0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.14 % Command : run_vampire %s %d 0.13/0.35 % Computer : n004.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Thu Jul 2 08:56:14 EDT 2020 0.13/0.35 % CPUTime : 0.21/0.41 % (15332)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark 0.21/0.41 % (15333)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark 0.21/0.42 % (15339)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 0.21/0.42 % (15336)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.21/0.42 % (15337)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark 0.21/0.42 % (15347)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark 0.21/0.43 % (15334)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark 0.21/0.43 % (15335)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark 0.21/0.43 % (15354)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark 0.21/0.44 % (15346)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark 0.21/0.44 % (15351)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark 0.21/0.44 % (15341)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 0.21/0.44 % (15355)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark 0.21/0.45 % (15342)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_40 on theBenchmark 0.21/0.45 % (15349)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 0.21/0.45 % (15344)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.21/0.45 % (15343)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark 0.21/0.45 % (15340)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 0.21/0.45 % (15360)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark 0.21/0.45 % (15352)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark 0.21/0.45 % (15350)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark 0.21/0.45 % (15338)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark 0.21/0.45 % (15348)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark 0.21/0.46 % (15361)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_50 on theBenchmark 0.21/0.46 % (15359)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark 0.21/0.46 % (15358)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark 0.21/0.46 % (15353)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark 0.21/0.47 % (15356)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark 0.21/0.47 % (15357)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.21/0.47 % (15345)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 3.81/0.92 % (15346)Time limit reached! 3.81/0.92 % (15346)------------------------------ 3.81/0.92 % (15346)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.81/0.92 % (15346)Termination reason: Time limit 3.81/0.92 3.81/0.92 % (15346)Memory used [KB]: 8187 3.81/0.92 % (15346)Time elapsed: 0.506 s 3.81/0.92 % (15346)------------------------------ 3.81/0.92 % (15346)------------------------------ 4.62/0.97 % (15362)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 5.08/1.03 % (15334)Time limit reached! 5.08/1.03 % (15334)------------------------------ 5.08/1.03 % (15334)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 5.08/1.03 % (15334)Termination reason: Time limit 5.08/1.03 5.08/1.03 % (15334)Memory used [KB]: 14328 5.08/1.03 % (15334)Time elapsed: 0.634 s 5.08/1.03 % (15334)------------------------------ 5.08/1.03 % (15334)------------------------------ 5.41/1.07 % (15335)Time limit reached! 5.41/1.07 % (15335)------------------------------ 5.41/1.07 % (15335)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 5.41/1.08 % (15338)Time limit reached! 5.41/1.08 % (15338)------------------------------ 5.41/1.08 % (15338)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 5.41/1.08 % (15363)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 5.41/1.08 % (15335)Termination reason: Time limit 5.41/1.08 5.41/1.08 % (15335)Memory used [KB]: 15095 5.41/1.08 % (15335)Time elapsed: 0.667 s 5.41/1.08 % (15335)------------------------------ 5.41/1.08 % (15335)------------------------------ 5.41/1.09 % (15338)Termination reason: Time limit 5.41/1.09 5.41/1.09 % (15338)Memory used [KB]: 19701 5.41/1.09 % (15338)Time elapsed: 0.663 s 5.41/1.09 % (15338)------------------------------ 5.41/1.09 % (15338)------------------------------ 5.41/1.13 % (15364)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 5.94/1.15 % (15365)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 8.45/1.52 % (15354)Time limit reached! 8.45/1.52 % (15354)------------------------------ 8.45/1.52 % (15354)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.45/1.52 % (15354)Termination reason: Time limit 8.45/1.52 8.45/1.52 % (15354)Memory used [KB]: 6140 8.45/1.52 % (15354)Time elapsed: 1.104 s 8.45/1.52 % (15354)------------------------------ 8.45/1.52 % (15354)------------------------------ 9.08/1.56 % (15366)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 10.18/1.71 % (15365)Refutation not found, incomplete strategy 10.18/1.71 % (15365)------------------------------ 10.18/1.71 % (15365)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 10.18/1.71 % (15365)Termination reason: Refutation not found, incomplete strategy 10.18/1.71 10.18/1.71 % (15365)Memory used [KB]: 13304 10.18/1.71 % (15365)Time elapsed: 0.600 s 10.18/1.71 % (15365)------------------------------ 10.18/1.71 % (15365)------------------------------ 10.83/1.76 % (15367)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 11.01/1.81 % (15343)Time limit reached! 11.01/1.81 % (15343)------------------------------ 11.01/1.81 % (15343)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.01/1.81 % (15343)Termination reason: Time limit 11.01/1.81 % (15343)Termination phase: Property scanning 11.01/1.81 11.01/1.81 % (15343)Memory used [KB]: 2558 11.01/1.81 % (15343)Time elapsed: 0.500 s 11.01/1.81 % (15343)------------------------------ 11.01/1.81 % (15343)------------------------------ 11.56/1.86 % (15368)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 13.22/2.08 % (15332)Time limit reached! 13.22/2.08 % (15332)------------------------------ 13.22/2.08 % (15332)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.22/2.08 % (15332)Termination reason: Time limit 13.22/2.08 % (15332)Termination phase: Function definition elimination 13.22/2.08 13.22/2.08 % (15332)Memory used [KB]: 2430 13.22/2.08 % (15332)Time elapsed: 0.500 s 13.22/2.08 % (15332)------------------------------ 13.22/2.08 % (15332)------------------------------ 13.22/2.12 % (15333)Time limit reached! 13.22/2.12 % (15333)------------------------------ 13.22/2.12 % (15333)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.22/2.12 % (15333)Termination reason: Time limit 13.22/2.12 % (15333)Termination phase: Function definition elimination 13.22/2.12 13.22/2.12 % (15333)Memory used [KB]: 2430 13.22/2.12 % (15333)Time elapsed: 0.500 s 13.22/2.12 % (15333)------------------------------ 13.22/2.12 % (15333)------------------------------ 13.56/2.13 % (15369)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 14.04/2.17 % (15370)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 14.04/2.18 % (15344)Time limit reached! 14.04/2.18 % (15344)------------------------------ 14.04/2.18 % (15344)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 14.04/2.18 % (15344)Termination reason: Time limit 14.04/2.18 % (15344)Termination phase: Function definition elimination 14.04/2.18 14.04/2.18 % (15344)Memory used [KB]: 2430 14.04/2.18 % (15344)Time elapsed: 0.500 s 14.04/2.18 % (15344)------------------------------ 14.04/2.18 % (15344)------------------------------ 14.04/2.22 % (15371)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 16.31/2.46 % (15341)Time limit reached! 16.31/2.46 % (15341)------------------------------ 16.31/2.46 % (15341)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 16.31/2.46 % (15341)Termination reason: Time limit 16.31/2.46 % (15341)Termination phase: Function definition elimination 16.31/2.46 16.31/2.46 % (15341)Memory used [KB]: 2430 16.31/2.46 % (15341)Time elapsed: 0.600 s 16.31/2.46 % (15341)------------------------------ 16.31/2.46 % (15341)------------------------------ 16.31/2.51 % (15372)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 18.49/2.74 % (15370)Refutation not found, incomplete strategy 18.49/2.74 % (15370)------------------------------ 18.49/2.74 % (15370)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 18.49/2.74 % (15370)Termination reason: Refutation not found, incomplete strategy 18.49/2.74 18.49/2.74 % (15370)Memory used [KB]: 16758 18.49/2.74 % (15370)Time elapsed: 0.598 s 18.49/2.74 % (15370)------------------------------ 18.49/2.74 % (15370)------------------------------ 18.84/2.79 % (15373)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 23.26/3.36 % (15373)Refutation not found, incomplete strategy 23.26/3.36 % (15373)------------------------------ 23.26/3.36 % (15373)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 23.26/3.36 % (15373)Termination reason: Refutation not found, incomplete strategy 23.26/3.36 23.26/3.36 % (15373)Memory used [KB]: 15351 23.26/3.36 % (15373)Time elapsed: 0.588 s 23.26/3.36 % (15373)------------------------------ 23.26/3.36 % (15373)------------------------------ 23.69/3.40 % (15374)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 24.32/3.46 % (15350)Time limit reached! 24.32/3.46 % (15350)------------------------------ 24.32/3.46 % (15350)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 24.32/3.46 % (15350)Termination reason: Time limit 24.32/3.46 % (15350)Termination phase: Function definition elimination 24.32/3.46 24.32/3.46 % (15350)Memory used [KB]: 2430 24.32/3.46 % (15350)Time elapsed: 0.900 s 24.32/3.46 % (15350)------------------------------ 24.32/3.46 % (15350)------------------------------ 24.54/3.50 % (15375)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 25.06/3.57 % (15372)Time limit reached! 25.06/3.57 % (15372)------------------------------ 25.06/3.57 % (15372)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.06/3.57 % (15372)Termination reason: Time limit 25.06/3.57 25.06/3.57 % (15372)Memory used [KB]: 13304 25.06/3.57 % (15372)Time elapsed: 1.106 s 25.06/3.57 % (15372)------------------------------ 25.06/3.57 % (15372)------------------------------ 25.59/3.62 % (15376)lrs+10_3:1_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_73 on theBenchmark 25.59/3.63 % (15353)Time limit reached! 25.59/3.63 % (15353)------------------------------ 25.59/3.63 % (15353)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.59/3.66 % (15349)Time limit reached! 25.59/3.66 % (15349)------------------------------ 25.59/3.66 % (15349)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.59/3.66 % (15349)Termination reason: Time limit 25.59/3.66 25.59/3.66 % (15349)Memory used [KB]: 33517 25.59/3.66 % (15349)Time elapsed: 3.257 s 25.59/3.66 % (15349)------------------------------ 25.59/3.66 % (15349)------------------------------ 25.59/3.66 % (15353)Termination reason: Time limit 25.59/3.66 25.59/3.66 % (15353)Memory used [KB]: 51299 25.59/3.66 % (15353)Time elapsed: 3.215 s 25.59/3.66 % (15353)------------------------------ 25.59/3.66 % (15353)------------------------------ 25.59/3.66 % (15351)Time limit reached! 25.59/3.66 % (15351)------------------------------ 25.59/3.66 % (15351)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.59/3.66 % (15351)Termination reason: Time limit 25.59/3.66 % (15351)Termination phase: Function definition elimination 25.59/3.66 25.59/3.66 % (15351)Memory used [KB]: 2430 25.59/3.66 % (15351)Time elapsed: 1.100 s 25.59/3.66 % (15351)------------------------------ 25.59/3.66 % (15351)------------------------------ 25.97/3.70 % (15378)lrs+4_3_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:bs=unit_only:cond=fast:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:lwlo=on:nm=6:nwc=1:stl=60:sp=occurrence:uhcvi=on_481 on theBenchmark 25.97/3.71 % (15377)dis+10_1_add=off:afp=4000:csup=on:inj=on:chr=on:e2e=on:foolp=on:cnfonf=eager:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_12 on theBenchmark 25.97/3.71 % (15379)lrs+1002_1_av=off:fde=unused:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:lwlo=on:nm=16:nwc=4:sp=occurrence_300 on theBenchmark 27.74/3.91 % (15364)Time limit reached! 27.74/3.91 % (15364)------------------------------ 27.74/3.91 % (15364)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 27.74/3.91 % (15364)Termination reason: Time limit 27.74/3.91 27.74/3.91 % (15364)Memory used [KB]: 17526 27.74/3.91 % (15364)Time elapsed: 2.815 s 27.74/3.91 % (15364)------------------------------ 27.74/3.91 % (15364)------------------------------ 27.74/3.93 % (15347)Time limit reached! 