0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.15 % Command : run_vampire %s %d 0.13/0.37 Computer : n021.cluster.edu 0.13/0.37 Model : x86_64 x86_64 0.13/0.37 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.37 RAMPerCPU : 8042.1875MB 0.13/0.37 OS : Linux 3.10.0-693.el7.x86_64 0.13/0.37 % CPULimit : 960 0.13/0.37 % WCLimit : 120 0.13/0.37 % DateTime : Tue Aug 9 03:06:50 EDT 2022 0.21/0.37 % CPUTime : 0.21/0.37 This is a FOF_ problem 0.21/0.38 Running vampire --ignore_missing on --mode casc --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.38 Running in auto input_syntax mode. Trying TPTP 0.21/0.40 % (28048)WARNING: value z3 for option sas not known 0.21/0.40 % (28049)dis+2_2:1_aac=none:afp=100000:afq=1.1:amm=sco:anc=none:bsr=on:fsr=off:gs=on:gsem=on:lcm=reverse:lma=on:nm=64:nwc=1:sos=on:thsq=on_6 on theBenchmark 0.21/0.40 % (28050)dis+1011_24_add=large:afr=on:afp=4000:afq=1.0:anc=none:bs=unit_only:bce=on:cond=fast:gs=on:nm=32:nwc=2.5:nicw=on:sp=occurrence:updr=off:thsq=on_39 on theBenchmark 0.21/0.40 % (28052)lrs+11_128_av=off:bsr=on:cond=on:gs=on:lcm=reverse:lma=on:nm=32:nwc=1:stl=30:sd=5:ss=axioms:st=3.0:thsq=on_1 on theBenchmark 0.21/0.42 % (28051)lrs+1011_5_add=large:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off:thsq=on_10 on theBenchmark 0.21/0.42 % (28053)WARNING: value z3 for option sas not known 0.21/0.42 % (28054)lrs+11_20_av=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=theory:sp=reverse_arity:uhcvi=on:thsq=on_3 on theBenchmark 0.21/0.42 % (28048)lrs+2_3:1_add=large:afr=on:afp=10000:afq=1.1:amm=off:anc=none:er=known:fde=unused:gs=on:gsaa=from_current:gsem=on:lma=on:nm=32:newcnf=on:nwc=4:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sac=on:sp=occurrence:updr=off:thsq=on_2 on theBenchmark 0.21/0.42 % (28059)lrs+1011_7_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:thsq=on_2 on theBenchmark 0.21/0.42 % (28051)Refutation not found, incomplete strategy% (28051)------------------------------ 0.21/0.42 % (28051)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.21/0.42 % (28049)Refutation not found, incomplete strategy% (28049)------------------------------ 0.21/0.42 % (28049)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.21/0.42 % (28049)Termination reason: Refutation not found, incomplete strategy 0.21/0.42 0.21/0.42 % (28049)Memory used [KB]: 11001 0.21/0.42 % (28049)Time elapsed: 0.004 s 0.21/0.42 % (28049)------------------------------ 0.21/0.42 % (28049)------------------------------ 0.21/0.43 % (28060)lrs+10_4:1_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:thsq=on_22 on theBenchmark 0.21/0.43 % (28058)lrs-3_4:1_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:thsq=on_11 on theBenchmark 0.21/0.43 % (28051)Termination reason: Refutation not found, incomplete strategy 0.21/0.43 0.21/0.43 % (28051)Memory used [KB]: 6524 0.21/0.43 % (28051)Time elapsed: 0.005 s 0.21/0.43 % (28051)------------------------------ 0.21/0.43 % (28051)------------------------------ 0.21/0.43 % (28056)lrs+11_1_add=large:afr=on:afp=100000:afq=2.0:amm=off:anc=none:bd=off:gs=on:gsem=on:irw=on:nm=32:newcnf=on:nwc=2.5:nicw=on:stl=30:sd=3:ss=axioms:sos=all:urr=on:thsq=on_34 on theBenchmark 0.21/0.43 % (28075)WARNING: value z3 for option sas not known 0.21/0.43 % (28061)WARNING: value z3 for option sas not known 0.21/0.43 % (28075)lrs+11_4:1_aac=none:add=large:afr=on:afp=10000:afq=1.0:amm=sco:anc=none:cond=on:er=filter:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off:thsq=on_3 on theBenchmark 0.21/0.43 % (28053)ott+11_16_av=off:gs=on:gsem=on:irw=on:lma=on:nm=64:newcnf=on:nwc=1.3:sas=z3:sp=reverse_arity:thsq=on_14 on theBenchmark 0.21/0.43 % (28062)lrs+1011_3:1_add=off:afr=on:afp=10000:afq=1.1:amm=off:bce=on:cond=on:ep=R:fsr=off:nm=16:nwc=1:stl=30:sos=all:sp=reverse_arity:updr=off:thsq=on_9 on theBenchmark 0.21/0.44 % (28065)WARNING: value z3 for option sas not known 0.21/0.44 % (28057)lrs+1003_3_awrs=decay:awrsf=4:add=large:afr=on:afp=100000:afq=2.0:amm=sco:bd=off:cond=fast:fsr=off:fde=unused:gs=on:gsem=on:nm=6:nwc=1:stl=30:sd=1:ss=axioms:st=1.2:sos=on:sac=on:sp=frequency:urr=on:updr=off:thsq=on_2 on theBenchmark 0.21/0.44 % (28076)dis+1010_3:2_av=off:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark 0.21/0.44 % (28072)dis+1_3:2_acc=on:add=off:afr=on:afp=40000:afq=1.0:amm=sco:anc=none:ccuc=small_ones:cond=on:lma=on:nm=64:nwc=1.3:sos=all:urr=on:thsq=on_111 on theBenchmark 0.21/0.44 % (28074)dis+1002_6_add=large:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off:thsq=on_10 on theBenchmark 0.21/0.44 % (28068)dis+1011_10_av=off:cond=on:lma=on:nm=0:newcnf=on:nwc=1:sos=on:sp=occurrence:updr=off:thsq=on_4 