0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.12/0.33 % Computer : n024.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 04:55:52 EDT 2022 0.12/0.33 % CPUTime : 0.12/0.34 This is a FOF_ problem 0.12/0.34 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.34 % (30916)Running in auto input_syntax mode. Trying TPTP 0.12/0.40 % (30917)dis+10_1_add=off:afp=4000:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_2 on theBenchmark 0.12/0.40 % (30918)dis+10_3_add=large:afp=10000:afq=1.0:amm=sco:anc=none:gsp=on:gs=on:gsem=off:lcm=reverse:nwc=1:sos=on_6 on theBenchmark 0.12/0.40 % (30920)lrs+11_20_av=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=theory:sp=reverse_arity:uhcvi=on_92 on theBenchmark 0.12/0.40 % (30924)lrs+4_3_av=off:br=off:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 0.12/0.40 % (30921)dis+1002_6_add=large:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_7 on theBenchmark 0.12/0.40 % (30919)dis+11_1_acc=on:afp=1000:afq=1.4:amm=sco:anc=all_dependent:bs=on:ccuc=small_ones:cond=fast:fde=none:gsp=on:nm=64:nwc=1:sac=on:urr=ec_only:updr=off:uhcvi=on_105 on theBenchmark 0.12/0.40 % (30922)lrs+1_4:1_awrs=converge:awrsf=128:av=off:cond=fast:fde=none:gsp=on:gs=on:gsem=on:lcm=predicate:lwlo=on:nm=4:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:s2a=on:st=2.0:sos=on_27 on theBenchmark 0.12/0.40 % (30923)lrs+1011_8_add=large:afp=100000:afq=1.1:er=filter:gsp=on:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark 0.12/0.40 % (30917)Refutation not found, incomplete strategy% (30917)------------------------------ 0.12/0.40 % (30917)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.12/0.40 % (30917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.12/0.40 % (30917)Termination reason: Refutation not found, incomplete strategy 0.12/0.40 0.12/0.40 % (30918)Refutation not found, incomplete strategy% (30918)------------------------------ 0.12/0.40 % (30918)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.12/0.40 % (30918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.12/0.40 % (30918)Termination reason: Refutation not found, incomplete strategy 0.12/0.40 0.12/0.40 % (30918)Memory used [KB]: 10618 0.12/0.40 % (30918)Time elapsed: 0.003 s 0.12/0.40 % (30918)------------------------------ 0.12/0.40 % (30918)------------------------------ 0.12/0.40 % (30917)Memory used [KB]: 10618 0.12/0.40 % (30917)Time elapsed: 0.003 s 0.12/0.40 % (30917)------------------------------ 0.12/0.40 % (30917)------------------------------ 0.12/0.40 % (30922)Refutation not found, incomplete strategy% (30922)------------------------------ 0.12/0.40 % (30922)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.12/0.40 % (30922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.12/0.40 % (30922)Termination reason: Refutation not found, incomplete strategy 0.12/0.40 0.12/0.40 % (30922)Memory used [KB]: 6140 0.12/0.40 % (30922)Time elapsed: 0.002 s 0.12/0.40 % (30922)------------------------------ 0.12/0.40 % (30922)------------------------------ 0.12/0.41 % (30924)Refutation not found, incomplete strategy% (30924)------------------------------ 0.12/0.41 % (30924)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.12/0.41 % (30924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.12/0.41 % (30924)Termination reason: Refutation not found, incomplete strategy 0.12/0.41 0.12/0.41 % (30924)Memory used [KB]: 1791 0.12/0.41 % (30924)Time elapsed: 0.003 s 0.12/0.41 % (30924)------------------------------ 0.12/0.41 % (30924)------------------------------ 0.19/0.47 % (30933)lrs+1_5:1_afr=on:afp=100000:afq=2.0:amm=off:anc=none:bd=off:fde=none:gs=on:gsaa=full_model:gsem=on:irw=on:lwlo=on:nm=0:nwc=2.5:stl=30:sp=occurrence:uhcvi=on_42 on theBenchmark 0.19/0.47 % (30931)dis+1011_4_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 0.19/0.47 % (30932)lrs+1002_4:1_aac=none:add=off:afr=on:afp=40000:afq=1.0:amm=off:anc=none:cond=on:fsr=off:fde=none:gs=on:gsaa=full_model:lma=on:nm=16:nwc=1:sas=z3:stl=30:sd=7:ss=axioms:sos=on:sp=occurrence:updr=off:uhcvi=on_85 on theBenchmark 0.19/0.47 % (30934)lrs+1011_2:3_add=large:afr=on:afp=100000:afq=1.2:anc=none:gs=on:gsem=off:irw=on:nm=64:nwc=1:stl=30:sd=3:ss=axioms:sos=all:sp=reverse_arity_48 on theBenchmark 0.19/0.52 % (30932)Refutation not found, incomplete strategy% (30932)------------------------------ 0.19/0.52 % (30932)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.19/0.52 % (30932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.52 % (30932)Termination reason: Refutation not found, incomplete strategy 0.19/0.52 0.19/0.52 % (30932)Memory used [KB]: 6140 0.19/0.52 % (30932)Time elapsed: 0.052 s 0.19/0.52 % (30932)------------------------------ 0.19/0.52 % (30932)------------------------------ 0.19/0.58 % (30946)ott+4_32_av=off:bsr=on:cond=on:er=known:fsr=off:gsp=on:gs=on:gsem=on:irw=on:lma=on:nm=4:nwc=1.2:sos=theory_197 on theBenchmark 4.82/1.00 % (30923)Time limit reached! 4.82/1.00 % (30923)------------------------------ 4.82/1.00 % (30923)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.82/1.00 % (30923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.82/1.00 % (30923)Termination reason: Time limit 4.82/1.00 % (30923)Termination phase: Saturation 4.82/1.00 4.82/1.00 % (30923)Memory used [KB]: 11001 4.82/1.00 % (30923)Time elapsed: 0.600 s 4.82/1.00 % (30923)------------------------------ 4.82/1.00 % (30923)------------------------------ 5.48/1.06 % (30986)ott-3_4:1_awrs=converge:awrsf=2:acc=model:add=large:afr=on:afp=40000:afq=1.2:anc=none:ccuc=small_ones:fde=unused:gsp=on:irw=on:nm=0:nwc=4:sd=4:ss=axioms:s2a=on:st=1.2:sos=on:urr=on:updr=off:uhcvi=on_2 on theBenchmark 7.19/1.26 % (30931)Time limit reached! 7.19/1.26 % (30931)------------------------------ 7.19/1.26 % (30931)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 7.19/1.26 % (30931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 7.19/1.26 % (30931)Termination reason: Time limit 7.19/1.26 % (30931)Termination phase: Saturation 7.19/1.26 7.19/1.26 % (30931)Memory used [KB]: 4093 7.19/1.26 % (30931)Time elapsed: 0.800 s 7.19/1.26 % (30931)------------------------------ 7.19/1.26 % (30931)------------------------------ 7.65/1.32 % (31006)dis+1011_3_awrs=decay:awrsf=32:afp=10000:afq=1.1:amm=off:anc=none:cond=fast:ep=RSTC:fde=unused:lma=on:nm=16:nwc=2.5:s2a=on:sac=on:sp=frequency:urr=ec_only_2 on theBenchmark 8.08/1.40 % (30921)Time limit reached! 8.08/1.40 % (30921)------------------------------ 8.08/1.40 % (30921)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 8.08/1.40 % (30921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 8.08/1.40 % (30921)Termination reason: Time limit 8.08/1.40 % (30921)Termination phase: Saturation 8.08/1.40 8.08/1.40 % (30921)Memory used [KB]: 11897 8.08/1.40 % (30921)Time elapsed: 1.0000 s 8.08/1.40 % (30921)------------------------------ 8.08/1.40 % (30921)------------------------------ 8.73/1.46 % (31011)lrs-2_6_acc=on:afp=40000:afq=1.2:amm=sco:anc=none:bs=on:bsr=on:cond=on:fsr=off:fde=none:lcm=reverse:lma=on:nm=32:newcnf=on:nwc=2.5:nicw=on:stl=30:sp=reverse_arity:urr=ec_only_162 on theBenchmark 9.24/1.56 % (30986)Time limit reached! 9.24/1.56 % (30986)------------------------------ 9.24/1.56 % (30986)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 9.24/1.56 % (30986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 9.24/1.56 % (30986)Termination reason: Time limit 9.24/1.56 % (30986)Termination phase: Saturation 9.24/1.56 9.24/1.56 % (30986)Memory used [KB]: 8315 9.24/1.56 % (30986)Time elapsed: 0.500 s 9.24/1.56 % (30986)------------------------------ 9.24/1.56 % (30986)------------------------------ 9.55/1.62 % (31025)lrs+4_5:4_av=off:bd=off:er=filter:lma=on:lwlo=on:nwc=1:stl=30:sp=occurrence:updr=off_230 on theBenchmark 11.80/1.82 % (31006)Time limit reached! 11.80/1.82 % (31006)------------------------------ 11.80/1.82 % (31006)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 11.80/1.82 % (31006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 11.80/1.82 % (31006)Termination reason: Time limit 11.80/1.82 % (31006)Termination phase: Saturation 11.80/1.82 11.80/1.82 % (31006)Memory used [KB]: 6652 11.80/1.82 % (31006)Time elapsed: 0.500 s 11.80/1.82 % (31006)------------------------------ 11.80/1.82 % (31006)------------------------------ 11.97/1.88 % (31038)lrs+1002_1_add=large:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_145 on theBenchmark 12.54/1.93 % (31038)Refutation not found, incomplete strategy% (31038)------------------------------ 12.54/1.93 % (31038)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 12.54/1.93 % (31038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 12.54/1.93 % (31038)Termination reason: Refutation not found, incomplete strategy 12.54/1.93 12.54/1.93 % (31038)Memory used [KB]: 6140 12.54/1.93 % (31038)Time elapsed: 0.049 s 12.54/1.93 % (31038)------------------------------ 12.54/1.93 % (31038)------------------------------ 13.07/1.98 % (31044)dis+1010_3:1_av=off:gsp=on:nm=6:nwc=1:sos=all:sp=occurrence_48 on theBenchmark 35.97/4.86 % (30933)Time limit reached! 35.97/4.86 % (30933)------------------------------ 35.97/4.86 % (30933)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 35.97/4.86 % (30933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 35.97/4.86 % (30933)Termination reason: Time limit 35.97/4.86 % (30933)Termination phase: Saturation 35.97/4.86 35.97/4.86 % (30933)Memory used [KB]: 26225 35.97/4.86 % (30933)Time elapsed: 4.400 s 35.97/4.86 % (30933)------------------------------ 35.97/4.86 % (30933)------------------------------ 36.27/4.92 % (31116)lrs+4_24_av=off:bd=preordered:bsr=on:irw=on:lma=on:lwlo=on:nm=64:newcnf=on:nwc=1.1:stl=30:sos=theory:updr=off:uhcvi=on_220 on theBenchmark 40.91/5.48 % (30934)Time limit reached! 40.91/5.48 % (30934)------------------------------ 40.91/5.48 % (30934)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 40.91/5.48 % (30934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 40.91/5.48 % (30934)Termination reason: Time limit 40.91/5.48 % (30934)Termination phase: Saturation 40.91/5.48 40.91/5.48 % (30934)Memory used [KB]: 11257 40.91/5.48 % (30934)Time elapsed: 5.0000 s 40.91/5.48 % (30934)------------------------------ 40.91/5.48 % (30934)------------------------------ 41.22/5.54 % (31128)dis+1010_5_add=large:afp=10000:afq=1.2:amm=off:bs=unit_only:bsr=on:bce=on:cond=fast:fsr=off:fde=none:gsp=on:gs=on:irw=on:lma=on:nm=4:newcnf=on:nwc=1.3:nicw=on:sos=all:sac=on:updr=off_34 on theBenchmark 52.50/6.98 % (31044)Time limit reached! 52.50/6.98 % (31044)------------------------------ 52.50/6.98 % (31044)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 52.50/6.98 % (31044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 52.50/6.98 % (31044)Termination reason: Time limit 52.50/6.98 % (31044)Termination phase: Saturation 52.50/6.98 52.50/6.98 % (31044)Memory used [KB]: 19061 52.50/6.98 % (31044)Time elapsed: 5.0000 s 52.50/6.98 % (31044)------------------------------ 52.50/6.98 % (31044)------------------------------ 53.07/7.04 % (31156)dis+11_1024_av=off:bd=off:bs=on:cond=on:gs=on:lma=on:nm=16:nwc=1:sp=occurrence:updr=off_98 on theBenchmark 69.98/9.12 % (31128)Time limit reached! 69.98/9.12 % (31128)------------------------------ 69.98/9.12 % (31128)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 69.98/9.12 % (31128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 69.98/9.12 % (31128)Termination reason: Time limit 69.98/9.12 % (31128)Termination phase: Saturation 69.98/9.12 69.98/9.12 % (31128)Memory used [KB]: 49252 69.98/9.12 % (31128)Time elapsed: 3.600 s 69.98/9.12 % (31128)------------------------------ 69.98/9.12 % (31128)------------------------------ 70.60/9.20 % (31186)lrs+3_64_add=large:afp=40000:afq=1.4:anc=none:bd=preordered:bsr=on:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:lcm=predicate:lma=on:lwlo=on:nm=16:newcnf=on:nwc=1.2:stl=90:sos=theory_285 on theBenchmark 74.71/9.80 % (30920)Time limit reached! 74.71/9.80 % (30920)------------------------------ 74.71/9.80 % (30920)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 74.71/9.80 % (30920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 74.71/9.80 % (30920)Termination reason: Time limit 74.71/9.80 % (30920)Termination phase: Saturation 74.71/9.80 74.71/9.80 % (30920)Memory used [KB]: 84689 74.71/9.80 % (30920)Time elapsed: 9.400 s 74.71/9.80 % (30920)------------------------------ 74.71/9.80 % (30920)------------------------------ 75.38/9.87 % (31196)ott+11_8:1_acc=model:afp=1000:afq=1.0:anc=none:bd=off:bsr=on:cond=on:gs=on:gsem=off:irw=on:lma=on:nm=16:nwc=1.5:sac=on:sp=occurrence:urr=on_104 on theBenchmark 85.19/11.10 % (30919)Time limit reached! 85.19/11.10 % (30919)------------------------------ 85.19/11.10 % (30919)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 85.19/11.10 % (30919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 85.19/11.10 % (30919)Termination reason: Time limit 85.19/11.10 % (30919)Termination phase: Saturation 85.19/11.10 85.19/11.10 % (30919)Memory used [KB]: 139315 85.19/11.10 % (30919)Time elapsed: 10.700 s 85.19/11.10 % (30919)------------------------------ 85.19/11.10 % (30919)------------------------------ 85.88/11.17 % (31214)dis+2_128_add=large:afp=100000:afq=1.4:amm=sco:anc=none:lma=on:nm=2:newcnf=on:nwc=1:nicw=on:sas=z3:sos=theory:sac=on:updr=off_288 on theBenchmark 132.70/17.04 % (31156)Time limit reached! 132.70/17.04 % (31156)------------------------------ 132.70/17.04 % (31156)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 132.70/17.04 % (31156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 132.70/17.04 % (31156)Termination reason: Time limit 132.70/17.04 % (31156)Termination phase: Saturation 132.70/17.04 132.70/17.04 % (31156)Memory used [KB]: 129720 132.70/17.04 % (31156)Time elapsed: 10.0000 s 132.70/17.04 % (31156)------------------------------ 132.70/17.04 % (31156)------------------------------ 133.45/17.11 % (31283)lrs+10_24_add=off:afr=on:afp=1000:afq=1.4:anc=none:bs=unit_only:gs=on:gsaa=from_current:gsem=on:lma=on:nm=2:nwc=1.1:stl=60:sac=on:uhcvi=on_364 on theBenchmark 139.14/17.86 % (31011)Time limit reached! 139.14/17.86 % (31011)------------------------------ 139.14/17.86 % (31011)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 139.14/17.86 % (31011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 139.14/17.86 % (31011)Termination reason: Time limit 139.14/17.86 % (31011)Termination phase: Saturation 139.14/17.86 139.14/17.86 % (31011)Memory used [KB]: 50020 139.14/17.86 % (31011)Time elapsed: 16.400 s 139.14/17.86 % (31011)------------------------------ 139.14/17.86 % (31011)------------------------------ 139.92/17.92 % (31289)lrs+1010_3:2_afr=on:afp=100000:afq=1.1:anc=none:gsp=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark 159.89/20.45 % (31196)Time limit reached! 159.89/20.45 % (31196)------------------------------ 159.89/20.45 % (31196)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 159.89/20.45 % (31196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 159.89/20.45 % (31196)Termination reason: Time limit 159.89/20.45 % (31196)Termination phase: Saturation 159.89/20.45 159.89/20.45 % (31196)Memory used [KB]: 62429 159.89/20.45 % (31196)Time elapsed: 10.600 s 159.89/20.45 % (31196)------------------------------ 159.89/20.45 % (31196)------------------------------ 159.89/20.48 % (30946)Time limit reached! 159.89/20.48 % (30946)------------------------------ 159.89/20.48 % (30946)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 159.89/20.48 % (30946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 159.89/20.48 % (30946)Termination reason: Time limit 159.89/20.48 % (30946)Termination phase: Saturation 159.89/20.48 159.89/20.48 % (30946)Memory used [KB]: 415387 159.89/20.48 % (30946)Time elapsed: 19.900 s 159.89/20.48 % (30946)------------------------------ 159.89/20.48 % (30946)------------------------------ 160.57/20.51 % (31293)lrs+1_4_afp=100000:afq=1.2:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark 160.57/20.58 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 160.57/20.58 % (31294)dis+1002_4_add=large:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sas=z3:sp=reverse_arity:tha=off:thi=strong_300 on theBenchmark 194.73/24.82 % (31025)Time limit reached! 194.73/24.82 % (31025)------------------------------ 194.73/24.82 % (31025)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 194.73/24.82 % (31025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 194.73/24.82 % (31025)Termination reason: Time limit 194.73/24.82 % (31025)Termination phase: Saturation 194.73/24.82 194.73/24.82 % (31025)Memory used [KB]: 131255 194.73/24.82 % (31025)Time elapsed: 23.200 s 194.73/24.82 % (31025)------------------------------ 194.73/24.82 % (31025)------------------------------ 194.73/24.86 % (31538)lrs+1011_2:1_av=off:irw=on:lwlo=on:nm=16:newcnf=on:nwc=2:sd=4:ss=axioms:st=3.0:sp=occurrence_300 on theBenchmark 213.04/27.12 % (31116)Time limit reached! 213.04/27.12 % (31116)------------------------------ 213.04/27.12 % (31116)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 213.04/27.12 % (31116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 213.04/27.12 % (31116)Termination reason: Time limit 213.04/27.12 % (31116)Termination phase: Saturation 213.04/27.12 213.04/27.12 % (31116)Memory used [KB]: 185498 213.04/27.12 % (31116)Time elapsed: 22.200 s 213.04/27.12 % (31116)------------------------------ 213.04/27.12 % (31116)------------------------------ 213.04/27.16 % (31539)lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:sp=occurrence_300 on theBenchmark 245.98/31.23 % (31294)First to succeed. 252.23/32.08 % (31294)Refutation found. Thanks to Tanya! 252.23/32.08 % SZS status Theorem for theBenchmark 252.23/32.08 % SZS output start Proof for theBenchmark 252.23/32.08 fof(f29288,plain,( 252.23/32.08 $false), 252.23/32.08 inference(avatar_smt_refutation,[],[f48,f53,f58,f65,f96,f121,f245,f260,f537,f552,f880,f1690,f1938,f1942,f1946,f1947,f1954,f1958,f1962,f1964,f1969,f1974,f1979,f2288,f2305,f3482,f3496,f3505,f3508,f3521,f3525,f3529,f3533,f3615,f3632,f3633,f3938,f3940,f3949,f4339,f4341,f4860,f6233,f6235,f7654,f7670,f7683,f7693,f7711,f7750,f7800,f8039,f8173,f8595,f8874,f8970,f8979,f9095,f9108,f9217,f9226,f9336,f9362,f9395,f9411,f9427,f9434,f10400,f10404,f10408,f10412,f10416,f10417,f10419,f10420,f10421,f10422,f10423,f10428,f10429,f10434,f10437,f10438,f10439,f10444,f10448,f10452,f10455,f10456,f10457,f10459,f10460,f10461,f10466,f10469,f10470,f10471,f10473,f10474,f10475,f10480,f10485,f10486,f10487,f10489,f10493,f10494,f10495,f10497,f10504,f10505,f10506,f10508,f10690,f10697,f10877,f10892,f11114,f11123,f11233,f11303,f11916,f12397,f12704,f12888,f12910,f12929,f13190,f13199,f13503,f14958,f15204,f15216,f15228,f16243,f16245,f18273,f18288,f18289,f19958,f20390,f20555,f20570,f20587,f20612,f20895,f20904,f21356,f22897,f23066,f23075,f23084,f23091,f23100,f23102,f23107,f23109,f23114,f23119,f23121,f23391,f23397,f23403,f23500,f23509,f23515,f23517,f23519,f23521,f23523,f23525,f23527,f23530,f23533,f23561,f23563,f23565,f23567,f23569,f23571,f23574,f23577,f23580,f23582,f23584,f23586,f23588,f23591,f23594,f23599,f23601,f23603,f23608,f23611,f23614,f23617,f23619,f23621,f23624,f23627,f23630,f23633,f23636,f23639,f23642,f23646,f23650,f23654,f23658,f23662,f23666,f23670,f23674,f23678,f23682,f23686,f23690,f23694,f23698,f23702,f23706,f23711,f23716,f23721,f23726,f23731,f23736,f23741,f23746,f23751,f23754,f23763,f23764,f26040,f27104,f27800,f28910,f28931,f29125,f29159,f29278,f29287])). 252.23/32.08 fof(f29287,plain,( 252.23/32.08 ~spl3_3 | ~spl3_7), 252.23/32.08 inference(avatar_contradiction_clause,[],[f29286])). 252.23/32.08 fof(f29286,plain,( 252.23/32.08 $false | (~spl3_3 | ~spl3_7)), 252.23/32.08 inference(subsumption_resolution,[],[f29279,f57])). 252.23/32.08 fof(f57,plain,( 252.23/32.08 transitive_reflexive_rewrite(a,c) | ~spl3_3), 252.23/32.08 inference(avatar_component_clause,[],[f55])). 252.23/32.08 fof(f55,plain,( 252.23/32.08 spl3_3 <=> transitive_reflexive_rewrite(a,c)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_3])])). 252.23/32.08 fof(f29279,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(a,c) | ~spl3_7), 252.23/32.08 inference(resolution,[],[f23766,f43])). 252.23/32.08 fof(f43,plain,( 252.23/32.08 ( ! [X1] : (transitive_reflexive_rewrite(X1,X1)) )), 252.23/32.08 inference(equality_resolution,[],[f34])). 252.23/32.08 fof(f34,plain,( 252.23/32.08 ( ! [X0,X1] : (transitive_reflexive_rewrite(X0,X1) | X0 != X1) )), 252.23/32.08 inference(cnf_transformation,[],[f14])). 252.23/32.08 fof(f14,plain,( 252.23/32.08 ! [X0,X1] : (transitive_reflexive_rewrite(X0,X1) | X0 != X1)), 252.23/32.08 inference(ennf_transformation,[],[f7])). 252.23/32.08 fof(f7,axiom,( 252.23/32.08 ! [X0,X1] : (X0 = X1 => transitive_reflexive_rewrite(X0,X1))), 252.23/32.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality_in_transitive_reflexive_rewrite)). 252.23/32.08 fof(f23766,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(a,X0)) ) | ~spl3_7), 252.23/32.08 inference(backward_demodulation,[],[f59,f240])). 252.23/32.08 fof(f240,plain,( 252.23/32.08 a = b | ~spl3_7), 252.23/32.08 inference(avatar_component_clause,[],[f238])). 252.23/32.08 fof(f238,plain,( 252.23/32.08 spl3_7 <=> a = b), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_7])])). 252.23/32.08 fof(f59,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(c,X0)) )), 252.23/32.08 inference(global_subsumption,[],[f30,f33])). 252.23/32.08 fof(f33,plain,( 252.23/32.08 ( ! [X0] : (goal | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(b,X0)) )), 252.23/32.08 inference(cnf_transformation,[],[f13])). 252.23/32.08 fof(f13,plain,( 252.23/32.08 ! [X0] : (goal | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(b,X0))), 252.23/32.08 inference(flattening,[],[f12])). 252.23/32.08 fof(f12,plain,( 252.23/32.08 ! [X0] : (goal | (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(b,X0)))), 252.23/32.08 inference(ennf_transformation,[],[f6])). 252.23/32.08 fof(f6,axiom,( 252.23/32.08 ! [X0] : ((transitive_reflexive_rewrite(c,X0) & transitive_reflexive_rewrite(b,X0)) => goal)), 252.23/32.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',found)). 252.23/32.08 fof(f30,plain,( 252.23/32.08 ~goal), 252.23/32.08 inference(cnf_transformation,[],[f11])). 252.23/32.08 fof(f11,plain,( 252.23/32.08 ~goal), 252.23/32.08 inference(flattening,[],[f3])). 252.23/32.08 fof(f3,negated_conjecture,( 252.23/32.08 ~goal), 252.23/32.08 inference(negated_conjecture,[],[f2])). 252.23/32.08 fof(f2,conjecture,( 252.23/32.08 goal), 252.23/32.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved)). 252.23/32.08 fof(f29278,plain,( 252.23/32.08 ~spl3_162 | ~spl3_7 | spl3_33), 252.23/32.08 inference(avatar_split_clause,[],[f29273,f3489,f238,f29275])). 252.23/32.08 fof(f29275,plain,( 252.23/32.08 spl3_162 <=> rewrite(a,sK0(a,a))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_162])])). 252.23/32.08 fof(f3489,plain,( 252.23/32.08 spl3_33 <=> rewrite(a,sK0(a,b))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_33])])). 252.23/32.08 fof(f29273,plain,( 252.23/32.08 ~rewrite(a,sK0(a,a)) | (~spl3_7 | spl3_33)), 252.23/32.08 inference(forward_demodulation,[],[f3491,f240])). 252.23/32.08 fof(f3491,plain,( 252.23/32.08 ~rewrite(a,sK0(a,b)) | spl3_33), 252.23/32.08 inference(avatar_component_clause,[],[f3489])). 252.23/32.08 fof(f29159,plain,( 252.23/32.08 ~spl3_161 | ~spl3_7 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f25770,f13492,f238,f29156])). 252.23/32.08 fof(f29156,plain,( 252.23/32.08 spl3_161 <=> transitive_reflexive_rewrite(a,sK2(c,sK0(a,a)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_161])])). 252.23/32.08 fof(f13492,plain,( 252.23/32.08 spl3_105 <=> transitive_reflexive_rewrite(a,sK2(c,sK0(a,b)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_105])])). 252.23/32.08 fof(f25770,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(a,sK2(c,sK0(a,a))) | (~spl3_7 | spl3_105)), 252.23/32.08 inference(backward_demodulation,[],[f13494,f240])). 252.23/32.08 fof(f13494,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(a,sK2(c,sK0(a,b))) | spl3_105), 252.23/32.08 inference(avatar_component_clause,[],[f13492])). 252.23/32.08 fof(f29125,plain,( 252.23/32.08 ~spl3_160 | ~spl3_7 | spl3_96), 252.23/32.08 inference(avatar_split_clause,[],[f25707,f11910,f238,f29122])). 252.23/32.08 fof(f29122,plain,( 252.23/32.08 spl3_160 <=> rewrite(sK0(a,a),c)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_160])])). 252.23/32.08 fof(f11910,plain,( 252.23/32.08 spl3_96 <=> rewrite(sK0(a,b),c)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_96])])). 252.23/32.08 fof(f25707,plain,( 252.23/32.08 ~rewrite(sK0(a,a),c) | (~spl3_7 | spl3_96)), 252.23/32.08 inference(backward_demodulation,[],[f11912,f240])). 252.23/32.08 fof(f11912,plain,( 252.23/32.08 ~rewrite(sK0(a,b),c) | spl3_96), 252.23/32.08 inference(avatar_component_clause,[],[f11910])). 252.23/32.08 fof(f28931,plain,( 252.23/32.08 ~spl3_159 | ~spl3_7 | spl3_58), 252.23/32.08 inference(avatar_split_clause,[],[f25604,f8170,f238,f28928])). 252.23/32.08 fof(f28928,plain,( 252.23/32.08 spl3_159 <=> transitive_reflexive_rewrite(sK0(a,sK0(a,a)),c)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_159])])). 252.23/32.08 fof(f8170,plain,( 252.23/32.08 spl3_58 <=> transitive_reflexive_rewrite(sK0(a,sK0(a,b)),c)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_58])])). 252.23/32.08 fof(f25604,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,sK0(a,a)),c) | (~spl3_7 | spl3_58)), 252.23/32.08 inference(backward_demodulation,[],[f8172,f240])). 252.23/32.08 fof(f8172,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,sK0(a,b)),c) | spl3_58), 252.23/32.08 inference(avatar_component_clause,[],[f8170])). 252.23/32.08 fof(f28910,plain,( 252.23/32.08 ~spl3_158 | ~spl3_7 | spl3_49), 252.23/32.08 inference(avatar_split_clause,[],[f25599,f7663,f238,f28907])). 252.23/32.08 fof(f28907,plain,( 252.23/32.08 spl3_158 <=> rewrite(a,sK2(c,sK0(a,a)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_158])])). 252.23/32.08 fof(f7663,plain,( 252.23/32.08 spl3_49 <=> rewrite(a,sK2(c,sK0(a,b)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_49])])). 252.23/32.08 fof(f25599,plain,( 252.23/32.08 ~rewrite(a,sK2(c,sK0(a,a))) | (~spl3_7 | spl3_49)), 252.23/32.08 inference(backward_demodulation,[],[f7665,f240])). 252.23/32.08 fof(f7665,plain,( 252.23/32.08 ~rewrite(a,sK2(c,sK0(a,b))) | spl3_49), 252.23/32.08 inference(avatar_component_clause,[],[f7663])). 252.23/32.08 fof(f27800,plain,( 252.23/32.08 ~spl3_157 | ~spl3_7 | spl3_36), 252.23/32.08 inference(avatar_split_clause,[],[f25073,f3502,f238,f27797])). 252.23/32.08 fof(f27797,plain,( 252.23/32.08 spl3_157 <=> transitive_reflexive_rewrite(sK1(sK0(a,a),c),a)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_157])])). 252.23/32.08 fof(f3502,plain,( 252.23/32.08 spl3_36 <=> transitive_reflexive_rewrite(sK1(sK0(a,b),c),b)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_36])])). 252.23/32.08 fof(f25073,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK1(sK0(a,a),c),a) | (~spl3_7 | spl3_36)), 252.23/32.08 inference(backward_demodulation,[],[f3504,f240])). 252.23/32.08 fof(f3504,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK1(sK0(a,b),c),b) | spl3_36), 252.23/32.08 inference(avatar_component_clause,[],[f3502])). 252.23/32.08 fof(f27104,plain,( 252.23/32.08 ~spl3_156 | ~spl3_7 | spl3_29), 252.23/32.08 inference(avatar_split_clause,[],[f24701,f2299,f238,f27101])). 252.23/32.08 fof(f27101,plain,( 252.23/32.08 spl3_156 <=> transitive_reflexive_rewrite(c,sK0(a,a))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_156])])). 252.23/32.08 fof(f2299,plain,( 252.23/32.08 spl3_29 <=> transitive_reflexive_rewrite(c,sK0(a,b))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_29])])). 252.23/32.08 fof(f24701,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(c,sK0(a,a)) | (~spl3_7 | spl3_29)), 252.23/32.08 inference(backward_demodulation,[],[f2301,f240])). 252.23/32.08 fof(f2301,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(c,sK0(a,b)) | spl3_29), 252.23/32.08 inference(avatar_component_clause,[],[f2299])). 252.23/32.08 fof(f26040,plain,( 252.23/32.08 ~spl3_155 | ~spl3_7 | spl3_8), 252.23/32.08 inference(avatar_split_clause,[],[f23878,f242,f238,f26037])). 252.23/32.08 fof(f26037,plain,( 252.23/32.08 spl3_155 <=> transitive_reflexive_rewrite(sK0(a,a),c)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_155])])). 252.23/32.08 fof(f242,plain,( 252.23/32.08 spl3_8 <=> transitive_reflexive_rewrite(sK0(a,b),c)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_8])])). 252.23/32.08 fof(f23878,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,a),c) | (~spl3_7 | spl3_8)), 252.23/32.08 inference(backward_demodulation,[],[f244,f240])). 252.23/32.08 fof(f244,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,b),c) | spl3_8), 252.23/32.08 inference(avatar_component_clause,[],[f242])). 252.23/32.08 fof(f23764,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_33), 252.23/32.08 inference(avatar_split_clause,[],[f3507,f3489,f50,f238])). 252.23/32.08 fof(f50,plain,( 252.23/32.08 spl3_2 <=> transitive_reflexive_rewrite(a,b)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_2])])). 252.23/32.08 fof(f3507,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_33)), 252.23/32.08 inference(subsumption_resolution,[],[f3506,f52])). 252.23/32.08 fof(f52,plain,( 252.23/32.08 transitive_reflexive_rewrite(a,b) | ~spl3_2), 252.23/32.08 inference(avatar_component_clause,[],[f50])). 252.23/32.08 fof(f3506,plain,( 252.23/32.08 a = b | ~transitive_reflexive_rewrite(a,b) | spl3_33), 252.23/32.08 inference(resolution,[],[f3491,f36])). 252.23/32.08 fof(f36,plain,( 252.23/32.08 ( ! [X0,X1] : (rewrite(X0,sK0(X0,X1)) | X0 = X1 | ~transitive_reflexive_rewrite(X0,X1)) )), 252.23/32.08 inference(cnf_transformation,[],[f25])). 252.23/32.08 fof(f25,plain,( 252.23/32.08 ! [X0,X1] : ((transitive_reflexive_rewrite(sK0(X0,X1),X1) & rewrite(X0,sK0(X0,X1))) | X0 = X1 | ~transitive_reflexive_rewrite(X0,X1))), 252.23/32.08 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f24])). 252.23/32.08 fof(f24,plain,( 252.23/32.08 ! [X0,X1] : (? [X2] : (transitive_reflexive_rewrite(X2,X1) & rewrite(X0,X2)) => (transitive_reflexive_rewrite(sK0(X0,X1),X1) & rewrite(X0,sK0(X0,X1))))), 252.23/32.08 introduced(choice_axiom,[])). 252.23/32.08 fof(f17,plain,( 252.23/32.08 ! [X0,X1] : (? [X2] : (transitive_reflexive_rewrite(X2,X1) & rewrite(X0,X2)) | X0 = X1 | ~transitive_reflexive_rewrite(X0,X1))), 252.23/32.08 inference(flattening,[],[f16])). 252.23/32.08 fof(f16,plain,( 252.23/32.08 ! [X0,X1] : ((? [X2] : (transitive_reflexive_rewrite(X2,X1) & rewrite(X0,X2)) | X0 = X1) | ~transitive_reflexive_rewrite(X0,X1))), 252.23/32.08 inference(ennf_transformation,[],[f10])). 252.23/32.08 fof(f10,axiom,( 252.23/32.08 ! [X0,X1] : (transitive_reflexive_rewrite(X0,X1) => (? [X2] : (transitive_reflexive_rewrite(X2,X1) & rewrite(X0,X2)) | X0 = X1))), 252.23/32.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_or_rewrite)). 252.23/32.08 fof(f23763,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f3524,f3493,f50,f238])). 252.23/32.08 fof(f3493,plain,( 252.23/32.08 spl3_34 <=> transitive_reflexive_rewrite(sK0(a,b),b)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_34])])). 252.23/32.08 fof(f3524,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f3522,f52])). 252.23/32.08 fof(f3522,plain,( 252.23/32.08 a = b | ~transitive_reflexive_rewrite(a,b) | spl3_34), 252.23/32.08 inference(resolution,[],[f3495,f37])). 252.23/32.08 fof(f37,plain,( 252.23/32.08 ( ! [X0,X1] : (transitive_reflexive_rewrite(sK0(X0,X1),X1) | X0 = X1 | ~transitive_reflexive_rewrite(X0,X1)) )), 252.23/32.08 inference(cnf_transformation,[],[f25])). 252.23/32.08 fof(f3495,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,b),b) | spl3_34), 252.23/32.08 inference(avatar_component_clause,[],[f3493])). 252.23/32.08 fof(f23754,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23753,f3493,f50,f238])). 252.23/32.08 fof(f23753,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f23750])). 252.23/32.08 fof(f23750,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f23710])). 252.23/32.08 fof(f23710,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f23641])). 252.23/32.08 fof(f23641,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23751,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23750,f3493,f50,f238])). 252.23/32.08 fof(f23746,plain,( 252.23/32.08 spl3_11 | spl3_154 | ~spl3_3 | spl3_53), 252.23/32.08 inference(avatar_split_clause,[],[f23742,f7708,f55,f23744,f534])). 252.23/32.08 fof(f534,plain,( 252.23/32.08 spl3_11 <=> a = c), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_11])])). 252.23/32.08 fof(f23744,plain,( 252.23/32.08 spl3_154 <=> ! [X0,X1] : (~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X1,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_154])])). 252.23/32.08 fof(f7708,plain,( 252.23/32.08 spl3_53 <=> transitive_reflexive_rewrite(sK0(a,c),a)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_53])])). 252.23/32.08 fof(f23742,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X1,X0) | a = c) ) | (~spl3_3 | spl3_53)), 252.23/32.08 inference(subsumption_resolution,[],[f7731,f57])). 252.23/32.08 fof(f7731,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X1,X0) | a = c | ~transitive_reflexive_rewrite(a,c)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f7725,f37])). 252.23/32.08 fof(f7725,plain,( 252.23/32.08 ( ! [X2,X3,X4] : (~transitive_reflexive_rewrite(sK0(a,c),X4) | ~transitive_reflexive_rewrite(X3,a) | ~transitive_reflexive_rewrite(X4,X2) | ~transitive_reflexive_rewrite(X2,X3)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f7717,f42])). 252.23/32.08 fof(f42,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X1)) )), 252.23/32.08 inference(cnf_transformation,[],[f23])). 252.23/32.08 fof(f23,plain,( 252.23/32.08 ! [X0,X1,X2] : (transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X1))), 252.23/32.08 inference(flattening,[],[f22])). 252.23/32.08 fof(f22,plain,( 252.23/32.08 ! [X0,X1,X2] : (transitive_reflexive_rewrite(X0,X2) | (~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X1)))), 252.23/32.08 inference(ennf_transformation,[],[f1])). 252.23/32.08 fof(f1,axiom,( 252.23/32.08 ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X1,X2) & transitive_reflexive_rewrite(X0,X1)) => transitive_reflexive_rewrite(X0,X2))), 252.23/32.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite)). 252.23/32.08 fof(f7717,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK0(a,c),X1) | ~transitive_reflexive_rewrite(X1,X0) | ~transitive_reflexive_rewrite(X0,a)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f7712,f42])). 252.23/32.08 fof(f7712,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(sK0(a,c),X0) | ~transitive_reflexive_rewrite(X0,a)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f7710,f42])). 252.23/32.08 fof(f7710,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,c),a) | spl3_53), 252.23/32.08 inference(avatar_component_clause,[],[f7708])). 252.23/32.08 fof(f23741,plain,( 252.23/32.08 spl3_11 | spl3_153 | ~spl3_3 | spl3_53), 252.23/32.08 inference(avatar_split_clause,[],[f23737,f7708,f55,f23739,f534])). 252.23/32.08 fof(f23739,plain,( 252.23/32.08 spl3_153 <=> ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,a) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X1,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_153])])). 252.23/32.08 fof(f23737,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X2,a) | a = c) ) | (~spl3_3 | spl3_53)), 252.23/32.08 inference(subsumption_resolution,[],[f7756,f57])). 252.23/32.08 fof(f7756,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X2,a) | a = c | ~transitive_reflexive_rewrite(a,c)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f7733,f37])). 252.23/32.08 fof(f7733,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,c),X7) | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(X6,X4) | ~transitive_reflexive_rewrite(X7,X5) | ~transitive_reflexive_rewrite(X4,a)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f7725,f42])). 252.23/32.08 fof(f23736,plain,( 252.23/32.08 spl3_11 | spl3_152 | ~spl3_3 | spl3_53), 252.23/32.08 inference(avatar_split_clause,[],[f23732,f7708,f55,f23734,f534])). 252.23/32.08 fof(f23734,plain,( 252.23/32.08 spl3_152 <=> ! [X0,X3,X2,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,a) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X3,X0) | ~transitive_reflexive_rewrite(c,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_152])])). 252.23/32.08 fof(f23732,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X1,a) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X3,X0) | a = c) ) | (~spl3_3 | spl3_53)), 252.23/32.08 inference(subsumption_resolution,[],[f7814,f57])). 252.23/32.08 fof(f7814,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X1,a) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X3,X0) | a = c | ~transitive_reflexive_rewrite(a,c)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f7758,f37])). 252.23/32.08 fof(f7758,plain,( 252.23/32.08 ( ! [X10,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(sK0(a,c),X10) | ~transitive_reflexive_rewrite(X7,X8) | ~transitive_reflexive_rewrite(X9,X6) | ~transitive_reflexive_rewrite(X8,a) | ~transitive_reflexive_rewrite(X10,X9) | ~transitive_reflexive_rewrite(X6,X7)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f7733,f42])). 252.23/32.08 fof(f23731,plain,( 252.23/32.08 spl3_11 | spl3_151 | ~spl3_3 | spl3_53), 252.23/32.08 inference(avatar_split_clause,[],[f23727,f7708,f55,f23729,f534])). 252.23/32.08 fof(f23729,plain,( 252.23/32.08 spl3_151 <=> ! [X4,X0,X3,X2,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X4,X2) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(X3,X0) | ~transitive_reflexive_rewrite(X2,a))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_151])])). 252.23/32.08 fof(f23727,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,a) | ~transitive_reflexive_rewrite(X3,X0) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X4,X2) | a = c) ) | (~spl3_3 | spl3_53)), 252.23/32.08 inference(subsumption_resolution,[],[f8095,f57])). 252.23/32.08 fof(f8095,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,a) | ~transitive_reflexive_rewrite(X3,X0) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X4,X2) | a = c | ~transitive_reflexive_rewrite(a,c)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f7816,f37])). 252.23/32.08 fof(f7816,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12,X13] : (~transitive_reflexive_rewrite(sK0(a,c),X13) | ~transitive_reflexive_rewrite(X10,X11) | ~transitive_reflexive_rewrite(X9,a) | ~transitive_reflexive_rewrite(X12,X10) | ~transitive_reflexive_rewrite(X11,X8) | ~transitive_reflexive_rewrite(X13,X12) | ~transitive_reflexive_rewrite(X8,X9)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f7758,f42])). 252.23/32.08 fof(f23726,plain,( 252.23/32.08 spl3_11 | spl3_150 | ~spl3_3 | spl3_53), 252.23/32.08 inference(avatar_split_clause,[],[f23722,f7708,f55,f23724,f534])). 252.23/32.08 fof(f23724,plain,( 252.23/32.08 spl3_150 <=> ! [X5,X4,X0,X3,X2,X1] : (~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X4,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X5,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_150])])). 252.23/32.08 fof(f23722,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X5,X1) | ~transitive_reflexive_rewrite(X4,X0) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X2,X3) | a = c) ) | (~spl3_3 | spl3_53)), 252.23/32.08 inference(subsumption_resolution,[],[f8794,f57])). 252.23/32.08 fof(f8794,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X5,X1) | ~transitive_reflexive_rewrite(X4,X0) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X2,X3) | a = c | ~transitive_reflexive_rewrite(a,c)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f8097,f37])). 252.23/32.08 fof(f8097,plain,( 252.23/32.08 ( ! [X10,X11,X16,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(sK0(a,c),X16) | ~transitive_reflexive_rewrite(X12,a) | ~transitive_reflexive_rewrite(X13,X10) | ~transitive_reflexive_rewrite(X11,X14) | ~transitive_reflexive_rewrite(X15,X13) | ~transitive_reflexive_rewrite(X14,X12) | ~transitive_reflexive_rewrite(X16,X15) | ~transitive_reflexive_rewrite(X10,X11)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f7816,f42])). 252.23/32.08 fof(f23721,plain,( 252.23/32.08 spl3_11 | spl3_149 | ~spl3_3 | spl3_53), 252.23/32.08 inference(avatar_split_clause,[],[f23717,f7708,f55,f23719,f534])). 252.23/32.08 fof(f23719,plain,( 252.23/32.08 spl3_149 <=> ! [X2,X6,X4,X3,X0,X5,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X5,a) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X6,X4) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(X4,X0) | ~transitive_reflexive_rewrite(X2,X3))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_149])])). 252.23/32.08 fof(f23717,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X6,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X4,X0) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(X6,X4) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(X5,a) | a = c) ) | (~spl3_3 | spl3_53)), 252.23/32.08 inference(subsumption_resolution,[],[f11742,f57])). 