0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : vampire_hol --schedule thf_2019 --mode portfolio --time_limit %ds %s 0.12/0.34 % Computer : n004.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 180 0.12/0.34 % DateTime : Thu Aug 29 14:49:23 EDT 2019 0.12/0.34 % CPUTime : 0.20/0.41 % lrs-3_4:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:afp=1000:afq=1.4: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 1.54/1.70 % Time limit reached! 1.54/1.70 % ------------------------------ 1.54/1.70 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 1.54/1.70 % Termination reason: Time limit 1.54/1.70 % Termination phase: Saturation 1.54/1.70 1.54/1.70 % Memory used [KB]: 23283 1.54/1.70 % Time elapsed: 1.300 s 1.54/1.70 % ------------------------------ 1.54/1.70 % ------------------------------ 1.56/1.77 % lrs+1011_5:4_anc=none:bsr=on:ccuc=small_ones:irw=on:stl=300d:fde=unused:holscev=on:sp=reverse_arity:sos=on:foolp=on:acc=on:afp=10000:gs=on:nwc=1.2:holcelim=on:updr=off:sac=on:afea=on:newcnf=on:gsem=off:cond=on:add=large:en=on:combelim=inference_rules:gsaa=from_current:amm=off:nm=2:afq=2:cunif=on_38 on theBenchmark 5.67/5.76 % Time limit reached! 5.67/5.76 % ------------------------------ 5.67/5.76 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 5.67/5.76 % Termination reason: Time limit 5.67/5.76 % Termination phase: Saturation 5.67/5.76 5.67/5.76 % Memory used [KB]: 53218 5.67/5.76 % Time elapsed: 4.0000 s 5.67/5.76 % ------------------------------ 5.67/5.76 % ------------------------------ 5.67/5.83 % ott+11_16_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:av=off:gs=on:gsem=on:irw=on:lma=on:nm=64:newcnf=on:nwc=1.3:sas=z3:sp=reverse_arity_16 on theBenchmark 7.52/7.62 % Time limit reached! 7.52/7.62 % ------------------------------ 7.52/7.62 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 7.52/7.62 % Termination reason: Time limit 7.52/7.62 % Termination phase: Saturation 7.52/7.62 7.52/7.62 % Memory used [KB]: 25713 7.52/7.62 % Time elapsed: 1.800 s 7.52/7.62 % ------------------------------ 7.52/7.62 % ------------------------------ 7.57/7.65 % lrs+1011_7_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=40000:nwc=2.5:holcelim=on:flr=on:updr=off:afea=on:cond=on:add=large:en=on:combelim=both:amm=off:nm=4:fsr=off:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 8.08/8.15 % Time limit reached! 8.08/8.15 % ------------------------------ 8.08/8.15 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 8.08/8.15 % Termination reason: Time limit 8.08/8.15 % Termination phase: Saturation 8.08/8.15 8.08/8.15 % Memory used [KB]: 19189 8.08/8.15 % Time elapsed: 0.500 s 8.08/8.15 % ------------------------------ 8.08/8.15 % ------------------------------ 8.12/8.18 % ott+11_16_sas=z3:irw=on:e2e=off:holscev=on:sp=reverse_arity:foolp=on:addc=user:lma=on:gs=on:nwc=1.3:holcelim=on:afea=on:newcnf=on:gsem=on:en=on:combelim=inference_rules:nm=64:av=off_16 on theBenchmark 9.95/9.97 % Time limit reached! 9.95/9.97 % ------------------------------ 9.95/9.97 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 9.95/9.97 % Termination reason: Time limit 9.95/9.97 % Termination phase: Saturation 9.95/9.97 9.95/9.97 % Memory used [KB]: 56033 9.95/9.97 % Time elapsed: 1.800 s 9.95/9.97 % ------------------------------ 9.95/9.97 % ------------------------------ 9.98/10.00 % lrs+1011_7_anc=none:stl=300d:holscev=on:foolp=on:lma=on:afp=4000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=on:add=large:combelim=inference_rules:amm=off:bd=off:nm=4:fsr=off:csl=3:afq=1.4:afr=on:er=known_2 on theBenchmark 10.42/10.50 % Time limit reached! 10.42/10.50 % ------------------------------ 10.42/10.50 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 10.42/10.50 % Termination reason: Time limit 10.42/10.50 % Termination phase: Saturation 10.42/10.50 10.42/10.50 % Memory used [KB]: 21108 10.42/10.50 % Time elapsed: 0.500 s 10.42/10.50 % ------------------------------ 10.42/10.50 % ------------------------------ 10.50/10.53 % lrs+1011_7_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:add=large:afr=on:afp=40000:afq=1.4:amm=off:anc=none:cond=on:er=known:fsr=off:lma=on:nm=4:nwc=2.5:stl=30:sp=reverse_arity:updr=off_2 on theBenchmark 11.02/11.03 % Time limit reached! 11.02/11.03 % ------------------------------ 11.02/11.03 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 11.02/11.03 % Termination reason: Time limit 11.02/11.03 % Termination phase: Saturation 11.02/11.03 11.02/11.03 % Memory used [KB]: 11129 11.02/11.03 % Time elapsed: 0.500 s 11.02/11.03 % ------------------------------ 11.02/11.03 % ------------------------------ 11.04/11.05 % ott+1011_1024_anc=none:e2e=off:holscev=on:foolp=on:abs=on:acc=on:urr=on:nwc=1.5:holcelim=on:updr=off:sac=on:afea=on:newcnf=on:cond=on:add=off:combelim=both:amm=off:nm=32:afq=1:afr=on_300 on theBenchmark 41.63/41.24 % Time limit reached! 41.63/41.24 % ------------------------------ 41.63/41.24 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 41.63/41.24 % Termination reason: Time limit 41.63/41.24 % Termination phase: Saturation 41.63/41.24 41.63/41.24 % Memory used [KB]: 487028 41.63/41.24 % Time elapsed: 30.200 s 41.63/41.24 % ------------------------------ 41.63/41.24 % ------------------------------ 41.72/41.32 % dis+10_4_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:av=off:bsr=on:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark 42.87/42.42 % Time limit reached! 42.87/42.42 % ------------------------------ 42.87/42.42 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 42.87/42.42 % Termination reason: Time limit 42.87/42.42 % Termination phase: Saturation 42.87/42.42 42.87/42.42 % Memory used [KB]: 14967 42.87/42.42 % Time elapsed: 1.100 s 42.87/42.42 % ------------------------------ 42.87/42.42 % ------------------------------ 42.87/42.45 % lrs+1011_7_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:add=large:afr=on:afp=40000:afq=1.4:amm=off:anc=none:cond=on:er=known:fsr=off:lma=on:nm=4:nwc=2.5:stl=30:sp=reverse_arity:updr=off_2 on theBenchmark 43.36/42.95 % Time limit reached! 43.36/42.95 % ------------------------------ 43.36/42.95 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 43.36/42.95 % Termination reason: Time limit 43.36/42.95 % Termination phase: Saturation 43.36/42.95 43.36/42.95 % Memory used [KB]: 11129 43.36/42.95 % Time elapsed: 0.500 s 43.36/42.95 % ------------------------------ 43.36/42.95 % ------------------------------ 43.43/42.98 % ott+11_2:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:add=large: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_111 on theBenchmark 44.59/44.12 % Refutation not found, incomplete strategy 44.59/44.12 % ------------------------------ 44.59/44.12 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 44.59/44.12 % Termination reason: Refutation not found, incomplete strategy 44.59/44.12 44.59/44.12 % Memory used [KB]: 17270 44.59/44.12 % Time elapsed: 1.141 s 44.59/44.12 % ------------------------------ 44.59/44.12 % ------------------------------ 44.59/44.15 % ott+1011_10_bsr=on:erd=off:sas=vampire:fde=none:sp=reverse_arity:sos=all:foolp=on:addc=user:acc=on:afp=4000:fd=off:updr=off:cond=fast:lcm=reverse:add=large:nocto=10:ep=R:nm=16:fsr=off:aup=on:afq=1.1_300 on theBenchmark 75.25/74.33 % Time limit reached! 75.25/74.33 % ------------------------------ 75.25/74.33 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 75.25/74.33 % Termination reason: Time limit 75.25/74.33 % Termination phase: Saturation 75.25/74.33 75.25/74.33 % Memory used [KB]: 1013842 75.25/74.33 % Time elapsed: 30.200 s 75.25/74.33 % ------------------------------ 75.25/74.33 % ------------------------------ 75.33/74.44 % lrs-3_4:1_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=2:updr=off:afea=on:lcm=reverse:en=on:sd=7:amm=sco:bd=off:csl=3:afq=1.4:uhcvi=on:ss=axioms_11 on theBenchmark 76.62/75.73 % Time limit reached! 76.62/75.73 % ------------------------------ 76.62/75.73 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 76.62/75.73 % Termination reason: Time limit 76.62/75.73 % Termination phase: Saturation 76.62/75.73 76.62/75.73 % Memory used [KB]: 56416 76.62/75.73 % Time elapsed: 1.300 s 76.62/75.73 % ------------------------------ 76.62/75.73 % ------------------------------ 76.71/75.76 % lrs-3_4:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:afp=1000:afq=1.4: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 77.96/77.06 % Time limit reached! 