0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_vampire %s %d 0.13/0.34 % Computer : n017.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Thu Jul 2 09:21:06 EDT 2020 0.13/0.34 % CPUTime : 0.20/0.42 % (2590)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 0.20/0.42 % (2593)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 0.20/0.43 % (2601)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 0.20/0.43 % (2585)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 0.20/0.43 % (2588)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 0.20/0.43 % (2587)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 0.20/0.43 % (2591)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 0.20/0.43 % (2589)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 0.20/0.43 % (2606)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 0.20/0.44 % (2609)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 0.20/0.44 % (2598)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 0.20/0.44 % (2582)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 0.20/0.44 % (2610)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 0.20/0.45 % (2602)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 0.20/0.45 % (2583)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 0.20/0.45 % (2581)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 0.20/0.45 % (2594)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark 0.20/0.45 % (2584)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 0.20/0.45 % (2608)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 0.20/0.45 % (2597)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 0.20/0.46 % (2605)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 0.20/0.47 % (2586)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 0.20/0.47 % (2600)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 0.20/0.47 % (2603)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 0.20/0.47 % (2604)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 0.20/0.47 % (2607)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 0.20/0.47 % (2596)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 0.20/0.47 % (2592)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 0.20/0.47 % (2595)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 0.20/0.47 % (2599)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 6.52/1.21 % (2583)Time limit reached! 6.52/1.21 % (2583)------------------------------ 6.52/1.21 % (2583)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 6.52/1.21 % (2583)Termination reason: Time limit 6.52/1.21 6.52/1.21 % (2583)Memory used [KB]: 15351 6.52/1.21 % (2583)Time elapsed: 0.811 s 6.52/1.21 % (2583)------------------------------ 6.52/1.21 % (2583)------------------------------ 6.68/1.28 % (2623)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 7.87/1.42 % (2587)Time limit reached! 7.87/1.42 % (2587)------------------------------ 7.87/1.42 % (2587)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 7.87/1.44 % (2587)Termination reason: Time limit 7.87/1.44 7.87/1.44 % (2587)Memory used [KB]: 24434 7.87/1.44 % (2587)Time elapsed: 1.023 s 7.87/1.44 % (2587)------------------------------ 7.87/1.44 % (2587)------------------------------ 8.52/1.47 % (2630)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 8.76/1.51 % (2603)Time limit reached! 8.76/1.51 % (2603)------------------------------ 8.76/1.51 % (2603)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.76/1.51 % (2603)Termination reason: Time limit 8.76/1.51 % (2603)Termination phase: Saturation 8.76/1.51 8.76/1.51 % (2603)Memory used [KB]: 5373 8.76/1.51 % (2603)Time elapsed: 1.100 s 8.76/1.51 % (2603)------------------------------ 8.76/1.51 % (2603)------------------------------ 8.76/1.52 % (2595)Time limit reached! 8.76/1.52 % (2595)------------------------------ 8.76/1.52 % (2595)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 8.76/1.52 % (2595)Termination reason: Time limit 8.76/1.52 8.76/1.52 % (2595)Memory used [KB]: 12792 8.76/1.52 % (2595)Time elapsed: 1.123 s 8.76/1.52 % (2595)------------------------------ 8.76/1.52 % (2595)------------------------------ 8.98/1.55 % (2631)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 8.98/1.62 % (2632)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 9.61/1.67 % (2584)Time limit reached! 9.61/1.67 % (2584)------------------------------ 9.61/1.67 % (2584)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 9.61/1.67 % (2584)Termination reason: Time limit 9.61/1.67 9.61/1.67 % (2584)Memory used [KB]: 17782 9.61/1.67 % (2584)Time elapsed: 1.244 s 9.61/1.67 % (2584)------------------------------ 9.61/1.67 % (2584)------------------------------ 10.38/1.71 % (2639)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 10.38/1.73 % (2593)Time limit reached! 10.38/1.73 % (2593)------------------------------ 10.38/1.73 % (2593)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 10.38/1.73 % (2593)Termination reason: Time limit 10.38/1.73 % (2593)Termination phase: Function definition elimination 10.38/1.73 10.38/1.73 % (2593)Memory used [KB]: 2942 10.38/1.73 % (2593)Time elapsed: 0.500 s 10.38/1.73 % (2593)------------------------------ 10.38/1.73 % (2593)------------------------------ 11.03/1.79 % (2640)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 11.36/1.91 % (2590)Time limit reached! 11.36/1.91 % (2590)------------------------------ 11.36/1.91 % (2590)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 11.36/1.91 % (2590)Termination reason: Time limit 11.36/1.91 % (2590)Termination phase: Function definition elimination 11.36/1.91 11.36/1.91 % (2590)Memory used [KB]: 2942 11.36/1.91 % (2590)Time elapsed: 0.600 s 11.36/1.91 % (2590)------------------------------ 11.36/1.91 % (2590)------------------------------ 12.09/1.95 % (2641)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 13.62/2.21 % (2582)Time limit reached! 13.62/2.21 % (2582)------------------------------ 13.62/2.21 % (2582)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.62/2.21 % (2582)Termination reason: Time limit 13.62/2.21 % (2582)Termination phase: Function definition elimination 13.62/2.21 13.62/2.21 % (2582)Memory used [KB]: 3070 13.62/2.21 % (2582)Time elapsed: 0.500 s 13.62/2.21 % (2582)------------------------------ 13.62/2.21 % (2582)------------------------------ 13.62/2.21 % (2581)Time limit reached! 13.62/2.21 % (2581)------------------------------ 13.62/2.21 % (2581)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 13.62/2.21 % (2581)Termination reason: Time limit 13.62/2.21 % (2581)Termination phase: Function definition elimination 13.62/2.21 13.62/2.21 % (2581)Memory used [KB]: 2942 13.62/2.21 % (2581)Time elapsed: 0.500 s 13.62/2.21 % (2581)------------------------------ 13.62/2.21 % (2581)------------------------------ 14.54/2.24 % (2648)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 14.54/2.26 % (2649)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 15.17/2.33 % (2592)Time limit reached! 15.17/2.33 % (2592)------------------------------ 15.17/2.33 % (2592)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 15.17/2.33 % (2592)Termination reason: Time limit 15.17/2.33 % (2592)Termination phase: Saturation 15.17/2.33 15.17/2.33 % (2592)Memory used [KB]: 8059 15.17/2.33 % (2592)Time elapsed: 0.500 s 15.17/2.33 % (2592)------------------------------ 15.17/2.33 % (2592)------------------------------ 15.17/2.37 % (2650)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 15.81/2.48 % (2632)Refutation not found, incomplete strategy 15.81/2.48 % (2632)------------------------------ 15.81/2.48 % (2632)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 15.81/2.48 % (2632)Termination reason: Refutation not found, incomplete strategy 15.81/2.48 15.81/2.48 % (2632)Memory used [KB]: 16886 15.81/2.48 % (2632)Time elapsed: 0.903 s 15.81/2.48 % (2632)------------------------------ 15.81/2.48 % (2632)------------------------------ 16.76/2.54 % (2651)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 22.99/3.36 % (2649)Refutation not found, incomplete strategy 22.99/3.36 % (2649)------------------------------ 22.99/3.36 % (2649)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 22.99/3.36 % (2649)Termination reason: Refutation not found, incomplete strategy 22.99/3.36 22.99/3.36 % (2649)Memory used [KB]: 23155 22.99/3.36 % (2649)Time elapsed: 1.127 s 22.99/3.36 % (2649)------------------------------ 22.99/3.36 % (2649)------------------------------ 24.25/3.45 % (2670)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 25.78/3.66 % (2650)Time limit reached! 25.78/3.66 % (2650)------------------------------ 25.78/3.66 % (2650)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 25.78/3.66 % (2650)Termination reason: Time limit 25.78/3.66 25.78/3.66 % (2650)Memory used [KB]: 38634 25.78/3.66 % (2650)Time elapsed: 1.335 s 25.78/3.66 % (2650)------------------------------ 25.78/3.66 % (2650)------------------------------ 26.14/3.69 % (2598)Time limit reached! 26.14/3.69 % (2598)------------------------------ 26.14/3.69 % (2598)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.14/3.69 % (2598)Termination reason: Time limit 26.14/3.69 26.14/3.69 % (2598)Memory used [KB]: 34157 26.14/3.69 % (2598)Time elapsed: 3.266 s 26.14/3.69 % (2598)------------------------------ 26.14/3.69 % (2598)------------------------------ 26.14/3.71 % (2701)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 26.56/3.74 % (2651)Time limit reached! 26.56/3.74 % (2651)------------------------------ 26.56/3.74 % (2651)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.56/3.74 % (2651)Termination reason: Time limit 26.56/3.74 % (2651)Termination phase: Saturation 26.56/3.74 26.56/3.74 % (2651)Memory used [KB]: 15607 26.56/3.74 % (2651)Time elapsed: 1.100 s 26.56/3.74 % (2651)------------------------------ 26.56/3.74 % (2651)------------------------------ 26.68/3.76 % (2703)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 26.68/3.77 % (2599)Time limit reached! 26.68/3.77 % (2599)------------------------------ 26.68/3.77 % (2599)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.68/3.77 % (2599)Termination reason: Time limit 26.68/3.77 % (2599)Termination phase: Function definition elimination 26.68/3.77 26.68/3.77 % (2599)Memory used [KB]: 3070 26.68/3.77 % (2599)Time elapsed: 0.900 s 26.68/3.77 % (2599)------------------------------ 26.68/3.77 % (2599)------------------------------ 26.68/3.79 % (2602)Time limit reached! 26.68/3.79 % (2602)------------------------------ 26.68/3.79 % (2602)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 26.68/3.79 % (2602)Termination reason: Time limit 26.68/3.79 26.68/3.79 % (2602)Memory used [KB]: 46566 26.68/3.79 % (2602)Time elapsed: 3.359 s 26.68/3.79 % (2602)------------------------------ 26.68/3.79 % (2602)------------------------------ 26.68/3.80 % (2704)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 27.06/3.82 % (2709)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 27.36/3.86 % (2710)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 28.28/4.00 % (2596)Time limit reached! 28.28/4.00 % (2596)------------------------------ 28.28/4.00 % (2596)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 28.28/4.00 % (2596)Termination reason: Time limit 28.28/4.00 % (2596)Termination phase: Function definition elimination 28.28/4.00 28.28/4.00 % (2596)Memory used [KB]: 3070 28.28/4.00 % (2596)Time elapsed: 1.0000 s 28.28/4.00 % (2596)------------------------------ 28.28/4.00 % (2596)------------------------------ 28.70/4.05 % (2712)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 29.88/4.16 % (2600)Time limit reached! 29.88/4.16 % (2600)------------------------------ 29.88/4.16 % (2600)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 29.88/4.16 % (2600)Termination reason: Time limit 29.88/4.16 % (2600)Termination phase: Function definition elimination 29.88/4.16 29.88/4.16 % (2600)Memory used [KB]: 3070 29.88/4.16 % (2600)Time elapsed: 1.100 s 29.88/4.16 % (2600)------------------------------ 29.88/4.16 % (2600)------------------------------ 30.14/4.22 % (2713)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 30.97/4.35 % (2631)Time limit reached! 