27.74/3.93 % (15347)------------------------------ 27.74/3.93 % (15347)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 27.74/3.94 % (15347)Termination reason: Time limit 27.74/3.94 % (15347)Termination phase: Function definition elimination 27.74/3.94 27.74/3.94 % (15347)Memory used [KB]: 2430 27.74/3.94 % (15347)Time elapsed: 1.0000 s 27.74/3.94 % (15347)------------------------------ 27.74/3.94 % (15347)------------------------------ 28.31/3.95 % (15380)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_not_gen_be_off:bet=on:sup=off:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_70 on theBenchmark 28.48/3.99 % (15381)lrs-11_4:1_afp=4000:csup=on:inj=on:bet=on:foolp=on:cnfonf=lazy_not_gen_be_off:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_45 on theBenchmark 30.04/4.18 % (15363)Time limit reached! 30.04/4.18 % (15363)------------------------------ 30.04/4.18 % (15363)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 30.04/4.20 % (15363)Termination reason: Time limit 30.04/4.20 30.04/4.20 % (15363)Memory used [KB]: 11897 30.04/4.20 % (15363)Time elapsed: 3.134 s 30.04/4.20 % (15363)------------------------------ 30.04/4.20 % (15363)------------------------------ 30.56/4.25 % (15382)lrs+1011_8_add=large:csup=on:e2e=on:prag=on:mXXn=1:cnfonf=lazy_simp:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_19 on theBenchmark 30.56/4.26 % (15345)Time limit reached! 30.56/4.26 % (15345)------------------------------ 30.56/4.26 % (15345)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 30.56/4.26 % (15345)Termination reason: Time limit 30.56/4.26 % (15345)Termination phase: Function definition elimination 30.56/4.26 30.56/4.26 % (15345)Memory used [KB]: 2430 30.56/4.26 % (15345)Time elapsed: 1.100 s 30.56/4.26 % (15345)------------------------------ 30.56/4.26 % (15345)------------------------------ 30.70/4.31 % (15383)dis+1011_4_av=off:cond=on:piset=false_true_not:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 32.23/4.44 % (15366)Time limit reached! 32.23/4.44 % (15366)------------------------------ 32.23/4.44 % (15366)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 32.23/4.44 % (15366)Termination reason: Time limit 32.23/4.44 % (15366)Termination phase: Saturation 32.23/4.44 32.23/4.44 % (15366)Memory used [KB]: 22003 32.23/4.44 % (15366)Time elapsed: 2.900 s 32.23/4.44 % (15366)------------------------------ 32.23/4.44 % (15366)------------------------------ 32.23/4.47 % (15384)dis+1002_7_acc=on:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_73 on theBenchmark 32.60/4.49 % (15371)Time limit reached! 32.60/4.49 % (15371)------------------------------ 32.60/4.49 % (15371)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 32.60/4.49 % (15371)Termination reason: Time limit 32.60/4.49 32.60/4.49 % (15371)Memory used [KB]: 40809 32.60/4.49 % (15371)Time elapsed: 2.294 s 32.60/4.49 % (15371)------------------------------ 32.60/4.49 % (15371)------------------------------ 32.60/4.54 % (15385)dis+11_24_afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.1:amm=sco:anc=none:bs=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=2:nwc=1:sos=on:sac=on:updr=off_91 on theBenchmark 33.52/4.64 % (15342)Time limit reached! 33.52/4.64 % (15342)------------------------------ 33.52/4.64 % (15342)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 33.52/4.64 % (15342)Termination reason: Time limit 33.52/4.64 33.52/4.64 % (15342)Memory used [KB]: 42088 33.52/4.64 % (15342)Time elapsed: 4.237 s 33.52/4.64 % (15342)------------------------------ 33.52/4.64 % (15342)------------------------------ 33.82/4.71 % (15386)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:csup=on:foolp=on:ptlr=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 33.82/4.73 % (15336)Time limit reached! 33.82/4.73 % (15336)------------------------------ 33.82/4.73 % (15336)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 33.82/4.73 % (15336)Termination reason: Time limit 33.82/4.73 % (15336)Termination phase: Property scanning 33.82/4.73 33.82/4.73 % (15336)Memory used [KB]: 2430 33.82/4.73 % (15336)Time elapsed: 1.500 s 33.82/4.73 % (15336)------------------------------ 33.82/4.73 % (15336)------------------------------ 34.82/4.79 % (15387)lrs+1011_5_afr=on:afp=100000:narr=ski:prag=on:mXXn=3:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:cond=on:lma=on:nm=6:nwc=1:stl=30:sac=on:urr=on_15 on theBenchmark 37.11/5.08 % (15377)Time limit reached! 37.11/5.08 % (15377)------------------------------ 37.11/5.08 % (15377)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 37.40/5.09 % (15377)Termination reason: Time limit 37.40/5.09 % (15377)Termination phase: Saturation 37.40/5.09 37.40/5.09 % (15377)Memory used [KB]: 17526 37.40/5.09 % (15377)Time elapsed: 1.400 s 37.40/5.09 % (15377)------------------------------ 37.40/5.09 % (15377)------------------------------ 37.77/5.14 % (15388)lrs+1011_5:4_acc=on:narr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:add=large:afr=on:afp=0:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_12 on theBenchmark 40.33/5.46 % (15357)Time limit reached! 40.33/5.46 % (15357)------------------------------ 40.33/5.46 % (15357)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 40.33/5.46 % (15357)Termination reason: Time limit 40.33/5.46 % (15357)Termination phase: Property scanning 40.33/5.46 40.33/5.46 % (15357)Memory used [KB]: 2430 40.33/5.46 % (15357)Time elapsed: 1.500 s 40.33/5.46 % (15357)------------------------------ 40.33/5.46 % (15357)------------------------------ 40.33/5.51 % (15389)lrs+1011_8_add=large:csup=on:narr=off:fe=off:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_10 on theBenchmark 41.24/5.60 % (15355)Time limit reached! 41.24/5.60 % (15355)------------------------------ 41.24/5.60 % (15355)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 41.24/5.62 % (15355)Termination reason: Time limit 41.24/5.62 % (15355)Termination phase: Saturation 41.24/5.62 41.24/5.62 % (15355)Memory used [KB]: 40425 41.24/5.62 % (15355)Time elapsed: 5.200 s 41.24/5.62 % (15355)------------------------------ 41.24/5.62 % (15355)------------------------------ 42.03/5.68 % (15390)lrs+11_3:2_add=large:afp=1000:afq=1.1:amm=sco:anc=none:csup=on:foolp=on:ptlr=on:bd=off:er=filter:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sp=occurrence:urr=on:updr=off_10 on theBenchmark 42.57/5.74 % (15375)Time limit reached! 42.57/5.74 % (15375)------------------------------ 42.57/5.74 % (15375)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 42.57/5.74 % (15375)Termination reason: Time limit 42.57/5.74 % (15375)Termination phase: Function definition elimination 42.57/5.74 42.57/5.74 % (15375)Memory used [KB]: 2430 42.57/5.74 % (15375)Time elapsed: 0.800 s 42.57/5.74 % (15375)------------------------------ 42.57/5.74 % (15375)------------------------------ 42.57/5.76 % (15337)Time limit reached! 42.57/5.76 % (15337)------------------------------ 42.57/5.76 % (15337)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 42.57/5.76 % (15337)Termination reason: Time limit 42.57/5.76 % (15337)Termination phase: Property scanning 42.57/5.76 42.57/5.76 % (15337)Memory used [KB]: 2430 42.57/5.76 % (15337)Time elapsed: 1.600 s 42.57/5.76 % (15337)------------------------------ 42.57/5.76 % (15337)------------------------------ 42.57/5.80 % (15391)lrs+1011_8_add=large:csup=on:piset=all:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_31 on theBenchmark 42.57/5.81 % (15392)lrs+1_8:1_av=off:cond=fast:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fde=unused:lcm=predicate:nm=16:nwc=10:sp=occurrence:urr=ec_only_600 on theBenchmark 43.46/5.93 % (15389)Refutation not found, incomplete strategy 43.46/5.93 % (15389)------------------------------ 43.46/5.93 % (15389)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 43.46/5.93 % (15389)Termination reason: Refutation not found, incomplete strategy 43.46/5.93 43.46/5.93 % (15389)Memory used [KB]: 13304 43.46/5.93 % (15389)Time elapsed: 0.476 s 43.46/5.93 % (15389)------------------------------ 43.46/5.93 % (15389)------------------------------ 44.14/5.97 % (15393)dis+1011_5_add=off:afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=10000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:nm=32:nwc=1:sd=3:ss=axioms:st=2.0:sp=occurrence:updr=off_2 on theBenchmark 47.22/6.33 % (15382)Time limit reached! 47.22/6.33 % (15382)------------------------------ 47.22/6.33 % (15382)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 47.22/6.33 % (15382)Termination reason: Time limit 47.22/6.33 47.22/6.33 % (15382)Memory used [KB]: 16886 47.22/6.33 % (15382)Time elapsed: 2.133 s 47.22/6.33 % (15382)------------------------------ 47.22/6.33 % (15382)------------------------------ 47.52/6.38 % (15395)lrs-11_4:1_afp=0:narr=sk:prag=on:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark 48.10/6.47 % (15393)Time limit reached! 48.10/6.47 % (15393)------------------------------ 48.10/6.47 % (15393)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 48.10/6.47 % (15393)Termination reason: Time limit 48.10/6.47 48.10/6.47 % (15393)Memory used [KB]: 7547 48.10/6.47 % (15393)Time elapsed: 0.524 s 48.10/6.47 % (15393)------------------------------ 48.10/6.47 % (15393)------------------------------ 48.36/6.49 % (15383)Time limit reached! 48.36/6.49 % (15383)------------------------------ 48.36/6.49 % (15383)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 48.36/6.49 % (15383)Termination reason: Time limit 48.36/6.49 % (15383)Termination phase: Function definition elimination 48.36/6.49 48.36/6.49 % (15383)Memory used [KB]: 2430 48.36/6.49 % (15383)Time elapsed: 0.800 s 48.36/6.49 % (15383)------------------------------ 48.36/6.49 % (15383)------------------------------ 48.36/6.53 % (15400)dis+1002_6_add=large:csup=on:narr=sk:prag=on:mXXn=4:inj=on:chr=on:foolp=on:cnfonf=eager:afp=0:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_22 on theBenchmark 48.87/6.54 % (15407)lrs-11_4:1_afp=0:fe=axiom:narr=sk:prag=on:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark 51.54/6.92 % (15388)Time limit reached! 51.54/6.92 % (15388)------------------------------ 51.54/6.92 % (15388)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 51.54/6.92 % (15388)Termination reason: Time limit 51.54/6.92 % (15388)Termination phase: Saturation 51.54/6.92 51.54/6.92 % (15388)Memory used [KB]: 21620 51.54/6.92 % (15388)Time elapsed: 1.831 s 51.54/6.92 % (15388)------------------------------ 51.54/6.92 % (15388)------------------------------ 52.06/6.95 % (15416)dis+1_3_add=large:afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sos=all:sac=on:uwa=all:updr=off:uhcvi=on_300 on theBenchmark 64.15/8.46 % (15390)Time limit reached! 64.15/8.46 % (15390)------------------------------ 64.15/8.46 % (15390)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 64.15/8.46 % (15390)Termination reason: Time limit 64.15/8.46 % (15390)Termination phase: Function definition elimination 64.15/8.46 64.15/8.46 % (15390)Memory used [KB]: 2430 64.15/8.46 % (15390)Time elapsed: 1.200 s 64.15/8.46 % (15390)------------------------------ 64.15/8.46 % (15390)------------------------------ 64.15/8.50 % (15637)lrs+1011_10_aac=none:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:acc=model:add=large:afp=40000:afq=2.0:anc=none:bd=off:bsr=on:fsr=off:gs=on:gsem=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=3:nicw=on:stl=30_38 on theBenchmark 65.99/8.70 % (15381)Time limit reached! 65.99/8.70 % (15381)------------------------------ 65.99/8.70 % (15381)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 65.99/8.71 % (15381)Termination reason: Time limit 65.99/8.71 65.99/8.71 % (15381)Memory used [KB]: 56928 65.99/8.71 % (15381)Time elapsed: 4.740 s 65.99/8.71 % (15381)------------------------------ 65.99/8.71 % (15381)------------------------------ 66.39/8.74 % (15638)lrs+10_1:1_av=off:bsr=on:csup=on:fe=axiom:foolp=on:cnfonf=eager:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_67 on theBenchmark 68.93/9.07 % (15391)Time limit reached! 68.93/9.07 % (15391)------------------------------ 68.93/9.07 % (15391)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 68.93/9.08 % (15391)Termination reason: Time limit 68.93/9.08 % (15391)Termination phase: Saturation 68.93/9.08 68.93/9.08 % (15391)Memory used [KB]: 19189 68.93/9.08 % (15391)Time elapsed: 3.324 s 68.93/9.08 % (15391)------------------------------ 68.93/9.08 % (15391)------------------------------ 68.93/9.11 % (15639)ott+11_2:1_add=large:narr=ski:prag=on:mXXn=4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=0:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_9 on theBenchmark 69.53/9.14 % (15339)Time limit reached! 