0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.13/0.35 % Computer : n011.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 04:52:36 EDT 2022 0.13/0.35 % CPUTime : 0.13/0.36 This is a TFF_ problem 0.13/0.36 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.36 % (29210)Running in auto input_syntax mode. Trying TPTP 0.21/0.43 % (29212)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 0.21/0.43 % (29214)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 0.21/0.43 % (29215)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.21/0.43 % (29218)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.21/0.44 % (29211)ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 0.21/0.45 % (29217)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=on:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 0.21/0.45 % (29213)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=on:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 0.21/0.45 % (29216)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 4.68/1.04 % (29217)Time limit reached! 4.68/1.04 % (29217)------------------------------ 4.68/1.04 % (29217)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.68/1.04 % (29217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.68/1.04 % (29217)Termination reason: Time limit 4.68/1.04 % (29217)Termination phase: Saturation 4.68/1.04 4.68/1.04 % (29217)Memory used [KB]: 11001 4.68/1.04 % (29217)Time elapsed: 0.600 s 4.68/1.04 % (29217)------------------------------ 4.68/1.04 % (29217)------------------------------ 4.68/1.08 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 4.68/1.08 % (29219)dis+1_3_add=large:afp=4000:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:thi=all:uwa=all:updr=off:uhcvi=on_12 on theBenchmark 7.72/1.44 % (29218)Time limit reached! 7.72/1.44 % (29218)------------------------------ 7.72/1.44 % (29218)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 7.72/1.44 % (29218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 7.72/1.44 % (29218)Termination reason: Time limit 7.72/1.44 % (29218)Termination phase: Saturation 7.72/1.44 7.72/1.44 % (29218)Memory used [KB]: 18549 7.72/1.44 % (29218)Time elapsed: 1.0000 s 7.72/1.44 % (29218)------------------------------ 7.72/1.44 % (29218)------------------------------ 8.38/1.47 % (29220)lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=on:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark 11.81/1.94 % (29216)Time limit reached! 11.81/1.94 % (29216)------------------------------ 11.81/1.94 % (29216)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 11.81/1.94 % (29216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 11.81/1.94 % (29216)Termination reason: Time limit 11.81/1.94 % (29216)Termination phase: Saturation 11.81/1.94 11.81/1.94 % (29216)Memory used [KB]: 17014 11.81/1.94 % (29216)Time elapsed: 1.500 s 11.81/1.94 % (29216)------------------------------ 11.81/1.94 % (29216)------------------------------ 11.81/1.98 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 11.81/1.98 % (29222)dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 15.75/2.47 % (29219)Time limit reached! 15.75/2.47 % (29219)------------------------------ 15.75/2.47 % (29219)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 15.75/2.47 % (29219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 15.75/2.47 % (29219)Termination reason: Time limit 15.75/2.47 % (29219)Termination phase: Saturation 15.75/2.47 15.75/2.47 % (29219)Memory used [KB]: 18549 15.75/2.47 % (29219)Time elapsed: 1.400 s 15.75/2.47 % (29219)------------------------------ 15.75/2.47 % (29219)------------------------------ 15.75/2.48 % (29222)Time limit reached! 15.75/2.48 % (29222)------------------------------ 15.75/2.48 % (29222)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 15.75/2.48 % (29222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 15.75/2.48 % (29222)Termination reason: Time limit 15.75/2.48 % (29222)Termination phase: Saturation 15.75/2.48 15.75/2.48 % (29222)Memory used [KB]: 10106 15.75/2.48 % (29222)Time elapsed: 0.500 s 15.75/2.48 % (29222)------------------------------ 15.75/2.48 % (29222)------------------------------ 16.50/2.51 % (29224)dis+1010_2:3_add=off:afr=on:afp=10000:afq=1.1:anc=none:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:sac=on:sp=reverse_arity:tha=off_5 on theBenchmark 16.50/2.52 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 16.50/2.52 % (29223)dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark 18.97/2.83 % (29212)Time limit reached! 18.97/2.83 % (29212)------------------------------ 18.97/2.83 % (29212)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 18.97/2.83 % (29212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 18.97/2.83 % (29212)Termination reason: Time limit 18.97/2.83 % (29212)Termination phase: Saturation 18.97/2.83 18.97/2.83 % (29212)Memory used [KB]: 78548 18.97/2.83 % (29212)Time elapsed: 2.400 s 18.97/2.83 % (29212)------------------------------ 18.97/2.83 % (29212)------------------------------ 18.97/2.83 % (29211)Time limit reached! 18.97/2.83 % (29211)------------------------------ 18.97/2.83 % (29211)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 18.97/2.83 % (29211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 18.97/2.83 % (29211)Termination reason: Time limit 18.97/2.83 % (29211)Termination phase: Saturation 18.97/2.83 18.97/2.83 % (29211)Memory used [KB]: 24818 18.97/2.83 % (29211)Time elapsed: 2.400 s 18.97/2.83 % (29211)------------------------------ 18.97/2.83 % (29211)------------------------------ 18.97/2.87 % (29225)dis-10_4:1_aac=none:add=off:afp=1000:afq=1.4:amm=off:anc=none:cond=fast:ep=RSTC:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:nwc=4:sas=z3:tha=off:thi=strong:uwa=interpreted_only:updr=off:uhcvi=on_6 on theBenchmark 18.97/2.87 % (29226)lrs+1_2:3_afr=on:afp=1000:afq=1.1:amm=sco:anc=none:fsr=off:fde=none:gs=on:gsaa=full_model:gsem=on:lma=on:nm=64:nwc=1.3:sas=z3:stl=30:sac=on:tha=off:uwa=one_side_interpreted:updr=off_9 on theBenchmark 21.40/3.24 % (29213)Time limit reached! 21.40/3.24 % (29213)------------------------------ 21.40/3.24 % (29213)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 21.40/3.24 % (29213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 21.40/3.24 % (29213)Termination reason: Time limit 21.40/3.24 % (29213)Termination phase: Saturation 21.40/3.24 21.40/3.24 % (29213)Memory used [KB]: 7419 21.40/3.24 % (29213)Time elapsed: 2.800 s 21.40/3.24 % (29213)------------------------------ 21.40/3.24 % (29213)------------------------------ 21.40/3.28 % (29227)lrs+10_2_add=off:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=fast:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:nm=64:nwc=1:sas=z3:stl=30:sos=all:sp=occurrence:tha=off:thf=on:urr=on:updr=off:uhcvi=on_6 on theBenchmark 21.92/3.31 % (29224)Time limit reached! 21.92/3.31 % (29224)------------------------------ 21.92/3.31 % (29224)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 21.92/3.31 % (29224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 21.92/3.31 % (29224)Termination reason: Time limit 21.92/3.31 % (29224)Termination phase: Saturation 21.92/3.31 21.92/3.31 % (29224)Memory used [KB]: 12281 21.92/3.31 % (29224)Time elapsed: 0.800 s 21.92/3.31 % (29224)------------------------------ 21.92/3.31 % (29224)------------------------------ 21.92/3.35 % (29228)lrs+1011_1_add=off:afp=100000:afq=1.0:anc=none:cond=on:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:newcnf=on:nwc=1:sas=z3:stl=30:sos=on:sp=occurrence:tha=off:uwa=ground_3 on theBenchmark 24.47/3.53 % (29214)Time limit reached! 24.47/3.53 % (29214)------------------------------ 24.47/3.53 % (29214)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 24.47/3.53 % (29214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 24.47/3.53 % (29214)Termination reason: Time limit 24.47/3.53 % (29214)Termination phase: Saturation 24.47/3.53 24.47/3.53 % (29214)Memory used [KB]: 17142 24.47/3.53 % (29214)Time elapsed: 3.100 s 24.47/3.53 % (29214)------------------------------ 24.47/3.53 % (29214)------------------------------ 24.47/3.57 % (29229)dis+1010_4_add=off:afp=100000:afq=1.0:anc=none:fsr=off:gs=on:gsem=off:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sac=on:tha=off:thf=on_179 on theBenchmark 26.02/3.77 % (29225)Time limit reached! 26.02/3.77 % (29225)------------------------------ 26.02/3.77 % (29225)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 26.02/3.77 % (29225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 26.02/3.77 % (29225)Termination reason: Time limit 26.02/3.77 % (29225)Termination phase: Saturation 26.02/3.77 26.02/3.77 % (29225)Memory used [KB]: 18293 26.02/3.77 % (29225)Time elapsed: 0.900 s 26.02/3.77 % (29225)------------------------------ 26.02/3.77 % (29225)------------------------------ 26.60/3.81 % (29230)WARNING: option uwaf not known. 26.60/3.81 % (29230)lrs-2_24_awrs=converge:awrsf=64:av=off:bd=off:bs=on:bsr=on:br=off:cond=on:fde=none:gsp=on:inw=on:lwlo=on:nm=6:nwc=4:stl=30:s2a=on:sos=all:sp=weighted_frequency:thf=on:uwa=one_side_interpreted:urr=on:updr=off:uhcvi=on:uwaf=on_21 on theBenchmark 26.60/3.81 % (29223)Time limit reached! 26.60/3.81 % (29223)------------------------------ 26.60/3.81 % (29223)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 26.60/3.81 % (29223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 26.60/3.81 % (29223)Termination reason: Time limit 26.60/3.81 % (29223)Termination phase: Saturation 26.60/3.81 26.60/3.81 % (29223)Memory used [KB]: 21875 26.60/3.81 % (29223)Time elapsed: 1.300 s 26.60/3.81 % (29223)------------------------------ 26.60/3.81 % (29223)------------------------------ 26.60/3.85 % (29231)ott+10_8_add=large:afp=100000:afq=1.4:amm=sco:cond=fast:fsr=off:fde=none:lcm=predicate:lma=on:nm=32:nwc=1:sos=on:sac=on:tha=off:updr=off_29 on theBenchmark 27.01/3.95 % (29228)Time limit reached! 27.01/3.95 % (29228)------------------------------ 27.01/3.95 % (29228)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 27.01/3.95 % (29228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 27.01/3.95 % (29228)Termination reason: Time limit 27.01/3.95 % (29228)Termination phase: Saturation 27.01/3.95 27.01/3.95 % (29228)Memory used [KB]: 12665 27.01/3.95 % (29228)Time elapsed: 0.600 s 27.01/3.95 % (29228)------------------------------ 27.01/3.95 % (29228)------------------------------ 27.01/3.97 % (29226)Time limit reached! 27.01/3.97 % (29226)------------------------------ 27.01/3.97 % (29226)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 27.01/3.97 % (29226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 27.01/3.97 % (29226)Termination reason: Time limit 27.01/3.97 % (29226)Termination phase: Saturation 27.01/3.97 27.01/3.97 % (29226)Memory used [KB]: 26865 27.01/3.97 % (29226)Time elapsed: 1.100 s 27.01/3.97 % (29226)------------------------------ 27.01/3.97 % (29226)------------------------------ 27.01/3.98 % (29232)dis-2_2:3_add=large:afp=40000:afq=1.4:amm=off:anc=none:gsp=on:gs=on:gsem=on:inw=on:lcm=reverse:lma=on:nm=2:nwc=1:nicw=on:sas=z3:sos=all:sp=reverse_arity:tha=off:urr=on_5 on theBenchmark 28.42/4.02 % (29233)dis+1_3:1_acc=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:gs=on:inw=on:lma=on:nm=32:nwc=1:urr=on_2 on theBenchmark 29.27/4.18 % (29227)Time limit reached! 29.27/4.18 % (29227)------------------------------ 29.27/4.18 % (29227)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 29.27/4.18 % (29227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 29.27/4.18 % (29227)Termination reason: Time limit 29.27/4.18 % (29227)Termination phase: Saturation 29.27/4.18 29.27/4.18 % (29227)Memory used [KB]: 17782 29.27/4.18 % (29227)Time elapsed: 0.900 s 29.27/4.18 % (29227)------------------------------ 29.27/4.18 % (29227)------------------------------ 29.79/4.21 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 29.79/4.21 % (29234)dis+1011_2:3_add=off:afr=on:afp=4000:afq=1.4:anc=none:bs=unit_only:fsr=off:gs=on:gsem=on:lwlo=on:nm=16:nwc=1.3:nicw=on:sas=z3:sac=on:tha=off_260 on theBenchmark 31.60/4.52 % (29233)Time limit reached! 31.60/4.52 % (29233)------------------------------ 31.60/4.52 % (29233)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 31.60/4.52 % (29233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 31.60/4.52 % (29233)Termination reason: Time limit 31.60/4.52 % (29233)Termination phase: Saturation 31.60/4.52 31.60/4.52 % (29233)Memory used [KB]: 29295 31.60/4.52 % (29233)Time elapsed: 0.500 s 31.60/4.52 % (29233)------------------------------ 31.60/4.52 % (29233)------------------------------ 31.60/4.55 % (29235)dis+1010_24_aac=none:afr=on:anc=none:cond=on:fsr=off:gs=on:gsem=on:nm=6:nwc=1:sas=z3:sos=on:sp=reverse_arity:tha=off_9 on theBenchmark 34.09/4.78 % (29232)Time limit reached! 34.09/4.78 % (29232)------------------------------ 34.09/4.78 % (29232)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 34.09/4.78 % (29232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 34.09/4.78 % (29232)Termination reason: Time limit 34.09/4.78 % (29232)Termination phase: Saturation 34.09/4.78 34.09/4.78 % (29232)Memory used [KB]: 11129 34.09/4.78 % (29232)Time elapsed: 0.800 s 34.09/4.78 % (29232)------------------------------ 34.09/4.78 % (29232)------------------------------ 34.69/4.82 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 34.69/4.82 % (29236)dis+11_3_add=large:afr=on:afp=4000:afq=1.2:amm=off:anc=none:gs=on:gsem=on:lwlo=on:nm=64:nwc=1:sas=z3:sac=on:sp=reverse_arity:tha=off:thf=on:updr=off_92 on theBenchmark 38.77/5.38 % (29229)First to succeed. 39.42/5.42 % (29229)Refutation found. Thanks to Tanya! 39.42/5.42 % SZS status Theorem for theBenchmark 39.42/5.42 % SZS output start Proof for theBenchmark 39.42/5.42 tff(type_def_5, type, uni: $tType). 39.42/5.42 tff(type_def_6, type, ty: $tType). 39.42/5.42 tff(type_def_7, type, bool1: $tType). 39.42/5.42 tff(type_def_8, type, tuple02: $tType). 39.42/5.42 tff(type_def_9, type, vertex1: $tType). 39.42/5.42 tff(type_def_10, type, set_vertex: $tType). 39.42/5.42 tff(type_def_11, type, map_vertex_int: $tType). 39.42/5.42 tff(func_def_0, type, witness1: (ty) > uni). 39.42/5.42 tff(func_def_1, type, int: ty). 39.42/5.42 tff(func_def_2, type, real: ty). 39.42/5.42 tff(func_def_3, type, bool: ty). 39.42/5.42 tff(func_def_4, type, true1: bool1). 39.42/5.42 tff(func_def_5, type, false1: bool1). 39.42/5.42 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 39.42/5.42 tff(func_def_7, type, tuple0: ty). 39.42/5.42 tff(func_def_8, type, tuple03: tuple02). 39.42/5.42 tff(func_def_9, type, qtmark: ty). 39.42/5.42 tff(func_def_10, type, ref: (ty) > ty). 39.42/5.42 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 39.42/5.42 tff(func_def_12, type, contents: (ty * uni) > uni). 39.42/5.42 tff(func_def_13, type, set: (ty) > ty). 39.42/5.42 tff(func_def_14, type, empty: (ty) > uni). 39.42/5.42 tff(func_def_15, type, add: (ty * uni * uni) > uni). 39.42/5.42 tff(func_def_16, type, remove: (ty * uni * uni) > uni). 39.42/5.42 tff(func_def_17, type, union: (ty * uni * uni) > uni). 39.42/5.42 tff(func_def_18, type, inter: (ty * uni * uni) > uni). 39.42/5.42 tff(func_def_19, type, diff: (ty * uni * uni) > uni). 39.42/5.42 tff(func_def_20, type, choose: (ty * uni) > uni). 39.42/5.42 tff(func_def_21, type, cardinal1: (ty * uni) > $int). 39.42/5.42 tff(func_def_22, type, map: (ty * ty) > ty). 39.42/5.42 tff(func_def_23, type, get: (ty * ty * uni * uni) > uni). 39.42/5.42 tff(func_def_24, type, set1: (ty * ty * uni * uni * uni) > uni). 39.42/5.42 tff(func_def_25, type, const: (ty * ty * uni) > uni). 39.42/5.42 tff(func_def_26, type, vertex: ty). 39.42/5.42 tff(func_def_27, type, v1: set_vertex). 39.42/5.42 tff(func_def_28, type, g_succ1: (vertex1) > set_vertex). 39.42/5.42 tff(func_def_29, type, t2tb: (set_vertex) > uni). 39.42/5.42 tff(func_def_30, type, tb2t: (uni) > set_vertex). 39.42/5.42 tff(func_def_31, type, weight1: (vertex1 * vertex1) > $int). 39.42/5.42 tff(func_def_32, type, t2tb1: (map_vertex_int) > uni). 39.42/5.42 tff(func_def_33, type, tb2t1: (uni) > map_vertex_int). 39.42/5.42 tff(func_def_34, type, t2tb2: (vertex1) > uni). 39.42/5.42 tff(func_def_35, type, tb2t2: (uni) > vertex1). 39.42/5.42 tff(func_def_36, type, t2tb3: ($int) > uni). 39.42/5.42 tff(func_def_37, type, tb2t3: (uni) > $int). 39.42/5.42 tff(func_def_44, type, sK1: vertex1). 39.42/5.42 tff(func_def_45, type, sK2: vertex1). 39.42/5.42 tff(func_def_46, type, sK3: map_vertex_int). 39.42/5.42 tff(func_def_47, type, sK4: set_vertex). 39.42/5.42 tff(func_def_48, type, sK5: map_vertex_int). 39.42/5.42 tff(func_def_49, type, sK6: set_vertex). 39.42/5.42 tff(func_def_50, type, sK7: set_vertex). 39.42/5.42 tff(func_def_51, type, sK8: map_vertex_int). 39.42/5.42 tff(func_def_52, type, sK9: set_vertex). 39.42/5.42 tff(func_def_53, type, sK10: bool1). 39.42/5.42 tff(func_def_54, type, sK11: set_vertex). 39.42/5.42 tff(func_def_55, type, sK12: vertex1). 39.42/5.42 tff(func_def_56, type, sK13: set_vertex). 39.42/5.42 tff(func_def_57, type, sK14: set_vertex). 39.42/5.42 tff(func_def_58, type, sK15: set_vertex). 39.42/5.42 tff(func_def_59, type, sK16: map_vertex_int). 39.42/5.42 tff(func_def_60, type, sK17: bool1). 39.42/5.42 tff(func_def_61, type, sK18: set_vertex). 39.42/5.42 tff(func_def_62, type, sK19: vertex1). 39.42/5.42 tff(func_def_63, type, sK20: set_vertex). 39.42/5.42 tff(func_def_64, type, sK21: map_vertex_int). 39.42/5.42 tff(func_def_65, type, sK22: vertex1). 39.42/5.42 tff(func_def_66, type, sK23: vertex1). 39.42/5.42 tff(func_def_67, type, sK24: vertex1). 39.42/5.42 tff(func_def_68, type, sK25: vertex1). 39.42/5.42 tff(func_def_69, type, sK26: vertex1). 39.42/5.42 tff(func_def_70, type, sK27: vertex1). 39.42/5.42 tff(func_def_71, type, sK28: (vertex1) > vertex1). 39.42/5.42 tff(func_def_72, type, sK29: (set_vertex) > vertex1). 39.42/5.42 tff(func_def_73, type, sK30: (set_vertex) > vertex1). 39.42/5.42 tff(func_def_74, type, sK31: (ty * uni) > uni). 39.42/5.42 tff(func_def_75, type, sK32: (ty * uni * uni) > uni). 39.42/5.42 tff(func_def_76, type, sK33: (ty * uni * uni) > uni). 39.42/5.42 tff(func_def_77, type, sK34: (vertex1 * vertex1 * $int) > vertex1). 39.42/5.42 tff(func_def_78, type, sK35: (vertex1 * vertex1 * $int) > vertex1). 39.42/5.42 tff(func_def_79, type, sK36: (vertex1 * vertex1 * $int) > vertex1). 39.42/5.42 tff(func_def_80, type, sK37: (vertex1 * vertex1 * $int) > vertex1). 39.42/5.42 tff(func_def_81, type, sK38: (vertex1 * vertex1 * $int) > $int). 39.42/5.42 tff(func_def_82, type, sK39: (vertex1 * vertex1 * $int) > vertex1). 39.42/5.42 tff(func_def_83, type, sK40: (vertex1 * vertex1 * $int) > vertex1). 39.42/5.42 tff(func_def_84, type, sK41: (vertex1 * vertex1 * $int) > $int). 39.42/5.42 tff(func_def_85, type, sK42: (vertex1 * vertex1 * $int) > $int). 39.42/5.42 tff(pred_def_1, type, sort1: (ty * uni) > $o). 39.42/5.42 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 39.42/5.42 tff(pred_def_3, type, infix_eqeq: (ty * uni * uni) > $o). 39.42/5.42 tff(pred_def_4, type, subset: (ty * uni * uni) > $o). 39.42/5.42 tff(pred_def_5, type, is_empty: (ty * uni) > $o). 39.42/5.42 tff(pred_def_6, type, min1: (vertex1 * set_vertex * map_vertex_int) > $o). 39.42/5.42 tff(pred_def_7, type, path1: (vertex1 * vertex1 * $int) > $o). 39.42/5.42 tff(pred_def_8, type, shortest_path1: (vertex1 * vertex1 * $int) > $o). 39.42/5.42 tff(pred_def_9, type, inv_src1: (vertex1 * set_vertex * set_vertex) > $o). 39.42/5.42 tff(pred_def_10, type, inv1: (vertex1 * set_vertex * set_vertex * map_vertex_int) > $o). 39.42/5.42 tff(pred_def_11, type, inv_succ1: (vertex1 * set_vertex * set_vertex * map_vertex_int) > $o). 39.42/5.42 tff(pred_def_12, type, inv_succ21: (vertex1 * set_vertex * set_vertex * map_vertex_int * vertex1 * set_vertex) > $o). 39.42/5.42 tff(pred_def_15, type, sP0: (set_vertex * vertex1 * set_vertex * map_vertex_int * vertex1 * map_vertex_int) > $o). 39.42/5.42 tff(f12677,plain,( 39.42/5.42 $false), 39.42/5.42 inference(avatar_smt_refutation,[],[f581,f586,f587,f592,f597,f602,f607,f615,f620,f625,f630,f635,f640,f645,f650,f655,f660,f665,f674,f679,f685,f696,f707,f714,f725,f730,f737,f742,f754,f759,f764,f773,f805,f810,f815,f826,f843,f848,f857,f917,f935,f941,f946,f959,f966,f971,f978,f995,f1000,f1005,f1010,f1015,f1020,f1037,f1042,f1050,f1069,f1077,f1082,f1104,f1106,f1125,f1130,f1135,f1140,f1150,f1155,f1165,f1170,f1179,f1194,f1212,f1217,f1222,f1227,f1232,f1237,f1242,f1251,f1256,f1261,f1266,f1289,f1298,f1305,f1311,f1316,f1323,f1329,f1369,f1374,f1379,f1384,f1425,f1431,f1436,f1441,f1449,f1460,f1464,f1484,f1489,f1495,f1516,f1521,f1526,f1547,f1552,f1557,f1562,f1571,f1576,f1584,f1590,f1640,f1646,f1660,f1666,f1676,f1682,f1688,f1694,f1834,f2004,f2013,f2056,f2061,f2091,f2103,f2112,f2114,f2149,f2154,f2163,f2165,f2183,f2192,f2200,f2201,f2205,f2225,f2227,f2240,f2251,f2253,f2269,f2271,f2280,f2288,f2298,f2307,f2309,f2323,f2328,f2333,f2338,f2347,f2356,f2358,f2386,f2391,f2396,f2400,f2405,f2411,f2417,f2448,f2453,f2483,f2488,f2493,f2498,f2506,f2507,f2529,f2539,f2544,f2549,f2554,f2559,f2568,f2578,f2583,f2619,f2624,f2629,f2634,f2639,f2644,f2650,f2655,f2663,f2670,f2725,f2730,f2735,f2758,f2763,f2768,f2776,f2783,f2792,f2798,f2809,f2813,f2820,f2844,f2849,f2876,f2880,f2886,f3007,f3012,f3017,f3076,f3083,f3088,f3093,f3098,f3112,f3119,f3192,f3197,f3242,f3247,f3258,f3266,f3271,f3280,f3285,f3293,f3298,f3311,f3317,f3324,f3329,f3345,f3350,f3359,f3371,f3376,f3388,f3393,f3405,f3414,f3428,f3464,f3469,f3505,f3510,f3515,f3524,f3529,f3538,f3543,f3548,f3560,f3567,f3584,f3592,f3604,f3611,f3629,f3634,f3642,f3647,f3658,f3662,f3668,f3677,f3679,f3688,f3690,f3704,f3777,f3782,f3865,f3870,f3876,f3911,f3916,f3954,f3968,f3984,f4000,f4061,f4068,f4074,f4085,f4091,f4098,f4107,f4114,f4123,f4162,f4167,f4172,f4176,f4246,f4251,f4256,f4260,f4366,f4371,f4380,f4382,f4391,f4393,f4398,f4407,f4409,f4414,f4423,f4425,f4430,f4435,f4441,f4447,f4752,f4754,f4766,f4790,f4792,f4804,f5024,f5140,f5188,f5236,f5293,f5510,f5521,f5527,f5536,f5546,f5551,f5552,f5560,f5601,f5602,f5612,f5699,f5799,f5801,f5802,f5814,f5852,f6057,f6068,f6072,f6115,f6162,f6205,f6292,f6295,f6391,f6400,f6404,f6409,f6415,f6517,f6521,f6616,f6621,f6630,f6637,f6696,f6832,f6847,f6855,f6860,f6870,f6875,f6885,f6890,f6895,f6900,f6906,f6937,f6941,f7027,f7087,f7132,f7136,f7156,f7179,f7267,f7272,f7422,f7427,f7431,f7523,f7530,f7594,f7611,f7623,f7655,f7673,f7677,f7744,f7748,f7757,f7820,f7829,f7887,f7896,f7905,f7910,f7980,f7992,f8006,f8022,f8031,f8040,f8045,f8054,f8082,f8087,f8098,f8105,f8171,f8181,f8240,f8249,f8259,f8340,f8345,f8350,f8418,f8423,f8428,f8433,f8617,f8622,f8699,f8704,f8713,f8740,f8757,f8771,f8798,f8815,f8846,f8856,f8873,f8887,f9019,f9021,f9030,f9048,f9050,f9129,f9230,f9243,f9252,f9260,f9265,f9578,f9579,f9670,f9758,f9830,f9839,f9844,f9858,f10151,f10224,f10233,f10244,f10273,f10278,f10290,f10295,f10316,f10317,f10326,f10350,f10379,f10384,f10465,f10556,f10561,f10662,f10671,f10676,f10689,f10690,f10699,f10706,f10711,f10842,f10866,f10871,f10891,f10900,f11032,f11041,f11057,f11062,f11202,f11226,f11248,f11337,f11342,f11351,f11356,f11365,f11441,f11453,f11485,f11508,f11597,f11716,f11796,f11798,f11803,f11812,f11814,f11826,f11835,f11837,f11876,f11881,f11886,f11891,f11896,f11901,f11984,f11989,f11994,f11999,f12004,f12009,f12014,f12016,f12069,f12088,f12093,f12094,f12350,f12355,f12360,f12365,f12370,f12375,f12380,f12385,f12392,f12397,f12402,f12407,f12422,f12427,f12432,f12438,f12443,f12447,f12531,f12539,f12544,f12549,f12550,f12552,f12553,f12558,f12563,f12564,f12569,f12570,f12577,f12676])). 39.42/5.42 tff(f12676,plain,( 39.42/5.42 spl43_45 | spl43_48 | spl43_619 | spl43_624 | ~spl43_46 | ~spl43_74), 39.42/5.42 inference(avatar_split_clause,[],[f12675,f1172,f956,f12555,f12435,f968,f952])). 39.42/5.42 tff(f952,plain,( 39.42/5.42 spl43_45 <=> mem(vertex,t2tb2(sK19),t2tb(sK13))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_45])])). 39.42/5.42 tff(f968,plain,( 39.42/5.42 spl43_48 <=> mem(vertex,t2tb2(sK19),t2tb(sK15))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_48])])). 39.42/5.42 tff(f12435,plain,( 39.42/5.42 spl43_619 <=> sK15 = tb2t(add(vertex,t2tb2(sK19),t2tb(sK15)))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_619])])). 39.42/5.42 tff(f12555,plain,( 39.42/5.42 spl43_624 <=> sP0(sK15,sK19,sK15,sK16,sK12,sK16)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_624])])). 39.42/5.42 tff(f956,plain,( 39.42/5.42 spl43_46 <=> sK16 = sK21), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_46])])). 39.42/5.42 tff(f1172,plain,( 39.42/5.42 spl43_74 <=> sK15 = sK20), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_74])])). 39.42/5.42 tff(f12675,plain,( 39.42/5.42 sP0(sK15,sK19,sK15,sK16,sK12,sK16) | sK15 = tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) | mem(vertex,t2tb2(sK19),t2tb(sK15)) | mem(vertex,t2tb2(sK19),t2tb(sK13)) | (~spl43_46 | ~spl43_74)), 39.42/5.42 inference(forward_demodulation,[],[f12674,f1174])). 39.42/5.42 tff(f1174,plain,( 39.42/5.42 sK15 = sK20 | ~spl43_74), 39.42/5.42 inference(avatar_component_clause,[],[f1172])). 39.42/5.42 tff(f12674,plain,( 39.42/5.42 sP0(sK20,sK19,sK15,sK16,sK12,sK16) | sK15 = tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) | mem(vertex,t2tb2(sK19),t2tb(sK15)) | mem(vertex,t2tb2(sK19),t2tb(sK13)) | (~spl43_46 | ~spl43_74)), 39.42/5.42 inference(forward_demodulation,[],[f12673,f958])). 39.42/5.42 tff(f958,plain,( 39.42/5.42 sK16 = sK21 | ~spl43_46), 39.42/5.42 inference(avatar_component_clause,[],[f956])). 39.42/5.42 tff(f12673,plain,( 39.42/5.42 sK15 = tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) | mem(vertex,t2tb2(sK19),t2tb(sK15)) | mem(vertex,t2tb2(sK19),t2tb(sK13)) | sP0(sK20,sK19,sK15,sK21,sK12,sK16) | ~spl43_74), 39.42/5.42 inference(forward_demodulation,[],[f12672,f1174])). 39.42/5.42 tff(f12672,plain,( 39.42/5.42 mem(vertex,t2tb2(sK19),t2tb(sK15)) | mem(vertex,t2tb2(sK19),t2tb(sK13)) | tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) = sK20 | sP0(sK20,sK19,sK15,sK21,sK12,sK16) | ~spl43_74), 39.42/5.42 inference(forward_demodulation,[],[f368,f1174])). 39.42/5.42 tff(f368,plain,( 39.42/5.42 mem(vertex,t2tb2(sK19),t2tb(sK13)) | mem(vertex,t2tb2(sK19),t2tb(sK20)) | tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) = sK20 | sP0(sK20,sK19,sK15,sK21,sK12,sK16)), 39.42/5.42 inference(cnf_transformation,[],[f241])). 39.42/5.42 tff(f241,plain,( 39.42/5.42 (((((((((((~mem(vertex,t2tb2(sK23),t2tb(sK13)) & ~mem(vertex,t2tb2(sK23),t2tb(sK20)) & ((~mem(vertex,t2tb2(sK23),t2tb(sK18)) & sK12 = sK22) | sK12 != sK22) & mem(vertex,t2tb2(sK23),t2tb(g_succ1(sK22)))) & mem(vertex,t2tb2(sK22),t2tb(sK13))) & ($sum(tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK12))),weight1(sK12,sK19)) = tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK19))) | $less(tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK19))),$sum(tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK12))),weight1(sK12,sK19)))) & ((mem(vertex,t2tb2(sK19),t2tb(sK13)) & sK15 = sK20 & sK16 = sK21) | (mem(vertex,t2tb2(sK19),t2tb(sK20)) & sK16 = sK21 & sK15 = sK20 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK12))),weight1(sK12,sK19)),tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK19))))) | (~mem(vertex,t2tb2(sK19),t2tb(sK15)) & tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) = sK20 & tb2t1(set1(int,vertex,t2tb1(sK16),t2tb2(sK19),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))),weight1(sK12,sK19))))) = sK21 & ~mem(vertex,t2tb2(sK19),t2tb(sK13))) | sP0(sK20,sK19,sK15,sK21,sK12,sK16))) & mem(vertex,t2tb2(sK19),t2tb(sK14)) & sK18 = tb2t(remove(vertex,t2tb2(sK19),t2tb(sK14)))) & mem(vertex,t2tb2(sK24),t2tb(sK14)) & true1 = sK17 & (mem(vertex,t2tb2(sK25),t2tb(sK14)) | true1 != sK17) & (true1 = sK17 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(sK14)))) & subset(vertex,t2tb(sK13),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(sK15))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(sK13)) | mem(vertex,t2tb2(X28),t2tb(sK15)))) | (sK12 = X27 & (mem(vertex,t2tb2(X28),t2tb(sK14)) | sK12 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(sK13))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(sK13))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(sK13)) | ~mem(vertex,t2tb2(X30),t2tb(sK15))) & subset(vertex,t2tb(sK15),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK1))) & inv_src1(sK1,sK13,sK15) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK12))) | ~mem(vertex,t2tb2(X31),t2tb(sK14)))) & tb2t(add(vertex,t2tb2(sK12),t2tb(sK9))) = sK13) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK12)))) | ~path1(sK1,sK12,X32)) & path1(sK1,sK12,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK12)))) & mem(vertex,t2tb2(sK12),t2tb(sK7)) & sK11 = tb2t(remove(vertex,t2tb2(sK12),t2tb(sK7))) & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK12)))) | ~mem(vertex,t2tb2(X33),t2tb(sK7)))) & mem(vertex,t2tb2(sK26),t2tb(sK7)) & true1 != sK10 & (! [X35 : vertex1] : ~mem(vertex,t2tb2(X35),t2tb(sK7)) | true1 != sK10) & (true1 = sK10 | mem(vertex,t2tb2(sK27),t2tb(sK7)))) & inv_src1(sK1,sK9,sK7) & 0 = tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK1))) & subset(vertex,t2tb(sK9),t2tb(v1)) & subset(vertex,t2tb(sK7),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(sK9)) | ~mem(vertex,t2tb2(X37),t2tb(sK7))) & ! [X38 : vertex1] : (! [X39 : vertex1,X40 : $int] : (mem(vertex,t2tb2(X39),t2tb(sK9)) | ~$less(X40,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X38)))) | ~path1(sK1,X39,X40)) | ~mem(vertex,t2tb2(X38),t2tb(sK7)) | ($less(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK28(X38)))),tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X38)))) & mem(vertex,t2tb2(sK28(X38)),t2tb(sK7)))) & ! [X42 : vertex1] : (! [X43 : vertex1] : (((mem(vertex,t2tb2(X43),t2tb(sK7)) | mem(vertex,t2tb2(X43),t2tb(sK9))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X42))),weight1(X42,X43)),tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X43))))) | ~mem(vertex,t2tb2(X43),t2tb(g_succ1(X42)))) | ~mem(vertex,t2tb2(X42),t2tb(sK9))) & ! [X44 : vertex1] : (path1(sK1,X44,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X44)))) | ~mem(vertex,t2tb2(X44),t2tb(sK7))) & ! [X45 : vertex1] : (shortest_path1(sK1,X45,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(sK9)))) & tb2t1(set1(int,vertex,t2tb1(sK3),t2tb2(sK1),t2tb3(0))) = sK5 & tb2t(add(vertex,t2tb2(sK1),empty(vertex))) = sK4 & ! [X46 : vertex1] : ~mem(vertex,t2tb2(X46),t2tb(sK6))) & mem(vertex,t2tb2(sK1),t2tb(v1)) & mem(vertex,t2tb2(sK2),t2tb(v1))), 39.42/5.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28])],[f223,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224])). 39.42/5.42 tff(f224,plain,( 39.42/5.42 ? [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : (? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (? [X6 : set_vertex,X7 : map_vertex_int,X8 : set_vertex] : (? [X9 : bool1] : (? [X10 : set_vertex,X11 : vertex1] : (? [X12 : set_vertex] : (? [X13 : set_vertex,X14 : set_vertex,X15 : map_vertex_int] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(X12))) | sP0(X19,X18,X14,X20,X11,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(X12),t2tb(v1)) & ! [X26 : vertex1] : (path1(X0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X12)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (X11 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | X11 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(X0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X0))) & inv_src1(X0,X12,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(X8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~path1(X0,X11,X32)) & path1(X0,X11,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) & mem(vertex,t2tb2(X11),t2tb(X6)) & tb2t(remove(vertex,t2tb2(X11),t2tb(X6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(X6)))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(X6)) & true1 != X9 & (! [X35 : vertex1] : ~mem(vertex,t2tb2(X35),t2tb(X6)) | true1 != X9) & (true1 = X9 | ? [X36 : vertex1] : mem(vertex,t2tb2(X36),t2tb(X6)))) & inv_src1(X0,X8,X6) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X0))) & subset(vertex,t2tb(X8),t2tb(v1)) & subset(vertex,t2tb(X6),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(X8)) | ~mem(vertex,t2tb2(X37),t2tb(X6))) & ! [X38 : vertex1] : (! [X39 : vertex1,X40 : $int] : (mem(vertex,t2tb2(X39),t2tb(X8)) | ~$less(X40,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) | ~path1(X0,X39,X40)) | ~mem(vertex,t2tb2(X38),t2tb(X6)) | ? [X41 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) & mem(vertex,t2tb2(X41),t2tb(X6)))) & ! [X42 : vertex1] : (! [X43 : vertex1] : (((mem(vertex,t2tb2(X43),t2tb(X6)) | mem(vertex,t2tb2(X43),t2tb(X8))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X42))),weight1(X42,X43)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X43))))) | ~mem(vertex,t2tb2(X43),t2tb(g_succ1(X42)))) | ~mem(vertex,t2tb2(X42),t2tb(X8))) & ! [X44 : vertex1] : (path1(X0,X44,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X44)))) | ~mem(vertex,t2tb2(X44),t2tb(X6))) & ! [X45 : vertex1] : (shortest_path1(X0,X45,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(X8)))) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3 & ! [X46 : vertex1] : ~mem(vertex,t2tb2(X46),t2tb(X5))) & mem(vertex,t2tb2(X0),t2tb(v1)) & mem(vertex,t2tb2(X1),t2tb(v1))) => (? [X5 : set_vertex,X4 : map_vertex_int,X3 : set_vertex] : (? [X8 : set_vertex,X7 : map_vertex_int,X6 : set_vertex] : (? [X9 : bool1] : (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(X12))) | sP0(X19,X18,X14,X20,X11,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(X12),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X12)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (X11 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | X11 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK1))) & inv_src1(sK1,X12,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(X8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~path1(sK1,X11,X32)) & path1(sK1,X11,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) & mem(vertex,t2tb2(X11),t2tb(X6)) & tb2t(remove(vertex,t2tb2(X11),t2tb(X6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(X6)))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(X6)) & true1 != X9 & (! [X35 : vertex1] : ~mem(vertex,t2tb2(X35),t2tb(X6)) | true1 != X9) & (true1 = X9 | ? [X36 : vertex1] : mem(vertex,t2tb2(X36),t2tb(X6)))) & inv_src1(sK1,X8,X6) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(sK1))) & subset(vertex,t2tb(X8),t2tb(v1)) & subset(vertex,t2tb(X6),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(X8)) | ~mem(vertex,t2tb2(X37),t2tb(X6))) & ! [X38 : vertex1] : (! [X40 : $int,X39 : vertex1] : (mem(vertex,t2tb2(X39),t2tb(X8)) | ~$less(X40,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) | ~path1(sK1,X39,X40)) | ~mem(vertex,t2tb2(X38),t2tb(X6)) | ? [X41 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) & mem(vertex,t2tb2(X41),t2tb(X6)))) & ! [X42 : vertex1] : (! [X43 : vertex1] : (((mem(vertex,t2tb2(X43),t2tb(X6)) | mem(vertex,t2tb2(X43),t2tb(X8))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X42))),weight1(X42,X43)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X43))))) | ~mem(vertex,t2tb2(X43),t2tb(g_succ1(X42)))) | ~mem(vertex,t2tb2(X42),t2tb(X8))) & ! [X44 : vertex1] : (path1(sK1,X44,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X44)))) | ~mem(vertex,t2tb2(X44),t2tb(X6))) & ! [X45 : vertex1] : (shortest_path1(sK1,X45,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(X8)))) & tb2t1(set1(int,vertex,t2tb1(sK3),t2tb2(sK1),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(sK1),empty(vertex))) = X3 & ! [X46 : vertex1] : ~mem(vertex,t2tb2(X46),t2tb(X5))) & mem(vertex,t2tb2(sK1),t2tb(v1)) & mem(vertex,t2tb2(sK2),t2tb(v1)))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f225,plain,( 39.42/5.42 ? [X5 : set_vertex,X4 : map_vertex_int,X3 : set_vertex] : (? [X8 : set_vertex,X7 : map_vertex_int,X6 : set_vertex] : (? [X9 : bool1] : (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(X12))) | sP0(X19,X18,X14,X20,X11,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(X12),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X12)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (X11 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | X11 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK1))) & inv_src1(sK1,X12,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(X8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~path1(sK1,X11,X32)) & path1(sK1,X11,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) & mem(vertex,t2tb2(X11),t2tb(X6)) & tb2t(remove(vertex,t2tb2(X11),t2tb(X6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(X6)))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(X6)) & true1 != X9 & (! [X35 : vertex1] : ~mem(vertex,t2tb2(X35),t2tb(X6)) | true1 != X9) & (true1 = X9 | ? [X36 : vertex1] : mem(vertex,t2tb2(X36),t2tb(X6)))) & inv_src1(sK1,X8,X6) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(sK1))) & subset(vertex,t2tb(X8),t2tb(v1)) & subset(vertex,t2tb(X6),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(X8)) | ~mem(vertex,t2tb2(X37),t2tb(X6))) & ! [X38 : vertex1] : (! [X40 : $int,X39 : vertex1] : (mem(vertex,t2tb2(X39),t2tb(X8)) | ~$less(X40,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) | ~path1(sK1,X39,X40)) | ~mem(vertex,t2tb2(X38),t2tb(X6)) | ? [X41 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) & mem(vertex,t2tb2(X41),t2tb(X6)))) & ! [X42 : vertex1] : (! [X43 : vertex1] : (((mem(vertex,t2tb2(X43),t2tb(X6)) | mem(vertex,t2tb2(X43),t2tb(X8))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X42))),weight1(X42,X43)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X43))))) | ~mem(vertex,t2tb2(X43),t2tb(g_succ1(X42)))) | ~mem(vertex,t2tb2(X42),t2tb(X8))) & ! [X44 : vertex1] : (path1(sK1,X44,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X44)))) | ~mem(vertex,t2tb2(X44),t2tb(X6))) & ! [X45 : vertex1] : (shortest_path1(sK1,X45,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(X8)))) & tb2t1(set1(int,vertex,t2tb1(sK3),t2tb2(sK1),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(sK1),empty(vertex))) = X3 & ! [X46 : vertex1] : ~mem(vertex,t2tb2(X46),t2tb(X5))) => (? [X8 : set_vertex,X7 : map_vertex_int,X6 : set_vertex] : (? [X9 : bool1] : (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(X12))) | sP0(X19,X18,X14,X20,X11,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(X12),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X12)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (X11 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | X11 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK1))) & inv_src1(sK1,X12,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(X8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~path1(sK1,X11,X32)) & path1(sK1,X11,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) & mem(vertex,t2tb2(X11),t2tb(X6)) & tb2t(remove(vertex,t2tb2(X11),t2tb(X6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(X6)))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(X6)) & true1 != X9 & (! [X35 : vertex1] : ~mem(vertex,t2tb2(X35),t2tb(X6)) | true1 != X9) & (true1 = X9 | ? [X36 : vertex1] : mem(vertex,t2tb2(X36),t2tb(X6)))) & inv_src1(sK1,X8,X6) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(sK1))) & subset(vertex,t2tb(X8),t2tb(v1)) & subset(vertex,t2tb(X6),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(X8)) | ~mem(vertex,t2tb2(X37),t2tb(X6))) & ! [X38 : vertex1] : (! [X40 : $int,X39 : vertex1] : (mem(vertex,t2tb2(X39),t2tb(X8)) | ~$less(X40,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) | ~path1(sK1,X39,X40)) | ~mem(vertex,t2tb2(X38),t2tb(X6)) | ? [X41 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) & mem(vertex,t2tb2(X41),t2tb(X6)))) & ! [X42 : vertex1] : (! [X43 : vertex1] : (((mem(vertex,t2tb2(X43),t2tb(X6)) | mem(vertex,t2tb2(X43),t2tb(X8))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X42))),weight1(X42,X43)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X43))))) | ~mem(vertex,t2tb2(X43),t2tb(g_succ1(X42)))) | ~mem(vertex,t2tb2(X42),t2tb(X8))) & ! [X44 : vertex1] : (path1(sK1,X44,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X44)))) | ~mem(vertex,t2tb2(X44),t2tb(X6))) & ! [X45 : vertex1] : (shortest_path1(sK1,X45,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(X8)))) & tb2t1(set1(int,vertex,t2tb1(sK3),t2tb2(sK1),t2tb3(0))) = sK5 & tb2t(add(vertex,t2tb2(sK1),empty(vertex))) = sK4 & ! [X46 : vertex1] : ~mem(vertex,t2tb2(X46),t2tb(sK6)))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f226,plain,( 39.42/5.42 ? [X8 : set_vertex,X7 : map_vertex_int,X6 : set_vertex] : (? [X9 : bool1] : (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(X12))) | sP0(X19,X18,X14,X20,X11,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(X12),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X12)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (X11 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | X11 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK1))) & inv_src1(sK1,X12,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(X8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~path1(sK1,X11,X32)) & path1(sK1,X11,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) & mem(vertex,t2tb2(X11),t2tb(X6)) & tb2t(remove(vertex,t2tb2(X11),t2tb(X6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(X6)))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(X6)) & true1 != X9 & (! [X35 : vertex1] : ~mem(vertex,t2tb2(X35),t2tb(X6)) | true1 != X9) & (true1 = X9 | ? [X36 : vertex1] : mem(vertex,t2tb2(X36),t2tb(X6)))) & inv_src1(sK1,X8,X6) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(sK1))) & subset(vertex,t2tb(X8),t2tb(v1)) & subset(vertex,t2tb(X6),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(X8)) | ~mem(vertex,t2tb2(X37),t2tb(X6))) & ! [X38 : vertex1] : (! [X40 : $int,X39 : vertex1] : (mem(vertex,t2tb2(X39),t2tb(X8)) | ~$less(X40,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) | ~path1(sK1,X39,X40)) | ~mem(vertex,t2tb2(X38),t2tb(X6)) | ? [X41 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) & mem(vertex,t2tb2(X41),t2tb(X6)))) & ! [X42 : vertex1] : (! [X43 : vertex1] : (((mem(vertex,t2tb2(X43),t2tb(X6)) | mem(vertex,t2tb2(X43),t2tb(X8))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X42))),weight1(X42,X43)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X43))))) | ~mem(vertex,t2tb2(X43),t2tb(g_succ1(X42)))) | ~mem(vertex,t2tb2(X42),t2tb(X8))) & ! [X44 : vertex1] : (path1(sK1,X44,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X44)))) | ~mem(vertex,t2tb2(X44),t2tb(X6))) & ! [X45 : vertex1] : (shortest_path1(sK1,X45,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(X8)))) => (? [X9 : bool1] : (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(X12))) | sP0(X19,X18,X14,X20,X11,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(X12),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X12)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (X11 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | X11 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK1))) & inv_src1(sK1,X12,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(sK9))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X11)))) | ~path1(sK1,X11,X32)) & path1(sK1,X11,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X11)))) & mem(vertex,t2tb2(X11),t2tb(sK7)) & tb2t(remove(vertex,t2tb2(X11),t2tb(sK7))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(sK7)))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(sK7)) & true1 != X9 & (! [X35 : vertex1] : ~mem(vertex,t2tb2(X35),t2tb(sK7)) | true1 != X9) & (true1 = X9 | ? [X36 : vertex1] : mem(vertex,t2tb2(X36),t2tb(sK7)))) & inv_src1(sK1,sK9,sK7) & 0 = tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK1))) & subset(vertex,t2tb(sK9),t2tb(v1)) & subset(vertex,t2tb(sK7),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(sK9)) | ~mem(vertex,t2tb2(X37),t2tb(sK7))) & ! [X38 : vertex1] : (! [X40 : $int,X39 : vertex1] : (mem(vertex,t2tb2(X39),t2tb(sK9)) | ~$less(X40,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X38)))) | ~path1(sK1,X39,X40)) | ~mem(vertex,t2tb2(X38),t2tb(sK7)) | ? [X41 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X41))),tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X38)))) & mem(vertex,t2tb2(X41),t2tb(sK7)))) & ! [X42 : vertex1] : (! [X43 : vertex1] : (((mem(vertex,t2tb2(X43),t2tb(sK7)) | mem(vertex,t2tb2(X43),t2tb(sK9))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X42))),weight1(X42,X43)),tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X43))))) | ~mem(vertex,t2tb2(X43),t2tb(g_succ1(X42)))) | ~mem(vertex,t2tb2(X42),t2tb(sK9))) & ! [X44 : vertex1] : (path1(sK1,X44,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X44)))) | ~mem(vertex,t2tb2(X44),t2tb(sK7))) & ! [X45 : vertex1] : (shortest_path1(sK1,X45,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(sK9))))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f227,plain,( 39.42/5.42 ? [X9 : bool1] : (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(X12))) | sP0(X19,X18,X14,X20,X11,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(X12),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X12)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (X11 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | X11 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK1))) & inv_src1(sK1,X12,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(sK9))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X11)))) | ~path1(sK1,X11,X32)) & path1(sK1,X11,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X11)))) & mem(vertex,t2tb2(X11),t2tb(sK7)) & tb2t(remove(vertex,t2tb2(X11),t2tb(sK7))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(sK7)))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(sK7)) & true1 != X9 & (! [X35 : vertex1] : ~mem(vertex,t2tb2(X35),t2tb(sK7)) | true1 != X9) & (true1 = X9 | ? [X36 : vertex1] : mem(vertex,t2tb2(X36),t2tb(sK7)))) => (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(X12))) | sP0(X19,X18,X14,X20,X11,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(X12),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X12)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (X11 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | X11 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK1))) & inv_src1(sK1,X12,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(sK9))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X11)))) | ~path1(sK1,X11,X32)) & path1(sK1,X11,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X11)))) & mem(vertex,t2tb2(X11),t2tb(sK7)) & tb2t(remove(vertex,t2tb2(X11),t2tb(sK7))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(sK7)))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(sK7)) & true1 != sK10 & (! [X35 : vertex1] : ~mem(vertex,t2tb2(X35),t2tb(sK7)) | true1 != sK10) & (true1 = sK10 | ? [X36 : vertex1] : mem(vertex,t2tb2(X36),t2tb(sK7))))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f228,plain,( 39.42/5.42 ? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(X12))) | sP0(X19,X18,X14,X20,X11,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(X12),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X12)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (X11 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | X11 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK1))) & inv_src1(sK1,X12,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(sK9))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X11)))) | ~path1(sK1,X11,X32)) & path1(sK1,X11,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X11)))) & mem(vertex,t2tb2(X11),t2tb(sK7)) & tb2t(remove(vertex,t2tb2(X11),t2tb(sK7))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(sK7)))) => (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK12 = X21) | sK12 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK12))),weight1(sK12,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(X12))) | sP0(X19,X18,X14,X20,sK12,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(X12),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X12)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (sK12 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | sK12 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK1))) & inv_src1(sK1,X12,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK12))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(sK12),t2tb(sK9))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK12)))) | ~path1(sK1,sK12,X32)) & path1(sK1,sK12,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK12)))) & mem(vertex,t2tb2(sK12),t2tb(sK7)) & sK11 = tb2t(remove(vertex,t2tb2(sK12),t2tb(sK7))) & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK12)))) | ~mem(vertex,t2tb2(X33),t2tb(sK7))))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f229,plain,( 39.42/5.42 ? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK12 = X21) | sK12 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK12))),weight1(sK12,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(X12))) | sP0(X19,X18,X14,X20,sK12,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(X12),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X12)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (sK12 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | sK12 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK1))) & inv_src1(sK1,X12,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK12))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(sK12),t2tb(sK9))) = X12) => (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK13)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK12 = X21) | sK12 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK13))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(sK13)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK12))),weight1(sK12,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(sK13))) | sP0(X19,X18,X14,X20,sK12,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(sK13),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(sK13)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (sK12 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | sK12 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(sK13))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(sK13))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(sK13)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK1))) & inv_src1(sK1,sK13,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK12))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(sK12),t2tb(sK9))) = sK13)), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f230,plain,( 39.42/5.42 ? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK13)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK12 = X21) | sK12 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK13))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(sK13)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK12))),weight1(sK12,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(sK13))) | sP0(X19,X18,X14,X20,sK12,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(sK13),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(sK13)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (sK12 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | sK12 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(sK13))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(sK13))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(sK13)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK1))) & inv_src1(sK1,sK13,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK12))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) => (? [X16 : bool1] : (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK13)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK12 = X21) | sK12 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK13))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(sK13)) & sK15 = X19 & sK16 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & sK16 = X20 & sK15 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(sK15)) & tb2t(add(vertex,t2tb2(X18),t2tb(sK15))) = X19 & tb2t1(set1(int,vertex,t2tb1(sK16),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))),weight1(sK12,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(sK13))) | sP0(X19,X18,sK15,X20,sK12,sK16))) & mem(vertex,t2tb2(X18),t2tb(sK14)) & tb2t(remove(vertex,t2tb2(X18),t2tb(sK14))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(sK14)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(sK14)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(sK14)))) & subset(vertex,t2tb(sK13),t2tb(v1)) & ! [X26 : vertex1] : (path1(sK1,X26,tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(sK15))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(sK13)) | mem(vertex,t2tb2(X28),t2tb(sK15)))) | (sK12 = X27 & (mem(vertex,t2tb2(X28),t2tb(sK14)) | sK12 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(sK13))) & ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(sK13))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(sK13)) | ~mem(vertex,t2tb2(X30),t2tb(sK15))) & subset(vertex,t2tb(sK15),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK1))) & inv_src1(sK1,sK13,sK15) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK12))) | ~mem(vertex,t2tb2(X31),t2tb(sK14))))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f231,plain,( 39.42/5.42 ? [X16 : bool1] : (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK13)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK12 = X21) | sK12 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK13))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(sK13)) & sK15 = X19 & sK16 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & sK16 = X20 & sK15 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(sK15)) & tb2t(add(vertex,t2tb2(X18),t2tb(sK15))) = X19 & tb2t1(set1(int,vertex,t2tb1(sK16),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))),weight1(sK12,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(sK13))) | sP0(X19,X18,sK15,X20,sK12,sK16))) & mem(vertex,t2tb2(X18),t2tb(sK14)) & tb2t(remove(vertex,t2tb2(X18),t2tb(sK14))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(sK14)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(sK14)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(sK14)))) => (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK13)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK12 = X21) | sK12 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK13))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(sK13)) & sK15 = X19 & sK16 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & sK16 = X20 & sK15 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(sK15)) & tb2t(add(vertex,t2tb2(X18),t2tb(sK15))) = X19 & tb2t1(set1(int,vertex,t2tb1(sK16),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))),weight1(sK12,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(sK13))) | sP0(X19,X18,sK15,X20,sK12,sK16))) & mem(vertex,t2tb2(X18),t2tb(sK14)) & tb2t(remove(vertex,t2tb2(X18),t2tb(sK14))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(sK14)) & true1 = sK17 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(sK14)) | true1 != sK17) & (true1 = sK17 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(sK14))))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f232,plain,( 39.42/5.42 ? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK13)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK12 = X21) | sK12 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK13))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(sK13)) & sK15 = X19 & sK16 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & sK16 = X20 & sK15 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(sK15)) & tb2t(add(vertex,t2tb2(X18),t2tb(sK15))) = X19 & tb2t1(set1(int,vertex,t2tb1(sK16),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))),weight1(sK12,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(sK13))) | sP0(X19,X18,sK15,X20,sK12,sK16))) & mem(vertex,t2tb2(X18),t2tb(sK14)) & tb2t(remove(vertex,t2tb2(X18),t2tb(sK14))) = X17) => (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK13)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(sK18)) & sK12 = X21) | sK12 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK13))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,sK19)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK19))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK19))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,sK19)))) & ((mem(vertex,t2tb2(sK19),t2tb(sK13)) & sK15 = X19 & sK16 = X20) | (mem(vertex,t2tb2(sK19),t2tb(X19)) & sK16 = X20 & sK15 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,sK19)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK19))))) | (~mem(vertex,t2tb2(sK19),t2tb(sK15)) & tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) = X19 & tb2t1(set1(int,vertex,t2tb1(sK16),t2tb2(sK19),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))),weight1(sK12,sK19))))) = X20 & ~mem(vertex,t2tb2(sK19),t2tb(sK13))) | sP0(X19,sK19,sK15,X20,sK12,sK16))) & mem(vertex,t2tb2(sK19),t2tb(sK14)) & sK18 = tb2t(remove(vertex,t2tb2(sK19),t2tb(sK14))))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f233,plain,( 39.42/5.42 ? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK13)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(sK18)) & sK12 = X21) | sK12 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK13))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,sK19)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK19))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK19))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,sK19)))) & ((mem(vertex,t2tb2(sK19),t2tb(sK13)) & sK15 = X19 & sK16 = X20) | (mem(vertex,t2tb2(sK19),t2tb(X19)) & sK16 = X20 & sK15 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK12))),weight1(sK12,sK19)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK19))))) | (~mem(vertex,t2tb2(sK19),t2tb(sK15)) & tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) = X19 & tb2t1(set1(int,vertex,t2tb1(sK16),t2tb2(sK19),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))),weight1(sK12,sK19))))) = X20 & ~mem(vertex,t2tb2(sK19),t2tb(sK13))) | sP0(X19,sK19,sK15,X20,sK12,sK16))) => (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK13)) & ~mem(vertex,t2tb2(X22),t2tb(sK20)) & ((~mem(vertex,t2tb2(X22),t2tb(sK18)) & sK12 = X21) | sK12 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK13))) & ($sum(tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK12))),weight1(sK12,sK19)) = tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK19))) | $less(tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK19))),$sum(tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK12))),weight1(sK12,sK19)))) & ((mem(vertex,t2tb2(sK19),t2tb(sK13)) & sK15 = sK20 & sK16 = sK21) | (mem(vertex,t2tb2(sK19),t2tb(sK20)) & sK16 = sK21 & sK15 = sK20 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK12))),weight1(sK12,sK19)),tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK19))))) | (~mem(vertex,t2tb2(sK19),t2tb(sK15)) & tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) = sK20 & tb2t1(set1(int,vertex,t2tb1(sK16),t2tb2(sK19),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))),weight1(sK12,sK19))))) = sK21 & ~mem(vertex,t2tb2(sK19),t2tb(sK13))) | sP0(sK20,sK19,sK15,sK21,sK12,sK16)))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f234,plain,( 39.42/5.42 ? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK13)) & ~mem(vertex,t2tb2(X22),t2tb(sK20)) & ((~mem(vertex,t2tb2(X22),t2tb(sK18)) & sK12 = X21) | sK12 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK13))) => (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK13)) & ~mem(vertex,t2tb2(X22),t2tb(sK20)) & ((~mem(vertex,t2tb2(X22),t2tb(sK18)) & sK12 = sK22) | sK12 != sK22) & mem(vertex,t2tb2(X22),t2tb(g_succ1(sK22)))) & mem(vertex,t2tb2(sK22),t2tb(sK13)))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f235,plain,( 39.42/5.42 ? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK13)) & ~mem(vertex,t2tb2(X22),t2tb(sK20)) & ((~mem(vertex,t2tb2(X22),t2tb(sK18)) & sK12 = sK22) | sK12 != sK22) & mem(vertex,t2tb2(X22),t2tb(g_succ1(sK22)))) => (~mem(vertex,t2tb2(sK23),t2tb(sK13)) & ~mem(vertex,t2tb2(sK23),t2tb(sK20)) & ((~mem(vertex,t2tb2(sK23),t2tb(sK18)) & sK12 = sK22) | sK12 != sK22) & mem(vertex,t2tb2(sK23),t2tb(g_succ1(sK22))))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f236,plain,( 39.42/5.42 ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(sK14)) => mem(vertex,t2tb2(sK24),t2tb(sK14))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f237,plain,( 39.42/5.42 ? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(sK14)) => mem(vertex,t2tb2(sK25),t2tb(sK14))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f238,plain,( 39.42/5.42 ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(sK7)) => mem(vertex,t2tb2(sK26),t2tb(sK7))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f239,plain,( 39.42/5.42 ? [X36 : vertex1] : mem(vertex,t2tb2(X36),t2tb(sK7)) => mem(vertex,t2tb2(sK27),t2tb(sK7))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f240,plain,( 39.42/5.42 ! [X38 : vertex1] : (? [X41 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X41))),tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X38)))) & mem(vertex,t2tb2(X41),t2tb(sK7))) => ($less(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK28(X38)))),tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X38)))) & mem(vertex,t2tb2(sK28(X38)),t2tb(sK7))))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f223,plain,( 39.42/5.42 ? [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : (? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (? [X6 : set_vertex,X7 : map_vertex_int,X8 : set_vertex] : (? [X9 : bool1] : (? [X10 : set_vertex,X11 : vertex1] : (? [X12 : set_vertex] : (? [X13 : set_vertex,X14 : set_vertex,X15 : map_vertex_int] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20) | (mem(vertex,t2tb2(X18),t2tb(X19)) & X15 = X20 & X14 = X19 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19 & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & ~mem(vertex,t2tb2(X18),t2tb(X12))) | sP0(X19,X18,X14,X20,X11,X15))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & subset(vertex,t2tb(X12),t2tb(v1)) & ! [X26 : vertex1] : (path1(X0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X12)) | mem(vertex,t2tb2(X28),t2tb(X14)))) | (X11 = X27 & (mem(vertex,t2tb2(X28),t2tb(X13)) | X11 != X27)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(X0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X0))) & inv_src1(X0,X12,X14) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(X8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~path1(X0,X11,X32)) & path1(X0,X11,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) & mem(vertex,t2tb2(X11),t2tb(X6)) & tb2t(remove(vertex,t2tb2(X11),t2tb(X6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(X6)))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(X6)) & true1 != X9 & (! [X35 : vertex1] : ~mem(vertex,t2tb2(X35),t2tb(X6)) | true1 != X9) & (true1 = X9 | ? [X36 : vertex1] : mem(vertex,t2tb2(X36),t2tb(X6)))) & inv_src1(X0,X8,X6) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X0))) & subset(vertex,t2tb(X8),t2tb(v1)) & subset(vertex,t2tb(X6),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(X8)) | ~mem(vertex,t2tb2(X37),t2tb(X6))) & ! [X38 : vertex1] : (! [X39 : vertex1,X40 : $int] : (mem(vertex,t2tb2(X39),t2tb(X8)) | ~$less(X40,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) | ~path1(X0,X39,X40)) | ~mem(vertex,t2tb2(X38),t2tb(X6)) | ? [X41 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) & mem(vertex,t2tb2(X41),t2tb(X6)))) & ! [X42 : vertex1] : (! [X43 : vertex1] : (((mem(vertex,t2tb2(X43),t2tb(X6)) | mem(vertex,t2tb2(X43),t2tb(X8))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X42))),weight1(X42,X43)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X43))))) | ~mem(vertex,t2tb2(X43),t2tb(g_succ1(X42)))) | ~mem(vertex,t2tb2(X42),t2tb(X8))) & ! [X44 : vertex1] : (path1(X0,X44,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X44)))) | ~mem(vertex,t2tb2(X44),t2tb(X6))) & ! [X45 : vertex1] : (shortest_path1(X0,X45,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(X8)))) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3 & ! [X46 : vertex1] : ~mem(vertex,t2tb2(X46),t2tb(X5))) & mem(vertex,t2tb2(X0),t2tb(v1)) & mem(vertex,t2tb2(X1),t2tb(v1)))), 39.42/5.42 inference(rectify,[],[f222])). 39.42/5.42 tff(f222,plain,( 39.42/5.42 ? [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : (? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (? [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : (? [X19 : bool1] : (? [X22 : set_vertex,X23 : vertex1] : (? [X26 : set_vertex] : (? [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : (? [X36 : bool1] : (? [X39 : set_vertex,X40 : vertex1] : (? [X41 : set_vertex,X42 : map_vertex_int] : (? [X43 : vertex1] : (? [X44 : vertex1] : (~mem(vertex,t2tb2(X44),t2tb(X26)) & ~mem(vertex,t2tb2(X44),t2tb(X41)) & ((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43) & mem(vertex,t2tb2(X44),t2tb(g_succ1(X43)))) & mem(vertex,t2tb2(X43),t2tb(X26))) & ($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)))) & ((mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42) | (mem(vertex,t2tb2(X40),t2tb(X41)) & X29 = X42 & X28 = X41 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & ~mem(vertex,t2tb2(X40),t2tb(X26))) | sP0(X41,X40,X28,X42,X23,X29))) & mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39) & ? [X38 : vertex1] : mem(vertex,t2tb2(X38),t2tb(X27)) & true1 = X36 & (? [X37 : vertex1] : mem(vertex,t2tb2(X37),t2tb(X27)) | true1 != X36) & (true1 = X36 | ! [X37 : vertex1] : ~mem(vertex,t2tb2(X37),t2tb(X27)))) & subset(vertex,t2tb(X26),t2tb(v1)) & ! [X30 : vertex1] : (path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30)))) | ~mem(vertex,t2tb2(X30),t2tb(X28))) & ! [X31 : vertex1] : (! [X32 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X26)) | mem(vertex,t2tb2(X32),t2tb(X28)))) | (X23 = X31 & (mem(vertex,t2tb2(X32),t2tb(X27)) | X23 != X31)) | ~mem(vertex,t2tb2(X32),t2tb(g_succ1(X31)))) | ~mem(vertex,t2tb2(X31),t2tb(X26))) & ! [X33 : vertex1] : (shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33)))) | ~mem(vertex,t2tb2(X33),t2tb(X26))) & ! [X34 : vertex1] : (~mem(vertex,t2tb2(X34),t2tb(X26)) | ~mem(vertex,t2tb2(X34),t2tb(X28))) & subset(vertex,t2tb(X28),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & inv_src1(X0,X26,X28) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))) | ~mem(vertex,t2tb2(X35),t2tb(X27)))) & tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26) & ! [X25 : $int] : (~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~path1(X0,X23,X25)) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) & mem(vertex,t2tb2(X23),t2tb(X7)) & tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~mem(vertex,t2tb2(X24),t2tb(X7)))) & ? [X21 : vertex1] : mem(vertex,t2tb2(X21),t2tb(X7)) & true1 != X19 & (! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7)) | true1 != X19) & (true1 = X19 | ? [X20 : vertex1] : mem(vertex,t2tb2(X20),t2tb(X7)))) & inv_src1(X0,X9,X7) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & subset(vertex,t2tb(X9),t2tb(v1)) & subset(vertex,t2tb(X7),t2tb(v1)) & ! [X10 : vertex1] : (~mem(vertex,t2tb2(X10),t2tb(X9)) | ~mem(vertex,t2tb2(X10),t2tb(X7))) & ! [X11 : vertex1] : (! [X13 : vertex1,X14 : $int] : (mem(vertex,t2tb2(X13),t2tb(X9)) | ~$less(X14,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) | ~path1(X0,X13,X14)) | ~mem(vertex,t2tb2(X11),t2tb(X7)) | ? [X12 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) & mem(vertex,t2tb2(X12),t2tb(X7)))) & ! [X15 : vertex1] : (! [X16 : vertex1] : (((mem(vertex,t2tb2(X16),t2tb(X7)) | mem(vertex,t2tb2(X16),t2tb(X9))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),weight1(X15,X16)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X16))))) | ~mem(vertex,t2tb2(X16),t2tb(g_succ1(X15)))) | ~mem(vertex,t2tb2(X15),t2tb(X9))) & ! [X17 : vertex1] : (path1(X0,X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X17)))) | ~mem(vertex,t2tb2(X17),t2tb(X7))) & ! [X18 : vertex1] : (shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18)))) | ~mem(vertex,t2tb2(X18),t2tb(X9)))) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3 & ! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5))) & mem(vertex,t2tb2(X0),t2tb(v1)) & mem(vertex,t2tb2(X1),t2tb(v1)))), 39.42/5.42 inference(flattening,[],[f221])). 39.42/5.42 tff(f221,plain,( 39.42/5.42 ? [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : (? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (? [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : (? [X19 : bool1] : (? [X22 : set_vertex,X23 : vertex1] : (? [X26 : set_vertex] : (? [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : (? [X36 : bool1] : (? [X39 : set_vertex,X40 : vertex1] : (? [X41 : set_vertex,X42 : map_vertex_int] : (? [X43 : vertex1] : (? [X44 : vertex1] : (~mem(vertex,t2tb2(X44),t2tb(X26)) & ~mem(vertex,t2tb2(X44),t2tb(X41)) & ((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43) & mem(vertex,t2tb2(X44),t2tb(g_succ1(X43)))) & mem(vertex,t2tb2(X43),t2tb(X26))) & ($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)))) & ((mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42) | (mem(vertex,t2tb2(X40),t2tb(X41)) & X29 = X42 & X28 = X41 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & ~mem(vertex,t2tb2(X40),t2tb(X26))) | sP0(X41,X40,X28,X42,X23,X29))) & mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39) & ? [X38 : vertex1] : mem(vertex,t2tb2(X38),t2tb(X27)) & true1 = X36 & ((? [X37 : vertex1] : mem(vertex,t2tb2(X37),t2tb(X27)) | true1 != X36) & (true1 = X36 | ! [X37 : vertex1] : ~mem(vertex,t2tb2(X37),t2tb(X27))))) & subset(vertex,t2tb(X26),t2tb(v1)) & ! [X30 : vertex1] : (path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30)))) | ~mem(vertex,t2tb2(X30),t2tb(X28))) & ! [X31 : vertex1] : (! [X32 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X26)) | mem(vertex,t2tb2(X32),t2tb(X28)))) | (X23 = X31 & (mem(vertex,t2tb2(X32),t2tb(X27)) | X23 != X31)) | ~mem(vertex,t2tb2(X32),t2tb(g_succ1(X31)))) | ~mem(vertex,t2tb2(X31),t2tb(X26))) & ! [X33 : vertex1] : (shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33)))) | ~mem(vertex,t2tb2(X33),t2tb(X26))) & ! [X34 : vertex1] : (~mem(vertex,t2tb2(X34),t2tb(X26)) | ~mem(vertex,t2tb2(X34),t2tb(X28))) & subset(vertex,t2tb(X28),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & inv_src1(X0,X26,X28) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))) | ~mem(vertex,t2tb2(X35),t2tb(X27)))) & tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26) & ! [X25 : $int] : (~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~path1(X0,X23,X25)) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) & mem(vertex,t2tb2(X23),t2tb(X7)) & tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~mem(vertex,t2tb2(X24),t2tb(X7)))) & ? [X21 : vertex1] : mem(vertex,t2tb2(X21),t2tb(X7)) & true1 != X19 & ((! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7)) | true1 != X19) & (true1 = X19 | ? [X20 : vertex1] : mem(vertex,t2tb2(X20),t2tb(X7))))) & inv_src1(X0,X9,X7) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & subset(vertex,t2tb(X9),t2tb(v1)) & subset(vertex,t2tb(X7),t2tb(v1)) & ! [X10 : vertex1] : (~mem(vertex,t2tb2(X10),t2tb(X9)) | ~mem(vertex,t2tb2(X10),t2tb(X7))) & ! [X11 : vertex1] : (! [X13 : vertex1,X14 : $int] : (mem(vertex,t2tb2(X13),t2tb(X9)) | ~$less(X14,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) | ~path1(X0,X13,X14)) | ~mem(vertex,t2tb2(X11),t2tb(X7)) | ? [X12 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) & mem(vertex,t2tb2(X12),t2tb(X7)))) & ! [X15 : vertex1] : (! [X16 : vertex1] : (((mem(vertex,t2tb2(X16),t2tb(X7)) | mem(vertex,t2tb2(X16),t2tb(X9))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),weight1(X15,X16)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X16))))) | ~mem(vertex,t2tb2(X16),t2tb(g_succ1(X15)))) | ~mem(vertex,t2tb2(X15),t2tb(X9))) & ! [X17 : vertex1] : (path1(X0,X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X17)))) | ~mem(vertex,t2tb2(X17),t2tb(X7))) & ! [X18 : vertex1] : (shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18)))) | ~mem(vertex,t2tb2(X18),t2tb(X9)))) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3 & ! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5))) & mem(vertex,t2tb2(X0),t2tb(v1)) & mem(vertex,t2tb2(X1),t2tb(v1)))), 39.42/5.42 inference(nnf_transformation,[],[f218])). 39.42/5.42 tff(f218,plain,( 39.42/5.42 ? [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : (? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (? [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : (? [X19 : bool1] : (? [X22 : set_vertex,X23 : vertex1] : (? [X26 : set_vertex] : (? [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : (? [X36 : bool1] : (? [X39 : set_vertex,X40 : vertex1] : (? [X41 : set_vertex,X42 : map_vertex_int] : (? [X43 : vertex1] : (? [X44 : vertex1] : (~mem(vertex,t2tb2(X44),t2tb(X26)) & ~mem(vertex,t2tb2(X44),t2tb(X41)) & ((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43) & mem(vertex,t2tb2(X44),t2tb(g_succ1(X43)))) & mem(vertex,t2tb2(X43),t2tb(X26))) & ($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)))) & ((mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42) | (mem(vertex,t2tb2(X40),t2tb(X41)) & X29 = X42 & X28 = X41 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & ~mem(vertex,t2tb2(X40),t2tb(X26))) | sP0(X41,X40,X28,X42,X23,X29))) & mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39) & ? [X38 : vertex1] : mem(vertex,t2tb2(X38),t2tb(X27)) & true1 = X36 & (? [X37 : vertex1] : mem(vertex,t2tb2(X37),t2tb(X27)) <=> true1 = X36)) & subset(vertex,t2tb(X26),t2tb(v1)) & ! [X30 : vertex1] : (path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30)))) | ~mem(vertex,t2tb2(X30),t2tb(X28))) & ! [X31 : vertex1] : (! [X32 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X26)) | mem(vertex,t2tb2(X32),t2tb(X28)))) | (X23 = X31 & (mem(vertex,t2tb2(X32),t2tb(X27)) | X23 != X31)) | ~mem(vertex,t2tb2(X32),t2tb(g_succ1(X31)))) | ~mem(vertex,t2tb2(X31),t2tb(X26))) & ! [X33 : vertex1] : (shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33)))) | ~mem(vertex,t2tb2(X33),t2tb(X26))) & ! [X34 : vertex1] : (~mem(vertex,t2tb2(X34),t2tb(X26)) | ~mem(vertex,t2tb2(X34),t2tb(X28))) & subset(vertex,t2tb(X28),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & inv_src1(X0,X26,X28) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))) | ~mem(vertex,t2tb2(X35),t2tb(X27)))) & tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26) & ! [X25 : $int] : (~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~path1(X0,X23,X25)) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) & mem(vertex,t2tb2(X23),t2tb(X7)) & tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~mem(vertex,t2tb2(X24),t2tb(X7)))) & ? [X21 : vertex1] : mem(vertex,t2tb2(X21),t2tb(X7)) & true1 != X19 & (! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7)) <=> true1 = X19)) & inv_src1(X0,X9,X7) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & subset(vertex,t2tb(X9),t2tb(v1)) & subset(vertex,t2tb(X7),t2tb(v1)) & ! [X10 : vertex1] : (~mem(vertex,t2tb2(X10),t2tb(X9)) | ~mem(vertex,t2tb2(X10),t2tb(X7))) & ! [X11 : vertex1] : (! [X13 : vertex1,X14 : $int] : (mem(vertex,t2tb2(X13),t2tb(X9)) | ~$less(X14,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) | ~path1(X0,X13,X14)) | ~mem(vertex,t2tb2(X11),t2tb(X7)) | ? [X12 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) & mem(vertex,t2tb2(X12),t2tb(X7)))) & ! [X15 : vertex1] : (! [X16 : vertex1] : (((mem(vertex,t2tb2(X16),t2tb(X7)) | mem(vertex,t2tb2(X16),t2tb(X9))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),weight1(X15,X16)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X16))))) | ~mem(vertex,t2tb2(X16),t2tb(g_succ1(X15)))) | ~mem(vertex,t2tb2(X15),t2tb(X9))) & ! [X17 : vertex1] : (path1(X0,X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X17)))) | ~mem(vertex,t2tb2(X17),t2tb(X7))) & ! [X18 : vertex1] : (shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18)))) | ~mem(vertex,t2tb2(X18),t2tb(X9)))) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3 & ! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5))) & mem(vertex,t2tb2(X0),t2tb(v1)) & mem(vertex,t2tb2(X1),t2tb(v1)))), 39.42/5.42 inference(definition_folding,[],[f169,f217])). 39.42/5.42 tff(f217,plain,( 39.42/5.42 ! [X41 : set_vertex,X40 : vertex1,X28 : set_vertex,X42 : map_vertex_int,X23 : vertex1,X29 : map_vertex_int] : ((mem(vertex,t2tb2(X40),t2tb(X41)) & X28 = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40))))) | ~sP0(X41,X40,X28,X42,X23,X29))), 39.42/5.42 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])). 39.42/5.42 tff(f169,plain,( 39.42/5.42 ? [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : (? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (? [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : (? [X19 : bool1] : (? [X22 : set_vertex,X23 : vertex1] : (? [X26 : set_vertex] : (? [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : (? [X36 : bool1] : (? [X39 : set_vertex,X40 : vertex1] : (? [X41 : set_vertex,X42 : map_vertex_int] : (? [X43 : vertex1] : (? [X44 : vertex1] : (~mem(vertex,t2tb2(X44),t2tb(X26)) & ~mem(vertex,t2tb2(X44),t2tb(X41)) & ((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43) & mem(vertex,t2tb2(X44),t2tb(g_succ1(X43)))) & mem(vertex,t2tb2(X43),t2tb(X26))) & ($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)))) & ((mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42) | (mem(vertex,t2tb2(X40),t2tb(X41)) & X29 = X42 & X28 = X41 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & ~mem(vertex,t2tb2(X40),t2tb(X26))) | (mem(vertex,t2tb2(X40),t2tb(X41)) & X28 = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40))))))) & mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39) & ? [X38 : vertex1] : mem(vertex,t2tb2(X38),t2tb(X27)) & true1 = X36 & (? [X37 : vertex1] : mem(vertex,t2tb2(X37),t2tb(X27)) <=> true1 = X36)) & subset(vertex,t2tb(X26),t2tb(v1)) & ! [X30 : vertex1] : (path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30)))) | ~mem(vertex,t2tb2(X30),t2tb(X28))) & ! [X31 : vertex1] : (! [X32 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X26)) | mem(vertex,t2tb2(X32),t2tb(X28)))) | (X23 = X31 & (mem(vertex,t2tb2(X32),t2tb(X27)) | X23 != X31)) | ~mem(vertex,t2tb2(X32),t2tb(g_succ1(X31)))) | ~mem(vertex,t2tb2(X31),t2tb(X26))) & ! [X33 : vertex1] : (shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33)))) | ~mem(vertex,t2tb2(X33),t2tb(X26))) & ! [X34 : vertex1] : (~mem(vertex,t2tb2(X34),t2tb(X26)) | ~mem(vertex,t2tb2(X34),t2tb(X28))) & subset(vertex,t2tb(X28),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & inv_src1(X0,X26,X28) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))) | ~mem(vertex,t2tb2(X35),t2tb(X27)))) & tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26) & ! [X25 : $int] : (~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~path1(X0,X23,X25)) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) & mem(vertex,t2tb2(X23),t2tb(X7)) & tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~mem(vertex,t2tb2(X24),t2tb(X7)))) & ? [X21 : vertex1] : mem(vertex,t2tb2(X21),t2tb(X7)) & true1 != X19 & (! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7)) <=> true1 = X19)) & inv_src1(X0,X9,X7) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & subset(vertex,t2tb(X9),t2tb(v1)) & subset(vertex,t2tb(X7),t2tb(v1)) & ! [X10 : vertex1] : (~mem(vertex,t2tb2(X10),t2tb(X9)) | ~mem(vertex,t2tb2(X10),t2tb(X7))) & ! [X11 : vertex1] : (! [X13 : vertex1,X14 : $int] : (mem(vertex,t2tb2(X13),t2tb(X9)) | ~$less(X14,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) | ~path1(X0,X13,X14)) | ~mem(vertex,t2tb2(X11),t2tb(X7)) | ? [X12 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) & mem(vertex,t2tb2(X12),t2tb(X7)))) & ! [X15 : vertex1] : (! [X16 : vertex1] : (((mem(vertex,t2tb2(X16),t2tb(X7)) | mem(vertex,t2tb2(X16),t2tb(X9))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),weight1(X15,X16)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X16))))) | ~mem(vertex,t2tb2(X16),t2tb(g_succ1(X15)))) | ~mem(vertex,t2tb2(X15),t2tb(X9))) & ! [X17 : vertex1] : (path1(X0,X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X17)))) | ~mem(vertex,t2tb2(X17),t2tb(X7))) & ! [X18 : vertex1] : (shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18)))) | ~mem(vertex,t2tb2(X18),t2tb(X9)))) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3 & ! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5))) & mem(vertex,t2tb2(X0),t2tb(v1)) & mem(vertex,t2tb2(X1),t2tb(v1)))), 39.42/5.42 inference(flattening,[],[f168])). 39.42/5.42 tff(f168,plain,( 39.42/5.42 ? [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : (? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (? [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : (? [X19 : bool1] : (((? [X22 : set_vertex,X23 : vertex1] : ((? [X26 : set_vertex] : (? [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : (? [X36 : bool1] : (((? [X39 : set_vertex,X40 : vertex1] : (? [X41 : set_vertex,X42 : map_vertex_int] : ((? [X43 : vertex1] : (? [X44 : vertex1] : (((~mem(vertex,t2tb2(X44),t2tb(X26)) & ~mem(vertex,t2tb2(X44),t2tb(X41))) & ((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43)) & mem(vertex,t2tb2(X44),t2tb(g_succ1(X43)))) & mem(vertex,t2tb2(X43),t2tb(X26))) & ($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40))))) & ((mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42) | (mem(vertex,t2tb2(X40),t2tb(X41)) & X29 = X42 & X28 = X41 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & ~mem(vertex,t2tb2(X40),t2tb(X26))) | (mem(vertex,t2tb2(X40),t2tb(X41)) & X28 = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40))))))) & (mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39)) & ? [X38 : vertex1] : mem(vertex,t2tb2(X38),t2tb(X27))) & true1 = X36) & (? [X37 : vertex1] : mem(vertex,t2tb2(X37),t2tb(X27)) <=> true1 = X36)) & (subset(vertex,t2tb(X26),t2tb(v1)) & ! [X30 : vertex1] : (path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30)))) | ~mem(vertex,t2tb2(X30),t2tb(X28))) & ! [X31 : vertex1] : (! [X32 : vertex1] : (((~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X26)) | mem(vertex,t2tb2(X32),t2tb(X28)))) | (X23 = X31 & (mem(vertex,t2tb2(X32),t2tb(X27)) | X23 != X31))) | ~mem(vertex,t2tb2(X32),t2tb(g_succ1(X31)))) | ~mem(vertex,t2tb2(X31),t2tb(X26))) & ! [X33 : vertex1] : (shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33)))) | ~mem(vertex,t2tb2(X33),t2tb(X26))) & ! [X34 : vertex1] : (~mem(vertex,t2tb2(X34),t2tb(X26)) | ~mem(vertex,t2tb2(X34),t2tb(X28))) & subset(vertex,t2tb(X28),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & inv_src1(X0,X26,X28) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))) | ~mem(vertex,t2tb2(X35),t2tb(X27))))) & tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26) & (! [X25 : $int] : (~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~path1(X0,X23,X25)) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))))) & (mem(vertex,t2tb2(X23),t2tb(X7)) & tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~mem(vertex,t2tb2(X24),t2tb(X7))))) & ? [X21 : vertex1] : mem(vertex,t2tb2(X21),t2tb(X7))) & true1 != X19) & (! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7)) <=> true1 = X19)) & (inv_src1(X0,X9,X7) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & subset(vertex,t2tb(X9),t2tb(v1)) & subset(vertex,t2tb(X7),t2tb(v1)) & ! [X10 : vertex1] : (~mem(vertex,t2tb2(X10),t2tb(X9)) | ~mem(vertex,t2tb2(X10),t2tb(X7))) & ! [X11 : vertex1] : (! [X13 : vertex1,X14 : $int] : ((mem(vertex,t2tb2(X13),t2tb(X9)) | ~$less(X14,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11))))) | ~path1(X0,X13,X14)) | (~mem(vertex,t2tb2(X11),t2tb(X7)) | ? [X12 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) & mem(vertex,t2tb2(X12),t2tb(X7))))) & ! [X15 : vertex1] : (! [X16 : vertex1] : (((mem(vertex,t2tb2(X16),t2tb(X7)) | mem(vertex,t2tb2(X16),t2tb(X9))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),weight1(X15,X16)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X16))))) | ~mem(vertex,t2tb2(X16),t2tb(g_succ1(X15)))) | ~mem(vertex,t2tb2(X15),t2tb(X9))) & ! [X17 : vertex1] : (path1(X0,X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X17)))) | ~mem(vertex,t2tb2(X17),t2tb(X7))) & ! [X18 : vertex1] : (shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18)))) | ~mem(vertex,t2tb2(X18),t2tb(X9))))) & (tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3 & ! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5)))) & (mem(vertex,t2tb2(X0),t2tb(v1)) & mem(vertex,t2tb2(X1),t2tb(v1))))), 39.42/5.42 inference(ennf_transformation,[],[f94])). 39.42/5.42 tff(f94,plain,( 39.42/5.42 ~! [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : ((mem(vertex,t2tb2(X0),t2tb(v1)) & mem(vertex,t2tb2(X1),t2tb(v1))) => ! [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : ((tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3 & ! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5))) => ! [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : ((inv_src1(X0,X9,X7) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & subset(vertex,t2tb(X9),t2tb(v1)) & subset(vertex,t2tb(X7),t2tb(v1)) & ! [X10 : vertex1] : (mem(vertex,t2tb2(X10),t2tb(X7)) => ~mem(vertex,t2tb2(X10),t2tb(X9))) & ! [X11 : vertex1] : ((mem(vertex,t2tb2(X11),t2tb(X7)) & ! [X12 : vertex1] : (mem(vertex,t2tb2(X12),t2tb(X7)) => ~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))))) => ! [X13 : vertex1,X14 : $int] : (path1(X0,X13,X14) => ($less(X14,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) => mem(vertex,t2tb2(X13),t2tb(X9))))) & ! [X15 : vertex1] : (mem(vertex,t2tb2(X15),t2tb(X9)) => ! [X16 : vertex1] : (mem(vertex,t2tb2(X16),t2tb(g_succ1(X15))) => ((mem(vertex,t2tb2(X16),t2tb(X7)) | mem(vertex,t2tb2(X16),t2tb(X9))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),weight1(X15,X16)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X16))))))) & ! [X17 : vertex1] : (mem(vertex,t2tb2(X17),t2tb(X7)) => path1(X0,X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X17))))) & ! [X18 : vertex1] : (mem(vertex,t2tb2(X18),t2tb(X9)) => shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18)))))) => ! [X19 : bool1] : ((! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7)) <=> true1 = X19) => (true1 != X19 => (~! [X21 : vertex1] : ~mem(vertex,t2tb2(X21),t2tb(X7)) => ! [X22 : set_vertex,X23 : vertex1] : ((mem(vertex,t2tb2(X23),t2tb(X7)) & tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (mem(vertex,t2tb2(X24),t2tb(X7)) => ~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))))) => ((! [X25 : $int] : (path1(X0,X23,X25) => ~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) => ! [X26 : set_vertex] : (tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26 => ! [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : ((subset(vertex,t2tb(X26),t2tb(v1)) & ! [X30 : vertex1] : (mem(vertex,t2tb2(X30),t2tb(X28)) => path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30))))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(X26)) => ! [X32 : vertex1] : (mem(vertex,t2tb2(X32),t2tb(g_succ1(X31))) => ((X23 != X31 | (~mem(vertex,t2tb2(X32),t2tb(X27)) & X23 = X31)) => (~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X26)) | mem(vertex,t2tb2(X32),t2tb(X28))))))) & ! [X33 : vertex1] : (mem(vertex,t2tb2(X33),t2tb(X26)) => shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33))))) & ! [X34 : vertex1] : (mem(vertex,t2tb2(X34),t2tb(X28)) => ~mem(vertex,t2tb2(X34),t2tb(X26))) & subset(vertex,t2tb(X28),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & inv_src1(X0,X26,X28) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(X27)) => mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))))) => ! [X36 : bool1] : ((~! [X37 : vertex1] : ~mem(vertex,t2tb2(X37),t2tb(X27)) <=> true1 = X36) => (true1 = X36 => (~! [X38 : vertex1] : ~mem(vertex,t2tb2(X38),t2tb(X27)) => ! [X39 : set_vertex,X40 : vertex1] : ((mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39) => ! [X41 : set_vertex,X42 : map_vertex_int] : (((mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42) | (mem(vertex,t2tb2(X40),t2tb(X41)) & X29 = X42 & X28 = X41 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & ~mem(vertex,t2tb2(X40),t2tb(X26))) | (mem(vertex,t2tb2(X40),t2tb(X41)) & X28 = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40)))))) => (($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)))) => ! [X43 : vertex1] : (mem(vertex,t2tb2(X43),t2tb(X26)) => ! [X44 : vertex1] : (mem(vertex,t2tb2(X44),t2tb(g_succ1(X43))) => (((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43) => (mem(vertex,t2tb2(X44),t2tb(X26)) | mem(vertex,t2tb2(X44),t2tb(X41))))))))))))))))))))))), 39.42/5.42 inference(flattening,[],[f93])). 39.42/5.42 tff(f93,plain,( 39.42/5.42 ~! [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : ((mem(vertex,t2tb2(X0),t2tb(v1)) & mem(vertex,t2tb2(X1),t2tb(v1))) => ! [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : ((tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3 & ! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5))) => ! [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : ((inv_src1(X0,X9,X7) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & subset(vertex,t2tb(X9),t2tb(v1)) & subset(vertex,t2tb(X7),t2tb(v1)) & ! [X10 : vertex1] : (mem(vertex,t2tb2(X10),t2tb(X7)) => ~mem(vertex,t2tb2(X10),t2tb(X9))) & ! [X11 : vertex1] : ((mem(vertex,t2tb2(X11),t2tb(X7)) & ! [X12 : vertex1] : (mem(vertex,t2tb2(X12),t2tb(X7)) => ~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))))) => ! [X13 : vertex1,X14 : $int] : (path1(X0,X13,X14) => ($less(X14,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) => mem(vertex,t2tb2(X13),t2tb(X9))))) & ! [X15 : vertex1] : (mem(vertex,t2tb2(X15),t2tb(X9)) => ! [X16 : vertex1] : (mem(vertex,t2tb2(X16),t2tb(g_succ1(X15))) => ((mem(vertex,t2tb2(X16),t2tb(X7)) | mem(vertex,t2tb2(X16),t2tb(X9))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),weight1(X15,X16)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X16))))))) & ! [X17 : vertex1] : (mem(vertex,t2tb2(X17),t2tb(X7)) => path1(X0,X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X17))))) & ! [X18 : vertex1] : (mem(vertex,t2tb2(X18),t2tb(X9)) => shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18)))))) => ! [X19 : bool1] : ((! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7)) <=> true1 = X19) => (true1 != X19 => (~! [X21 : vertex1] : ~mem(vertex,t2tb2(X21),t2tb(X7)) => ! [X22 : set_vertex,X23 : vertex1] : ((mem(vertex,t2tb2(X23),t2tb(X7)) & tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (mem(vertex,t2tb2(X24),t2tb(X7)) => ~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))))) => ((! [X25 : $int] : (path1(X0,X23,X25) => ~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) => ! [X26 : set_vertex] : (tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26 => ! [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : ((subset(vertex,t2tb(X26),t2tb(v1)) & ! [X30 : vertex1] : (mem(vertex,t2tb2(X30),t2tb(X28)) => path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30))))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(X26)) => ! [X32 : vertex1] : (mem(vertex,t2tb2(X32),t2tb(g_succ1(X31))) => ((X23 != X31 | (~mem(vertex,t2tb2(X32),t2tb(X27)) & X23 = X31)) => (~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X26)) | mem(vertex,t2tb2(X32),t2tb(X28))))))) & ! [X33 : vertex1] : (mem(vertex,t2tb2(X33),t2tb(X26)) => shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33))))) & ! [X34 : vertex1] : (mem(vertex,t2tb2(X34),t2tb(X28)) => ~mem(vertex,t2tb2(X34),t2tb(X26))) & subset(vertex,t2tb(X28),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & inv_src1(X0,X26,X28) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(X27)) => mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))))) => ! [X36 : bool1] : ((~! [X37 : vertex1] : ~mem(vertex,t2tb2(X37),t2tb(X27)) <=> true1 = X36) => (true1 = X36 => (~! [X38 : vertex1] : ~mem(vertex,t2tb2(X38),t2tb(X27)) => ! [X39 : set_vertex,X40 : vertex1] : ((mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39) => ! [X41 : set_vertex,X42 : map_vertex_int] : (((mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42) | (mem(vertex,t2tb2(X40),t2tb(X41)) & X29 = X42 & X28 = X41 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & ~mem(vertex,t2tb2(X40),t2tb(X26))) | (mem(vertex,t2tb2(X40),t2tb(X41)) & X28 = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40)))))) => (($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)))) => ! [X43 : vertex1] : (mem(vertex,t2tb2(X43),t2tb(X26)) => ! [X44 : vertex1] : (mem(vertex,t2tb2(X44),t2tb(g_succ1(X43))) => (((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43) => (mem(vertex,t2tb2(X44),t2tb(X26)) | mem(vertex,t2tb2(X44),t2tb(X41))))))))))))))))))))))), 39.42/5.42 inference(true_and_false_elimination,[],[f92])). 39.42/5.42 tff(f92,plain,( 39.42/5.42 ~! [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : ((mem(vertex,t2tb2(X0),t2tb(v1)) & mem(vertex,t2tb2(X1),t2tb(v1))) => ! [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : ((tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3 & ! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5))) => ! [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : ((inv_src1(X0,X9,X7) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & subset(vertex,t2tb(X9),t2tb(v1)) & subset(vertex,t2tb(X7),t2tb(v1)) & ! [X10 : vertex1] : (mem(vertex,t2tb2(X10),t2tb(X7)) => (mem(vertex,t2tb2(X10),t2tb(X9)) => $false)) & ! [X11 : vertex1] : ((mem(vertex,t2tb2(X11),t2tb(X7)) & ! [X12 : vertex1] : (mem(vertex,t2tb2(X12),t2tb(X7)) => ~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))))) => ! [X13 : vertex1,X14 : $int] : (path1(X0,X13,X14) => ($less(X14,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) => mem(vertex,t2tb2(X13),t2tb(X9))))) & ! [X15 : vertex1] : (mem(vertex,t2tb2(X15),t2tb(X9)) => ! [X16 : vertex1] : (mem(vertex,t2tb2(X16),t2tb(g_succ1(X15))) => ((mem(vertex,t2tb2(X16),t2tb(X7)) | mem(vertex,t2tb2(X16),t2tb(X9))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),weight1(X15,X16)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X16))))))) & ! [X17 : vertex1] : (mem(vertex,t2tb2(X17),t2tb(X7)) => path1(X0,X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X17))))) & ! [X18 : vertex1] : (mem(vertex,t2tb2(X18),t2tb(X9)) => shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18)))))) => ! [X19 : bool1] : ((! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7)) <=> true1 = X19) => (true1 != X19 => (~! [X21 : vertex1] : ~mem(vertex,t2tb2(X21),t2tb(X7)) => ! [X22 : set_vertex,X23 : vertex1] : ((mem(vertex,t2tb2(X23),t2tb(X7)) & tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (mem(vertex,t2tb2(X24),t2tb(X7)) => ~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))))) => ((! [X25 : $int] : (path1(X0,X23,X25) => ~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) => ! [X26 : set_vertex] : (tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26 => ! [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : ((subset(vertex,t2tb(X26),t2tb(v1)) & ! [X30 : vertex1] : (mem(vertex,t2tb2(X30),t2tb(X28)) => path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30))))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(X26)) => ! [X32 : vertex1] : (mem(vertex,t2tb2(X32),t2tb(g_succ1(X31))) => ((X23 != X31 | (~mem(vertex,t2tb2(X32),t2tb(X27)) & X23 = X31)) => (~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X26)) | mem(vertex,t2tb2(X32),t2tb(X28))))))) & ! [X33 : vertex1] : (mem(vertex,t2tb2(X33),t2tb(X26)) => shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33))))) & ! [X34 : vertex1] : (mem(vertex,t2tb2(X34),t2tb(X28)) => (mem(vertex,t2tb2(X34),t2tb(X26)) => $false)) & subset(vertex,t2tb(X28),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & inv_src1(X0,X26,X28) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(X27)) => mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))))) => ! [X36 : bool1] : ((~! [X37 : vertex1] : ~mem(vertex,t2tb2(X37),t2tb(X27)) <=> true1 = X36) => (true1 = X36 => (~! [X38 : vertex1] : ~mem(vertex,t2tb2(X38),t2tb(X27)) => ! [X39 : set_vertex,X40 : vertex1] : ((mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39) => ! [X41 : set_vertex,X42 : map_vertex_int] : (((mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42) | (mem(vertex,t2tb2(X40),t2tb(X41)) & X29 = X42 & X28 = X41 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & ~mem(vertex,t2tb2(X40),t2tb(X26))) | (mem(vertex,t2tb2(X40),t2tb(X41)) & X28 = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40)))))) => (($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)))) => ! [X43 : vertex1] : (mem(vertex,t2tb2(X43),t2tb(X26)) => ! [X44 : vertex1] : (mem(vertex,t2tb2(X44),t2tb(g_succ1(X43))) => (((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43) => (mem(vertex,t2tb2(X44),t2tb(X26)) | mem(vertex,t2tb2(X44),t2tb(X41))))))))))))))))))))))), 39.42/5.42 inference(rectify,[],[f80])). 39.42/5.42 tff(f80,plain,( 39.42/5.42 ~! [X6 : vertex1,X27 : vertex1,X8 : map_vertex_int] : ((mem(vertex,t2tb2(X6),t2tb(v1)) & mem(vertex,t2tb2(X27),t2tb(v1))) => ! [X11 : set_vertex,X28 : map_vertex_int,X29 : set_vertex] : ((tb2t1(set1(int,vertex,t2tb1(X8),t2tb2(X6),t2tb3(0))) = X28 & tb2t(add(vertex,t2tb2(X6),empty(vertex))) = X11 & ! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X29))) => ! [X30 : set_vertex,X31 : map_vertex_int,X32 : set_vertex] : ((inv_src1(X6,X32,X30) & 0 = tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X6))) & subset(vertex,t2tb(X32),t2tb(v1)) & subset(vertex,t2tb(X30),t2tb(v1)) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X30)) => (mem(vertex,t2tb2(X7),t2tb(X32)) => $false)) & ! [X20 : vertex1] : ((mem(vertex,t2tb2(X20),t2tb(X30)) & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X30)) => ~$less(tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X3))),tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X20)))))) => ! [X3 : vertex1,X33 : $int] : (path1(X6,X3,X33) => ($less(X33,tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X20)))) => mem(vertex,t2tb2(X3),t2tb(X32))))) & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X32)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X3))) => ((mem(vertex,t2tb2(X14),t2tb(X30)) | mem(vertex,t2tb2(X14),t2tb(X32))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X3))),weight1(X3,X14)),tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X14))))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X30)) => path1(X6,X7,tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X7))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X32)) => shortest_path1(X6,X7,tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X7)))))) => ! [X34 : bool1] : ((! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X30)) <=> true1 = X34) => (true1 != X34 => (~! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X30)) => ! [X35 : set_vertex,X12 : vertex1] : ((mem(vertex,t2tb2(X12),t2tb(X30)) & tb2t(remove(vertex,t2tb2(X12),t2tb(X30))) = X35 & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X30)) => ~$less(tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X3))),tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X12)))))) => ((! [X10 : $int] : (path1(X6,X12,X10) => ~$less(X10,tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X12))))) & path1(X6,X12,tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X12))))) => ! [X36 : set_vertex] : (tb2t(add(vertex,t2tb2(X12),t2tb(X32))) = X36 => ! [X13 : set_vertex,X37 : set_vertex,X38 : map_vertex_int] : ((subset(vertex,t2tb(X36),t2tb(v1)) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => path1(X6,X7,tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X7))))) & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X36)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X3))) => ((X3 != X12 | (~mem(vertex,t2tb2(X14),t2tb(X13)) & X3 = X12)) => (~$less($sum(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X3))),weight1(X3,X14)),tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X14)))) & (mem(vertex,t2tb2(X14),t2tb(X36)) | mem(vertex,t2tb2(X14),t2tb(X37))))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X36)) => shortest_path1(X6,X7,tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X7))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => (mem(vertex,t2tb2(X7),t2tb(X36)) => $false)) & subset(vertex,t2tb(X37),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X6))) & inv_src1(X6,X36,X37) & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X13)) => mem(vertex,t2tb2(X3),t2tb(g_succ1(X12))))) => ! [X39 : bool1] : ((~! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X13)) <=> true1 = X39) => (true1 = X39 => (~! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X13)) => ! [X40 : set_vertex,X7 : vertex1] : ((mem(vertex,t2tb2(X7),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X7),t2tb(X13))) = X40) => ! [X41 : set_vertex,X42 : map_vertex_int] : (((mem(vertex,t2tb2(X7),t2tb(X36)) & X37 = X41 & X38 = X42) | (mem(vertex,t2tb2(X7),t2tb(X41)) & X38 = X42 & X37 = X41 & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X12))),weight1(X12,X7)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X7))))) | (~mem(vertex,t2tb2(X7),t2tb(X37)) & tb2t(add(vertex,t2tb2(X7),t2tb(X37))) = X41 & tb2t1(set1(int,vertex,t2tb1(X38),t2tb2(X7),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X12))),weight1(X12,X7))))) = X42 & ~mem(vertex,t2tb2(X7),t2tb(X36))) | (mem(vertex,t2tb2(X7),t2tb(X41)) & X37 = X41 & tb2t1(set1(int,vertex,t2tb1(X38),t2tb2(X7),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X12))),weight1(X12,X7))))) = X42 & $less($sum(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X12))),weight1(X12,X7)),tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X7)))))) => ((tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X7))) = $sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X12))),weight1(X12,X7)) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X7))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X12))),weight1(X12,X7)))) => ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X36)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X3))) => (((~mem(vertex,t2tb2(X14),t2tb(X40)) & X3 = X12) | X3 != X12) => (mem(vertex,t2tb2(X14),t2tb(X36)) | mem(vertex,t2tb2(X14),t2tb(X41))))))))))))))))))))))), 39.42/5.42 inference(theory_normalization,[],[f70])). 39.42/5.42 tff(f70,negated_conjecture,( 39.42/5.42 ~! [X6 : vertex1,X27 : vertex1,X8 : map_vertex_int] : ((mem(vertex,t2tb2(X6),t2tb(v1)) & mem(vertex,t2tb2(X27),t2tb(v1))) => ! [X11 : set_vertex,X28 : map_vertex_int,X29 : set_vertex] : ((tb2t1(set1(int,vertex,t2tb1(X8),t2tb2(X6),t2tb3(0))) = X28 & tb2t(add(vertex,t2tb2(X6),empty(vertex))) = X11 & ! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X29))) => ! [X30 : set_vertex,X31 : map_vertex_int,X32 : set_vertex] : ((inv_src1(X6,X32,X30) & 0 = tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X6))) & subset(vertex,t2tb(X32),t2tb(v1)) & subset(vertex,t2tb(X30),t2tb(v1)) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X30)) => (mem(vertex,t2tb2(X7),t2tb(X32)) => $false)) & ! [X20 : vertex1] : ((mem(vertex,t2tb2(X20),t2tb(X30)) & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X30)) => $lesseq(tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X20))),tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X3)))))) => ! [X3 : vertex1,X33 : $int] : (path1(X6,X3,X33) => ($less(X33,tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X20)))) => mem(vertex,t2tb2(X3),t2tb(X32))))) & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X32)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X3))) => ((mem(vertex,t2tb2(X14),t2tb(X30)) | mem(vertex,t2tb2(X14),t2tb(X32))) & $lesseq(tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X14))),$sum(tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X3))),weight1(X3,X14)))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X30)) => path1(X6,X7,tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X7))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X32)) => shortest_path1(X6,X7,tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X7)))))) => ! [X34 : bool1] : ((! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X30)) <=> true1 = X34) => (true1 != X34 => (~! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X30)) => ! [X35 : set_vertex,X12 : vertex1] : ((mem(vertex,t2tb2(X12),t2tb(X30)) & tb2t(remove(vertex,t2tb2(X12),t2tb(X30))) = X35 & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X30)) => $lesseq(tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X12))),tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X3)))))) => ((! [X10 : $int] : (path1(X6,X12,X10) => $lesseq(tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X12))),X10)) & path1(X6,X12,tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X12))))) => ! [X36 : set_vertex] : (tb2t(add(vertex,t2tb2(X12),t2tb(X32))) = X36 => ! [X13 : set_vertex,X37 : set_vertex,X38 : map_vertex_int] : ((subset(vertex,t2tb(X36),t2tb(v1)) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => path1(X6,X7,tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X7))))) & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X36)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X3))) => ((X3 != X12 | (~mem(vertex,t2tb2(X14),t2tb(X13)) & X3 = X12)) => ($lesseq(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X14))),$sum(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X3))),weight1(X3,X14))) & (mem(vertex,t2tb2(X14),t2tb(X36)) | mem(vertex,t2tb2(X14),t2tb(X37))))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X36)) => shortest_path1(X6,X7,tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X7))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => (mem(vertex,t2tb2(X7),t2tb(X36)) => $false)) & subset(vertex,t2tb(X37),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X6))) & inv_src1(X6,X36,X37) & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X13)) => mem(vertex,t2tb2(X3),t2tb(g_succ1(X12))))) => ! [X39 : bool1] : ((~! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X13)) <=> true1 = X39) => (true1 = X39 => (~! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X13)) => ! [X40 : set_vertex,X7 : vertex1] : ((mem(vertex,t2tb2(X7),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X7),t2tb(X13))) = X40) => ! [X41 : set_vertex,X42 : map_vertex_int] : (((mem(vertex,t2tb2(X7),t2tb(X36)) & X37 = X41 & X38 = X42) | (mem(vertex,t2tb2(X7),t2tb(X41)) & X38 = X42 & X37 = X41 & $lesseq(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X7))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X12))),weight1(X12,X7)))) | (~mem(vertex,t2tb2(X7),t2tb(X37)) & tb2t(add(vertex,t2tb2(X7),t2tb(X37))) = X41 & tb2t1(set1(int,vertex,t2tb1(X38),t2tb2(X7),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X12))),weight1(X12,X7))))) = X42 & ~mem(vertex,t2tb2(X7),t2tb(X36))) | (mem(vertex,t2tb2(X7),t2tb(X41)) & X37 = X41 & tb2t1(set1(int,vertex,t2tb1(X38),t2tb2(X7),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X12))),weight1(X12,X7))))) = X42 & $less($sum(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X12))),weight1(X12,X7)),tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X7)))))) => ((tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X7))) = $sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X12))),weight1(X12,X7)) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X7))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X12))),weight1(X12,X7)))) => ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X36)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X3))) => (((~mem(vertex,t2tb2(X14),t2tb(X40)) & X3 = X12) | X3 != X12) => (mem(vertex,t2tb2(X14),t2tb(X36)) | mem(vertex,t2tb2(X14),t2tb(X41))))))))))))))))))))))), 39.42/5.42 inference(negated_conjecture,[],[f69])). 39.42/5.42 tff(f69,conjecture,( 39.42/5.42 ! [X6 : vertex1,X27 : vertex1,X8 : map_vertex_int] : ((mem(vertex,t2tb2(X6),t2tb(v1)) & mem(vertex,t2tb2(X27),t2tb(v1))) => ! [X11 : set_vertex,X28 : map_vertex_int,X29 : set_vertex] : ((tb2t1(set1(int,vertex,t2tb1(X8),t2tb2(X6),t2tb3(0))) = X28 & tb2t(add(vertex,t2tb2(X6),empty(vertex))) = X11 & ! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X29))) => ! [X30 : set_vertex,X31 : map_vertex_int,X32 : set_vertex] : ((inv_src1(X6,X32,X30) & 0 = tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X6))) & subset(vertex,t2tb(X32),t2tb(v1)) & subset(vertex,t2tb(X30),t2tb(v1)) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X30)) => (mem(vertex,t2tb2(X7),t2tb(X32)) => $false)) & ! [X20 : vertex1] : ((mem(vertex,t2tb2(X20),t2tb(X30)) & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X30)) => $lesseq(tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X20))),tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X3)))))) => ! [X3 : vertex1,X33 : $int] : (path1(X6,X3,X33) => ($less(X33,tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X20)))) => mem(vertex,t2tb2(X3),t2tb(X32))))) & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X32)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X3))) => ((mem(vertex,t2tb2(X14),t2tb(X30)) | mem(vertex,t2tb2(X14),t2tb(X32))) & $lesseq(tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X14))),$sum(tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X3))),weight1(X3,X14)))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X30)) => path1(X6,X7,tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X7))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X32)) => shortest_path1(X6,X7,tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X7)))))) => ! [X34 : bool1] : ((! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X30)) <=> true1 = X34) => (true1 != X34 => (~! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X30)) => ! [X35 : set_vertex,X12 : vertex1] : ((mem(vertex,t2tb2(X12),t2tb(X30)) & tb2t(remove(vertex,t2tb2(X12),t2tb(X30))) = X35 & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X30)) => $lesseq(tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X12))),tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X3)))))) => ((! [X10 : $int] : (path1(X6,X12,X10) => $lesseq(tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X12))),X10)) & path1(X6,X12,tb2t3(get(int,vertex,t2tb1(X31),t2tb2(X12))))) => ! [X36 : set_vertex] : (tb2t(add(vertex,t2tb2(X12),t2tb(X32))) = X36 => ! [X13 : set_vertex,X37 : set_vertex,X38 : map_vertex_int] : ((subset(vertex,t2tb(X36),t2tb(v1)) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => path1(X6,X7,tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X7))))) & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X36)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X3))) => ((X3 != X12 | (~mem(vertex,t2tb2(X14),t2tb(X13)) & X3 = X12)) => ($lesseq(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X14))),$sum(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X3))),weight1(X3,X14))) & (mem(vertex,t2tb2(X14),t2tb(X36)) | mem(vertex,t2tb2(X14),t2tb(X37))))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X36)) => shortest_path1(X6,X7,tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X7))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => (mem(vertex,t2tb2(X7),t2tb(X36)) => $false)) & subset(vertex,t2tb(X37),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X6))) & inv_src1(X6,X36,X37) & ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X13)) => mem(vertex,t2tb2(X3),t2tb(g_succ1(X12))))) => ! [X39 : bool1] : ((~! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X13)) <=> true1 = X39) => (true1 = X39 => (~! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(X13)) => ! [X40 : set_vertex,X7 : vertex1] : ((mem(vertex,t2tb2(X7),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X7),t2tb(X13))) = X40) => ! [X41 : set_vertex,X42 : map_vertex_int] : (((mem(vertex,t2tb2(X7),t2tb(X36)) & X37 = X41 & X38 = X42) | (mem(vertex,t2tb2(X7),t2tb(X41)) & X38 = X42 & X37 = X41 & $lesseq(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X7))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X12))),weight1(X12,X7)))) | (~mem(vertex,t2tb2(X7),t2tb(X37)) & tb2t(add(vertex,t2tb2(X7),t2tb(X37))) = X41 & tb2t1(set1(int,vertex,t2tb1(X38),t2tb2(X7),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X12))),weight1(X12,X7))))) = X42 & ~mem(vertex,t2tb2(X7),t2tb(X36))) | (mem(vertex,t2tb2(X7),t2tb(X41)) & X37 = X41 & tb2t1(set1(int,vertex,t2tb1(X38),t2tb2(X7),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X12))),weight1(X12,X7))))) = X42 & $less($sum(tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X12))),weight1(X12,X7)),tb2t3(get(int,vertex,t2tb1(X38),t2tb2(X7)))))) => ((tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X7))) = $sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X12))),weight1(X12,X7)) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X7))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X12))),weight1(X12,X7)))) => ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X36)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X3))) => (((~mem(vertex,t2tb2(X14),t2tb(X40)) & X3 = X12) | X3 != X12) => (mem(vertex,t2tb2(X14),t2tb(X36)) | mem(vertex,t2tb2(X14),t2tb(X41))))))))))))))))))))))), 39.42/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_shortest_path_code)). 39.42/5.42 tff(f12577,plain,( 39.42/5.42 ~spl43_627 | ~spl43_74 | spl43_158), 39.42/5.42 inference(avatar_split_clause,[],[f12572,f2248,f1172,f12574])). 39.42/5.42 tff(f12574,plain,( 39.42/5.42 spl43_627 <=> t2tb(sK15) = add(vertex,t2tb2(sK19),t2tb(sK15))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_627])])). 39.42/5.42 tff(f2248,plain,( 39.42/5.42 spl43_158 <=> add(vertex,t2tb2(sK19),t2tb(sK15)) = t2tb(sK20)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_158])])). 39.42/5.42 tff(f12572,plain,( 39.42/5.42 t2tb(sK15) != add(vertex,t2tb2(sK19),t2tb(sK15)) | (~spl43_74 | spl43_158)), 39.42/5.42 inference(forward_demodulation,[],[f2249,f1174])). 39.42/5.42 tff(f2249,plain,( 39.42/5.42 add(vertex,t2tb2(sK19),t2tb(sK15)) != t2tb(sK20) | spl43_158), 39.42/5.42 inference(avatar_component_clause,[],[f2248])). 39.42/5.42 tff(f12570,plain,( 39.42/5.42 ~spl43_515 | ~spl43_74 | spl43_513 | ~spl43_604), 39.42/5.42 inference(avatar_split_clause,[],[f12456,f12347,f9755,f1172,f9855])). 39.42/5.42 tff(f9855,plain,( 39.42/5.42 spl43_515 <=> inv_src1(sK19,g_succ1(sK30(g_succ1(sK12))),sK15)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_515])])). 39.42/5.42 tff(f9755,plain,( 39.42/5.42 spl43_513 <=> inv_src1(sK23,g_succ1(sK30(g_succ1(sK12))),sK20)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_513])])). 39.42/5.42 tff(f12347,plain,( 39.42/5.42 spl43_604 <=> sK19 = sK23), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_604])])). 39.42/5.42 tff(f12456,plain,( 39.42/5.42 ~inv_src1(sK19,g_succ1(sK30(g_succ1(sK12))),sK15) | (~spl43_74 | spl43_513 | ~spl43_604)), 39.42/5.42 inference(forward_demodulation,[],[f12455,f12349])). 39.42/5.42 tff(f12349,plain,( 39.42/5.42 sK19 = sK23 | ~spl43_604), 39.42/5.42 inference(avatar_component_clause,[],[f12347])). 39.42/5.42 tff(f12455,plain,( 39.42/5.42 ~inv_src1(sK23,g_succ1(sK30(g_succ1(sK12))),sK15) | (~spl43_74 | spl43_513)), 39.42/5.42 inference(forward_demodulation,[],[f9757,f1174])). 39.42/5.42 tff(f9757,plain,( 39.42/5.42 ~inv_src1(sK23,g_succ1(sK30(g_succ1(sK12))),sK20) | spl43_513), 39.42/5.42 inference(avatar_component_clause,[],[f9755])). 39.42/5.42 tff(f12569,plain,( 39.42/5.42 ~spl43_626 | spl43_511 | ~spl43_587), 39.42/5.42 inference(avatar_split_clause,[],[f12328,f11828,f9663,f12566])). 39.42/5.42 tff(f12566,plain,( 39.42/5.42 spl43_626 <=> inv_src1(sK19,g_succ1(sK30(g_succ1(sK12))),sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_626])])). 39.42/5.42 tff(f9663,plain,( 39.42/5.42 spl43_511 <=> inv_src1(sK23,g_succ1(sK30(g_succ1(sK12))),sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_511])])). 39.42/5.42 tff(f11828,plain,( 39.42/5.42 spl43_587 <=> t2tb2(sK19) = t2tb2(sK23)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_587])])). 39.42/5.42 tff(f12328,plain,( 39.42/5.42 ~inv_src1(sK19,g_succ1(sK30(g_succ1(sK12))),sK13) | (spl43_511 | ~spl43_587)), 39.42/5.42 inference(backward_demodulation,[],[f9665,f12258])). 39.42/5.42 tff(f12258,plain,( 39.42/5.42 sK19 = sK23 | ~spl43_587), 39.42/5.42 inference(forward_demodulation,[],[f12122,f384])). 39.42/5.42 tff(f384,plain,( 39.42/5.42 ( ! [X0 : vertex1] : (tb2t2(t2tb2(X0)) = X0) )), 39.42/5.42 inference(cnf_transformation,[],[f99])). 39.42/5.42 tff(f99,plain,( 39.42/5.42 ! [X0 : vertex1] : tb2t2(t2tb2(X0)) = X0), 39.42/5.42 inference(rectify,[],[f67])). 39.42/5.42 tff(f67,axiom,( 39.42/5.42 ! [X15 : vertex1] : tb2t2(t2tb2(X15)) = X15), 39.42/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL2)). 39.42/5.42 tff(f12122,plain,( 39.42/5.42 sK23 = tb2t2(t2tb2(sK19)) | ~spl43_587), 39.42/5.42 inference(superposition,[],[f384,f11830])). 39.42/5.42 tff(f11830,plain,( 39.42/5.42 t2tb2(sK19) = t2tb2(sK23) | ~spl43_587), 39.42/5.42 inference(avatar_component_clause,[],[f11828])). 39.42/5.42 tff(f9665,plain,( 39.42/5.42 ~inv_src1(sK23,g_succ1(sK30(g_succ1(sK12))),sK13) | spl43_511), 39.42/5.42 inference(avatar_component_clause,[],[f9663])). 39.42/5.42 tff(f12564,plain,( 39.42/5.42 ~spl43_624 | spl43_44 | ~spl43_46 | ~spl43_74), 39.42/5.42 inference(avatar_split_clause,[],[f12551,f1172,f956,f948,f12555])). 39.42/5.42 tff(f948,plain,( 39.42/5.42 spl43_44 <=> sP0(sK20,sK19,sK15,sK21,sK12,sK16)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_44])])). 39.42/5.42 tff(f12551,plain,( 39.42/5.42 ~sP0(sK15,sK19,sK15,sK16,sK12,sK16) | (spl43_44 | ~spl43_46 | ~spl43_74)), 39.42/5.42 inference(forward_demodulation,[],[f12525,f958])). 39.42/5.42 tff(f12525,plain,( 39.42/5.42 ~sP0(sK15,sK19,sK15,sK21,sK12,sK16) | (spl43_44 | ~spl43_74)), 39.42/5.42 inference(forward_demodulation,[],[f949,f1174])). 39.42/5.42 tff(f949,plain,( 39.42/5.42 ~sP0(sK20,sK19,sK15,sK21,sK12,sK16) | spl43_44), 39.42/5.42 inference(avatar_component_clause,[],[f948])). 39.42/5.42 tff(f12563,plain,( 39.42/5.42 ~spl43_625 | spl43_559 | ~spl43_587), 39.42/5.42 inference(avatar_split_clause,[],[f12331,f11828,f11219,f12560])). 39.42/5.42 tff(f12560,plain,( 39.42/5.42 spl43_625 <=> inv_src1(sK19,g_succ1(sK30(sK13)),sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_625])])). 39.42/5.42 tff(f11219,plain,( 39.42/5.42 spl43_559 <=> inv_src1(sK23,g_succ1(sK30(sK13)),sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_559])])). 39.42/5.42 tff(f12331,plain,( 39.42/5.42 ~inv_src1(sK19,g_succ1(sK30(sK13)),sK13) | (spl43_559 | ~spl43_587)), 39.42/5.42 inference(backward_demodulation,[],[f11221,f12258])). 39.42/5.42 tff(f11221,plain,( 39.42/5.42 ~inv_src1(sK23,g_succ1(sK30(sK13)),sK13) | spl43_559), 39.42/5.42 inference(avatar_component_clause,[],[f11219])). 39.42/5.42 tff(f12558,plain,( 39.42/5.42 ~spl43_624 | ~spl43_46 | spl43_606), 39.42/5.42 inference(avatar_split_clause,[],[f12534,f12357,f956,f12555])). 39.42/5.42 tff(f12357,plain,( 39.42/5.42 spl43_606 <=> sP0(sK15,sK19,sK15,sK21,sK12,sK16)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_606])])). 39.42/5.42 tff(f12534,plain,( 39.42/5.42 ~sP0(sK15,sK19,sK15,sK16,sK12,sK16) | (~spl43_46 | spl43_606)), 39.42/5.42 inference(forward_demodulation,[],[f12358,f958])). 39.42/5.42 tff(f12358,plain,( 39.42/5.42 ~sP0(sK15,sK19,sK15,sK21,sK12,sK16) | spl43_606), 39.42/5.42 inference(avatar_component_clause,[],[f12357])). 39.42/5.42 tff(f12553,plain,( 39.42/5.42 ~spl43_475 | ~spl43_74 | spl43_449 | ~spl43_604), 39.42/5.42 inference(avatar_split_clause,[],[f12462,f12347,f7907,f1172,f8347])). 39.42/5.42 tff(f8347,plain,( 39.42/5.42 spl43_475 <=> inv_src1(sK19,g_succ1(sK29(sK7)),sK15)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_475])])). 39.42/5.42 tff(f7907,plain,( 39.42/5.42 spl43_449 <=> inv_src1(sK23,g_succ1(sK29(sK7)),sK20)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_449])])). 39.42/5.42 tff(f12462,plain,( 39.42/5.42 ~inv_src1(sK19,g_succ1(sK29(sK7)),sK15) | (~spl43_74 | spl43_449 | ~spl43_604)), 39.42/5.42 inference(forward_demodulation,[],[f12461,f12349])). 39.42/5.42 tff(f12461,plain,( 39.42/5.42 ~inv_src1(sK23,g_succ1(sK29(sK7)),sK15) | (~spl43_74 | spl43_449)), 39.42/5.42 inference(forward_demodulation,[],[f7909,f1174])). 39.42/5.42 tff(f7909,plain,( 39.42/5.42 ~inv_src1(sK23,g_succ1(sK29(sK7)),sK20) | spl43_449), 39.42/5.42 inference(avatar_component_clause,[],[f7907])). 39.42/5.42 tff(f12552,plain,( 39.42/5.42 ~spl43_479 | ~spl43_74 | spl43_452 | ~spl43_604), 39.42/5.42 inference(avatar_split_clause,[],[f12460,f12347,f7989,f1172,f8430])). 