77.96/77.06 % ------------------------------ 77.96/77.06 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 77.96/77.06 % Termination reason: Time limit 77.96/77.06 % Termination phase: Saturation 77.96/77.06 77.96/77.06 % Memory used [KB]: 25585 77.96/77.06 % Time elapsed: 1.300 s 77.96/77.06 % ------------------------------ 77.96/77.06 % ------------------------------ 78.06/77.09 % lrs+10_3:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:av=off:bsr=on:cond=on:er=known:gs=on:lcm=reverse:nm=32:nwc=4:stl=30:sp=occurrence:urr=on:updr=off_73 on theBenchmark 85.64/84.59 % Time limit reached! 85.64/84.59 % ------------------------------ 85.64/84.59 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 85.64/84.59 % Termination reason: Time limit 85.64/84.59 % Termination phase: Saturation 85.64/84.59 85.64/84.59 % Memory used [KB]: 66395 85.64/84.59 % Time elapsed: 7.500 s 85.64/84.59 % ------------------------------ 85.64/84.59 % ------------------------------ 85.72/84.66 % lrs-3_4:1_anc=all_dependent:stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:afea=on:lcm=reverse:en=on:combelim=inference_rules:sd=1:amm=sco:csl=2:afq=1.4:uhcvi=on:ss=axioms_11 on theBenchmark 87.08/85.96 % Time limit reached! 87.08/85.96 % ------------------------------ 87.08/85.96 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 87.08/85.96 % Termination reason: Time limit 87.08/85.96 % Termination phase: Saturation 87.08/85.96 87.08/85.96 % Memory used [KB]: 35436 87.08/85.96 % Time elapsed: 1.300 s 87.08/85.96 % ------------------------------ 87.08/85.96 % ------------------------------ 87.08/85.99 % lrs+1011_3:1_sas=vampire:holscev=on:sp=reverse_arity:sos=all:foolp=on:afp=10000:holcelim=on:updr=off:afea=on:cond=on:add=off:en=on:combelim=both:ep=R:amm=off:nm=16:fsr=off:afq=1.1_300 on theBenchmark 87.08/85.99 % Refutation not found, incomplete strategy 87.08/85.99 % ------------------------------ 87.08/85.99 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 87.08/85.99 % Termination reason: Refutation not found, incomplete strategy 87.08/85.99 87.08/85.99 % Memory used [KB]: 1407 87.08/85.99 % Time elapsed: 0.004 s 87.08/85.99 % ------------------------------ 87.08/85.99 % ------------------------------ 87.12/86.02 % ott+10_2_bsr=on:erd=off:fde=none:holscev=on:sp=occurrence:foolp=on:addc=user:lma=on:urr=on:nwc=4:holcelim=on:afea=on:cond=fast:lcm=reverse:en=on:combelim=both:av=off:gsp=input_only:er=known:cunif=on_8 on theBenchmark 88.24/87.11 % Time limit reached! 88.24/87.11 % ------------------------------ 88.24/87.11 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 88.24/87.11 % Termination reason: Time limit 88.24/87.11 % Termination phase: Saturation 88.24/87.11 88.24/87.11 % Memory used [KB]: 16758 88.24/87.11 % Time elapsed: 1.100 s 88.24/87.11 % ------------------------------ 88.24/87.11 % ------------------------------ 88.24/87.14 % ott+1011_14_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=40000:nwc=2.5:holcelim=on:updr=off:afea=on:lcm=predicate:add=large:en=on:combelim=both:amm=off:bd=off:nm=4:fsr=off:aup=on:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 88.79/87.64 % Time limit reached! 88.79/87.64 % ------------------------------ 88.79/87.64 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 88.79/87.64 % Termination reason: Time limit 88.79/87.64 % Termination phase: Saturation 88.79/87.64 88.79/87.64 % Memory used [KB]: 15607 88.79/87.64 % Time elapsed: 0.500 s 88.79/87.64 % ------------------------------ 88.79/87.64 % ------------------------------ 88.80/87.67 % ott-3_3_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:afea=on:lcm=predicate:combelim=inference_rules:sd=1:amm=sco:afq=1.4:uhcvi=on:ss=axioms:cunif=on_11 on theBenchmark 90.12/88.97 % Time limit reached! 90.12/88.97 % ------------------------------ 90.12/88.97 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 90.12/88.97 % Termination reason: Time limit 90.12/88.97 % Termination phase: Saturation 90.12/88.97 90.12/88.97 % Memory used [KB]: 27376 90.12/88.97 % Time elapsed: 1.300 s 90.12/88.97 % ------------------------------ 90.12/88.97 % ------------------------------ 90.12/89.00 % ott+11_16_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:av=off:gs=on:gsem=on:irw=on:lma=on:nm=64:newcnf=on:nwc=1.3:sas=z3:sp=reverse_arity_16 on theBenchmark 91.92/90.80 % Time limit reached! 91.92/90.80 % ------------------------------ 91.92/90.80 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 91.92/90.80 % Termination reason: Time limit 91.92/90.80 % Termination phase: Saturation 91.92/90.80 91.92/90.80 % Memory used [KB]: 26097 91.92/90.80 % Time elapsed: 1.800 s 91.92/90.80 % ------------------------------ 91.92/90.80 % ------------------------------ 92.02/90.83 % lrs-3_4:1_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:lcm=reverse:add=large:combelim=inference_rules:sd=1:amm=sco:afq=1.4:uhcvi=on:ss=axioms:cunif=on_11 on theBenchmark 93.29/92.12 % Time limit reached! 93.29/92.12 % ------------------------------ 93.29/92.12 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 93.29/92.12 % Termination reason: Time limit 93.29/92.12 % Termination phase: Saturation 93.29/92.12 93.29/92.12 % Memory used [KB]: 27376 93.29/92.12 % Time elapsed: 1.300 s 93.29/92.12 % ------------------------------ 93.29/92.12 % ------------------------------ 93.37/92.15 % lrs-3_4:1_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:addc=user:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:st=3:lcm=reverse:en=on:combelim=inference_rules:sd=4:nocto=10:amm=off:afq=1.4:uhcvi=on:ss=axioms:cunif=on_11 on theBenchmark 94.68/93.45 % Time limit reached! 94.68/93.45 % ------------------------------ 94.68/93.45 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 94.68/93.45 % Termination reason: Time limit 94.68/93.45 % Termination phase: Saturation 94.68/93.45 94.68/93.45 % Memory used [KB]: 25202 94.68/93.45 % Time elapsed: 1.300 s 94.68/93.45 % ------------------------------ 94.68/93.45 % ------------------------------ 94.68/93.48 % dis+10_4_bsr=on:fde=none:holscev=on:sp=frequency:foolp=on:lma=on:urr=on:nwc=1.7:afea=on:cond=fast:lcm=reverse:en=on:combelim=inference_rules:av=off:gsp=input_only:er=filter:cunif=on_8 on theBenchmark 95.84/94.58 % Time limit reached! 95.84/94.58 % ------------------------------ 95.84/94.58 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 95.84/94.58 % Termination reason: Time limit 95.84/94.58 % Termination phase: Saturation 95.84/94.58 95.84/94.58 % Memory used [KB]: 19317 95.84/94.58 % Time elapsed: 1.100 s 95.84/94.58 % ------------------------------ 95.84/94.58 % ------------------------------ 95.84/94.61 % ott-3_4:1_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:abs=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:afea=on:lcm=reverse:en=on:combelim=inference_rules:sd=1:amm=sco:bd=off:afq=1.4:uhcvi=on:ss=axioms:cunif=on_11 on theBenchmark 97.15/95.91 % Time limit reached! 97.15/95.91 % ------------------------------ 97.15/95.91 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 97.15/95.91 % Termination reason: Time limit 97.15/95.91 % Termination phase: Saturation 97.15/95.91 97.15/95.91 % Memory used [KB]: 24178 97.15/95.91 % Time elapsed: 1.300 s 97.15/95.91 % ------------------------------ 97.15/95.91 % ------------------------------ 97.15/95.94 % dis+1011_7_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=40000:nwc=2.5:updr=off:afea=on:cond=on:en=on:combelim=inference_rules:amm=off:nm=4:fsr=off:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 97.67/96.44 % Time limit reached! 97.67/96.44 % ------------------------------ 97.67/96.44 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 97.67/96.44 % Termination reason: Time limit 97.67/96.44 % Termination phase: Saturation 97.67/96.44 97.67/96.44 % Memory used [KB]: 11513 97.67/96.44 % Time elapsed: 0.500 s 97.67/96.44 % ------------------------------ 97.67/96.44 % ------------------------------ 97.74/96.47 % dis+1004_4_bsr=on:fde=none:holscev=on:sp=occurrence:foolp=on:lma=on:nwc=4:afea=on:cond=fast:lcm=reverse:en=on:combelim=both:av=off:gsp=input_only:er=filter:cunif=on_8 on theBenchmark 98.83/97.56 % Time limit reached! 98.83/97.56 % ------------------------------ 98.83/97.56 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 98.83/97.56 % Termination reason: Time limit 98.83/97.56 % Termination phase: Saturation 98.83/97.56 98.83/97.56 % Memory used [KB]: 19445 98.83/97.56 % Time elapsed: 1.100 s 98.83/97.56 % ------------------------------ 98.83/97.56 % ------------------------------ 98.83/97.59 % dis+10_4_bsr=on:fde=none:drc=off:holscev=on:sp=occurrence:foolp=on:addc=user:lma=on:urr=on:nwc=4:holcelim=on:afea=on:cond=on:en=on:combelim=inference_rules:bs=on:av=off:gsp=input_only:er=filter:cunif=on_8 on theBenchmark 99.97/98.69 % Time limit reached! 