0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.10/0.32 % Computer : n019.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Tue Aug 9 05:58:06 EDT 2022 0.10/0.32 % CPUTime : 0.10/0.33 This is a FOF_ problem 0.10/0.33 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox/benchmark/theBenchmark.p 0.10/0.33 % (5973)Running in auto input_syntax mode. Trying TPTP 0.17/0.39 WARNING Broken Constraint: if sat_solver(z3) has been set then avatar(off) is equal to on 0.17/0.39 % (5978)lrs+1011_3:1_add=off:afr=on:afp=10000:afq=1.1:amm=off:bce=on:cond=on:ep=R:fsr=off:nm=16:nwc=1:stl=30:sos=all:sp=reverse_arity:updr=off_2 on theBenchmark 0.17/0.39 % (5976)ott+1010_5:4_av=off:bd=off:fde=none:irw=on:lma=on:nm=32:nwc=2.5:sd=2:ss=axioms:st=3.0:urr=on_5 on theBenchmark 0.17/0.39 % (5979)dis+1011_10_aac=none:add=large:afp=10000:afq=1.1:amm=off:anc=none:fsr=off:gs=on:gsem=off:irw=on:nm=6:newcnf=on:nwc=2.5:sp=reverse_arity:updr=off_2 on theBenchmark 0.17/0.39 % (5977)lrs+4_2_av=off:gs=on:gsem=on:lma=on:nm=16:nwc=1:sas=z3:stl=30:sos=on:urr=on_3 on theBenchmark 0.17/0.39 % (5975)dis+1010_10_afr=on:afp=100000:afq=2.0:amm=sco:anc=none:ep=RS:fde=unused:gs=on:nwc=1:sos=on:sac=on:sp=occurrence_2 on theBenchmark 0.17/0.39 % (5976)Refutation not found, incomplete strategy% (5976)------------------------------ 0.17/0.39 % (5976)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.17/0.39 % (5976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.17/0.39 % (5976)Termination reason: Refutation not found, incomplete strategy 0.17/0.39 0.17/0.39 % (5976)Memory used [KB]: 2046 0.17/0.39 % (5976)Time elapsed: 0.002 s 0.17/0.39 % (5976)------------------------------ 0.17/0.39 % (5976)------------------------------ 0.17/0.39 % (5981)lrs+1_2:3_aac=none:afr=on:afp=100000:afq=1.0:amm=sco:bd=off:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=on:sac=on:sp=occurrence:urr=ec_only:updr=off:uhcvi=on_16 on theBenchmark 0.17/0.39 % (5977)Refutation not found, incomplete strategy% (5977)------------------------------ 0.17/0.39 % (5977)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.17/0.39 % (5977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.17/0.39 % (5977)Termination reason: Refutation not found, incomplete strategy 0.17/0.39 0.17/0.39 % (5977)Memory used [KB]: 6524 0.17/0.39 % (5977)Time elapsed: 0.004 s 0.17/0.39 % (5977)------------------------------ 0.17/0.39 % (5977)------------------------------ 0.17/0.39 % (5975)Refutation not found, incomplete strategy% (5975)------------------------------ 0.17/0.39 % (5975)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.17/0.39 % (5975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.17/0.39 % (5975)Termination reason: Refutation not found, incomplete strategy 0.17/0.39 0.17/0.39 % (5975)Memory used [KB]: 11001 0.17/0.39 % (5975)Time elapsed: 0.003 s 0.17/0.39 % (5975)------------------------------ 0.17/0.39 % (5975)------------------------------ 0.17/0.39 % (5981)Refutation not found, incomplete strategy% (5981)------------------------------ 0.17/0.39 % (5981)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.17/0.39 % (5981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.17/0.39 % (5981)Termination reason: Refutation not found, incomplete strategy 0.17/0.39 0.17/0.39 % (5981)Memory used [KB]: 11257 0.17/0.39 % (5981)Time elapsed: 0.006 s 0.17/0.39 % (5981)------------------------------ 0.17/0.39 % (5981)------------------------------ 0.17/0.39 % (5980)ott+1002_2_av=off:bd=preordered:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_22 on theBenchmark 0.17/0.40 % (5974)ott+11_2:1_add=large:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_3 on theBenchmark 0.17/0.40 % (5974)Refutation not found, incomplete strategy% (5974)------------------------------ 0.17/0.40 % (5974)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.17/0.40 % (5974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.17/0.40 % (5974)Termination reason: Refutation not found, incomplete strategy 0.17/0.40 0.17/0.40 % (5974)Memory used [KB]: 6396 0.17/0.40 % (5974)Time elapsed: 0.003 s 0.17/0.40 % (5974)------------------------------ 0.17/0.40 % (5974)------------------------------ 0.17/0.44 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 0.17/0.44 % (5982)dis+1011_24_add=large:afr=on:afp=4000:afq=1.0:anc=none:bs=unit_only:bce=on:cond=fast:gs=on:nm=32:nwc=2.5:nicw=on:sp=occurrence:updr=off_4 on theBenchmark 0.17/0.44 % (5984)dis-3_5_av=off:cond=on:gs=on:gsem=off:lcm=predicate:nm=0:nwc=1:sos=on:sp=reverse_arity_3 on theBenchmark 0.17/0.44 % (5983)dis+11_4_afr=on:afp=1000:afq=1.4:amm=off:anc=none:lcm=reverse:lma=on:lwlo=on:nm=6:newcnf=on:nwc=1:sd=2:ss=axioms:st=2.0:sp=reverse_arity_2 on theBenchmark 0.17/0.44 % (5983)Refutation not found, incomplete strategy% (5983)------------------------------ 0.17/0.44 % (5983)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.17/0.44 % (5983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.17/0.44 % (5983)Termination reason: Refutation not found, incomplete strategy 0.17/0.44 0.17/0.44 % (5983)Memory used [KB]: 6524 0.17/0.44 % (5983)Time elapsed: 0.002 s 0.17/0.44 % (5983)------------------------------ 0.17/0.44 % (5983)------------------------------ 0.17/0.44 % (5984)Refutation not found, incomplete strategy% (5984)------------------------------ 0.17/0.44 % (5984)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.17/0.44 % (5984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.17/0.44 % (5984)Termination reason: Refutation not found, incomplete strategy 0.17/0.44 0.17/0.44 % (5984)Memory used [KB]: 6524 0.17/0.44 % (5984)Time elapsed: 0.004 s 0.17/0.44 % (5984)------------------------------ 0.17/0.44 % (5984)------------------------------ 0.17/0.45 % (5985)lrs+1011_3:2_av=off:er=known:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=2:ss=axioms:st=3.0:urr=on:updr=off_5 on theBenchmark 0.17/0.45 % (5985)Refutation not found, incomplete strategy% (5985)------------------------------ 0.17/0.45 % (5985)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.17/0.45 % (5985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.17/0.45 % (5985)Termination reason: Refutation not found, incomplete strategy 0.17/0.45 0.17/0.45 % (5985)Memory used [KB]: 1918 0.17/0.45 % (5985)Time elapsed: 0.003 s 0.17/0.45 % (5985)------------------------------ 0.17/0.45 % (5985)------------------------------ 0.17/0.46 % (5986)lrs+1003_2_acc=on:afp=4000:afq=2.0:amm=sco:bd=off:ccuc=small_ones:fsr=off:fde=unused:gsp=on:nm=64:newcnf=on:nwc=2.5:nicw=on:stl=30:urr=ec_only_8 on theBenchmark 0.17/0.50 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs 0.17/0.50 % (5987)lrs+2_1_add=large:afp=100000:afq=1.0:amm=off:anc=none:bd=off:bs=unit_only:bsr=on:gsp=on:lma=on:lwlo=on:newcnf=on:nwc=1:stl=30:sos=theory:sp=reverse_arity:updr=off_14 on theBenchmark 0.17/0.50 % (5988)ott+1_8_av=off:bd=off:bs=on:cond=on:gsp=on:gs=on:gsem=off:irw=on:lcm=predicate:lwlo=on:nwc=1:sos=on_10 on theBenchmark 0.17/0.50 % (5988)Refutation not found, incomplete strategy% (5988)------------------------------ 0.17/0.50 % (5988)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.17/0.50 % (5988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.17/0.50 % (5988)Termination reason: Refutation not found, incomplete strategy 0.17/0.50 0.17/0.50 % (5988)Memory used [KB]: 6524 0.17/0.50 % (5988)Time elapsed: 0.003 s 0.17/0.50 % (5988)------------------------------ 0.17/0.50 % (5988)------------------------------ 0.17/0.51 % (5989)dis+1010_3:2_acc=on:afr=on:afp=1000:afq=1.2:amm=sco:bs=on:ccuc=first:fde=none:nm=0:nwc=4:sd=3:ss=axioms:st=5.0:urr=ec_only_4 on theBenchmark 