30.97/4.35 % (2631)------------------------------ 30.97/4.35 % (2631)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 30.97/4.35 % (2631)Termination reason: Time limit 30.97/4.35 % (2631)Termination phase: Saturation 30.97/4.35 30.97/4.35 % (2631)Memory used [KB]: 25458 30.97/4.35 % (2631)Time elapsed: 2.800 s 30.97/4.35 % (2631)------------------------------ 30.97/4.35 % (2631)------------------------------ 31.43/4.37 % (2594)Time limit reached! 31.43/4.37 % (2594)------------------------------ 31.43/4.37 % (2594)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 31.43/4.37 % (2594)Termination reason: Time limit 31.43/4.37 % (2594)Termination phase: Function definition elimination 31.43/4.37 31.43/4.37 % (2594)Memory used [KB]: 3070 31.43/4.37 % (2594)Time elapsed: 1.100 s 31.43/4.37 % (2594)------------------------------ 31.43/4.37 % (2594)------------------------------ 31.43/4.41 % (2714)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 31.43/4.42 % (2715)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 32.32/4.54 % (2670)Refutation not found, incomplete strategy 32.32/4.54 % (2670)------------------------------ 32.32/4.54 % (2670)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 32.32/4.54 % (2670)Termination reason: Refutation not found, incomplete strategy 32.32/4.54 32.32/4.54 % (2670)Memory used [KB]: 20724 32.32/4.54 % (2670)Time elapsed: 1.150 s 32.32/4.54 % (2670)------------------------------ 32.32/4.54 % (2670)------------------------------ 33.17/4.58 % (2630)Time limit reached! 33.17/4.58 % (2630)------------------------------ 33.17/4.58 % (2630)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 33.17/4.58 % (2630)Termination reason: Time limit 33.17/4.58 % (2630)Termination phase: Saturation 33.17/4.58 33.17/4.58 % (2630)Memory used [KB]: 14456 33.17/4.58 % (2630)Time elapsed: 3.100 s 33.17/4.58 % (2630)------------------------------ 33.17/4.58 % (2630)------------------------------ 33.17/4.60 % (2716)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 33.63/4.65 % (2717)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 33.63/4.66 % (2639)Time limit reached! 33.63/4.66 % (2639)------------------------------ 33.63/4.66 % (2639)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 33.63/4.66 % (2639)Termination reason: Time limit 33.63/4.66 33.63/4.66 % (2639)Memory used [KB]: 22515 33.63/4.66 % (2639)Time elapsed: 2.971 s 33.63/4.66 % (2639)------------------------------ 33.63/4.66 % (2639)------------------------------ 33.89/4.72 % (2718)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 36.53/5.06 % (2606)Time limit reached! 36.53/5.06 % (2606)------------------------------ 36.53/5.06 % (2606)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 36.53/5.06 % (2606)Termination reason: Time limit 36.53/5.06 % (2606)Termination phase: Function definition elimination 36.53/5.06 36.53/5.06 % (2606)Memory used [KB]: 2942 36.53/5.06 % (2606)Time elapsed: 1.500 s 36.53/5.06 % (2606)------------------------------ 36.53/5.06 % (2606)------------------------------ 37.22/5.12 % (2719)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 37.81/5.18 % (2709)Time limit reached! 37.81/5.18 % (2709)------------------------------ 37.81/5.18 % (2709)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 37.81/5.18 % (2709)Termination reason: Time limit 37.81/5.18 % (2709)Termination phase: Saturation 37.81/5.18 37.81/5.18 % (2709)Memory used [KB]: 16247 37.81/5.18 % (2709)Time elapsed: 1.412 s 37.81/5.18 % (2709)------------------------------ 37.81/5.18 % (2709)------------------------------ 38.06/5.22 % (2720)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 41.57/5.63 % (2703)Time limit reached! 41.57/5.63 % (2703)------------------------------ 41.57/5.63 % (2703)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 41.57/5.63 % (2703)Termination reason: Time limit 41.57/5.63 % (2703)Termination phase: Function definition elimination 41.57/5.63 41.57/5.63 % (2703)Memory used [KB]: 3070 41.57/5.63 % (2703)Time elapsed: 0.800 s 41.57/5.63 % (2703)------------------------------ 41.57/5.63 % (2703)------------------------------ 41.57/5.64 % (2604)Time limit reached! 41.57/5.64 % (2604)------------------------------ 41.57/5.64 % (2604)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 41.57/5.64 % (2604)Termination reason: Time limit 41.57/5.64 % (2604)Termination phase: Saturation 41.57/5.64 41.57/5.64 % (2604)Memory used [KB]: 42088 41.57/5.64 % (2604)Time elapsed: 5.200 s 41.57/5.64 % (2604)------------------------------ 41.57/5.64 % (2604)------------------------------ 41.57/5.67 % (2727)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 42.01/5.71 % (2728)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 44.20/6.05 % (2585)Time limit reached! 44.20/6.05 % (2585)------------------------------ 44.20/6.05 % (2585)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 44.20/6.05 % (2585)Termination reason: Time limit 44.20/6.05 % (2585)Termination phase: Function definition elimination 44.20/6.05 44.20/6.05 % (2585)Memory used [KB]: 3070 44.20/6.05 % (2585)Time elapsed: 1.500 s 44.20/6.05 % (2585)------------------------------ 44.20/6.05 % (2585)------------------------------ 44.98/6.11 % (2741)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 45.70/6.18 % (2586)Time limit reached! 45.70/6.18 % (2586)------------------------------ 45.70/6.18 % (2586)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 45.70/6.18 % (2586)Termination reason: Time limit 45.70/6.18 % (2586)Termination phase: Function definition elimination 45.70/6.18 45.70/6.18 % (2586)Memory used [KB]: 3070 45.70/6.18 % (2586)Time elapsed: 1.600 s 45.70/6.18 % (2586)------------------------------ 45.70/6.18 % (2586)------------------------------ 45.70/6.22 % (2742)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 47.41/6.37 % (2716)Time limit reached! 47.41/6.37 % (2716)------------------------------ 47.41/6.37 % (2716)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 47.41/6.37 % (2591)Time limit reached! 47.41/6.37 % (2591)------------------------------ 47.41/6.37 % (2591)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 47.41/6.37 % (2591)Termination reason: Time limit 47.41/6.37 % (2591)Termination phase: Saturation 47.41/6.37 47.41/6.37 % (2591)Memory used [KB]: 52323 47.41/6.37 % (2591)Time elapsed: 4.200 s 47.41/6.37 % (2591)------------------------------ 47.41/6.37 % (2591)------------------------------ 47.41/6.38 % (2716)Termination reason: Time limit 47.41/6.38 % (2716)Termination phase: Function definition elimination 47.41/6.38 47.41/6.38 % (2716)Memory used [KB]: 3070 47.41/6.38 % (2716)Time elapsed: 0.800 s 47.41/6.38 % (2716)------------------------------ 47.41/6.38 % (2716)------------------------------ 47.41/6.41 % (2743)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 47.41/6.44 % (2744)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 48.09/6.47 % (2610)Time limit reached! 48.09/6.47 % (2610)------------------------------ 48.09/6.47 % (2610)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 48.09/6.47 % (2610)Termination reason: Time limit 48.09/6.47 % (2610)Termination phase: Saturation 48.09/6.47 48.09/6.47 % (2610)Memory used [KB]: 23922 48.09/6.47 % (2610)Time elapsed: 5.200 s 48.09/6.47 % (2610)------------------------------ 48.09/6.47 % (2610)------------------------------ 48.09/6.48 % (2715)Time limit reached! 48.09/6.48 % (2715)------------------------------ 48.09/6.48 % (2715)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 48.09/6.48 % (2715)Termination reason: Time limit 48.09/6.48 48.09/6.48 % (2715)Memory used [KB]: 20468 48.09/6.48 % (2715)Time elapsed: 2.105 s 48.09/6.48 % (2715)------------------------------ 48.09/6.48 % (2715)------------------------------ 48.57/6.54 % (2745)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 48.57/6.55 % (2746)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 48.57/6.56 % (2728)Refutation not found, incomplete strategy 48.57/6.56 % (2728)------------------------------ 48.57/6.56 % (2728)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 48.57/6.56 % (2728)Termination reason: Refutation not found, incomplete strategy 48.57/6.56 48.57/6.56 % (2728)Memory used [KB]: 16886 48.57/6.56 % (2728)Time elapsed: 0.860 s 48.57/6.56 % (2728)------------------------------ 48.57/6.56 % (2728)------------------------------ 49.01/6.62 % (2747)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 54.13/7.25 % (2744)Time limit reached! 54.13/7.25 % (2744)------------------------------ 54.13/7.25 % (2744)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 54.13/7.25 % (2744)Termination reason: Time limit 54.13/7.25 54.13/7.25 % (2744)Memory used [KB]: 7675 54.13/7.25 % (2744)Time elapsed: 0.844 s 54.13/7.25 % (2744)------------------------------ 54.13/7.25 % (2744)------------------------------ 54.33/7.29 % (2727)Time limit reached! 54.33/7.29 % (2727)------------------------------ 54.33/7.29 % (2727)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 54.33/7.29 % (2727)Termination reason: Time limit 54.33/7.29 54.33/7.29 % (2727)Memory used [KB]: 22643 54.33/7.29 % (2727)Time elapsed: 1.624 s 54.33/7.29 % (2727)------------------------------ 54.33/7.29 % (2727)------------------------------ 54.33/7.30 % (2748)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 54.33/7.33 % (2749)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 69.00/9.10 % (2714)Time limit reached! 69.00/9.10 % (2714)------------------------------ 69.00/9.10 % (2714)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 69.00/9.12 % (2714)Termination reason: Time limit 69.00/9.12 % (2714)Termination phase: Saturation 69.00/9.12 69.00/9.12 % (2714)Memory used [KB]: 54114 69.00/9.12 % (2714)Time elapsed: 4.700 s 69.00/9.12 % (2714)------------------------------ 69.00/9.12 % (2714)------------------------------ 69.86/9.18 % (2756)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 72.26/9.50 % (2742)Time limit reached! 72.26/9.50 % (2742)------------------------------ 72.26/9.50 % (2742)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 72.26/9.51 % (2742)Termination reason: Time limit 72.26/9.51 72.26/9.51 % (2742)Memory used [KB]: 26097 72.26/9.51 % (2742)Time elapsed: 3.308 s 72.26/9.51 % (2742)------------------------------ 72.26/9.51 % (2742)------------------------------ 72.64/9.56 % (2757)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 75.65/9.98 % (2741)Time limit reached! 75.65/9.98 % (2741)------------------------------ 75.65/9.98 % (2741)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 76.28/10.00 % (2741)Termination reason: Time limit 76.28/10.00 % (2741)Termination phase: Function definition elimination 76.28/10.00 76.28/10.00 % (2741)Memory used [KB]: 2942 76.28/10.00 % (2741)Time elapsed: 1.200 s 76.28/10.00 % (2741)------------------------------ 76.28/10.00 % (2741)------------------------------ 76.28/10.01 % (2719)Time limit reached! 76.28/10.01 % (2719)------------------------------ 76.28/10.01 % (2719)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 76.28/10.03 % (2719)Termination reason: Time limit 76.28/10.03 % (2719)Termination phase: Function definition elimination 76.28/10.03 76.28/10.03 % (2719)Memory used [KB]: 2942 76.28/10.03 % (2719)Time elapsed: 1.500 s 76.28/10.03 % (2719)------------------------------ 76.28/10.03 % (2719)------------------------------ 76.28/10.05 % (2758)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 76.97/10.08 % (2759)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 79.35/10.39 % (2588)Time limit reached! 79.35/10.39 % (2588)------------------------------ 79.35/10.39 % (2588)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 79.35/10.39 % (2588)Termination reason: Time limit 79.35/10.39 % (2588)Termination phase: Function definition elimination 79.35/10.39 79.35/10.39 % (2588)Memory used [KB]: 3070 79.35/10.39 % (2588)Time elapsed: 3.400 s 79.35/10.39 % (2588)------------------------------ 79.35/10.39 % (2588)------------------------------ 79.61/10.41 % (2720)Time limit reached! 