252.23/32.08 fof(f11742,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X6,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X4,X0) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(X6,X4) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(X5,a) | a = c | ~transitive_reflexive_rewrite(a,c)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f8796,f37])). 252.23/32.08 fof(f8796,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15,X12,X13] : (~transitive_reflexive_rewrite(sK0(a,c),X19) | ~transitive_reflexive_rewrite(X13,X14) | ~transitive_reflexive_rewrite(X15,X16) | ~transitive_reflexive_rewrite(X17,X13) | ~transitive_reflexive_rewrite(X16,X12) | ~transitive_reflexive_rewrite(X18,X17) | ~transitive_reflexive_rewrite(X14,X15) | ~transitive_reflexive_rewrite(X19,X18) | ~transitive_reflexive_rewrite(X12,a)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f8097,f42])). 252.23/32.08 fof(f23716,plain,( 252.23/32.08 spl3_11 | spl3_148 | ~spl3_3 | spl3_53), 252.23/32.08 inference(avatar_split_clause,[],[f23712,f7708,f55,f23714,f534])). 252.23/32.08 fof(f23714,plain,( 252.23/32.08 spl3_148 <=> ! [X2,X3,X4,X0,X6,X5,X1,X7] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(X6,X0) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X3,X6) | ~transitive_reflexive_rewrite(c,X7) | ~transitive_reflexive_rewrite(X7,X5) | ~transitive_reflexive_rewrite(X5,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_148])])). 252.23/32.08 fof(f23712,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(X5,X2) | ~transitive_reflexive_rewrite(X6,X0) | ~transitive_reflexive_rewrite(X7,X5) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(c,X7) | ~transitive_reflexive_rewrite(X3,X6) | a = c) ) | (~spl3_3 | spl3_53)), 252.23/32.08 inference(subsumption_resolution,[],[f15966,f57])). 252.23/32.08 fof(f15966,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(X5,X2) | ~transitive_reflexive_rewrite(X6,X0) | ~transitive_reflexive_rewrite(X7,X5) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(c,X7) | ~transitive_reflexive_rewrite(X3,X6) | a = c | ~transitive_reflexive_rewrite(a,c)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f11744,f37])). 252.23/32.08 fof(f11744,plain,( 252.23/32.08 ( ! [X21,X18,X19,X16,X14,X17,X15,X22,X20] : (~transitive_reflexive_rewrite(sK0(a,c),X22) | ~transitive_reflexive_rewrite(X16,X17) | ~transitive_reflexive_rewrite(X18,X14) | ~transitive_reflexive_rewrite(X17,X19) | ~transitive_reflexive_rewrite(X20,X18) | ~transitive_reflexive_rewrite(X15,X16) | ~transitive_reflexive_rewrite(X21,X20) | ~transitive_reflexive_rewrite(X19,a) | ~transitive_reflexive_rewrite(X22,X21) | ~transitive_reflexive_rewrite(X14,X15)) ) | spl3_53), 252.23/32.08 inference(resolution,[],[f8796,f42])). 252.23/32.08 fof(f23711,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23710,f3493,f50,f238])). 252.23/32.08 fof(f23706,plain,( 252.23/32.08 spl3_47 | spl3_147 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13517,f13492,f23704,f7649])). 252.23/32.08 fof(f7649,plain,( 252.23/32.08 spl3_47 <=> ! [X2] : (~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,c) | ~transitive_reflexive_rewrite(X2,sK0(a,b)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_47])])). 252.23/32.08 fof(f23704,plain,( 252.23/32.08 spl3_147 <=> ! [X0] : (~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,sK0(a,b)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_147])])). 252.23/32.08 fof(f13517,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13508,f40])). 252.23/32.08 fof(f40,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X2,sK2(X1,X2)) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1)) )), 252.23/32.08 inference(cnf_transformation,[],[f29])). 252.23/32.08 fof(f29,plain,( 252.23/32.08 ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X1,sK2(X1,X2)) & transitive_reflexive_rewrite(X2,sK2(X1,X2))) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1))), 252.23/32.08 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f21,f28])). 252.23/32.08 fof(f28,plain,( 252.23/32.08 ! [X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)) => (transitive_reflexive_rewrite(X1,sK2(X1,X2)) & transitive_reflexive_rewrite(X2,sK2(X1,X2))))), 252.23/32.08 introduced(choice_axiom,[])). 252.23/32.08 fof(f21,plain,( 252.23/32.08 ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1))), 252.23/32.08 inference(flattening,[],[f20])). 252.23/32.08 fof(f20,plain,( 252.23/32.08 ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)) | (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1)))), 252.23/32.08 inference(ennf_transformation,[],[f9])). 252.23/32.08 fof(f9,axiom,( 252.23/32.08 ! [X0,X1,X2] : ((rewrite(a,X0) & transitive_reflexive_rewrite(X0,X2) & transitive_reflexive_rewrite(X0,X1)) => ? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)))), 252.23/32.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ih_cfl)). 252.23/32.08 fof(f13508,plain,( 252.23/32.08 ( ! [X2,X3] : (~transitive_reflexive_rewrite(X3,sK2(c,sK0(a,b))) | ~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,X3)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13504,f42])). 252.23/32.08 fof(f13504,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(X0,sK2(c,sK0(a,b))) | ~transitive_reflexive_rewrite(a,X0)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13494,f42])). 252.23/32.08 fof(f23702,plain,( 252.23/32.08 spl3_47 | spl3_146 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13518,f13492,f23700,f7649])). 252.23/32.08 fof(f23700,plain,( 252.23/32.08 spl3_146 <=> ! [X2] : (~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_146])])). 252.23/32.08 fof(f13518,plain,( 252.23/32.08 ( ! [X2,X3] : (~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,c) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,sK0(a,b)) | ~transitive_reflexive_rewrite(X3,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13508,f41])). 252.23/32.08 fof(f41,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X1,sK2(X1,X2)) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1)) )), 252.23/32.08 inference(cnf_transformation,[],[f29])). 252.23/32.08 fof(f23698,plain,( 252.23/32.08 spl3_47 | spl3_145 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13522,f13492,f23696,f7649])). 252.23/32.08 fof(f23696,plain,( 252.23/32.08 spl3_145 <=> ! [X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(a,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_145])])). 252.23/32.08 fof(f13522,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,sK0(a,b)) | ~transitive_reflexive_rewrite(X2,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13520,f40])). 252.23/32.08 fof(f13520,plain,( 252.23/32.08 ( ! [X6,X7,X5] : (~transitive_reflexive_rewrite(X7,sK2(c,sK0(a,b))) | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(a,X5) | ~transitive_reflexive_rewrite(X6,X7)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13508,f42])). 252.23/32.08 fof(f23694,plain,( 252.23/32.08 spl3_47 | spl3_144 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13523,f13492,f23692,f7649])). 252.23/32.08 fof(f23692,plain,( 252.23/32.08 spl3_144 <=> ! [X4,X3] : (~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X4,c) | ~transitive_reflexive_rewrite(a,X3))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_144])])). 252.23/32.08 fof(f13523,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(X4,c) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(X5,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13520,f41])). 252.23/32.08 fof(f23690,plain,( 252.23/32.08 spl3_47 | spl3_143 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13527,f13492,f23688,f7649])). 252.23/32.08 fof(f23688,plain,( 252.23/32.08 spl3_143 <=> ! [X2,X0,X1] : (~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X2,sK0(a,b)) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_143])])). 252.23/32.08 fof(f13527,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,sK0(a,b)) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,sK0(a,b)) | ~transitive_reflexive_rewrite(X3,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13525,f40])). 252.23/32.08 fof(f13525,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9] : (~transitive_reflexive_rewrite(X11,sK2(c,sK0(a,b))) | ~transitive_reflexive_rewrite(a,X8) | ~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(X8,X9) | ~transitive_reflexive_rewrite(X10,X11)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13520,f42])). 252.23/32.08 fof(f23686,plain,( 252.23/32.08 spl3_47 | spl3_142 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13528,f13492,f23684,f7649])). 252.23/32.08 fof(f23684,plain,( 252.23/32.08 spl3_142 <=> ! [X6,X4,X5] : (~transitive_reflexive_rewrite(a,X4) | ~transitive_reflexive_rewrite(X6,c) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X5,X6))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_142])])). 252.23/32.08 fof(f13528,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(a,X4) | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X6,c) | ~rewrite(a,X7) | ~transitive_reflexive_rewrite(X7,sK0(a,b)) | ~transitive_reflexive_rewrite(X7,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13525,f41])). 252.23/32.08 fof(f23682,plain,( 252.23/32.08 spl3_47 | spl3_141 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13532,f13492,f23680,f7649])). 252.23/32.08 fof(f23680,plain,( 252.23/32.08 spl3_141 <=> ! [X0,X3,X2,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X3,sK0(a,b)) | ~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(X2,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_141])])). 252.23/32.08 fof(f13532,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X0) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X3,sK0(a,b)) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(X4,sK0(a,b)) | ~transitive_reflexive_rewrite(X4,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13530,f40])). 252.23/32.08 fof(f13530,plain,( 252.23/32.08 ( ! [X11,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(X15,sK2(c,sK0(a,b))) | ~transitive_reflexive_rewrite(X12,X13) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(X13,X14) | ~transitive_reflexive_rewrite(a,X11) | ~transitive_reflexive_rewrite(X14,X15)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13525,f42])). 252.23/32.08 fof(f23678,plain,( 252.23/32.08 spl3_47 | spl3_140 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13533,f13492,f23676,f7649])). 252.23/32.08 fof(f23676,plain,( 252.23/32.08 spl3_140 <=> ! [X5,X7,X6,X8] : (~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(X8,c) | ~transitive_reflexive_rewrite(a,X7) | ~transitive_reflexive_rewrite(X6,X8) | ~transitive_reflexive_rewrite(X7,X5))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_140])])). 252.23/32.08 fof(f13533,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(X7,X5) | ~transitive_reflexive_rewrite(X6,X8) | ~transitive_reflexive_rewrite(a,X7) | ~transitive_reflexive_rewrite(X8,c) | ~rewrite(a,X9) | ~transitive_reflexive_rewrite(X9,sK0(a,b)) | ~transitive_reflexive_rewrite(X9,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13530,f41])). 252.23/32.08 fof(f23674,plain,( 252.23/32.08 spl3_47 | spl3_139 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13547,f13492,f23672,f7649])). 252.23/32.08 fof(f23672,plain,( 252.23/32.08 spl3_139 <=> ! [X2,X4,X0,X3,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X4,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X2,X3))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_139])])). 252.23/32.08 fof(f13547,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X4,sK0(a,b)) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(X5,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13535,f40])). 252.23/32.08 fof(f13535,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X19,sK2(c,sK0(a,b))) | ~transitive_reflexive_rewrite(X16,X14) | ~transitive_reflexive_rewrite(X15,X17) | ~transitive_reflexive_rewrite(a,X16) | ~transitive_reflexive_rewrite(X17,X18) | ~transitive_reflexive_rewrite(X14,X15) | ~transitive_reflexive_rewrite(X18,X19)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13530,f42])). 252.23/32.08 fof(f23670,plain,( 252.23/32.08 spl3_47 | spl3_138 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13548,f13492,f23668,f7649])). 252.23/32.08 fof(f23668,plain,( 252.23/32.08 spl3_138 <=> ! [X10,X9,X7,X6,X8] : (~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X10,c) | ~transitive_reflexive_rewrite(X7,X8) | ~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(a,X6) | ~transitive_reflexive_rewrite(X8,X9))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_138])])). 252.23/32.08 fof(f13548,plain,( 252.23/32.08 ( ! [X10,X11,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X8,X9) | ~transitive_reflexive_rewrite(a,X6) | ~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(X7,X8) | ~transitive_reflexive_rewrite(X10,c) | ~rewrite(a,X11) | ~transitive_reflexive_rewrite(X11,sK0(a,b)) | ~transitive_reflexive_rewrite(X11,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13535,f41])). 252.23/32.08 fof(f23666,plain,( 252.23/32.08 spl3_47 | spl3_137 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13564,f13492,f23664,f7649])). 252.23/32.08 fof(f23664,plain,( 252.23/32.08 spl3_137 <=> ! [X2,X3,X4,X0,X5,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(X4,X0) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,X4))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_137])])). 252.23/32.08 fof(f13564,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X6,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(X4,X0) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(X2,X4) | ~transitive_reflexive_rewrite(X5,sK0(a,b)) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X6,sK0(a,b)) | ~transitive_reflexive_rewrite(X6,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13550,f40])). 252.23/32.08 fof(f13550,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X22,X23,X20] : (~transitive_reflexive_rewrite(X23,sK2(c,sK0(a,b))) | ~transitive_reflexive_rewrite(X19,X20) | ~transitive_reflexive_rewrite(a,X17) | ~transitive_reflexive_rewrite(X20,X21) | ~transitive_reflexive_rewrite(X18,X19) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X17,X18) | ~transitive_reflexive_rewrite(X22,X23)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13535,f42])). 252.23/32.08 fof(f23662,plain,( 252.23/32.08 spl3_47 | spl3_136 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13565,f13492,f23660,f7649])). 252.23/32.08 fof(f23660,plain,( 252.23/32.08 spl3_136 <=> ! [X10,X11,X9,X7,X12,X8] : (~transitive_reflexive_rewrite(X7,X8) | ~transitive_reflexive_rewrite(X12,c) | ~transitive_reflexive_rewrite(X10,X12) | ~transitive_reflexive_rewrite(X11,X7) | ~transitive_reflexive_rewrite(X8,X10) | ~transitive_reflexive_rewrite(a,X9) | ~transitive_reflexive_rewrite(X9,X11))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_136])])). 252.23/32.08 fof(f13565,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X7,X12,X13] : (~transitive_reflexive_rewrite(X7,X8) | ~transitive_reflexive_rewrite(a,X9) | ~transitive_reflexive_rewrite(X8,X10) | ~transitive_reflexive_rewrite(X11,X7) | ~transitive_reflexive_rewrite(X10,X12) | ~transitive_reflexive_rewrite(X9,X11) | ~transitive_reflexive_rewrite(X12,c) | ~rewrite(a,X13) | ~transitive_reflexive_rewrite(X13,sK0(a,b)) | ~transitive_reflexive_rewrite(X13,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13550,f41])). 252.23/32.08 fof(f23658,plain,( 252.23/32.08 spl3_47 | spl3_135 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13574,f13492,f23656,f7649])). 252.23/32.08 fof(f23656,plain,( 252.23/32.08 spl3_135 <=> ! [X5,X3,X4,X2,X0,X6,X1] : (~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X6,sK0(a,b)) | ~transitive_reflexive_rewrite(X4,X1) | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(X0,X3) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X2,X5))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_135])])). 252.23/32.08 fof(f13574,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : (~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X2,X5) | ~transitive_reflexive_rewrite(X0,X3) | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(X4,X1) | ~transitive_reflexive_rewrite(X6,sK0(a,b)) | ~rewrite(a,X7) | ~transitive_reflexive_rewrite(X7,sK0(a,b)) | ~transitive_reflexive_rewrite(X7,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13567,f40])). 252.23/32.08 fof(f13567,plain,( 252.23/32.08 ( ! [X21,X26,X27,X24,X22,X25,X23,X20] : (~transitive_reflexive_rewrite(X27,sK2(c,sK0(a,b))) | ~transitive_reflexive_rewrite(a,X22) | ~transitive_reflexive_rewrite(X21,X23) | ~transitive_reflexive_rewrite(X24,X20) | ~transitive_reflexive_rewrite(X23,X25) | ~transitive_reflexive_rewrite(X22,X24) | ~transitive_reflexive_rewrite(X25,X26) | ~transitive_reflexive_rewrite(X20,X21) | ~transitive_reflexive_rewrite(X26,X27)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13550,f42])). 252.23/32.08 fof(f23654,plain,( 252.23/32.08 spl3_47 | spl3_134 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f13575,f13492,f23652,f7649])). 252.23/32.08 fof(f23652,plain,( 252.23/32.08 spl3_134 <=> ! [X10,X11,X14,X13,X12,X9,X8] : (~transitive_reflexive_rewrite(a,X8) | ~transitive_reflexive_rewrite(X14,c) | ~transitive_reflexive_rewrite(X12,X9) | ~transitive_reflexive_rewrite(X13,X14) | ~transitive_reflexive_rewrite(X8,X11) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(X10,X13))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_134])])). 252.23/32.08 fof(f13575,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(a,X8) | ~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(X10,X13) | ~transitive_reflexive_rewrite(X8,X11) | ~transitive_reflexive_rewrite(X13,X14) | ~transitive_reflexive_rewrite(X12,X9) | ~transitive_reflexive_rewrite(X14,c) | ~rewrite(a,X15) | ~transitive_reflexive_rewrite(X15,sK0(a,b)) | ~transitive_reflexive_rewrite(X15,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13567,f41])). 252.23/32.08 fof(f23650,plain,( 252.23/32.08 spl3_47 | spl3_133 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f20912,f13492,f23648,f7649])). 252.23/32.08 fof(f23648,plain,( 252.23/32.08 spl3_133 <=> ! [X2,X6,X4,X3,X0,X5,X1,X7] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X7,sK0(a,b)) | ~transitive_reflexive_rewrite(a,X5) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X4,X6) | ~transitive_reflexive_rewrite(X5,X2) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X3,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_133])])). 252.23/32.08 fof(f20912,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(X5,X2) | ~transitive_reflexive_rewrite(X4,X6) | ~transitive_reflexive_rewrite(X3,X0) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(a,X5) | ~transitive_reflexive_rewrite(X7,sK0(a,b)) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(X8,sK0(a,b)) | ~transitive_reflexive_rewrite(X8,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13577,f40])). 252.23/32.08 fof(f13577,plain,( 252.23/32.08 ( ! [X31,X28,X29,X26,X27,X24,X25,X23,X30] : (~transitive_reflexive_rewrite(X31,sK2(c,sK0(a,b))) | ~transitive_reflexive_rewrite(X24,X25) | ~transitive_reflexive_rewrite(X26,X27) | ~transitive_reflexive_rewrite(X25,X28) | ~transitive_reflexive_rewrite(X23,X26) | ~transitive_reflexive_rewrite(X28,X29) | ~transitive_reflexive_rewrite(X27,X24) | ~transitive_reflexive_rewrite(X29,X30) | ~transitive_reflexive_rewrite(a,X23) | ~transitive_reflexive_rewrite(X30,X31)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13567,f42])). 252.23/32.08 fof(f23646,plain,( 252.23/32.08 spl3_47 | spl3_132 | spl3_105), 252.23/32.08 inference(avatar_split_clause,[],[f20913,f13492,f23644,f7649])). 252.23/32.08 fof(f23644,plain,( 252.23/32.08 spl3_132 <=> ! [X15,X10,X11,X14,X13,X12,X9,X16] : (~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(X16,c) | ~transitive_reflexive_rewrite(a,X14) | ~transitive_reflexive_rewrite(X15,X16) | ~transitive_reflexive_rewrite(X13,X15) | ~transitive_reflexive_rewrite(X14,X11) | ~transitive_reflexive_rewrite(X10,X13) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(X12,X9))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_132])])). 252.23/32.08 fof(f20913,plain,( 252.23/32.08 ( ! [X10,X11,X9,X16,X14,X17,X15,X12,X13] : (~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(X10,X13) | ~transitive_reflexive_rewrite(X14,X11) | ~transitive_reflexive_rewrite(X13,X15) | ~transitive_reflexive_rewrite(X12,X9) | ~transitive_reflexive_rewrite(X15,X16) | ~transitive_reflexive_rewrite(a,X14) | ~transitive_reflexive_rewrite(X16,c) | ~rewrite(a,X17) | ~transitive_reflexive_rewrite(X17,sK0(a,b)) | ~transitive_reflexive_rewrite(X17,c)) ) | spl3_105), 252.23/32.08 inference(resolution,[],[f13577,f41])). 252.23/32.08 fof(f23642,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23641,f3493,f50,f238])). 252.23/32.08 fof(f23639,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_8 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23638,f3493,f242,f50,f238])). 252.23/32.08 fof(f23638,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_8 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23636,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_8 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23635,f3493,f242,f50,f238])). 252.23/32.08 fof(f23635,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_8 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23633,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_8 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23632,f3493,f242,f50,f238])). 252.23/32.08 fof(f23632,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_8 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23630,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_8 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23629,f3493,f242,f50,f238])). 252.23/32.08 fof(f23629,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_8 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23627,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23626,f3493,f119,f50,f238])). 252.23/32.08 fof(f119,plain,( 252.23/32.08 spl3_6 <=> ! [X1] : (~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,c) | ~transitive_reflexive_rewrite(X1,b))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_6])])). 252.23/32.08 fof(f23626,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23624,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23623,f3493,f119,f50,f238])). 252.23/32.08 fof(f23623,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23621,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23620,f3493,f119,f50,f238])). 252.23/32.08 fof(f23620,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23619,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23618,f3493,f119,f50,f238])). 252.23/32.08 fof(f23618,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23617,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_8 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23616,f3493,f242,f50,f238])). 252.23/32.08 fof(f23616,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_8 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23614,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23613,f3493,f119,f50,f238])). 252.23/32.08 fof(f23613,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23611,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23610,f3493,f119,f50,f238])). 252.23/32.08 fof(f23610,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23608,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23607,f3493,f119,f50,f238])). 252.23/32.08 fof(f23607,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23603,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23602,f3493,f119,f50,f238])). 252.23/32.08 fof(f23602,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23601,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23600,f3493,f119,f50,f238])). 252.23/32.08 fof(f23600,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23599,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_8 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23598,f3493,f242,f50,f238])). 252.23/32.08 fof(f23598,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_8 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23594,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23593,f3493,f119,f50,f238])). 252.23/32.08 fof(f23593,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23591,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23590,f3493,f119,f50,f238])). 252.23/32.08 fof(f23590,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23588,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23587,f3493,f119,f50,f238])). 252.23/32.08 fof(f23587,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23586,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23585,f3493,f119,f50,f238])). 252.23/32.08 fof(f23585,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23584,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23583,f3493,f119,f50,f238])). 252.23/32.08 fof(f23583,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23582,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23581,f3493,f119,f50,f238])). 252.23/32.08 fof(f23581,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23580,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_8 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23579,f3493,f242,f50,f238])). 252.23/32.08 fof(f23579,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_8 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23577,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23576,f3493,f119,f50,f238])). 252.23/32.08 fof(f23576,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23574,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23573,f3493,f119,f50,f238])). 252.23/32.08 fof(f23573,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23571,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23570,f3493,f119,f50,f238])). 252.23/32.08 fof(f23570,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23569,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23568,f3493,f119,f50,f238])). 252.23/32.08 fof(f23568,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23567,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23566,f3493,f119,f50,f238])). 252.23/32.08 fof(f23566,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23565,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23564,f3493,f119,f50,f238])). 252.23/32.08 fof(f23564,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23563,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23562,f3493,f119,f50,f238])). 252.23/32.08 fof(f23562,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23561,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_8 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23560,f3493,f242,f50,f238])). 252.23/32.08 fof(f23560,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_8 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23533,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23532,f3493,f119,f50,f238])). 252.23/32.08 fof(f23532,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23530,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23529,f3493,f119,f50,f238])). 252.23/32.08 fof(f23529,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23527,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23526,f3493,f119,f50,f238])). 252.23/32.08 fof(f23526,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23525,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23524,f3493,f119,f50,f238])). 252.23/32.08 fof(f23524,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23523,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23522,f3493,f119,f50,f238])). 252.23/32.08 fof(f23522,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23521,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23520,f3493,f119,f50,f238])). 252.23/32.08 fof(f23520,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23519,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23518,f3493,f119,f50,f238])). 252.23/32.08 fof(f23518,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23517,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | ~spl3_6 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23516,f3493,f119,f50,f238])). 252.23/32.08 fof(f23516,plain,( 252.23/32.08 a = b | (~spl3_2 | ~spl3_6 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23515,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_8 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23514,f3493,f242,f50,f238])). 252.23/32.08 fof(f23514,plain,( 252.23/32.08 a = b | (~spl3_2 | spl3_8 | spl3_34)), 252.23/32.08 inference(global_subsumption,[],[f3524])). 252.23/32.08 fof(f23509,plain,( 252.23/32.08 ~spl3_30 | ~spl3_33 | ~spl3_34), 252.23/32.08 inference(avatar_contradiction_clause,[],[f23508])). 252.23/32.08 fof(f23508,plain,( 252.23/32.08 $false | (~spl3_30 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f23507,f3490])). 252.23/32.08 fof(f3490,plain,( 252.23/32.08 rewrite(a,sK0(a,b)) | ~spl3_33), 252.23/32.08 inference(avatar_component_clause,[],[f3489])). 252.23/32.08 fof(f23507,plain,( 252.23/32.08 ~rewrite(a,sK0(a,b)) | (~spl3_30 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f23502,f3494])). 252.23/32.08 fof(f3494,plain,( 252.23/32.08 transitive_reflexive_rewrite(sK0(a,b),b) | ~spl3_34), 252.23/32.08 inference(avatar_component_clause,[],[f3493])). 252.23/32.08 fof(f23502,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,b),b) | ~rewrite(a,sK0(a,b)) | ~spl3_30), 252.23/32.08 inference(resolution,[],[f2304,f43])). 252.23/32.08 fof(f2304,plain,( 252.23/32.08 ( ! [X1] : (~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,b) | ~rewrite(a,X1)) ) | ~spl3_30), 252.23/32.08 inference(avatar_component_clause,[],[f2303])). 252.23/32.08 fof(f2303,plain,( 252.23/32.08 spl3_30 <=> ! [X1] : (~transitive_reflexive_rewrite(X1,b) | ~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~rewrite(a,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_30])])). 252.23/32.08 fof(f23500,plain,( 252.23/32.08 spl3_30 | spl3_30 | spl3_61 | ~spl3_33 | ~spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23499,f3493,f3489,f8872,f2303,f2303])). 252.23/32.08 fof(f8872,plain,( 252.23/32.08 spl3_61 <=> ! [X0] : (~transitive_reflexive_rewrite(sK0(a,b),X0) | ~transitive_reflexive_rewrite(c,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_61])])). 252.23/32.08 fof(f23499,plain,( 252.23/32.08 ( ! [X8,X6,X7] : (~transitive_reflexive_rewrite(sK0(a,b),X6) | ~transitive_reflexive_rewrite(X7,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X6) | ~rewrite(a,X7) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(X8,b) | ~transitive_reflexive_rewrite(X8,sK0(a,b)) | ~transitive_reflexive_rewrite(X7,b)) ) | (~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f23490,f3490])). 252.23/32.08 fof(f23490,plain,( 252.23/32.08 ( ! [X8,X6,X7] : (~transitive_reflexive_rewrite(sK0(a,b),X6) | ~transitive_reflexive_rewrite(X7,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X6) | ~rewrite(a,X7) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(X8,b) | ~transitive_reflexive_rewrite(X8,sK0(a,b)) | ~rewrite(a,sK0(a,b)) | ~transitive_reflexive_rewrite(X7,b)) ) | (~spl3_33 | ~spl3_34)), 252.23/32.08 inference(resolution,[],[f23093,f43])). 252.23/32.08 fof(f23093,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(sK0(a,b),X1) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2) | ~rewrite(a,X0) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(X3,X1) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X0,b)) ) | (~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f22369,f3494])). 252.23/32.08 fof(f22369,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2) | ~rewrite(a,X0) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(X3,X1) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(sK0(a,b),b) | ~transitive_reflexive_rewrite(sK0(a,b),X1)) ) | ~spl3_33), 252.23/32.08 inference(resolution,[],[f12594,f3490])). 252.23/32.08 fof(f12594,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~rewrite(a,X9) | ~transitive_reflexive_rewrite(X6,b) | ~transitive_reflexive_rewrite(X5,X7) | ~transitive_reflexive_rewrite(X6,X5) | ~transitive_reflexive_rewrite(c,X7) | ~rewrite(a,X6) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(X8,b) | ~transitive_reflexive_rewrite(X8,X5) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X9,b) | ~transitive_reflexive_rewrite(X9,X5)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f12590])). 252.23/32.08 fof(f12590,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~rewrite(a,X5) | ~transitive_reflexive_rewrite(X6,b) | ~transitive_reflexive_rewrite(X5,X7) | ~transitive_reflexive_rewrite(X6,X5) | ~transitive_reflexive_rewrite(c,X7) | ~rewrite(a,X5) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X5,X7) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(X8,b) | ~transitive_reflexive_rewrite(X8,X5) | ~rewrite(a,X9) | ~transitive_reflexive_rewrite(X9,b) | ~transitive_reflexive_rewrite(X9,X5)) )), 252.23/32.08 inference(resolution,[],[f4746,f41])). 252.23/32.08 fof(f4746,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~transitive_reflexive_rewrite(X6,sK2(X7,b)) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X5,b) | ~transitive_reflexive_rewrite(X6,X8) | ~transitive_reflexive_rewrite(X5,X7) | ~transitive_reflexive_rewrite(c,X8) | ~rewrite(a,X7) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X7,X8) | ~rewrite(a,X9) | ~transitive_reflexive_rewrite(X9,b) | ~transitive_reflexive_rewrite(X9,X7)) )), 252.23/32.08 inference(resolution,[],[f2756,f41])). 252.23/32.08 fof(f2756,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~transitive_reflexive_rewrite(X9,sK2(X7,b)) | ~transitive_reflexive_rewrite(X5,b) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X6,sK2(X7,b)) | ~transitive_reflexive_rewrite(X6,X8) | ~transitive_reflexive_rewrite(X5,X7) | ~transitive_reflexive_rewrite(c,X8) | ~rewrite(a,X9) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X9,X8)) )), 252.23/32.08 inference(resolution,[],[f980,f41])). 252.23/32.08 fof(f980,plain,( 252.23/32.08 ( ! [X8,X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X8,sK2(X7,sK2(X5,b))) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(X4,b) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X6,sK2(X5,b)) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(c,X8)) )), 252.23/32.08 inference(resolution,[],[f171,f42])). 252.23/32.08 fof(f171,plain,( 252.23/32.08 ( ! [X18,X19,X17,X20] : (~transitive_reflexive_rewrite(c,sK2(X19,sK2(X18,b))) | ~transitive_reflexive_rewrite(X17,X18) | ~rewrite(a,X17) | ~transitive_reflexive_rewrite(X17,b) | ~rewrite(a,X20) | ~transitive_reflexive_rewrite(X20,sK2(X18,b)) | ~transitive_reflexive_rewrite(X20,X19)) )), 252.23/32.08 inference(resolution,[],[f87,f40])). 252.23/32.08 fof(f87,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(sK2(X1,b),X2) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,X2)) )), 252.23/32.08 inference(resolution,[],[f40,f66])). 252.23/32.08 fof(f66,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X1)) )), 252.23/32.08 inference(resolution,[],[f42,f59])). 252.23/32.08 fof(f23403,plain,( 252.23/32.08 spl3_7 | spl3_63 | ~spl3_2 | ~spl3_28 | ~spl3_33 | ~spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23402,f3493,f3489,f2286,f50,f8977,f238])). 252.23/32.08 fof(f8977,plain,( 252.23/32.08 spl3_63 <=> ! [X0] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(a,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_63])])). 252.23/32.08 fof(f2286,plain,( 252.23/32.08 spl3_28 <=> ! [X0,X1] : (~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(sK0(a,b),X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_28])])). 252.23/32.08 fof(f23402,plain,( 252.23/32.08 ( ! [X0] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,X0) | a = b) ) | (~spl3_2 | ~spl3_28 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f23401,f52])). 252.23/32.08 fof(f23401,plain,( 252.23/32.08 ( ! [X0] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,X0) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_28 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(duplicate_literal_removal,[],[f23398])). 252.23/32.08 fof(f23398,plain,( 252.23/32.08 ( ! [X0] : (~rewrite(a,X0) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,X0) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_28 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(resolution,[],[f23394,f36])). 252.23/32.08 fof(f23394,plain,( 252.23/32.08 ( ! [X2,X3] : (~rewrite(X3,sK0(a,b)) | ~rewrite(X3,X2) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(c,X2)) ) | (~spl3_28 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(duplicate_literal_removal,[],[f23393])). 252.23/32.08 fof(f23393,plain,( 252.23/32.08 ( ! [X2,X3] : (~transitive_reflexive_rewrite(c,X2) | ~rewrite(X3,X2) | ~rewrite(a,X2) | ~rewrite(X3,sK0(a,b)) | ~rewrite(a,X2)) ) | (~spl3_28 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(resolution,[],[f23386,f3490])). 252.23/32.08 fof(f23386,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X4) | ~rewrite(X3,X4) | ~rewrite(X5,X4) | ~rewrite(X3,sK0(a,b)) | ~rewrite(a,X4)) ) | (~spl3_28 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(resolution,[],[f23384,f3490])). 252.23/32.08 fof(f23384,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~rewrite(X3,sK0(a,b)) | ~rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X1) | ~rewrite(X2,sK0(a,b)) | ~rewrite(X2,X1) | ~rewrite(X0,sK0(a,b)) | ~rewrite(X3,X1)) ) | (~spl3_28 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f23383,f3490])). 252.23/32.08 fof(f23383,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~rewrite(X0,sK0(a,b)) | ~rewrite(X0,X1) | ~rewrite(a,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X1) | ~rewrite(X2,sK0(a,b)) | ~rewrite(X2,X1) | ~rewrite(X3,sK0(a,b)) | ~rewrite(X3,X1)) ) | (~spl3_28 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f23378,f3494])). 252.23/32.08 fof(f23378,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(sK0(a,b),b) | ~rewrite(X0,sK0(a,b)) | ~rewrite(X0,X1) | ~rewrite(a,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X1) | ~rewrite(X2,sK0(a,b)) | ~rewrite(X2,X1) | ~rewrite(X3,sK0(a,b)) | ~rewrite(X3,X1)) ) | ~spl3_28), 252.23/32.08 inference(resolution,[],[f23127,f38])). 252.23/32.08 fof(f38,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X1,sK1(X1,X2)) | ~rewrite(X0,X1) | ~rewrite(X0,X2)) )), 252.23/32.08 inference(cnf_transformation,[],[f27])). 252.23/32.08 fof(f27,plain,( 252.23/32.08 ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X2,sK1(X1,X2)) & transitive_reflexive_rewrite(X1,sK1(X1,X2))) | ~rewrite(X0,X1) | ~rewrite(X0,X2))), 252.23/32.08 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f19,f26])). 252.23/32.08 fof(f26,plain,( 252.23/32.08 ! [X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)) => (transitive_reflexive_rewrite(X2,sK1(X1,X2)) & transitive_reflexive_rewrite(X1,sK1(X1,X2))))), 252.23/32.08 introduced(choice_axiom,[])). 252.23/32.08 fof(f19,plain,( 252.23/32.08 ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)) | ~rewrite(X0,X1) | ~rewrite(X0,X2))), 252.23/32.08 inference(flattening,[],[f18])). 252.23/32.08 fof(f18,plain,( 252.23/32.08 ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)) | (~rewrite(X0,X1) | ~rewrite(X0,X2)))), 252.23/32.08 inference(ennf_transformation,[],[f8])). 252.23/32.08 fof(f8,axiom,( 252.23/32.08 ! [X0,X1,X2] : ((rewrite(X0,X1) & rewrite(X0,X2)) => ? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)))), 252.23/32.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lo_cfl)). 252.23/32.08 fof(f23127,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X4,sK1(sK0(a,b),X5)) | ~transitive_reflexive_rewrite(X4,b) | ~rewrite(X6,sK0(a,b)) | ~rewrite(X6,X5) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(c,X5) | ~rewrite(X7,sK0(a,b)) | ~rewrite(X7,X5)) ) | ~spl3_28), 252.23/32.08 inference(resolution,[],[f3475,f39])). 252.23/32.08 fof(f39,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(X2,sK1(X1,X2)) | ~rewrite(X0,X1) | ~rewrite(X0,X2)) )), 252.23/32.08 inference(cnf_transformation,[],[f27])). 252.23/32.08 fof(f3475,plain,( 252.23/32.08 ( ! [X3,X6,X4,X5] : (~transitive_reflexive_rewrite(X6,sK1(sK0(a,b),X4)) | ~transitive_reflexive_rewrite(X3,sK1(sK0(a,b),X4)) | ~transitive_reflexive_rewrite(X3,b) | ~rewrite(X5,sK0(a,b)) | ~rewrite(X5,X4) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(c,X6)) ) | ~spl3_28), 252.23/32.08 inference(resolution,[],[f2293,f42])). 252.23/32.08 fof(f2293,plain,( 252.23/32.08 ( ! [X8,X9,X7] : (~transitive_reflexive_rewrite(c,sK1(sK0(a,b),X8)) | ~rewrite(a,X7) | ~transitive_reflexive_rewrite(X7,sK1(sK0(a,b),X8)) | ~transitive_reflexive_rewrite(X7,b) | ~rewrite(X9,sK0(a,b)) | ~rewrite(X9,X8)) ) | ~spl3_28), 252.23/32.08 inference(resolution,[],[f2287,f38])). 252.23/32.08 fof(f2287,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK0(a,b),X1) | ~transitive_reflexive_rewrite(X0,b) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X1)) ) | ~spl3_28), 252.23/32.08 inference(avatar_component_clause,[],[f2286])). 