39.42/5.42 tff(f8430,plain,( 39.42/5.42 spl43_479 <=> inv_src1(sK19,g_succ1(sK29(sK13)),sK15)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_479])])). 39.42/5.42 tff(f7989,plain,( 39.42/5.42 spl43_452 <=> inv_src1(sK23,g_succ1(sK29(sK13)),sK20)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_452])])). 39.42/5.42 tff(f12460,plain,( 39.42/5.42 ~inv_src1(sK19,g_succ1(sK29(sK13)),sK15) | (~spl43_74 | spl43_452 | ~spl43_604)), 39.42/5.42 inference(forward_demodulation,[],[f12459,f12349])). 39.42/5.42 tff(f12459,plain,( 39.42/5.42 ~inv_src1(sK23,g_succ1(sK29(sK13)),sK15) | (~spl43_74 | spl43_452)), 39.42/5.42 inference(forward_demodulation,[],[f7991,f1174])). 39.42/5.42 tff(f7991,plain,( 39.42/5.42 ~inv_src1(sK23,g_succ1(sK29(sK13)),sK20) | spl43_452), 39.42/5.42 inference(avatar_component_clause,[],[f7989])). 39.42/5.42 tff(f12550,plain,( 39.42/5.42 ~spl43_537 | ~spl43_74 | spl43_526 | ~spl43_604), 39.42/5.42 inference(avatar_split_clause,[],[f12454,f12347,f10275,f1172,f10558])). 39.42/5.42 tff(f10558,plain,( 39.42/5.42 spl43_537 <=> inv_src1(sK19,g_succ1(sK30(sK15)),sK15)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_537])])). 39.42/5.42 tff(f10275,plain,( 39.42/5.42 spl43_526 <=> inv_src1(sK23,g_succ1(sK30(sK15)),sK20)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_526])])). 39.42/5.42 tff(f12454,plain,( 39.42/5.42 ~inv_src1(sK19,g_succ1(sK30(sK15)),sK15) | (~spl43_74 | spl43_526 | ~spl43_604)), 39.42/5.42 inference(forward_demodulation,[],[f12453,f12349])). 39.42/5.42 tff(f12453,plain,( 39.42/5.42 ~inv_src1(sK23,g_succ1(sK30(sK15)),sK15) | (~spl43_74 | spl43_526)), 39.42/5.42 inference(forward_demodulation,[],[f10277,f1174])). 39.42/5.42 tff(f10277,plain,( 39.42/5.42 ~inv_src1(sK23,g_succ1(sK30(sK15)),sK20) | spl43_526), 39.42/5.42 inference(avatar_component_clause,[],[f10275])). 39.42/5.42 tff(f12549,plain,( 39.42/5.42 ~spl43_623 | spl43_524 | ~spl43_587), 39.42/5.42 inference(avatar_split_clause,[],[f12329,f11828,f10266,f12546])). 39.42/5.42 tff(f12546,plain,( 39.42/5.42 spl43_623 <=> inv_src1(sK19,g_succ1(sK30(sK15)),sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_623])])). 39.42/5.42 tff(f10266,plain,( 39.42/5.42 spl43_524 <=> inv_src1(sK23,g_succ1(sK30(sK15)),sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_524])])). 39.42/5.42 tff(f12329,plain,( 39.42/5.42 ~inv_src1(sK19,g_succ1(sK30(sK15)),sK13) | (spl43_524 | ~spl43_587)), 39.42/5.42 inference(backward_demodulation,[],[f10268,f12258])). 39.42/5.42 tff(f10268,plain,( 39.42/5.42 ~inv_src1(sK23,g_succ1(sK30(sK15)),sK13) | spl43_524), 39.42/5.42 inference(avatar_component_clause,[],[f10266])). 39.42/5.42 tff(f12544,plain,( 39.42/5.42 ~spl43_622 | spl43_450 | ~spl43_587), 39.42/5.42 inference(avatar_split_clause,[],[f12327,f11828,f7973,f12541])). 39.42/5.42 tff(f12541,plain,( 39.42/5.42 spl43_622 <=> inv_src1(sK19,g_succ1(sK29(sK13)),sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_622])])). 39.42/5.42 tff(f7973,plain,( 39.42/5.42 spl43_450 <=> inv_src1(sK23,g_succ1(sK29(sK13)),sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_450])])). 39.42/5.42 tff(f12327,plain,( 39.42/5.42 ~inv_src1(sK19,g_succ1(sK29(sK13)),sK13) | (spl43_450 | ~spl43_587)), 39.42/5.42 inference(backward_demodulation,[],[f7975,f12258])). 39.42/5.42 tff(f7975,plain,( 39.42/5.42 ~inv_src1(sK23,g_succ1(sK29(sK13)),sK13) | spl43_450), 39.42/5.42 inference(avatar_component_clause,[],[f7973])). 39.42/5.42 tff(f12539,plain,( 39.42/5.42 ~spl43_621 | spl43_447 | ~spl43_587), 39.42/5.42 inference(avatar_split_clause,[],[f12326,f11828,f7898,f12536])). 39.42/5.42 tff(f12536,plain,( 39.42/5.42 spl43_621 <=> inv_src1(sK19,g_succ1(sK29(sK7)),sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_621])])). 39.42/5.42 tff(f7898,plain,( 39.42/5.42 spl43_447 <=> inv_src1(sK23,g_succ1(sK29(sK7)),sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_447])])). 39.42/5.42 tff(f12326,plain,( 39.42/5.42 ~inv_src1(sK19,g_succ1(sK29(sK7)),sK13) | (spl43_447 | ~spl43_587)), 39.42/5.42 inference(backward_demodulation,[],[f7900,f12258])). 39.42/5.42 tff(f7900,plain,( 39.42/5.42 ~inv_src1(sK23,g_succ1(sK29(sK7)),sK13) | spl43_447), 39.42/5.42 inference(avatar_component_clause,[],[f7898])). 39.42/5.42 tff(f12531,plain,( 39.42/5.42 spl43_87 | ~spl43_80 | ~spl43_587), 39.42/5.42 inference(avatar_split_clause,[],[f12103,f11828,f1224,f1263])). 39.42/5.42 tff(f1263,plain,( 39.42/5.42 spl43_87 <=> mem(vertex,t2tb2(sK19),t2tb(v1))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_87])])). 39.42/5.42 tff(f1224,plain,( 39.42/5.42 spl43_80 <=> mem(vertex,t2tb2(sK23),t2tb(v1))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_80])])). 39.42/5.42 tff(f12103,plain,( 39.42/5.42 mem(vertex,t2tb2(sK19),t2tb(v1)) | (~spl43_80 | ~spl43_587)), 39.42/5.42 inference(backward_demodulation,[],[f1226,f11830])). 39.42/5.42 tff(f1226,plain,( 39.42/5.42 mem(vertex,t2tb2(sK23),t2tb(v1)) | ~spl43_80), 39.42/5.42 inference(avatar_component_clause,[],[f1224])). 39.42/5.42 tff(f12447,plain,( 39.42/5.42 spl43_48 | ~spl43_606), 39.42/5.42 inference(avatar_split_clause,[],[f12387,f12357,f968])). 39.42/5.42 tff(f12387,plain,( 39.42/5.42 mem(vertex,t2tb2(sK19),t2tb(sK15)) | ~spl43_606), 39.42/5.42 inference(resolution,[],[f12359,f277])). 39.42/5.42 tff(f277,plain,( 39.42/5.42 ( ! [X2 : set_vertex,X3 : map_vertex_int,X0 : set_vertex,X1 : vertex1,X4 : vertex1,X5 : map_vertex_int] : (~sP0(X0,X1,X2,X3,X4,X5) | mem(vertex,t2tb2(X1),t2tb(X0))) )), 39.42/5.42 inference(cnf_transformation,[],[f220])). 39.42/5.42 tff(f220,plain,( 39.42/5.42 ! [X0 : set_vertex,X1 : vertex1,X2 : set_vertex,X3 : map_vertex_int,X4 : vertex1,X5 : map_vertex_int] : ((mem(vertex,t2tb2(X1),t2tb(X0)) & X0 = X2 & tb2t1(set1(int,vertex,t2tb1(X5),t2tb2(X1),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X5),t2tb2(X4))),weight1(X4,X1))))) = X3 & $less($sum(tb2t3(get(int,vertex,t2tb1(X5),t2tb2(X4))),weight1(X4,X1)),tb2t3(get(int,vertex,t2tb1(X5),t2tb2(X1))))) | ~sP0(X0,X1,X2,X3,X4,X5))), 39.42/5.42 inference(rectify,[],[f219])). 39.42/5.42 tff(f219,plain,( 39.42/5.42 ! [X41 : set_vertex,X40 : vertex1,X28 : set_vertex,X42 : map_vertex_int,X23 : vertex1,X29 : map_vertex_int] : ((mem(vertex,t2tb2(X40),t2tb(X41)) & X28 = X41 & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40))))) | ~sP0(X41,X40,X28,X42,X23,X29))), 39.42/5.42 inference(nnf_transformation,[],[f217])). 39.42/5.42 tff(f12359,plain,( 39.42/5.42 sP0(sK15,sK19,sK15,sK21,sK12,sK16) | ~spl43_606), 39.42/5.42 inference(avatar_component_clause,[],[f12357])). 39.42/5.42 tff(f12443,plain,( 39.42/5.42 ~spl43_620 | ~spl43_587 | spl43_594), 39.42/5.42 inference(avatar_split_clause,[],[f12337,f11898,f11828,f12440])). 39.42/5.42 tff(f12440,plain,( 39.42/5.42 spl43_620 <=> inv_src1(sK19,sK14,sK7)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_620])])). 39.42/5.42 tff(f11898,plain,( 39.42/5.42 spl43_594 <=> inv_src1(sK23,sK14,sK7)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_594])])). 39.42/5.42 tff(f12337,plain,( 39.42/5.42 ~inv_src1(sK19,sK14,sK7) | (~spl43_587 | spl43_594)), 39.42/5.42 inference(backward_demodulation,[],[f11900,f12258])). 39.42/5.42 tff(f11900,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK7) | spl43_594), 39.42/5.42 inference(avatar_component_clause,[],[f11898])). 39.42/5.42 tff(f12438,plain,( 39.42/5.42 ~spl43_619 | spl43_67 | ~spl43_74), 39.42/5.42 inference(avatar_split_clause,[],[f12433,f1172,f1137,f12435])). 39.42/5.42 tff(f1137,plain,( 39.42/5.42 spl43_67 <=> tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) = sK20), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_67])])). 39.42/5.42 tff(f12433,plain,( 39.42/5.42 sK15 != tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) | (spl43_67 | ~spl43_74)), 39.42/5.42 inference(forward_demodulation,[],[f1138,f1174])). 39.42/5.42 tff(f1138,plain,( 39.42/5.42 tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) != sK20 | spl43_67), 39.42/5.42 inference(avatar_component_clause,[],[f1137])). 39.42/5.42 tff(f12432,plain,( 39.42/5.42 ~spl43_618 | ~spl43_587 | spl43_603), 39.42/5.42 inference(avatar_split_clause,[],[f12345,f12090,f11828,f12429])). 39.42/5.42 tff(f12429,plain,( 39.42/5.42 spl43_618 <=> inv_src1(sK19,sK15,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_618])])). 39.42/5.42 tff(f12090,plain,( 39.42/5.42 spl43_603 <=> inv_src1(sK23,sK15,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_603])])). 39.42/5.42 tff(f12345,plain,( 39.42/5.42 ~inv_src1(sK19,sK15,sK14) | (~spl43_587 | spl43_603)), 39.42/5.42 inference(backward_demodulation,[],[f12092,f12258])). 39.42/5.42 tff(f12092,plain,( 39.42/5.42 ~inv_src1(sK23,sK15,sK14) | spl43_603), 39.42/5.42 inference(avatar_component_clause,[],[f12090])). 39.42/5.42 tff(f12427,plain,( 39.42/5.42 ~spl43_617 | ~spl43_587 | spl43_601), 39.42/5.42 inference(avatar_split_clause,[],[f12343,f12011,f11828,f12424])). 39.42/5.42 tff(f12424,plain,( 39.42/5.42 spl43_617 <=> inv_src1(sK19,sK6,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_617])])). 39.42/5.42 tff(f12011,plain,( 39.42/5.42 spl43_601 <=> inv_src1(sK23,sK6,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_601])])). 39.42/5.42 tff(f12343,plain,( 39.42/5.42 ~inv_src1(sK19,sK6,sK14) | (~spl43_587 | spl43_601)), 39.42/5.42 inference(backward_demodulation,[],[f12013,f12258])). 39.42/5.42 tff(f12013,plain,( 39.42/5.42 ~inv_src1(sK23,sK6,sK14) | spl43_601), 39.42/5.42 inference(avatar_component_clause,[],[f12011])). 39.42/5.42 tff(f12422,plain,( 39.42/5.42 ~spl43_616 | ~spl43_587 | spl43_599), 39.42/5.42 inference(avatar_split_clause,[],[f12342,f12001,f11828,f12419])). 39.42/5.42 tff(f12419,plain,( 39.42/5.42 spl43_616 <=> inv_src1(sK19,sK18,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_616])])). 39.42/5.42 tff(f12001,plain,( 39.42/5.42 spl43_599 <=> inv_src1(sK23,sK18,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_599])])). 39.42/5.42 tff(f12342,plain,( 39.42/5.42 ~inv_src1(sK19,sK18,sK14) | (~spl43_587 | spl43_599)), 39.42/5.42 inference(backward_demodulation,[],[f12003,f12258])). 39.42/5.42 tff(f12003,plain,( 39.42/5.42 ~inv_src1(sK23,sK18,sK14) | spl43_599), 39.42/5.42 inference(avatar_component_clause,[],[f12001])). 39.42/5.42 tff(f12407,plain,( 39.42/5.42 ~spl43_615 | ~spl43_587 | spl43_598), 39.42/5.42 inference(avatar_split_clause,[],[f12341,f11996,f11828,f12404])). 39.42/5.42 tff(f12404,plain,( 39.42/5.42 spl43_615 <=> inv_src1(sK19,sK14,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_615])])). 39.42/5.42 tff(f11996,plain,( 39.42/5.42 spl43_598 <=> inv_src1(sK23,sK14,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_598])])). 39.42/5.42 tff(f12341,plain,( 39.42/5.42 ~inv_src1(sK19,sK14,sK14) | (~spl43_587 | spl43_598)), 39.42/5.42 inference(backward_demodulation,[],[f11998,f12258])). 39.42/5.42 tff(f11998,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK14) | spl43_598), 39.42/5.42 inference(avatar_component_clause,[],[f11996])). 39.42/5.42 tff(f12402,plain,( 39.42/5.42 ~spl43_614 | ~spl43_587 | spl43_597), 39.42/5.42 inference(avatar_split_clause,[],[f12340,f11991,f11828,f12399])). 39.42/5.42 tff(f12399,plain,( 39.42/5.42 spl43_614 <=> inv_src1(sK19,sK13,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_614])])). 39.42/5.42 tff(f11991,plain,( 39.42/5.42 spl43_597 <=> inv_src1(sK23,sK13,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_597])])). 39.42/5.42 tff(f12340,plain,( 39.42/5.42 ~inv_src1(sK19,sK13,sK14) | (~spl43_587 | spl43_597)), 39.42/5.42 inference(backward_demodulation,[],[f11993,f12258])). 39.42/5.42 tff(f11993,plain,( 39.42/5.42 ~inv_src1(sK23,sK13,sK14) | spl43_597), 39.42/5.42 inference(avatar_component_clause,[],[f11991])). 39.42/5.42 tff(f12397,plain,( 39.42/5.42 ~spl43_613 | ~spl43_587 | spl43_596), 39.42/5.42 inference(avatar_split_clause,[],[f12339,f11986,f11828,f12394])). 39.42/5.42 tff(f12394,plain,( 39.42/5.42 spl43_613 <=> inv_src1(sK19,sK9,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_613])])). 39.42/5.42 tff(f11986,plain,( 39.42/5.42 spl43_596 <=> inv_src1(sK23,sK9,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_596])])). 39.42/5.42 tff(f12339,plain,( 39.42/5.42 ~inv_src1(sK19,sK9,sK14) | (~spl43_587 | spl43_596)), 39.42/5.42 inference(backward_demodulation,[],[f11988,f12258])). 39.42/5.42 tff(f11988,plain,( 39.42/5.42 ~inv_src1(sK23,sK9,sK14) | spl43_596), 39.42/5.42 inference(avatar_component_clause,[],[f11986])). 39.42/5.42 tff(f12392,plain,( 39.42/5.42 ~spl43_612 | ~spl43_587 | spl43_595), 39.42/5.42 inference(avatar_split_clause,[],[f12338,f11981,f11828,f12389])). 39.42/5.42 tff(f12389,plain,( 39.42/5.42 spl43_612 <=> inv_src1(sK19,sK7,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_612])])). 39.42/5.42 tff(f11981,plain,( 39.42/5.42 spl43_595 <=> inv_src1(sK23,sK7,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_595])])). 39.42/5.42 tff(f12338,plain,( 39.42/5.42 ~inv_src1(sK19,sK7,sK14) | (~spl43_587 | spl43_595)), 39.42/5.42 inference(backward_demodulation,[],[f11983,f12258])). 39.42/5.42 tff(f11983,plain,( 39.42/5.42 ~inv_src1(sK23,sK7,sK14) | spl43_595), 39.42/5.42 inference(avatar_component_clause,[],[f11981])). 39.42/5.42 tff(f12385,plain,( 39.42/5.42 ~spl43_611 | ~spl43_587 | spl43_593), 39.42/5.42 inference(avatar_split_clause,[],[f12336,f11893,f11828,f12382])). 39.42/5.42 tff(f12382,plain,( 39.42/5.42 spl43_611 <=> inv_src1(sK19,sK14,sK9)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_611])])). 39.42/5.42 tff(f11893,plain,( 39.42/5.42 spl43_593 <=> inv_src1(sK23,sK14,sK9)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_593])])). 39.42/5.42 tff(f12336,plain,( 39.42/5.42 ~inv_src1(sK19,sK14,sK9) | (~spl43_587 | spl43_593)), 39.42/5.42 inference(backward_demodulation,[],[f11895,f12258])). 39.42/5.42 tff(f11895,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK9) | spl43_593), 39.42/5.42 inference(avatar_component_clause,[],[f11893])). 39.42/5.42 tff(f12380,plain,( 39.42/5.42 spl43_610 | ~spl43_191 | ~spl43_587), 39.42/5.42 inference(avatar_split_clause,[],[f12107,f11828,f2551,f12377])). 39.42/5.42 tff(f12377,plain,( 39.42/5.42 spl43_610 <=> mem(vertex,t2tb2(sK19),t2tb(g_succ1(sK12)))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_610])])). 39.42/5.42 tff(f2551,plain,( 39.42/5.42 spl43_191 <=> mem(vertex,t2tb2(sK23),t2tb(g_succ1(sK12)))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_191])])). 39.42/5.42 tff(f12107,plain,( 39.42/5.42 mem(vertex,t2tb2(sK19),t2tb(g_succ1(sK12))) | (~spl43_191 | ~spl43_587)), 39.42/5.42 inference(backward_demodulation,[],[f2553,f11830])). 39.42/5.42 tff(f2553,plain,( 39.42/5.42 mem(vertex,t2tb2(sK23),t2tb(g_succ1(sK12))) | ~spl43_191), 39.42/5.42 inference(avatar_component_clause,[],[f2551])). 39.42/5.42 tff(f12375,plain,( 39.42/5.42 ~spl43_609 | ~spl43_587 | spl43_602), 39.42/5.42 inference(avatar_split_clause,[],[f12344,f12085,f11828,f12372])). 39.42/5.42 tff(f12372,plain,( 39.42/5.42 spl43_609 <=> inv_src1(sK19,sK14,sK15)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_609])])). 39.42/5.42 tff(f12085,plain,( 39.42/5.42 spl43_602 <=> inv_src1(sK23,sK14,sK15)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_602])])). 39.42/5.42 tff(f12344,plain,( 39.42/5.42 ~inv_src1(sK19,sK14,sK15) | (~spl43_587 | spl43_602)), 39.42/5.42 inference(backward_demodulation,[],[f12087,f12258])). 39.42/5.42 tff(f12087,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK15) | spl43_602), 39.42/5.42 inference(avatar_component_clause,[],[f12085])). 39.42/5.42 tff(f12370,plain,( 39.42/5.42 ~spl43_608 | ~spl43_587 | spl43_592), 39.42/5.42 inference(avatar_split_clause,[],[f12335,f11888,f11828,f12367])). 39.42/5.42 tff(f12367,plain,( 39.42/5.42 spl43_608 <=> inv_src1(sK19,sK14,sK6)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_608])])). 39.42/5.42 tff(f11888,plain,( 39.42/5.42 spl43_592 <=> inv_src1(sK23,sK14,sK6)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_592])])). 39.42/5.42 tff(f12335,plain,( 39.42/5.42 ~inv_src1(sK19,sK14,sK6) | (~spl43_587 | spl43_592)), 39.42/5.42 inference(backward_demodulation,[],[f11890,f12258])). 39.42/5.42 tff(f11890,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK6) | spl43_592), 39.42/5.42 inference(avatar_component_clause,[],[f11888])). 39.42/5.42 tff(f12365,plain,( 39.42/5.42 ~spl43_607 | ~spl43_587 | spl43_590), 39.42/5.42 inference(avatar_split_clause,[],[f12334,f11878,f11828,f12362])). 39.42/5.42 tff(f12362,plain,( 39.42/5.42 spl43_607 <=> inv_src1(sK19,sK14,sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_607])])). 39.42/5.42 tff(f11878,plain,( 39.42/5.42 spl43_590 <=> inv_src1(sK23,sK14,sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_590])])). 39.42/5.42 tff(f12334,plain,( 39.42/5.42 ~inv_src1(sK19,sK14,sK13) | (~spl43_587 | spl43_590)), 39.42/5.42 inference(backward_demodulation,[],[f11880,f12258])). 39.42/5.42 tff(f11880,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK13) | spl43_590), 39.42/5.42 inference(avatar_component_clause,[],[f11878])). 39.42/5.42 tff(f12360,plain,( 39.42/5.42 spl43_606 | ~spl43_44), 39.42/5.42 inference(avatar_split_clause,[],[f12033,f948,f12357])). 39.42/5.42 tff(f12033,plain,( 39.42/5.42 sP0(sK15,sK19,sK15,sK21,sK12,sK16) | ~spl43_44), 39.42/5.42 inference(backward_demodulation,[],[f950,f12023])). 39.42/5.42 tff(f12023,plain,( 39.42/5.42 sK15 = sK20 | ~spl43_44), 39.42/5.42 inference(resolution,[],[f950,f276])). 39.42/5.42 tff(f276,plain,( 39.42/5.42 ( ! [X2 : set_vertex,X3 : map_vertex_int,X0 : set_vertex,X1 : vertex1,X4 : vertex1,X5 : map_vertex_int] : (~sP0(X0,X1,X2,X3,X4,X5) | X0 = X2) )), 39.42/5.42 inference(cnf_transformation,[],[f220])). 39.42/5.42 tff(f950,plain,( 39.42/5.42 sP0(sK20,sK19,sK15,sK21,sK12,sK16) | ~spl43_44), 39.42/5.42 inference(avatar_component_clause,[],[f948])). 39.42/5.42 tff(f12355,plain,( 39.42/5.42 ~spl43_605 | ~spl43_587 | spl43_589), 39.42/5.42 inference(avatar_split_clause,[],[f12333,f11873,f11828,f12352])). 39.42/5.42 tff(f12352,plain,( 39.42/5.42 spl43_605 <=> inv_src1(sK19,sK14,sK18)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_605])])). 39.42/5.42 tff(f11873,plain,( 39.42/5.42 spl43_589 <=> inv_src1(sK23,sK14,sK18)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_589])])). 39.42/5.42 tff(f12333,plain,( 39.42/5.42 ~inv_src1(sK19,sK14,sK18) | (~spl43_587 | spl43_589)), 39.42/5.42 inference(backward_demodulation,[],[f11875,f12258])). 39.42/5.42 tff(f11875,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK18) | spl43_589), 39.42/5.42 inference(avatar_component_clause,[],[f11873])). 39.42/5.42 tff(f12350,plain,( 39.42/5.42 spl43_604 | ~spl43_587), 39.42/5.42 inference(avatar_split_clause,[],[f12258,f11828,f12347])). 39.42/5.42 tff(f12094,plain,( 39.42/5.42 ~spl43_184 | spl43_16 | ~spl43_44), 39.42/5.42 inference(avatar_split_clause,[],[f12025,f948,f657,f2490])). 39.42/5.42 tff(f2490,plain,( 39.42/5.42 spl43_184 <=> mem(vertex,t2tb2(sK23),t2tb(sK15))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_184])])). 39.42/5.42 tff(f657,plain,( 39.42/5.42 spl43_16 <=> mem(vertex,t2tb2(sK23),t2tb(sK20))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_16])])). 39.42/5.42 tff(f12025,plain,( 39.42/5.42 ~mem(vertex,t2tb2(sK23),t2tb(sK15)) | (spl43_16 | ~spl43_44)), 39.42/5.42 inference(backward_demodulation,[],[f659,f12023])). 39.42/5.42 tff(f659,plain,( 39.42/5.42 ~mem(vertex,t2tb2(sK23),t2tb(sK20)) | spl43_16), 39.42/5.42 inference(avatar_component_clause,[],[f657])). 39.42/5.42 tff(f12093,plain,( 39.42/5.42 ~spl43_603 | ~spl43_44 | spl43_600), 39.42/5.42 inference(avatar_split_clause,[],[f12068,f12006,f948,f12090])). 39.42/5.42 tff(f12006,plain,( 39.42/5.42 spl43_600 <=> inv_src1(sK23,sK20,sK14)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_600])])). 39.42/5.42 tff(f12068,plain,( 39.42/5.42 ~inv_src1(sK23,sK15,sK14) | (~spl43_44 | spl43_600)), 39.42/5.42 inference(backward_demodulation,[],[f12008,f12023])). 39.42/5.42 tff(f12008,plain,( 39.42/5.42 ~inv_src1(sK23,sK20,sK14) | spl43_600), 39.42/5.42 inference(avatar_component_clause,[],[f12006])). 39.42/5.42 tff(f12088,plain,( 39.42/5.42 ~spl43_602 | ~spl43_44 | spl43_591), 39.42/5.42 inference(avatar_split_clause,[],[f12067,f11883,f948,f12085])). 39.42/5.42 tff(f11883,plain,( 39.42/5.42 spl43_591 <=> inv_src1(sK23,sK14,sK20)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_591])])). 39.42/5.42 tff(f12067,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK15) | (~spl43_44 | spl43_591)), 39.42/5.42 inference(backward_demodulation,[],[f11885,f12023])). 39.42/5.42 tff(f11885,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK20) | spl43_591), 39.42/5.42 inference(avatar_component_clause,[],[f11883])). 39.42/5.42 tff(f12069,plain,( 39.42/5.42 spl43_74 | ~spl43_44), 39.42/5.42 inference(avatar_split_clause,[],[f12023,f948,f1172])). 39.42/5.42 tff(f12016,plain,( 39.42/5.42 spl43_16 | ~spl43_588 | ~spl43_184 | ~spl43_333), 39.42/5.42 inference(avatar_split_clause,[],[f11840,f4258,f2490,f11832,f657])). 39.42/5.42 tff(f11832,plain,( 39.42/5.42 spl43_588 <=> sort1(vertex,t2tb2(sK23))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_588])])). 39.42/5.42 tff(f4258,plain,( 39.42/5.42 spl43_333 <=> ! [X1 : uni] : (mem(vertex,X1,t2tb(sK20)) | ~sort1(vertex,X1) | ~mem(vertex,X1,t2tb(sK15)))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_333])])). 39.42/5.42 tff(f11840,plain,( 39.42/5.42 ~sort1(vertex,t2tb2(sK23)) | mem(vertex,t2tb2(sK23),t2tb(sK20)) | (~spl43_184 | ~spl43_333)), 39.42/5.42 inference(resolution,[],[f2492,f4259])). 39.42/5.42 tff(f4259,plain,( 39.42/5.42 ( ! [X1 : uni] : (~mem(vertex,X1,t2tb(sK15)) | ~sort1(vertex,X1) | mem(vertex,X1,t2tb(sK20))) ) | ~spl43_333), 39.42/5.42 inference(avatar_component_clause,[],[f4258])). 39.42/5.42 tff(f2492,plain,( 39.42/5.42 mem(vertex,t2tb2(sK23),t2tb(sK15)) | ~spl43_184), 39.42/5.42 inference(avatar_component_clause,[],[f2490])). 39.42/5.42 tff(f12014,plain,( 39.42/5.42 ~spl43_601 | spl43_200), 39.42/5.42 inference(avatar_split_clause,[],[f11914,f2636,f12011])). 39.42/5.42 tff(f2636,plain,( 39.42/5.42 spl43_200 <=> mem(vertex,t2tb2(sK23),t2tb(sK14))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_200])])). 39.42/5.42 tff(f11914,plain,( 39.42/5.42 ~inv_src1(sK23,sK6,sK14) | spl43_200), 39.42/5.42 inference(resolution,[],[f11858,f280])). 39.42/5.42 tff(f280,plain,( 39.42/5.42 ( ! [X46 : vertex1] : (~mem(vertex,t2tb2(X46),t2tb(sK6))) )), 39.42/5.42 inference(cnf_transformation,[],[f241])). 39.42/5.42 tff(f11858,plain,( 39.42/5.42 ( ! [X1 : set_vertex] : (mem(vertex,t2tb2(sK23),t2tb(X1)) | ~inv_src1(sK23,X1,sK14)) ) | spl43_200), 39.42/5.42 inference(resolution,[],[f2637,f475])). 39.42/5.42 tff(f475,plain,( 39.42/5.42 ( ! [X2 : set_vertex,X0 : vertex1,X1 : set_vertex] : (mem(vertex,t2tb2(X0),t2tb(X2)) | mem(vertex,t2tb2(X0),t2tb(X1)) | ~inv_src1(X0,X1,X2)) )), 39.42/5.42 inference(cnf_transformation,[],[f205])). 39.42/5.42 tff(f205,plain,( 39.42/5.42 ! [X0 : vertex1,X1 : set_vertex,X2 : set_vertex] : (mem(vertex,t2tb2(X0),t2tb(X2)) | mem(vertex,t2tb2(X0),t2tb(X1)) | ~inv_src1(X0,X1,X2))), 39.42/5.42 inference(flattening,[],[f204])). 39.42/5.42 tff(f204,plain,( 39.42/5.42 ! [X0 : vertex1,X1 : set_vertex,X2 : set_vertex] : ((mem(vertex,t2tb2(X0),t2tb(X2)) | mem(vertex,t2tb2(X0),t2tb(X1))) | ~inv_src1(X0,X1,X2))), 39.42/5.42 inference(ennf_transformation,[],[f166])). 39.42/5.42 tff(f166,plain,( 39.42/5.42 ! [X0 : vertex1,X1 : set_vertex,X2 : set_vertex] : (inv_src1(X0,X1,X2) => (mem(vertex,t2tb2(X0),t2tb(X2)) | mem(vertex,t2tb2(X0),t2tb(X1))))), 39.42/5.42 inference(unused_predicate_definition_removal,[],[f151])). 39.42/5.42 tff(f151,plain,( 39.42/5.42 ! [X0 : vertex1,X1 : set_vertex,X2 : set_vertex] : ((mem(vertex,t2tb2(X0),t2tb(X2)) | mem(vertex,t2tb2(X0),t2tb(X1))) <=> inv_src1(X0,X1,X2))), 39.42/5.42 inference(rectify,[],[f10])). 39.42/5.42 tff(f10,axiom,( 39.42/5.42 ! [X6 : vertex1,X4 : set_vertex,X11 : set_vertex] : ((mem(vertex,t2tb2(X6),t2tb(X11)) | mem(vertex,t2tb2(X6),t2tb(X4))) <=> inv_src1(X6,X4,X11))), 39.42/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inv_src_def)). 39.42/5.42 tff(f2637,plain,( 39.42/5.42 ~mem(vertex,t2tb2(sK23),t2tb(sK14)) | spl43_200), 39.42/5.42 inference(avatar_component_clause,[],[f2636])). 39.42/5.42 tff(f12009,plain,( 39.42/5.42 ~spl43_600 | spl43_16 | spl43_200), 39.42/5.42 inference(avatar_split_clause,[],[f11909,f2636,f657,f12006])). 39.42/5.42 tff(f11909,plain,( 39.42/5.42 ~inv_src1(sK23,sK20,sK14) | (spl43_16 | spl43_200)), 39.42/5.42 inference(resolution,[],[f11858,f659])). 39.42/5.42 tff(f12004,plain,( 39.42/5.42 ~spl43_599 | spl43_32 | spl43_200), 39.42/5.42 inference(avatar_split_clause,[],[f11908,f2636,f770,f12001])). 39.42/5.42 tff(f770,plain,( 39.42/5.42 spl43_32 <=> mem(vertex,t2tb2(sK23),t2tb(sK18))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_32])])). 39.42/5.42 tff(f11908,plain,( 39.42/5.42 ~inv_src1(sK23,sK18,sK14) | (spl43_32 | spl43_200)), 39.42/5.42 inference(resolution,[],[f11858,f772])). 39.42/5.42 tff(f772,plain,( 39.42/5.42 ~mem(vertex,t2tb2(sK23),t2tb(sK18)) | spl43_32), 39.42/5.42 inference(avatar_component_clause,[],[f770])). 39.42/5.42 tff(f11999,plain,( 39.42/5.42 ~spl43_598 | spl43_200), 39.42/5.42 inference(avatar_split_clause,[],[f11907,f2636,f11996])). 39.42/5.42 tff(f11907,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK14) | spl43_200), 39.42/5.42 inference(resolution,[],[f11858,f2637])). 39.42/5.42 tff(f11994,plain,( 39.42/5.42 ~spl43_597 | spl43_17 | spl43_200), 39.42/5.42 inference(avatar_split_clause,[],[f11906,f2636,f662,f11991])). 39.42/5.42 tff(f662,plain,( 39.42/5.42 spl43_17 <=> mem(vertex,t2tb2(sK23),t2tb(sK13))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_17])])). 39.42/5.42 tff(f11906,plain,( 39.42/5.42 ~inv_src1(sK23,sK13,sK14) | (spl43_17 | spl43_200)), 39.42/5.42 inference(resolution,[],[f11858,f664])). 39.42/5.42 tff(f664,plain,( 39.42/5.42 ~mem(vertex,t2tb2(sK23),t2tb(sK13)) | spl43_17), 39.42/5.42 inference(avatar_component_clause,[],[f662])). 39.42/5.42 tff(f11989,plain,( 39.42/5.42 ~spl43_596 | spl43_162 | spl43_200), 39.42/5.42 inference(avatar_split_clause,[],[f11905,f2636,f2277,f11986])). 39.42/5.42 tff(f2277,plain,( 39.42/5.42 spl43_162 <=> mem(vertex,t2tb2(sK23),t2tb(sK9))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_162])])). 39.42/5.42 tff(f11905,plain,( 39.42/5.42 ~inv_src1(sK23,sK9,sK14) | (spl43_162 | spl43_200)), 39.42/5.42 inference(resolution,[],[f11858,f2278])). 39.42/5.42 tff(f2278,plain,( 39.42/5.42 ~mem(vertex,t2tb2(sK23),t2tb(sK9)) | spl43_162), 39.42/5.42 inference(avatar_component_clause,[],[f2277])). 39.42/5.42 tff(f11984,plain,( 39.42/5.42 ~spl43_595 | spl43_77 | spl43_200), 39.42/5.42 inference(avatar_split_clause,[],[f11904,f2636,f1205,f11981])). 39.42/5.42 tff(f1205,plain,( 39.42/5.42 spl43_77 <=> mem(vertex,t2tb2(sK23),t2tb(sK7))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_77])])). 39.42/5.42 tff(f11904,plain,( 39.42/5.42 ~inv_src1(sK23,sK7,sK14) | (spl43_77 | spl43_200)), 39.42/5.42 inference(resolution,[],[f11858,f1207])). 39.42/5.42 tff(f1207,plain,( 39.42/5.42 ~mem(vertex,t2tb2(sK23),t2tb(sK7)) | spl43_77), 39.42/5.42 inference(avatar_component_clause,[],[f1205])). 39.42/5.42 tff(f11901,plain,( 39.42/5.42 ~spl43_594 | spl43_77 | spl43_200), 39.42/5.42 inference(avatar_split_clause,[],[f11855,f2636,f1205,f11898])). 39.42/5.42 tff(f11855,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK7) | (spl43_77 | spl43_200)), 39.42/5.42 inference(resolution,[],[f2637,f1216])). 39.42/5.42 tff(f1216,plain,( 39.42/5.42 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK23),t2tb(X0)) | ~inv_src1(sK23,X0,sK7)) ) | spl43_77), 39.42/5.42 inference(resolution,[],[f1207,f475])). 39.42/5.42 tff(f11896,plain,( 39.42/5.42 ~spl43_593 | spl43_162 | spl43_200), 39.42/5.42 inference(avatar_split_clause,[],[f11853,f2636,f2277,f11893])). 39.42/5.42 tff(f11853,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK9) | (spl43_162 | spl43_200)), 39.42/5.42 inference(resolution,[],[f2637,f7189])). 39.42/5.42 tff(f7189,plain,( 39.42/5.42 ( ! [X7 : set_vertex] : (mem(vertex,t2tb2(sK23),t2tb(X7)) | ~inv_src1(sK23,X7,sK9)) ) | spl43_162), 39.42/5.42 inference(resolution,[],[f2278,f475])). 39.42/5.42 tff(f11891,plain,( 39.42/5.42 ~spl43_592 | spl43_200), 39.42/5.42 inference(avatar_split_clause,[],[f11859,f2636,f11888])). 39.42/5.42 tff(f11859,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK6) | spl43_200), 39.42/5.42 inference(resolution,[],[f2637,f609])). 39.42/5.42 tff(f609,plain,( 39.42/5.42 ( ! [X3 : vertex1,X4 : set_vertex] : (mem(vertex,t2tb2(X3),t2tb(X4)) | ~inv_src1(X3,X4,sK6)) )), 39.42/5.42 inference(resolution,[],[f280,f475])). 39.42/5.42 tff(f11886,plain,( 39.42/5.42 ~spl43_591 | spl43_16 | spl43_200), 39.42/5.42 inference(avatar_split_clause,[],[f11857,f2636,f657,f11883])). 39.42/5.42 tff(f11857,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK20) | (spl43_16 | spl43_200)), 39.42/5.42 inference(resolution,[],[f2637,f715])). 39.42/5.42 tff(f715,plain,( 39.42/5.42 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK23),t2tb(X0)) | ~inv_src1(sK23,X0,sK20)) ) | spl43_16), 39.42/5.42 inference(resolution,[],[f659,f475])). 39.42/5.42 tff(f11881,plain,( 39.42/5.42 ~spl43_590 | spl43_17 | spl43_200), 39.42/5.42 inference(avatar_split_clause,[],[f11856,f2636,f662,f11878])). 39.42/5.42 tff(f11856,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK13) | (spl43_17 | spl43_200)), 39.42/5.42 inference(resolution,[],[f2637,f716])). 39.42/5.42 tff(f716,plain,( 39.42/5.42 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK23),t2tb(X0)) | ~inv_src1(sK23,X0,sK13)) ) | spl43_17), 39.42/5.42 inference(resolution,[],[f664,f475])). 39.42/5.42 tff(f11876,plain,( 39.42/5.42 ~spl43_589 | spl43_32 | spl43_200), 39.42/5.42 inference(avatar_split_clause,[],[f11854,f2636,f770,f11873])). 39.42/5.42 tff(f11854,plain,( 39.42/5.42 ~inv_src1(sK23,sK14,sK18) | (spl43_32 | spl43_200)), 39.42/5.42 inference(resolution,[],[f2637,f2534])). 39.42/5.42 tff(f2534,plain,( 39.42/5.42 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK23),t2tb(X0)) | ~inv_src1(sK23,X0,sK18)) ) | spl43_32), 39.42/5.42 inference(resolution,[],[f772,f475])). 39.42/5.42 tff(f11837,plain,( 39.42/5.42 spl43_588), 39.42/5.42 inference(avatar_contradiction_clause,[],[f11836])). 39.42/5.42 tff(f11836,plain,( 39.42/5.42 $false | spl43_588), 39.42/5.42 inference(resolution,[],[f11834,f381])). 39.42/5.42 tff(f381,plain,( 39.42/5.42 ( ! [X0 : vertex1] : (sort1(vertex,t2tb2(X0))) )), 39.42/5.42 inference(cnf_transformation,[],[f97])). 39.42/5.42 tff(f97,plain,( 39.42/5.42 ! [X0 : vertex1] : sort1(vertex,t2tb2(X0))), 39.42/5.42 inference(rectify,[],[f75])). 39.42/5.42 tff(f75,axiom,( 39.42/5.42 ! [X3 : vertex1] : sort1(vertex,t2tb2(X3))), 39.42/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort2)). 39.42/5.42 tff(f11834,plain,( 39.42/5.42 ~sort1(vertex,t2tb2(sK23)) | spl43_588), 39.42/5.42 inference(avatar_component_clause,[],[f11832])). 39.42/5.42 tff(f11835,plain,( 39.42/5.42 spl43_587 | spl43_32 | ~spl43_588 | ~spl43_200 | ~spl43_359), 39.42/5.42 inference(avatar_split_clause,[],[f5246,f5234,f2636,f11832,f770,f11828])). 39.42/5.42 tff(f5234,plain,( 39.42/5.42 spl43_359 <=> ! [X0 : uni] : (mem(vertex,X0,t2tb(sK18)) | ~sort1(vertex,X0) | ~mem(vertex,X0,t2tb(sK14)) | t2tb2(sK19) = X0)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_359])])). 39.42/5.42 tff(f5246,plain,( 39.42/5.42 ~sort1(vertex,t2tb2(sK23)) | mem(vertex,t2tb2(sK23),t2tb(sK18)) | t2tb2(sK19) = t2tb2(sK23) | (~spl43_200 | ~spl43_359)), 39.42/5.42 inference(resolution,[],[f5235,f2638])). 39.42/5.42 tff(f2638,plain,( 39.42/5.42 mem(vertex,t2tb2(sK23),t2tb(sK14)) | ~spl43_200), 39.42/5.42 inference(avatar_component_clause,[],[f2636])). 39.42/5.42 tff(f5235,plain,( 39.42/5.42 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK14)) | ~sort1(vertex,X0) | mem(vertex,X0,t2tb(sK18)) | t2tb2(sK19) = X0) ) | ~spl43_359), 39.42/5.42 inference(avatar_component_clause,[],[f5234])). 39.42/5.42 tff(f11826,plain,( 39.42/5.42 spl43_586 | ~spl43_7 | ~spl43_316), 39.42/5.42 inference(avatar_split_clause,[],[f11820,f4071,f612,f11823])). 39.42/5.42 tff(f11823,plain,( 39.42/5.42 spl43_586 <=> mem(vertex,sK31(vertex,t2tb(sK11)),t2tb(v1))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_586])])). 39.42/5.42 tff(f612,plain,( 39.42/5.42 spl43_7 <=> subset(vertex,t2tb(sK7),t2tb(v1))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_7])])). 39.42/5.42 tff(f4071,plain,( 39.42/5.42 spl43_316 <=> mem(vertex,sK31(vertex,t2tb(sK11)),t2tb(sK7))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_316])])). 39.42/5.42 tff(f11820,plain,( 39.42/5.42 mem(vertex,sK31(vertex,t2tb(sK11)),t2tb(v1)) | (~spl43_7 | ~spl43_316)), 39.42/5.42 inference(resolution,[],[f4073,f688])). 39.42/5.42 tff(f688,plain,( 39.42/5.42 ( ! [X1 : uni] : (~mem(vertex,X1,t2tb(sK7)) | mem(vertex,X1,t2tb(v1))) ) | ~spl43_7), 39.42/5.42 inference(resolution,[],[f614,f425])). 39.42/5.42 tff(f425,plain,( 39.42/5.42 ( ! [X2 : uni,X0 : ty,X1 : uni,X4 : uni] : (~subset(X0,X1,X2) | ~mem(X0,X4,X1) | mem(X0,X4,X2)) )), 39.42/5.42 inference(cnf_transformation,[],[f250])). 39.42/5.42 tff(f250,plain,( 39.42/5.42 ! [X0 : ty,X1 : uni,X2 : uni] : ((subset(X0,X1,X2) | (~mem(X0,sK32(X0,X1,X2),X2) & mem(X0,sK32(X0,X1,X2),X1) & sort1(X0,sK32(X0,X1,X2)))) & (! [X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1)) | ~subset(X0,X1,X2)))), 39.42/5.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f180,f249])). 39.42/5.42 tff(f249,plain,( 39.42/5.42 ! [X0 : ty,X1 : uni,X2 : uni] : (? [X3 : uni] : (~mem(X0,X3,X2) & mem(X0,X3,X1) & sort1(X0,X3)) => (~mem(X0,sK32(X0,X1,X2),X2) & mem(X0,sK32(X0,X1,X2),X1) & sort1(X0,sK32(X0,X1,X2))))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f180,plain,( 39.42/5.42 ! [X0 : ty,X1 : uni,X2 : uni] : ((subset(X0,X1,X2) | ? [X3 : uni] : (~mem(X0,X3,X2) & mem(X0,X3,X1) & sort1(X0,X3))) & (! [X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1)) | ~subset(X0,X1,X2)))), 39.42/5.42 inference(flattening,[],[f179])). 39.42/5.42 tff(f179,plain,( 39.42/5.42 ! [X0 : ty,X1 : uni,X2 : uni] : ((subset(X0,X1,X2) | ? [X3 : uni] : ((~mem(X0,X3,X2) & mem(X0,X3,X1)) & sort1(X0,X3))) & (! [X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1)) | ~subset(X0,X1,X2)))), 39.42/5.42 inference(ennf_transformation,[],[f135])). 39.42/5.42 tff(f135,plain,( 39.42/5.42 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : (sort1(X0,X3) => (mem(X0,X3,X1) => mem(X0,X3,X2))) => subset(X0,X1,X2)) & (subset(X0,X1,X2) => ! [X4 : uni] : (mem(X0,X4,X1) => mem(X0,X4,X2))))), 39.42/5.42 inference(rectify,[],[f1])). 39.42/5.42 tff(f1,axiom,( 39.42/5.42 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : (sort1(X0,X3) => (mem(X0,X3,X1) => mem(X0,X3,X2))) => subset(X0,X1,X2)) & (subset(X0,X1,X2) => ! [X3 : uni] : (mem(X0,X3,X1) => mem(X0,X3,X2))))), 39.42/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_def)). 39.42/5.42 tff(f614,plain,( 39.42/5.42 subset(vertex,t2tb(sK7),t2tb(v1)) | ~spl43_7), 39.42/5.42 inference(avatar_component_clause,[],[f612])). 39.42/5.42 tff(f4073,plain,( 39.42/5.42 mem(vertex,sK31(vertex,t2tb(sK11)),t2tb(sK7)) | ~spl43_316), 39.42/5.42 inference(avatar_component_clause,[],[f4071])). 39.42/5.42 tff(f11814,plain,( 39.42/5.42 spl43_374), 39.42/5.42 inference(avatar_contradiction_clause,[],[f11813])). 39.42/5.42 tff(f11813,plain,( 39.42/5.42 $false | spl43_374), 39.42/5.42 inference(resolution,[],[f5698,f381])). 39.42/5.42 tff(f5698,plain,( 39.42/5.42 ~sort1(vertex,t2tb2(sK27)) | spl43_374), 39.42/5.42 inference(avatar_component_clause,[],[f5696])). 39.42/5.42 tff(f5696,plain,( 39.42/5.42 spl43_374 <=> sort1(vertex,t2tb2(sK27))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_374])])). 39.42/5.42 tff(f11812,plain,( 39.42/5.42 spl43_584 | spl43_585 | ~spl43_374 | ~spl43_19 | ~spl43_357), 39.42/5.42 inference(avatar_split_clause,[],[f5146,f5138,f676,f5696,f11809,f11805])). 39.42/5.42 tff(f11805,plain,( 39.42/5.42 spl43_584 <=> t2tb2(sK12) = t2tb2(sK27)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_584])])). 39.42/5.42 tff(f11809,plain,( 39.42/5.42 spl43_585 <=> mem(vertex,t2tb2(sK27),t2tb(sK11))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_585])])). 39.42/5.42 tff(f676,plain,( 39.42/5.42 spl43_19 <=> mem(vertex,t2tb2(sK27),t2tb(sK7))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_19])])). 39.42/5.42 tff(f5138,plain,( 39.42/5.42 spl43_357 <=> ! [X4 : uni] : (mem(vertex,X4,t2tb(sK11)) | ~sort1(vertex,X4) | ~mem(vertex,X4,t2tb(sK7)) | t2tb2(sK12) = X4)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_357])])). 39.42/5.42 tff(f5146,plain,( 39.42/5.42 ~sort1(vertex,t2tb2(sK27)) | mem(vertex,t2tb2(sK27),t2tb(sK11)) | t2tb2(sK12) = t2tb2(sK27) | (~spl43_19 | ~spl43_357)), 39.42/5.42 inference(resolution,[],[f5139,f678])). 39.42/5.42 tff(f678,plain,( 39.42/5.42 mem(vertex,t2tb2(sK27),t2tb(sK7)) | ~spl43_19), 39.42/5.42 inference(avatar_component_clause,[],[f676])). 39.42/5.42 tff(f5139,plain,( 39.42/5.42 ( ! [X4 : uni] : (~mem(vertex,X4,t2tb(sK7)) | ~sort1(vertex,X4) | mem(vertex,X4,t2tb(sK11)) | t2tb2(sK12) = X4) ) | ~spl43_357), 39.42/5.42 inference(avatar_component_clause,[],[f5138])). 39.42/5.42 tff(f11803,plain,( 39.42/5.42 ~spl43_313 | ~spl43_583), 39.42/5.42 inference(avatar_split_clause,[],[f11802,f11793,f4054])). 39.42/5.42 tff(f4054,plain,( 39.42/5.42 spl43_313 <=> is_empty(vertex,t2tb(sK11))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_313])])). 39.42/5.42 tff(f11793,plain,( 39.42/5.42 spl43_583 <=> mem(vertex,t2tb2(sK26),t2tb(sK11))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_583])])). 39.42/5.42 tff(f11802,plain,( 39.42/5.42 ~is_empty(vertex,t2tb(sK11)) | ~spl43_583), 39.42/5.42 inference(resolution,[],[f11795,f408])). 39.42/5.42 tff(f408,plain,( 39.42/5.42 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~mem(X0,X2,X1) | ~is_empty(X0,X1)) )), 39.42/5.42 inference(cnf_transformation,[],[f247])). 39.42/5.42 tff(f247,plain,( 39.42/5.42 ! [X0 : ty,X1 : uni] : ((! [X2 : uni] : ~mem(X0,X2,X1) | ~is_empty(X0,X1)) & (is_empty(X0,X1) | (mem(X0,sK31(X0,X1),X1) & sort1(X0,sK31(X0,X1)))))), 39.42/5.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f173,f246])). 39.42/5.42 tff(f246,plain,( 39.42/5.42 ! [X0 : ty,X1 : uni] : (? [X3 : uni] : (mem(X0,X3,X1) & sort1(X0,X3)) => (mem(X0,sK31(X0,X1),X1) & sort1(X0,sK31(X0,X1))))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f173,plain,( 39.42/5.42 ! [X0 : ty,X1 : uni] : ((! [X2 : uni] : ~mem(X0,X2,X1) | ~is_empty(X0,X1)) & (is_empty(X0,X1) | ? [X3 : uni] : (mem(X0,X3,X1) & sort1(X0,X3))))), 39.42/5.42 inference(ennf_transformation,[],[f118])). 39.42/5.42 tff(f118,plain,( 39.42/5.42 ! [X0 : ty,X1 : uni] : ((is_empty(X0,X1) => ! [X2 : uni] : ~mem(X0,X2,X1)) & (! [X3 : uni] : (sort1(X0,X3) => ~mem(X0,X3,X1)) => is_empty(X0,X1)))), 39.42/5.42 inference(rectify,[],[f74])). 39.42/5.42 tff(f74,axiom,( 39.42/5.42 ! [X0 : ty,X4 : uni] : ((is_empty(X0,X4) => ! [X3 : uni] : ~mem(X0,X3,X4)) & (! [X3 : uni] : (sort1(X0,X3) => ~mem(X0,X3,X4)) => is_empty(X0,X4)))), 39.42/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_empty_def)). 39.42/5.42 tff(f11795,plain,( 39.42/5.42 mem(vertex,t2tb2(sK26),t2tb(sK11)) | ~spl43_583), 39.42/5.42 inference(avatar_component_clause,[],[f11793])). 39.42/5.42 tff(f11798,plain,( 39.42/5.42 spl43_372), 39.42/5.42 inference(avatar_contradiction_clause,[],[f11797])). 39.42/5.42 tff(f11797,plain,( 39.42/5.42 $false | spl43_372), 39.42/5.42 inference(resolution,[],[f5611,f381])). 39.42/5.42 tff(f5611,plain,( 39.42/5.42 ~sort1(vertex,t2tb2(sK26)) | spl43_372), 39.42/5.42 inference(avatar_component_clause,[],[f5609])). 39.42/5.42 tff(f5609,plain,( 39.42/5.42 spl43_372 <=> sort1(vertex,t2tb2(sK26))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_372])])). 39.42/5.42 tff(f11796,plain,( 39.42/5.42 spl43_582 | spl43_583 | ~spl43_372 | ~spl43_9 | ~spl43_357), 39.42/5.42 inference(avatar_split_clause,[],[f5145,f5138,f622,f5609,f11793,f11789])). 39.42/5.42 tff(f11789,plain,( 39.42/5.42 spl43_582 <=> t2tb2(sK12) = t2tb2(sK26)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_582])])). 39.42/5.42 tff(f622,plain,( 39.42/5.42 spl43_9 <=> mem(vertex,t2tb2(sK26),t2tb(sK7))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_9])])). 39.42/5.42 tff(f5145,plain,( 39.42/5.42 ~sort1(vertex,t2tb2(sK26)) | mem(vertex,t2tb2(sK26),t2tb(sK11)) | t2tb2(sK12) = t2tb2(sK26) | (~spl43_9 | ~spl43_357)), 39.42/5.42 inference(resolution,[],[f5139,f624])). 39.42/5.42 tff(f624,plain,( 39.42/5.42 mem(vertex,t2tb2(sK26),t2tb(sK7)) | ~spl43_9), 39.42/5.42 inference(avatar_component_clause,[],[f622])). 39.42/5.42 tff(f11716,plain,( 39.42/5.42 ~spl43_580 | spl43_581 | ~spl43_178), 39.42/5.42 inference(avatar_split_clause,[],[f4889,f2408,f11714,f11710])). 39.42/5.42 tff(f11710,plain,( 39.42/5.42 spl43_580 <=> inv_src1(sK30(sK20),sK20,sK6)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_580])])). 39.42/5.42 tff(f11714,plain,( 39.42/5.42 spl43_581 <=> ! [X243 : vertex1,X244 : $int] : (~path1(sK19,X243,X244) | mem(vertex,t2tb2(X243),t2tb(sK20)))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_581])])). 39.42/5.42 tff(f2408,plain,( 39.42/5.42 spl43_178 <=> mem(vertex,t2tb2(sK19),t2tb(sK20))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_178])])). 39.42/5.42 tff(f4889,plain,( 39.42/5.42 ( ! [X243 : vertex1,X244 : $int] : (~path1(sK19,X243,X244) | ~inv_src1(sK30(sK20),sK20,sK6) | mem(vertex,t2tb2(X243),t2tb(sK20))) ) | ~spl43_178), 39.42/5.42 inference(resolution,[],[f792,f2410])). 39.42/5.42 tff(f2410,plain,( 39.42/5.42 mem(vertex,t2tb2(sK19),t2tb(sK20)) | ~spl43_178), 39.42/5.42 inference(avatar_component_clause,[],[f2408])). 39.42/5.42 tff(f792,plain,( 39.42/5.42 ( ! [X2 : vertex1,X3 : $int,X0 : set_vertex,X1 : vertex1] : (~mem(vertex,t2tb2(X1),t2tb(X0)) | ~path1(X1,X2,X3) | ~inv_src1(sK30(X0),X0,sK6) | mem(vertex,t2tb2(X2),t2tb(X0))) )), 39.42/5.42 inference(resolution,[],[f609,f399])). 39.42/5.42 tff(f399,plain,( 39.42/5.42 ( ! [X2 : vertex1,X3 : $int,X0 : set_vertex,X1 : vertex1] : (~mem(vertex,t2tb2(sK30(X0)),t2tb(X0)) | ~path1(X1,X2,X3) | ~mem(vertex,t2tb2(X1),t2tb(X0)) | mem(vertex,t2tb2(X2),t2tb(X0))) )), 39.42/5.42 inference(cnf_transformation,[],[f245])). 39.42/5.42 tff(f245,plain,( 39.42/5.42 ! [X0 : set_vertex] : (! [X1 : vertex1] : (! [X2 : vertex1,X3 : $int] : (mem(vertex,t2tb2(X2),t2tb(X0)) | ~path1(X1,X2,X3)) | ~mem(vertex,t2tb2(X1),t2tb(X0))) | ((~mem(vertex,t2tb2(sK30(X0)),t2tb(X0)) & mem(vertex,t2tb2(sK30(X0)),t2tb(g_succ1(sK29(X0))))) & mem(vertex,t2tb2(sK29(X0)),t2tb(X0))))), 39.42/5.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30])],[f242,f244,f243])). 39.42/5.42 tff(f243,plain,( 39.42/5.42 ! [X0 : set_vertex] : (? [X4 : vertex1] : (? [X5 : vertex1] : (~mem(vertex,t2tb2(X5),t2tb(X0)) & mem(vertex,t2tb2(X5),t2tb(g_succ1(X4)))) & mem(vertex,t2tb2(X4),t2tb(X0))) => (? [X5 : vertex1] : (~mem(vertex,t2tb2(X5),t2tb(X0)) & mem(vertex,t2tb2(X5),t2tb(g_succ1(sK29(X0))))) & mem(vertex,t2tb2(sK29(X0)),t2tb(X0))))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f244,plain,( 39.42/5.42 ! [X0 : set_vertex] : (? [X5 : vertex1] : (~mem(vertex,t2tb2(X5),t2tb(X0)) & mem(vertex,t2tb2(X5),t2tb(g_succ1(sK29(X0))))) => (~mem(vertex,t2tb2(sK30(X0)),t2tb(X0)) & mem(vertex,t2tb2(sK30(X0)),t2tb(g_succ1(sK29(X0))))))), 39.42/5.42 introduced(choice_axiom,[])). 39.42/5.42 tff(f242,plain,( 39.42/5.42 ! [X0 : set_vertex] : (! [X1 : vertex1] : (! [X2 : vertex1,X3 : $int] : (mem(vertex,t2tb2(X2),t2tb(X0)) | ~path1(X1,X2,X3)) | ~mem(vertex,t2tb2(X1),t2tb(X0))) | ? [X4 : vertex1] : (? [X5 : vertex1] : (~mem(vertex,t2tb2(X5),t2tb(X0)) & mem(vertex,t2tb2(X5),t2tb(g_succ1(X4)))) & mem(vertex,t2tb2(X4),t2tb(X0))))), 39.42/5.42 inference(rectify,[],[f172])). 39.42/5.42 tff(f172,plain,( 39.42/5.42 ! [X0 : set_vertex] : (! [X3 : vertex1] : (! [X4 : vertex1,X5 : $int] : (mem(vertex,t2tb2(X4),t2tb(X0)) | ~path1(X3,X4,X5)) | ~mem(vertex,t2tb2(X3),t2tb(X0))) | ? [X1 : vertex1] : (? [X2 : vertex1] : (~mem(vertex,t2tb2(X2),t2tb(X0)) & mem(vertex,t2tb2(X2),t2tb(g_succ1(X1)))) & mem(vertex,t2tb2(X1),t2tb(X0))))), 39.42/5.42 inference(ennf_transformation,[],[f111])). 39.42/5.42 tff(f111,plain,( 39.42/5.42 ! [X0 : set_vertex] : (! [X1 : vertex1] : (mem(vertex,t2tb2(X1),t2tb(X0)) => ! [X2 : vertex1] : (mem(vertex,t2tb2(X2),t2tb(g_succ1(X1))) => mem(vertex,t2tb2(X2),t2tb(X0)))) => ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(X0)) => ! [X4 : vertex1,X5 : $int] : (path1(X3,X4,X5) => mem(vertex,t2tb2(X4),t2tb(X0)))))), 39.42/5.42 inference(rectify,[],[f63])). 39.42/5.42 tff(f63,axiom,( 39.42/5.42 ! [X4 : set_vertex] : (! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X4)) => ! [X26 : vertex1] : (mem(vertex,t2tb2(X26),t2tb(g_succ1(X7))) => mem(vertex,t2tb2(X26),t2tb(X4)))) => ! [X6 : vertex1] : (mem(vertex,t2tb2(X6),t2tb(X4)) => ! [X27 : vertex1,X8 : $int] : (path1(X6,X27,X8) => mem(vertex,t2tb2(X27),t2tb(X4)))))), 39.42/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',completeness_lemma)). 39.42/5.42 tff(f11597,plain,( 39.42/5.42 ~spl43_578 | spl43_579 | ~spl43_14), 39.42/5.42 inference(avatar_split_clause,[],[f4882,f647,f11595,f11591])). 39.42/5.42 tff(f11591,plain,( 39.42/5.42 spl43_578 <=> inv_src1(sK30(sK14),sK14,sK6)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_578])])). 39.42/5.42 tff(f11595,plain,( 39.42/5.42 spl43_579 <=> ! [X224 : $int,X223 : vertex1] : (~path1(sK19,X223,X224) | mem(vertex,t2tb2(X223),t2tb(sK14)))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_579])])). 39.42/5.42 tff(f647,plain,( 39.42/5.42 spl43_14 <=> mem(vertex,t2tb2(sK19),t2tb(sK14))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_14])])). 39.42/5.42 tff(f4882,plain,( 39.42/5.42 ( ! [X224 : $int,X223 : vertex1] : (~path1(sK19,X223,X224) | ~inv_src1(sK30(sK14),sK14,sK6) | mem(vertex,t2tb2(X223),t2tb(sK14))) ) | ~spl43_14), 39.42/5.42 inference(resolution,[],[f792,f649])). 39.42/5.42 tff(f649,plain,( 39.42/5.42 mem(vertex,t2tb2(sK19),t2tb(sK14)) | ~spl43_14), 39.42/5.42 inference(avatar_component_clause,[],[f647])). 39.42/5.42 tff(f11508,plain,( 39.42/5.42 ~spl43_576 | ~spl43_577 | ~spl43_156 | spl43_214), 39.42/5.42 inference(avatar_split_clause,[],[f11495,f2773,f2237,f11505,f11501])). 39.42/5.42 tff(f11501,plain,( 39.42/5.42 spl43_576 <=> inv_src1(sK30(g_succ1(sK12)),sK18,sK9)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_576])])). 39.42/5.42 tff(f11505,plain,( 39.42/5.42 spl43_577 <=> inv_src1(sK30(g_succ1(sK12)),sK18,sK7)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_577])])). 39.42/5.42 tff(f2237,plain,( 39.42/5.42 spl43_156 <=> subset(vertex,t2tb(sK18),t2tb(sK14))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_156])])). 39.42/5.42 tff(f2773,plain,( 39.42/5.42 spl43_214 <=> mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(sK14))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_214])])). 39.42/5.42 tff(f11495,plain,( 39.42/5.42 ~inv_src1(sK30(g_succ1(sK12)),sK18,sK7) | ~inv_src1(sK30(g_succ1(sK12)),sK18,sK9) | (~spl43_156 | spl43_214)), 39.42/5.42 inference(resolution,[],[f6378,f2775])). 39.42/5.42 tff(f2775,plain,( 39.42/5.42 ~mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(sK14)) | spl43_214), 39.42/5.42 inference(avatar_component_clause,[],[f2773])). 39.42/5.42 tff(f6378,plain,( 39.42/5.42 ( ! [X116 : vertex1] : (mem(vertex,t2tb2(X116),t2tb(sK14)) | ~inv_src1(X116,sK18,sK7) | ~inv_src1(X116,sK18,sK9)) ) | ~spl43_156), 39.42/5.42 inference(resolution,[],[f4621,f2242])). 39.42/5.42 tff(f2242,plain,( 39.42/5.42 ( ! [X1 : uni] : (~mem(vertex,X1,t2tb(sK18)) | mem(vertex,X1,t2tb(sK14))) ) | ~spl43_156), 39.42/5.42 inference(resolution,[],[f2239,f425])). 39.42/5.42 tff(f2239,plain,( 39.42/5.42 subset(vertex,t2tb(sK18),t2tb(sK14)) | ~spl43_156), 39.42/5.42 inference(avatar_component_clause,[],[f2237])). 39.42/5.42 tff(f4621,plain,( 39.42/5.42 ( ! [X0 : vertex1,X1 : set_vertex] : (mem(vertex,t2tb2(X0),t2tb(X1)) | ~inv_src1(X0,X1,sK9) | ~inv_src1(X0,X1,sK7)) )), 39.42/5.42 inference(factoring,[],[f1980])). 39.42/5.42 tff(f1980,plain,( 39.42/5.42 ( ! [X18 : vertex1,X19 : set_vertex,X20 : set_vertex] : (mem(vertex,t2tb2(X18),t2tb(X20)) | ~inv_src1(X18,X19,sK9) | mem(vertex,t2tb2(X18),t2tb(X19)) | ~inv_src1(X18,X20,sK7)) )), 39.42/5.42 inference(resolution,[],[f851,f475])). 39.42/5.42 tff(f851,plain,( 39.42/5.42 ( ! [X4 : vertex1,X5 : set_vertex] : (~mem(vertex,t2tb2(X4),t2tb(sK7)) | mem(vertex,t2tb2(X4),t2tb(X5)) | ~inv_src1(X4,X5,sK9)) )), 39.42/5.42 inference(resolution,[],[f289,f475])). 39.42/5.42 tff(f289,plain,( 39.42/5.42 ( ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(sK9)) | ~mem(vertex,t2tb2(X37),t2tb(sK7))) )), 39.42/5.42 inference(cnf_transformation,[],[f241])). 39.42/5.42 tff(f11485,plain,( 39.42/5.42 ~spl43_574 | ~spl43_575 | ~spl43_150 | spl43_361), 39.42/5.42 inference(avatar_split_clause,[],[f11471,f5503,f2180,f11482,f11478])). 39.42/5.42 tff(f11478,plain,( 39.42/5.42 spl43_574 <=> inv_src1(sK30(g_succ1(sK12)),sK11,sK9)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_574])])). 39.42/5.42 tff(f11482,plain,( 39.42/5.42 spl43_575 <=> inv_src1(sK30(g_succ1(sK12)),sK11,sK7)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_575])])). 39.42/5.42 tff(f2180,plain,( 39.42/5.42 spl43_150 <=> subset(vertex,t2tb(sK11),t2tb(sK7))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_150])])). 39.42/5.42 tff(f5503,plain,( 39.42/5.42 spl43_361 <=> mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(sK7))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_361])])). 39.42/5.42 tff(f11471,plain,( 39.42/5.42 ~inv_src1(sK30(g_succ1(sK12)),sK11,sK7) | ~inv_src1(sK30(g_succ1(sK12)),sK11,sK9) | (~spl43_150 | spl43_361)), 39.42/5.42 inference(resolution,[],[f6371,f5505])). 39.42/5.42 tff(f5505,plain,( 39.42/5.42 ~mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(sK7)) | spl43_361), 39.42/5.42 inference(avatar_component_clause,[],[f5503])). 39.42/5.42 tff(f6371,plain,( 39.42/5.42 ( ! [X109 : vertex1] : (mem(vertex,t2tb2(X109),t2tb(sK7)) | ~inv_src1(X109,sK11,sK7) | ~inv_src1(X109,sK11,sK9)) ) | ~spl43_150), 39.42/5.42 inference(resolution,[],[f4621,f2195])). 39.42/5.42 tff(f2195,plain,( 39.42/5.42 ( ! [X1 : uni] : (~mem(vertex,X1,t2tb(sK11)) | mem(vertex,X1,t2tb(sK7))) ) | ~spl43_150), 39.42/5.42 inference(resolution,[],[f2182,f425])). 39.42/5.42 tff(f2182,plain,( 39.42/5.42 subset(vertex,t2tb(sK11),t2tb(sK7)) | ~spl43_150), 39.42/5.42 inference(avatar_component_clause,[],[f2180])). 39.42/5.42 tff(f11453,plain,( 39.42/5.42 ~spl43_572 | spl43_573 | ~spl43_10), 39.42/5.42 inference(avatar_split_clause,[],[f4876,f627,f11451,f11447])). 39.42/5.42 tff(f11447,plain,( 39.42/5.42 spl43_572 <=> inv_src1(sK30(sK7),sK7,sK6)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_572])])). 39.42/5.42 tff(f11451,plain,( 39.42/5.42 spl43_573 <=> ! [X206 : vertex1,X207 : $int] : (~path1(sK12,X206,X207) | mem(vertex,t2tb2(X206),t2tb(sK7)))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_573])])). 39.42/5.42 tff(f627,plain,( 39.42/5.42 spl43_10 <=> mem(vertex,t2tb2(sK12),t2tb(sK7))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_10])])). 39.42/5.42 tff(f4876,plain,( 39.42/5.42 ( ! [X206 : vertex1,X207 : $int] : (~path1(sK12,X206,X207) | ~inv_src1(sK30(sK7),sK7,sK6) | mem(vertex,t2tb2(X206),t2tb(sK7))) ) | ~spl43_10), 39.42/5.42 inference(resolution,[],[f792,f629])). 39.42/5.42 tff(f629,plain,( 39.42/5.42 mem(vertex,t2tb2(sK12),t2tb(sK7)) | ~spl43_10), 39.42/5.42 inference(avatar_component_clause,[],[f627])). 39.42/5.42 tff(f11441,plain,( 39.42/5.42 ~spl43_570 | spl43_571 | ~spl43_160), 39.42/5.42 inference(avatar_split_clause,[],[f4874,f2266,f11439,f11435])). 39.42/5.42 tff(f11435,plain,( 39.42/5.42 spl43_570 <=> inv_src1(sK30(sK4),sK4,sK6)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_570])])). 39.42/5.42 tff(f11439,plain,( 39.42/5.42 spl43_571 <=> ! [X201 : vertex1,X202 : $int] : (~path1(sK1,X201,X202) | mem(vertex,t2tb2(X201),t2tb(sK4)))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_571])])). 39.42/5.42 tff(f2266,plain,( 39.42/5.42 spl43_160 <=> mem(vertex,t2tb2(sK1),t2tb(sK4))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_160])])). 39.42/5.42 tff(f4874,plain,( 39.42/5.42 ( ! [X202 : $int,X201 : vertex1] : (~path1(sK1,X201,X202) | ~inv_src1(sK30(sK4),sK4,sK6) | mem(vertex,t2tb2(X201),t2tb(sK4))) ) | ~spl43_160), 39.42/5.42 inference(resolution,[],[f792,f2268])). 39.42/5.42 tff(f2268,plain,( 39.42/5.42 mem(vertex,t2tb2(sK1),t2tb(sK4)) | ~spl43_160), 39.42/5.42 inference(avatar_component_clause,[],[f2266])). 39.42/5.42 tff(f11365,plain,( 39.42/5.42 spl43_568 | ~spl43_569 | ~spl43_156 | spl43_547), 39.42/5.42 inference(avatar_split_clause,[],[f11198,f10839,f2237,f11362,f11358])). 39.42/5.42 tff(f11358,plain,( 39.42/5.42 spl43_568 <=> mem(vertex,t2tb2(sK30(sK13)),t2tb(sK14))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_568])])). 39.42/5.42 tff(f11362,plain,( 39.42/5.42 spl43_569 <=> inv_src1(sK30(sK13),sK18,sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_569])])). 39.42/5.42 tff(f10839,plain,( 39.42/5.42 spl43_547 <=> mem(vertex,t2tb2(sK30(sK13)),t2tb(sK13))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_547])])). 39.42/5.42 tff(f11198,plain,( 39.42/5.42 ~inv_src1(sK30(sK13),sK18,sK13) | mem(vertex,t2tb2(sK30(sK13)),t2tb(sK14)) | (~spl43_156 | spl43_547)), 39.42/5.42 inference(resolution,[],[f10873,f2242])). 39.42/5.42 tff(f10873,plain,( 39.42/5.42 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK30(sK13)),t2tb(X0)) | ~inv_src1(sK30(sK13),X0,sK13)) ) | spl43_547), 39.42/5.42 inference(resolution,[],[f10840,f475])). 39.42/5.42 tff(f10840,plain,( 39.42/5.42 ~mem(vertex,t2tb2(sK30(sK13)),t2tb(sK13)) | spl43_547), 39.42/5.42 inference(avatar_component_clause,[],[f10839])). 39.42/5.42 tff(f11356,plain,( 39.42/5.42 spl43_549 | ~spl43_567 | ~spl43_11 | spl43_547), 39.42/5.42 inference(avatar_split_clause,[],[f11197,f10839,f632,f11353,f10868])). 39.42/5.42 tff(f10868,plain,( 39.42/5.42 spl43_549 <=> mem(vertex,t2tb2(sK30(sK13)),t2tb(v1))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_549])])). 39.42/5.42 tff(f11353,plain,( 39.42/5.42 spl43_567 <=> inv_src1(sK30(sK13),sK15,sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_567])])). 39.42/5.42 tff(f632,plain,( 39.42/5.42 spl43_11 <=> subset(vertex,t2tb(sK15),t2tb(v1))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_11])])). 39.42/5.42 tff(f11197,plain,( 39.42/5.42 ~inv_src1(sK30(sK13),sK15,sK13) | mem(vertex,t2tb2(sK30(sK13)),t2tb(v1)) | (~spl43_11 | spl43_547)), 39.42/5.42 inference(resolution,[],[f10873,f699])). 39.42/5.42 tff(f699,plain,( 39.42/5.42 ( ! [X1 : uni] : (~mem(vertex,X1,t2tb(sK15)) | mem(vertex,X1,t2tb(v1))) ) | ~spl43_11), 39.42/5.42 inference(resolution,[],[f634,f425])). 39.42/5.42 tff(f634,plain,( 39.42/5.42 subset(vertex,t2tb(sK15),t2tb(v1)) | ~spl43_11), 39.42/5.42 inference(avatar_component_clause,[],[f632])). 39.42/5.42 tff(f11351,plain,( 39.42/5.42 spl43_565 | ~spl43_566 | ~spl43_150 | spl43_547), 39.42/5.42 inference(avatar_split_clause,[],[f11191,f10839,f2180,f11348,f11344])). 39.42/5.42 tff(f11344,plain,( 39.42/5.42 spl43_565 <=> mem(vertex,t2tb2(sK30(sK13)),t2tb(sK7))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_565])])). 39.42/5.42 tff(f11348,plain,( 39.42/5.42 spl43_566 <=> inv_src1(sK30(sK13),sK11,sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_566])])). 39.42/5.42 tff(f11191,plain,( 39.42/5.42 ~inv_src1(sK30(sK13),sK11,sK13) | mem(vertex,t2tb2(sK30(sK13)),t2tb(sK7)) | (~spl43_150 | spl43_547)), 39.42/5.42 inference(resolution,[],[f10873,f2195])). 39.42/5.42 tff(f11342,plain,( 39.42/5.42 spl43_549 | ~spl43_564 | ~spl43_7 | spl43_547), 39.42/5.42 inference(avatar_split_clause,[],[f11186,f10839,f612,f11339,f10868])). 39.42/5.42 tff(f11339,plain,( 39.42/5.42 spl43_564 <=> inv_src1(sK30(sK13),sK7,sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_564])])). 39.42/5.42 tff(f11186,plain,( 39.42/5.42 ~inv_src1(sK30(sK13),sK7,sK13) | mem(vertex,t2tb2(sK30(sK13)),t2tb(v1)) | (~spl43_7 | spl43_547)), 39.42/5.42 inference(resolution,[],[f10873,f688])). 39.42/5.42 tff(f11337,plain,( 39.42/5.42 ~spl43_562 | spl43_563 | ~spl43_6), 39.42/5.42 inference(avatar_split_clause,[],[f4859,f604,f11335,f11331])). 39.42/5.42 tff(f11331,plain,( 39.42/5.42 spl43_562 <=> inv_src1(sK30(v1),v1,sK6)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_562])])). 39.42/5.42 tff(f11335,plain,( 39.42/5.42 spl43_563 <=> ! [X146 : $int,X145 : vertex1] : (~path1(sK1,X145,X146) | mem(vertex,t2tb2(X145),t2tb(v1)))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_563])])). 39.42/5.42 tff(f604,plain,( 39.42/5.42 spl43_6 <=> mem(vertex,t2tb2(sK1),t2tb(v1))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_6])])). 39.42/5.42 tff(f4859,plain,( 39.42/5.42 ( ! [X145 : vertex1,X146 : $int] : (~path1(sK1,X145,X146) | ~inv_src1(sK30(v1),v1,sK6) | mem(vertex,t2tb2(X145),t2tb(v1))) ) | ~spl43_6), 39.42/5.42 inference(resolution,[],[f792,f606])). 39.42/5.42 tff(f606,plain,( 39.42/5.42 mem(vertex,t2tb2(sK1),t2tb(v1)) | ~spl43_6), 39.42/5.42 inference(avatar_component_clause,[],[f604])). 39.42/5.42 tff(f11248,plain,( 39.42/5.42 ~spl43_561 | ~spl43_560 | ~spl43_384 | spl43_547), 39.42/5.42 inference(avatar_split_clause,[],[f11153,f10839,f6113,f11223,f11245])). 39.42/5.42 tff(f11245,plain,( 39.42/5.42 spl43_561 <=> inv_src1(sK23,g_succ1(sK30(sK13)),sK20)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_561])])). 39.42/5.42 tff(f11223,plain,( 39.42/5.42 spl43_560 <=> inv_src1(sK30(sK13),sK9,sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_560])])). 39.42/5.42 tff(f6113,plain,( 39.42/5.42 spl43_384 <=> ! [X31 : vertex1] : (~mem(vertex,t2tb2(X31),t2tb(sK9)) | ~inv_src1(sK23,g_succ1(X31),sK20))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_384])])). 39.42/5.42 tff(f11153,plain,( 39.42/5.42 ~inv_src1(sK30(sK13),sK9,sK13) | ~inv_src1(sK23,g_succ1(sK30(sK13)),sK20) | (~spl43_384 | spl43_547)), 39.42/5.42 inference(resolution,[],[f10873,f6114])). 39.42/5.42 tff(f6114,plain,( 39.42/5.42 ( ! [X31 : vertex1] : (~mem(vertex,t2tb2(X31),t2tb(sK9)) | ~inv_src1(sK23,g_succ1(X31),sK20)) ) | ~spl43_384), 39.42/5.42 inference(avatar_component_clause,[],[f6113])). 39.42/5.42 tff(f11226,plain,( 39.42/5.42 ~spl43_559 | ~spl43_560 | ~spl43_383 | spl43_547), 39.42/5.42 inference(avatar_split_clause,[],[f11152,f10839,f6070,f11223,f11219])). 39.42/5.42 tff(f6070,plain,( 39.42/5.42 spl43_383 <=> ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(sK9)) | ~inv_src1(sK23,g_succ1(X30),sK13))), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_383])])). 39.42/5.42 tff(f11152,plain,( 39.42/5.42 ~inv_src1(sK30(sK13),sK9,sK13) | ~inv_src1(sK23,g_succ1(sK30(sK13)),sK13) | (~spl43_383 | spl43_547)), 39.42/5.42 inference(resolution,[],[f10873,f6071])). 39.42/5.42 tff(f6071,plain,( 39.42/5.42 ( ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(sK9)) | ~inv_src1(sK23,g_succ1(X30),sK13)) ) | ~spl43_383), 39.42/5.42 inference(avatar_component_clause,[],[f6070])). 39.42/5.42 tff(f11202,plain,( 39.42/5.42 ~spl43_558 | spl43_547), 39.42/5.42 inference(avatar_split_clause,[],[f11131,f10839,f11059])). 39.42/5.42 tff(f11059,plain,( 39.42/5.42 spl43_558 <=> inv_src1(sK30(sK13),sK13,sK13)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_558])])). 39.42/5.42 tff(f11131,plain,( 39.42/5.42 ~inv_src1(sK30(sK13),sK13,sK13) | spl43_547), 39.42/5.42 inference(resolution,[],[f10873,f10840])). 39.42/5.42 tff(f11062,plain,( 39.42/5.42 ~spl43_558 | ~spl43_557 | spl43_547), 39.42/5.42 inference(avatar_split_clause,[],[f10885,f10839,f11054,f11059])). 39.42/5.42 tff(f11054,plain,( 39.42/5.42 spl43_557 <=> inv_src1(sK30(sK13),sK13,sK15)), 39.42/5.42 introduced(avatar_definition,[new_symbols(naming,[spl43_557])])). 39.42/5.42 tff(f10885,plain,( 39.42/5.42 ~inv_src1(sK30(sK13),sK13,sK15) | ~inv_src1(sK30(sK13),sK13,sK13) | spl43_547), 39.42/5.42 inference(resolution,[],[f10840,f4720])). 39.42/5.42 tff(f4720,plain,( 39.42/5.42 ( ! [X0 : vertex1,X1 : set_vertex] : (mem(vertex,t2tb2(X0),t2tb(X1)) | ~inv_src1(X0,X1,sK15) | ~inv_src1(X0,X1,sK13)) )), 39.42/5.42 inference(factoring,[],[f2027])). 39.42/5.42 tff(f2027,plain,( 39.42/5.42 ( ! [X18 : set_vertex,X19 : set_vertex,X17 : vertex1] : (mem(vertex,t2tb2(X17),t2tb(X19)) | ~inv_src1(X17,X18,sK15) | mem(vertex,t2tb2(X17),t2tb(X18)) | ~inv_src1(X17,X19,sK13)) )), 39.42/5.43 inference(resolution,[],[f863,f475])). 39.42/5.43 tff(f863,plain,( 39.42/5.43 ( ! [X4 : vertex1,X5 : set_vertex] : (~mem(vertex,t2tb2(X4),t2tb(sK13)) | mem(vertex,t2tb2(X4),t2tb(X5)) | ~inv_src1(X4,X5,sK15)) )), 39.42/5.43 inference(resolution,[],[f308,f475])). 