79.61/10.41 % (2720)------------------------------ 79.61/10.41 % (2720)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 79.61/10.41 % (2720)Termination reason: Time limit 79.61/10.41 % (2720)Termination phase: Function definition elimination 79.61/10.41 79.61/10.41 % (2720)Memory used [KB]: 3070 79.61/10.41 % (2720)Time elapsed: 1.700 s 79.61/10.41 % (2720)------------------------------ 79.61/10.41 % (2720)------------------------------ 79.80/10.43 % Exception at run slice level 79.80/10.43 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 79.80/10.47 % (2761)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 79.80/10.47 % (2762)lrs+1002_1_av=off:csup=on:e2e=on:cs=on:fde=unused:lwlo=on:nm=16:nwc=4:sp=occurrence_150 on theBenchmark 80.96/10.64 % (2757)Time limit reached! 80.96/10.64 % (2757)------------------------------ 80.96/10.64 % (2757)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 80.96/10.64 % (2757)Termination reason: Time limit 80.96/10.64 80.96/10.64 % (2757)Memory used [KB]: 18805 80.96/10.64 % (2757)Time elapsed: 1.113 s 80.96/10.64 % (2757)------------------------------ 80.96/10.64 % (2757)------------------------------ 81.82/10.71 % (2763)ott+2_1:1_csup=on:afp=0:fe=axiom:narr=off:prag=on:cs=on_50 on theBenchmark 86.44/11.29 % (2589)Time limit reached! 86.44/11.29 % (2589)------------------------------ 86.44/11.29 % (2589)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 86.70/11.31 % (2589)Termination reason: Time limit 86.70/11.31 % (2589)Termination phase: Function definition elimination 86.70/11.31 86.70/11.31 % (2589)Memory used [KB]: 3070 86.70/11.31 % (2589)Time elapsed: 3.100 s 86.70/11.31 % (2589)------------------------------ 86.70/11.31 % (2589)------------------------------ 86.70/11.34 % (2770)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 87.08/11.38 % (2713)Time limit reached! 87.08/11.38 % (2713)------------------------------ 87.08/11.38 % (2713)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 87.08/11.38 % (2713)Termination reason: Time limit 87.08/11.38 % (2713)Termination phase: Saturation 87.08/11.38 87.08/11.38 % (2713)Memory used [KB]: 57440 87.08/11.38 % (2713)Time elapsed: 7.200 s 87.08/11.38 % (2713)------------------------------ 87.08/11.38 % (2713)------------------------------ 87.81/11.45 % (2771)lrs+1011_2:1_av=off:piset=small_set: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_200 on theBenchmark 90.81/11.86 % (2761)Refutation not found, incomplete strategy 90.81/11.86 % (2761)------------------------------ 90.81/11.86 % (2761)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 90.81/11.86 % (2761)Termination reason: Refutation not found, incomplete strategy 90.81/11.86 90.81/11.86 % (2761)Memory used [KB]: 19573 90.81/11.86 % (2761)Time elapsed: 1.415 s 90.81/11.86 % (2761)------------------------------ 90.81/11.86 % (2761)------------------------------ 91.22/11.91 % (2778)lrs+1011_2:1_av=off:irw=off:csup=on:e2e=on:cs=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_30 on theBenchmark 100.09/12.98 % (2601)Time limit reached! 100.09/12.98 % (2601)------------------------------ 100.09/12.98 % (2601)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 100.09/12.98 % (2601)Termination reason: Time limit 100.09/12.98 % (2601)Termination phase: Function definition elimination 100.09/12.98 100.09/12.98 % (2601)Memory used [KB]: 3070 100.09/12.98 % (2601)Time elapsed: 4.300 s 100.09/12.98 % (2601)------------------------------ 100.09/12.98 % (2601)------------------------------ 100.37/13.02 % (2779)dis+1011_10_add=large:csup=on:fe=axiom:narr=off:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:afp=0:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_20 on theBenchmark 104.40/13.53 % (2746)Time limit reached! 104.40/13.53 % (2746)------------------------------ 104.40/13.53 % (2746)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 104.40/13.53 % (2746)Termination reason: Time limit 104.40/13.53 % (2746)Termination phase: Function definition elimination 104.40/13.53 104.40/13.53 % (2746)Memory used [KB]: 3070 104.40/13.53 % (2746)Time elapsed: 2.400 s 104.40/13.53 % (2746)------------------------------ 104.40/13.53 % (2746)------------------------------ 104.40/13.58 % (2786)dis+1002_4_add=large:afp=40000:afq=1.5:csup=on:e2e=on:cs=on: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_44 on theBenchmark 107.78/13.97 % (2605)Time limit reached! 107.78/13.97 % (2605)------------------------------ 107.78/13.97 % (2605)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 107.78/13.97 % (2605)Termination reason: Time limit 107.78/13.97 % (2605)Termination phase: Saturation 107.78/13.97 107.78/13.97 % (2605)Memory used [KB]: 43879 107.78/13.97 % (2605)Time elapsed: 13.200 s 107.78/13.97 % (2605)------------------------------ 107.78/13.97 % (2605)------------------------------ 107.78/14.01 % (2793)lrs+11_3:2_add=large:afp=1000:afq=1.1:amm=sco:csup=on:e2e=on:cs=on:anc=none:bd=off:er=filter:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sp=occurrence:urr=on:updr=off_43 on theBenchmark 117.54/15.27 % (2648)Time limit reached! 117.54/15.27 % (2648)------------------------------ 117.54/15.27 % (2648)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 117.54/15.27 % (2648)Termination reason: Time limit 117.54/15.27 % (2648)Termination phase: Saturation 117.54/15.27 117.54/15.27 % (2648)Memory used [KB]: 49892 117.54/15.27 % (2648)Time elapsed: 12.800 s 117.54/15.27 % (2648)------------------------------ 117.54/15.27 % (2648)------------------------------ 118.51/15.31 % (2806)lrs+4_3_av=off:bd=preordered:bs=unit_only:cond=fast:csup=on:e2e=on:cs=on:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:lwlo=on:nm=6:nwc=1:stl=60:sp=occurrence:uhcvi=on_100 on theBenchmark 122.00/15.78 % (2758)Time limit reached! 122.00/15.78 % (2758)------------------------------ 122.00/15.78 % (2758)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 122.00/15.78 % (2758)Termination reason: Time limit 122.00/15.78 % (2758)Termination phase: Function definition elimination 122.00/15.78 122.00/15.78 % (2758)Memory used [KB]: 3070 122.00/15.78 % (2758)Time elapsed: 1.700 s 122.00/15.78 % (2758)------------------------------ 122.00/15.78 % (2758)------------------------------ 122.00/15.82 % (2813)lrs-3_4:1_afp=1000:afq=1.4:csup=on:e2e=on:cs=on: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 133.13/17.15 % (2813)Time limit reached! 133.13/17.15 % (2813)------------------------------ 133.13/17.15 % (2813)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 133.13/17.15 % (2813)Termination reason: Time limit 133.13/17.15 % (2813)Termination phase: Saturation 133.13/17.15 133.13/17.15 % (2813)Memory used [KB]: 38506 133.13/17.15 % (2813)Time elapsed: 1.300 s 133.13/17.15 % (2813)------------------------------ 133.13/17.15 % (2813)------------------------------ 133.13/17.18 % (2820)ott+2_1:1_csup=on:prag=on:cs=on:inj=on:mXXn=1_170 on theBenchmark 138.60/17.82 % (2759)Time limit reached! 138.60/17.82 % (2759)------------------------------ 138.60/17.82 % (2759)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 138.60/17.82 % (2759)Termination reason: Time limit 138.60/17.82 % (2759)Termination phase: Function definition elimination 138.60/17.82 138.60/17.82 % (2759)Memory used [KB]: 3070 138.60/17.82 % (2759)Time elapsed: 2.200 s 138.60/17.82 % (2759)------------------------------ 138.60/17.82 % (2759)------------------------------ 139.06/17.89 % (2821)dis-11_3_add=off:afp=0:fe=axiom: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 142.00/18.26 % (2786)Time limit reached! 142.00/18.26 % (2786)------------------------------ 142.00/18.26 % (2786)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 142.00/18.26 % (2786)Termination reason: Time limit 142.00/18.26 142.00/18.26 % (2786)Memory used [KB]: 35052 142.00/18.26 % (2786)Time elapsed: 4.712 s 142.00/18.26 % (2786)------------------------------ 142.00/18.26 % (2786)------------------------------ 142.12/18.31 % (2828)lrs+1011_5:1_acc=on:fe=axiom:csup=on:inj=on:e2e=on:prag=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:afp=0: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 145.34/18.71 % (2749)Time limit reached! 145.34/18.71 % (2749)------------------------------ 145.34/18.71 % (2749)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 145.34/18.71 % (2749)Termination reason: Time limit 145.34/18.71 % (2749)Termination phase: Function definition elimination 145.34/18.71 145.34/18.71 % (2749)Memory used [KB]: 3070 145.34/18.71 % (2749)Time elapsed: 4.0000 s 145.34/18.71 % (2749)------------------------------ 145.34/18.71 % (2749)------------------------------ 146.02/18.76 % (2841)ott+1002_2_av=off:bd=preordered:narr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_20 on theBenchmark 159.35/20.47 % (2779)Time limit reached! 159.35/20.47 % (2779)------------------------------ 159.35/20.47 % (2779)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 159.35/20.48 % (2779)Termination reason: Time limit 159.35/20.48 % (2779)Termination phase: Function definition elimination 159.35/20.48 159.35/20.48 % (2779)Memory used [KB]: 3070 159.35/20.48 % (2779)Time elapsed: 2.200 s 159.35/20.48 % (2779)------------------------------ 159.35/20.48 % (2779)------------------------------ 160.12/20.53 % (2849)lrs-11_4:1_afp=4000: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 on theBenchmark 167.37/21.48 % (2828)Time limit reached! 167.37/21.48 % (2828)------------------------------ 167.37/21.48 % (2828)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 167.37/21.50 % (2828)Termination reason: Time limit 167.37/21.50 167.37/21.50 % (2828)Memory used [KB]: 36587 167.37/21.50 % (2828)Time elapsed: 3.206 s 167.37/21.50 % (2828)------------------------------ 167.37/21.50 % (2828)------------------------------ 167.37/21.51 % (2770)Refutation not found, non-redundant clauses discarded 167.37/21.51 % (2770)------------------------------ 167.37/21.51 % (2770)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 167.37/21.51 % (2770)Termination reason: Refutation not found, non-redundant clauses discarded 167.37/21.51 167.37/21.51 % (2770)Memory used [KB]: 36332 167.37/21.51 % (2770)Time elapsed: 10.113 s 167.37/21.51 % (2770)------------------------------ 167.37/21.51 % (2770)------------------------------ 168.06/21.54 % (2856)lrs+1011_2:1_av=off:irw=off:ntd=on:csup=on:e2e=on:cs=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_30 on theBenchmark 168.06/21.57 % (2857)lrs+1010_3:2_afr=on:csup=on:ntd=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 170.69/21.88 % (2778)Time limit reached! 170.69/21.88 % (2778)------------------------------ 170.69/21.88 % (2778)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 170.69/21.89 % (2778)Termination reason: Time limit 170.69/21.89 % (2778)Termination phase: Saturation 170.69/21.89 170.69/21.89 % (2778)Memory used [KB]: 5756 170.69/21.89 % (2778)Time elapsed: 3.200 s 170.69/21.89 % (2778)------------------------------ 170.69/21.89 % (2778)------------------------------ 170.69/21.92 % (2858)lrs+1_8:1_av=off:fe=axiom: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_300 on theBenchmark 185.78/23.77 % (2849)Time limit reached! 185.78/23.77 % (2849)------------------------------ 185.78/23.77 % (2849)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 185.78/23.77 % (2849)Termination reason: Time limit 185.78/23.77 185.78/23.77 % (2849)Memory used [KB]: 48229 185.78/23.77 % (2849)Time elapsed: 3.228 s 185.78/23.77 % (2849)------------------------------ 185.78/23.77 % (2849)------------------------------ 186.28/23.83 % (2867)ott+2_1:1_csup=on:narr=off:prag=on:cs=on_110 on theBenchmark 188.67/24.17 % (2821)Time limit reached! 188.67/24.17 % (2821)------------------------------ 188.67/24.17 % (2821)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 188.67/24.17 % (2821)Termination reason: Time limit 188.67/24.17 188.67/24.17 % (2821)Memory used [KB]: 26737 188.67/24.17 % (2821)Time elapsed: 6.314 s 188.67/24.17 % (2821)------------------------------ 188.67/24.17 % (2821)------------------------------ 188.67/24.22 % (2868)lrs+1011_2:1_av=off: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_200 on theBenchmark 194.93/24.93 % (2841)Time limit reached! 