252.23/32.08 fof(f23397,plain,( 252.23/32.08 spl3_7 | spl3_62 | ~spl3_2 | ~spl3_28 | ~spl3_33 | ~spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23396,f3493,f3489,f2286,f50,f8968,f238])). 252.23/32.08 fof(f8968,plain,( 252.23/32.08 spl3_62 <=> ! [X0,X1] : (~rewrite(X0,sK0(a,b)) | ~rewrite(a,X1) | ~rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_62])])). 252.23/32.08 fof(f23396,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(X1,X0) | ~rewrite(a,X0) | ~rewrite(X1,sK0(a,b)) | a = b) ) | (~spl3_2 | ~spl3_28 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f23395,f52])). 252.23/32.08 fof(f23395,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(X1,X0) | ~rewrite(a,X0) | ~rewrite(X1,sK0(a,b)) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_28 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(duplicate_literal_removal,[],[f23392])). 252.23/32.08 fof(f23392,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(X1,X0) | ~rewrite(a,X0) | ~rewrite(X1,sK0(a,b)) | ~rewrite(a,X0) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_28 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(resolution,[],[f23386,f36])). 252.23/32.08 fof(f23391,plain,( 252.23/32.08 spl3_7 | spl3_131 | ~spl3_2 | ~spl3_28 | ~spl3_33 | ~spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23387,f3493,f3489,f2286,f50,f23389,f238])). 252.23/32.08 fof(f23389,plain,( 252.23/32.08 spl3_131 <=> ! [X2,X0,X1] : (~rewrite(X0,X1) | ~rewrite(a,X1) | ~rewrite(X0,sK0(a,b)) | ~rewrite(X2,sK0(a,b)) | ~rewrite(X2,X1) | ~transitive_reflexive_rewrite(c,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_131])])). 252.23/32.08 fof(f23387,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X1) | ~rewrite(X2,sK0(a,b)) | ~rewrite(X2,X1) | ~rewrite(X0,sK0(a,b)) | ~rewrite(a,X1) | a = b) ) | (~spl3_2 | ~spl3_28 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f23385,f52])). 252.23/32.08 fof(f23385,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X1) | ~rewrite(X2,sK0(a,b)) | ~rewrite(X2,X1) | ~rewrite(X0,sK0(a,b)) | ~rewrite(a,X1) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_28 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(resolution,[],[f23384,f36])). 252.23/32.08 fof(f23121,plain,( 252.23/32.08 spl3_7 | spl3_130 | ~spl3_2 | ~spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23120,f3493,f50,f23117,f238])). 252.23/32.08 fof(f23117,plain,( 252.23/32.08 spl3_130 <=> ! [X4,X5,X3] : (~transitive_reflexive_rewrite(sK0(a,b),X3) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X5,X3) | a = X4 | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(X4,b) | ~transitive_reflexive_rewrite(a,X4))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_130])])). 252.23/32.08 fof(f23120,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(sK0(a,b),X0) | a = X1 | ~transitive_reflexive_rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,b) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X1,X0) | ~transitive_reflexive_rewrite(X2,X0) | a = b) ) | (~spl3_2 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f20210,f52])). 252.23/32.08 fof(f20210,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(sK0(a,b),X0) | a = X1 | ~transitive_reflexive_rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,b) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X1,X0) | ~transitive_reflexive_rewrite(X2,X0) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_34), 252.23/32.08 inference(resolution,[],[f13597,f3494])). 252.23/32.08 fof(f13597,plain,( 252.23/32.08 ( ! [X3,X6,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,X3),b) | ~transitive_reflexive_rewrite(sK0(a,X3),X4) | a = X5 | ~transitive_reflexive_rewrite(a,X5) | ~transitive_reflexive_rewrite(X5,b) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(X5,X4) | ~transitive_reflexive_rewrite(X6,X4) | a = X3 | ~transitive_reflexive_rewrite(a,X3)) )), 252.23/32.08 inference(resolution,[],[f13595,f36])). 252.23/32.08 fof(f13595,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X0,X1) | a = X2 | ~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(X3,X1)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f13586])). 252.23/32.08 fof(f13586,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X0,X1) | a = X2 | ~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(X3,X1) | a = X2 | ~transitive_reflexive_rewrite(a,X2)) )), 252.23/32.08 inference(resolution,[],[f11154,f37])). 252.23/32.08 fof(f11154,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12] : (~transitive_reflexive_rewrite(sK0(a,X11),X12) | ~rewrite(a,X10) | ~transitive_reflexive_rewrite(X10,b) | ~transitive_reflexive_rewrite(X10,X9) | a = X11 | ~transitive_reflexive_rewrite(a,X11) | ~transitive_reflexive_rewrite(X11,b) | ~transitive_reflexive_rewrite(c,X8) | ~transitive_reflexive_rewrite(X12,X9) | ~transitive_reflexive_rewrite(X8,X9)) )), 252.23/32.08 inference(resolution,[],[f9238,f42])). 252.23/32.08 fof(f9238,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X3),X1) | ~transitive_reflexive_rewrite(X2,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X0,X1) | a = X3 | ~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(c,X2)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f9229])). 252.23/32.08 fof(f9229,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(sK0(a,X3),X1) | a = X3 | ~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(c,X2) | a = X3 | ~transitive_reflexive_rewrite(a,X3)) )), 252.23/32.08 inference(resolution,[],[f3859,f37])). 252.23/32.08 fof(f3859,plain,( 252.23/32.08 ( ! [X10,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(sK0(a,X9),X10) | ~transitive_reflexive_rewrite(X7,X8) | ~transitive_reflexive_rewrite(X6,X8) | ~rewrite(a,X7) | ~transitive_reflexive_rewrite(X7,b) | ~transitive_reflexive_rewrite(sK0(a,X9),X8) | a = X9 | ~transitive_reflexive_rewrite(a,X9) | ~transitive_reflexive_rewrite(X10,b) | ~transitive_reflexive_rewrite(c,X6)) )), 252.23/32.08 inference(resolution,[],[f1185,f42])). 252.23/32.08 fof(f1185,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X3),b) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(sK0(a,X3),X2) | a = X3 | ~transitive_reflexive_rewrite(a,X3)) )), 252.23/32.08 inference(resolution,[],[f469,f36])). 252.23/32.08 fof(f469,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~rewrite(a,X7) | ~transitive_reflexive_rewrite(X4,b) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X4,X6) | ~transitive_reflexive_rewrite(X5,X6) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(X7,b) | ~transitive_reflexive_rewrite(X7,X6)) )), 252.23/32.08 inference(resolution,[],[f212,f41])). 252.23/32.08 fof(f212,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9] : (~transitive_reflexive_rewrite(X11,sK2(X9,b)) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(X8,b) | ~transitive_reflexive_rewrite(c,X10) | ~transitive_reflexive_rewrite(X8,X9) | ~transitive_reflexive_rewrite(X10,X11)) )), 252.23/32.08 inference(resolution,[],[f117,f42])). 252.23/32.08 fof(f117,plain,( 252.23/32.08 ( ! [X2,X3,X4] : (~transitive_reflexive_rewrite(X4,sK2(X3,b)) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(c,X4)) )), 252.23/32.08 inference(resolution,[],[f88,f42])). 252.23/32.08 fof(f88,plain,( 252.23/32.08 ( ! [X3,X4] : (~transitive_reflexive_rewrite(c,sK2(X4,b)) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(X3,X4) | ~rewrite(a,X3)) )), 252.23/32.08 inference(resolution,[],[f40,f59])). 252.23/32.08 fof(f23119,plain,( 252.23/32.08 spl3_7 | spl3_130 | ~spl3_2), 252.23/32.08 inference(avatar_split_clause,[],[f23115,f50,f23117,f238])). 252.23/32.08 fof(f23115,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,b),X3) | a = X4 | ~transitive_reflexive_rewrite(a,X4) | ~transitive_reflexive_rewrite(X4,b) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(X5,X3) | a = b) ) | ~spl3_2), 252.23/32.08 inference(subsumption_resolution,[],[f20213,f52])). 252.23/32.08 fof(f20213,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,b),X3) | a = X4 | ~transitive_reflexive_rewrite(a,X4) | ~transitive_reflexive_rewrite(X4,b) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(X5,X3) | a = b | ~transitive_reflexive_rewrite(a,b)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f20211])). 252.23/32.08 fof(f20211,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,b),X3) | a = X4 | ~transitive_reflexive_rewrite(a,X4) | ~transitive_reflexive_rewrite(X4,b) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(X5,X3) | a = b | ~transitive_reflexive_rewrite(a,b) | a = b | ~transitive_reflexive_rewrite(a,b)) )), 252.23/32.08 inference(resolution,[],[f13597,f37])). 252.23/32.08 fof(f23114,plain,( 252.23/32.08 spl3_60 | spl3_60 | spl3_88 | spl3_60 | ~spl3_33), 252.23/32.08 inference(avatar_split_clause,[],[f20776,f3489,f8869,f10685,f8869,f8869])). 252.23/32.08 fof(f10685,plain,( 252.23/32.08 spl3_88 <=> ! [X4,X5] : (~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(sK0(a,b),X5) | ~transitive_reflexive_rewrite(X4,X5))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_88])])). 252.23/32.08 fof(f8869,plain,( 252.23/32.08 spl3_60 <=> ! [X3] : (~rewrite(X3,b) | ~rewrite(X3,sK0(a,b)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_60])])). 252.23/32.08 fof(f20776,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~rewrite(X0,b) | ~transitive_reflexive_rewrite(c,X1) | ~rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(sK0(a,b),X2) | ~rewrite(X3,b) | ~rewrite(X3,sK0(a,b)) | ~rewrite(X4,b) | ~rewrite(X4,sK0(a,b))) ) | ~spl3_33), 252.23/32.08 inference(resolution,[],[f20775,f3490])). 252.23/32.08 fof(f20775,plain,( 252.23/32.08 ( ! [X10,X11,X8,X6,X9,X7] : (~rewrite(a,X6) | ~rewrite(X8,b) | ~transitive_reflexive_rewrite(c,X9) | ~rewrite(X8,X6) | ~transitive_reflexive_rewrite(X9,X7) | ~transitive_reflexive_rewrite(X6,X7) | ~rewrite(X10,b) | ~rewrite(X10,X6) | ~rewrite(X11,b) | ~rewrite(X11,X6)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f20771])). 252.23/32.08 fof(f20771,plain,( 252.23/32.08 ( ! [X10,X11,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X6,X7) | ~rewrite(X8,b) | ~transitive_reflexive_rewrite(c,X9) | ~rewrite(X8,X6) | ~transitive_reflexive_rewrite(X9,X7) | ~rewrite(a,X6) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X6,X7) | ~rewrite(X10,b) | ~rewrite(X10,X6) | ~rewrite(X11,b) | ~rewrite(X11,X6)) )), 252.23/32.08 inference(resolution,[],[f9112,f39])). 252.23/32.08 fof(f9112,plain,( 252.23/32.08 ( ! [X10,X11,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X6,sK1(b,X7)) | ~transitive_reflexive_rewrite(X6,X8) | ~rewrite(X9,b) | ~transitive_reflexive_rewrite(c,X10) | ~rewrite(X9,X7) | ~transitive_reflexive_rewrite(X10,X8) | ~rewrite(a,X7) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X7,X8) | ~rewrite(X11,b) | ~rewrite(X11,X7)) )), 252.23/32.08 inference(resolution,[],[f3652,f39])). 252.23/32.08 fof(f3652,plain,( 252.23/32.08 ( ! [X10,X11,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X11,sK1(b,X7)) | ~transitive_reflexive_rewrite(X6,sK1(b,X7)) | ~transitive_reflexive_rewrite(X6,X8) | ~rewrite(X9,b) | ~transitive_reflexive_rewrite(c,X10) | ~rewrite(X9,X7) | ~transitive_reflexive_rewrite(X10,X8) | ~rewrite(a,X11) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X11,X8)) )), 252.23/32.08 inference(resolution,[],[f2067,f41])). 252.23/32.08 fof(f2067,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X19,sK2(X17,sK1(b,X15))) | ~rewrite(a,X16) | ~transitive_reflexive_rewrite(X16,sK1(b,X15)) | ~transitive_reflexive_rewrite(X16,X17) | ~rewrite(X14,b) | ~transitive_reflexive_rewrite(c,X18) | ~rewrite(X14,X15) | ~transitive_reflexive_rewrite(X18,X19)) )), 252.23/32.08 inference(resolution,[],[f748,f42])). 252.23/32.08 fof(f748,plain,( 252.23/32.08 ( ! [X8,X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X8,sK2(X7,sK1(b,X5))) | ~rewrite(X4,X5) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X6,sK1(b,X5)) | ~transitive_reflexive_rewrite(X6,X7) | ~rewrite(X4,b) | ~transitive_reflexive_rewrite(c,X8)) )), 252.23/32.08 inference(resolution,[],[f137,f42])). 252.23/32.08 fof(f137,plain,( 252.23/32.08 ( ! [X18,X19,X17,X20] : (~transitive_reflexive_rewrite(c,sK2(X19,sK1(b,X18))) | ~rewrite(X17,b) | ~rewrite(X17,X18) | ~rewrite(a,X20) | ~transitive_reflexive_rewrite(X20,sK1(b,X18)) | ~transitive_reflexive_rewrite(X20,X19)) )), 252.23/32.08 inference(resolution,[],[f75,f40])). 252.23/32.08 fof(f75,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(sK1(b,X1),X2) | ~rewrite(X0,X1) | ~rewrite(X0,b) | ~transitive_reflexive_rewrite(c,X2)) )), 252.23/32.08 inference(resolution,[],[f38,f66])). 252.23/32.08 fof(f23109,plain,( 252.23/32.08 spl3_7 | spl3_129 | ~spl3_2 | ~spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23108,f3493,f50,f23105,f238])). 252.23/32.08 fof(f23105,plain,( 252.23/32.08 spl3_129 <=> ! [X4,X5,X3] : (~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X5) | a = X3 | ~transitive_reflexive_rewrite(X3,b))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_129])])). 252.23/32.08 fof(f23108,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b) | a = X0 | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(sK0(a,b),X2) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2) | a = b) ) | (~spl3_2 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f20206,f52])). 252.23/32.08 fof(f20206,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b) | a = X0 | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(sK0(a,b),X2) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_34), 252.23/32.08 inference(resolution,[],[f13488,f3494])). 252.23/32.08 fof(f13488,plain,( 252.23/32.08 ( ! [X3,X6,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,X4),b) | ~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,b) | a = X3 | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(sK0(a,X4),X6) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(c,X6) | a = X4 | ~transitive_reflexive_rewrite(a,X4)) )), 252.23/32.08 inference(resolution,[],[f13479,f36])). 252.23/32.08 fof(f13479,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~rewrite(a,X2) | a = X1 | ~transitive_reflexive_rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,b) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X3,X0) | ~transitive_reflexive_rewrite(X2,X0) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(c,X0)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f13470])). 252.23/32.08 fof(f13470,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(c,X0) | a = X1 | ~transitive_reflexive_rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,b) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X3,X0) | ~transitive_reflexive_rewrite(X2,X0) | ~transitive_reflexive_rewrite(X1,X3) | ~rewrite(a,X2) | a = X1 | ~transitive_reflexive_rewrite(a,X1)) )), 252.23/32.08 inference(resolution,[],[f5199,f37])). 252.23/32.08 fof(f5199,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12] : (~transitive_reflexive_rewrite(sK0(a,X10),X12) | ~transitive_reflexive_rewrite(c,X9) | a = X10 | ~transitive_reflexive_rewrite(a,X10) | ~transitive_reflexive_rewrite(X10,b) | ~transitive_reflexive_rewrite(X8,b) | ~transitive_reflexive_rewrite(X11,X9) | ~transitive_reflexive_rewrite(X8,X9) | ~transitive_reflexive_rewrite(X12,X11) | ~rewrite(a,X8)) )), 252.23/32.08 inference(resolution,[],[f4316,f42])). 252.23/32.08 fof(f4316,plain,( 252.23/32.08 ( ! [X8,X6,X7,X5] : (~transitive_reflexive_rewrite(sK0(a,X7),X8) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(c,X6) | a = X7 | ~transitive_reflexive_rewrite(a,X7) | ~transitive_reflexive_rewrite(X7,b) | ~transitive_reflexive_rewrite(X5,b) | ~transitive_reflexive_rewrite(X8,X6) | ~transitive_reflexive_rewrite(X5,X6)) )), 252.23/32.08 inference(resolution,[],[f4010,f42])). 252.23/32.08 fof(f4010,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X2),X0) | ~transitive_reflexive_rewrite(X1,X0) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(c,X0) | a = X2 | ~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X1,b)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f4001])). 252.23/32.08 fof(f4001,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X1,X0) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(sK0(a,X2),X0) | a = X2 | ~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X1,b) | a = X2 | ~transitive_reflexive_rewrite(a,X2)) )), 252.23/32.08 inference(resolution,[],[f2282,f37])). 252.23/32.08 fof(f2282,plain,( 252.23/32.08 ( ! [X2,X3,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,X4),X5) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(sK0(a,X4),X3) | a = X4 | ~transitive_reflexive_rewrite(a,X4) | ~transitive_reflexive_rewrite(X5,b) | ~transitive_reflexive_rewrite(X2,b)) )), 252.23/32.08 inference(resolution,[],[f621,f42])). 252.23/32.08 fof(f621,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X2),b) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(sK0(a,X2),X1) | a = X2 | ~transitive_reflexive_rewrite(a,X2)) )), 252.23/32.08 inference(resolution,[],[f210,f36])). 252.23/32.08 fof(f210,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~rewrite(a,X5) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X5,b) | ~transitive_reflexive_rewrite(X5,X4)) )), 252.23/32.08 inference(resolution,[],[f117,f41])). 252.23/32.08 fof(f23107,plain,( 252.23/32.08 spl3_7 | spl3_129 | ~spl3_2), 252.23/32.08 inference(avatar_split_clause,[],[f23103,f50,f23105,f238])). 252.23/32.08 fof(f23103,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,b) | a = X3 | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X5) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X5) | a = b) ) | ~spl3_2), 252.23/32.08 inference(subsumption_resolution,[],[f20209,f52])). 252.23/32.08 fof(f20209,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,b) | a = X3 | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X5) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X5) | a = b | ~transitive_reflexive_rewrite(a,b)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f20207])). 252.23/32.08 fof(f20207,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,b) | a = X3 | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X5) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X5) | a = b | ~transitive_reflexive_rewrite(a,b) | a = b | ~transitive_reflexive_rewrite(a,b)) )), 252.23/32.08 inference(resolution,[],[f13488,f37])). 252.23/32.08 fof(f23102,plain,( 252.23/32.08 spl3_7 | spl3_128 | ~spl3_2 | ~spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f23101,f3493,f50,f23098,f238])). 252.23/32.08 fof(f23098,plain,( 252.23/32.08 spl3_128 <=> ! [X4,X5,X3] : (~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(sK0(a,b),X5) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X3,X4) | a = X3 | ~transitive_reflexive_rewrite(X4,b))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_128])])). 252.23/32.08 fof(f23101,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,b) | a = X0 | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(sK0(a,b),X2) | a = b) ) | (~spl3_2 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f20214,f52])). 252.23/32.08 fof(f20214,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,b) | a = X0 | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(sK0(a,b),X2) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_34), 252.23/32.08 inference(resolution,[],[f13621,f3494])). 252.23/32.08 fof(f13621,plain,( 252.23/32.08 ( ! [X3,X6,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,X5),b) | ~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(X4,b) | a = X3 | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(X3,X6) | ~transitive_reflexive_rewrite(sK0(a,X5),X6) | a = X5 | ~transitive_reflexive_rewrite(a,X5)) )), 252.23/32.08 inference(resolution,[],[f13612,f36])). 252.23/32.08 fof(f13612,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~rewrite(a,X0) | a = X2 | ~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(X0,X1)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f13603])). 252.23/32.08 fof(f13603,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | a = X2 | ~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X2,X1) | ~rewrite(a,X0) | a = X2 | ~transitive_reflexive_rewrite(a,X2)) )), 252.23/32.08 inference(resolution,[],[f11177,f37])). 252.23/32.08 fof(f11177,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12] : (~transitive_reflexive_rewrite(sK0(a,X10),X12) | ~transitive_reflexive_rewrite(X8,X9) | a = X10 | ~transitive_reflexive_rewrite(a,X10) | ~transitive_reflexive_rewrite(X11,b) | ~transitive_reflexive_rewrite(X8,b) | ~transitive_reflexive_rewrite(X10,X11) | ~transitive_reflexive_rewrite(c,X9) | ~transitive_reflexive_rewrite(X12,X9) | ~rewrite(a,X8)) )), 252.23/32.08 inference(resolution,[],[f9312,f42])). 252.23/32.08 fof(f9312,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X2),X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X1) | a = X2 | ~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(c,X1)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f9303])). 252.23/32.08 fof(f9303,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(sK0(a,X2),X1) | a = X2 | ~transitive_reflexive_rewrite(a,X2) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(c,X1) | a = X2 | ~transitive_reflexive_rewrite(a,X2)) )), 252.23/32.08 inference(resolution,[],[f4004,f37])). 252.23/32.08 fof(f4004,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12] : (~transitive_reflexive_rewrite(sK0(a,X10),X12) | ~transitive_reflexive_rewrite(X9,X8) | ~rewrite(a,X9) | ~transitive_reflexive_rewrite(sK0(a,X10),X8) | a = X10 | ~transitive_reflexive_rewrite(a,X10) | ~transitive_reflexive_rewrite(X11,b) | ~transitive_reflexive_rewrite(X9,b) | ~transitive_reflexive_rewrite(X12,X11) | ~transitive_reflexive_rewrite(c,X8)) )), 252.23/32.08 inference(resolution,[],[f2282,f42])). 252.23/32.08 fof(f23100,plain,( 252.23/32.08 spl3_7 | spl3_128 | ~spl3_2), 252.23/32.08 inference(avatar_split_clause,[],[f23096,f50,f23098,f238])). 252.23/32.08 fof(f23096,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(X4,b) | a = X3 | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X5) | a = b) ) | ~spl3_2), 252.23/32.08 inference(subsumption_resolution,[],[f20217,f52])). 252.23/32.08 fof(f20217,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(X4,b) | a = X3 | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X5) | a = b | ~transitive_reflexive_rewrite(a,b)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f20215])). 252.23/32.08 fof(f20215,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(X4,b) | a = X3 | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X5) | a = b | ~transitive_reflexive_rewrite(a,b) | a = b | ~transitive_reflexive_rewrite(a,b)) )), 252.23/32.08 inference(resolution,[],[f13621,f37])). 252.23/32.08 fof(f23091,plain,( 252.23/32.08 spl3_11 | ~spl3_3 | ~spl3_33 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f23090,f8872,f3489,f55,f534])). 252.23/32.08 fof(f23090,plain,( 252.23/32.08 a = c | (~spl3_3 | ~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f23089,f57])). 252.23/32.08 fof(f23089,plain,( 252.23/32.08 a = c | ~transitive_reflexive_rewrite(a,c) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(duplicate_literal_removal,[],[f23087])). 252.23/32.08 fof(f23087,plain,( 252.23/32.08 a = c | ~transitive_reflexive_rewrite(a,c) | a = c | ~transitive_reflexive_rewrite(a,c) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f23086,f37])). 252.23/32.08 fof(f23086,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(sK0(a,X0),c) | a = X0 | ~transitive_reflexive_rewrite(a,X0)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f23078,f36])). 252.23/32.08 fof(f23078,plain,( 252.23/32.08 ( ! [X1] : (~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,c)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(duplicate_literal_removal,[],[f23077])). 252.23/32.08 fof(f23077,plain,( 252.23/32.08 ( ! [X1] : (~transitive_reflexive_rewrite(X1,c) | ~rewrite(a,X1) | ~rewrite(a,X1)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f23069,f3490])). 252.23/32.08 fof(f23069,plain,( 252.23/32.08 ( ! [X2,X3] : (~rewrite(X3,sK0(a,b)) | ~transitive_reflexive_rewrite(X2,c) | ~rewrite(X3,X2) | ~rewrite(a,X2)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(duplicate_literal_removal,[],[f23068])). 252.23/32.08 fof(f23068,plain,( 252.23/32.08 ( ! [X2,X3] : (~transitive_reflexive_rewrite(X2,c) | ~rewrite(X3,sK0(a,b)) | ~rewrite(X3,X2) | ~rewrite(a,X2) | ~rewrite(a,X2)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f23060,f3490])). 252.23/32.08 fof(f23060,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(X4,c) | ~rewrite(X3,sK0(a,b)) | ~rewrite(X3,X4) | ~rewrite(X5,X4) | ~rewrite(a,X4)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(duplicate_literal_removal,[],[f23059])). 252.23/32.08 fof(f23059,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~rewrite(X3,X4) | ~transitive_reflexive_rewrite(X4,c) | ~rewrite(X3,sK0(a,b)) | ~rewrite(X5,sK0(a,b)) | ~rewrite(X5,X4) | ~rewrite(a,X4) | ~rewrite(a,X4)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f23057,f3490])). 252.23/32.08 fof(f23057,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~rewrite(X7,sK0(a,b)) | ~rewrite(X5,X4) | ~transitive_reflexive_rewrite(X4,c) | ~rewrite(X5,sK0(a,b)) | ~rewrite(X6,sK0(a,b)) | ~rewrite(X6,X4) | ~rewrite(a,X4) | ~rewrite(X7,X4)) ) | ~spl3_61), 252.23/32.08 inference(duplicate_literal_removal,[],[f23053])). 252.23/32.08 fof(f23053,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~rewrite(a,X4) | ~rewrite(X5,X4) | ~transitive_reflexive_rewrite(X4,c) | ~rewrite(a,X4) | ~rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(X4,c) | ~rewrite(X6,sK0(a,b)) | ~rewrite(X6,X4) | ~rewrite(X7,sK0(a,b)) | ~rewrite(X7,X4)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f20266,f39])). 252.23/32.08 fof(f20266,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X6,sK1(sK0(a,b),X5)) | ~rewrite(a,X6) | ~rewrite(X4,X5) | ~transitive_reflexive_rewrite(X6,c) | ~rewrite(a,X5) | ~rewrite(X4,sK0(a,b)) | ~transitive_reflexive_rewrite(X5,c) | ~rewrite(X7,sK0(a,b)) | ~rewrite(X7,X5)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f11834,f39])). 252.23/32.08 fof(f11834,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X3,sK1(sK0(a,b),X1)) | ~rewrite(X0,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,sK1(sK0(a,b),X1)) | ~transitive_reflexive_rewrite(X2,c) | ~rewrite(a,X3) | ~rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X3,c)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8940,f41])). 252.23/32.08 fof(f8940,plain,( 252.23/32.08 ( ! [X18,X19,X17,X20] : (~transitive_reflexive_rewrite(c,sK2(X17,sK1(sK0(a,b),X18))) | ~rewrite(X19,sK0(a,b)) | ~rewrite(X19,X18) | ~rewrite(a,X20) | ~transitive_reflexive_rewrite(X20,sK1(sK0(a,b),X18)) | ~transitive_reflexive_rewrite(X20,X17)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8894,f40])). 252.23/32.08 fof(f8894,plain,( 252.23/32.08 ( ! [X10,X8,X9] : (~transitive_reflexive_rewrite(sK1(sK0(a,b),X8),X9) | ~transitive_reflexive_rewrite(c,X9) | ~rewrite(X10,sK0(a,b)) | ~rewrite(X10,X8)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8878,f38])). 252.23/32.08 fof(f8878,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK0(a,b),X1) | ~transitive_reflexive_rewrite(X1,X0) | ~transitive_reflexive_rewrite(c,X0)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8873,f42])). 252.23/32.08 fof(f8873,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(sK0(a,b),X0) | ~transitive_reflexive_rewrite(c,X0)) ) | ~spl3_61), 252.23/32.08 inference(avatar_component_clause,[],[f8872])). 252.23/32.08 fof(f23084,plain,( 252.23/32.08 spl3_7 | spl3_127 | ~spl3_2 | ~spl3_33 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f23080,f8872,f3489,f50,f23082,f238])). 252.23/32.08 fof(f23082,plain,( 252.23/32.08 spl3_127 <=> ! [X0] : (~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_127])])). 252.23/32.08 fof(f23080,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X0) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f23079,f52])). 252.23/32.08 fof(f23079,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X0) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(duplicate_literal_removal,[],[f23076])). 252.23/32.08 fof(f23076,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X0) | ~rewrite(a,X0) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f23069,f36])). 252.23/32.08 fof(f23075,plain,( 252.23/32.08 spl3_7 | spl3_126 | ~spl3_2 | ~spl3_33 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f23071,f8872,f3489,f50,f23073,f238])). 252.23/32.08 fof(f23073,plain,( 252.23/32.08 spl3_126 <=> ! [X0,X1] : (~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X0) | ~rewrite(X1,sK0(a,b)) | ~rewrite(X1,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_126])])). 252.23/32.08 fof(f23071,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X0,c) | ~rewrite(X1,sK0(a,b)) | ~rewrite(X1,X0) | ~rewrite(a,X0) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f23070,f52])). 252.23/32.08 fof(f23070,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X0,c) | ~rewrite(X1,sK0(a,b)) | ~rewrite(X1,X0) | ~rewrite(a,X0) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(duplicate_literal_removal,[],[f23067])). 252.23/32.08 fof(f23067,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X0,c) | ~rewrite(X1,sK0(a,b)) | ~rewrite(X1,X0) | ~rewrite(a,X0) | ~rewrite(a,X0) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f23060,f36])). 252.23/32.08 fof(f23066,plain,( 252.23/32.08 spl3_7 | spl3_125 | ~spl3_2 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f23062,f8872,f50,f23064,f238])). 252.23/32.08 fof(f23064,plain,( 252.23/32.08 spl3_125 <=> ! [X2,X0,X1] : (~rewrite(X0,X1) | ~rewrite(a,X1) | ~rewrite(X2,sK0(a,b)) | ~rewrite(X2,X1) | ~rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_125])])). 252.23/32.08 fof(f23062,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,c) | ~rewrite(X0,sK0(a,b)) | ~rewrite(X2,sK0(a,b)) | ~rewrite(X2,X1) | ~rewrite(a,X1) | a = b) ) | (~spl3_2 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f23061,f52])). 252.23/32.08 fof(f23061,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,c) | ~rewrite(X0,sK0(a,b)) | ~rewrite(X2,sK0(a,b)) | ~rewrite(X2,X1) | ~rewrite(a,X1) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_61), 252.23/32.08 inference(duplicate_literal_removal,[],[f23058])). 252.23/32.08 fof(f23058,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,c) | ~rewrite(X0,sK0(a,b)) | ~rewrite(X2,sK0(a,b)) | ~rewrite(X2,X1) | ~rewrite(a,X1) | ~rewrite(a,X1) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f23057,f36])). 252.23/32.08 fof(f22897,plain,( 252.23/32.08 spl3_124 | spl3_69), 252.23/32.08 inference(avatar_split_clause,[],[f22889,f9334,f22895])). 252.23/32.08 fof(f22895,plain,( 252.23/32.08 spl3_124 <=> ! [X4,X5,X1] : (~rewrite(a,X1) | ~transitive_reflexive_rewrite(X5,b) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(X1,c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_124])])). 252.23/32.08 fof(f9334,plain,( 252.23/32.08 spl3_69 <=> ! [X3,X0,X5,X1] : (~transitive_reflexive_rewrite(X0,sK1(b,X1)) | ~rewrite(X5,b) | ~rewrite(X5,X1) | ~rewrite(a,X0) | ~rewrite(X3,b) | ~rewrite(X3,X1) | ~transitive_reflexive_rewrite(X0,c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_69])])). 252.23/32.08 fof(f22889,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X6,X4,X5] : (~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X1) | ~rewrite(X2,b) | ~transitive_reflexive_rewrite(X1,c) | ~rewrite(X2,X3) | ~transitive_reflexive_rewrite(X1,X4) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X0,sK1(b,X3)) | ~transitive_reflexive_rewrite(X5,b) | ~rewrite(X6,b) | ~rewrite(X6,X3)) )), 252.23/32.08 inference(resolution,[],[f9328,f38])). 252.23/32.08 fof(f9328,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X22,X23,X20] : (~transitive_reflexive_rewrite(X23,sK1(b,X18)) | ~transitive_reflexive_rewrite(X17,c) | ~rewrite(a,X19) | ~rewrite(X20,b) | ~transitive_reflexive_rewrite(X19,c) | ~rewrite(X20,X18) | ~transitive_reflexive_rewrite(X19,X21) | ~rewrite(a,X17) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X17,sK1(b,X18)) | ~transitive_reflexive_rewrite(X22,X23)) )), 252.23/32.08 inference(resolution,[],[f4044,f42])). 252.23/32.08 fof(f4044,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X19,sK1(b,X15)) | ~transitive_reflexive_rewrite(X14,sK1(b,X15)) | ~transitive_reflexive_rewrite(X14,c) | ~rewrite(a,X16) | ~rewrite(X17,b) | ~transitive_reflexive_rewrite(X16,c) | ~rewrite(X17,X15) | ~transitive_reflexive_rewrite(X16,X18) | ~rewrite(a,X14) | ~transitive_reflexive_rewrite(X18,X19)) )), 252.23/32.08 inference(resolution,[],[f2318,f42])). 252.23/32.08 fof(f2318,plain,( 252.23/32.08 ( ! [X11,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(X15,sK1(b,X12)) | ~rewrite(a,X13) | ~transitive_reflexive_rewrite(X13,sK1(b,X12)) | ~transitive_reflexive_rewrite(X13,c) | ~rewrite(a,X14) | ~rewrite(X11,b) | ~transitive_reflexive_rewrite(X14,c) | ~rewrite(X11,X12) | ~transitive_reflexive_rewrite(X14,X15)) )), 252.23/32.08 inference(resolution,[],[f747,f42])). 252.23/32.08 fof(f747,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X3,sK1(b,X1)) | ~rewrite(X0,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,sK1(b,X1)) | ~transitive_reflexive_rewrite(X2,c) | ~rewrite(a,X3) | ~rewrite(X0,b) | ~transitive_reflexive_rewrite(X3,c)) )), 252.23/32.08 inference(resolution,[],[f137,f41])). 252.23/32.08 fof(f21356,plain,( 252.23/32.08 spl3_15 | spl3_76), 252.23/32.08 inference(avatar_split_clause,[],[f21355,f10410,f1685])). 252.23/32.08 fof(f1685,plain,( 252.23/32.08 spl3_15 <=> ! [X1] : (~transitive_reflexive_rewrite(b,X1) | b = X1)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_15])])). 252.23/32.08 fof(f10410,plain,( 252.23/32.08 spl3_76 <=> ! [X740,X744,X742,X741] : (~transitive_reflexive_rewrite(X740,b) | ~transitive_reflexive_rewrite(X741,b) | ~transitive_reflexive_rewrite(X744,X740) | ~rewrite(a,X741) | ~rewrite(a,X744) | ~transitive_reflexive_rewrite(X744,X742) | ~transitive_reflexive_rewrite(c,X742) | ~transitive_reflexive_rewrite(X741,X742))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_76])])). 252.23/32.08 fof(f21355,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(a,X1) | b = X2 | ~transitive_reflexive_rewrite(X1,X0) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X1,b) | ~transitive_reflexive_rewrite(X3,X0) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(b,X2) | ~transitive_reflexive_rewrite(X4,b)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f21351])). 252.23/32.08 fof(f21351,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(a,X1) | b = X2 | ~transitive_reflexive_rewrite(X1,X0) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X1,b) | ~transitive_reflexive_rewrite(X3,X0) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(b,X2) | ~transitive_reflexive_rewrite(X4,b) | ~transitive_reflexive_rewrite(b,X2) | b = X2) )), 252.23/32.08 inference(resolution,[],[f13600,f74])). 252.23/32.08 fof(f74,plain,( 252.23/32.08 ( ! [X0,X1] : (transitive_reflexive_rewrite(X0,sK0(X0,X1)) | ~transitive_reflexive_rewrite(X0,X1) | X0 = X1) )), 252.23/32.08 inference(resolution,[],[f36,f35])). 252.23/32.08 fof(f35,plain,( 252.23/32.08 ( ! [X0,X1] : (~rewrite(X0,X1) | transitive_reflexive_rewrite(X0,X1)) )), 252.23/32.08 inference(cnf_transformation,[],[f15])). 252.23/32.08 fof(f15,plain,( 252.23/32.08 ! [X0,X1] : (transitive_reflexive_rewrite(X0,X1) | ~rewrite(X0,X1))), 252.23/32.08 inference(ennf_transformation,[],[f4])). 252.23/32.08 fof(f4,axiom,( 252.23/32.08 ! [X0,X1] : (rewrite(X0,X1) => transitive_reflexive_rewrite(X0,X1))), 252.23/32.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_in_transitive_reflexive_rewrite)). 252.23/32.08 fof(f13600,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12,X13] : (~transitive_reflexive_rewrite(X13,sK0(b,X8)) | ~transitive_reflexive_rewrite(c,X9) | ~rewrite(a,X10) | b = X8 | ~transitive_reflexive_rewrite(X10,X9) | ~rewrite(a,X11) | ~transitive_reflexive_rewrite(X10,b) | ~transitive_reflexive_rewrite(X11,X9) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(b,X8) | ~transitive_reflexive_rewrite(X12,X13)) )), 252.23/32.08 inference(resolution,[],[f11164,f42])). 252.23/32.08 fof(f11164,plain,( 252.23/32.08 ( ! [X10,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X10,sK0(b,X8)) | ~transitive_reflexive_rewrite(b,X8) | ~transitive_reflexive_rewrite(c,X7) | ~rewrite(a,X9) | b = X8 | ~transitive_reflexive_rewrite(X9,X7) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X9,b) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X6,X10)) )), 252.23/32.08 inference(resolution,[],[f9289,f42])). 252.23/32.08 fof(f9289,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,sK0(b,X1)) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(c,X2) | ~rewrite(a,X3) | b = X1 | ~transitive_reflexive_rewrite(X3,X2) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,b)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f9285])). 252.23/32.08 fof(f9285,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,sK0(b,X1)) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(c,X2) | ~rewrite(a,X3) | b = X1 | ~transitive_reflexive_rewrite(X3,X2) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(b,X1) | b = X1) )), 252.23/32.08 inference(resolution,[],[f3943,f74])). 252.23/32.08 fof(f3943,plain,( 252.23/32.08 ( ! [X10,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X10,sK0(b,X7)) | ~transitive_reflexive_rewrite(X6,sK0(b,X7)) | ~transitive_reflexive_rewrite(X6,X8) | ~transitive_reflexive_rewrite(b,X7) | ~transitive_reflexive_rewrite(c,X8) | ~rewrite(a,X9) | b = X7 | ~transitive_reflexive_rewrite(X9,X8) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X9,X10)) )), 252.23/32.08 inference(resolution,[],[f2158,f42])). 252.23/32.08 fof(f2158,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X7,sK0(b,X4)) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X5,sK0(b,X4)) | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(b,X4) | ~transitive_reflexive_rewrite(c,X6) | ~rewrite(a,X7) | b = X4 | ~transitive_reflexive_rewrite(X7,X6)) )), 252.23/32.08 inference(resolution,[],[f797,f41])). 252.23/32.08 fof(f797,plain,( 252.23/32.08 ( ! [X3,X6,X4,X5] : (~transitive_reflexive_rewrite(X6,sK2(X5,sK0(b,X3))) | b = X3 | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(X4,sK0(b,X3)) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(b,X3) | ~transitive_reflexive_rewrite(c,X6)) )), 252.23/32.08 inference(resolution,[],[f152,f42])). 252.23/32.08 fof(f152,plain,( 252.23/32.08 ( ! [X14,X15,X13] : (~transitive_reflexive_rewrite(c,sK2(X14,sK0(b,X13))) | ~transitive_reflexive_rewrite(b,X13) | b = X13 | ~rewrite(a,X15) | ~transitive_reflexive_rewrite(X15,sK0(b,X13)) | ~transitive_reflexive_rewrite(X15,X14)) )), 252.23/32.08 inference(resolution,[],[f83,f40])). 252.23/32.08 fof(f83,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK0(b,X0),X1) | b = X0 | ~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(c,X1)) )), 252.23/32.08 inference(resolution,[],[f74,f66])). 252.23/32.08 fof(f20904,plain,( 252.23/32.08 spl3_7 | spl3_123 | ~spl3_2 | ~spl3_33 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f20900,f8872,f3489,f50,f20902,f238])). 252.23/32.08 fof(f20902,plain,( 252.23/32.08 spl3_123 <=> ! [X3,X4,X0,X5,X2,X1] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X5,X1) | ~transitive_reflexive_rewrite(X0,X5) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(X2,X4) | ~rewrite(a,X3))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_123])])). 252.23/32.08 fof(f20900,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X2,X4) | ~transitive_reflexive_rewrite(X0,X5) | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(X5,X1) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f20899,f52])). 252.23/32.08 fof(f20899,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X2,X4) | ~transitive_reflexive_rewrite(X0,X5) | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(X5,X1) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(duplicate_literal_removal,[],[f20896])). 252.23/32.08 fof(f20896,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X2,X4) | ~transitive_reflexive_rewrite(X0,X5) | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(X5,X1) | ~rewrite(a,X3) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f20890,f36])). 252.23/32.08 fof(f20890,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X7,X12,X13] : (~rewrite(X11,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X9) | ~transitive_reflexive_rewrite(X8,X10) | ~rewrite(X11,X12) | ~transitive_reflexive_rewrite(X10,X13) | ~transitive_reflexive_rewrite(X9,X7) | ~transitive_reflexive_rewrite(X13,X12) | ~transitive_reflexive_rewrite(X7,X8) | ~rewrite(a,X12)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f18781,f3490])). 252.23/32.08 fof(f18781,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X14,X15,X12,X13] : (~rewrite(X15,sK0(a,b)) | ~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(c,X11) | ~transitive_reflexive_rewrite(X10,X12) | ~rewrite(X8,X13) | ~transitive_reflexive_rewrite(X12,X14) | ~transitive_reflexive_rewrite(X11,X9) | ~transitive_reflexive_rewrite(X14,X13) | ~rewrite(X8,sK0(a,b)) | ~rewrite(X15,X13)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f11960,f39])). 