0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : vampire_hol --schedule thf_2019 --mode portfolio --time_limit %ds %s 0.13/0.33 % Computer : n022.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 180 0.13/0.33 % DateTime : Thu Aug 29 14:06:28 EDT 2019 0.13/0.33 % CPUTime : 0.19/0.40 % 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]: 43879 1.54/1.70 % Time elapsed: 1.300 s 1.54/1.70 % ------------------------------ 1.54/1.70 % ------------------------------ 1.54/1.73 % 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 5.62/5.73 % Time limit reached! 5.62/5.73 % ------------------------------ 5.62/5.73 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 5.62/5.73 % Termination reason: Time limit 5.62/5.73 % Termination phase: Saturation 5.62/5.73 5.62/5.73 % Memory used [KB]: 67546 5.62/5.73 % Time elapsed: 4.0000 s 5.62/5.73 % ------------------------------ 5.62/5.73 % ------------------------------ 5.62/5.76 % 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 7.47/7.56 % Time limit reached! 7.47/7.56 % ------------------------------ 7.47/7.56 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 7.47/7.56 % Termination reason: Time limit 7.47/7.56 % Termination phase: Saturation 7.47/7.56 7.47/7.56 % Memory used [KB]: 28272 7.47/7.56 % Time elapsed: 1.800 s 7.47/7.56 % ------------------------------ 7.47/7.56 % ------------------------------ 7.51/7.59 % 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 7.99/8.08 % Time limit reached! 7.99/8.08 % ------------------------------ 7.99/8.08 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 7.99/8.08 % Termination reason: Time limit 7.99/8.08 % Termination phase: Saturation 7.99/8.08 7.99/8.08 % Memory used [KB]: 17270 7.99/8.08 % Time elapsed: 0.500 s 7.99/8.08 % ------------------------------ 7.99/8.08 % ------------------------------ 7.99/8.11 % 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 9.86/9.91 % Time limit reached! 9.86/9.91 % ------------------------------ 9.86/9.91 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 9.86/9.91 % Termination reason: Time limit 9.86/9.91 % Termination phase: Saturation 9.86/9.91 9.86/9.91 % Memory used [KB]: 29807 9.86/9.91 % Time elapsed: 1.800 s 9.86/9.91 % ------------------------------ 9.86/9.91 % ------------------------------ 9.91/9.94 % 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 10.33/10.44 % Time limit reached! 10.33/10.44 % ------------------------------ 10.33/10.44 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 10.33/10.44 % Termination reason: Time limit 10.33/10.44 % Termination phase: Saturation 10.33/10.44 10.33/10.44 % Memory used [KB]: 27249 10.33/10.44 % Time elapsed: 0.500 s 10.33/10.44 % ------------------------------ 10.33/10.44 % ------------------------------ 10.43/10.47 % 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 10.93/10.97 % Time limit reached! 10.93/10.97 % ------------------------------ 10.93/10.97 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 10.93/10.97 % Termination reason: Time limit 10.93/10.97 % Termination phase: Saturation 10.93/10.97 10.93/10.97 % Memory used [KB]: 39274 10.93/10.97 % Time elapsed: 0.500 s 10.93/10.97 % ------------------------------ 10.93/10.97 % ------------------------------ 10.98/11.00 % 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 41.66/41.20 % Time limit reached! 41.66/41.20 % ------------------------------ 41.66/41.20 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 41.66/41.20 % Termination reason: Time limit 41.66/41.20 % Termination phase: Saturation 41.66/41.20 41.66/41.20 % Memory used [KB]: 796618 41.66/41.20 % Time elapsed: 30.200 s 41.66/41.20 % ------------------------------ 41.66/41.20 % ------------------------------ 41.74/41.26 % 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 42.86/42.36 % Time limit reached! 42.86/42.36 % ------------------------------ 42.86/42.36 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 42.86/42.36 % Termination reason: Time limit 42.86/42.36 % Termination phase: Saturation 42.86/42.36 42.86/42.36 % Memory used [KB]: 18549 42.86/42.36 % Time elapsed: 1.100 s 42.86/42.36 % ------------------------------ 42.86/42.36 % ------------------------------ 42.86/42.39 % 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 43.38/42.89 % Time limit reached! 