194.93/24.93 % (2841)------------------------------ 194.93/24.93 % (2841)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 194.93/24.93 % (2841)Termination reason: Time limit 194.93/24.93 % (2841)Termination phase: Function definition elimination 194.93/24.93 194.93/24.93 % (2841)Memory used [KB]: 3070 194.93/24.93 % (2841)Time elapsed: 2.200 s 194.93/24.93 % (2841)------------------------------ 194.93/24.93 % (2841)------------------------------ 194.93/24.98 % (2875)lrs+1011_5_add=large:csup=on:ntd=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 200.08/25.60 % (2806)Time limit reached! 200.08/25.60 % (2806)------------------------------ 200.08/25.60 % (2806)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 200.08/25.60 % (2806)Termination reason: Time limit 200.08/25.60 200.08/25.60 % (2806)Memory used [KB]: 47973 200.08/25.60 % (2806)Time elapsed: 10.255 s 200.08/25.60 % (2806)------------------------------ 200.08/25.60 % (2806)------------------------------ 200.77/25.66 % (2762)Time limit reached! 200.77/25.66 % (2762)------------------------------ 200.77/25.66 % (2762)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 200.77/25.66 % (2762)Termination reason: Time limit 200.77/25.66 % (2762)Termination phase: Saturation 200.77/25.66 200.77/25.66 % (2762)Memory used [KB]: 29167 200.77/25.66 % (2762)Time elapsed: 15.200 s 200.77/25.66 % (2762)------------------------------ 200.77/25.66 % (2762)------------------------------ 200.77/25.68 % (2888)lrs+1011_5_add=large:csup=on:fe=axiom: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 201.06/25.71 % (2891)lrs+1011_8_add=large:csup=on:fe=axiom: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 203.62/26.05 % (2704)Time limit reached! 203.62/26.05 % (2704)------------------------------ 203.62/26.05 % (2704)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 203.62/26.05 % (2704)Termination reason: Time limit 203.62/26.05 % (2704)Termination phase: Function definition elimination 203.62/26.05 203.62/26.05 % (2704)Memory used [KB]: 3070 203.62/26.05 % (2704)Time elapsed: 7.500 s 203.62/26.05 % (2704)------------------------------ 203.62/26.05 % (2704)------------------------------ 204.05/26.09 % (2896)lrs+1011_8_add=large:csup=on:fe=axiom: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 204.75/26.18 % (2756)Time limit reached! 204.75/26.18 % (2756)------------------------------ 204.75/26.18 % (2756)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 204.75/26.18 % (2756)Termination reason: Time limit 204.75/26.18 % (2756)Termination phase: Function definition elimination 204.75/26.18 204.75/26.18 % (2756)Memory used [KB]: 3070 204.75/26.18 % (2756)Time elapsed: 6.900 s 204.75/26.18 % (2756)------------------------------ 204.75/26.18 % (2756)------------------------------ 204.75/26.19 % (2623)Time limit reached! 204.75/26.19 % (2623)------------------------------ 204.75/26.19 % (2623)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 204.75/26.19 % (2623)Termination reason: Time limit 204.75/26.19 % (2623)Termination phase: Function definition elimination 204.75/26.19 204.75/26.19 % (2623)Memory used [KB]: 3070 204.75/26.19 % (2623)Time elapsed: 7.700 s 204.75/26.19 % (2623)------------------------------ 204.75/26.19 % (2623)------------------------------ 205.06/26.23 % (2897)ott+2_1:1_csup=on:fe=axiom:ntd=on:narr=off:prag=on:cs=on_600 on theBenchmark 205.06/26.23 % (2898)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_650 on theBenchmark 206.25/26.39 % (2891)Refutation not found, incomplete strategy 206.25/26.39 % (2891)------------------------------ 206.25/26.39 % (2891)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 206.25/26.40 % (2891)Termination reason: Refutation not found, incomplete strategy 206.25/26.40 206.25/26.40 % (2891)Memory used [KB]: 15479 206.25/26.40 % (2891)Time elapsed: 0.720 s 206.25/26.40 % (2891)------------------------------ 206.25/26.40 % (2891)------------------------------ 206.25/26.44 % (2899)dis-11_3_add=off:afp=0:fe=axiom:mXXn=2: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_600 on theBenchmark 208.47/26.62 % (2896)Refutation not found, incomplete strategy 208.47/26.62 % (2896)------------------------------ 208.47/26.62 % (2896)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 208.47/26.63 % (2896)Termination reason: Refutation not found, incomplete strategy 208.47/26.63 208.47/26.63 % (2896)Memory used [KB]: 16886 208.47/26.63 % (2896)Time elapsed: 0.552 s 208.47/26.63 % (2896)------------------------------ 208.47/26.63 % (2896)------------------------------ 208.78/26.66 % (2900)lrs+4_3_av=off:bd=preordered:fe=axiom:narr=off:csup=on:ntd=on:inj=on:chr=on:foolp=on:cnfonf=lazy_simp: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_600 on theBenchmark 209.41/26.76 % (2888)Refutation not found, incomplete strategy 209.41/26.76 % (2888)------------------------------ 209.41/26.76 % (2888)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 209.41/26.76 % (2888)Termination reason: Refutation not found, incomplete strategy 209.41/26.76 209.41/26.76 % (2888)Memory used [KB]: 19573 209.41/26.76 % (2888)Time elapsed: 1.094 s 209.41/26.76 % (2888)------------------------------ 209.41/26.76 % (2888)------------------------------ 210.76/26.94 % (2763)Time limit reached! 210.76/26.94 % (2763)------------------------------ 210.76/26.94 % (2763)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 210.76/26.94 % (2763)Termination reason: Time limit 210.76/26.94 % (2763)Termination phase: Function definition elimination 210.76/26.94 210.76/26.94 % (2763)Memory used [KB]: 3070 210.76/26.94 % (2763)Time elapsed: 5.200 s 210.76/26.94 % (2763)------------------------------ 210.76/26.94 % (2763)------------------------------ 212.27/27.11 % (2641)Time limit reached! 212.27/27.11 % (2641)------------------------------ 212.27/27.11 % (2641)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 212.27/27.11 % (2641)Termination reason: Time limit 212.27/27.11 % (2641)Termination phase: Function definition elimination 212.27/27.11 212.27/27.11 % (2641)Memory used [KB]: 3070 212.27/27.11 % (2641)Time elapsed: 7.900 s 212.27/27.11 % (2641)------------------------------ 212.27/27.11 % (2641)------------------------------ 220.67/28.21 % (2793)Time limit reached! 220.67/28.21 % (2793)------------------------------ 220.67/28.21 % (2793)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 220.67/28.21 % (2793)Termination reason: Time limit 220.67/28.21 % (2793)Termination phase: Function definition elimination 220.67/28.21 220.67/28.21 % (2793)Memory used [KB]: 3070 220.67/28.21 % (2793)Time elapsed: 4.500 s 220.67/28.21 % (2793)------------------------------ 220.67/28.21 % (2793)------------------------------ 220.67/28.22 % (2856)Time limit reached! 220.67/28.22 % (2856)------------------------------ 220.67/28.22 % (2856)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 220.67/28.23 % (2856)Termination reason: Time limit 220.67/28.23 % (2856)Termination phase: Saturation 220.67/28.23 220.67/28.23 % (2856)Memory used [KB]: 16375 220.67/28.23 % (2856)Time elapsed: 3.200 s 220.67/28.23 % (2856)------------------------------ 220.67/28.23 % (2856)------------------------------ 230.71/29.42 % (2717)Time limit reached! 230.71/29.42 % (2717)------------------------------ 230.71/29.42 % (2717)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 230.71/29.42 % (2717)Termination reason: Time limit 230.71/29.42 % (2717)Termination phase: Function definition elimination 230.71/29.42 230.71/29.42 % (2717)Memory used [KB]: 3070 230.71/29.42 % (2717)Time elapsed: 7.500 s 230.71/29.42 % (2717)------------------------------ 230.71/29.42 % (2717)------------------------------ 241.71/30.82 % (2607)Time limit reached! 241.71/30.82 % (2607)------------------------------ 241.71/30.82 % (2607)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 241.71/30.82 % (2607)Termination reason: Time limit 241.71/30.82 241.71/30.82 % (2607)Memory used [KB]: 60510 241.71/30.82 % (2607)Time elapsed: 30.395 s 241.71/30.82 % (2607)------------------------------ 241.71/30.82 % (2607)------------------------------ 247.26/31.54 % (2771)Refutation not found, non-redundant clauses discarded 247.26/31.54 % (2771)------------------------------ 247.26/31.54 % (2771)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 247.26/31.54 % (2771)Termination reason: Refutation not found, non-redundant clauses discarded 247.26/31.54 247.26/31.54 % (2771)Memory used [KB]: 64476 247.26/31.54 % (2771)Time elapsed: 20.139 s 247.26/31.54 % (2771)------------------------------ 247.26/31.54 % (2771)------------------------------ 250.74/31.93 % (2609)Time limit reached! 250.74/31.93 % (2609)------------------------------ 250.74/31.93 % (2609)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 250.74/31.93 % (2609)Termination reason: Time limit 250.74/31.93 250.74/31.93 % (2609)Memory used [KB]: 49764 250.74/31.93 % (2609)Time elapsed: 31.524 s 250.74/31.93 % (2609)------------------------------ 250.74/31.93 % (2609)------------------------------ 265.27/33.78 % (2701)Refutation not found, non-redundant clauses discarded 265.27/33.78 % (2701)------------------------------ 265.27/33.78 % (2701)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 265.27/33.78 % (2701)Termination reason: Refutation not found, non-redundant clauses discarded 265.27/33.78 265.27/33.78 % (2701)Memory used [KB]: 115392 265.27/33.78 % (2701)Time elapsed: 30.075 s 265.27/33.78 % (2701)------------------------------ 265.27/33.78 % (2701)------------------------------ 268.88/34.21 % (2712)Time limit reached! 268.88/34.21 % (2712)------------------------------ 268.88/34.21 % (2712)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 268.88/34.22 % (2712)Termination reason: Time limit 268.88/34.22 % (2712)Termination phase: Saturation 268.88/34.22 268.88/34.22 % (2712)Memory used [KB]: 37867 268.88/34.22 % (2712)Time elapsed: 30.200 s 268.88/34.22 % (2712)------------------------------ 268.88/34.22 % (2712)------------------------------ 269.97/34.34 % (2718)Time limit reached! 269.97/34.34 % (2718)------------------------------ 269.97/34.34 % (2718)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 269.97/34.34 % (2718)Termination reason: Time limit 269.97/34.34 % (2718)Termination phase: Function definition elimination 269.97/34.34 269.97/34.34 % (2718)Memory used [KB]: 3070 269.97/34.34 % (2718)Time elapsed: 9.300 s 269.97/34.34 % (2718)------------------------------ 269.97/34.34 % (2718)------------------------------ 271.38/34.51 % (2899)Refutation found. Thanks to Tanya! 271.38/34.51 % SZS status Theorem for theBenchmark 271.38/34.52 % SZS output start Proof for theBenchmark 271.38/34.52 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 271.38/34.52 tff(func_def_4, type, is_of: '$i' -> ('$i' -> '$o') -> '$o'). 271.38/34.52 tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 271.38/34.52 tff(func_def_6, type, all_of: ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'). 271.38/34.52 tff(func_def_7, type, eps: ('$i' -> '$o') -> '$i'). 271.38/34.52 tff(func_def_8, type, in: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_9, type, d_Subq: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_11, type, union: '$i' -> '$i'). 271.38/34.52 tff(func_def_12, type, power: '$i' -> '$i'). 271.38/34.52 tff(func_def_13, type, repl: '$i' -> ('$i' -> '$i') -> '$i'). 271.38/34.52 tff(func_def_14, type, d_Union_closed: '$i' -> '$o'). 271.38/34.52 tff(func_def_15, type, d_Power_closed: '$i' -> '$o'). 271.38/34.52 tff(func_def_16, type, d_Repl_closed: '$i' -> '$o'). 271.38/34.52 tff(func_def_17, type, d_ZF_closed: '$i' -> '$o'). 271.38/34.52 tff(func_def_18, type, univof: '$i' -> '$i'). 271.38/34.52 tff(func_def_19, type, if: '$o' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_20, type, nIn: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_21, type, d_UPair: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_22, type, d_Sing: '$i' -> '$i'). 