252.23/32.08 fof(f11960,plain,( 252.23/32.08 ( ! [X21,X26,X27,X24,X22,X25,X23,X20] : (~transitive_reflexive_rewrite(X27,sK1(sK0(a,b),X25)) | ~rewrite(X22,sK0(a,b)) | ~transitive_reflexive_rewrite(X21,X23) | ~transitive_reflexive_rewrite(c,X20) | ~transitive_reflexive_rewrite(X23,X24) | ~rewrite(X22,X25) | ~transitive_reflexive_rewrite(X24,X26) | ~transitive_reflexive_rewrite(X20,X21) | ~transitive_reflexive_rewrite(X26,X27)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f10519,f42])). 252.23/32.08 fof(f10519,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X22,X23,X20] : (~transitive_reflexive_rewrite(X23,sK1(sK0(a,b),X18)) | ~transitive_reflexive_rewrite(X19,X20) | ~rewrite(X17,sK0(a,b)) | ~transitive_reflexive_rewrite(X20,X21) | ~transitive_reflexive_rewrite(c,X19) | ~transitive_reflexive_rewrite(X21,X22) | ~rewrite(X17,X18) | ~transitive_reflexive_rewrite(X22,X23)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9199,f42])). 252.23/32.08 fof(f9199,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X19,sK1(sK0(a,b),X16)) | ~rewrite(X15,X16) | ~transitive_reflexive_rewrite(X14,X17) | ~rewrite(X15,sK0(a,b)) | ~transitive_reflexive_rewrite(X17,X18) | ~transitive_reflexive_rewrite(c,X14) | ~transitive_reflexive_rewrite(X18,X19)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9082,f42])). 252.23/32.08 fof(f9082,plain,( 252.23/32.08 ( ! [X11,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(X15,sK1(sK0(a,b),X13)) | ~transitive_reflexive_rewrite(c,X12) | ~rewrite(X11,X13) | ~transitive_reflexive_rewrite(X12,X14) | ~rewrite(X11,sK0(a,b)) | ~transitive_reflexive_rewrite(X14,X15)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8952,f42])). 252.23/32.08 fof(f8952,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9] : (~transitive_reflexive_rewrite(X11,sK1(sK0(a,b),X9)) | ~rewrite(X8,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X10) | ~rewrite(X8,X9) | ~transitive_reflexive_rewrite(X10,X11)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8908,f42])). 252.23/32.08 fof(f8908,plain,( 252.23/32.08 ( ! [X2,X3,X4] : (~transitive_reflexive_rewrite(X4,sK1(sK0(a,b),X3)) | ~rewrite(X2,X3) | ~rewrite(X2,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X4)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8880,f42])). 252.23/32.08 fof(f8880,plain,( 252.23/32.08 ( ! [X3,X4] : (~transitive_reflexive_rewrite(c,sK1(sK0(a,b),X3)) | ~rewrite(X4,sK0(a,b)) | ~rewrite(X4,X3)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8873,f38])). 252.23/32.08 fof(f20895,plain,( 252.23/32.08 spl3_7 | spl3_122 | ~spl3_2 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f20891,f8872,f50,f20893,f238])). 252.23/32.08 fof(f20893,plain,( 252.23/32.08 spl3_122 <=> ! [X2,X6,X4,X3,X0,X5,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X5) | ~rewrite(X4,sK0(a,b)) | ~transitive_reflexive_rewrite(X6,X5) | ~transitive_reflexive_rewrite(X3,X6) | ~rewrite(X4,X5) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X2,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_122])])). 252.23/32.08 fof(f20891,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X6,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X1,X3) | ~rewrite(X4,X5) | ~transitive_reflexive_rewrite(X3,X6) | ~transitive_reflexive_rewrite(X2,X0) | ~transitive_reflexive_rewrite(X6,X5) | ~rewrite(X4,sK0(a,b)) | ~rewrite(a,X5) | a = b) ) | (~spl3_2 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f20889,f52])). 252.23/32.08 fof(f20889,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X6,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X1,X3) | ~rewrite(X4,X5) | ~transitive_reflexive_rewrite(X3,X6) | ~transitive_reflexive_rewrite(X2,X0) | ~transitive_reflexive_rewrite(X6,X5) | ~rewrite(X4,sK0(a,b)) | ~rewrite(a,X5) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f18781,f36])). 252.23/32.08 fof(f20612,plain,( 252.23/32.08 spl3_7 | spl3_121 | ~spl3_2 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f20608,f8872,f50,f20610,f238])). 252.23/32.08 fof(f20610,plain,( 252.23/32.08 spl3_121 <=> ! [X4,X0,X3,X2,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X3,X4) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X0,X3) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_121])])). 252.23/32.08 fof(f20608,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X3) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X4,a) | a = b) ) | (~spl3_2 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f20603,f52])). 252.23/32.08 fof(f20603,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X3) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f12922,f74])). 252.23/32.08 fof(f12922,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12,X13] : (~transitive_reflexive_rewrite(X13,sK0(a,b)) | ~rewrite(a,X9) | ~transitive_reflexive_rewrite(X10,sK0(a,b)) | ~transitive_reflexive_rewrite(X9,X8) | ~transitive_reflexive_rewrite(X10,X8) | ~transitive_reflexive_rewrite(X9,X11) | ~rewrite(a,X10) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(c,X8) | ~transitive_reflexive_rewrite(X12,X13)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f10870,f42])). 252.23/32.08 fof(f10870,plain,( 252.23/32.08 ( ! [X10,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X10,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X7) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(X6,sK0(a,b)) | ~transitive_reflexive_rewrite(X8,X7) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X8,X9) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X9,X10)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9208,f42])). 252.23/32.08 fof(f9208,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X7,sK0(a,b)) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(c,X5) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X4,sK0(a,b)) | ~transitive_reflexive_rewrite(X6,X5) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X6,X7)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9054,f42])). 252.23/32.08 fof(f9054,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~transitive_reflexive_rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(X3,X4) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(c,X4) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X3,sK0(a,b)) | ~transitive_reflexive_rewrite(X5,X4)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8927,f41])). 252.23/32.08 fof(f8927,plain,( 252.23/32.08 ( ! [X2,X3,X4] : (~transitive_reflexive_rewrite(X4,sK2(X3,sK0(a,b))) | ~transitive_reflexive_rewrite(X2,sK0(a,b)) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(c,X4)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8882,f42])). 252.23/32.08 fof(f8882,plain,( 252.23/32.08 ( ! [X8,X7] : (~transitive_reflexive_rewrite(c,sK2(X7,sK0(a,b))) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(X8,sK0(a,b)) | ~transitive_reflexive_rewrite(X8,X7)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8873,f40])). 252.23/32.08 fof(f20587,plain,( 252.23/32.08 spl3_7 | spl3_120 | ~spl3_2 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f20583,f8872,f50,f20585,f238])). 252.23/32.08 fof(f20585,plain,( 252.23/32.08 spl3_120 <=> ! [X2,X4,X0,X3,X1] : (~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X3,X4) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,X2) | ~transitive_reflexive_rewrite(X1,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_120])])). 252.23/32.08 fof(f20583,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X3,X2) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X4,a) | a = b) ) | (~spl3_2 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f20578,f52])). 252.23/32.08 fof(f20578,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X3,X2) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f12881,f74])). 252.23/32.08 fof(f12881,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12,X13] : (~transitive_reflexive_rewrite(X13,sK0(a,b)) | ~transitive_reflexive_rewrite(X9,sK0(a,b)) | ~transitive_reflexive_rewrite(X8,X10) | ~rewrite(a,X11) | ~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(X11,X10) | ~rewrite(a,X9) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(c,X8) | ~transitive_reflexive_rewrite(X12,X13)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f10679,f42])). 252.23/32.08 fof(f10679,plain,( 252.23/32.08 ( ! [X10,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X10,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X7) | ~transitive_reflexive_rewrite(X6,sK0(a,b)) | ~transitive_reflexive_rewrite(X7,X8) | ~rewrite(a,X9) | ~transitive_reflexive_rewrite(X6,X8) | ~transitive_reflexive_rewrite(X9,X8) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X9,X10)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9168,f42])). 252.23/32.08 fof(f9168,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X7,sK0(a,b)) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(X4,sK0(a,b)) | ~transitive_reflexive_rewrite(X6,X5) | ~rewrite(a,X7) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X7,X5)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9056,f41])). 252.23/32.08 fof(f9056,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9] : (~transitive_reflexive_rewrite(X11,sK2(X9,sK0(a,b))) | ~transitive_reflexive_rewrite(X8,X9) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(c,X10) | ~transitive_reflexive_rewrite(X8,sK0(a,b)) | ~transitive_reflexive_rewrite(X10,X11)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8927,f42])). 252.23/32.08 fof(f20570,plain,( 252.23/32.08 spl3_7 | spl3_119 | ~spl3_2 | ~spl3_37 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f20566,f8872,f3518,f50,f20568,f238])). 252.23/32.08 fof(f20568,plain,( 252.23/32.08 spl3_119 <=> ! [X2,X4,X0,X3,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(X3,a) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X4,X2) | ~rewrite(a,X0) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(X2,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_119])])). 252.23/32.08 fof(f3518,plain,( 252.23/32.08 spl3_37 <=> transitive_reflexive_rewrite(a,sK0(a,b))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_37])])). 252.23/32.08 fof(f20566,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X1) | ~rewrite(a,X3) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X3,a) | ~transitive_reflexive_rewrite(X4,X2) | ~transitive_reflexive_rewrite(X0,a) | a = b) ) | (~spl3_2 | ~spl3_37 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f20561,f52])). 252.23/32.08 fof(f20561,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X1) | ~rewrite(a,X3) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X3,a) | ~transitive_reflexive_rewrite(X4,X2) | ~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f20558,f74])). 252.23/32.08 fof(f20558,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12,X13] : (~transitive_reflexive_rewrite(X13,sK0(a,b)) | ~transitive_reflexive_rewrite(X10,X11) | ~transitive_reflexive_rewrite(X9,X11) | ~rewrite(a,X12) | ~rewrite(a,X10) | ~transitive_reflexive_rewrite(X12,X11) | ~transitive_reflexive_rewrite(c,X8) | ~transitive_reflexive_rewrite(X12,a) | ~transitive_reflexive_rewrite(X8,X9) | ~transitive_reflexive_rewrite(X10,X13)) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f20549,f42])). 252.23/32.08 fof(f20549,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(X17,sK0(a,b)) | ~transitive_reflexive_rewrite(X18,X19) | ~transitive_reflexive_rewrite(X17,X20) | ~transitive_reflexive_rewrite(X19,X20) | ~rewrite(a,X21) | ~rewrite(a,X17) | ~transitive_reflexive_rewrite(X21,X20) | ~transitive_reflexive_rewrite(c,X18) | ~transitive_reflexive_rewrite(X21,a)) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f12696,f3520])). 252.23/32.08 fof(f3520,plain,( 252.23/32.08 transitive_reflexive_rewrite(a,sK0(a,b)) | ~spl3_37), 252.23/32.08 inference(avatar_component_clause,[],[f3518])). 252.23/32.08 fof(f12696,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12,X13] : (~transitive_reflexive_rewrite(X13,sK0(a,b)) | ~transitive_reflexive_rewrite(X9,sK0(a,b)) | ~transitive_reflexive_rewrite(X8,X10) | ~transitive_reflexive_rewrite(X9,X11) | ~transitive_reflexive_rewrite(X10,X11) | ~rewrite(a,X12) | ~rewrite(a,X9) | ~transitive_reflexive_rewrite(X12,X11) | ~transitive_reflexive_rewrite(c,X8) | ~transitive_reflexive_rewrite(X12,X13)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9321,f42])). 252.23/32.08 fof(f9321,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~transitive_reflexive_rewrite(X9,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X5,X8) | ~transitive_reflexive_rewrite(X7,X8) | ~rewrite(a,X9) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X9,X8)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9170,f41])). 252.23/32.08 fof(f9170,plain,( 252.23/32.08 ( ! [X11,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(X15,sK2(X12,sK0(a,b))) | ~rewrite(a,X11) | ~transitive_reflexive_rewrite(c,X13) | ~transitive_reflexive_rewrite(X11,sK0(a,b)) | ~transitive_reflexive_rewrite(X13,X14) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(X14,X15)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9056,f42])). 252.23/32.08 fof(f20555,plain,( 252.23/32.08 spl3_7 | spl3_118 | ~spl3_2 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f20551,f8872,f50,f20553,f238])). 252.23/32.08 fof(f20553,plain,( 252.23/32.08 spl3_118 <=> ! [X2,X4,X0,X3,X1] : (~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(c,X1) | ~rewrite(a,X0) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(X0,X3) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X2,X3))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_118])])). 252.23/32.08 fof(f20551,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X3) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X4) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X4,a) | a = b) ) | (~spl3_2 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f20546,f52])). 252.23/32.08 fof(f20546,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X3) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X4) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f12696,f74])). 252.23/32.08 fof(f20390,plain,( 252.23/32.08 spl3_117 | spl3_89 | ~spl3_33 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f20386,f8872,f3489,f10688,f20388])). 252.23/32.08 fof(f20388,plain,( 252.23/32.08 spl3_117 <=> ! [X9,X7,X6,X8] : (~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(sK0(a,b),X8) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(X9,X8) | ~transitive_reflexive_rewrite(X7,X9))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_117])])). 252.23/32.08 fof(f10688,plain,( 252.23/32.08 spl3_89 <=> ! [X3] : (~rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,sK0(a,b)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_89])])). 252.23/32.08 fof(f20386,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~transitive_reflexive_rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X7,X9) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X9,X8) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(sK0(a,b),X8)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f20385,f42])). 252.23/32.08 fof(f20385,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~transitive_reflexive_rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X5,X8) | ~transitive_reflexive_rewrite(X7,X9) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X9,X8) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(sK0(a,b),X8)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f20381,f3490])). 252.23/32.08 fof(f20381,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~transitive_reflexive_rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X5,X8) | ~transitive_reflexive_rewrite(X7,X9) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X9,X8) | ~rewrite(a,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(sK0(a,b),X8)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f11934,f43])). 252.23/32.08 fof(f11934,plain,( 252.23/32.08 ( ! [X10,X11,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X11,sK0(a,b)) | ~transitive_reflexive_rewrite(X7,sK0(a,b)) | ~transitive_reflexive_rewrite(X6,X8) | ~transitive_reflexive_rewrite(X7,X9) | ~transitive_reflexive_rewrite(X8,X10) | ~rewrite(a,X7) | ~transitive_reflexive_rewrite(X10,X9) | ~rewrite(a,X11) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(X11,X9)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9323,f41])). 252.23/32.08 fof(f9323,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X19,sK2(X17,sK0(a,b))) | ~transitive_reflexive_rewrite(c,X15) | ~transitive_reflexive_rewrite(X14,sK0(a,b)) | ~transitive_reflexive_rewrite(X15,X16) | ~transitive_reflexive_rewrite(X14,X17) | ~transitive_reflexive_rewrite(X16,X18) | ~rewrite(a,X14) | ~transitive_reflexive_rewrite(X18,X19)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9170,f42])). 252.23/32.08 fof(f19958,plain,( 252.23/32.08 spl3_116 | spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f19954,f1685,f19956])). 252.23/32.08 fof(f19956,plain,( 252.23/32.08 spl3_116 <=> ! [X4,X3,X2,X1] : (~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X3,X4) | ~rewrite(b,X4) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(c,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_116])])). 252.23/32.08 fof(f19954,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (b = X0 | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(b,X4) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(b,X0)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f19953])). 252.23/32.08 fof(f19953,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (b = X0 | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(b,X4) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(b,X0) | ~rewrite(b,X4) | b = X0 | ~transitive_reflexive_rewrite(b,X0)) )), 252.23/32.08 inference(resolution,[],[f19952,f36])). 252.23/32.08 fof(f19952,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~rewrite(X3,sK0(b,X1)) | b = X1 | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X2,X4) | ~rewrite(X3,X5) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(b,X1) | ~rewrite(b,X5)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f19951])). 252.23/32.08 fof(f19951,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~transitive_reflexive_rewrite(c,X0) | b = X1 | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(X3,sK0(b,X1)) | ~transitive_reflexive_rewrite(X2,X4) | ~rewrite(X3,X5) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(b,X1) | ~rewrite(b,X5) | b = X1 | ~transitive_reflexive_rewrite(b,X1)) )), 252.23/32.08 inference(resolution,[],[f16466,f36])). 252.23/32.08 fof(f16466,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X7,X12,X13] : (~rewrite(X13,sK0(b,X7)) | ~transitive_reflexive_rewrite(c,X8) | b = X7 | ~transitive_reflexive_rewrite(X8,X9) | ~rewrite(X10,sK0(b,X7)) | ~transitive_reflexive_rewrite(X9,X11) | ~rewrite(X10,X12) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(b,X7) | ~rewrite(X13,X12)) )), 252.23/32.08 inference(resolution,[],[f6417,f39])). 252.23/32.08 fof(f6417,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X22,X23,X20] : (~transitive_reflexive_rewrite(X23,sK1(sK0(b,X19),X18)) | ~transitive_reflexive_rewrite(b,X19) | ~transitive_reflexive_rewrite(c,X20) | b = X19 | ~transitive_reflexive_rewrite(X20,X21) | ~rewrite(X17,sK0(b,X19)) | ~transitive_reflexive_rewrite(X21,X22) | ~rewrite(X17,X18) | ~transitive_reflexive_rewrite(X22,X23)) )), 252.23/32.08 inference(resolution,[],[f2901,f42])). 252.23/32.08 fof(f2901,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X19,sK1(sK0(b,X15),X16)) | ~rewrite(X14,X16) | ~transitive_reflexive_rewrite(b,X15) | ~transitive_reflexive_rewrite(c,X17) | b = X15 | ~transitive_reflexive_rewrite(X17,X18) | ~rewrite(X14,sK0(b,X15)) | ~transitive_reflexive_rewrite(X18,X19)) )), 252.23/32.08 inference(resolution,[],[f1344,f42])). 252.23/32.08 fof(f1344,plain,( 252.23/32.08 ( ! [X11,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(X15,sK1(sK0(b,X11),X13)) | ~rewrite(X12,sK0(b,X11)) | ~rewrite(X12,X13) | ~transitive_reflexive_rewrite(b,X11) | ~transitive_reflexive_rewrite(c,X14) | b = X11 | ~transitive_reflexive_rewrite(X14,X15)) )), 252.23/32.08 inference(resolution,[],[f586,f42])). 252.23/32.08 fof(f586,plain,( 252.23/32.08 ( ! [X3,X6,X4,X5] : (~transitive_reflexive_rewrite(X6,sK1(sK0(b,X3),X5)) | b = X3 | ~rewrite(X4,sK0(b,X3)) | ~rewrite(X4,X5) | ~transitive_reflexive_rewrite(b,X3) | ~transitive_reflexive_rewrite(c,X6)) )), 252.23/32.08 inference(resolution,[],[f150,f42])). 252.23/32.08 fof(f150,plain,( 252.23/32.08 ( ! [X8,X9,X7] : (~transitive_reflexive_rewrite(c,sK1(sK0(b,X7),X8)) | ~transitive_reflexive_rewrite(b,X7) | b = X7 | ~rewrite(X9,sK0(b,X7)) | ~rewrite(X9,X8)) )), 252.23/32.08 inference(resolution,[],[f83,f38])). 252.23/32.08 fof(f18289,plain,( 252.23/32.08 spl3_115 | ~spl3_34 | ~spl3_113), 252.23/32.08 inference(avatar_split_clause,[],[f18275,f18268,f3493,f18285])). 252.23/32.08 fof(f18285,plain,( 252.23/32.08 spl3_115 <=> b = sK0(a,b)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_115])])). 252.23/32.08 fof(f18268,plain,( 252.23/32.08 spl3_113 <=> ! [X1] : (~transitive_reflexive_rewrite(sK0(a,b),X1) | sK0(a,b) = X1)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_113])])). 252.23/32.08 fof(f18275,plain,( 252.23/32.08 b = sK0(a,b) | (~spl3_34 | ~spl3_113)), 252.23/32.08 inference(resolution,[],[f18269,f3494])). 252.23/32.08 fof(f18269,plain,( 252.23/32.08 ( ! [X1] : (~transitive_reflexive_rewrite(sK0(a,b),X1) | sK0(a,b) = X1) ) | ~spl3_113), 252.23/32.08 inference(avatar_component_clause,[],[f18268])). 252.23/32.08 fof(f18288,plain,( 252.23/32.08 spl3_7 | spl3_115 | ~spl3_2 | ~spl3_113), 252.23/32.08 inference(avatar_split_clause,[],[f18283,f18268,f50,f18285,f238])). 252.23/32.08 fof(f18283,plain,( 252.23/32.08 b = sK0(a,b) | a = b | (~spl3_2 | ~spl3_113)), 252.23/32.08 inference(subsumption_resolution,[],[f18274,f52])). 252.23/32.08 fof(f18274,plain,( 252.23/32.08 b = sK0(a,b) | a = b | ~transitive_reflexive_rewrite(a,b) | ~spl3_113), 252.23/32.08 inference(resolution,[],[f18269,f37])). 252.23/32.08 fof(f18273,plain,( 252.23/32.08 spl3_113 | spl3_114 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f18266,f8872,f18271,f18268])). 252.23/32.08 fof(f18271,plain,( 252.23/32.08 spl3_114 <=> ! [X0] : (~rewrite(sK0(a,b),X0) | ~transitive_reflexive_rewrite(c,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_114])])). 252.23/32.08 fof(f18266,plain,( 252.23/32.08 ( ! [X0,X1] : (~rewrite(sK0(a,b),X0) | ~transitive_reflexive_rewrite(sK0(a,b),X1) | ~transitive_reflexive_rewrite(c,X0) | sK0(a,b) = X1) ) | ~spl3_61), 252.23/32.08 inference(duplicate_literal_removal,[],[f18265])). 252.23/32.08 fof(f18265,plain,( 252.23/32.08 ( ! [X0,X1] : (~rewrite(sK0(a,b),X0) | ~transitive_reflexive_rewrite(sK0(a,b),X1) | ~transitive_reflexive_rewrite(c,X0) | sK0(a,b) = X1 | ~rewrite(sK0(a,b),X0) | sK0(a,b) = X1 | ~transitive_reflexive_rewrite(sK0(a,b),X1)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f18264,f36])). 252.23/32.08 fof(f18264,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(X0,sK0(sK0(a,b),X1)) | ~rewrite(X0,X2) | ~transitive_reflexive_rewrite(sK0(a,b),X1) | ~transitive_reflexive_rewrite(c,X2) | sK0(a,b) = X1 | ~rewrite(sK0(a,b),X2)) ) | ~spl3_61), 252.23/32.08 inference(duplicate_literal_removal,[],[f18263])). 252.23/32.08 fof(f18263,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(X0,sK0(sK0(a,b),X1)) | ~rewrite(X0,X2) | ~transitive_reflexive_rewrite(sK0(a,b),X1) | ~transitive_reflexive_rewrite(c,X2) | sK0(a,b) = X1 | ~rewrite(sK0(a,b),X2) | sK0(a,b) = X1 | ~transitive_reflexive_rewrite(sK0(a,b),X1)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f14648,f36])). 252.23/32.08 fof(f14648,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~rewrite(X7,sK0(sK0(a,b),X4)) | ~rewrite(X5,sK0(sK0(a,b),X4)) | ~rewrite(X5,X6) | ~transitive_reflexive_rewrite(sK0(a,b),X4) | ~transitive_reflexive_rewrite(c,X6) | sK0(a,b) = X4 | ~rewrite(X7,X6)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f11203,f39])). 252.23/32.08 fof(f11203,plain,( 252.23/32.08 ( ! [X3,X6,X4,X5] : (~transitive_reflexive_rewrite(X6,sK1(sK0(sK0(a,b),X3),X5)) | sK0(a,b) = X3 | ~rewrite(X4,sK0(sK0(a,b),X3)) | ~rewrite(X4,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X3) | ~transitive_reflexive_rewrite(c,X6)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9009,f42])). 252.23/32.08 fof(f9009,plain,( 252.23/32.08 ( ! [X8,X9,X7] : (~transitive_reflexive_rewrite(c,sK1(sK0(sK0(a,b),X7),X8)) | ~transitive_reflexive_rewrite(sK0(a,b),X7) | sK0(a,b) = X7 | ~rewrite(X9,sK0(sK0(a,b),X7)) | ~rewrite(X9,X8)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8893,f38])). 252.23/32.08 fof(f8893,plain,( 252.23/32.08 ( ! [X6,X7] : (~transitive_reflexive_rewrite(sK0(sK0(a,b),X6),X7) | ~transitive_reflexive_rewrite(c,X7) | ~transitive_reflexive_rewrite(sK0(a,b),X6) | sK0(a,b) = X6) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8878,f74])). 252.23/32.08 fof(f16245,plain,( 252.23/32.08 spl3_43 | spl3_112 | ~spl3_33 | ~spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f16244,f3493,f3489,f16241,f3936])). 252.23/32.08 fof(f3936,plain,( 252.23/32.08 spl3_43 <=> ! [X0] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_43])])). 252.23/32.08 fof(f16241,plain,( 252.23/32.08 spl3_112 <=> ! [X3,X4,X0,X5,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(b,X5) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X4,X0) | ~transitive_reflexive_rewrite(X1,X3))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_112])])). 252.23/32.08 fof(f16244,plain,( 252.23/32.08 ( ! [X10,X11,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X8,b) | ~transitive_reflexive_rewrite(X7,X9) | ~transitive_reflexive_rewrite(c,X10) | ~transitive_reflexive_rewrite(X9,X11) | ~transitive_reflexive_rewrite(X10,X6) | ~transitive_reflexive_rewrite(b,X11) | ~rewrite(a,X8)) ) | (~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f16230,f42])). 252.23/32.08 fof(f16230,plain,( 252.23/32.08 ( ! [X10,X11,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X8,b) | ~transitive_reflexive_rewrite(X7,X9) | ~transitive_reflexive_rewrite(c,X10) | ~transitive_reflexive_rewrite(X9,X11) | ~transitive_reflexive_rewrite(X8,X11) | ~transitive_reflexive_rewrite(X10,X6) | ~transitive_reflexive_rewrite(b,X11) | ~rewrite(a,X8)) ) | (~spl3_33 | ~spl3_34)), 252.23/32.08 inference(resolution,[],[f16221,f3494])). 252.23/32.08 fof(f16221,plain,( 252.23/32.08 ( ! [X21,X18,X19,X16,X17,X15,X20] : (~transitive_reflexive_rewrite(sK0(a,b),X21) | ~transitive_reflexive_rewrite(X16,X17) | ~transitive_reflexive_rewrite(X15,b) | ~transitive_reflexive_rewrite(X17,X18) | ~transitive_reflexive_rewrite(c,X19) | ~transitive_reflexive_rewrite(X18,X20) | ~transitive_reflexive_rewrite(X15,X20) | ~transitive_reflexive_rewrite(X19,X16) | ~transitive_reflexive_rewrite(X21,X20) | ~rewrite(a,X15)) ) | (~spl3_33 | ~spl3_34)), 252.23/32.08 inference(resolution,[],[f16212,f42])). 252.23/32.08 fof(f16212,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,b),X5) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X2,X5) | ~transitive_reflexive_rewrite(X0,X1)) ) | (~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f16210,f3494])). 252.23/32.08 fof(f16210,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X2,X5) | ~transitive_reflexive_rewrite(sK0(a,b),b) | ~transitive_reflexive_rewrite(sK0(a,b),X5)) ) | ~spl3_33), 252.23/32.08 inference(resolution,[],[f5108,f3490])). 252.23/32.08 fof(f5108,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X7,X12,X13] : (~rewrite(a,X13) | ~transitive_reflexive_rewrite(X9,X10) | ~rewrite(a,X7) | ~transitive_reflexive_rewrite(X10,X11) | ~transitive_reflexive_rewrite(X7,b) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(c,X9) | ~transitive_reflexive_rewrite(X12,X8) | ~transitive_reflexive_rewrite(X7,X8) | ~transitive_reflexive_rewrite(X13,b) | ~transitive_reflexive_rewrite(X13,X8)) )), 252.23/32.08 inference(resolution,[],[f2177,f41])). 252.23/32.08 fof(f2177,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X22,X23,X20] : (~transitive_reflexive_rewrite(X23,sK2(X19,b)) | ~transitive_reflexive_rewrite(X18,X19) | ~transitive_reflexive_rewrite(X17,X20) | ~rewrite(a,X18) | ~transitive_reflexive_rewrite(X20,X21) | ~transitive_reflexive_rewrite(X18,b) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(c,X17) | ~transitive_reflexive_rewrite(X22,X23)) )), 252.23/32.08 inference(resolution,[],[f1034,f42])). 252.23/32.08 fof(f1034,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X19,sK2(X16,b)) | ~transitive_reflexive_rewrite(c,X15) | ~transitive_reflexive_rewrite(X14,X16) | ~transitive_reflexive_rewrite(X15,X17) | ~rewrite(a,X14) | ~transitive_reflexive_rewrite(X17,X18) | ~transitive_reflexive_rewrite(X14,b) | ~transitive_reflexive_rewrite(X18,X19)) )), 252.23/32.08 inference(resolution,[],[f471,f42])). 252.23/32.08 fof(f471,plain,( 252.23/32.08 ( ! [X11,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(X15,sK2(X13,b)) | ~transitive_reflexive_rewrite(X11,b) | ~transitive_reflexive_rewrite(c,X12) | ~transitive_reflexive_rewrite(X11,X13) | ~transitive_reflexive_rewrite(X12,X14) | ~rewrite(a,X11) | ~transitive_reflexive_rewrite(X14,X15)) )), 252.23/32.08 inference(resolution,[],[f212,f42])). 252.23/32.08 fof(f16243,plain,( 252.23/32.08 spl3_7 | spl3_43 | spl3_112 | ~spl3_2 | ~spl3_33 | ~spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f16239,f3493,f3489,f50,f16241,f3936,f238])). 252.23/32.08 fof(f16239,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(X4,X0) | ~transitive_reflexive_rewrite(b,X5) | ~rewrite(a,X2) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f16238,f42])). 252.23/32.08 fof(f16238,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(X2,X5) | ~transitive_reflexive_rewrite(X4,X0) | ~transitive_reflexive_rewrite(b,X5) | ~rewrite(a,X2) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f16229,f52])). 252.23/32.08 fof(f16229,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(X2,X5) | ~transitive_reflexive_rewrite(X4,X0) | ~transitive_reflexive_rewrite(b,X5) | ~rewrite(a,X2) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_34)), 252.23/32.08 inference(resolution,[],[f16221,f37])). 252.23/32.08 fof(f15228,plain,( 252.23/32.08 spl3_7 | spl3_111 | ~spl3_2 | ~spl3_37 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f15224,f8872,f3518,f50,f15226,f238])). 252.23/32.08 fof(f15226,plain,( 252.23/32.08 spl3_111 <=> ! [X2,X4,X0,X3,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X2,X4) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,a) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X0,X3) | ~transitive_reflexive_rewrite(X2,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_111])])). 252.23/32.08 fof(f15224,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(X0,X3) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X3,a) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X2,X4) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X4,a) | a = b) ) | (~spl3_2 | ~spl3_37 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f15219,f52])). 252.23/32.08 fof(f15219,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(X0,X3) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X3,a) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X2,X4) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f12944,f74])). 252.23/32.08 fof(f12944,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12,X13] : (~transitive_reflexive_rewrite(X13,sK0(a,b)) | ~transitive_reflexive_rewrite(X9,X8) | ~transitive_reflexive_rewrite(X10,X8) | ~transitive_reflexive_rewrite(X9,X11) | ~rewrite(a,X10) | ~transitive_reflexive_rewrite(X11,a) | ~rewrite(a,X9) | ~transitive_reflexive_rewrite(X10,X12) | ~transitive_reflexive_rewrite(c,X8) | ~transitive_reflexive_rewrite(X12,X13)) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f12932,f42])). 252.23/32.08 fof(f12932,plain,( 252.23/32.08 ( ! [X10,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X10,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X7) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X8,X7) | ~transitive_reflexive_rewrite(X6,X9) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(X9,a) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X8,X10)) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f12923,f42])). 252.23/32.08 fof(f12923,plain,( 252.23/32.08 ( ! [X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X16,sK0(a,b)) | ~rewrite(a,X15) | ~transitive_reflexive_rewrite(c,X14) | ~transitive_reflexive_rewrite(X15,X14) | ~transitive_reflexive_rewrite(X16,X14) | ~transitive_reflexive_rewrite(X15,X17) | ~rewrite(a,X16) | ~transitive_reflexive_rewrite(X17,a)) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f10870,f3520])). 252.23/32.08 fof(f15216,plain,( 252.23/32.08 spl3_7 | spl3_110 | ~spl3_2 | ~spl3_37 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f15212,f8872,f3518,f50,f15214,f238])). 252.23/32.08 fof(f15214,plain,( 252.23/32.08 spl3_110 <=> ! [X2,X4,X0,X3,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X3,X2) | ~transitive_reflexive_rewrite(X0,a) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_110])])). 252.23/32.08 fof(f15212,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(X3,X2) | ~transitive_reflexive_rewrite(X4,a) | a = b) ) | (~spl3_2 | ~spl3_37 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f15207,f52])). 252.23/32.08 fof(f15207,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(X3,X2) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f12903,f74])). 252.23/32.08 fof(f12903,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12,X13] : (~transitive_reflexive_rewrite(X13,sK0(a,b)) | ~rewrite(a,X10) | ~transitive_reflexive_rewrite(X11,X9) | ~transitive_reflexive_rewrite(X10,X9) | ~rewrite(a,X11) | ~transitive_reflexive_rewrite(X10,a) | ~transitive_reflexive_rewrite(c,X8) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(X8,X9) | ~transitive_reflexive_rewrite(X12,X13)) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f12898,f42])). 252.23/32.08 fof(f12898,plain,( 252.23/32.08 ( ! [X10,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X10,sK0(a,b)) | ~transitive_reflexive_rewrite(X6,X7) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(X9,X7) | ~transitive_reflexive_rewrite(X8,X7) | ~rewrite(a,X9) | ~transitive_reflexive_rewrite(X8,a) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(X9,X10)) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f12882,f42])). 252.23/32.08 fof(f12882,plain,( 252.23/32.08 ( ! [X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X15,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X14) | ~transitive_reflexive_rewrite(X14,X16) | ~rewrite(a,X17) | ~transitive_reflexive_rewrite(X15,X16) | ~transitive_reflexive_rewrite(X17,X16) | ~rewrite(a,X15) | ~transitive_reflexive_rewrite(X17,a)) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f10679,f3520])). 252.23/32.08 fof(f15204,plain,( 252.23/32.08 spl3_7 | spl3_109 | ~spl3_2 | ~spl3_37 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f15200,f8872,f3518,f50,f15202,f238])). 252.23/32.08 fof(f15202,plain,( 252.23/32.08 spl3_109 <=> ! [X2,X4,X0,X3,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X4,a) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X3,X4) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(X2,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_109])])). 252.23/32.08 fof(f15200,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,X4) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X4,a) | a = b) ) | (~spl3_2 | ~spl3_37 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f15195,f52])). 252.23/32.08 fof(f15195,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,X4) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f11296,f74])). 252.23/32.08 fof(f11296,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12,X13] : (~transitive_reflexive_rewrite(X13,sK0(a,b)) | ~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(X8,X10) | ~transitive_reflexive_rewrite(X9,a) | ~transitive_reflexive_rewrite(c,X10) | ~transitive_reflexive_rewrite(X8,X11) | ~rewrite(a,X9) | ~transitive_reflexive_rewrite(X11,X12) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(X12,X13)) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f10885,f42])). 252.23/32.08 fof(f10885,plain,( 252.23/32.08 ( ! [X10,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X10,sK0(a,b)) | ~rewrite(a,X7) | ~transitive_reflexive_rewrite(X6,X8) | ~transitive_reflexive_rewrite(X7,X8) | ~transitive_reflexive_rewrite(X6,a) | ~transitive_reflexive_rewrite(c,X8) | ~transitive_reflexive_rewrite(X7,X9) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X9,X10)) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f10880,f42])). 252.23/32.08 fof(f10880,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X7,sK0(a,b)) | ~rewrite(a,X5) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X5,X4) | ~transitive_reflexive_rewrite(X6,X4) | ~transitive_reflexive_rewrite(X5,a) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X6,X7)) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f10871,f42])). 252.23/32.08 fof(f10871,plain,( 252.23/32.08 ( ! [X11,X12,X13] : (~transitive_reflexive_rewrite(X11,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X12) | ~rewrite(a,X13) | ~rewrite(a,X11) | ~transitive_reflexive_rewrite(X13,X12) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(X13,a)) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f9208,f3520])). 252.23/32.08 fof(f14958,plain,( 252.23/32.08 spl3_7 | spl3_108 | ~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48), 252.23/32.08 inference(avatar_split_clause,[],[f14954,f7652,f3493,f3489,f50,f14956,f238])). 252.23/32.08 fof(f14956,plain,( 252.23/32.08 spl3_108 <=> ! [X5,X3,X4,X0,X6,X2,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X6,a) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X3,X0) | ~transitive_reflexive_rewrite(X2,c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_108])])). 252.23/32.08 fof(f7652,plain,( 252.23/32.08 spl3_48 <=> ! [X0] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X0,sK2(c,sK0(a,b))))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_48])])). 252.23/32.08 fof(f14954,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X6,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(X2,c) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X3,X0) | ~transitive_reflexive_rewrite(X5,X6) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X6,a) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(subsumption_resolution,[],[f14949,f52])). 252.23/32.08 fof(f14949,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X6,X4,X5] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X1,X4) | ~transitive_reflexive_rewrite(X2,c) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X3,X0) | ~transitive_reflexive_rewrite(X5,X6) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X6,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f11226,f74])). 252.23/32.08 fof(f11226,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15,X12,X13] : (~transitive_reflexive_rewrite(X19,sK0(a,b)) | ~transitive_reflexive_rewrite(X13,X14) | ~transitive_reflexive_rewrite(X12,X15) | ~transitive_reflexive_rewrite(X14,X16) | ~transitive_reflexive_rewrite(X12,c) | ~transitive_reflexive_rewrite(X16,X17) | ~transitive_reflexive_rewrite(X15,X13) | ~transitive_reflexive_rewrite(X17,X18) | ~rewrite(a,X12) | ~transitive_reflexive_rewrite(X18,X19)) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f8588,f42])). 252.23/32.08 fof(f8588,plain,( 252.23/32.08 ( ! [X10,X11,X16,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(X16,sK0(a,b)) | ~rewrite(a,X12) | ~transitive_reflexive_rewrite(X11,X13) | ~transitive_reflexive_rewrite(X12,X10) | ~transitive_reflexive_rewrite(X13,X14) | ~transitive_reflexive_rewrite(X12,c) | ~transitive_reflexive_rewrite(X14,X15) | ~transitive_reflexive_rewrite(X10,X11) | ~transitive_reflexive_rewrite(X15,X16)) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f8032,f42])). 252.23/32.08 fof(f8032,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12,X13] : (~transitive_reflexive_rewrite(X13,sK0(a,b)) | ~transitive_reflexive_rewrite(X9,X10) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(X10,X11) | ~transitive_reflexive_rewrite(X8,X9) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(X8,c) | ~transitive_reflexive_rewrite(X12,X13)) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7793,f42])). 252.23/32.08 fof(f7793,plain,( 252.23/32.08 ( ! [X10,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X10,sK0(a,b)) | ~transitive_reflexive_rewrite(X6,c) | ~transitive_reflexive_rewrite(X7,X8) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X8,X9) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X9,X10)) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7743,f42])). 252.23/32.08 fof(f7743,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X7,sK0(a,b)) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X4,c) | ~transitive_reflexive_rewrite(X5,X6) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(X6,X7)) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7686,f42])). 