69.53/9.14 % (15339)------------------------------ 69.53/9.14 % (15339)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 69.53/9.14 % (15339)Termination reason: Time limit 69.53/9.14 % (15339)Termination phase: Property scanning 69.53/9.14 69.53/9.14 % (15339)Memory used [KB]: 2430 69.53/9.14 % (15339)Time elapsed: 3.400 s 69.53/9.14 % (15339)------------------------------ 69.53/9.14 % (15339)------------------------------ 69.90/9.18 % (15640)ott+1002_8:1_add=off:csup=on:fe=axiom:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_15 on theBenchmark 72.96/9.57 % (15361)Time limit reached! 72.96/9.57 % (15361)------------------------------ 72.96/9.57 % (15361)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 72.96/9.59 % (15361)Termination reason: Time limit 72.96/9.59 72.96/9.59 % (15361)Memory used [KB]: 18293 72.96/9.59 % (15361)Time elapsed: 9.178 s 72.96/9.59 % (15361)------------------------------ 72.96/9.59 % (15361)------------------------------ 73.50/9.63 % (15641)dis+1011_10_add=large:csup=on:narr=off: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_20 on theBenchmark 73.74/9.67 % (15386)Time limit reached! 73.74/9.67 % (15386)------------------------------ 73.74/9.67 % (15386)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 73.74/9.67 % (15386)Termination reason: Time limit 73.74/9.67 % (15386)Termination phase: Property scanning 73.74/9.67 73.74/9.67 % (15386)Memory used [KB]: 2430 73.74/9.67 % (15386)Time elapsed: 1.500 s 73.74/9.67 % (15386)------------------------------ 73.74/9.67 % (15386)------------------------------ 73.74/9.72 % Exception at run slice level 73.74/9.72 User error: bad test id rs-11_4:1_afp=0:fe=axiom:narr=off: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 74.35/9.76 % (15643)lrs+1011_5_add=large:csup=on:fe=axiom:ntd=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=0: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_40 on theBenchmark 76.78/10.04 % (15387)Time limit reached! 76.78/10.04 % (15387)------------------------------ 76.78/10.04 % (15387)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 76.78/10.04 % (15387)Termination reason: Time limit 76.78/10.04 % (15387)Termination phase: Property scanning 76.78/10.04 76.78/10.04 % (15387)Memory used [KB]: 2430 76.78/10.04 % (15387)Time elapsed: 1.700 s 76.78/10.04 % (15387)------------------------------ 76.78/10.04 % (15387)------------------------------ 76.96/10.08 % (15644)lrs+1002_1_av=off:csup=on:e2e=on:cs=on:fde=unused:lwlo=on:nm=16:nwc=4:sp=occurrence_150 on theBenchmark 77.76/10.17 % (15340)Time limit reached! 77.76/10.17 % (15340)------------------------------ 77.76/10.17 % (15340)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 77.76/10.19 % (15340)Termination reason: Time limit 77.76/10.19 % (15340)Termination phase: Property scanning 77.76/10.19 77.76/10.19 % (15340)Memory used [KB]: 2430 77.76/10.19 % (15340)Time elapsed: 3.100 s 77.76/10.19 % (15340)------------------------------ 77.76/10.19 % (15340)------------------------------ 77.76/10.20 % (15639)Time limit reached! 77.76/10.20 % (15639)------------------------------ 77.76/10.20 % (15639)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 77.76/10.20 % (15639)Termination reason: Time limit 77.76/10.20 % (15639)Termination phase: Saturation 77.76/10.20 77.76/10.20 % (15639)Memory used [KB]: 13688 77.76/10.20 % (15639)Time elapsed: 1.100 s 77.76/10.20 % (15639)------------------------------ 77.76/10.20 % (15639)------------------------------ 78.34/10.24 % (15645)ott+2_1:1_csup=on:afp=0:fe=axiom:narr=off:prag=on:cs=on_50 on theBenchmark 78.34/10.25 % (15646)lrs+1011_2:1_av=off:fe=axiom:narr=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_100 on theBenchmark 79.97/10.46 % (15643)Refutation found. Thanks to Tanya! 79.97/10.46 % SZS status Theorem for theBenchmark 80.27/10.48 % SZS output start Proof for theBenchmark 80.27/10.48 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 80.27/10.48 tff(func_def_4, type, is_of: '$i' -> ('$i' -> '$o') -> '$o'). 80.27/10.48 tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 80.27/10.48 tff(func_def_6, type, all_of: ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'). 80.27/10.48 tff(func_def_7, type, eps: ('$i' -> '$o') -> '$i'). 80.27/10.48 tff(func_def_8, type, in: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_9, type, d_Subq: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_11, type, union: '$i' -> '$i'). 80.27/10.48 tff(func_def_12, type, power: '$i' -> '$i'). 80.27/10.48 tff(func_def_13, type, repl: '$i' -> ('$i' -> '$i') -> '$i'). 80.27/10.48 tff(func_def_14, type, d_Union_closed: '$i' -> '$o'). 80.27/10.48 tff(func_def_15, type, d_Power_closed: '$i' -> '$o'). 80.27/10.48 tff(func_def_16, type, d_Repl_closed: '$i' -> '$o'). 80.27/10.48 tff(func_def_17, type, d_ZF_closed: '$i' -> '$o'). 80.27/10.48 tff(func_def_18, type, univof: '$i' -> '$i'). 80.27/10.48 tff(func_def_19, type, if: '$o' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_20, type, nIn: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_21, type, d_UPair: '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_22, type, d_Sing: '$i' -> '$i'). 80.27/10.48 tff(func_def_23, type, binunion: '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_24, type, famunion: '$i' -> ('$i' -> '$i') -> '$i'). 80.27/10.48 tff(func_def_25, type, d_Sep: '$i' -> ('$i' -> '$o') -> '$i'). 80.27/10.48 tff(func_def_26, type, d_ReplSep: '$i' -> ('$i' -> '$o') -> ('$i' -> '$i') -> '$i'). 80.27/10.48 tff(func_def_27, type, setminus: '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_28, type, d_In_rec_G: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_29, type, d_In_rec: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i'). 80.27/10.48 tff(func_def_30, type, ordsucc: '$i' -> '$i'). 80.27/10.48 tff(func_def_31, type, nat_p: '$i' -> '$o'). 80.27/10.48 tff(func_def_33, type, d_Inj1: '$i' -> '$i'). 80.27/10.48 tff(func_def_34, type, d_Inj0: '$i' -> '$i'). 80.27/10.48 tff(func_def_35, type, d_Unj: '$i' -> '$i'). 80.27/10.48 tff(func_def_36, type, pair: '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_37, type, proj0: '$i' -> '$i'). 80.27/10.48 tff(func_def_38, type, proj1: '$i' -> '$i'). 80.27/10.48 tff(func_def_39, type, d_Sigma: '$i' -> ('$i' -> '$i') -> '$i'). 80.27/10.48 tff(func_def_40, type, setprod: '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_41, type, ap: '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_42, type, pair_p: '$i' -> '$o'). 80.27/10.48 tff(func_def_43, type, d_Pi: '$i' -> ('$i' -> '$i') -> '$i'). 80.27/10.48 tff(func_def_44, type, imp: '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_45, type, d_not: '$o' -> '$o'). 80.27/10.48 tff(func_def_46, type, wel: '$o' -> '$o'). 80.27/10.48 tff(func_def_48, type, l_ec: '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_49, type, d_and: '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_50, type, l_or: '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_51, type, orec: '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_52, type, l_iff: '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_53, type, all: '$i' -> ('$i' -> '$o') -> '$o'). 80.27/10.48 tff(func_def_54, type, non: '$i' -> ('$i' -> '$o') -> '$i' -> '$o'). 80.27/10.48 tff(func_def_55, type, l_some: '$i' -> ('$i' -> '$o') -> '$o'). 80.27/10.48 tff(func_def_56, type, or3: '$o' -> '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_57, type, and3: '$o' -> '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_58, type, ec3: '$o' -> '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_59, type, orec3: '$o' -> '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_60, type, e_is: '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_61, type, amone: '$i' -> ('$i' -> '$o') -> '$o'). 80.27/10.48 tff(func_def_62, type, one: '$i' -> ('$i' -> '$o') -> '$o'). 80.27/10.48 tff(func_def_63, type, ind: '$i' -> ('$i' -> '$o') -> '$i'). 80.27/10.48 tff(func_def_64, type, injective: '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_65, type, image: '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_66, type, tofs: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_67, type, soft: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_68, type, inverse: '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_69, type, surjective: '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_70, type, bijective: '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_71, type, invf: '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_72, type, inj_h: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_73, type, e_in: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 80.27/10.48 tff(func_def_74, type, out: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 80.27/10.48 tff(func_def_75, type, d_pair: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_76, type, first: '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_77, type, second: '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_78, type, prop1: '$o' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_79, type, ite: '$o' -> '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_80, type, wissel_wa: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_81, type, wissel_wb: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_82, type, wissel: '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_83, type, changef: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_84, type, r_ec: '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_85, type, esti: '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_86, type, empty: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_87, type, nonempty: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_88, type, incl: '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_89, type, st_disj: '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_90, type, nissetprop: '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_91, type, unmore: '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_92, type, ecelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 80.27/10.48 tff(func_def_93, type, ecp: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_94, type, anec: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$o'). 80.27/10.48 tff(func_def_95, type, ect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 80.27/10.48 tff(func_def_96, type, ectset: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 80.27/10.48 tff(func_def_97, type, ectelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 80.27/10.48 tff(func_def_98, type, ecect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 80.27/10.48 tff(func_def_99, type, fixfu: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_100, type, d_10_prop1: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_101, type, prop2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_102, type, indeq: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_103, type, fixfu2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_104, type, d_11_i: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_105, type, indeq2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_107, type, n_is: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_108, type, nis: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_109, type, n_in: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_110, type, n_some: ('$i' -> '$o') -> '$o'). 80.27/10.48 tff(func_def_111, type, n_all: ('$i' -> '$o') -> '$o'). 80.27/10.48 tff(func_def_112, type, n_one: ('$i' -> '$o') -> '$o'). 80.27/10.48 tff(func_def_114, type, cond1: '$i' -> '$o'). 80.27/10.48 tff(func_def_115, type, cond2: '$i' -> '$o'). 80.27/10.48 tff(func_def_116, type, i1_s: ('$i' -> '$o') -> '$i'). 80.27/10.48 tff(func_def_117, type, d_22_prop1: '$i' -> '$o'). 80.27/10.48 tff(func_def_118, type, d_23_prop1: '$i' -> '$o'). 80.27/10.48 tff(func_def_119, type, d_24_prop1: '$i' -> '$o'). 80.27/10.48 tff(func_def_120, type, d_24_prop2: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_121, type, prop3: '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_122, type, prop4: '$i' -> '$o'). 80.27/10.48 tff(func_def_123, type, d_24_g: '$i' -> '$i'). 80.27/10.48 tff(func_def_124, type, plus: '$i' -> '$i'). 80.27/10.48 tff(func_def_125, type, n_pl: '$i' -> '$i' -> '$i'). 80.27/10.48 tff(func_def_126, type, d_25_prop1: '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_127, type, d_26_prop1: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_128, type, d_27_prop1: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_129, type, d_28_prop1: '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_130, type, diffprop: '$i' -> '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_131, type, d_29_ii: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_132, type, iii: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_133, type, d_29_prop1: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_134, type, moreis: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_135, type, lessis: '$i' -> '$i' -> '$o'). 