43.38/42.89 % ------------------------------ 43.38/42.89 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 43.38/42.89 % Termination reason: Time limit 43.38/42.89 % Termination phase: Saturation 43.38/42.89 43.38/42.89 % Memory used [KB]: 40297 43.38/42.89 % Time elapsed: 0.500 s 43.38/42.89 % ------------------------------ 43.38/42.89 % ------------------------------ 43.42/42.92 % 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 54.88/54.22 % Time limit reached! 54.88/54.22 % ------------------------------ 54.88/54.22 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 54.88/54.22 % Termination reason: Time limit 54.88/54.22 % Termination phase: Saturation 54.88/54.22 54.88/54.22 % Memory used [KB]: 190871 54.88/54.22 % Time elapsed: 11.300 s 54.88/54.22 % ------------------------------ 54.88/54.22 % ------------------------------ 54.93/54.26 % 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 85.63/84.45 % Time limit reached! 85.63/84.45 % ------------------------------ 85.63/84.45 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 85.63/84.45 % Termination reason: Time limit 85.63/84.45 % Termination phase: Saturation 85.63/84.45 85.63/84.45 % Memory used [KB]: 415515 85.63/84.45 % Time elapsed: 30.200 s 85.63/84.45 % ------------------------------ 85.63/84.45 % ------------------------------ 85.63/84.49 % 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 86.99/85.80 % Time limit reached! 86.99/85.80 % ------------------------------ 86.99/85.80 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 86.99/85.80 % Termination reason: Time limit 86.99/85.80 % Termination phase: Saturation 86.99/85.80 86.99/85.80 % Memory used [KB]: 62557 86.99/85.80 % Time elapsed: 1.300 s 86.99/85.80 % ------------------------------ 86.99/85.80 % ------------------------------ 86.99/85.83 % 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 88.30/87.13 % Time limit reached! 88.30/87.13 % ------------------------------ 88.30/87.13 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 88.30/87.13 % Termination reason: Time limit 88.30/87.13 % Termination phase: Saturation 88.30/87.13 88.30/87.13 % Memory used [KB]: 47973 88.30/87.13 % Time elapsed: 1.300 s 88.30/87.13 % ------------------------------ 88.30/87.13 % ------------------------------ 88.30/87.16 % 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 95.92/94.66 % Time limit reached! 95.92/94.66 % ------------------------------ 95.92/94.66 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 95.92/94.66 % Termination reason: Time limit 95.92/94.66 % Termination phase: Saturation 95.92/94.66 95.92/94.66 % Memory used [KB]: 227203 95.92/94.66 % Time elapsed: 7.500 s 95.92/94.66 % ------------------------------ 95.92/94.66 % ------------------------------ 96.03/94.70 % 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 97.29/96.00 % Time limit reached! 97.29/96.00 % ------------------------------ 97.29/96.00 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 97.29/96.00 % Termination reason: Time limit 97.29/96.00 % Termination phase: Saturation 97.29/96.00 97.29/96.00 % Memory used [KB]: 56416 97.29/96.00 % Time elapsed: 1.300 s 97.29/96.00 % ------------------------------ 97.29/96.00 % ------------------------------ 97.36/96.03 % 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 127.85/126.12 % Refutation not found, non-redundant clauses discarded 127.85/126.12 % ------------------------------ 127.85/126.12 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 127.85/126.12 % Termination reason: Refutation not found, non-redundant clauses discarded 127.85/126.12 127.85/126.12 % Memory used [KB]: 453382 127.85/126.12 % Time elapsed: 30.099 s 127.85/126.12 % ------------------------------ 127.85/126.12 % ------------------------------ 127.93/126.18 % 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 129.06/127.28 % Time limit reached! 129.06/127.28 % ------------------------------ 129.06/127.28 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 129.06/127.28 % Termination reason: Time limit 129.06/127.28 % Termination phase: Saturation 129.06/127.28 129.06/127.28 % Memory used [KB]: 35948 129.06/127.28 % Time elapsed: 1.100 s 129.06/127.28 % ------------------------------ 129.06/127.28 % ------------------------------ 129.06/127.31 % 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 129.07/127.81 % Time limit reached! 129.07/127.81 % ------------------------------ 129.07/127.81 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 129.07/127.81 % Termination reason: Time limit 129.07/127.81 % Termination phase: Saturation 129.07/127.81 129.07/127.81 % Memory used [KB]: 18805 129.07/127.81 % Time elapsed: 0.500 s 129.07/127.81 % ------------------------------ 129.07/127.81 % ------------------------------ 129.62/127.84 % 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 130.94/129.14 % Time limit reached! 