39.42/5.43 tff(f308,plain,( 39.42/5.43 ( ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(sK15)) | ~mem(vertex,t2tb2(X30),t2tb(sK13))) )), 39.42/5.43 inference(cnf_transformation,[],[f241])). 39.42/5.43 tff(f11057,plain,( 39.42/5.43 ~spl43_556 | ~spl43_557 | spl43_547), 39.42/5.43 inference(avatar_split_clause,[],[f10884,f10839,f11054,f11050])). 39.42/5.43 tff(f11050,plain,( 39.42/5.43 spl43_556 <=> inv_src1(sK30(sK13),sK6,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_556])])). 39.42/5.43 tff(f10884,plain,( 39.42/5.43 ~inv_src1(sK30(sK13),sK13,sK15) | ~inv_src1(sK30(sK13),sK6,sK13) | spl43_547), 39.42/5.43 inference(resolution,[],[f10840,f4657])). 39.42/5.43 tff(f4657,plain,( 39.42/5.43 ( ! [X8 : vertex1,X9 : set_vertex] : (mem(vertex,t2tb2(X8),t2tb(X9)) | ~inv_src1(X8,X9,sK15) | ~inv_src1(X8,sK6,sK13)) )), 39.42/5.43 inference(resolution,[],[f2027,f280])). 39.42/5.43 tff(f11041,plain,( 39.42/5.43 ~spl43_555 | ~spl43_552 | spl43_547), 39.42/5.43 inference(avatar_split_clause,[],[f10882,f10839,f10897,f11038])). 39.42/5.43 tff(f11038,plain,( 39.42/5.43 spl43_555 <=> inv_src1(sK30(sK13),sK6,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_555])])). 39.42/5.43 tff(f10897,plain,( 39.42/5.43 spl43_552 <=> inv_src1(sK30(sK13),sK13,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_552])])). 39.42/5.43 tff(f10882,plain,( 39.42/5.43 ~inv_src1(sK30(sK13),sK13,sK9) | ~inv_src1(sK30(sK13),sK6,sK7) | spl43_547), 39.42/5.43 inference(resolution,[],[f10840,f4558])). 39.42/5.43 tff(f4558,plain,( 39.42/5.43 ( ! [X8 : vertex1,X9 : set_vertex] : (mem(vertex,t2tb2(X8),t2tb(X9)) | ~inv_src1(X8,X9,sK9) | ~inv_src1(X8,sK6,sK7)) )), 39.42/5.43 inference(resolution,[],[f1980,f280])). 39.42/5.43 tff(f11032,plain,( 39.42/5.43 ~spl43_553 | ~spl43_554 | ~spl43_329 | spl43_547), 39.42/5.43 inference(avatar_split_clause,[],[f10872,f10839,f4174,f11029,f11025])). 39.42/5.43 tff(f11025,plain,( 39.42/5.43 spl43_553 <=> inv_src1(sK30(sK13),sK9,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_553])])). 39.42/5.43 tff(f11029,plain,( 39.42/5.43 spl43_554 <=> sort1(vertex,t2tb2(sK30(sK13)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_554])])). 39.42/5.43 tff(f4174,plain,( 39.42/5.43 spl43_329 <=> ! [X1 : uni] : (mem(vertex,X1,t2tb(sK13)) | ~sort1(vertex,X1) | ~mem(vertex,X1,t2tb(sK9)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_329])])). 39.42/5.43 tff(f10872,plain,( 39.42/5.43 ~sort1(vertex,t2tb2(sK30(sK13))) | ~inv_src1(sK30(sK13),sK9,sK6) | (~spl43_329 | spl43_547)), 39.42/5.43 inference(resolution,[],[f10840,f4237])). 39.42/5.43 tff(f4237,plain,( 39.42/5.43 ( ! [X9 : vertex1] : (mem(vertex,t2tb2(X9),t2tb(sK13)) | ~sort1(vertex,t2tb2(X9)) | ~inv_src1(X9,sK9,sK6)) ) | ~spl43_329), 39.42/5.43 inference(resolution,[],[f4175,f609])). 39.42/5.43 tff(f4175,plain,( 39.42/5.43 ( ! [X1 : uni] : (~mem(vertex,X1,t2tb(sK9)) | ~sort1(vertex,X1) | mem(vertex,X1,t2tb(sK13))) ) | ~spl43_329), 39.42/5.43 inference(avatar_component_clause,[],[f4174])). 39.42/5.43 tff(f10900,plain,( 39.42/5.43 ~spl43_551 | ~spl43_552 | spl43_547), 39.42/5.43 inference(avatar_split_clause,[],[f10877,f10839,f10897,f10893])). 39.42/5.43 tff(f10893,plain,( 39.42/5.43 spl43_551 <=> inv_src1(sK30(sK13),sK7,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_551])])). 39.42/5.43 tff(f10877,plain,( 39.42/5.43 ~inv_src1(sK30(sK13),sK13,sK9) | ~inv_src1(sK30(sK13),sK7,sK6) | spl43_547), 39.42/5.43 inference(resolution,[],[f10840,f1979])). 39.42/5.43 tff(f1979,plain,( 39.42/5.43 ( ! [X16 : vertex1,X17 : set_vertex] : (mem(vertex,t2tb2(X16),t2tb(X17)) | ~inv_src1(X16,X17,sK9) | ~inv_src1(X16,sK7,sK6)) )), 39.42/5.43 inference(resolution,[],[f851,f609])). 39.42/5.43 tff(f10891,plain,( 39.42/5.43 ~spl43_550 | spl43_547), 39.42/5.43 inference(avatar_split_clause,[],[f10874,f10839,f10888])). 39.42/5.43 tff(f10888,plain,( 39.42/5.43 spl43_550 <=> inv_src1(sK30(sK13),sK13,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_550])])). 39.42/5.43 tff(f10874,plain,( 39.42/5.43 ~inv_src1(sK30(sK13),sK13,sK6) | spl43_547), 39.42/5.43 inference(resolution,[],[f10840,f609])). 39.42/5.43 tff(f10871,plain,( 39.42/5.43 spl43_549 | ~spl43_12 | ~spl43_547), 39.42/5.43 inference(avatar_split_clause,[],[f10860,f10839,f637,f10868])). 39.42/5.43 tff(f637,plain,( 39.42/5.43 spl43_12 <=> subset(vertex,t2tb(sK13),t2tb(v1))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_12])])). 39.42/5.43 tff(f10860,plain,( 39.42/5.43 mem(vertex,t2tb2(sK30(sK13)),t2tb(v1)) | (~spl43_12 | ~spl43_547)), 39.42/5.43 inference(resolution,[],[f10841,f701])). 39.42/5.43 tff(f701,plain,( 39.42/5.43 ( ! [X1 : uni] : (~mem(vertex,X1,t2tb(sK13)) | mem(vertex,X1,t2tb(v1))) ) | ~spl43_12), 39.42/5.43 inference(resolution,[],[f639,f425])). 39.42/5.43 tff(f639,plain,( 39.42/5.43 subset(vertex,t2tb(sK13),t2tb(v1)) | ~spl43_12), 39.42/5.43 inference(avatar_component_clause,[],[f637])). 39.42/5.43 tff(f10841,plain,( 39.42/5.43 mem(vertex,t2tb2(sK30(sK13)),t2tb(sK13)) | ~spl43_547), 39.42/5.43 inference(avatar_component_clause,[],[f10839])). 39.42/5.43 tff(f10866,plain,( 39.42/5.43 ~spl43_548 | ~spl43_547), 39.42/5.43 inference(avatar_split_clause,[],[f10844,f10839,f10863])). 39.42/5.43 tff(f10863,plain,( 39.42/5.43 spl43_548 <=> inv_src1(sK30(sK13),sK15,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_548])])). 39.42/5.43 tff(f10844,plain,( 39.42/5.43 ~inv_src1(sK30(sK13),sK15,sK6) | ~spl43_547), 39.42/5.43 inference(resolution,[],[f10841,f862])). 39.42/5.43 tff(f862,plain,( 39.42/5.43 ( ! [X3 : vertex1] : (~mem(vertex,t2tb2(X3),t2tb(sK13)) | ~inv_src1(X3,sK15,sK6)) )), 39.42/5.43 inference(resolution,[],[f308,f609])). 39.42/5.43 tff(f10842,plain,( 39.42/5.43 spl43_379 | spl43_379 | spl43_546 | spl43_547 | spl43_508), 39.42/5.43 inference(avatar_split_clause,[],[f3286,f9254,f10839,f10835,f6051,f6051])). 39.42/5.43 tff(f6051,plain,( 39.42/5.43 spl43_379 <=> ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~path1(X0,X1,X2) | mem(vertex,t2tb2(X1),t2tb(sK13)) | ~mem(vertex,t2tb2(X0),t2tb(sK13)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_379])])). 39.42/5.43 tff(f10835,plain,( 39.42/5.43 spl43_546 <=> mem(vertex,t2tb2(sK30(sK13)),t2tb(sK15))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_546])])). 39.42/5.43 tff(f9254,plain,( 39.42/5.43 spl43_508 <=> sK12 = sK29(sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_508])])). 39.42/5.43 tff(f3286,plain,( 39.42/5.43 ( ! [X2 : $int,X3 : vertex1,X0 : vertex1,X1 : vertex1,X4 : vertex1,X5 : $int] : (sK12 = sK29(sK13) | mem(vertex,t2tb2(sK30(sK13)),t2tb(sK13)) | mem(vertex,t2tb2(sK30(sK13)),t2tb(sK15)) | ~path1(X0,X1,X2) | ~mem(vertex,t2tb2(X0),t2tb(sK13)) | mem(vertex,t2tb2(X1),t2tb(sK13)) | ~path1(X3,X4,X5) | ~mem(vertex,t2tb2(X3),t2tb(sK13)) | mem(vertex,t2tb2(X4),t2tb(sK13))) )), 39.42/5.43 inference(resolution,[],[f1391,f397])). 39.42/5.43 tff(f397,plain,( 39.42/5.43 ( ! [X2 : vertex1,X3 : $int,X0 : set_vertex,X1 : vertex1] : (mem(vertex,t2tb2(sK29(X0)),t2tb(X0)) | ~path1(X1,X2,X3) | ~mem(vertex,t2tb2(X1),t2tb(X0)) | mem(vertex,t2tb2(X2),t2tb(X0))) )), 39.42/5.43 inference(cnf_transformation,[],[f245])). 39.42/5.43 tff(f1391,plain,( 39.42/5.43 ( ! [X16 : $int,X14 : vertex1,X15 : vertex1,X13 : set_vertex] : (~mem(vertex,t2tb2(sK29(X13)),t2tb(sK13)) | sK12 = sK29(X13) | mem(vertex,t2tb2(sK30(X13)),t2tb(sK13)) | mem(vertex,t2tb2(sK30(X13)),t2tb(sK15)) | ~path1(X14,X15,X16) | ~mem(vertex,t2tb2(X14),t2tb(X13)) | mem(vertex,t2tb2(X15),t2tb(X13))) )), 39.42/5.43 inference(resolution,[],[f311,f398])). 39.42/5.43 tff(f398,plain,( 39.42/5.43 ( ! [X2 : vertex1,X3 : $int,X0 : set_vertex,X1 : vertex1] : (mem(vertex,t2tb2(sK30(X0)),t2tb(g_succ1(sK29(X0)))) | ~path1(X1,X2,X3) | ~mem(vertex,t2tb2(X1),t2tb(X0)) | mem(vertex,t2tb2(X2),t2tb(X0))) )), 39.42/5.43 inference(cnf_transformation,[],[f245])). 39.42/5.43 tff(f311,plain,( 39.42/5.43 ( ! [X28 : vertex1,X27 : vertex1] : (~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27))) | mem(vertex,t2tb2(X28),t2tb(sK15)) | sK12 = X27 | mem(vertex,t2tb2(X28),t2tb(sK13)) | ~mem(vertex,t2tb2(X27),t2tb(sK13))) )), 39.42/5.43 inference(cnf_transformation,[],[f241])). 39.42/5.43 tff(f10711,plain,( 39.42/5.43 spl43_518 | ~spl43_545 | ~spl43_156 | ~spl43_516), 39.42/5.43 inference(avatar_split_clause,[],[f10216,f10141,f2237,f10708,f10148])). 39.42/5.43 tff(f10148,plain,( 39.42/5.43 spl43_518 <=> mem(vertex,t2tb2(sK30(sK15)),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_518])])). 39.42/5.43 tff(f10708,plain,( 39.42/5.43 spl43_545 <=> inv_src1(sK30(sK15),sK18,g_succ1(sK12))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_545])])). 39.42/5.43 tff(f10141,plain,( 39.42/5.43 spl43_516 <=> ! [X4 : set_vertex] : (mem(vertex,t2tb2(sK30(sK15)),t2tb(X4)) | ~inv_src1(sK30(sK15),X4,g_succ1(sK12)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_516])])). 39.42/5.43 tff(f10216,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK18,g_succ1(sK12)) | mem(vertex,t2tb2(sK30(sK15)),t2tb(sK14)) | (~spl43_156 | ~spl43_516)), 39.42/5.43 inference(resolution,[],[f10142,f2242])). 39.42/5.43 tff(f10142,plain,( 39.42/5.43 ( ! [X4 : set_vertex] : (mem(vertex,t2tb2(sK30(sK15)),t2tb(X4)) | ~inv_src1(sK30(sK15),X4,g_succ1(sK12))) ) | ~spl43_516), 39.42/5.43 inference(avatar_component_clause,[],[f10141])). 39.42/5.43 tff(f10706,plain,( 39.42/5.43 spl43_540 | ~spl43_544 | ~spl43_150 | ~spl43_516), 39.42/5.43 inference(avatar_split_clause,[],[f10209,f10141,f2180,f10703,f10664])). 39.42/5.43 tff(f10664,plain,( 39.42/5.43 spl43_540 <=> mem(vertex,t2tb2(sK30(sK15)),t2tb(sK7))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_540])])). 39.42/5.43 tff(f10703,plain,( 39.42/5.43 spl43_544 <=> inv_src1(sK30(sK15),sK11,g_succ1(sK12))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_544])])). 39.42/5.43 tff(f10209,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK11,g_succ1(sK12)) | mem(vertex,t2tb2(sK30(sK15)),t2tb(sK7)) | (~spl43_150 | ~spl43_516)), 39.42/5.43 inference(resolution,[],[f10142,f2195])). 39.42/5.43 tff(f10699,plain,( 39.42/5.43 spl43_538 | ~spl43_528 | ~spl43_11 | ~spl43_516), 39.42/5.43 inference(avatar_split_clause,[],[f10215,f10141,f632,f10292,f10655])). 39.42/5.43 tff(f10655,plain,( 39.42/5.43 spl43_538 <=> mem(vertex,t2tb2(sK30(sK15)),t2tb(v1))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_538])])). 39.42/5.43 tff(f10292,plain,( 39.42/5.43 spl43_528 <=> inv_src1(sK30(sK15),sK15,g_succ1(sK12))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_528])])). 39.42/5.43 tff(f10215,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK15,g_succ1(sK12)) | mem(vertex,t2tb2(sK30(sK15)),t2tb(v1)) | (~spl43_11 | ~spl43_516)), 39.42/5.43 inference(resolution,[],[f10142,f699])). 39.42/5.43 tff(f10690,plain,( 39.42/5.43 spl43_538 | ~spl43_521 | ~spl43_7 | ~spl43_516), 39.42/5.43 inference(avatar_split_clause,[],[f10204,f10141,f612,f10230,f10655])). 39.42/5.43 tff(f10230,plain,( 39.42/5.43 spl43_521 <=> inv_src1(sK30(sK15),sK7,g_succ1(sK12))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_521])])). 39.42/5.43 tff(f10204,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK7,g_succ1(sK12)) | mem(vertex,t2tb2(sK30(sK15)),t2tb(v1)) | (~spl43_7 | ~spl43_516)), 39.42/5.43 inference(resolution,[],[f10142,f688])). 39.42/5.43 tff(f10689,plain,( 39.42/5.43 spl43_518 | ~spl43_543 | ~spl43_156 | spl43_517), 39.42/5.43 inference(avatar_split_clause,[],[f10461,f10144,f2237,f10686,f10148])). 39.42/5.43 tff(f10686,plain,( 39.42/5.43 spl43_543 <=> inv_src1(sK30(sK15),sK18,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_543])])). 39.42/5.43 tff(f10144,plain,( 39.42/5.43 spl43_517 <=> mem(vertex,t2tb2(sK30(sK15)),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_517])])). 39.42/5.43 tff(f10461,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK18,sK13) | mem(vertex,t2tb2(sK30(sK15)),t2tb(sK14)) | (~spl43_156 | spl43_517)), 39.42/5.43 inference(resolution,[],[f10298,f2242])). 39.42/5.43 tff(f10298,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK30(sK15)),t2tb(X0)) | ~inv_src1(sK30(sK15),X0,sK13)) ) | spl43_517), 39.42/5.43 inference(resolution,[],[f10145,f475])). 39.42/5.43 tff(f10145,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK30(sK15)),t2tb(sK13)) | spl43_517), 39.42/5.43 inference(avatar_component_clause,[],[f10144])). 39.42/5.43 tff(f10676,plain,( 39.42/5.43 spl43_538 | ~spl43_542 | ~spl43_11 | spl43_517), 39.42/5.43 inference(avatar_split_clause,[],[f10460,f10144,f632,f10673,f10655])). 39.42/5.43 tff(f10673,plain,( 39.42/5.43 spl43_542 <=> inv_src1(sK30(sK15),sK15,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_542])])). 39.42/5.43 tff(f10460,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK15,sK13) | mem(vertex,t2tb2(sK30(sK15)),t2tb(v1)) | (~spl43_11 | spl43_517)), 39.42/5.43 inference(resolution,[],[f10298,f699])). 39.42/5.43 tff(f10671,plain,( 39.42/5.43 spl43_540 | ~spl43_541 | ~spl43_150 | spl43_517), 39.42/5.43 inference(avatar_split_clause,[],[f10454,f10144,f2180,f10668,f10664])). 39.42/5.43 tff(f10668,plain,( 39.42/5.43 spl43_541 <=> inv_src1(sK30(sK15),sK11,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_541])])). 39.42/5.43 tff(f10454,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK11,sK13) | mem(vertex,t2tb2(sK30(sK15)),t2tb(sK7)) | (~spl43_150 | spl43_517)), 39.42/5.43 inference(resolution,[],[f10298,f2195])). 39.42/5.43 tff(f10662,plain,( 39.42/5.43 spl43_538 | ~spl43_539 | ~spl43_7 | spl43_517), 39.42/5.43 inference(avatar_split_clause,[],[f10449,f10144,f612,f10659,f10655])). 39.42/5.43 tff(f10659,plain,( 39.42/5.43 spl43_539 <=> inv_src1(sK30(sK15),sK7,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_539])])). 39.42/5.43 tff(f10449,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK7,sK13) | mem(vertex,t2tb2(sK30(sK15)),t2tb(v1)) | (~spl43_7 | spl43_517)), 39.42/5.43 inference(resolution,[],[f10298,f688])). 39.42/5.43 tff(f10561,plain,( 39.42/5.43 ~spl43_537 | ~spl43_536 | ~spl43_385 | spl43_517), 39.42/5.43 inference(avatar_split_clause,[],[f10419,f10144,f6156,f10553,f10558])). 39.42/5.43 tff(f10553,plain,( 39.42/5.43 spl43_536 <=> inv_src1(sK30(sK15),sK9,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_536])])). 39.42/5.43 tff(f6156,plain,( 39.42/5.43 spl43_385 <=> ! [X32 : vertex1] : (~mem(vertex,t2tb2(X32),t2tb(sK9)) | ~inv_src1(sK19,g_succ1(X32),sK15))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_385])])). 39.42/5.43 tff(f10419,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK9,sK13) | ~inv_src1(sK19,g_succ1(sK30(sK15)),sK15) | (~spl43_385 | spl43_517)), 39.42/5.43 inference(resolution,[],[f10298,f6157])). 39.42/5.43 tff(f6157,plain,( 39.42/5.43 ( ! [X32 : vertex1] : (~mem(vertex,t2tb2(X32),t2tb(sK9)) | ~inv_src1(sK19,g_succ1(X32),sK15)) ) | ~spl43_385), 39.42/5.43 inference(avatar_component_clause,[],[f6156])). 39.42/5.43 tff(f10556,plain,( 39.42/5.43 ~spl43_526 | ~spl43_536 | ~spl43_384 | spl43_517), 39.42/5.43 inference(avatar_split_clause,[],[f10418,f10144,f6113,f10553,f10275])). 39.42/5.43 tff(f10418,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK9,sK13) | ~inv_src1(sK23,g_succ1(sK30(sK15)),sK20) | (~spl43_384 | spl43_517)), 39.42/5.43 inference(resolution,[],[f10298,f6114])). 39.42/5.43 tff(f10465,plain,( 39.42/5.43 ~spl43_535 | spl43_517), 39.42/5.43 inference(avatar_split_clause,[],[f10397,f10144,f10381])). 39.42/5.43 tff(f10381,plain,( 39.42/5.43 spl43_535 <=> inv_src1(sK30(sK15),sK13,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_535])])). 39.42/5.43 tff(f10397,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK13,sK13) | spl43_517), 39.42/5.43 inference(resolution,[],[f10298,f10145])). 39.42/5.43 tff(f10384,plain,( 39.42/5.43 ~spl43_535 | ~spl43_534 | spl43_517), 39.42/5.43 inference(avatar_split_clause,[],[f10310,f10144,f10376,f10381])). 39.42/5.43 tff(f10376,plain,( 39.42/5.43 spl43_534 <=> inv_src1(sK30(sK15),sK13,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_534])])). 39.42/5.43 tff(f10310,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK13,sK15) | ~inv_src1(sK30(sK15),sK13,sK13) | spl43_517), 39.42/5.43 inference(resolution,[],[f10145,f4720])). 39.42/5.43 tff(f10379,plain,( 39.42/5.43 ~spl43_533 | ~spl43_534 | spl43_517), 39.42/5.43 inference(avatar_split_clause,[],[f10309,f10144,f10376,f10372])). 39.42/5.43 tff(f10372,plain,( 39.42/5.43 spl43_533 <=> inv_src1(sK30(sK15),sK6,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_533])])). 39.42/5.43 tff(f10309,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK13,sK15) | ~inv_src1(sK30(sK15),sK6,sK13) | spl43_517), 39.42/5.43 inference(resolution,[],[f10145,f4657])). 39.42/5.43 tff(f10350,plain,( 39.42/5.43 ~spl43_532 | ~spl43_531 | spl43_517), 39.42/5.43 inference(avatar_split_clause,[],[f10307,f10144,f10323,f10347])). 39.42/5.43 tff(f10347,plain,( 39.42/5.43 spl43_532 <=> inv_src1(sK30(sK15),sK6,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_532])])). 39.42/5.43 tff(f10323,plain,( 39.42/5.43 spl43_531 <=> inv_src1(sK30(sK15),sK13,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_531])])). 39.42/5.43 tff(f10307,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK13,sK9) | ~inv_src1(sK30(sK15),sK6,sK7) | spl43_517), 39.42/5.43 inference(resolution,[],[f10145,f4558])). 39.42/5.43 tff(f10326,plain,( 39.42/5.43 ~spl43_530 | ~spl43_531 | spl43_517), 39.42/5.43 inference(avatar_split_clause,[],[f10302,f10144,f10323,f10319])). 39.42/5.43 tff(f10319,plain,( 39.42/5.43 spl43_530 <=> inv_src1(sK30(sK15),sK7,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_530])])). 39.42/5.43 tff(f10302,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK13,sK9) | ~inv_src1(sK30(sK15),sK7,sK6) | spl43_517), 39.42/5.43 inference(resolution,[],[f10145,f1979])). 39.42/5.43 tff(f10317,plain,( 39.42/5.43 ~spl43_523 | ~spl43_516 | spl43_517), 39.42/5.43 inference(avatar_split_clause,[],[f10297,f10144,f10141,f10241])). 39.42/5.43 tff(f10241,plain,( 39.42/5.43 spl43_523 <=> inv_src1(sK30(sK15),sK13,g_succ1(sK12))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_523])])). 39.42/5.43 tff(f10297,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK13,g_succ1(sK12)) | (~spl43_516 | spl43_517)), 39.42/5.43 inference(resolution,[],[f10145,f10142])). 39.42/5.43 tff(f10316,plain,( 39.42/5.43 ~spl43_529 | spl43_517), 39.42/5.43 inference(avatar_split_clause,[],[f10299,f10144,f10313])). 39.42/5.43 tff(f10313,plain,( 39.42/5.43 spl43_529 <=> inv_src1(sK30(sK15),sK13,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_529])])). 39.42/5.43 tff(f10299,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK13,sK6) | spl43_517), 39.42/5.43 inference(resolution,[],[f10145,f609])). 39.42/5.43 tff(f10295,plain,( 39.42/5.43 ~spl43_517 | ~spl43_528 | ~spl43_516), 39.42/5.43 inference(avatar_split_clause,[],[f10191,f10141,f10292,f10144])). 39.42/5.43 tff(f10191,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK15,g_succ1(sK12)) | ~mem(vertex,t2tb2(sK30(sK15)),t2tb(sK13)) | ~spl43_516), 39.42/5.43 inference(resolution,[],[f10142,f308])). 39.42/5.43 tff(f10290,plain,( 39.42/5.43 spl43_379 | spl43_527 | spl43_508), 39.42/5.43 inference(avatar_split_clause,[],[f3034,f9254,f10288,f6051])). 39.42/5.43 tff(f10288,plain,( 39.42/5.43 spl43_527 <=> ! [X32 : vertex1,X33 : set_vertex] : (mem(vertex,t2tb2(X32),t2tb(sK13)) | ~inv_src1(X32,X33,g_succ1(sK29(sK13))) | mem(vertex,t2tb2(X32),t2tb(X33)) | mem(vertex,t2tb2(X32),t2tb(sK15)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_527])])). 39.42/5.43 tff(f3034,plain,( 39.42/5.43 ( ! [X36 : $int,X34 : vertex1,X35 : vertex1,X32 : vertex1,X33 : set_vertex] : (sK12 = sK29(sK13) | mem(vertex,t2tb2(X32),t2tb(sK13)) | mem(vertex,t2tb2(X32),t2tb(sK15)) | mem(vertex,t2tb2(X32),t2tb(X33)) | ~inv_src1(X32,X33,g_succ1(sK29(sK13))) | ~path1(X34,X35,X36) | ~mem(vertex,t2tb2(X34),t2tb(sK13)) | mem(vertex,t2tb2(X35),t2tb(sK13))) )), 39.42/5.43 inference(resolution,[],[f1402,f397])). 39.42/5.43 tff(f1402,plain,( 39.42/5.43 ( ! [X38 : vertex1,X39 : set_vertex,X37 : vertex1] : (~mem(vertex,t2tb2(X38),t2tb(sK13)) | sK12 = X38 | mem(vertex,t2tb2(X37),t2tb(sK13)) | mem(vertex,t2tb2(X37),t2tb(sK15)) | mem(vertex,t2tb2(X37),t2tb(X39)) | ~inv_src1(X37,X39,g_succ1(X38))) )), 39.42/5.43 inference(resolution,[],[f311,f475])). 39.42/5.43 tff(f10278,plain,( 39.42/5.43 ~spl43_526 | ~spl43_525 | ~spl43_384 | ~spl43_516), 39.42/5.43 inference(avatar_split_clause,[],[f10173,f10141,f6113,f10270,f10275])). 39.42/5.43 tff(f10270,plain,( 39.42/5.43 spl43_525 <=> inv_src1(sK30(sK15),sK9,g_succ1(sK12))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_525])])). 39.42/5.43 tff(f10173,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK9,g_succ1(sK12)) | ~inv_src1(sK23,g_succ1(sK30(sK15)),sK20) | (~spl43_384 | ~spl43_516)), 39.42/5.43 inference(resolution,[],[f10142,f6114])). 39.42/5.43 tff(f10273,plain,( 39.42/5.43 ~spl43_524 | ~spl43_525 | ~spl43_383 | ~spl43_516), 39.42/5.43 inference(avatar_split_clause,[],[f10172,f10141,f6070,f10270,f10266])). 39.42/5.43 tff(f10172,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK9,g_succ1(sK12)) | ~inv_src1(sK23,g_succ1(sK30(sK15)),sK13) | (~spl43_383 | ~spl43_516)), 39.42/5.43 inference(resolution,[],[f10142,f6071])). 39.42/5.43 tff(f10244,plain,( 39.42/5.43 ~spl43_522 | ~spl43_523 | ~spl43_516), 39.42/5.43 inference(avatar_split_clause,[],[f10177,f10141,f10241,f10237])). 39.42/5.43 tff(f10237,plain,( 39.42/5.43 spl43_522 <=> inv_src1(sK30(sK15),sK15,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_522])])). 39.42/5.43 tff(f10177,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK13,g_succ1(sK12)) | ~inv_src1(sK30(sK15),sK15,sK6) | ~spl43_516), 39.42/5.43 inference(resolution,[],[f10142,f862])). 39.42/5.43 tff(f10233,plain,( 39.42/5.43 ~spl43_520 | ~spl43_521 | ~spl43_516), 39.42/5.43 inference(avatar_split_clause,[],[f10158,f10141,f10230,f10226])). 39.42/5.43 tff(f10226,plain,( 39.42/5.43 spl43_520 <=> inv_src1(sK30(sK15),sK9,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_520])])). 39.42/5.43 tff(f10158,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK7,g_succ1(sK12)) | ~inv_src1(sK30(sK15),sK9,sK6) | ~spl43_516), 39.42/5.43 inference(resolution,[],[f10142,f850])). 39.42/5.43 tff(f850,plain,( 39.42/5.43 ( ! [X3 : vertex1] : (~mem(vertex,t2tb2(X3),t2tb(sK7)) | ~inv_src1(X3,sK9,sK6)) )), 39.42/5.43 inference(resolution,[],[f289,f609])). 39.42/5.43 tff(f10224,plain,( 39.42/5.43 ~spl43_519 | ~spl43_516), 39.42/5.43 inference(avatar_split_clause,[],[f10157,f10141,f10221])). 39.42/5.43 tff(f10221,plain,( 39.42/5.43 spl43_519 <=> inv_src1(sK30(sK15),sK6,g_succ1(sK12))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_519])])). 39.42/5.43 tff(f10157,plain,( 39.42/5.43 ~inv_src1(sK30(sK15),sK6,g_succ1(sK12)) | ~spl43_516), 39.42/5.43 inference(resolution,[],[f10142,f280])). 39.42/5.43 tff(f10151,plain,( 39.42/5.43 spl43_204 | spl43_516 | spl43_517 | spl43_518 | ~spl43_105), 39.42/5.43 inference(avatar_split_clause,[],[f2893,f1447,f10148,f10144,f10141,f2657])). 39.42/5.43 tff(f2657,plain,( 39.42/5.43 spl43_204 <=> ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~path1(X0,X1,X2) | mem(vertex,t2tb2(X1),t2tb(sK15)) | ~mem(vertex,t2tb2(X0),t2tb(sK15)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_204])])). 39.42/5.43 tff(f1447,plain,( 39.42/5.43 spl43_105 <=> ! [X28 : vertex1] : (mem(vertex,t2tb2(X28),t2tb(sK13)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(sK12))) | mem(vertex,t2tb2(X28),t2tb(sK14)) | mem(vertex,t2tb2(X28),t2tb(sK15)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_105])])). 39.42/5.43 tff(f2893,plain,( 39.42/5.43 ( ! [X6 : vertex1,X7 : $int,X4 : set_vertex,X5 : vertex1] : (mem(vertex,t2tb2(sK30(sK15)),t2tb(sK14)) | mem(vertex,t2tb2(sK30(sK15)),t2tb(sK13)) | mem(vertex,t2tb2(sK30(sK15)),t2tb(X4)) | ~inv_src1(sK30(sK15),X4,g_succ1(sK12)) | ~path1(X5,X6,X7) | ~mem(vertex,t2tb2(X5),t2tb(sK15)) | mem(vertex,t2tb2(X6),t2tb(sK15))) ) | ~spl43_105), 39.42/5.43 inference(resolution,[],[f2374,f399])). 39.42/5.43 tff(f2374,plain,( 39.42/5.43 ( ! [X6 : set_vertex,X5 : vertex1] : (mem(vertex,t2tb2(X5),t2tb(sK15)) | mem(vertex,t2tb2(X5),t2tb(sK14)) | mem(vertex,t2tb2(X5),t2tb(sK13)) | mem(vertex,t2tb2(X5),t2tb(X6)) | ~inv_src1(X5,X6,g_succ1(sK12))) ) | ~spl43_105), 39.42/5.43 inference(resolution,[],[f1448,f475])). 39.42/5.43 tff(f1448,plain,( 39.42/5.43 ( ! [X28 : vertex1] : (~mem(vertex,t2tb2(X28),t2tb(g_succ1(sK12))) | mem(vertex,t2tb2(X28),t2tb(sK13)) | mem(vertex,t2tb2(X28),t2tb(sK14)) | mem(vertex,t2tb2(X28),t2tb(sK15))) ) | ~spl43_105), 39.42/5.43 inference(avatar_component_clause,[],[f1447])). 39.42/5.43 tff(f9858,plain,( 39.42/5.43 ~spl43_515 | ~spl43_514 | spl43_364 | ~spl43_385), 39.42/5.43 inference(avatar_split_clause,[],[f9785,f6156,f5529,f9841,f9855])). 39.42/5.43 tff(f9841,plain,( 39.42/5.43 spl43_514 <=> inv_src1(sK30(g_succ1(sK12)),sK9,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_514])])). 39.42/5.43 tff(f5529,plain,( 39.42/5.43 spl43_364 <=> mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_364])])). 39.42/5.43 tff(f9785,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK9,sK13) | ~inv_src1(sK19,g_succ1(sK30(g_succ1(sK12))),sK15) | (spl43_364 | ~spl43_385)), 39.42/5.43 inference(resolution,[],[f5538,f6157])). 39.42/5.43 tff(f5538,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(X0)) | ~inv_src1(sK30(g_succ1(sK12)),X0,sK13)) ) | spl43_364), 39.42/5.43 inference(resolution,[],[f5531,f475])). 39.42/5.43 tff(f5531,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(sK13)) | spl43_364), 39.42/5.43 inference(avatar_component_clause,[],[f5529])). 39.42/5.43 tff(f9844,plain,( 39.42/5.43 ~spl43_513 | ~spl43_514 | spl43_364 | ~spl43_384), 39.42/5.43 inference(avatar_split_clause,[],[f9784,f6113,f5529,f9841,f9755])). 39.42/5.43 tff(f9784,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK9,sK13) | ~inv_src1(sK23,g_succ1(sK30(g_succ1(sK12))),sK20) | (spl43_364 | ~spl43_384)), 39.42/5.43 inference(resolution,[],[f5538,f6114])). 39.42/5.43 tff(f9839,plain,( 39.42/5.43 ~spl43_403 | spl43_214 | spl43_364), 39.42/5.43 inference(avatar_split_clause,[],[f9766,f5529,f2773,f6634])). 39.42/5.43 tff(f6634,plain,( 39.42/5.43 spl43_403 <=> inv_src1(sK30(g_succ1(sK12)),sK14,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_403])])). 39.42/5.43 tff(f9766,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK14,sK13) | (spl43_214 | spl43_364)), 39.42/5.43 inference(resolution,[],[f5538,f2775])). 39.42/5.43 tff(f9830,plain,( 39.42/5.43 ~spl43_400 | spl43_361 | spl43_364), 39.42/5.43 inference(avatar_split_clause,[],[f9764,f5529,f5503,f6618])). 39.42/5.43 tff(f6618,plain,( 39.42/5.43 spl43_400 <=> inv_src1(sK30(g_succ1(sK12)),sK7,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_400])])). 39.42/5.43 tff(f9764,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK7,sK13) | (spl43_361 | spl43_364)), 39.42/5.43 inference(resolution,[],[f5538,f5505])). 39.42/5.43 tff(f9758,plain,( 39.42/5.43 ~spl43_513 | ~spl43_512 | spl43_361 | ~spl43_384), 39.42/5.43 inference(avatar_split_clause,[],[f9532,f6113,f5503,f9667,f9755])). 39.42/5.43 tff(f9667,plain,( 39.42/5.43 spl43_512 <=> inv_src1(sK30(g_succ1(sK12)),sK9,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_512])])). 39.42/5.43 tff(f9532,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK9,sK7) | ~inv_src1(sK23,g_succ1(sK30(g_succ1(sK12))),sK20) | (spl43_361 | ~spl43_384)), 39.42/5.43 inference(resolution,[],[f5513,f6114])). 39.42/5.43 tff(f5513,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(X0)) | ~inv_src1(sK30(g_succ1(sK12)),X0,sK7)) ) | spl43_361), 39.42/5.43 inference(resolution,[],[f5505,f475])). 39.42/5.43 tff(f9670,plain,( 39.42/5.43 ~spl43_511 | ~spl43_512 | spl43_361 | ~spl43_383), 39.42/5.43 inference(avatar_split_clause,[],[f9531,f6070,f5503,f9667,f9663])). 39.42/5.43 tff(f9531,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK9,sK7) | ~inv_src1(sK23,g_succ1(sK30(g_succ1(sK12))),sK13) | (spl43_361 | ~spl43_383)), 39.42/5.43 inference(resolution,[],[f5513,f6071])). 39.42/5.43 tff(f9579,plain,( 39.42/5.43 ~spl43_394 | spl43_214 | spl43_361), 39.42/5.43 inference(avatar_split_clause,[],[f9514,f5503,f2773,f6406])). 39.42/5.43 tff(f6406,plain,( 39.42/5.43 spl43_394 <=> inv_src1(sK30(g_succ1(sK12)),sK14,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_394])])). 39.42/5.43 tff(f9514,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK14,sK7) | (spl43_214 | spl43_361)), 39.42/5.43 inference(resolution,[],[f5513,f2775])). 39.42/5.43 tff(f9578,plain,( 39.42/5.43 ~spl43_390 | spl43_361), 39.42/5.43 inference(avatar_split_clause,[],[f9512,f5503,f6388])). 39.42/5.43 tff(f6388,plain,( 39.42/5.43 spl43_390 <=> inv_src1(sK30(g_succ1(sK12)),sK7,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_390])])). 39.42/5.43 tff(f9512,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK7,sK7) | spl43_361), 39.42/5.43 inference(resolution,[],[f5513,f5505])). 39.42/5.43 tff(f9265,plain,( 39.42/5.43 ~spl43_510 | spl43_507 | ~spl43_159 | spl43_89 | ~spl43_333), 39.42/5.43 inference(avatar_split_clause,[],[f4271,f4258,f1291,f2262,f9249,f9262])). 39.42/5.43 tff(f9262,plain,( 39.42/5.43 spl43_510 <=> inv_src1(sK1,sK15,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_510])])). 39.42/5.43 tff(f9249,plain,( 39.42/5.43 spl43_507 <=> mem(vertex,t2tb2(sK1),t2tb(sK20))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_507])])). 39.42/5.43 tff(f2262,plain,( 39.42/5.43 spl43_159 <=> sort1(vertex,t2tb2(sK1))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_159])])). 39.42/5.43 tff(f1291,plain,( 39.42/5.43 spl43_89 <=> mem(vertex,t2tb2(sK1),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_89])])). 39.42/5.43 tff(f4271,plain,( 39.42/5.43 ~sort1(vertex,t2tb2(sK1)) | mem(vertex,t2tb2(sK1),t2tb(sK20)) | ~inv_src1(sK1,sK15,sK13) | (spl43_89 | ~spl43_333)), 39.42/5.43 inference(resolution,[],[f4259,f1300])). 39.42/5.43 tff(f1300,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK1),t2tb(X0)) | ~inv_src1(sK1,X0,sK13)) ) | spl43_89), 39.42/5.43 inference(resolution,[],[f1293,f475])). 39.42/5.43 tff(f1293,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK1),t2tb(sK13)) | spl43_89), 39.42/5.43 inference(avatar_component_clause,[],[f1291])). 39.42/5.43 tff(f9260,plain,( 39.42/5.43 spl43_379 | spl43_508 | spl43_509), 39.42/5.43 inference(avatar_split_clause,[],[f2836,f9258,f9254,f6051])). 39.42/5.43 tff(f9258,plain,( 39.42/5.43 spl43_509 <=> ! [X15 : uni] : (mem(vertex,X15,t2tb(sK15)) | ~sort1(vertex,X15) | ~mem(vertex,X15,t2tb(g_succ1(sK29(sK13)))) | mem(vertex,X15,t2tb(sK13)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_509])])). 39.42/5.43 tff(f2836,plain,( 39.42/5.43 ( ! [X18 : $int,X16 : vertex1,X17 : vertex1,X15 : uni] : (mem(vertex,X15,t2tb(sK15)) | sK12 = sK29(sK13) | mem(vertex,X15,t2tb(sK13)) | ~mem(vertex,X15,t2tb(g_succ1(sK29(sK13)))) | ~sort1(vertex,X15) | ~path1(X16,X17,X18) | ~mem(vertex,t2tb2(X16),t2tb(sK13)) | mem(vertex,t2tb2(X17),t2tb(sK13))) )), 39.42/5.43 inference(resolution,[],[f1403,f397])). 39.42/5.43 tff(f1403,plain,( 39.42/5.43 ( ! [X0 : uni,X1 : vertex1] : (~mem(vertex,t2tb2(X1),t2tb(sK13)) | mem(vertex,X0,t2tb(sK15)) | sK12 = X1 | mem(vertex,X0,t2tb(sK13)) | ~mem(vertex,X0,t2tb(g_succ1(X1))) | ~sort1(vertex,X0)) )), 39.42/5.43 inference(superposition,[],[f311,f395])). 39.42/5.43 tff(f395,plain,( 39.42/5.43 ( ! [X0 : uni] : (t2tb2(tb2t2(X0)) = X0 | ~sort1(vertex,X0)) )), 39.42/5.43 inference(cnf_transformation,[],[f170])). 39.42/5.43 tff(f170,plain,( 39.42/5.43 ! [X0 : uni] : (t2tb2(tb2t2(X0)) = X0 | ~sort1(vertex,X0))), 39.42/5.43 inference(ennf_transformation,[],[f109])). 39.42/5.43 tff(f109,plain,( 39.42/5.43 ! [X0 : uni] : (sort1(vertex,X0) => t2tb2(tb2t2(X0)) = X0)), 39.42/5.43 inference(rectify,[],[f35])). 39.42/5.43 tff(f35,axiom,( 39.42/5.43 ! [X5 : uni] : (sort1(vertex,X5) => t2tb2(tb2t2(X5)) = X5)), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2)). 39.42/5.43 tff(f9252,plain,( 39.42/5.43 ~spl43_506 | spl43_507 | ~spl43_159 | spl43_93 | ~spl43_333), 39.42/5.43 inference(avatar_split_clause,[],[f4270,f4258,f1313,f2262,f9249,f9245])). 39.42/5.43 tff(f9245,plain,( 39.42/5.43 spl43_506 <=> inv_src1(sK1,sK15,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_506])])). 39.42/5.43 tff(f1313,plain,( 39.42/5.43 spl43_93 <=> mem(vertex,t2tb2(sK1),t2tb(sK9))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_93])])). 39.42/5.43 tff(f4270,plain,( 39.42/5.43 ~sort1(vertex,t2tb2(sK1)) | mem(vertex,t2tb2(sK1),t2tb(sK20)) | ~inv_src1(sK1,sK15,sK9) | (spl43_93 | ~spl43_333)), 39.42/5.43 inference(resolution,[],[f4259,f1318])). 39.42/5.43 tff(f1318,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK1),t2tb(X0)) | ~inv_src1(sK1,X0,sK9)) ) | spl43_93), 39.42/5.43 inference(resolution,[],[f1315,f475])). 39.42/5.43 tff(f1315,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK1),t2tb(sK9)) | spl43_93), 39.42/5.43 inference(avatar_component_clause,[],[f1313])). 39.42/5.43 tff(f9243,plain,( 39.42/5.43 spl43_214 | ~spl43_505 | ~spl43_156 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f3904,f2773,f2237,f9240,f2773])). 39.42/5.43 tff(f9240,plain,( 39.42/5.43 spl43_505 <=> inv_src1(sK30(g_succ1(sK12)),sK18,sK14)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_505])])). 39.42/5.43 tff(f3904,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK18,sK14) | mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(sK14)) | (~spl43_156 | spl43_214)), 39.42/5.43 inference(resolution,[],[f2778,f2242])). 39.42/5.43 tff(f2778,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(X0)) | ~inv_src1(sK30(g_succ1(sK12)),X0,sK14)) ) | spl43_214), 39.42/5.43 inference(resolution,[],[f2775,f475])). 39.42/5.43 tff(f9230,plain,( 39.42/5.43 spl43_361 | ~spl43_504 | ~spl43_150 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f3900,f2773,f2180,f9227,f5503])). 39.42/5.43 tff(f9227,plain,( 39.42/5.43 spl43_504 <=> inv_src1(sK30(g_succ1(sK12)),sK11,sK14)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_504])])). 39.42/5.43 tff(f3900,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK11,sK14) | mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(sK7)) | (~spl43_150 | spl43_214)), 39.42/5.43 inference(resolution,[],[f2778,f2195])). 39.42/5.43 tff(f9129,plain,( 39.42/5.43 spl43_503 | ~spl43_11 | ~spl43_500), 39.42/5.43 inference(avatar_split_clause,[],[f9053,f9037,f632,f9126])). 39.42/5.43 tff(f9126,plain,( 39.42/5.43 spl43_503 <=> mem(vertex,sK31(vertex,t2tb(g_succ1(sK12))),t2tb(v1))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_503])])). 39.42/5.43 tff(f9037,plain,( 39.42/5.43 spl43_500 <=> mem(vertex,sK31(vertex,t2tb(g_succ1(sK12))),t2tb(sK15))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_500])])). 39.42/5.43 tff(f9053,plain,( 39.42/5.43 mem(vertex,sK31(vertex,t2tb(g_succ1(sK12))),t2tb(v1)) | (~spl43_11 | ~spl43_500)), 39.42/5.43 inference(resolution,[],[f9039,f699])). 39.42/5.43 tff(f9039,plain,( 39.42/5.43 mem(vertex,sK31(vertex,t2tb(g_succ1(sK12))),t2tb(sK15)) | ~spl43_500), 39.42/5.43 inference(avatar_component_clause,[],[f9037])). 39.42/5.43 tff(f9050,plain,( 39.42/5.43 spl43_120 | spl43_499), 39.42/5.43 inference(avatar_split_clause,[],[f9049,f9033,f1578])). 39.42/5.43 tff(f1578,plain,( 39.42/5.43 spl43_120 <=> is_empty(vertex,t2tb(g_succ1(sK12)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_120])])). 39.42/5.43 tff(f9033,plain,( 39.42/5.43 spl43_499 <=> sort1(vertex,sK31(vertex,t2tb(g_succ1(sK12))))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_499])])). 39.42/5.43 tff(f9049,plain,( 39.42/5.43 is_empty(vertex,t2tb(g_succ1(sK12))) | spl43_499), 39.42/5.43 inference(resolution,[],[f9035,f406])). 39.42/5.43 tff(f406,plain,( 39.42/5.43 ( ! [X0 : ty,X1 : uni] : (sort1(X0,sK31(X0,X1)) | is_empty(X0,X1)) )), 39.42/5.43 inference(cnf_transformation,[],[f247])). 39.42/5.43 tff(f9035,plain,( 39.42/5.43 ~sort1(vertex,sK31(vertex,t2tb(g_succ1(sK12)))) | spl43_499), 39.42/5.43 inference(avatar_component_clause,[],[f9033])). 39.42/5.43 tff(f9048,plain,( 39.42/5.43 spl43_120 | ~spl43_499 | spl43_500 | spl43_501 | spl43_502 | ~spl43_105), 39.42/5.43 inference(avatar_split_clause,[],[f2691,f1447,f9045,f9041,f9037,f9033,f1578])). 39.42/5.43 tff(f9041,plain,( 39.42/5.43 spl43_501 <=> mem(vertex,sK31(vertex,t2tb(g_succ1(sK12))),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_501])])). 39.42/5.43 tff(f9045,plain,( 39.42/5.43 spl43_502 <=> mem(vertex,sK31(vertex,t2tb(g_succ1(sK12))),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_502])])). 39.42/5.43 tff(f2691,plain,( 39.42/5.43 mem(vertex,sK31(vertex,t2tb(g_succ1(sK12))),t2tb(sK13)) | mem(vertex,sK31(vertex,t2tb(g_succ1(sK12))),t2tb(sK14)) | mem(vertex,sK31(vertex,t2tb(g_succ1(sK12))),t2tb(sK15)) | ~sort1(vertex,sK31(vertex,t2tb(g_succ1(sK12)))) | is_empty(vertex,t2tb(g_succ1(sK12))) | ~spl43_105), 39.42/5.43 inference(resolution,[],[f2376,f407])). 39.42/5.43 tff(f407,plain,( 39.42/5.43 ( ! [X0 : ty,X1 : uni] : (mem(X0,sK31(X0,X1),X1) | is_empty(X0,X1)) )), 39.42/5.43 inference(cnf_transformation,[],[f247])). 39.42/5.43 tff(f2376,plain,( 39.42/5.43 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(g_succ1(sK12))) | mem(vertex,X0,t2tb(sK13)) | mem(vertex,X0,t2tb(sK14)) | mem(vertex,X0,t2tb(sK15)) | ~sort1(vertex,X0)) ) | ~spl43_105), 39.42/5.43 inference(superposition,[],[f1448,f395])). 39.42/5.43 tff(f9030,plain,( 39.42/5.43 spl43_498 | ~spl43_11 | ~spl43_495), 39.42/5.43 inference(avatar_split_clause,[],[f9024,f9008,f632,f9027])). 39.42/5.43 tff(f9027,plain,( 39.42/5.43 spl43_498 <=> mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(v1))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_498])])). 39.42/5.43 tff(f9008,plain,( 39.42/5.43 spl43_495 <=> mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(sK15))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_495])])). 39.42/5.43 tff(f9024,plain,( 39.42/5.43 mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(v1)) | (~spl43_11 | ~spl43_495)), 39.42/5.43 inference(resolution,[],[f9010,f699])). 39.42/5.43 tff(f9010,plain,( 39.42/5.43 mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(sK15)) | ~spl43_495), 39.42/5.43 inference(avatar_component_clause,[],[f9008])). 39.42/5.43 tff(f9021,plain,( 39.42/5.43 spl43_494), 39.42/5.43 inference(avatar_contradiction_clause,[],[f9020])). 39.42/5.43 tff(f9020,plain,( 39.42/5.43 $false | spl43_494), 39.42/5.43 inference(resolution,[],[f9006,f404])). 39.42/5.43 tff(f404,plain,( 39.42/5.43 ( ! [X0 : ty,X1 : uni] : (sort1(X0,choose(X0,X1))) )), 39.42/5.43 inference(cnf_transformation,[],[f116])). 39.42/5.43 tff(f116,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni] : sort1(X0,choose(X0,X1))), 39.42/5.43 inference(rectify,[],[f21])). 39.42/5.43 tff(f21,axiom,( 39.42/5.43 ! [X0 : ty,X3 : uni] : sort1(X0,choose(X0,X3))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choose_sort1)). 39.42/5.43 tff(f9006,plain,( 39.42/5.43 ~sort1(vertex,choose(vertex,t2tb(g_succ1(sK12)))) | spl43_494), 39.42/5.43 inference(avatar_component_clause,[],[f9004])). 39.42/5.43 tff(f9004,plain,( 39.42/5.43 spl43_494 <=> sort1(vertex,choose(vertex,t2tb(g_succ1(sK12))))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_494])])). 39.42/5.43 tff(f9019,plain,( 39.42/5.43 spl43_120 | ~spl43_494 | spl43_495 | spl43_496 | spl43_497 | ~spl43_105), 39.42/5.43 inference(avatar_split_clause,[],[f2672,f1447,f9016,f9012,f9008,f9004,f1578])). 39.42/5.43 tff(f9012,plain,( 39.42/5.43 spl43_496 <=> mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_496])])). 39.42/5.43 tff(f9016,plain,( 39.42/5.43 spl43_497 <=> mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_497])])). 39.42/5.43 tff(f2672,plain,( 39.42/5.43 mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(sK13)) | mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(sK14)) | mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(sK15)) | ~sort1(vertex,choose(vertex,t2tb(g_succ1(sK12)))) | is_empty(vertex,t2tb(g_succ1(sK12))) | ~spl43_105), 39.42/5.43 inference(resolution,[],[f2376,f409])). 39.42/5.43 tff(f409,plain,( 39.42/5.43 ( ! [X0 : ty,X1 : uni] : (mem(X0,choose(X0,X1),X1) | is_empty(X0,X1)) )), 39.42/5.43 inference(cnf_transformation,[],[f174])). 39.42/5.43 tff(f174,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni] : (mem(X0,choose(X0,X1),X1) | is_empty(X0,X1))), 39.42/5.43 inference(ennf_transformation,[],[f119])). 39.42/5.43 tff(f119,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni] : (~is_empty(X0,X1) => mem(X0,choose(X0,X1),X1))), 39.42/5.43 inference(rectify,[],[f76])). 39.42/5.43 tff(f76,axiom,( 39.42/5.43 ! [X0 : ty,X4 : uni] : (~is_empty(X0,X4) => mem(X0,choose(X0,X4),X4))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choose_def)). 39.42/5.43 tff(f8887,plain,( 39.42/5.43 spl43_493 | ~spl43_399), 39.42/5.43 inference(avatar_split_clause,[],[f8882,f6614,f8884])). 39.42/5.43 tff(f8884,plain,( 39.42/5.43 spl43_493 <=> cardinal1(vertex,t2tb(sK20)) = $sum(1,cardinal1(vertex,t2tb(sK15)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_493])])). 39.42/5.43 tff(f6614,plain,( 39.42/5.43 spl43_399 <=> ! [X2 : $int,X3 : $int] : (cardinal1(vertex,t2tb(sK20)) != X2 | cardinal1(vertex,t2tb(sK15)) != X3 | $sum(1,X3) = X2)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_399])])). 39.42/5.43 tff(f8882,plain,( 39.42/5.43 cardinal1(vertex,t2tb(sK20)) = $sum(1,cardinal1(vertex,t2tb(sK15))) | ~spl43_399), 39.42/5.43 inference(equality_resolution,[],[f6632])). 39.42/5.43 tff(f6632,plain,( 39.42/5.43 ( ! [X0 : $int] : (cardinal1(vertex,t2tb(sK15)) != X0 | $sum(1,X0) = cardinal1(vertex,t2tb(sK20))) ) | ~spl43_399), 39.42/5.43 inference(equality_resolution,[],[f6615])). 39.42/5.43 tff(f6615,plain,( 39.42/5.43 ( ! [X2 : $int,X3 : $int] : (cardinal1(vertex,t2tb(sK20)) != X2 | cardinal1(vertex,t2tb(sK15)) != X3 | $sum(1,X3) = X2) ) | ~spl43_399), 39.42/5.43 inference(avatar_component_clause,[],[f6614])). 39.42/5.43 tff(f8873,plain,( 39.42/5.43 spl43_492 | ~spl43_490 | ~spl43_491), 39.42/5.43 inference(avatar_split_clause,[],[f8857,f8853,f8843,f8870])). 39.42/5.43 tff(f8870,plain,( 39.42/5.43 spl43_492 <=> 1 = $sum(1,cardinal1(vertex,t2tb(sK18)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_492])])). 39.42/5.43 tff(f8843,plain,( 39.42/5.43 spl43_490 <=> cardinal1(vertex,t2tb(sK14)) = $sum(1,cardinal1(vertex,t2tb(sK18)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_490])])). 39.42/5.43 tff(f8853,plain,( 39.42/5.43 spl43_491 <=> 1 = cardinal1(vertex,t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_491])])). 39.42/5.43 tff(f8857,plain,( 39.42/5.43 1 = $sum(1,cardinal1(vertex,t2tb(sK18))) | (~spl43_490 | ~spl43_491)), 39.42/5.43 inference(backward_demodulation,[],[f8845,f8855])). 39.42/5.43 tff(f8855,plain,( 39.42/5.43 1 = cardinal1(vertex,t2tb(sK14)) | ~spl43_491), 39.42/5.43 inference(avatar_component_clause,[],[f8853])). 39.42/5.43 tff(f8845,plain,( 39.42/5.43 cardinal1(vertex,t2tb(sK14)) = $sum(1,cardinal1(vertex,t2tb(sK18))) | ~spl43_490), 39.42/5.43 inference(avatar_component_clause,[],[f8843])). 39.42/5.43 tff(f8856,plain,( 39.42/5.43 ~spl43_317 | spl43_491 | ~spl43_490), 39.42/5.43 inference(avatar_split_clause,[],[f8851,f8843,f8853,f4078])). 39.42/5.43 tff(f4078,plain,( 39.42/5.43 spl43_317 <=> is_empty(vertex,t2tb(sK18))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_317])])). 39.42/5.43 tff(f8851,plain,( 39.42/5.43 1 = cardinal1(vertex,t2tb(sK14)) | ~is_empty(vertex,t2tb(sK18)) | ~spl43_490), 39.42/5.43 inference(evaluation,[],[f8847])). 39.42/5.43 tff(f8847,plain,( 39.42/5.43 cardinal1(vertex,t2tb(sK14)) = $sum(1,0) | ~is_empty(vertex,t2tb(sK18)) | ~spl43_490), 39.42/5.43 inference(superposition,[],[f8845,f413])). 39.42/5.43 tff(f413,plain,( 39.42/5.43 ( ! [X0 : ty,X1 : uni] : (0 = cardinal1(X0,X1) | ~is_empty(X0,X1)) )), 39.42/5.43 inference(cnf_transformation,[],[f248])). 39.42/5.43 tff(f248,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni] : ((is_empty(X0,X1) | 0 != cardinal1(X0,X1)) & (0 = cardinal1(X0,X1) | ~is_empty(X0,X1)))), 39.42/5.43 inference(nnf_transformation,[],[f123])). 39.42/5.43 tff(f123,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni] : (is_empty(X0,X1) <=> 0 = cardinal1(X0,X1))), 39.42/5.43 inference(rectify,[],[f39])). 39.42/5.43 tff(f39,axiom,( 39.42/5.43 ! [X0 : ty,X4 : uni] : (is_empty(X0,X4) <=> cardinal1(X0,X4) = 0)), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_empty)). 39.42/5.43 tff(f8846,plain,( 39.42/5.43 spl43_490 | ~spl43_398), 39.42/5.43 inference(avatar_split_clause,[],[f8841,f6519,f8843])). 39.42/5.43 tff(f6519,plain,( 39.42/5.43 spl43_398 <=> ! [X2 : $int,X3 : $int] : (cardinal1(vertex,t2tb(sK18)) != X2 | $sum(1,X2) = X3 | cardinal1(vertex,t2tb(sK14)) != X3)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_398])])). 39.42/5.43 tff(f8841,plain,( 39.42/5.43 cardinal1(vertex,t2tb(sK14)) = $sum(1,cardinal1(vertex,t2tb(sK18))) | ~spl43_398), 39.42/5.43 inference(equality_resolution,[],[f6523])). 39.42/5.43 tff(f6523,plain,( 39.42/5.43 ( ! [X0 : $int] : (cardinal1(vertex,t2tb(sK14)) != X0 | $sum(1,cardinal1(vertex,t2tb(sK18))) = X0) ) | ~spl43_398), 39.42/5.43 inference(equality_resolution,[],[f6520])). 39.42/5.43 tff(f6520,plain,( 39.42/5.43 ( ! [X2 : $int,X3 : $int] : (cardinal1(vertex,t2tb(sK18)) != X2 | $sum(1,X2) = X3 | cardinal1(vertex,t2tb(sK14)) != X3) ) | ~spl43_398), 39.42/5.43 inference(avatar_component_clause,[],[f6519])). 39.42/5.43 tff(f8815,plain,( 39.42/5.43 spl43_489 | ~spl43_487 | ~spl43_488), 39.42/5.43 inference(avatar_split_clause,[],[f8799,f8795,f8768,f8812])). 39.42/5.43 tff(f8812,plain,( 39.42/5.43 spl43_489 <=> 1 = $sum(1,cardinal1(vertex,t2tb(sK9)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_489])])). 39.42/5.43 tff(f8768,plain,( 39.42/5.43 spl43_487 <=> cardinal1(vertex,t2tb(sK13)) = $sum(1,cardinal1(vertex,t2tb(sK9)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_487])])). 39.42/5.43 tff(f8795,plain,( 39.42/5.43 spl43_488 <=> 1 = cardinal1(vertex,t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_488])])). 39.42/5.43 tff(f8799,plain,( 39.42/5.43 1 = $sum(1,cardinal1(vertex,t2tb(sK9))) | (~spl43_487 | ~spl43_488)), 39.42/5.43 inference(backward_demodulation,[],[f8770,f8797])). 39.42/5.43 tff(f8797,plain,( 39.42/5.43 1 = cardinal1(vertex,t2tb(sK13)) | ~spl43_488), 39.42/5.43 inference(avatar_component_clause,[],[f8795])). 39.42/5.43 tff(f8770,plain,( 39.42/5.43 cardinal1(vertex,t2tb(sK13)) = $sum(1,cardinal1(vertex,t2tb(sK9))) | ~spl43_487), 39.42/5.43 inference(avatar_component_clause,[],[f8768])). 39.42/5.43 tff(f8798,plain,( 39.42/5.43 ~spl43_125 | spl43_488 | ~spl43_487), 39.42/5.43 inference(avatar_split_clause,[],[f8793,f8768,f8795,f1653])). 39.42/5.43 tff(f1653,plain,( 39.42/5.43 spl43_125 <=> is_empty(vertex,t2tb(sK9))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_125])])). 39.42/5.43 tff(f8793,plain,( 39.42/5.43 1 = cardinal1(vertex,t2tb(sK13)) | ~is_empty(vertex,t2tb(sK9)) | ~spl43_487), 39.42/5.43 inference(evaluation,[],[f8789])). 39.42/5.43 tff(f8789,plain,( 39.42/5.43 cardinal1(vertex,t2tb(sK13)) = $sum(1,0) | ~is_empty(vertex,t2tb(sK9)) | ~spl43_487), 39.42/5.43 inference(superposition,[],[f8770,f413])). 39.42/5.43 tff(f8771,plain,( 39.42/5.43 spl43_487 | ~spl43_395), 39.42/5.43 inference(avatar_split_clause,[],[f8766,f6413,f8768])). 39.42/5.43 tff(f6413,plain,( 39.42/5.43 spl43_395 <=> ! [X2 : $int,X3 : $int] : (cardinal1(vertex,t2tb(sK13)) != X2 | cardinal1(vertex,t2tb(sK9)) != X3 | $sum(1,X3) = X2)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_395])])). 39.42/5.43 tff(f8766,plain,( 39.42/5.43 cardinal1(vertex,t2tb(sK13)) = $sum(1,cardinal1(vertex,t2tb(sK9))) | ~spl43_395), 39.42/5.43 inference(equality_resolution,[],[f6508])). 39.42/5.43 tff(f6508,plain,( 39.42/5.43 ( ! [X0 : $int] : (cardinal1(vertex,t2tb(sK9)) != X0 | $sum(1,X0) = cardinal1(vertex,t2tb(sK13))) ) | ~spl43_395), 39.42/5.43 inference(equality_resolution,[],[f6414])). 39.42/5.43 tff(f6414,plain,( 39.42/5.43 ( ! [X2 : $int,X3 : $int] : (cardinal1(vertex,t2tb(sK13)) != X2 | cardinal1(vertex,t2tb(sK9)) != X3 | $sum(1,X3) = X2) ) | ~spl43_395), 39.42/5.43 inference(avatar_component_clause,[],[f6413])). 39.42/5.43 tff(f8757,plain,( 39.42/5.43 spl43_486 | ~spl43_484 | ~spl43_485), 39.42/5.43 inference(avatar_split_clause,[],[f8741,f8737,f8710,f8754])). 39.42/5.43 tff(f8754,plain,( 39.42/5.43 spl43_486 <=> 1 = $sum(1,cardinal1(vertex,t2tb(sK11)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_486])])). 39.42/5.43 tff(f8710,plain,( 39.42/5.43 spl43_484 <=> cardinal1(vertex,t2tb(sK7)) = $sum(1,cardinal1(vertex,t2tb(sK11)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_484])])). 39.42/5.43 tff(f8737,plain,( 39.42/5.43 spl43_485 <=> 1 = cardinal1(vertex,t2tb(sK7))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_485])])). 39.42/5.43 tff(f8741,plain,( 39.42/5.43 1 = $sum(1,cardinal1(vertex,t2tb(sK11))) | (~spl43_484 | ~spl43_485)), 39.42/5.43 inference(backward_demodulation,[],[f8712,f8739])). 39.42/5.43 tff(f8739,plain,( 39.42/5.43 1 = cardinal1(vertex,t2tb(sK7)) | ~spl43_485), 39.42/5.43 inference(avatar_component_clause,[],[f8737])). 39.42/5.43 tff(f8712,plain,( 39.42/5.43 cardinal1(vertex,t2tb(sK7)) = $sum(1,cardinal1(vertex,t2tb(sK11))) | ~spl43_484), 39.42/5.43 inference(avatar_component_clause,[],[f8710])). 39.42/5.43 tff(f8740,plain,( 39.42/5.43 ~spl43_313 | spl43_485 | ~spl43_484), 39.42/5.43 inference(avatar_split_clause,[],[f8718,f8710,f8737,f4054])). 39.42/5.43 tff(f8718,plain,( 39.42/5.43 1 = cardinal1(vertex,t2tb(sK7)) | ~is_empty(vertex,t2tb(sK11)) | ~spl43_484), 39.42/5.43 inference(evaluation,[],[f8714])). 39.42/5.43 tff(f8714,plain,( 39.42/5.43 cardinal1(vertex,t2tb(sK7)) = $sum(1,0) | ~is_empty(vertex,t2tb(sK11)) | ~spl43_484), 39.42/5.43 inference(superposition,[],[f8712,f413])). 39.42/5.43 tff(f8713,plain,( 39.42/5.43 spl43_484 | ~spl43_393), 39.42/5.43 inference(avatar_split_clause,[],[f8708,f6402,f8710])). 39.42/5.43 tff(f6402,plain,( 39.42/5.43 spl43_393 <=> ! [X6 : $int,X7 : $int] : (cardinal1(vertex,t2tb(sK11)) != X6 | $sum(1,X6) = X7 | cardinal1(vertex,t2tb(sK7)) != X7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_393])])). 39.42/5.43 tff(f8708,plain,( 39.42/5.43 cardinal1(vertex,t2tb(sK7)) = $sum(1,cardinal1(vertex,t2tb(sK11))) | ~spl43_393), 39.42/5.43 inference(equality_resolution,[],[f6411])). 39.42/5.43 tff(f6411,plain,( 39.42/5.43 ( ! [X0 : $int] : (cardinal1(vertex,t2tb(sK7)) != X0 | $sum(1,cardinal1(vertex,t2tb(sK11))) = X0) ) | ~spl43_393), 39.42/5.43 inference(equality_resolution,[],[f6403])). 39.42/5.43 tff(f6403,plain,( 39.42/5.43 ( ! [X6 : $int,X7 : $int] : (cardinal1(vertex,t2tb(sK11)) != X6 | $sum(1,X6) = X7 | cardinal1(vertex,t2tb(sK7)) != X7) ) | ~spl43_393), 39.42/5.43 inference(avatar_component_clause,[],[f6402])). 39.42/5.43 tff(f8704,plain,( 39.42/5.43 spl43_472 | ~spl43_483 | ~spl43_156 | spl43_459), 39.42/5.43 inference(avatar_split_clause,[],[f8410,f8047,f2237,f8701,f8252])). 39.42/5.43 tff(f8252,plain,( 39.42/5.43 spl43_472 <=> mem(vertex,t2tb2(sK29(sK13)),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_472])])). 39.42/5.43 tff(f8701,plain,( 39.42/5.43 spl43_483 <=> inv_src1(sK29(sK13),sK18,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_483])])). 39.42/5.43 tff(f8047,plain,( 39.42/5.43 spl43_459 <=> mem(vertex,t2tb2(sK29(sK13)),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_459])])). 39.42/5.43 tff(f8410,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK18,sK13) | mem(vertex,t2tb2(sK29(sK13)),t2tb(sK14)) | (~spl43_156 | spl43_459)), 39.42/5.43 inference(resolution,[],[f8069,f2242])). 39.42/5.43 tff(f8069,plain,( 39.42/5.43 ( ! [X3 : set_vertex] : (mem(vertex,t2tb2(sK29(sK13)),t2tb(X3)) | ~inv_src1(sK29(sK13),X3,sK13)) ) | spl43_459), 39.42/5.43 inference(resolution,[],[f8049,f475])). 39.42/5.43 tff(f8049,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK29(sK13)),t2tb(sK13)) | spl43_459), 39.42/5.43 inference(avatar_component_clause,[],[f8047])). 39.42/5.43 tff(f8699,plain,( 39.42/5.43 spl43_470 | ~spl43_482 | ~spl43_150 | spl43_459), 39.42/5.43 inference(avatar_split_clause,[],[f8403,f8047,f2180,f8696,f8242])). 39.42/5.43 tff(f8242,plain,( 39.42/5.43 spl43_470 <=> mem(vertex,t2tb2(sK29(sK13)),t2tb(sK7))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_470])])). 39.42/5.43 tff(f8696,plain,( 39.42/5.43 spl43_482 <=> inv_src1(sK29(sK13),sK11,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_482])])). 39.42/5.43 tff(f8403,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK11,sK13) | mem(vertex,t2tb2(sK29(sK13)),t2tb(sK7)) | (~spl43_150 | spl43_459)), 39.42/5.43 inference(resolution,[],[f8069,f2195])). 39.42/5.43 tff(f8622,plain,( 39.42/5.43 spl43_468 | ~spl43_481 | ~spl43_156 | spl43_453), 39.42/5.43 inference(avatar_split_clause,[],[f8319,f7999,f2237,f8619,f8233])). 39.42/5.43 tff(f8233,plain,( 39.42/5.43 spl43_468 <=> mem(vertex,t2tb2(sK29(sK7)),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_468])])). 39.42/5.43 tff(f8619,plain,( 39.42/5.43 spl43_481 <=> inv_src1(sK29(sK7),sK18,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_481])])). 39.42/5.43 tff(f7999,plain,( 39.42/5.43 spl43_453 <=> mem(vertex,t2tb2(sK29(sK7)),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_453])])). 39.42/5.43 tff(f8319,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK18,sK13) | mem(vertex,t2tb2(sK29(sK7)),t2tb(sK14)) | (~spl43_156 | spl43_453)), 39.42/5.43 inference(resolution,[],[f8009,f2242])). 39.42/5.43 tff(f8009,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK29(sK7)),t2tb(X0)) | ~inv_src1(sK29(sK7),X0,sK13)) ) | spl43_453), 39.42/5.43 inference(resolution,[],[f8001,f475])). 39.42/5.43 tff(f8001,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK29(sK7)),t2tb(sK13)) | spl43_453), 39.42/5.43 inference(avatar_component_clause,[],[f7999])). 39.42/5.43 tff(f8617,plain,( 39.42/5.43 spl43_466 | ~spl43_480 | ~spl43_150 | spl43_453), 39.42/5.43 inference(avatar_split_clause,[],[f8312,f7999,f2180,f8614,f8174])). 39.42/5.43 tff(f8174,plain,( 39.42/5.43 spl43_466 <=> mem(vertex,t2tb2(sK29(sK7)),t2tb(sK7))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_466])])). 39.42/5.43 tff(f8614,plain,( 39.42/5.43 spl43_480 <=> inv_src1(sK29(sK7),sK11,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_480])])). 39.42/5.43 tff(f8312,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK11,sK13) | mem(vertex,t2tb2(sK29(sK7)),t2tb(sK7)) | (~spl43_150 | spl43_453)), 39.42/5.43 inference(resolution,[],[f8009,f2195])). 39.42/5.43 tff(f8433,plain,( 39.42/5.43 ~spl43_479 | ~spl43_478 | ~spl43_385 | spl43_459), 39.42/5.43 inference(avatar_split_clause,[],[f8371,f8047,f6156,f8425,f8430])). 39.42/5.43 tff(f8425,plain,( 39.42/5.43 spl43_478 <=> inv_src1(sK29(sK13),sK9,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_478])])). 39.42/5.43 tff(f8371,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK9,sK13) | ~inv_src1(sK19,g_succ1(sK29(sK13)),sK15) | (~spl43_385 | spl43_459)), 39.42/5.43 inference(resolution,[],[f8069,f6157])). 39.42/5.43 tff(f8428,plain,( 39.42/5.43 ~spl43_452 | ~spl43_478 | ~spl43_384 | spl43_459), 39.42/5.43 inference(avatar_split_clause,[],[f8370,f8047,f6113,f8425,f7989])). 39.42/5.43 tff(f8370,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK9,sK13) | ~inv_src1(sK23,g_succ1(sK29(sK13)),sK20) | (~spl43_384 | spl43_459)), 39.42/5.43 inference(resolution,[],[f8069,f6114])). 39.42/5.43 tff(f8423,plain,( 39.42/5.43 ~spl43_477 | spl43_459), 39.42/5.43 inference(avatar_split_clause,[],[f8358,f8047,f8420])). 39.42/5.43 tff(f8420,plain,( 39.42/5.43 spl43_477 <=> inv_src1(sK29(sK13),sK6,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_477])])). 39.42/5.43 tff(f8358,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK6,sK13) | spl43_459), 39.42/5.43 inference(resolution,[],[f8069,f280])). 39.42/5.43 tff(f8418,plain,( 39.42/5.43 ~spl43_476 | spl43_459), 39.42/5.43 inference(avatar_split_clause,[],[f8351,f8047,f8415])). 39.42/5.43 tff(f8415,plain,( 39.42/5.43 spl43_476 <=> inv_src1(sK29(sK13),sK13,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_476])])). 39.42/5.43 tff(f8351,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK13,sK13) | spl43_459), 39.42/5.43 inference(resolution,[],[f8069,f8049])). 39.42/5.43 tff(f8350,plain,( 39.42/5.43 ~spl43_475 | ~spl43_474 | ~spl43_385 | spl43_453), 39.42/5.43 inference(avatar_split_clause,[],[f8280,f7999,f6156,f8342,f8347])). 39.42/5.43 tff(f8342,plain,( 39.42/5.43 spl43_474 <=> inv_src1(sK29(sK7),sK9,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_474])])). 39.42/5.43 tff(f8280,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK9,sK13) | ~inv_src1(sK19,g_succ1(sK29(sK7)),sK15) | (~spl43_385 | spl43_453)), 39.42/5.43 inference(resolution,[],[f8009,f6157])). 39.42/5.43 tff(f8345,plain,( 39.42/5.43 ~spl43_449 | ~spl43_474 | ~spl43_384 | spl43_453), 39.42/5.43 inference(avatar_split_clause,[],[f8279,f7999,f6113,f8342,f7907])). 39.42/5.43 tff(f8279,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK9,sK13) | ~inv_src1(sK23,g_succ1(sK29(sK7)),sK20) | (~spl43_384 | spl43_453)), 39.42/5.43 inference(resolution,[],[f8009,f6114])). 39.42/5.43 tff(f8340,plain,( 39.42/5.43 ~spl43_458 | spl43_453), 39.42/5.43 inference(avatar_split_clause,[],[f8260,f7999,f8042])). 39.42/5.43 tff(f8042,plain,( 39.42/5.43 spl43_458 <=> inv_src1(sK29(sK7),sK13,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_458])])). 39.42/5.43 tff(f8260,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK13,sK13) | spl43_453), 39.42/5.43 inference(resolution,[],[f8009,f8001])). 39.42/5.43 tff(f8259,plain,( 39.42/5.43 spl43_472 | ~spl43_473 | ~spl43_156 | ~spl43_437), 39.42/5.43 inference(avatar_split_clause,[],[f7812,f7746,f2237,f8256,f8252])). 39.42/5.43 tff(f8256,plain,( 39.42/5.43 spl43_473 <=> inv_src1(sK29(sK13),sK18,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_473])])). 39.42/5.43 tff(f7746,plain,( 39.42/5.43 spl43_437 <=> ! [X11 : set_vertex] : (mem(vertex,t2tb2(sK29(sK13)),t2tb(X11)) | ~inv_src1(sK29(sK13),X11,sK15))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_437])])). 39.42/5.43 tff(f7812,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK18,sK15) | mem(vertex,t2tb2(sK29(sK13)),t2tb(sK14)) | (~spl43_156 | ~spl43_437)), 39.42/5.43 inference(resolution,[],[f7747,f2242])). 39.42/5.43 tff(f7747,plain,( 39.42/5.43 ( ! [X11 : set_vertex] : (mem(vertex,t2tb2(sK29(sK13)),t2tb(X11)) | ~inv_src1(sK29(sK13),X11,sK15)) ) | ~spl43_437), 39.42/5.43 inference(avatar_component_clause,[],[f7746])). 39.42/5.43 tff(f8249,plain,( 39.42/5.43 spl43_470 | ~spl43_471 | ~spl43_150 | ~spl43_437), 39.42/5.43 inference(avatar_split_clause,[],[f7805,f7746,f2180,f8246,f8242])). 39.42/5.43 tff(f8246,plain,( 39.42/5.43 spl43_471 <=> inv_src1(sK29(sK13),sK11,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_471])])). 39.42/5.43 tff(f7805,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK11,sK15) | mem(vertex,t2tb2(sK29(sK13)),t2tb(sK7)) | (~spl43_150 | ~spl43_437)), 39.42/5.43 inference(resolution,[],[f7747,f2195])). 39.42/5.43 tff(f8240,plain,( 39.42/5.43 spl43_468 | ~spl43_469 | ~spl43_156 | ~spl43_435), 39.42/5.43 inference(avatar_split_clause,[],[f7736,f7675,f2237,f8237,f8233])). 39.42/5.43 tff(f8237,plain,( 39.42/5.43 spl43_469 <=> inv_src1(sK29(sK7),sK18,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_469])])). 39.42/5.43 tff(f7675,plain,( 39.42/5.43 spl43_435 <=> ! [X12 : set_vertex] : (mem(vertex,t2tb2(sK29(sK7)),t2tb(X12)) | ~inv_src1(sK29(sK7),X12,sK9))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_435])])). 39.42/5.43 tff(f7736,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK18,sK9) | mem(vertex,t2tb2(sK29(sK7)),t2tb(sK14)) | (~spl43_156 | ~spl43_435)), 39.42/5.43 inference(resolution,[],[f7676,f2242])). 39.42/5.43 tff(f7676,plain,( 39.42/5.43 ( ! [X12 : set_vertex] : (mem(vertex,t2tb2(sK29(sK7)),t2tb(X12)) | ~inv_src1(sK29(sK7),X12,sK9)) ) | ~spl43_435), 39.42/5.43 inference(avatar_component_clause,[],[f7675])). 39.42/5.43 tff(f8181,plain,( 39.42/5.43 spl43_466 | ~spl43_467 | ~spl43_150 | ~spl43_435), 39.42/5.43 inference(avatar_split_clause,[],[f7729,f7675,f2180,f8178,f8174])). 39.42/5.43 tff(f8178,plain,( 39.42/5.43 spl43_467 <=> inv_src1(sK29(sK7),sK11,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_467])])). 39.42/5.43 tff(f7729,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK11,sK9) | mem(vertex,t2tb2(sK29(sK7)),t2tb(sK7)) | (~spl43_150 | ~spl43_435)), 39.42/5.43 inference(resolution,[],[f7676,f2195])). 39.42/5.43 tff(f8171,plain,( 39.42/5.43 ~spl43_432 | spl43_465 | ~spl43_389 | ~spl43_433), 39.42/5.43 inference(avatar_split_clause,[],[f7680,f7620,f6290,f8169,f7616])). 39.42/5.43 tff(f7616,plain,( 39.42/5.43 spl43_432 <=> is_empty(vertex,empty(vertex))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_432])])). 