271.38/34.52 tff(func_def_23, type, binunion: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_24, type, famunion: '$i' -> ('$i' -> '$i') -> '$i'). 271.38/34.52 tff(func_def_25, type, d_Sep: '$i' -> ('$i' -> '$o') -> '$i'). 271.38/34.52 tff(func_def_26, type, d_ReplSep: '$i' -> ('$i' -> '$o') -> ('$i' -> '$i') -> '$i'). 271.38/34.52 tff(func_def_27, type, setminus: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_28, type, d_In_rec_G: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_29, type, d_In_rec: ('$i' -> ('$i' -> '$i') -> '$i') -> '$i' -> '$i'). 271.38/34.52 tff(func_def_30, type, ordsucc: '$i' -> '$i'). 271.38/34.52 tff(func_def_31, type, nat_p: '$i' -> '$o'). 271.38/34.52 tff(func_def_33, type, d_Inj1: '$i' -> '$i'). 271.38/34.52 tff(func_def_34, type, d_Inj0: '$i' -> '$i'). 271.38/34.52 tff(func_def_35, type, d_Unj: '$i' -> '$i'). 271.38/34.52 tff(func_def_36, type, pair: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_37, type, proj0: '$i' -> '$i'). 271.38/34.52 tff(func_def_38, type, proj1: '$i' -> '$i'). 271.38/34.52 tff(func_def_39, type, d_Sigma: '$i' -> ('$i' -> '$i') -> '$i'). 271.38/34.52 tff(func_def_40, type, setprod: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_41, type, ap: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_42, type, pair_p: '$i' -> '$o'). 271.38/34.52 tff(func_def_43, type, d_Pi: '$i' -> ('$i' -> '$i') -> '$i'). 271.38/34.52 tff(func_def_44, type, imp: '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_45, type, d_not: '$o' -> '$o'). 271.38/34.52 tff(func_def_46, type, wel: '$o' -> '$o'). 271.38/34.52 tff(func_def_48, type, l_ec: '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_49, type, d_and: '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_50, type, l_or: '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_51, type, orec: '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_52, type, l_iff: '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_53, type, all: '$i' -> ('$i' -> '$o') -> '$o'). 271.38/34.52 tff(func_def_54, type, non: '$i' -> ('$i' -> '$o') -> '$i' -> '$o'). 271.38/34.52 tff(func_def_55, type, l_some: '$i' -> ('$i' -> '$o') -> '$o'). 271.38/34.52 tff(func_def_56, type, or3: '$o' -> '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_57, type, and3: '$o' -> '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_58, type, ec3: '$o' -> '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_59, type, orec3: '$o' -> '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_60, type, e_is: '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_61, type, amone: '$i' -> ('$i' -> '$o') -> '$o'). 271.38/34.52 tff(func_def_62, type, one: '$i' -> ('$i' -> '$o') -> '$o'). 271.38/34.52 tff(func_def_63, type, ind: '$i' -> ('$i' -> '$o') -> '$i'). 271.38/34.52 tff(func_def_64, type, injective: '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_65, type, image: '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_66, type, tofs: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_67, type, soft: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_68, type, inverse: '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_69, type, surjective: '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_70, type, bijective: '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_71, type, invf: '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_72, type, inj_h: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_73, type, e_in: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 271.38/34.52 tff(func_def_74, type, out: '$i' -> ('$i' -> '$o') -> '$i' -> '$i'). 271.38/34.52 tff(func_def_75, type, d_pair: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_76, type, first: '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_77, type, second: '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_78, type, prop1: '$o' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_79, type, ite: '$o' -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_80, type, wissel_wa: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_81, type, wissel_wb: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_82, type, wissel: '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_83, type, changef: '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_84, type, r_ec: '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_85, type, esti: '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_86, type, empty: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_87, type, nonempty: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_88, type, incl: '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_89, type, st_disj: '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_90, type, nissetprop: '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_91, type, unmore: '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_92, type, ecelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 271.38/34.52 tff(func_def_93, type, ecp: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_94, type, anec: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$o'). 271.38/34.52 tff(func_def_95, type, ect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i'). 271.38/34.52 tff(func_def_96, type, ectset: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 271.38/34.52 tff(func_def_97, type, ectelt: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 271.38/34.52 tff(func_def_98, type, ecect: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i'). 271.38/34.52 tff(func_def_99, type, fixfu: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_100, type, d_10_prop1: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_101, type, prop2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_102, type, indeq: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_103, type, fixfu2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_104, type, d_11_i: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_105, type, indeq2: '$i' -> ('$i' -> '$i' -> '$o') -> '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_107, type, n_is: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_108, type, nis: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_109, type, n_in: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_110, type, n_some: ('$i' -> '$o') -> '$o'). 271.38/34.52 tff(func_def_111, type, n_all: ('$i' -> '$o') -> '$o'). 271.38/34.52 tff(func_def_112, type, n_one: ('$i' -> '$o') -> '$o'). 271.38/34.52 tff(func_def_114, type, cond1: '$i' -> '$o'). 271.38/34.52 tff(func_def_115, type, cond2: '$i' -> '$o'). 271.38/34.52 tff(func_def_116, type, i1_s: ('$i' -> '$o') -> '$i'). 271.38/34.52 tff(func_def_117, type, d_22_prop1: '$i' -> '$o'). 271.38/34.52 tff(func_def_118, type, d_23_prop1: '$i' -> '$o'). 271.38/34.52 tff(func_def_119, type, d_24_prop1: '$i' -> '$o'). 271.38/34.52 tff(func_def_120, type, d_24_prop2: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_121, type, prop3: '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_122, type, prop4: '$i' -> '$o'). 271.38/34.52 tff(func_def_123, type, d_24_g: '$i' -> '$i'). 271.38/34.52 tff(func_def_124, type, plus: '$i' -> '$i'). 271.38/34.52 tff(func_def_125, type, n_pl: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_126, type, d_25_prop1: '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_127, type, d_26_prop1: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_128, type, d_27_prop1: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_129, type, d_28_prop1: '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_130, type, diffprop: '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_131, type, d_29_ii: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_132, type, iii: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_133, type, d_29_prop1: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_134, type, moreis: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_135, type, lessis: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_136, type, lbprop: ('$i' -> '$o') -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_137, type, n_lb: ('$i' -> '$o') -> '$i' -> '$o'). 271.38/34.52 tff(func_def_138, type, min: ('$i' -> '$o') -> '$i' -> '$o'). 271.38/34.52 tff(func_def_139, type, d_428_prop1: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_140, type, d_428_prop2: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_141, type, d_428_prop4: '$i' -> '$o'). 271.38/34.52 tff(func_def_143, type, d_428_g: '$i' -> '$i'). 271.38/34.52 tff(func_def_144, type, times: '$i' -> '$i'). 271.38/34.52 tff(func_def_145, type, n_ts: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_146, type, d_429_prop1: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_147, type, d_430_prop1: '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_148, type, d_431_prop1: '$i' -> '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_149, type, n_mn: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_150, type, d_1to: '$i' -> '$i'). 271.38/34.52 tff(func_def_151, type, outn: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_152, type, inn: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_154, type, singlet_u0: '$i' -> '$i'). 271.38/34.52 tff(func_def_158, type, pair_u0: '$i' -> '$i'). 271.38/34.52 tff(func_def_159, type, pair1type: '$i' -> '$i'). 271.38/34.52 tff(func_def_160, type, pair1: '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_161, type, first1: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_162, type, second1: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_163, type, pair_q0: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_164, type, d_1out: '$i' -> '$i'). 271.38/34.52 tff(func_def_165, type, xout: '$i' -> '$i'). 271.38/34.52 tff(func_def_166, type, left1to: '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_167, type, right1to: '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_168, type, left: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_169, type, right: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_170, type, left_f1: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_171, type, left_f2: '$i' -> '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_173, type, n_fr: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_174, type, num: '$i' -> '$i'). 271.38/34.52 tff(func_def_175, type, den: '$i' -> '$i'). 271.38/34.52 tff(func_def_176, type, n_eq: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_177, type, moref: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_178, type, lessf: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_179, type, moreq: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_180, type, lesseq: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_181, type, n_pf: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_182, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 271.38/34.52 tff(func_def_183, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 271.38/34.52 tff(func_def_184, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 271.38/34.52 tff(func_def_185, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 271.38/34.52 tff(func_def_188, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 271.38/34.52 tff(func_def_189, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 271.38/34.52 tff(func_def_190, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 271.38/34.52 tff(func_def_191, type, vIMP: '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_192, type, vAND: '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_193, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 271.38/34.52 tff(func_def_194, type, vNOT: '$o' -> '$o'). 271.38/34.52 tff(func_def_195, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 271.38/34.52 tff(func_def_196, type, vOR: '$o' -> '$o' -> '$o'). 271.38/34.52 tff(func_def_197, type, diff: !>[X0: $ttype, X1: $ttype]:(X0 -> X1) -> (X0 -> X1) -> X0). 271.38/34.52 tff(func_def_198, type, sK0: ('$i' -> '$o') -> '$i'). 271.38/34.52 tff(func_def_199, type, sK1: '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_200, type, sK2: ('$i' -> '$i') -> ('$i' -> '$i') -> '$i' -> '$i'). 