252.23/32.08 fof(f7686,plain,( 252.23/32.08 ( ! [X2,X3,X4] : (~transitive_reflexive_rewrite(X4,sK0(a,b)) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X2,c) | ~transitive_reflexive_rewrite(X3,X4)) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7675,f42])). 252.23/32.08 fof(f7675,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X1)) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7661,f42])). 252.23/32.08 fof(f7661,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,c)) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(subsumption_resolution,[],[f7660,f3490])). 252.23/32.08 fof(f7660,plain,( 252.23/32.08 ( ! [X0] : (~rewrite(a,sK0(a,b)) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X0,c)) ) | (~spl3_34 | ~spl3_48)), 252.23/32.08 inference(subsumption_resolution,[],[f7655,f3494])). 252.23/32.08 fof(f7655,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(sK0(a,b),b) | ~rewrite(a,sK0(a,b)) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X0,c)) ) | ~spl3_48), 252.23/32.08 inference(resolution,[],[f7653,f40])). 252.23/32.08 fof(f7653,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(X0,sK2(c,sK0(a,b))) | ~transitive_reflexive_rewrite(X0,b) | ~rewrite(a,X0)) ) | ~spl3_48), 252.23/32.08 inference(avatar_component_clause,[],[f7652])). 252.23/32.08 fof(f13503,plain,( 252.23/32.08 ~spl3_105 | spl3_106 | ~spl3_107 | ~spl3_48), 252.23/32.08 inference(avatar_split_clause,[],[f13490,f7652,f13500,f13496,f13492])). 252.23/32.08 fof(f13496,plain,( 252.23/32.08 spl3_106 <=> a = sK2(c,sK0(a,b))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_106])])). 252.23/32.08 fof(f13500,plain,( 252.23/32.08 spl3_107 <=> transitive_reflexive_rewrite(sK0(a,sK2(c,sK0(a,b))),b)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_107])])). 252.23/32.08 fof(f13490,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,sK2(c,sK0(a,b))),b) | a = sK2(c,sK0(a,b)) | ~transitive_reflexive_rewrite(a,sK2(c,sK0(a,b))) | ~spl3_48), 252.23/32.08 inference(duplicate_literal_removal,[],[f13489])). 252.23/32.08 fof(f13489,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,sK2(c,sK0(a,b))),b) | a = sK2(c,sK0(a,b)) | ~transitive_reflexive_rewrite(a,sK2(c,sK0(a,b))) | a = sK2(c,sK0(a,b)) | ~transitive_reflexive_rewrite(a,sK2(c,sK0(a,b))) | ~spl3_48), 252.23/32.08 inference(resolution,[],[f7659,f36])). 252.23/32.08 fof(f7659,plain,( 252.23/32.08 ( ! [X4] : (~rewrite(a,sK0(X4,sK2(c,sK0(a,b)))) | ~transitive_reflexive_rewrite(sK0(X4,sK2(c,sK0(a,b))),b) | sK2(c,sK0(a,b)) = X4 | ~transitive_reflexive_rewrite(X4,sK2(c,sK0(a,b)))) ) | ~spl3_48), 252.23/32.08 inference(resolution,[],[f7653,f37])). 252.23/32.08 fof(f13199,plain,( 252.23/32.08 spl3_7 | spl3_104 | ~spl3_2 | ~spl3_33 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f13195,f8872,f3489,f50,f13197,f238])). 252.23/32.08 fof(f13197,plain,( 252.23/32.08 spl3_104 <=> ! [X2,X4,X0,X3,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X3,X4) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X2,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_104])])). 252.23/32.08 fof(f13195,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X1,X3) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X2,X0) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f13194,f52])). 252.23/32.08 fof(f13194,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X1,X3) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X2,X0) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(duplicate_literal_removal,[],[f13191])). 252.23/32.08 fof(f13191,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X1,X3) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X2,X0) | ~rewrite(a,X4) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f13185,f36])). 252.23/32.08 fof(f13185,plain,( 252.23/32.08 ( ! [X10,X11,X8,X6,X9,X7] : (~rewrite(X6,sK0(a,b)) | ~transitive_reflexive_rewrite(X7,X8) | ~transitive_reflexive_rewrite(c,X9) | ~transitive_reflexive_rewrite(X8,X10) | ~rewrite(X6,X11) | ~transitive_reflexive_rewrite(X10,X11) | ~transitive_reflexive_rewrite(X9,X7) | ~rewrite(a,X11)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f11958,f3490])). 252.23/32.08 fof(f11958,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X7,X12,X13] : (~rewrite(X13,sK0(a,b)) | ~rewrite(X9,sK0(a,b)) | ~transitive_reflexive_rewrite(X8,X10) | ~transitive_reflexive_rewrite(c,X7) | ~transitive_reflexive_rewrite(X10,X11) | ~rewrite(X9,X12) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(X7,X8) | ~rewrite(X13,X12)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f10519,f39])). 252.23/32.08 fof(f13190,plain,( 252.23/32.08 spl3_7 | spl3_103 | ~spl3_2 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f13186,f8872,f50,f13188,f238])). 252.23/32.08 fof(f13188,plain,( 252.23/32.08 spl3_103 <=> ! [X2,X3,X4,X0,X5,X1] : (~rewrite(X0,sK0(a,b)) | ~rewrite(a,X5) | ~rewrite(X0,X5) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X2,X4))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_103])])). 252.23/32.08 fof(f13186,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X2,X4) | ~rewrite(X0,X5) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X3,X1) | ~rewrite(a,X5) | a = b) ) | (~spl3_2 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f13184,f52])). 252.23/32.08 fof(f13184,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X2,X4) | ~rewrite(X0,X5) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X3,X1) | ~rewrite(a,X5) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f11958,f36])). 252.23/32.08 fof(f12929,plain,( 252.23/32.08 spl3_7 | spl3_102 | ~spl3_2 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f12925,f8872,f50,f12927,f238])). 252.23/32.08 fof(f12927,plain,( 252.23/32.08 spl3_102 <=> ! [X0,X3,X2,X1] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X3,a) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(X2,sK0(a,b)) | ~transitive_reflexive_rewrite(X2,X0) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_102])])). 252.23/32.08 fof(f12925,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X2,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X0) | ~transitive_reflexive_rewrite(X2,X0) | ~transitive_reflexive_rewrite(X1,X3) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X3,a) | a = b) ) | (~spl3_2 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f12920,f52])). 252.23/32.08 fof(f12920,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X2,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X0) | ~transitive_reflexive_rewrite(X2,X0) | ~transitive_reflexive_rewrite(X1,X3) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X3,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f10870,f74])). 252.23/32.08 fof(f12910,plain,( 252.23/32.08 spl3_7 | spl3_101 | ~spl3_2 | ~spl3_37 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f12906,f8872,f3518,f50,f12908,f238])). 252.23/32.08 fof(f12908,plain,( 252.23/32.08 spl3_101 <=> ! [X0,X3,X2,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X3,a) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X2,a) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_101])])). 252.23/32.08 fof(f12906,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(X2,X1) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X2,a) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X3,a) | a = b) ) | (~spl3_2 | ~spl3_37 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f12901,f52])). 252.23/32.08 fof(f12901,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(X2,X1) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X2,a) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X3,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f12898,f74])). 252.23/32.08 fof(f12888,plain,( 252.23/32.08 spl3_7 | spl3_100 | ~spl3_2 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f12884,f8872,f50,f12886,f238])). 252.23/32.08 fof(f12886,plain,( 252.23/32.08 spl3_100 <=> ! [X0,X3,X2,X1] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X3,a) | ~rewrite(a,X1) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,X2) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_100])])). 252.23/32.08 fof(f12884,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X3,X2) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X3,a) | a = b) ) | (~spl3_2 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f12879,f52])). 252.23/32.08 fof(f12879,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X3,X2) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X3,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f10679,f74])). 252.23/32.08 fof(f12704,plain,( 252.23/32.08 spl3_89 | spl3_99 | ~spl3_33 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f12700,f8872,f3489,f12702,f10688])). 252.23/32.08 fof(f12702,plain,( 252.23/32.08 spl3_99 <=> ! [X6,X4,X7] : (~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(sK0(a,b),X7) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X4,X6))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_99])])). 252.23/32.08 fof(f12700,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(X4,X6) | ~transitive_reflexive_rewrite(X6,X7) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X7)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f12699,f42])). 252.23/32.08 fof(f12699,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(X4,X6) | ~transitive_reflexive_rewrite(X5,X7) | ~transitive_reflexive_rewrite(X6,X7) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X7)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f12695,f3490])). 252.23/32.08 fof(f12695,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X5,sK0(a,b)) | ~transitive_reflexive_rewrite(X4,X6) | ~transitive_reflexive_rewrite(X5,X7) | ~transitive_reflexive_rewrite(X6,X7) | ~rewrite(a,sK0(a,b)) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X7)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9321,f43])). 252.23/32.08 fof(f12397,plain,( 252.23/32.08 spl3_15 | spl3_98), 252.23/32.08 inference(avatar_split_clause,[],[f12393,f12395,f1685])). 252.23/32.08 fof(f12395,plain,( 252.23/32.08 spl3_98 <=> ! [X2,X0,X3] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(b,X3) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X0,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_98])])). 252.23/32.08 fof(f12393,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(c,X0) | b = X1 | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(b,X3)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f12392])). 252.23/32.08 fof(f12392,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(c,X0) | b = X1 | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(b,X3) | ~rewrite(b,X3) | b = X1 | ~transitive_reflexive_rewrite(b,X1)) )), 252.23/32.08 inference(resolution,[],[f12384,f36])). 252.23/32.08 fof(f12384,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~rewrite(X3,sK0(b,X0)) | ~transitive_reflexive_rewrite(c,X1) | b = X0 | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(X2,X4) | ~rewrite(X3,X4) | ~rewrite(b,X4)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f12383])). 252.23/32.08 fof(f12383,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(c,X1) | b = X0 | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(X3,sK0(b,X0)) | ~transitive_reflexive_rewrite(X2,X4) | ~rewrite(X3,X4) | ~rewrite(b,X4) | b = X0 | ~transitive_reflexive_rewrite(b,X0)) )), 252.23/32.08 inference(resolution,[],[f6415,f36])). 252.23/32.08 fof(f6415,plain,( 252.23/32.08 ( ! [X10,X11,X8,X6,X9,X7] : (~rewrite(X11,sK0(b,X8)) | ~transitive_reflexive_rewrite(b,X8) | ~transitive_reflexive_rewrite(c,X9) | b = X8 | ~transitive_reflexive_rewrite(X9,X10) | ~rewrite(X6,sK0(b,X8)) | ~transitive_reflexive_rewrite(X10,X7) | ~rewrite(X6,X7) | ~rewrite(X11,X7)) )), 252.23/32.08 inference(resolution,[],[f2901,f39])). 252.23/32.08 fof(f11916,plain,( 252.23/32.08 ~spl3_96 | spl3_97 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f11908,f8872,f11914,f11910])). 252.23/32.08 fof(f11914,plain,( 252.23/32.08 spl3_97 <=> ! [X0,X1] : (sK0(a,b) = X0 | ~transitive_reflexive_rewrite(sK0(a,b),X0) | ~rewrite(X1,c) | ~rewrite(X1,sK0(sK0(a,b),X0)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_97])])). 252.23/32.08 fof(f11908,plain,( 252.23/32.08 ( ! [X0,X1] : (sK0(a,b) = X0 | ~rewrite(X1,sK0(sK0(a,b),X0)) | ~rewrite(X1,c) | ~transitive_reflexive_rewrite(sK0(a,b),X0) | ~rewrite(sK0(a,b),c)) ) | ~spl3_61), 252.23/32.08 inference(duplicate_literal_removal,[],[f11907])). 252.23/32.08 fof(f11907,plain,( 252.23/32.08 ( ! [X0,X1] : (sK0(a,b) = X0 | ~rewrite(X1,sK0(sK0(a,b),X0)) | ~rewrite(X1,c) | ~transitive_reflexive_rewrite(sK0(a,b),X0) | ~rewrite(sK0(a,b),c) | sK0(a,b) = X0 | ~transitive_reflexive_rewrite(sK0(a,b),X0)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f11202,f36])). 252.23/32.08 fof(f11202,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(X2,sK0(sK0(a,b),X0)) | sK0(a,b) = X0 | ~rewrite(X1,sK0(sK0(a,b),X0)) | ~rewrite(X1,c) | ~transitive_reflexive_rewrite(sK0(a,b),X0) | ~rewrite(X2,c)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9009,f39])). 252.23/32.08 fof(f11303,plain,( 252.23/32.08 spl3_7 | spl3_95 | ~spl3_2 | ~spl3_37 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f11299,f8872,f3518,f50,f11301,f238])). 252.23/32.08 fof(f11301,plain,( 252.23/32.08 spl3_95 <=> ! [X0,X3,X2,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,a) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X0,X3) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X1,a) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_95])])). 252.23/32.08 fof(f11299,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,a) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X0,X3) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X3,a) | a = b) ) | (~spl3_2 | ~spl3_37 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f11294,f52])). 252.23/32.08 fof(f11294,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,a) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X0,X3) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X3,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f10885,f74])). 252.23/32.08 fof(f11233,plain,( 252.23/32.08 spl3_7 | spl3_94 | ~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48), 252.23/32.08 inference(avatar_split_clause,[],[f11229,f7652,f3493,f3489,f50,f11231,f238])). 252.23/32.08 fof(f11231,plain,( 252.23/32.08 spl3_94 <=> ! [X2,X3,X4,X0,X5,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X5,a) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X0,c) | ~transitive_reflexive_rewrite(X0,X3) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X2,X4))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_94])])). 252.23/32.08 fof(f11229,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X3) | ~transitive_reflexive_rewrite(X2,X4) | ~transitive_reflexive_rewrite(X0,c) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(X5,a) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(subsumption_resolution,[],[f11224,f52])). 252.23/32.08 fof(f11224,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X3) | ~transitive_reflexive_rewrite(X2,X4) | ~transitive_reflexive_rewrite(X0,c) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(X5,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f8588,f74])). 252.23/32.08 fof(f11123,plain,( 252.23/32.08 spl3_7 | spl3_93 | ~spl3_2 | ~spl3_33 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f11119,f8872,f3489,f50,f11121,f238])). 252.23/32.08 fof(f11121,plain,( 252.23/32.08 spl3_93 <=> ! [X0,X3,X2,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X3) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X1,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_93])])). 252.23/32.08 fof(f11119,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X3) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f11118,f52])). 252.23/32.08 fof(f11118,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X3) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(duplicate_literal_removal,[],[f11115])). 252.23/32.08 fof(f11115,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X3) | ~rewrite(a,X3) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f11109,f36])). 252.23/32.08 fof(f11109,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~rewrite(X7,sK0(a,b)) | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(X6,X8) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X8,X9) | ~rewrite(X7,X9) | ~rewrite(a,X9)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f10517,f3490])). 252.23/32.08 fof(f10517,plain,( 252.23/32.08 ( ! [X10,X11,X8,X6,X9,X7] : (~rewrite(X11,sK0(a,b)) | ~transitive_reflexive_rewrite(X8,X9) | ~rewrite(X6,sK0(a,b)) | ~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(c,X8) | ~transitive_reflexive_rewrite(X10,X7) | ~rewrite(X6,X7) | ~rewrite(X11,X7)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9199,f39])). 252.23/32.08 fof(f11114,plain,( 252.23/32.08 spl3_7 | spl3_92 | ~spl3_2 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f11110,f8872,f50,f11112,f238])). 252.23/32.08 fof(f11112,plain,( 252.23/32.08 spl3_92 <=> ! [X2,X4,X0,X3,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X1,X3) | ~rewrite(X2,sK0(a,b)) | ~rewrite(X2,X4))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_92])])). 252.23/32.08 fof(f11110,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(X2,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X3,X4) | ~rewrite(X2,X4) | ~rewrite(a,X4) | a = b) ) | (~spl3_2 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f11108,f52])). 252.23/32.08 fof(f11108,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(X2,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X3,X4) | ~rewrite(X2,X4) | ~rewrite(a,X4) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f10517,f36])). 252.23/32.08 fof(f10892,plain,( 252.23/32.08 spl3_7 | spl3_91 | ~spl3_2 | ~spl3_37 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f10888,f8872,f3518,f50,f10890,f238])). 252.23/32.08 fof(f10890,plain,( 252.23/32.08 spl3_91 <=> ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,a) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_91])])). 252.23/32.08 fof(f10888,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X1,a) | a = b) ) | (~spl3_2 | ~spl3_37 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f10883,f52])). 252.23/32.08 fof(f10883,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X1,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_37 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f10880,f74])). 252.23/32.08 fof(f10877,plain,( 252.23/32.08 spl3_7 | spl3_90 | ~spl3_2 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f10873,f8872,f50,f10875,f238])). 252.23/32.08 fof(f10875,plain,( 252.23/32.08 spl3_90 <=> ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X2,a) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(c,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_90])])). 252.23/32.08 fof(f10873,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,a) | a = b) ) | (~spl3_2 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f10868,f52])). 252.23/32.08 fof(f10868,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9208,f74])). 252.23/32.08 fof(f10697,plain,( 252.23/32.08 ~spl3_33 | ~spl3_89), 252.23/32.08 inference(avatar_contradiction_clause,[],[f10696])). 252.23/32.08 fof(f10696,plain,( 252.23/32.08 $false | (~spl3_33 | ~spl3_89)), 252.23/32.08 inference(subsumption_resolution,[],[f10692,f3490])). 252.23/32.08 fof(f10692,plain,( 252.23/32.08 ~rewrite(a,sK0(a,b)) | ~spl3_89), 252.23/32.08 inference(resolution,[],[f10689,f43])). 252.23/32.08 fof(f10689,plain,( 252.23/32.08 ( ! [X3] : (~transitive_reflexive_rewrite(X3,sK0(a,b)) | ~rewrite(a,X3)) ) | ~spl3_89), 252.23/32.08 inference(avatar_component_clause,[],[f10688])). 252.23/32.08 fof(f10690,plain,( 252.23/32.08 spl3_88 | spl3_89 | ~spl3_33 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f10683,f8872,f3489,f10688,f10685])). 252.23/32.08 fof(f10683,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~rewrite(a,X3) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X3,sK0(a,b)) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X5)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f10682,f42])). 252.23/32.08 fof(f10682,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~rewrite(a,X3) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X3,sK0(a,b)) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X5)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f10678,f3490])). 252.23/32.08 fof(f10678,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~rewrite(a,X3) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X3,sK0(a,b)) | ~transitive_reflexive_rewrite(X4,X5) | ~rewrite(a,sK0(a,b)) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(sK0(a,b),X5)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9168,f43])). 252.23/32.08 fof(f10508,plain,( 252.23/32.08 spl3_87 | spl3_24 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f10028,f1685,f62,f1960,f10502])). 252.23/32.08 fof(f10502,plain,( 252.23/32.08 spl3_87 <=> ! [X3147,X3148,X3146,X3143] : (~rewrite(a,X3146) | ~rewrite(X3148,b) | ~rewrite(X3148,sK2(c,X3143)) | ~rewrite(X3147,b) | ~rewrite(X3147,sK2(c,X3143)) | ~transitive_reflexive_rewrite(X3146,c) | ~transitive_reflexive_rewrite(X3146,X3143))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_87])])). 252.23/32.08 fof(f1960,plain,( 252.23/32.08 spl3_24 <=> ! [X452] : (~transitive_reflexive_rewrite(b,X452) | ~transitive_reflexive_rewrite(X452,b))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_24])])). 252.23/32.08 fof(f62,plain,( 252.23/32.08 spl3_4 <=> transitive_reflexive_rewrite(c,b)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_4])])). 252.23/32.08 fof(f10028,plain,( 252.23/32.08 ( ! [X3164,X3165,X3168,X3166,X3167] : (~transitive_reflexive_rewrite(b,X3165) | ~transitive_reflexive_rewrite(X3165,b) | ~rewrite(a,X3166) | ~transitive_reflexive_rewrite(X3166,X3164) | ~transitive_reflexive_rewrite(X3166,c) | ~rewrite(X3167,b) | ~rewrite(X3167,sK2(c,X3164)) | ~rewrite(X3168,b) | ~rewrite(X3168,sK2(c,X3164))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f650,f9415])). 252.23/32.08 fof(f9415,plain,( 252.23/32.08 ( ! [X3,X4] : (b = sK1(b,X3) | ~rewrite(X4,b) | ~rewrite(X4,X3)) ) | ~spl3_15), 252.23/32.08 inference(resolution,[],[f1686,f38])). 252.23/32.08 fof(f1686,plain,( 252.23/32.08 ( ! [X1] : (~transitive_reflexive_rewrite(b,X1) | b = X1) ) | ~spl3_15), 252.23/32.08 inference(avatar_component_clause,[],[f1685])). 252.23/32.08 fof(f650,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK1(X18,sK2(c,X19)),X17) | ~transitive_reflexive_rewrite(X17,b) | ~rewrite(a,X20) | ~transitive_reflexive_rewrite(X20,X19) | ~transitive_reflexive_rewrite(X20,c) | ~rewrite(X21,X18) | ~rewrite(X21,sK2(c,X19))) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f129,f39])). 252.23/32.08 fof(f129,plain,( 252.23/32.08 ( ! [X21,X24,X22,X23] : (~transitive_reflexive_rewrite(sK2(c,X22),X23) | ~transitive_reflexive_rewrite(X21,b) | ~transitive_reflexive_rewrite(X23,X21) | ~rewrite(a,X24) | ~transitive_reflexive_rewrite(X24,X22) | ~transitive_reflexive_rewrite(X24,c)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f73,f41])). 252.23/32.08 fof(f73,plain,( 252.23/32.08 ( ! [X2,X3,X1] : (~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(X1,X2)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f69,f42])). 252.23/32.08 fof(f69,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X1,X0) | ~transitive_reflexive_rewrite(X0,b)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f67,f42])). 252.23/32.08 fof(f67,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X0,b)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f64,f42])). 252.23/32.08 fof(f64,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(c,b) | spl3_4), 252.23/32.08 inference(avatar_component_clause,[],[f62])). 252.23/32.08 fof(f10506,plain,( 252.23/32.08 spl3_87 | spl3_80 | ~spl3_15 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f10026,f3518,f2299,f1685,f10442,f10502])). 252.23/32.08 fof(f10442,plain,( 252.23/32.08 spl3_80 <=> ! [X2395] : (~transitive_reflexive_rewrite(b,X2395) | ~transitive_reflexive_rewrite(X2395,a))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_80])])). 252.23/32.08 fof(f10026,plain,( 252.23/32.08 ( ! [X3155,X3159,X3156,X3158,X3157] : (~transitive_reflexive_rewrite(b,X3156) | ~transitive_reflexive_rewrite(X3156,a) | ~rewrite(a,X3157) | ~transitive_reflexive_rewrite(X3157,X3155) | ~transitive_reflexive_rewrite(X3157,c) | ~rewrite(X3158,b) | ~rewrite(X3158,sK2(c,X3155)) | ~rewrite(X3159,b) | ~rewrite(X3159,sK2(c,X3155))) ) | (~spl3_15 | spl3_29 | ~spl3_37)), 252.23/32.08 inference(superposition,[],[f3826,f9415])). 252.23/32.08 fof(f3826,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK1(X17,sK2(c,X18)),X19) | ~transitive_reflexive_rewrite(X19,a) | ~rewrite(a,X20) | ~transitive_reflexive_rewrite(X20,X18) | ~transitive_reflexive_rewrite(X20,c) | ~rewrite(X21,X17) | ~rewrite(X21,sK2(c,X18))) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3664,f39])). 252.23/32.08 fof(f3664,plain,( 252.23/32.08 ( ! [X21,X24,X22,X23] : (~transitive_reflexive_rewrite(sK2(c,X23),X21) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X22,a) | ~rewrite(a,X24) | ~transitive_reflexive_rewrite(X24,X23) | ~transitive_reflexive_rewrite(X24,c)) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3607,f41])). 252.23/32.08 fof(f3607,plain,( 252.23/32.08 ( ! [X101,X102,X100] : (~transitive_reflexive_rewrite(c,X100) | ~transitive_reflexive_rewrite(X101,X102) | ~transitive_reflexive_rewrite(X100,X101) | ~transitive_reflexive_rewrite(X102,a)) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3520,f2322])). 252.23/32.08 fof(f2322,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X7,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X6,X7)) ) | spl3_29), 252.23/32.08 inference(resolution,[],[f2313,f42])). 252.23/32.08 fof(f2313,plain,( 252.23/32.08 ( ! [X2,X3,X4] : (~transitive_reflexive_rewrite(X4,sK0(a,b)) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X3,X4)) ) | spl3_29), 252.23/32.08 inference(resolution,[],[f2309,f42])). 252.23/32.08 fof(f2309,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X0,X1)) ) | spl3_29), 252.23/32.08 inference(resolution,[],[f2306,f42])). 252.23/32.08 fof(f2306,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X0)) ) | spl3_29), 252.23/32.08 inference(resolution,[],[f2301,f42])). 252.23/32.08 fof(f10505,plain,( 252.23/32.08 spl3_87 | spl3_23 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f10025,f1685,f62,f1956,f10502])). 252.23/32.08 fof(f1956,plain,( 252.23/32.08 spl3_23 <=> ! [X448,X449] : (~transitive_reflexive_rewrite(b,X448) | ~transitive_reflexive_rewrite(X448,X449) | ~transitive_reflexive_rewrite(X449,b))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_23])])). 252.23/32.08 fof(f10025,plain,( 252.23/32.08 ( ! [X3152,X3153,X3150,X3151,X3154,X3149] : (~transitive_reflexive_rewrite(b,X3150) | ~transitive_reflexive_rewrite(X3150,X3151) | ~transitive_reflexive_rewrite(X3151,b) | ~rewrite(a,X3152) | ~transitive_reflexive_rewrite(X3152,X3149) | ~transitive_reflexive_rewrite(X3152,c) | ~rewrite(X3153,b) | ~rewrite(X3153,sK2(c,X3149)) | ~rewrite(X3154,b) | ~rewrite(X3154,sK2(c,X3149))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f1115,f9415])). 252.23/32.08 fof(f1115,plain,( 252.23/32.08 ( ! [X21,X26,X24,X22,X25,X23] : (~transitive_reflexive_rewrite(sK1(X23,sK2(c,X24)),X21) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X22,b) | ~rewrite(a,X25) | ~transitive_reflexive_rewrite(X25,X24) | ~transitive_reflexive_rewrite(X25,c) | ~rewrite(X26,X23) | ~rewrite(X26,sK2(c,X24))) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f227,f39])). 252.23/32.08 fof(f227,plain,( 252.23/32.08 ( ! [X31,X28,X29,X27,X30] : (~transitive_reflexive_rewrite(sK2(c,X30),X27) | ~transitive_reflexive_rewrite(X28,X29) | ~transitive_reflexive_rewrite(X27,X28) | ~transitive_reflexive_rewrite(X29,b) | ~rewrite(a,X31) | ~transitive_reflexive_rewrite(X31,X30) | ~transitive_reflexive_rewrite(X31,c)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f124,f41])). 252.23/32.08 fof(f124,plain,( 252.23/32.08 ( ! [X2,X3,X4,X5] : (~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X4,X2) | ~transitive_reflexive_rewrite(X5,X3) | ~transitive_reflexive_rewrite(X2,b)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f73,f42])). 252.23/32.08 fof(f10504,plain,( 252.23/32.08 spl3_87 | spl3_81 | ~spl3_15 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f10024,f3518,f2299,f1685,f10446,f10502])). 252.23/32.08 fof(f10446,plain,( 252.23/32.08 spl3_81 <=> ! [X2400,X2399] : (~transitive_reflexive_rewrite(b,X2399) | ~transitive_reflexive_rewrite(X2400,a) | ~transitive_reflexive_rewrite(X2399,X2400))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_81])])). 252.23/32.08 fof(f10024,plain,( 252.23/32.08 ( ! [X3147,X3144,X3146,X3145,X3143,X3148] : (~transitive_reflexive_rewrite(b,X3144) | ~transitive_reflexive_rewrite(X3144,X3145) | ~transitive_reflexive_rewrite(X3145,a) | ~rewrite(a,X3146) | ~transitive_reflexive_rewrite(X3146,X3143) | ~transitive_reflexive_rewrite(X3146,c) | ~rewrite(X3147,b) | ~rewrite(X3147,sK2(c,X3143)) | ~rewrite(X3148,b) | ~rewrite(X3148,sK2(c,X3143))) ) | (~spl3_15 | spl3_29 | ~spl3_37)), 252.23/32.08 inference(superposition,[],[f4090,f9415])). 252.23/32.08 fof(f4090,plain,( 252.23/32.08 ( ! [X21,X26,X24,X22,X25,X23] : (~transitive_reflexive_rewrite(sK1(X23,sK2(c,X24)),X21) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X22,a) | ~rewrite(a,X25) | ~transitive_reflexive_rewrite(X25,X24) | ~transitive_reflexive_rewrite(X25,c) | ~rewrite(X26,X23) | ~rewrite(X26,sK2(c,X24))) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3718,f39])). 252.23/32.08 fof(f3718,plain,( 252.23/32.08 ( ! [X31,X28,X29,X27,X30] : (~transitive_reflexive_rewrite(sK2(c,X27),X28) | ~transitive_reflexive_rewrite(X29,X30) | ~transitive_reflexive_rewrite(X28,X29) | ~transitive_reflexive_rewrite(X30,a) | ~rewrite(a,X31) | ~transitive_reflexive_rewrite(X31,X27) | ~transitive_reflexive_rewrite(X31,c)) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3608,f41])). 252.23/32.08 fof(f3608,plain,( 252.23/32.08 ( ! [X106,X104,X105,X103] : (~transitive_reflexive_rewrite(c,X105) | ~transitive_reflexive_rewrite(X105,X103) | ~transitive_reflexive_rewrite(X104,X106) | ~transitive_reflexive_rewrite(X103,X104) | ~transitive_reflexive_rewrite(X106,a)) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3520,f2329])). 252.23/32.08 fof(f2329,plain,( 252.23/32.08 ( ! [X10,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X10,sK0(a,b)) | ~transitive_reflexive_rewrite(X7,X8) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X8,X9) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(X9,X10)) ) | spl3_29), 252.23/32.08 inference(resolution,[],[f2322,f42])). 252.23/32.08 fof(f10497,plain,( 252.23/32.08 spl3_86 | spl3_24 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9998,f1685,f62,f1960,f10491])). 252.23/32.08 fof(f10491,plain,( 252.23/32.08 spl3_86 <=> ! [X2985,X2981,X2984,X2986] : (~rewrite(a,X2984) | ~rewrite(X2986,b) | ~rewrite(X2986,sK2(X2981,c)) | ~rewrite(X2985,b) | ~rewrite(X2985,sK2(X2981,c)) | ~transitive_reflexive_rewrite(X2984,X2981) | ~transitive_reflexive_rewrite(X2984,c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_86])])). 252.23/32.08 fof(f9998,plain,( 252.23/32.08 ( ! [X3005,X3004,X3002,X3006,X3003] : (~transitive_reflexive_rewrite(b,X3003) | ~transitive_reflexive_rewrite(X3003,b) | ~rewrite(a,X3004) | ~transitive_reflexive_rewrite(X3004,c) | ~transitive_reflexive_rewrite(X3004,X3002) | ~rewrite(X3005,b) | ~rewrite(X3005,sK2(X3002,c)) | ~rewrite(X3006,b) | ~rewrite(X3006,sK2(X3002,c))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f643,f9415])). 252.23/32.08 fof(f643,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK1(X18,sK2(X19,c)),X17) | ~transitive_reflexive_rewrite(X17,b) | ~rewrite(a,X20) | ~transitive_reflexive_rewrite(X20,c) | ~transitive_reflexive_rewrite(X20,X19) | ~rewrite(X21,X18) | ~rewrite(X21,sK2(X19,c))) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f128,f39])). 252.23/32.08 fof(f128,plain,( 252.23/32.08 ( ! [X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK2(X18,c),X19) | ~transitive_reflexive_rewrite(X17,b) | ~transitive_reflexive_rewrite(X19,X17) | ~rewrite(a,X20) | ~transitive_reflexive_rewrite(X20,c) | ~transitive_reflexive_rewrite(X20,X18)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f73,f40])). 252.23/32.08 fof(f10495,plain,( 252.23/32.08 spl3_86 | spl3_80 | ~spl3_15 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f9996,f3518,f2299,f1685,f10442,f10491])). 252.23/32.08 fof(f9996,plain,( 252.23/32.08 ( ! [X2996,X2994,X2995,X2993,X2997] : (~transitive_reflexive_rewrite(b,X2994) | ~transitive_reflexive_rewrite(X2994,a) | ~rewrite(a,X2995) | ~transitive_reflexive_rewrite(X2995,c) | ~transitive_reflexive_rewrite(X2995,X2993) | ~rewrite(X2996,b) | ~rewrite(X2996,sK2(X2993,c)) | ~rewrite(X2997,b) | ~rewrite(X2997,sK2(X2993,c))) ) | (~spl3_15 | spl3_29 | ~spl3_37)), 252.23/32.08 inference(superposition,[],[f3819,f9415])). 252.23/32.08 fof(f3819,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK1(X17,sK2(X18,c)),X19) | ~transitive_reflexive_rewrite(X19,a) | ~rewrite(a,X20) | ~transitive_reflexive_rewrite(X20,c) | ~transitive_reflexive_rewrite(X20,X18) | ~rewrite(X21,X17) | ~rewrite(X21,sK2(X18,c))) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3663,f39])). 252.23/32.08 fof(f3663,plain,( 252.23/32.08 ( ! [X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK2(X19,c),X17) | ~transitive_reflexive_rewrite(X17,X18) | ~transitive_reflexive_rewrite(X18,a) | ~rewrite(a,X20) | ~transitive_reflexive_rewrite(X20,c) | ~transitive_reflexive_rewrite(X20,X19)) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3607,f40])). 252.23/32.08 fof(f10494,plain,( 252.23/32.08 spl3_86 | spl3_23 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9995,f1685,f62,f1956,f10491])). 252.23/32.08 fof(f9995,plain,( 252.23/32.08 ( ! [X2991,X2992,X2988,X2990,X2987,X2989] : (~transitive_reflexive_rewrite(b,X2988) | ~transitive_reflexive_rewrite(X2988,X2989) | ~transitive_reflexive_rewrite(X2989,b) | ~rewrite(a,X2990) | ~transitive_reflexive_rewrite(X2990,c) | ~transitive_reflexive_rewrite(X2990,X2987) | ~rewrite(X2991,b) | ~rewrite(X2991,sK2(X2987,c)) | ~rewrite(X2992,b) | ~rewrite(X2992,sK2(X2987,c))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f1108,f9415])). 252.23/32.08 fof(f1108,plain,( 252.23/32.08 ( ! [X21,X26,X24,X22,X25,X23] : (~transitive_reflexive_rewrite(sK1(X23,sK2(X24,c)),X21) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X22,b) | ~rewrite(a,X25) | ~transitive_reflexive_rewrite(X25,c) | ~transitive_reflexive_rewrite(X25,X24) | ~rewrite(X26,X23) | ~rewrite(X26,sK2(X24,c))) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f226,f39])). 252.23/32.08 fof(f226,plain,( 252.23/32.08 ( ! [X26,X24,X22,X25,X23] : (~transitive_reflexive_rewrite(sK2(X25,c),X22) | ~transitive_reflexive_rewrite(X23,X24) | ~transitive_reflexive_rewrite(X22,X23) | ~transitive_reflexive_rewrite(X24,b) | ~rewrite(a,X26) | ~transitive_reflexive_rewrite(X26,c) | ~transitive_reflexive_rewrite(X26,X25)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f124,f40])). 252.23/32.08 fof(f10493,plain,( 252.23/32.08 spl3_86 | spl3_81 | ~spl3_15 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f9994,f3518,f2299,f1685,f10446,f10491])). 252.23/32.08 fof(f9994,plain,( 252.23/32.08 ( ! [X2985,X2986,X2981,X2983,X2982,X2984] : (~transitive_reflexive_rewrite(b,X2982) | ~transitive_reflexive_rewrite(X2982,X2983) | ~transitive_reflexive_rewrite(X2983,a) | ~rewrite(a,X2984) | ~transitive_reflexive_rewrite(X2984,c) | ~transitive_reflexive_rewrite(X2984,X2981) | ~rewrite(X2985,b) | ~rewrite(X2985,sK2(X2981,c)) | ~rewrite(X2986,b) | ~rewrite(X2986,sK2(X2981,c))) ) | (~spl3_15 | spl3_29 | ~spl3_37)), 252.23/32.08 inference(superposition,[],[f4083,f9415])). 252.23/32.08 fof(f4083,plain,( 252.23/32.08 ( ! [X21,X26,X24,X22,X25,X23] : (~transitive_reflexive_rewrite(sK1(X23,sK2(X24,c)),X21) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X22,a) | ~rewrite(a,X25) | ~transitive_reflexive_rewrite(X25,c) | ~transitive_reflexive_rewrite(X25,X24) | ~rewrite(X26,X23) | ~rewrite(X26,sK2(X24,c))) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3717,f39])). 252.23/32.08 fof(f3717,plain,( 252.23/32.08 ( ! [X26,X24,X22,X25,X23] : (~transitive_reflexive_rewrite(sK2(X22,c),X23) | ~transitive_reflexive_rewrite(X24,X25) | ~transitive_reflexive_rewrite(X23,X24) | ~transitive_reflexive_rewrite(X25,a) | ~rewrite(a,X26) | ~transitive_reflexive_rewrite(X26,c) | ~transitive_reflexive_rewrite(X26,X22)) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3608,f40])). 252.23/32.08 fof(f10489,plain,( 252.23/32.08 spl3_85 | spl3_85 | ~spl3_15 | spl3_36), 252.23/32.08 inference(avatar_split_clause,[],[f10488,f3502,f1685,f10483,f10483])). 252.23/32.08 fof(f10483,plain,( 252.23/32.08 spl3_85 <=> ! [X2942] : (~rewrite(X2942,b) | ~rewrite(X2942,sK1(sK0(a,b),c)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_85])])). 252.23/32.08 fof(f10488,plain,( 252.23/32.08 ( ! [X2950,X2951] : (~rewrite(X2950,b) | ~rewrite(X2950,sK1(sK0(a,b),c)) | ~rewrite(X2951,b) | ~rewrite(X2951,sK1(sK0(a,b),c))) ) | (~spl3_15 | spl3_36)), 252.23/32.08 inference(subsumption_resolution,[],[f9988,f43])). 252.23/32.08 fof(f9988,plain,( 252.23/32.08 ( ! [X2950,X2951] : (~transitive_reflexive_rewrite(b,b) | ~rewrite(X2950,b) | ~rewrite(X2950,sK1(sK0(a,b),c)) | ~rewrite(X2951,b) | ~rewrite(X2951,sK1(sK0(a,b),c))) ) | (~spl3_15 | spl3_36)), 252.23/32.08 inference(superposition,[],[f3645,f9415])). 252.23/32.08 fof(f3645,plain,( 252.23/32.08 ( ! [X6,X5] : (~transitive_reflexive_rewrite(sK1(X5,sK1(sK0(a,b),c)),b) | ~rewrite(X6,X5) | ~rewrite(X6,sK1(sK0(a,b),c))) ) | spl3_36), 252.23/32.08 inference(resolution,[],[f3624,f39])). 252.23/32.08 fof(f3624,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(sK1(sK0(a,b),c),X0) | ~transitive_reflexive_rewrite(X0,b)) ) | spl3_36), 252.23/32.08 inference(resolution,[],[f3504,f42])). 252.23/32.08 fof(f10487,plain,( 252.23/32.08 spl3_85 | spl3_85 | spl3_24 | ~spl3_15 | spl3_36), 252.23/32.08 inference(avatar_split_clause,[],[f9987,f3502,f1685,f1960,f10483,f10483])). 252.23/32.08 fof(f9987,plain,( 252.23/32.08 ( ! [X2948,X2947,X2949] : (~transitive_reflexive_rewrite(b,X2947) | ~transitive_reflexive_rewrite(X2947,b) | ~rewrite(X2948,b) | ~rewrite(X2948,sK1(sK0(a,b),c)) | ~rewrite(X2949,b) | ~rewrite(X2949,sK1(sK0(a,b),c))) ) | (~spl3_15 | spl3_36)), 252.23/32.08 inference(superposition,[],[f3674,f9415])). 252.23/32.08 fof(f3674,plain,( 252.23/32.08 ( ! [X10,X11,X9] : (~transitive_reflexive_rewrite(sK1(X9,sK1(sK0(a,b),c)),X10) | ~transitive_reflexive_rewrite(X10,b) | ~rewrite(X11,X9) | ~rewrite(X11,sK1(sK0(a,b),c))) ) | spl3_36), 252.23/32.08 inference(resolution,[],[f3642,f39])). 252.23/32.08 fof(f3642,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK1(sK0(a,b),c),X1) | ~transitive_reflexive_rewrite(X1,X0) | ~transitive_reflexive_rewrite(X0,b)) ) | spl3_36), 252.23/32.08 inference(resolution,[],[f3624,f42])). 252.23/32.08 fof(f10486,plain,( 252.23/32.08 spl3_85 | spl3_85 | spl3_23 | ~spl3_15 | spl3_36), 252.23/32.08 inference(avatar_split_clause,[],[f9986,f3502,f1685,f1956,f10483,f10483])). 252.23/32.08 fof(f9986,plain,( 252.23/32.08 ( ! [X2944,X2946,X2943,X2945] : (~transitive_reflexive_rewrite(b,X2943) | ~transitive_reflexive_rewrite(X2944,b) | ~transitive_reflexive_rewrite(X2943,X2944) | ~rewrite(X2945,b) | ~rewrite(X2945,sK1(sK0(a,b),c)) | ~rewrite(X2946,b) | ~rewrite(X2946,sK1(sK0(a,b),c))) ) | (~spl3_15 | spl3_36)), 252.23/32.08 inference(superposition,[],[f3723,f9415])). 252.23/32.08 fof(f3723,plain,( 252.23/32.08 ( ! [X16,X14,X15,X13] : (~transitive_reflexive_rewrite(sK1(X14,sK1(sK0(a,b),c)),X15) | ~transitive_reflexive_rewrite(X13,b) | ~transitive_reflexive_rewrite(X15,X13) | ~rewrite(X16,X14) | ~rewrite(X16,sK1(sK0(a,b),c))) ) | spl3_36), 252.23/32.08 inference(resolution,[],[f3671,f39])). 252.23/32.08 fof(f3671,plain,( 252.23/32.08 ( ! [X2,X3,X1] : (~transitive_reflexive_rewrite(sK1(sK0(a,b),c),X3) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(X1,X2)) ) | spl3_36), 252.23/32.08 inference(resolution,[],[f3642,f42])). 252.23/32.08 fof(f10485,plain,( 252.23/32.08 spl3_85 | spl3_85 | spl3_22 | ~spl3_15 | spl3_36), 252.23/32.08 inference(avatar_split_clause,[],[f9985,f3502,f1685,f1952,f10483,f10483])). 252.23/32.08 fof(f1952,plain,( 252.23/32.08 spl3_22 <=> ! [X443,X445,X444] : (~transitive_reflexive_rewrite(b,X443) | ~transitive_reflexive_rewrite(X445,b) | ~transitive_reflexive_rewrite(X443,X444) | ~transitive_reflexive_rewrite(X444,X445))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_22])])). 252.23/32.08 fof(f9985,plain,( 252.23/32.08 ( ! [X2942,X2939,X2941,X2940,X2938] : (~transitive_reflexive_rewrite(b,X2938) | ~transitive_reflexive_rewrite(X2939,X2940) | ~transitive_reflexive_rewrite(X2938,X2939) | ~transitive_reflexive_rewrite(X2940,b) | ~rewrite(X2941,b) | ~rewrite(X2941,sK1(sK0(a,b),c)) | ~rewrite(X2942,b) | ~rewrite(X2942,sK1(sK0(a,b),c))) ) | (~spl3_15 | spl3_36)), 252.23/32.08 inference(superposition,[],[f3796,f9415])). 