on theBenchmark 0.21/0.44 % (28057)Refutation not found, incomplete strategy% (28057)------------------------------ 0.21/0.44 % (28057)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.21/0.44 % (28057)Termination reason: Refutation not found, incomplete strategy 0.21/0.44 0.21/0.44 % (28057)Memory used [KB]: 11001 0.21/0.44 % (28057)Time elapsed: 0.041 s 0.21/0.44 % (28057)------------------------------ 0.21/0.44 % (28057)------------------------------ 0.21/0.44 % (28073)lrs+1011_8:1_afr=on:afp=1000:afq=2.0:br=off:gsp=input_only:gs=on:nm=16:nwc=1:stl=30:sos=all:sp=occurrence:urr=on:thsq=on_8 on theBenchmark 0.21/0.44 % (28065)ott+1002_8:1_add=off:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sas=z3:sp=occurrence:urr=on:updr=off:thsq=on_14 on theBenchmark 0.21/0.44 % (28064)ott+11_4_afp=100000:afq=1.2:amm=sco:anc=none:cond=fast:ep=R:fde=none:gs=on:gsaa=from_current:gsem=off:lma=on:nm=16:nwc=1:sd=3:ss=axioms:updr=off:thsq=on_2 on theBenchmark 0.22/0.45 % (28067)lrs+1011_5:4_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:thsq=on_126 on theBenchmark 0.22/0.45 % (28070)ott+4_40_av=off:bce=on:cond=fast:fde=none:nm=0:nwc=1:sos=all:updr=off:thsq=on_197 on theBenchmark 0.22/0.45 % (28073)Refutation not found, incomplete strategy% (28073)------------------------------ 0.22/0.45 % (28073)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.45 % (28073)Termination reason: Refutation not found, incomplete strategy 0.22/0.45 0.22/0.45 % (28073)Memory used [KB]: 11001 0.22/0.45 % (28073)Time elapsed: 0.051 s 0.22/0.45 % (28073)------------------------------ 0.22/0.45 % (28073)------------------------------ 0.22/0.45 % (28070)Refutation not found, incomplete strategy% (28070)------------------------------ 0.22/0.45 % (28070)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.45 % (28070)Termination reason: Refutation not found, incomplete strategy 0.22/0.45 0.22/0.45 % (28070)Memory used [KB]: 2046 0.22/0.45 % (28070)Time elapsed: 0.049 s 0.22/0.45 % (28070)------------------------------ 0.22/0.45 % (28070)------------------------------ 0.22/0.45 % (28069)dis+1002_7_acc=on:afp=4000:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off:thsq=on_8 on theBenchmark 0.22/0.45 % (28067)Refutation not found, incomplete strategy% (28067)------------------------------ 0.22/0.45 % (28067)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.45 % (28067)Termination reason: Refutation not found, incomplete strategy 0.22/0.45 0.22/0.45 % (28067)Memory used [KB]: 11001 0.22/0.45 % (28067)Time elapsed: 0.054 s 0.22/0.45 % (28067)------------------------------ 0.22/0.45 % (28067)------------------------------ 0.22/0.45 % (28071)lrs+1010_3_av=off:fsr=off:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off:thsq=on_9 on theBenchmark 0.22/0.45 % (28066)lrs+1011_10_aac=none:acc=model:add=large:afp=40000:afq=2.0:anc=none:bd=off:bsr=on:fsr=off:gs=on:gsem=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=3:nicw=on:stl=30:thsq=on_19 on theBenchmark 0.22/0.45 % (28061)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:bce=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:sas=z3:stl=30:sp=reverse_arity:urr=on:thsq=on_13 on theBenchmark 0.22/0.45 % (28068)Refutation not found, incomplete strategy% (28068)------------------------------ 0.22/0.45 % (28068)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.45 % (28068)Termination reason: Refutation not found, incomplete strategy 0.22/0.45 0.22/0.45 % (28068)Memory used [KB]: 2046 0.22/0.45 % (28068)Time elapsed: 0.054 s 0.22/0.45 % (28068)------------------------------ 0.22/0.45 % (28068)------------------------------ 0.22/0.45 % (28056)Refutation not found, incomplete strategy% (28056)------------------------------ 0.22/0.45 % (28056)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.45 % (28056)Termination reason: Refutation not found, incomplete strategy 0.22/0.45 0.22/0.45 % (28056)Memory used [KB]: 11001 0.22/0.45 % (28056)Time elapsed: 0.052 s 0.22/0.45 % (28056)------------------------------ 0.22/0.45 % (28056)------------------------------ 0.22/0.45 % (28063)dis+1_2:3_acc=on:add=large:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1:thsq=on_3 on theBenchmark 0.22/0.46 % (28072)Refutation not found, incomplete strategy% (28072)------------------------------ 0.22/0.46 % (28072)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.46 % (28064)Refutation not found, incomplete strategy% (28064)------------------------------ 0.22/0.46 % (28064)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.46 % (28072)Termination reason: Refutation not found, incomplete strategy 