271.38/34.52 tff(func_def_201, type, sK3: '$i' -> '$i'). 271.38/34.52 tff(func_def_202, type, sK4: ('$i' -> '$o') -> '$i'). 271.38/34.52 tff(func_def_203, type, sK5: ('$i' -> '$i') -> ('$i' -> '$i') -> '$i' -> '$i'). 271.38/34.52 tff(func_def_204, type, sK6: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_206, type, sK8: '$i' -> '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_207, type, sK9: ('$i' -> '$o') -> '$i'). 271.38/34.52 tff(func_def_208, type, sK10: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_209, type, sK11: ('$i' -> '$o') -> '$i'). 271.38/34.52 tff(func_def_210, type, sK12: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_211, type, sK13: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_212, type, sK14: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_213, type, sK15: '$i' -> '$i' -> '$o'). 271.38/34.52 tff(func_def_214, type, sK16: ('$i' -> '$o') -> '$i'). 271.38/34.52 tff(func_def_215, type, sK17: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_218, type, sK20: '$i' -> '$i' -> '$i'). 271.38/34.52 tff(func_def_219, type, sK21: '$i' -> '$i'). 271.38/34.52 tff(func_def_220, type, sK22: '$i' -> '$i'). 271.38/34.52 tff(func_def_221, type, sK23: ('$i' -> '$o') -> '$i' -> '$i'). 271.38/34.52 tff(func_def_222, type, sK24: ('$i' -> '$o') -> '$i' -> '$i'). 271.38/34.52 tff(func_def_223, type, sK25: ('$i' -> '$o') -> '$i' -> '$i'). 271.38/34.52 tff(func_def_224, type, sK26: ('$i' -> '$o') -> '$i' -> '$i'). 271.38/34.52 tff(func_def_225, type, sK27: ('$i' -> '$o') -> '$i'). 271.38/34.52 tff(func_def_226, type, sK28: ('$i' -> '$o') -> '$i'). 271.38/34.52 tff(func_def_227, type, sK29: '$i' -> '$i'). 271.38/34.52 tff(func_def_228, type, sK30: '$i' -> '$i'). 271.38/34.52 tff(func_def_229, type, sK31: '$i' -> '$i'). 271.38/34.52 tff(func_def_230, type, sK32: '$i' -> '$i'). 271.38/34.52 tff(func_def_231, type, sK33: '$i' -> '$i'). 271.38/34.52 tff(func_def_232, type, sK34: '$i' -> '$i'). 271.38/34.52 tff(f1,axiom,( 271.38/34.52 is_of = (^[X0 : '$i', X1 : '$i' -> '$o'] : X1 @ X0)), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_is_of)). 271.38/34.52 tff(f2,axiom,( 271.38/34.52 all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_all_of)). 271.38/34.52 tff(f27,axiom,( 271.38/34.52 proj1 = (^[X0 : '$i'] : d_ReplSep @ X0 @ (^[X1 : '$i'] : ? [X2] : d_Inj1 @ X2 = X1) @ d_Unj)), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_proj1)). 271.38/34.52 tff(f30,axiom,( 271.38/34.52 ap = (^[X0 : '$i', X1 : '$i'] : d_ReplSep @ X0 @ (^[X2 : '$i'] : ? [X3] : pair @ X1 @ X3 = X2) @ proj1)), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_ap)). 271.38/34.52 tff(f33,axiom,( 271.38/34.52 imp = (^[X0 : '$o', X1 : '$o'] : X0 => X1)), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_imp)). 271.38/34.52 tff(f39,axiom,( 271.38/34.52 l_or = (^[X0 : '$o'] : imp @ (d_not @ X0))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_l_or)). 271.38/34.52 tff(f49,axiom,( 271.38/34.52 e_is = (^[X0 : '$i', X7 : '$i', X8 : '$i'] : X7 = X8)), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_e_is)). 271.38/34.52 tff(f52,axiom,( 271.38/34.52 ind = (^[X0 : '$i', X1 : '$i' -> '$o'] : eps @ (^[X2 : '$i'] : X1 @ X2 & in @ X2 @ X0))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_ind)). 271.38/34.52 tff(f68,axiom,( 271.38/34.52 ite = (^[X0 : '$o', X1 : '$i', X2 : '$i', X3 : '$i'] : ind @ X1 @ (prop1 @ X0 @ X1 @ X2 @ X3))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_ite)). 271.38/34.52 tff(f95,axiom,( 271.38/34.52 nat = d_Sep @ omega @ (^[X0 : '$i'] : emptyset != X0)), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_nat)). 271.38/34.52 tff(f96,axiom,( 271.38/34.52 e_is @ nat = n_is), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_is)). 271.38/34.52 tff(f99,axiom,( 271.38/34.52 l_some @ nat = n_some), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_some)). 271.38/34.52 tff(f102,axiom,( 271.38/34.52 ordsucc @ emptyset = n_1), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_1)). 271.38/34.52 tff(f185,axiom,( 271.38/34.52 diffprop = (^[X0 : '$i', X1 : '$i', X2 : '$i'] : n_is @ X0 @ (n_pl @ X1 @ X2))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_diffprop)). 271.38/34.52 tff(f186,axiom,( 271.38/34.52 d_29_ii = (^[X0 : '$i', X1 : '$i'] : n_some @ (diffprop @ X0 @ X1))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_d_29_ii)). 271.38/34.52 tff(f187,axiom,( 271.38/34.52 iii = (^[X0 : '$i', X1 : '$i'] : n_some @ (diffprop @ X1 @ X0))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_iii)). 271.38/34.52 tff(f190,axiom,( 271.38/34.52 lessis = (^[X0 : '$i', X1 : '$i'] : l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_lessis)). 271.38/34.52 tff(f205,axiom,( 271.38/34.52 d_1to = (^[X0 : '$i'] : d_Sep @ nat @ (^[X1 : '$i'] : lessis @ X1 @ X0))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_d_1to)). 271.38/34.52 tff(f210,axiom,( 271.38/34.52 n_pl @ n_1 @ n_1 = n_2), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_2)). 271.38/34.52 tff(f211,axiom,( 271.38/34.52 outn @ n_2 @ n_1 = n_1t), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_1t)). 271.38/34.52 tff(f212,axiom,( 271.38/34.52 outn @ n_2 @ n_2 = n_2t), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_2t)). 271.38/34.52 tff(f215,axiom,( 271.38/34.52 pair1 = (^[X0 : '$i', X1 : '$i', X2 : '$i'] : d_Sigma @ (d_1to @ n_2) @ (^[X3 : '$i'] : ite @ (e_is @ (d_1to @ n_2) @ X3 @ n_1t) @ X0 @ X1 @ X2))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_pair1)). 271.38/34.52 tff(f216,axiom,( 271.38/34.52 first1 = (^[X0 : '$i', X1 : '$i'] : ap @ X1 @ n_1t)), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_first1)). 271.38/34.52 tff(f217,axiom,( 271.38/34.52 second1 = (^[X0 : '$i', X1 : '$i'] : ap @ X1 @ n_2t)), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_second1)). 271.38/34.52 tff(f228,axiom,( 271.38/34.52 pair1 @ nat = n_fr), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_fr)). 271.38/34.52 tff(f229,axiom,( 271.38/34.52 first1 @ nat = num), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_num)). 271.38/34.52 tff(f230,axiom,( 271.38/34.52 second1 @ nat = den), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_den)). 271.38/34.52 tff(f232,axiom,( 271.38/34.52 moref = (^[X0 : '$i', X1 : '$i'] : d_29_ii @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_moref)). 271.38/34.52 tff(f233,axiom,( 271.38/34.52 lessf = (^[X0 : '$i', X1 : '$i'] : iii @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_lessf)). 271.38/34.52 tff(f236,axiom,( 271.38/34.52 n_pf = (^[X0 : '$i', X1 : '$i'] : n_fr @ (n_pl @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0))) @ (n_ts @ (den @ X0) @ (den @ X1)))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_pf)). 271.38/34.52 tff(f294,conjecture,( 271.38/34.52 all_of @ (^[X0 : '$i'] : in @ X0 @ frac) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ frac) @ (^[X1 : '$i'] : lessf @ X0 @ (n_pf @ X0 @ X1)))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz60a)). 271.38/34.52 tff(f295,negated_conjecture,( 271.38/34.52 ~all_of @ (^[X0 : '$i'] : in @ X0 @ frac) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ frac) @ (^[X1 : '$i'] : lessf @ X0 @ (n_pf @ X0 @ X1)))), 271.38/34.52 inference(negated_conjecture,[],[f294])). 271.38/34.52 tff(f386,axiom,( 271.38/34.52 all_of @ (^[X0 : '$i'] : in @ X0 @ frac) @ (^[X0 : '$i'] : all_of @ (^[X1 : '$i'] : in @ X1 @ frac) @ (^[X1 : '$i'] : moref @ (n_pf @ X0 @ X1) @ X0))), 271.38/34.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz60)). 271.38/34.52 tff(f406,plain,( 271.38/34.52 ~all_of @ (^[X0 : '$i'] : in @ X0 @ frac) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ frac) @ (^[X3 : '$i'] : lessf @ X1 @ (n_pf @ X1 @ X3)))), 271.38/34.52 inference(rectify,[],[f295])). 271.38/34.52 tff(f407,plain,( 271.38/34.52 ~(all_of @ (cCOMB @ in @ frac) @ (bCOMB @ (all_of @ (cCOMB @ in @ frac)) @ (sCOMB @ (bCOMB @ bCOMB @ lessf) @ n_pf)) = $true)), 271.38/34.52 inference(fool_elimination,[],[f406])). 271.38/34.52 tff(f491,plain,( 271.38/34.52 kCOMB @ (cCOMB @ ap @ n_2t) = second1), 271.38/34.52 inference(fool_elimination,[],[f217])). 271.38/34.52 tff(f492,plain,( 271.38/34.52 kCOMB @ (cCOMB @ ap @ n_1t) = first1), 271.38/34.52 inference(fool_elimination,[],[f216])). 271.38/34.52 tff(f500,plain,( 271.38/34.52 bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (d_1to @ n_2)))) @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ ite @ (cCOMB @ (e_is @ (d_1to @ n_2)) @ n_1t))))) = pair1), 271.38/34.52 inference(fool_elimination,[],[f215])). 271.38/34.53 tff(f508,plain,( 271.38/34.53 bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ ind))) @ prop1 = ite), 271.38/34.53 inference(fool_elimination,[],[f68])). 271.38/34.53 tff(f526,plain,( 271.38/34.53 cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj = proj1), 271.38/34.53 inference(fool_elimination,[],[f27])). 271.38/34.53 tff(f530,plain,( 271.38/34.53 cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ n_is)) @ n_pl = diffprop), 271.38/34.53 inference(fool_elimination,[],[f185])). 271.38/34.53 tff(f533,plain,( 271.38/34.53 bCOMB @ imp @ d_not = l_or), 271.38/34.53 inference(fool_elimination,[],[f39])). 271.38/34.53 tff(f543,plain,( 271.38/34.53 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_fr) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_pl) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ num)) @ den))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ num)) @ den)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ den)) @ den) = n_pf), 271.38/34.53 inference(fool_elimination,[],[f236])). 271.38/34.53 tff(f545,plain,( 271.38/34.53 bCOMB @ (d_Sep @ nat) @ (cCOMB @ lessis) = d_1to), 271.38/34.53 inference(fool_elimination,[],[f205])). 271.38/34.53 tff(f548,plain,( 271.38/34.53 ind = (^[X0 : '$i', X1 : '$i' -> '$o'] : eps @ (^[X2 : '$i'] : X1 @ X2 & in @ X2 @ X0))), 271.38/34.53 inference(rectify,[],[f52])). 271.38/34.53 tff(f549,plain,( 271.38/34.53 bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))) = ind), 271.38/34.53 inference(fool_elimination,[],[f548])). 271.38/34.53 tff(f550,plain,( 271.38/34.53 imp = (^[X0 : '$o', X1 : '$o'] : X0 => X1)), 271.38/34.53 inference(rectify,[],[f33])). 271.38/34.53 tff(f551,plain,( 271.38/34.53 imp = vIMP), 271.38/34.53 inference(fool_elimination,[],[f550])). 271.38/34.53 tff(f552,plain,( 271.38/34.53 is_of = cCOMB @ iCOMB), 271.38/34.53 inference(fool_elimination,[],[f1])). 271.38/34.53 tff(f554,plain,( 271.38/34.53 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ d_29_ii) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ num)) @ den))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ num)) @ den) = moref), 271.38/34.53 inference(fool_elimination,[],[f232])). 271.38/34.53 tff(f556,plain,( 271.38/34.53 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ iii) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ num)) @ den))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ num)) @ den) = lessf), 271.38/34.53 inference(fool_elimination,[],[f233])). 271.38/34.53 tff(f557,plain,( 271.38/34.53 e_is = (^[X0 : '$i', X1 : '$i', X2 : '$i'] : X1 = X2)), 271.38/34.53 inference(rectify,[],[f49])). 271.38/34.53 tff(f558,plain,( 271.38/34.53 kCOMB @ vEQ('$i') = e_is), 271.38/34.53 inference(fool_elimination,[],[f557])). 271.38/34.53 tff(f566,plain,( 271.38/34.53 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ l_or) @ iii)) @ n_is = lessis), 271.38/34.53 inference(fool_elimination,[],[f190])). 271.38/34.53 tff(f568,plain,( 271.38/34.53 bCOMB @ (bCOMB @ n_some) @ diffprop = d_29_ii), 271.38/34.53 inference(fool_elimination,[],[f186])). 271.38/34.53 tff(f569,plain,( 271.38/34.53 bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop) = iii), 271.38/34.53 inference(fool_elimination,[],[f187])). 271.38/34.53 tff(f570,plain,( 271.38/34.53 cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ proj1 = ap), 271.38/34.53 inference(fool_elimination,[],[f30])). 271.38/34.53 tff(f576,plain,( 271.38/34.53 d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)) = nat), 271.38/34.53 inference(fool_elimination,[],[f95])). 