99.97/98.69 % ------------------------------ 99.97/98.69 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 99.97/98.69 % Termination reason: Time limit 99.97/98.69 % Termination phase: Saturation 99.97/98.69 99.97/98.69 % Memory used [KB]: 13304 99.97/98.69 % Time elapsed: 1.100 s 99.97/98.69 % ------------------------------ 99.97/98.69 % ------------------------------ 99.97/98.72 % lrs+1011_7_anc=all_dependent:bsr=on:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=40000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=fast:add=large:combelim=inference_rules:amm=off:nm=4:fsr=off:afq=1.4:afr=on:cunif=on_2 on theBenchmark 100.47/99.22 % Time limit reached! 100.47/99.22 % ------------------------------ 100.47/99.22 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 100.47/99.22 % Termination reason: Time limit 100.47/99.22 % Termination phase: Saturation 100.47/99.22 100.47/99.22 % Memory used [KB]: 13688 100.47/99.22 % Time elapsed: 0.500 s 100.47/99.22 % ------------------------------ 100.47/99.22 % ------------------------------ 100.56/99.25 % dis+10_4_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:av=off:bsr=on:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark 101.68/100.35 % Time limit reached! 101.68/100.35 % ------------------------------ 101.68/100.35 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 101.68/100.35 % Termination reason: Time limit 101.68/100.35 % Termination phase: Saturation 101.68/100.35 101.68/100.35 % Memory used [KB]: 16247 101.68/100.35 % Time elapsed: 1.100 s 101.68/100.35 % ------------------------------ 101.68/100.35 % ------------------------------ 101.68/100.38 % ott+1002_128_anc=none:sas=vampire:sp=occurrence:foolp=on:addc=function_of_input:urr=on:afp=100000:gs=on:nwc=1.7:holcelim=on:updr=off:afea=on:gsem=off:add=off:en=on:combelim=inference_rules:bs=unit_only:amm=off:bd=off:nm=32:fsr=off:afq=1.1:afr=on_17 on theBenchmark 103.64/102.28 % Time limit reached! 103.64/102.28 % ------------------------------ 103.64/102.28 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 103.64/102.28 % Termination reason: Time limit 103.64/102.28 % Termination phase: Saturation 103.64/102.28 103.64/102.28 % Memory used [KB]: 59103 103.64/102.28 % Time elapsed: 1.900 s 103.64/102.28 % ------------------------------ 103.64/102.28 % ------------------------------ 103.64/102.31 % lrs-1010_3:1_anc=none:stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=1000:nwc=2.5:updr=off:sac=on:afea=on:cond=on:add=large:en=on:combelim=both:bs=on:amm=off:nm=4:fsr=off:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 104.15/102.81 % Time limit reached! 104.15/102.81 % ------------------------------ 104.15/102.81 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 104.15/102.81 % Termination reason: Time limit 104.15/102.81 % Termination phase: Saturation 104.15/102.81 104.15/102.81 % Memory used [KB]: 12153 104.15/102.81 % Time elapsed: 0.500 s 104.15/102.81 % ------------------------------ 104.15/102.81 % ------------------------------ 104.21/102.83 % lrs+1011_7_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=4000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=on:add=large:en=on:combelim=inference_rules:amm=off:bd=off:nm=4:fsr=off:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 104.70/103.33 % Time limit reached! 104.70/103.33 % ------------------------------ 104.70/103.33 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 104.70/103.33 % Termination reason: Time limit 104.70/103.33 % Termination phase: Saturation 104.70/103.33 104.70/103.33 % Memory used [KB]: 10874 104.70/103.33 % Time elapsed: 0.500 s 104.70/103.33 % ------------------------------ 104.70/103.33 % ------------------------------ 104.74/103.36 % lrs+1011_7_anc=none:stl=300d:holscev=on:foolp=on:lma=on:afp=40000:nwc=2.5:holcelim=on:updr=off:cond=on:add=large:en=on:combelim=inference_rules:extensionality_max_length=2:amm=off:nm=4:fsr=off:csl=3:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 105.26/103.86 % Time limit reached! 105.26/103.86 % ------------------------------ 105.26/103.86 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 105.26/103.86 % Termination reason: Time limit 105.26/103.86 % Termination phase: Saturation 105.26/103.86 105.26/103.86 % Memory used [KB]: 11129 105.26/103.86 % Time elapsed: 0.500 s 105.26/103.86 % ------------------------------ 105.26/103.86 % ------------------------------ 105.26/103.89 % lrs+10_4:1_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:add=large:afp=100000:afq=1.1:anc=none:ep=RST:fde=unused:gsp=input_only:nm=6:newcnf=on:nwc=1:stl=30:sos=all:sac=on:sp=reverse_arity:urr=ec_only_22 on theBenchmark 107.67/106.29 % Time limit reached! 107.67/106.29 % ------------------------------ 107.67/106.29 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 107.67/106.29 % Termination reason: Time limit 107.67/106.29 % Termination phase: Saturation 107.67/106.29 107.67/106.29 % Memory used [KB]: 47461 107.67/106.29 % Time elapsed: 2.400 s 107.67/106.29 % ------------------------------ 107.67/106.29 % ------------------------------ 107.74/106.35 % lrs+1011_5:4_cunif=on:en=on:foolp=on:holcelim=on:holscev=on:combelim=inference_rules:afea=on:acc=on: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_38 on theBenchmark 111.81/110.35 % Time limit reached! 111.81/110.35 % ------------------------------ 111.81/110.35 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 111.81/110.35 % Termination reason: Time limit 111.81/110.35 % Termination phase: Saturation 111.81/110.35 111.81/110.35 % Memory used [KB]: 53858 111.81/110.35 % Time elapsed: 4.0000 s 111.81/110.35 % ------------------------------ 111.81/110.35 % ------------------------------ 111.87/110.38 % lrs+10_4_bsr=on:holscev=on:sp=occurrence:foolp=on:lma=on:urr=on:nwc=4:afea=on:cond=fast:lcm=reverse:en=on:combelim=inference_rules:av=off:aup=on:gsp=input_only:er=filter:cunif=on_8 on theBenchmark 112.89/111.38 % Refutation not found, non-redundant clauses discarded 112.89/111.38 % ------------------------------ 112.89/111.38 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 112.89/111.38 % Termination reason: Refutation not found, non-redundant clauses discarded 112.89/111.38 112.89/111.38 % Memory used [KB]: 15223 112.89/111.38 % Time elapsed: 1.003 s 112.89/111.38 % ------------------------------ 112.89/111.38 % ------------------------------ 112.89/111.41 % dis+10_4_bsr=on:holscev=on:sp=occurrence:foolp=on:addc=function_of_input:lma=on:urr=on:nwc=4:cond=fast:lcm=reverse:combelim=inference_rules:av=off:fsr=off:cadd=sort:gsp=input_only:er=filter:cunif=on_8 on theBenchmark 113.98/112.51 % Time limit reached! 113.98/112.51 % ------------------------------ 113.98/112.51 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 113.98/112.51 % Termination reason: Time limit 113.98/112.51 % Termination phase: Saturation 113.98/112.51 113.98/112.51 % Memory used [KB]: 24178 113.98/112.51 % Time elapsed: 1.100 s 113.98/112.51 % ------------------------------ 113.98/112.51 % ------------------------------ 114.06/112.54 % lrs+1011_4:1_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=40000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=on:lcm=reverse:add=large:en=on:combelim=both:amm=off:nm=4:fsr=off:afq=1.4:afr=on:er=known:cunif=on_2 on theBenchmark 114.54/113.04 % Time limit reached! 114.54/113.04 % ------------------------------ 114.54/113.04 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 114.54/113.04 % Termination reason: Time limit 114.54/113.04 % Termination phase: Saturation 114.54/113.04 114.54/113.04 % Memory used [KB]: 11129 114.54/113.04 % Time elapsed: 0.500 s 114.54/113.04 % ------------------------------ 114.54/113.04 % ------------------------------ 114.60/113.07 % lrs+1003_1024_anc=none:stl=300d:holscev=on:sp=reverse_arity:foolp=on:lma=on:afp=1000:nwc=2.5:holcelim=on:updr=off:afea=on:cond=on:add=large:en=on:combelim=inference_rules:amm=sco:nm=4:fsr=off:afq=1.4:afr=on:er=known_2 on theBenchmark 115.09/113.56 % Time limit reached! 