0.22/0.46 0.22/0.46 % (28072)Memory used [KB]: 6524 0.22/0.46 % (28072)Time elapsed: 0.065 s 0.22/0.46 % (28072)------------------------------ 0.22/0.46 % (28072)------------------------------ 0.22/0.46 % (28064)Termination reason: Refutation not found, incomplete strategy 0.22/0.46 0.22/0.46 % (28064)Memory used [KB]: 11001 0.22/0.46 % (28064)Time elapsed: 0.064 s 0.22/0.46 % (28064)------------------------------ 0.22/0.46 % (28064)------------------------------ 0.22/0.46 % (28055)ott+2_2_afp=10000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity:thsq=on_18 on theBenchmark 0.22/0.46 % (28055)Refutation not found, incomplete strategy% (28055)------------------------------ 0.22/0.46 % (28055)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.46 % (28055)Termination reason: Refutation not found, incomplete strategy 0.22/0.46 0.22/0.46 % (28055)Memory used [KB]: 11001 0.22/0.46 % (28055)Time elapsed: 0.050 s 0.22/0.46 % (28055)------------------------------ 0.22/0.46 % (28055)------------------------------ 0.22/0.47 % (28047)lrs-11_12_av=off:nm=32:nwc=1.3:stl=30:sd=3:ss=axioms:sos=all:thsq=on_2 on theBenchmark 0.22/0.47 % (28047)Refutation not found, incomplete strategy% (28047)------------------------------ 0.22/0.47 % (28047)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.47 % (28047)Termination reason: Refutation not found, incomplete strategy 0.22/0.47 0.22/0.47 % (28047)Memory used [KB]: 2046 0.22/0.47 % (28047)Time elapsed: 0.065 s 0.22/0.47 % (28047)------------------------------ 0.22/0.47 % (28047)------------------------------ 0.22/0.47 % (28069)Refutation not found, incomplete strategy% (28069)------------------------------ 0.22/0.47 % (28069)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.47 % (28069)Termination reason: Refutation not found, incomplete strategy 0.22/0.47 0.22/0.47 % (28069)Memory used [KB]: 11001 0.22/0.47 % (28069)Time elapsed: 0.073 s 0.22/0.47 % (28069)------------------------------ 0.22/0.47 % (28069)------------------------------ 0.22/0.47 % (28078)WARNING: value z3 for option sas not known 0.22/0.48 % (28078)lrs+1010_4_awrs=decay:awrsf=64:add=large:afp=4000:afq=1.2:amm=off:anc=none:bs=on:bsr=on:fde=none:gs=on:gsaa=from_current:gsem=on:lma=on:newcnf=on:nwc=1.7:sas=z3:stl=30:sd=10:ss=axioms:s2a=on:st=1.2:sp=frequency:updr=off:uhcvi=on:thsq=on_20 on theBenchmark 0.22/0.50 % (28084)lrs+10_12_add=off:afp=100000:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on:thsq=on_41 on theBenchmark 0.22/0.50 % (28082)WARNING: value z3 for option sas not known 0.22/0.50 % (28082)lrs+11_3:2_add=large:afp=1000:afq=1.1:amm=sco:anc=none:bd=off:er=filter:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:sas=z3:stl=30:sp=occurrence:urr=on:updr=off:thsq=on_100 on theBenchmark 0.22/0.50 % (28081)dis+1010_8_acc=model:afp=4000:afq=1.0:anc=none:bd=off:bs=unit_only:bce=on:cond=fast:fde=unused:gs=on:gsem=off:lma=on:nm=0:nwc=4:sd=3:ss=axioms:st=2.0:sac=on:sp=occurrence:urr=ec_only:thsq=on_1 on theBenchmark 0.22/0.50 % (28079)dis+1010_3:2_acc=on:afr=on:afp=1000:afq=1.2:amm=sco:bs=on:ccuc=first:fde=none:nm=0:nwc=4:sd=3:ss=axioms:st=5.0:urr=ec_only:thsq=on_12 on theBenchmark 0.22/0.50 % (28085)lrs+10_8:1_av=off:bs=unit_only:cond=on:fde=unused:irw=on:lcm=predicate:lma=on:nm=64:nwc=1.2:stl=30:sos=all:sp=reverse_arity:urr=on:updr=off:thsq=on_12 on theBenchmark 0.22/0.51 % (28086)dis+11_1024_av=off:bd=off:bs=on:cond=on:gs=on:lma=on:nm=16:nwc=1:sp=occurrence:updr=off:thsq=on_143 on theBenchmark 0.22/0.51 % (28077)lrs+11_1_av=off:bsr=on:gsp=input_only:gs=on:lcm=predicate:nm=64:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=all:sp=occurrence:updr=off:thsq=on_245 on theBenchmark 0.22/0.51 % (28087)lrs+10_8:1_av=off:bsr=on:gs=on:gsem=on:irw=on:lcm=predicate:lwlo=on:nm=64:nwc=1:stl=30:sos=all:updr=off:thsq=on_78 on theBenchmark 0.22/0.51 % (28077)Refutation not found, incomplete strategy% (28077)------------------------------ 0.22/0.51 % (28077)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.51 % (28077)Termination reason: Refutation not found, incomplete strategy 0.22/0.51 0.22/0.51 % (28077)Memory used [KB]: 6524 0.22/0.51 % (28077)Time elapsed: 0.074 s 0.22/0.51 % (28077)------------------------------ 0.22/0.51 % (28077)------------------------------ 0.22/0.51 % (28087)Refutation not found, incomplete strategy% (28087)------------------------------ 0.22/0.51 % (28087)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.51 % (28087)Termination reason: Refutation not found, incomplete strategy 0.22/0.51 0.22/0.51 % (28087)Memory used [KB]: 6524 0.22/0.51 % (28087)Time elapsed: 0.042 s 0.22/0.51 % (28087)------------------------------ 0.22/0.51 % (28087)------------------------------ 0.22/0.51 % (28085)Refutation not found, incomplete strategy% (28085)------------------------------ 0.22/0.51 % (28085)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.51 % (28085)Termination reason: Refutation not found, incomplete strategy 0.22/0.51 0.22/0.51 % (28085)Memory used [KB]: 2046 0.22/0.51 % (28085)Time elapsed: 0.035 s 0.22/0.51 % (28085)------------------------------ 0.22/0.51 % (28085)------------------------------ 0.22/0.51 % (28062)First to succeed. 