80.27/10.48 tff(func_def_136, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 80.27/10.48 tff(func_def_137, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 80.27/10.48 tff(func_def_138, type, vIMP: '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_139, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 80.27/10.48 tff(func_def_140, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 80.27/10.48 tff(func_def_143, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 80.27/10.48 tff(func_def_144, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 80.27/10.48 tff(func_def_145, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 80.27/10.48 tff(func_def_146, type, vAND: '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_147, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 80.27/10.48 tff(func_def_148, type, vNOT: '$o' -> '$o'). 80.27/10.48 tff(func_def_149, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 80.27/10.48 tff(func_def_150, type, vOR: '$o' -> '$o' -> '$o'). 80.27/10.48 tff(func_def_151, type, diff: !>[X0: $ttype, X1: $ttype]:(X0 -> X1) -> (X0 -> X1) -> X0). 80.27/10.48 tff(func_def_152, type, sK0: ('$i' -> '$o') -> '$i'). 80.27/10.48 tff(f1,axiom,( 80.27/10.48 is_of = (^[X0 : '$i', X1 : '$i' -> '$o'] : X1 @ X0)), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_is_of)). 80.27/10.48 tff(f2,axiom,( 80.27/10.48 all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_all_of)). 80.27/10.48 tff(f102,axiom,( 80.27/10.48 ordsucc @ emptyset = n_1), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_1)). 80.27/10.48 tff(f109,axiom,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : is_of @ (ordsucc @ X0) @ (^[X1 : '$i'] : in @ X1 @ nat))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',suc_p)). 80.27/10.48 tff(f118,axiom,( 80.27/10.48 is_of @ n_1 @ (^[X0 : '$i'] : in @ X0 @ nat)), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_1_p)). 80.27/10.48 tff(f207,axiom,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_not @ (d_29_ii @ X0 @ X1) => lessis @ X0 @ X1))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10e)). 80.27/10.48 tff(f209,axiom,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : iii @ n_1 @ (ordsucc @ X0))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz24c)). 80.27/10.48 tff(f220,axiom,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : lessis @ X0 @ X1 => moreis @ X1 @ X0))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz14)). 80.27/10.48 tff(f222,axiom,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_not @ (iii @ X0 @ X1) => moreis @ X0 @ X1))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10f)). 80.27/10.48 tff(f225,axiom,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : iii @ X0 @ X1 => d_not @ (moreis @ X0 @ X1)))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10h)). 80.27/10.48 tff(f230,axiom,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : iii @ X1 @ (ordsucc @ X0) => lessis @ X1 @ X0))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz26a)). 80.27/10.48 tff(f237,axiom,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : moreis @ X0 @ X1 => d_not @ (iii @ X0 @ X1)))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10c)). 80.27/10.48 tff(f240,axiom,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_29_ii @ X0 @ X1 => iii @ X1 @ X0))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz11)). 80.27/10.48 tff(f241,axiom,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : iii @ X1 @ X0 => lessis @ (ordsucc @ X1) @ X0))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz25c)). 80.27/10.48 tff(f242,axiom,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : lessis @ X0 @ X1 => d_not @ (d_29_ii @ X0 @ X1)))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10d)). 80.27/10.48 tff(f257,conjecture,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_29_ii @ (ordsucc @ X1) @ X0 => moreis @ X1 @ X0))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz26c)). 80.27/10.48 tff(f258,negated_conjecture,( 80.27/10.48 ~all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_29_ii @ (ordsucc @ X1) @ X0 => moreis @ X1 @ X0))), 80.27/10.48 inference(negated_conjecture,[],[f257])). 80.27/10.48 tff(f263,axiom,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ nat) @ (^[X1 : '$i'] : d_not @ (moreis @ X0 @ X1) => iii @ X0 @ X1))), 80.27/10.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10j)). 80.27/10.48 tff(f279,plain,( 80.27/10.48 ~all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_29_ii @ (ordsucc @ X3) @ X1 => moreis @ X3 @ X1))), 80.27/10.48 inference(rectify,[],[f258])). 80.27/10.48 tff(f280,plain,( 80.27/10.48 ~(all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc)))) @ (cCOMB @ moreis))) = $true)), 80.27/10.48 inference(fool_elimination,[],[f279])). 80.27/10.48 tff(f395,plain,( 80.27/10.48 is_of = cCOMB @ iCOMB), 80.27/10.48 inference(fool_elimination,[],[f1])). 80.27/10.48 tff(f414,plain,( 80.27/10.48 all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))), 80.27/10.48 inference(rectify,[],[f2])). 80.27/10.48 tff(f415,plain,( 80.27/10.48 bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of), 80.27/10.48 inference(fool_elimination,[],[f414])). 80.27/10.48 tff(f528,plain,( 80.27/10.48 is_of @ n_1 @ (^[X0 : '$i'] : in @ X0 @ nat)), 80.27/10.48 inference(rectify,[],[f118])). 80.27/10.48 tff(f529,plain,( 80.27/10.48 (is_of @ n_1 @ (cCOMB @ in @ nat) = $true)), 80.27/10.48 inference(fool_elimination,[],[f528])). 80.27/10.48 tff(f534,plain,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : iii @ n_1 @ (ordsucc @ X1))), 80.27/10.48 inference(rectify,[],[f209])). 80.27/10.48 tff(f535,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (iii @ n_1) @ ordsucc) = $true)), 80.27/10.48 inference(fool_elimination,[],[f534])). 80.27/10.48 tff(f558,plain,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : is_of @ (ordsucc @ X1) @ (^[X2 : '$i'] : in @ X2 @ nat))), 80.27/10.48 inference(rectify,[],[f109])). 80.27/10.48 tff(f559,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ is_of @ ordsucc) @ (cCOMB @ in @ nat)) = $true)), 80.27/10.48 inference(fool_elimination,[],[f558])). 80.27/10.48 tff(f592,plain,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : moreis @ X1 @ X3 => d_not @ (iii @ X1 @ X3)))), 80.27/10.48 inference(rectify,[],[f237])). 80.27/10.48 tff(f593,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii))) = $true)), 80.27/10.48 inference(fool_elimination,[],[f592])). 80.27/10.48 tff(f594,plain,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : lessis @ X1 @ X3 => moreis @ X3 @ X1))), 80.27/10.48 inference(rectify,[],[f220])). 80.27/10.48 tff(f595,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) = $true)), 80.27/10.48 inference(fool_elimination,[],[f594])). 80.27/10.48 tff(f596,plain,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : lessis @ X1 @ X3 => d_not @ (d_29_ii @ X1 @ X3)))), 80.27/10.48 inference(rectify,[],[f242])). 80.27/10.48 tff(f597,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) = $true)), 80.27/10.48 inference(fool_elimination,[],[f596])). 80.27/10.48 tff(f598,plain,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_29_ii @ X1 @ X3 => iii @ X3 @ X1))), 80.27/10.48 inference(rectify,[],[f240])). 80.27/10.48 tff(f599,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 80.27/10.48 inference(fool_elimination,[],[f598])). 80.27/10.48 tff(f608,plain,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : iii @ X1 @ X3 => d_not @ (moreis @ X1 @ X3)))), 80.27/10.48 inference(rectify,[],[f225])). 80.27/10.48 tff(f609,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) = $true)), 80.27/10.48 inference(fool_elimination,[],[f608])). 80.27/10.48 tff(f610,plain,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : iii @ X3 @ X1 => lessis @ (ordsucc @ X3) @ X1))), 80.27/10.48 inference(rectify,[],[f241])). 80.27/10.48 tff(f611,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc)))) = $true)), 80.27/10.48 inference(fool_elimination,[],[f610])). 80.27/10.48 tff(f614,plain,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_not @ (moreis @ X1 @ X3) => iii @ X1 @ X3))), 80.27/10.48 inference(rectify,[],[f263])). 80.27/10.48 tff(f615,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) @ iii)) = $true)), 80.27/10.48 inference(fool_elimination,[],[f614])). 80.27/10.48 tff(f618,plain,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_not @ (d_29_ii @ X1 @ X3) => lessis @ X1 @ X3))), 80.27/10.48 inference(rectify,[],[f207])). 80.27/10.48 tff(f619,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) = $true)), 80.27/10.48 inference(fool_elimination,[],[f618])). 80.27/10.48 tff(f620,plain,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : d_not @ (iii @ X1 @ X3) => moreis @ X1 @ X3))), 80.27/10.48 inference(rectify,[],[f222])). 80.27/10.48 tff(f621,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) = $true)), 80.27/10.48 inference(fool_elimination,[],[f620])). 80.27/10.48 tff(f622,plain,( 80.27/10.48 all_of @ (^[X0 : '$i'] : in @ X0 @ nat) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ nat) @ (^[X3 : '$i'] : iii @ X3 @ (ordsucc @ X1) => lessis @ X3 @ X1))), 80.27/10.48 inference(rectify,[],[f230])). 80.27/10.48 tff(f623,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ iii) @ ordsucc))) @ (cCOMB @ lessis))) = $true)), 80.27/10.48 inference(fool_elimination,[],[f622])). 80.27/10.48 tff(f711,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc)))) @ (cCOMB @ moreis))) != $true)), 80.27/10.48 inference(flattening,[],[f280])). 80.27/10.48 tff(f720,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc)))) @ (cCOMB @ moreis))) != $true)), 80.27/10.48 inference(cnf_transformation,[],[f711])). 80.27/10.48 tff(f731,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) = $true)), 80.27/10.48 inference(cnf_transformation,[],[f621])). 80.27/10.48 tff(f732,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) @ iii)) = $true)), 80.27/10.48 inference(cnf_transformation,[],[f615])). 80.27/10.48 tff(f733,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) = $true)), 80.27/10.48 inference(cnf_transformation,[],[f609])). 80.27/10.48 tff(f736,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) = $true)), 80.27/10.48 inference(cnf_transformation,[],[f595])). 80.27/10.48 tff(f737,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii))) = $true)), 80.27/10.48 inference(cnf_transformation,[],[f593])). 80.27/10.48 tff(f751,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (iii @ n_1) @ ordsucc) = $true)), 80.27/10.48 inference(cnf_transformation,[],[f535])). 80.27/10.48 tff(f760,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) = $true)), 80.27/10.48 inference(cnf_transformation,[],[f619])). 80.27/10.48 tff(f764,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 80.27/10.48 inference(cnf_transformation,[],[f599])). 80.27/10.48 tff(f765,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) = $true)), 80.27/10.48 inference(cnf_transformation,[],[f597])). 80.27/10.48 tff(f787,plain,( 80.27/10.48 ordsucc @ emptyset = n_1), 80.27/10.48 inference(cnf_transformation,[],[f102])). 80.27/10.48 tff(f793,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ iii) @ ordsucc))) @ (cCOMB @ lessis))) = $true)), 80.27/10.48 inference(cnf_transformation,[],[f623])). 80.27/10.48 tff(f794,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (bCOMB @ (all_of @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc)))) = $true)), 80.27/10.48 inference(cnf_transformation,[],[f611])). 80.27/10.48 tff(f802,plain,( 80.27/10.48 is_of = cCOMB @ iCOMB), 80.27/10.48 inference(cnf_transformation,[],[f395])). 80.27/10.48 tff(f814,plain,( 80.27/10.48 (all_of @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ is_of @ ordsucc) @ (cCOMB @ in @ nat)) = $true)), 80.27/10.48 inference(cnf_transformation,[],[f559])). 80.27/10.48 tff(f815,plain,( 80.27/10.48 (is_of @ n_1 @ (cCOMB @ in @ nat) = $true)), 80.27/10.48 inference(cnf_transformation,[],[f529])). 80.27/10.48 tff(f820,plain,( 80.27/10.48 bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of), 80.27/10.48 inference(cnf_transformation,[],[f415])). 80.27/10.48 tff(f822,plain,( 80.27/10.48 bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) = all_of), 80.27/10.48 inference(definition_unfolding,[],[f820,f802])). 