0.17/0.52 % (5989)Refutation not found, incomplete strategy% (5989)------------------------------ 0.17/0.52 % (5989)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.17/0.52 % (5989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.17/0.52 % (5989)Termination reason: Refutation not found, incomplete strategy 0.17/0.52 0.17/0.52 % (5989)Memory used [KB]: 6524 0.17/0.52 % (5989)Time elapsed: 0.003 s 0.17/0.52 % (5989)------------------------------ 0.17/0.52 % (5989)------------------------------ 0.17/0.56 % (5990)dis+11_3:1_add=off:afr=on:afp=100000:afq=1.2:amm=off:anc=none:bd=off:bs=unit_only:irw=on:lcm=predicate:lma=on:nm=2:nwc=1:sd=2:ss=axioms:sos=all:sp=occurrence:updr=off_1 on theBenchmark 0.17/0.56 % (5990)Refutation not found, incomplete strategy% (5990)------------------------------ 0.17/0.56 % (5990)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.17/0.56 % (5990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.17/0.56 % (5990)Termination reason: Refutation not found, incomplete strategy 0.17/0.56 0.17/0.56 % (5990)Memory used [KB]: 6396 0.17/0.56 % (5990)Time elapsed: 0.003 s 0.17/0.56 % (5990)------------------------------ 0.17/0.56 % (5990)------------------------------ 1.93/0.58 % (5991)lrs+1002_3_aac=none:acc=on:add=off:afp=4000:afq=1.1:amm=sco:anc=none:cond=on:fsr=off:gs=on:irw=on:nm=32:newcnf=on:nwc=1.1:nicw=on:stl=30:sd=2:ss=axioms:st=5.0:sos=on:sp=occurrence:updr=off_24 on theBenchmark 1.93/0.58 % (5991)Refutation not found, incomplete strategy% (5991)------------------------------ 1.93/0.58 % (5991)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 1.93/0.58 % (5991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 1.93/0.58 % (5991)Termination reason: Refutation not found, incomplete strategy 1.93/0.58 1.93/0.58 % (5991)Memory used [KB]: 10874 1.93/0.58 % (5991)Time elapsed: 0.004 s 1.93/0.58 % (5991)------------------------------ 1.93/0.58 % (5991)------------------------------ 2.06/0.62 % (5992)dis+1010_4_afp=10000:afq=1.2:anc=none:irw=on:lma=on:nm=64:nwc=10:sas=z3:sac=on:sp=reverse_arity:updr=off_2 on theBenchmark 2.35/0.65 % (5993)lrs+1011_2:3_av=off:gs=on:gsem=off:nwc=1.5:stl=30:sos=theory:sp=occurrence:urr=ec_only:updr=off_36 on theBenchmark 3.63/0.88 % (5978)Time limit reached! 3.63/0.88 % (5978)------------------------------ 3.63/0.88 % (5978)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 3.63/0.88 % (5978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 3.63/0.88 % (5979)Time limit reached! 3.63/0.88 % (5979)------------------------------ 3.63/0.88 % (5979)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 3.63/0.88 % (5979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 3.63/0.88 % (5979)Termination reason: Time limit 3.63/0.88 % (5979)Termination phase: Saturation 3.63/0.88 3.63/0.88 % (5979)Memory used [KB]: 24946 3.63/0.88 % (5979)Time elapsed: 0.500 s 3.63/0.88 % (5979)------------------------------ 3.63/0.88 % (5979)------------------------------ 3.63/0.88 % (5978)Termination reason: Time limit 3.63/0.88 % (5978)Termination phase: Saturation 3.63/0.88 3.63/0.88 % (5978)Memory used [KB]: 20596 3.63/0.88 % (5978)Time elapsed: 0.500 s 3.63/0.88 % (5978)------------------------------ 3.63/0.88 % (5978)------------------------------ 4.07/0.94 % (5994)ott+1004_12_awrs=converge:awrsf=64:aac=none:afr=on:afp=4000:afq=1.4:amm=sco:anc=none:bs=on:cond=fast:fsr=off:gs=on:gsaa=full_model:gsem=on:lma=on:nwc=5:nicw=on:sas=z3:sos=all:sac=on:sp=occurrence:urr=ec_only_2 on theBenchmark 4.07/0.94 % (5995)dis+11_28_av=off:fsr=off:irw=on:lcm=predicate:nm=2:newcnf=on:nwc=5:sp=occurrence:urr=on:updr=off_2 on theBenchmark 5.95/1.12 % (5992)Time limit reached! 