0.22/0.52 % (28083)dis+10_4_av=off:bsr=on:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on:thsq=on_8 on theBenchmark 0.22/0.52 % (28062)Refutation found. Thanks to Tanya! 0.22/0.52 % SZS status Theorem for theBenchmark 0.22/0.52 % SZS output start Proof for theBenchmark 0.22/0.52 tff(pred_def_3, type, sQ5_eqProxy: !>[X0: $tType]:((X0 * X0) > $o)). 0.22/0.52 fof(f793,plain,( 0.22/0.52 $false), 0.22/0.52 inference(avatar_sat_refutation,[],[f87,f88,f159,f196,f213,f353,f355,f370,f384,f385,f535,f565,f566,f567,f568,f569,f666,f668,f702,f703,f704,f705,f761,f769,f770,f771,f784,f785,f788,f789,f790,f791,f792])). 0.22/0.52 fof(f792,plain,( 0.22/0.52 spl6_17 | ~spl6_11), 0.22/0.52 inference(avatar_split_clause,[],[f754,f206,f532])). 0.22/0.52 fof(f532,plain,( 0.22/0.52 spl6_17 <=> member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK1)), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl6_17])])). 0.22/0.52 fof(f206,plain,( 0.22/0.52 spl6_11 <=> member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK1,sK2))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl6_11])])). 0.22/0.52 fof(f754,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK1) | ~spl6_11), 0.22/0.52 inference(resolution,[],[f208,f53])). 0.22/0.52 fof(f53,plain,( 0.22/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (member(X2,X0) | ~member(X2,intersection(X0,X1))) )), 0.22/0.52 inference(cnf_transformation,[],[f31])). 0.22/0.52 fof(f31,plain,( 0.22/0.52 ! [X0,X1,X2] : ((member(X2,intersection(X0,X1)) | ~member(X2,X1) | ~member(X2,X0)) & ((member(X2,X1) & member(X2,X0)) | ~member(X2,intersection(X0,X1))))), 0.22/0.52 inference(flattening,[],[f30])). 0.22/0.52 fof(f30,plain,( 0.22/0.52 ! [X0,X1,X2] : ((member(X2,intersection(X0,X1)) | (~member(X2,X1) | ~member(X2,X0))) & ((member(X2,X1) & member(X2,X0)) | ~member(X2,intersection(X0,X1))))), 0.22/0.52 inference(nnf_transformation,[],[f15])). 0.22/0.52 fof(f15,axiom,( 0.22/0.52 ! [X0,X1,X2] : (member(X2,intersection(X0,X1)) <=> (member(X2,X1) & member(X2,X0)))), 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn)). 0.22/0.52 fof(f208,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK1,sK2)) | ~spl6_11), 0.22/0.52 inference(avatar_component_clause,[],[f206])). 0.22/0.52 fof(f791,plain,( 0.22/0.52 spl6_15 | ~spl6_7), 0.22/0.52 inference(avatar_split_clause,[],[f169,f133,f363])). 0.22/0.52 fof(f363,plain,( 0.22/0.52 spl6_15 <=> member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK0)), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl6_15])])). 0.22/0.52 fof(f133,plain,( 0.22/0.52 spl6_7 <=> member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK2,sK0))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])). 0.22/0.52 fof(f169,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK0) | ~spl6_7), 0.22/0.52 inference(resolution,[],[f135,f54])). 0.22/0.52 fof(f54,plain,( 0.22/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (member(X2,X1) | ~member(X2,intersection(X0,X1))) )), 0.22/0.52 inference(cnf_transformation,[],[f31])). 0.22/0.52 fof(f135,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK2,sK0)) | ~spl6_7), 0.22/0.52 inference(avatar_component_clause,[],[f133])). 0.22/0.52 fof(f790,plain,( 0.22/0.52 ~spl6_15 | spl6_9), 0.22/0.52 inference(avatar_split_clause,[],[f660,f182,f363])). 0.22/0.52 fof(f182,plain,( 0.22/0.52 spl6_9 <=> member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK0,sK1))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl6_9])])). 0.22/0.52 fof(f660,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK0) | spl6_9), 0.22/0.52 inference(resolution,[],[f184,f58])). 0.22/0.52 fof(f58,plain,( 0.22/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (member(X2,union(X0,X1)) | ~member(X2,X0)) )), 0.22/0.52 inference(cnf_transformation,[],[f33])). 0.22/0.52 fof(f33,plain,( 0.22/0.52 ! [X0,X1,X2] : ((member(X2,union(X0,X1)) | (~member(X2,X0) & ~member(X2,X1))) & (member(X2,X0) | member(X2,X1) | ~member(X2,union(X0,X1))))), 0.22/0.52 inference(flattening,[],[f32])). 