80.27/10.48 tff(f823,plain,( 80.27/10.48 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc)))) @ (cCOMB @ moreis))) != $true)), 80.27/10.48 inference(definition_unfolding,[],[f720,f822,f822])). 80.27/10.48 tff(f832,plain,( 80.27/10.48 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) = $true)), 80.27/10.48 inference(definition_unfolding,[],[f731,f822,f822])). 80.27/10.48 tff(f833,plain,( 80.27/10.48 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) @ iii)) = $true)), 80.27/10.48 inference(definition_unfolding,[],[f732,f822,f822])). 80.27/10.48 tff(f834,plain,( 80.27/10.48 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) = $true)), 80.27/10.48 inference(definition_unfolding,[],[f733,f822,f822])). 80.27/10.48 tff(f837,plain,( 80.27/10.48 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) = $true)), 80.27/10.48 inference(definition_unfolding,[],[f736,f822,f822])). 80.27/10.49 tff(f838,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii))) = $true)), 80.27/10.49 inference(definition_unfolding,[],[f737,f822,f822])). 80.27/10.49 tff(f852,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (iii @ (ordsucc @ emptyset)) @ ordsucc) = $true)), 80.27/10.49 inference(definition_unfolding,[],[f751,f822,f787])). 80.27/10.49 tff(f860,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) = $true)), 80.27/10.49 inference(definition_unfolding,[],[f760,f822,f822])). 80.27/10.49 tff(f864,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 80.27/10.49 inference(definition_unfolding,[],[f764,f822,f822])). 80.27/10.49 tff(f865,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) = $true)), 80.27/10.49 inference(definition_unfolding,[],[f765,f822,f822])). 80.27/10.49 tff(f892,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ iii) @ ordsucc))) @ (cCOMB @ lessis))) = $true)), 80.27/10.49 inference(definition_unfolding,[],[f793,f822,f822])). 80.27/10.49 tff(f893,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc)))) = $true)), 80.27/10.49 inference(definition_unfolding,[],[f794,f822,f822])). 80.27/10.49 tff(f905,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ (cCOMB @ iCOMB) @ ordsucc) @ (cCOMB @ in @ nat)) = $true)), 80.27/10.49 inference(definition_unfolding,[],[f814,f822,f802])). 80.27/10.49 tff(f906,plain,( 80.27/10.49 (cCOMB @ iCOMB @ (ordsucc @ emptyset) @ (cCOMB @ in @ nat) = $true)), 80.27/10.49 inference(definition_unfolding,[],[f815,f802,f787])). 80.27/10.49 tff(f1026,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) = $true)), 80.27/10.49 inference(combinator_normalisation,[],[f832])). 80.27/10.49 tff(f1027,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) = $true)), 80.27/10.49 inference(combinator_normalisation,[],[f1026])). 80.27/10.49 tff(f1028,plain,( 80.27/10.49 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis))) = $true)), 80.27/10.49 inference(combinator_demodulation,[],[f1027])). 80.27/10.49 tff(f1029,plain,( 80.27/10.49 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ moreis)) @ X1 = $true)) )), 80.27/10.49 inference(pi_clausification,[],[f1028])). 80.27/10.49 tff(f1030,plain,( 80.27/10.49 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (iii @ X1))) @ (moreis @ X1)))) = $true)) )), 80.27/10.49 inference(combinator_demodulation,[],[f1029])). 80.27/10.49 tff(f1031,plain,( 80.27/10.49 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (iii @ X1))) @ (moreis @ X1))) = $true)) )), 80.27/10.49 inference(binary_proxy_clausification,[],[f1030])). 80.27/10.49 tff(f1032,plain,( 80.27/10.49 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (iii @ X1))) @ (moreis @ X1)) @ X2 = $true)) )), 80.27/10.49 inference(pi_clausification,[],[f1031])). 80.27/10.49 tff(f1033,plain,( 80.27/10.49 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (d_not @ (iii @ X1 @ X2)) @ (moreis @ X1 @ X2)) = $true)) )), 80.27/10.49 inference(combinator_demodulation,[],[f1032])). 80.27/10.49 tff(f1034,plain,( 80.27/10.49 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (d_not @ (iii @ X1 @ X2)) @ (moreis @ X1 @ X2) = $true)) )), 80.27/10.49 inference(binary_proxy_clausification,[],[f1033])). 80.27/10.49 tff(f1035,plain,( 80.27/10.49 ( ! [X2,X1] : ((d_not @ (iii @ X1 @ X2) = $false) | (in @ X2 @ nat = $false) | (in @ X1 @ nat = $false) | (moreis @ X1 @ X2 = $true)) )), 80.27/10.49 inference(binary_proxy_clausification,[],[f1034])). 80.27/10.49 tff(f1036,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) @ iii)) = $true)), 80.27/10.49 inference(combinator_normalisation,[],[f833])). 80.27/10.49 tff(f1037,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) @ iii)) = $true)), 80.27/10.49 inference(combinator_normalisation,[],[f1036])). 80.27/10.49 tff(f1038,plain,( 80.27/10.49 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) @ iii))) = $true)), 80.27/10.49 inference(combinator_demodulation,[],[f1037])). 80.27/10.49 tff(f1039,plain,( 80.27/10.49 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) @ iii)) @ X1 = $true)) )), 80.27/10.49 inference(pi_clausification,[],[f1038])). 80.27/10.49 tff(f1040,plain,( 80.27/10.49 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (moreis @ X1))) @ (iii @ X1)))) = $true)) )), 80.27/10.49 inference(combinator_demodulation,[],[f1039])). 80.27/10.49 tff(f1041,plain,( 80.27/10.49 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (moreis @ X1))) @ (iii @ X1))) = $true)) )), 80.27/10.49 inference(binary_proxy_clausification,[],[f1040])). 80.27/10.49 tff(f1042,plain,( 80.27/10.49 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (moreis @ X1))) @ (iii @ X1)) @ X2 = $true)) )), 80.27/10.49 inference(pi_clausification,[],[f1041])). 80.27/10.49 tff(f1043,plain,( 80.27/10.49 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (d_not @ (moreis @ X1 @ X2)) @ (iii @ X1 @ X2)) = $true)) )), 80.27/10.49 inference(combinator_demodulation,[],[f1042])). 80.27/10.49 tff(f1044,plain,( 80.27/10.49 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (d_not @ (moreis @ X1 @ X2)) @ (iii @ X1 @ X2) = $true)) )), 80.27/10.49 inference(binary_proxy_clausification,[],[f1043])). 80.27/10.49 tff(f1045,plain,( 80.27/10.49 ( ! [X2,X1] : ((d_not @ (moreis @ X1 @ X2) = $false) | (in @ X2 @ nat = $false) | (in @ X1 @ nat = $false) | (iii @ X1 @ X2 = $true)) )), 80.27/10.49 inference(binary_proxy_clausification,[],[f1044])). 80.27/10.49 tff(f1046,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) = $true)), 80.27/10.49 inference(combinator_normalisation,[],[f834])). 80.27/10.49 tff(f1047,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) = $true)), 80.27/10.49 inference(combinator_normalisation,[],[f1046])). 80.27/10.49 tff(f1048,plain,( 80.27/10.49 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (bCOMB @ (bCOMB @ d_not) @ moreis)))) = $true)), 80.27/10.49 inference(combinator_demodulation,[],[f1047])). 80.27/10.49 tff(f1049,plain,( 80.27/10.49 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iii)) @ (bCOMB @ (bCOMB @ d_not) @ moreis))) @ X1 = $true)) )), 80.27/10.49 inference(pi_clausification,[],[f1048])). 80.27/10.49 tff(f1050,plain,( 80.27/10.49 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (iii @ X1)) @ (bCOMB @ d_not @ (moreis @ X1))))) = $true)) )), 80.27/10.49 inference(combinator_demodulation,[],[f1049])). 80.27/10.49 tff(f1051,plain,( 80.27/10.49 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (iii @ X1)) @ (bCOMB @ d_not @ (moreis @ X1)))) = $true)) )), 80.27/10.49 inference(binary_proxy_clausification,[],[f1050])). 80.27/10.49 tff(f1052,plain,( 80.27/10.49 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (iii @ X1)) @ (bCOMB @ d_not @ (moreis @ X1))) @ X2 = $true)) )), 80.27/10.49 inference(pi_clausification,[],[f1051])). 80.27/10.49 tff(f1053,plain,( 80.27/10.49 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (iii @ X1 @ X2) @ (d_not @ (moreis @ X1 @ X2))) = $true)) )), 80.27/10.49 inference(combinator_demodulation,[],[f1052])). 80.27/10.49 tff(f1054,plain,( 80.27/10.49 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (iii @ X1 @ X2) @ (d_not @ (moreis @ X1 @ X2)) = $true)) )), 80.27/10.49 inference(binary_proxy_clausification,[],[f1053])). 80.27/10.49 tff(f1055,plain,( 80.27/10.49 ( ! [X2,X1] : ((iii @ X1 @ X2 = $false) | (in @ X2 @ nat = $false) | (in @ X1 @ nat = $false) | (d_not @ (moreis @ X1 @ X2) = $true)) )), 80.27/10.49 inference(binary_proxy_clausification,[],[f1054])). 80.27/10.49 tff(f1076,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) = $true)), 80.27/10.49 inference(combinator_normalisation,[],[f837])). 80.27/10.49 tff(f1077,plain,( 80.27/10.49 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) = $true)), 80.27/10.49 inference(combinator_normalisation,[],[f1076])). 80.27/10.50 tff(f1078,plain,( 80.27/10.50 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis)))) = $true)), 80.27/10.50 inference(combinator_demodulation,[],[f1077])). 80.27/10.50 tff(f1079,plain,( 80.27/10.50 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (cCOMB @ moreis))) @ X1 = $true)) )), 80.27/10.50 inference(pi_clausification,[],[f1078])). 80.27/10.50 tff(f1080,plain,( 80.27/10.50 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (lessis @ X1)) @ (cCOMB @ moreis @ X1)))) = $true)) )), 80.27/10.50 inference(combinator_demodulation,[],[f1079])). 80.27/10.50 tff(f1081,plain,( 80.27/10.50 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (lessis @ X1)) @ (cCOMB @ moreis @ X1))) = $true)) )), 80.27/10.50 inference(binary_proxy_clausification,[],[f1080])). 80.27/10.50 tff(f1082,plain,( 80.27/10.50 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (lessis @ X1)) @ (cCOMB @ moreis @ X1)) @ X2 = $true)) )), 80.27/10.50 inference(pi_clausification,[],[f1081])). 80.27/10.50 tff(f1083,plain,( 80.27/10.50 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (lessis @ X1 @ X2) @ (moreis @ X2 @ X1)) = $true)) )), 80.27/10.50 inference(combinator_demodulation,[],[f1082])). 80.27/10.50 tff(f1084,plain,( 80.27/10.50 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (lessis @ X1 @ X2) @ (moreis @ X2 @ X1) = $true)) )), 80.27/10.50 inference(binary_proxy_clausification,[],[f1083])). 80.27/10.50 tff(f1085,plain,( 80.27/10.50 ( ! [X2,X1] : ((lessis @ X1 @ X2 = $false) | (in @ X2 @ nat = $false) | (in @ X1 @ nat = $false) | (moreis @ X2 @ X1 = $true)) )), 80.27/10.50 inference(binary_proxy_clausification,[],[f1084])). 80.27/10.50 tff(f1086,plain,( 80.27/10.50 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii))) = $true)), 80.27/10.50 inference(combinator_normalisation,[],[f838])). 80.27/10.50 tff(f1087,plain,( 80.27/10.50 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii))) = $true)), 80.27/10.50 inference(combinator_normalisation,[],[f1086])). 80.27/10.50 tff(f1088,plain,( 80.27/10.50 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii)))) = $true)), 80.27/10.50 inference(combinator_demodulation,[],[f1087])). 80.27/10.50 tff(f1089,plain,( 80.27/10.50 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ moreis)) @ (bCOMB @ (bCOMB @ d_not) @ iii))) @ X1 = $true)) )), 80.27/10.50 inference(pi_clausification,[],[f1088])). 80.27/10.50 tff(f1090,plain,( 80.27/10.50 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (moreis @ X1)) @ (bCOMB @ d_not @ (iii @ X1))))) = $true)) )), 80.27/10.50 inference(combinator_demodulation,[],[f1089])). 80.27/10.50 tff(f1091,plain,( 80.27/10.50 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (moreis @ X1)) @ (bCOMB @ d_not @ (iii @ X1)))) = $true)) )), 80.27/10.50 inference(binary_proxy_clausification,[],[f1090])). 80.27/10.50 tff(f1092,plain,( 80.27/10.50 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (moreis @ X1)) @ (bCOMB @ d_not @ (iii @ X1))) @ X2 = $true)) )), 80.27/10.50 inference(pi_clausification,[],[f1091])). 80.27/10.50 tff(f1093,plain,( 80.27/10.50 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (moreis @ X1 @ X2) @ (d_not @ (iii @ X1 @ X2))) = $true)) )), 80.27/10.50 inference(combinator_demodulation,[],[f1092])). 80.27/10.50 tff(f1094,plain,( 80.27/10.50 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (moreis @ X1 @ X2) @ (d_not @ (iii @ X1 @ X2)) = $true)) )), 80.27/10.50 inference(binary_proxy_clausification,[],[f1093])). 80.27/10.50 tff(f1095,plain,( 80.27/10.50 ( ! [X2,X1] : ((d_not @ (iii @ X1 @ X2) = $true) | (in @ X2 @ nat = $false) | (moreis @ X1 @ X2 = $false) | (in @ X1 @ nat = $false)) )), 80.27/10.50 inference(binary_proxy_clausification,[],[f1094])). 80.27/10.50 tff(f1194,plain,( 80.27/10.50 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (iii @ (ordsucc @ emptyset)) @ ordsucc) = $true)), 80.27/10.50 inference(combinator_normalisation,[],[f852])). 80.27/10.50 tff(f1195,plain,( 80.27/10.50 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (iii @ (ordsucc @ emptyset)) @ ordsucc) = $true)), 80.27/10.50 inference(combinator_normalisation,[],[f1194])). 