115.09/113.56 % ------------------------------ 115.09/113.56 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 115.09/113.56 % Termination reason: Time limit 115.09/113.56 % Termination phase: Saturation 115.09/113.56 115.09/113.56 % Memory used [KB]: 13560 115.09/113.56 % Time elapsed: 0.500 s 115.09/113.56 % ------------------------------ 115.09/113.56 % ------------------------------ 115.09/113.59 % lrs+2_4:1_anc=all_dependent:stl=300d:holscev=on:sp=reverse_arity:foolp=on:addc=user:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:afea=on:lcm=reverse:combelim=both:sd=1:aac=none:amm=sco:afq=1.4:uhcvi=on:ss=axioms:cunif=on_11 on theBenchmark 116.46/114.89 % Time limit reached! 116.46/114.89 % ------------------------------ 116.46/114.89 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 116.46/114.89 % Termination reason: Time limit 116.46/114.89 % Termination phase: Saturation 116.46/114.89 116.46/114.89 % Memory used [KB]: 25841 116.46/114.89 % Time elapsed: 1.300 s 116.46/114.89 % ------------------------------ 116.46/114.89 % ------------------------------ 116.46/114.92 % lrs-1002_4:1_stl=300d:fde=none:holscev=on:sp=reverse_arity:foolp=on:lma=on:urr=on:afp=1000:gs=on:nwc=1.5:holcelim=on:updr=off:afea=on:lcm=reverse:combelim=inference_rules:sd=5:amm=sco:bd=off:fsr=off:afq=1.4:uhcvi=on:ss=axioms_11 on theBenchmark 117.81/116.22 % Time limit reached! 117.81/116.22 % ------------------------------ 117.81/116.22 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 117.81/116.22 % Termination reason: Time limit 117.81/116.22 % Termination phase: Saturation 117.81/116.22 117.81/116.22 % Memory used [KB]: 52707 117.81/116.22 % Time elapsed: 1.300 s 117.81/116.22 % ------------------------------ 117.81/116.22 % ------------------------------ 117.84/116.25 % lrs+1010_5:4_anc=none:irw=on:stl=300d:e2e=off:ile=on:holscev=on:sp=occurrence:foolp=on:urr=on:afp=100000:holcelim=on:sac=on:afea=on:cond=on:lcm=predicate:en=on:combelim=inference_rules:nm=64:fsr=off:afq=1.2_2 on theBenchmark 118.32/116.75 % Time limit reached! 118.32/116.75 % ------------------------------ 118.32/116.75 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 118.32/116.75 % Termination reason: Time limit 118.32/116.75 % Termination phase: Saturation 118.32/116.75 118.32/116.75 % Memory used [KB]: 22515 118.32/116.75 % Time elapsed: 0.500 s 118.32/116.75 % ------------------------------ 118.32/116.75 % ------------------------------ 118.37/116.78 % lrs+1011_7_anc=all:stl=300d:holscev=on:foolp=on:lma=on:afp=40000:nwc=1.3:holcelim=on:updr=off:cond=on:add=large:combelim=inference_rules:bs=on:amm=off:nm=4:fsr=off:csl=actual:afq=1.4:afr=on:er=known_2 on theBenchmark 118.38/117.13 % Refutation found. Thanks to Tanya! 118.38/117.13 % SZS status Theorem for theBenchmark 118.38/117.13 % SZS output start Proof for theBenchmark 118.38/117.14 1. (dsetconstrI = ! [X0,X1 : ($i > $o),X2] : (((in @ X2) @ X0) => ((X1 @ X2) => ((in @ X2) @ ((dsetconstr @ X0) @ ^[X3 : $i] : (X1 @ X3)))))) [input] 118.38/117.14 2. (dsetconstrEL = ! [X0,X1 : ($i > $o),X2] : (((in @ X2) @ ((dsetconstr @ X0) @ ^[X3 : $i] : (X1 @ X3))) => ((in @ X2) @ X0))) [input] 118.38/117.14 3. (dsetconstrER = ! [X0,X1 : ($i > $o),X2] : (((in @ X2) @ ((dsetconstr @ X0) @ ^[X3 : $i] : (X1 @ X3))) => (X1 @ X2))) [input] 118.38/117.14 4. (setext = ! [X0,X4] : (! [X2] : (((in @ X2) @ X0) => ((in @ X2) @ X4)) => (! [X2] : (((in @ X2) @ X4) => ((in @ X2) @ X0)) => X0 = X4))) [input] 118.38/117.14 5. (uniqinunit = ! [X2,X3] : (((in @ X2) @ ((setadjoin @ X3) @ emptyset)) => X2 = X3)) [input] 118.38/117.14 6. (eqinunit = ! [X2,X3] : (X2 = X3 => ((in @ X2) @ ((setadjoin @ X3) @ emptyset)))) [input] 118.38/117.14 7. singleton = ^[X0 : $i] : ? [X2] : (X0 = ((setadjoin @ X2) @ emptyset) & ((in @ X2) @ X0)) [input] 118.38/117.14 8. dsetconstrI => (dsetconstrEL => (dsetconstrER => (setext => (uniqinunit => (eqinunit => ! [X0,X1 : ($i > $o)] : (! [X2] : (((in @ X2) @ X0) => ! [X3] : (((in @ X3) @ X0) => ((X1 @ X2) => ((X1 @ X3) => X2 = X3)))) => (? [X2] : ((X1 @ X2) & ((in @ X2) @ X0)) => (singleton @ ((dsetconstr @ X0) @ ^[X2 : $i] : (X1 @ X2)))))))))) [input] 118.38/117.14 9. ~(dsetconstrI => (dsetconstrEL => (dsetconstrER => (setext => (uniqinunit => (eqinunit => ! [X0,X1 : ($i > $o)] : (! [X2] : (((in @ X2) @ X0) => ! [X3] : (((in @ X3) @ X0) => ((X1 @ X2) => ((X1 @ X3) => X2 = X3)))) => (? [X2] : ((X1 @ X2) & ((in @ X2) @ X0)) => (singleton @ ((dsetconstr @ X0) @ ^[X2 : $i] : (X1 @ X2))))))))))) [negated conjecture 8] 118.38/117.14 10. ($false != $true) (TD) [fool axiom] 118.38/117.14 11. ~(dsetconstrI => (dsetconstrEL => (dsetconstrER => (setext => (uniqinunit => (eqinunit => ! [X0,X1 : ($i > $o)] : (! [X2] : (((in @ X2) @ X0) => ! [X3] : (((in @ X3) @ X0) => ((X1 @ X2) => ((X1 @ X3) => X2 = X3)))) => (? [X4] : ((X1 @ X4) & ((in @ X4) @ X0)) => (singleton @ ((dsetconstr @ X0) @ ^[X5 : $i] : (X1 @ X5))))))))))) [rectify 9] 118.38/117.14 12. ~((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((setext = $true) => ((uniqinunit = $true) => ((eqinunit = $true) => ! [X0,X1 : ($i > $o)] : (! [X2] : (($true = in @ X2 @ X0) => ! [X3] : (($true = in @ X3 @ X0) => (($true = X1 @ X2) => (($true = X1 @ X3) => X2 = X3)))) => (? [X4] : (($true = X1 @ X4) & ($true = in @ X4 @ X0)) => ($true = singleton @ (dsetconstr @ X0 @ X1)))))))))) [fool elimination 11] 118.38/117.14 13. singleton = ^[X0 : $i] : ? [X1] : (X0 = ((setadjoin @ X1) @ emptyset) & ((in @ X1) @ X0)) [rectify 7] 118.38/117.14 14. singleton = bCOMB_36 @ vSIGMA_22 @ (sCOMB_34 @ (bCOMB_33 @ sCOMB_21 @ (bCOMB_31 @ (bCOMB_19 @ vAND_12) @ (cCOMB_17 @ in))) @ (cCOMB_27 @ (bCOMB_25 @ bCOMB_15 @ vEQUALS_6) @ (cCOMB_13 @ setadjoin @ emptyset))) [fool elimination 13] 118.38/117.14 15. (eqinunit = ! [X0,X1] : (X0 = X1 => ((in @ X0) @ ((setadjoin @ X1) @ emptyset)))) [rectify 6] 118.38/117.14 16. (eqinunit = $true) <=> ! [X0,X1] : (X0 = X1 => ($true = in @ X0 @ (setadjoin @ X1 @ emptyset))) [fool elimination 15] 118.38/117.14 17. (setext = ! [X0,X1] : (! [X2] : (((in @ X2) @ X0) => ((in @ X2) @ X1)) => (! [X3] : (((in @ X3) @ X1) => ((in @ X3) @ X0)) => X0 = X1))) [rectify 4] 118.38/117.14 18. (setext = $true) <=> ! [X0,X1] : (! [X2] : (($true = in @ X2 @ X0) => ($true = in @ X2 @ X1)) => (! [X3] : (($true = in @ X3 @ X1) => ($true = in @ X3 @ X0)) => X0 = X1)) [fool elimination 17] 118.38/117.14 19. (uniqinunit = ! [X0,X1] : (((in @ X0) @ ((setadjoin @ X1) @ emptyset)) => X0 = X1)) [rectify 5] 118.38/117.14 20. (uniqinunit = $true) <=> ! [X0,X1] : (($true = in @ X0 @ (setadjoin @ X1 @ emptyset)) => X0 = X1) [fool elimination 19] 118.38/117.14 21. (dsetconstrI = ! [X0,X1 : ($i > $o),X2] : (((in @ X2) @ X0) => ((X1 @ X2) => ((in @ X2) @ ((dsetconstr @ X0) @ ^[X3 : $i] : (X1 @ X3)))))) [rectify 1] 118.38/117.14 22. (dsetconstrI = $true) <=> ! [X0,X1 : ($i > $o),X2] : (($true = in @ X2 @ X0) => (($true = X1 @ X2) => ($true = in @ X2 @ (dsetconstr @ X0 @ X1)))) [fool elimination 21] 118.38/117.14 23. (dsetconstrER = ! [X0,X1 : ($i > $o),X2] : (((in @ X2) @ ((dsetconstr @ X0) @ ^[X3 : $i] : (X1 @ X3))) => (X1 @ X2))) [rectify 3] 118.38/117.14 24. (dsetconstrER = $true) <=> ! [X0,X1 : ($i > $o),X2] : (($true = in @ X2 @ (dsetconstr @ X0 @ X1)) => ($true = X1 @ X2)) [fool elimination 23] 118.38/117.14 25. (dsetconstrEL = ! [X0,X1 : ($i > $o),X2] : (((in @ X2) @ ((dsetconstr @ X0) @ ^[X3 : $i] : (X1 @ X3))) => ((in @ X2) @ X0))) [rectify 2] 118.38/117.14 26. (dsetconstrEL = $true) <=> ! [X0,X1 : ($i > $o),X2] : (($true = in @ X2 @ (dsetconstr @ X0 @ X1)) => ($true = in @ X2 @ X0)) [fool elimination 25] 118.38/117.14 27. (((((? [X0,X1 : ($i > $o)] : ((($true != singleton @ (dsetconstr @ X0 @ X1)) & ? [X4] : (($true = X1 @ X4) & ($true = in @ X4 @ X0))) & ! [X2] : (! [X3] : (((X2 = X3 | ($true != X1 @ X3)) | ($true != X1 @ X2)) | ($true != in @ X3 @ X0)) | ($true != in @ X2 @ X0))) & (eqinunit = $true)) & (uniqinunit = $true)) & (setext = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true) [ennf transformation 12] 118.38/117.14 28. ? [X0,X1 : ($i > $o)] : (($true != singleton @ (dsetconstr @ X0 @ X1)) & ? [X4] : (($true = X1 @ X4) & ($true = in @ X4 @ X0)) & ! [X2] : (! [X3] : (X2 = X3 | ($true != X1 @ X3) | ($true != X1 @ X2) | ($true != in @ X3 @ X0)) | ($true != in @ X2 @ X0))) & (eqinunit = $true) & (uniqinunit = $true) & (setext = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) [flattening 27] 118.38/117.14 29. (eqinunit = $true) <=> ! [X0,X1] : (($true = in @ X0 @ (setadjoin @ X1 @ emptyset)) | X0 != X1) [ennf transformation 16] 118.38/117.14 30. (setext = $true) <=> ! [X0,X1] : ((X0 = X1 | ? [X3] : (($true != in @ X3 @ X0) & ($true = in @ X3 @ X1))) | ? [X2] : (($true != in @ X2 @ X1) & ($true = in @ X2 @ X0))) [ennf transformation 18] 118.38/117.14 31. (setext = $true) <=> ! [X0,X1] : (X0 = X1 | ? [X3] : (($true != in @ X3 @ X0) & ($true = in @ X3 @ X1)) | ? [X2] : (($true != in @ X2 @ X1) & ($true = in @ X2 @ X0))) [flattening 30] 118.38/117.14 32. (uniqinunit = $true) <=> ! [X0,X1] : (X0 = X1 | ($true != in @ X0 @ (setadjoin @ X1 @ emptyset))) [ennf transformation 20] 118.38/117.14 33. (dsetconstrI = $true) <=> ! [X0,X1 : ($i > $o),X2] : ((($true = in @ X2 @ (dsetconstr @ X0 @ X1)) | ($true != X1 @ X2)) | ($true != in @ X2 @ X0)) [ennf transformation 22] 118.38/117.14 34. (dsetconstrI = $true) <=> ! [X0,X1 : ($i > $o),X2] : (($true = in @ X2 @ (dsetconstr @ X0 @ X1)) | ($true != X1 @ X2) | ($true != in @ X2 @ X0)) [flattening 33] 118.38/117.14 35. (dsetconstrER = $true) <=> ! [X0,X1 : ($i > $o),X2] : (($true = X1 @ X2) | ($true != in @ X2 @ (dsetconstr @ X0 @ X1))) [ennf transformation 24] 118.38/117.14 36. (dsetconstrEL = $true) <=> ! [X0,X1 : ($i > $o),X2] : (($true = in @ X2 @ X0) | ($true != in @ X2 @ (dsetconstr @ X0 @ X1))) [ennf transformation 26] 118.38/117.14 37. sP0 <=> ! [X0,X1] : (X0 = X1 | ? [X3] : (($true != in @ X3 @ X0) & ($true = in @ X3 @ X1)) | ? [X2] : (($true != in @ X2 @ X1) & ($true = in @ X2 @ X0))) [predicate definition introduction] 118.38/117.14 38. (setext = $true) <=> sP0 [definition folding 31,37] 118.38/117.14 39. ? [X0,X1 : ($i > $o)] : (($true != singleton @ (dsetconstr @ X0 @ X1)) & ? [X2] : (($true = X1 @ X2) & ($true = in @ X2 @ X0)) & ! [X3] : (! [X4] : (X3 = X4 | ($true != X1 @ X4) | ($true != X1 @ X3) | ($true != in @ X4 @ X0)) | ($true != in @ X3 @ X0))) & (eqinunit = $true) & (uniqinunit = $true) & (setext = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) [rectify 28] 118.38/117.14 40. ? [X0,X1 : ($i > $o)] : (($true != singleton @ (dsetconstr @ X0 @ X1)) & ? [X2] : (($true = X1 @ X2) & ($true = in @ X2 @ X0)) & ! [X3] : (! [X4] : (X3 = X4 | ($true != X1 @ X4) | ($true != X1 @ X3) | ($true != in @ X4 @ X0)) | ($true != in @ X3 @ X0))) => (($true != singleton @ (dsetconstr @ sK1 @ sK2)) & ? [X2] : (($true = sK2 @ X2) & ($true = in @ X2 @ sK1)) & ! [X3] : (! [X4] : (X3 = X4 | ($true != sK2 @ X4) | ($true != sK2 @ X3) | ($true != in @ X4 @ sK1)) | ($true != in @ X3 @ sK1))) [choice axiom] 118.38/117.14 41. ? [X2] : (($true = X1 @ X2) & ($true = in @ X2 @ X0)) => (($true = X1 @ sK3) & ($true = in @ sK3 @ X0)) [choice axiom] 118.38/117.14 42. (($true != singleton @ (dsetconstr @ sK1 @ sK2)) & (($true = sK2 @ sK3) & ($true = in @ sK3 @ sK1)) & ! [X3] : (! [X4] : (X3 = X4 | ($true != sK2 @ X4) | ($true != sK2 @ X3) | ($true != in @ X4 @ sK1)) | ($true != in @ X3 @ sK1))) & (eqinunit = $true) & (uniqinunit = $true) & (setext = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) [skolemisation 39,41,40] 118.38/117.14 43. ((eqinunit = $true) | ? [X0,X1] : (($true != in @ X0 @ (setadjoin @ X1 @ emptyset)) & X0 = X1)) & (! [X0,X1] : (($true = in @ X0 @ (setadjoin @ X1 @ emptyset)) | X0 != X1) | (eqinunit != $true)) [nnf transformation 29] 118.38/117.14 44. ((eqinunit = $true) | ? [X0,X1] : (($true != in @ X0 @ (setadjoin @ X1 @ emptyset)) & X0 = X1)) & (! [X2,X3] : (($true = in @ X2 @ (setadjoin @ X3 @ emptyset)) | X2 != X3) | (eqinunit != $true)) [rectify 43] 118.38/117.14 45. ? [X0,X1] : (($true != in @ X0 @ (setadjoin @ X1 @ emptyset)) & X0 = X1) => (($true != in @ sK4 @ (setadjoin @ sK5 @ emptyset)) & sK4 = sK5) [choice axiom] 118.38/117.14 46. ((eqinunit = $true) | (($true != in @ sK4 @ (setadjoin @ sK5 @ emptyset)) & sK4 = sK5)) & (! [X2,X3] : (($true = in @ X2 @ (setadjoin @ X3 @ emptyset)) | X2 != X3) | (eqinunit != $true)) [skolemisation 44,45] 118.38/117.14 47. (sP0 | ? [X0,X1] : (X0 != X1 & ! [X3] : (($true = in @ X3 @ X0) | ($true != in @ X3 @ X1)) & ! [X2] : (($true = in @ X2 @ X1) | ($true != in @ X2 @ X0)))) & (! [X0,X1] : (X0 = X1 | ? [X3] : (($true != in @ X3 @ X0) & ($true = in @ X3 @ X1)) | ? [X2] : (($true != in @ X2 @ X1) & ($true = in @ X2 @ X0))) | ~sP0) [nnf transformation 37] 118.38/117.14 48. (sP0 | ? [X0,X1] : (X0 != X1 & ! [X2] : (($true = in @ X2 @ X0) | ($true != in @ X2 @ X1)) & ! [X3] : (($true = in @ X3 @ X1) | ($true != in @ X3 @ X0)))) & (! [X4,X5] : (X4 = X5 | ? [X6] : (($true != in @ X6 @ X4) & ($true = in @ X6 @ X5)) | ? [X7] : (($true != in @ X7 @ X5) & ($true = in @ X7 @ X4))) | ~sP0) [rectify 47] 118.38/117.14 49. ? [X0,X1] : (X0 != X1 & ! [X2] : (($true = in @ X2 @ X0) | ($true != in @ X2 @ X1)) & ! [X3] : (($true = in @ X3 @ X1) | ($true != in @ X3 @ X0))) => (sK6 != sK7 & ! [X2] : (($true = in @ X2 @ sK6) | ($true != in @ X2 @ sK7)) & ! [X3] : (($true = in @ X3 @ sK7) | ($true != in @ X3 @ sK6))) [choice axiom] 118.38/117.14 50. ! [X5,X4] : (? [X6] : (($true != in @ X6 @ X4) & ($true = in @ X6 @ X5)) => (($true != in @ (sK8 @ X5 @ X4) @ X4) & ($true = in @ (sK8 @ X5 @ X4) @ X5))) [choice axiom] 118.38/117.14 51. ! [X5,X4] : (? [X7] : (($true != in @ X7 @ X5) & ($true = in @ X7 @ X4)) => (($true != in @ (sK9 @ X5 @ X4) @ X5) & ($true = in @ (sK9 @ X5 @ X4) @ X4))) [choice axiom] 118.38/117.14 52. (sP0 | (sK6 != sK7 & ! [X2] : (($true = in @ X2 @ sK6) | ($true != in @ X2 @ sK7)) & ! [X3] : (($true = in @ X3 @ sK7) | ($true != in @ X3 @ sK6)))) & (! [X4,X5] : (X4 = X5 | (($true != in @ (sK8 @ X5 @ X4) @ X4) & ($true = in @ (sK8 @ X5 @ X4) @ X5)) | (($true != in @ (sK9 @ X5 @ X4) @ X5) & ($true = in @ (sK9 @ X5 @ X4) @ X4))) | ~sP0) [skolemisation 48,51,50,49] 118.38/117.14 53. ((setext = $true) | ~sP0) & (sP0 | (setext != $true)) [nnf transformation 38] 118.38/117.14 54. ((uniqinunit = $true) | ? [X0,X1] : (X0 != X1 & ($true = in @ X0 @ (setadjoin @ X1 @ emptyset)))) & (! [X0,X1] : (X0 = X1 | ($true != in @ X0 @ (setadjoin @ X1 @ emptyset))) | (uniqinunit != $true)) [nnf transformation 32] 118.38/117.14 55. ((uniqinunit = $true) | ? [X0,X1] : (X0 != X1 & ($true = in @ X0 @ (setadjoin @ X1 @ emptyset)))) & (! [X2,X3] : (X2 = X3 | ($true != in @ X2 @ (setadjoin @ X3 @ emptyset))) | (uniqinunit != $true)) [rectify 54] 118.38/117.14 56. ? [X0,X1] : (X0 != X1 & ($true = in @ X0 @ (setadjoin @ X1 @ emptyset))) => (sK10 != sK11 & ($true = in @ sK10 @ (setadjoin @ sK11 @ emptyset))) [choice axiom] 118.38/117.14 57. ((uniqinunit = $true) | (sK10 != sK11 & ($true = in @ sK10 @ (setadjoin @ sK11 @ emptyset)))) & (! [X2,X3] : (X2 = X3 | ($true != in @ X2 @ (setadjoin @ X3 @ emptyset))) | (uniqinunit != $true)) [skolemisation 55,56] 118.38/117.14 58. ((dsetconstrI = $true) | ? [X0,X1 : ($i > $o),X2] : (($true != in @ X2 @ (dsetconstr @ X0 @ X1)) & ($true = X1 @ X2) & ($true = in @ X2 @ X0))) & (! [X0,X1 : ($i > $o),X2] : (($true = in @ X2 @ (dsetconstr @ X0 @ X1)) | ($true != X1 @ X2) | ($true != in @ X2 @ X0)) | (dsetconstrI != $true)) [nnf transformation 34] 118.38/117.14 59. ((dsetconstrI = $true) | ? [X0,X1 : ($i > $o),X2] : (($true != in @ X2 @ (dsetconstr @ X0 @ X1)) & ($true = X1 @ X2) & ($true = in @ X2 @ X0))) & (! [X3,X4 : ($i > $o),X5] : (($true = in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true != X4 @ X5) | ($true != in @ X5 @ X3)) | (dsetconstrI != $true)) [rectify 58] 118.38/117.14 60. ? [X0,X1 : ($i > $o),X2] : (($true != in @ X2 @ (dsetconstr @ X0 @ X1)) & ($true = X1 @ X2) & ($true = in @ X2 @ X0)) => (($true != in @ sK14 @ (dsetconstr @ sK12 @ sK13)) & ($true = sK13 @ sK14) & ($true = in @ sK14 @ sK12)) [choice axiom] 118.38/117.14 61. ((dsetconstrI = $true) | (($true != in @ sK14 @ (dsetconstr @ sK12 @ sK13)) & ($true = sK13 @ sK14) & ($true = in @ sK14 @ sK12))) & (! [X3,X4 : ($i > $o),X5] : (($true = in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true != X4 @ X5) | ($true != in @ X5 @ X3)) | (dsetconstrI != $true)) [skolemisation 59,60] 118.38/117.14 62. ((dsetconstrER = $true) | ? [X0,X1 : ($i > $o),X2] : (($true != X1 @ X2) & ($true = in @ X2 @ (dsetconstr @ X0 @ X1)))) & (! [X0,X1 : ($i > $o),X2] : (($true = X1 @ X2) | ($true != in @ X2 @ (dsetconstr @ X0 @ X1))) | (dsetconstrER != $true)) [nnf transformation 35] 118.38/117.14 63. ((dsetconstrER = $true) | ? [X0,X1 : ($i > $o),X2] : (($true != X1 @ X2) & ($true = in @ X2 @ (dsetconstr @ X0 @ X1)))) & (! [X3,X4 : ($i > $o),X5] : (($true = X4 @ X5) | ($true != in @ X5 @ (dsetconstr @ X3 @ X4))) | (dsetconstrER != $true)) [rectify 62] 118.38/117.14 64. ? [X0,X1 : ($i > $o),X2] : (($true != X1 @ X2) & ($true = in @ X2 @ (dsetconstr @ X0 @ X1))) => (($true != sK16 @ sK17) & ($true = in @ sK17 @ (dsetconstr @ sK15 @ sK16))) [choice axiom] 118.38/117.14 65. ((dsetconstrER = $true) | (($true != sK16 @ sK17) & ($true = in @ sK17 @ (dsetconstr @ sK15 @ sK16)))) & (! [X3,X4 : ($i > $o),X5] : (($true = X4 @ X5) | ($true != in @ X5 @ (dsetconstr @ X3 @ X4))) | (dsetconstrER != $true)) [skolemisation 63,64] 118.38/117.14 66. ((dsetconstrEL = $true) | ? [X0,X1 : ($i > $o),X2] : (($true != in @ X2 @ X0) & ($true = in @ X2 @ (dsetconstr @ X0 @ X1)))) & (! [X0,X1 : ($i > $o),X2] : (($true = in @ X2 @ X0) | ($true != in @ X2 @ (dsetconstr @ X0 @ X1))) | (dsetconstrEL != $true)) [nnf transformation 36] 118.38/117.14 67. ((dsetconstrEL = $true) | ? [X0,X1 : ($i > $o),X2] : (($true != in @ X2 @ X0) & ($true = in @ X2 @ (dsetconstr @ X0 @ X1)))) & (! [X3,X4 : ($i > $o),X5] : (($true = in @ X5 @ X3) | ($true != in @ X5 @ (dsetconstr @ X3 @ X4))) | (dsetconstrEL != $true)) [rectify 66] 118.38/117.14 68. ? [X0,X1 : ($i > $o),X2] : (($true != in @ X2 @ X0) & ($true = in @ X2 @ (dsetconstr @ X0 @ X1))) => (($true != in @ sK20 @ sK18) & ($true = in @ sK20 @ (dsetconstr @ sK18 @ sK19))) [choice axiom] 118.38/117.14 69. ((dsetconstrEL = $true) | (($true != in @ sK20 @ sK18) & ($true = in @ sK20 @ (dsetconstr @ sK18 @ sK19)))) & (! [X3,X4 : ($i > $o),X5] : (($true = in @ X5 @ X3) | ($true != in @ X5 @ (dsetconstr @ X3 @ X4))) | (dsetconstrEL != $true)) [skolemisation 67,68] 118.38/117.14 70. (dsetconstrI = $true) [cnf transformation 42] 118.38/117.14 71. (dsetconstrEL = $true) [cnf transformation 42] 118.38/117.14 72. (dsetconstrER = $true) [cnf transformation 42] 118.38/117.14 73. (setext = $true) [cnf transformation 42] 118.38/117.14 74. (uniqinunit = $true) [cnf transformation 42] 118.38/117.14 75. (eqinunit = $true) [cnf transformation 42] 118.38/117.14 76. X3 = X4 | ($true != sK2 @ X4) | ($true != sK2 @ X3) | ($true != in @ X4 @ sK1) | ($true != in @ X3 @ sK1) [cnf transformation 42] 118.38/117.14 77. ($true = in @ sK3 @ sK1) [cnf transformation 42] 118.38/117.14 78. ($true = sK2 @ sK3) [cnf transformation 42] 118.38/117.14 79. ($true != singleton @ (dsetconstr @ sK1 @ sK2)) [cnf transformation 42] 118.38/117.14 80. singleton = bCOMB_36 @ vSIGMA_22 @ (sCOMB_34 @ (bCOMB_33 @ sCOMB_21 @ (bCOMB_31 @ (bCOMB_19 @ vAND_12) @ (cCOMB_17 @ in))) @ (cCOMB_27 @ (bCOMB_25 @ bCOMB_15 @ vEQUALS_6) @ (cCOMB_13 @ setadjoin @ emptyset))) [cnf transformation 14] 118.38/117.14 81. ($true = in @ X2 @ (setadjoin @ X3 @ emptyset)) | X2 != X3 | (eqinunit != $true) [cnf transformation 46] 118.38/117.14 84. X4 = X5 | ($true = in @ (sK8 @ X5 @ X4) @ X5) | ($true = in @ (sK9 @ X5 @ X4) @ X4) | ~sP0 [cnf transformation 52] 118.38/117.14 85. X4 = X5 | ($true = in @ (sK8 @ X5 @ X4) @ X5) | ($true != in @ (sK9 @ X5 @ X4) @ X5) | ~sP0 [cnf transformation 52] 118.38/117.14 86. X4 = X5 | ($true != in @ (sK8 @ X5 @ X4) @ X4) | ($true = in @ (sK9 @ X5 @ X4) @ X4) | ~sP0 [cnf transformation 52] 118.38/117.14 87. X4 = X5 | ($true != in @ (sK8 @ X5 @ X4) @ X4) | ($true != in @ (sK9 @ X5 @ X4) @ X5) | ~sP0 [cnf transformation 52] 118.38/117.14 91. sP0 | (setext != $true) [cnf transformation 53] 118.38/117.14 93. X2 = X3 | ($true != in @ X2 @ (setadjoin @ X3 @ emptyset)) | (uniqinunit != $true) [cnf transformation 57] 118.38/117.14 96. ($true = in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true != X4 @ X5) | ($true != in @ X5 @ X3) | (dsetconstrI != $true) [cnf transformation 61] 118.38/117.14 100. ($true = X4 @ X5) | ($true != in @ X5 @ (dsetconstr @ X3 @ X4)) | (dsetconstrER != $true) [cnf transformation 65] 118.38/117.14 103. ($true = in @ X5 @ X3) | ($true != in @ X5 @ (dsetconstr @ X3 @ X4)) | (dsetconstrEL != $true) [cnf transformation 69] 118.38/117.14 106. ($true != bCOMB_36 @ vSIGMA_22 @ (sCOMB_34 @ (bCOMB_33 @ sCOMB_21 @ (bCOMB_31 @ (bCOMB_19 @ vAND_12) @ (cCOMB_17 @ in))) @ (cCOMB_27 @ (bCOMB_25 @ bCOMB_15 @ vEQUALS_6) @ (cCOMB_13 @ setadjoin @ emptyset))) @ (dsetconstr @ sK1 @ sK2)) [definition unfolding 79,80] 118.38/117.14 109. ($true = in @ X2 @ (setadjoin @ X3 @ emptyset)) | X2 != X3 | ($true != $true) [definition unfolding 81,75] 118.38/117.14 111. sP0 | ($true != $true) [definition unfolding 91,73] 118.38/117.14 114. X2 = X3 | ($true != in @ X2 @ (setadjoin @ X3 @ emptyset)) | ($true != $true) [definition unfolding 93,74] 118.38/117.14 118. ($true = in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true != X4 @ X5) | ($true != in @ X5 @ X3) | ($true != $true) [definition unfolding 96,70] 118.38/117.14 121. ($true = X4 @ X5) | ($true != in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true != $true) [definition unfolding 100,72] 118.38/117.14 124. ($true = in @ X5 @ X3) | ($true != in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true != $true) [definition unfolding 103,71] 118.38/117.14 125. ($true = in @ X3 @ (setadjoin @ X3 @ emptyset)) | ($true != $true) [equality resolution 109] 118.38/117.14 126. ($true = in @ X5 @ X3) | ($true != in @ X5 @ (dsetconstr @ X3 @ X4)) [trivial inequality removal 124] 118.38/117.14 127. ($true = X4 @ X5) | ($true != in @ X5 @ (dsetconstr @ X3 @ X4)) [trivial inequality removal 121] 118.38/117.14 128. ($true = in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true != X4 @ X5) | ($true != in @ X5 @ X3) [trivial inequality removal 118] 118.38/117.14 129. X2 = X3 | ($true != in @ X2 @ (setadjoin @ X3 @ emptyset)) [trivial inequality removal 114] 118.38/117.14 130. sP0 [trivial inequality removal 111] 118.38/117.14 131. ($true = in @ X3 @ (setadjoin @ X3 @ emptyset)) [trivial inequality removal 125] 118.38/117.14 132. ($true != vSIGMA_22 @ (sCOMB_34 @ (bCOMB_33 @ sCOMB_21 @ (bCOMB_31 @ (bCOMB_19 @ vAND_12) @ (cCOMB_17 @ in))) @ (cCOMB_27 @ (bCOMB_25 @ bCOMB_15 @ vEQUALS_6) @ (cCOMB_13 @ setadjoin @ emptyset)) @ (dsetconstr @ sK1 @ sK2))) [B combinator elimination 106] 118.38/117.14 133. ($true != vSIGMA_22 @ (bCOMB_33 @ sCOMB_21 @ (bCOMB_31 @ (bCOMB_19 @ vAND_12) @ (cCOMB_17 @ in)) @ (dsetconstr @ sK1 @ sK2) @ (cCOMB_27 @ (bCOMB_25 @ bCOMB_15 @ vEQUALS_6) @ (cCOMB_13 @ setadjoin @ emptyset) @ (dsetconstr @ sK1 @ sK2)))) [S combinator elimination 132] 118.38/117.14 134. ($true != vSIGMA_22 @ (bCOMB_33 @ sCOMB_21 @ (bCOMB_31 @ (bCOMB_19 @ vAND_12) @ (cCOMB_17 @ in)) @ (dsetconstr @ sK1 @ sK2) @ (bCOMB_25 @ bCOMB_15 @ vEQUALS_6 @ (dsetconstr @ sK1 @ sK2) @ (cCOMB_13 @ setadjoin @ emptyset)))) [C combinator elimination 133] 118.38/117.14 135. ($true != vSIGMA_22 @ (bCOMB_33 @ sCOMB_21 @ (bCOMB_31 @ (bCOMB_19 @ vAND_12) @ (cCOMB_17 @ in)) @ (dsetconstr @ sK1 @ sK2) @ (bCOMB_15 @ (vEQUALS_6 @ (dsetconstr @ sK1 @ sK2)) @ (cCOMB_13 @ setadjoin @ emptyset)))) [B combinator elimination 134] 118.38/117.14 136. ($true != vSIGMA_22 @ (sCOMB_21 @ (bCOMB_31 @ (bCOMB_19 @ vAND_12) @ (cCOMB_17 @ in) @ (dsetconstr @ sK1 @ sK2)) @ (bCOMB_15 @ (vEQUALS_6 @ (dsetconstr @ sK1 @ sK2)) @ (cCOMB_13 @ setadjoin @ emptyset)))) [B combinator elimination 135] 118.38/117.14 137. ($true != vSIGMA_22 @ (sCOMB_21 @ (bCOMB_19 @ vAND_12 @ (cCOMB_17 @ in @ (dsetconstr @ sK1 @ sK2))) @ (bCOMB_15 @ (vEQUALS_6 @ (dsetconstr @ sK1 @ sK2)) @ (cCOMB_13 @ setadjoin @ emptyset)))) [B combinator elimination 136] 118.38/117.14 138. ($false = sCOMB_21 @ (bCOMB_19 @ vAND_12 @ (cCOMB_17 @ in @ (dsetconstr @ sK1 @ sK2))) @ (bCOMB_15 @ (vEQUALS_6 @ (dsetconstr @ sK1 @ sK2)) @ (cCOMB_13 @ setadjoin @ emptyset)) @ X1) [HOL PI constant elimination 137] 118.38/117.14 139. ($false = bCOMB_19 @ vAND_12 @ (cCOMB_17 @ in @ (dsetconstr @ sK1 @ sK2)) @ X1 @ (bCOMB_15 @ (vEQUALS_6 @ (dsetconstr @ sK1 @ sK2)) @ (cCOMB_13 @ setadjoin @ emptyset) @ X1)) [S combinator elimination 138] 118.38/117.14 140. ($false = bCOMB_19 @ vAND_12 @ (cCOMB_17 @ in @ (dsetconstr @ sK1 @ sK2)) @ X1 @ (vEQUALS_6 @ (dsetconstr @ sK1 @ sK2) @ (cCOMB_13 @ setadjoin @ emptyset @ X1))) [B combinator elimination 139] 118.38/117.14 141. ($false = bCOMB_19 @ vAND_12 @ (cCOMB_17 @ in @ (dsetconstr @ sK1 @ sK2)) @ X1 @ (vEQUALS_6 @ (dsetconstr @ sK1 @ sK2) @ (setadjoin @ X1 @ emptyset))) [C combinator elimination 140] 118.38/117.14 142. ($false = vAND_12 @ (cCOMB_17 @ in @ (dsetconstr @ sK1 @ sK2) @ X1) @ (vEQUALS_6 @ (dsetconstr @ sK1 @ sK2) @ (setadjoin @ X1 @ emptyset))) [B combinator elimination 141] 118.38/117.14 143. ($false = vAND_12 @ (in @ X1 @ (dsetconstr @ sK1 @ sK2)) @ (vEQUALS_6 @ (dsetconstr @ sK1 @ sK2) @ (setadjoin @ X1 @ emptyset))) [C combinator elimination 142] 118.38/117.14 144. ($false = in @ X1 @ (dsetconstr @ sK1 @ sK2)) | ($false = vEQUALS_6 @ (dsetconstr @ sK1 @ sK2) @ (setadjoin @ X1 @ emptyset)) [HOL binary constant elimination 143] 118.38/117.14 145. ($false = in @ X1 @ (dsetconstr @ sK1 @ sK2)) | dsetconstr @ sK1 @ sK2 != setadjoin @ X1 @ emptyset [HOL equality elimination 144] 118.38/117.14 147. 