0.22/0.52 fof(f32,plain,( 0.22/0.52 ! [X0,X1,X2] : ((member(X2,union(X0,X1)) | (~member(X2,X0) & ~member(X2,X1))) & ((member(X2,X0) | member(X2,X1)) | ~member(X2,union(X0,X1))))), 0.22/0.52 inference(nnf_transformation,[],[f4])). 0.22/0.52 fof(f4,axiom,( 0.22/0.52 ! [X0,X1,X2] : (member(X2,union(X0,X1)) <=> (member(X2,X0) | member(X2,X1)))), 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)). 0.22/0.52 fof(f184,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK0,sK1)) | spl6_9), 0.22/0.52 inference(avatar_component_clause,[],[f182])). 0.22/0.52 fof(f789,plain,( 0.22/0.52 ~spl6_11 | spl6_8), 0.22/0.52 inference(avatar_split_clause,[],[f221,f137,f206])). 0.22/0.52 fof(f137,plain,( 0.22/0.52 spl6_8 <=> member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(intersection(sK0,sK1),intersection(sK1,sK2)))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl6_8])])). 0.22/0.52 fof(f221,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK1,sK2)) | spl6_8), 0.22/0.52 inference(resolution,[],[f138,f57])). 0.22/0.52 fof(f57,plain,( 0.22/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (member(X2,union(X0,X1)) | ~member(X2,X1)) )), 0.22/0.52 inference(cnf_transformation,[],[f33])). 0.22/0.52 fof(f138,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(intersection(sK0,sK1),intersection(sK1,sK2))) | spl6_8), 0.22/0.52 inference(avatar_component_clause,[],[f137])). 0.22/0.52 fof(f788,plain,( 0.22/0.52 ~spl6_9 | ~spl6_10 | spl6_5), 0.22/0.52 inference(avatar_split_clause,[],[f676,f110,f186,f182])). 0.22/0.52 fof(f186,plain,( 0.22/0.52 spl6_10 <=> member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK1,sK2))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl6_10])])). 0.22/0.52 fof(f110,plain,( 0.22/0.52 spl6_5 <=> member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(union(sK0,sK1),union(sK1,sK2)))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl6_5])])). 0.22/0.52 fof(f676,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK1,sK2)) | ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK0,sK1)) | spl6_5), 0.22/0.52 inference(resolution,[],[f112,f55])). 0.22/0.52 fof(f55,plain,( 0.22/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (member(X2,intersection(X0,X1)) | ~member(X2,X1) | ~member(X2,X0)) )), 0.22/0.52 inference(cnf_transformation,[],[f31])). 0.22/0.52 fof(f112,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(union(sK0,sK1),union(sK1,sK2))) | spl6_5), 0.22/0.52 inference(avatar_component_clause,[],[f110])). 0.22/0.52 fof(f785,plain,( 0.22/0.52 spl6_16 | ~spl6_7), 0.22/0.52 inference(avatar_split_clause,[],[f168,f133,f367])). 0.22/0.52 fof(f367,plain,( 0.22/0.52 spl6_16 <=> member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK2)), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl6_16])])). 0.22/0.52 fof(f168,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK2) | ~spl6_7), 0.22/0.52 inference(resolution,[],[f135,f53])). 0.22/0.52 fof(f784,plain,( 0.22/0.52 spl6_7 | spl6_8 | ~spl6_2), 0.22/0.52 inference(avatar_split_clause,[],[f162,f84,f137,f133])). 0.22/0.52 fof(f84,plain,( 0.22/0.52 spl6_2 <=> member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])). 0.22/0.52 fof(f162,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(intersection(sK0,sK1),intersection(sK1,sK2))) | member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK2,sK0)) | ~spl6_2), 0.22/0.52 inference(resolution,[],[f86,f56])). 0.22/0.52 fof(f56,plain,( 0.22/0.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (member(X2,X0) | member(X2,X1) | ~member(X2,union(X0,X1))) )), 0.22/0.52 inference(cnf_transformation,[],[f33])). 0.22/0.52 fof(f86,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0))) | ~spl6_2), 0.22/0.52 inference(avatar_component_clause,[],[f84])). 0.22/0.52 fof(f771,plain,( 0.22/0.52 spl6_17 | spl6_15 | ~spl6_9), 0.22/0.52 inference(avatar_split_clause,[],[f510,f182,f363,f532])). 0.22/0.52 fof(f510,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK0) | member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK1) | ~spl6_9), 0.22/0.52 inference(resolution,[],[f183,f56])). 0.22/0.52 fof(f183,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK0,sK1)) | ~spl6_9), 0.22/0.52 inference(avatar_component_clause,[],[f182])). 0.22/0.52 fof(f770,plain,( 0.22/0.52 spl6_17 | ~spl6_12), 0.22/0.52 inference(avatar_split_clause,[],[f763,f210,f532])). 0.22/0.52 fof(f210,plain,( 0.22/0.52 spl6_12 <=> member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK0,sK1))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl6_12])])). 0.22/0.52 fof(f763,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK1) | ~spl6_12), 0.22/0.52 inference(resolution,[],[f212,f54])). 