252.23/32.08 fof(f3796,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK1(X20,sK1(sK0(a,b),c)),X17) | ~transitive_reflexive_rewrite(X18,X19) | ~transitive_reflexive_rewrite(X17,X18) | ~transitive_reflexive_rewrite(X19,b) | ~rewrite(X21,X20) | ~rewrite(X21,sK1(sK0(a,b),c))) ) | spl3_36), 252.23/32.08 inference(resolution,[],[f3720,f39])). 252.23/32.08 fof(f3720,plain,( 252.23/32.08 ( ! [X2,X3,X4,X5] : (~transitive_reflexive_rewrite(sK1(sK0(a,b),c),X5) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X4,X2) | ~transitive_reflexive_rewrite(X5,X3) | ~transitive_reflexive_rewrite(X2,b)) ) | spl3_36), 252.23/32.08 inference(resolution,[],[f3671,f42])). 252.23/32.08 fof(f10480,plain,( 252.23/32.08 spl3_84 | spl3_24 | ~spl3_10 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9983,f1685,f531,f1960,f10478])). 252.23/32.08 fof(f10478,plain,( 252.23/32.08 spl3_84 <=> ! [X2933,X2929,X2931,X2932] : (~rewrite(X2931,sK0(a,c)) | ~rewrite(X2933,b) | ~rewrite(X2933,sK1(sK0(a,c),X2929)) | ~rewrite(X2932,b) | ~rewrite(X2932,sK1(sK0(a,c),X2929)) | ~rewrite(X2931,X2929))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_84])])). 252.23/32.08 fof(f531,plain,( 252.23/32.08 spl3_10 <=> ! [X0] : (~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(sK0(a,c),X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_10])])). 252.23/32.08 fof(f9983,plain,( 252.23/32.08 ( ! [X2933,X2932,X2930,X2931,X2929] : (~transitive_reflexive_rewrite(b,X2930) | ~transitive_reflexive_rewrite(X2930,b) | ~rewrite(X2931,sK0(a,c)) | ~rewrite(X2931,X2929) | ~rewrite(X2932,b) | ~rewrite(X2932,sK1(sK0(a,c),X2929)) | ~rewrite(X2933,b) | ~rewrite(X2933,sK1(sK0(a,c),X2929))) ) | (~spl3_10 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f841,f9415])). 252.23/32.08 fof(f841,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK1(X18,sK1(sK0(a,c),X19)),X17) | ~transitive_reflexive_rewrite(X17,b) | ~rewrite(X20,sK0(a,c)) | ~rewrite(X20,X19) | ~rewrite(X21,X18) | ~rewrite(X21,sK1(sK0(a,c),X19))) ) | ~spl3_10), 252.23/32.08 inference(resolution,[],[f566,f39])). 252.23/32.08 fof(f566,plain,( 252.23/32.08 ( ! [X11,X14,X12,X13] : (~transitive_reflexive_rewrite(sK1(sK0(a,c),X12),X13) | ~transitive_reflexive_rewrite(X11,b) | ~transitive_reflexive_rewrite(X13,X11) | ~rewrite(X14,sK0(a,c)) | ~rewrite(X14,X12)) ) | ~spl3_10), 252.23/32.08 inference(resolution,[],[f556,f38])). 252.23/32.08 fof(f556,plain,( 252.23/32.08 ( ! [X2,X3,X4] : (~transitive_reflexive_rewrite(sK0(a,c),X4) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(X4,X2) | ~transitive_reflexive_rewrite(X2,X3)) ) | ~spl3_10), 252.23/32.08 inference(resolution,[],[f542,f42])). 252.23/32.08 fof(f542,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK0(a,c),X1) | ~transitive_reflexive_rewrite(X1,X0) | ~transitive_reflexive_rewrite(X0,b)) ) | ~spl3_10), 252.23/32.08 inference(resolution,[],[f532,f42])). 252.23/32.08 fof(f532,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(sK0(a,c),X0) | ~transitive_reflexive_rewrite(X0,b)) ) | ~spl3_10), 252.23/32.08 inference(avatar_component_clause,[],[f531])). 252.23/32.08 fof(f10475,plain,( 252.23/32.08 spl3_27 | spl3_82 | ~spl3_15 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f9959,f3518,f2299,f1685,f10450,f1977])). 252.23/32.08 fof(f1977,plain,( 252.23/32.08 spl3_27 <=> ! [X543,X544,X542,X540] : (~rewrite(X542,c) | ~rewrite(X544,b) | ~rewrite(X544,sK1(c,X540)) | ~rewrite(X543,b) | ~rewrite(X543,sK1(c,X540)) | ~rewrite(X542,X540))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_27])])). 252.23/32.08 fof(f10450,plain,( 252.23/32.08 spl3_82 <=> ! [X2406,X2405,X2404] : (~transitive_reflexive_rewrite(b,X2404) | ~transitive_reflexive_rewrite(X2406,a) | ~transitive_reflexive_rewrite(X2404,X2405) | ~transitive_reflexive_rewrite(X2405,X2406))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_82])])). 252.23/32.08 fof(f9959,plain,( 252.23/32.08 ( ! [X2797,X2799,X2796,X2794,X2793,X2798,X2795] : (~transitive_reflexive_rewrite(b,X2794) | ~transitive_reflexive_rewrite(X2795,X2796) | ~transitive_reflexive_rewrite(X2794,X2795) | ~transitive_reflexive_rewrite(X2796,a) | ~rewrite(X2797,c) | ~rewrite(X2797,X2793) | ~rewrite(X2798,b) | ~rewrite(X2798,sK1(c,X2793)) | ~rewrite(X2799,b) | ~rewrite(X2799,sK1(c,X2793))) ) | (~spl3_15 | spl3_29 | ~spl3_37)), 252.23/32.08 inference(superposition,[],[f4115,f9415])). 252.23/32.08 fof(f4115,plain,( 252.23/32.08 ( ! [X31,X28,X29,X26,X27,X25,X30] : (~transitive_reflexive_rewrite(sK1(X28,sK1(c,X29)),X25) | ~transitive_reflexive_rewrite(X26,X27) | ~transitive_reflexive_rewrite(X25,X26) | ~transitive_reflexive_rewrite(X27,a) | ~rewrite(X30,c) | ~rewrite(X30,X29) | ~rewrite(X31,X28) | ~rewrite(X31,sK1(c,X29))) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3781,f39])). 252.23/32.08 fof(f3781,plain,( 252.23/32.08 ( ! [X18,X19,X16,X17,X15,X20] : (~transitive_reflexive_rewrite(sK1(c,X17),X18) | ~transitive_reflexive_rewrite(X15,X16) | ~transitive_reflexive_rewrite(X16,X19) | ~transitive_reflexive_rewrite(X18,X15) | ~transitive_reflexive_rewrite(X19,a) | ~rewrite(X20,c) | ~rewrite(X20,X17)) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3609,f38])). 252.23/32.08 fof(f3609,plain,( 252.23/32.08 ( ! [X111,X108,X109,X107,X110] : (~transitive_reflexive_rewrite(c,X107) | ~transitive_reflexive_rewrite(X109,X110) | ~transitive_reflexive_rewrite(X107,X108) | ~transitive_reflexive_rewrite(X110,X111) | ~transitive_reflexive_rewrite(X108,X109) | ~transitive_reflexive_rewrite(X111,a)) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3520,f2346])). 252.23/32.08 fof(f2346,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9,X12,X13] : (~transitive_reflexive_rewrite(X13,sK0(a,b)) | ~transitive_reflexive_rewrite(X10,X8) | ~transitive_reflexive_rewrite(X9,X11) | ~transitive_reflexive_rewrite(c,X10) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(X8,X9) | ~transitive_reflexive_rewrite(X12,X13)) ) | spl3_29), 252.23/32.08 inference(resolution,[],[f2329,f42])). 252.23/32.08 fof(f10474,plain,( 252.23/32.08 spl3_27 | spl3_81 | ~spl3_15 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f9958,f3518,f2299,f1685,f10446,f1977])). 252.23/32.08 fof(f9958,plain,( 252.23/32.08 ( ! [X2787,X2790,X2789,X2792,X2791,X2788] : (~transitive_reflexive_rewrite(b,X2788) | ~transitive_reflexive_rewrite(X2788,X2789) | ~transitive_reflexive_rewrite(X2789,a) | ~rewrite(X2790,c) | ~rewrite(X2790,X2787) | ~rewrite(X2791,b) | ~rewrite(X2791,sK1(c,X2787)) | ~rewrite(X2792,b) | ~rewrite(X2792,sK1(c,X2787))) ) | (~spl3_15 | spl3_29 | ~spl3_37)), 252.23/32.08 inference(superposition,[],[f3847,f9415])). 252.23/32.08 fof(f3847,plain,( 252.23/32.08 ( ! [X21,X26,X24,X22,X25,X23] : (~transitive_reflexive_rewrite(sK1(X23,sK1(c,X24)),X21) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X22,a) | ~rewrite(X25,c) | ~rewrite(X25,X24) | ~rewrite(X26,X23) | ~rewrite(X26,sK1(c,X24))) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3715,f39])). 252.23/32.08 fof(f3715,plain,( 252.23/32.08 ( ! [X16,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(sK1(c,X12),X13) | ~transitive_reflexive_rewrite(X14,X15) | ~transitive_reflexive_rewrite(X13,X14) | ~transitive_reflexive_rewrite(X15,a) | ~rewrite(X16,c) | ~rewrite(X16,X12)) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3608,f38])). 252.23/32.08 fof(f10473,plain,( 252.23/32.08 spl3_27 | spl3_80 | ~spl3_15 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f9957,f3518,f2299,f1685,f10442,f1977])). 252.23/32.08 fof(f9957,plain,( 252.23/32.08 ( ! [X2786,X2782,X2785,X2784,X2783] : (~transitive_reflexive_rewrite(b,X2783) | ~transitive_reflexive_rewrite(X2783,a) | ~rewrite(X2784,c) | ~rewrite(X2784,X2782) | ~rewrite(X2785,b) | ~rewrite(X2785,sK1(c,X2782)) | ~rewrite(X2786,b) | ~rewrite(X2786,sK1(c,X2782))) ) | (~spl3_15 | spl3_29 | ~spl3_37)), 252.23/32.08 inference(superposition,[],[f3758,f9415])). 252.23/32.08 fof(f3758,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK1(X17,sK1(c,X18)),X19) | ~transitive_reflexive_rewrite(X19,a) | ~rewrite(X20,c) | ~rewrite(X20,X18) | ~rewrite(X21,X17) | ~rewrite(X21,sK1(c,X18))) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3661,f39])). 252.23/32.08 fof(f3661,plain,( 252.23/32.08 ( ! [X10,X11,X9,X12] : (~transitive_reflexive_rewrite(sK1(c,X11),X9) | ~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(X10,a) | ~rewrite(X12,c) | ~rewrite(X12,X11)) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3607,f38])). 252.23/32.08 fof(f10471,plain,( 252.23/32.08 spl3_27 | spl3_22 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9955,f1685,f62,f1952,f1977])). 252.23/32.08 fof(f9955,plain,( 252.23/32.08 ( ! [X2771,X2777,X2774,X2773,X2776,X2775,X2772] : (~transitive_reflexive_rewrite(b,X2772) | ~transitive_reflexive_rewrite(X2773,b) | ~transitive_reflexive_rewrite(X2774,X2773) | ~transitive_reflexive_rewrite(X2772,X2774) | ~rewrite(X2775,c) | ~rewrite(X2775,X2771) | ~rewrite(X2776,b) | ~rewrite(X2776,sK1(c,X2771)) | ~rewrite(X2777,b) | ~rewrite(X2777,sK1(c,X2771))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f1143,f9415])). 252.23/32.08 fof(f1143,plain,( 252.23/32.08 ( ! [X31,X28,X29,X26,X27,X25,X30] : (~transitive_reflexive_rewrite(sK1(X25,sK1(c,X26)),X27) | ~transitive_reflexive_rewrite(X28,b) | ~transitive_reflexive_rewrite(X29,X28) | ~transitive_reflexive_rewrite(X27,X29) | ~rewrite(X30,c) | ~rewrite(X30,X26) | ~rewrite(X31,X25) | ~rewrite(X31,sK1(c,X26))) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f495,f39])). 252.23/32.08 fof(f495,plain,( 252.23/32.08 ( ! [X18,X19,X16,X17,X15,X20] : (~transitive_reflexive_rewrite(sK1(c,X19),X17) | ~transitive_reflexive_rewrite(X17,X18) | ~transitive_reflexive_rewrite(X16,b) | ~transitive_reflexive_rewrite(X15,X16) | ~transitive_reflexive_rewrite(X18,X15) | ~rewrite(X20,c) | ~rewrite(X20,X19)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f222,f38])). 252.23/32.08 fof(f222,plain,( 252.23/32.08 ( ! [X3,X6,X7,X4,X5] : (~transitive_reflexive_rewrite(c,X7) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X6,X3) | ~transitive_reflexive_rewrite(X5,b) | ~transitive_reflexive_rewrite(X7,X6) | ~transitive_reflexive_rewrite(X3,X4)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f124,f42])). 252.23/32.08 fof(f10470,plain,( 252.23/32.08 spl3_27 | spl3_23 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9954,f1685,f62,f1956,f1977])). 252.23/32.08 fof(f9954,plain,( 252.23/32.08 ( ! [X2769,X2768,X2765,X2767,X2770,X2766] : (~transitive_reflexive_rewrite(b,X2766) | ~transitive_reflexive_rewrite(X2766,X2767) | ~transitive_reflexive_rewrite(X2767,b) | ~rewrite(X2768,c) | ~rewrite(X2768,X2765) | ~rewrite(X2769,b) | ~rewrite(X2769,sK1(c,X2765)) | ~rewrite(X2770,b) | ~rewrite(X2770,sK1(c,X2765))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f673,f9415])). 252.23/32.08 fof(f673,plain,( 252.23/32.08 ( ! [X21,X26,X24,X22,X25,X23] : (~transitive_reflexive_rewrite(sK1(X23,sK1(c,X24)),X21) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X22,b) | ~rewrite(X25,c) | ~rewrite(X25,X24) | ~rewrite(X26,X23) | ~rewrite(X26,sK1(c,X24))) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f224,f39])). 252.23/32.08 fof(f224,plain,( 252.23/32.08 ( ! [X16,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(sK1(c,X15),X12) | ~transitive_reflexive_rewrite(X13,X14) | ~transitive_reflexive_rewrite(X12,X13) | ~transitive_reflexive_rewrite(X14,b) | ~rewrite(X16,c) | ~rewrite(X16,X15)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f124,f38])). 252.23/32.08 fof(f10469,plain,( 252.23/32.08 spl3_27 | spl3_24 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9953,f1685,f62,f1960,f1977])). 252.23/32.08 fof(f9953,plain,( 252.23/32.08 ( ! [X2760,X2763,X2764,X2762,X2761] : (~transitive_reflexive_rewrite(b,X2761) | ~transitive_reflexive_rewrite(X2761,b) | ~rewrite(X2762,c) | ~rewrite(X2762,X2760) | ~rewrite(X2763,b) | ~rewrite(X2763,sK1(c,X2760)) | ~rewrite(X2764,b) | ~rewrite(X2764,sK1(c,X2760))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f410,f9415])). 252.23/32.08 fof(f410,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK1(X18,sK1(c,X19)),X17) | ~transitive_reflexive_rewrite(X17,b) | ~rewrite(X20,c) | ~rewrite(X20,X19) | ~rewrite(X21,X18) | ~rewrite(X21,sK1(c,X19))) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f126,f39])). 252.23/32.08 fof(f126,plain,( 252.23/32.08 ( ! [X10,X11,X9,X12] : (~transitive_reflexive_rewrite(sK1(c,X10),X11) | ~transitive_reflexive_rewrite(X9,b) | ~transitive_reflexive_rewrite(X11,X9) | ~rewrite(X12,c) | ~rewrite(X12,X10)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f73,f38])). 252.23/32.08 fof(f10466,plain,( 252.23/32.08 spl3_83 | spl3_24 | ~spl3_10 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9944,f1685,f531,f1960,f10464])). 252.23/32.08 fof(f10464,plain,( 252.23/32.08 spl3_83 <=> ! [X2716,X2715,X2713,X2717] : (~rewrite(X2715,X2713) | ~rewrite(X2717,b) | ~rewrite(X2717,sK1(X2713,sK0(a,c))) | ~rewrite(X2716,b) | ~rewrite(X2716,sK1(X2713,sK0(a,c))) | ~rewrite(X2715,sK0(a,c)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_83])])). 252.23/32.08 fof(f9944,plain,( 252.23/32.08 ( ! [X2717,X2716,X2714,X2713,X2715] : (~transitive_reflexive_rewrite(b,X2714) | ~transitive_reflexive_rewrite(X2714,b) | ~rewrite(X2715,X2713) | ~rewrite(X2715,sK0(a,c)) | ~rewrite(X2716,b) | ~rewrite(X2716,sK1(X2713,sK0(a,c))) | ~rewrite(X2717,b) | ~rewrite(X2717,sK1(X2713,sK0(a,c)))) ) | (~spl3_10 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f850,f9415])). 252.23/32.08 fof(f850,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK1(X18,sK1(X19,sK0(a,c))),X17) | ~transitive_reflexive_rewrite(X17,b) | ~rewrite(X20,X19) | ~rewrite(X20,sK0(a,c)) | ~rewrite(X21,X18) | ~rewrite(X21,sK1(X19,sK0(a,c)))) ) | ~spl3_10), 252.23/32.08 inference(resolution,[],[f567,f39])). 252.23/32.08 fof(f567,plain,( 252.23/32.08 ( ! [X18,X16,X17,X15] : (~transitive_reflexive_rewrite(sK1(X16,sK0(a,c)),X17) | ~transitive_reflexive_rewrite(X15,b) | ~transitive_reflexive_rewrite(X17,X15) | ~rewrite(X18,X16) | ~rewrite(X18,sK0(a,c))) ) | ~spl3_10), 252.23/32.08 inference(resolution,[],[f556,f39])). 252.23/32.08 fof(f10461,plain,( 252.23/32.08 spl3_26 | spl3_82 | ~spl3_15 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f9920,f3518,f2299,f1685,f10450,f1972])). 252.23/32.08 fof(f1972,plain,( 252.23/32.08 spl3_26 <=> ! [X535,X534,X533,X531] : (~rewrite(X533,X531) | ~rewrite(X535,b) | ~rewrite(X535,sK1(X531,c)) | ~rewrite(X534,b) | ~rewrite(X534,sK1(X531,c)) | ~rewrite(X533,c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_26])])). 252.23/32.08 fof(f9920,plain,( 252.23/32.08 ( ! [X2577,X2582,X2581,X2583,X2580,X2578,X2579] : (~transitive_reflexive_rewrite(b,X2578) | ~transitive_reflexive_rewrite(X2579,X2580) | ~transitive_reflexive_rewrite(X2578,X2579) | ~transitive_reflexive_rewrite(X2580,a) | ~rewrite(X2581,X2577) | ~rewrite(X2581,c) | ~rewrite(X2582,b) | ~rewrite(X2582,sK1(X2577,c)) | ~rewrite(X2583,b) | ~rewrite(X2583,sK1(X2577,c))) ) | (~spl3_15 | spl3_29 | ~spl3_37)), 252.23/32.08 inference(superposition,[],[f4122,f9415])). 252.23/32.08 fof(f4122,plain,( 252.23/32.08 ( ! [X31,X28,X29,X26,X27,X25,X30] : (~transitive_reflexive_rewrite(sK1(X28,sK1(X29,c)),X25) | ~transitive_reflexive_rewrite(X26,X27) | ~transitive_reflexive_rewrite(X25,X26) | ~transitive_reflexive_rewrite(X27,a) | ~rewrite(X30,X29) | ~rewrite(X30,c) | ~rewrite(X31,X28) | ~rewrite(X31,sK1(X29,c))) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3782,f39])). 252.23/32.08 fof(f3782,plain,( 252.23/32.08 ( ! [X21,X26,X24,X22,X25,X23] : (~transitive_reflexive_rewrite(sK1(X23,c),X24) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X22,X25) | ~transitive_reflexive_rewrite(X24,X21) | ~transitive_reflexive_rewrite(X25,a) | ~rewrite(X26,X23) | ~rewrite(X26,c)) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3609,f39])). 252.23/32.08 fof(f10460,plain,( 252.23/32.08 spl3_26 | spl3_81 | ~spl3_15 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f9919,f3518,f2299,f1685,f10446,f1972])). 252.23/32.08 fof(f9919,plain,( 252.23/32.08 ( ! [X2571,X2576,X2573,X2575,X2572,X2574] : (~transitive_reflexive_rewrite(b,X2572) | ~transitive_reflexive_rewrite(X2572,X2573) | ~transitive_reflexive_rewrite(X2573,a) | ~rewrite(X2574,X2571) | ~rewrite(X2574,c) | ~rewrite(X2575,b) | ~rewrite(X2575,sK1(X2571,c)) | ~rewrite(X2576,b) | ~rewrite(X2576,sK1(X2571,c))) ) | (~spl3_15 | spl3_29 | ~spl3_37)), 252.23/32.08 inference(superposition,[],[f3854,f9415])). 252.23/32.08 fof(f3854,plain,( 252.23/32.08 ( ! [X21,X26,X24,X22,X25,X23] : (~transitive_reflexive_rewrite(sK1(X23,sK1(X24,c)),X21) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X22,a) | ~rewrite(X25,X24) | ~rewrite(X25,c) | ~rewrite(X26,X23) | ~rewrite(X26,sK1(X24,c))) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3716,f39])). 252.23/32.08 fof(f3716,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK1(X17,c),X18) | ~transitive_reflexive_rewrite(X19,X20) | ~transitive_reflexive_rewrite(X18,X19) | ~transitive_reflexive_rewrite(X20,a) | ~rewrite(X21,X17) | ~rewrite(X21,c)) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3608,f39])). 252.23/32.08 fof(f10459,plain,( 252.23/32.08 spl3_26 | spl3_80 | ~spl3_15 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f9918,f3518,f2299,f1685,f10442,f1972])). 252.23/32.08 fof(f9918,plain,( 252.23/32.08 ( ! [X2567,X2570,X2569,X2568,X2566] : (~transitive_reflexive_rewrite(b,X2567) | ~transitive_reflexive_rewrite(X2567,a) | ~rewrite(X2568,X2566) | ~rewrite(X2568,c) | ~rewrite(X2569,b) | ~rewrite(X2569,sK1(X2566,c)) | ~rewrite(X2570,b) | ~rewrite(X2570,sK1(X2566,c))) ) | (~spl3_15 | spl3_29 | ~spl3_37)), 252.23/32.08 inference(superposition,[],[f3770,f9415])). 252.23/32.08 fof(f3770,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK1(X17,sK1(X18,c)),X19) | ~transitive_reflexive_rewrite(X19,a) | ~rewrite(X20,X18) | ~rewrite(X20,c) | ~rewrite(X21,X17) | ~rewrite(X21,sK1(X18,c))) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3662,f39])). 252.23/32.08 fof(f3662,plain,( 252.23/32.08 ( ! [X16,X14,X15,X13] : (~transitive_reflexive_rewrite(sK1(X15,c),X13) | ~transitive_reflexive_rewrite(X13,X14) | ~transitive_reflexive_rewrite(X14,a) | ~rewrite(X16,X15) | ~rewrite(X16,c)) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3607,f39])). 252.23/32.08 fof(f10457,plain,( 252.23/32.08 spl3_26 | spl3_22 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9916,f1685,f62,f1952,f1972])). 252.23/32.08 fof(f9916,plain,( 252.23/32.08 ( ! [X2557,X2556,X2560,X2555,X2558,X2559,X2561] : (~transitive_reflexive_rewrite(b,X2556) | ~transitive_reflexive_rewrite(X2557,b) | ~transitive_reflexive_rewrite(X2558,X2557) | ~transitive_reflexive_rewrite(X2556,X2558) | ~rewrite(X2559,X2555) | ~rewrite(X2559,c) | ~rewrite(X2560,b) | ~rewrite(X2560,sK1(X2555,c)) | ~rewrite(X2561,b) | ~rewrite(X2561,sK1(X2555,c))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f1157,f9415])). 252.23/32.08 fof(f1157,plain,( 252.23/32.08 ( ! [X31,X28,X29,X26,X27,X25,X30] : (~transitive_reflexive_rewrite(sK1(X25,sK1(X26,c)),X27) | ~transitive_reflexive_rewrite(X28,b) | ~transitive_reflexive_rewrite(X29,X28) | ~transitive_reflexive_rewrite(X27,X29) | ~rewrite(X30,X26) | ~rewrite(X30,c) | ~rewrite(X31,X25) | ~rewrite(X31,sK1(X26,c))) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f496,f39])). 252.23/32.08 fof(f496,plain,( 252.23/32.08 ( ! [X21,X26,X24,X22,X25,X23] : (~transitive_reflexive_rewrite(sK1(X25,c),X23) | ~transitive_reflexive_rewrite(X23,X24) | ~transitive_reflexive_rewrite(X22,b) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X24,X21) | ~rewrite(X26,X25) | ~rewrite(X26,c)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f222,f39])). 252.23/32.08 fof(f10456,plain,( 252.23/32.08 spl3_26 | spl3_23 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9915,f1685,f62,f1956,f1972])). 252.23/32.08 fof(f9915,plain,( 252.23/32.08 ( ! [X2553,X2551,X2552,X2554,X2549,X2550] : (~transitive_reflexive_rewrite(b,X2550) | ~transitive_reflexive_rewrite(X2550,X2551) | ~transitive_reflexive_rewrite(X2551,b) | ~rewrite(X2552,X2549) | ~rewrite(X2552,c) | ~rewrite(X2553,b) | ~rewrite(X2553,sK1(X2549,c)) | ~rewrite(X2554,b) | ~rewrite(X2554,sK1(X2549,c))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f680,f9415])). 252.23/32.08 fof(f680,plain,( 252.23/32.08 ( ! [X21,X26,X24,X22,X25,X23] : (~transitive_reflexive_rewrite(sK1(X23,sK1(X24,c)),X21) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X22,b) | ~rewrite(X25,X24) | ~rewrite(X25,c) | ~rewrite(X26,X23) | ~rewrite(X26,sK1(X24,c))) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f225,f39])). 252.23/32.08 fof(f225,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK1(X20,c),X17) | ~transitive_reflexive_rewrite(X18,X19) | ~transitive_reflexive_rewrite(X17,X18) | ~transitive_reflexive_rewrite(X19,b) | ~rewrite(X21,X20) | ~rewrite(X21,c)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f124,f39])). 252.23/32.08 fof(f10455,plain,( 252.23/32.08 spl3_26 | spl3_24 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9914,f1685,f62,f1960,f1972])). 252.23/32.08 fof(f9914,plain,( 252.23/32.08 ( ! [X2547,X2546,X2545,X2544,X2548] : (~transitive_reflexive_rewrite(b,X2545) | ~transitive_reflexive_rewrite(X2545,b) | ~rewrite(X2546,X2544) | ~rewrite(X2546,c) | ~rewrite(X2547,b) | ~rewrite(X2547,sK1(X2544,c)) | ~rewrite(X2548,b) | ~rewrite(X2548,sK1(X2544,c))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f424,f9415])). 252.23/32.08 fof(f424,plain,( 252.23/32.08 ( ! [X21,X18,X19,X17,X20] : (~transitive_reflexive_rewrite(sK1(X18,sK1(X19,c)),X17) | ~transitive_reflexive_rewrite(X17,b) | ~rewrite(X20,X19) | ~rewrite(X20,c) | ~rewrite(X21,X18) | ~rewrite(X21,sK1(X19,c))) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f127,f39])). 252.23/32.08 fof(f127,plain,( 252.23/32.08 ( ! [X16,X14,X15,X13] : (~transitive_reflexive_rewrite(sK1(X14,c),X15) | ~transitive_reflexive_rewrite(X13,b) | ~transitive_reflexive_rewrite(X15,X13) | ~rewrite(X16,X14) | ~rewrite(X16,c)) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f73,f39])). 252.23/32.08 fof(f10452,plain,( 252.23/32.08 spl3_25 | spl3_82 | ~spl3_15 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f9884,f3518,f2299,f1685,f10450,f1967])). 252.23/32.08 fof(f1967,plain,( 252.23/32.08 spl3_25 <=> ! [X480,X481,X478] : (~transitive_reflexive_rewrite(c,X478) | ~rewrite(X481,b) | ~rewrite(X481,sK0(c,X478)) | ~rewrite(X480,b) | ~rewrite(X480,sK0(c,X478)) | c = X478)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_25])])). 252.23/32.08 fof(f9884,plain,( 252.23/32.08 ( ! [X2404,X2406,X2403,X2407,X2408,X2405] : (~transitive_reflexive_rewrite(b,X2404) | ~transitive_reflexive_rewrite(X2405,X2406) | ~transitive_reflexive_rewrite(X2404,X2405) | ~transitive_reflexive_rewrite(X2406,a) | ~transitive_reflexive_rewrite(c,X2403) | c = X2403 | ~rewrite(X2407,b) | ~rewrite(X2407,sK0(c,X2403)) | ~rewrite(X2408,b) | ~rewrite(X2408,sK0(c,X2403))) ) | (~spl3_15 | spl3_29 | ~spl3_37)), 252.23/32.08 inference(superposition,[],[f4107,f9415])). 252.23/32.08 fof(f4107,plain,( 252.23/32.08 ( ! [X28,X29,X26,X27,X25,X30] : (~transitive_reflexive_rewrite(sK1(X28,sK0(c,X29)),X25) | ~transitive_reflexive_rewrite(X26,X27) | ~transitive_reflexive_rewrite(X25,X26) | ~transitive_reflexive_rewrite(X27,a) | ~transitive_reflexive_rewrite(c,X29) | c = X29 | ~rewrite(X30,X28) | ~rewrite(X30,sK0(c,X29))) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3780,f39])). 252.23/32.08 fof(f3780,plain,( 252.23/32.08 ( ! [X10,X11,X14,X12,X13] : (~transitive_reflexive_rewrite(sK0(c,X12),X13) | ~transitive_reflexive_rewrite(X10,X11) | ~transitive_reflexive_rewrite(X11,X14) | ~transitive_reflexive_rewrite(X13,X10) | ~transitive_reflexive_rewrite(X14,a) | ~transitive_reflexive_rewrite(c,X12) | c = X12) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3609,f74])). 252.23/32.08 fof(f10448,plain,( 252.23/32.08 spl3_25 | spl3_81 | ~spl3_15 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f9883,f3518,f2299,f1685,f10446,f1967])). 252.23/32.08 fof(f9883,plain,( 252.23/32.08 ( ! [X2402,X2398,X2401,X2399,X2400] : (~transitive_reflexive_rewrite(b,X2399) | ~transitive_reflexive_rewrite(X2399,X2400) | ~transitive_reflexive_rewrite(X2400,a) | ~transitive_reflexive_rewrite(c,X2398) | c = X2398 | ~rewrite(X2401,b) | ~rewrite(X2401,sK0(c,X2398)) | ~rewrite(X2402,b) | ~rewrite(X2402,sK0(c,X2398))) ) | (~spl3_15 | spl3_29 | ~spl3_37)), 252.23/32.08 inference(superposition,[],[f3839,f9415])). 252.23/32.08 fof(f3839,plain,( 252.23/32.08 ( ! [X21,X24,X22,X23,X20] : (~transitive_reflexive_rewrite(sK1(X22,sK0(c,X23)),X20) | ~transitive_reflexive_rewrite(X20,X21) | ~transitive_reflexive_rewrite(X21,a) | ~transitive_reflexive_rewrite(c,X23) | c = X23 | ~rewrite(X24,X22) | ~rewrite(X24,sK0(c,X23))) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3714,f39])). 252.23/32.08 fof(f3714,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9] : (~transitive_reflexive_rewrite(sK0(c,X8),X9) | ~transitive_reflexive_rewrite(X10,X11) | ~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(X11,a) | ~transitive_reflexive_rewrite(c,X8) | c = X8) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3608,f74])). 252.23/32.08 fof(f10444,plain,( 252.23/32.08 spl3_25 | spl3_80 | ~spl3_15 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f9882,f3518,f2299,f1685,f10442,f1967])). 252.23/32.08 fof(f9882,plain,( 252.23/32.08 ( ! [X2397,X2396,X2395,X2394] : (~transitive_reflexive_rewrite(b,X2395) | ~transitive_reflexive_rewrite(X2395,a) | ~transitive_reflexive_rewrite(c,X2394) | c = X2394 | ~rewrite(X2396,b) | ~rewrite(X2396,sK0(c,X2394)) | ~rewrite(X2397,b) | ~rewrite(X2397,sK0(c,X2394))) ) | (~spl3_15 | spl3_29 | ~spl3_37)), 252.23/32.08 inference(superposition,[],[f3750,f9415])). 252.23/32.08 fof(f3750,plain,( 252.23/32.08 ( ! [X18,X16,X17,X15] : (~transitive_reflexive_rewrite(sK1(X15,sK0(c,X16)),X17) | ~transitive_reflexive_rewrite(X17,a) | ~transitive_reflexive_rewrite(c,X16) | c = X16 | ~rewrite(X18,X15) | ~rewrite(X18,sK0(c,X16))) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3660,f39])). 252.23/32.08 fof(f3660,plain,( 252.23/32.08 ( ! [X8,X6,X7] : (~transitive_reflexive_rewrite(sK0(c,X8),X6) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X7,a) | ~transitive_reflexive_rewrite(c,X8) | c = X8) ) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3607,f74])). 252.23/32.08 fof(f10439,plain,( 252.23/32.08 spl3_25 | spl3_22 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9880,f1685,f62,f1952,f1967])). 252.23/32.08 fof(f9880,plain,( 252.23/32.08 ( ! [X2387,X2386,X2385,X2389,X2388,X2390] : (~transitive_reflexive_rewrite(b,X2386) | ~transitive_reflexive_rewrite(X2387,b) | ~transitive_reflexive_rewrite(X2388,X2387) | ~transitive_reflexive_rewrite(X2386,X2388) | ~transitive_reflexive_rewrite(c,X2385) | c = X2385 | ~rewrite(X2389,b) | ~rewrite(X2389,sK0(c,X2385)) | ~rewrite(X2390,b) | ~rewrite(X2390,sK0(c,X2385))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f1135,f9415])). 252.23/32.08 fof(f1135,plain,( 252.23/32.08 ( ! [X28,X29,X26,X27,X25,X30] : (~transitive_reflexive_rewrite(sK1(X25,sK0(c,X26)),X27) | ~transitive_reflexive_rewrite(X28,b) | ~transitive_reflexive_rewrite(X29,X28) | ~transitive_reflexive_rewrite(X27,X29) | ~transitive_reflexive_rewrite(c,X26) | c = X26 | ~rewrite(X30,X25) | ~rewrite(X30,sK0(c,X26))) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f494,f39])). 252.23/32.08 fof(f494,plain,( 252.23/32.08 ( ! [X10,X11,X14,X12,X13] : (~transitive_reflexive_rewrite(sK0(c,X14),X12) | ~transitive_reflexive_rewrite(X12,X13) | ~transitive_reflexive_rewrite(X11,b) | ~transitive_reflexive_rewrite(X10,X11) | ~transitive_reflexive_rewrite(X13,X10) | ~transitive_reflexive_rewrite(c,X14) | c = X14) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f222,f74])). 252.23/32.08 fof(f10438,plain,( 252.23/32.08 spl3_25 | spl3_23 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9879,f1685,f62,f1956,f1967])). 252.23/32.08 fof(f9879,plain,( 252.23/32.08 ( ! [X2382,X2383,X2384,X2381,X2380] : (~transitive_reflexive_rewrite(b,X2381) | ~transitive_reflexive_rewrite(X2381,X2382) | ~transitive_reflexive_rewrite(X2382,b) | ~transitive_reflexive_rewrite(c,X2380) | c = X2380 | ~rewrite(X2383,b) | ~rewrite(X2383,sK0(c,X2380)) | ~rewrite(X2384,b) | ~rewrite(X2384,sK0(c,X2380))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f664,f9415])). 252.23/32.08 fof(f664,plain,( 252.23/32.08 ( ! [X21,X24,X22,X23,X20] : (~transitive_reflexive_rewrite(sK1(X22,sK0(c,X23)),X20) | ~transitive_reflexive_rewrite(X20,X21) | ~transitive_reflexive_rewrite(X21,b) | ~transitive_reflexive_rewrite(c,X23) | c = X23 | ~rewrite(X24,X22) | ~rewrite(X24,sK0(c,X23))) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f223,f39])). 252.23/32.08 fof(f223,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9] : (~transitive_reflexive_rewrite(sK0(c,X11),X8) | ~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(X8,X9) | ~transitive_reflexive_rewrite(X10,b) | ~transitive_reflexive_rewrite(c,X11) | c = X11) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f124,f74])). 252.23/32.08 fof(f10437,plain,( 252.23/32.08 spl3_25 | spl3_24 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9878,f1685,f62,f1960,f1967])). 252.23/32.08 fof(f9878,plain,( 252.23/32.08 ( ! [X2377,X2376,X2378,X2379] : (~transitive_reflexive_rewrite(b,X2377) | ~transitive_reflexive_rewrite(X2377,b) | ~transitive_reflexive_rewrite(c,X2376) | c = X2376 | ~rewrite(X2378,b) | ~rewrite(X2378,sK0(c,X2376)) | ~rewrite(X2379,b) | ~rewrite(X2379,sK0(c,X2376))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f402,f9415])). 252.23/32.08 fof(f402,plain,( 252.23/32.08 ( ! [X18,X16,X17,X15] : (~transitive_reflexive_rewrite(sK1(X16,sK0(c,X17)),X15) | ~transitive_reflexive_rewrite(X15,b) | ~transitive_reflexive_rewrite(c,X17) | c = X17 | ~rewrite(X18,X16) | ~rewrite(X18,sK0(c,X17))) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f125,f39])). 252.23/32.08 fof(f125,plain,( 252.23/32.08 ( ! [X8,X6,X7] : (~transitive_reflexive_rewrite(sK0(c,X7),X8) | ~transitive_reflexive_rewrite(X6,b) | ~transitive_reflexive_rewrite(X8,X6) | ~transitive_reflexive_rewrite(c,X7) | c = X7) ) | spl3_4), 252.23/32.08 inference(resolution,[],[f73,f74])). 252.23/32.08 fof(f10434,plain,( 252.23/32.08 spl3_79 | spl3_24 | ~spl3_6 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9828,f1685,f119,f1960,f10432])). 252.23/32.08 fof(f10432,plain,( 252.23/32.08 spl3_79 <=> ! [X2174,X2173,X2170,X2172] : (a = X2170 | ~rewrite(X2174,b) | ~rewrite(X2174,sK0(a,X2170)) | ~rewrite(X2173,b) | ~rewrite(X2173,sK0(a,X2170)) | ~transitive_reflexive_rewrite(X2172,c) | ~transitive_reflexive_rewrite(a,X2170) | ~transitive_reflexive_rewrite(X2170,X2172))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_79])])). 252.23/32.08 fof(f9828,plain,( 252.23/32.08 ( ! [X2172,X2173,X2170,X2171,X2174] : (~transitive_reflexive_rewrite(b,X2171) | a = X2170 | ~transitive_reflexive_rewrite(X2170,X2172) | ~transitive_reflexive_rewrite(a,X2170) | ~transitive_reflexive_rewrite(X2172,c) | ~transitive_reflexive_rewrite(X2171,b) | ~rewrite(X2173,b) | ~rewrite(X2173,sK0(a,X2170)) | ~rewrite(X2174,b) | ~rewrite(X2174,sK0(a,X2170))) ) | (~spl3_6 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f2051,f9415])). 252.23/32.08 fof(f2051,plain,( 252.23/32.08 ( ! [X21,X24,X22,X23,X20] : (~transitive_reflexive_rewrite(sK1(X22,sK0(a,X21)),X23) | a = X21 | ~transitive_reflexive_rewrite(X21,X20) | ~transitive_reflexive_rewrite(a,X21) | ~transitive_reflexive_rewrite(X20,c) | ~transitive_reflexive_rewrite(X23,b) | ~rewrite(X24,X22) | ~rewrite(X24,sK0(a,X21))) ) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f2002,f39])). 252.23/32.08 fof(f2002,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,X6),X7) | ~transitive_reflexive_rewrite(X5,c) | a = X6 | ~transitive_reflexive_rewrite(X6,X5) | ~transitive_reflexive_rewrite(a,X6) | ~transitive_reflexive_rewrite(X7,X4) | ~transitive_reflexive_rewrite(X4,b)) ) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f1999,f42])). 252.23/32.08 fof(f1999,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X1),X0) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X2,c) | a = X1 | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(a,X1)) ) | ~spl3_6), 252.23/32.08 inference(duplicate_literal_removal,[],[f1991])). 252.23/32.08 fof(f1991,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(sK0(a,X1),X0) | ~transitive_reflexive_rewrite(X2,c) | a = X1 | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(a,X1) | a = X1 | ~transitive_reflexive_rewrite(a,X1)) ) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f884,f37])). 252.23/32.08 fof(f884,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,X4),X7) | ~transitive_reflexive_rewrite(X5,b) | ~transitive_reflexive_rewrite(sK0(a,X4),X5) | ~transitive_reflexive_rewrite(X6,c) | a = X4 | ~transitive_reflexive_rewrite(X7,X6) | ~transitive_reflexive_rewrite(a,X4)) ) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f527,f42])). 252.23/32.08 fof(f527,plain,( 252.23/32.08 ( ! [X2,X3,X1] : (~transitive_reflexive_rewrite(sK0(a,X1),X3) | ~transitive_reflexive_rewrite(a,X1) | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(sK0(a,X1),X2) | ~transitive_reflexive_rewrite(X3,c) | a = X1) ) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f234,f42])). 252.23/32.08 fof(f234,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X0),c) | a = X0 | ~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,b) | ~transitive_reflexive_rewrite(sK0(a,X0),X1)) ) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f122,f42])). 252.23/32.08 fof(f122,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(sK0(a,X0),b) | ~transitive_reflexive_rewrite(sK0(a,X0),c) | a = X0 | ~transitive_reflexive_rewrite(a,X0)) ) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f120,f36])). 252.23/32.08 fof(f120,plain,( 252.23/32.08 ( ! [X1] : (~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,c) | ~transitive_reflexive_rewrite(X1,b)) ) | ~spl3_6), 252.23/32.08 inference(avatar_component_clause,[],[f119])). 252.23/32.08 fof(f10429,plain,( 252.23/32.08 spl3_78 | spl3_23 | ~spl3_6 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9825,f1685,f119,f1956,f10426])). 252.23/32.08 fof(f10426,plain,( 252.23/32.08 spl3_78 <=> ! [X2156,X2153,X2155] : (~transitive_reflexive_rewrite(X2153,c) | ~rewrite(X2156,b) | ~rewrite(X2156,sK0(a,X2153)) | ~rewrite(X2155,b) | ~rewrite(X2155,sK0(a,X2153)) | ~transitive_reflexive_rewrite(a,X2153) | a = X2153)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_78])])). 252.23/32.08 fof(f9825,plain,( 252.23/32.08 ( ! [X2158,X2160,X2161,X2159,X2157] : (~transitive_reflexive_rewrite(b,X2158) | a = X2157 | ~transitive_reflexive_rewrite(X2158,X2159) | ~transitive_reflexive_rewrite(X2159,b) | ~transitive_reflexive_rewrite(X2157,c) | ~transitive_reflexive_rewrite(a,X2157) | ~rewrite(X2160,b) | ~rewrite(X2160,sK0(a,X2157)) | ~rewrite(X2161,b) | ~rewrite(X2161,sK0(a,X2157))) ) | (~spl3_6 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f1191,f9415])). 252.23/32.08 fof(f1191,plain,( 252.23/32.08 ( ! [X21,X24,X22,X23,X20] : (~transitive_reflexive_rewrite(sK1(X23,sK0(a,X20)),X21) | a = X20 | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X22,b) | ~transitive_reflexive_rewrite(X20,c) | ~transitive_reflexive_rewrite(a,X20) | ~rewrite(X24,X23) | ~rewrite(X24,sK0(a,X20))) ) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f935,f39])). 252.23/32.08 fof(f935,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,X4),X7) | ~transitive_reflexive_rewrite(X4,c) | a = X4 | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(X6,b) | ~transitive_reflexive_rewrite(X7,X5) | ~transitive_reflexive_rewrite(a,X4)) ) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f893,f42])). 252.23/32.08 fof(f893,plain,( 252.23/32.08 ( ! [X2,X3,X4] : (~transitive_reflexive_rewrite(sK0(a,X3),X4) | ~transitive_reflexive_rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,c) | a = X3 | ~transitive_reflexive_rewrite(X4,X2) | ~transitive_reflexive_rewrite(X2,b)) ) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f890,f42])). 252.23/32.08 fof(f890,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X0),X1) | ~transitive_reflexive_rewrite(X1,b) | ~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,c) | a = X0) ) | ~spl3_6), 252.23/32.08 inference(duplicate_literal_removal,[],[f882])). 252.23/32.08 fof(f882,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,b) | ~transitive_reflexive_rewrite(sK0(a,X0),X1) | ~transitive_reflexive_rewrite(X0,c) | a = X0 | a = X0 | ~transitive_reflexive_rewrite(a,X0)) ) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f527,f37])). 252.23/32.08 fof(f10428,plain,( 252.23/32.08 spl3_78 | spl3_24 | ~spl3_6 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9824,f1685,f119,f1960,f10426])). 252.23/32.08 fof(f9824,plain,( 252.23/32.08 ( ! [X2154,X2153,X2155,X2156] : (~transitive_reflexive_rewrite(b,X2154) | ~transitive_reflexive_rewrite(X2153,c) | a = X2153 | ~transitive_reflexive_rewrite(a,X2153) | ~transitive_reflexive_rewrite(X2154,b) | ~rewrite(X2155,b) | ~rewrite(X2155,sK0(a,X2153)) | ~rewrite(X2156,b) | ~rewrite(X2156,sK0(a,X2153))) ) | (~spl3_6 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f938,f9415])). 252.23/32.08 fof(f938,plain,( 252.23/32.08 ( ! [X18,X16,X17,X15] : (~transitive_reflexive_rewrite(sK1(X16,sK0(a,X15)),X17) | ~transitive_reflexive_rewrite(X15,c) | a = X15 | ~transitive_reflexive_rewrite(a,X15) | ~transitive_reflexive_rewrite(X17,b) | ~rewrite(X18,X16) | ~rewrite(X18,sK0(a,X15))) ) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f893,f39])). 252.23/32.08 fof(f10423,plain,( 252.23/32.08 spl3_20 | spl3_68 | ~spl3_15 | ~spl3_70), 252.23/32.08 inference(avatar_split_clause,[],[f10057,f9360,f1685,f9331,f1944])). 252.23/32.08 fof(f1944,plain,( 252.23/32.08 spl3_20 <=> ! [X306] : ~rewrite(X306,b)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_20])])). 252.23/32.08 fof(f9331,plain,( 252.23/32.08 spl3_68 <=> ! [X2,X4] : (~rewrite(a,X2) | ~transitive_reflexive_rewrite(X4,b) | ~transitive_reflexive_rewrite(X2,X4) | ~transitive_reflexive_rewrite(X2,c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_68])])). 252.23/32.08 fof(f9360,plain,( 252.23/32.08 spl3_70 <=> ! [X9,X11,X6,X7] : (~transitive_reflexive_rewrite(X6,sK1(X7,b)) | ~rewrite(X11,b) | ~rewrite(X11,X7) | ~rewrite(a,X6) | ~rewrite(X9,b) | ~rewrite(X9,X7) | ~transitive_reflexive_rewrite(X6,c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_70])])). 252.23/32.08 fof(f10057,plain,( 252.23/32.08 ( ! [X2145,X2143,X2141] : (~transitive_reflexive_rewrite(X2141,b) | ~rewrite(a,X2143) | ~transitive_reflexive_rewrite(X2143,c) | ~transitive_reflexive_rewrite(X2143,X2141) | ~rewrite(X2145,b)) ) | (~spl3_15 | ~spl3_70)), 252.23/32.08 inference(condensation,[],[f10056])). 252.23/32.08 fof(f10056,plain,( 252.23/32.08 ( ! [X2144,X2145,X2143,X2141] : (~transitive_reflexive_rewrite(X2141,b) | ~rewrite(a,X2143) | ~rewrite(X2144,b) | ~transitive_reflexive_rewrite(X2143,c) | ~transitive_reflexive_rewrite(X2143,X2141) | ~rewrite(X2145,b)) ) | (~spl3_15 | ~spl3_70)), 252.23/32.08 inference(condensation,[],[f10055])). 252.23/32.08 fof(f10055,plain,( 252.23/32.08 ( ! [X2144,X2145,X2143,X2141,X2142] : (~transitive_reflexive_rewrite(X2141,b) | ~rewrite(X2142,b) | ~rewrite(a,X2143) | ~rewrite(X2144,b) | ~transitive_reflexive_rewrite(X2143,c) | ~transitive_reflexive_rewrite(X2143,X2141) | ~rewrite(X2145,b)) ) | (~spl3_15 | ~spl3_70)), 252.23/32.08 inference(duplicate_literal_removal,[],[f9821])). 252.23/32.08 fof(f9821,plain,( 252.23/32.08 ( ! [X2144,X2145,X2143,X2141,X2142] : (~transitive_reflexive_rewrite(X2141,b) | ~rewrite(X2142,b) | ~rewrite(a,X2143) | ~rewrite(X2144,b) | ~rewrite(X2144,b) | ~transitive_reflexive_rewrite(X2143,c) | ~rewrite(X2142,b) | ~transitive_reflexive_rewrite(X2143,X2141) | ~rewrite(X2145,b) | ~rewrite(X2145,b)) ) | (~spl3_15 | ~spl3_70)), 252.23/32.08 inference(superposition,[],[f9366,f9415])). 252.23/32.08 fof(f9366,plain,( 252.23/32.08 ( ! [X11,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(X15,sK1(X12,b)) | ~rewrite(X11,X12) | ~rewrite(a,X13) | ~rewrite(X14,b) | ~rewrite(X14,X12) | ~transitive_reflexive_rewrite(X13,c) | ~rewrite(X11,b) | ~transitive_reflexive_rewrite(X13,X15)) ) | ~spl3_70), 252.23/32.08 inference(resolution,[],[f9361,f42])). 252.23/32.08 fof(f9361,plain,( 252.23/32.08 ( ! [X11,X6,X9,X7] : (~transitive_reflexive_rewrite(X6,sK1(X7,b)) | ~rewrite(X11,b) | ~rewrite(X11,X7) | ~rewrite(a,X6) | ~rewrite(X9,b) | ~rewrite(X9,X7) | ~transitive_reflexive_rewrite(X6,c)) ) | ~spl3_70), 252.23/32.08 inference(avatar_component_clause,[],[f9360])). 252.23/32.08 fof(f10422,plain,( 252.23/32.08 spl3_20 | spl3_76 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f10115,f1685,f10410,f1944])). 252.23/32.08 fof(f10115,plain,( 252.23/32.08 ( ! [X1988,X1987,X1991,X1990,X1986] : (~transitive_reflexive_rewrite(X1986,b) | ~transitive_reflexive_rewrite(X1987,b) | ~transitive_reflexive_rewrite(X1987,X1988) | ~transitive_reflexive_rewrite(c,X1988) | ~rewrite(a,X1990) | ~transitive_reflexive_rewrite(X1990,X1988) | ~rewrite(a,X1987) | ~transitive_reflexive_rewrite(X1990,X1986) | ~rewrite(X1991,b)) ) | ~spl3_15), 252.23/32.08 inference(condensation,[],[f10114])). 