130.94/129.14 % ------------------------------ 130.94/129.14 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 130.94/129.14 % Termination reason: Time limit 130.94/129.14 % Termination phase: Saturation 130.94/129.14 130.94/129.14 % Memory used [KB]: 33133 130.94/129.14 % Time elapsed: 1.300 s 130.94/129.14 % ------------------------------ 130.94/129.14 % ------------------------------ 130.94/129.17 % 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 132.77/130.96 % Time limit reached! 132.77/130.96 % ------------------------------ 132.77/130.96 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 132.77/130.96 % Termination reason: Time limit 132.77/130.96 % Termination phase: Saturation 132.77/130.96 132.77/130.96 % Memory used [KB]: 28272 132.77/130.96 % Time elapsed: 1.800 s 132.77/130.96 % ------------------------------ 132.77/130.96 % ------------------------------ 132.82/130.99 % 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 134.07/132.29 % Time limit reached! 134.07/132.29 % ------------------------------ 134.07/132.29 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 134.07/132.29 % Termination reason: Time limit 134.07/132.29 % Termination phase: Saturation 134.07/132.29 134.07/132.29 % Memory used [KB]: 45031 134.07/132.29 % Time elapsed: 1.300 s 134.07/132.29 % ------------------------------ 134.07/132.29 % ------------------------------ 134.16/132.32 % 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 135.47/133.62 % Time limit reached! 135.47/133.62 % ------------------------------ 135.47/133.62 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 135.47/133.62 % Termination reason: Time limit 135.47/133.62 % Termination phase: Saturation 135.47/133.62 135.47/133.62 % Memory used [KB]: 44007 135.47/133.62 % Time elapsed: 1.300 s 135.47/133.62 % ------------------------------ 135.47/133.62 % ------------------------------ 135.53/133.65 % 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 136.61/134.75 % Time limit reached! 136.61/134.75 % ------------------------------ 136.61/134.75 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 136.61/134.75 % Termination reason: Time limit 136.61/134.75 % Termination phase: Saturation 136.61/134.75 136.61/134.75 % Memory used [KB]: 27632 136.61/134.75 % Time elapsed: 1.100 s 136.61/134.75 % ------------------------------ 136.61/134.75 % ------------------------------ 136.67/134.78 % 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 137.91/136.06 % Time limit reached! 137.91/136.06 % ------------------------------ 137.91/136.06 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 137.91/136.06 % Termination reason: Time limit 137.91/136.06 % Termination phase: Saturation 137.91/136.06 137.91/136.06 % Memory used [KB]: 56033 137.91/136.06 % Time elapsed: 1.300 s 137.91/136.06 % ------------------------------ 137.91/136.06 % ------------------------------ 138.00/136.09 % 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 138.51/136.59 % Time limit reached! 138.51/136.59 % ------------------------------ 138.51/136.59 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 138.51/136.59 % Termination reason: Time limit 138.51/136.59 % Termination phase: Saturation 138.51/136.59 138.51/136.59 % Memory used [KB]: 19061 138.51/136.59 % Time elapsed: 0.500 s 138.51/136.59 % ------------------------------ 138.51/136.59 % ------------------------------ 138.51/136.62 % 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 139.59/137.70 % Time limit reached! 139.59/137.70 % ------------------------------ 139.59/137.70 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 139.59/137.70 % Termination reason: Time limit 139.59/137.70 % Termination phase: Saturation 139.59/137.70 139.59/137.70 % Memory used [KB]: 49380 139.59/137.70 % Time elapsed: 1.100 s 139.59/137.70 % ------------------------------ 139.59/137.70 % ------------------------------ 139.66/137.73 % 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 140.76/138.81 % Time limit reached! 140.76/138.81 % ------------------------------ 140.76/138.81 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 140.76/138.81 % Termination reason: Time limit 140.76/138.81 % Termination phase: Saturation 140.76/138.81 140.76/138.81 % Memory used [KB]: 18038 140.76/138.81 % Time elapsed: 1.100 s 140.76/138.81 % ------------------------------ 140.76/138.81 % ------------------------------ 140.76/138.83 % 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 141.19/139.31 % Time limit reached! 