0 <=> ($false = $true) [avatar definition] 118.38/117.14 150. 1 <=> ($false != $true) [avatar definition] 118.38/117.14 152. ~1 [avatar split clause 10,150] 118.38/117.14 154. 2 <=> ! [X1] : (($false = in @ X1 @ (dsetconstr @ sK1 @ sK2)) | dsetconstr @ sK1 @ sK2 != setadjoin @ X1 @ emptyset) [avatar definition] 118.38/117.14 155. dsetconstr @ sK1 @ sK2 != setadjoin @ X1 @ emptyset | ($false = in @ X1 @ (dsetconstr @ sK1 @ sK2)) <- {2} [avatar component clause 154] 118.38/117.14 156. 2 [avatar split clause 145,154] 118.38/117.14 161. 4 <=> ($true = sK2 @ sK3) [avatar definition] 118.38/117.14 162. ($true = sK2 @ sK3) <- {4} [avatar component clause 161] 118.38/117.14 163. 4 [avatar split clause 78,161] 118.38/117.14 168. 6 <=> ($true = in @ sK3 @ sK1) [avatar definition] 118.38/117.14 169. ($true = in @ sK3 @ sK1) <- {6} [avatar component clause 168] 118.38/117.14 170. 6 [avatar split clause 77,168] 118.38/117.14 172. 8 <=> ! [X3,X4] : (X3 = X4 | ($true != sK2 @ X4) | ($true != sK2 @ X3) | ($true != in @ X4 @ sK1) | ($true != in @ X3 @ sK1)) [avatar definition] 118.38/117.14 173. ($true != in @ X3 @ sK1) | ($true != sK2 @ X4) | ($true != sK2 @ X3) | ($true != in @ X4 @ sK1) | X3 = X4 <- {8} [avatar component clause 172] 118.38/117.14 174. 8 [avatar split clause 76,172] 118.38/117.14 176. 10 <=> ! [X3] : ($true = in @ X3 @ (setadjoin @ X3 @ emptyset)) [avatar definition] 118.38/117.14 177. ($true = in @ X3 @ (setadjoin @ X3 @ emptyset)) <- {10} [avatar component clause 176] 118.38/117.14 178. 10 [avatar split clause 131,176] 118.38/117.14 186. 15 <=> ~sP0 [avatar definition] 118.38/117.14 189. 14 <=> sP0 [avatar definition] 118.38/117.14 201. 20 <=> ! [X5,X4] : (X4 = X5 | ($true != in @ (sK9 @ X5 @ X4) @ X5) | ($true != in @ (sK8 @ X5 @ X4) @ X4)) [avatar definition] 118.38/117.14 202. ($true != in @ (sK9 @ X5 @ X4) @ X5) | X4 = X5 | ($true != in @ (sK8 @ X5 @ X4) @ X4) <- {20} [avatar component clause 201] 118.38/117.14 203. ~15 | 20 [avatar split clause 87,201,186] 118.38/117.14 205. 22 <=> ! [X5,X4] : (X4 = X5 | ($true = in @ (sK9 @ X5 @ X4) @ X4) | ($true != in @ (sK8 @ X5 @ X4) @ X4)) [avatar definition] 118.38/117.14 206. ($true != in @ (sK8 @ X5 @ X4) @ X4) | ($true = in @ (sK9 @ X5 @ X4) @ X4) | X4 = X5 <- {22} [avatar component clause 205] 118.38/117.14 207. ~15 | 22 [avatar split clause 86,205,186] 118.38/117.14 209. 24 <=> ! [X5,X4] : (X4 = X5 | ($true != in @ (sK9 @ X5 @ X4) @ X5) | ($true = in @ (sK8 @ X5 @ X4) @ X5)) [avatar definition] 118.38/117.14 210. ($true != in @ (sK9 @ X5 @ X4) @ X5) | X4 = X5 | ($true = in @ (sK8 @ X5 @ X4) @ X5) <- {24} [avatar component clause 209] 118.38/117.14 211. ~15 | 24 [avatar split clause 85,209,186] 118.38/117.14 213. 26 <=> ! [X5,X4] : (X4 = X5 | ($true = in @ (sK9 @ X5 @ X4) @ X4) | ($true = in @ (sK8 @ X5 @ X4) @ X5)) [avatar definition] 118.38/117.14 214. ($true = in @ (sK8 @ X5 @ X4) @ X5) | ($true = in @ (sK9 @ X5 @ X4) @ X4) | X4 = X5 <- {26} [avatar component clause 213] 118.38/117.14 215. ~15 | 26 [avatar split clause 84,213,186] 118.38/117.14 216. 14 [avatar split clause 130,189] 118.38/117.14 218. 28 <=> ! [X3,X2] : (X2 = X3 | ($true != in @ X2 @ (setadjoin @ X3 @ emptyset))) [avatar definition] 118.38/117.14 219. ($true != in @ X2 @ (setadjoin @ X3 @ emptyset)) | X2 = X3 <- {28} [avatar component clause 218] 118.38/117.14 220. 28 [avatar split clause 129,218] 118.38/117.14 222. 30 <=> ! [X3,X5,X4 : ($i > $o)] : (($true = in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true != X4 @ X5) | ($true != in @ X5 @ X3)) [avatar definition] 118.38/117.14 223. ($true != in @ X5 @ X3) | ($true != X4 @ X5) | ($true = in @ X5 @ (dsetconstr @ X3 @ X4)) <- {30} [avatar component clause 222] 118.38/117.14 224. 30 [avatar split clause 128,222] 118.38/117.14 226. 32 <=> ! [X3,X5,X4 : ($i > $o)] : (($true = X4 @ X5) | ($true != in @ X5 @ (dsetconstr @ X3 @ X4))) [avatar definition] 118.38/117.14 227. ($true != in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true = X4 @ X5) <- {32} [avatar component clause 226] 118.38/117.14 228. 32 [avatar split clause 127,226] 118.38/117.14 230. 34 <=> ! [X3,X5,X4 : ($i > $o)] : (($true = in @ X5 @ X3) | ($true != in @ X5 @ (dsetconstr @ X3 @ X4))) [avatar definition] 118.38/117.14 231. ($true != in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true = in @ X5 @ X3) <- {34} [avatar component clause 230] 118.38/117.14 232. 34 [avatar split clause 126,230] 118.38/117.14 266. ($true != $true) | ($true != X0 @ sK3) | ($true = in @ sK3 @ (dsetconstr @ sK1 @ X0)) <- {6, 30} [superposition 223,169] 118.38/117.14 272. ($true != X0 @ sK3) | ($true = in @ sK3 @ (dsetconstr @ sK1 @ X0)) <- {6, 30} [trivial inequality removal 266] 118.38/117.14 279. 44 <=> ! [X0 : ($i > $o)] : (($true != X0 @ sK3) | ($true = in @ sK3 @ (dsetconstr @ sK1 @ X0))) [avatar definition] 118.38/117.14 280. ($true != X0 @ sK3) | ($true = in @ sK3 @ (dsetconstr @ sK1 @ X0)) <- {44} [avatar component clause 279] 118.38/117.14 281. 44 | ~6 | ~30 [avatar split clause 272,222,168,279] 118.38/117.14 287. ($true != $true) | ($true = in @ sK3 @ (dsetconstr @ sK1 @ sK2)) <- {4, 44} [superposition 280,162] 118.38/117.14 288. ($true = in @ sK3 @ (dsetconstr @ sK1 @ sK2)) <- {4, 44} [trivial inequality removal 287] 118.38/117.14 295. 51 <=> ($true != in @ sK3 @ (dsetconstr @ sK1 @ sK2)) [avatar definition] 118.38/117.14 298. 50 <=> ($true = in @ sK3 @ (dsetconstr @ sK1 @ sK2)) [avatar definition] 118.38/117.14 299. ($true = in @ sK3 @ (dsetconstr @ sK1 @ sK2)) <- {50} [avatar component clause 298] 118.38/117.14 300. 50 | ~4 | ~44 [avatar split clause 288,279,161,298] 118.38/117.14 321. ($true != $true) | ($true != sK2 @ X4) | ($true != sK2 @ X3) | ($true != in @ X4 @ sK1) | X3 = X4 | ($false = in @ X3 @ sK1) <- {8} [fool paramodulation 173] 118.38/117.14 324. ($true != sK2 @ X4) | ($true != sK2 @ X3) | ($true != in @ X4 @ sK1) | X3 = X4 | ($false = in @ X3 @ sK1) <- {8} [trivial inequality removal 321] 118.38/117.14 326. 54 <=> ! [X3,X4] : (($true != sK2 @ X4) | ($true != sK2 @ X3) | ($true != in @ X4 @ sK1) | X3 = X4 | ($false = in @ X3 @ sK1)) [avatar definition] 118.38/117.14 327. ($true != in @ X4 @ sK1) | ($true != sK2 @ X3) | ($true != sK2 @ X4) | X3 = X4 | ($false = in @ X3 @ sK1) <- {54} [avatar component clause 326] 118.38/117.14 328. 54 | ~8 [avatar split clause 324,172,326] 118.38/117.14 339. 58 <=> ! [X0] : (($true != sK2 @ X0) | sK3 = X0 | ($false = in @ X0 @ sK1)) [avatar definition] 118.38/117.14 340. ($true != sK2 @ X0) | sK3 = X0 | ($false = in @ X0 @ sK1) <- {58} [avatar component clause 339] 118.38/117.14 997. ($true != $true) | sK8 @ (setadjoin @ X21 @ emptyset) @ X22 = X21 | ($true = in @ (sK9 @ (setadjoin @ X21 @ emptyset) @ X22) @ X22) | setadjoin @ X21 @ emptyset = X22 <- {26, 28} [superposition 219,214] 118.38/117.14 1020. sK8 @ (setadjoin @ X21 @ emptyset) @ X22 = X21 | ($true = in @ (sK9 @ (setadjoin @ X21 @ emptyset) @ X22) @ X22) | setadjoin @ X21 @ emptyset = X22 <- {26, 28} [trivial inequality removal 997] 118.38/117.14 1033. 170 <=> ! [X11,X12] : (($true = in @ (sK9 @ (setadjoin @ X11 @ emptyset) @ X12) @ X12) | sK8 @ (setadjoin @ X11 @ emptyset) @ X12 = X11 | setadjoin @ X11 @ emptyset = X12) [avatar definition] 118.38/117.14 1034. sK8 @ (setadjoin @ X11 @ emptyset) @ X12 = X11 | ($true = in @ (sK9 @ (setadjoin @ X11 @ emptyset) @ X12) @ X12) | setadjoin @ X11 @ emptyset = X12 <- {170} [avatar component clause 1033] 118.38/117.14 1065. 170 | ~26 | ~28 [avatar split clause 1020,218,213,1033] 118.38/117.14 2180. ($true != in @ X9 @ X10) | ($true = in @ (sK9 @ (setadjoin @ X9 @ emptyset) @ X10) @ X10) | setadjoin @ X9 @ emptyset = X10 | ($true = in @ (sK9 @ (setadjoin @ X9 @ emptyset) @ X10) @ X10) | setadjoin @ X9 @ emptyset = X10 <- {22, 170} [superposition 206,1034] 118.38/117.14 2181. ($true != in @ X9 @ X10) | ($true = in @ (sK9 @ (setadjoin @ X9 @ emptyset) @ X10) @ X10) | setadjoin @ X9 @ emptyset = X10 <- {22, 170} [duplicate literal removal 2180] 118.38/117.14 2199. 388 <=> ! [X9,X10] : (($true != in @ X9 @ X10) | ($true = in @ (sK9 @ (setadjoin @ X9 @ emptyset) @ X10) @ X10) | setadjoin @ X9 @ emptyset = X10) [avatar definition] 118.38/117.14 2200. ($true != in @ X9 @ X10) | ($true = in @ (sK9 @ (setadjoin @ X9 @ emptyset) @ X10) @ X10) | setadjoin @ X9 @ emptyset = X10 <- {388} [avatar component clause 2199] 118.38/117.14 2201. 388 | ~22 | ~170 [avatar split clause 2181,1033,205,2199] 118.38/117.14 2573. 