5.95/1.12 % (5992)------------------------------ 5.95/1.12 % (5992)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 5.95/1.12 % (5992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 5.95/1.12 % (5992)Termination reason: Time limit 5.95/1.12 % (5992)Termination phase: Saturation 5.95/1.12 5.95/1.12 % (5992)Memory used [KB]: 5628 5.95/1.12 % (5992)Time elapsed: 0.500 s 5.95/1.12 % (5992)------------------------------ 5.95/1.12 % (5992)------------------------------ 5.95/1.14 % (5982)Time limit reached! 5.95/1.14 % (5982)------------------------------ 5.95/1.14 % (5982)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 5.95/1.14 % (5982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 5.95/1.14 % (5982)Termination reason: Time limit 5.95/1.14 % (5982)Termination phase: Saturation 5.95/1.14 5.95/1.14 % (5982)Memory used [KB]: 24818 5.95/1.14 % (5982)Time elapsed: 0.700 s 5.95/1.14 % (5982)------------------------------ 5.95/1.14 % (5982)------------------------------ 6.67/1.18 % (5996)dis+1011_5:4_acc=model:afr=on:afp=10000:afq=1.4:amm=off:anc=none:bd=off:ccuc=small_ones:cond=fast:fde=unused:gs=on:nm=2:newcnf=on:nwc=1:nicw=on:sos=on:sac=on:sp=occurrence:updr=off_72 on theBenchmark 6.67/1.19 % (5996)Refutation not found, incomplete strategy% (5996)------------------------------ 6.67/1.19 % (5996)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 6.67/1.19 % (5996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 6.67/1.19 % (5996)Termination reason: Refutation not found, incomplete strategy 6.67/1.19 6.67/1.19 % (5996)Memory used [KB]: 11129 6.67/1.19 % (5996)Time elapsed: 0.006 s 6.67/1.19 % (5996)------------------------------ 6.67/1.19 % (5996)------------------------------ 6.67/1.20 % (5997)dis-10_1_aac=none:afr=on:afp=10000:afq=1.0:amm=off:anc=none:fsr=off:gs=on:gsem=off:irw=on:nm=4:newcnf=on:nwc=2:sp=occurrence_2 on theBenchmark 7.09/1.25 % (5998)lrs+1011_4:1_av=off:fsr=off:irw=on:nwc=1:stl=30:sd=4:ss=axioms:st=1.5:sp=reverse_arity_12 on theBenchmark 7.09/1.25 % (5998)Refutation not found, incomplete strategy% (5998)------------------------------ 7.09/1.25 % (5998)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 7.09/1.25 % (5998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 7.09/1.25 % (5998)Termination reason: Refutation not found, incomplete strategy 7.09/1.25 7.09/1.25 % (5998)Memory used [KB]: 2046 7.09/1.25 % (5998)Time elapsed: 0.002 s 7.09/1.25 % (5998)------------------------------ 7.09/1.25 % (5998)------------------------------ 7.09/1.31 % (5999)dis+11_5_av=off:bd=off:bs=unit_only:bsr=on:cond=on:lcm=reverse:nm=0:nwc=1.2_5 on theBenchmark 8.03/1.44 % (5994)Time limit reached! 8.03/1.44 % (5994)------------------------------ 8.03/1.44 % (5994)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 8.03/1.44 % (5994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 8.03/1.44 % (5994)Termination reason: Time limit 8.03/1.44 % (5995)Time limit reached! 8.03/1.44 % (5995)------------------------------ 8.03/1.44 % (5995)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 8.03/1.44 % (5995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 8.03/1.44 % (5995)Termination reason: Time limit 8.03/1.44 % (5995)Termination phase: Saturation 8.03/1.44 8.03/1.44 % (5995)Memory used [KB]: 13944 8.03/1.44 % (5995)Time elapsed: 0.500 s 8.03/1.44 % (5995)------------------------------ 8.03/1.44 % (5995)------------------------------ 8.03/1.44 % (5994)Termination phase: Saturation 8.03/1.44 8.03/1.44 % (5994)Memory used [KB]: 18805 8.03/1.44 % (5994)Time elapsed: 0.500 s 8.03/1.44 % (5994)------------------------------ 8.03/1.44 % (5994)------------------------------ 8.53/1.50 % (6000)ott+1002_128_av=off:bd=off:bs=on:bsr=on:cond=on:fsr=off:nm=6:newcnf=on:nwc=1:sp=reverse_arity:updr=off_9 on theBenchmark 8.53/1.50 % (6001)dis+1003_64_add=off:afr=on:afp=100000:afq=1.1:anc=none:cond=fast:fde=none:irw=on:nm=6:newcnf=on:nwc=1.3:uhcvi=on_5 on theBenchmark 8.78/1.56 % (5986)Time limit reached! 