39.42/5.43 tff(f8169,plain,( 39.42/5.43 spl43_465 <=> ! [X0 : $int] : (0 != X0 | 1 = $sum(1,X0))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_465])])). 39.42/5.43 tff(f6290,plain,( 39.42/5.43 spl43_389 <=> ! [X2 : $int,X3 : $int] : (cardinal1(vertex,t2tb(sK4)) != X2 | cardinal1(vertex,empty(vertex)) != X3 | $sum(1,X3) = X2)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_389])])). 39.42/5.43 tff(f7620,plain,( 39.42/5.43 spl43_433 <=> 1 = cardinal1(vertex,t2tb(sK4))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_433])])). 39.42/5.43 tff(f7680,plain,( 39.42/5.43 ( ! [X0 : $int] : (0 != X0 | 1 = $sum(1,X0) | ~is_empty(vertex,empty(vertex))) ) | (~spl43_389 | ~spl43_433)), 39.42/5.43 inference(superposition,[],[f7657,f413])). 39.42/5.43 tff(f7657,plain,( 39.42/5.43 ( ! [X0 : $int] : (cardinal1(vertex,empty(vertex)) != X0 | 1 = $sum(1,X0)) ) | (~spl43_389 | ~spl43_433)), 39.42/5.43 inference(backward_demodulation,[],[f6386,f7622])). 39.42/5.43 tff(f7622,plain,( 39.42/5.43 1 = cardinal1(vertex,t2tb(sK4)) | ~spl43_433), 39.42/5.43 inference(avatar_component_clause,[],[f7620])). 39.42/5.43 tff(f6386,plain,( 39.42/5.43 ( ! [X0 : $int] : (cardinal1(vertex,empty(vertex)) != X0 | $sum(1,X0) = cardinal1(vertex,t2tb(sK4))) ) | ~spl43_389), 39.42/5.43 inference(equality_resolution,[],[f6291])). 39.42/5.43 tff(f6291,plain,( 39.42/5.43 ( ! [X2 : $int,X3 : $int] : (cardinal1(vertex,t2tb(sK4)) != X2 | cardinal1(vertex,empty(vertex)) != X3 | $sum(1,X3) = X2) ) | ~spl43_389), 39.42/5.43 inference(avatar_component_clause,[],[f6290])). 39.42/5.43 tff(f8105,plain,( 39.42/5.43 ~spl43_464 | ~spl43_463 | spl43_459), 39.42/5.43 inference(avatar_split_clause,[],[f8077,f8047,f8095,f8102])). 39.42/5.43 tff(f8102,plain,( 39.42/5.43 spl43_464 <=> inv_src1(sK29(sK13),sK6,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_464])])). 39.42/5.43 tff(f8095,plain,( 39.42/5.43 spl43_463 <=> inv_src1(sK29(sK13),sK13,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_463])])). 39.42/5.43 tff(f8077,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK13,sK9) | ~inv_src1(sK29(sK13),sK6,sK7) | spl43_459), 39.42/5.43 inference(resolution,[],[f8049,f4558])). 39.42/5.43 tff(f8098,plain,( 39.42/5.43 ~spl43_462 | ~spl43_463 | spl43_459), 39.42/5.43 inference(avatar_split_clause,[],[f8073,f8047,f8095,f8091])). 39.42/5.43 tff(f8091,plain,( 39.42/5.43 spl43_462 <=> inv_src1(sK29(sK13),sK7,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_462])])). 39.42/5.43 tff(f8073,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK13,sK9) | ~inv_src1(sK29(sK13),sK7,sK6) | spl43_459), 39.42/5.43 inference(resolution,[],[f8049,f1979])). 39.42/5.43 tff(f8087,plain,( 39.42/5.43 ~spl43_461 | spl43_459), 39.42/5.43 inference(avatar_split_clause,[],[f8070,f8047,f8084])). 39.42/5.43 tff(f8084,plain,( 39.42/5.43 spl43_461 <=> inv_src1(sK29(sK13),sK13,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_461])])). 39.42/5.43 tff(f8070,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK13,sK6) | spl43_459), 39.42/5.43 inference(resolution,[],[f8049,f609])). 39.42/5.43 tff(f8082,plain,( 39.42/5.43 ~spl43_446 | ~spl43_437 | spl43_459), 39.42/5.43 inference(avatar_split_clause,[],[f8067,f8047,f7746,f7893])). 39.42/5.43 tff(f7893,plain,( 39.42/5.43 spl43_446 <=> inv_src1(sK29(sK13),sK13,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_446])])). 39.42/5.43 tff(f8067,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK13,sK15) | (~spl43_437 | spl43_459)), 39.42/5.43 inference(resolution,[],[f8049,f7747])). 39.42/5.43 tff(f8054,plain,( 39.42/5.43 ~spl43_459 | ~spl43_460 | ~spl43_437), 39.42/5.43 inference(avatar_split_clause,[],[f7792,f7746,f8051,f8047])). 39.42/5.43 tff(f8051,plain,( 39.42/5.43 spl43_460 <=> inv_src1(sK29(sK13),sK15,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_460])])). 39.42/5.43 tff(f7792,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK15,sK15) | ~mem(vertex,t2tb2(sK29(sK13)),t2tb(sK13)) | ~spl43_437), 39.42/5.43 inference(resolution,[],[f7747,f308])). 39.42/5.43 tff(f8045,plain,( 39.42/5.43 ~spl43_458 | ~spl43_457 | spl43_453), 39.42/5.43 inference(avatar_split_clause,[],[f8020,f7999,f8037,f8042])). 39.42/5.43 tff(f8037,plain,( 39.42/5.43 spl43_457 <=> inv_src1(sK29(sK7),sK13,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_457])])). 39.42/5.43 tff(f8020,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK13,sK15) | ~inv_src1(sK29(sK7),sK13,sK13) | spl43_453), 39.42/5.43 inference(resolution,[],[f8001,f4720])). 39.42/5.43 tff(f8040,plain,( 39.42/5.43 ~spl43_456 | ~spl43_457 | spl43_453), 39.42/5.43 inference(avatar_split_clause,[],[f8019,f7999,f8037,f8033])). 39.42/5.43 tff(f8033,plain,( 39.42/5.43 spl43_456 <=> inv_src1(sK29(sK7),sK6,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_456])])). 39.42/5.43 tff(f8019,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK13,sK15) | ~inv_src1(sK29(sK7),sK6,sK13) | spl43_453), 39.42/5.43 inference(resolution,[],[f8001,f4657])). 39.42/5.43 tff(f8031,plain,( 39.42/5.43 ~spl43_455 | spl43_453), 39.42/5.43 inference(avatar_split_clause,[],[f8010,f7999,f8028])). 39.42/5.43 tff(f8028,plain,( 39.42/5.43 spl43_455 <=> inv_src1(sK29(sK7),sK13,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_455])])). 39.42/5.43 tff(f8010,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK13,sK6) | spl43_453), 39.42/5.43 inference(resolution,[],[f8001,f609])). 39.42/5.43 tff(f8022,plain,( 39.42/5.43 ~spl43_442 | ~spl43_435 | spl43_453), 39.42/5.43 inference(avatar_split_clause,[],[f8008,f7999,f7675,f7826])). 39.42/5.43 tff(f7826,plain,( 39.42/5.43 spl43_442 <=> inv_src1(sK29(sK7),sK13,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_442])])). 39.42/5.43 tff(f8008,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK13,sK9) | (~spl43_435 | spl43_453)), 39.42/5.43 inference(resolution,[],[f8001,f7676])). 39.42/5.43 tff(f8006,plain,( 39.42/5.43 ~spl43_453 | ~spl43_454 | ~spl43_435), 39.42/5.43 inference(avatar_split_clause,[],[f7716,f7675,f8003,f7999])). 39.42/5.43 tff(f8003,plain,( 39.42/5.43 spl43_454 <=> inv_src1(sK29(sK7),sK15,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_454])])). 39.42/5.43 tff(f7716,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK15,sK9) | ~mem(vertex,t2tb2(sK29(sK7)),t2tb(sK13)) | ~spl43_435), 39.42/5.43 inference(resolution,[],[f7676,f308])). 39.42/5.43 tff(f7992,plain,( 39.42/5.43 ~spl43_452 | ~spl43_451 | ~spl43_384 | ~spl43_437), 39.42/5.43 inference(avatar_split_clause,[],[f7776,f7746,f6113,f7977,f7989])). 39.42/5.43 tff(f7977,plain,( 39.42/5.43 spl43_451 <=> inv_src1(sK29(sK13),sK9,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_451])])). 39.42/5.43 tff(f7776,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK9,sK15) | ~inv_src1(sK23,g_succ1(sK29(sK13)),sK20) | (~spl43_384 | ~spl43_437)), 39.42/5.43 inference(resolution,[],[f7747,f6114])). 39.42/5.43 tff(f7980,plain,( 39.42/5.43 ~spl43_450 | ~spl43_451 | ~spl43_383 | ~spl43_437), 39.42/5.43 inference(avatar_split_clause,[],[f7775,f7746,f6070,f7977,f7973])). 39.42/5.43 tff(f7775,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK9,sK15) | ~inv_src1(sK23,g_succ1(sK29(sK13)),sK13) | (~spl43_383 | ~spl43_437)), 39.42/5.43 inference(resolution,[],[f7747,f6071])). 39.42/5.43 tff(f7910,plain,( 39.42/5.43 ~spl43_449 | ~spl43_448 | ~spl43_384 | ~spl43_435), 39.42/5.43 inference(avatar_split_clause,[],[f7700,f7675,f6113,f7902,f7907])). 39.42/5.43 tff(f7902,plain,( 39.42/5.43 spl43_448 <=> inv_src1(sK29(sK7),sK9,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_448])])). 39.42/5.43 tff(f7700,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK9,sK9) | ~inv_src1(sK23,g_succ1(sK29(sK7)),sK20) | (~spl43_384 | ~spl43_435)), 39.42/5.43 inference(resolution,[],[f7676,f6114])). 39.42/5.43 tff(f7905,plain,( 39.42/5.43 ~spl43_447 | ~spl43_448 | ~spl43_383 | ~spl43_435), 39.42/5.43 inference(avatar_split_clause,[],[f7699,f7675,f6070,f7902,f7898])). 39.42/5.43 tff(f7699,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK9,sK9) | ~inv_src1(sK23,g_succ1(sK29(sK7)),sK13) | (~spl43_383 | ~spl43_435)), 39.42/5.43 inference(resolution,[],[f7676,f6071])). 39.42/5.43 tff(f7896,plain,( 39.42/5.43 ~spl43_445 | ~spl43_446 | ~spl43_437), 39.42/5.43 inference(avatar_split_clause,[],[f7780,f7746,f7893,f7889])). 39.42/5.43 tff(f7889,plain,( 39.42/5.43 spl43_445 <=> inv_src1(sK29(sK13),sK15,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_445])])). 39.42/5.43 tff(f7780,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK13,sK15) | ~inv_src1(sK29(sK13),sK15,sK6) | ~spl43_437), 39.42/5.43 inference(resolution,[],[f7747,f862])). 39.42/5.43 tff(f7887,plain,( 39.42/5.43 ~spl43_443 | ~spl43_444 | ~spl43_437), 39.42/5.43 inference(avatar_split_clause,[],[f7769,f7746,f7884,f7880])). 39.42/5.43 tff(f7880,plain,( 39.42/5.43 spl43_443 <=> inv_src1(sK29(sK13),sK9,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_443])])). 39.42/5.43 tff(f7884,plain,( 39.42/5.43 spl43_444 <=> inv_src1(sK29(sK13),sK7,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_444])])). 39.42/5.43 tff(f7769,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK7,sK15) | ~inv_src1(sK29(sK13),sK9,sK6) | ~spl43_437), 39.42/5.43 inference(resolution,[],[f7747,f850])). 39.42/5.43 tff(f7829,plain,( 39.42/5.43 ~spl43_441 | ~spl43_442 | ~spl43_435), 39.42/5.43 inference(avatar_split_clause,[],[f7704,f7675,f7826,f7822])). 39.42/5.43 tff(f7822,plain,( 39.42/5.43 spl43_441 <=> inv_src1(sK29(sK7),sK15,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_441])])). 39.42/5.43 tff(f7704,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK13,sK9) | ~inv_src1(sK29(sK7),sK15,sK6) | ~spl43_435), 39.42/5.43 inference(resolution,[],[f7676,f862])). 39.42/5.43 tff(f7820,plain,( 39.42/5.43 ~spl43_440 | ~spl43_437), 39.42/5.43 inference(avatar_split_clause,[],[f7764,f7746,f7817])). 39.42/5.43 tff(f7817,plain,( 39.42/5.43 spl43_440 <=> inv_src1(sK29(sK13),sK6,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_440])])). 39.42/5.43 tff(f7764,plain,( 39.42/5.43 ~inv_src1(sK29(sK13),sK6,sK15) | ~spl43_437), 39.42/5.43 inference(resolution,[],[f7747,f280])). 39.42/5.43 tff(f7757,plain,( 39.42/5.43 ~spl43_438 | ~spl43_439 | ~spl43_435), 39.42/5.43 inference(avatar_split_clause,[],[f7693,f7675,f7754,f7750])). 39.42/5.43 tff(f7750,plain,( 39.42/5.43 spl43_438 <=> inv_src1(sK29(sK7),sK9,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_438])])). 39.42/5.43 tff(f7754,plain,( 39.42/5.43 spl43_439 <=> inv_src1(sK29(sK7),sK7,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_439])])). 39.42/5.43 tff(f7693,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK7,sK9) | ~inv_src1(sK29(sK7),sK9,sK6) | ~spl43_435), 39.42/5.43 inference(resolution,[],[f7676,f850])). 39.42/5.43 tff(f7748,plain,( 39.42/5.43 spl43_379 | spl43_437), 39.42/5.43 inference(avatar_split_clause,[],[f2025,f7746,f6051])). 39.42/5.43 tff(f2025,plain,( 39.42/5.43 ( ! [X11 : set_vertex,X14 : $int,X12 : vertex1,X13 : vertex1] : (mem(vertex,t2tb2(sK29(sK13)),t2tb(X11)) | ~inv_src1(sK29(sK13),X11,sK15) | ~path1(X12,X13,X14) | ~mem(vertex,t2tb2(X12),t2tb(sK13)) | mem(vertex,t2tb2(X13),t2tb(sK13))) )), 39.42/5.43 inference(resolution,[],[f863,f397])). 39.42/5.43 tff(f7744,plain,( 39.42/5.43 ~spl43_436 | ~spl43_435), 39.42/5.43 inference(avatar_split_clause,[],[f7688,f7675,f7741])). 39.42/5.43 tff(f7741,plain,( 39.42/5.43 spl43_436 <=> inv_src1(sK29(sK7),sK6,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_436])])). 39.42/5.43 tff(f7688,plain,( 39.42/5.43 ~inv_src1(sK29(sK7),sK6,sK9) | ~spl43_435), 39.42/5.43 inference(resolution,[],[f7676,f280])). 39.42/5.43 tff(f7677,plain,( 39.42/5.43 spl43_367 | spl43_435), 39.42/5.43 inference(avatar_split_clause,[],[f1978,f7675,f5554])). 39.42/5.43 tff(f5554,plain,( 39.42/5.43 spl43_367 <=> ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~path1(X0,X1,X2) | mem(vertex,t2tb2(X1),t2tb(sK7)) | ~mem(vertex,t2tb2(X0),t2tb(sK7)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_367])])). 39.42/5.43 tff(f1978,plain,( 39.42/5.43 ( ! [X14 : vertex1,X15 : $int,X12 : set_vertex,X13 : vertex1] : (mem(vertex,t2tb2(sK29(sK7)),t2tb(X12)) | ~inv_src1(sK29(sK7),X12,sK9) | ~path1(X13,X14,X15) | ~mem(vertex,t2tb2(X13),t2tb(sK7)) | mem(vertex,t2tb2(X14),t2tb(sK7))) )), 39.42/5.43 inference(resolution,[],[f851,f397])). 39.42/5.43 tff(f7673,plain,( 39.42/5.43 spl43_434 | ~spl43_431 | ~spl43_433), 39.42/5.43 inference(avatar_split_clause,[],[f7656,f7620,f7608,f7670])). 39.42/5.43 tff(f7670,plain,( 39.42/5.43 spl43_434 <=> 1 = $sum(1,cardinal1(vertex,empty(vertex)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_434])])). 39.42/5.43 tff(f7608,plain,( 39.42/5.43 spl43_431 <=> cardinal1(vertex,t2tb(sK4)) = $sum(1,cardinal1(vertex,empty(vertex)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_431])])). 39.42/5.43 tff(f7656,plain,( 39.42/5.43 1 = $sum(1,cardinal1(vertex,empty(vertex))) | (~spl43_431 | ~spl43_433)), 39.42/5.43 inference(backward_demodulation,[],[f7610,f7622])). 39.42/5.43 tff(f7610,plain,( 39.42/5.43 cardinal1(vertex,t2tb(sK4)) = $sum(1,cardinal1(vertex,empty(vertex))) | ~spl43_431), 39.42/5.43 inference(avatar_component_clause,[],[f7608])). 39.42/5.43 tff(f7655,plain,( 39.42/5.43 spl43_432), 39.42/5.43 inference(avatar_contradiction_clause,[],[f7654])). 39.42/5.43 tff(f7654,plain,( 39.42/5.43 $false | spl43_432), 39.42/5.43 inference(resolution,[],[f7618,f382])). 39.42/5.43 tff(f382,plain,( 39.42/5.43 ( ! [X0 : ty] : (is_empty(X0,empty(X0))) )), 39.42/5.43 inference(cnf_transformation,[],[f79])). 39.42/5.43 tff(f79,axiom,( 39.42/5.43 ! [X0 : ty] : is_empty(X0,empty(X0))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_def1)). 39.42/5.43 tff(f7618,plain,( 39.42/5.43 ~is_empty(vertex,empty(vertex)) | spl43_432), 39.42/5.43 inference(avatar_component_clause,[],[f7616])). 39.42/5.43 tff(f7623,plain,( 39.42/5.43 ~spl43_432 | spl43_433 | ~spl43_431), 39.42/5.43 inference(avatar_split_clause,[],[f7614,f7608,f7620,f7616])). 39.42/5.43 tff(f7614,plain,( 39.42/5.43 1 = cardinal1(vertex,t2tb(sK4)) | ~is_empty(vertex,empty(vertex)) | ~spl43_431), 39.42/5.43 inference(evaluation,[],[f7612])). 39.42/5.43 tff(f7612,plain,( 39.42/5.43 cardinal1(vertex,t2tb(sK4)) = $sum(1,0) | ~is_empty(vertex,empty(vertex)) | ~spl43_431), 39.42/5.43 inference(superposition,[],[f7610,f413])). 39.42/5.43 tff(f7611,plain,( 39.42/5.43 spl43_431 | ~spl43_389), 39.42/5.43 inference(avatar_split_clause,[],[f7606,f6290,f7608])). 39.42/5.43 tff(f7606,plain,( 39.42/5.43 cardinal1(vertex,t2tb(sK4)) = $sum(1,cardinal1(vertex,empty(vertex))) | ~spl43_389), 39.42/5.43 inference(equality_resolution,[],[f6386])). 39.42/5.43 tff(f7594,plain,( 39.42/5.43 spl43_84 | ~spl43_430 | ~spl43_150 | spl43_386), 39.42/5.43 inference(avatar_split_clause,[],[f7407,f6159,f2180,f7591,f1244])). 39.42/5.43 tff(f1244,plain,( 39.42/5.43 spl43_84 <=> mem(vertex,t2tb2(sK19),t2tb(sK7))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_84])])). 39.42/5.43 tff(f7591,plain,( 39.42/5.43 spl43_430 <=> inv_src1(sK19,sK11,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_430])])). 39.42/5.43 tff(f6159,plain,( 39.42/5.43 spl43_386 <=> mem(vertex,t2tb2(sK19),t2tb(sK9))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_386])])). 39.42/5.43 tff(f7407,plain,( 39.42/5.43 ~inv_src1(sK19,sK11,sK9) | mem(vertex,t2tb2(sK19),t2tb(sK7)) | (~spl43_150 | spl43_386)), 39.42/5.43 inference(resolution,[],[f7165,f2195])). 39.42/5.43 tff(f7165,plain,( 39.42/5.43 ( ! [X7 : set_vertex] : (mem(vertex,t2tb2(sK19),t2tb(X7)) | ~inv_src1(sK19,X7,sK9)) ) | spl43_386), 39.42/5.43 inference(resolution,[],[f6160,f475])). 39.42/5.43 tff(f6160,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK19),t2tb(sK9)) | spl43_386), 39.42/5.43 inference(avatar_component_clause,[],[f6159])). 39.42/5.43 tff(f7530,plain,( 39.42/5.43 spl43_77 | ~spl43_429 | ~spl43_150 | spl43_162), 39.42/5.43 inference(avatar_split_clause,[],[f7252,f2277,f2180,f7527,f1205])). 39.42/5.43 tff(f7527,plain,( 39.42/5.43 spl43_429 <=> inv_src1(sK23,sK11,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_429])])). 39.42/5.43 tff(f7252,plain,( 39.42/5.43 ~inv_src1(sK23,sK11,sK9) | mem(vertex,t2tb2(sK23),t2tb(sK7)) | (~spl43_150 | spl43_162)), 39.42/5.43 inference(resolution,[],[f7189,f2195])). 39.42/5.43 tff(f7523,plain,( 39.42/5.43 ~spl43_33 | ~spl43_104 | ~spl43_422), 39.42/5.43 inference(avatar_contradiction_clause,[],[f7518])). 39.42/5.43 tff(f7518,plain,( 39.42/5.43 $false | (~spl43_33 | ~spl43_104 | ~spl43_422)), 39.42/5.43 inference(resolution,[],[f7475,f804])). 39.42/5.43 tff(f804,plain,( 39.42/5.43 path1(sK1,sK12,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK12)))) | ~spl43_33), 39.42/5.43 inference(avatar_component_clause,[],[f802])). 39.42/5.43 tff(f802,plain,( 39.42/5.43 spl43_33 <=> path1(sK1,sK12,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK12))))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_33])])). 39.42/5.43 tff(f7475,plain,( 39.42/5.43 ( ! [X0 : $int] : (~path1(sK1,sK12,X0)) ) | (~spl43_104 | ~spl43_422)), 39.42/5.43 inference(resolution,[],[f7138,f1444])). 39.42/5.43 tff(f1444,plain,( 39.42/5.43 mem(vertex,t2tb2(sK12),t2tb(sK13)) | ~spl43_104), 39.42/5.43 inference(avatar_component_clause,[],[f1443])). 39.42/5.43 tff(f1443,plain,( 39.42/5.43 spl43_104 <=> mem(vertex,t2tb2(sK12),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_104])])). 39.42/5.43 tff(f7138,plain,( 39.42/5.43 ( ! [X4 : vertex1,X5 : $int] : (~mem(vertex,t2tb2(X4),t2tb(sK13)) | ~path1(sK1,X4,X5)) ) | ~spl43_422), 39.42/5.43 inference(resolution,[],[f7131,f308])). 39.42/5.43 tff(f7131,plain,( 39.42/5.43 ( ! [X80 : vertex1,X81 : $int] : (mem(vertex,t2tb2(X80),t2tb(sK15)) | ~path1(sK1,X80,X81)) ) | ~spl43_422), 39.42/5.43 inference(avatar_component_clause,[],[f7130])). 39.42/5.43 tff(f7130,plain,( 39.42/5.43 spl43_422 <=> ! [X80 : vertex1,X81 : $int] : (~path1(sK1,X80,X81) | mem(vertex,t2tb2(X80),t2tb(sK15)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_422])])). 39.42/5.43 tff(f7431,plain,( 39.42/5.43 spl43_17 | spl43_184 | spl43_428 | spl43_32), 39.42/5.43 inference(avatar_split_clause,[],[f2595,f770,f7429,f2490,f662])). 39.42/5.43 tff(f7429,plain,( 39.42/5.43 spl43_428 <=> ! [X0 : vertex1] : (~inv_src1(sK23,g_succ1(X0),sK18) | ~mem(vertex,t2tb2(X0),t2tb(sK13)) | sK12 = X0)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_428])])). 39.42/5.43 tff(f2595,plain,( 39.42/5.43 ( ! [X0 : vertex1] : (~inv_src1(sK23,g_succ1(X0),sK18) | mem(vertex,t2tb2(sK23),t2tb(sK15)) | sK12 = X0 | mem(vertex,t2tb2(sK23),t2tb(sK13)) | ~mem(vertex,t2tb2(X0),t2tb(sK13))) ) | spl43_32), 39.42/5.43 inference(resolution,[],[f2534,f311])). 39.42/5.43 tff(f7427,plain,( 39.42/5.43 ~spl43_427 | spl43_386), 39.42/5.43 inference(avatar_split_clause,[],[f7366,f6159,f7424])). 39.42/5.43 tff(f7424,plain,( 39.42/5.43 spl43_427 <=> inv_src1(sK19,sK6,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_427])])). 39.42/5.43 tff(f7366,plain,( 39.42/5.43 ~inv_src1(sK19,sK6,sK9) | spl43_386), 39.42/5.43 inference(resolution,[],[f7165,f280])). 39.42/5.43 tff(f7422,plain,( 39.42/5.43 ~spl43_426 | spl43_386), 39.42/5.43 inference(avatar_split_clause,[],[f7358,f6159,f7419])). 39.42/5.43 tff(f7419,plain,( 39.42/5.43 spl43_426 <=> inv_src1(sK19,sK9,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_426])])). 39.42/5.43 tff(f7358,plain,( 39.42/5.43 ~inv_src1(sK19,sK9,sK9) | spl43_386), 39.42/5.43 inference(resolution,[],[f7165,f6160])). 39.42/5.43 tff(f7272,plain,( 39.42/5.43 ~spl43_425 | spl43_162), 39.42/5.43 inference(avatar_split_clause,[],[f7213,f2277,f7269])). 39.42/5.43 tff(f7269,plain,( 39.42/5.43 spl43_425 <=> inv_src1(sK23,sK6,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_425])])). 39.42/5.43 tff(f7213,plain,( 39.42/5.43 ~inv_src1(sK23,sK6,sK9) | spl43_162), 39.42/5.43 inference(resolution,[],[f7189,f280])). 39.42/5.43 tff(f7267,plain,( 39.42/5.43 ~spl43_424 | spl43_162), 39.42/5.43 inference(avatar_split_clause,[],[f7204,f2277,f7264])). 39.42/5.43 tff(f7264,plain,( 39.42/5.43 spl43_424 <=> inv_src1(sK23,sK9,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_424])])). 39.42/5.43 tff(f7204,plain,( 39.42/5.43 ~inv_src1(sK23,sK9,sK9) | spl43_162), 39.42/5.43 inference(resolution,[],[f7189,f2278])). 39.42/5.43 tff(f7179,plain,( 39.42/5.43 ~spl43_162 | spl43_184 | ~spl43_422), 39.42/5.43 inference(avatar_split_clause,[],[f7152,f7130,f2490,f2277])). 39.42/5.43 tff(f7152,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK23),t2tb(sK9)) | (spl43_184 | ~spl43_422)), 39.42/5.43 inference(resolution,[],[f7141,f1043])). 39.42/5.43 tff(f1043,plain,( 39.42/5.43 ( ! [X0 : vertex1] : (path1(sK1,X0,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X0)))) | ~mem(vertex,t2tb2(X0),t2tb(sK9))) )), 39.42/5.43 inference(resolution,[],[f283,f473])). 39.42/5.43 tff(f473,plain,( 39.42/5.43 ( ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~shortest_path1(X0,X1,X2) | path1(X0,X1,X2)) )), 39.42/5.43 inference(cnf_transformation,[],[f203])). 39.42/5.43 tff(f203,plain,( 39.42/5.43 ! [X0 : vertex1,X1 : vertex1,X2 : $int] : ((! [X3 : $int] : (~$less(X3,X2) | ~path1(X0,X1,X3)) & path1(X0,X1,X2)) | ~shortest_path1(X0,X1,X2))), 39.42/5.43 inference(ennf_transformation,[],[f167])). 39.42/5.43 tff(f167,plain,( 39.42/5.43 ! [X0 : vertex1,X1 : vertex1,X2 : $int] : (shortest_path1(X0,X1,X2) => (! [X3 : $int] : (path1(X0,X1,X3) => ~$less(X3,X2)) & path1(X0,X1,X2)))), 39.42/5.43 inference(unused_predicate_definition_removal,[],[f150])). 39.42/5.43 tff(f150,plain,( 39.42/5.43 ! [X0 : vertex1,X1 : vertex1,X2 : $int] : (shortest_path1(X0,X1,X2) <=> (! [X3 : $int] : (path1(X0,X1,X3) => ~$less(X3,X2)) & path1(X0,X1,X2)))), 39.42/5.43 inference(rectify,[],[f89])). 39.42/5.43 tff(f89,plain,( 39.42/5.43 ! [X3 : vertex1,X14 : vertex1,X8 : $int] : (shortest_path1(X3,X14,X8) <=> (! [X10 : $int] : (path1(X3,X14,X10) => ~$less(X10,X8)) & path1(X3,X14,X8)))), 39.42/5.43 inference(theory_normalization,[],[f32])). 39.42/5.43 tff(f32,axiom,( 39.42/5.43 ! [X3 : vertex1,X14 : vertex1,X8 : $int] : (shortest_path1(X3,X14,X8) <=> (! [X10 : $int] : (path1(X3,X14,X10) => $lesseq(X8,X10)) & path1(X3,X14,X8)))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',shortest_path_def)). 39.42/5.43 tff(f283,plain,( 39.42/5.43 ( ! [X45 : vertex1] : (shortest_path1(sK1,X45,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(sK9))) )), 39.42/5.43 inference(cnf_transformation,[],[f241])). 39.42/5.43 tff(f7141,plain,( 39.42/5.43 ( ! [X11 : $int] : (~path1(sK1,sK23,X11)) ) | (spl43_184 | ~spl43_422)), 39.42/5.43 inference(resolution,[],[f7131,f2491])). 39.42/5.43 tff(f2491,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK23),t2tb(sK15)) | spl43_184), 39.42/5.43 inference(avatar_component_clause,[],[f2490])). 39.42/5.43 tff(f7156,plain,( 39.42/5.43 ~spl43_386 | spl43_48 | ~spl43_422), 39.42/5.43 inference(avatar_split_clause,[],[f7148,f7130,f968,f6159])). 39.42/5.43 tff(f7148,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK19),t2tb(sK9)) | (spl43_48 | ~spl43_422)), 39.42/5.43 inference(resolution,[],[f7140,f1043])). 39.42/5.43 tff(f7140,plain,( 39.42/5.43 ( ! [X10 : $int] : (~path1(sK1,sK19,X10)) ) | (spl43_48 | ~spl43_422)), 39.42/5.43 inference(resolution,[],[f7131,f970])). 39.42/5.43 tff(f970,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK19),t2tb(sK15)) | spl43_48), 39.42/5.43 inference(avatar_component_clause,[],[f968])). 39.42/5.43 tff(f7136,plain,( 39.42/5.43 spl43_45 | spl43_423 | spl43_48 | spl43_45), 39.42/5.43 inference(avatar_split_clause,[],[f1400,f952,f968,f7134,f952])). 39.42/5.43 tff(f7134,plain,( 39.42/5.43 spl43_423 <=> ! [X34 : vertex1] : (sK12 = X34 | ~inv_src1(sK19,g_succ1(X34),sK13) | ~mem(vertex,t2tb2(X34),t2tb(sK13)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_423])])). 39.42/5.43 tff(f1400,plain,( 39.42/5.43 ( ! [X34 : vertex1] : (mem(vertex,t2tb2(sK19),t2tb(sK15)) | sK12 = X34 | mem(vertex,t2tb2(sK19),t2tb(sK13)) | ~mem(vertex,t2tb2(X34),t2tb(sK13)) | ~inv_src1(sK19,g_succ1(X34),sK13)) ) | spl43_45), 39.42/5.43 inference(resolution,[],[f311,f961])). 39.42/5.43 tff(f961,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK19),t2tb(X0)) | ~inv_src1(sK19,X0,sK13)) ) | spl43_45), 39.42/5.43 inference(resolution,[],[f954,f475])). 39.42/5.43 tff(f954,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK19),t2tb(sK13)) | spl43_45), 39.42/5.43 inference(avatar_component_clause,[],[f952])). 39.42/5.43 tff(f7132,plain,( 39.42/5.43 ~spl43_4 | spl43_422 | spl43_89 | ~spl43_204), 39.42/5.43 inference(avatar_split_clause,[],[f5988,f2657,f1291,f7130,f594])). 39.42/5.43 tff(f594,plain,( 39.42/5.43 spl43_4 <=> inv_src1(sK1,sK13,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_4])])). 39.42/5.43 tff(f5988,plain,( 39.42/5.43 ( ! [X80 : vertex1,X81 : $int] : (~path1(sK1,X80,X81) | mem(vertex,t2tb2(X80),t2tb(sK15)) | ~inv_src1(sK1,sK13,sK15)) ) | (spl43_89 | ~spl43_204)), 39.42/5.43 inference(resolution,[],[f5842,f1293])). 39.42/5.43 tff(f5842,plain,( 39.42/5.43 ( ! [X62 : vertex1,X63 : $int,X61 : vertex1,X64 : set_vertex] : (mem(vertex,t2tb2(X62),t2tb(X64)) | ~path1(X62,X61,X63) | mem(vertex,t2tb2(X61),t2tb(sK15)) | ~inv_src1(X62,X64,sK15)) ) | ~spl43_204), 39.42/5.43 inference(resolution,[],[f2658,f475])). 39.42/5.43 tff(f2658,plain,( 39.42/5.43 ( ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(sK15)) | mem(vertex,t2tb2(X1),t2tb(sK15)) | ~path1(X0,X1,X2)) ) | ~spl43_204), 39.42/5.43 inference(avatar_component_clause,[],[f2657])). 39.42/5.43 tff(f7087,plain,( 39.42/5.43 spl43_45 | spl43_421 | spl43_48 | spl43_48), 39.42/5.43 inference(avatar_split_clause,[],[f1399,f968,f968,f7085,f952])). 39.42/5.43 tff(f7085,plain,( 39.42/5.43 spl43_421 <=> ! [X33 : vertex1] : (sK12 = X33 | ~inv_src1(sK19,g_succ1(X33),sK15) | ~mem(vertex,t2tb2(X33),t2tb(sK13)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_421])])). 39.42/5.43 tff(f1399,plain,( 39.42/5.43 ( ! [X33 : vertex1] : (mem(vertex,t2tb2(sK19),t2tb(sK15)) | sK12 = X33 | mem(vertex,t2tb2(sK19),t2tb(sK13)) | ~mem(vertex,t2tb2(X33),t2tb(sK13)) | ~inv_src1(sK19,g_succ1(X33),sK15)) ) | spl43_48), 39.42/5.43 inference(resolution,[],[f311,f973])). 39.42/5.43 tff(f973,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK19),t2tb(X0)) | ~inv_src1(sK19,X0,sK15)) ) | spl43_48), 39.42/5.43 inference(resolution,[],[f970,f475])). 39.42/5.43 tff(f7027,plain,( 39.42/5.43 spl43_17 | spl43_420 | spl43_184 | spl43_16), 39.42/5.43 inference(avatar_split_clause,[],[f1398,f657,f2490,f7025,f662])). 39.42/5.43 tff(f7025,plain,( 39.42/5.43 spl43_420 <=> ! [X32 : vertex1] : (sK12 = X32 | ~inv_src1(sK23,g_succ1(X32),sK20) | ~mem(vertex,t2tb2(X32),t2tb(sK13)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_420])])). 39.42/5.43 tff(f1398,plain,( 39.42/5.43 ( ! [X32 : vertex1] : (mem(vertex,t2tb2(sK23),t2tb(sK15)) | sK12 = X32 | mem(vertex,t2tb2(sK23),t2tb(sK13)) | ~mem(vertex,t2tb2(X32),t2tb(sK13)) | ~inv_src1(sK23,g_succ1(X32),sK20)) ) | spl43_16), 39.42/5.43 inference(resolution,[],[f311,f715])). 39.42/5.43 tff(f6941,plain,( 39.42/5.43 spl43_17 | spl43_419 | spl43_184 | spl43_17), 39.42/5.43 inference(avatar_split_clause,[],[f1397,f662,f2490,f6939,f662])). 39.42/5.43 tff(f6939,plain,( 39.42/5.43 spl43_419 <=> ! [X31 : vertex1] : (sK12 = X31 | ~inv_src1(sK23,g_succ1(X31),sK13) | ~mem(vertex,t2tb2(X31),t2tb(sK13)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_419])])). 39.42/5.43 tff(f1397,plain,( 39.42/5.43 ( ! [X31 : vertex1] : (mem(vertex,t2tb2(sK23),t2tb(sK15)) | sK12 = X31 | mem(vertex,t2tb2(sK23),t2tb(sK13)) | ~mem(vertex,t2tb2(X31),t2tb(sK13)) | ~inv_src1(sK23,g_succ1(X31),sK13)) ) | spl43_17), 39.42/5.43 inference(resolution,[],[f311,f716])). 39.42/5.43 tff(f6937,plain,( 39.42/5.43 ~spl43_125 | spl43_418 | ~spl43_185), 39.42/5.43 inference(avatar_split_clause,[],[f6932,f2500,f6935,f1653])). 39.42/5.43 tff(f6935,plain,( 39.42/5.43 spl43_418 <=> ! [X75 : vertex1,X76 : $int] : (~path1(X75,X75,X76) | ~inv_src1(X75,sK9,sK9))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_418])])). 39.42/5.43 tff(f2500,plain,( 39.42/5.43 spl43_185 <=> ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~path1(X0,X1,X2) | mem(vertex,t2tb2(X1),t2tb(sK9)) | ~mem(vertex,t2tb2(X0),t2tb(sK9)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_185])])). 39.42/5.43 tff(f6932,plain,( 39.42/5.43 ( ! [X76 : $int,X75 : vertex1] : (~path1(X75,X75,X76) | ~inv_src1(X75,sK9,sK9) | ~is_empty(vertex,t2tb(sK9))) ) | ~spl43_185), 39.42/5.43 inference(resolution,[],[f5779,f408])). 39.42/5.43 tff(f5779,plain,( 39.42/5.43 ( ! [X0 : vertex1,X1 : $int] : (mem(vertex,t2tb2(X0),t2tb(sK9)) | ~path1(X0,X0,X1) | ~inv_src1(X0,sK9,sK9)) ) | ~spl43_185), 39.42/5.43 inference(factoring,[],[f5638])). 39.42/5.43 tff(f5638,plain,( 39.42/5.43 ( ! [X58 : vertex1,X59 : $int,X57 : vertex1,X60 : set_vertex] : (mem(vertex,t2tb2(X58),t2tb(X60)) | ~path1(X58,X57,X59) | mem(vertex,t2tb2(X57),t2tb(sK9)) | ~inv_src1(X58,X60,sK9)) ) | ~spl43_185), 39.42/5.43 inference(resolution,[],[f2501,f475])). 39.42/5.43 tff(f2501,plain,( 39.42/5.43 ( ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(sK9)) | mem(vertex,t2tb2(X1),t2tb(sK9)) | ~path1(X0,X1,X2)) ) | ~spl43_185), 39.42/5.43 inference(avatar_component_clause,[],[f2500])). 39.42/5.43 tff(f6906,plain,( 39.42/5.43 ~spl43_417 | spl43_413 | spl43_16 | ~spl43_185), 39.42/5.43 inference(avatar_split_clause,[],[f5732,f2500,f657,f6883,f6903])). 39.42/5.43 tff(f6903,plain,( 39.42/5.43 spl43_417 <=> inv_src1(sK23,sK20,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_417])])). 39.42/5.43 tff(f6883,plain,( 39.42/5.43 spl43_413 <=> ! [X92 : $int,X91 : vertex1] : (~path1(sK23,X91,X92) | mem(vertex,t2tb2(X91),t2tb(sK9)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_413])])). 39.42/5.43 tff(f5732,plain,( 39.42/5.43 ( ! [X99 : vertex1,X100 : $int] : (~path1(sK23,X99,X100) | mem(vertex,t2tb2(X99),t2tb(sK9)) | ~inv_src1(sK23,sK20,sK9)) ) | (spl43_16 | ~spl43_185)), 39.42/5.43 inference(resolution,[],[f5638,f659])). 39.42/5.43 tff(f6900,plain,( 39.42/5.43 ~spl43_416 | spl43_413 | spl43_32 | ~spl43_185), 39.42/5.43 inference(avatar_split_clause,[],[f5731,f2500,f770,f6883,f6897])). 39.42/5.43 tff(f6897,plain,( 39.42/5.43 spl43_416 <=> inv_src1(sK23,sK18,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_416])])). 39.42/5.43 tff(f5731,plain,( 39.42/5.43 ( ! [X98 : $int,X97 : vertex1] : (~path1(sK23,X97,X98) | mem(vertex,t2tb2(X97),t2tb(sK9)) | ~inv_src1(sK23,sK18,sK9)) ) | (spl43_32 | ~spl43_185)), 39.42/5.43 inference(resolution,[],[f5638,f772])). 39.42/5.43 tff(f6895,plain,( 39.42/5.43 ~spl43_415 | spl43_413 | spl43_184 | ~spl43_185), 39.42/5.43 inference(avatar_split_clause,[],[f5730,f2500,f2490,f6883,f6892])). 39.42/5.43 tff(f6892,plain,( 39.42/5.43 spl43_415 <=> inv_src1(sK23,sK15,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_415])])). 39.42/5.43 tff(f5730,plain,( 39.42/5.43 ( ! [X96 : $int,X95 : vertex1] : (~path1(sK23,X95,X96) | mem(vertex,t2tb2(X95),t2tb(sK9)) | ~inv_src1(sK23,sK15,sK9)) ) | (spl43_184 | ~spl43_185)), 39.42/5.43 inference(resolution,[],[f5638,f2491])). 39.42/5.43 tff(f6890,plain,( 39.42/5.43 ~spl43_414 | spl43_413 | spl43_17 | ~spl43_185), 39.42/5.43 inference(avatar_split_clause,[],[f5729,f2500,f662,f6883,f6887])). 39.42/5.43 tff(f6887,plain,( 39.42/5.43 spl43_414 <=> inv_src1(sK23,sK13,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_414])])). 39.42/5.43 tff(f5729,plain,( 39.42/5.43 ( ! [X94 : $int,X93 : vertex1] : (~path1(sK23,X93,X94) | mem(vertex,t2tb2(X93),t2tb(sK9)) | ~inv_src1(sK23,sK13,sK9)) ) | (spl43_17 | ~spl43_185)), 39.42/5.43 inference(resolution,[],[f5638,f664])). 39.42/5.43 tff(f6885,plain,( 39.42/5.43 ~spl43_412 | spl43_413 | spl43_77 | ~spl43_185), 39.42/5.43 inference(avatar_split_clause,[],[f5728,f2500,f1205,f6883,f6879])). 39.42/5.43 tff(f6879,plain,( 39.42/5.43 spl43_412 <=> inv_src1(sK23,sK7,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_412])])). 39.42/5.43 tff(f5728,plain,( 39.42/5.43 ( ! [X91 : vertex1,X92 : $int] : (~path1(sK23,X91,X92) | mem(vertex,t2tb2(X91),t2tb(sK9)) | ~inv_src1(sK23,sK7,sK9)) ) | (spl43_77 | ~spl43_185)), 39.42/5.43 inference(resolution,[],[f5638,f1207])). 39.42/5.43 tff(f6875,plain,( 39.42/5.43 ~spl43_411 | spl43_408 | spl43_172 | ~spl43_185), 39.42/5.43 inference(avatar_split_clause,[],[f5727,f2500,f2353,f6853,f6872])). 39.42/5.43 tff(f6872,plain,( 39.42/5.43 spl43_411 <=> inv_src1(sK19,sK18,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_411])])). 39.42/5.43 tff(f6853,plain,( 39.42/5.43 spl43_408 <=> ! [X84 : $int,X83 : vertex1] : (~path1(sK19,X83,X84) | mem(vertex,t2tb2(X83),t2tb(sK9)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_408])])). 39.42/5.43 tff(f2353,plain,( 39.42/5.43 spl43_172 <=> mem(vertex,t2tb2(sK19),t2tb(sK18))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_172])])). 39.42/5.43 tff(f5727,plain,( 39.42/5.43 ( ! [X90 : $int,X89 : vertex1] : (~path1(sK19,X89,X90) | mem(vertex,t2tb2(X89),t2tb(sK9)) | ~inv_src1(sK19,sK18,sK9)) ) | (spl43_172 | ~spl43_185)), 39.42/5.43 inference(resolution,[],[f5638,f2355])). 39.42/5.43 tff(f2355,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK19),t2tb(sK18)) | spl43_172), 39.42/5.43 inference(avatar_component_clause,[],[f2353])). 39.42/5.43 tff(f6870,plain,( 39.42/5.43 ~spl43_410 | spl43_408 | spl43_48 | ~spl43_185), 39.42/5.43 inference(avatar_split_clause,[],[f5726,f2500,f968,f6853,f6867])). 39.42/5.43 tff(f6867,plain,( 39.42/5.43 spl43_410 <=> inv_src1(sK19,sK15,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_410])])). 39.42/5.43 tff(f5726,plain,( 39.42/5.43 ( ! [X88 : $int,X87 : vertex1] : (~path1(sK19,X87,X88) | mem(vertex,t2tb2(X87),t2tb(sK9)) | ~inv_src1(sK19,sK15,sK9)) ) | (spl43_48 | ~spl43_185)), 39.42/5.43 inference(resolution,[],[f5638,f970])). 39.42/5.43 tff(f6860,plain,( 39.42/5.43 ~spl43_409 | spl43_408 | spl43_45 | ~spl43_185), 39.42/5.43 inference(avatar_split_clause,[],[f5725,f2500,f952,f6853,f6857])). 39.42/5.43 tff(f6857,plain,( 39.42/5.43 spl43_409 <=> inv_src1(sK19,sK13,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_409])])). 39.42/5.43 tff(f5725,plain,( 39.42/5.43 ( ! [X86 : $int,X85 : vertex1] : (~path1(sK19,X85,X86) | mem(vertex,t2tb2(X85),t2tb(sK9)) | ~inv_src1(sK19,sK13,sK9)) ) | (spl43_45 | ~spl43_185)), 39.42/5.43 inference(resolution,[],[f5638,f954])). 39.42/5.43 tff(f6855,plain,( 39.42/5.43 ~spl43_407 | spl43_408 | spl43_84 | ~spl43_185), 39.42/5.43 inference(avatar_split_clause,[],[f5724,f2500,f1244,f6853,f6849])). 39.42/5.43 tff(f6849,plain,( 39.42/5.43 spl43_407 <=> inv_src1(sK19,sK7,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_407])])). 39.42/5.43 tff(f5724,plain,( 39.42/5.43 ( ! [X83 : vertex1,X84 : $int] : (~path1(sK19,X83,X84) | mem(vertex,t2tb2(X83),t2tb(sK9)) | ~inv_src1(sK19,sK7,sK9)) ) | (spl43_84 | ~spl43_185)), 39.42/5.43 inference(resolution,[],[f5638,f1246])). 39.42/5.43 tff(f1246,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK19),t2tb(sK7)) | spl43_84), 39.42/5.43 inference(avatar_component_clause,[],[f1244])). 39.42/5.43 tff(f6847,plain,( 39.42/5.43 ~spl43_159 | spl43_406 | ~spl43_122), 39.42/5.43 inference(avatar_split_clause,[],[f1592,f1587,f6845,f2262])). 39.42/5.43 tff(f6845,plain,( 39.42/5.43 spl43_406 <=> ! [X0 : uni] : (get(int,vertex,t2tb1(sK3),X0) = get(int,vertex,t2tb1(sK5),X0) | ~sort1(vertex,X0) | t2tb2(sK1) = X0)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_406])])). 39.42/5.43 tff(f1587,plain,( 39.42/5.43 spl43_122 <=> set1(int,vertex,t2tb1(sK3),t2tb2(sK1),t2tb3(0)) = t2tb1(sK5)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_122])])). 39.42/5.43 tff(f1592,plain,( 39.42/5.43 ( ! [X0 : uni] : (get(int,vertex,t2tb1(sK3),X0) = get(int,vertex,t2tb1(sK5),X0) | t2tb2(sK1) = X0 | ~sort1(vertex,X0) | ~sort1(vertex,t2tb2(sK1))) ) | ~spl43_122), 39.42/5.43 inference(superposition,[],[f494,f1589])). 39.42/5.43 tff(f1589,plain,( 39.42/5.43 set1(int,vertex,t2tb1(sK3),t2tb2(sK1),t2tb3(0)) = t2tb1(sK5) | ~spl43_122), 39.42/5.43 inference(avatar_component_clause,[],[f1587])). 39.42/5.43 tff(f494,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4 | ~sort1(X0,X4) | ~sort1(X0,X3)) )), 39.42/5.43 inference(cnf_transformation,[],[f214])). 39.42/5.43 tff(f214,plain,( 39.42/5.43 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (! [X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4) | ~sort1(X0,X4) | ~sort1(X0,X3))), 39.42/5.43 inference(flattening,[],[f213])). 39.42/5.43 tff(f213,plain,( 39.42/5.43 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : ((! [X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4) | ~sort1(X0,X4)) | ~sort1(X0,X3))), 39.42/5.43 inference(ennf_transformation,[],[f163])). 39.42/5.43 tff(f163,plain,( 39.42/5.43 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (sort1(X0,X3) => (sort1(X0,X4) => ! [X5 : uni] : (X3 != X4 => get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4))))), 39.42/5.43 inference(rectify,[],[f47])). 39.42/5.43 tff(f47,axiom,( 39.42/5.43 ! [X0 : ty,X16 : ty,X20 : uni,X19 : uni,X24 : uni] : (sort1(X0,X19) => (sort1(X0,X24) => ! [X18 : uni] : (X19 != X24 => get(X16,X0,set1(X16,X0,X20,X19,X18),X24) = get(X16,X0,X20,X24))))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_neq)). 39.42/5.43 tff(f6832,plain,( 39.42/5.43 ~spl43_125 | spl43_405 | ~spl43_185), 39.42/5.43 inference(avatar_split_clause,[],[f6824,f2500,f6830,f1653])). 39.42/5.43 tff(f6830,plain,( 39.42/5.43 spl43_405 <=> ! [X102 : $int,X100 : vertex1,X101 : vertex1] : (~path1(X100,X101,X102) | ~inv_src1(X100,sK6,sK9))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_405])])). 39.42/5.43 tff(f6824,plain,( 39.42/5.43 ( ! [X101 : vertex1,X102 : $int,X100 : vertex1] : (~path1(X100,X101,X102) | ~inv_src1(X100,sK6,sK9) | ~is_empty(vertex,t2tb(sK9))) ) | ~spl43_185), 39.42/5.43 inference(resolution,[],[f5704,f408])). 39.42/5.43 tff(f5704,plain,( 39.42/5.43 ( ! [X18 : vertex1,X19 : $int,X17 : vertex1] : (mem(vertex,t2tb2(X18),t2tb(sK9)) | ~path1(X17,X18,X19) | ~inv_src1(X17,sK6,sK9)) ) | ~spl43_185), 39.42/5.43 inference(resolution,[],[f5638,f280])). 39.42/5.43 tff(f6696,plain,( 39.42/5.43 spl43_77 | spl43_162 | spl43_404 | spl43_32), 39.42/5.43 inference(avatar_split_clause,[],[f2596,f770,f6694,f2277,f1205])). 39.42/5.43 tff(f6694,plain,( 39.42/5.43 spl43_404 <=> ! [X1 : vertex1] : (~inv_src1(sK23,g_succ1(X1),sK18) | ~mem(vertex,t2tb2(X1),t2tb(sK9)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_404])])). 39.42/5.43 tff(f2596,plain,( 39.42/5.43 ( ! [X1 : vertex1] : (~inv_src1(sK23,g_succ1(X1),sK18) | mem(vertex,t2tb2(sK23),t2tb(sK9)) | mem(vertex,t2tb2(sK23),t2tb(sK7)) | ~mem(vertex,t2tb2(X1),t2tb(sK9))) ) | spl43_32), 39.42/5.43 inference(resolution,[],[f2534,f286])). 39.42/5.43 tff(f286,plain,( 39.42/5.43 ( ! [X42 : vertex1,X43 : vertex1] : (~mem(vertex,t2tb2(X43),t2tb(g_succ1(X42))) | mem(vertex,t2tb2(X43),t2tb(sK9)) | mem(vertex,t2tb2(X43),t2tb(sK7)) | ~mem(vertex,t2tb2(X42),t2tb(sK9))) )), 39.42/5.43 inference(cnf_transformation,[],[f241])). 39.42/5.43 tff(f6637,plain,( 39.42/5.43 ~spl43_403 | ~spl43_308 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f6574,f2773,f3965,f6634])). 39.42/5.43 tff(f3965,plain,( 39.42/5.43 spl43_308 <=> inv_src1(sK30(g_succ1(sK12)),sK14,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_308])])). 39.42/5.43 tff(f6574,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK14,sK15) | ~inv_src1(sK30(g_succ1(sK12)),sK14,sK13) | spl43_214), 39.42/5.43 inference(resolution,[],[f4720,f2775])). 39.42/5.43 tff(f6630,plain,( 39.42/5.43 ~spl43_401 | ~spl43_402 | spl43_364), 39.42/5.43 inference(avatar_split_clause,[],[f6573,f5529,f6627,f6623])). 39.42/5.43 tff(f6623,plain,( 39.42/5.43 spl43_401 <=> inv_src1(sK30(g_succ1(sK12)),sK13,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_401])])). 39.42/5.43 tff(f6627,plain,( 39.42/5.43 spl43_402 <=> inv_src1(sK30(g_succ1(sK12)),sK13,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_402])])). 39.42/5.43 tff(f6573,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK13,sK15) | ~inv_src1(sK30(g_succ1(sK12)),sK13,sK13) | spl43_364), 39.42/5.43 inference(resolution,[],[f4720,f5531])). 39.42/5.43 tff(f6621,plain,( 39.42/5.43 ~spl43_400 | ~spl43_397 | spl43_361), 39.42/5.43 inference(avatar_split_clause,[],[f6572,f5503,f6514,f6618])). 39.42/5.43 tff(f6514,plain,( 39.42/5.43 spl43_397 <=> inv_src1(sK30(g_succ1(sK12)),sK7,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_397])])). 39.42/5.43 tff(f6572,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK7,sK15) | ~inv_src1(sK30(g_succ1(sK12)),sK7,sK13) | spl43_361), 39.42/5.43 inference(resolution,[],[f4720,f5505])). 39.42/5.43 tff(f6616,plain,( 39.42/5.43 spl43_48 | spl43_399 | ~spl43_158), 39.42/5.43 inference(avatar_split_clause,[],[f2260,f2248,f6614,f968])). 39.42/5.43 tff(f2260,plain,( 39.42/5.43 ( ! [X2 : $int,X3 : $int] : (cardinal1(vertex,t2tb(sK20)) != X2 | cardinal1(vertex,t2tb(sK15)) != X3 | $sum(1,X3) = X2 | mem(vertex,t2tb2(sK19),t2tb(sK15))) ) | ~spl43_158), 39.42/5.43 inference(superposition,[],[f544,f2250])). 39.42/5.43 tff(f2250,plain,( 39.42/5.43 add(vertex,t2tb2(sK19),t2tb(sK15)) = t2tb(sK20) | ~spl43_158), 39.42/5.43 inference(avatar_component_clause,[],[f2248])). 39.42/5.43 tff(f544,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : (cardinal1(X0,add(X0,X1,X2)) != X3 | cardinal1(X0,X2) != X4 | $sum(1,X4) = X3 | mem(X0,X1,X2)) )), 39.42/5.43 inference(theory_flattening,[],[f440])). 39.42/5.43 tff(f440,plain,( 39.42/5.43 ( ! [X2 : uni,X0 : ty,X1 : uni] : (cardinal1(X0,add(X0,X1,X2)) = $sum(1,cardinal1(X0,X2)) | mem(X0,X1,X2)) )), 39.42/5.43 inference(cnf_transformation,[],[f188])). 39.42/5.43 tff(f188,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : (cardinal1(X0,add(X0,X1,X2)) = $sum(1,cardinal1(X0,X2)) | mem(X0,X1,X2))), 39.42/5.43 inference(ennf_transformation,[],[f141])). 39.42/5.43 tff(f141,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : (~mem(X0,X1,X2) => cardinal1(X0,add(X0,X1,X2)) = $sum(1,cardinal1(X0,X2)))), 39.42/5.43 inference(rectify,[],[f29])). 39.42/5.43 tff(f29,axiom,( 39.42/5.43 ! [X0 : ty,X3 : uni,X4 : uni] : (~mem(X0,X3,X4) => cardinal1(X0,add(X0,X3,X4)) = $sum(1,cardinal1(X0,X4)))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_add)). 39.42/5.43 tff(f6521,plain,( 39.42/5.43 ~spl43_14 | spl43_398 | ~spl43_155), 39.42/5.43 inference(avatar_split_clause,[],[f2234,f2222,f6519,f647])). 39.42/5.43 tff(f2222,plain,( 39.42/5.43 spl43_155 <=> t2tb(sK18) = remove(vertex,t2tb2(sK19),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_155])])). 39.42/5.43 tff(f2234,plain,( 39.42/5.43 ( ! [X2 : $int,X3 : $int] : (cardinal1(vertex,t2tb(sK18)) != X2 | cardinal1(vertex,t2tb(sK14)) != X3 | $sum(1,X2) = X3 | ~mem(vertex,t2tb2(sK19),t2tb(sK14))) ) | ~spl43_155), 39.42/5.43 inference(superposition,[],[f554,f2224])). 39.42/5.43 tff(f2224,plain,( 39.42/5.43 t2tb(sK18) = remove(vertex,t2tb2(sK19),t2tb(sK14)) | ~spl43_155), 39.42/5.43 inference(avatar_component_clause,[],[f2222])). 39.42/5.43 tff(f554,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : (cardinal1(X0,remove(X0,X1,X2)) != X4 | cardinal1(X0,X2) != X3 | $sum(1,X4) = X3 | ~mem(X0,X1,X2)) )), 39.42/5.43 inference(theory_flattening,[],[f472])). 39.42/5.43 tff(f472,plain,( 39.42/5.43 ( ! [X2 : uni,X0 : ty,X1 : uni] : (cardinal1(X0,X2) = $sum(1,cardinal1(X0,remove(X0,X1,X2))) | ~mem(X0,X1,X2)) )), 39.42/5.43 inference(cnf_transformation,[],[f202])). 39.42/5.43 tff(f202,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : (cardinal1(X0,X2) = $sum(1,cardinal1(X0,remove(X0,X1,X2))) | ~mem(X0,X1,X2))), 39.42/5.43 inference(ennf_transformation,[],[f148])). 39.42/5.43 tff(f148,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : (mem(X0,X1,X2) => cardinal1(X0,X2) = $sum(1,cardinal1(X0,remove(X0,X1,X2))))), 39.42/5.43 inference(rectify,[],[f9])). 39.42/5.43 tff(f9,axiom,( 39.42/5.43 ! [X0 : ty,X3 : uni,X4 : uni] : (mem(X0,X3,X4) => cardinal1(X0,X4) = $sum(1,cardinal1(X0,remove(X0,X3,X4))))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_remove)). 39.42/5.43 tff(f6517,plain,( 39.42/5.43 ~spl43_396 | ~spl43_397 | spl43_361), 39.42/5.43 inference(avatar_split_clause,[],[f6464,f5503,f6514,f6510])). 39.42/5.43 tff(f6510,plain,( 39.42/5.43 spl43_396 <=> inv_src1(sK30(g_succ1(sK12)),sK6,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_396])])). 39.42/5.43 tff(f6464,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK7,sK15) | ~inv_src1(sK30(g_succ1(sK12)),sK6,sK13) | spl43_361), 39.42/5.43 inference(resolution,[],[f4657,f5505])). 39.42/5.43 tff(f6415,plain,( 39.42/5.43 spl43_194 | spl43_395 | ~spl43_152), 39.42/5.43 inference(avatar_split_clause,[],[f2212,f2189,f6413,f2575])). 39.42/5.43 tff(f2575,plain,( 39.42/5.43 spl43_194 <=> mem(vertex,t2tb2(sK12),t2tb(sK9))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_194])])). 39.42/5.43 tff(f2189,plain,( 39.42/5.43 spl43_152 <=> add(vertex,t2tb2(sK12),t2tb(sK9)) = t2tb(sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_152])])). 39.42/5.43 tff(f2212,plain,( 39.42/5.43 ( ! [X2 : $int,X3 : $int] : (cardinal1(vertex,t2tb(sK13)) != X2 | cardinal1(vertex,t2tb(sK9)) != X3 | $sum(1,X3) = X2 | mem(vertex,t2tb2(sK12),t2tb(sK9))) ) | ~spl43_152), 39.42/5.43 inference(superposition,[],[f544,f2191])). 39.42/5.43 tff(f2191,plain,( 39.42/5.43 add(vertex,t2tb2(sK12),t2tb(sK9)) = t2tb(sK13) | ~spl43_152), 39.42/5.43 inference(avatar_component_clause,[],[f2189])). 39.42/5.43 tff(f6409,plain,( 39.42/5.43 ~spl43_394 | ~spl43_306 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f6346,f2773,f3951,f6406])). 39.42/5.43 tff(f3951,plain,( 39.42/5.43 spl43_306 <=> inv_src1(sK30(g_succ1(sK12)),sK14,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_306])])). 39.42/5.43 tff(f6346,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK14,sK9) | ~inv_src1(sK30(g_succ1(sK12)),sK14,sK7) | spl43_214), 39.42/5.43 inference(resolution,[],[f4621,f2775])). 39.42/5.43 tff(f6404,plain,( 39.42/5.43 ~spl43_10 | spl43_393 | ~spl43_146), 39.42/5.43 inference(avatar_split_clause,[],[f2177,f2146,f6402,f627])). 39.42/5.43 tff(f2146,plain,( 39.42/5.43 spl43_146 <=> remove(vertex,t2tb2(sK12),t2tb(sK7)) = t2tb(sK11)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_146])])). 39.42/5.43 tff(f2177,plain,( 39.42/5.43 ( ! [X6 : $int,X7 : $int] : (cardinal1(vertex,t2tb(sK11)) != X6 | cardinal1(vertex,t2tb(sK7)) != X7 | $sum(1,X6) = X7 | ~mem(vertex,t2tb2(sK12),t2tb(sK7))) ) | ~spl43_146), 39.42/5.43 inference(superposition,[],[f554,f2148])). 39.42/5.43 tff(f2148,plain,( 39.42/5.43 remove(vertex,t2tb2(sK12),t2tb(sK7)) = t2tb(sK11) | ~spl43_146), 39.42/5.43 inference(avatar_component_clause,[],[f2146])). 39.42/5.43 tff(f6400,plain,( 39.42/5.43 ~spl43_391 | ~spl43_392 | spl43_364), 39.42/5.43 inference(avatar_split_clause,[],[f6345,f5529,f6397,f6393])). 39.42/5.43 tff(f6393,plain,( 39.42/5.43 spl43_391 <=> inv_src1(sK30(g_succ1(sK12)),sK13,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_391])])). 39.42/5.43 tff(f6397,plain,( 39.42/5.43 spl43_392 <=> inv_src1(sK30(g_succ1(sK12)),sK13,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_392])])). 39.42/5.43 tff(f6345,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK13,sK9) | ~inv_src1(sK30(g_succ1(sK12)),sK13,sK7) | spl43_364), 39.42/5.43 inference(resolution,[],[f4621,f5531])). 39.42/5.43 tff(f6391,plain,( 39.42/5.43 ~spl43_390 | ~spl43_382 | spl43_361), 39.42/5.43 inference(avatar_split_clause,[],[f6344,f5503,f6065,f6388])). 39.42/5.43 tff(f6065,plain,( 39.42/5.43 spl43_382 <=> inv_src1(sK30(g_succ1(sK12)),sK7,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_382])])). 39.42/5.43 tff(f6344,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK7,sK9) | ~inv_src1(sK30(g_succ1(sK12)),sK7,sK7) | spl43_361), 39.42/5.43 inference(resolution,[],[f4621,f5505])). 39.42/5.43 tff(f6295,plain,( 39.42/5.43 ~spl43_388), 39.42/5.43 inference(avatar_contradiction_clause,[],[f6293])). 39.42/5.43 tff(f6293,plain,( 39.42/5.43 $false | ~spl43_388), 39.42/5.43 inference(resolution,[],[f6288,f415])). 39.42/5.43 tff(f415,plain,( 39.42/5.43 ( ! [X0 : ty,X1 : uni] : (~mem(X0,X1,empty(X0))) )), 39.42/5.43 inference(cnf_transformation,[],[f126])). 39.42/5.43 tff(f126,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni] : ~mem(X0,X1,empty(X0))), 39.42/5.43 inference(flattening,[],[f125])). 39.42/5.43 tff(f125,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni] : ~mem(X0,X1,empty(X0))), 39.42/5.43 inference(true_and_false_elimination,[],[f124])). 39.42/5.43 tff(f124,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni] : ($false <=> mem(X0,X1,empty(X0)))), 39.42/5.43 inference(rectify,[],[f17])). 39.42/5.43 tff(f17,axiom,( 39.42/5.43 ! [X0 : ty,X3 : uni] : ($false <=> mem(X0,X3,empty(X0)))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_empty)). 39.42/5.43 tff(f6288,plain,( 39.42/5.43 mem(vertex,t2tb2(sK1),empty(vertex)) | ~spl43_388), 39.42/5.43 inference(avatar_component_clause,[],[f6286])). 39.42/5.43 tff(f6286,plain,( 39.42/5.43 spl43_388 <=> mem(vertex,t2tb2(sK1),empty(vertex))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_388])])). 39.42/5.43 tff(f6292,plain,( 39.42/5.43 spl43_388 | spl43_389 | ~spl43_144), 39.42/5.43 inference(avatar_split_clause,[],[f2121,f2109,f6290,f6286])). 39.42/5.43 tff(f2109,plain,( 39.42/5.43 spl43_144 <=> add(vertex,t2tb2(sK1),empty(vertex)) = t2tb(sK4)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_144])])). 39.42/5.43 tff(f2121,plain,( 39.42/5.43 ( ! [X2 : $int,X3 : $int] : (cardinal1(vertex,t2tb(sK4)) != X2 | cardinal1(vertex,empty(vertex)) != X3 | $sum(1,X3) = X2 | mem(vertex,t2tb2(sK1),empty(vertex))) ) | ~spl43_144), 39.42/5.43 inference(superposition,[],[f544,f2111])). 39.42/5.43 tff(f2111,plain,( 39.42/5.43 add(vertex,t2tb2(sK1),empty(vertex)) = t2tb(sK4) | ~spl43_144), 39.42/5.43 inference(avatar_component_clause,[],[f2109])). 39.42/5.43 tff(f6205,plain,( 39.42/5.43 spl43_387 | spl43_84 | spl43_386 | spl43_45), 39.42/5.43 inference(avatar_split_clause,[],[f1281,f952,f6159,f1244,f6203])). 39.42/5.43 tff(f6203,plain,( 39.42/5.43 spl43_387 <=> ! [X33 : vertex1] : (~mem(vertex,t2tb2(X33),t2tb(sK9)) | ~inv_src1(sK19,g_succ1(X33),sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_387])])). 39.42/5.43 tff(f1281,plain,( 39.42/5.43 ( ! [X33 : vertex1] : (mem(vertex,t2tb2(sK19),t2tb(sK9)) | mem(vertex,t2tb2(sK19),t2tb(sK7)) | ~mem(vertex,t2tb2(X33),t2tb(sK9)) | ~inv_src1(sK19,g_succ1(X33),sK13)) ) | spl43_45), 39.42/5.43 inference(resolution,[],[f286,f961])). 39.42/5.43 tff(f6162,plain,( 39.42/5.43 spl43_385 | spl43_84 | spl43_386 | spl43_48), 39.42/5.43 inference(avatar_split_clause,[],[f1280,f968,f6159,f1244,f6156])). 39.42/5.43 tff(f1280,plain,( 39.42/5.43 ( ! [X32 : vertex1] : (mem(vertex,t2tb2(sK19),t2tb(sK9)) | mem(vertex,t2tb2(sK19),t2tb(sK7)) | ~mem(vertex,t2tb2(X32),t2tb(sK9)) | ~inv_src1(sK19,g_succ1(X32),sK15)) ) | spl43_48), 39.42/5.43 inference(resolution,[],[f286,f973])). 39.42/5.43 tff(f6115,plain,( 39.42/5.43 spl43_384 | spl43_77 | spl43_162 | spl43_16), 39.42/5.43 inference(avatar_split_clause,[],[f1279,f657,f2277,f1205,f6113])). 39.42/5.43 tff(f1279,plain,( 39.42/5.43 ( ! [X31 : vertex1] : (mem(vertex,t2tb2(sK23),t2tb(sK9)) | mem(vertex,t2tb2(sK23),t2tb(sK7)) | ~mem(vertex,t2tb2(X31),t2tb(sK9)) | ~inv_src1(sK23,g_succ1(X31),sK20)) ) | spl43_16), 39.42/5.43 inference(resolution,[],[f286,f715])). 39.42/5.43 tff(f6072,plain,( 39.42/5.43 spl43_383 | spl43_77 | spl43_162 | spl43_17), 39.42/5.43 inference(avatar_split_clause,[],[f1278,f662,f2277,f1205,f6070])). 39.42/5.43 tff(f1278,plain,( 39.42/5.43 ( ! [X30 : vertex1] : (mem(vertex,t2tb2(sK23),t2tb(sK9)) | mem(vertex,t2tb2(sK23),t2tb(sK7)) | ~mem(vertex,t2tb2(X30),t2tb(sK9)) | ~inv_src1(sK23,g_succ1(X30),sK13)) ) | spl43_17), 39.42/5.43 inference(resolution,[],[f286,f716])). 39.42/5.43 tff(f6068,plain,( 39.42/5.43 ~spl43_381 | ~spl43_382 | spl43_361), 39.42/5.43 inference(avatar_split_clause,[],[f5924,f5503,f6065,f6061])). 39.42/5.43 tff(f6061,plain,( 39.42/5.43 spl43_381 <=> inv_src1(sK30(g_succ1(sK12)),sK6,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_381])])). 39.42/5.43 tff(f5924,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK7,sK9) | ~inv_src1(sK30(g_succ1(sK12)),sK6,sK7) | spl43_361), 39.42/5.43 inference(resolution,[],[f4558,f5505])). 39.42/5.43 tff(f6057,plain,( 39.42/5.43 spl43_379 | spl43_380 | ~spl43_12), 39.42/5.43 inference(avatar_split_clause,[],[f906,f637,f6054,f6051])). 39.42/5.43 tff(f6054,plain,( 39.42/5.43 spl43_380 <=> mem(vertex,t2tb2(sK29(sK13)),t2tb(v1))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_380])])). 39.42/5.43 tff(f906,plain,( 39.42/5.43 ( ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (mem(vertex,t2tb2(sK29(sK13)),t2tb(v1)) | ~path1(X0,X1,X2) | ~mem(vertex,t2tb2(X0),t2tb(sK13)) | mem(vertex,t2tb2(X1),t2tb(sK13))) ) | ~spl43_12), 39.42/5.43 inference(resolution,[],[f701,f397])). 39.42/5.43 tff(f5852,plain,( 39.42/5.43 spl43_378 | spl43_377), 39.42/5.43 inference(avatar_split_clause,[],[f5815,f5807,f5811])). 39.42/5.43 tff(f5811,plain,( 39.42/5.43 spl43_378 <=> infix_eqeq(vertex,t2tb(sK6),t2tb(sK6))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_378])])). 39.42/5.43 tff(f5807,plain,( 39.42/5.43 spl43_377 <=> sort1(vertex,sK33(vertex,t2tb(sK6),t2tb(sK6)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_377])])). 39.42/5.43 tff(f5815,plain,( 39.42/5.43 infix_eqeq(vertex,t2tb(sK6),t2tb(sK6)) | spl43_377), 39.42/5.43 inference(resolution,[],[f5809,f429])). 39.42/5.43 tff(f429,plain,( 39.42/5.43 ( ! [X2 : uni,X0 : ty,X1 : uni] : (sort1(X0,sK33(X0,X1,X2)) | infix_eqeq(X0,X1,X2)) )), 39.42/5.43 inference(cnf_transformation,[],[f254])). 39.42/5.43 tff(f254,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : ((mem(X0,X3,X1) | ~mem(X0,X3,X2)) & (mem(X0,X3,X2) | ~mem(X0,X3,X1))) | ~infix_eqeq(X0,X1,X2)) & (infix_eqeq(X0,X1,X2) | ((~mem(X0,sK33(X0,X1,X2),X2) | ~mem(X0,sK33(X0,X1,X2),X1)) & (mem(X0,sK33(X0,X1,X2),X2) | mem(X0,sK33(X0,X1,X2),X1)) & sort1(X0,sK33(X0,X1,X2)))))), 39.42/5.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f252,f253])). 39.42/5.43 tff(f253,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : (? [X4 : uni] : ((~mem(X0,X4,X2) | ~mem(X0,X4,X1)) & (mem(X0,X4,X2) | mem(X0,X4,X1)) & sort1(X0,X4)) => ((~mem(X0,sK33(X0,X1,X2),X2) | ~mem(X0,sK33(X0,X1,X2),X1)) & (mem(X0,sK33(X0,X1,X2),X2) | mem(X0,sK33(X0,X1,X2),X1)) & sort1(X0,sK33(X0,X1,X2))))), 39.42/5.43 introduced(choice_axiom,[])). 39.42/5.43 tff(f252,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : ((mem(X0,X3,X1) | ~mem(X0,X3,X2)) & (mem(X0,X3,X2) | ~mem(X0,X3,X1))) | ~infix_eqeq(X0,X1,X2)) & (infix_eqeq(X0,X1,X2) | ? [X4 : uni] : ((~mem(X0,X4,X2) | ~mem(X0,X4,X1)) & (mem(X0,X4,X2) | mem(X0,X4,X1)) & sort1(X0,X4))))), 39.42/5.43 inference(flattening,[],[f251])). 39.42/5.43 tff(f251,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : ((mem(X0,X3,X1) | ~mem(X0,X3,X2)) & (mem(X0,X3,X2) | ~mem(X0,X3,X1))) | ~infix_eqeq(X0,X1,X2)) & (infix_eqeq(X0,X1,X2) | ? [X4 : uni] : (((~mem(X0,X4,X2) | ~mem(X0,X4,X1)) & (mem(X0,X4,X2) | mem(X0,X4,X1))) & sort1(X0,X4))))), 39.42/5.43 inference(nnf_transformation,[],[f181])). 39.42/5.43 tff(f181,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : (mem(X0,X3,X1) <=> mem(X0,X3,X2)) | ~infix_eqeq(X0,X1,X2)) & (infix_eqeq(X0,X1,X2) | ? [X4 : uni] : ((mem(X0,X4,X1) <~> mem(X0,X4,X2)) & sort1(X0,X4))))), 39.42/5.43 inference(ennf_transformation,[],[f136])). 39.42/5.43 tff(f136,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) => ! [X3 : uni] : (mem(X0,X3,X1) <=> mem(X0,X3,X2))) & (! [X4 : uni] : (sort1(X0,X4) => (mem(X0,X4,X1) <=> mem(X0,X4,X2))) => infix_eqeq(X0,X1,X2)))), 39.42/5.43 inference(rectify,[],[f25])). 39.42/5.43 tff(f25,axiom,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) => ! [X3 : uni] : (mem(X0,X3,X1) <=> mem(X0,X3,X2))) & (! [X3 : uni] : (sort1(X0,X3) => (mem(X0,X3,X1) <=> mem(X0,X3,X2))) => infix_eqeq(X0,X1,X2)))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infix_eqeq_def)). 39.42/5.43 tff(f5809,plain,( 39.42/5.43 ~sort1(vertex,sK33(vertex,t2tb(sK6),t2tb(sK6))) | spl43_377), 39.42/5.43 inference(avatar_component_clause,[],[f5807])). 39.42/5.43 tff(f5814,plain,( 39.42/5.43 ~spl43_377 | spl43_378), 39.42/5.43 inference(avatar_split_clause,[],[f4543,f5811,f5807])). 39.42/5.43 tff(f4543,plain,( 39.42/5.43 infix_eqeq(vertex,t2tb(sK6),t2tb(sK6)) | ~sort1(vertex,sK33(vertex,t2tb(sK6),t2tb(sK6)))), 39.42/5.43 inference(duplicate_literal_removal,[],[f4503])). 39.42/5.43 tff(f4503,plain,( 39.42/5.43 infix_eqeq(vertex,t2tb(sK6),t2tb(sK6)) | ~sort1(vertex,sK33(vertex,t2tb(sK6),t2tb(sK6))) | ~sort1(vertex,sK33(vertex,t2tb(sK6),t2tb(sK6)))), 39.42/5.43 inference(resolution,[],[f748,f610])). 39.42/5.43 tff(f610,plain,( 39.42/5.43 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK6)) | ~sort1(vertex,X0)) )), 39.42/5.43 inference(superposition,[],[f280,f395])). 39.42/5.43 tff(f748,plain,( 39.42/5.43 ( ! [X6 : uni] : (mem(vertex,sK33(vertex,X6,t2tb(sK6)),X6) | infix_eqeq(vertex,X6,t2tb(sK6)) | ~sort1(vertex,sK33(vertex,X6,t2tb(sK6)))) )), 39.42/5.43 inference(resolution,[],[f610,f430])). 39.42/5.43 tff(f430,plain,( 39.42/5.43 ( ! [X2 : uni,X0 : ty,X1 : uni] : (mem(X0,sK33(X0,X1,X2),X2) | infix_eqeq(X0,X1,X2) | mem(X0,sK33(X0,X1,X2),X1)) )), 39.42/5.43 inference(cnf_transformation,[],[f254])). 39.42/5.43 tff(f5802,plain,( 39.42/5.43 spl43_376 | spl43_375), 39.42/5.43 inference(avatar_split_clause,[],[f5800,f5792,f5796])). 39.42/5.43 tff(f5796,plain,( 39.42/5.43 spl43_376 <=> infix_eqeq(vertex,empty(vertex),t2tb(sK6))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_376])])). 39.42/5.43 tff(f5792,plain,( 39.42/5.43 spl43_375 <=> sort1(vertex,sK33(vertex,empty(vertex),t2tb(sK6)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_375])])). 39.42/5.43 tff(f5800,plain,( 39.42/5.43 infix_eqeq(vertex,empty(vertex),t2tb(sK6)) | spl43_375), 39.42/5.43 inference(resolution,[],[f5794,f429])). 39.42/5.43 tff(f5794,plain,( 39.42/5.43 ~sort1(vertex,sK33(vertex,empty(vertex),t2tb(sK6))) | spl43_375), 39.42/5.43 inference(avatar_component_clause,[],[f5792])). 39.42/5.43 tff(f5801,plain,( 39.42/5.43 spl43_204 | spl43_301 | ~spl43_11), 39.42/5.43 inference(avatar_split_clause,[],[f888,f632,f3867,f2657])). 39.42/5.43 tff(f3867,plain,( 39.42/5.43 spl43_301 <=> mem(vertex,t2tb2(sK29(sK15)),t2tb(v1))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_301])])). 39.42/5.43 tff(f888,plain,( 39.42/5.43 ( ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (mem(vertex,t2tb2(sK29(sK15)),t2tb(v1)) | ~path1(X0,X1,X2) | ~mem(vertex,t2tb2(X0),t2tb(sK15)) | mem(vertex,t2tb2(X1),t2tb(sK15))) ) | ~spl43_11), 39.42/5.43 inference(resolution,[],[f699,f397])). 39.42/5.43 tff(f5799,plain,( 39.42/5.43 ~spl43_375 | spl43_376), 39.42/5.43 inference(avatar_split_clause,[],[f4528,f5796,f5792])). 39.42/5.43 tff(f4528,plain,( 39.42/5.43 infix_eqeq(vertex,empty(vertex),t2tb(sK6)) | ~sort1(vertex,sK33(vertex,empty(vertex),t2tb(sK6)))), 39.42/5.43 inference(resolution,[],[f748,f415])). 39.42/5.43 tff(f5699,plain,( 39.42/5.43 ~spl43_224 | spl43_373 | ~spl43_374 | ~spl43_19 | ~spl43_333), 39.42/5.43 inference(avatar_split_clause,[],[f4287,f4258,f676,f5696,f5692,f2873])). 39.42/5.43 tff(f2873,plain,( 39.42/5.43 spl43_224 <=> inv_src1(sK27,sK15,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_224])])). 39.42/5.43 tff(f5692,plain,( 39.42/5.43 spl43_373 <=> mem(vertex,t2tb2(sK27),t2tb(sK20))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_373])])). 39.42/5.43 tff(f4287,plain,( 39.42/5.43 ~sort1(vertex,t2tb2(sK27)) | mem(vertex,t2tb2(sK27),t2tb(sK20)) | ~inv_src1(sK27,sK15,sK9) | (~spl43_19 | ~spl43_333)), 39.42/5.43 inference(resolution,[],[f4259,f1968])). 39.42/5.43 tff(f1968,plain,( 39.42/5.43 ( ! [X2 : set_vertex] : (mem(vertex,t2tb2(sK27),t2tb(X2)) | ~inv_src1(sK27,X2,sK9)) ) | ~spl43_19), 39.42/5.43 inference(resolution,[],[f851,f678])). 39.42/5.43 tff(f5612,plain,( 39.42/5.43 ~spl43_219 | spl43_371 | ~spl43_372 | ~spl43_9 | ~spl43_333), 39.42/5.43 inference(avatar_split_clause,[],[f4285,f4258,f622,f5609,f5605,f2806])). 39.42/5.43 tff(f2806,plain,( 39.42/5.43 spl43_219 <=> inv_src1(sK26,sK15,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_219])])). 39.42/5.43 tff(f5605,plain,( 39.42/5.43 spl43_371 <=> mem(vertex,t2tb2(sK26),t2tb(sK20))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_371])])). 39.42/5.43 tff(f4285,plain,( 39.42/5.43 ~sort1(vertex,t2tb2(sK26)) | mem(vertex,t2tb2(sK26),t2tb(sK20)) | ~inv_src1(sK26,sK15,sK9) | (~spl43_9 | ~spl43_333)), 39.42/5.43 inference(resolution,[],[f4259,f1966])). 