0.22/0.52 fof(f212,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK0,sK1)) | ~spl6_12), 0.22/0.52 inference(avatar_component_clause,[],[f210])). 0.22/0.52 fof(f769,plain,( 0.22/0.52 spl6_15 | ~spl6_12), 0.22/0.52 inference(avatar_split_clause,[],[f762,f210,f363])). 0.22/0.52 fof(f762,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK0) | ~spl6_12), 0.22/0.52 inference(resolution,[],[f212,f53])). 0.22/0.52 fof(f761,plain,( 0.22/0.52 spl6_16 | ~spl6_11), 0.22/0.52 inference(avatar_split_clause,[],[f755,f206,f367])). 0.22/0.52 fof(f755,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK2) | ~spl6_11), 0.22/0.52 inference(resolution,[],[f208,f54])). 0.22/0.52 fof(f705,plain,( 0.22/0.52 ~spl6_15 | spl6_6), 0.22/0.52 inference(avatar_split_clause,[],[f118,f114,f363])). 0.22/0.52 fof(f114,plain,( 0.22/0.52 spl6_6 <=> member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK2,sK0))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl6_6])])). 0.22/0.52 fof(f118,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK0) | spl6_6), 0.22/0.52 inference(resolution,[],[f116,f57])). 0.22/0.52 fof(f116,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK2,sK0)) | spl6_6), 0.22/0.52 inference(avatar_component_clause,[],[f114])). 0.22/0.52 fof(f704,plain,( 0.22/0.52 ~spl6_5 | ~spl6_6 | spl6_1), 0.22/0.52 inference(avatar_split_clause,[],[f670,f80,f114,f110])). 0.22/0.52 fof(f80,plain,( 0.22/0.52 spl6_1 <=> member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0)))), 0.22/0.52 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])). 0.22/0.52 fof(f670,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK2,sK0)) | ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(union(sK0,sK1),union(sK1,sK2))) | spl6_1), 0.22/0.52 inference(resolution,[],[f81,f55])). 0.22/0.52 fof(f81,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))) | spl6_1), 0.22/0.52 inference(avatar_component_clause,[],[f80])). 0.22/0.52 fof(f703,plain,( 0.22/0.52 ~spl6_17 | spl6_10), 0.22/0.52 inference(avatar_split_clause,[],[f696,f186,f532])). 0.22/0.52 fof(f696,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK1) | spl6_10), 0.22/0.52 inference(resolution,[],[f188,f58])). 0.22/0.52 fof(f188,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK1,sK2)) | spl6_10), 0.22/0.52 inference(avatar_component_clause,[],[f186])). 0.22/0.52 fof(f702,plain,( 0.22/0.52 ~spl6_16 | spl6_10), 0.22/0.52 inference(avatar_split_clause,[],[f695,f186,f367])). 0.22/0.52 fof(f695,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK2) | spl6_10), 0.22/0.52 inference(resolution,[],[f188,f57])). 0.22/0.52 fof(f668,plain,( 0.22/0.52 ~spl6_16 | spl6_6), 0.22/0.52 inference(avatar_split_clause,[],[f119,f114,f367])). 0.22/0.52 fof(f119,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK2) | spl6_6), 0.22/0.52 inference(resolution,[],[f116,f58])). 0.22/0.52 fof(f666,plain,( 0.22/0.52 ~spl6_17 | spl6_9), 0.22/0.52 inference(avatar_split_clause,[],[f659,f182,f532])). 0.22/0.52 fof(f659,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK1) | spl6_9), 0.22/0.52 inference(resolution,[],[f184,f57])). 0.22/0.52 fof(f569,plain,( 0.22/0.52 ~spl6_16 | ~spl6_15 | spl6_7), 0.22/0.52 inference(avatar_split_clause,[],[f371,f133,f363,f367])). 0.22/0.52 fof(f371,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK0) | ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK2) | spl6_7), 0.22/0.52 inference(resolution,[],[f134,f55])). 0.22/0.52 fof(f134,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK2,sK0)) | spl6_7), 0.22/0.52 inference(avatar_component_clause,[],[f133])). 0.22/0.52 fof(f568,plain,( 0.22/0.52 ~spl6_17 | ~spl6_16 | spl6_11), 0.22/0.52 inference(avatar_split_clause,[],[f553,f206,f367,f532])). 0.22/0.52 fof(f553,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK2) | ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK1) | spl6_11), 0.22/0.52 inference(resolution,[],[f207,f55])). 0.22/0.52 fof(f207,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK1,sK2)) | spl6_11), 0.22/0.52 inference(avatar_component_clause,[],[f206])). 0.22/0.52 fof(f567,plain,( 0.22/0.52 ~spl6_8 | spl6_2), 0.22/0.52 inference(avatar_split_clause,[],[f347,f84,f137])). 0.22/0.52 fof(f347,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(intersection(sK0,sK1),intersection(sK1,sK2))) | spl6_2), 0.22/0.52 inference(resolution,[],[f85,f58])). 0.22/0.52 fof(f85,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0))) | spl6_2), 0.22/0.52 inference(avatar_component_clause,[],[f84])). 0.22/0.52 fof(f566,plain,( 0.22/0.52 ~spl6_12 | spl6_8), 0.22/0.52 inference(avatar_split_clause,[],[f222,f137,f210])). 