80.27/10.50 tff(f1196,plain,( 80.27/10.50 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (iii @ (ordsucc @ emptyset)) @ ordsucc)) = $true)), 80.27/10.50 inference(combinator_demodulation,[],[f1195])). 80.27/10.50 tff(f1197,plain,( 80.27/10.50 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (iii @ (ordsucc @ emptyset)) @ ordsucc) @ X1 = $true)) )), 80.27/10.50 inference(pi_clausification,[],[f1196])). 80.27/10.50 tff(f1198,plain,( 80.27/10.50 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (iii @ (ordsucc @ emptyset) @ (ordsucc @ X1)) = $true)) )), 80.27/10.50 inference(combinator_demodulation,[],[f1197])). 80.27/10.50 tff(f1199,plain,( 80.27/10.50 ( ! [X1] : ((iii @ (ordsucc @ emptyset) @ (ordsucc @ X1) = $true) | (in @ X1 @ nat = $false)) )), 80.27/10.50 inference(binary_proxy_clausification,[],[f1198])). 80.27/10.50 tff(f1303,plain,( 80.27/10.50 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) = $true)), 80.27/10.50 inference(combinator_normalisation,[],[f860])). 80.27/10.50 tff(f1304,plain,( 80.27/10.50 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) = $true)), 80.27/10.50 inference(combinator_normalisation,[],[f1303])). 80.27/10.50 tff(f1305,plain,( 80.27/10.50 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis))) = $true)), 80.27/10.50 inference(combinator_demodulation,[],[f1304])). 80.27/10.50 tff(f1306,plain,( 80.27/10.50 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ lessis)) @ X1 = $true)) )), 80.27/10.50 inference(pi_clausification,[],[f1305])). 80.27/10.50 tff(f1307,plain,( 80.27/10.50 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (d_29_ii @ X1))) @ (lessis @ X1)))) = $true)) )), 80.27/10.50 inference(combinator_demodulation,[],[f1306])). 80.27/10.50 tff(f1308,plain,( 80.27/10.50 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (d_29_ii @ X1))) @ (lessis @ X1))) = $true)) )), 80.27/10.50 inference(binary_proxy_clausification,[],[f1307])). 80.27/10.50 tff(f1309,plain,( 80.27/10.50 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (bCOMB @ d_not @ (d_29_ii @ X1))) @ (lessis @ X1)) @ X2 = $true)) )), 80.27/10.50 inference(pi_clausification,[],[f1308])). 80.27/10.50 tff(f1310,plain,( 80.27/10.50 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (d_not @ (d_29_ii @ X1 @ X2)) @ (lessis @ X1 @ X2)) = $true)) )), 80.27/10.50 inference(combinator_demodulation,[],[f1309])). 80.27/10.50 tff(f1311,plain,( 80.27/10.50 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (d_not @ (d_29_ii @ X1 @ X2)) @ (lessis @ X1 @ X2) = $true)) )), 80.27/10.50 inference(binary_proxy_clausification,[],[f1310])). 80.27/10.50 tff(f1312,plain,( 80.27/10.50 ( ! [X2,X1] : ((lessis @ X1 @ X2 = $true) | (in @ X2 @ nat = $false) | (d_not @ (d_29_ii @ X1 @ X2) = $false) | (in @ X1 @ nat = $false)) )), 80.27/10.50 inference(binary_proxy_clausification,[],[f1311])). 80.27/10.51 tff(f1343,plain,( 80.27/10.51 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 80.27/10.51 inference(combinator_normalisation,[],[f864])). 80.27/10.51 tff(f1344,plain,( 80.27/10.51 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) = $true)), 80.27/10.51 inference(combinator_normalisation,[],[f1343])). 80.27/10.51 tff(f1345,plain,( 80.27/10.51 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii)))) = $true)), 80.27/10.51 inference(combinator_demodulation,[],[f1344])). 80.27/10.51 tff(f1346,plain,( 80.27/10.51 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ d_29_ii)) @ (cCOMB @ iii))) @ X1 = $true)) )), 80.27/10.51 inference(pi_clausification,[],[f1345])). 80.27/10.51 tff(f1347,plain,( 80.27/10.51 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1)) @ (cCOMB @ iii @ X1)))) = $true)) )), 80.27/10.51 inference(combinator_demodulation,[],[f1346])). 80.27/10.51 tff(f1348,plain,( 80.27/10.51 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1)) @ (cCOMB @ iii @ X1))) = $true)) )), 80.27/10.51 inference(binary_proxy_clausification,[],[f1347])). 80.27/10.51 tff(f1349,plain,( 80.27/10.51 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (d_29_ii @ X1)) @ (cCOMB @ iii @ X1)) @ X2 = $true)) )), 80.27/10.51 inference(pi_clausification,[],[f1348])). 80.27/10.51 tff(f1350,plain,( 80.27/10.51 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (d_29_ii @ X1 @ X2) @ (iii @ X2 @ X1)) = $true)) )), 80.27/10.51 inference(combinator_demodulation,[],[f1349])). 80.27/10.51 tff(f1351,plain,( 80.27/10.51 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (d_29_ii @ X1 @ X2) @ (iii @ X2 @ X1) = $true)) )), 80.27/10.51 inference(binary_proxy_clausification,[],[f1350])). 80.27/10.51 tff(f1352,plain,( 80.27/10.51 ( ! [X2,X1] : ((iii @ X2 @ X1 = $true) | (in @ X2 @ nat = $false) | (d_29_ii @ X1 @ X2 = $false) | (in @ X1 @ nat = $false)) )), 80.27/10.51 inference(binary_proxy_clausification,[],[f1351])). 80.27/10.51 tff(f1353,plain,( 80.27/10.51 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) = $true)), 80.27/10.51 inference(combinator_normalisation,[],[f865])). 80.27/10.51 tff(f1354,plain,( 80.27/10.51 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) = $true)), 80.27/10.51 inference(combinator_normalisation,[],[f1353])). 80.27/10.51 tff(f1355,plain,( 80.27/10.51 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii)))) = $true)), 80.27/10.51 inference(combinator_demodulation,[],[f1354])). 80.27/10.51 tff(f1356,plain,( 80.27/10.51 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ lessis)) @ (bCOMB @ (bCOMB @ d_not) @ d_29_ii))) @ X1 = $true)) )), 80.27/10.51 inference(pi_clausification,[],[f1355])). 80.27/10.51 tff(f1357,plain,( 80.27/10.51 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (lessis @ X1)) @ (bCOMB @ d_not @ (d_29_ii @ X1))))) = $true)) )), 80.27/10.51 inference(combinator_demodulation,[],[f1356])). 80.27/10.51 tff(f1358,plain,( 80.27/10.51 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (lessis @ X1)) @ (bCOMB @ d_not @ (d_29_ii @ X1)))) = $true)) )), 80.27/10.51 inference(binary_proxy_clausification,[],[f1357])). 80.27/10.51 tff(f1359,plain,( 80.27/10.51 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (lessis @ X1)) @ (bCOMB @ d_not @ (d_29_ii @ X1))) @ X2 = $true)) )), 80.27/10.51 inference(pi_clausification,[],[f1358])). 80.27/10.51 tff(f1360,plain,( 80.27/10.51 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (lessis @ X1 @ X2) @ (d_not @ (d_29_ii @ X1 @ X2))) = $true)) )), 80.27/10.51 inference(combinator_demodulation,[],[f1359])). 80.27/10.51 tff(f1361,plain,( 80.27/10.51 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (lessis @ X1 @ X2) @ (d_not @ (d_29_ii @ X1 @ X2)) = $true)) )), 80.27/10.51 inference(binary_proxy_clausification,[],[f1360])). 80.27/10.51 tff(f1362,plain,( 80.27/10.51 ( ! [X2,X1] : ((d_not @ (d_29_ii @ X1 @ X2) = $true) | (in @ X2 @ nat = $false) | (lessis @ X1 @ X2 = $false) | (in @ X1 @ nat = $false)) )), 80.27/10.51 inference(binary_proxy_clausification,[],[f1361])). 80.27/10.51 tff(f1684,plain,( 80.27/10.51 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ iii) @ ordsucc))) @ (cCOMB @ lessis))) = $true)), 80.27/10.51 inference(combinator_normalisation,[],[f892])). 80.27/10.51 tff(f1685,plain,( 80.27/10.51 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ iii) @ ordsucc))) @ (cCOMB @ lessis))) = $true)), 80.27/10.51 inference(combinator_normalisation,[],[f1684])). 80.27/10.51 tff(f1686,plain,( 80.27/10.51 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ iii) @ ordsucc))) @ (cCOMB @ lessis)))) = $true)), 80.27/10.51 inference(combinator_demodulation,[],[f1685])). 80.27/10.51 tff(f1687,plain,( 80.27/10.51 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (bCOMB @ (cCOMB @ iii) @ ordsucc))) @ (cCOMB @ lessis))) @ X1 = $true)) )), 80.27/10.51 inference(pi_clausification,[],[f1686])). 80.27/10.51 tff(f1688,plain,( 80.27/10.51 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iii @ (ordsucc @ X1))) @ (cCOMB @ lessis @ X1)))) = $true)) )), 80.27/10.51 inference(combinator_demodulation,[],[f1687])). 80.27/10.51 tff(f1689,plain,( 80.27/10.51 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iii @ (ordsucc @ X1))) @ (cCOMB @ lessis @ X1))) = $true)) )), 80.27/10.51 inference(binary_proxy_clausification,[],[f1688])). 80.27/10.51 tff(f1690,plain,( 80.27/10.51 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iii @ (ordsucc @ X1))) @ (cCOMB @ lessis @ X1)) @ X2 = $true)) )), 80.27/10.51 inference(pi_clausification,[],[f1689])). 80.27/10.51 tff(f1691,plain,( 80.27/10.51 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (iii @ X2 @ (ordsucc @ X1)) @ (lessis @ X2 @ X1)) = $true)) )), 80.27/10.51 inference(combinator_demodulation,[],[f1690])). 80.27/10.51 tff(f1692,plain,( 80.27/10.51 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (iii @ X2 @ (ordsucc @ X1)) @ (lessis @ X2 @ X1) = $true)) )), 80.27/10.51 inference(binary_proxy_clausification,[],[f1691])). 80.27/10.51 tff(f1693,plain,( 80.27/10.51 ( ! [X2,X1] : ((iii @ X2 @ (ordsucc @ X1) = $false) | (in @ X2 @ nat = $false) | (in @ X1 @ nat = $false) | (lessis @ X2 @ X1 = $true)) )), 80.27/10.51 inference(binary_proxy_clausification,[],[f1692])). 80.27/10.51 tff(f1694,plain,( 80.27/10.51 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc)))) = $true)), 80.27/10.51 inference(combinator_normalisation,[],[f893])). 80.27/10.51 tff(f1695,plain,( 80.27/10.51 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc)))) = $true)), 80.27/10.51 inference(combinator_normalisation,[],[f1694])). 80.27/10.51 tff(f1696,plain,( 80.27/10.51 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc))))) = $true)), 80.27/10.51 inference(combinator_demodulation,[],[f1695])). 80.27/10.51 tff(f1697,plain,( 80.27/10.51 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iii))) @ (cCOMB @ (bCOMB @ lessis @ ordsucc)))) @ X1 = $true)) )), 80.27/10.51 inference(pi_clausification,[],[f1696])). 80.27/10.51 tff(f1698,plain,( 80.27/10.51 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iii @ X1)) @ (cCOMB @ (bCOMB @ lessis @ ordsucc) @ X1)))) = $true)) )), 80.27/10.51 inference(combinator_demodulation,[],[f1697])). 80.27/10.51 tff(f1699,plain,( 80.27/10.51 ( ! [X1] : ((in @ X1 @ nat = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iii @ X1)) @ (cCOMB @ (bCOMB @ lessis @ ordsucc) @ X1))) = $true)) )), 80.27/10.51 inference(binary_proxy_clausification,[],[f1698])). 80.27/10.51 tff(f1700,plain,( 80.27/10.51 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iii @ X1)) @ (cCOMB @ (bCOMB @ lessis @ ordsucc) @ X1)) @ X2 = $true)) )), 80.27/10.51 inference(pi_clausification,[],[f1699])). 80.27/10.51 tff(f1701,plain,( 80.27/10.51 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (vIMP @ (in @ X2 @ nat) @ (vIMP @ (iii @ X2 @ X1) @ (lessis @ (ordsucc @ X2) @ X1)) = $true)) )), 80.27/10.51 inference(combinator_demodulation,[],[f1700])). 80.27/10.51 tff(f1702,plain,( 80.27/10.51 ( ! [X2,X1] : ((in @ X1 @ nat = $false) | (in @ X2 @ nat = $false) | (vIMP @ (iii @ X2 @ X1) @ (lessis @ (ordsucc @ X2) @ X1) = $true)) )), 80.27/10.51 inference(binary_proxy_clausification,[],[f1701])). 80.27/10.51 tff(f1703,plain,( 80.27/10.51 ( ! [X2,X1] : ((lessis @ (ordsucc @ X2) @ X1 = $true) | (in @ X2 @ nat = $false) | (iii @ X2 @ X1 = $false) | (in @ X1 @ nat = $false)) )), 80.27/10.51 inference(binary_proxy_clausification,[],[f1702])). 80.27/10.51 tff(f1823,plain,( 80.27/10.51 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ (cCOMB @ iCOMB) @ ordsucc) @ (cCOMB @ in @ nat)) = $true)), 80.27/10.51 inference(combinator_normalisation,[],[f905])). 80.27/10.51 tff(f1824,plain,( 80.27/10.51 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (cCOMB @ (bCOMB @ (cCOMB @ iCOMB) @ ordsucc) @ (cCOMB @ in @ nat)) = $true)), 80.27/10.51 inference(combinator_normalisation,[],[f1823])). 80.27/10.51 tff(f1825,plain,( 80.27/10.51 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (cCOMB @ (bCOMB @ (cCOMB @ iCOMB) @ ordsucc) @ (cCOMB @ in @ nat))) = $true)), 80.27/10.51 inference(combinator_demodulation,[],[f1824])). 80.27/10.51 tff(f1826,plain,( 80.27/10.51 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (cCOMB @ (bCOMB @ (cCOMB @ iCOMB) @ ordsucc) @ (cCOMB @ in @ nat)) @ X1 = $true)) )), 80.27/10.51 inference(pi_clausification,[],[f1825])). 80.27/10.51 tff(f1827,plain,( 80.27/10.51 ( ! [X1] : ((vIMP @ (in @ X1 @ nat) @ (in @ (ordsucc @ X1) @ nat) = $true)) )), 80.27/10.51 inference(combinator_demodulation,[],[f1826])). 80.27/10.51 tff(f1828,plain,( 80.27/10.51 ( ! [X1] : ((in @ (ordsucc @ X1) @ nat = $true) | (in @ X1 @ nat = $false)) )), 80.27/10.51 inference(binary_proxy_clausification,[],[f1827])). 80.27/10.51 tff(f1829,plain,( 80.27/10.51 (in @ (ordsucc @ emptyset) @ nat = $true)), 80.27/10.51 inference(combinator_demodulation,[],[f906])). 