486 <=> dsetconstr @ sK1 @ sK2 = setadjoin @ sK3 @ emptyset [avatar definition] 118.38/117.14 2574. dsetconstr @ sK1 @ sK2 = setadjoin @ sK3 @ emptyset <- {486} [avatar component clause 2573] 118.38/117.14 2579. 488 <=> ($true = in @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (dsetconstr @ sK1 @ sK2)) [avatar definition] 118.38/117.14 2580. ($true = in @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (dsetconstr @ sK1 @ sK2)) <- {488} [avatar component clause 2579] 118.38/117.14 3659. 738 <=> ($false = in @ sK3 @ (dsetconstr @ sK1 @ sK2)) [avatar definition] 118.38/117.14 3660. ($false = in @ sK3 @ (dsetconstr @ sK1 @ sK2)) <- {738} [avatar component clause 3659] 118.38/117.14 5508. ($true != $true) | ($true = in @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (dsetconstr @ sK1 @ sK2)) | dsetconstr @ sK1 @ sK2 = setadjoin @ sK3 @ emptyset <- {50, 388} [superposition 2200,299] 118.38/117.14 5516. ($true = in @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (dsetconstr @ sK1 @ sK2)) | dsetconstr @ sK1 @ sK2 = setadjoin @ sK3 @ emptyset <- {50, 388} [trivial inequality removal 5508] 118.38/117.14 7966. ($true != $true) | ($true != sK2 @ X1) | ($true != sK2 @ sK3) | sK3 = X1 | ($false = in @ X1 @ sK1) <- {6, 54} [superposition 327,169] 118.38/117.14 7980. ($true != sK2 @ X1) | ($true != sK2 @ sK3) | sK3 = X1 | ($false = in @ X1 @ sK1) <- {6, 54} [trivial inequality removal 7966] 118.38/117.14 8355. ($true != $true) | ($true != sK2 @ X1) | sK3 = X1 | ($false = in @ X1 @ sK1) <- {4, 6, 54} [forward demodulation 7980,162] 118.38/117.14 8356. ($true != sK2 @ X1) | sK3 = X1 | ($false = in @ X1 @ sK1) <- {4, 6, 54} [trivial inequality removal 8355] 118.38/117.14 8357. 58 | ~4 | ~6 | ~54 [avatar split clause 8356,326,168,161,339] 118.38/117.14 12168. ($true != $true) | ($true = in @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ sK1) <- {34, 488} [superposition 231,2580] 118.38/117.14 12169. ($true != $true) | ($true = sK2 @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2))) <- {32, 488} [superposition 227,2580] 118.38/117.14 12179. ($true = sK2 @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2))) <- {32, 488} [trivial inequality removal 12169] 118.38/117.14 12180. ($true = in @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ sK1) <- {34, 488} [trivial inequality removal 12168] 118.38/117.14 12185. 1624 <=> ($true = in @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ sK1) [avatar definition] 118.38/117.14 12186. ($true = in @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ sK1) <- {1624} [avatar component clause 12185] 118.38/117.14 12192. 1626 <=> ($true = sK2 @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2))) [avatar definition] 118.38/117.14 12193. ($true = sK2 @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2))) <- {1626} [avatar component clause 12192] 118.38/117.14 12197. 1624 | ~34 | ~488 [avatar split clause 12180,2579,230,12185] 118.38/117.14 12198. 1626 | ~32 | ~488 [avatar split clause 12179,2579,226,12192] 118.38/117.14 12227. ($true != $true) | sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2) = sK3 | ($false = in @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ sK1) <- {58, 1626} [superposition 340,12193] 118.38/117.14 12246. sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2) = sK3 | ($false = in @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ sK1) <- {58, 1626} [trivial inequality removal 12227] 118.38/117.14 12252. 1638 <=> ($false = in @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ sK1) [avatar definition] 118.38/117.14 12253. ($false = in @ (sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ sK1) <- {1638} [avatar component clause 12252] 118.38/117.14 12258. 1640 <=> sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2) = sK3 [avatar definition] 118.38/117.14 12259. sK9 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2) = sK3 <- {1640} [avatar component clause 12258] 118.38/117.14 12261. 1638 | 1640 | ~58 | ~1626 [avatar split clause 12246,12192,339,12258,12252] 118.38/117.14 12364. ($true != in @ sK3 @ (setadjoin @ sK3 @ emptyset)) | dsetconstr @ sK1 @ sK2 = setadjoin @ sK3 @ emptyset | ($true = in @ (sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (setadjoin @ sK3 @ emptyset)) <- {24, 1640} [superposition 210,12259] 118.38/117.14 12365. ($true != in @ sK3 @ (setadjoin @ sK3 @ emptyset)) | dsetconstr @ sK1 @ sK2 = setadjoin @ sK3 @ emptyset | ($true != in @ (sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (dsetconstr @ sK1 @ sK2)) <- {20, 1640} [superposition 202,12259] 118.38/117.14 12379. 1664 <=> ($true = in @ (sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (setadjoin @ sK3 @ emptyset)) [avatar definition] 118.38/117.14 12380. ($true = in @ (sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (setadjoin @ sK3 @ emptyset)) <- {1664} [avatar component clause 12379] 118.38/117.14 12382. ($true != $true) | dsetconstr @ sK1 @ sK2 = setadjoin @ sK3 @ emptyset | ($true = in @ (sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (setadjoin @ sK3 @ emptyset)) <- {10, 24, 1640} [forward demodulation 12364,177] 118.38/117.14 12383. dsetconstr @ sK1 @ sK2 = setadjoin @ sK3 @ emptyset | ($true = in @ (sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (setadjoin @ sK3 @ emptyset)) <- {10, 24, 1640} [trivial inequality removal 12382] 118.38/117.14 12384. 1664 | 486 | ~10 | ~24 | ~1640 [avatar split clause 12383,12258,209,176,2573,12379] 118.38/117.14 12385. ($true != $true) | dsetconstr @ sK1 @ sK2 = setadjoin @ sK3 @ emptyset | ($true != in @ (sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (dsetconstr @ sK1 @ sK2)) <- {10, 20, 1640} [forward demodulation 12365,177] 118.38/117.14 12386. dsetconstr @ sK1 @ sK2 = setadjoin @ sK3 @ emptyset | ($true != in @ (sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (dsetconstr @ sK1 @ sK2)) <- {10, 20, 1640} [trivial inequality removal 12385] 118.38/117.14 12391. 1667 <=> ($true != in @ (sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (dsetconstr @ sK1 @ sK2)) [avatar definition] 118.38/117.14 12392. ($true != in @ (sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2)) @ (dsetconstr @ sK1 @ sK2)) <- {1667} [avatar component clause 12391] 118.38/117.14 12393. ~1667 | 486 | ~10 | ~20 | ~1640 [avatar split clause 12386,12258,201,176,2573,12391] 118.38/117.14 14033. ($true != $true) | sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2) = sK3 <- {28, 1664} [superposition 219,12380] 118.38/117.14 14045. sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2) = sK3 <- {28, 1664} [trivial inequality removal 14033] 118.38/117.14 14054. 1918 <=> sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2) = sK3 [avatar definition] 118.38/117.14 14055. sK8 @ (setadjoin @ sK3 @ emptyset) @ (dsetconstr @ sK1 @ sK2) = sK3 <- {1918} [avatar component clause 14054] 118.38/117.14 14063. 1918 | ~28 | ~1664 [avatar split clause 14045,12379,218,14054] 118.38/117.14 14129. ($false = $true) <- {50, 738} [backward demodulation 3660,299] 118.38/117.14 14130. 0 | ~50 | ~738 [avatar split clause 14129,3659,298,147] 118.38/117.14 14139. ($true != in @ sK3 @ (dsetconstr @ sK1 @ sK2)) <- {1667, 1918} [forward demodulation 12392,14055] 118.38/117.14 14140. ~51 | 1667 | ~1918 [avatar split clause 14139,14054,12391,295] 118.38/117.14 14341. ($false = $true) <- {1624, 1638} [backward demodulation 12253,12186] 118.38/117.14 14342. 0 | ~1624 | ~1638 [avatar split clause 14341,12252,12185,147] 118.38/117.14 14352. 486 | 488 | ~50 | ~388 [avatar split clause 5516,2199,298,2579,2573] 118.38/117.14 14977. dsetconstr @ sK1 @ sK2 != dsetconstr @ sK1 @ sK2 | ($false = in @ sK3 @ (dsetconstr @ sK1 @ sK2)) <- {2, 486} [superposition 155,2574] 118.38/117.14 14993. ($false = in @ sK3 @ (dsetconstr @ sK1 @ sK2)) <- {2, 486} [trivial inequality removal 14977] 118.38/117.14 14994. 738 | ~2 | ~486 [avatar split clause 14993,2573,154,3659] 118.38/117.14 15046. $false [avatar sat refutation 152,156,163,170,174,178,203,207,211,215,216,220,224,228,232,281,300,328,1065,2201,8357,12197,12198,12261,12384,12393,14063,14130,14140,14342,14352,14994] 118.38/117.14 % SZS output end Proof for theBenchmark 118.38/117.14 % ------------------------------ 118.38/117.14 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 118.38/117.14 % Termination reason: Refutation 118.38/117.14 118.38/117.14 % Memory used [KB]: 16758 118.38/117.14 % Time elapsed: 0.359 s 118.38/117.14 % ------------------------------ 118.38/117.14 % ------------------------------ 118.38/117.14 % Success in time 116.787 s 118.38/117.14 EOF