39.42/5.43 tff(f1966,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK26),t2tb(X0)) | ~inv_src1(sK26,X0,sK9)) ) | ~spl43_9), 39.42/5.43 inference(resolution,[],[f851,f624])). 39.42/5.43 tff(f5602,plain,( 39.42/5.43 spl43_185 | spl43_293 | ~spl43_8), 39.42/5.43 inference(avatar_split_clause,[],[f873,f617,f3670,f2500])). 39.42/5.43 tff(f3670,plain,( 39.42/5.43 spl43_293 <=> mem(vertex,t2tb2(sK29(sK9)),t2tb(v1))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_293])])). 39.42/5.43 tff(f617,plain,( 39.42/5.43 spl43_8 <=> subset(vertex,t2tb(sK9),t2tb(v1))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_8])])). 39.42/5.43 tff(f873,plain,( 39.42/5.43 ( ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (mem(vertex,t2tb2(sK29(sK9)),t2tb(v1)) | ~path1(X0,X1,X2) | ~mem(vertex,t2tb2(X0),t2tb(sK9)) | mem(vertex,t2tb2(X1),t2tb(sK9))) ) | ~spl43_8), 39.42/5.43 inference(resolution,[],[f690,f397])). 39.42/5.43 tff(f690,plain,( 39.42/5.43 ( ! [X1 : uni] : (~mem(vertex,X1,t2tb(sK9)) | mem(vertex,X1,t2tb(v1))) ) | ~spl43_8), 39.42/5.43 inference(resolution,[],[f619,f425])). 39.42/5.43 tff(f619,plain,( 39.42/5.43 subset(vertex,t2tb(sK9),t2tb(v1)) | ~spl43_8), 39.42/5.43 inference(avatar_component_clause,[],[f617])). 39.42/5.43 tff(f5601,plain,( 39.42/5.43 ~spl43_369 | ~spl43_370 | spl43_290 | ~spl43_329), 39.42/5.43 inference(avatar_split_clause,[],[f5577,f4174,f3651,f5598,f5594])). 39.42/5.43 tff(f5594,plain,( 39.42/5.43 spl43_369 <=> inv_src1(sK29(sK9),sK9,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_369])])). 39.42/5.43 tff(f5598,plain,( 39.42/5.43 spl43_370 <=> sort1(vertex,t2tb2(sK29(sK9)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_370])])). 39.42/5.43 tff(f3651,plain,( 39.42/5.43 spl43_290 <=> mem(vertex,t2tb2(sK29(sK9)),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_290])])). 39.42/5.43 tff(f5577,plain,( 39.42/5.43 ~sort1(vertex,t2tb2(sK29(sK9))) | ~inv_src1(sK29(sK9),sK9,sK6) | (spl43_290 | ~spl43_329)), 39.42/5.43 inference(resolution,[],[f4237,f3653])). 39.42/5.43 tff(f3653,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK29(sK9)),t2tb(sK13)) | spl43_290), 39.42/5.43 inference(avatar_component_clause,[],[f3651])). 39.42/5.43 tff(f5560,plain,( 39.42/5.43 spl43_367 | spl43_368 | ~spl43_7), 39.42/5.43 inference(avatar_split_clause,[],[f833,f612,f5557,f5554])). 39.42/5.43 tff(f5557,plain,( 39.42/5.43 spl43_368 <=> mem(vertex,t2tb2(sK29(sK7)),t2tb(v1))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_368])])). 39.42/5.43 tff(f833,plain,( 39.42/5.43 ( ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (mem(vertex,t2tb2(sK29(sK7)),t2tb(v1)) | ~path1(X0,X1,X2) | ~mem(vertex,t2tb2(X0),t2tb(sK7)) | mem(vertex,t2tb2(X1),t2tb(sK7))) ) | ~spl43_7), 39.42/5.43 inference(resolution,[],[f688,f397])). 39.42/5.43 tff(f5552,plain,( 39.42/5.43 spl43_366 | ~spl43_365 | ~spl43_11 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f3903,f2773,f632,f5533,f5548])). 39.42/5.43 tff(f5548,plain,( 39.42/5.43 spl43_366 <=> mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(v1))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_366])])). 39.42/5.43 tff(f5533,plain,( 39.42/5.43 spl43_365 <=> inv_src1(sK30(g_succ1(sK12)),sK15,sK14)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_365])])). 39.42/5.43 tff(f3903,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK15,sK14) | mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(v1)) | (~spl43_11 | spl43_214)), 39.42/5.43 inference(resolution,[],[f2778,f699])). 39.42/5.43 tff(f5551,plain,( 39.42/5.43 spl43_366 | ~spl43_362 | ~spl43_8 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f3898,f2773,f617,f5507,f5548])). 39.42/5.43 tff(f5507,plain,( 39.42/5.43 spl43_362 <=> inv_src1(sK30(g_succ1(sK12)),sK9,sK14)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_362])])). 39.42/5.43 tff(f3898,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK9,sK14) | mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(v1)) | (~spl43_8 | spl43_214)), 39.42/5.43 inference(resolution,[],[f2778,f690])). 39.42/5.43 tff(f5546,plain,( 39.42/5.43 ~spl43_312 | spl43_214 | spl43_364), 39.42/5.43 inference(avatar_split_clause,[],[f5537,f5529,f2773,f3997])). 39.42/5.43 tff(f3997,plain,( 39.42/5.43 spl43_312 <=> inv_src1(sK30(g_succ1(sK12)),sK13,sK14)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_312])])). 39.42/5.43 tff(f5537,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK13,sK14) | (spl43_214 | spl43_364)), 39.42/5.43 inference(resolution,[],[f5531,f2778])). 39.42/5.43 tff(f5536,plain,( 39.42/5.43 ~spl43_364 | ~spl43_365 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f3892,f2773,f5533,f5529])). 39.42/5.43 tff(f3892,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK15,sK14) | ~mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(sK13)) | spl43_214), 39.42/5.43 inference(resolution,[],[f2778,f308])). 39.42/5.43 tff(f5527,plain,( 39.42/5.43 ~spl43_363 | ~spl43_150 | spl43_361), 39.42/5.43 inference(avatar_split_clause,[],[f5511,f5503,f2180,f5524])). 39.42/5.43 tff(f5524,plain,( 39.42/5.43 spl43_363 <=> inv_src1(sK30(g_succ1(sK12)),sK11,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_363])])). 39.42/5.43 tff(f5511,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK11,sK6) | (~spl43_150 | spl43_361)), 39.42/5.43 inference(resolution,[],[f5505,f2931])). 39.42/5.43 tff(f2931,plain,( 39.42/5.43 ( ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(sK7)) | ~inv_src1(X3,sK11,sK6)) ) | ~spl43_150), 39.42/5.43 inference(resolution,[],[f2195,f609])). 39.42/5.43 tff(f5521,plain,( 39.42/5.43 ~spl43_310 | spl43_214 | spl43_361), 39.42/5.43 inference(avatar_split_clause,[],[f5512,f5503,f2773,f3981])). 39.42/5.43 tff(f3981,plain,( 39.42/5.43 spl43_310 <=> inv_src1(sK30(g_succ1(sK12)),sK7,sK14)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_310])])). 39.42/5.43 tff(f5512,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK7,sK14) | (spl43_214 | spl43_361)), 39.42/5.43 inference(resolution,[],[f5505,f2778])). 39.42/5.43 tff(f5510,plain,( 39.42/5.43 ~spl43_361 | ~spl43_362 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f3887,f2773,f5507,f5503])). 39.42/5.43 tff(f3887,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK9,sK14) | ~mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(sK7)) | spl43_214), 39.42/5.43 inference(resolution,[],[f2778,f289])). 39.42/5.43 tff(f5293,plain,( 39.42/5.43 ~spl43_171 | spl43_360 | ~spl43_158), 39.42/5.43 inference(avatar_split_clause,[],[f2255,f2248,f5291,f2349])). 39.42/5.43 tff(f2349,plain,( 39.42/5.43 spl43_171 <=> sort1(vertex,t2tb2(sK19))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_171])])). 39.42/5.43 tff(f5291,plain,( 39.42/5.43 spl43_360 <=> ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK20)) | ~sort1(vertex,X0) | mem(vertex,X0,t2tb(sK15)) | t2tb2(sK19) = X0)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_360])])). 39.42/5.43 tff(f2255,plain,( 39.42/5.43 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK20)) | t2tb2(sK19) = X0 | mem(vertex,X0,t2tb(sK15)) | ~sort1(vertex,t2tb2(sK19)) | ~sort1(vertex,X0)) ) | ~spl43_158), 39.42/5.43 inference(superposition,[],[f437,f2250])). 39.42/5.43 tff(f437,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~mem(X0,X1,add(X0,X2,X3)) | X1 = X2 | mem(X0,X1,X3) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 39.42/5.43 inference(cnf_transformation,[],[f256])). 39.42/5.43 tff(f256,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : (! [X3 : uni] : ((mem(X0,X1,add(X0,X2,X3)) | (~mem(X0,X1,X3) & X1 != X2)) & (mem(X0,X1,X3) | X1 = X2 | ~mem(X0,X1,add(X0,X2,X3)))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 39.42/5.43 inference(flattening,[],[f255])). 39.42/5.43 tff(f255,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : (! [X3 : uni] : ((mem(X0,X1,add(X0,X2,X3)) | (~mem(X0,X1,X3) & X1 != X2)) & ((mem(X0,X1,X3) | X1 = X2) | ~mem(X0,X1,add(X0,X2,X3)))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 39.42/5.43 inference(nnf_transformation,[],[f187])). 39.42/5.43 tff(f187,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : (! [X3 : uni] : (mem(X0,X1,add(X0,X2,X3)) <=> (mem(X0,X1,X3) | X1 = X2)) | ~sort1(X0,X2) | ~sort1(X0,X1))), 39.42/5.43 inference(flattening,[],[f186])). 39.42/5.43 tff(f186,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : (mem(X0,X1,add(X0,X2,X3)) <=> (mem(X0,X1,X3) | X1 = X2)) | ~sort1(X0,X2)) | ~sort1(X0,X1))), 39.42/5.43 inference(ennf_transformation,[],[f140])). 39.42/5.43 tff(f140,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : (sort1(X0,X1) => (sort1(X0,X2) => ! [X3 : uni] : (mem(X0,X1,add(X0,X2,X3)) <=> (mem(X0,X1,X3) | X1 = X2))))), 39.42/5.43 inference(rectify,[],[f65])). 39.42/5.43 tff(f65,axiom,( 39.42/5.43 ! [X0 : ty,X3 : uni,X14 : uni] : (sort1(X0,X3) => (sort1(X0,X14) => ! [X4 : uni] : (mem(X0,X3,add(X0,X14,X4)) <=> (mem(X0,X3,X4) | X3 = X14))))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_def1)). 39.42/5.43 tff(f5236,plain,( 39.42/5.43 ~spl43_171 | spl43_359 | ~spl43_155), 39.42/5.43 inference(avatar_split_clause,[],[f2232,f2222,f5234,f2349])). 39.42/5.43 tff(f2232,plain,( 39.42/5.43 ( ! [X0 : uni] : (mem(vertex,X0,t2tb(sK18)) | t2tb2(sK19) = X0 | ~mem(vertex,X0,t2tb(sK14)) | ~sort1(vertex,t2tb2(sK19)) | ~sort1(vertex,X0)) ) | ~spl43_155), 39.42/5.43 inference(superposition,[],[f479,f2224])). 39.42/5.43 tff(f479,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X1,remove(X0,X2,X3)) | X1 = X2 | ~mem(X0,X1,X3) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 39.42/5.43 inference(cnf_transformation,[],[f267])). 39.42/5.43 tff(f267,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((((X1 != X2 & mem(X0,X1,X3)) | ~mem(X0,X1,remove(X0,X2,X3))) & (mem(X0,X1,remove(X0,X2,X3)) | X1 = X2 | ~mem(X0,X1,X3))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 39.42/5.43 inference(flattening,[],[f266])). 39.42/5.43 tff(f266,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((((X1 != X2 & mem(X0,X1,X3)) | ~mem(X0,X1,remove(X0,X2,X3))) & (mem(X0,X1,remove(X0,X2,X3)) | (X1 = X2 | ~mem(X0,X1,X3)))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 39.42/5.43 inference(nnf_transformation,[],[f208])). 39.42/5.43 tff(f208,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((X1 != X2 & mem(X0,X1,X3)) <=> mem(X0,X1,remove(X0,X2,X3))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 39.42/5.43 inference(flattening,[],[f207])). 39.42/5.43 tff(f207,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((((X1 != X2 & mem(X0,X1,X3)) <=> mem(X0,X1,remove(X0,X2,X3))) | ~sort1(X0,X2)) | ~sort1(X0,X1))), 39.42/5.43 inference(ennf_transformation,[],[f155])). 39.42/5.43 tff(f155,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (sort1(X0,X1) => (sort1(X0,X2) => ((X1 != X2 & mem(X0,X1,X3)) <=> mem(X0,X1,remove(X0,X2,X3)))))), 39.42/5.43 inference(rectify,[],[f11])). 39.42/5.43 tff(f11,axiom,( 39.42/5.43 ! [X0 : ty,X3 : uni,X14 : uni,X4 : uni] : (sort1(X0,X3) => (sort1(X0,X14) => ((X3 != X14 & mem(X0,X3,X4)) <=> mem(X0,X3,remove(X0,X14,X4)))))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remove_def1)). 39.42/5.43 tff(f5188,plain,( 39.42/5.43 ~spl43_165 | spl43_358 | ~spl43_152), 39.42/5.43 inference(avatar_split_clause,[],[f2207,f2189,f5186,f2300])). 39.42/5.43 tff(f2300,plain,( 39.42/5.43 spl43_165 <=> sort1(vertex,t2tb2(sK12))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_165])])). 39.42/5.43 tff(f5186,plain,( 39.42/5.43 spl43_358 <=> ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK13)) | ~sort1(vertex,X0) | mem(vertex,X0,t2tb(sK9)) | t2tb2(sK12) = X0)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_358])])). 39.42/5.43 tff(f2207,plain,( 39.42/5.43 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK13)) | t2tb2(sK12) = X0 | mem(vertex,X0,t2tb(sK9)) | ~sort1(vertex,t2tb2(sK12)) | ~sort1(vertex,X0)) ) | ~spl43_152), 39.42/5.43 inference(superposition,[],[f437,f2191])). 39.42/5.43 tff(f5140,plain,( 39.42/5.43 ~spl43_165 | spl43_357 | ~spl43_146), 39.42/5.43 inference(avatar_split_clause,[],[f2175,f2146,f5138,f2300])). 39.42/5.43 tff(f2175,plain,( 39.42/5.43 ( ! [X4 : uni] : (mem(vertex,X4,t2tb(sK11)) | t2tb2(sK12) = X4 | ~mem(vertex,X4,t2tb(sK7)) | ~sort1(vertex,t2tb2(sK12)) | ~sort1(vertex,X4)) ) | ~spl43_146), 39.42/5.43 inference(superposition,[],[f479,f2148])). 39.42/5.43 tff(f5024,plain,( 39.42/5.43 ~spl43_159 | spl43_356 | ~spl43_144), 39.42/5.43 inference(avatar_split_clause,[],[f2116,f2109,f5022,f2262])). 39.42/5.43 tff(f5022,plain,( 39.42/5.43 spl43_356 <=> ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK4)) | ~sort1(vertex,X0) | mem(vertex,X0,empty(vertex)) | t2tb2(sK1) = X0)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_356])])). 39.42/5.43 tff(f2116,plain,( 39.42/5.43 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK4)) | t2tb2(sK1) = X0 | mem(vertex,X0,empty(vertex)) | ~sort1(vertex,t2tb2(sK1)) | ~sort1(vertex,X0)) ) | ~spl43_144), 39.42/5.43 inference(superposition,[],[f437,f2111])). 39.42/5.43 tff(f4804,plain,( 39.42/5.43 spl43_355 | ~spl43_155 | ~spl43_354), 39.42/5.43 inference(avatar_split_clause,[],[f4799,f4787,f2222,f4801])). 39.42/5.43 tff(f4801,plain,( 39.42/5.43 spl43_355 <=> t2tb(sK18) = remove(vertex,t2tb2(sK19),t2tb(sK18))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_355])])). 39.42/5.43 tff(f4787,plain,( 39.42/5.43 spl43_354 <=> t2tb(sK14) = add(vertex,t2tb2(sK19),t2tb(sK18))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_354])])). 39.42/5.43 tff(f4799,plain,( 39.42/5.43 t2tb(sK18) = remove(vertex,t2tb2(sK19),t2tb(sK18)) | (~spl43_155 | ~spl43_354)), 39.42/5.43 inference(forward_demodulation,[],[f4796,f2224])). 39.42/5.43 tff(f4796,plain,( 39.42/5.43 remove(vertex,t2tb2(sK19),t2tb(sK14)) = remove(vertex,t2tb2(sK19),t2tb(sK18)) | ~spl43_354), 39.42/5.43 inference(superposition,[],[f424,f4789])). 39.42/5.43 tff(f4789,plain,( 39.42/5.43 t2tb(sK14) = add(vertex,t2tb2(sK19),t2tb(sK18)) | ~spl43_354), 39.42/5.43 inference(avatar_component_clause,[],[f4787])). 39.42/5.43 tff(f424,plain,( 39.42/5.43 ( ! [X2 : uni,X0 : ty,X1 : uni] : (remove(X0,X1,X2) = remove(X0,X1,add(X0,X1,X2))) )), 39.42/5.43 inference(cnf_transformation,[],[f134])). 39.42/5.43 tff(f134,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : remove(X0,X1,X2) = remove(X0,X1,add(X0,X1,X2))), 39.42/5.43 inference(rectify,[],[f57])). 39.42/5.43 tff(f57,axiom,( 39.42/5.43 ! [X0 : ty,X3 : uni,X4 : uni] : remove(X0,X3,X4) = remove(X0,X3,add(X0,X3,X4))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remove_add)). 39.42/5.43 tff(f4792,plain,( 39.42/5.43 spl43_353), 39.42/5.43 inference(avatar_contradiction_clause,[],[f4791])). 39.42/5.43 tff(f4791,plain,( 39.42/5.43 $false | spl43_353), 39.42/5.43 inference(resolution,[],[f4785,f390])). 39.42/5.43 tff(f390,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (sort1(set(vertex),t2tb(X0))) )), 39.42/5.43 inference(cnf_transformation,[],[f105])). 39.42/5.43 tff(f105,plain,( 39.42/5.43 ! [X0 : set_vertex] : sort1(set(vertex),t2tb(X0))), 39.42/5.43 inference(rectify,[],[f53])). 39.42/5.43 tff(f53,axiom,( 39.42/5.43 ! [X3 : set_vertex] : sort1(set(vertex),t2tb(X3))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort)). 39.42/5.43 tff(f4785,plain,( 39.42/5.43 ~sort1(set(vertex),t2tb(sK14)) | spl43_353), 39.42/5.43 inference(avatar_component_clause,[],[f4783])). 39.42/5.43 tff(f4783,plain,( 39.42/5.43 spl43_353 <=> sort1(set(vertex),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_353])])). 39.42/5.43 tff(f4790,plain,( 39.42/5.43 ~spl43_353 | ~spl43_14 | spl43_354 | ~spl43_155), 39.42/5.43 inference(avatar_split_clause,[],[f2231,f2222,f4787,f647,f4783])). 39.42/5.43 tff(f2231,plain,( 39.42/5.43 t2tb(sK14) = add(vertex,t2tb2(sK19),t2tb(sK18)) | ~mem(vertex,t2tb2(sK19),t2tb(sK14)) | ~sort1(set(vertex),t2tb(sK14)) | ~spl43_155), 39.42/5.43 inference(superposition,[],[f442,f2224])). 39.42/5.43 tff(f442,plain,( 39.42/5.43 ( ! [X2 : uni,X0 : ty,X1 : uni] : (add(X0,X1,remove(X0,X1,X2)) = X2 | ~mem(X0,X1,X2) | ~sort1(set(X0),X2)) )), 39.42/5.43 inference(cnf_transformation,[],[f192])). 39.42/5.43 tff(f192,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : (add(X0,X1,remove(X0,X1,X2)) = X2 | ~mem(X0,X1,X2) | ~sort1(set(X0),X2))), 39.42/5.43 inference(flattening,[],[f191])). 39.42/5.43 tff(f191,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : ((add(X0,X1,remove(X0,X1,X2)) = X2 | ~mem(X0,X1,X2)) | ~sort1(set(X0),X2))), 39.42/5.43 inference(ennf_transformation,[],[f142])). 39.42/5.43 tff(f142,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : (sort1(set(X0),X2) => (mem(X0,X1,X2) => add(X0,X1,remove(X0,X1,X2)) = X2))), 39.42/5.43 inference(rectify,[],[f19])). 39.42/5.43 tff(f19,axiom,( 39.42/5.43 ! [X0 : ty,X3 : uni,X4 : uni] : (sort1(set(X0),X4) => (mem(X0,X3,X4) => add(X0,X3,remove(X0,X3,X4)) = X4))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_remove)). 39.42/5.43 tff(f4766,plain,( 39.42/5.43 spl43_352 | ~spl43_146 | ~spl43_351), 39.42/5.43 inference(avatar_split_clause,[],[f4761,f4749,f2146,f4763])). 39.42/5.43 tff(f4763,plain,( 39.42/5.43 spl43_352 <=> t2tb(sK11) = remove(vertex,t2tb2(sK12),t2tb(sK11))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_352])])). 39.42/5.43 tff(f4749,plain,( 39.42/5.43 spl43_351 <=> t2tb(sK7) = add(vertex,t2tb2(sK12),t2tb(sK11))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_351])])). 39.42/5.43 tff(f4761,plain,( 39.42/5.43 t2tb(sK11) = remove(vertex,t2tb2(sK12),t2tb(sK11)) | (~spl43_146 | ~spl43_351)), 39.42/5.43 inference(forward_demodulation,[],[f4758,f2148])). 39.42/5.43 tff(f4758,plain,( 39.42/5.43 remove(vertex,t2tb2(sK12),t2tb(sK7)) = remove(vertex,t2tb2(sK12),t2tb(sK11)) | ~spl43_351), 39.42/5.43 inference(superposition,[],[f424,f4751])). 39.42/5.43 tff(f4751,plain,( 39.42/5.43 t2tb(sK7) = add(vertex,t2tb2(sK12),t2tb(sK11)) | ~spl43_351), 39.42/5.43 inference(avatar_component_clause,[],[f4749])). 39.42/5.43 tff(f4754,plain,( 39.42/5.43 spl43_350), 39.42/5.43 inference(avatar_contradiction_clause,[],[f4753])). 39.42/5.43 tff(f4753,plain,( 39.42/5.43 $false | spl43_350), 39.42/5.43 inference(resolution,[],[f4747,f390])). 39.42/5.43 tff(f4747,plain,( 39.42/5.43 ~sort1(set(vertex),t2tb(sK7)) | spl43_350), 39.42/5.43 inference(avatar_component_clause,[],[f4745])). 39.42/5.43 tff(f4745,plain,( 39.42/5.43 spl43_350 <=> sort1(set(vertex),t2tb(sK7))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_350])])). 39.42/5.43 tff(f4752,plain,( 39.42/5.43 ~spl43_350 | ~spl43_10 | spl43_351 | ~spl43_146), 39.42/5.43 inference(avatar_split_clause,[],[f2174,f2146,f4749,f627,f4745])). 39.42/5.43 tff(f2174,plain,( 39.42/5.43 t2tb(sK7) = add(vertex,t2tb2(sK12),t2tb(sK11)) | ~mem(vertex,t2tb2(sK12),t2tb(sK7)) | ~sort1(set(vertex),t2tb(sK7)) | ~spl43_146), 39.42/5.43 inference(superposition,[],[f442,f2148])). 39.42/5.43 tff(f4447,plain,( 39.42/5.43 spl43_324 | ~spl43_349 | ~spl43_156 | spl43_297), 39.42/5.43 inference(avatar_split_clause,[],[f4206,f3697,f2237,f4444,f4116])). 39.42/5.43 tff(f4116,plain,( 39.42/5.43 spl43_324 <=> mem(vertex,t2tb2(sK29(sK15)),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_324])])). 39.42/5.43 tff(f4444,plain,( 39.42/5.43 spl43_349 <=> inv_src1(sK29(sK15),sK18,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_349])])). 39.42/5.43 tff(f3697,plain,( 39.42/5.43 spl43_297 <=> mem(vertex,t2tb2(sK29(sK15)),t2tb(sK7))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_297])])). 39.42/5.43 tff(f4206,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK18,sK7) | mem(vertex,t2tb2(sK29(sK15)),t2tb(sK14)) | (~spl43_156 | spl43_297)), 39.42/5.43 inference(resolution,[],[f3708,f2242])). 39.42/5.43 tff(f3708,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK29(sK15)),t2tb(X0)) | ~inv_src1(sK29(sK15),X0,sK7)) ) | spl43_297), 39.42/5.43 inference(resolution,[],[f3699,f475])). 39.42/5.43 tff(f3699,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK29(sK15)),t2tb(sK7)) | spl43_297), 39.42/5.43 inference(avatar_component_clause,[],[f3697])). 39.42/5.43 tff(f4441,plain,( 39.42/5.43 spl43_301 | ~spl43_348 | ~spl43_11 | spl43_297), 39.42/5.43 inference(avatar_split_clause,[],[f4205,f3697,f632,f4438,f3867])). 39.42/5.43 tff(f4438,plain,( 39.42/5.43 spl43_348 <=> inv_src1(sK29(sK15),sK15,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_348])])). 39.42/5.43 tff(f4205,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK15,sK7) | mem(vertex,t2tb2(sK29(sK15)),t2tb(v1)) | (~spl43_11 | spl43_297)), 39.42/5.43 inference(resolution,[],[f3708,f699])). 39.42/5.43 tff(f4435,plain,( 39.42/5.43 spl43_301 | ~spl43_347 | ~spl43_7 | ~spl43_146 | spl43_297), 39.42/5.43 inference(avatar_split_clause,[],[f4201,f3697,f2146,f612,f4432,f3867])). 39.42/5.43 tff(f4432,plain,( 39.42/5.43 spl43_347 <=> inv_src1(sK29(sK15),sK11,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_347])])). 39.42/5.43 tff(f4201,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK11,sK7) | mem(vertex,t2tb2(sK29(sK15)),t2tb(v1)) | (~spl43_7 | ~spl43_146 | spl43_297)), 39.42/5.43 inference(resolution,[],[f3708,f2167])). 39.42/5.43 tff(f2167,plain,( 39.42/5.43 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK11)) | mem(vertex,X0,t2tb(v1))) ) | (~spl43_7 | ~spl43_146)), 39.42/5.43 inference(superposition,[],[f828,f2148])). 39.42/5.43 tff(f828,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : uni] : (~mem(vertex,X2,remove(vertex,X3,t2tb(sK7))) | mem(vertex,X2,t2tb(v1))) ) | ~spl43_7), 39.42/5.43 inference(resolution,[],[f819,f425])). 39.42/5.43 tff(f819,plain,( 39.42/5.43 ( ! [X1 : uni] : (subset(vertex,remove(vertex,X1,t2tb(sK7)),t2tb(v1))) ) | ~spl43_7), 39.42/5.43 inference(resolution,[],[f687,f422])). 39.42/5.43 tff(f422,plain,( 39.42/5.43 ( ! [X2 : uni,X0 : ty,X1 : uni] : (subset(X0,remove(X0,X1,X2),X2)) )), 39.42/5.43 inference(cnf_transformation,[],[f132])). 39.42/5.43 tff(f132,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni] : subset(X0,remove(X0,X1,X2),X2)), 39.42/5.43 inference(rectify,[],[f58])). 39.42/5.43 tff(f58,axiom,( 39.42/5.43 ! [X0 : ty,X3 : uni,X4 : uni] : subset(X0,remove(X0,X3,X4),X4)), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_remove)). 39.42/5.43 tff(f687,plain,( 39.42/5.43 ( ! [X0 : uni] : (~subset(vertex,X0,t2tb(sK7)) | subset(vertex,X0,t2tb(v1))) ) | ~spl43_7), 39.42/5.43 inference(resolution,[],[f614,f483])). 39.42/5.43 tff(f483,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~subset(X0,X2,X3) | subset(X0,X1,X3) | ~subset(X0,X1,X2)) )), 39.42/5.43 inference(cnf_transformation,[],[f212])). 39.42/5.43 tff(f212,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (subset(X0,X1,X3) | ~subset(X0,X2,X3) | ~subset(X0,X1,X2))), 39.42/5.43 inference(flattening,[],[f211])). 39.42/5.43 tff(f211,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((subset(X0,X1,X3) | ~subset(X0,X2,X3)) | ~subset(X0,X1,X2))), 39.42/5.43 inference(ennf_transformation,[],[f157])). 39.42/5.43 tff(f157,plain,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (subset(X0,X1,X2) => (subset(X0,X2,X3) => subset(X0,X1,X3)))), 39.42/5.43 inference(rectify,[],[f30])). 39.42/5.43 tff(f30,axiom,( 39.42/5.43 ! [X0 : ty,X1 : uni,X2 : uni,X23 : uni] : (subset(X0,X1,X2) => (subset(X0,X2,X23) => subset(X0,X1,X23)))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_trans)). 39.42/5.43 tff(f4430,plain,( 39.42/5.43 spl43_301 | ~spl43_346 | ~spl43_8 | spl43_297), 39.42/5.43 inference(avatar_split_clause,[],[f4200,f3697,f617,f4427,f3867])). 39.42/5.43 tff(f4427,plain,( 39.42/5.43 spl43_346 <=> inv_src1(sK29(sK15),sK9,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_346])])). 39.42/5.43 tff(f4200,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK9,sK7) | mem(vertex,t2tb2(sK29(sK15)),t2tb(v1)) | (~spl43_8 | spl43_297)), 39.42/5.43 inference(resolution,[],[f3708,f690])). 39.42/5.43 tff(f4425,plain,( 39.42/5.43 spl43_128 | spl43_344), 39.42/5.43 inference(avatar_split_clause,[],[f4424,f4416,f1669])). 39.42/5.43 tff(f1669,plain,( 39.42/5.43 spl43_128 <=> is_empty(vertex,t2tb(sK15))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_128])])). 39.42/5.43 tff(f4416,plain,( 39.42/5.43 spl43_344 <=> sort1(vertex,sK31(vertex,t2tb(sK15)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_344])])). 39.42/5.43 tff(f4424,plain,( 39.42/5.43 is_empty(vertex,t2tb(sK15)) | spl43_344), 39.42/5.43 inference(resolution,[],[f4418,f406])). 39.42/5.43 tff(f4418,plain,( 39.42/5.43 ~sort1(vertex,sK31(vertex,t2tb(sK15))) | spl43_344), 39.42/5.43 inference(avatar_component_clause,[],[f4416])). 39.42/5.43 tff(f4423,plain,( 39.42/5.43 spl43_128 | ~spl43_344 | ~spl43_345), 39.42/5.43 inference(avatar_split_clause,[],[f1788,f4420,f4416,f1669])). 39.42/5.43 tff(f4420,plain,( 39.42/5.43 spl43_345 <=> mem(vertex,sK31(vertex,t2tb(sK15)),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_345])])). 39.42/5.43 tff(f1788,plain,( 39.42/5.43 ~mem(vertex,sK31(vertex,t2tb(sK15)),t2tb(sK13)) | ~sort1(vertex,sK31(vertex,t2tb(sK15))) | is_empty(vertex,t2tb(sK15))), 39.42/5.43 inference(resolution,[],[f864,f407])). 39.42/5.43 tff(f864,plain,( 39.42/5.43 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK15)) | ~mem(vertex,X0,t2tb(sK13)) | ~sort1(vertex,X0)) )), 39.42/5.43 inference(superposition,[],[f308,f395])). 39.42/5.43 tff(f4414,plain,( 39.42/5.43 spl43_321 | ~spl43_343 | ~spl43_156 | spl43_290), 39.42/5.43 inference(avatar_split_clause,[],[f4155,f3651,f2237,f4411,f4100])). 39.42/5.43 tff(f4100,plain,( 39.42/5.43 spl43_321 <=> mem(vertex,t2tb2(sK29(sK9)),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_321])])). 39.42/5.43 tff(f4411,plain,( 39.42/5.43 spl43_343 <=> inv_src1(sK29(sK9),sK18,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_343])])). 39.42/5.43 tff(f4155,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK18,sK13) | mem(vertex,t2tb2(sK29(sK9)),t2tb(sK14)) | (~spl43_156 | spl43_290)), 39.42/5.43 inference(resolution,[],[f3661,f2242])). 39.42/5.43 tff(f3661,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK29(sK9)),t2tb(X0)) | ~inv_src1(sK29(sK9),X0,sK13)) ) | spl43_290), 39.42/5.43 inference(resolution,[],[f3653,f475])). 39.42/5.43 tff(f4409,plain,( 39.42/5.43 spl43_341), 39.42/5.43 inference(avatar_contradiction_clause,[],[f4408])). 39.42/5.43 tff(f4408,plain,( 39.42/5.43 $false | spl43_341), 39.42/5.43 inference(resolution,[],[f4402,f404])). 39.42/5.43 tff(f4402,plain,( 39.42/5.43 ~sort1(vertex,choose(vertex,t2tb(sK15))) | spl43_341), 39.42/5.43 inference(avatar_component_clause,[],[f4400])). 39.42/5.43 tff(f4400,plain,( 39.42/5.43 spl43_341 <=> sort1(vertex,choose(vertex,t2tb(sK15)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_341])])). 39.42/5.43 tff(f4407,plain,( 39.42/5.43 spl43_128 | ~spl43_341 | ~spl43_342), 39.42/5.43 inference(avatar_split_clause,[],[f1775,f4404,f4400,f1669])). 39.42/5.43 tff(f4404,plain,( 39.42/5.43 spl43_342 <=> mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_342])])). 39.42/5.43 tff(f1775,plain,( 39.42/5.43 ~mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK13)) | ~sort1(vertex,choose(vertex,t2tb(sK15))) | is_empty(vertex,t2tb(sK15))), 39.42/5.43 inference(resolution,[],[f864,f409])). 39.42/5.43 tff(f4398,plain,( 39.42/5.43 spl43_293 | ~spl43_340 | ~spl43_11 | spl43_290), 39.42/5.43 inference(avatar_split_clause,[],[f4154,f3651,f632,f4395,f3670])). 39.42/5.43 tff(f4395,plain,( 39.42/5.43 spl43_340 <=> inv_src1(sK29(sK9),sK15,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_340])])). 39.42/5.43 tff(f4154,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK15,sK13) | mem(vertex,t2tb2(sK29(sK9)),t2tb(v1)) | (~spl43_11 | spl43_290)), 39.42/5.43 inference(resolution,[],[f3661,f699])). 39.42/5.43 tff(f4393,plain,( 39.42/5.43 spl43_125 | spl43_338), 39.42/5.43 inference(avatar_split_clause,[],[f4392,f4384,f1653])). 39.42/5.43 tff(f4384,plain,( 39.42/5.43 spl43_338 <=> sort1(vertex,sK31(vertex,t2tb(sK9)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_338])])). 39.42/5.43 tff(f4392,plain,( 39.42/5.43 is_empty(vertex,t2tb(sK9)) | spl43_338), 39.42/5.43 inference(resolution,[],[f4386,f406])). 39.42/5.43 tff(f4386,plain,( 39.42/5.43 ~sort1(vertex,sK31(vertex,t2tb(sK9))) | spl43_338), 39.42/5.43 inference(avatar_component_clause,[],[f4384])). 39.42/5.43 tff(f4391,plain,( 39.42/5.43 spl43_125 | ~spl43_338 | ~spl43_339), 39.42/5.43 inference(avatar_split_clause,[],[f1770,f4388,f4384,f1653])). 39.42/5.43 tff(f4388,plain,( 39.42/5.43 spl43_339 <=> mem(vertex,sK31(vertex,t2tb(sK9)),t2tb(sK7))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_339])])). 39.42/5.43 tff(f1770,plain,( 39.42/5.43 ~mem(vertex,sK31(vertex,t2tb(sK9)),t2tb(sK7)) | ~sort1(vertex,sK31(vertex,t2tb(sK9))) | is_empty(vertex,t2tb(sK9))), 39.42/5.43 inference(resolution,[],[f852,f407])). 39.42/5.43 tff(f852,plain,( 39.42/5.43 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK9)) | ~mem(vertex,X0,t2tb(sK7)) | ~sort1(vertex,X0)) )), 39.42/5.43 inference(superposition,[],[f289,f395])). 39.42/5.43 tff(f4382,plain,( 39.42/5.43 spl43_336), 39.42/5.43 inference(avatar_contradiction_clause,[],[f4381])). 39.42/5.43 tff(f4381,plain,( 39.42/5.43 $false | spl43_336), 39.42/5.43 inference(resolution,[],[f4375,f404])). 39.42/5.43 tff(f4375,plain,( 39.42/5.43 ~sort1(vertex,choose(vertex,t2tb(sK9))) | spl43_336), 39.42/5.43 inference(avatar_component_clause,[],[f4373])). 39.42/5.43 tff(f4373,plain,( 39.42/5.43 spl43_336 <=> sort1(vertex,choose(vertex,t2tb(sK9)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_336])])). 39.42/5.43 tff(f4380,plain,( 39.42/5.43 spl43_125 | ~spl43_336 | ~spl43_337), 39.42/5.43 inference(avatar_split_clause,[],[f1757,f4377,f4373,f1653])). 39.42/5.43 tff(f4377,plain,( 39.42/5.43 spl43_337 <=> mem(vertex,choose(vertex,t2tb(sK9)),t2tb(sK7))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_337])])). 39.42/5.43 tff(f1757,plain,( 39.42/5.43 ~mem(vertex,choose(vertex,t2tb(sK9)),t2tb(sK7)) | ~sort1(vertex,choose(vertex,t2tb(sK9))) | is_empty(vertex,t2tb(sK9))), 39.42/5.43 inference(resolution,[],[f852,f409])). 39.42/5.43 tff(f4371,plain,( 39.42/5.43 spl43_293 | ~spl43_335 | ~spl43_7 | ~spl43_146 | spl43_290), 39.42/5.43 inference(avatar_split_clause,[],[f4150,f3651,f2146,f612,f4368,f3670])). 39.42/5.43 tff(f4368,plain,( 39.42/5.43 spl43_335 <=> inv_src1(sK29(sK9),sK11,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_335])])). 39.42/5.43 tff(f4150,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK11,sK13) | mem(vertex,t2tb2(sK29(sK9)),t2tb(v1)) | (~spl43_7 | ~spl43_146 | spl43_290)), 39.42/5.43 inference(resolution,[],[f3661,f2167])). 39.42/5.43 tff(f4366,plain,( 39.42/5.43 spl43_293 | ~spl43_334 | ~spl43_8 | spl43_290), 39.42/5.43 inference(avatar_split_clause,[],[f4149,f3651,f617,f4363,f3670])). 39.42/5.43 tff(f4363,plain,( 39.42/5.43 spl43_334 <=> inv_src1(sK29(sK9),sK9,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_334])])). 39.42/5.43 tff(f4149,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK9,sK13) | mem(vertex,t2tb2(sK29(sK9)),t2tb(v1)) | (~spl43_8 | spl43_290)), 39.42/5.43 inference(resolution,[],[f3661,f690])). 39.42/5.43 tff(f4260,plain,( 39.42/5.43 ~spl43_171 | spl43_333 | ~spl43_158), 39.42/5.43 inference(avatar_split_clause,[],[f2257,f2248,f4258,f2349])). 39.42/5.43 tff(f2257,plain,( 39.42/5.43 ( ! [X1 : uni] : (mem(vertex,X1,t2tb(sK20)) | ~mem(vertex,X1,t2tb(sK15)) | ~sort1(vertex,t2tb2(sK19)) | ~sort1(vertex,X1)) ) | ~spl43_158), 39.42/5.43 inference(superposition,[],[f439,f2250])). 39.42/5.43 tff(f439,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X1,add(X0,X2,X3)) | ~mem(X0,X1,X3) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 39.42/5.43 inference(cnf_transformation,[],[f256])). 39.42/5.43 tff(f4256,plain,( 39.42/5.43 ~spl43_332 | spl43_297), 39.42/5.43 inference(avatar_split_clause,[],[f4184,f3697,f4253])). 39.42/5.43 tff(f4253,plain,( 39.42/5.43 spl43_332 <=> inv_src1(sK29(sK15),sK6,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_332])])). 39.42/5.43 tff(f4184,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK6,sK7) | spl43_297), 39.42/5.43 inference(resolution,[],[f3708,f280])). 39.42/5.43 tff(f4251,plain,( 39.42/5.43 ~spl43_331 | spl43_205 | spl43_297), 39.42/5.43 inference(avatar_split_clause,[],[f4178,f3697,f2660,f4248])). 39.42/5.43 tff(f4248,plain,( 39.42/5.43 spl43_331 <=> inv_src1(sK29(sK15),sK13,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_331])])). 39.42/5.43 tff(f2660,plain,( 39.42/5.43 spl43_205 <=> mem(vertex,t2tb2(sK29(sK15)),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_205])])). 39.42/5.43 tff(f4178,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK13,sK7) | (spl43_205 | spl43_297)), 39.42/5.43 inference(resolution,[],[f3708,f2662])). 39.42/5.43 tff(f2662,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK29(sK15)),t2tb(sK13)) | spl43_205), 39.42/5.43 inference(avatar_component_clause,[],[f2660])). 39.42/5.43 tff(f4246,plain,( 39.42/5.43 ~spl43_330 | spl43_297), 39.42/5.43 inference(avatar_split_clause,[],[f4177,f3697,f4243])). 39.42/5.43 tff(f4243,plain,( 39.42/5.43 spl43_330 <=> inv_src1(sK29(sK15),sK7,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_330])])). 39.42/5.43 tff(f4177,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK7,sK7) | spl43_297), 39.42/5.43 inference(resolution,[],[f3708,f3699])). 39.42/5.43 tff(f4176,plain,( 39.42/5.43 ~spl43_165 | spl43_329 | ~spl43_152), 39.42/5.43 inference(avatar_split_clause,[],[f2209,f2189,f4174,f2300])). 39.42/5.43 tff(f2209,plain,( 39.42/5.43 ( ! [X1 : uni] : (mem(vertex,X1,t2tb(sK13)) | ~mem(vertex,X1,t2tb(sK9)) | ~sort1(vertex,t2tb2(sK12)) | ~sort1(vertex,X1)) ) | ~spl43_152), 39.42/5.43 inference(superposition,[],[f439,f2191])). 39.42/5.43 tff(f4172,plain,( 39.42/5.43 ~spl43_328 | spl43_290), 39.42/5.43 inference(avatar_split_clause,[],[f4133,f3651,f4169])). 39.42/5.43 tff(f4169,plain,( 39.42/5.43 spl43_328 <=> inv_src1(sK29(sK9),sK6,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_328])])). 39.42/5.43 tff(f4133,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK6,sK13) | spl43_290), 39.42/5.43 inference(resolution,[],[f3661,f280])). 39.42/5.43 tff(f4167,plain,( 39.42/5.43 ~spl43_327 | spl43_290), 39.42/5.43 inference(avatar_split_clause,[],[f4127,f3651,f4164])). 39.42/5.43 tff(f4164,plain,( 39.42/5.43 spl43_327 <=> inv_src1(sK29(sK9),sK13,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_327])])). 39.42/5.43 tff(f4127,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK13,sK13) | spl43_290), 39.42/5.43 inference(resolution,[],[f3661,f3653])). 39.42/5.43 tff(f4162,plain,( 39.42/5.43 ~spl43_326 | spl43_186 | spl43_290), 39.42/5.43 inference(avatar_split_clause,[],[f4126,f3651,f2503,f4159])). 39.42/5.43 tff(f4159,plain,( 39.42/5.43 spl43_326 <=> inv_src1(sK29(sK9),sK7,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_326])])). 39.42/5.43 tff(f2503,plain,( 39.42/5.43 spl43_186 <=> mem(vertex,t2tb2(sK29(sK9)),t2tb(sK7))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_186])])). 39.42/5.43 tff(f4126,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK7,sK13) | (spl43_186 | spl43_290)), 39.42/5.43 inference(resolution,[],[f3661,f2505])). 39.42/5.43 tff(f2505,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK29(sK9)),t2tb(sK7)) | spl43_186), 39.42/5.43 inference(avatar_component_clause,[],[f2503])). 39.42/5.43 tff(f4123,plain,( 39.42/5.43 spl43_324 | ~spl43_325 | ~spl43_156 | spl43_205), 39.42/5.43 inference(avatar_split_clause,[],[f3498,f2660,f2237,f4120,f4116])). 39.42/5.43 tff(f4120,plain,( 39.42/5.43 spl43_325 <=> inv_src1(sK29(sK15),sK18,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_325])])). 39.42/5.43 tff(f3498,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK18,sK13) | mem(vertex,t2tb2(sK29(sK15)),t2tb(sK14)) | (~spl43_156 | spl43_205)), 39.42/5.43 inference(resolution,[],[f2665,f2242])). 39.42/5.43 tff(f2665,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK29(sK15)),t2tb(X0)) | ~inv_src1(sK29(sK15),X0,sK13)) ) | spl43_205), 39.42/5.43 inference(resolution,[],[f2662,f475])). 39.42/5.43 tff(f4114,plain,( 39.42/5.43 spl43_297 | ~spl43_323 | ~spl43_150 | spl43_205), 39.42/5.43 inference(avatar_split_clause,[],[f3494,f2660,f2180,f4111,f3697])). 39.42/5.43 tff(f4111,plain,( 39.42/5.43 spl43_323 <=> inv_src1(sK29(sK15),sK11,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_323])])). 39.42/5.43 tff(f3494,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK11,sK13) | mem(vertex,t2tb2(sK29(sK15)),t2tb(sK7)) | (~spl43_150 | spl43_205)), 39.42/5.43 inference(resolution,[],[f2665,f2195])). 39.42/5.43 tff(f4107,plain,( 39.42/5.43 spl43_321 | ~spl43_322 | ~spl43_156 | spl43_186), 39.42/5.43 inference(avatar_split_clause,[],[f3457,f2503,f2237,f4104,f4100])). 39.42/5.43 tff(f4104,plain,( 39.42/5.43 spl43_322 <=> inv_src1(sK29(sK9),sK18,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_322])])). 39.42/5.43 tff(f3457,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK18,sK7) | mem(vertex,t2tb2(sK29(sK9)),t2tb(sK14)) | (~spl43_156 | spl43_186)), 39.42/5.43 inference(resolution,[],[f2589,f2242])). 39.42/5.43 tff(f2589,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK29(sK9)),t2tb(X0)) | ~inv_src1(sK29(sK9),X0,sK7)) ) | spl43_186), 39.42/5.43 inference(resolution,[],[f2505,f475])). 39.42/5.43 tff(f4098,plain,( 39.42/5.43 spl43_186 | ~spl43_320 | ~spl43_150 | spl43_186), 39.42/5.43 inference(avatar_split_clause,[],[f3453,f2503,f2180,f4095,f2503])). 39.42/5.43 tff(f4095,plain,( 39.42/5.43 spl43_320 <=> inv_src1(sK29(sK9),sK11,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_320])])). 39.42/5.43 tff(f3453,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK11,sK7) | mem(vertex,t2tb2(sK29(sK9)),t2tb(sK7)) | (~spl43_150 | spl43_186)), 39.42/5.43 inference(resolution,[],[f2589,f2195])). 39.42/5.43 tff(f4091,plain,( 39.42/5.43 spl43_317 | spl43_319 | ~spl43_156), 39.42/5.43 inference(avatar_split_clause,[],[f2970,f2237,f4088,f4078])). 39.42/5.43 tff(f4088,plain,( 39.42/5.43 spl43_319 <=> mem(vertex,sK31(vertex,t2tb(sK18)),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_319])])). 39.42/5.43 tff(f2970,plain,( 39.42/5.43 mem(vertex,sK31(vertex,t2tb(sK18)),t2tb(sK14)) | is_empty(vertex,t2tb(sK18)) | ~spl43_156), 39.42/5.43 inference(resolution,[],[f2242,f407])). 39.42/5.43 tff(f4085,plain,( 39.42/5.43 spl43_317 | spl43_318 | ~spl43_156), 39.42/5.43 inference(avatar_split_clause,[],[f2952,f2237,f4082,f4078])). 39.42/5.43 tff(f4082,plain,( 39.42/5.43 spl43_318 <=> mem(vertex,choose(vertex,t2tb(sK18)),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_318])])). 39.42/5.43 tff(f2952,plain,( 39.42/5.43 mem(vertex,choose(vertex,t2tb(sK18)),t2tb(sK14)) | is_empty(vertex,t2tb(sK18)) | ~spl43_156), 39.42/5.43 inference(resolution,[],[f2242,f409])). 39.42/5.43 tff(f4074,plain,( 39.42/5.43 spl43_313 | spl43_316 | ~spl43_150), 39.42/5.43 inference(avatar_split_clause,[],[f2933,f2180,f4071,f4054])). 39.42/5.43 tff(f2933,plain,( 39.42/5.43 mem(vertex,sK31(vertex,t2tb(sK11)),t2tb(sK7)) | is_empty(vertex,t2tb(sK11)) | ~spl43_150), 39.42/5.43 inference(resolution,[],[f2195,f407])). 39.42/5.43 tff(f4068,plain,( 39.42/5.43 spl43_315 | ~spl43_7 | ~spl43_314), 39.42/5.43 inference(avatar_split_clause,[],[f4062,f4058,f612,f4065])). 39.42/5.43 tff(f4065,plain,( 39.42/5.43 spl43_315 <=> mem(vertex,choose(vertex,t2tb(sK11)),t2tb(v1))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_315])])). 39.42/5.43 tff(f4058,plain,( 39.42/5.43 spl43_314 <=> mem(vertex,choose(vertex,t2tb(sK11)),t2tb(sK7))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_314])])). 39.42/5.43 tff(f4062,plain,( 39.42/5.43 mem(vertex,choose(vertex,t2tb(sK11)),t2tb(v1)) | (~spl43_7 | ~spl43_314)), 39.42/5.43 inference(resolution,[],[f4060,f688])). 39.42/5.43 tff(f4060,plain,( 39.42/5.43 mem(vertex,choose(vertex,t2tb(sK11)),t2tb(sK7)) | ~spl43_314), 39.42/5.43 inference(avatar_component_clause,[],[f4058])). 39.42/5.43 tff(f4061,plain,( 39.42/5.43 spl43_313 | spl43_314 | ~spl43_150), 39.42/5.43 inference(avatar_split_clause,[],[f2915,f2180,f4058,f4054])). 39.42/5.43 tff(f2915,plain,( 39.42/5.43 mem(vertex,choose(vertex,t2tb(sK11)),t2tb(sK7)) | is_empty(vertex,t2tb(sK11)) | ~spl43_150), 39.42/5.43 inference(resolution,[],[f2195,f409])). 39.42/5.43 tff(f4000,plain,( 39.42/5.43 ~spl43_311 | ~spl43_312 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f3891,f2773,f3997,f3993])). 39.42/5.43 tff(f3993,plain,( 39.42/5.43 spl43_311 <=> inv_src1(sK30(g_succ1(sK12)),sK15,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_311])])). 39.42/5.43 tff(f3891,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK13,sK14) | ~inv_src1(sK30(g_succ1(sK12)),sK15,sK6) | spl43_214), 39.42/5.43 inference(resolution,[],[f2778,f862])). 39.42/5.43 tff(f3984,plain,( 39.42/5.43 ~spl43_309 | ~spl43_310 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f3884,f2773,f3981,f3977])). 39.42/5.43 tff(f3977,plain,( 39.42/5.43 spl43_309 <=> inv_src1(sK30(g_succ1(sK12)),sK9,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_309])])). 39.42/5.43 tff(f3884,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK7,sK14) | ~inv_src1(sK30(g_succ1(sK12)),sK9,sK6) | spl43_214), 39.42/5.43 inference(resolution,[],[f2778,f850])). 39.42/5.43 tff(f3968,plain,( 39.42/5.43 ~spl43_307 | ~spl43_308 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f3819,f2773,f3965,f3961])). 39.42/5.43 tff(f3961,plain,( 39.42/5.43 spl43_307 <=> inv_src1(sK30(g_succ1(sK12)),sK13,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_307])])). 39.42/5.43 tff(f3819,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK14,sK15) | ~inv_src1(sK30(g_succ1(sK12)),sK13,sK6) | spl43_214), 39.42/5.43 inference(resolution,[],[f2026,f2775])). 39.42/5.43 tff(f2026,plain,( 39.42/5.43 ( ! [X16 : set_vertex,X15 : vertex1] : (mem(vertex,t2tb2(X15),t2tb(X16)) | ~inv_src1(X15,X16,sK15) | ~inv_src1(X15,sK13,sK6)) )), 39.42/5.43 inference(resolution,[],[f863,f609])). 39.42/5.43 tff(f3954,plain,( 39.42/5.43 ~spl43_305 | ~spl43_306 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f3745,f2773,f3951,f3947])). 39.42/5.43 tff(f3947,plain,( 39.42/5.43 spl43_305 <=> inv_src1(sK30(g_succ1(sK12)),sK7,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_305])])). 39.42/5.43 tff(f3745,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK14,sK9) | ~inv_src1(sK30(g_succ1(sK12)),sK7,sK6) | spl43_214), 39.42/5.43 inference(resolution,[],[f1979,f2775])). 39.42/5.43 tff(f3916,plain,( 39.42/5.43 ~spl43_304 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f3882,f2773,f3913])). 39.42/5.43 tff(f3913,plain,( 39.42/5.43 spl43_304 <=> inv_src1(sK30(g_succ1(sK12)),sK6,sK14)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_304])])). 39.42/5.43 tff(f3882,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK6,sK14) | spl43_214), 39.42/5.43 inference(resolution,[],[f2778,f280])). 39.42/5.43 tff(f3911,plain,( 39.42/5.43 ~spl43_303 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f3878,f2773,f3908])). 39.42/5.43 tff(f3908,plain,( 39.42/5.43 spl43_303 <=> inv_src1(sK30(g_succ1(sK12)),sK14,sK14)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_303])])). 39.42/5.43 tff(f3878,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK14,sK14) | spl43_214), 39.42/5.43 inference(resolution,[],[f2778,f2775])). 39.42/5.43 tff(f3876,plain,( 39.42/5.43 spl43_301 | ~spl43_302 | ~spl43_11 | spl43_205), 39.42/5.43 inference(avatar_split_clause,[],[f3497,f2660,f632,f3873,f3867])). 39.42/5.43 tff(f3873,plain,( 39.42/5.43 spl43_302 <=> inv_src1(sK29(sK15),sK15,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_302])])). 39.42/5.43 tff(f3497,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK15,sK13) | mem(vertex,t2tb2(sK29(sK15)),t2tb(v1)) | (~spl43_11 | spl43_205)), 39.42/5.43 inference(resolution,[],[f2665,f699])). 39.42/5.43 tff(f3870,plain,( 39.42/5.43 spl43_301 | ~spl43_298 | ~spl43_8 | spl43_205), 39.42/5.43 inference(avatar_split_clause,[],[f3492,f2660,f617,f3701,f3867])). 39.42/5.43 tff(f3701,plain,( 39.42/5.43 spl43_298 <=> inv_src1(sK29(sK15),sK9,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_298])])). 39.42/5.43 tff(f3492,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK9,sK13) | mem(vertex,t2tb2(sK29(sK15)),t2tb(v1)) | (~spl43_8 | spl43_205)), 39.42/5.43 inference(resolution,[],[f2665,f690])). 39.42/5.43 tff(f3865,plain,( 39.42/5.43 ~spl43_300 | ~spl43_150 | spl43_297), 39.42/5.43 inference(avatar_split_clause,[],[f3705,f3697,f2180,f3862])). 39.42/5.43 tff(f3862,plain,( 39.42/5.43 spl43_300 <=> inv_src1(sK29(sK15),sK11,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_300])])). 39.42/5.43 tff(f3705,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK11,sK6) | (~spl43_150 | spl43_297)), 39.42/5.43 inference(resolution,[],[f3699,f2931])). 39.42/5.43 tff(f3782,plain,( 39.42/5.43 ~spl43_299 | spl43_297), 39.42/5.43 inference(avatar_split_clause,[],[f3707,f3697,f3779])). 39.42/5.43 tff(f3779,plain,( 39.42/5.43 spl43_299 <=> inv_src1(sK29(sK15),sK7,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_299])])). 39.42/5.43 tff(f3707,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK7,sK6) | spl43_297), 39.42/5.43 inference(resolution,[],[f3699,f609])). 39.42/5.43 tff(f3777,plain,( 39.42/5.43 ~spl43_277 | spl43_205 | spl43_297), 39.42/5.43 inference(avatar_split_clause,[],[f3706,f3697,f2660,f3535])). 39.42/5.43 tff(f3535,plain,( 39.42/5.43 spl43_277 <=> inv_src1(sK29(sK15),sK7,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_277])])). 39.42/5.43 tff(f3706,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK7,sK13) | (spl43_205 | spl43_297)), 39.42/5.43 inference(resolution,[],[f3699,f2665])). 39.42/5.43 tff(f3704,plain,( 39.42/5.43 ~spl43_297 | ~spl43_298 | spl43_205), 39.42/5.43 inference(avatar_split_clause,[],[f3481,f2660,f3701,f3697])). 39.42/5.43 tff(f3481,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK9,sK13) | ~mem(vertex,t2tb2(sK29(sK15)),t2tb(sK7)) | spl43_205), 39.42/5.43 inference(resolution,[],[f2665,f289])). 39.42/5.43 tff(f3690,plain,( 39.42/5.43 spl43_295), 39.42/5.43 inference(avatar_contradiction_clause,[],[f3689])). 39.42/5.43 tff(f3689,plain,( 39.42/5.43 $false | spl43_295), 39.42/5.43 inference(resolution,[],[f3683,f380])). 39.42/5.43 tff(f380,plain,( 39.42/5.43 ( ! [X0 : $int] : (sort1(int,t2tb3(X0))) )), 39.42/5.43 inference(cnf_transformation,[],[f96])). 39.42/5.43 tff(f96,plain,( 39.42/5.43 ! [X0 : $int] : sort1(int,t2tb3(X0))), 39.42/5.43 inference(rectify,[],[f78])). 39.42/5.43 tff(f78,axiom,( 39.42/5.43 ! [X3 : $int] : sort1(int,t2tb3(X3))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort3)). 39.42/5.43 tff(f3683,plain,( 39.42/5.43 ~sort1(int,t2tb3(0)) | spl43_295), 39.42/5.43 inference(avatar_component_clause,[],[f3681])). 39.42/5.43 tff(f3681,plain,( 39.42/5.43 spl43_295 <=> sort1(int,t2tb3(0))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_295])])). 39.42/5.43 tff(f3688,plain,( 39.42/5.43 ~spl43_295 | spl43_296 | ~spl43_122), 39.42/5.43 inference(avatar_split_clause,[],[f1591,f1587,f3685,f3681])). 39.42/5.43 tff(f3685,plain,( 39.42/5.43 spl43_296 <=> t2tb3(0) = get(int,vertex,t2tb1(sK5),t2tb2(sK1))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_296])])). 39.42/5.43 tff(f1591,plain,( 39.42/5.43 t2tb3(0) = get(int,vertex,t2tb1(sK5),t2tb2(sK1)) | ~sort1(int,t2tb3(0)) | ~spl43_122), 39.42/5.43 inference(superposition,[],[f508,f1589])). 39.42/5.43 tff(f508,plain,( 39.42/5.43 ( ! [X2 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X4,X5),X4) = X5 | ~sort1(X1,X5)) )), 39.42/5.43 inference(equality_resolution,[],[f495])). 39.42/5.43 tff(f495,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort1(X1,X5)) )), 39.42/5.43 inference(cnf_transformation,[],[f216])). 39.42/5.43 tff(f216,plain,( 39.42/5.43 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort1(X1,X5))), 39.42/5.43 inference(flattening,[],[f215])). 39.42/5.43 tff(f215,plain,( 39.42/5.43 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : ((get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4) | ~sort1(X1,X5))), 39.42/5.43 inference(ennf_transformation,[],[f164])). 39.42/5.43 tff(f164,plain,( 39.42/5.43 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (sort1(X1,X5) => (X3 = X4 => get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5))), 39.42/5.43 inference(rectify,[],[f31])). 39.42/5.43 tff(f31,axiom,( 39.42/5.43 ! [X0 : ty,X16 : ty,X20 : uni,X19 : uni,X24 : uni,X18 : uni] : (sort1(X16,X18) => (X19 = X24 => get(X16,X0,set1(X16,X0,X20,X19,X18),X24) = X18))), 39.42/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_eq)). 39.42/5.43 tff(f3679,plain,( 39.42/5.43 spl43_293 | ~spl43_291 | ~spl43_11 | spl43_186), 39.42/5.43 inference(avatar_split_clause,[],[f3456,f2503,f632,f3655,f3670])). 39.42/5.43 tff(f3655,plain,( 39.42/5.43 spl43_291 <=> inv_src1(sK29(sK9),sK15,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_291])])). 39.42/5.43 tff(f3456,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK15,sK7) | mem(vertex,t2tb2(sK29(sK9)),t2tb(v1)) | (~spl43_11 | spl43_186)), 39.42/5.43 inference(resolution,[],[f2589,f699])). 39.42/5.43 tff(f3677,plain,( 39.42/5.43 spl43_293 | ~spl43_294 | ~spl43_8 | spl43_186), 39.42/5.43 inference(avatar_split_clause,[],[f3451,f2503,f617,f3674,f3670])). 39.42/5.43 tff(f3674,plain,( 39.42/5.43 spl43_294 <=> inv_src1(sK29(sK9),sK9,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_294])])). 39.42/5.43 tff(f3451,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK9,sK7) | mem(vertex,t2tb2(sK29(sK9)),t2tb(v1)) | (~spl43_8 | spl43_186)), 39.42/5.43 inference(resolution,[],[f2589,f690])). 39.42/5.43 tff(f3668,plain,( 39.42/5.43 ~spl43_292 | spl43_290), 39.42/5.43 inference(avatar_split_clause,[],[f3660,f3651,f3665])). 39.42/5.43 tff(f3665,plain,( 39.42/5.43 spl43_292 <=> inv_src1(sK29(sK9),sK13,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_292])])). 39.42/5.43 tff(f3660,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK13,sK6) | spl43_290), 39.42/5.43 inference(resolution,[],[f3653,f609])). 39.42/5.43 tff(f3662,plain,( 39.42/5.43 ~spl43_274 | spl43_186 | spl43_290), 39.42/5.43 inference(avatar_split_clause,[],[f3659,f3651,f2503,f3521])). 39.42/5.43 tff(f3521,plain,( 39.42/5.43 spl43_274 <=> inv_src1(sK29(sK9),sK13,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_274])])). 39.42/5.43 tff(f3659,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK13,sK7) | (spl43_186 | spl43_290)), 39.42/5.43 inference(resolution,[],[f3653,f2589])). 39.42/5.43 tff(f3658,plain,( 39.42/5.43 ~spl43_290 | ~spl43_291 | spl43_186), 39.42/5.43 inference(avatar_split_clause,[],[f3445,f2503,f3655,f3651])). 39.42/5.43 tff(f3445,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK15,sK7) | ~mem(vertex,t2tb2(sK29(sK9)),t2tb(sK13)) | spl43_186), 39.42/5.43 inference(resolution,[],[f2589,f308])). 39.42/5.43 tff(f3647,plain,( 39.42/5.43 spl43_266 | ~spl43_289 | ~spl43_156 | spl43_223), 39.42/5.43 inference(avatar_split_clause,[],[f3228,f2869,f2237,f3644,f3411])). 39.42/5.43 tff(f3411,plain,( 39.42/5.43 spl43_266 <=> mem(vertex,t2tb2(sK27),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_266])])). 39.42/5.43 tff(f3644,plain,( 39.42/5.43 spl43_289 <=> inv_src1(sK27,sK18,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_289])])). 39.42/5.43 tff(f2869,plain,( 39.42/5.43 spl43_223 <=> mem(vertex,t2tb2(sK27),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_223])])). 39.42/5.43 tff(f3228,plain,( 39.42/5.43 ~inv_src1(sK27,sK18,sK13) | mem(vertex,t2tb2(sK27),t2tb(sK14)) | (~spl43_156 | spl43_223)), 39.42/5.43 inference(resolution,[],[f2879,f2242])). 39.42/5.43 tff(f2879,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK27),t2tb(X0)) | ~inv_src1(sK27,X0,sK13)) ) | spl43_223), 39.42/5.43 inference(resolution,[],[f2871,f475])). 39.42/5.43 tff(f2871,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK27),t2tb(sK13)) | spl43_223), 39.42/5.43 inference(avatar_component_clause,[],[f2869])). 39.42/5.43 tff(f3642,plain,( 39.42/5.43 ~spl43_19 | ~spl43_288 | spl43_223), 39.42/5.43 inference(avatar_split_clause,[],[f3211,f2869,f3639,f676])). 39.42/5.43 tff(f3639,plain,( 39.42/5.43 spl43_288 <=> inv_src1(sK27,sK9,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_288])])). 39.42/5.43 tff(f3211,plain,( 39.42/5.43 ~inv_src1(sK27,sK9,sK13) | ~mem(vertex,t2tb2(sK27),t2tb(sK7)) | spl43_223), 39.42/5.43 inference(resolution,[],[f2879,f289])). 39.42/5.43 tff(f3634,plain,( 39.42/5.43 spl43_264 | ~spl43_287 | ~spl43_156 | spl43_218), 39.42/5.43 inference(avatar_split_clause,[],[f3183,f2802,f2237,f3631,f3402])). 39.42/5.43 tff(f3402,plain,( 39.42/5.43 spl43_264 <=> mem(vertex,t2tb2(sK26),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_264])])). 39.42/5.43 tff(f3631,plain,( 39.42/5.43 spl43_287 <=> inv_src1(sK26,sK18,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_287])])). 39.42/5.43 tff(f2802,plain,( 39.42/5.43 spl43_218 <=> mem(vertex,t2tb2(sK26),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_218])])). 39.42/5.43 tff(f3183,plain,( 39.42/5.43 ~inv_src1(sK26,sK18,sK13) | mem(vertex,t2tb2(sK26),t2tb(sK14)) | (~spl43_156 | spl43_218)), 39.42/5.43 inference(resolution,[],[f2812,f2242])). 39.42/5.43 tff(f2812,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK26),t2tb(X0)) | ~inv_src1(sK26,X0,sK13)) ) | spl43_218), 39.42/5.43 inference(resolution,[],[f2804,f475])). 39.42/5.43 tff(f2804,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK26),t2tb(sK13)) | spl43_218), 39.42/5.43 inference(avatar_component_clause,[],[f2802])). 39.42/5.43 tff(f3629,plain,( 39.42/5.43 ~spl43_9 | ~spl43_286 | spl43_218), 39.42/5.43 inference(avatar_split_clause,[],[f3166,f2802,f3626,f622])). 39.42/5.43 tff(f3626,plain,( 39.42/5.43 spl43_286 <=> inv_src1(sK26,sK9,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_286])])). 39.42/5.43 tff(f3166,plain,( 39.42/5.43 ~inv_src1(sK26,sK9,sK13) | ~mem(vertex,t2tb2(sK26),t2tb(sK7)) | spl43_218), 39.42/5.43 inference(resolution,[],[f2812,f289])). 39.42/5.43 tff(f3611,plain,( 39.42/5.43 spl43_84 | ~spl43_285 | ~spl43_150 | spl43_172), 39.42/5.43 inference(avatar_split_clause,[],[f3065,f2353,f2180,f3608,f1244])). 39.42/5.43 tff(f3608,plain,( 39.42/5.43 spl43_285 <=> inv_src1(sK19,sK11,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_285])])). 39.42/5.43 tff(f3065,plain,( 39.42/5.43 ~inv_src1(sK19,sK11,sK18) | mem(vertex,t2tb2(sK19),t2tb(sK7)) | (~spl43_150 | spl43_172)), 39.42/5.43 inference(resolution,[],[f2381,f2195])). 39.42/5.43 tff(f2381,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK19),t2tb(X0)) | ~inv_src1(sK19,X0,sK18)) ) | spl43_172), 39.42/5.43 inference(resolution,[],[f2355,f475])). 39.42/5.43 tff(f3604,plain,( 39.42/5.43 spl43_284 | ~spl43_278), 39.42/5.43 inference(avatar_split_clause,[],[f3594,f3540,f3601])). 39.42/5.43 tff(f3601,plain,( 39.42/5.43 spl43_284 <=> subset(vertex,remove(vertex,t2tb2(sK19),t2tb(sK15)),t2tb(sK20))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_284])])). 39.42/5.43 tff(f3540,plain,( 39.42/5.43 spl43_278 <=> remove(vertex,t2tb2(sK19),t2tb(sK15)) = remove(vertex,t2tb2(sK19),t2tb(sK20))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_278])])). 39.42/5.43 tff(f3594,plain,( 39.42/5.43 subset(vertex,remove(vertex,t2tb2(sK19),t2tb(sK15)),t2tb(sK20)) | ~spl43_278), 39.42/5.43 inference(superposition,[],[f422,f3542])). 39.42/5.43 tff(f3542,plain,( 39.42/5.43 remove(vertex,t2tb2(sK19),t2tb(sK15)) = remove(vertex,t2tb2(sK19),t2tb(sK20)) | ~spl43_278), 39.42/5.43 inference(avatar_component_clause,[],[f3540])). 39.42/5.43 tff(f3592,plain,( 39.42/5.43 spl43_87 | ~spl43_283 | ~spl43_8 | spl43_172), 39.42/5.43 inference(avatar_split_clause,[],[f3064,f2353,f617,f3589,f1263])). 39.42/5.43 tff(f3589,plain,( 39.42/5.43 spl43_283 <=> inv_src1(sK19,sK9,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_283])])). 39.42/5.43 tff(f3064,plain,( 39.42/5.43 ~inv_src1(sK19,sK9,sK18) | mem(vertex,t2tb2(sK19),t2tb(v1)) | (~spl43_8 | spl43_172)), 39.42/5.43 inference(resolution,[],[f2381,f690])). 39.42/5.43 tff(f3584,plain,( 39.42/5.43 spl43_282 | ~spl43_275), 39.42/5.43 inference(avatar_split_clause,[],[f3574,f3526,f3581])). 39.42/5.43 tff(f3581,plain,( 39.42/5.43 spl43_282 <=> subset(vertex,remove(vertex,t2tb2(sK12),t2tb(sK9)),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_282])])). 39.42/5.43 tff(f3526,plain,( 39.42/5.43 spl43_275 <=> remove(vertex,t2tb2(sK12),t2tb(sK9)) = remove(vertex,t2tb2(sK12),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_275])])). 39.42/5.43 tff(f3574,plain,( 39.42/5.43 subset(vertex,remove(vertex,t2tb2(sK12),t2tb(sK9)),t2tb(sK13)) | ~spl43_275), 39.42/5.43 inference(superposition,[],[f422,f3528])). 39.42/5.43 tff(f3528,plain,( 39.42/5.43 remove(vertex,t2tb2(sK12),t2tb(sK9)) = remove(vertex,t2tb2(sK12),t2tb(sK13)) | ~spl43_275), 39.42/5.43 inference(avatar_component_clause,[],[f3526])). 39.42/5.43 tff(f3567,plain,( 39.42/5.43 spl43_261 | ~spl43_281 | ~spl43_156 | spl43_166), 39.42/5.43 inference(avatar_split_clause,[],[f3000,f2304,f2237,f3564,f3385])). 39.42/5.43 tff(f3385,plain,( 39.42/5.43 spl43_261 <=> mem(vertex,t2tb2(sK12),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_261])])). 39.42/5.43 tff(f3564,plain,( 39.42/5.43 spl43_281 <=> inv_src1(sK12,sK18,sK11)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_281])])). 39.42/5.43 tff(f2304,plain,( 39.42/5.43 spl43_166 <=> mem(vertex,t2tb2(sK12),t2tb(sK11))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_166])])). 39.42/5.43 tff(f3000,plain,( 39.42/5.43 ~inv_src1(sK12,sK18,sK11) | mem(vertex,t2tb2(sK12),t2tb(sK14)) | (~spl43_156 | spl43_166)), 39.42/5.43 inference(resolution,[],[f2318,f2242])). 39.42/5.43 tff(f2318,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK12),t2tb(X0)) | ~inv_src1(sK12,X0,sK11)) ) | spl43_166), 39.42/5.43 inference(resolution,[],[f2306,f475])). 39.42/5.43 tff(f2306,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK12),t2tb(sK11)) | spl43_166), 39.42/5.43 inference(avatar_component_clause,[],[f2304])). 39.42/5.43 tff(f3560,plain,( 39.42/5.43 spl43_280 | ~spl43_272), 39.42/5.43 inference(avatar_split_clause,[],[f3550,f3512,f3557])). 39.42/5.43 tff(f3557,plain,( 39.42/5.43 spl43_280 <=> subset(vertex,remove(vertex,t2tb2(sK1),empty(vertex)),t2tb(sK4))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_280])])). 39.42/5.43 tff(f3512,plain,( 39.42/5.43 spl43_272 <=> remove(vertex,t2tb2(sK1),empty(vertex)) = remove(vertex,t2tb2(sK1),t2tb(sK4))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_272])])). 39.42/5.43 tff(f3550,plain,( 39.42/5.43 subset(vertex,remove(vertex,t2tb2(sK1),empty(vertex)),t2tb(sK4)) | ~spl43_272), 39.42/5.43 inference(superposition,[],[f422,f3514])). 39.42/5.43 tff(f3514,plain,( 39.42/5.43 remove(vertex,t2tb2(sK1),empty(vertex)) = remove(vertex,t2tb2(sK1),t2tb(sK4)) | ~spl43_272), 39.42/5.43 inference(avatar_component_clause,[],[f3512])). 39.42/5.43 tff(f3548,plain,( 39.42/5.43 ~spl43_104 | ~spl43_279 | spl43_166), 39.42/5.43 inference(avatar_split_clause,[],[f2989,f2304,f3545,f1443])). 39.42/5.43 tff(f3545,plain,( 39.42/5.43 spl43_279 <=> inv_src1(sK12,sK15,sK11)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_279])])). 39.42/5.43 tff(f2989,plain,( 39.42/5.43 ~inv_src1(sK12,sK15,sK11) | ~mem(vertex,t2tb2(sK12),t2tb(sK13)) | spl43_166), 39.42/5.43 inference(resolution,[],[f2318,f308])). 39.42/5.43 tff(f3543,plain,( 39.42/5.43 spl43_278 | ~spl43_158), 39.42/5.43 inference(avatar_split_clause,[],[f2258,f2248,f3540])). 39.42/5.43 tff(f2258,plain,( 39.42/5.43 remove(vertex,t2tb2(sK19),t2tb(sK15)) = remove(vertex,t2tb2(sK19),t2tb(sK20)) | ~spl43_158), 39.42/5.43 inference(superposition,[],[f424,f2250])). 39.42/5.43 tff(f3538,plain,( 39.42/5.43 ~spl43_276 | ~spl43_277 | spl43_205), 39.42/5.43 inference(avatar_split_clause,[],[f3478,f2660,f3535,f3531])). 39.42/5.43 tff(f3531,plain,( 39.42/5.43 spl43_276 <=> inv_src1(sK29(sK15),sK9,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_276])])). 39.42/5.43 tff(f3478,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK7,sK13) | ~inv_src1(sK29(sK15),sK9,sK6) | spl43_205), 39.42/5.43 inference(resolution,[],[f2665,f850])). 39.42/5.43 tff(f3529,plain,( 39.42/5.43 spl43_275 | ~spl43_152), 39.42/5.43 inference(avatar_split_clause,[],[f2210,f2189,f3526])). 39.42/5.43 tff(f2210,plain,( 39.42/5.43 remove(vertex,t2tb2(sK12),t2tb(sK9)) = remove(vertex,t2tb2(sK12),t2tb(sK13)) | ~spl43_152), 39.42/5.43 inference(superposition,[],[f424,f2191])). 39.42/5.43 tff(f3524,plain,( 39.42/5.43 ~spl43_273 | ~spl43_274 | spl43_186), 39.42/5.43 inference(avatar_split_clause,[],[f3444,f2503,f3521,f3517])). 39.42/5.43 tff(f3517,plain,( 39.42/5.43 spl43_273 <=> inv_src1(sK29(sK9),sK15,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_273])])). 