80.27/10.51 tff(f1847,plain,( 80.27/10.51 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc)))) @ (cCOMB @ moreis))) != $true)), 80.27/10.51 inference(combinator_normalisation,[],[f823])). 80.27/10.51 tff(f1848,plain,( 80.27/10.51 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc)))) @ (cCOMB @ moreis))) != $true)), 80.27/10.51 inference(combinator_normalisation,[],[f1847])). 80.27/10.51 tff(f1849,plain,( 80.27/10.51 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc)))) @ (cCOMB @ moreis)))) != $true)), 80.27/10.51 inference(combinator_demodulation,[],[f1848])). 80.27/10.51 tff(f1850,plain,( 80.27/10.51 (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc)))) @ (cCOMB @ moreis))) @ sK2 = $false)), 80.27/10.51 inference(sigma_clausification,[],[f1849])). 80.27/10.51 tff(f1851,plain,( 80.27/10.51 (vIMP @ (in @ sK2 @ nat) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc) @ sK2)) @ (cCOMB @ moreis @ sK2)))) = $false)), 80.27/10.51 inference(combinator_demodulation,[],[f1850])). 80.27/10.51 tff(f1852,plain,( 80.27/10.51 (in @ sK2 @ nat = $true)), 80.27/10.51 inference(binary_proxy_clausification,[],[f1851])). 80.27/10.51 tff(f1853,plain,( 80.27/10.51 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc) @ sK2)) @ (cCOMB @ moreis @ sK2))) = $false)), 80.27/10.51 inference(binary_proxy_clausification,[],[f1851])). 80.27/10.51 tff(f1854,plain,( 80.27/10.51 (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ nat)) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ d_29_ii @ ordsucc) @ sK2)) @ (cCOMB @ moreis @ sK2)) @ sK3 = $false)), 80.27/10.51 inference(sigma_clausification,[],[f1853])). 80.27/10.51 tff(f1855,plain,( 80.27/10.51 (vIMP @ (in @ sK3 @ nat) @ (vIMP @ (d_29_ii @ (ordsucc @ sK3) @ sK2) @ (moreis @ sK3 @ sK2)) = $false)), 80.27/10.51 inference(combinator_demodulation,[],[f1854])). 80.27/10.51 tff(f1856,plain,( 80.27/10.51 (in @ sK3 @ nat = $true)), 80.27/10.51 inference(binary_proxy_clausification,[],[f1855])). 80.27/10.51 tff(f1857,plain,( 80.27/10.51 (vIMP @ (d_29_ii @ (ordsucc @ sK3) @ sK2) @ (moreis @ sK3 @ sK2) = $false)), 80.27/10.51 inference(binary_proxy_clausification,[],[f1855])). 80.27/10.51 tff(f1858,plain,( 80.27/10.51 (d_29_ii @ (ordsucc @ sK3) @ sK2 = $true)), 80.27/10.51 inference(binary_proxy_clausification,[],[f1857])). 80.27/10.51 tff(f1859,plain,( 80.27/10.51 (moreis @ sK3 @ sK2 = $false)), 80.27/10.51 inference(binary_proxy_clausification,[],[f1857])). 80.27/10.51 tff(f1976,plain,( 80.27/10.51 (d_not @ $false = $false) | (in @ sK2 @ nat = $false) | (in @ sK3 @ nat = $false) | (iii @ sK3 @ sK2 = $true)), 80.27/10.51 inference(superposition,[],[f1045,f1859])). 80.27/10.51 tff(f1977,plain,( 80.27/10.51 ($false = $true) | (d_not @ $false = $false) | (in @ sK3 @ nat = $false) | (iii @ sK3 @ sK2 = $true)), 80.27/10.51 inference(forward_demodulation,[],[f1976,f1852])). 80.27/10.51 tff(f1978,plain,( 80.27/10.51 (d_not @ $false = $false) | (in @ sK3 @ nat = $false) | (iii @ sK3 @ sK2 = $true)), 80.27/10.51 inference(trivial_inequality_removal,[],[f1977])). 80.27/10.51 tff(f1979,plain,( 80.27/10.51 ($false = $true) | (d_not @ $false = $false) | (iii @ sK3 @ sK2 = $true)), 80.27/10.51 inference(forward_demodulation,[],[f1978,f1856])). 80.27/10.51 tff(f1980,plain,( 80.27/10.51 (d_not @ $false = $false) | (iii @ sK3 @ sK2 = $true)), 80.27/10.51 inference(trivial_inequality_removal,[],[f1979])). 80.27/10.51 tff(f1983,plain,( 80.27/10.51 (d_not @ $true = $true) | (in @ sK2 @ nat = $false) | (lessis @ (ordsucc @ sK3) @ sK2 = $false) | (in @ (ordsucc @ sK3) @ nat = $false)), 80.27/10.51 inference(superposition,[],[f1362,f1858])). 80.27/10.51 tff(f1989,plain,( 80.27/10.51 ($false = $true) | (d_not @ $true = $true) | (lessis @ (ordsucc @ sK3) @ sK2 = $false) | (in @ (ordsucc @ sK3) @ nat = $false)), 80.27/10.51 inference(forward_demodulation,[],[f1983,f1852])). 80.27/10.51 tff(f1990,plain,( 80.27/10.51 (d_not @ $true = $true) | (lessis @ (ordsucc @ sK3) @ sK2 = $false) | (in @ (ordsucc @ sK3) @ nat = $false)), 80.27/10.51 inference(trivial_inequality_removal,[],[f1989])). 80.27/10.51 tff(f1992,plain,( 80.27/10.51 spl1_1 <=> (iii @ sK3 @ sK2 != $true)), 80.27/10.51 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])). 80.27/10.51 tff(f1993,plain,( 80.27/10.51 (iii @ sK3 @ sK2 != $true) | ~spl1_1), 80.27/10.51 inference(avatar_component_clause,[],[f1992])). 80.27/10.51 tff(f1995,plain,( 80.27/10.51 spl1_0 <=> (iii @ sK3 @ sK2 = $true)), 80.27/10.51 introduced(avatar_definition,[new_symbols(naming,[spl1_0])])). 80.27/10.51 tff(f1996,plain,( 80.27/10.51 (iii @ sK3 @ sK2 = $true) | ~spl1_0), 80.27/10.51 inference(avatar_component_clause,[],[f1995])). 80.27/10.51 tff(f2001,plain,( 80.27/10.51 spl1_2 <=> (d_not @ $false = $false)), 80.27/10.51 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])). 80.27/10.51 tff(f2002,plain,( 80.27/10.51 (d_not @ $false = $false) | ~spl1_2), 80.27/10.51 inference(avatar_component_clause,[],[f2001])). 80.27/10.51 tff(f2003,plain,( 80.27/10.51 spl1_0 | spl1_2), 80.27/10.51 inference(avatar_split_clause,[],[f1980,f2001,f1995])). 80.27/10.51 tff(f2005,plain,( 80.27/10.51 spl1_5 <=> (in @ (ordsucc @ sK3) @ nat != $false)), 80.27/10.51 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])). 80.27/10.51 tff(f2006,plain,( 80.27/10.51 (in @ (ordsucc @ sK3) @ nat != $false) | ~spl1_5), 80.27/10.51 inference(avatar_component_clause,[],[f2005])). 80.27/10.51 tff(f2008,plain,( 80.27/10.51 spl1_4 <=> (in @ (ordsucc @ sK3) @ nat = $false)), 80.27/10.51 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])). 80.27/10.51 tff(f2009,plain,( 80.27/10.51 (in @ (ordsucc @ sK3) @ nat = $false) | ~spl1_4), 80.27/10.51 inference(avatar_component_clause,[],[f2008])). 80.27/10.51 tff(f2011,plain,( 80.27/10.51 spl1_7 <=> (lessis @ (ordsucc @ sK3) @ sK2 != $false)), 80.27/10.51 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])). 80.27/10.51 tff(f2012,plain,( 80.27/10.51 (lessis @ (ordsucc @ sK3) @ sK2 != $false) | ~spl1_7), 80.27/10.51 inference(avatar_component_clause,[],[f2011])). 80.27/10.51 tff(f2014,plain,( 80.27/10.51 spl1_6 <=> (lessis @ (ordsucc @ sK3) @ sK2 = $false)), 80.27/10.51 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])). 80.27/10.51 tff(f2015,plain,( 80.27/10.51 (lessis @ (ordsucc @ sK3) @ sK2 = $false) | ~spl1_6), 80.27/10.51 inference(avatar_component_clause,[],[f2014])). 80.27/10.51 tff(f2020,plain,( 80.27/10.51 spl1_8 <=> (d_not @ $true = $true)), 80.27/10.51 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])). 80.27/10.51 tff(f2021,plain,( 80.27/10.51 (d_not @ $true = $true) | ~spl1_8), 80.27/10.51 inference(avatar_component_clause,[],[f2020])). 80.27/10.51 tff(f2022,plain,( 80.27/10.51 spl1_4 | spl1_6 | spl1_8), 80.27/10.51 inference(avatar_split_clause,[],[f1990,f2020,f2014,f2008])). 80.27/10.51 tff(f2037,plain,( 80.27/10.51 ($false = $true) | (in @ sK3 @ nat = $false) | ~spl1_4), 80.27/10.51 inference(superposition,[],[f2009,f1828])). 80.27/10.51 tff(f2040,plain,( 80.27/10.51 (in @ sK3 @ nat = $false) | ~spl1_4), 80.27/10.51 inference(trivial_inequality_removal,[],[f2037])). 80.27/10.51 tff(f2041,plain,( 80.27/10.51 ($false = $true) | ~spl1_4), 80.27/10.51 inference(backward_demodulation,[],[f2040,f1856])). 80.27/10.51 tff(f2042,plain,( 80.27/10.51 $false | ~spl1_4), 80.27/10.51 inference(trivial_inequality_removal,[],[f2041])). 80.27/10.51 tff(f2043,plain,( 80.27/10.51 ~spl1_4), 80.27/10.51 inference(avatar_contradiction_clause,[],[f2042])). 80.27/10.51 tff(f2118,plain,( 80.27/10.51 (iii @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3)) = $true) | ~spl1_5), 80.27/10.51 inference(unit_resulting_resolution,[],[f2006,f1199])). 80.27/10.51 tff(f2134,plain,( 80.27/10.51 (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $true) | ~spl1_5), 80.27/10.51 inference(unit_resulting_resolution,[],[f2006,f1828])). 80.27/10.51 tff(f2167,plain,( 80.27/10.51 ($false = $true) | (in @ sK3 @ nat = $false) | (iii @ sK3 @ sK2 = $false) | (in @ sK2 @ nat = $false) | ~spl1_6), 80.27/10.51 inference(superposition,[],[f2015,f1703])). 80.27/10.51 tff(f2169,plain,( 80.27/10.51 ($false = $true) | (in @ sK2 @ nat = $false) | (d_not @ (d_29_ii @ (ordsucc @ sK3) @ sK2) = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | ~spl1_6), 80.27/10.51 inference(superposition,[],[f2015,f1312])). 80.27/10.52 tff(f2182,plain,( 80.27/10.52 (in @ sK2 @ nat = $false) | (d_not @ (d_29_ii @ (ordsucc @ sK3) @ sK2) = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | ~spl1_6), 80.27/10.52 inference(trivial_inequality_removal,[],[f2169])). 80.27/10.52 tff(f2184,plain,( 80.27/10.52 (in @ sK3 @ nat = $false) | (iii @ sK3 @ sK2 = $false) | (in @ sK2 @ nat = $false) | ~spl1_6), 80.27/10.52 inference(trivial_inequality_removal,[],[f2167])). 80.27/10.52 tff(f2185,plain,( 80.27/10.52 ($false = $true) | (iii @ sK3 @ sK2 = $false) | (in @ sK2 @ nat = $false) | ~spl1_6), 80.27/10.52 inference(forward_demodulation,[],[f2184,f1856])). 80.27/10.52 tff(f2186,plain,( 80.27/10.52 (iii @ sK3 @ sK2 = $false) | (in @ sK2 @ nat = $false) | ~spl1_6), 80.27/10.52 inference(trivial_inequality_removal,[],[f2185])). 80.27/10.52 tff(f2187,plain,( 80.27/10.52 ($false = $true) | (iii @ sK3 @ sK2 = $false) | ~spl1_6), 80.27/10.52 inference(forward_demodulation,[],[f2186,f1852])). 80.27/10.52 tff(f2188,plain,( 80.27/10.52 (iii @ sK3 @ sK2 = $false) | ~spl1_6), 80.27/10.52 inference(trivial_inequality_removal,[],[f2187])). 80.27/10.52 tff(f2191,plain,( 80.27/10.52 ($false = $true) | (d_not @ (d_29_ii @ (ordsucc @ sK3) @ sK2) = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | ~spl1_6), 80.27/10.52 inference(forward_demodulation,[],[f2182,f1852])). 80.27/10.52 tff(f2192,plain,( 80.27/10.52 (d_not @ (d_29_ii @ (ordsucc @ sK3) @ sK2) = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | ~spl1_6), 80.27/10.52 inference(trivial_inequality_removal,[],[f2191])). 80.27/10.52 tff(f2193,plain,( 80.27/10.52 (d_not @ $true = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | ~spl1_6), 80.27/10.52 inference(forward_demodulation,[],[f2192,f1858])). 80.27/10.52 tff(f2206,plain,( 80.27/10.52 (d_not @ $false = $false) | (in @ sK2 @ nat = $false) | (in @ sK3 @ nat = $false) | (moreis @ sK3 @ sK2 = $true) | ~spl1_6), 80.27/10.52 inference(superposition,[],[f1035,f2188])). 80.27/10.52 tff(f2343,plain,( 80.27/10.52 spl1_10 <=> (d_not @ $true = $false)), 80.27/10.52 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])). 80.27/10.52 tff(f2344,plain,( 80.27/10.52 (d_not @ $true = $false) | ~spl1_10), 80.27/10.52 inference(avatar_component_clause,[],[f2343])). 80.27/10.52 tff(f2345,plain,( 80.27/10.52 spl1_4 | spl1_10 | ~spl1_6), 80.27/10.52 inference(avatar_split_clause,[],[f2193,f2014,f2343,f2008])). 80.27/10.52 tff(f2393,plain,( 80.27/10.52 (d_not @ $true = $true) | (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $false) | (moreis @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3)) = $false) | (in @ (ordsucc @ emptyset) @ nat = $false) | ~spl1_5), 80.27/10.52 inference(superposition,[],[f1095,f2118])). 80.27/10.52 tff(f2394,plain,( 80.27/10.52 ($false = $true) | (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $false) | (in @ (ordsucc @ emptyset) @ nat = $false) | (d_not @ (moreis @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3))) = $true) | ~spl1_5), 80.27/10.52 inference(superposition,[],[f1055,f2118])). 80.27/10.52 tff(f2396,plain,( 80.27/10.52 (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $false) | (in @ (ordsucc @ emptyset) @ nat = $false) | (d_not @ (moreis @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3))) = $true) | ~spl1_5), 80.27/10.52 inference(trivial_inequality_removal,[],[f2394])). 80.27/10.52 tff(f2406,plain,( 80.27/10.52 ($false = $true) | (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $false) | (moreis @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3)) = $false) | (in @ (ordsucc @ emptyset) @ nat = $false) | (~spl1_5 | ~spl1_10)), 80.27/10.52 inference(forward_demodulation,[],[f2393,f2344])). 80.27/10.52 tff(f2407,plain,( 80.27/10.52 (in @ (ordsucc @ (ordsucc @ sK3)) @ nat = $false) | (moreis @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3)) = $false) | (in @ (ordsucc @ emptyset) @ nat = $false) | (~spl1_5 | ~spl1_10)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2406])). 80.27/10.52 tff(f2408,plain,( 80.27/10.52 ($false = $true) | (moreis @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3)) = $false) | (in @ (ordsucc @ emptyset) @ nat = $false) | (~spl1_5 | ~spl1_10)), 80.27/10.52 inference(forward_demodulation,[],[f2407,f2134])). 