271.38/34.53 tff(f577,plain,( 271.38/34.53 all_of = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : ! [X2] : (is_of @ X2 @ X0 => X1 @ X2))), 271.38/34.53 inference(rectify,[],[f2])). 271.38/34.53 tff(f578,plain,( 271.38/34.53 bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of), 271.38/34.53 inference(fool_elimination,[],[f577])). 271.38/34.53 tff(f703,plain,( 271.38/34.53 all_of @ (^[X0 : '$i'] : in @ X0 @ frac) @ (^[X1 : '$i'] : all_of @ (^[X2 : '$i'] : in @ X2 @ frac) @ (^[X3 : '$i'] : moref @ (n_pf @ X1 @ X3) @ X1))), 271.38/34.53 inference(rectify,[],[f386])). 271.38/34.53 tff(f704,plain,( 271.38/34.53 (all_of @ (cCOMB @ in @ frac) @ (bCOMB @ (all_of @ (cCOMB @ in @ frac)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ moref) @ n_pf)) @ iCOMB)) = $true)), 271.38/34.53 inference(fool_elimination,[],[f703])). 271.38/34.53 tff(f1036,plain,( 271.38/34.53 (all_of @ (cCOMB @ in @ frac) @ (bCOMB @ (all_of @ (cCOMB @ in @ frac)) @ (sCOMB @ (bCOMB @ bCOMB @ lessf) @ n_pf)) != $true)), 271.38/34.53 inference(flattening,[],[f407])). 271.38/34.53 tff(f1080,plain,( 271.38/34.53 (all_of @ (cCOMB @ in @ frac) @ (bCOMB @ (all_of @ (cCOMB @ in @ frac)) @ (sCOMB @ (bCOMB @ bCOMB @ lessf) @ n_pf)) != $true)), 271.38/34.53 inference(cnf_transformation,[],[f1036])). 271.38/34.53 tff(f1088,plain,( 271.38/34.53 (all_of @ (cCOMB @ in @ frac) @ (bCOMB @ (all_of @ (cCOMB @ in @ frac)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ moref) @ n_pf)) @ iCOMB)) = $true)), 271.38/34.53 inference(cnf_transformation,[],[f704])). 271.38/34.53 tff(f1089,plain,( 271.38/34.53 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_fr) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_pl) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ num)) @ den))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ num)) @ den)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ den)) @ den) = n_pf), 271.38/34.53 inference(cnf_transformation,[],[f543])). 271.38/34.53 tff(f1103,plain,( 271.38/34.53 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ iii) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ num)) @ den))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ num)) @ den) = lessf), 271.38/34.53 inference(cnf_transformation,[],[f556])). 271.38/34.53 tff(f1164,plain,( 271.38/34.53 pair1 @ nat = n_fr), 271.38/34.53 inference(cnf_transformation,[],[f228])). 271.38/34.53 tff(f1183,plain,( 271.38/34.53 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ d_29_ii) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ num)) @ den))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ num)) @ den) = moref), 271.38/34.53 inference(cnf_transformation,[],[f554])). 271.38/34.53 tff(f1185,plain,( 271.38/34.53 second1 @ nat = den), 271.38/34.53 inference(cnf_transformation,[],[f230])). 271.38/34.53 tff(f1186,plain,( 271.38/34.53 first1 @ nat = num), 271.38/34.53 inference(cnf_transformation,[],[f229])). 271.38/34.53 tff(f1227,plain,( 271.38/34.53 l_some @ nat = n_some), 271.38/34.53 inference(cnf_transformation,[],[f99])). 271.38/34.53 tff(f1241,plain,( 271.38/34.53 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ l_or) @ iii)) @ n_is = lessis), 271.38/34.53 inference(cnf_transformation,[],[f566])). 271.38/34.53 tff(f1243,plain,( 271.38/34.53 bCOMB @ imp @ d_not = l_or), 271.38/34.53 inference(cnf_transformation,[],[f533])). 271.38/34.53 tff(f1255,plain,( 271.38/34.53 ordsucc @ emptyset = n_1), 271.38/34.53 inference(cnf_transformation,[],[f102])). 271.38/34.53 tff(f1259,plain,( 271.38/34.53 bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (d_1to @ n_2)))) @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ ite @ (cCOMB @ (e_is @ (d_1to @ n_2)) @ n_1t))))) = pair1), 271.38/34.53 inference(cnf_transformation,[],[f500])). 271.38/34.53 tff(f1267,plain,( 271.38/34.53 kCOMB @ vEQ('$i') = e_is), 271.38/34.53 inference(cnf_transformation,[],[f558])). 271.38/34.53 tff(f1268,plain,( 271.38/34.53 e_is @ nat = n_is), 271.38/34.53 inference(cnf_transformation,[],[f96])). 271.38/34.53 tff(f1269,plain,( 271.38/34.53 kCOMB @ (cCOMB @ ap @ n_2t) = second1), 271.38/34.53 inference(cnf_transformation,[],[f491])). 271.38/34.53 tff(f1270,plain,( 271.38/34.53 kCOMB @ (cCOMB @ ap @ n_1t) = first1), 271.38/34.53 inference(cnf_transformation,[],[f492])). 271.38/34.53 tff(f1287,plain,( 271.38/34.53 bCOMB @ (bCOMB @ n_some) @ (cCOMB @ diffprop) = iii), 271.38/34.53 inference(cnf_transformation,[],[f569])). 271.38/34.53 tff(f1288,plain,( 271.38/34.53 bCOMB @ (bCOMB @ n_some) @ diffprop = d_29_ii), 271.38/34.53 inference(cnf_transformation,[],[f568])). 271.38/34.53 tff(f1289,plain,( 271.38/34.53 cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ n_is)) @ n_pl = diffprop), 271.38/34.53 inference(cnf_transformation,[],[f530])). 271.38/34.53 tff(f1295,plain,( 271.38/34.53 imp = vIMP), 271.38/34.53 inference(cnf_transformation,[],[f551])). 271.38/34.53 tff(f1307,plain,( 271.38/34.53 outn @ n_2 @ n_1 = n_1t), 271.38/34.53 inference(cnf_transformation,[],[f211])). 271.38/34.53 tff(f1308,plain,( 271.38/34.53 bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ ind))) @ prop1 = ite), 271.38/34.53 inference(cnf_transformation,[],[f508])). 271.38/34.53 tff(f1312,plain,( 271.38/34.53 n_pl @ n_1 @ n_1 = n_2), 271.38/34.53 inference(cnf_transformation,[],[f210])). 271.38/34.53 tff(f1313,plain,( 271.38/34.53 outn @ n_2 @ n_2 = n_2t), 271.38/34.53 inference(cnf_transformation,[],[f212])). 271.38/34.53 tff(f1314,plain,( 271.38/34.53 bCOMB @ (d_Sep @ nat) @ (cCOMB @ lessis) = d_1to), 271.38/34.53 inference(cnf_transformation,[],[f545])). 271.38/34.53 tff(f1319,plain,( 271.38/34.53 d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)) = nat), 271.38/34.53 inference(cnf_transformation,[],[f576])). 271.38/34.53 tff(f1320,plain,( 271.38/34.53 cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ proj1 = ap), 271.38/34.53 inference(cnf_transformation,[],[f570])). 271.38/34.53 tff(f1322,plain,( 271.38/34.53 cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj = proj1), 271.38/34.53 inference(cnf_transformation,[],[f526])). 271.38/34.53 tff(f1336,plain,( 271.38/34.53 bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ is_of))) = all_of), 271.38/34.53 inference(cnf_transformation,[],[f578])). 271.38/34.53 tff(f1352,plain,( 271.38/34.53 bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))) = ind), 271.38/34.53 inference(cnf_transformation,[],[f549])). 271.38/34.53 tff(f1359,plain,( 271.38/34.53 is_of = cCOMB @ iCOMB), 271.38/34.53 inference(cnf_transformation,[],[f552])). 271.38/34.53 tff(f1366,plain,( 271.38/34.53 kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) = n_is), 271.38/34.53 inference(definition_unfolding,[],[f1268,f1267,f1319])). 271.38/34.53 tff(f1367,plain,( 271.38/34.53 cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl = diffprop), 271.38/34.53 inference(definition_unfolding,[],[f1289,f1366])). 271.38/34.53 tff(f1368,plain,( 271.38/34.53 l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) = n_some), 271.38/34.53 inference(definition_unfolding,[],[f1227,f1319])). 271.38/34.53 tff(f1369,plain,( 271.38/34.53 bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl) = d_29_ii), 271.38/34.53 inference(definition_unfolding,[],[f1288,f1368,f1367])). 271.38/34.53 tff(f1370,plain,( 271.38/34.53 bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl)) = iii), 271.38/34.53 inference(definition_unfolding,[],[f1287,f1368,f1367])). 271.38/34.53 tff(f1371,plain,( 271.38/34.53 bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) = all_of), 271.38/34.53 inference(definition_unfolding,[],[f1336,f1359])). 271.38/34.53 tff(f1372,plain,( 271.38/34.53 bCOMB @ vIMP @ d_not = l_or), 271.38/34.53 inference(definition_unfolding,[],[f1243,f1295])). 271.38/34.53 tff(f1374,plain,( 271.38/34.53 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) = lessis), 271.38/34.53 inference(definition_unfolding,[],[f1241,f1372,f1370,f1366])). 271.38/34.53 tff(f1378,plain,( 271.38/34.53 cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj) = ap), 271.38/34.53 inference(definition_unfolding,[],[f1320,f1322])). 271.38/34.53 tff(f1379,plain,( 271.38/34.53 n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset) = n_2), 271.38/34.53 inference(definition_unfolding,[],[f1312,f1255,f1255])). 271.38/34.53 tff(f1380,plain,( 271.38/34.53 outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset) = n_1t), 271.38/34.53 inference(definition_unfolding,[],[f1307,f1379,f1255])). 271.38/34.53 tff(f1381,plain,( 271.38/34.53 kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) = first1), 271.38/34.53 inference(definition_unfolding,[],[f1270,f1378,f1380])). 271.38/34.53 tff(f1382,plain,( 271.38/34.53 kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) = num), 271.38/34.53 inference(definition_unfolding,[],[f1186,f1381,f1319])). 271.38/34.53 tff(f1383,plain,( 271.38/34.53 outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = n_2t), 271.38/34.53 inference(definition_unfolding,[],[f1313,f1379,f1379])). 271.38/34.53 tff(f1384,plain,( 271.38/34.53 kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) = second1), 271.38/34.53 inference(definition_unfolding,[],[f1269,f1378,f1383])). 271.38/34.54 tff(f1385,plain,( 271.38/34.54 kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) = den), 271.38/34.54 inference(definition_unfolding,[],[f1185,f1384,f1319])). 271.38/34.54 tff(f1386,plain,( 271.38/34.54 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) = moref), 271.38/34.54 inference(definition_unfolding,[],[f1183,f1369,f1382,f1385,f1382,f1385])). 271.38/34.54 tff(f1387,plain,( 271.38/34.54 bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) = d_1to), 271.38/34.54 inference(definition_unfolding,[],[f1314,f1319,f1374])). 271.38/34.54 tff(f1391,plain,( 271.38/34.54 bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1 = ite), 271.38/34.54 inference(definition_unfolding,[],[f1308,f1352])). 271.38/34.54 tff(f1392,plain,( 271.38/34.54 bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ (kCOMB @ vEQ('$i') @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))))) = pair1), 271.38/34.54 inference(definition_unfolding,[],[f1259,f1387,f1379,f1391,f1267,f1387,f1379,f1380])). 271.38/34.54 tff(f1396,plain,( 271.38/34.54 bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ (kCOMB @ vEQ('$i') @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) = n_fr), 271.38/34.54 inference(definition_unfolding,[],[f1164,f1392,f1319])). 271.38/34.54 tff(f1397,plain,( 271.38/34.54 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) = lessf), 271.38/34.54 inference(definition_unfolding,[],[f1103,f1370,f1382,f1385,f1382,f1385])). 271.38/34.54 tff(f1400,plain,( 271.38/34.54 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ (kCOMB @ vEQ('$i') @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_pl) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) = n_pf), 271.38/34.54 inference(definition_unfolding,[],[f1089,f1396,f1382,f1385,f1382,f1385,f1385,f1385])). 271.38/34.54 tff(f1418,plain,( 271.38/34.54 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ frac) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ frac)) @ (sCOMB @ (bCOMB @ bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ (kCOMB @ vEQ('$i') @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_pl) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) != $true)), 271.38/34.54 inference(definition_unfolding,[],[f1080,f1371,f1371,f1397,f1400])). 271.38/34.54 tff(f1424,plain,( 271.38/34.54 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ frac) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ (cCOMB @ iCOMB)))) @ (cCOMB @ in @ frac)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ (kCOMB @ vEQ('$i') @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_pl) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ iCOMB)) = $true)), 271.38/34.54 inference(definition_unfolding,[],[f1088,f1371,f1371,f1386,f1400])). 