39.42/5.43 tff(f3444,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK13,sK7) | ~inv_src1(sK29(sK9),sK15,sK6) | spl43_186), 39.42/5.43 inference(resolution,[],[f2589,f862])). 39.42/5.43 tff(f3515,plain,( 39.42/5.43 spl43_272 | ~spl43_144), 39.42/5.43 inference(avatar_split_clause,[],[f2119,f2109,f3512])). 39.42/5.43 tff(f2119,plain,( 39.42/5.43 remove(vertex,t2tb2(sK1),empty(vertex)) = remove(vertex,t2tb2(sK1),t2tb(sK4)) | ~spl43_144), 39.42/5.43 inference(superposition,[],[f424,f2111])). 39.42/5.43 tff(f3510,plain,( 39.42/5.43 ~spl43_271 | spl43_205), 39.42/5.43 inference(avatar_split_clause,[],[f3476,f2660,f3507])). 39.42/5.43 tff(f3507,plain,( 39.42/5.43 spl43_271 <=> inv_src1(sK29(sK15),sK6,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_271])])). 39.42/5.43 tff(f3476,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK6,sK13) | spl43_205), 39.42/5.43 inference(resolution,[],[f2665,f280])). 39.42/5.43 tff(f3505,plain,( 39.42/5.43 ~spl43_270 | spl43_205), 39.42/5.43 inference(avatar_split_clause,[],[f3470,f2660,f3502])). 39.42/5.43 tff(f3502,plain,( 39.42/5.43 spl43_270 <=> inv_src1(sK29(sK15),sK13,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_270])])). 39.42/5.43 tff(f3470,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK13,sK13) | spl43_205), 39.42/5.43 inference(resolution,[],[f2665,f2662])). 39.42/5.43 tff(f3469,plain,( 39.42/5.43 ~spl43_269 | spl43_186), 39.42/5.43 inference(avatar_split_clause,[],[f3435,f2503,f3466])). 39.42/5.43 tff(f3466,plain,( 39.42/5.43 spl43_269 <=> inv_src1(sK29(sK9),sK6,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_269])])). 39.42/5.43 tff(f3435,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK6,sK7) | spl43_186), 39.42/5.43 inference(resolution,[],[f2589,f280])). 39.42/5.43 tff(f3464,plain,( 39.42/5.43 ~spl43_268 | spl43_186), 39.42/5.43 inference(avatar_split_clause,[],[f3429,f2503,f3461])). 39.42/5.43 tff(f3461,plain,( 39.42/5.43 spl43_268 <=> inv_src1(sK29(sK9),sK7,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_268])])). 39.42/5.43 tff(f3429,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK7,sK7) | spl43_186), 39.42/5.43 inference(resolution,[],[f2589,f2505])). 39.42/5.43 tff(f3428,plain,( 39.42/5.43 ~spl43_267 | ~spl43_156 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f3420,f2773,f2237,f3425])). 39.42/5.43 tff(f3425,plain,( 39.42/5.43 spl43_267 <=> inv_src1(sK30(g_succ1(sK12)),sK18,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_267])])). 39.42/5.43 tff(f3420,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK18,sK6) | (~spl43_156 | spl43_214)), 39.42/5.43 inference(resolution,[],[f2968,f2775])). 39.42/5.43 tff(f2968,plain,( 39.42/5.43 ( ! [X3 : vertex1] : (mem(vertex,t2tb2(X3),t2tb(sK14)) | ~inv_src1(X3,sK18,sK6)) ) | ~spl43_156), 39.42/5.43 inference(resolution,[],[f2242,f609])). 39.42/5.43 tff(f3414,plain,( 39.42/5.43 ~spl43_265 | spl43_266 | ~spl43_19 | ~spl43_156), 39.42/5.43 inference(avatar_split_clause,[],[f2966,f2237,f676,f3411,f3407])). 39.42/5.43 tff(f3407,plain,( 39.42/5.43 spl43_265 <=> inv_src1(sK27,sK18,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_265])])). 39.42/5.43 tff(f2966,plain,( 39.42/5.43 mem(vertex,t2tb2(sK27),t2tb(sK14)) | ~inv_src1(sK27,sK18,sK9) | (~spl43_19 | ~spl43_156)), 39.42/5.43 inference(resolution,[],[f2242,f1968])). 39.42/5.43 tff(f3405,plain,( 39.42/5.43 ~spl43_263 | spl43_264 | ~spl43_9 | ~spl43_156), 39.42/5.43 inference(avatar_split_clause,[],[f2965,f2237,f622,f3402,f3398])). 39.42/5.43 tff(f3398,plain,( 39.42/5.43 spl43_263 <=> inv_src1(sK26,sK18,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_263])])). 39.42/5.43 tff(f2965,plain,( 39.42/5.43 mem(vertex,t2tb2(sK26),t2tb(sK14)) | ~inv_src1(sK26,sK18,sK9) | (~spl43_9 | ~spl43_156)), 39.42/5.43 inference(resolution,[],[f2242,f1966])). 39.42/5.43 tff(f3393,plain,( 39.42/5.43 ~spl43_262 | spl43_261 | ~spl43_10 | ~spl43_156), 39.42/5.43 inference(avatar_split_clause,[],[f2956,f2237,f627,f3385,f3390])). 39.42/5.43 tff(f3390,plain,( 39.42/5.43 spl43_262 <=> inv_src1(sK12,sK18,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_262])])). 39.42/5.43 tff(f2956,plain,( 39.42/5.43 mem(vertex,t2tb2(sK12),t2tb(sK14)) | ~inv_src1(sK12,sK18,sK9) | (~spl43_10 | ~spl43_156)), 39.42/5.43 inference(resolution,[],[f2242,f1967])). 39.42/5.43 tff(f1967,plain,( 39.42/5.43 ( ! [X1 : set_vertex] : (mem(vertex,t2tb2(sK12),t2tb(X1)) | ~inv_src1(sK12,X1,sK9)) ) | ~spl43_10), 39.42/5.43 inference(resolution,[],[f851,f629])). 39.42/5.43 tff(f3388,plain,( 39.42/5.43 ~spl43_260 | spl43_261 | ~spl43_104 | ~spl43_156), 39.42/5.43 inference(avatar_split_clause,[],[f2955,f2237,f1443,f3385,f3381])). 39.42/5.43 tff(f3381,plain,( 39.42/5.43 spl43_260 <=> inv_src1(sK12,sK18,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_260])])). 39.42/5.43 tff(f2955,plain,( 39.42/5.43 mem(vertex,t2tb2(sK12),t2tb(sK14)) | ~inv_src1(sK12,sK18,sK15) | (~spl43_104 | ~spl43_156)), 39.42/5.43 inference(resolution,[],[f2242,f2339])). 39.42/5.43 tff(f2339,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK12),t2tb(X0)) | ~inv_src1(sK12,X0,sK15)) ) | ~spl43_104), 39.42/5.43 inference(resolution,[],[f1444,f863])). 39.42/5.43 tff(f3376,plain,( 39.42/5.43 ~spl43_259 | spl43_258 | spl43_89 | ~spl43_156), 39.42/5.43 inference(avatar_split_clause,[],[f2954,f2237,f1291,f3368,f3373])). 39.42/5.43 tff(f3373,plain,( 39.42/5.43 spl43_259 <=> inv_src1(sK1,sK18,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_259])])). 39.42/5.43 tff(f3368,plain,( 39.42/5.43 spl43_258 <=> mem(vertex,t2tb2(sK1),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_258])])). 39.42/5.43 tff(f2954,plain,( 39.42/5.43 mem(vertex,t2tb2(sK1),t2tb(sK14)) | ~inv_src1(sK1,sK18,sK13) | (spl43_89 | ~spl43_156)), 39.42/5.43 inference(resolution,[],[f2242,f1300])). 39.42/5.43 tff(f3371,plain,( 39.42/5.43 ~spl43_257 | spl43_258 | spl43_93 | ~spl43_156), 39.42/5.43 inference(avatar_split_clause,[],[f2953,f2237,f1313,f3368,f3364])). 39.42/5.43 tff(f3364,plain,( 39.42/5.43 spl43_257 <=> inv_src1(sK1,sK18,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_257])])). 39.42/5.43 tff(f2953,plain,( 39.42/5.43 mem(vertex,t2tb2(sK1),t2tb(sK14)) | ~inv_src1(sK1,sK18,sK9) | (spl43_93 | ~spl43_156)), 39.42/5.43 inference(resolution,[],[f2242,f1318])). 39.42/5.43 tff(f3359,plain,( 39.42/5.43 ~spl43_256 | ~spl43_150 | spl43_186), 39.42/5.43 inference(avatar_split_clause,[],[f3336,f2503,f2180,f3356])). 39.42/5.43 tff(f3356,plain,( 39.42/5.43 spl43_256 <=> inv_src1(sK29(sK9),sK11,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_256])])). 39.42/5.43 tff(f3336,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK11,sK6) | (~spl43_150 | spl43_186)), 39.42/5.43 inference(resolution,[],[f2931,f2505])). 39.42/5.43 tff(f3350,plain,( 39.42/5.43 ~spl43_255 | spl43_77 | ~spl43_150), 39.42/5.43 inference(avatar_split_clause,[],[f3335,f2180,f1205,f3347])). 39.42/5.43 tff(f3347,plain,( 39.42/5.43 spl43_255 <=> inv_src1(sK23,sK11,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_255])])). 39.42/5.43 tff(f3335,plain,( 39.42/5.43 ~inv_src1(sK23,sK11,sK6) | (spl43_77 | ~spl43_150)), 39.42/5.43 inference(resolution,[],[f2931,f1207])). 39.42/5.43 tff(f3345,plain,( 39.42/5.43 ~spl43_254 | spl43_84 | ~spl43_150), 39.42/5.43 inference(avatar_split_clause,[],[f3334,f2180,f1244,f3342])). 39.42/5.43 tff(f3342,plain,( 39.42/5.43 spl43_254 <=> inv_src1(sK19,sK11,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_254])])). 39.42/5.43 tff(f3334,plain,( 39.42/5.43 ~inv_src1(sK19,sK11,sK6) | (spl43_84 | ~spl43_150)), 39.42/5.43 inference(resolution,[],[f2931,f1246])). 39.42/5.43 tff(f3329,plain,( 39.42/5.43 ~spl43_253 | spl43_77 | spl43_16 | ~spl43_150), 39.42/5.43 inference(avatar_split_clause,[],[f2927,f2180,f657,f1205,f3326])). 39.42/5.43 tff(f3326,plain,( 39.42/5.43 spl43_253 <=> inv_src1(sK23,sK11,sK20)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_253])])). 39.42/5.43 tff(f2927,plain,( 39.42/5.43 mem(vertex,t2tb2(sK23),t2tb(sK7)) | ~inv_src1(sK23,sK11,sK20) | (spl43_16 | ~spl43_150)), 39.42/5.43 inference(resolution,[],[f2195,f715])). 39.42/5.43 tff(f3324,plain,( 39.42/5.43 ~spl43_252 | spl43_77 | spl43_17 | ~spl43_150), 39.42/5.43 inference(avatar_split_clause,[],[f2926,f2180,f662,f1205,f3321])). 39.42/5.43 tff(f3321,plain,( 39.42/5.43 spl43_252 <=> inv_src1(sK23,sK11,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_252])])). 39.42/5.43 tff(f2926,plain,( 39.42/5.43 mem(vertex,t2tb2(sK23),t2tb(sK7)) | ~inv_src1(sK23,sK11,sK13) | (spl43_17 | ~spl43_150)), 39.42/5.43 inference(resolution,[],[f2195,f716])). 39.42/5.43 tff(f3317,plain,( 39.42/5.43 ~spl43_251 | spl43_77 | spl43_77 | ~spl43_150), 39.42/5.43 inference(avatar_split_clause,[],[f2925,f2180,f1205,f1205,f3314])). 39.42/5.43 tff(f3314,plain,( 39.42/5.43 spl43_251 <=> inv_src1(sK23,sK11,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_251])])). 39.42/5.43 tff(f2925,plain,( 39.42/5.43 mem(vertex,t2tb2(sK23),t2tb(sK7)) | ~inv_src1(sK23,sK11,sK7) | (spl43_77 | ~spl43_150)), 39.42/5.43 inference(resolution,[],[f2195,f1216])). 39.42/5.43 tff(f3311,plain,( 39.42/5.43 spl43_213 | spl43_248 | spl43_249 | spl43_250 | ~spl43_105), 39.42/5.43 inference(avatar_split_clause,[],[f2372,f1447,f3308,f3304,f3300,f2770])). 39.42/5.43 tff(f2770,plain,( 39.42/5.43 spl43_213 <=> ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~path1(X0,X1,X2) | mem(vertex,t2tb2(X1),t2tb(g_succ1(sK12))) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(sK12))))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_213])])). 39.42/5.43 tff(f3300,plain,( 39.42/5.43 spl43_248 <=> mem(vertex,t2tb2(sK29(g_succ1(sK12))),t2tb(sK15))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_248])])). 39.42/5.43 tff(f3304,plain,( 39.42/5.43 spl43_249 <=> mem(vertex,t2tb2(sK29(g_succ1(sK12))),t2tb(sK14))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_249])])). 39.42/5.43 tff(f3308,plain,( 39.42/5.43 spl43_250 <=> mem(vertex,t2tb2(sK29(g_succ1(sK12))),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_250])])). 39.42/5.43 tff(f2372,plain,( 39.42/5.43 ( ! [X2 : vertex1,X3 : $int,X1 : vertex1] : (mem(vertex,t2tb2(sK29(g_succ1(sK12))),t2tb(sK13)) | mem(vertex,t2tb2(sK29(g_succ1(sK12))),t2tb(sK14)) | mem(vertex,t2tb2(sK29(g_succ1(sK12))),t2tb(sK15)) | ~path1(X1,X2,X3) | ~mem(vertex,t2tb2(X1),t2tb(g_succ1(sK12))) | mem(vertex,t2tb2(X2),t2tb(g_succ1(sK12)))) ) | ~spl43_105), 39.42/5.43 inference(resolution,[],[f1448,f397])). 39.42/5.43 tff(f3298,plain,( 39.42/5.43 ~spl43_247 | spl43_77 | spl43_32 | ~spl43_150), 39.42/5.43 inference(avatar_split_clause,[],[f2924,f2180,f770,f1205,f3295])). 39.42/5.43 tff(f3295,plain,( 39.42/5.43 spl43_247 <=> inv_src1(sK23,sK11,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_247])])). 39.42/5.43 tff(f2924,plain,( 39.42/5.43 mem(vertex,t2tb2(sK23),t2tb(sK7)) | ~inv_src1(sK23,sK11,sK18) | (spl43_32 | ~spl43_150)), 39.42/5.43 inference(resolution,[],[f2195,f2534])). 39.42/5.43 tff(f3293,plain,( 39.42/5.43 ~spl43_246 | spl43_77 | ~spl43_150 | spl43_184), 39.42/5.43 inference(avatar_split_clause,[],[f2923,f2490,f2180,f1205,f3290])). 39.42/5.43 tff(f3290,plain,( 39.42/5.43 spl43_246 <=> inv_src1(sK23,sK11,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_246])])). 39.42/5.43 tff(f2923,plain,( 39.42/5.43 mem(vertex,t2tb2(sK23),t2tb(sK7)) | ~inv_src1(sK23,sK11,sK15) | (~spl43_150 | spl43_184)), 39.42/5.43 inference(resolution,[],[f2195,f2573])). 39.42/5.43 tff(f2573,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK23),t2tb(X0)) | ~inv_src1(sK23,X0,sK15)) ) | spl43_184), 39.42/5.43 inference(resolution,[],[f2491,f475])). 39.42/5.43 tff(f3285,plain,( 39.42/5.43 ~spl43_245 | spl43_84 | spl43_45 | ~spl43_150), 39.42/5.43 inference(avatar_split_clause,[],[f2922,f2180,f952,f1244,f3282])). 39.42/5.43 tff(f3282,plain,( 39.42/5.43 spl43_245 <=> inv_src1(sK19,sK11,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_245])])). 39.42/5.43 tff(f2922,plain,( 39.42/5.43 mem(vertex,t2tb2(sK19),t2tb(sK7)) | ~inv_src1(sK19,sK11,sK13) | (spl43_45 | ~spl43_150)), 39.42/5.43 inference(resolution,[],[f2195,f961])). 39.42/5.43 tff(f3280,plain,( 39.42/5.43 ~spl43_244 | spl43_84 | spl43_48 | ~spl43_150), 39.42/5.43 inference(avatar_split_clause,[],[f2921,f2180,f968,f1244,f3277])). 39.42/5.43 tff(f3277,plain,( 39.42/5.43 spl43_244 <=> inv_src1(sK19,sK11,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_244])])). 39.42/5.43 tff(f2921,plain,( 39.42/5.43 mem(vertex,t2tb2(sK19),t2tb(sK7)) | ~inv_src1(sK19,sK11,sK15) | (spl43_48 | ~spl43_150)), 39.42/5.43 inference(resolution,[],[f2195,f973])). 39.42/5.43 tff(f3271,plain,( 39.42/5.43 ~spl43_243 | spl43_84 | spl43_84 | ~spl43_150), 39.42/5.43 inference(avatar_split_clause,[],[f2920,f2180,f1244,f1244,f3268])). 39.42/5.43 tff(f3268,plain,( 39.42/5.43 spl43_243 <=> inv_src1(sK19,sK11,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_243])])). 39.42/5.43 tff(f2920,plain,( 39.42/5.43 mem(vertex,t2tb2(sK19),t2tb(sK7)) | ~inv_src1(sK19,sK11,sK7) | (spl43_84 | ~spl43_150)), 39.42/5.43 inference(resolution,[],[f2195,f1255])). 39.42/5.43 tff(f1255,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK19),t2tb(X0)) | ~inv_src1(sK19,X0,sK7)) ) | spl43_84), 39.42/5.43 inference(resolution,[],[f1246,f475])). 39.42/5.43 tff(f3266,plain,( 39.42/5.43 ~spl43_242 | spl43_241 | spl43_89 | ~spl43_150), 39.42/5.43 inference(avatar_split_clause,[],[f2917,f2180,f1291,f3255,f3263])). 39.42/5.43 tff(f3263,plain,( 39.42/5.43 spl43_242 <=> inv_src1(sK1,sK11,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_242])])). 39.42/5.43 tff(f3255,plain,( 39.42/5.43 spl43_241 <=> mem(vertex,t2tb2(sK1),t2tb(sK7))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_241])])). 39.42/5.43 tff(f2917,plain,( 39.42/5.43 mem(vertex,t2tb2(sK1),t2tb(sK7)) | ~inv_src1(sK1,sK11,sK13) | (spl43_89 | ~spl43_150)), 39.42/5.43 inference(resolution,[],[f2195,f1300])). 39.42/5.43 tff(f3258,plain,( 39.42/5.43 ~spl43_240 | spl43_241 | spl43_93 | ~spl43_150), 39.42/5.43 inference(avatar_split_clause,[],[f2916,f2180,f1313,f3255,f3251])). 39.42/5.43 tff(f3251,plain,( 39.42/5.43 spl43_240 <=> inv_src1(sK1,sK11,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_240])])). 39.42/5.43 tff(f2916,plain,( 39.42/5.43 mem(vertex,t2tb2(sK1),t2tb(sK7)) | ~inv_src1(sK1,sK11,sK9) | (spl43_93 | ~spl43_150)), 39.42/5.43 inference(resolution,[],[f2195,f1318])). 39.42/5.43 tff(f3247,plain,( 39.42/5.43 ~spl43_239 | spl43_223), 39.42/5.43 inference(avatar_split_clause,[],[f3206,f2869,f3244])). 39.42/5.43 tff(f3244,plain,( 39.42/5.43 spl43_239 <=> inv_src1(sK27,sK6,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_239])])). 39.42/5.43 tff(f3206,plain,( 39.42/5.43 ~inv_src1(sK27,sK6,sK13) | spl43_223), 39.42/5.43 inference(resolution,[],[f2879,f280])). 39.42/5.43 tff(f3242,plain,( 39.42/5.43 ~spl43_238 | spl43_223), 39.42/5.43 inference(avatar_split_clause,[],[f3202,f2869,f3239])). 39.42/5.43 tff(f3239,plain,( 39.42/5.43 spl43_238 <=> inv_src1(sK27,sK13,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_238])])). 39.42/5.43 tff(f3202,plain,( 39.42/5.43 ~inv_src1(sK27,sK13,sK13) | spl43_223), 39.42/5.43 inference(resolution,[],[f2879,f2871])). 39.42/5.43 tff(f3197,plain,( 39.42/5.43 ~spl43_237 | spl43_218), 39.42/5.43 inference(avatar_split_clause,[],[f3161,f2802,f3194])). 39.42/5.43 tff(f3194,plain,( 39.42/5.43 spl43_237 <=> inv_src1(sK26,sK6,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_237])])). 39.42/5.43 tff(f3161,plain,( 39.42/5.43 ~inv_src1(sK26,sK6,sK13) | spl43_218), 39.42/5.43 inference(resolution,[],[f2812,f280])). 39.42/5.43 tff(f3192,plain,( 39.42/5.43 ~spl43_236 | spl43_218), 39.42/5.43 inference(avatar_split_clause,[],[f3157,f2802,f3189])). 39.42/5.43 tff(f3189,plain,( 39.42/5.43 spl43_236 <=> inv_src1(sK26,sK13,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_236])])). 39.42/5.43 tff(f3157,plain,( 39.42/5.43 ~inv_src1(sK26,sK13,sK13) | spl43_218), 39.42/5.43 inference(resolution,[],[f2812,f2804])). 39.42/5.43 tff(f3119,plain,( 39.42/5.43 spl43_80 | ~spl43_235 | ~spl43_8 | spl43_184), 39.42/5.43 inference(avatar_split_clause,[],[f2715,f2490,f617,f3116,f1224])). 39.42/5.43 tff(f3116,plain,( 39.42/5.43 spl43_235 <=> inv_src1(sK23,sK9,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_235])])). 39.42/5.43 tff(f2715,plain,( 39.42/5.43 ~inv_src1(sK23,sK9,sK15) | mem(vertex,t2tb2(sK23),t2tb(v1)) | (~spl43_8 | spl43_184)), 39.42/5.43 inference(resolution,[],[f2573,f690])). 39.42/5.43 tff(f3112,plain,( 39.42/5.43 ~spl43_104 | ~spl43_234 | ~spl43_104), 39.42/5.43 inference(avatar_split_clause,[],[f2468,f1443,f3109,f1443])). 39.42/5.43 tff(f3109,plain,( 39.42/5.43 spl43_234 <=> inv_src1(sK12,sK15,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_234])])). 39.42/5.43 tff(f2468,plain,( 39.42/5.43 ~inv_src1(sK12,sK15,sK15) | ~mem(vertex,t2tb2(sK12),t2tb(sK13)) | ~spl43_104), 39.42/5.43 inference(resolution,[],[f2339,f308])). 39.42/5.43 tff(f3098,plain,( 39.42/5.43 ~spl43_233 | spl43_172), 39.42/5.43 inference(avatar_split_clause,[],[f3048,f2353,f3095])). 39.42/5.43 tff(f3095,plain,( 39.42/5.43 spl43_233 <=> inv_src1(sK19,sK6,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_233])])). 39.42/5.43 tff(f3048,plain,( 39.42/5.43 ~inv_src1(sK19,sK6,sK18) | spl43_172), 39.42/5.43 inference(resolution,[],[f2381,f280])). 39.42/5.43 tff(f3093,plain,( 39.42/5.43 ~spl43_232 | spl43_172), 39.42/5.43 inference(avatar_split_clause,[],[f3044,f2353,f3090])). 39.42/5.43 tff(f3090,plain,( 39.42/5.43 spl43_232 <=> inv_src1(sK19,sK18,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_232])])). 39.42/5.43 tff(f3044,plain,( 39.42/5.43 ~inv_src1(sK19,sK18,sK18) | spl43_172), 39.42/5.43 inference(resolution,[],[f2381,f2355])). 39.42/5.43 tff(f3088,plain,( 39.42/5.43 ~spl43_231 | spl43_48 | spl43_172), 39.42/5.43 inference(avatar_split_clause,[],[f3043,f2353,f968,f3085])). 39.42/5.43 tff(f3085,plain,( 39.42/5.43 spl43_231 <=> inv_src1(sK19,sK15,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_231])])). 39.42/5.43 tff(f3043,plain,( 39.42/5.43 ~inv_src1(sK19,sK15,sK18) | (spl43_48 | spl43_172)), 39.42/5.43 inference(resolution,[],[f2381,f970])). 39.42/5.43 tff(f3083,plain,( 39.42/5.43 ~spl43_230 | spl43_45 | spl43_172), 39.42/5.43 inference(avatar_split_clause,[],[f3042,f2353,f952,f3080])). 39.42/5.43 tff(f3080,plain,( 39.42/5.43 spl43_230 <=> inv_src1(sK19,sK13,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_230])])). 39.42/5.43 tff(f3042,plain,( 39.42/5.43 ~inv_src1(sK19,sK13,sK18) | (spl43_45 | spl43_172)), 39.42/5.43 inference(resolution,[],[f2381,f954])). 39.42/5.43 tff(f3076,plain,( 39.42/5.43 ~spl43_229 | spl43_84 | spl43_172), 39.42/5.43 inference(avatar_split_clause,[],[f3041,f2353,f1244,f3073])). 39.42/5.43 tff(f3073,plain,( 39.42/5.43 spl43_229 <=> inv_src1(sK19,sK7,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_229])])). 39.42/5.43 tff(f3041,plain,( 39.42/5.43 ~inv_src1(sK19,sK7,sK18) | (spl43_84 | spl43_172)), 39.42/5.43 inference(resolution,[],[f2381,f1246])). 39.42/5.43 tff(f3017,plain,( 39.42/5.43 ~spl43_228 | spl43_166), 39.42/5.43 inference(avatar_split_clause,[],[f2980,f2304,f3014])). 39.42/5.43 tff(f3014,plain,( 39.42/5.43 spl43_228 <=> inv_src1(sK12,sK6,sK11)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_228])])). 39.42/5.43 tff(f2980,plain,( 39.42/5.43 ~inv_src1(sK12,sK6,sK11) | spl43_166), 39.42/5.43 inference(resolution,[],[f2318,f280])). 39.42/5.43 tff(f3012,plain,( 39.42/5.43 ~spl43_227 | spl43_166 | spl43_194), 39.42/5.43 inference(avatar_split_clause,[],[f2976,f2575,f2304,f3009])). 39.42/5.43 tff(f3009,plain,( 39.42/5.43 spl43_227 <=> inv_src1(sK12,sK9,sK11)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_227])])). 39.42/5.43 tff(f2976,plain,( 39.42/5.43 ~inv_src1(sK12,sK9,sK11) | (spl43_166 | spl43_194)), 39.42/5.43 inference(resolution,[],[f2318,f2577])). 39.42/5.43 tff(f2577,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK12),t2tb(sK9)) | spl43_194), 39.42/5.43 inference(avatar_component_clause,[],[f2575])). 39.42/5.43 tff(f3007,plain,( 39.42/5.43 ~spl43_226 | spl43_166), 39.42/5.43 inference(avatar_split_clause,[],[f2975,f2304,f3004])). 39.42/5.43 tff(f3004,plain,( 39.42/5.43 spl43_226 <=> inv_src1(sK12,sK11,sK11)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_226])])). 39.42/5.43 tff(f2975,plain,( 39.42/5.43 ~inv_src1(sK12,sK11,sK11) | spl43_166), 39.42/5.43 inference(resolution,[],[f2318,f2306])). 39.42/5.43 tff(f2886,plain,( 39.42/5.43 ~spl43_225 | spl43_223), 39.42/5.43 inference(avatar_split_clause,[],[f2878,f2869,f2883])). 39.42/5.43 tff(f2883,plain,( 39.42/5.43 spl43_225 <=> inv_src1(sK27,sK13,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_225])])). 39.42/5.43 tff(f2878,plain,( 39.42/5.43 ~inv_src1(sK27,sK13,sK6) | spl43_223), 39.42/5.43 inference(resolution,[],[f2871,f609])). 39.42/5.43 tff(f2880,plain,( 39.42/5.43 ~spl43_142 | ~spl43_19 | spl43_223), 39.42/5.43 inference(avatar_split_clause,[],[f2877,f2869,f676,f2100])). 39.42/5.43 tff(f2100,plain,( 39.42/5.43 spl43_142 <=> inv_src1(sK27,sK13,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_142])])). 39.42/5.43 tff(f2877,plain,( 39.42/5.43 ~inv_src1(sK27,sK13,sK9) | (~spl43_19 | spl43_223)), 39.42/5.43 inference(resolution,[],[f2871,f1968])). 39.42/5.43 tff(f2876,plain,( 39.42/5.43 ~spl43_223 | ~spl43_224 | ~spl43_19), 39.42/5.43 inference(avatar_split_clause,[],[f2076,f676,f2873,f2869])). 39.42/5.43 tff(f2076,plain,( 39.42/5.43 ~inv_src1(sK27,sK15,sK9) | ~mem(vertex,t2tb2(sK27),t2tb(sK13)) | ~spl43_19), 39.42/5.43 inference(resolution,[],[f1968,f308])). 39.42/5.43 tff(f2849,plain,( 39.42/5.43 ~spl43_19 | ~spl43_222 | ~spl43_19), 39.42/5.43 inference(avatar_split_clause,[],[f2073,f676,f2846,f676])). 39.42/5.43 tff(f2846,plain,( 39.42/5.43 spl43_222 <=> inv_src1(sK27,sK9,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_222])])). 39.42/5.43 tff(f2073,plain,( 39.42/5.43 ~inv_src1(sK27,sK9,sK9) | ~mem(vertex,t2tb2(sK27),t2tb(sK7)) | ~spl43_19), 39.42/5.43 inference(resolution,[],[f1968,f289])). 39.42/5.43 tff(f2844,plain,( 39.42/5.43 ~spl43_104 | ~spl43_221 | ~spl43_10), 39.42/5.43 inference(avatar_split_clause,[],[f2041,f627,f2841,f1443])). 39.42/5.43 tff(f2841,plain,( 39.42/5.43 spl43_221 <=> inv_src1(sK12,sK15,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_221])])). 39.42/5.43 tff(f2041,plain,( 39.42/5.43 ~inv_src1(sK12,sK15,sK9) | ~mem(vertex,t2tb2(sK12),t2tb(sK13)) | ~spl43_10), 39.42/5.43 inference(resolution,[],[f1967,f308])). 39.42/5.43 tff(f2820,plain,( 39.42/5.43 ~spl43_220 | spl43_218), 39.42/5.43 inference(avatar_split_clause,[],[f2811,f2802,f2817])). 39.42/5.43 tff(f2817,plain,( 39.42/5.43 spl43_220 <=> inv_src1(sK26,sK13,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_220])])). 39.42/5.43 tff(f2811,plain,( 39.42/5.43 ~inv_src1(sK26,sK13,sK6) | spl43_218), 39.42/5.43 inference(resolution,[],[f2804,f609])). 39.42/5.43 tff(f2813,plain,( 39.42/5.43 ~spl43_137 | ~spl43_9 | spl43_218), 39.42/5.43 inference(avatar_split_clause,[],[f2810,f2802,f622,f2010])). 39.42/5.43 tff(f2010,plain,( 39.42/5.43 spl43_137 <=> inv_src1(sK26,sK13,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_137])])). 39.42/5.43 tff(f2810,plain,( 39.42/5.43 ~inv_src1(sK26,sK13,sK9) | (~spl43_9 | spl43_218)), 39.42/5.43 inference(resolution,[],[f2804,f1966])). 39.42/5.43 tff(f2809,plain,( 39.42/5.43 ~spl43_218 | ~spl43_219 | ~spl43_9), 39.42/5.43 inference(avatar_split_clause,[],[f1989,f622,f2806,f2802])). 39.42/5.43 tff(f1989,plain,( 39.42/5.43 ~inv_src1(sK26,sK15,sK9) | ~mem(vertex,t2tb2(sK26),t2tb(sK13)) | ~spl43_9), 39.42/5.43 inference(resolution,[],[f1966,f308])). 39.42/5.43 tff(f2798,plain,( 39.42/5.43 ~spl43_9 | ~spl43_217 | ~spl43_9), 39.42/5.43 inference(avatar_split_clause,[],[f1987,f622,f2795,f622])). 39.42/5.43 tff(f2795,plain,( 39.42/5.43 spl43_217 <=> inv_src1(sK26,sK9,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_217])])). 39.42/5.43 tff(f1987,plain,( 39.42/5.43 ~inv_src1(sK26,sK9,sK9) | ~mem(vertex,t2tb2(sK26),t2tb(sK7)) | ~spl43_9), 39.42/5.43 inference(resolution,[],[f1966,f289])). 39.42/5.43 tff(f2792,plain,( 39.42/5.43 spl43_80 | ~spl43_216 | ~spl43_8 | spl43_32), 39.42/5.43 inference(avatar_split_clause,[],[f2609,f770,f617,f2789,f1224])). 39.42/5.43 tff(f2789,plain,( 39.42/5.43 spl43_216 <=> inv_src1(sK23,sK9,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_216])])). 39.42/5.43 tff(f2609,plain,( 39.42/5.43 ~inv_src1(sK23,sK9,sK18) | mem(vertex,t2tb2(sK23),t2tb(v1)) | (~spl43_8 | spl43_32)), 39.42/5.43 inference(resolution,[],[f2534,f690])). 39.42/5.43 tff(f2783,plain,( 39.42/5.43 ~spl43_215 | spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f2777,f2773,f2780])). 39.42/5.43 tff(f2780,plain,( 39.42/5.43 spl43_215 <=> inv_src1(sK30(g_succ1(sK12)),sK14,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_215])])). 39.42/5.43 tff(f2777,plain,( 39.42/5.43 ~inv_src1(sK30(g_succ1(sK12)),sK14,sK6) | spl43_214), 39.42/5.43 inference(resolution,[],[f2775,f609])). 39.42/5.43 tff(f2776,plain,( 39.42/5.43 spl43_213 | ~spl43_214), 39.42/5.43 inference(avatar_split_clause,[],[f894,f2773,f2770])). 39.42/5.43 tff(f894,plain,( 39.42/5.43 ( ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~mem(vertex,t2tb2(sK30(g_succ1(sK12))),t2tb(sK14)) | ~path1(X0,X1,X2) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(sK12))) | mem(vertex,t2tb2(X1),t2tb(g_succ1(sK12)))) )), 39.42/5.43 inference(resolution,[],[f304,f399])). 39.42/5.43 tff(f304,plain,( 39.42/5.43 ( ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK12))) | ~mem(vertex,t2tb2(X31),t2tb(sK14))) )), 39.42/5.43 inference(cnf_transformation,[],[f241])). 39.42/5.43 tff(f2768,plain,( 39.42/5.43 ~spl43_212 | spl43_184), 39.42/5.43 inference(avatar_split_clause,[],[f2703,f2490,f2765])). 39.42/5.43 tff(f2765,plain,( 39.42/5.43 spl43_212 <=> inv_src1(sK23,sK6,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_212])])). 39.42/5.43 tff(f2703,plain,( 39.42/5.43 ~inv_src1(sK23,sK6,sK15) | spl43_184), 39.42/5.43 inference(resolution,[],[f2573,f280])). 39.42/5.43 tff(f2763,plain,( 39.42/5.43 ~spl43_211 | spl43_16 | spl43_184), 39.42/5.43 inference(avatar_split_clause,[],[f2699,f2490,f657,f2760])). 39.42/5.43 tff(f2760,plain,( 39.42/5.43 spl43_211 <=> inv_src1(sK23,sK20,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_211])])). 39.42/5.43 tff(f2699,plain,( 39.42/5.43 ~inv_src1(sK23,sK20,sK15) | (spl43_16 | spl43_184)), 39.42/5.43 inference(resolution,[],[f2573,f659])). 39.42/5.43 tff(f2758,plain,( 39.42/5.43 ~spl43_210 | spl43_32 | spl43_184), 39.42/5.43 inference(avatar_split_clause,[],[f2698,f2490,f770,f2755])). 39.42/5.43 tff(f2755,plain,( 39.42/5.43 spl43_210 <=> inv_src1(sK23,sK18,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_210])])). 39.42/5.43 tff(f2698,plain,( 39.42/5.43 ~inv_src1(sK23,sK18,sK15) | (spl43_32 | spl43_184)), 39.42/5.43 inference(resolution,[],[f2573,f772])). 39.42/5.43 tff(f2735,plain,( 39.42/5.43 ~spl43_209 | spl43_184), 39.42/5.43 inference(avatar_split_clause,[],[f2697,f2490,f2732])). 39.42/5.43 tff(f2732,plain,( 39.42/5.43 spl43_209 <=> inv_src1(sK23,sK15,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_209])])). 39.42/5.43 tff(f2697,plain,( 39.42/5.43 ~inv_src1(sK23,sK15,sK15) | spl43_184), 39.42/5.43 inference(resolution,[],[f2573,f2491])). 39.42/5.43 tff(f2730,plain,( 39.42/5.43 ~spl43_208 | spl43_17 | spl43_184), 39.42/5.43 inference(avatar_split_clause,[],[f2696,f2490,f662,f2727])). 39.42/5.43 tff(f2727,plain,( 39.42/5.43 spl43_208 <=> inv_src1(sK23,sK13,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_208])])). 39.42/5.43 tff(f2696,plain,( 39.42/5.43 ~inv_src1(sK23,sK13,sK15) | (spl43_17 | spl43_184)), 39.42/5.43 inference(resolution,[],[f2573,f664])). 39.42/5.43 tff(f2725,plain,( 39.42/5.43 ~spl43_207 | spl43_77 | spl43_184), 39.42/5.43 inference(avatar_split_clause,[],[f2695,f2490,f1205,f2722])). 39.42/5.43 tff(f2722,plain,( 39.42/5.43 spl43_207 <=> inv_src1(sK23,sK7,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_207])])). 39.42/5.43 tff(f2695,plain,( 39.42/5.43 ~inv_src1(sK23,sK7,sK15) | (spl43_77 | spl43_184)), 39.42/5.43 inference(resolution,[],[f2573,f1207])). 39.42/5.43 tff(f2670,plain,( 39.42/5.43 ~spl43_206 | spl43_205), 39.42/5.43 inference(avatar_split_clause,[],[f2664,f2660,f2667])). 39.42/5.43 tff(f2667,plain,( 39.42/5.43 spl43_206 <=> inv_src1(sK29(sK15),sK13,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_206])])). 39.42/5.43 tff(f2664,plain,( 39.42/5.43 ~inv_src1(sK29(sK15),sK13,sK6) | spl43_205), 39.42/5.43 inference(resolution,[],[f2662,f609])). 39.42/5.43 tff(f2663,plain,( 39.42/5.43 spl43_204 | ~spl43_205), 39.42/5.43 inference(avatar_split_clause,[],[f861,f2660,f2657])). 39.42/5.43 tff(f861,plain,( 39.42/5.43 ( ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~mem(vertex,t2tb2(sK29(sK15)),t2tb(sK13)) | ~path1(X0,X1,X2) | ~mem(vertex,t2tb2(X0),t2tb(sK15)) | mem(vertex,t2tb2(X1),t2tb(sK15))) )), 39.42/5.43 inference(resolution,[],[f308,f397])). 39.42/5.43 tff(f2655,plain,( 39.42/5.43 ~spl43_203 | spl43_186), 39.42/5.43 inference(avatar_split_clause,[],[f2588,f2503,f2652])). 39.42/5.43 tff(f2652,plain,( 39.42/5.43 spl43_203 <=> inv_src1(sK29(sK9),sK7,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_203])])). 39.42/5.43 tff(f2588,plain,( 39.42/5.43 ~inv_src1(sK29(sK9),sK7,sK6) | spl43_186), 39.42/5.43 inference(resolution,[],[f2505,f609])). 39.42/5.43 tff(f2650,plain,( 39.42/5.43 ~spl43_202 | spl43_32 | spl43_77), 39.42/5.43 inference(avatar_split_clause,[],[f2590,f1205,f770,f2647])). 39.42/5.43 tff(f2647,plain,( 39.42/5.43 spl43_202 <=> inv_src1(sK23,sK7,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_202])])). 39.42/5.43 tff(f2590,plain,( 39.42/5.43 ~inv_src1(sK23,sK7,sK18) | (spl43_32 | spl43_77)), 39.42/5.43 inference(resolution,[],[f2534,f1207])). 39.42/5.43 tff(f2644,plain,( 39.42/5.43 ~spl43_201 | spl43_32), 39.42/5.43 inference(avatar_split_clause,[],[f2598,f770,f2641])). 39.42/5.43 tff(f2641,plain,( 39.42/5.43 spl43_201 <=> inv_src1(sK23,sK6,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_201])])). 39.42/5.43 tff(f2598,plain,( 39.42/5.43 ~inv_src1(sK23,sK6,sK18) | spl43_32), 39.42/5.43 inference(resolution,[],[f2534,f280])). 39.42/5.43 tff(f2639,plain,( 39.42/5.43 spl43_184 | spl43_200 | spl43_17 | ~spl43_105 | ~spl43_191), 39.42/5.43 inference(avatar_split_clause,[],[f2560,f2551,f1447,f662,f2636,f2490])). 39.42/5.43 tff(f2560,plain,( 39.42/5.43 mem(vertex,t2tb2(sK23),t2tb(sK13)) | mem(vertex,t2tb2(sK23),t2tb(sK14)) | mem(vertex,t2tb2(sK23),t2tb(sK15)) | (~spl43_105 | ~spl43_191)), 39.42/5.43 inference(resolution,[],[f2553,f1448])). 39.42/5.43 tff(f2634,plain,( 39.42/5.43 ~spl43_199 | spl43_16 | spl43_32), 39.42/5.43 inference(avatar_split_clause,[],[f2594,f770,f657,f2631])). 39.42/5.43 tff(f2631,plain,( 39.42/5.43 spl43_199 <=> inv_src1(sK23,sK20,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_199])])). 39.42/5.43 tff(f2594,plain,( 39.42/5.43 ~inv_src1(sK23,sK20,sK18) | (spl43_16 | spl43_32)), 39.42/5.43 inference(resolution,[],[f2534,f659])). 39.42/5.43 tff(f2629,plain,( 39.42/5.43 ~spl43_198 | spl43_32), 39.42/5.43 inference(avatar_split_clause,[],[f2593,f770,f2626])). 39.42/5.43 tff(f2626,plain,( 39.42/5.43 spl43_198 <=> inv_src1(sK23,sK18,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_198])])). 39.42/5.43 tff(f2593,plain,( 39.42/5.43 ~inv_src1(sK23,sK18,sK18) | spl43_32), 39.42/5.43 inference(resolution,[],[f2534,f772])). 39.42/5.43 tff(f2624,plain,( 39.42/5.43 ~spl43_197 | spl43_32 | spl43_184), 39.42/5.43 inference(avatar_split_clause,[],[f2592,f2490,f770,f2621])). 39.42/5.43 tff(f2621,plain,( 39.42/5.43 spl43_197 <=> inv_src1(sK23,sK15,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_197])])). 39.42/5.43 tff(f2592,plain,( 39.42/5.43 ~inv_src1(sK23,sK15,sK18) | (spl43_32 | spl43_184)), 39.42/5.43 inference(resolution,[],[f2534,f2491])). 39.42/5.43 tff(f2619,plain,( 39.42/5.43 ~spl43_196 | spl43_17 | spl43_32), 39.42/5.43 inference(avatar_split_clause,[],[f2591,f770,f662,f2616])). 39.42/5.43 tff(f2616,plain,( 39.42/5.43 spl43_196 <=> inv_src1(sK23,sK13,sK18)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_196])])). 39.42/5.43 tff(f2591,plain,( 39.42/5.43 ~inv_src1(sK23,sK13,sK18) | (spl43_17 | spl43_32)), 39.42/5.43 inference(resolution,[],[f2534,f664])). 39.42/5.43 tff(f2583,plain,( 39.42/5.43 ~spl43_195 | spl43_184), 39.42/5.43 inference(avatar_split_clause,[],[f2572,f2490,f2580])). 39.42/5.43 tff(f2580,plain,( 39.42/5.43 spl43_195 <=> inv_src1(sK23,sK15,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_195])])). 39.42/5.43 tff(f2572,plain,( 39.42/5.43 ~inv_src1(sK23,sK15,sK6) | spl43_184), 39.42/5.43 inference(resolution,[],[f2491,f609])). 39.42/5.43 tff(f2578,plain,( 39.42/5.43 ~spl43_194 | ~spl43_31 | spl43_161), 39.42/5.43 inference(avatar_split_clause,[],[f2517,f2273,f766,f2575])). 39.42/5.43 tff(f766,plain,( 39.42/5.43 spl43_31 <=> sK12 = sK22), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_31])])). 39.42/5.43 tff(f2273,plain,( 39.42/5.43 spl43_161 <=> mem(vertex,t2tb2(sK22),t2tb(sK9))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_161])])). 39.42/5.43 tff(f2517,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK12),t2tb(sK9)) | (~spl43_31 | spl43_161)), 39.42/5.43 inference(backward_demodulation,[],[f2275,f767])). 39.42/5.43 tff(f767,plain,( 39.42/5.43 sK12 = sK22 | ~spl43_31), 39.42/5.43 inference(avatar_component_clause,[],[f766])). 39.42/5.43 tff(f2275,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK22),t2tb(sK9)) | spl43_161), 39.42/5.43 inference(avatar_component_clause,[],[f2273])). 39.42/5.43 tff(f2568,plain,( 39.42/5.43 ~spl43_193 | spl43_32 | spl43_77), 39.42/5.43 inference(avatar_split_clause,[],[f2530,f1205,f770,f2565])). 39.42/5.43 tff(f2565,plain,( 39.42/5.43 spl43_193 <=> inv_src1(sK23,sK18,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_193])])). 39.42/5.43 tff(f2530,plain,( 39.42/5.43 ~inv_src1(sK23,sK18,sK7) | (spl43_32 | spl43_77)), 39.42/5.43 inference(resolution,[],[f772,f1216])). 39.42/5.43 tff(f2559,plain,( 39.42/5.43 ~spl43_192 | ~spl43_31 | spl43_180), 39.42/5.43 inference(avatar_split_clause,[],[f2521,f2445,f766,f2556])). 39.42/5.43 tff(f2556,plain,( 39.42/5.43 spl43_192 <=> inv_src1(sK12,sK9,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_192])])). 39.42/5.43 tff(f2445,plain,( 39.42/5.43 spl43_180 <=> inv_src1(sK22,sK9,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_180])])). 39.42/5.43 tff(f2521,plain,( 39.42/5.43 ~inv_src1(sK12,sK9,sK9) | (~spl43_31 | spl43_180)), 39.42/5.43 inference(backward_demodulation,[],[f2447,f767])). 39.42/5.43 tff(f2447,plain,( 39.42/5.43 ~inv_src1(sK22,sK9,sK9) | spl43_180), 39.42/5.43 inference(avatar_component_clause,[],[f2445])). 39.42/5.43 tff(f2554,plain,( 39.42/5.43 spl43_191 | ~spl43_25 | ~spl43_31), 39.42/5.43 inference(avatar_split_clause,[],[f2509,f766,f727,f2551])). 39.42/5.43 tff(f727,plain,( 39.42/5.43 spl43_25 <=> mem(vertex,t2tb2(sK23),t2tb(g_succ1(sK22)))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_25])])). 39.42/5.43 tff(f2509,plain,( 39.42/5.43 mem(vertex,t2tb2(sK23),t2tb(g_succ1(sK12))) | (~spl43_25 | ~spl43_31)), 39.42/5.43 inference(backward_demodulation,[],[f729,f767])). 39.42/5.43 tff(f729,plain,( 39.42/5.43 mem(vertex,t2tb2(sK23),t2tb(g_succ1(sK22))) | ~spl43_25), 39.42/5.43 inference(avatar_component_clause,[],[f727])). 39.42/5.43 tff(f2549,plain,( 39.42/5.43 ~spl43_190 | spl43_32), 39.42/5.43 inference(avatar_split_clause,[],[f2533,f770,f2546])). 39.42/5.43 tff(f2546,plain,( 39.42/5.43 spl43_190 <=> inv_src1(sK23,sK18,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_190])])). 39.42/5.43 tff(f2533,plain,( 39.42/5.43 ~inv_src1(sK23,sK18,sK6) | spl43_32), 39.42/5.43 inference(resolution,[],[f772,f609])). 39.42/5.43 tff(f2544,plain,( 39.42/5.43 ~spl43_189 | spl43_16 | spl43_32), 39.42/5.43 inference(avatar_split_clause,[],[f2532,f770,f657,f2541])). 39.42/5.43 tff(f2541,plain,( 39.42/5.43 spl43_189 <=> inv_src1(sK23,sK18,sK20)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_189])])). 39.42/5.43 tff(f2532,plain,( 39.42/5.43 ~inv_src1(sK23,sK18,sK20) | (spl43_16 | spl43_32)), 39.42/5.43 inference(resolution,[],[f772,f715])). 39.42/5.43 tff(f2539,plain,( 39.42/5.43 ~spl43_188 | spl43_17 | spl43_32), 39.42/5.43 inference(avatar_split_clause,[],[f2531,f770,f662,f2536])). 39.42/5.43 tff(f2536,plain,( 39.42/5.43 spl43_188 <=> inv_src1(sK23,sK18,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_188])])). 39.42/5.43 tff(f2531,plain,( 39.42/5.43 ~inv_src1(sK23,sK18,sK13) | (spl43_17 | spl43_32)), 39.42/5.43 inference(resolution,[],[f772,f716])). 39.42/5.43 tff(f2529,plain,( 39.42/5.43 ~spl43_187 | ~spl43_31 | spl43_163), 39.42/5.43 inference(avatar_split_clause,[],[f2519,f2285,f766,f2526])). 39.42/5.43 tff(f2526,plain,( 39.42/5.43 spl43_187 <=> inv_src1(sK12,sK9,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_187])])). 39.42/5.43 tff(f2285,plain,( 39.42/5.43 spl43_163 <=> inv_src1(sK22,sK9,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_163])])). 39.42/5.43 tff(f2519,plain,( 39.42/5.43 ~inv_src1(sK12,sK9,sK15) | (~spl43_31 | spl43_163)), 39.42/5.43 inference(backward_demodulation,[],[f2287,f767])). 39.42/5.43 tff(f2287,plain,( 39.42/5.43 ~inv_src1(sK22,sK9,sK15) | spl43_163), 39.42/5.43 inference(avatar_component_clause,[],[f2285])). 39.42/5.43 tff(f2507,plain,( 39.42/5.43 spl43_80 | ~spl43_11 | ~spl43_184), 39.42/5.43 inference(avatar_split_clause,[],[f2496,f2490,f632,f1224])). 39.42/5.43 tff(f2496,plain,( 39.42/5.43 mem(vertex,t2tb2(sK23),t2tb(v1)) | (~spl43_11 | ~spl43_184)), 39.42/5.43 inference(resolution,[],[f2492,f699])). 39.42/5.43 tff(f2506,plain,( 39.42/5.43 spl43_185 | ~spl43_186), 39.42/5.43 inference(avatar_split_clause,[],[f849,f2503,f2500])). 39.42/5.43 tff(f849,plain,( 39.42/5.43 ( ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~mem(vertex,t2tb2(sK29(sK9)),t2tb(sK7)) | ~path1(X0,X1,X2) | ~mem(vertex,t2tb2(X0),t2tb(sK9)) | mem(vertex,t2tb2(X1),t2tb(sK9))) )), 39.42/5.43 inference(resolution,[],[f289,f397])). 39.42/5.43 tff(f2498,plain,( 39.42/5.43 ~spl43_128 | ~spl43_184), 39.42/5.43 inference(avatar_split_clause,[],[f2497,f2490,f1669])). 39.42/5.43 tff(f2497,plain,( 39.42/5.43 ~is_empty(vertex,t2tb(sK15)) | ~spl43_184), 39.42/5.43 inference(resolution,[],[f2492,f408])). 39.42/5.43 tff(f2493,plain,( 39.42/5.43 ~spl43_15 | spl43_17 | spl43_31 | spl43_184 | ~spl43_25), 39.42/5.43 inference(avatar_split_clause,[],[f1390,f727,f2490,f766,f662,f652])). 39.42/5.43 tff(f652,plain,( 39.42/5.43 spl43_15 <=> mem(vertex,t2tb2(sK22),t2tb(sK13))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_15])])). 39.42/5.43 tff(f1390,plain,( 39.42/5.43 mem(vertex,t2tb2(sK23),t2tb(sK15)) | sK12 = sK22 | mem(vertex,t2tb2(sK23),t2tb(sK13)) | ~mem(vertex,t2tb2(sK22),t2tb(sK13)) | ~spl43_25), 39.42/5.43 inference(resolution,[],[f311,f729])). 39.42/5.43 tff(f2488,plain,( 39.42/5.43 ~spl43_183 | ~spl43_104), 39.42/5.43 inference(avatar_split_clause,[],[f2462,f1443,f2485])). 39.42/5.43 tff(f2485,plain,( 39.42/5.43 spl43_183 <=> inv_src1(sK12,sK6,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_183])])). 39.42/5.43 tff(f2462,plain,( 39.42/5.43 ~inv_src1(sK12,sK6,sK15) | ~spl43_104), 39.42/5.43 inference(resolution,[],[f2339,f280])). 39.42/5.43 tff(f2483,plain,( 39.42/5.43 ~spl43_182 | ~spl43_104 | spl43_166), 39.42/5.43 inference(avatar_split_clause,[],[f2458,f2304,f1443,f2480])). 39.42/5.43 tff(f2480,plain,( 39.42/5.43 spl43_182 <=> inv_src1(sK12,sK11,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_182])])). 39.42/5.43 tff(f2458,plain,( 39.42/5.43 ~inv_src1(sK12,sK11,sK15) | (~spl43_104 | spl43_166)), 39.42/5.43 inference(resolution,[],[f2339,f2306])). 39.42/5.43 tff(f2453,plain,( 39.42/5.43 ~spl43_181 | spl43_161), 39.42/5.43 inference(avatar_split_clause,[],[f2427,f2273,f2450])). 39.42/5.43 tff(f2450,plain,( 39.42/5.43 spl43_181 <=> inv_src1(sK22,sK6,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_181])])). 39.42/5.43 tff(f2427,plain,( 39.42/5.43 ~inv_src1(sK22,sK6,sK9) | spl43_161), 39.42/5.43 inference(resolution,[],[f2283,f280])). 39.42/5.43 tff(f2283,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK22),t2tb(X0)) | ~inv_src1(sK22,X0,sK9)) ) | spl43_161), 39.42/5.43 inference(resolution,[],[f2275,f475])). 39.42/5.43 tff(f2448,plain,( 39.42/5.43 ~spl43_180 | spl43_161), 39.42/5.43 inference(avatar_split_clause,[],[f2423,f2273,f2445])). 39.42/5.43 tff(f2423,plain,( 39.42/5.43 ~inv_src1(sK22,sK9,sK9) | spl43_161), 39.42/5.43 inference(resolution,[],[f2283,f2275])). 39.42/5.43 tff(f2417,plain,( 39.42/5.43 ~spl43_179 | ~spl43_178), 39.42/5.43 inference(avatar_split_clause,[],[f2412,f2408,f2414])). 39.42/5.43 tff(f2414,plain,( 39.42/5.43 spl43_179 <=> is_empty(vertex,t2tb(sK20))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_179])])). 39.42/5.43 tff(f2412,plain,( 39.42/5.43 ~is_empty(vertex,t2tb(sK20)) | ~spl43_178), 39.42/5.43 inference(resolution,[],[f2410,f408])). 39.42/5.43 tff(f2411,plain,( 39.42/5.43 ~spl43_171 | spl43_178 | ~spl43_158), 39.42/5.43 inference(avatar_split_clause,[],[f2256,f2248,f2408,f2349])). 39.42/5.43 tff(f2256,plain,( 39.42/5.43 mem(vertex,t2tb2(sK19),t2tb(sK20)) | ~sort1(vertex,t2tb2(sK19)) | ~spl43_158), 39.42/5.43 inference(superposition,[],[f556,f2250])). 39.42/5.43 tff(f556,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : uni,X0 : ty] : (mem(X0,X2,add(X0,X2,X3)) | ~sort1(X0,X2)) )), 39.42/5.43 inference(duplicate_literal_removal,[],[f506])). 39.42/5.43 tff(f506,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : uni,X0 : ty] : (mem(X0,X2,add(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X2)) )), 39.42/5.43 inference(equality_resolution,[],[f438])). 39.42/5.43 tff(f438,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X1,add(X0,X2,X3)) | X1 != X2 | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 39.42/5.43 inference(cnf_transformation,[],[f256])). 39.42/5.43 tff(f2405,plain,( 39.42/5.43 ~spl43_177 | spl43_84 | spl43_172), 39.42/5.43 inference(avatar_split_clause,[],[f2377,f2353,f1244,f2402])). 39.42/5.43 tff(f2402,plain,( 39.42/5.43 spl43_177 <=> inv_src1(sK19,sK18,sK7)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_177])])). 39.42/5.43 tff(f2377,plain,( 39.42/5.43 ~inv_src1(sK19,sK18,sK7) | (spl43_84 | spl43_172)), 39.42/5.43 inference(resolution,[],[f2355,f1255])). 39.42/5.43 tff(f2400,plain,( 39.42/5.43 ~spl43_104 | spl43_176), 39.42/5.43 inference(avatar_split_clause,[],[f534,f2398,f1443])). 39.42/5.43 tff(f2398,plain,( 39.42/5.43 spl43_176 <=> ! [X31 : $int,X29 : $int,X28 : vertex1,X30 : $int] : (tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))) != X29 | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(sK12))) | mem(vertex,t2tb2(X28),t2tb(sK14)) | ~$less($sum(X29,X30),X31) | tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X28))) != X31 | weight1(sK12,X28) != X30)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_176])])). 39.42/5.43 tff(f534,plain,( 39.42/5.43 ( ! [X31 : $int,X28 : vertex1,X29 : $int,X30 : $int] : (tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))) != X29 | weight1(sK12,X28) != X30 | tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X28))) != X31 | ~$less($sum(X29,X30),X31) | mem(vertex,t2tb2(X28),t2tb(sK14)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(sK12))) | ~mem(vertex,t2tb2(sK12),t2tb(sK13))) )), 39.42/5.43 inference(theory_flattening,[],[f504])). 39.42/5.43 tff(f504,plain,( 39.42/5.43 ( ! [X28 : vertex1] : (~$less($sum(tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))),weight1(sK12,X28)),tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X28)))) | mem(vertex,t2tb2(X28),t2tb(sK14)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(sK12))) | ~mem(vertex,t2tb2(sK12),t2tb(sK13))) )), 39.42/5.43 inference(equality_resolution,[],[f312])). 39.42/5.43 tff(f312,plain,( 39.42/5.43 ( ! [X28 : vertex1,X27 : vertex1] : (~$less($sum(tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X28)))) | mem(vertex,t2tb2(X28),t2tb(sK14)) | sK12 != X27 | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27))) | ~mem(vertex,t2tb2(X27),t2tb(sK13))) )), 39.42/5.43 inference(cnf_transformation,[],[f241])). 39.42/5.43 tff(f2396,plain,( 39.42/5.43 ~spl43_175 | spl43_172), 39.42/5.43 inference(avatar_split_clause,[],[f2380,f2353,f2393])). 39.42/5.43 tff(f2393,plain,( 39.42/5.43 spl43_175 <=> inv_src1(sK19,sK18,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_175])])). 39.42/5.43 tff(f2380,plain,( 39.42/5.43 ~inv_src1(sK19,sK18,sK6) | spl43_172), 39.42/5.43 inference(resolution,[],[f2355,f609])). 39.42/5.43 tff(f2391,plain,( 39.42/5.43 ~spl43_174 | spl43_45 | spl43_172), 39.42/5.43 inference(avatar_split_clause,[],[f2379,f2353,f952,f2388])). 39.42/5.43 tff(f2388,plain,( 39.42/5.43 spl43_174 <=> inv_src1(sK19,sK18,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_174])])). 39.42/5.43 tff(f2379,plain,( 39.42/5.43 ~inv_src1(sK19,sK18,sK13) | (spl43_45 | spl43_172)), 39.42/5.43 inference(resolution,[],[f2355,f961])). 39.42/5.43 tff(f2386,plain,( 39.42/5.43 ~spl43_173 | spl43_48 | spl43_172), 39.42/5.43 inference(avatar_split_clause,[],[f2378,f2353,f968,f2383])). 39.42/5.43 tff(f2383,plain,( 39.42/5.43 spl43_173 <=> inv_src1(sK19,sK18,sK15)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_173])])). 39.42/5.43 tff(f2378,plain,( 39.42/5.43 ~inv_src1(sK19,sK18,sK15) | (spl43_48 | spl43_172)), 39.42/5.43 inference(resolution,[],[f2355,f973])). 39.42/5.43 tff(f2358,plain,( 39.42/5.43 spl43_171), 39.42/5.43 inference(avatar_contradiction_clause,[],[f2357])). 39.42/5.43 tff(f2357,plain,( 39.42/5.43 $false | spl43_171), 39.42/5.43 inference(resolution,[],[f2351,f381])). 39.42/5.43 tff(f2351,plain,( 39.42/5.43 ~sort1(vertex,t2tb2(sK19)) | spl43_171), 39.42/5.43 inference(avatar_component_clause,[],[f2349])). 39.42/5.43 tff(f2356,plain,( 39.42/5.43 ~spl43_171 | ~spl43_172 | ~spl43_155), 39.42/5.43 inference(avatar_split_clause,[],[f2235,f2222,f2353,f2349])). 39.42/5.43 tff(f2235,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK19),t2tb(sK18)) | ~sort1(vertex,t2tb2(sK19)) | ~spl43_155), 39.42/5.43 inference(superposition,[],[f557,f2224])). 39.42/5.43 tff(f557,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : uni,X0 : ty] : (~mem(X0,X2,remove(X0,X2,X3)) | ~sort1(X0,X2)) )), 39.42/5.43 inference(duplicate_literal_removal,[],[f507])). 39.42/5.43 tff(f507,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : uni,X0 : ty] : (~mem(X0,X2,remove(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X2)) )), 39.42/5.43 inference(equality_resolution,[],[f481])). 39.42/5.43 tff(f481,plain,( 39.42/5.43 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (X1 != X2 | ~mem(X0,X1,remove(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 39.42/5.43 inference(cnf_transformation,[],[f267])). 39.42/5.43 tff(f2347,plain,( 39.42/5.43 ~spl43_170 | ~spl43_104), 39.42/5.43 inference(avatar_split_clause,[],[f2340,f1443,f2344])). 39.42/5.43 tff(f2344,plain,( 39.42/5.43 spl43_170 <=> inv_src1(sK12,sK15,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_170])])). 39.42/5.43 tff(f2340,plain,( 39.42/5.43 ~inv_src1(sK12,sK15,sK6) | ~spl43_104), 39.42/5.43 inference(resolution,[],[f1444,f862])). 39.42/5.43 tff(f2338,plain,( 39.42/5.43 ~spl43_165 | spl43_104 | ~spl43_152), 39.42/5.43 inference(avatar_split_clause,[],[f2208,f2189,f1443,f2300])). 39.42/5.43 tff(f2208,plain,( 39.42/5.43 mem(vertex,t2tb2(sK12),t2tb(sK13)) | ~sort1(vertex,t2tb2(sK12)) | ~spl43_152), 39.42/5.43 inference(superposition,[],[f556,f2191])). 39.42/5.43 tff(f2333,plain,( 39.42/5.43 ~spl43_169 | spl43_166), 39.42/5.43 inference(avatar_split_clause,[],[f2317,f2304,f2330])). 39.42/5.43 tff(f2330,plain,( 39.42/5.43 spl43_169 <=> inv_src1(sK12,sK11,sK6)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_169])])). 39.42/5.43 tff(f2317,plain,( 39.42/5.43 ~inv_src1(sK12,sK11,sK6) | spl43_166), 39.42/5.43 inference(resolution,[],[f2306,f609])). 39.42/5.43 tff(f2328,plain,( 39.42/5.43 ~spl43_168 | spl43_104 | spl43_166), 39.42/5.43 inference(avatar_split_clause,[],[f2316,f2304,f1443,f2325])). 39.42/5.43 tff(f2325,plain,( 39.42/5.43 spl43_168 <=> inv_src1(sK12,sK11,sK13)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_168])])). 39.42/5.43 tff(f2316,plain,( 39.42/5.43 ~inv_src1(sK12,sK11,sK13) | (spl43_104 | spl43_166)), 39.42/5.43 inference(resolution,[],[f2306,f1451])). 39.42/5.43 tff(f1451,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK12),t2tb(X0)) | ~inv_src1(sK12,X0,sK13)) ) | spl43_104), 39.42/5.43 inference(resolution,[],[f1445,f475])). 39.42/5.43 tff(f1445,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK12),t2tb(sK13)) | spl43_104), 39.42/5.43 inference(avatar_component_clause,[],[f1443])). 39.42/5.43 tff(f2323,plain,( 39.42/5.43 ~spl43_167 | ~spl43_10 | spl43_166), 39.42/5.43 inference(avatar_split_clause,[],[f2315,f2304,f627,f2320])). 39.42/5.43 tff(f2320,plain,( 39.42/5.43 spl43_167 <=> inv_src1(sK12,sK11,sK9)), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_167])])). 39.42/5.43 tff(f2315,plain,( 39.42/5.43 ~inv_src1(sK12,sK11,sK9) | (~spl43_10 | spl43_166)), 39.42/5.43 inference(resolution,[],[f2306,f1967])). 39.42/5.43 tff(f2309,plain,( 39.42/5.43 spl43_165), 39.42/5.43 inference(avatar_contradiction_clause,[],[f2308])). 39.42/5.43 tff(f2308,plain,( 39.42/5.43 $false | spl43_165), 39.42/5.43 inference(resolution,[],[f2302,f381])). 39.42/5.43 tff(f2302,plain,( 39.42/5.43 ~sort1(vertex,t2tb2(sK12)) | spl43_165), 39.42/5.43 inference(avatar_component_clause,[],[f2300])). 39.42/5.43 tff(f2307,plain,( 39.42/5.43 ~spl43_165 | ~spl43_166 | ~spl43_146), 39.42/5.43 inference(avatar_split_clause,[],[f2178,f2146,f2304,f2300])). 39.42/5.43 tff(f2178,plain,( 39.42/5.43 ~mem(vertex,t2tb2(sK12),t2tb(sK11)) | ~sort1(vertex,t2tb2(sK12)) | ~spl43_146), 39.42/5.43 inference(superposition,[],[f557,f2148])). 39.42/5.43 tff(f2298,plain,( 39.42/5.43 ~spl43_164 | ~spl43_160), 39.42/5.43 inference(avatar_split_clause,[],[f2289,f2266,f2295])). 39.42/5.43 tff(f2295,plain,( 39.42/5.43 spl43_164 <=> is_empty(vertex,t2tb(sK4))), 39.42/5.43 introduced(avatar_definition,[new_symbols(naming,[spl43_164])])). 39.42/5.43 tff(f2289,plain,( 39.42/5.43 ~is_empty(vertex,t2tb(sK4)) | ~spl43_160), 39.42/5.43 inference(resolution,[],[f2268,f408])). 39.42/5.43 tff(f2288,plain,( 39.42/5.43 ~spl43_163 | ~spl43_15 | spl43_161), 39.42/5.43 inference(avatar_split_clause,[],[f2281,f2273,f652,f2285])). 39.42/5.43 tff(f2281,plain,( 39.42/5.43 ~inv_src1(sK22,sK9,sK15) | (~spl43_15 | spl43_161)), 39.42/5.43 inference(resolution,[],[f2275,f2014])). 39.42/5.43 tff(f2014,plain,( 39.42/5.43 ( ! [X0 : set_vertex] : (mem(vertex,t2tb2(sK22),t2tb(X0)) | ~inv_src1(sK22,X0,sK15)) ) | ~spl43_15), 39.42/5.43 inference(resolution,[],[f863,f654])). 39.42/5.43 tff(f654,plain,( 39.42/5.43 mem(vertex,t2tb2(sK22),t2tb(sK13)) | ~spl43_15), 39.42/5.43 inference(avatar_component_clause,[],[f652])). 39.42/5.43 tff(f2280,plain,( 39.42/5.43 ~spl43_161 | spl43_77 | spl43_162 | ~spl43_25), 39.42/5.43 inference(avatar_split_clause,[],[f1272,f727,f2277,f1205,f2273])). 39.42/5.43 tff(f1272,plain,( 39.42/5.43 mem(vertex,t2tb2(sK23),t2tb(sK9)) | mem(vertex,t2tb2(sK23),t2tb(sK7)) | ~mem(vertex,t2tb2(sK22),t2tb(sK9)) | ~spl43_25), 39.42/5.43 inference(resolution,[],[f286,f729])). 39.42/5.43 tff(f2271,plain,( 39.42/5.43 spl43_159), 39.42/5.43 inference(avatar_contradiction_clause,[],[f2270])). 39.42/5.43 tff(f2270,plain,( 39.42/5.43 $false | spl43_159), 39.42/5.43 inference(resolution,[],[f2264,f381])). 39.42/5.43 tff(f2264,plain,( 39.42/5.43 ~sort1(vertex,t2tb2(sK1)) | spl43_159), 39.42/5.43 inference(avatar_component_clause,[],[f2262])). 39.42/5.43 tff(f2269,plain,( 39.42/5.43 ~spl43_159 | spl43_160 | ~spl43_144), 39.42/5.43 inference(avatar_split_clause,[],[f2117,f2109,f2266,f2262])). 39.42/5.43 tff(f2117,plain,( 39.42/5.43 mem(vertex,t2tb2(sK1),t2tb(sK4)) | ~sort1(vertex,t2tb2(sK1)) | ~spl43_144), 39.42/5.43 inference(superposition,[],[f556,f2111])). 39.42/5.44 tff(f2253,plain,( 39.42/5.44 spl43_157), 39.42/5.44 inference(avatar_contradiction_clause,[],[f2252])). 39.42/5.44 tff(f2252,plain,( 39.42/5.44 $false | spl43_157), 39.42/5.44 inference(resolution,[],[f2246,f419])). 39.42/5.44 tff(f419,plain,( 39.42/5.44 ( ! [X2 : uni,X0 : ty,X1 : uni] : (sort1(set(X0),add(X0,X1,X2))) )), 39.42/5.44 inference(cnf_transformation,[],[f130])). 39.42/5.44 tff(f130,plain,( 39.42/5.44 ! [X0 : ty,X1 : uni,X2 : uni] : sort1(set(X0),add(X0,X1,X2))), 39.42/5.44 inference(rectify,[],[f44])). 39.42/5.44 tff(f44,axiom,( 39.42/5.44 ! [X0 : ty,X3 : uni,X17 : uni] : sort1(set(X0),add(X0,X3,X17))), 39.42/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_sort1)). 39.42/5.44 tff(f2246,plain,( 39.42/5.44 ~sort1(set(vertex),add(vertex,t2tb2(sK19),t2tb(sK15))) | spl43_157), 39.42/5.44 inference(avatar_component_clause,[],[f2244])). 39.42/5.44 tff(f2244,plain,( 39.42/5.44 spl43_157 <=> sort1(set(vertex),add(vertex,t2tb2(sK19),t2tb(sK15)))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_157])])). 39.42/5.44 tff(f2251,plain,( 39.42/5.44 ~spl43_157 | spl43_158 | ~spl43_67), 39.42/5.44 inference(avatar_split_clause,[],[f1180,f1137,f2248,f2244])). 39.42/5.44 tff(f1180,plain,( 39.42/5.44 add(vertex,t2tb2(sK19),t2tb(sK15)) = t2tb(sK20) | ~sort1(set(vertex),add(vertex,t2tb2(sK19),t2tb(sK15))) | ~spl43_67), 39.42/5.44 inference(superposition,[],[f396,f1139])). 39.42/5.44 tff(f1139,plain,( 39.42/5.44 tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) = sK20 | ~spl43_67), 39.42/5.44 inference(avatar_component_clause,[],[f1137])). 39.42/5.44 tff(f396,plain,( 39.42/5.44 ( ! [X0 : uni] : (t2tb(tb2t(X0)) = X0 | ~sort1(set(vertex),X0)) )), 39.42/5.44 inference(cnf_transformation,[],[f171])). 39.42/5.44 tff(f171,plain,( 39.42/5.44 ! [X0 : uni] : (t2tb(tb2t(X0)) = X0 | ~sort1(set(vertex),X0))), 39.42/5.44 inference(ennf_transformation,[],[f110])). 39.42/5.44 tff(f110,plain,( 39.42/5.44 ! [X0 : uni] : (sort1(set(vertex),X0) => t2tb(tb2t(X0)) = X0)), 39.42/5.44 inference(rectify,[],[f3])). 39.42/5.44 tff(f3,axiom,( 39.42/5.44 ! [X5 : uni] : (sort1(set(vertex),X5) => t2tb(tb2t(X5)) = X5)), 39.42/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)). 39.42/5.44 tff(f2240,plain,( 39.42/5.44 spl43_156 | ~spl43_155), 39.42/5.44 inference(avatar_split_clause,[],[f2230,f2222,f2237])). 39.42/5.44 tff(f2230,plain,( 39.42/5.44 subset(vertex,t2tb(sK18),t2tb(sK14)) | ~spl43_155), 39.42/5.44 inference(superposition,[],[f422,f2224])). 39.42/5.44 tff(f2227,plain,( 39.42/5.44 spl43_154), 39.42/5.44 inference(avatar_contradiction_clause,[],[f2226])). 39.42/5.44 tff(f2226,plain,( 39.42/5.44 $false | spl43_154), 39.42/5.44 inference(resolution,[],[f2220,f420])). 39.42/5.44 tff(f420,plain,( 39.42/5.44 ( ! [X2 : uni,X0 : ty,X1 : uni] : (sort1(set(X0),remove(X0,X1,X2))) )), 39.42/5.44 inference(cnf_transformation,[],[f131])). 39.42/5.44 tff(f131,plain,( 39.42/5.44 ! [X0 : ty,X1 : uni,X2 : uni] : sort1(set(X0),remove(X0,X1,X2))), 39.42/5.44 inference(rectify,[],[f77])). 39.42/5.44 tff(f77,axiom,( 39.42/5.44 ! [X0 : ty,X3 : uni,X17 : uni] : sort1(set(X0),remove(X0,X3,X17))), 39.42/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remove_sort1)). 39.42/5.44 tff(f2220,plain,( 39.42/5.44 ~sort1(set(vertex),remove(vertex,t2tb2(sK19),t2tb(sK14))) | spl43_154), 39.42/5.44 inference(avatar_component_clause,[],[f2218])). 39.42/5.44 tff(f2218,plain,( 39.42/5.44 spl43_154 <=> sort1(set(vertex),remove(vertex,t2tb2(sK19),t2tb(sK14)))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_154])])). 39.42/5.44 tff(f2225,plain,( 39.42/5.44 ~spl43_154 | spl43_155 | ~spl43_30), 39.42/5.44 inference(avatar_split_clause,[],[f777,f761,f2222,f2218])). 39.42/5.44 tff(f761,plain,( 39.42/5.44 spl43_30 <=> sK18 = tb2t(remove(vertex,t2tb2(sK19),t2tb(sK14)))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_30])])). 39.42/5.44 tff(f777,plain,( 39.42/5.44 t2tb(sK18) = remove(vertex,t2tb2(sK19),t2tb(sK14)) | ~sort1(set(vertex),remove(vertex,t2tb2(sK19),t2tb(sK14))) | ~spl43_30), 39.42/5.44 inference(superposition,[],[f396,f763])). 39.42/5.44 tff(f763,plain,( 39.42/5.44 sK18 = tb2t(remove(vertex,t2tb2(sK19),t2tb(sK14))) | ~spl43_30), 39.42/5.44 inference(avatar_component_clause,[],[f761])). 39.42/5.44 tff(f2205,plain,( 39.42/5.44 spl43_151), 39.42/5.44 inference(avatar_contradiction_clause,[],[f2204])). 39.42/5.44 tff(f2204,plain,( 39.42/5.44 $false | spl43_151), 39.42/5.44 inference(resolution,[],[f2187,f419])). 39.42/5.44 tff(f2187,plain,( 39.42/5.44 ~sort1(set(vertex),add(vertex,t2tb2(sK12),t2tb(sK9))) | spl43_151), 39.42/5.44 inference(avatar_component_clause,[],[f2185])). 39.42/5.44 tff(f2185,plain,( 39.42/5.44 spl43_151 <=> sort1(set(vertex),add(vertex,t2tb2(sK12),t2tb(sK9)))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_151])])). 39.42/5.44 tff(f2201,plain,( 39.42/5.44 spl43_153 | ~spl43_7 | ~spl43_150), 39.42/5.44 inference(avatar_split_clause,[],[f2193,f2180,f612,f2197])). 39.42/5.44 tff(f2197,plain,( 39.42/5.44 spl43_153 <=> subset(vertex,t2tb(sK11),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_153])])). 39.42/5.44 tff(f2193,plain,( 39.42/5.44 subset(vertex,t2tb(sK11),t2tb(v1)) | (~spl43_7 | ~spl43_150)), 39.42/5.44 inference(resolution,[],[f2182,f687])). 39.42/5.44 tff(f2200,plain,( 39.42/5.44 spl43_153 | ~spl43_7 | ~spl43_146), 39.42/5.44 inference(avatar_split_clause,[],[f2171,f2146,f612,f2197])). 39.42/5.44 tff(f2171,plain,( 39.42/5.44 subset(vertex,t2tb(sK11),t2tb(v1)) | (~spl43_7 | ~spl43_146)), 39.42/5.44 inference(superposition,[],[f819,f2148])). 39.42/5.44 tff(f2192,plain,( 39.42/5.44 ~spl43_151 | spl43_152 | ~spl43_29), 39.42/5.44 inference(avatar_split_clause,[],[f776,f756,f2189,f2185])). 39.42/5.44 tff(f756,plain,( 39.42/5.44 spl43_29 <=> tb2t(add(vertex,t2tb2(sK12),t2tb(sK9))) = sK13), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_29])])). 39.42/5.44 tff(f776,plain,( 39.42/5.44 add(vertex,t2tb2(sK12),t2tb(sK9)) = t2tb(sK13) | ~sort1(set(vertex),add(vertex,t2tb2(sK12),t2tb(sK9))) | ~spl43_29), 39.42/5.44 inference(superposition,[],[f396,f758])). 39.42/5.44 tff(f758,plain,( 39.42/5.44 tb2t(add(vertex,t2tb2(sK12),t2tb(sK9))) = sK13 | ~spl43_29), 39.42/5.44 inference(avatar_component_clause,[],[f756])). 39.42/5.44 tff(f2183,plain,( 39.42/5.44 spl43_150 | ~spl43_146), 39.42/5.44 inference(avatar_split_clause,[],[f2173,f2146,f2180])). 39.42/5.44 tff(f2173,plain,( 39.42/5.44 subset(vertex,t2tb(sK11),t2tb(sK7)) | ~spl43_146), 39.42/5.44 inference(superposition,[],[f422,f2148])). 39.42/5.44 tff(f2165,plain,( 39.42/5.44 spl43_145), 39.42/5.44 inference(avatar_contradiction_clause,[],[f2164])). 39.42/5.44 tff(f2164,plain,( 39.42/5.44 $false | spl43_145), 39.42/5.44 inference(resolution,[],[f2144,f420])). 39.42/5.44 tff(f2144,plain,( 39.42/5.44 ~sort1(set(vertex),remove(vertex,t2tb2(sK12),t2tb(sK7))) | spl43_145), 39.42/5.44 inference(avatar_component_clause,[],[f2142])). 39.42/5.44 tff(f2142,plain,( 39.42/5.44 spl43_145 <=> sort1(set(vertex),remove(vertex,t2tb2(sK12),t2tb(sK7)))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_145])])). 39.42/5.44 tff(f2163,plain,( 39.42/5.44 ~spl43_148 | ~spl43_149 | ~spl43_15), 39.42/5.44 inference(avatar_split_clause,[],[f2126,f652,f2160,f2156])). 39.42/5.44 tff(f2156,plain,( 39.42/5.44 spl43_148 <=> inv_src1(sK22,sK9,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_148])])). 39.42/5.44 tff(f2160,plain,( 39.42/5.44 spl43_149 <=> inv_src1(sK22,sK7,sK15)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_149])])). 39.42/5.44 tff(f2126,plain,( 39.42/5.44 ~inv_src1(sK22,sK7,sK15) | ~inv_src1(sK22,sK9,sK6) | ~spl43_15), 39.42/5.44 inference(resolution,[],[f2014,f850])). 39.42/5.44 tff(f2154,plain,( 39.42/5.44 ~spl43_147 | ~spl43_15), 39.42/5.44 inference(avatar_split_clause,[],[f2124,f652,f2151])). 39.42/5.44 tff(f2151,plain,( 39.42/5.44 spl43_147 <=> inv_src1(sK22,sK6,sK15)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_147])])). 39.42/5.44 tff(f2124,plain,( 39.42/5.44 ~inv_src1(sK22,sK6,sK15) | ~spl43_15), 39.42/5.44 inference(resolution,[],[f2014,f280])). 39.42/5.44 tff(f2149,plain,( 39.42/5.44 ~spl43_145 | spl43_146 | ~spl43_28), 39.42/5.44 inference(avatar_split_clause,[],[f775,f751,f2146,f2142])). 39.42/5.44 tff(f751,plain,( 39.42/5.44 spl43_28 <=> sK11 = tb2t(remove(vertex,t2tb2(sK12),t2tb(sK7)))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_28])])). 39.42/5.44 tff(f775,plain,( 39.42/5.44 remove(vertex,t2tb2(sK12),t2tb(sK7)) = t2tb(sK11) | ~sort1(set(vertex),remove(vertex,t2tb2(sK12),t2tb(sK7))) | ~spl43_28), 39.42/5.44 inference(superposition,[],[f396,f753])). 39.42/5.44 tff(f753,plain,( 39.42/5.44 sK11 = tb2t(remove(vertex,t2tb2(sK12),t2tb(sK7))) | ~spl43_28), 39.42/5.44 inference(avatar_component_clause,[],[f751])). 