0.22/0.52 fof(f222,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK0,sK1)) | spl6_8), 0.22/0.52 inference(resolution,[],[f138,f58])). 0.22/0.52 fof(f565,plain,( 0.22/0.52 ~spl6_15 | ~spl6_17 | spl6_12), 0.22/0.52 inference(avatar_split_clause,[],[f559,f210,f532,f363])). 0.22/0.52 fof(f559,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK1) | ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK0) | spl6_12), 0.22/0.52 inference(resolution,[],[f211,f55])). 0.22/0.52 fof(f211,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK0,sK1)) | spl6_12), 0.22/0.52 inference(avatar_component_clause,[],[f210])). 0.22/0.52 fof(f535,plain,( 0.22/0.52 spl6_16 | spl6_17 | ~spl6_10), 0.22/0.52 inference(avatar_split_clause,[],[f525,f186,f532,f367])). 0.22/0.52 fof(f525,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK1) | member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK2) | ~spl6_10), 0.22/0.52 inference(resolution,[],[f187,f56])). 0.22/0.52 fof(f187,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK1,sK2)) | ~spl6_10), 0.22/0.52 inference(avatar_component_clause,[],[f186])). 0.22/0.52 fof(f385,plain,( 0.22/0.52 spl6_10 | ~spl6_5), 0.22/0.52 inference(avatar_split_clause,[],[f378,f110,f186])). 0.22/0.52 fof(f378,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK1,sK2)) | ~spl6_5), 0.22/0.52 inference(resolution,[],[f111,f54])). 0.22/0.52 fof(f111,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(union(sK0,sK1),union(sK1,sK2))) | ~spl6_5), 0.22/0.52 inference(avatar_component_clause,[],[f110])). 0.22/0.52 fof(f384,plain,( 0.22/0.52 spl6_9 | ~spl6_5), 0.22/0.52 inference(avatar_split_clause,[],[f377,f110,f182])). 0.22/0.52 fof(f377,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK0,sK1)) | ~spl6_5), 0.22/0.52 inference(resolution,[],[f111,f53])). 0.22/0.52 fof(f370,plain,( 0.22/0.52 spl6_15 | spl6_16 | ~spl6_6), 0.22/0.52 inference(avatar_split_clause,[],[f356,f114,f367,f363])). 0.22/0.52 fof(f356,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK2) | member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),sK0) | ~spl6_6), 0.22/0.52 inference(resolution,[],[f115,f56])). 0.22/0.52 fof(f115,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK2,sK0)) | ~spl6_6), 0.22/0.52 inference(avatar_component_clause,[],[f114])). 0.22/0.52 fof(f355,plain,( 0.22/0.52 spl6_6 | ~spl6_1), 0.22/0.52 inference(avatar_split_clause,[],[f153,f80,f114])). 0.22/0.52 fof(f153,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(sK2,sK0)) | ~spl6_1), 0.22/0.52 inference(resolution,[],[f82,f54])). 0.22/0.52 fof(f82,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))) | ~spl6_1), 0.22/0.52 inference(avatar_component_clause,[],[f80])). 0.22/0.52 fof(f353,plain,( 0.22/0.52 ~spl6_7 | spl6_2), 0.22/0.52 inference(avatar_split_clause,[],[f346,f84,f133])). 0.22/0.52 fof(f346,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK2,sK0)) | spl6_2), 0.22/0.52 inference(resolution,[],[f85,f57])). 0.22/0.52 fof(f213,plain,( 0.22/0.52 spl6_11 | spl6_12 | ~spl6_8), 0.22/0.52 inference(avatar_split_clause,[],[f199,f137,f210,f206])). 0.22/0.52 fof(f199,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK0,sK1)) | member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(sK1,sK2)) | ~spl6_8), 0.22/0.52 inference(resolution,[],[f139,f56])). 0.22/0.52 fof(f139,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(intersection(sK0,sK1),intersection(sK1,sK2))) | ~spl6_8), 0.22/0.52 inference(avatar_component_clause,[],[f137])). 0.22/0.52 fof(f196,plain,( 0.22/0.52 spl6_6 | ~spl6_7), 0.22/0.52 inference(avatar_contradiction_clause,[],[f190])). 0.22/0.52 fof(f190,plain,( 0.22/0.52 $false | (spl6_6 | ~spl6_7)), 0.22/0.52 inference(resolution,[],[f168,f119])). 0.22/0.52 fof(f159,plain,( 0.22/0.52 spl6_5 | ~spl6_1), 0.22/0.52 inference(avatar_split_clause,[],[f152,f80,f110])). 0.22/0.52 fof(f152,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(union(sK0,sK1),union(sK1,sK2))) | ~spl6_1), 0.22/0.52 inference(resolution,[],[f82,f53])). 0.22/0.52 fof(f88,plain,( 0.22/0.52 ~spl6_1 | ~spl6_2), 0.22/0.52 inference(avatar_split_clause,[],[f77,f84,f80])). 0.22/0.52 fof(f77,plain,( 0.22/0.52 ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0))) | ~member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0)))), 0.22/0.52 inference(resolution,[],[f64,f70])). 0.22/0.52 fof(f70,plain,( 0.22/0.52 ( ! [X0 : $i,X1 : $i] : (sQ5_eqProxy($i,X0,X1) | ~member(sK3(X0,X1),X0) | ~member(sK3(X0,X1),X1)) )), 0.22/0.52 inference(equality_proxy_replacement,[],[f46,f63])). 0.22/0.52 fof(f63,plain,( 0.22/0.52 ! [X1 : X0,X0 : $tType,X2 : X0] : (sQ5_eqProxy(X0,X1,X2) <=> X1 = X2)), 0.22/0.52 introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])])). 