271.38/34.54 tff(f1688,plain,( 271.38/34.54 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ frac) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ frac)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ (kCOMB @ vEQ('$i') @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_pl) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ iCOMB)) = $true)), 271.38/34.54 inference(combinator_normalisation,[],[f1424])). 271.38/34.55 tff(f1689,plain,( 271.38/34.55 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ frac) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ frac)) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ (kCOMB @ vEQ('$i') @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_pl) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ iCOMB)) = $true)), 271.38/34.56 inference(combinator_normalisation,[],[f1688])). 271.38/34.56 tff(f1690,plain,( 271.38/34.56 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_pl) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))))) @ iCOMB))) = $true)), 271.38/34.56 inference(combinator_demodulation,[],[f1689])). 271.38/34.56 tff(f1691,plain,( 271.38/34.56 ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)))) @ (sCOMB @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_pl) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))))) @ iCOMB)) @ X1 = $true)) )), 271.38/34.56 inference(pi_clausification,[],[f1690])). 271.38/34.56 tff(f1692,plain,( 271.38/34.56 ( ! [X1] : ((vIMP @ (in @ X1 @ frac) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)) @ (cCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (sCOMB @ (bCOMB @ n_pl @ (bCOMB @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ X1))) = $true)) )), 271.38/34.56 inference(combinator_demodulation,[],[f1691])). 271.38/34.56 tff(f1693,plain,( 271.38/34.56 ( ! [X1] : ((in @ X1 @ frac = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)) @ (cCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (sCOMB @ (bCOMB @ n_pl @ (bCOMB @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ X1)) = $true)) )), 271.38/34.56 inference(binary_proxy_clausification,[],[f1692])). 271.38/34.56 tff(f1694,plain,( 271.38/34.56 ( ! [X2,X1] : ((in @ X1 @ frac = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)) @ (cCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (sCOMB @ (bCOMB @ n_pl @ (bCOMB @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ X1) @ X2 = $true)) )), 271.38/34.56 inference(pi_clausification,[],[f1693])). 271.38/34.57 tff(f1695,plain,( 271.38/34.57 ( ! [X2,X1] : ((in @ X1 @ frac = $false) | (vIMP @ (in @ X2 @ frac) @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (bCOMB @ (vEQ('$i') @ (n_ts @ (d_ReplSep @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_pl @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X2 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (n_ts @ (d_ReplSep @ X2 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X2 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)))) @ (n_pl @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_pl @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X2 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (n_ts @ (d_ReplSep @ X2 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X2 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)))))) = $true)) )), 271.99/34.58 inference(combinator_demodulation,[],[f1694])). 271.99/34.58 tff(f1696,plain,( 271.99/34.58 ( ! [X2,X1] : ((l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (bCOMB @ (vEQ('$i') @ (n_ts @ (d_ReplSep @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_pl @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X2 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (n_ts @ (d_ReplSep @ X2 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X2 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)))) @ (n_pl @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_pl @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X2 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (n_ts @ (d_ReplSep @ X2 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (n_ts @ (d_ReplSep @ X1 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ X2 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) = $true) | (in @ X2 @ frac = $false) | (in @ X1 @ frac = $false)) )), 271.99/34.58 inference(binary_proxy_clausification,[],[f1695])). 271.99/34.58 tff(f3880,plain,( 271.99/34.58 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ frac) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ iCOMB)) @ (cCOMB @ in @ frac)) @ (sCOMB @ (bCOMB @ bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ (kCOMB @ vEQ('$i') @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_pl) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) != $true)), 271.99/34.58 inference(combinator_normalisation,[],[f1418])). 271.99/34.58 tff(f3881,plain,( 271.99/34.58 (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ frac) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i')) @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ in @ frac)) @ (sCOMB @ (bCOMB @ bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ (bCOMB @ cCOMB) @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ (kCOMB @ vEQ('$i') @ (bCOMB @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ n_pl))))) @ (kCOMB @ vEQ('$i') @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_pl) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))) @ (kCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) != $true)), 271.99/34.58 inference(combinator_normalisation,[],[f3880])). 271.99/34.58 tff(f3882,plain,( 271.99/34.58 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)))) @ (sCOMB @ (bCOMB @ bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_pl) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))))) != $true)), 271.99/34.58 inference(combinator_demodulation,[],[f3881])). 271.99/34.59 tff(f3883,plain,( 271.99/34.59 (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)) @ (bCOMB @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)))) @ (sCOMB @ (bCOMB @ bCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl)))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))))))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ n_pl) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (bCOMB @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))))) @ sK18 = $false)), 271.99/34.59 inference(sigma_clausification,[],[f3882])). 271.99/34.59 tff(f3884,plain,( 271.99/34.59 (vIMP @ (in @ sK18 @ frac) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))) @ (bCOMB @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (sCOMB @ (bCOMB @ n_pl @ (bCOMB @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))))) = $false)), 271.99/34.59 inference(combinator_demodulation,[],[f3883])). 271.99/34.59 tff(f3885,plain,( 271.99/34.59 (in @ sK18 @ frac = $true)), 271.99/34.59 inference(binary_proxy_clausification,[],[f3884])). 271.99/34.59 tff(f3886,plain,( 271.99/34.59 (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))) @ (bCOMB @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (sCOMB @ (bCOMB @ n_pl @ (bCOMB @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))))) = $false)), 271.99/34.59 inference(binary_proxy_clausification,[],[f3884])). 271.99/34.59 tff(f3887,plain,( 271.99/34.59 (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ in @ frac)) @ (bCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))) @ (bCOMB @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)))) @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (bCOMB @ cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))))) @ (sCOMB @ (bCOMB @ n_pl @ (bCOMB @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (bCOMB @ n_ts @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (cCOMB @ (cCOMB @ (bCOMB @ cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ d_ReplSep) @ (bCOMB @ (bCOMB @ vSIGMA('$i')) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ vEQ('$i')) @ pair))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ sK19 = $false)), 271.99/34.59 inference(sigma_clausification,[],[f3886])). 271.99/34.59 tff(f3888,plain,( 271.99/34.59 (vIMP @ (in @ sK19 @ frac) @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (bCOMB @ (vEQ('$i') @ (n_ts @ (d_ReplSep @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_pl @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK19 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (n_ts @ (d_ReplSep @ sK19 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK19 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)))) @ (n_pl @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_pl @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK19 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (n_ts @ (d_ReplSep @ sK19 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK19 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)))))) = $false)), 271.99/34.59 inference(combinator_demodulation,[],[f3887])). 271.99/34.59 tff(f3889,plain,( 271.99/34.59 (in @ sK19 @ frac = $true)), 271.99/34.59 inference(binary_proxy_clausification,[],[f3888])). 271.99/34.59 tff(f3890,plain,( 271.99/34.59 (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (bCOMB @ (vEQ('$i') @ (n_ts @ (d_ReplSep @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_pl @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK19 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (n_ts @ (d_ReplSep @ sK19 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK19 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)))) @ (n_pl @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ (d_Sigma @ (d_Sep @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP @ d_not)) @ (bCOMB @ (bCOMB @ (l_some @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset))))) @ (cCOMB @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ vEQ('$i'))) @ n_pl))))) @ vEQ('$i')) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))) @ (cCOMB @ (cCOMB @ (cCOMB @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ bCOMB @ (bCOMB @ bCOMB @ (bCOMB @ (bCOMB @ eps) @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ in))))))) @ prop1) @ (cCOMB @ vEQ('$i') @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))) @ (d_Sep @ omega @ (bCOMB @ vNOT @ (vEQ('$i') @ emptyset)))) @ (n_pl @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK19 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))) @ (n_ts @ (d_ReplSep @ sK19 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (n_ts @ (d_ReplSep @ sK18 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj)) @ (d_ReplSep @ sK19 @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ (pair @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ (cCOMB @ (cCOMB @ d_ReplSep @ (bCOMB @ vSIGMA('$i') @ (cCOMB @ (bCOMB @ vEQ('$i') @ d_Inj1)))) @ d_Unj))))) = $false)), 271.99/34.60 inference(binary_proxy_clausification,[],[f3888])). 271.99/34.60 tff(f9956,plain,( 271.99/34.60 ($false = $true) | (in @ sK19 @ frac = $false) | (in @ sK18 @ frac = $false)), 271.99/34.60 inference(superposition,[],[f3890,f1696])). 271.99/34.60 tff(f10455,plain,( 271.99/34.60 (in @ sK19 @ frac = $false) | (in @ sK18 @ frac = $false)), 271.99/34.60 inference(trivial_inequality_removal,[],[f9956])). 271.99/34.60 tff(f10465,plain,( 271.99/34.60 ($false = $true) | (in @ sK19 @ frac = $false)), 271.99/34.60 inference(forward_demodulation,[],[f10455,f3885])). 271.99/34.60 tff(f10466,plain,( 271.99/34.60 (in @ sK19 @ frac = $false)), 271.99/34.60 inference(trivial_inequality_removal,[],[f10465])). 271.99/34.60 tff(f10670,plain,( 271.99/34.60 ($false = $true)), 271.99/34.60 inference(backward_demodulation,[],[f10466,f3889])). 271.99/34.60 tff(f10689,plain,( 271.99/34.60 $false), 271.99/34.60 inference(trivial_inequality_removal,[],[f10670])). 271.99/34.60 % SZS output end Proof for theBenchmark 271.99/34.60 % (2899)------------------------------ 271.99/34.60 % (2899)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 271.99/34.60 % (2899)Termination reason: Refutation 271.99/34.60 271.99/34.60 % (2899)Memory used [KB]: 38250 271.99/34.60 % (2899)Time elapsed: 8.125 s 271.99/34.60 % (2899)------------------------------ 271.99/34.60 % (2899)------------------------------ 271.99/34.61 % (2580)Success in time 34.241 s 271.99/34.62 EOF