39.42/5.44 tff(f2114,plain,( 39.42/5.44 spl43_143), 39.42/5.44 inference(avatar_contradiction_clause,[],[f2113])). 39.42/5.44 tff(f2113,plain,( 39.42/5.44 $false | spl43_143), 39.42/5.44 inference(resolution,[],[f2107,f419])). 39.42/5.44 tff(f2107,plain,( 39.42/5.44 ~sort1(set(vertex),add(vertex,t2tb2(sK1),empty(vertex))) | spl43_143), 39.42/5.44 inference(avatar_component_clause,[],[f2105])). 39.42/5.44 tff(f2105,plain,( 39.42/5.44 spl43_143 <=> sort1(set(vertex),add(vertex,t2tb2(sK1),empty(vertex)))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_143])])). 39.42/5.44 tff(f2112,plain,( 39.42/5.44 ~spl43_143 | spl43_144 | ~spl43_27), 39.42/5.44 inference(avatar_split_clause,[],[f774,f739,f2109,f2105])). 39.42/5.44 tff(f739,plain,( 39.42/5.44 spl43_27 <=> tb2t(add(vertex,t2tb2(sK1),empty(vertex))) = sK4), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_27])])). 39.42/5.44 tff(f774,plain,( 39.42/5.44 add(vertex,t2tb2(sK1),empty(vertex)) = t2tb(sK4) | ~sort1(set(vertex),add(vertex,t2tb2(sK1),empty(vertex))) | ~spl43_27), 39.42/5.44 inference(superposition,[],[f396,f741])). 39.42/5.44 tff(f741,plain,( 39.42/5.44 tb2t(add(vertex,t2tb2(sK1),empty(vertex))) = sK4 | ~spl43_27), 39.42/5.44 inference(avatar_component_clause,[],[f739])). 39.42/5.44 tff(f2103,plain,( 39.42/5.44 ~spl43_141 | ~spl43_142 | ~spl43_19), 39.42/5.44 inference(avatar_split_clause,[],[f2075,f676,f2100,f2096])). 39.42/5.44 tff(f2096,plain,( 39.42/5.44 spl43_141 <=> inv_src1(sK27,sK15,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_141])])). 39.42/5.44 tff(f2075,plain,( 39.42/5.44 ~inv_src1(sK27,sK13,sK9) | ~inv_src1(sK27,sK15,sK6) | ~spl43_19), 39.42/5.44 inference(resolution,[],[f1968,f862])). 39.42/5.44 tff(f2091,plain,( 39.42/5.44 ~spl43_140 | ~spl43_19), 39.42/5.44 inference(avatar_split_clause,[],[f2070,f676,f2088])). 39.42/5.44 tff(f2088,plain,( 39.42/5.44 spl43_140 <=> inv_src1(sK27,sK6,sK9)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_140])])). 39.42/5.44 tff(f2070,plain,( 39.42/5.44 ~inv_src1(sK27,sK6,sK9) | ~spl43_19), 39.42/5.44 inference(resolution,[],[f1968,f280])). 39.42/5.44 tff(f2061,plain,( 39.42/5.44 ~spl43_139 | ~spl43_10), 39.42/5.44 inference(avatar_split_clause,[],[f2035,f627,f2058])). 39.42/5.44 tff(f2058,plain,( 39.42/5.44 spl43_139 <=> inv_src1(sK12,sK6,sK9)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_139])])). 39.42/5.44 tff(f2035,plain,( 39.42/5.44 ~inv_src1(sK12,sK6,sK9) | ~spl43_10), 39.42/5.44 inference(resolution,[],[f1967,f280])). 39.42/5.44 tff(f2056,plain,( 39.42/5.44 ~spl43_138 | ~spl43_10 | spl43_104), 39.42/5.44 inference(avatar_split_clause,[],[f2032,f1443,f627,f2053])). 39.42/5.44 tff(f2053,plain,( 39.42/5.44 spl43_138 <=> inv_src1(sK12,sK13,sK9)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_138])])). 39.42/5.44 tff(f2032,plain,( 39.42/5.44 ~inv_src1(sK12,sK13,sK9) | (~spl43_10 | spl43_104)), 39.42/5.44 inference(resolution,[],[f1967,f1445])). 39.42/5.44 tff(f2013,plain,( 39.42/5.44 ~spl43_136 | ~spl43_137 | ~spl43_9), 39.42/5.44 inference(avatar_split_clause,[],[f1988,f622,f2010,f2006])). 39.42/5.44 tff(f2006,plain,( 39.42/5.44 spl43_136 <=> inv_src1(sK26,sK15,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_136])])). 39.42/5.44 tff(f1988,plain,( 39.42/5.44 ~inv_src1(sK26,sK13,sK9) | ~inv_src1(sK26,sK15,sK6) | ~spl43_9), 39.42/5.44 inference(resolution,[],[f1966,f862])). 39.42/5.44 tff(f2004,plain,( 39.42/5.44 ~spl43_135 | ~spl43_9), 39.42/5.44 inference(avatar_split_clause,[],[f1984,f622,f2001])). 39.42/5.44 tff(f2001,plain,( 39.42/5.44 spl43_135 <=> inv_src1(sK26,sK6,sK9)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_135])])). 39.42/5.44 tff(f1984,plain,( 39.42/5.44 ~inv_src1(sK26,sK6,sK9) | ~spl43_9), 39.42/5.44 inference(resolution,[],[f1966,f280])). 39.42/5.44 tff(f1834,plain,( 39.42/5.44 spl43_133 | spl43_134), 39.42/5.44 inference(avatar_split_clause,[],[f511,f1832,f1829])). 39.42/5.44 tff(f1829,plain,( 39.42/5.44 spl43_133 <=> ! [X6 : $int,X4 : $int,X5 : $int] : (tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK19))) != X4 | $less(X4,$sum(X5,X6)) | weight1(sK12,sK19) != X6 | tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK12))) != X5)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_133])])). 39.42/5.44 tff(f1832,plain,( 39.42/5.44 spl43_134 <=> ! [X2 : $int,X1 : $int,X3 : $int] : (tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK12))) != X1 | $sum(X1,X2) = X3 | tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK19))) != X3 | weight1(sK12,sK19) != X2)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_134])])). 39.42/5.44 tff(f511,plain,( 39.42/5.44 ( ! [X2 : $int,X3 : $int,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : (tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK12))) != X1 | weight1(sK12,sK19) != X2 | tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK19))) != X3 | $sum(X1,X2) = X3 | tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK19))) != X4 | tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK12))) != X5 | weight1(sK12,sK19) != X6 | $less(X4,$sum(X5,X6))) )), 39.42/5.44 inference(theory_flattening,[],[f370])). 39.42/5.44 tff(f370,plain,( 39.42/5.44 $sum(tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK12))),weight1(sK12,sK19)) = tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK19))) | $less(tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK19))),$sum(tb2t3(get(int,vertex,t2tb1(sK21),t2tb2(sK12))),weight1(sK12,sK19)))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f1694,plain,( 39.42/5.44 spl43_23 | spl43_132 | ~spl43_12), 39.42/5.44 inference(avatar_split_clause,[],[f909,f637,f1691,f711])). 39.42/5.44 tff(f711,plain,( 39.42/5.44 spl43_23 <=> is_empty(vertex,t2tb(sK13))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_23])])). 39.42/5.44 tff(f1691,plain,( 39.42/5.44 spl43_132 <=> mem(vertex,sK31(vertex,t2tb(sK13)),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_132])])). 39.42/5.44 tff(f909,plain,( 39.42/5.44 mem(vertex,sK31(vertex,t2tb(sK13)),t2tb(v1)) | is_empty(vertex,t2tb(sK13)) | ~spl43_12), 39.42/5.44 inference(resolution,[],[f701,f407])). 39.42/5.44 tff(f1688,plain,( 39.42/5.44 spl43_23 | spl43_131 | ~spl43_12), 39.42/5.44 inference(avatar_split_clause,[],[f904,f637,f1685,f711])). 39.42/5.44 tff(f1685,plain,( 39.42/5.44 spl43_131 <=> mem(vertex,choose(vertex,t2tb(sK13)),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_131])])). 39.42/5.44 tff(f904,plain,( 39.42/5.44 mem(vertex,choose(vertex,t2tb(sK13)),t2tb(v1)) | is_empty(vertex,t2tb(sK13)) | ~spl43_12), 39.42/5.44 inference(resolution,[],[f701,f409])). 39.42/5.44 tff(f1682,plain,( 39.42/5.44 spl43_128 | spl43_130 | ~spl43_11), 39.42/5.44 inference(avatar_split_clause,[],[f891,f632,f1679,f1669])). 39.42/5.44 tff(f1679,plain,( 39.42/5.44 spl43_130 <=> mem(vertex,sK31(vertex,t2tb(sK15)),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_130])])). 39.42/5.44 tff(f891,plain,( 39.42/5.44 mem(vertex,sK31(vertex,t2tb(sK15)),t2tb(v1)) | is_empty(vertex,t2tb(sK15)) | ~spl43_11), 39.42/5.44 inference(resolution,[],[f699,f407])). 39.42/5.44 tff(f1676,plain,( 39.42/5.44 spl43_128 | spl43_129 | ~spl43_11), 39.42/5.44 inference(avatar_split_clause,[],[f887,f632,f1673,f1669])). 39.42/5.44 tff(f1673,plain,( 39.42/5.44 spl43_129 <=> mem(vertex,choose(vertex,t2tb(sK15)),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_129])])). 39.42/5.44 tff(f887,plain,( 39.42/5.44 mem(vertex,choose(vertex,t2tb(sK15)),t2tb(v1)) | is_empty(vertex,t2tb(sK15)) | ~spl43_11), 39.42/5.44 inference(resolution,[],[f699,f409])). 39.42/5.44 tff(f1666,plain,( 39.42/5.44 spl43_125 | spl43_127 | ~spl43_8), 39.42/5.44 inference(avatar_split_clause,[],[f876,f617,f1663,f1653])). 39.42/5.44 tff(f1663,plain,( 39.42/5.44 spl43_127 <=> mem(vertex,sK31(vertex,t2tb(sK9)),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_127])])). 39.42/5.44 tff(f876,plain,( 39.42/5.44 mem(vertex,sK31(vertex,t2tb(sK9)),t2tb(v1)) | is_empty(vertex,t2tb(sK9)) | ~spl43_8), 39.42/5.44 inference(resolution,[],[f690,f407])). 39.42/5.44 tff(f1660,plain,( 39.42/5.44 spl43_125 | spl43_126 | ~spl43_8), 39.42/5.44 inference(avatar_split_clause,[],[f872,f617,f1657,f1653])). 39.42/5.44 tff(f1657,plain,( 39.42/5.44 spl43_126 <=> mem(vertex,choose(vertex,t2tb(sK9)),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_126])])). 39.42/5.44 tff(f872,plain,( 39.42/5.44 mem(vertex,choose(vertex,t2tb(sK9)),t2tb(v1)) | is_empty(vertex,t2tb(sK9)) | ~spl43_8), 39.42/5.44 inference(resolution,[],[f690,f409])). 39.42/5.44 tff(f1646,plain,( 39.42/5.44 spl43_21 | spl43_124 | ~spl43_7), 39.42/5.44 inference(avatar_split_clause,[],[f836,f612,f1643,f693])). 39.42/5.44 tff(f693,plain,( 39.42/5.44 spl43_21 <=> is_empty(vertex,t2tb(sK7))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_21])])). 39.42/5.44 tff(f1643,plain,( 39.42/5.44 spl43_124 <=> mem(vertex,sK31(vertex,t2tb(sK7)),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_124])])). 39.42/5.44 tff(f836,plain,( 39.42/5.44 mem(vertex,sK31(vertex,t2tb(sK7)),t2tb(v1)) | is_empty(vertex,t2tb(sK7)) | ~spl43_7), 39.42/5.44 inference(resolution,[],[f688,f407])). 39.42/5.44 tff(f1640,plain,( 39.42/5.44 spl43_21 | spl43_123 | ~spl43_7), 39.42/5.44 inference(avatar_split_clause,[],[f829,f612,f1637,f693])). 39.42/5.44 tff(f1637,plain,( 39.42/5.44 spl43_123 <=> mem(vertex,choose(vertex,t2tb(sK7)),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_123])])). 39.42/5.44 tff(f829,plain,( 39.42/5.44 mem(vertex,choose(vertex,t2tb(sK7)),t2tb(v1)) | is_empty(vertex,t2tb(sK7)) | ~spl43_7), 39.42/5.44 inference(resolution,[],[f688,f409])). 39.42/5.44 tff(f1590,plain,( 39.42/5.44 spl43_122 | ~spl43_36), 39.42/5.44 inference(avatar_split_clause,[],[f879,f823,f1587])). 39.42/5.44 tff(f823,plain,( 39.42/5.44 spl43_36 <=> tb2t1(set1(int,vertex,t2tb1(sK3),t2tb2(sK1),t2tb3(0))) = sK5), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_36])])). 39.42/5.44 tff(f879,plain,( 39.42/5.44 set1(int,vertex,t2tb1(sK3),t2tb2(sK1),t2tb3(0)) = t2tb1(sK5) | ~spl43_36), 39.42/5.44 inference(superposition,[],[f389,f825])). 39.42/5.44 tff(f825,plain,( 39.42/5.44 tb2t1(set1(int,vertex,t2tb1(sK3),t2tb2(sK1),t2tb3(0))) = sK5 | ~spl43_36), 39.42/5.44 inference(avatar_component_clause,[],[f823])). 39.42/5.44 tff(f389,plain,( 39.42/5.44 ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )), 39.42/5.44 inference(cnf_transformation,[],[f104])). 39.42/5.44 tff(f104,plain,( 39.42/5.44 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 39.42/5.44 inference(rectify,[],[f72])). 39.42/5.44 tff(f72,axiom,( 39.42/5.44 ! [X5 : uni] : t2tb1(tb2t1(X5)) = X5), 39.42/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 39.42/5.44 tff(f1584,plain,( 39.42/5.44 ~spl43_120 | spl43_121), 39.42/5.44 inference(avatar_split_clause,[],[f895,f1582,f1578])). 39.42/5.44 tff(f1582,plain,( 39.42/5.44 spl43_121 <=> ! [X3 : vertex1] : ~mem(vertex,t2tb2(X3),t2tb(sK14))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_121])])). 39.42/5.44 tff(f895,plain,( 39.42/5.44 ( ! [X3 : vertex1] : (~mem(vertex,t2tb2(X3),t2tb(sK14)) | ~is_empty(vertex,t2tb(g_succ1(sK12)))) )), 39.42/5.44 inference(resolution,[],[f304,f408])). 39.42/5.44 tff(f1576,plain,( 39.42/5.44 spl43_87 | ~spl43_119 | ~spl43_8 | spl43_84), 39.42/5.44 inference(avatar_split_clause,[],[f1416,f1244,f617,f1573,f1263])). 39.42/5.44 tff(f1573,plain,( 39.42/5.44 spl43_119 <=> inv_src1(sK19,sK9,sK7)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_119])])). 39.42/5.44 tff(f1416,plain,( 39.42/5.44 ~inv_src1(sK19,sK9,sK7) | mem(vertex,t2tb2(sK19),t2tb(v1)) | (~spl43_8 | spl43_84)), 39.42/5.44 inference(resolution,[],[f1255,f690])). 39.42/5.44 tff(f1571,plain,( 39.42/5.44 spl43_80 | ~spl43_118 | ~spl43_11 | spl43_77), 39.42/5.44 inference(avatar_split_clause,[],[f1362,f1205,f632,f1568,f1224])). 39.42/5.44 tff(f1568,plain,( 39.42/5.44 spl43_118 <=> inv_src1(sK23,sK15,sK7)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_118])])). 39.42/5.44 tff(f1362,plain,( 39.42/5.44 ~inv_src1(sK23,sK15,sK7) | mem(vertex,t2tb2(sK23),t2tb(v1)) | (~spl43_11 | spl43_77)), 39.42/5.44 inference(resolution,[],[f1216,f699])). 39.42/5.44 tff(f1562,plain,( 39.42/5.44 spl43_80 | ~spl43_117 | ~spl43_8 | spl43_77), 39.42/5.44 inference(avatar_split_clause,[],[f1360,f1205,f617,f1559,f1224])). 39.42/5.44 tff(f1559,plain,( 39.42/5.44 spl43_117 <=> inv_src1(sK23,sK9,sK7)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_117])])). 39.42/5.44 tff(f1360,plain,( 39.42/5.44 ~inv_src1(sK23,sK9,sK7) | mem(vertex,t2tb2(sK23),t2tb(v1)) | (~spl43_8 | spl43_77)), 39.42/5.44 inference(resolution,[],[f1216,f690])). 39.42/5.44 tff(f1557,plain,( 39.42/5.44 ~spl43_116 | spl43_93), 39.42/5.44 inference(avatar_split_clause,[],[f1531,f1313,f1554])). 39.42/5.44 tff(f1554,plain,( 39.42/5.44 spl43_116 <=> inv_src1(sK1,sK6,sK9)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_116])])). 39.42/5.44 tff(f1531,plain,( 39.42/5.44 ~inv_src1(sK1,sK6,sK9) | spl43_93), 39.42/5.44 inference(resolution,[],[f1318,f280])). 39.42/5.44 tff(f1552,plain,( 39.42/5.44 ~spl43_115 | spl43_93), 39.42/5.44 inference(avatar_split_clause,[],[f1528,f1313,f1549])). 39.42/5.44 tff(f1549,plain,( 39.42/5.44 spl43_115 <=> inv_src1(sK1,sK9,sK9)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_115])])). 39.42/5.44 tff(f1528,plain,( 39.42/5.44 ~inv_src1(sK1,sK9,sK9) | spl43_93), 39.42/5.44 inference(resolution,[],[f1318,f1315])). 39.42/5.44 tff(f1547,plain,( 39.42/5.44 ~spl43_114 | spl43_89 | spl43_93), 39.42/5.44 inference(avatar_split_clause,[],[f1527,f1313,f1291,f1544])). 39.42/5.44 tff(f1544,plain,( 39.42/5.44 spl43_114 <=> inv_src1(sK1,sK13,sK9)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_114])])). 39.42/5.44 tff(f1527,plain,( 39.42/5.44 ~inv_src1(sK1,sK13,sK9) | (spl43_89 | spl43_93)), 39.42/5.44 inference(resolution,[],[f1318,f1293])). 39.42/5.44 tff(f1526,plain,( 39.42/5.44 ~spl43_113 | spl43_89), 39.42/5.44 inference(avatar_split_clause,[],[f1500,f1291,f1523])). 39.42/5.44 tff(f1523,plain,( 39.42/5.44 spl43_113 <=> inv_src1(sK1,sK6,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_113])])). 39.42/5.44 tff(f1500,plain,( 39.42/5.44 ~inv_src1(sK1,sK6,sK13) | spl43_89), 39.42/5.44 inference(resolution,[],[f1300,f280])). 39.42/5.44 tff(f1521,plain,( 39.42/5.44 ~spl43_112 | spl43_89 | spl43_93), 39.42/5.44 inference(avatar_split_clause,[],[f1497,f1313,f1291,f1518])). 39.42/5.44 tff(f1518,plain,( 39.42/5.44 spl43_112 <=> inv_src1(sK1,sK9,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_112])])). 39.42/5.44 tff(f1497,plain,( 39.42/5.44 ~inv_src1(sK1,sK9,sK13) | (spl43_89 | spl43_93)), 39.42/5.44 inference(resolution,[],[f1300,f1315])). 39.42/5.44 tff(f1516,plain,( 39.42/5.44 ~spl43_111 | spl43_89), 39.42/5.44 inference(avatar_split_clause,[],[f1496,f1291,f1513])). 39.42/5.44 tff(f1513,plain,( 39.42/5.44 spl43_111 <=> inv_src1(sK1,sK13,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_111])])). 39.42/5.44 tff(f1496,plain,( 39.42/5.44 ~inv_src1(sK1,sK13,sK13) | spl43_89), 39.42/5.44 inference(resolution,[],[f1300,f1293])). 39.42/5.44 tff(f1495,plain,( 39.42/5.44 ~spl43_10 | ~spl43_110 | spl43_104), 39.42/5.44 inference(avatar_split_clause,[],[f1470,f1443,f1492,f627])). 39.42/5.44 tff(f1492,plain,( 39.42/5.44 spl43_110 <=> inv_src1(sK12,sK9,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_110])])). 39.42/5.44 tff(f1470,plain,( 39.42/5.44 ~inv_src1(sK12,sK9,sK13) | ~mem(vertex,t2tb2(sK12),t2tb(sK7)) | spl43_104), 39.42/5.44 inference(resolution,[],[f1451,f289])). 39.42/5.44 tff(f1489,plain,( 39.42/5.44 ~spl43_109 | spl43_104), 39.42/5.44 inference(avatar_split_clause,[],[f1468,f1443,f1486])). 39.42/5.44 tff(f1486,plain,( 39.42/5.44 spl43_109 <=> inv_src1(sK12,sK6,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_109])])). 39.42/5.44 tff(f1468,plain,( 39.42/5.44 ~inv_src1(sK12,sK6,sK13) | spl43_104), 39.42/5.44 inference(resolution,[],[f1451,f280])). 39.42/5.44 tff(f1484,plain,( 39.42/5.44 ~spl43_108 | spl43_104), 39.42/5.44 inference(avatar_split_clause,[],[f1465,f1443,f1481])). 39.42/5.44 tff(f1481,plain,( 39.42/5.44 spl43_108 <=> inv_src1(sK12,sK13,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_108])])). 39.42/5.44 tff(f1465,plain,( 39.42/5.44 ~inv_src1(sK12,sK13,sK13) | spl43_104), 39.42/5.44 inference(resolution,[],[f1451,f1445])). 39.42/5.44 tff(f1464,plain,( 39.42/5.44 spl43_44 | spl43_107 | spl43_74), 39.42/5.44 inference(avatar_split_clause,[],[f565,f1172,f1462,f948])). 39.42/5.44 tff(f1462,plain,( 39.42/5.44 spl43_107 <=> ! [X2 : $int,X1 : $int,X3 : $int] : (tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))) != X2 | sK21 = tb2t1(set1(int,vertex,t2tb1(sK16),t2tb2(sK19),t2tb3(X1))) | $sum(X2,X3) != X1 | weight1(sK12,sK19) != X3)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_107])])). 39.42/5.44 tff(f565,plain,( 39.42/5.44 ( ! [X2 : $int,X3 : $int,X1 : $int] : (sK15 = sK20 | tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))) != X2 | weight1(sK12,sK19) != X3 | $sum(X2,X3) != X1 | sK21 = tb2t1(set1(int,vertex,t2tb1(sK16),t2tb2(sK19),t2tb3(X1))) | sP0(sK20,sK19,sK15,sK21,sK12,sK16)) )), 39.42/5.44 inference(duplicate_literal_removal,[],[f521])). 39.42/5.44 tff(f521,plain,( 39.42/5.44 ( ! [X2 : $int,X3 : $int,X1 : $int] : (sK15 = sK20 | sK15 = sK20 | tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))) != X2 | weight1(sK12,sK19) != X3 | $sum(X2,X3) != X1 | sK21 = tb2t1(set1(int,vertex,t2tb1(sK16),t2tb2(sK19),t2tb3(X1))) | sP0(sK20,sK19,sK15,sK21,sK12,sK16)) )), 39.42/5.44 inference(theory_flattening,[],[f343])). 39.42/5.44 tff(f343,plain,( 39.42/5.44 sK15 = sK20 | sK15 = sK20 | tb2t1(set1(int,vertex,t2tb1(sK16),t2tb2(sK19),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK12))),weight1(sK12,sK19))))) = sK21 | sP0(sK20,sK19,sK15,sK21,sK12,sK16)), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f1460,plain,( 39.42/5.44 ~spl43_106 | spl43_104), 39.42/5.44 inference(avatar_split_clause,[],[f1450,f1443,f1457])). 39.42/5.44 tff(f1457,plain,( 39.42/5.44 spl43_106 <=> inv_src1(sK12,sK13,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_106])])). 39.42/5.44 tff(f1450,plain,( 39.42/5.44 ~inv_src1(sK12,sK13,sK6) | spl43_104), 39.42/5.44 inference(resolution,[],[f1445,f609])). 39.42/5.44 tff(f1449,plain,( 39.42/5.44 ~spl43_104 | spl43_105), 39.42/5.44 inference(avatar_split_clause,[],[f505,f1447,f1443])). 39.42/5.44 tff(f505,plain,( 39.42/5.44 ( ! [X28 : vertex1] : (mem(vertex,t2tb2(X28),t2tb(sK13)) | mem(vertex,t2tb2(X28),t2tb(sK15)) | mem(vertex,t2tb2(X28),t2tb(sK14)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(sK12))) | ~mem(vertex,t2tb2(sK12),t2tb(sK13))) )), 39.42/5.44 inference(equality_resolution,[],[f310])). 39.42/5.44 tff(f310,plain,( 39.42/5.44 ( ! [X28 : vertex1,X27 : vertex1] : (mem(vertex,t2tb2(X28),t2tb(sK13)) | mem(vertex,t2tb2(X28),t2tb(sK15)) | mem(vertex,t2tb2(X28),t2tb(sK14)) | sK12 != X27 | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27))) | ~mem(vertex,t2tb2(X27),t2tb(sK13))) )), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f1441,plain,( 39.42/5.44 ~spl43_103 | spl43_84), 39.42/5.44 inference(avatar_split_clause,[],[f1409,f1244,f1438])). 39.42/5.44 tff(f1438,plain,( 39.42/5.44 spl43_103 <=> inv_src1(sK19,sK6,sK7)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_103])])). 39.42/5.44 tff(f1409,plain,( 39.42/5.44 ~inv_src1(sK19,sK6,sK7) | spl43_84), 39.42/5.44 inference(resolution,[],[f1255,f280])). 39.42/5.44 tff(f1436,plain,( 39.42/5.44 ~spl43_102 | spl43_84), 39.42/5.44 inference(avatar_split_clause,[],[f1406,f1244,f1433])). 39.42/5.44 tff(f1433,plain,( 39.42/5.44 spl43_102 <=> inv_src1(sK19,sK7,sK7)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_102])])). 39.42/5.44 tff(f1406,plain,( 39.42/5.44 ~inv_src1(sK19,sK7,sK7) | spl43_84), 39.42/5.44 inference(resolution,[],[f1255,f1246])). 39.42/5.44 tff(f1431,plain,( 39.42/5.44 ~spl43_101 | spl43_48 | spl43_84), 39.42/5.44 inference(avatar_split_clause,[],[f1405,f1244,f968,f1428])). 39.42/5.44 tff(f1428,plain,( 39.42/5.44 spl43_101 <=> inv_src1(sK19,sK15,sK7)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_101])])). 39.42/5.44 tff(f1405,plain,( 39.42/5.44 ~inv_src1(sK19,sK15,sK7) | (spl43_48 | spl43_84)), 39.42/5.44 inference(resolution,[],[f1255,f970])). 39.42/5.44 tff(f1425,plain,( 39.42/5.44 ~spl43_100 | spl43_45 | spl43_84), 39.42/5.44 inference(avatar_split_clause,[],[f1404,f1244,f952,f1422])). 39.42/5.44 tff(f1422,plain,( 39.42/5.44 spl43_100 <=> inv_src1(sK19,sK13,sK7)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_100])])). 39.42/5.44 tff(f1404,plain,( 39.42/5.44 ~inv_src1(sK19,sK13,sK7) | (spl43_45 | spl43_84)), 39.42/5.44 inference(resolution,[],[f1255,f954])). 39.42/5.44 tff(f1384,plain,( 39.42/5.44 ~spl43_99 | spl43_77), 39.42/5.44 inference(avatar_split_clause,[],[f1353,f1205,f1381])). 39.42/5.44 tff(f1381,plain,( 39.42/5.44 spl43_99 <=> inv_src1(sK23,sK6,sK7)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_99])])). 39.42/5.44 tff(f1353,plain,( 39.42/5.44 ~inv_src1(sK23,sK6,sK7) | spl43_77), 39.42/5.44 inference(resolution,[],[f1216,f280])). 39.42/5.44 tff(f1379,plain,( 39.42/5.44 ~spl43_98 | spl43_77), 39.42/5.44 inference(avatar_split_clause,[],[f1351,f1205,f1376])). 39.42/5.44 tff(f1376,plain,( 39.42/5.44 spl43_98 <=> inv_src1(sK23,sK7,sK7)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_98])])). 39.42/5.44 tff(f1351,plain,( 39.42/5.44 ~inv_src1(sK23,sK7,sK7) | spl43_77), 39.42/5.44 inference(resolution,[],[f1216,f1207])). 39.42/5.44 tff(f1374,plain,( 39.42/5.44 ~spl43_97 | spl43_17 | spl43_77), 39.42/5.44 inference(avatar_split_clause,[],[f1350,f1205,f662,f1371])). 39.42/5.44 tff(f1371,plain,( 39.42/5.44 spl43_97 <=> inv_src1(sK23,sK13,sK7)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_97])])). 39.42/5.44 tff(f1350,plain,( 39.42/5.44 ~inv_src1(sK23,sK13,sK7) | (spl43_17 | spl43_77)), 39.42/5.44 inference(resolution,[],[f1216,f664])). 39.42/5.44 tff(f1369,plain,( 39.42/5.44 ~spl43_96 | spl43_16 | spl43_77), 39.42/5.44 inference(avatar_split_clause,[],[f1349,f1205,f657,f1366])). 39.42/5.44 tff(f1366,plain,( 39.42/5.44 spl43_96 <=> inv_src1(sK23,sK20,sK7)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_96])])). 39.42/5.44 tff(f1349,plain,( 39.42/5.44 ~inv_src1(sK23,sK20,sK7) | (spl43_16 | spl43_77)), 39.42/5.44 inference(resolution,[],[f1216,f659])). 39.42/5.44 tff(f1329,plain,( 39.42/5.44 spl43_95 | ~spl43_55), 39.42/5.44 inference(avatar_split_clause,[],[f1095,f1017,f1326])). 39.42/5.44 tff(f1326,plain,( 39.42/5.44 spl43_95 <=> t2tb3(0) = get(int,vertex,t2tb1(sK8),t2tb2(sK1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_95])])). 39.42/5.44 tff(f1017,plain,( 39.42/5.44 spl43_55 <=> 0 = tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK1)))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_55])])). 39.42/5.44 tff(f1095,plain,( 39.42/5.44 t2tb3(0) = get(int,vertex,t2tb1(sK8),t2tb2(sK1)) | ~spl43_55), 39.42/5.44 inference(superposition,[],[f386,f1019])). 39.42/5.44 tff(f1019,plain,( 39.42/5.44 0 = tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK1))) | ~spl43_55), 39.42/5.44 inference(avatar_component_clause,[],[f1017])). 39.42/5.44 tff(f386,plain,( 39.42/5.44 ( ! [X0 : uni] : (t2tb3(tb2t3(X0)) = X0) )), 39.42/5.44 inference(cnf_transformation,[],[f101])). 39.42/5.44 tff(f101,plain,( 39.42/5.44 ! [X0 : uni] : t2tb3(tb2t3(X0)) = X0), 39.42/5.44 inference(rectify,[],[f68])). 39.42/5.44 tff(f68,axiom,( 39.42/5.44 ! [X5 : uni] : t2tb3(tb2t3(X5)) = X5), 39.42/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR3)). 39.42/5.44 tff(f1323,plain,( 39.42/5.44 ~spl43_94 | spl43_93), 39.42/5.44 inference(avatar_split_clause,[],[f1317,f1313,f1320])). 39.42/5.44 tff(f1320,plain,( 39.42/5.44 spl43_94 <=> inv_src1(sK1,sK9,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_94])])). 39.42/5.44 tff(f1317,plain,( 39.42/5.44 ~inv_src1(sK1,sK9,sK6) | spl43_93), 39.42/5.44 inference(resolution,[],[f1315,f609])). 39.42/5.44 tff(f1316,plain,( 39.42/5.44 ~spl43_93 | spl43_90 | ~spl43_55), 39.42/5.44 inference(avatar_split_clause,[],[f1092,f1017,f1295,f1313])). 39.42/5.44 tff(f1295,plain,( 39.42/5.44 spl43_90 <=> shortest_path1(sK1,sK1,0)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_90])])). 39.42/5.44 tff(f1092,plain,( 39.42/5.44 shortest_path1(sK1,sK1,0) | ~mem(vertex,t2tb2(sK1),t2tb(sK9)) | ~spl43_55), 39.42/5.44 inference(superposition,[],[f283,f1019])). 39.42/5.44 tff(f1311,plain,( 39.42/5.44 spl43_92 | ~spl43_54), 39.42/5.44 inference(avatar_split_clause,[],[f1090,f1012,f1308])). 39.42/5.44 tff(f1308,plain,( 39.42/5.44 spl43_92 <=> t2tb3(0) = get(int,vertex,t2tb1(sK16),t2tb2(sK1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_92])])). 39.42/5.44 tff(f1012,plain,( 39.42/5.44 spl43_54 <=> 0 = tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK1)))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_54])])). 39.42/5.44 tff(f1090,plain,( 39.42/5.44 t2tb3(0) = get(int,vertex,t2tb1(sK16),t2tb2(sK1)) | ~spl43_54), 39.42/5.44 inference(superposition,[],[f386,f1014])). 39.42/5.44 tff(f1014,plain,( 39.42/5.44 0 = tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK1))) | ~spl43_54), 39.42/5.44 inference(avatar_component_clause,[],[f1012])). 39.42/5.44 tff(f1305,plain,( 39.42/5.44 ~spl43_91 | spl43_89), 39.42/5.44 inference(avatar_split_clause,[],[f1299,f1291,f1302])). 39.42/5.44 tff(f1302,plain,( 39.42/5.44 spl43_91 <=> inv_src1(sK1,sK13,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_91])])). 39.42/5.44 tff(f1299,plain,( 39.42/5.44 ~inv_src1(sK1,sK13,sK6) | spl43_89), 39.42/5.44 inference(resolution,[],[f1293,f609])). 39.42/5.44 tff(f1298,plain,( 39.42/5.44 ~spl43_89 | spl43_90 | ~spl43_54), 39.42/5.44 inference(avatar_split_clause,[],[f1087,f1012,f1295,f1291])). 39.42/5.44 tff(f1087,plain,( 39.42/5.44 shortest_path1(sK1,sK1,0) | ~mem(vertex,t2tb2(sK1),t2tb(sK13)) | ~spl43_54), 39.42/5.44 inference(superposition,[],[f309,f1014])). 39.42/5.44 tff(f309,plain,( 39.42/5.44 ( ! [X29 : vertex1] : (shortest_path1(sK1,X29,tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(sK13))) )), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f1289,plain,( 39.42/5.44 spl43_87 | ~spl43_88 | ~spl43_8 | spl43_48), 39.42/5.44 inference(avatar_split_clause,[],[f1060,f968,f617,f1286,f1263])). 39.42/5.44 tff(f1286,plain,( 39.42/5.44 spl43_88 <=> inv_src1(sK19,sK9,sK15)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_88])])). 39.42/5.44 tff(f1060,plain,( 39.42/5.44 ~inv_src1(sK19,sK9,sK15) | mem(vertex,t2tb2(sK19),t2tb(v1)) | (~spl43_8 | spl43_48)), 39.42/5.44 inference(resolution,[],[f973,f690])). 39.42/5.44 tff(f1266,plain,( 39.42/5.44 spl43_87 | ~spl43_85 | ~spl43_8 | spl43_45), 39.42/5.44 inference(avatar_split_clause,[],[f1028,f952,f617,f1248,f1263])). 39.42/5.44 tff(f1248,plain,( 39.42/5.44 spl43_85 <=> inv_src1(sK19,sK9,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_85])])). 39.42/5.44 tff(f1028,plain,( 39.42/5.44 ~inv_src1(sK19,sK9,sK13) | mem(vertex,t2tb2(sK19),t2tb(v1)) | (~spl43_8 | spl43_45)), 39.42/5.44 inference(resolution,[],[f961,f690])). 39.42/5.44 tff(f1261,plain,( 39.42/5.44 ~spl43_86 | spl43_84), 39.42/5.44 inference(avatar_split_clause,[],[f1254,f1244,f1258])). 39.42/5.44 tff(f1258,plain,( 39.42/5.44 spl43_86 <=> inv_src1(sK19,sK7,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_86])])). 39.42/5.44 tff(f1254,plain,( 39.42/5.44 ~inv_src1(sK19,sK7,sK6) | spl43_84), 39.42/5.44 inference(resolution,[],[f1246,f609])). 39.42/5.44 tff(f1256,plain,( 39.42/5.44 ~spl43_73 | spl43_45 | spl43_84), 39.42/5.44 inference(avatar_split_clause,[],[f1253,f1244,f952,f1167])). 39.42/5.44 tff(f1167,plain,( 39.42/5.44 spl43_73 <=> inv_src1(sK19,sK7,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_73])])). 39.42/5.44 tff(f1253,plain,( 39.42/5.44 ~inv_src1(sK19,sK7,sK13) | (spl43_45 | spl43_84)), 39.42/5.44 inference(resolution,[],[f1246,f961])). 39.42/5.44 tff(f1251,plain,( 39.42/5.44 ~spl43_84 | ~spl43_85 | spl43_45), 39.42/5.44 inference(avatar_split_clause,[],[f1024,f952,f1248,f1244])). 39.42/5.44 tff(f1024,plain,( 39.42/5.44 ~inv_src1(sK19,sK9,sK13) | ~mem(vertex,t2tb2(sK19),t2tb(sK7)) | spl43_45), 39.42/5.44 inference(resolution,[],[f961,f289])). 39.42/5.44 tff(f1242,plain,( 39.42/5.44 spl43_80 | ~spl43_83 | ~spl43_11 | spl43_17), 39.42/5.44 inference(avatar_split_clause,[],[f988,f662,f632,f1239,f1224])). 39.42/5.44 tff(f1239,plain,( 39.42/5.44 spl43_83 <=> inv_src1(sK23,sK15,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_83])])). 39.42/5.44 tff(f988,plain,( 39.42/5.44 ~inv_src1(sK23,sK15,sK13) | mem(vertex,t2tb2(sK23),t2tb(v1)) | (~spl43_11 | spl43_17)), 39.42/5.44 inference(resolution,[],[f716,f699])). 39.42/5.44 tff(f1237,plain,( 39.42/5.44 spl43_80 | ~spl43_82 | ~spl43_8 | spl43_17), 39.42/5.44 inference(avatar_split_clause,[],[f986,f662,f617,f1234,f1224])). 39.42/5.44 tff(f1234,plain,( 39.42/5.44 spl43_82 <=> inv_src1(sK23,sK9,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_82])])). 39.42/5.44 tff(f986,plain,( 39.42/5.44 ~inv_src1(sK23,sK9,sK13) | mem(vertex,t2tb2(sK23),t2tb(v1)) | (~spl43_8 | spl43_17)), 39.42/5.44 inference(resolution,[],[f716,f690])). 39.42/5.44 tff(f1232,plain,( 39.42/5.44 spl43_80 | ~spl43_81 | ~spl43_11 | spl43_16), 39.42/5.44 inference(avatar_split_clause,[],[f928,f657,f632,f1229,f1224])). 39.42/5.44 tff(f1229,plain,( 39.42/5.44 spl43_81 <=> inv_src1(sK23,sK15,sK20)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_81])])). 39.42/5.44 tff(f928,plain,( 39.42/5.44 ~inv_src1(sK23,sK15,sK20) | mem(vertex,t2tb2(sK23),t2tb(v1)) | (~spl43_11 | spl43_16)), 39.42/5.44 inference(resolution,[],[f715,f699])). 39.42/5.44 tff(f1227,plain,( 39.42/5.44 spl43_80 | ~spl43_78 | ~spl43_8 | spl43_16), 39.42/5.44 inference(avatar_split_clause,[],[f926,f657,f617,f1209,f1224])). 39.42/5.44 tff(f1209,plain,( 39.42/5.44 spl43_78 <=> inv_src1(sK23,sK9,sK20)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_78])])). 39.42/5.44 tff(f926,plain,( 39.42/5.44 ~inv_src1(sK23,sK9,sK20) | mem(vertex,t2tb2(sK23),t2tb(v1)) | (~spl43_8 | spl43_16)), 39.42/5.44 inference(resolution,[],[f715,f690])). 39.42/5.44 tff(f1222,plain,( 39.42/5.44 ~spl43_79 | spl43_77), 39.42/5.44 inference(avatar_split_clause,[],[f1215,f1205,f1219])). 39.42/5.44 tff(f1219,plain,( 39.42/5.44 spl43_79 <=> inv_src1(sK23,sK7,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_79])])). 39.42/5.44 tff(f1215,plain,( 39.42/5.44 ~inv_src1(sK23,sK7,sK6) | spl43_77), 39.42/5.44 inference(resolution,[],[f1207,f609])). 39.42/5.44 tff(f1217,plain,( 39.42/5.44 ~spl43_70 | spl43_16 | spl43_77), 39.42/5.44 inference(avatar_split_clause,[],[f1214,f1205,f657,f1152])). 39.42/5.44 tff(f1152,plain,( 39.42/5.44 spl43_70 <=> inv_src1(sK23,sK7,sK20)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_70])])). 39.42/5.44 tff(f1214,plain,( 39.42/5.44 ~inv_src1(sK23,sK7,sK20) | (spl43_16 | spl43_77)), 39.42/5.44 inference(resolution,[],[f1207,f715])). 39.42/5.44 tff(f1212,plain,( 39.42/5.44 ~spl43_77 | ~spl43_78 | spl43_16), 39.42/5.44 inference(avatar_split_clause,[],[f922,f657,f1209,f1205])). 39.42/5.44 tff(f922,plain,( 39.42/5.44 ~inv_src1(sK23,sK9,sK20) | ~mem(vertex,t2tb2(sK23),t2tb(sK7)) | spl43_16), 39.42/5.44 inference(resolution,[],[f715,f289])). 39.42/5.44 tff(f1194,plain,( 39.42/5.44 ~spl43_76 | ~spl43_15), 39.42/5.44 inference(avatar_split_clause,[],[f1181,f652,f1191])). 39.42/5.44 tff(f1191,plain,( 39.42/5.44 spl43_76 <=> inv_src1(sK22,sK15,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_76])])). 39.42/5.44 tff(f1181,plain,( 39.42/5.44 ~inv_src1(sK22,sK15,sK6) | ~spl43_15), 39.42/5.44 inference(resolution,[],[f862,f654])). 39.42/5.44 tff(f1179,plain,( 39.42/5.44 spl43_67 | spl43_74 | spl43_75 | ~spl43_46), 39.42/5.44 inference(avatar_split_clause,[],[f1141,f956,f1176,f1172,f1137])). 39.42/5.44 tff(f1176,plain,( 39.42/5.44 spl43_75 <=> sP0(sK20,sK19,sK15,sK16,sK12,sK16)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_75])])). 39.42/5.44 tff(f1141,plain,( 39.42/5.44 sP0(sK20,sK19,sK15,sK16,sK12,sK16) | sK15 = sK20 | tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) = sK20 | ~spl43_46), 39.42/5.44 inference(forward_demodulation,[],[f563,f958])). 39.42/5.44 tff(f563,plain,( 39.42/5.44 sK15 = sK20 | tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) = sK20 | sP0(sK20,sK19,sK15,sK21,sK12,sK16)), 39.42/5.44 inference(duplicate_literal_removal,[],[f344])). 39.42/5.44 tff(f344,plain,( 39.42/5.44 sK15 = sK20 | sK15 = sK20 | tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) = sK20 | sP0(sK20,sK19,sK15,sK21,sK12,sK16)), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f1170,plain,( 39.42/5.44 ~spl43_73 | ~spl43_72 | spl43_45), 39.42/5.44 inference(avatar_split_clause,[],[f1117,f952,f1162,f1167])). 39.42/5.44 tff(f1162,plain,( 39.42/5.44 spl43_72 <=> inv_src1(sK19,sK9,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_72])])). 39.42/5.44 tff(f1117,plain,( 39.42/5.44 ~inv_src1(sK19,sK9,sK6) | ~inv_src1(sK19,sK7,sK13) | spl43_45), 39.42/5.44 inference(resolution,[],[f850,f961])). 39.42/5.44 tff(f1165,plain,( 39.42/5.44 ~spl43_71 | ~spl43_72 | spl43_48), 39.42/5.44 inference(avatar_split_clause,[],[f1116,f968,f1162,f1158])). 39.42/5.44 tff(f1158,plain,( 39.42/5.44 spl43_71 <=> inv_src1(sK19,sK7,sK15)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_71])])). 39.42/5.44 tff(f1116,plain,( 39.42/5.44 ~inv_src1(sK19,sK9,sK6) | ~inv_src1(sK19,sK7,sK15) | spl43_48), 39.42/5.44 inference(resolution,[],[f850,f973])). 39.42/5.44 tff(f1155,plain,( 39.42/5.44 ~spl43_70 | ~spl43_69 | spl43_16), 39.42/5.44 inference(avatar_split_clause,[],[f1115,f657,f1147,f1152])). 39.42/5.44 tff(f1147,plain,( 39.42/5.44 spl43_69 <=> inv_src1(sK23,sK9,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_69])])). 39.42/5.44 tff(f1115,plain,( 39.42/5.44 ~inv_src1(sK23,sK9,sK6) | ~inv_src1(sK23,sK7,sK20) | spl43_16), 39.42/5.44 inference(resolution,[],[f850,f715])). 39.42/5.44 tff(f1150,plain,( 39.42/5.44 ~spl43_68 | ~spl43_69 | spl43_17), 39.42/5.44 inference(avatar_split_clause,[],[f1114,f662,f1147,f1143])). 39.42/5.44 tff(f1143,plain,( 39.42/5.44 spl43_68 <=> inv_src1(sK23,sK7,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_68])])). 39.42/5.44 tff(f1114,plain,( 39.42/5.44 ~inv_src1(sK23,sK9,sK6) | ~inv_src1(sK23,sK7,sK13) | spl43_17), 39.42/5.44 inference(resolution,[],[f850,f716])). 39.42/5.44 tff(f1140,plain,( 39.42/5.44 spl43_44 | spl43_67 | spl43_46), 39.42/5.44 inference(avatar_split_clause,[],[f560,f956,f1137,f948])). 39.42/5.44 tff(f560,plain,( 39.42/5.44 sK16 = sK21 | tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) = sK20 | sP0(sK20,sK19,sK15,sK21,sK12,sK16)), 39.42/5.44 inference(duplicate_literal_removal,[],[f332])). 39.42/5.44 tff(f332,plain,( 39.42/5.44 sK16 = sK21 | sK16 = sK21 | tb2t(add(vertex,t2tb2(sK19),t2tb(sK15))) = sK20 | sP0(sK20,sK19,sK15,sK21,sK12,sK16)), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f1135,plain,( 39.42/5.44 ~spl43_66 | ~spl43_19), 39.42/5.44 inference(avatar_split_clause,[],[f1112,f676,f1132])). 39.42/5.44 tff(f1132,plain,( 39.42/5.44 spl43_66 <=> inv_src1(sK27,sK9,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_66])])). 39.42/5.44 tff(f1112,plain,( 39.42/5.44 ~inv_src1(sK27,sK9,sK6) | ~spl43_19), 39.42/5.44 inference(resolution,[],[f850,f678])). 39.42/5.44 tff(f1130,plain,( 39.42/5.44 ~spl43_65 | ~spl43_10), 39.42/5.44 inference(avatar_split_clause,[],[f1111,f627,f1127])). 39.42/5.44 tff(f1127,plain,( 39.42/5.44 spl43_65 <=> inv_src1(sK12,sK9,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_65])])). 39.42/5.44 tff(f1111,plain,( 39.42/5.44 ~inv_src1(sK12,sK9,sK6) | ~spl43_10), 39.42/5.44 inference(resolution,[],[f850,f629])). 39.42/5.44 tff(f1125,plain,( 39.42/5.44 ~spl43_64 | ~spl43_9), 39.42/5.44 inference(avatar_split_clause,[],[f1110,f622,f1122])). 39.42/5.44 tff(f1122,plain,( 39.42/5.44 spl43_64 <=> inv_src1(sK26,sK9,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_64])])). 39.42/5.44 tff(f1110,plain,( 39.42/5.44 ~inv_src1(sK26,sK9,sK6) | ~spl43_9), 39.42/5.44 inference(resolution,[],[f850,f624])). 39.42/5.44 tff(f1106,plain,( 39.42/5.44 spl43_63), 39.42/5.44 inference(avatar_contradiction_clause,[],[f1105])). 39.42/5.44 tff(f1105,plain,( 39.42/5.44 $false | spl43_63), 39.42/5.44 inference(resolution,[],[f1103,f404])). 39.42/5.44 tff(f1103,plain,( 39.42/5.44 ~sort1(vertex,choose(vertex,t2tb(sK6))) | spl43_63), 39.42/5.44 inference(avatar_component_clause,[],[f1101])). 39.42/5.44 tff(f1101,plain,( 39.42/5.44 spl43_63 <=> sort1(vertex,choose(vertex,t2tb(sK6)))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_63])])). 39.42/5.44 tff(f1104,plain,( 39.42/5.44 spl43_62 | ~spl43_63), 39.42/5.44 inference(avatar_split_clause,[],[f743,f1101,f1097])). 39.42/5.44 tff(f1097,plain,( 39.42/5.44 spl43_62 <=> is_empty(vertex,t2tb(sK6))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_62])])). 39.42/5.44 tff(f743,plain,( 39.42/5.44 ~sort1(vertex,choose(vertex,t2tb(sK6))) | is_empty(vertex,t2tb(sK6))), 39.42/5.44 inference(resolution,[],[f610,f409])). 39.42/5.44 tff(f1082,plain,( 39.42/5.44 ~spl43_61 | spl43_48), 39.42/5.44 inference(avatar_split_clause,[],[f1055,f968,f1079])). 39.42/5.44 tff(f1079,plain,( 39.42/5.44 spl43_61 <=> inv_src1(sK19,sK6,sK15)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_61])])). 39.42/5.44 tff(f1055,plain,( 39.42/5.44 ~inv_src1(sK19,sK6,sK15) | spl43_48), 39.42/5.44 inference(resolution,[],[f973,f280])). 39.42/5.44 tff(f1077,plain,( 39.42/5.44 ~spl43_60 | spl43_48), 39.42/5.44 inference(avatar_split_clause,[],[f1054,f968,f1074])). 39.42/5.44 tff(f1074,plain,( 39.42/5.44 spl43_60 <=> inv_src1(sK19,sK15,sK15)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_60])])). 39.42/5.44 tff(f1054,plain,( 39.42/5.44 ~inv_src1(sK19,sK15,sK15) | spl43_48), 39.42/5.44 inference(resolution,[],[f973,f970])). 39.42/5.44 tff(f1069,plain,( 39.42/5.44 ~spl43_59 | spl43_45 | spl43_48), 39.42/5.44 inference(avatar_split_clause,[],[f1053,f968,f952,f1066])). 39.42/5.44 tff(f1066,plain,( 39.42/5.44 spl43_59 <=> inv_src1(sK19,sK13,sK15)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_59])])). 39.42/5.44 tff(f1053,plain,( 39.42/5.44 ~inv_src1(sK19,sK13,sK15) | (spl43_45 | spl43_48)), 39.42/5.44 inference(resolution,[],[f973,f954])). 39.42/5.44 tff(f1050,plain,( 39.42/5.44 ~spl43_58 | spl43_45), 39.42/5.44 inference(avatar_split_clause,[],[f1023,f952,f1047])). 39.42/5.44 tff(f1047,plain,( 39.42/5.44 spl43_58 <=> inv_src1(sK19,sK6,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_58])])). 39.42/5.44 tff(f1023,plain,( 39.42/5.44 ~inv_src1(sK19,sK6,sK13) | spl43_45), 39.42/5.44 inference(resolution,[],[f961,f280])). 39.42/5.44 tff(f1042,plain,( 39.42/5.44 ~spl43_57 | spl43_45 | spl43_48), 39.42/5.44 inference(avatar_split_clause,[],[f1022,f968,f952,f1039])). 39.42/5.44 tff(f1039,plain,( 39.42/5.44 spl43_57 <=> inv_src1(sK19,sK15,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_57])])). 39.42/5.44 tff(f1022,plain,( 39.42/5.44 ~inv_src1(sK19,sK15,sK13) | (spl43_45 | spl43_48)), 39.42/5.44 inference(resolution,[],[f961,f970])). 39.42/5.44 tff(f1037,plain,( 39.42/5.44 ~spl43_56 | spl43_45), 39.42/5.44 inference(avatar_split_clause,[],[f1021,f952,f1034])). 39.42/5.44 tff(f1034,plain,( 39.42/5.44 spl43_56 <=> inv_src1(sK19,sK13,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_56])])). 39.42/5.44 tff(f1021,plain,( 39.42/5.44 ~inv_src1(sK19,sK13,sK13) | spl43_45), 39.42/5.44 inference(resolution,[],[f961,f954])). 39.42/5.44 tff(f1020,plain,( 39.42/5.44 spl43_55), 39.42/5.44 inference(avatar_split_clause,[],[f936,f1017])). 39.42/5.44 tff(f936,plain,( 39.42/5.44 0 = tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK1)))), 39.42/5.44 inference(equality_resolution,[],[f538])). 39.42/5.44 tff(f538,plain,( 39.42/5.44 ( ! [X1 : uni] : (get(int,vertex,t2tb1(sK8),t2tb2(sK1)) != X1 | 0 = tb2t3(X1)) )), 39.42/5.44 inference(theory_flattening,[],[f292])). 39.42/5.44 tff(f292,plain,( 39.42/5.44 0 = tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK1)))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f1015,plain,( 39.42/5.44 spl43_54), 39.42/5.44 inference(avatar_split_clause,[],[f912,f1012])). 39.42/5.44 tff(f912,plain,( 39.42/5.44 0 = tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK1)))), 39.42/5.44 inference(equality_resolution,[],[f535])). 39.42/5.44 tff(f535,plain,( 39.42/5.44 ( ! [X1 : uni] : (get(int,vertex,t2tb1(sK16),t2tb2(sK1)) != X1 | 0 = tb2t3(X1)) )), 39.42/5.44 inference(theory_flattening,[],[f306])). 39.42/5.44 tff(f306,plain,( 39.42/5.44 0 = tb2t3(get(int,vertex,t2tb1(sK16),t2tb2(sK1)))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f1010,plain,( 39.42/5.44 ~spl43_53 | ~spl43_33), 39.42/5.44 inference(avatar_split_clause,[],[f816,f802,f1007])). 39.42/5.44 tff(f1007,plain,( 39.42/5.44 spl43_53 <=> $less(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK12))),0)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_53])])). 39.42/5.44 tff(f816,plain,( 39.42/5.44 ~$less(tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK12))),0) | ~spl43_33), 39.42/5.44 inference(resolution,[],[f804,f443])). 39.42/5.44 tff(f443,plain,( 39.42/5.44 ( ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~path1(X0,X1,X2) | ~$less(X2,0)) )), 39.42/5.44 inference(cnf_transformation,[],[f193])). 39.42/5.44 tff(f193,plain,( 39.42/5.44 ! [X0 : vertex1,X1 : vertex1,X2 : $int] : (~$less(X2,0) | ~path1(X0,X1,X2))), 39.42/5.44 inference(ennf_transformation,[],[f143])). 39.42/5.44 tff(f143,plain,( 39.42/5.44 ! [X0 : vertex1,X1 : vertex1,X2 : $int] : (path1(X0,X1,X2) => ~$less(X2,0))), 39.42/5.44 inference(rectify,[],[f84])). 39.42/5.44 tff(f84,plain,( 39.42/5.44 ! [X3 : vertex1,X14 : vertex1,X8 : $int] : (path1(X3,X14,X8) => ~$less(X8,0))), 39.42/5.44 inference(theory_normalization,[],[f55])). 39.42/5.44 tff(f55,axiom,( 39.42/5.44 ! [X3 : vertex1,X14 : vertex1,X8 : $int] : (path1(X3,X14,X8) => $lesseq(0,X8))), 39.42/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nonneg)). 39.42/5.44 tff(f1005,plain,( 39.42/5.44 ~spl43_52 | spl43_17), 39.42/5.44 inference(avatar_split_clause,[],[f981,f662,f1002])). 39.42/5.44 tff(f1002,plain,( 39.42/5.44 spl43_52 <=> inv_src1(sK23,sK6,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_52])])). 39.42/5.44 tff(f981,plain,( 39.42/5.44 ~inv_src1(sK23,sK6,sK13) | spl43_17), 39.42/5.44 inference(resolution,[],[f716,f280])). 39.42/5.44 tff(f1000,plain,( 39.42/5.44 ~spl43_51 | spl43_17), 39.42/5.44 inference(avatar_split_clause,[],[f980,f662,f997])). 39.42/5.44 tff(f997,plain,( 39.42/5.44 spl43_51 <=> inv_src1(sK23,sK13,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_51])])). 39.42/5.44 tff(f980,plain,( 39.42/5.44 ~inv_src1(sK23,sK13,sK13) | spl43_17), 39.42/5.44 inference(resolution,[],[f716,f664])). 39.42/5.44 tff(f995,plain,( 39.42/5.44 ~spl43_50 | spl43_16 | spl43_17), 39.42/5.44 inference(avatar_split_clause,[],[f979,f662,f657,f992])). 39.42/5.44 tff(f992,plain,( 39.42/5.44 spl43_50 <=> inv_src1(sK23,sK20,sK13)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_50])])). 39.42/5.44 tff(f979,plain,( 39.42/5.44 ~inv_src1(sK23,sK20,sK13) | (spl43_16 | spl43_17)), 39.42/5.44 inference(resolution,[],[f716,f659])). 39.42/5.44 tff(f978,plain,( 39.42/5.44 ~spl43_49 | spl43_48), 39.42/5.44 inference(avatar_split_clause,[],[f972,f968,f975])). 39.42/5.44 tff(f975,plain,( 39.42/5.44 spl43_49 <=> inv_src1(sK19,sK15,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_49])])). 39.42/5.44 tff(f972,plain,( 39.42/5.44 ~inv_src1(sK19,sK15,sK6) | spl43_48), 39.42/5.44 inference(resolution,[],[f970,f609])). 39.42/5.44 tff(f971,plain,( 39.42/5.44 spl43_44 | ~spl43_48 | spl43_46), 39.42/5.44 inference(avatar_split_clause,[],[f561,f956,f968,f948])). 39.42/5.44 tff(f561,plain,( 39.42/5.44 sK16 = sK21 | ~mem(vertex,t2tb2(sK19),t2tb(sK15)) | sP0(sK20,sK19,sK15,sK21,sK12,sK16)), 39.42/5.44 inference(duplicate_literal_removal,[],[f333])). 39.42/5.44 tff(f333,plain,( 39.42/5.44 sK16 = sK21 | sK16 = sK21 | ~mem(vertex,t2tb2(sK19),t2tb(sK15)) | sP0(sK20,sK19,sK15,sK21,sK12,sK16)), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f966,plain,( 39.42/5.44 ~spl43_47 | spl43_45), 39.42/5.44 inference(avatar_split_clause,[],[f960,f952,f963])). 39.42/5.44 tff(f963,plain,( 39.42/5.44 spl43_47 <=> inv_src1(sK19,sK13,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_47])])). 39.42/5.44 tff(f960,plain,( 39.42/5.44 ~inv_src1(sK19,sK13,sK6) | spl43_45), 39.42/5.44 inference(resolution,[],[f954,f609])). 39.42/5.44 tff(f959,plain,( 39.42/5.44 spl43_44 | ~spl43_45 | spl43_46), 39.42/5.44 inference(avatar_split_clause,[],[f559,f956,f952,f948])). 39.42/5.44 tff(f559,plain,( 39.42/5.44 sK16 = sK21 | ~mem(vertex,t2tb2(sK19),t2tb(sK13)) | sP0(sK20,sK19,sK15,sK21,sK12,sK16)), 39.42/5.44 inference(duplicate_literal_removal,[],[f330])). 39.42/5.44 tff(f330,plain,( 39.42/5.44 sK16 = sK21 | sK16 = sK21 | ~mem(vertex,t2tb2(sK19),t2tb(sK13)) | sP0(sK20,sK19,sK15,sK21,sK12,sK16)), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f946,plain,( 39.42/5.44 ~spl43_43 | spl43_16), 39.42/5.44 inference(avatar_split_clause,[],[f921,f657,f943])). 39.42/5.44 tff(f943,plain,( 39.42/5.44 spl43_43 <=> inv_src1(sK23,sK6,sK20)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_43])])). 39.42/5.44 tff(f921,plain,( 39.42/5.44 ~inv_src1(sK23,sK6,sK20) | spl43_16), 39.42/5.44 inference(resolution,[],[f715,f280])). 39.42/5.44 tff(f941,plain,( 39.42/5.44 ~spl43_42 | spl43_16 | spl43_17), 39.42/5.44 inference(avatar_split_clause,[],[f920,f662,f657,f938])). 39.42/5.44 tff(f938,plain,( 39.42/5.44 spl43_42 <=> inv_src1(sK23,sK13,sK20)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_42])])). 39.42/5.44 tff(f920,plain,( 39.42/5.44 ~inv_src1(sK23,sK13,sK20) | (spl43_16 | spl43_17)), 39.42/5.44 inference(resolution,[],[f715,f664])). 39.42/5.44 tff(f935,plain,( 39.42/5.44 ~spl43_41 | spl43_16), 39.42/5.44 inference(avatar_split_clause,[],[f919,f657,f932])). 39.42/5.44 tff(f932,plain,( 39.42/5.44 spl43_41 <=> inv_src1(sK23,sK20,sK20)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_41])])). 39.42/5.44 tff(f919,plain,( 39.42/5.44 ~inv_src1(sK23,sK20,sK20) | spl43_16), 39.42/5.44 inference(resolution,[],[f715,f659])). 39.42/5.44 tff(f917,plain,( 39.42/5.44 spl43_40 | ~spl43_12 | ~spl43_15), 39.42/5.44 inference(avatar_split_clause,[],[f905,f652,f637,f914])). 39.42/5.44 tff(f914,plain,( 39.42/5.44 spl43_40 <=> mem(vertex,t2tb2(sK22),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_40])])). 39.42/5.44 tff(f905,plain,( 39.42/5.44 mem(vertex,t2tb2(sK22),t2tb(v1)) | (~spl43_12 | ~spl43_15)), 39.42/5.44 inference(resolution,[],[f701,f654])). 39.42/5.44 tff(f857,plain,( 39.42/5.44 spl43_39 | ~spl43_7 | ~spl43_19), 39.42/5.44 inference(avatar_split_clause,[],[f832,f676,f612,f854])). 39.42/5.44 tff(f854,plain,( 39.42/5.44 spl43_39 <=> mem(vertex,t2tb2(sK27),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_39])])). 39.42/5.44 tff(f832,plain,( 39.42/5.44 mem(vertex,t2tb2(sK27),t2tb(v1)) | (~spl43_7 | ~spl43_19)), 39.42/5.44 inference(resolution,[],[f688,f678])). 39.42/5.44 tff(f848,plain,( 39.42/5.44 spl43_38 | ~spl43_7 | ~spl43_10), 39.42/5.44 inference(avatar_split_clause,[],[f831,f627,f612,f845])). 39.42/5.44 tff(f845,plain,( 39.42/5.44 spl43_38 <=> mem(vertex,t2tb2(sK12),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_38])])). 39.42/5.44 tff(f831,plain,( 39.42/5.44 mem(vertex,t2tb2(sK12),t2tb(v1)) | (~spl43_7 | ~spl43_10)), 39.42/5.44 inference(resolution,[],[f688,f629])). 39.42/5.44 tff(f843,plain,( 39.42/5.44 spl43_37 | ~spl43_7 | ~spl43_9), 39.42/5.44 inference(avatar_split_clause,[],[f830,f622,f612,f840])). 39.42/5.44 tff(f840,plain,( 39.42/5.44 spl43_37 <=> mem(vertex,t2tb2(sK26),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_37])])). 39.42/5.44 tff(f830,plain,( 39.42/5.44 mem(vertex,t2tb2(sK26),t2tb(v1)) | (~spl43_7 | ~spl43_9)), 39.42/5.44 inference(resolution,[],[f688,f624])). 39.42/5.44 tff(f826,plain,( 39.42/5.44 spl43_36), 39.42/5.44 inference(avatar_split_clause,[],[f282,f823])). 39.42/5.44 tff(f282,plain,( 39.42/5.44 tb2t1(set1(int,vertex,t2tb1(sK3),t2tb2(sK1),t2tb3(0))) = sK5), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f815,plain,( 39.42/5.44 ~spl43_35 | spl43_17), 39.42/5.44 inference(avatar_split_clause,[],[f795,f662,f812])). 39.42/5.44 tff(f812,plain,( 39.42/5.44 spl43_35 <=> inv_src1(sK23,sK13,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_35])])). 39.42/5.44 tff(f795,plain,( 39.42/5.44 ~inv_src1(sK23,sK13,sK6) | spl43_17), 39.42/5.44 inference(resolution,[],[f609,f664])). 39.42/5.44 tff(f810,plain,( 39.42/5.44 ~spl43_34 | spl43_16), 39.42/5.44 inference(avatar_split_clause,[],[f794,f657,f807])). 39.42/5.44 tff(f807,plain,( 39.42/5.44 spl43_34 <=> inv_src1(sK23,sK20,sK6)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_34])])). 39.42/5.44 tff(f794,plain,( 39.42/5.44 ~inv_src1(sK23,sK20,sK6) | spl43_16), 39.42/5.44 inference(resolution,[],[f609,f659])). 39.42/5.44 tff(f805,plain,( 39.42/5.44 spl43_33), 39.42/5.44 inference(avatar_split_clause,[],[f301,f802])). 39.42/5.44 tff(f301,plain,( 39.42/5.44 path1(sK1,sK12,tb2t3(get(int,vertex,t2tb1(sK8),t2tb2(sK12))))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f773,plain,( 39.42/5.44 ~spl43_31 | ~spl43_32), 39.42/5.44 inference(avatar_split_clause,[],[f374,f770,f766])). 39.42/5.44 tff(f374,plain,( 39.42/5.44 ~mem(vertex,t2tb2(sK23),t2tb(sK18)) | sK12 != sK22), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f764,plain,( 39.42/5.44 spl43_30), 39.42/5.44 inference(avatar_split_clause,[],[f320,f761])). 39.42/5.44 tff(f320,plain,( 39.42/5.44 sK18 = tb2t(remove(vertex,t2tb2(sK19),t2tb(sK14)))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f759,plain,( 39.42/5.44 spl43_29), 39.42/5.44 inference(avatar_split_clause,[],[f303,f756])). 39.42/5.44 tff(f303,plain,( 39.42/5.44 tb2t(add(vertex,t2tb2(sK12),t2tb(sK9))) = sK13), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f754,plain,( 39.42/5.44 spl43_28), 39.42/5.44 inference(avatar_split_clause,[],[f299,f751])). 39.42/5.44 tff(f299,plain,( 39.42/5.44 sK11 = tb2t(remove(vertex,t2tb2(sK12),t2tb(sK7)))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f742,plain,( 39.42/5.44 spl43_27), 39.42/5.44 inference(avatar_split_clause,[],[f281,f739])). 39.42/5.44 tff(f281,plain,( 39.42/5.44 tb2t(add(vertex,t2tb2(sK1),empty(vertex))) = sK4), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f737,plain,( 39.42/5.44 ~spl43_26 | ~spl43_25), 39.42/5.44 inference(avatar_split_clause,[],[f732,f727,f734])). 39.42/5.44 tff(f734,plain,( 39.42/5.44 spl43_26 <=> is_empty(vertex,t2tb(g_succ1(sK22)))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_26])])). 39.42/5.44 tff(f732,plain,( 39.42/5.44 ~is_empty(vertex,t2tb(g_succ1(sK22))) | ~spl43_25), 39.42/5.44 inference(resolution,[],[f729,f408])). 39.42/5.44 tff(f730,plain,( 39.42/5.44 spl43_25), 39.42/5.44 inference(avatar_split_clause,[],[f372,f727])). 39.42/5.44 tff(f372,plain,( 39.42/5.44 mem(vertex,t2tb2(sK23),t2tb(g_succ1(sK22)))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f725,plain,( 39.42/5.44 spl43_24 | spl43_1), 39.42/5.44 inference(avatar_split_clause,[],[f719,f578,f722])). 39.42/5.44 tff(f722,plain,( 39.42/5.44 spl43_24 <=> false1 = sK10), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_24])])). 39.42/5.44 tff(f578,plain,( 39.42/5.44 spl43_1 <=> sK10 = sK17), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_1])])). 39.42/5.44 tff(f719,plain,( 39.42/5.44 false1 = sK10 | spl43_1), 39.42/5.44 inference(equality_resolution,[],[f668])). 39.42/5.44 tff(f668,plain,( 39.42/5.44 ( ! [X0 : bool1] : (sK10 != X0 | false1 = X0) ) | spl43_1), 39.42/5.44 inference(superposition,[],[f580,f502])). 39.42/5.44 tff(f502,plain,( 39.42/5.44 ( ! [X0 : bool1] : (sK17 = X0 | false1 = X0) )), 39.42/5.44 inference(definition_unfolding,[],[f394,f318])). 39.42/5.44 tff(f318,plain,( 39.42/5.44 true1 = sK17), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f394,plain,( 39.42/5.44 ( ! [X0 : bool1] : (false1 = X0 | true1 = X0) )), 39.42/5.44 inference(cnf_transformation,[],[f108])). 39.42/5.44 tff(f108,plain,( 39.42/5.44 ! [X0 : bool1] : (false1 = X0 | true1 = X0)), 39.42/5.44 inference(rectify,[],[f8])). 39.42/5.44 tff(f8,axiom,( 39.42/5.44 ! [X12 : bool1] : (false1 = X12 | true1 = X12)), 39.42/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bool_inversion)). 39.42/5.44 tff(f580,plain,( 39.42/5.44 sK10 != sK17 | spl43_1), 39.42/5.44 inference(avatar_component_clause,[],[f578])). 39.42/5.44 tff(f714,plain,( 39.42/5.44 ~spl43_23 | ~spl43_15), 39.42/5.44 inference(avatar_split_clause,[],[f709,f652,f711])). 39.42/5.44 tff(f709,plain,( 39.42/5.44 ~is_empty(vertex,t2tb(sK13)) | ~spl43_15), 39.42/5.44 inference(resolution,[],[f654,f408])). 39.42/5.44 tff(f707,plain,( 39.42/5.44 ~spl43_22 | ~spl43_13), 39.42/5.44 inference(avatar_split_clause,[],[f702,f642,f704])). 39.42/5.44 tff(f704,plain,( 39.42/5.44 spl43_22 <=> is_empty(vertex,t2tb(sK14))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_22])])). 39.42/5.44 tff(f642,plain,( 39.42/5.44 spl43_13 <=> mem(vertex,t2tb2(sK24),t2tb(sK14))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_13])])). 39.42/5.44 tff(f702,plain,( 39.42/5.44 ~is_empty(vertex,t2tb(sK14)) | ~spl43_13), 39.42/5.44 inference(resolution,[],[f644,f408])). 39.42/5.44 tff(f644,plain,( 39.42/5.44 mem(vertex,t2tb2(sK24),t2tb(sK14)) | ~spl43_13), 39.42/5.44 inference(avatar_component_clause,[],[f642])). 39.42/5.44 tff(f696,plain,( 39.42/5.44 ~spl43_21 | ~spl43_9), 39.42/5.44 inference(avatar_split_clause,[],[f691,f622,f693])). 39.42/5.44 tff(f691,plain,( 39.42/5.44 ~is_empty(vertex,t2tb(sK7)) | ~spl43_9), 39.42/5.44 inference(resolution,[],[f624,f408])). 39.42/5.44 tff(f685,plain,( 39.42/5.44 ~spl43_20 | ~spl43_5), 39.42/5.44 inference(avatar_split_clause,[],[f680,f599,f682])). 39.42/5.44 tff(f682,plain,( 39.42/5.44 spl43_20 <=> is_empty(vertex,t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_20])])). 39.42/5.44 tff(f599,plain,( 39.42/5.44 spl43_5 <=> mem(vertex,t2tb2(sK2),t2tb(v1))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_5])])). 39.42/5.44 tff(f680,plain,( 39.42/5.44 ~is_empty(vertex,t2tb(v1)) | ~spl43_5), 39.42/5.44 inference(resolution,[],[f601,f408])). 39.42/5.44 tff(f601,plain,( 39.42/5.44 mem(vertex,t2tb2(sK2),t2tb(v1)) | ~spl43_5), 39.42/5.44 inference(avatar_component_clause,[],[f599])). 39.42/5.44 tff(f679,plain,( 39.42/5.44 spl43_19), 39.42/5.44 inference(avatar_split_clause,[],[f576,f676])). 39.42/5.44 tff(f576,plain,( 39.42/5.44 mem(vertex,t2tb2(sK27),t2tb(sK7))), 39.42/5.44 inference(global_subsumption,[],[f575,f500])). 39.42/5.44 tff(f500,plain,( 39.42/5.44 sK10 = sK17 | mem(vertex,t2tb2(sK27),t2tb(sK7))), 39.42/5.44 inference(definition_unfolding,[],[f294,f318])). 39.42/5.44 tff(f294,plain,( 39.42/5.44 true1 = sK10 | mem(vertex,t2tb2(sK27),t2tb(sK7))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f575,plain,( 39.42/5.44 sK10 != sK17), 39.42/5.44 inference(global_subsumption,[],[f498])). 39.42/5.44 tff(f498,plain,( 39.42/5.44 sK10 != sK17), 39.42/5.44 inference(definition_unfolding,[],[f296,f318])). 39.42/5.44 tff(f296,plain,( 39.42/5.44 true1 != sK10), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f674,plain,( 39.42/5.44 spl43_18), 39.42/5.44 inference(avatar_split_clause,[],[f558,f671])). 39.42/5.44 tff(f671,plain,( 39.42/5.44 spl43_18 <=> mem(vertex,t2tb2(sK25),t2tb(sK14))), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_18])])). 39.42/5.44 tff(f558,plain,( 39.42/5.44 mem(vertex,t2tb2(sK25),t2tb(sK14))), 39.42/5.44 inference(trivial_inequality_removal,[],[f496])). 39.42/5.44 tff(f496,plain,( 39.42/5.44 mem(vertex,t2tb2(sK25),t2tb(sK14)) | sK17 != sK17), 39.42/5.44 inference(definition_unfolding,[],[f317,f318])). 39.42/5.44 tff(f317,plain,( 39.42/5.44 mem(vertex,t2tb2(sK25),t2tb(sK14)) | true1 != sK17), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f665,plain,( 39.42/5.44 ~spl43_17), 39.42/5.44 inference(avatar_split_clause,[],[f376,f662])). 39.42/5.44 tff(f376,plain,( 39.42/5.44 ~mem(vertex,t2tb2(sK23),t2tb(sK13))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f660,plain,( 39.42/5.44 ~spl43_16), 39.42/5.44 inference(avatar_split_clause,[],[f375,f657])). 39.42/5.44 tff(f375,plain,( 39.42/5.44 ~mem(vertex,t2tb2(sK23),t2tb(sK20))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f655,plain,( 39.42/5.44 spl43_15), 39.42/5.44 inference(avatar_split_clause,[],[f371,f652])). 39.42/5.44 tff(f371,plain,( 39.42/5.44 mem(vertex,t2tb2(sK22),t2tb(sK13))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f650,plain,( 39.42/5.44 spl43_14), 39.42/5.44 inference(avatar_split_clause,[],[f321,f647])). 39.42/5.44 tff(f321,plain,( 39.42/5.44 mem(vertex,t2tb2(sK19),t2tb(sK14))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f645,plain,( 39.42/5.44 spl43_13), 39.42/5.44 inference(avatar_split_clause,[],[f319,f642])). 39.42/5.44 tff(f319,plain,( 39.42/5.44 mem(vertex,t2tb2(sK24),t2tb(sK14))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f640,plain,( 39.42/5.44 spl43_12), 39.42/5.44 inference(avatar_split_clause,[],[f315,f637])). 39.42/5.44 tff(f315,plain,( 39.42/5.44 subset(vertex,t2tb(sK13),t2tb(v1))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f635,plain,( 39.42/5.44 spl43_11), 39.42/5.44 inference(avatar_split_clause,[],[f307,f632])). 39.42/5.44 tff(f307,plain,( 39.42/5.44 subset(vertex,t2tb(sK15),t2tb(v1))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f630,plain,( 39.42/5.44 spl43_10), 39.42/5.44 inference(avatar_split_clause,[],[f300,f627])). 39.42/5.44 tff(f300,plain,( 39.42/5.44 mem(vertex,t2tb2(sK12),t2tb(sK7))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f625,plain,( 39.42/5.44 spl43_9), 39.42/5.44 inference(avatar_split_clause,[],[f297,f622])). 39.42/5.44 tff(f297,plain,( 39.42/5.44 mem(vertex,t2tb2(sK26),t2tb(sK7))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f620,plain,( 39.42/5.44 spl43_8), 39.42/5.44 inference(avatar_split_clause,[],[f291,f617])). 39.42/5.44 tff(f291,plain,( 39.42/5.44 subset(vertex,t2tb(sK9),t2tb(v1))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f615,plain,( 39.42/5.44 spl43_7), 39.42/5.44 inference(avatar_split_clause,[],[f290,f612])). 39.42/5.44 tff(f290,plain,( 39.42/5.44 subset(vertex,t2tb(sK7),t2tb(v1))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f607,plain,( 39.42/5.44 spl43_6), 39.42/5.44 inference(avatar_split_clause,[],[f279,f604])). 39.42/5.44 tff(f279,plain,( 39.42/5.44 mem(vertex,t2tb2(sK1),t2tb(v1))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f602,plain,( 39.42/5.44 spl43_5), 39.42/5.44 inference(avatar_split_clause,[],[f278,f599])). 39.42/5.44 tff(f278,plain,( 39.42/5.44 mem(vertex,t2tb2(sK2),t2tb(v1))), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f597,plain,( 39.42/5.44 spl43_4), 39.42/5.44 inference(avatar_split_clause,[],[f305,f594])). 39.42/5.44 tff(f305,plain,( 39.42/5.44 inv_src1(sK1,sK13,sK15)), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f592,plain,( 39.42/5.44 spl43_3), 39.42/5.44 inference(avatar_split_clause,[],[f293,f589])). 39.42/5.44 tff(f589,plain,( 39.42/5.44 spl43_3 <=> inv_src1(sK1,sK9,sK7)), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_3])])). 39.42/5.44 tff(f293,plain,( 39.42/5.44 inv_src1(sK1,sK9,sK7)), 39.42/5.44 inference(cnf_transformation,[],[f241])). 39.42/5.44 tff(f587,plain,( 39.42/5.44 ~spl43_1), 39.42/5.44 inference(avatar_split_clause,[],[f575,f578])). 39.42/5.44 tff(f586,plain,( 39.42/5.44 ~spl43_2), 39.42/5.44 inference(avatar_split_clause,[],[f501,f583])). 39.42/5.44 tff(f583,plain,( 39.42/5.44 spl43_2 <=> false1 = sK17), 39.42/5.44 introduced(avatar_definition,[new_symbols(naming,[spl43_2])])). 39.42/5.44 tff(f501,plain,( 39.42/5.44 false1 != sK17), 39.42/5.44 inference(definition_unfolding,[],[f377,f318])). 39.42/5.44 tff(f377,plain,( 39.42/5.44 true1 != false1), 39.42/5.44 inference(cnf_transformation,[],[f52])). 39.42/5.44 tff(f52,axiom,( 39.42/5.44 true1 != false1), 39.42/5.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False)). 39.42/5.44 tff(f581,plain,( 39.42/5.44 ~spl43_1), 39.42/5.44 inference(avatar_split_clause,[],[f498,f578])). 39.42/5.44 % SZS output end Proof for theBenchmark 39.42/5.44 % (29229)------------------------------ 39.42/5.44 % (29229)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 39.42/5.44 % (29229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 39.42/5.44 % (29229)Termination reason: Refutation 39.42/5.44 39.42/5.44 % (29229)Memory used [KB]: 18805 39.42/5.44 % (29229)Time elapsed: 1.844 s 39.42/5.44 % (29229)------------------------------ 39.42/5.44 % (29229)------------------------------ 39.42/5.44 % (29210)Success in time 5.063 s 39.42/5.44 EOF