141.19/139.31 % ------------------------------ 141.19/139.31 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 141.19/139.31 % Termination reason: Time limit 141.19/139.31 % Termination phase: Saturation 141.19/139.31 141.19/139.31 % Memory used [KB]: 22259 141.19/139.31 % Time elapsed: 0.500 s 141.19/139.31 % ------------------------------ 141.19/139.31 % ------------------------------ 141.30/139.34 % 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 142.42/140.44 % Time limit reached! 142.42/140.44 % ------------------------------ 142.42/140.44 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 142.42/140.44 % Termination reason: Time limit 142.42/140.44 % Termination phase: Saturation 142.42/140.44 142.42/140.44 % Memory used [KB]: 18549 142.42/140.44 % Time elapsed: 1.100 s 142.42/140.44 % ------------------------------ 142.42/140.44 % ------------------------------ 142.43/140.46 % 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 144.31/142.36 % Time limit reached! 144.31/142.36 % ------------------------------ 144.31/142.36 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 144.31/142.36 % Termination reason: Time limit 144.31/142.36 % Termination phase: Saturation 144.31/142.36 144.31/142.36 % Memory used [KB]: 60510 144.31/142.36 % Time elapsed: 1.900 s 144.31/142.36 % ------------------------------ 144.31/142.36 % ------------------------------ 144.39/142.40 % 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 144.88/142.89 % Time limit reached! 144.88/142.89 % ------------------------------ 144.88/142.89 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 144.88/142.89 % Termination reason: Time limit 144.88/142.89 % Termination phase: Saturation 144.88/142.89 144.88/142.89 % Memory used [KB]: 21364 144.88/142.89 % Time elapsed: 0.500 s 144.88/142.89 % ------------------------------ 144.88/142.89 % ------------------------------ 144.88/142.92 % 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 144.93/143.27 % Refutation found. Thanks to Tanya! 144.93/143.27 % SZS status Theorem for theBenchmark 144.93/143.27 % SZS output start Proof for theBenchmark 144.93/143.27 26. (setbeta = ! [X3,X0 : ($i > $o),X1] : (((in @ X1) @ X3) => (((in @ X1) @ ((dsetconstr @ X3) @ ^[X2 : $i] : (X0 @ X2))) <=> (X0 @ X1)))) [input] 144.93/143.27 103. (binunionIR = ! [X3,X4,X1] : (((in @ X1) @ X4) => ((in @ X1) @ ((binunion @ X3) @ X4)))) [input] 144.93/143.27 130. symdiff = ^[X3 : $i, X4 : $i] : ((dsetconstr @ ((binunion @ X3) @ X4)) @ ^[X1 : $i] : ~((in @ X1) @ X4) | ~((in @ X1) @ X3)) [input] 144.93/143.27 133. setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => ! [X3,X4,X1] : (~((in @ X1) @ X3) => (((in @ X1) @ X4) => ((in @ X1) @ ((symdiff @ X3) @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [input] 144.93/143.27 134. ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => ! [X3,X4,X1] : (~((in @ X1) @ X3) => (((in @ X1) @ X4) => ((in @ X1) @ ((symdiff @ X3) @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [negated conjecture 133] 144.93/143.27 135. ($false != $true) (TD) [fool axiom] 144.93/143.27 136. ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => ! [X0,X1,X2] : (~((in @ X2) @ X0) => (((in @ X2) @ X1) => ((in @ X2) @ ((symdiff @ X0) @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [rectify 134] 144.93/143.27 137. ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ! [X0,X1,X2] : (~($true = in @ X2 @ X0) => (($true = in @ X2 @ X1) => ($true = in @ X2 @ (symdiff @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [fool elimination 136] 144.93/143.27 354. (setbeta = ! [X0,X1 : ($i > $o),X2] : (((in @ X2) @ X0) => (((in @ X2) @ ((dsetconstr @ X0) @ ^[X3 : $i] : (X1 @ X3))) <=> (X1 @ X2)))) [rectify 26] 144.93/143.27 355. (setbeta = $true) <=> ! [X0,X1 : ($i > $o),X2] : (($true = in @ X2 @ X0) => (X1 @ X2 = in @ X2 @ (dsetconstr @ X0 @ X1))) [fool elimination 354] 144.93/143.27 360. (binunionIR = ! [X0,X1,X2] : (((in @ X2) @ X1) => ((in @ X2) @ ((binunion @ X0) @ X1)))) [rectify 103] 144.93/143.27 361. (binunionIR = $true) <=> ! [X0,X1,X2] : (($true = in @ X2 @ X1) => ($true = in @ X2 @ (binunion @ X0 @ X1))) [fool elimination 360] 144.93/143.27 392. symdiff = ^[X0 : $i, X1 : $i] : ((dsetconstr @ ((binunion @ X0) @ X1)) @ ^[X2 : $i] : ~((in @ X2) @ X1) | ~((in @ X2) @ X0)) [rectify 130] 144.93/143.27 393. symdiff = sCOMB_47 @ (bCOMB_45 @ sCOMB_27 @ (bCOMB_43 @ (bCOMB_25 @ dsetconstr) @ binunion)) @ (cCOMB_39 @ (bCOMB_37 @ bCOMB_23 @ (bCOMB_35 @ sCOMB_22 @ (bCOMB_33 @ (bCOMB_21 @ vOR_15) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))))) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))) [fool elimination 392] 144.93/143.27 406. ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ! [X0,X1,X2] : (($true != in @ X2 @ X0) => (($true = in @ X2 @ X1) => ($true = in @ X2 @ (symdiff @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [flattening 137] 144.93/143.27 449. ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : ((($true != in @ X2 @ (symdiff @ X0 @ X1)) & ($true = in @ X2 @ X1)) & ($true != in @ X2 @ X0)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true) [ennf transformation 406] 144.93/143.27 450. ? [X0,X1,X2] : (($true != in @ X2 @ (symdiff @ X0 @ X1)) & ($true = in @ X2 @ X1) & ($true != in @ X2 @ X0)) & (symdiffI1 = $true) & (symdiffE = $true) & (setminusSubset1 = $true) & (setminusLsub = $true) & (setminusIRneg = $true) & (setminusILneg = $true) & (setminusELneg = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (setminusER = $true) & (setminusEL = $true) & (setminusI = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (binintersectER = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (binintersectLsub = $true) & (binintersectEL = $true) & (binintersectSubset5 = $true) & (binintersectI = $true) & (binunionRsub = $true) & (binunionLsub = $true) & (binunionE = $true) & (binunionEcases = $true) & (binunionIR = $true) & (upairset2IR = $true) & (binunionIL = $true) & (sepSubset = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (inPowerset = $true) & (powersetE1 = $true) & (powersetI1 = $true) & (subsetemptysetimpeq = $true) & (setextsub = $true) & (subset2powerset = $true) & (setadjoinSub2 = $true) & (setadjoinSub = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (notequalI2 = $true) & (notequalI1 = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (subsetE = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (eqimpsubset1 = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (dsetconstr__Cong = $true) & (descr__Cong = $true) & (exuEu = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (exu__Cong = $true) & (exuE3u = $true) & (in__Cong = $true) & (inCongP = $true) & (exuI2 = $true) & (exuI3 = $true) & (exuI1 = $true) & (notdallE = $true) & (notdexE = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (upairsetIR = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (eqinunit = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (nonemptyImpWitness = $true) & (exuE2 = $true) & (subPowSU = $true) & (setunionE = $true) & (setunionI = $true) & (powersetE = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setoftrueEq = $true) & (setadjoinOr = $true) & (setadjoinE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (setext = $true) & (exuE3e = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (emptysetE = $true) & (prop2setE = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) & (descrp = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (setunionAx = $true) & (powersetAx = $true) & (setadjoinAx = $true) & (emptysetAx = $true) & (setextAx = $true) [flattening 449] 144.93/143.27 559. (setbeta = $true) <=> ! [X0,X1 : ($i > $o),X2] : ((X1 @ X2 = in @ X2 @ (dsetconstr @ X0 @ X1)) | ($true != in @ X2 @ X0)) [ennf transformation 355] 144.93/143.27 562. (binunionIR = $true) <=> ! [X0,X1,X2] : (($true = in @ X2 @ (binunion @ X0 @ X1)) | ($true != in @ X2 @ X1)) [ennf transformation 361] 144.93/143.27 656. ? [X0,X1,X2] : (($true != in @ X2 @ (symdiff @ X0 @ X1)) & ($true = in @ X2 @ X1) & ($true != in @ X2 @ X0)) => (($true != in @ sK41 @ (symdiff @ sK39 @ sK40)) & ($true = in @ sK41 @ sK40) & ($true != in @ sK41 @ sK39)) [choice axiom] 144.93/143.27 657. (($true != in @ sK41 @ (symdiff @ sK39 @ sK40)) & ($true = in @ sK41 @ sK40) & ($true != in @ sK41 @ sK39)) & (symdiffI1 = $true) & (symdiffE = $true) & (setminusSubset1 = $true) & (setminusLsub = $true) & (setminusIRneg = $true) & (setminusILneg = $true) & (setminusELneg = $true) & (setminusERneg = $true) & (setminusSubset2 = $true) & (setminusER = $true) & (setminusEL = $true) & (setminusI = $true) & (bs114d = $true) & (binintersectSubset1 = $true) & (binintersectSubset4 = $true) & (binintersectRsub = $true) & (disjointsetsI1 = $true) & (binintersectER = $true) & (binintersectSubset3 = $true) & (binintersectSubset2 = $true) & (binintersectLsub = $true) & (binintersectEL = $true) & (binintersectSubset5 = $true) & (binintersectI = $true) & (binunionRsub = $true) & (binunionLsub = $true) & (binunionE = $true) & (binunionEcases = $true) & (binunionIR = $true) & (upairset2IR = $true) & (binunionIL = $true) & (sepSubset = $true) & (sepInPowerset = $true) & (powersetsubset = $true) & (inPowerset = $true) & (powersetE1 = $true) & (powersetI1 = $true) & (subsetemptysetimpeq = $true) & (setextsub = $true) & (subset2powerset = $true) & (setadjoinSub2 = $true) & (setadjoinSub = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (notequalI2 = $true) & (notequalI1 = $true) & (notsubsetI = $true) & (subsetE2 = $true) & (subsetE = $true) & (emptysetsubset = $true) & (subsetI2 = $true) & (eqimpsubset1 = $true) & (eqimpsubset2 = $true) & (subsetI1 = $true) & (dsetconstr__Cong = $true) & (descr__Cong = $true) & (exuEu = $true) & (omega__Cong = $true) & (setunion__Cong = $true) & (powerset__Cong = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (exu__Cong = $true) & (exuE3u = $true) & (in__Cong = $true) & (inCongP = $true) & (exuI2 = $true) & (exuI3 = $true) & (exuI1 = $true) & (notdallE = $true) & (notdexE = $true) & (prop2set2propI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan3 = $true) & (quantDeMorgan2 = $true) & (quantDeMorgan1 = $true) & (vacuousDall = $true) & (emptyE1 = $true) & (upairsetIR = $true) & (upairsetIL = $true) & (upairsetE = $true) & (singletonsswitch = $true) & (eqinunit = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (nonemptyImpWitness = $true) & (exuE2 = $true) & (subPowSU = $true) & (setunionE = $true) & (setunionI = $true) & (powersetE = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (powersetI = $true) & (setoftrueEq = $true) & (setadjoinOr = $true) & (setadjoinE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (setbeta = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (setext = $true) & (exuE3e = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (emptysetE = $true) & (prop2setE = $true) & (exuE1 = $true) & (dsetconstrER = $true) & (dsetconstrEL = $true) & (dsetconstrI = $true) & (descrp = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (replAx = $true) & (omegaIndAx = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (setunionAx = $true) & (powersetAx = $true) & (setadjoinAx = $true) & (emptysetAx = $true) & (setextAx = $true) [skolemisation 450,656] 144.93/143.27 1204. ((setbeta = $true) | ? [X0,X1 : ($i > $o),X2] : ((X1 @ X2 != in @ X2 @ (dsetconstr @ X0 @ X1)) & ($true = in @ X2 @ X0))) & (! [X0,X1 : ($i > $o),X2] : ((X1 @ X2 = in @ X2 @ (dsetconstr @ X0 @ X1)) | ($true != in @ X2 @ X0)) | (setbeta != $true)) [nnf transformation 559] 144.93/143.27 1205. ((setbeta = $true) | ? [X0,X1 : ($i > $o),X2] : ((X1 @ X2 != in @ X2 @ (dsetconstr @ X0 @ X1)) & ($true = in @ X2 @ X0))) & (! [X3,X4 : ($i > $o),X5] : ((X4 @ X5 = in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true != in @ X5 @ X3)) | (setbeta != $true)) [rectify 1204] 144.93/143.27 1206. ? [X0,X1 : ($i > $o),X2] : ((X1 @ X2 != in @ X2 @ (dsetconstr @ X0 @ X1)) & ($true = in @ X2 @ X0)) => ((sK331 @ sK332 != in @ sK332 @ (dsetconstr @ sK330 @ sK331)) & ($true = in @ sK332 @ sK330)) [choice axiom] 144.93/143.27 1207. ((setbeta = $true) | ((sK331 @ sK332 != in @ sK332 @ (dsetconstr @ sK330 @ sK331)) & ($true = in @ sK332 @ sK330))) & (! [X3,X4 : ($i > $o),X5] : ((X4 @ X5 = in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true != in @ X5 @ X3)) | (setbeta != $true)) [skolemisation 1205,1206] 144.93/143.27 1216. ((binunionIR = $true) | ? [X0,X1,X2] : (($true != in @ X2 @ (binunion @ X0 @ X1)) & ($true = in @ X2 @ X1))) & (! [X0,X1,X2] : (($true = in @ X2 @ (binunion @ X0 @ X1)) | ($true != in @ X2 @ X1)) | (binunionIR != $true)) [nnf transformation 562] 144.93/143.27 1217. ((binunionIR = $true) | ? [X0,X1,X2] : (($true != in @ X2 @ (binunion @ X0 @ X1)) & ($true = in @ X2 @ X1))) & (! [X3,X4,X5] : (($true = in @ X5 @ (binunion @ X3 @ X4)) | ($true != in @ X5 @ X4)) | (binunionIR != $true)) [rectify 1216] 144.93/143.27 1218. ? [X0,X1,X2] : (($true != in @ X2 @ (binunion @ X0 @ X1)) & ($true = in @ X2 @ X1)) => (($true != in @ sK341 @ (binunion @ sK339 @ sK340)) & ($true = in @ sK341 @ sK340)) [choice axiom] 144.93/143.27 1219. ((binunionIR = $true) | (($true != in @ sK341 @ (binunion @ sK339 @ sK340)) & ($true = in @ sK341 @ sK340))) & (! [X3,X4,X5] : (($true = in @ X5 @ (binunion @ X3 @ X4)) | ($true != in @ X5 @ X4)) | (binunionIR != $true)) [skolemisation 1217,1218] 144.93/143.27 1322. (setbeta = $true) [cnf transformation 657] 144.93/143.27 1398. (binunionIR = $true) [cnf transformation 657] 144.93/143.27 