252.23/32.08 fof(f10114,plain,( 252.23/32.08 ( ! [X1988,X1987,X1991,X1990,X1989,X1986] : (~transitive_reflexive_rewrite(X1986,b) | ~transitive_reflexive_rewrite(X1987,b) | ~transitive_reflexive_rewrite(X1987,X1988) | ~rewrite(X1989,b) | ~transitive_reflexive_rewrite(c,X1988) | ~rewrite(a,X1990) | ~transitive_reflexive_rewrite(X1990,X1988) | ~rewrite(a,X1987) | ~transitive_reflexive_rewrite(X1990,X1986) | ~rewrite(X1991,b)) ) | ~spl3_15), 252.23/32.08 inference(duplicate_literal_removal,[],[f9796])). 252.23/32.08 fof(f9796,plain,( 252.23/32.08 ( ! [X1988,X1987,X1991,X1990,X1989,X1986] : (~transitive_reflexive_rewrite(X1986,b) | ~transitive_reflexive_rewrite(X1987,b) | ~transitive_reflexive_rewrite(X1987,X1988) | ~rewrite(X1989,b) | ~transitive_reflexive_rewrite(c,X1988) | ~rewrite(a,X1990) | ~rewrite(X1989,b) | ~transitive_reflexive_rewrite(X1990,X1988) | ~rewrite(a,X1987) | ~transitive_reflexive_rewrite(X1990,X1986) | ~rewrite(X1991,b) | ~rewrite(X1991,b)) ) | ~spl3_15), 252.23/32.08 inference(superposition,[],[f3884,f9415])). 252.23/32.08 fof(f3884,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X19,sK1(X15,b)) | ~transitive_reflexive_rewrite(X14,sK1(X15,b)) | ~transitive_reflexive_rewrite(X14,X16) | ~rewrite(X17,X15) | ~transitive_reflexive_rewrite(c,X16) | ~rewrite(a,X18) | ~rewrite(X17,b) | ~transitive_reflexive_rewrite(X18,X16) | ~rewrite(a,X14) | ~transitive_reflexive_rewrite(X18,X19)) )), 252.23/32.08 inference(resolution,[],[f2121,f42])). 252.23/32.08 fof(f2121,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~transitive_reflexive_rewrite(X9,sK1(X7,b)) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X6,sK1(X7,b)) | ~transitive_reflexive_rewrite(X6,X8) | ~rewrite(X5,X7) | ~transitive_reflexive_rewrite(c,X8) | ~rewrite(a,X9) | ~rewrite(X5,b) | ~transitive_reflexive_rewrite(X9,X8)) )), 252.23/32.08 inference(resolution,[],[f769,f41])). 252.23/32.08 fof(f769,plain,( 252.23/32.08 ( ! [X8,X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X8,sK2(X7,sK1(X5,b))) | ~rewrite(X4,b) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X6,sK1(X5,b)) | ~transitive_reflexive_rewrite(X6,X7) | ~rewrite(X4,X5) | ~transitive_reflexive_rewrite(c,X8)) )), 252.23/32.08 inference(resolution,[],[f144,f42])). 252.23/32.08 fof(f144,plain,( 252.23/32.08 ( ! [X18,X19,X17,X20] : (~transitive_reflexive_rewrite(c,sK2(X19,sK1(X18,b))) | ~rewrite(X17,X18) | ~rewrite(X17,b) | ~rewrite(a,X20) | ~transitive_reflexive_rewrite(X20,sK1(X18,b)) | ~transitive_reflexive_rewrite(X20,X19)) )), 252.23/32.08 inference(resolution,[],[f79,f40])). 252.23/32.08 fof(f79,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(sK1(X1,b),X2) | ~rewrite(X0,b) | ~rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2)) )), 252.23/32.08 inference(resolution,[],[f39,f66])). 252.23/32.08 fof(f10421,plain,( 252.23/32.08 spl3_20 | spl3_75 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f10188,f1685,f10406,f1944])). 252.23/32.08 fof(f10406,plain,( 252.23/32.08 spl3_75 <=> ! [X525,X526] : (~transitive_reflexive_rewrite(c,sK0(X525,sK0(X526,b))) | ~transitive_reflexive_rewrite(X525,sK0(X526,b)) | sK0(X526,b) = X525 | ~transitive_reflexive_rewrite(X526,b) | b = X526)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_75])])). 252.23/32.08 fof(f10188,plain,( 252.23/32.08 ( ! [X1804,X1803,X1806] : (~transitive_reflexive_rewrite(c,sK0(X1803,sK0(X1804,b))) | b = X1804 | ~transitive_reflexive_rewrite(X1804,b) | sK0(X1804,b) = X1803 | ~transitive_reflexive_rewrite(X1803,sK0(X1804,b)) | ~rewrite(X1806,b)) ) | ~spl3_15), 252.23/32.08 inference(condensation,[],[f10187])). 252.23/32.08 fof(f10187,plain,( 252.23/32.08 ( ! [X1804,X1803,X1806,X1805] : (~transitive_reflexive_rewrite(c,sK0(X1803,sK0(X1804,b))) | ~rewrite(X1805,b) | b = X1804 | ~transitive_reflexive_rewrite(X1804,b) | sK0(X1804,b) = X1803 | ~transitive_reflexive_rewrite(X1803,sK0(X1804,b)) | ~rewrite(X1806,b)) ) | ~spl3_15), 252.23/32.08 inference(duplicate_literal_removal,[],[f9764])). 252.23/32.08 fof(f9764,plain,( 252.23/32.08 ( ! [X1804,X1803,X1806,X1805] : (~transitive_reflexive_rewrite(c,sK0(X1803,sK0(X1804,b))) | ~rewrite(X1805,b) | ~rewrite(X1805,b) | b = X1804 | ~transitive_reflexive_rewrite(X1804,b) | sK0(X1804,b) = X1803 | ~transitive_reflexive_rewrite(X1803,sK0(X1804,b)) | ~rewrite(X1806,b) | ~rewrite(X1806,b)) ) | ~spl3_15), 252.23/32.08 inference(superposition,[],[f1496,f9415])). 252.23/32.08 fof(f1496,plain,( 252.23/32.08 ( ! [X11,X14,X12,X13] : (~transitive_reflexive_rewrite(c,sK0(X11,sK0(X12,sK1(X13,b)))) | ~rewrite(X14,X13) | ~rewrite(X14,b) | sK1(X13,b) = X12 | ~transitive_reflexive_rewrite(X12,sK1(X13,b)) | sK0(X12,sK1(X13,b)) = X11 | ~transitive_reflexive_rewrite(X11,sK0(X12,sK1(X13,b)))) )), 252.23/32.08 inference(resolution,[],[f370,f37])). 252.23/32.08 fof(f370,plain,( 252.23/32.08 ( ! [X18,X19,X16,X17] : (~transitive_reflexive_rewrite(X17,sK0(X19,sK1(X18,b))) | ~transitive_reflexive_rewrite(c,X17) | ~rewrite(X16,X18) | ~rewrite(X16,b) | sK1(X18,b) = X19 | ~transitive_reflexive_rewrite(X19,sK1(X18,b))) )), 252.23/32.08 inference(resolution,[],[f163,f37])). 252.23/32.08 fof(f163,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9] : (~transitive_reflexive_rewrite(X11,sK1(X9,b)) | ~rewrite(X8,b) | ~transitive_reflexive_rewrite(c,X10) | ~rewrite(X8,X9) | ~transitive_reflexive_rewrite(X10,X11)) )), 252.23/32.08 inference(resolution,[],[f98,f42])). 252.23/32.08 fof(f98,plain,( 252.23/32.08 ( ! [X2,X3,X4] : (~transitive_reflexive_rewrite(X4,sK1(X3,b)) | ~rewrite(X2,X3) | ~rewrite(X2,b) | ~transitive_reflexive_rewrite(c,X4)) )), 252.23/32.08 inference(resolution,[],[f80,f42])). 252.23/32.08 fof(f80,plain,( 252.23/32.08 ( ! [X3,X4] : (~transitive_reflexive_rewrite(c,sK1(X4,b)) | ~rewrite(X3,b) | ~rewrite(X3,X4)) )), 252.23/32.08 inference(resolution,[],[f39,f59])). 252.23/32.08 fof(f10420,plain,( 252.23/32.08 spl3_20 | spl3_74 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f10253,f1685,f10402,f1944])). 252.23/32.08 fof(f10402,plain,( 252.23/32.08 spl3_74 <=> ! [X366,X367,X365,X364] : (~transitive_reflexive_rewrite(X364,sK0(X365,b)) | ~transitive_reflexive_rewrite(X365,b) | b = X365 | ~transitive_reflexive_rewrite(c,X366) | ~transitive_reflexive_rewrite(X366,X367) | ~transitive_reflexive_rewrite(X367,X364))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_74])])). 252.23/32.08 fof(f10253,plain,( 252.23/32.08 ( ! [X1667,X1671,X1666,X1669,X1668] : (~transitive_reflexive_rewrite(X1666,sK0(X1667,b)) | ~transitive_reflexive_rewrite(X1668,X1669) | ~transitive_reflexive_rewrite(X1669,X1666) | ~transitive_reflexive_rewrite(c,X1668) | b = X1667 | ~transitive_reflexive_rewrite(X1667,b) | ~rewrite(X1671,b)) ) | ~spl3_15), 252.23/32.08 inference(condensation,[],[f10252])). 252.23/32.08 fof(f10252,plain,( 252.23/32.08 ( ! [X1667,X1670,X1671,X1666,X1669,X1668] : (~transitive_reflexive_rewrite(X1666,sK0(X1667,b)) | ~transitive_reflexive_rewrite(X1668,X1669) | ~rewrite(X1670,b) | ~transitive_reflexive_rewrite(X1669,X1666) | ~transitive_reflexive_rewrite(c,X1668) | b = X1667 | ~transitive_reflexive_rewrite(X1667,b) | ~rewrite(X1671,b)) ) | ~spl3_15), 252.23/32.08 inference(duplicate_literal_removal,[],[f9740])). 252.23/32.08 fof(f9740,plain,( 252.23/32.08 ( ! [X1667,X1670,X1671,X1666,X1669,X1668] : (~transitive_reflexive_rewrite(X1666,sK0(X1667,b)) | ~transitive_reflexive_rewrite(X1668,X1669) | ~rewrite(X1670,b) | ~transitive_reflexive_rewrite(X1669,X1666) | ~transitive_reflexive_rewrite(c,X1668) | ~rewrite(X1670,b) | b = X1667 | ~transitive_reflexive_rewrite(X1667,b) | ~rewrite(X1671,b) | ~rewrite(X1671,b)) ) | ~spl3_15), 252.23/32.08 inference(superposition,[],[f1103,f9415])). 252.23/32.08 fof(f1103,plain,( 252.23/32.08 ( ! [X28,X29,X26,X27,X24,X25] : (~transitive_reflexive_rewrite(X28,sK0(X29,sK1(X25,b))) | ~transitive_reflexive_rewrite(X26,X27) | ~rewrite(X24,b) | ~transitive_reflexive_rewrite(X27,X28) | ~transitive_reflexive_rewrite(c,X26) | ~rewrite(X24,X25) | sK1(X25,b) = X29 | ~transitive_reflexive_rewrite(X29,sK1(X25,b))) )), 252.23/32.08 inference(resolution,[],[f637,f37])). 252.23/32.08 fof(f637,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X19,sK1(X16,b)) | ~rewrite(X15,X16) | ~transitive_reflexive_rewrite(X14,X17) | ~rewrite(X15,b) | ~transitive_reflexive_rewrite(X17,X18) | ~transitive_reflexive_rewrite(c,X14) | ~transitive_reflexive_rewrite(X18,X19)) )), 252.23/32.08 inference(resolution,[],[f369,f42])). 252.23/32.08 fof(f369,plain,( 252.23/32.08 ( ! [X11,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(X15,sK1(X13,b)) | ~transitive_reflexive_rewrite(c,X12) | ~rewrite(X11,X13) | ~transitive_reflexive_rewrite(X12,X14) | ~rewrite(X11,b) | ~transitive_reflexive_rewrite(X14,X15)) )), 252.23/32.08 inference(resolution,[],[f163,f42])). 252.23/32.08 fof(f10419,plain,( 252.23/32.08 spl3_20 | spl3_73 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f10293,f1685,f10398,f1944])). 252.23/32.08 fof(f10398,plain,( 252.23/32.08 spl3_73 <=> ! [X242,X240,X239] : (~transitive_reflexive_rewrite(X239,sK0(X240,b)) | ~transitive_reflexive_rewrite(X240,b) | b = X240 | ~transitive_reflexive_rewrite(c,X242) | ~transitive_reflexive_rewrite(X242,X239))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_73])])). 252.23/32.08 fof(f10293,plain,( 252.23/32.08 ( ! [X1560,X1559,X1563,X1562] : (~transitive_reflexive_rewrite(X1559,sK0(X1560,b)) | ~transitive_reflexive_rewrite(X1562,X1559) | ~transitive_reflexive_rewrite(c,X1562) | b = X1560 | ~transitive_reflexive_rewrite(X1560,b) | ~rewrite(X1563,b)) ) | ~spl3_15), 252.23/32.08 inference(condensation,[],[f10292])). 252.23/32.08 fof(f10292,plain,( 252.23/32.08 ( ! [X1560,X1559,X1563,X1562,X1561] : (~transitive_reflexive_rewrite(X1559,sK0(X1560,b)) | ~rewrite(X1561,b) | ~transitive_reflexive_rewrite(X1562,X1559) | ~transitive_reflexive_rewrite(c,X1562) | b = X1560 | ~transitive_reflexive_rewrite(X1560,b) | ~rewrite(X1563,b)) ) | ~spl3_15), 252.23/32.08 inference(duplicate_literal_removal,[],[f9722])). 252.23/32.08 fof(f9722,plain,( 252.23/32.08 ( ! [X1560,X1559,X1563,X1562,X1561] : (~transitive_reflexive_rewrite(X1559,sK0(X1560,b)) | ~rewrite(X1561,b) | ~transitive_reflexive_rewrite(X1562,X1559) | ~rewrite(X1561,b) | ~transitive_reflexive_rewrite(c,X1562) | b = X1560 | ~transitive_reflexive_rewrite(X1560,b) | ~rewrite(X1563,b) | ~rewrite(X1563,b)) ) | ~spl3_15), 252.23/32.08 inference(superposition,[],[f638,f9415])). 252.23/32.08 fof(f638,plain,( 252.23/32.08 ( ! [X21,X24,X22,X23,X20] : (~transitive_reflexive_rewrite(X23,sK0(X24,sK1(X22,b))) | ~rewrite(X21,X22) | ~transitive_reflexive_rewrite(X20,X23) | ~rewrite(X21,b) | ~transitive_reflexive_rewrite(c,X20) | sK1(X22,b) = X24 | ~transitive_reflexive_rewrite(X24,sK1(X22,b))) )), 252.23/32.08 inference(resolution,[],[f369,f37])). 252.23/32.08 fof(f10417,plain,( 252.23/32.08 spl3_20 | spl3_18 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f10372,f1685,f1936,f1944])). 252.23/32.08 fof(f1936,plain,( 252.23/32.08 spl3_18 <=> ! [X46] : (~transitive_reflexive_rewrite(c,sK0(X46,b)) | ~transitive_reflexive_rewrite(X46,b) | b = X46)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_18])])). 252.23/32.08 fof(f10372,plain,( 252.23/32.08 ( ! [X1400,X1402] : (~transitive_reflexive_rewrite(c,sK0(X1400,b)) | b = X1400 | ~transitive_reflexive_rewrite(X1400,b) | ~rewrite(X1402,b)) ) | ~spl3_15), 252.23/32.08 inference(condensation,[],[f10371])). 252.23/32.08 fof(f10371,plain,( 252.23/32.08 ( ! [X1400,X1402,X1401] : (~transitive_reflexive_rewrite(c,sK0(X1400,b)) | ~rewrite(X1401,b) | b = X1400 | ~transitive_reflexive_rewrite(X1400,b) | ~rewrite(X1402,b)) ) | ~spl3_15), 252.23/32.08 inference(duplicate_literal_removal,[],[f9688])). 252.23/32.08 fof(f9688,plain,( 252.23/32.08 ( ! [X1400,X1402,X1401] : (~transitive_reflexive_rewrite(c,sK0(X1400,b)) | ~rewrite(X1401,b) | ~rewrite(X1401,b) | b = X1400 | ~transitive_reflexive_rewrite(X1400,b) | ~rewrite(X1402,b) | ~rewrite(X1402,b)) ) | ~spl3_15), 252.23/32.08 inference(superposition,[],[f164,f9415])). 252.23/32.08 fof(f164,plain,( 252.23/32.08 ( ! [X14,X12,X13] : (~transitive_reflexive_rewrite(c,sK0(X14,sK1(X13,b))) | ~rewrite(X12,b) | ~rewrite(X12,X13) | sK1(X13,b) = X14 | ~transitive_reflexive_rewrite(X14,sK1(X13,b))) )), 252.23/32.08 inference(resolution,[],[f98,f37])). 252.23/32.08 fof(f10416,plain,( 252.23/32.08 spl3_77 | spl3_68 | ~spl3_15 | ~spl3_69), 252.23/32.08 inference(avatar_split_clause,[],[f9585,f9334,f1685,f9331,f10414])). 252.23/32.08 fof(f10414,plain,( 252.23/32.08 spl3_77 <=> ! [X924,X919,X921,X923] : (~rewrite(X921,X919) | ~rewrite(X924,b) | ~rewrite(X924,X919) | ~rewrite(X921,b) | ~rewrite(X923,b) | ~rewrite(X923,X919))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_77])])). 252.23/32.08 fof(f9585,plain,( 252.23/32.08 ( ! [X924,X922,X921,X923,X919,X920] : (~transitive_reflexive_rewrite(X920,b) | ~rewrite(X921,X919) | ~rewrite(a,X922) | ~rewrite(X923,b) | ~rewrite(X923,X919) | ~transitive_reflexive_rewrite(X922,c) | ~rewrite(X921,b) | ~transitive_reflexive_rewrite(X922,X920) | ~rewrite(X924,b) | ~rewrite(X924,X919)) ) | (~spl3_15 | ~spl3_69)), 252.23/32.08 inference(superposition,[],[f9340,f9415])). 252.23/32.08 fof(f9340,plain,( 252.23/32.08 ( ! [X11,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(X15,sK1(b,X12)) | ~rewrite(X11,X12) | ~rewrite(a,X13) | ~rewrite(X14,b) | ~rewrite(X14,X12) | ~transitive_reflexive_rewrite(X13,c) | ~rewrite(X11,b) | ~transitive_reflexive_rewrite(X13,X15)) ) | ~spl3_69), 252.23/32.08 inference(resolution,[],[f9335,f42])). 252.23/32.08 fof(f9335,plain,( 252.23/32.08 ( ! [X3,X0,X1,X5] : (~transitive_reflexive_rewrite(X0,sK1(b,X1)) | ~rewrite(X5,b) | ~rewrite(X5,X1) | ~rewrite(a,X0) | ~rewrite(X3,b) | ~rewrite(X3,X1) | ~transitive_reflexive_rewrite(X0,c)) ) | ~spl3_69), 252.23/32.08 inference(avatar_component_clause,[],[f9334])). 252.23/32.08 fof(f10412,plain,( 252.23/32.08 spl3_17 | spl3_76 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9560,f1685,f10410,f1933])). 252.23/32.08 fof(f1933,plain,( 252.23/32.08 spl3_17 <=> ! [X45,X48,X47] : (~rewrite(X47,X45) | ~rewrite(X48,b) | ~rewrite(X48,X45) | ~rewrite(X47,b))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_17])])). 252.23/32.08 fof(f9560,plain,( 252.23/32.08 ( ! [X742,X739,X745,X744,X741,X743,X740] : (~transitive_reflexive_rewrite(X740,b) | ~transitive_reflexive_rewrite(X741,b) | ~transitive_reflexive_rewrite(X741,X742) | ~rewrite(X743,b) | ~transitive_reflexive_rewrite(c,X742) | ~rewrite(a,X744) | ~rewrite(X743,X739) | ~transitive_reflexive_rewrite(X744,X742) | ~rewrite(a,X741) | ~transitive_reflexive_rewrite(X744,X740) | ~rewrite(X745,b) | ~rewrite(X745,X739)) ) | ~spl3_15), 252.23/32.08 inference(superposition,[],[f3866,f9415])). 252.23/32.08 fof(f3866,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X19,sK1(b,X15)) | ~transitive_reflexive_rewrite(X14,sK1(b,X15)) | ~transitive_reflexive_rewrite(X14,X16) | ~rewrite(X17,b) | ~transitive_reflexive_rewrite(c,X16) | ~rewrite(a,X18) | ~rewrite(X17,X15) | ~transitive_reflexive_rewrite(X18,X16) | ~rewrite(a,X14) | ~transitive_reflexive_rewrite(X18,X19)) )), 252.23/32.08 inference(resolution,[],[f2065,f42])). 252.23/32.08 fof(f2065,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~transitive_reflexive_rewrite(X9,sK1(b,X6)) | ~rewrite(a,X7) | ~transitive_reflexive_rewrite(X7,sK1(b,X6)) | ~transitive_reflexive_rewrite(X7,X8) | ~rewrite(X5,b) | ~transitive_reflexive_rewrite(c,X8) | ~rewrite(a,X9) | ~rewrite(X5,X6) | ~transitive_reflexive_rewrite(X9,X8)) )), 252.23/32.08 inference(resolution,[],[f748,f41])). 252.23/32.08 fof(f10408,plain,( 252.23/32.08 spl3_17 | spl3_75 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9528,f1685,f10406,f1933])). 252.23/32.08 fof(f9528,plain,( 252.23/32.08 ( ! [X526,X528,X525,X527,X524] : (~transitive_reflexive_rewrite(c,sK0(X525,sK0(X526,b))) | ~rewrite(X527,b) | ~rewrite(X527,X524) | b = X526 | ~transitive_reflexive_rewrite(X526,b) | sK0(X526,b) = X525 | ~transitive_reflexive_rewrite(X525,sK0(X526,b)) | ~rewrite(X528,b) | ~rewrite(X528,X524)) ) | ~spl3_15), 252.23/32.08 inference(superposition,[],[f1484,f9415])). 252.23/32.08 fof(f1484,plain,( 252.23/32.08 ( ! [X11,X14,X12,X13] : (~transitive_reflexive_rewrite(c,sK0(X11,sK0(X12,sK1(b,X13)))) | ~rewrite(X14,b) | ~rewrite(X14,X13) | sK1(b,X13) = X12 | ~transitive_reflexive_rewrite(X12,sK1(b,X13)) | sK0(X12,sK1(b,X13)) = X11 | ~transitive_reflexive_rewrite(X11,sK0(X12,sK1(b,X13)))) )), 252.23/32.08 inference(resolution,[],[f365,f37])). 252.23/32.08 fof(f365,plain,( 252.23/32.08 ( ! [X18,X19,X16,X17] : (~transitive_reflexive_rewrite(X18,sK0(X19,sK1(b,X17))) | ~transitive_reflexive_rewrite(c,X18) | ~rewrite(X16,b) | ~rewrite(X16,X17) | sK1(b,X17) = X19 | ~transitive_reflexive_rewrite(X19,sK1(b,X17))) )), 252.23/32.08 inference(resolution,[],[f158,f37])). 252.23/32.08 fof(f158,plain,( 252.23/32.08 ( ! [X10,X11,X8,X9] : (~transitive_reflexive_rewrite(X11,sK1(b,X9)) | ~rewrite(X8,X9) | ~transitive_reflexive_rewrite(c,X10) | ~rewrite(X8,b) | ~transitive_reflexive_rewrite(X10,X11)) )), 252.23/32.08 inference(resolution,[],[f92,f42])). 252.23/32.08 fof(f92,plain,( 252.23/32.08 ( ! [X2,X3,X4] : (~transitive_reflexive_rewrite(X4,sK1(b,X3)) | ~rewrite(X2,b) | ~rewrite(X2,X3) | ~transitive_reflexive_rewrite(c,X4)) )), 252.23/32.08 inference(resolution,[],[f76,f42])). 252.23/32.08 fof(f76,plain,( 252.23/32.08 ( ! [X3,X4] : (~transitive_reflexive_rewrite(c,sK1(b,X4)) | ~rewrite(X3,X4) | ~rewrite(X3,b)) )), 252.23/32.08 inference(resolution,[],[f38,f59])). 252.23/32.08 fof(f10404,plain,( 252.23/32.08 spl3_17 | spl3_74 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9504,f1685,f10402,f1933])). 252.23/32.08 fof(f9504,plain,( 252.23/32.08 ( ! [X363,X369,X367,X368,X366,X365,X364] : (~transitive_reflexive_rewrite(X364,sK0(X365,b)) | ~transitive_reflexive_rewrite(X366,X367) | ~rewrite(X368,X363) | ~transitive_reflexive_rewrite(X367,X364) | ~transitive_reflexive_rewrite(c,X366) | ~rewrite(X368,b) | b = X365 | ~transitive_reflexive_rewrite(X365,b) | ~rewrite(X369,b) | ~rewrite(X369,X363)) ) | ~spl3_15), 252.23/32.08 inference(superposition,[],[f1091,f9415])). 252.23/32.08 fof(f1091,plain,( 252.23/32.08 ( ! [X28,X29,X26,X27,X24,X25] : (~transitive_reflexive_rewrite(X28,sK0(X29,sK1(b,X27))) | ~transitive_reflexive_rewrite(X25,X26) | ~rewrite(X24,X27) | ~transitive_reflexive_rewrite(X26,X28) | ~transitive_reflexive_rewrite(c,X25) | ~rewrite(X24,b) | sK1(b,X27) = X29 | ~transitive_reflexive_rewrite(X29,sK1(b,X27))) )), 252.23/32.08 inference(resolution,[],[f632,f37])). 252.23/32.08 fof(f632,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X19,sK1(b,X17)) | ~rewrite(X15,b) | ~transitive_reflexive_rewrite(X14,X16) | ~rewrite(X15,X17) | ~transitive_reflexive_rewrite(X16,X18) | ~transitive_reflexive_rewrite(c,X14) | ~transitive_reflexive_rewrite(X18,X19)) )), 252.23/32.08 inference(resolution,[],[f364,f42])). 252.23/32.08 fof(f364,plain,( 252.23/32.08 ( ! [X11,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(X15,sK1(b,X12)) | ~transitive_reflexive_rewrite(c,X13) | ~rewrite(X11,b) | ~transitive_reflexive_rewrite(X13,X14) | ~rewrite(X11,X12) | ~transitive_reflexive_rewrite(X14,X15)) )), 252.23/32.08 inference(resolution,[],[f158,f42])). 252.23/32.08 fof(f10400,plain,( 252.23/32.08 spl3_17 | spl3_73 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f9486,f1685,f10398,f1933])). 252.23/32.08 fof(f9486,plain,( 252.23/32.08 ( ! [X242,X243,X240,X238,X241,X239] : (~transitive_reflexive_rewrite(X239,sK0(X240,b)) | ~rewrite(X241,b) | ~transitive_reflexive_rewrite(X242,X239) | ~rewrite(X241,X238) | ~transitive_reflexive_rewrite(c,X242) | b = X240 | ~transitive_reflexive_rewrite(X240,b) | ~rewrite(X243,b) | ~rewrite(X243,X238)) ) | ~spl3_15), 252.23/32.08 inference(superposition,[],[f633,f9415])). 252.23/32.08 fof(f633,plain,( 252.23/32.08 ( ! [X21,X24,X22,X23,X20] : (~transitive_reflexive_rewrite(X22,sK0(X24,sK1(b,X23))) | ~rewrite(X21,b) | ~transitive_reflexive_rewrite(X20,X22) | ~rewrite(X21,X23) | ~transitive_reflexive_rewrite(c,X20) | sK1(b,X23) = X24 | ~transitive_reflexive_rewrite(X24,sK1(b,X23))) )), 252.23/32.08 inference(resolution,[],[f364,f37])). 252.23/32.08 fof(f9434,plain,( 252.23/32.08 spl3_11 | ~spl3_72 | ~spl3_3 | ~spl3_21), 252.23/32.08 inference(avatar_split_clause,[],[f9429,f1949,f55,f9431,f534])). 252.23/32.08 fof(f9431,plain,( 252.23/32.08 spl3_72 <=> rewrite(a,b)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_72])])). 252.23/32.08 fof(f1949,plain,( 252.23/32.08 spl3_21 <=> ! [X447] : (~rewrite(X447,b) | ~rewrite(X447,sK0(a,c)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_21])])). 252.23/32.08 fof(f9429,plain,( 252.23/32.08 ~rewrite(a,b) | a = c | (~spl3_3 | ~spl3_21)), 252.23/32.08 inference(subsumption_resolution,[],[f9428,f57])). 252.23/32.08 fof(f9428,plain,( 252.23/32.08 ~rewrite(a,b) | a = c | ~transitive_reflexive_rewrite(a,c) | ~spl3_21), 252.23/32.08 inference(resolution,[],[f1950,f36])). 252.23/32.08 fof(f1950,plain,( 252.23/32.08 ( ! [X447] : (~rewrite(X447,sK0(a,c)) | ~rewrite(X447,b)) ) | ~spl3_21), 252.23/32.08 inference(avatar_component_clause,[],[f1949])). 252.23/32.08 fof(f9427,plain,( 252.23/32.08 ~spl3_24), 252.23/32.08 inference(avatar_contradiction_clause,[],[f9426])). 252.23/32.08 fof(f9426,plain,( 252.23/32.08 $false | ~spl3_24), 252.23/32.08 inference(subsumption_resolution,[],[f9419,f43])). 252.23/32.08 fof(f9419,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(b,b) | ~spl3_24), 252.23/32.08 inference(resolution,[],[f1961,f43])). 252.23/32.08 fof(f1961,plain,( 252.23/32.08 ( ! [X452] : (~transitive_reflexive_rewrite(b,X452) | ~transitive_reflexive_rewrite(X452,b)) ) | ~spl3_24), 252.23/32.08 inference(avatar_component_clause,[],[f1960])). 252.23/32.08 fof(f9411,plain,( 252.23/32.08 spl3_68 | spl3_15 | ~spl3_71), 252.23/32.08 inference(avatar_split_clause,[],[f9410,f9393,f1685,f9331])). 252.23/32.08 fof(f9393,plain,( 252.23/32.08 spl3_71 <=> ! [X0,X1] : (~transitive_reflexive_rewrite(X0,sK0(b,X1)) | ~rewrite(a,X0) | b = X1 | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(X0,c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_71])])). 252.23/32.08 fof(f9410,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(X1,c) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,X2) | b = X0 | ~transitive_reflexive_rewrite(X2,b)) ) | ~spl3_71), 252.23/32.08 inference(duplicate_literal_removal,[],[f9406])). 252.23/32.08 fof(f9406,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(X1,c) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,X2) | b = X0 | ~transitive_reflexive_rewrite(X2,b) | ~transitive_reflexive_rewrite(b,X0) | b = X0) ) | ~spl3_71), 252.23/32.08 inference(resolution,[],[f9403,f74])). 252.23/32.08 fof(f9403,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X7,sK0(b,X4)) | ~transitive_reflexive_rewrite(b,X4) | ~transitive_reflexive_rewrite(X5,c) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X5,X6) | b = X4 | ~transitive_reflexive_rewrite(X6,X7)) ) | ~spl3_71), 252.23/32.08 inference(resolution,[],[f9398,f42])). 252.23/32.08 fof(f9398,plain,( 252.23/32.08 ( ! [X2,X3,X4] : (~transitive_reflexive_rewrite(X4,sK0(b,X3)) | b = X3 | ~transitive_reflexive_rewrite(b,X3) | ~transitive_reflexive_rewrite(X2,c) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,X4)) ) | ~spl3_71), 252.23/32.08 inference(resolution,[],[f9394,f42])). 252.23/32.08 fof(f9394,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X0,sK0(b,X1)) | ~rewrite(a,X0) | b = X1 | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(X0,c)) ) | ~spl3_71), 252.23/32.08 inference(avatar_component_clause,[],[f9393])). 252.23/32.08 fof(f9395,plain,( 252.23/32.08 spl3_68 | spl3_71), 252.23/32.08 inference(avatar_split_clause,[],[f9391,f9393,f9331])). 252.23/32.08 fof(f9391,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,sK0(b,X1)) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(X2,c) | b = X1 | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,b)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f9387])). 252.23/32.08 fof(f9387,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,sK0(b,X1)) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(X2,c) | b = X1 | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,b) | ~transitive_reflexive_rewrite(b,X1) | b = X1) )), 252.23/32.08 inference(resolution,[],[f4076,f74])). 252.23/32.08 fof(f4076,plain,( 252.23/32.08 ( ! [X10,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X10,sK0(b,X7)) | ~transitive_reflexive_rewrite(X6,sK0(b,X7)) | ~transitive_reflexive_rewrite(X6,c) | ~rewrite(a,X8) | ~transitive_reflexive_rewrite(b,X7) | ~transitive_reflexive_rewrite(X8,c) | b = X7 | ~transitive_reflexive_rewrite(X8,X9) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X9,X10)) )), 252.23/32.08 inference(resolution,[],[f2400,f42])). 252.23/32.08 fof(f2400,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X7,sK0(b,X4)) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X5,sK0(b,X4)) | ~transitive_reflexive_rewrite(X5,c) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(b,X4) | ~transitive_reflexive_rewrite(X6,c) | b = X4 | ~transitive_reflexive_rewrite(X6,X7)) )), 252.23/32.08 inference(resolution,[],[f796,f42])). 252.23/32.08 fof(f796,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X2,sK0(b,X0)) | b = X0 | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,sK0(b,X0)) | ~transitive_reflexive_rewrite(X1,c) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(X2,c)) )), 252.23/32.08 inference(resolution,[],[f152,f41])). 252.23/32.08 fof(f9362,plain,( 252.23/32.08 spl3_68 | spl3_70), 252.23/32.08 inference(avatar_split_clause,[],[f9355,f9360,f9331])). 252.23/32.08 fof(f9355,plain,( 252.23/32.08 ( ! [X10,X11,X8,X6,X9,X7] : (~transitive_reflexive_rewrite(X6,sK1(X7,b)) | ~transitive_reflexive_rewrite(X6,c) | ~rewrite(a,X8) | ~rewrite(X9,X7) | ~transitive_reflexive_rewrite(X8,c) | ~rewrite(X9,b) | ~transitive_reflexive_rewrite(X8,X10) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X10,b) | ~rewrite(X11,X7) | ~rewrite(X11,b)) )), 252.23/32.08 inference(resolution,[],[f4056,f39])). 252.23/32.08 fof(f4056,plain,( 252.23/32.08 ( ! [X18,X19,X16,X14,X17,X15] : (~transitive_reflexive_rewrite(X19,sK1(X15,b)) | ~transitive_reflexive_rewrite(X14,sK1(X15,b)) | ~transitive_reflexive_rewrite(X14,c) | ~rewrite(a,X16) | ~rewrite(X17,X15) | ~transitive_reflexive_rewrite(X16,c) | ~rewrite(X17,b) | ~transitive_reflexive_rewrite(X16,X18) | ~rewrite(a,X14) | ~transitive_reflexive_rewrite(X18,X19)) )), 252.23/32.08 inference(resolution,[],[f2359,f42])). 252.23/32.08 fof(f2359,plain,( 252.23/32.08 ( ! [X11,X14,X15,X12,X13] : (~transitive_reflexive_rewrite(X15,sK1(X13,b)) | ~rewrite(a,X12) | ~transitive_reflexive_rewrite(X12,sK1(X13,b)) | ~transitive_reflexive_rewrite(X12,c) | ~rewrite(a,X14) | ~rewrite(X11,X13) | ~transitive_reflexive_rewrite(X14,c) | ~rewrite(X11,b) | ~transitive_reflexive_rewrite(X14,X15)) )), 252.23/32.08 inference(resolution,[],[f768,f42])). 252.23/32.08 fof(f768,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X3,sK1(X1,b)) | ~rewrite(X0,b) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,sK1(X1,b)) | ~transitive_reflexive_rewrite(X2,c) | ~rewrite(a,X3) | ~rewrite(X0,X1) | ~transitive_reflexive_rewrite(X3,c)) )), 252.23/32.08 inference(resolution,[],[f144,f41])). 252.23/32.08 fof(f9336,plain,( 252.23/32.08 spl3_68 | spl3_69), 252.23/32.08 inference(avatar_split_clause,[],[f9325,f9334,f9331])). 252.23/32.08 fof(f9325,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4,X5] : (~transitive_reflexive_rewrite(X0,sK1(b,X1)) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X2) | ~rewrite(X3,b) | ~transitive_reflexive_rewrite(X2,c) | ~rewrite(X3,X1) | ~transitive_reflexive_rewrite(X2,X4) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X4,b) | ~rewrite(X5,b) | ~rewrite(X5,X1)) )), 252.23/32.08 inference(resolution,[],[f4044,f38])). 252.23/32.08 fof(f9226,plain,( 252.23/32.08 spl3_7 | spl3_67 | ~spl3_2 | ~spl3_33 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f9222,f8872,f3489,f50,f9224,f238])). 252.23/32.08 fof(f9224,plain,( 252.23/32.08 spl3_67 <=> ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(a,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_67])])). 252.23/32.08 fof(f9222,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X0) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f9221,f52])). 252.23/32.08 fof(f9221,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X0) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(duplicate_literal_removal,[],[f9218])). 252.23/32.08 fof(f9218,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X0) | ~rewrite(a,X2) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f9212,f36])). 252.23/32.08 fof(f9212,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~rewrite(X4,sK0(a,b)) | ~transitive_reflexive_rewrite(X6,X7) | ~rewrite(X4,X5) | ~transitive_reflexive_rewrite(X7,X5) | ~transitive_reflexive_rewrite(c,X6) | ~rewrite(a,X5)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f9197,f3490])). 252.23/32.08 fof(f9197,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~rewrite(X9,sK0(a,b)) | ~rewrite(X6,X7) | ~transitive_reflexive_rewrite(X5,X8) | ~rewrite(X6,sK0(a,b)) | ~transitive_reflexive_rewrite(X8,X7) | ~transitive_reflexive_rewrite(c,X5) | ~rewrite(X9,X7)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9082,f39])). 252.23/32.08 fof(f9217,plain,( 252.23/32.08 spl3_7 | spl3_66 | ~spl3_2 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f9213,f8872,f50,f9215,f238])). 252.23/32.08 fof(f9215,plain,( 252.23/32.08 spl3_66 <=> ! [X0,X3,X2,X1] : (~rewrite(X0,X1) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(c,X2) | ~rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X3,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_66])])). 252.23/32.08 fof(f9213,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(c,X2) | ~rewrite(a,X1) | a = b) ) | (~spl3_2 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f9211,f52])). 252.23/32.08 fof(f9211,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(c,X2) | ~rewrite(a,X1) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9197,f36])). 252.23/32.08 fof(f9108,plain,( 252.23/32.08 spl3_7 | spl3_65 | ~spl3_2 | ~spl3_33 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f9104,f8872,f3489,f50,f9106,f238])). 252.23/32.08 fof(f9106,plain,( 252.23/32.08 spl3_65 <=> ! [X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X1,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_65])])). 252.23/32.08 fof(f9104,plain,( 252.23/32.08 ( ! [X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X0) | ~transitive_reflexive_rewrite(c,X1) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f9103,f52])). 252.23/32.08 fof(f9103,plain,( 252.23/32.08 ( ! [X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X0) | ~transitive_reflexive_rewrite(c,X1) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(duplicate_literal_removal,[],[f9100])). 252.23/32.08 fof(f9100,plain,( 252.23/32.08 ( ! [X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X0) | ~transitive_reflexive_rewrite(c,X1) | ~rewrite(a,X0) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f9090,f36])). 252.23/32.08 fof(f9090,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~rewrite(X4,sK0(a,b)) | ~rewrite(X4,X5) | ~transitive_reflexive_rewrite(X3,X5) | ~transitive_reflexive_rewrite(c,X3) | ~rewrite(a,X5)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f9080,f3490])). 252.23/32.08 fof(f9080,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~rewrite(X7,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X5) | ~rewrite(X4,X6) | ~transitive_reflexive_rewrite(X5,X6) | ~rewrite(X4,sK0(a,b)) | ~rewrite(X7,X6)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8952,f39])). 252.23/32.08 fof(f9095,plain,( 252.23/32.08 spl3_7 | spl3_64 | ~spl3_2 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f9091,f8872,f50,f9093,f238])). 252.23/32.08 fof(f9093,plain,( 252.23/32.08 spl3_64 <=> ! [X2,X0,X1] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(a,X2) | ~rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(X1,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_64])])). 252.23/32.08 fof(f9091,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(X1,sK0(a,b)) | ~rewrite(a,X2) | a = b) ) | (~spl3_2 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f9089,f52])). 252.23/32.08 fof(f9089,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(X1,sK0(a,b)) | ~rewrite(a,X2) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f9080,f36])). 252.23/32.08 fof(f8979,plain,( 252.23/32.08 spl3_7 | spl3_63 | ~spl3_2 | ~spl3_33 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f8975,f8872,f3489,f50,f8977,f238])). 252.23/32.08 fof(f8975,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(a,X0) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f8974,f52])). 252.23/32.08 fof(f8974,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(a,X0) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(duplicate_literal_removal,[],[f8971])). 252.23/32.08 fof(f8971,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(c,X0) | ~rewrite(a,X0) | ~rewrite(a,X0) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f8965,f36])). 252.23/32.08 fof(f8965,plain,( 252.23/32.08 ( ! [X2,X3] : (~rewrite(X2,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X3) | ~rewrite(X2,X3) | ~rewrite(a,X3)) ) | (~spl3_33 | ~spl3_61)), 252.23/32.08 inference(resolution,[],[f8950,f3490])). 252.23/32.08 fof(f8950,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~rewrite(X5,sK0(a,b)) | ~rewrite(X3,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X4) | ~rewrite(X3,X4) | ~rewrite(X5,X4)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8908,f39])). 252.23/32.08 fof(f8970,plain,( 252.23/32.08 spl3_7 | spl3_62 | ~spl3_2 | ~spl3_61), 252.23/32.08 inference(avatar_split_clause,[],[f8966,f8872,f50,f8968,f238])). 252.23/32.08 fof(f8966,plain,( 252.23/32.08 ( ! [X0,X1] : (~rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X1) | ~rewrite(X0,X1) | ~rewrite(a,X1) | a = b) ) | (~spl3_2 | ~spl3_61)), 252.23/32.08 inference(subsumption_resolution,[],[f8964,f52])). 252.23/32.08 fof(f8964,plain,( 252.23/32.08 ( ! [X0,X1] : (~rewrite(X0,sK0(a,b)) | ~transitive_reflexive_rewrite(c,X1) | ~rewrite(X0,X1) | ~rewrite(a,X1) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_61), 252.23/32.08 inference(resolution,[],[f8950,f36])). 252.23/32.08 fof(f8874,plain,( 252.23/32.08 spl3_60 | spl3_60 | spl3_60 | spl3_61 | ~spl3_33), 252.23/32.08 inference(avatar_split_clause,[],[f8866,f3489,f8872,f8869,f8869,f8869])). 252.23/32.08 fof(f8866,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(sK0(a,b),X0) | ~rewrite(X1,b) | ~transitive_reflexive_rewrite(c,X0) | ~rewrite(X1,sK0(a,b)) | ~rewrite(X2,b) | ~rewrite(X2,sK0(a,b)) | ~rewrite(X3,b) | ~rewrite(X3,sK0(a,b))) ) | ~spl3_33), 252.23/32.08 inference(resolution,[],[f8245,f3490])). 252.23/32.08 fof(f8245,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~rewrite(a,X5) | ~transitive_reflexive_rewrite(X5,X6) | ~rewrite(X7,b) | ~transitive_reflexive_rewrite(c,X6) | ~rewrite(X7,X5) | ~rewrite(X8,b) | ~rewrite(X8,X5) | ~rewrite(X9,b) | ~rewrite(X9,X5)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f8241])). 252.23/32.08 fof(f8241,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~rewrite(a,X5) | ~transitive_reflexive_rewrite(X5,X6) | ~rewrite(X7,b) | ~transitive_reflexive_rewrite(c,X6) | ~rewrite(a,X5) | ~rewrite(X7,X5) | ~transitive_reflexive_rewrite(X5,X6) | ~rewrite(X8,b) | ~rewrite(X8,X5) | ~rewrite(X9,b) | ~rewrite(X9,X5)) )), 252.23/32.08 inference(resolution,[],[f3864,f39])). 252.23/32.08 fof(f3864,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~transitive_reflexive_rewrite(X5,sK1(b,X6)) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X5,X7) | ~rewrite(X8,b) | ~transitive_reflexive_rewrite(c,X7) | ~rewrite(a,X6) | ~rewrite(X8,X6) | ~transitive_reflexive_rewrite(X6,X7) | ~rewrite(X9,b) | ~rewrite(X9,X6)) )), 252.23/32.08 inference(resolution,[],[f2065,f39])). 252.23/32.08 fof(f8595,plain,( 252.23/32.08 spl3_7 | spl3_59 | ~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48), 252.23/32.08 inference(avatar_split_clause,[],[f8591,f7652,f3493,f3489,f50,f8593,f238])). 252.23/32.08 fof(f8593,plain,( 252.23/32.08 spl3_59 <=> ! [X2,X4,X0,X3,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(X2,c) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X1,X3) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_59])])). 252.23/32.08 fof(f8591,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(X2,X0) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X2,c) | ~transitive_reflexive_rewrite(X4,a) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(subsumption_resolution,[],[f8586,f52])). 252.23/32.08 fof(f8586,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X1,X3) | ~transitive_reflexive_rewrite(X2,X0) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X2,c) | ~transitive_reflexive_rewrite(X4,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f8032,f74])). 252.23/32.08 fof(f8173,plain,( 252.23/32.08 spl3_57 | ~spl3_58 | ~spl3_33 | ~spl3_34 | ~spl3_37 | ~spl3_48), 252.23/32.08 inference(avatar_split_clause,[],[f8164,f7652,f3518,f3493,f3489,f8170,f8166])). 252.23/32.08 fof(f8166,plain,( 252.23/32.08 spl3_57 <=> a = sK0(a,b)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_57])])). 252.23/32.08 fof(f8164,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,sK0(a,b)),c) | a = sK0(a,b) | (~spl3_33 | ~spl3_34 | ~spl3_37 | ~spl3_48)), 252.23/32.08 inference(subsumption_resolution,[],[f8163,f3520])). 252.23/32.08 fof(f8163,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,sK0(a,b)),c) | a = sK0(a,b) | ~transitive_reflexive_rewrite(a,sK0(a,b)) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(duplicate_literal_removal,[],[f8162])). 252.23/32.08 fof(f8162,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,sK0(a,b)),c) | a = sK0(a,b) | ~transitive_reflexive_rewrite(a,sK0(a,b)) | a = sK0(a,b) | ~transitive_reflexive_rewrite(a,sK0(a,b)) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7677,f36])). 252.23/32.08 fof(f7677,plain,( 252.23/32.08 ( ! [X2] : (~rewrite(a,sK0(X2,sK0(a,b))) | ~transitive_reflexive_rewrite(sK0(X2,sK0(a,b)),c) | sK0(a,b) = X2 | ~transitive_reflexive_rewrite(X2,sK0(a,b))) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7661,f37])). 252.23/32.08 fof(f8039,plain,( 252.23/32.08 spl3_7 | spl3_56 | ~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48), 252.23/32.08 inference(avatar_split_clause,[],[f8035,f7652,f3493,f3489,f50,f8037,f238])). 252.23/32.08 fof(f8037,plain,( 252.23/32.08 spl3_56 <=> ! [X0,X3,X2,X1] : (~transitive_reflexive_rewrite(X0,c) | ~transitive_reflexive_rewrite(X3,a) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_56])])). 252.23/32.08 fof(f8035,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,c) | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X3,a) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(subsumption_resolution,[],[f8030,f52])). 252.23/32.08 fof(f8030,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,c) | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X3,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7793,f74])). 252.23/32.08 fof(f7800,plain,( 252.23/32.08 spl3_7 | spl3_55 | ~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48), 252.23/32.08 inference(avatar_split_clause,[],[f7796,f7652,f3493,f3489,f50,f7798,f238])). 252.23/32.08 fof(f7798,plain,( 252.23/32.08 spl3_55 <=> ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,a) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_55])])). 252.23/32.08 fof(f7796,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X0,c) | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X2,a) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(subsumption_resolution,[],[f7791,f52])). 252.23/32.08 fof(f7791,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X0,c) | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X2,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7743,f74])). 252.23/32.08 fof(f7750,plain,( 252.23/32.08 spl3_7 | spl3_54 | ~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48), 252.23/32.08 inference(avatar_split_clause,[],[f7746,f7652,f3493,f3489,f50,f7748,f238])). 252.23/32.08 fof(f7748,plain,( 252.23/32.08 spl3_54 <=> ! [X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,a) | ~transitive_reflexive_rewrite(X0,c) | ~transitive_reflexive_rewrite(X0,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_54])])). 252.23/32.08 fof(f7746,plain,( 252.23/32.08 ( ! [X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X0,c) | ~transitive_reflexive_rewrite(X1,a) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(subsumption_resolution,[],[f7741,f52])). 252.23/32.08 fof(f7741,plain,( 252.23/32.08 ( ! [X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X0,c) | ~transitive_reflexive_rewrite(X1,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7686,f74])). 252.23/32.08 fof(f7711,plain,( 252.23/32.08 spl3_11 | ~spl3_53 | ~spl3_3 | ~spl3_33 | ~spl3_34 | ~spl3_37 | ~spl3_48), 252.23/32.08 inference(avatar_split_clause,[],[f7706,f7652,f3518,f3493,f3489,f55,f7708,f534])). 