80.27/10.52 tff(f2409,plain,( 80.27/10.52 (moreis @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3)) = $false) | (in @ (ordsucc @ emptyset) @ nat = $false) | (~spl1_5 | ~spl1_10)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2408])). 80.27/10.52 tff(f2410,plain,( 80.27/10.52 ($false = $true) | (moreis @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3)) = $false) | (~spl1_5 | ~spl1_10)), 80.27/10.52 inference(forward_demodulation,[],[f2409,f1829])). 80.27/10.52 tff(f2411,plain,( 80.27/10.52 (moreis @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3)) = $false) | (~spl1_5 | ~spl1_10)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2410])). 80.27/10.52 tff(f2416,plain,( 80.27/10.52 ($false = $true) | (in @ (ordsucc @ emptyset) @ nat = $false) | (d_not @ (moreis @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3))) = $true) | ~spl1_5), 80.27/10.52 inference(forward_demodulation,[],[f2396,f2134])). 80.27/10.52 tff(f2417,plain,( 80.27/10.52 (in @ (ordsucc @ emptyset) @ nat = $false) | (d_not @ (moreis @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3))) = $true) | ~spl1_5), 80.27/10.52 inference(trivial_inequality_removal,[],[f2416])). 80.27/10.52 tff(f2418,plain,( 80.27/10.52 ($false = $true) | (d_not @ (moreis @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3))) = $true) | ~spl1_5), 80.27/10.52 inference(forward_demodulation,[],[f2417,f1829])). 80.27/10.52 tff(f2419,plain,( 80.27/10.52 (d_not @ (moreis @ (ordsucc @ emptyset) @ (ordsucc @ (ordsucc @ sK3))) = $true) | ~spl1_5), 80.27/10.52 inference(trivial_inequality_removal,[],[f2418])). 80.27/10.52 tff(f2420,plain,( 80.27/10.52 (d_not @ $false = $true) | (~spl1_5 | ~spl1_10)), 80.27/10.52 inference(forward_demodulation,[],[f2419,f2411])). 80.27/10.52 tff(f2424,plain,( 80.27/10.52 ($false = $true) | (in @ sK2 @ nat = $false) | (in @ sK3 @ nat = $false) | (moreis @ sK3 @ sK2 = $true) | (~spl1_5 | ~spl1_6 | ~spl1_10)), 80.27/10.52 inference(forward_demodulation,[],[f2206,f2420])). 80.27/10.52 tff(f2425,plain,( 80.27/10.52 (in @ sK2 @ nat = $false) | (in @ sK3 @ nat = $false) | (moreis @ sK3 @ sK2 = $true) | (~spl1_5 | ~spl1_6 | ~spl1_10)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2424])). 80.27/10.52 tff(f2426,plain,( 80.27/10.52 ($false = $true) | (in @ sK3 @ nat = $false) | (moreis @ sK3 @ sK2 = $true) | (~spl1_5 | ~spl1_6 | ~spl1_10)), 80.27/10.52 inference(forward_demodulation,[],[f2425,f1852])). 80.27/10.52 tff(f2427,plain,( 80.27/10.52 (in @ sK3 @ nat = $false) | (moreis @ sK3 @ sK2 = $true) | (~spl1_5 | ~spl1_6 | ~spl1_10)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2426])). 80.27/10.52 tff(f2428,plain,( 80.27/10.52 ($false = $true) | (moreis @ sK3 @ sK2 = $true) | (~spl1_5 | ~spl1_6 | ~spl1_10)), 80.27/10.52 inference(forward_demodulation,[],[f2427,f1856])). 80.27/10.52 tff(f2429,plain,( 80.27/10.52 (moreis @ sK3 @ sK2 = $true) | (~spl1_5 | ~spl1_6 | ~spl1_10)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2428])). 80.27/10.52 tff(f2430,plain,( 80.27/10.52 ($false = $true) | (~spl1_5 | ~spl1_6 | ~spl1_10)), 80.27/10.52 inference(forward_demodulation,[],[f2429,f1859])). 80.27/10.52 tff(f2431,plain,( 80.27/10.52 $false | (~spl1_5 | ~spl1_6 | ~spl1_10)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2430])). 80.27/10.52 tff(f2432,plain,( 80.27/10.52 spl1_5 | ~spl1_6 | ~spl1_10), 80.27/10.52 inference(avatar_contradiction_clause,[],[f2431])). 80.27/10.52 tff(f2483,plain,( 80.27/10.52 (d_not @ $true = $false) | (in @ sK2 @ nat = $false) | (in @ sK3 @ nat = $false) | (moreis @ sK3 @ sK2 = $true) | ~spl1_0), 80.27/10.52 inference(superposition,[],[f1035,f1996])). 80.27/10.52 tff(f2502,plain,( 80.27/10.52 ($false = $true) | (in @ sK2 @ nat = $false) | (in @ sK3 @ nat = $false) | (moreis @ sK3 @ sK2 = $true) | (~spl1_0 | ~spl1_8)), 80.27/10.52 inference(forward_demodulation,[],[f2483,f2021])). 80.27/10.52 tff(f2503,plain,( 80.27/10.52 (in @ sK2 @ nat = $false) | (in @ sK3 @ nat = $false) | (moreis @ sK3 @ sK2 = $true) | (~spl1_0 | ~spl1_8)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2502])). 80.27/10.52 tff(f2504,plain,( 80.27/10.52 ($false = $true) | (in @ sK3 @ nat = $false) | (moreis @ sK3 @ sK2 = $true) | (~spl1_0 | ~spl1_8)), 80.27/10.52 inference(forward_demodulation,[],[f2503,f1852])). 80.27/10.52 tff(f2505,plain,( 80.27/10.52 (in @ sK3 @ nat = $false) | (moreis @ sK3 @ sK2 = $true) | (~spl1_0 | ~spl1_8)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2504])). 80.27/10.52 tff(f2506,plain,( 80.27/10.52 ($false = $true) | (moreis @ sK3 @ sK2 = $true) | (~spl1_0 | ~spl1_8)), 80.27/10.52 inference(forward_demodulation,[],[f2505,f1856])). 80.27/10.52 tff(f2507,plain,( 80.27/10.52 (moreis @ sK3 @ sK2 = $true) | (~spl1_0 | ~spl1_8)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2506])). 80.27/10.52 tff(f2508,plain,( 80.27/10.52 ($false = $true) | (~spl1_0 | ~spl1_8)), 80.27/10.52 inference(forward_demodulation,[],[f2507,f1859])). 80.27/10.52 tff(f2509,plain,( 80.27/10.52 $false | (~spl1_0 | ~spl1_8)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2508])). 80.27/10.52 tff(f2510,plain,( 80.27/10.52 ~spl1_0 | ~spl1_8), 80.27/10.52 inference(avatar_contradiction_clause,[],[f2509])). 80.27/10.52 tff(f2518,plain,( 80.27/10.52 ($true != $true) | (in @ sK3 @ nat = $false) | (d_29_ii @ sK2 @ sK3 = $false) | (in @ sK2 @ nat = $false) | ~spl1_1), 80.27/10.52 inference(superposition,[],[f1993,f1352])). 80.27/10.52 tff(f2521,plain,( 80.27/10.52 (in @ sK3 @ nat = $false) | (d_29_ii @ sK2 @ sK3 = $false) | (in @ sK2 @ nat = $false) | ~spl1_1), 80.27/10.52 inference(trivial_inequality_removal,[],[f2518])). 80.27/10.52 tff(f2525,plain,( 80.27/10.52 ($false = $true) | (d_29_ii @ sK2 @ sK3 = $false) | (in @ sK2 @ nat = $false) | ~spl1_1), 80.27/10.52 inference(forward_demodulation,[],[f2521,f1856])). 80.27/10.52 tff(f2526,plain,( 80.27/10.52 (d_29_ii @ sK2 @ sK3 = $false) | (in @ sK2 @ nat = $false) | ~spl1_1), 80.27/10.52 inference(trivial_inequality_removal,[],[f2525])). 80.27/10.52 tff(f2527,plain,( 80.27/10.52 ($false = $true) | (d_29_ii @ sK2 @ sK3 = $false) | ~spl1_1), 80.27/10.52 inference(forward_demodulation,[],[f2526,f1852])). 80.27/10.52 tff(f2528,plain,( 80.27/10.52 (d_29_ii @ sK2 @ sK3 = $false) | ~spl1_1), 80.27/10.52 inference(trivial_inequality_removal,[],[f2527])). 80.27/10.52 tff(f2535,plain,( 80.27/10.52 (d_not @ $false = $true) | (in @ sK3 @ nat = $false) | (lessis @ sK2 @ sK3 = $false) | (in @ sK2 @ nat = $false) | ~spl1_1), 80.27/10.52 inference(superposition,[],[f1362,f2528])). 80.27/10.52 tff(f2536,plain,( 80.27/10.52 ($false = $true) | (in @ sK3 @ nat = $false) | (lessis @ sK2 @ sK3 = $false) | (in @ sK2 @ nat = $false) | (~spl1_1 | ~spl1_2)), 80.27/10.52 inference(forward_demodulation,[],[f2535,f2002])). 80.27/10.52 tff(f2537,plain,( 80.27/10.52 (in @ sK3 @ nat = $false) | (lessis @ sK2 @ sK3 = $false) | (in @ sK2 @ nat = $false) | (~spl1_1 | ~spl1_2)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2536])). 80.27/10.52 tff(f2538,plain,( 80.27/10.52 ($false = $true) | (lessis @ sK2 @ sK3 = $false) | (in @ sK2 @ nat = $false) | (~spl1_1 | ~spl1_2)), 80.27/10.52 inference(forward_demodulation,[],[f2537,f1856])). 80.27/10.52 tff(f2539,plain,( 80.27/10.52 (lessis @ sK2 @ sK3 = $false) | (in @ sK2 @ nat = $false) | (~spl1_1 | ~spl1_2)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2538])). 80.27/10.52 tff(f2540,plain,( 80.27/10.52 ($false = $true) | (lessis @ sK2 @ sK3 = $false) | (~spl1_1 | ~spl1_2)), 80.27/10.52 inference(forward_demodulation,[],[f2539,f1852])). 80.27/10.52 tff(f2541,plain,( 80.27/10.52 (lessis @ sK2 @ sK3 = $false) | (~spl1_1 | ~spl1_2)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2540])). 80.27/10.52 tff(f2568,plain,( 80.27/10.52 ($false != $false) | (in @ sK2 @ nat = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $true) | ~spl1_7), 80.27/10.52 inference(superposition,[],[f2012,f1085])). 80.27/10.52 tff(f2578,plain,( 80.27/10.52 (in @ sK2 @ nat = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $true) | ~spl1_7), 80.27/10.52 inference(trivial_inequality_removal,[],[f2568])). 80.27/10.52 tff(f2579,plain,( 80.27/10.52 ($false = $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $true) | ~spl1_7), 80.27/10.52 inference(forward_demodulation,[],[f2578,f1852])). 80.27/10.52 tff(f2580,plain,( 80.27/10.52 (in @ (ordsucc @ sK3) @ nat = $false) | (moreis @ sK2 @ (ordsucc @ sK3) = $true) | ~spl1_7), 80.27/10.52 inference(trivial_inequality_removal,[],[f2579])). 80.27/10.52 tff(f2779,plain,( 80.27/10.52 spl1_16 <=> (moreis @ sK2 @ (ordsucc @ sK3) = $true)), 80.27/10.52 introduced(avatar_definition,[new_symbols(naming,[spl1_16])])). 80.27/10.52 tff(f2780,plain,( 80.27/10.52 (moreis @ sK2 @ (ordsucc @ sK3) = $true) | ~spl1_16), 80.27/10.52 inference(avatar_component_clause,[],[f2779])). 80.27/10.52 tff(f2781,plain,( 80.27/10.52 spl1_16 | spl1_4 | spl1_7), 80.27/10.52 inference(avatar_split_clause,[],[f2580,f2011,f2008,f2779])). 80.27/10.52 tff(f2822,plain,( 80.27/10.52 (d_not @ $true = $false) | (in @ (ordsucc @ sK3) @ nat = $false) | (in @ sK2 @ nat = $false) | (iii @ sK2 @ (ordsucc @ sK3) = $true) | ~spl1_16), 80.27/10.52 inference(superposition,[],[f1045,f2780])). 80.27/10.52 tff(f2823,plain,( 80.27/10.52 ($false = $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (in @ sK2 @ nat = $false) | (iii @ sK2 @ (ordsucc @ sK3) = $true) | (~spl1_8 | ~spl1_16)), 80.27/10.52 inference(forward_demodulation,[],[f2822,f2021])). 80.27/10.52 tff(f2824,plain,( 80.27/10.52 (in @ (ordsucc @ sK3) @ nat = $false) | (in @ sK2 @ nat = $false) | (iii @ sK2 @ (ordsucc @ sK3) = $true) | (~spl1_8 | ~spl1_16)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2823])). 80.27/10.52 tff(f2825,plain,( 80.27/10.52 ($false = $true) | (in @ (ordsucc @ sK3) @ nat = $false) | (iii @ sK2 @ (ordsucc @ sK3) = $true) | (~spl1_8 | ~spl1_16)), 80.27/10.52 inference(forward_demodulation,[],[f2824,f1852])). 80.27/10.52 tff(f2826,plain,( 80.27/10.52 (in @ (ordsucc @ sK3) @ nat = $false) | (iii @ sK2 @ (ordsucc @ sK3) = $true) | (~spl1_8 | ~spl1_16)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2825])). 80.27/10.52 tff(f2831,plain,( 80.27/10.52 spl1_18 <=> (iii @ sK2 @ (ordsucc @ sK3) = $true)), 80.27/10.52 introduced(avatar_definition,[new_symbols(naming,[spl1_18])])). 80.27/10.52 tff(f2832,plain,( 80.27/10.52 (iii @ sK2 @ (ordsucc @ sK3) = $true) | ~spl1_18), 80.27/10.52 inference(avatar_component_clause,[],[f2831])). 80.27/10.52 tff(f2833,plain,( 80.27/10.52 spl1_18 | spl1_4 | ~spl1_8 | ~spl1_16), 80.27/10.52 inference(avatar_split_clause,[],[f2826,f2779,f2020,f2008,f2831])). 80.27/10.52 tff(f2839,plain,( 80.27/10.52 ($false = $true) | (in @ sK2 @ nat = $false) | (in @ sK3 @ nat = $false) | (lessis @ sK2 @ sK3 = $true) | ~spl1_18), 80.27/10.52 inference(superposition,[],[f1693,f2832])). 80.27/10.52 tff(f2848,plain,( 80.27/10.52 (in @ sK2 @ nat = $false) | (in @ sK3 @ nat = $false) | (lessis @ sK2 @ sK3 = $true) | ~spl1_18), 80.27/10.52 inference(trivial_inequality_removal,[],[f2839])). 80.27/10.52 tff(f2863,plain,( 80.27/10.52 ($false = $true) | (in @ sK3 @ nat = $false) | (lessis @ sK2 @ sK3 = $true) | ~spl1_18), 80.27/10.52 inference(forward_demodulation,[],[f2848,f1852])). 80.27/10.52 tff(f2864,plain,( 80.27/10.52 (in @ sK3 @ nat = $false) | (lessis @ sK2 @ sK3 = $true) | ~spl1_18), 80.27/10.52 inference(trivial_inequality_removal,[],[f2863])). 80.27/10.52 tff(f2865,plain,( 80.27/10.52 ($false = $true) | (lessis @ sK2 @ sK3 = $true) | ~spl1_18), 80.27/10.52 inference(forward_demodulation,[],[f2864,f1856])). 80.27/10.52 tff(f2866,plain,( 80.27/10.52 (lessis @ sK2 @ sK3 = $true) | ~spl1_18), 80.27/10.52 inference(trivial_inequality_removal,[],[f2865])). 80.27/10.52 tff(f2867,plain,( 80.27/10.52 ($false = $true) | (~spl1_1 | ~spl1_2 | ~spl1_18)), 80.27/10.52 inference(forward_demodulation,[],[f2866,f2541])). 80.27/10.52 tff(f2868,plain,( 80.27/10.52 $false | (~spl1_1 | ~spl1_2 | ~spl1_18)), 80.27/10.52 inference(trivial_inequality_removal,[],[f2867])). 80.27/10.52 tff(f2869,plain,( 80.27/10.52 spl1_1 | ~spl1_2 | ~spl1_18), 80.27/10.52 inference(avatar_contradiction_clause,[],[f2868])). 80.27/10.52 tff(f2873,plain,( 80.27/10.52 $false), 80.27/10.52 inference(avatar_sat_refutation,[],[f2003,f2022,f2043,f2345,f2432,f2510,f2781,f2833,f2869])). 80.27/10.52 % SZS output end Proof for theBenchmark 80.27/10.52 % (15643)------------------------------ 80.27/10.52 % (15643)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 80.27/10.52 % (15643)Termination reason: Refutation 80.27/10.52 80.27/10.52 % (15643)Memory used [KB]: 9210 80.27/10.52 % (15643)Time elapsed: 0.742 s 80.27/10.52 % (15643)------------------------------ 80.27/10.52 % (15643)------------------------------ 80.27/10.52 % (15331)Success in time 10.143 s 80.27/10.53 EOF