1427. ($true != in @ sK41 @ sK39) [cnf transformation 657] 144.93/143.27 1428. ($true = in @ sK41 @ sK40) [cnf transformation 657] 144.93/143.27 1429. ($true != in @ sK41 @ (symdiff @ sK39 @ sK40)) [cnf transformation 657] 144.93/143.27 1892. (X4 @ X5 = in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true != in @ X5 @ X3) | (setbeta != $true) [cnf transformation 1207] 144.93/143.27 1901. ($true = in @ X5 @ (binunion @ X3 @ X4)) | ($true != in @ X5 @ X4) | (binunionIR != $true) [cnf transformation 1219] 144.93/143.27 1982. symdiff = sCOMB_47 @ (bCOMB_45 @ sCOMB_27 @ (bCOMB_43 @ (bCOMB_25 @ dsetconstr) @ binunion)) @ (cCOMB_39 @ (bCOMB_37 @ bCOMB_23 @ (bCOMB_35 @ sCOMB_22 @ (bCOMB_33 @ (bCOMB_21 @ vOR_15) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))))) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))) [cnf transformation 393] 144.93/143.27 1985. ($true != in @ sK41 @ (sCOMB_47 @ (bCOMB_45 @ sCOMB_27 @ (bCOMB_43 @ (bCOMB_25 @ dsetconstr) @ binunion)) @ (cCOMB_39 @ (bCOMB_37 @ bCOMB_23 @ (bCOMB_35 @ sCOMB_22 @ (bCOMB_33 @ (bCOMB_21 @ vOR_15) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))))) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))) @ sK39 @ sK40)) [definition unfolding 1429,1982] 144.93/143.27 2325. (X4 @ X5 = in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true != in @ X5 @ X3) | ($true != $true) [definition unfolding 1892,1322] 144.93/143.27 2334. ($true = in @ X5 @ (binunion @ X3 @ X4)) | ($true != in @ X5 @ X4) | ($true != $true) [definition unfolding 1901,1398] 144.93/143.27 2471. ($true = in @ X5 @ (binunion @ X3 @ X4)) | ($true != in @ X5 @ X4) [trivial inequality removal 2334] 144.93/143.27 2474. (X4 @ X5 = in @ X5 @ (dsetconstr @ X3 @ X4)) | ($true != in @ X5 @ X3) [trivial inequality removal 2325] 144.93/143.27 3027. ($true != in @ sK41 @ (bCOMB_45 @ sCOMB_27 @ (bCOMB_43 @ (bCOMB_25 @ dsetconstr) @ binunion) @ sK39 @ (cCOMB_39 @ (bCOMB_37 @ bCOMB_23 @ (bCOMB_35 @ sCOMB_22 @ (bCOMB_33 @ (bCOMB_21 @ vOR_15) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))))) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in)) @ sK39) @ sK40)) [S combinator elimination 1985] 144.93/143.27 3028. ($true != in @ sK41 @ (bCOMB_45 @ sCOMB_27 @ (bCOMB_43 @ (bCOMB_25 @ dsetconstr) @ binunion) @ sK39 @ (bCOMB_37 @ bCOMB_23 @ (bCOMB_35 @ sCOMB_22 @ (bCOMB_33 @ (bCOMB_21 @ vOR_15) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in)))) @ sK39 @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))) @ sK40)) [C combinator elimination 3027] 144.93/143.27 3029. ($true != in @ sK41 @ (bCOMB_45 @ sCOMB_27 @ (bCOMB_43 @ (bCOMB_25 @ dsetconstr) @ binunion) @ sK39 @ (bCOMB_23 @ (bCOMB_35 @ sCOMB_22 @ (bCOMB_33 @ (bCOMB_21 @ vOR_15) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))) @ sK39) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))) @ sK40)) [B combinator elimination 3028] 144.93/143.27 3030. ($true != in @ sK41 @ (bCOMB_45 @ sCOMB_27 @ (bCOMB_43 @ (bCOMB_25 @ dsetconstr) @ binunion) @ sK39 @ (bCOMB_23 @ (sCOMB_22 @ (bCOMB_33 @ (bCOMB_21 @ vOR_15) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in)) @ sK39)) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))) @ sK40)) [B combinator elimination 3029] 144.93/143.27 3031. ($true != in @ sK41 @ (bCOMB_45 @ sCOMB_27 @ (bCOMB_43 @ (bCOMB_25 @ dsetconstr) @ binunion) @ sK39 @ (bCOMB_23 @ (sCOMB_22 @ (bCOMB_21 @ vOR_15 @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in) @ sK39))) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))) @ sK40)) [B combinator elimination 3030] 144.93/143.27 3032. ($true != in @ sK41 @ (bCOMB_45 @ sCOMB_27 @ (bCOMB_43 @ (bCOMB_25 @ dsetconstr) @ binunion) @ sK39 @ (bCOMB_23 @ (sCOMB_22 @ (bCOMB_21 @ vOR_15 @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK39)))) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))) @ sK40)) [B combinator elimination 3031] 144.93/143.27 3033. ($true != in @ sK41 @ (sCOMB_27 @ (bCOMB_43 @ (bCOMB_25 @ dsetconstr) @ binunion @ sK39) @ (bCOMB_23 @ (sCOMB_22 @ (bCOMB_21 @ vOR_15 @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK39)))) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in))) @ sK40)) [B combinator elimination 3032] 144.93/143.27 3034. ($true != in @ sK41 @ (bCOMB_43 @ (bCOMB_25 @ dsetconstr) @ binunion @ sK39 @ sK40 @ (bCOMB_23 @ (sCOMB_22 @ (bCOMB_21 @ vOR_15 @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK39)))) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in)) @ sK40))) [S combinator elimination 3033] 144.93/143.27 3035. ($true != in @ sK41 @ (bCOMB_43 @ (bCOMB_25 @ dsetconstr) @ binunion @ sK39 @ sK40 @ (sCOMB_22 @ (bCOMB_21 @ vOR_15 @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK39))) @ (bCOMB_23 @ (bCOMB_18 @ vNOT_14) @ (cCOMB_16 @ in) @ sK40)))) [B combinator elimination 3034] 144.93/143.27 3036. ($true != in @ sK41 @ (bCOMB_43 @ (bCOMB_25 @ dsetconstr) @ binunion @ sK39 @ sK40 @ (sCOMB_22 @ (bCOMB_21 @ vOR_15 @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK39))) @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK40))))) [B combinator elimination 3035] 144.93/143.27 3037. ($true != in @ sK41 @ (bCOMB_25 @ dsetconstr @ (binunion @ sK39) @ sK40 @ (sCOMB_22 @ (bCOMB_21 @ vOR_15 @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK39))) @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK40))))) [B combinator elimination 3036] 144.93/143.27 3038. ($true != in @ sK41 @ (dsetconstr @ (binunion @ sK39 @ sK40) @ (sCOMB_22 @ (bCOMB_21 @ vOR_15 @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK39))) @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK40))))) [B combinator elimination 3037] 144.93/143.27 3861. ($true != $true) | ($false = in @ sK41 @ sK39) [fool paramodulation 1427] 144.93/143.27 3862. ($false = in @ sK41 @ sK39) [trivial inequality removal 3861] 144.93/143.27 18701. ($true != vOR_15 @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK39) @ sK41) @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK40) @ sK41)) | ($true != in @ sK41 @ (binunion @ sK39 @ sK40)) [paramodulation 3038,2474] 144.93/143.27 18705. ($true != vOR_15 @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK39) @ sK41) @ (vNOT_14 @ (cCOMB_16 @ in @ sK40 @ sK41))) | ($true != in @ sK41 @ (binunion @ sK39 @ sK40)) [B combinator elimination 18701] 144.93/143.27 18706. ($true != vOR_15 @ (bCOMB_18 @ vNOT_14 @ (cCOMB_16 @ in @ sK39) @ sK41) @ (vNOT_14 @ (in @ sK41 @ sK40))) | ($true != in @ sK41 @ (binunion @ sK39 @ sK40)) [C combinator elimination 18705] 144.93/143.27 18707. ($true != vOR_15 @ (vNOT_14 @ (cCOMB_16 @ in @ sK39 @ sK41)) @ (vNOT_14 @ (in @ sK41 @ sK40))) | ($true != in @ sK41 @ (binunion @ sK39 @ sK40)) [B combinator elimination 18706] 144.93/143.27 18708. ($true != vOR_15 @ (vNOT_14 @ (in @ sK41 @ sK39)) @ (vNOT_14 @ (in @ sK41 @ sK40))) | ($true != in @ sK41 @ (binunion @ sK39 @ sK40)) [C combinator elimination 18707] 144.93/143.27 18721. 975 <=> ($true != in @ sK41 @ (binunion @ sK39 @ sK40)) [avatar definition] 144.93/143.27 18722. ($true != in @ sK41 @ (binunion @ sK39 @ sK40)) <- {975} [avatar component clause 18721] 144.93/143.27 18727. 977 <=> ($true != vOR_15 @ (vNOT_14 @ $false) @ (vNOT_14 @ $true)) [avatar definition] 144.93/143.27 18728. ($true != vOR_15 @ (vNOT_14 @ $false) @ (vNOT_14 @ $true)) <- {977} [avatar component clause 18727] 144.93/143.27 18730. ($true != vOR_15 @ (vNOT_14 @ (in @ sK41 @ sK39)) @ (vNOT_14 @ $true)) | ($true != in @ sK41 @ (binunion @ sK39 @ sK40)) [forward demodulation 18708,1428] 144.93/143.27 18731. ($true != vOR_15 @ (vNOT_14 @ $false) @ (vNOT_14 @ $true)) | ($true != in @ sK41 @ (binunion @ sK39 @ sK40)) [forward demodulation 18730,3862] 144.93/143.27 18732. ~975 | ~977 [avatar split clause 18731,18727,18721] 144.93/143.27 18736. ($true != $true) | ($true != in @ sK41 @ sK40) <- {975} [superposition 18722,2471] 144.93/143.27 18740. ($true != in @ sK41 @ sK40) <- {975} [trivial inequality removal 18736] 144.93/143.27 18745. ($true != $true) <- {975} [superposition 18740,1428] 144.93/143.27 18749. $false <- {975} [trivial inequality removal 18745] 144.93/143.27 18750. 975 [avatar contradiction clause 18749] 144.93/143.27 18774. ($false = vNOT_14 @ $false) <- {977} [HOL binary constant elimination 18728] 144.93/143.27 18790. ($false = $true) <- {977} [HOL not constant elimination 18774] 144.93/143.27 18792. ($false != $false) <- {977} [superposition 135,18790] 144.93/143.27 18951. $false <- {977} [trivial inequality removal 18792] 144.93/143.27 18952. 977 [avatar contradiction clause 18951] 144.93/143.27 19006. $false [avatar sat refutation 18732,18750,18952] 144.93/143.27 % SZS output end Proof for theBenchmark 144.93/143.27 % ------------------------------ 144.93/143.27 % Version: Vampire 4.2.2 (commit 9d3eacc on 2019-04-30 12:01:32 +0100) 144.93/143.27 % Termination reason: Refutation 144.93/143.27 144.93/143.27 % Memory used [KB]: 14967 144.93/143.27 % Time elapsed: 0.349 s 144.93/143.27 % ------------------------------ 144.93/143.27 % ------------------------------ 144.93/143.27 % Success in time 142.939 s 144.93/143.28 EOF