0.22/0.52 fof(f46,plain,( 0.22/0.52 ( ! [X0 : $i,X1 : $i] : (X0 = X1 | ~member(sK3(X0,X1),X0) | ~member(sK3(X0,X1),X1)) )), 0.22/0.52 inference(cnf_transformation,[],[f25])). 0.22/0.52 fof(f25,plain,( 0.22/0.52 ! [X0,X1] : ((X0 = X1 | ((~member(sK3(X0,X1),X0) | ~member(sK3(X0,X1),X1)) & (member(sK3(X0,X1),X0) | member(sK3(X0,X1),X1)))) & (! [X3] : ((member(X3,X1) | ~member(X3,X0)) & (member(X3,X0) | ~member(X3,X1))) | X0 != X1))), 0.22/0.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f23,f24])). 0.22/0.52 fof(f24,plain,( 0.22/0.52 ! [X0,X1] : (? [X2] : ((~member(X2,X0) | ~member(X2,X1)) & (member(X2,X0) | member(X2,X1))) => ((~member(sK3(X0,X1),X0) | ~member(sK3(X0,X1),X1)) & (member(sK3(X0,X1),X0) | member(sK3(X0,X1),X1))))), 0.22/0.52 introduced(choice_axiom,[])). 0.22/0.52 fof(f23,plain,( 0.22/0.52 ! [X0,X1] : ((X0 = X1 | ? [X2] : ((~member(X2,X0) | ~member(X2,X1)) & (member(X2,X0) | member(X2,X1)))) & (! [X3] : ((member(X3,X1) | ~member(X3,X0)) & (member(X3,X0) | ~member(X3,X1))) | X0 != X1))), 0.22/0.52 inference(rectify,[],[f22])). 0.22/0.52 fof(f22,plain,( 0.22/0.52 ! [X0,X1] : ((X0 = X1 | ? [X2] : ((~member(X2,X0) | ~member(X2,X1)) & (member(X2,X0) | member(X2,X1)))) & (! [X2] : ((member(X2,X1) | ~member(X2,X0)) & (member(X2,X0) | ~member(X2,X1))) | X0 != X1))), 0.22/0.52 inference(nnf_transformation,[],[f14])). 0.22/0.52 fof(f14,axiom,( 0.22/0.52 ! [X0,X1] : (X0 = X1 <=> ! [X2] : (member(X2,X1) <=> member(X2,X0)))), 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn)). 0.22/0.52 fof(f64,plain,( 0.22/0.52 ~sQ5_eqProxy($i,union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0)))), 0.22/0.52 inference(equality_proxy_replacement,[],[f34,f63])). 0.22/0.52 fof(f34,plain,( 0.22/0.52 union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)) != intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))), 0.22/0.52 inference(cnf_transformation,[],[f19])). 0.22/0.52 fof(f19,plain,( 0.22/0.52 union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)) != intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))), 0.22/0.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f18])). 0.22/0.52 fof(f18,plain,( 0.22/0.52 ? [X0,X1,X2] : union(union(intersection(X0,X1),intersection(X1,X2)),intersection(X2,X0)) != intersection(intersection(union(X0,X1),union(X1,X2)),union(X2,X0)) => union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)) != intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))), 0.22/0.52 introduced(choice_axiom,[])). 0.22/0.52 fof(f16,plain,( 0.22/0.52 ? [X0,X1,X2] : union(union(intersection(X0,X1),intersection(X1,X2)),intersection(X2,X0)) != intersection(intersection(union(X0,X1),union(X1,X2)),union(X2,X0))), 0.22/0.52 inference(ennf_transformation,[],[f12])). 0.22/0.52 fof(f12,negated_conjecture,( 0.22/0.52 ~! [X0,X1,X2] : union(union(intersection(X0,X1),intersection(X1,X2)),intersection(X2,X0)) = intersection(intersection(union(X0,X1),union(X1,X2)),union(X2,X0))), 0.22/0.52 inference(negated_conjecture,[],[f11])). 0.22/0.52 fof(f11,conjecture,( 0.22/0.52 ! [X0,X1,X2] : union(union(intersection(X0,X1),intersection(X1,X2)),intersection(X2,X0)) = intersection(intersection(union(X0,X1),union(X1,X2)),union(X2,X0))), 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th72)). 0.22/0.52 fof(f87,plain,( 0.22/0.52 spl6_1 | spl6_2), 0.22/0.52 inference(avatar_split_clause,[],[f76,f84,f80])). 0.22/0.52 fof(f76,plain,( 0.22/0.52 member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0))) | member(sK3(union(union(intersection(sK0,sK1),intersection(sK1,sK2)),intersection(sK2,sK0)),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0))),intersection(intersection(union(sK0,sK1),union(sK1,sK2)),union(sK2,sK0)))), 0.22/0.52 inference(resolution,[],[f64,f71])). 0.22/0.52 fof(f71,plain,( 0.22/0.52 ( ! [X0 : $i,X1 : $i] : (sQ5_eqProxy($i,X0,X1) | member(sK3(X0,X1),X0) | member(sK3(X0,X1),X1)) )), 0.22/0.52 inference(equality_proxy_replacement,[],[f45,f63])). 0.22/0.52 fof(f45,plain,( 0.22/0.52 ( ! [X0 : $i,X1 : $i] : (X0 = X1 | member(sK3(X0,X1),X0) | member(sK3(X0,X1),X1)) )), 0.22/0.52 inference(cnf_transformation,[],[f25])). 0.22/0.52 % SZS output end Proof for theBenchmark 0.22/0.52 % (28062)------------------------------ 0.22/0.52 % (28062)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.52 % (28062)Termination reason: Refutation 0.22/0.52 0.22/0.52 % (28062)Memory used [KB]: 6908 0.22/0.52 % (28062)Time elapsed: 0.103 s 0.22/0.52 % (28062)------------------------------ 0.22/0.52 % (28062)------------------------------ 0.22/0.52 % (28046)Success in time 0.128 s 0.22/0.52 EOF