252.23/32.08 fof(f7706,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,c),a) | a = c | (~spl3_3 | ~spl3_33 | ~spl3_34 | ~spl3_37 | ~spl3_48)), 252.23/32.08 inference(subsumption_resolution,[],[f7705,f57])). 252.23/32.08 fof(f7705,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,c),a) | a = c | ~transitive_reflexive_rewrite(a,c) | (~spl3_33 | ~spl3_34 | ~spl3_37 | ~spl3_48)), 252.23/32.08 inference(duplicate_literal_removal,[],[f7703])). 252.23/32.08 fof(f7703,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,c),a) | a = c | ~transitive_reflexive_rewrite(a,c) | a = c | ~transitive_reflexive_rewrite(a,c) | (~spl3_33 | ~spl3_34 | ~spl3_37 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7695,f37])). 252.23/32.08 fof(f7695,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(sK0(a,X0),c) | ~transitive_reflexive_rewrite(sK0(a,X0),a) | a = X0 | ~transitive_reflexive_rewrite(a,X0)) ) | (~spl3_33 | ~spl3_34 | ~spl3_37 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7687,f36])). 252.23/32.08 fof(f7687,plain,( 252.23/32.08 ( ! [X5] : (~rewrite(a,X5) | ~transitive_reflexive_rewrite(X5,c) | ~transitive_reflexive_rewrite(X5,a)) ) | (~spl3_33 | ~spl3_34 | ~spl3_37 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7675,f3520])). 252.23/32.08 fof(f7693,plain,( 252.23/32.08 spl3_7 | spl3_52 | ~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48), 252.23/32.08 inference(avatar_split_clause,[],[f7689,f7652,f3493,f3489,f50,f7691,f238])). 252.23/32.08 fof(f7691,plain,( 252.23/32.08 spl3_52 <=> ! [X0] : (~transitive_reflexive_rewrite(X0,c) | ~transitive_reflexive_rewrite(X0,a) | ~rewrite(a,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_52])])). 252.23/32.08 fof(f7689,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,a) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(subsumption_resolution,[],[f7684,f52])). 252.23/32.08 fof(f7684,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,a) | ~transitive_reflexive_rewrite(a,b) | a = b) ) | (~spl3_33 | ~spl3_34 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7675,f74])). 252.23/32.08 fof(f7683,plain,( 252.23/32.08 ~spl3_51 | ~spl3_3 | ~spl3_33 | ~spl3_34 | ~spl3_37 | ~spl3_48), 252.23/32.08 inference(avatar_split_clause,[],[f7678,f7652,f3518,f3493,f3489,f55,f7680])). 252.23/32.08 fof(f7680,plain,( 252.23/32.08 spl3_51 <=> rewrite(a,a)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_51])])). 252.23/32.08 fof(f7678,plain,( 252.23/32.08 ~rewrite(a,a) | (~spl3_3 | ~spl3_33 | ~spl3_34 | ~spl3_37 | ~spl3_48)), 252.23/32.08 inference(subsumption_resolution,[],[f7676,f57])). 252.23/32.08 fof(f7676,plain,( 252.23/32.08 ~rewrite(a,a) | ~transitive_reflexive_rewrite(a,c) | (~spl3_33 | ~spl3_34 | ~spl3_37 | ~spl3_48)), 252.23/32.08 inference(resolution,[],[f7661,f3520])). 252.23/32.08 fof(f7670,plain,( 252.23/32.08 ~spl3_49 | ~spl3_50 | ~spl3_48), 252.23/32.08 inference(avatar_split_clause,[],[f7657,f7652,f7667,f7663])). 252.23/32.08 fof(f7667,plain,( 252.23/32.08 spl3_50 <=> transitive_reflexive_rewrite(sK2(c,sK0(a,b)),b)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_50])])). 252.23/32.08 fof(f7657,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK2(c,sK0(a,b)),b) | ~rewrite(a,sK2(c,sK0(a,b))) | ~spl3_48), 252.23/32.08 inference(resolution,[],[f7653,f43])). 252.23/32.08 fof(f7654,plain,( 252.23/32.08 spl3_47 | spl3_47 | spl3_48 | ~spl3_28), 252.23/32.08 inference(avatar_split_clause,[],[f7646,f2286,f7652,f7649,f7649])). 252.23/32.08 fof(f7646,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,sK2(c,sK0(a,b))) | ~transitive_reflexive_rewrite(X0,b) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(X1,c) | ~rewrite(a,X2) | ~transitive_reflexive_rewrite(X2,sK0(a,b)) | ~transitive_reflexive_rewrite(X2,c)) ) | ~spl3_28), 252.23/32.08 inference(resolution,[],[f2295,f41])). 252.23/32.08 fof(f2295,plain,( 252.23/32.08 ( ! [X14,X15,X13] : (~transitive_reflexive_rewrite(c,sK2(X14,sK0(a,b))) | ~rewrite(a,X13) | ~transitive_reflexive_rewrite(X13,sK2(X14,sK0(a,b))) | ~transitive_reflexive_rewrite(X13,b) | ~rewrite(a,X15) | ~transitive_reflexive_rewrite(X15,sK0(a,b)) | ~transitive_reflexive_rewrite(X15,X14)) ) | ~spl3_28), 252.23/32.08 inference(resolution,[],[f2287,f40])). 252.23/32.08 fof(f6235,plain,( 252.23/32.08 spl3_46 | spl3_43 | ~spl3_33 | ~spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f6234,f3493,f3489,f3936,f6231])). 252.23/32.08 fof(f6231,plain,( 252.23/32.08 spl3_46 <=> ! [X4,X3,X2,X1] : (~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(b,X3) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X4,X1) | ~transitive_reflexive_rewrite(X2,X3))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_46])])). 252.23/32.08 fof(f6234,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~rewrite(a,X5) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X5,b) | ~transitive_reflexive_rewrite(X7,X8) | ~transitive_reflexive_rewrite(c,X9) | ~transitive_reflexive_rewrite(b,X8) | ~transitive_reflexive_rewrite(X9,X6)) ) | (~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f6220,f42])). 252.23/32.08 fof(f6220,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~rewrite(a,X5) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(X5,b) | ~transitive_reflexive_rewrite(X7,X8) | ~transitive_reflexive_rewrite(c,X9) | ~transitive_reflexive_rewrite(X5,X8) | ~transitive_reflexive_rewrite(b,X8) | ~transitive_reflexive_rewrite(X9,X6)) ) | (~spl3_33 | ~spl3_34)), 252.23/32.08 inference(resolution,[],[f6211,f3494])). 252.23/32.08 fof(f6211,plain,( 252.23/32.08 ( ! [X16,X14,X17,X15,X12,X13] : (~transitive_reflexive_rewrite(sK0(a,b),X17) | ~rewrite(a,X14) | ~transitive_reflexive_rewrite(X13,X15) | ~transitive_reflexive_rewrite(X14,b) | ~transitive_reflexive_rewrite(X15,X16) | ~transitive_reflexive_rewrite(c,X12) | ~transitive_reflexive_rewrite(X14,X16) | ~transitive_reflexive_rewrite(X17,X16) | ~transitive_reflexive_rewrite(X12,X13)) ) | (~spl3_33 | ~spl3_34)), 252.23/32.08 inference(resolution,[],[f6206,f42])). 252.23/32.08 fof(f6206,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(sK0(a,b),X1) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X4,X1) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X0,X1)) ) | (~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f6204,f3494])). 252.23/32.08 fof(f6204,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X2,X3) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X4,X1) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(sK0(a,b),b) | ~transitive_reflexive_rewrite(sK0(a,b),X1)) ) | ~spl3_33), 252.23/32.08 inference(resolution,[],[f2175,f3490])). 252.23/32.08 fof(f2175,plain,( 252.23/32.08 ( ! [X10,X11,X8,X6,X9,X7] : (~rewrite(a,X11) | ~transitive_reflexive_rewrite(X7,X8) | ~transitive_reflexive_rewrite(X6,X9) | ~rewrite(a,X7) | ~transitive_reflexive_rewrite(X9,X10) | ~transitive_reflexive_rewrite(X7,b) | ~transitive_reflexive_rewrite(X10,X8) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(X11,b) | ~transitive_reflexive_rewrite(X11,X8)) )), 252.23/32.08 inference(resolution,[],[f1034,f41])). 252.23/32.08 fof(f6233,plain,( 252.23/32.08 spl3_7 | spl3_46 | spl3_43 | ~spl3_2 | ~spl3_33 | ~spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f6229,f3493,f3489,f50,f3936,f6231,f238])). 252.23/32.08 fof(f6229,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(b,X3) | ~transitive_reflexive_rewrite(X4,X1) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f6228,f42])). 252.23/32.08 fof(f6228,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X0,X3) | ~transitive_reflexive_rewrite(b,X3) | ~transitive_reflexive_rewrite(X4,X1) | a = b) ) | (~spl3_2 | ~spl3_33 | ~spl3_34)), 252.23/32.08 inference(subsumption_resolution,[],[f6219,f52])). 252.23/32.08 fof(f6219,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1,X4] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X2,X3) | ~transitive_reflexive_rewrite(c,X4) | ~transitive_reflexive_rewrite(X0,X3) | ~transitive_reflexive_rewrite(b,X3) | ~transitive_reflexive_rewrite(X4,X1) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | (~spl3_33 | ~spl3_34)), 252.23/32.08 inference(resolution,[],[f6211,f37])). 252.23/32.08 fof(f4860,plain,( 252.23/32.08 spl3_45 | spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f4856,f1685,f4858])). 252.23/32.08 fof(f4858,plain,( 252.23/32.08 spl3_45 <=> ! [X2,X1] : (~transitive_reflexive_rewrite(c,X1) | ~rewrite(b,X2) | ~transitive_reflexive_rewrite(X1,X2))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_45])])). 252.23/32.08 fof(f4856,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(c,X1) | b = X0 | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(b,X2)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f4855])). 252.23/32.08 fof(f4855,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(b,X0) | ~transitive_reflexive_rewrite(c,X1) | b = X0 | ~transitive_reflexive_rewrite(X1,X2) | ~rewrite(b,X2) | ~rewrite(b,X2) | b = X0 | ~transitive_reflexive_rewrite(b,X0)) )), 252.23/32.08 inference(resolution,[],[f4852,f36])). 252.23/32.08 fof(f4852,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~rewrite(X0,sK0(b,X2)) | ~transitive_reflexive_rewrite(b,X2) | ~transitive_reflexive_rewrite(c,X3) | b = X2 | ~transitive_reflexive_rewrite(X3,X1) | ~rewrite(X0,X1) | ~rewrite(b,X1)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f4851])). 252.23/32.08 fof(f4851,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~rewrite(X0,X1) | ~transitive_reflexive_rewrite(b,X2) | ~transitive_reflexive_rewrite(c,X3) | b = X2 | ~transitive_reflexive_rewrite(X3,X1) | ~rewrite(X0,sK0(b,X2)) | ~rewrite(b,X1) | b = X2 | ~transitive_reflexive_rewrite(b,X2)) )), 252.23/32.08 inference(resolution,[],[f2899,f36])). 252.23/32.08 fof(f2899,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~rewrite(X9,sK0(b,X6)) | ~rewrite(X5,X7) | ~transitive_reflexive_rewrite(b,X6) | ~transitive_reflexive_rewrite(c,X8) | b = X6 | ~transitive_reflexive_rewrite(X8,X7) | ~rewrite(X5,sK0(b,X6)) | ~rewrite(X9,X7)) )), 252.23/32.08 inference(resolution,[],[f1344,f39])). 252.23/32.08 fof(f4341,plain,( 252.23/32.08 spl3_44 | spl3_43 | ~spl3_34 | ~spl3_39), 252.23/32.08 inference(avatar_split_clause,[],[f4340,f3531,f3493,f3936,f4337])). 252.23/32.08 fof(f4337,plain,( 252.23/32.08 spl3_44 <=> ! [X2,X1,X3] : (~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(b,X2) | ~transitive_reflexive_rewrite(X3,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_44])])). 252.23/32.08 fof(f3531,plain,( 252.23/32.08 spl3_39 <=> ! [X5,X4,X6,X3] : (~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(sK0(a,b),X5) | ~transitive_reflexive_rewrite(X4,b) | ~transitive_reflexive_rewrite(X6,X5) | ~transitive_reflexive_rewrite(X3,X6) | ~transitive_reflexive_rewrite(X4,X5) | ~rewrite(a,X4))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_39])])). 252.23/32.08 fof(f4340,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X4,b) | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(X7,X5) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(b,X6) | ~transitive_reflexive_rewrite(c,X7)) ) | (~spl3_34 | ~spl3_39)), 252.23/32.08 inference(subsumption_resolution,[],[f4326,f42])). 252.23/32.08 fof(f4326,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(X4,b) | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(X7,X5) | ~transitive_reflexive_rewrite(X4,X6) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(b,X6) | ~transitive_reflexive_rewrite(c,X7)) ) | (~spl3_34 | ~spl3_39)), 252.23/32.08 inference(resolution,[],[f3910,f3494])). 252.23/32.08 fof(f3910,plain,( 252.23/32.08 ( ! [X10,X11,X9,X12,X13] : (~transitive_reflexive_rewrite(sK0(a,b),X13) | ~transitive_reflexive_rewrite(X10,b) | ~transitive_reflexive_rewrite(X11,X12) | ~transitive_reflexive_rewrite(X9,X11) | ~transitive_reflexive_rewrite(X10,X12) | ~rewrite(a,X10) | ~transitive_reflexive_rewrite(X13,X12) | ~transitive_reflexive_rewrite(c,X9)) ) | ~spl3_39), 252.23/32.08 inference(resolution,[],[f3532,f42])). 252.23/32.08 fof(f3532,plain,( 252.23/32.08 ( ! [X3,X6,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,b),X5) | ~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X4,b) | ~transitive_reflexive_rewrite(X6,X5) | ~transitive_reflexive_rewrite(X3,X6) | ~transitive_reflexive_rewrite(X4,X5) | ~rewrite(a,X4)) ) | ~spl3_39), 252.23/32.08 inference(avatar_component_clause,[],[f3531])). 252.23/32.08 fof(f4339,plain,( 252.23/32.08 spl3_7 | spl3_44 | spl3_43 | ~spl3_2 | ~spl3_39), 252.23/32.08 inference(avatar_split_clause,[],[f4335,f3531,f50,f3936,f4337,f238])). 252.23/32.08 fof(f4335,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X3,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(b,X2) | ~transitive_reflexive_rewrite(c,X3) | a = b) ) | (~spl3_2 | ~spl3_39)), 252.23/32.08 inference(subsumption_resolution,[],[f4334,f42])). 252.23/32.08 fof(f4334,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(b,X2) | ~transitive_reflexive_rewrite(c,X3) | a = b) ) | (~spl3_2 | ~spl3_39)), 252.23/32.08 inference(subsumption_resolution,[],[f4325,f52])). 252.23/32.08 fof(f4325,plain,( 252.23/32.08 ( ! [X2,X3,X0,X1] : (~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X3,X1) | ~transitive_reflexive_rewrite(X0,X2) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(b,X2) | ~transitive_reflexive_rewrite(c,X3) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_39), 252.23/32.08 inference(resolution,[],[f3910,f37])). 252.23/32.08 fof(f3949,plain,( 252.23/32.08 ~spl3_33 | ~spl3_34 | ~spl3_43), 252.23/32.08 inference(avatar_contradiction_clause,[],[f3948])). 252.23/32.08 fof(f3948,plain,( 252.23/32.08 $false | (~spl3_33 | ~spl3_34 | ~spl3_43)), 252.23/32.08 inference(subsumption_resolution,[],[f3946,f3494])). 252.23/32.08 fof(f3946,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,b),b) | (~spl3_33 | ~spl3_43)), 252.23/32.08 inference(resolution,[],[f3937,f3490])). 252.23/32.08 fof(f3937,plain,( 252.23/32.08 ( ! [X0] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b)) ) | ~spl3_43), 252.23/32.08 inference(avatar_component_clause,[],[f3936])). 252.23/32.08 fof(f3940,plain,( 252.23/32.08 spl3_42 | spl3_43 | ~spl3_34 | ~spl3_38), 252.23/32.08 inference(avatar_split_clause,[],[f3939,f3527,f3493,f3936,f3933])). 252.23/32.08 fof(f3933,plain,( 252.23/32.08 spl3_42 <=> ! [X2,X1] : (~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(X2,X1))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_42])])). 252.23/32.08 fof(f3527,plain,( 252.23/32.08 spl3_38 <=> ! [X9,X7,X8] : (~transitive_reflexive_rewrite(X7,b) | ~transitive_reflexive_rewrite(sK0(a,b),X9) | ~rewrite(a,X7) | ~transitive_reflexive_rewrite(X7,X9) | ~transitive_reflexive_rewrite(c,X8) | ~transitive_reflexive_rewrite(X8,X9))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_38])])). 252.23/32.08 fof(f3939,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~rewrite(a,X3) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X5,X4) | ~transitive_reflexive_rewrite(b,X4) | ~transitive_reflexive_rewrite(X3,b)) ) | (~spl3_34 | ~spl3_38)), 252.23/32.08 inference(subsumption_resolution,[],[f3922,f42])). 252.23/32.08 fof(f3922,plain,( 252.23/32.08 ( ! [X3,X4,X5] : (~rewrite(a,X3) | ~transitive_reflexive_rewrite(X3,X4) | ~transitive_reflexive_rewrite(c,X5) | ~transitive_reflexive_rewrite(X5,X4) | ~transitive_reflexive_rewrite(b,X4) | ~transitive_reflexive_rewrite(X3,b)) ) | (~spl3_34 | ~spl3_38)), 252.23/32.08 inference(resolution,[],[f3802,f3494])). 252.23/32.08 fof(f3802,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7] : (~transitive_reflexive_rewrite(sK0(a,b),X9) | ~rewrite(a,X6) | ~transitive_reflexive_rewrite(X6,X7) | ~transitive_reflexive_rewrite(c,X8) | ~transitive_reflexive_rewrite(X8,X7) | ~transitive_reflexive_rewrite(X9,X7) | ~transitive_reflexive_rewrite(X6,b)) ) | ~spl3_38), 252.23/32.08 inference(resolution,[],[f3528,f42])). 252.23/32.08 fof(f3528,plain,( 252.23/32.08 ( ! [X8,X9,X7] : (~transitive_reflexive_rewrite(sK0(a,b),X9) | ~transitive_reflexive_rewrite(X7,b) | ~rewrite(a,X7) | ~transitive_reflexive_rewrite(X7,X9) | ~transitive_reflexive_rewrite(c,X8) | ~transitive_reflexive_rewrite(X8,X9)) ) | ~spl3_38), 252.23/32.08 inference(avatar_component_clause,[],[f3527])). 252.23/32.08 fof(f3938,plain,( 252.23/32.08 spl3_7 | spl3_42 | spl3_43 | ~spl3_2 | ~spl3_38), 252.23/32.08 inference(avatar_split_clause,[],[f3931,f3527,f50,f3936,f3933,f238])). 252.23/32.08 fof(f3931,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(X0,b) | a = b) ) | (~spl3_2 | ~spl3_38)), 252.23/32.08 inference(subsumption_resolution,[],[f3930,f42])). 252.23/32.08 fof(f3930,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(X0,b) | a = b) ) | (~spl3_2 | ~spl3_38)), 252.23/32.08 inference(subsumption_resolution,[],[f3921,f52])). 252.23/32.08 fof(f3921,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(c,X2) | ~transitive_reflexive_rewrite(X2,X1) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(X0,b) | a = b | ~transitive_reflexive_rewrite(a,b)) ) | ~spl3_38), 252.23/32.08 inference(resolution,[],[f3802,f37])). 252.23/32.08 fof(f3633,plain,( 252.23/32.08 ~spl3_41 | ~spl3_31 | ~spl3_33), 252.23/32.08 inference(avatar_split_clause,[],[f3626,f3489,f3477,f3629])). 252.23/32.08 fof(f3629,plain,( 252.23/32.08 spl3_41 <=> rewrite(a,c)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_41])])). 252.23/32.08 fof(f3477,plain,( 252.23/32.08 spl3_31 <=> ! [X2] : (~rewrite(X2,sK0(a,b)) | ~rewrite(X2,c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_31])])). 252.23/32.08 fof(f3626,plain,( 252.23/32.08 ~rewrite(a,c) | (~spl3_31 | ~spl3_33)), 252.23/32.08 inference(resolution,[],[f3478,f3490])). 252.23/32.08 fof(f3478,plain,( 252.23/32.08 ( ! [X2] : (~rewrite(X2,sK0(a,b)) | ~rewrite(X2,c)) ) | ~spl3_31), 252.23/32.08 inference(avatar_component_clause,[],[f3477])). 252.23/32.08 fof(f3632,plain,( 252.23/32.08 spl3_7 | ~spl3_41 | ~spl3_2 | ~spl3_31), 252.23/32.08 inference(avatar_split_clause,[],[f3627,f3477,f50,f3629,f238])). 252.23/32.08 fof(f3627,plain,( 252.23/32.08 ~rewrite(a,c) | a = b | (~spl3_2 | ~spl3_31)), 252.23/32.08 inference(subsumption_resolution,[],[f3625,f52])). 252.23/32.08 fof(f3625,plain,( 252.23/32.08 ~rewrite(a,c) | a = b | ~transitive_reflexive_rewrite(a,b) | ~spl3_31), 252.23/32.08 inference(resolution,[],[f3478,f36])). 252.23/32.08 fof(f3615,plain,( 252.23/32.08 ~spl3_40 | spl3_29 | ~spl3_37), 252.23/32.08 inference(avatar_split_clause,[],[f3604,f3518,f2299,f3612])). 252.23/32.08 fof(f3612,plain,( 252.23/32.08 spl3_40 <=> transitive_reflexive_rewrite(c,a)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_40])])). 252.23/32.08 fof(f3604,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(c,a) | (spl3_29 | ~spl3_37)), 252.23/32.08 inference(resolution,[],[f3520,f2306])). 252.23/32.08 fof(f3533,plain,( 252.23/32.08 ~spl3_34 | spl3_39 | ~spl3_33), 252.23/32.08 inference(avatar_split_clause,[],[f3510,f3489,f3531,f3493])). 252.23/32.08 fof(f3510,plain,( 252.23/32.08 ( ! [X3,X6,X4,X5] : (~transitive_reflexive_rewrite(c,X3) | ~transitive_reflexive_rewrite(X4,X5) | ~transitive_reflexive_rewrite(X3,X6) | ~rewrite(a,X4) | ~transitive_reflexive_rewrite(X6,X5) | ~transitive_reflexive_rewrite(X4,b) | ~transitive_reflexive_rewrite(sK0(a,b),b) | ~transitive_reflexive_rewrite(sK0(a,b),X5)) ) | ~spl3_33), 252.23/32.08 inference(resolution,[],[f3490,f1032])). 252.23/32.08 fof(f1032,plain,( 252.23/32.08 ( ! [X8,X6,X9,X7,X5] : (~rewrite(a,X9) | ~transitive_reflexive_rewrite(c,X6) | ~transitive_reflexive_rewrite(X5,X7) | ~transitive_reflexive_rewrite(X6,X8) | ~rewrite(a,X5) | ~transitive_reflexive_rewrite(X8,X7) | ~transitive_reflexive_rewrite(X5,b) | ~transitive_reflexive_rewrite(X9,b) | ~transitive_reflexive_rewrite(X9,X7)) )), 252.23/32.08 inference(resolution,[],[f471,f41])). 252.23/32.08 fof(f3529,plain,( 252.23/32.08 ~spl3_34 | spl3_38 | ~spl3_33), 252.23/32.08 inference(avatar_split_clause,[],[f3511,f3489,f3527,f3493])). 252.23/32.08 fof(f3511,plain,( 252.23/32.08 ( ! [X8,X9,X7] : (~transitive_reflexive_rewrite(X7,b) | ~transitive_reflexive_rewrite(c,X8) | ~transitive_reflexive_rewrite(X7,X9) | ~transitive_reflexive_rewrite(X8,X9) | ~rewrite(a,X7) | ~transitive_reflexive_rewrite(sK0(a,b),b) | ~transitive_reflexive_rewrite(sK0(a,b),X9)) ) | ~spl3_33), 252.23/32.08 inference(resolution,[],[f3490,f469])). 252.23/32.08 fof(f3525,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_34), 252.23/32.08 inference(avatar_split_clause,[],[f3524,f3493,f50,f238])). 252.23/32.08 fof(f3521,plain,( 252.23/32.08 spl3_37 | ~spl3_33), 252.23/32.08 inference(avatar_split_clause,[],[f3514,f3489,f3518])). 252.23/32.08 fof(f3514,plain,( 252.23/32.08 transitive_reflexive_rewrite(a,sK0(a,b)) | ~spl3_33), 252.23/32.08 inference(resolution,[],[f3490,f35])). 252.23/32.08 fof(f3508,plain,( 252.23/32.08 spl3_7 | ~spl3_2 | spl3_33), 252.23/32.08 inference(avatar_split_clause,[],[f3507,f3489,f50,f238])). 252.23/32.08 fof(f3505,plain,( 252.23/32.08 ~spl3_35 | ~spl3_36 | ~spl3_32), 252.23/32.08 inference(avatar_split_clause,[],[f3485,f3480,f3502,f3498])). 252.23/32.08 fof(f3498,plain,( 252.23/32.08 spl3_35 <=> rewrite(a,sK1(sK0(a,b),c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_35])])). 252.23/32.08 fof(f3480,plain,( 252.23/32.08 spl3_32 <=> ! [X0] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X0,sK1(sK0(a,b),c)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_32])])). 252.23/32.08 fof(f3485,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK1(sK0(a,b),c),b) | ~rewrite(a,sK1(sK0(a,b),c)) | ~spl3_32), 252.23/32.08 inference(resolution,[],[f3481,f43])). 252.23/32.08 fof(f3481,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(X0,sK1(sK0(a,b),c)) | ~transitive_reflexive_rewrite(X0,b) | ~rewrite(a,X0)) ) | ~spl3_32), 252.23/32.08 inference(avatar_component_clause,[],[f3480])). 252.23/32.08 fof(f3496,plain,( 252.23/32.08 spl3_31 | ~spl3_33 | ~spl3_34 | ~spl3_32), 252.23/32.08 inference(avatar_split_clause,[],[f3483,f3480,f3493,f3489,f3477])). 252.23/32.08 fof(f3483,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(sK0(a,b),b) | ~rewrite(a,sK0(a,b)) | ~rewrite(X0,sK0(a,b)) | ~rewrite(X0,c)) ) | ~spl3_32), 252.23/32.08 inference(resolution,[],[f3481,f38])). 252.23/32.08 fof(f3482,plain,( 252.23/32.08 spl3_31 | spl3_31 | spl3_32 | ~spl3_28), 252.23/32.08 inference(avatar_split_clause,[],[f3474,f2286,f3480,f3477,f3477])). 252.23/32.08 fof(f3474,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,sK1(sK0(a,b),c)) | ~transitive_reflexive_rewrite(X0,b) | ~rewrite(X1,sK0(a,b)) | ~rewrite(X1,c) | ~rewrite(X2,sK0(a,b)) | ~rewrite(X2,c)) ) | ~spl3_28), 252.23/32.08 inference(resolution,[],[f2293,f39])). 252.23/32.08 fof(f2305,plain,( 252.23/32.08 ~spl3_29 | spl3_30 | ~spl3_28), 252.23/32.08 inference(avatar_split_clause,[],[f2290,f2286,f2303,f2299])). 252.23/32.08 fof(f2290,plain,( 252.23/32.08 ( ! [X1] : (~transitive_reflexive_rewrite(X1,b) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,sK0(a,b)) | ~transitive_reflexive_rewrite(c,sK0(a,b))) ) | ~spl3_28), 252.23/32.08 inference(resolution,[],[f2287,f43])). 252.23/32.08 fof(f2288,plain,( 252.23/32.08 spl3_7 | spl3_28 | ~spl3_2), 252.23/32.08 inference(avatar_split_clause,[],[f2284,f50,f2286,f238])). 252.23/32.08 fof(f2284,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(sK0(a,b),X1) | a = b) ) | ~spl3_2), 252.23/32.08 inference(subsumption_resolution,[],[f2283,f52])). 252.23/32.08 fof(f2283,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(sK0(a,b),X1) | a = b | ~transitive_reflexive_rewrite(a,b)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f2281])). 252.23/32.08 fof(f2281,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(c,X1) | ~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0) | ~transitive_reflexive_rewrite(sK0(a,b),X1) | a = b | ~transitive_reflexive_rewrite(a,b) | a = b | ~transitive_reflexive_rewrite(a,b)) )), 252.23/32.08 inference(resolution,[],[f621,f37])). 252.23/32.08 fof(f1979,plain,( 252.23/32.08 spl3_27 | spl3_24 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f1835,f1685,f62,f1960,f1977])). 252.23/32.08 fof(f1835,plain,( 252.23/32.08 ( ! [X544,X541,X543,X540,X542] : (~transitive_reflexive_rewrite(b,X541) | ~transitive_reflexive_rewrite(X541,b) | ~rewrite(X542,c) | ~rewrite(X542,X540) | ~rewrite(X543,b) | ~rewrite(X543,sK1(c,X540)) | ~rewrite(X544,b) | ~rewrite(X544,sK1(c,X540))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f410,f1694])). 252.23/32.08 fof(f1694,plain,( 252.23/32.08 ( ! [X3,X4] : (b = sK1(b,X3) | ~rewrite(X4,b) | ~rewrite(X4,X3)) ) | ~spl3_15), 252.23/32.08 inference(resolution,[],[f1686,f38])). 252.23/32.08 fof(f1974,plain,( 252.23/32.08 spl3_26 | spl3_24 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f1833,f1685,f62,f1960,f1972])). 252.23/32.08 fof(f1833,plain,( 252.23/32.08 ( ! [X535,X532,X531,X534,X533] : (~transitive_reflexive_rewrite(b,X532) | ~transitive_reflexive_rewrite(X532,b) | ~rewrite(X533,X531) | ~rewrite(X533,c) | ~rewrite(X534,b) | ~rewrite(X534,sK1(X531,c)) | ~rewrite(X535,b) | ~rewrite(X535,sK1(X531,c))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f424,f1694])). 252.23/32.08 fof(f1969,plain,( 252.23/32.08 spl3_25 | spl3_24 | spl3_4 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f1821,f1685,f62,f1960,f1967])). 252.23/32.08 fof(f1821,plain,( 252.23/32.08 ( ! [X481,X479,X478,X480] : (~transitive_reflexive_rewrite(b,X479) | ~transitive_reflexive_rewrite(X479,b) | ~transitive_reflexive_rewrite(c,X478) | c = X478 | ~rewrite(X480,b) | ~rewrite(X480,sK0(c,X478)) | ~rewrite(X481,b) | ~rewrite(X481,sK0(c,X478))) ) | (spl3_4 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f402,f1694])). 252.23/32.08 fof(f1964,plain,( 252.23/32.08 spl3_21 | spl3_21 | ~spl3_10 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f1963,f1685,f531,f1949,f1949])). 252.23/32.08 fof(f1963,plain,( 252.23/32.08 ( ! [X455,X456] : (~rewrite(X455,b) | ~rewrite(X455,sK0(a,c)) | ~rewrite(X456,b) | ~rewrite(X456,sK0(a,c))) ) | (~spl3_10 | ~spl3_15)), 252.23/32.08 inference(subsumption_resolution,[],[f1814,f43])). 252.23/32.08 fof(f1814,plain,( 252.23/32.08 ( ! [X455,X456] : (~transitive_reflexive_rewrite(b,b) | ~rewrite(X455,b) | ~rewrite(X455,sK0(a,c)) | ~rewrite(X456,b) | ~rewrite(X456,sK0(a,c))) ) | (~spl3_10 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f545,f1694])). 252.23/32.08 fof(f545,plain,( 252.23/32.08 ( ! [X6,X5] : (~transitive_reflexive_rewrite(sK1(X5,sK0(a,c)),b) | ~rewrite(X6,X5) | ~rewrite(X6,sK0(a,c))) ) | ~spl3_10), 252.23/32.08 inference(resolution,[],[f532,f39])). 252.23/32.08 fof(f1962,plain,( 252.23/32.08 spl3_21 | spl3_21 | spl3_24 | ~spl3_10 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f1813,f1685,f531,f1960,f1949,f1949])). 252.23/32.08 fof(f1813,plain,( 252.23/32.08 ( ! [X454,X453,X452] : (~transitive_reflexive_rewrite(b,X452) | ~transitive_reflexive_rewrite(X452,b) | ~rewrite(X453,b) | ~rewrite(X453,sK0(a,c)) | ~rewrite(X454,b) | ~rewrite(X454,sK0(a,c))) ) | (~spl3_10 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f559,f1694])). 252.23/32.08 fof(f559,plain,( 252.23/32.08 ( ! [X10,X11,X12] : (~transitive_reflexive_rewrite(sK1(X10,sK0(a,c)),X11) | ~transitive_reflexive_rewrite(X11,b) | ~rewrite(X12,X10) | ~rewrite(X12,sK0(a,c))) ) | ~spl3_10), 252.23/32.08 inference(resolution,[],[f542,f39])). 252.23/32.08 fof(f1958,plain,( 252.23/32.08 spl3_21 | spl3_21 | spl3_23 | ~spl3_10 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f1812,f1685,f531,f1956,f1949,f1949])). 252.23/32.08 fof(f1812,plain,( 252.23/32.08 ( ! [X448,X451,X450,X449] : (~transitive_reflexive_rewrite(b,X448) | ~transitive_reflexive_rewrite(X449,b) | ~transitive_reflexive_rewrite(X448,X449) | ~rewrite(X450,b) | ~rewrite(X450,sK0(a,c)) | ~rewrite(X451,b) | ~rewrite(X451,sK0(a,c))) ) | (~spl3_10 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f567,f1694])). 252.23/32.08 fof(f1954,plain,( 252.23/32.08 spl3_21 | spl3_21 | spl3_22 | ~spl3_10 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f1811,f1685,f531,f1952,f1949,f1949])). 252.23/32.08 fof(f1811,plain,( 252.23/32.08 ( ! [X443,X447,X446,X445,X444] : (~transitive_reflexive_rewrite(b,X443) | ~transitive_reflexive_rewrite(X444,X445) | ~transitive_reflexive_rewrite(X443,X444) | ~transitive_reflexive_rewrite(X445,b) | ~rewrite(X446,b) | ~rewrite(X446,sK0(a,c)) | ~rewrite(X447,b) | ~rewrite(X447,sK0(a,c))) ) | (~spl3_10 | ~spl3_15)), 252.23/32.08 inference(superposition,[],[f582,f1694])). 252.23/32.08 fof(f582,plain,( 252.23/32.08 ( ! [X21,X24,X22,X23,X20] : (~transitive_reflexive_rewrite(sK1(X23,sK0(a,c)),X20) | ~transitive_reflexive_rewrite(X21,X22) | ~transitive_reflexive_rewrite(X20,X21) | ~transitive_reflexive_rewrite(X22,b) | ~rewrite(X24,X23) | ~rewrite(X24,sK0(a,c))) ) | ~spl3_10), 252.23/32.08 inference(resolution,[],[f564,f39])). 252.23/32.08 fof(f564,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~transitive_reflexive_rewrite(sK0(a,c),X7) | ~transitive_reflexive_rewrite(X5,X6) | ~transitive_reflexive_rewrite(X6,X4) | ~transitive_reflexive_rewrite(X7,X5) | ~transitive_reflexive_rewrite(X4,b)) ) | ~spl3_10), 252.23/32.08 inference(resolution,[],[f556,f42])). 252.23/32.08 fof(f1947,plain,( 252.23/32.08 spl3_20 | spl3_19 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f1871,f1685,f1940,f1944])). 252.23/32.08 fof(f1940,plain,( 252.23/32.08 spl3_19 <=> ! [X134,X133] : (~transitive_reflexive_rewrite(X133,sK0(X134,b)) | ~transitive_reflexive_rewrite(X134,b) | b = X134 | ~transitive_reflexive_rewrite(c,X133))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_19])])). 252.23/32.08 fof(f1871,plain,( 252.23/32.08 ( ! [X377,X375,X374] : (~transitive_reflexive_rewrite(X374,sK0(X375,b)) | ~transitive_reflexive_rewrite(c,X374) | b = X375 | ~transitive_reflexive_rewrite(X375,b) | ~rewrite(X377,b)) ) | ~spl3_15), 252.23/32.08 inference(condensation,[],[f1870])). 252.23/32.08 fof(f1870,plain,( 252.23/32.08 ( ! [X377,X375,X374,X376] : (~transitive_reflexive_rewrite(X374,sK0(X375,b)) | ~transitive_reflexive_rewrite(c,X374) | ~rewrite(X376,b) | b = X375 | ~transitive_reflexive_rewrite(X375,b) | ~rewrite(X377,b)) ) | ~spl3_15), 252.23/32.08 inference(duplicate_literal_removal,[],[f1796])). 252.23/32.08 fof(f1796,plain,( 252.23/32.08 ( ! [X377,X375,X374,X376] : (~transitive_reflexive_rewrite(X374,sK0(X375,b)) | ~transitive_reflexive_rewrite(c,X374) | ~rewrite(X376,b) | ~rewrite(X376,b) | b = X375 | ~transitive_reflexive_rewrite(X375,b) | ~rewrite(X377,b) | ~rewrite(X377,b)) ) | ~spl3_15), 252.23/32.08 inference(superposition,[],[f370,f1694])). 252.23/32.08 fof(f1946,plain,( 252.23/32.08 spl3_20 | spl3_18 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f1909,f1685,f1936,f1944])). 252.23/32.08 fof(f1909,plain,( 252.23/32.08 ( ! [X306,X304] : (~transitive_reflexive_rewrite(c,sK0(X304,b)) | b = X304 | ~transitive_reflexive_rewrite(X304,b) | ~rewrite(X306,b)) ) | ~spl3_15), 252.23/32.08 inference(condensation,[],[f1908])). 252.23/32.08 fof(f1908,plain,( 252.23/32.08 ( ! [X306,X305,X304] : (~transitive_reflexive_rewrite(c,sK0(X304,b)) | ~rewrite(X305,b) | b = X304 | ~transitive_reflexive_rewrite(X304,b) | ~rewrite(X306,b)) ) | ~spl3_15), 252.23/32.08 inference(duplicate_literal_removal,[],[f1779])). 252.23/32.08 fof(f1779,plain,( 252.23/32.08 ( ! [X306,X305,X304] : (~transitive_reflexive_rewrite(c,sK0(X304,b)) | ~rewrite(X305,b) | ~rewrite(X305,b) | b = X304 | ~transitive_reflexive_rewrite(X304,b) | ~rewrite(X306,b) | ~rewrite(X306,b)) ) | ~spl3_15), 252.23/32.08 inference(superposition,[],[f164,f1694])). 252.23/32.08 fof(f1942,plain,( 252.23/32.08 spl3_17 | spl3_19 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f1739,f1685,f1940,f1933])). 252.23/32.08 fof(f1739,plain,( 252.23/32.08 ( ! [X132,X133,X136,X134,X135] : (~transitive_reflexive_rewrite(X133,sK0(X134,b)) | ~transitive_reflexive_rewrite(c,X133) | ~rewrite(X135,b) | ~rewrite(X135,X132) | b = X134 | ~transitive_reflexive_rewrite(X134,b) | ~rewrite(X136,b) | ~rewrite(X136,X132)) ) | ~spl3_15), 252.23/32.08 inference(superposition,[],[f365,f1694])). 252.23/32.08 fof(f1938,plain,( 252.23/32.08 spl3_17 | spl3_18 | ~spl3_15), 252.23/32.08 inference(avatar_split_clause,[],[f1722,f1685,f1936,f1933])). 252.23/32.08 fof(f1722,plain,( 252.23/32.08 ( ! [X48,X46,X47,X45] : (~transitive_reflexive_rewrite(c,sK0(X46,b)) | ~rewrite(X47,X45) | ~rewrite(X47,b) | b = X46 | ~transitive_reflexive_rewrite(X46,b) | ~rewrite(X48,b) | ~rewrite(X48,X45)) ) | ~spl3_15), 252.23/32.08 inference(superposition,[],[f159,f1694])). 252.23/32.08 fof(f159,plain,( 252.23/32.08 ( ! [X14,X12,X13] : (~transitive_reflexive_rewrite(c,sK0(X14,sK1(b,X13))) | ~rewrite(X12,X13) | ~rewrite(X12,b) | sK1(b,X13) = X14 | ~transitive_reflexive_rewrite(X14,sK1(b,X13))) )), 252.23/32.08 inference(resolution,[],[f92,f37])). 252.23/32.08 fof(f1690,plain,( 252.23/32.08 spl3_15 | spl3_16), 252.23/32.08 inference(avatar_split_clause,[],[f1683,f1688,f1685])). 252.23/32.08 fof(f1688,plain,( 252.23/32.08 spl3_16 <=> ! [X0] : (~rewrite(b,X0) | ~transitive_reflexive_rewrite(c,X0))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_16])])). 252.23/32.08 fof(f1683,plain,( 252.23/32.08 ( ! [X0,X1] : (~rewrite(b,X0) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(c,X0) | b = X1) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f1682])). 252.23/32.08 fof(f1682,plain,( 252.23/32.08 ( ! [X0,X1] : (~rewrite(b,X0) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(c,X0) | b = X1 | ~rewrite(b,X0) | b = X1 | ~transitive_reflexive_rewrite(b,X1)) )), 252.23/32.08 inference(resolution,[],[f1681,f36])). 252.23/32.08 fof(f1681,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(X0,sK0(b,X1)) | ~rewrite(X0,X2) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(c,X2) | b = X1 | ~rewrite(b,X2)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f1680])). 252.23/32.08 fof(f1680,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(X0,sK0(b,X1)) | ~rewrite(X0,X2) | ~transitive_reflexive_rewrite(b,X1) | ~transitive_reflexive_rewrite(c,X2) | b = X1 | ~rewrite(b,X2) | b = X1 | ~transitive_reflexive_rewrite(b,X1)) )), 252.23/32.08 inference(resolution,[],[f1342,f36])). 252.23/32.08 fof(f1342,plain,( 252.23/32.08 ( ! [X6,X7,X4,X5] : (~rewrite(X7,sK0(b,X4)) | ~rewrite(X5,sK0(b,X4)) | ~rewrite(X5,X6) | ~transitive_reflexive_rewrite(b,X4) | ~transitive_reflexive_rewrite(c,X6) | b = X4 | ~rewrite(X7,X6)) )), 252.23/32.08 inference(resolution,[],[f586,f39])). 252.23/32.08 fof(f880,plain,( 252.23/32.08 ~spl3_13 | spl3_14), 252.23/32.08 inference(avatar_split_clause,[],[f872,f878,f874])). 252.23/32.08 fof(f874,plain,( 252.23/32.08 spl3_13 <=> rewrite(b,c)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_13])])). 252.23/32.08 fof(f878,plain,( 252.23/32.08 spl3_14 <=> ! [X0,X1] : (b = X0 | ~transitive_reflexive_rewrite(b,X0) | ~rewrite(X1,c) | ~rewrite(X1,sK0(b,X0)))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_14])])). 252.23/32.08 fof(f872,plain,( 252.23/32.08 ( ! [X0,X1] : (b = X0 | ~rewrite(X1,sK0(b,X0)) | ~rewrite(X1,c) | ~transitive_reflexive_rewrite(b,X0) | ~rewrite(b,c)) )), 252.23/32.08 inference(duplicate_literal_removal,[],[f871])). 252.23/32.08 fof(f871,plain,( 252.23/32.08 ( ! [X0,X1] : (b = X0 | ~rewrite(X1,sK0(b,X0)) | ~rewrite(X1,c) | ~transitive_reflexive_rewrite(b,X0) | ~rewrite(b,c) | b = X0 | ~transitive_reflexive_rewrite(b,X0)) )), 252.23/32.08 inference(resolution,[],[f585,f36])). 252.23/32.08 fof(f585,plain,( 252.23/32.08 ( ! [X2,X0,X1] : (~rewrite(X2,sK0(b,X0)) | b = X0 | ~rewrite(X1,sK0(b,X0)) | ~rewrite(X1,c) | ~transitive_reflexive_rewrite(b,X0) | ~rewrite(X2,c)) )), 252.23/32.08 inference(resolution,[],[f150,f39])). 252.23/32.08 fof(f552,plain,( 252.23/32.08 ~spl3_12 | ~spl3_10), 252.23/32.08 inference(avatar_split_clause,[],[f541,f531,f549])). 252.23/32.08 fof(f549,plain,( 252.23/32.08 spl3_12 <=> transitive_reflexive_rewrite(sK0(a,c),b)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_12])])). 252.23/32.08 fof(f541,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,c),b) | ~spl3_10), 252.23/32.08 inference(resolution,[],[f532,f43])). 252.23/32.08 fof(f537,plain,( 252.23/32.08 spl3_10 | spl3_11 | ~spl3_3 | ~spl3_6), 252.23/32.08 inference(avatar_split_clause,[],[f529,f119,f55,f534,f531])). 252.23/32.08 fof(f529,plain,( 252.23/32.08 ( ! [X0] : (a = c | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(sK0(a,c),X0)) ) | (~spl3_3 | ~spl3_6)), 252.23/32.08 inference(subsumption_resolution,[],[f528,f57])). 252.23/32.08 fof(f528,plain,( 252.23/32.08 ( ! [X0] : (a = c | ~transitive_reflexive_rewrite(a,c) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(sK0(a,c),X0)) ) | ~spl3_6), 252.23/32.08 inference(duplicate_literal_removal,[],[f526])). 252.23/32.08 fof(f526,plain,( 252.23/32.08 ( ! [X0] : (a = c | ~transitive_reflexive_rewrite(a,c) | ~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(sK0(a,c),X0) | a = c | ~transitive_reflexive_rewrite(a,c)) ) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f234,f37])). 252.23/32.08 fof(f260,plain,( 252.23/32.08 spl3_7 | ~spl3_9 | ~spl3_2 | spl3_8), 252.23/32.08 inference(avatar_split_clause,[],[f255,f242,f50,f257,f238])). 252.23/32.08 fof(f257,plain,( 252.23/32.08 spl3_9 <=> transitive_reflexive_rewrite(b,c)), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_9])])). 252.23/32.08 fof(f255,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(b,c) | a = b | (~spl3_2 | spl3_8)), 252.23/32.08 inference(subsumption_resolution,[],[f247,f52])). 252.23/32.08 fof(f247,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(b,c) | a = b | ~transitive_reflexive_rewrite(a,b) | spl3_8), 252.23/32.08 inference(resolution,[],[f246,f37])). 252.23/32.08 fof(f246,plain,( 252.23/32.08 ( ! [X0] : (~transitive_reflexive_rewrite(sK0(a,b),X0) | ~transitive_reflexive_rewrite(X0,c)) ) | spl3_8), 252.23/32.08 inference(resolution,[],[f244,f42])). 252.23/32.08 fof(f245,plain,( 252.23/32.08 spl3_7 | ~spl3_8 | ~spl3_2 | ~spl3_6), 252.23/32.08 inference(avatar_split_clause,[],[f236,f119,f50,f242,f238])). 252.23/32.08 fof(f236,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,b),c) | a = b | (~spl3_2 | ~spl3_6)), 252.23/32.08 inference(subsumption_resolution,[],[f235,f52])). 252.23/32.08 fof(f235,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,b),c) | a = b | ~transitive_reflexive_rewrite(a,b) | ~spl3_6), 252.23/32.08 inference(duplicate_literal_removal,[],[f233])). 252.23/32.08 fof(f233,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(sK0(a,b),c) | a = b | ~transitive_reflexive_rewrite(a,b) | a = b | ~transitive_reflexive_rewrite(a,b) | ~spl3_6), 252.23/32.08 inference(resolution,[],[f122,f37])). 252.23/32.08 fof(f121,plain,( 252.23/32.08 spl3_6 | spl3_6), 252.23/32.08 inference(avatar_split_clause,[],[f116,f119,f119])). 252.23/32.08 fof(f116,plain,( 252.23/32.08 ( ! [X0,X1] : (~transitive_reflexive_rewrite(X0,b) | ~transitive_reflexive_rewrite(X0,c) | ~rewrite(a,X0) | ~rewrite(a,X1) | ~transitive_reflexive_rewrite(X1,b) | ~transitive_reflexive_rewrite(X1,c)) )), 252.23/32.08 inference(resolution,[],[f88,f41])). 252.23/32.08 fof(f96,plain,( 252.23/32.08 spl3_5 | spl3_5), 252.23/32.08 inference(avatar_split_clause,[],[f91,f94,f94])). 252.23/32.08 fof(f94,plain,( 252.23/32.08 spl3_5 <=> ! [X1] : (~rewrite(X1,b) | ~rewrite(X1,c))), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_5])])). 252.23/32.08 fof(f91,plain,( 252.23/32.08 ( ! [X0,X1] : (~rewrite(X0,c) | ~rewrite(X0,b) | ~rewrite(X1,b) | ~rewrite(X1,c)) )), 252.23/32.08 inference(resolution,[],[f76,f39])). 252.23/32.08 fof(f65,plain,( 252.23/32.08 ~spl3_4), 252.23/32.08 inference(avatar_split_clause,[],[f60,f62])). 252.23/32.08 fof(f60,plain,( 252.23/32.08 ~transitive_reflexive_rewrite(c,b)), 252.23/32.08 inference(resolution,[],[f59,f43])). 252.23/32.08 fof(f58,plain,( 252.23/32.08 spl3_3), 252.23/32.08 inference(avatar_split_clause,[],[f31,f55])). 252.23/32.08 fof(f31,plain,( 252.23/32.08 transitive_reflexive_rewrite(a,c)), 252.23/32.08 inference(cnf_transformation,[],[f5])). 252.23/32.08 fof(f5,axiom,( 252.23/32.08 transitive_reflexive_rewrite(a,b) & transitive_reflexive_rewrite(a,c)), 252.23/32.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption)). 252.23/32.08 fof(f53,plain,( 252.23/32.08 spl3_2), 252.23/32.08 inference(avatar_split_clause,[],[f32,f50])). 252.23/32.08 fof(f32,plain,( 252.23/32.08 transitive_reflexive_rewrite(a,b)), 252.23/32.08 inference(cnf_transformation,[],[f5])). 252.23/32.08 fof(f48,plain,( 252.23/32.08 ~spl3_1), 252.23/32.08 inference(avatar_split_clause,[],[f30,f45])). 252.23/32.08 fof(f45,plain,( 252.23/32.08 spl3_1 <=> goal), 252.23/32.08 introduced(avatar_definition,[new_symbols(naming,[spl3_1])])). 252.23/32.08 % SZS output end Proof for theBenchmark 252.23/32.08 % (31294)------------------------------ 252.23/32.08 % (31294)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 252.23/32.08 % (31294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 252.23/32.08 % (31294)Termination reason: Refutation 252.23/32.08 252.23/32.08 % (31294)Memory used [KB]: 53986 252.23/32.08 % (31294)Time elapsed: 11.479 s 252.23/32.08 % (31294)------------------------------ 252.23/32.08 % (31294)------------------------------ 252.23/32.08 % (30916)Success in time 31.74 s 252.23/32.10 EOF