8.78/1.56 % (5986)------------------------------ 8.78/1.56 % (5986)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 8.78/1.56 % (5986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 8.78/1.56 % (5986)Termination reason: Time limit 8.78/1.56 % (5986)Termination phase: Saturation 8.78/1.56 8.78/1.56 % (5986)Memory used [KB]: 44519 8.78/1.56 % (5986)Time elapsed: 1.100 s 8.78/1.56 % (5986)------------------------------ 8.78/1.56 % (5986)------------------------------ 9.08/1.63 % (6002)lrs+10_6_aac=none:acc=model:add=large:afr=on:afp=10000:afq=1.2:amm=off:anc=none:bd=off:ccuc=small_ones:irw=on:lcm=reverse:nm=0:nwc=1:nicw=on:stl=30:sos=on:sp=reverse_arity:updr=off_2 on theBenchmark 9.08/1.63 % (6002)Refutation not found, incomplete strategy% (6002)------------------------------ 9.08/1.63 % (6002)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 9.08/1.63 % (6002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 9.08/1.63 % (6002)Termination reason: Refutation not found, incomplete strategy 9.08/1.63 9.08/1.63 % (6002)Memory used [KB]: 6780 9.08/1.63 % (6002)Time elapsed: 0.005 s 9.08/1.63 % (6002)------------------------------ 9.08/1.63 % (6002)------------------------------ 9.08/1.69 % (6003)ott+11_8_amm=off:anc=none:bsr=on:cond=on:irw=on:nm=2:nwc=1.1:ss=axioms:st=2.0:sac=on_1 on theBenchmark 9.08/1.69 % (6003)Refutation not found, incomplete strategy% (6003)------------------------------ 9.08/1.69 % (6003)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 9.08/1.69 % (6003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 9.08/1.69 % (6003)Termination reason: Refutation not found, incomplete strategy 9.08/1.69 9.08/1.69 % (6003)Memory used [KB]: 6524 9.08/1.69 % (6003)Time elapsed: 0.003 s 9.08/1.69 % (6003)------------------------------ 9.08/1.69 % (6003)------------------------------ 9.08/1.70 % (5997)Time limit reached! 9.08/1.70 % (5997)------------------------------ 9.08/1.70 % (5997)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 9.08/1.70 % (5997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 9.08/1.70 % (5997)Termination reason: Time limit 9.08/1.70 % (5997)Termination phase: Saturation 9.08/1.70 9.08/1.70 % (5997)Memory used [KB]: 25458 9.08/1.70 % (5997)Time elapsed: 0.500 s 9.08/1.70 % (5997)------------------------------ 9.08/1.70 % (5997)------------------------------ 10.97/1.75 % (6004)lrs+1011_5_add=large:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_4 on theBenchmark 10.97/1.75 % (6004)Refutation not found, incomplete strategy% (6004)------------------------------ 10.97/1.75 % (6004)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 10.97/1.75 % (6004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 10.97/1.75 % (6004)Termination reason: Refutation not found, incomplete strategy 10.97/1.75 10.97/1.75 % (6004)Memory used [KB]: 6396 10.97/1.75 % (6004)Time elapsed: 0.003 s 10.97/1.75 % (6004)------------------------------ 10.97/1.75 % (6004)------------------------------ 10.97/1.76 % (6005)lrs+10_1_afr=on:afp=100000:afq=1.2:amm=sco:anc=none:br=off:cond=on:gs=on:gsem=on:irw=on:nm=16:nwc=1:stl=30:sac=on:sp=occurrence:urr=on:updr=off_12 on theBenchmark 11.67/1.82 % (6006)ott-3_3_av=off:cond=fast:fde=none:lcm=reverse:nm=6:nwc=1:sd=5:ss=axioms:st=2.0:sos=on:sp=reverse_arity:updr=off:uhcvi=on_17 on theBenchmark 11.67/1.82 % (6006)Refutation not found, incomplete strategy% (6006)------------------------------ 11.67/1.82 % (6006)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 11.67/1.82 % (6006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 11.67/1.82 % (6006)Termination reason: Refutation not found, incomplete strategy 11.67/1.82 11.67/1.82 % (6006)Memory used [KB]: 1918 11.67/1.82 % (6006)Time elapsed: 0.003 s 11.67/1.82 % (6006)------------------------------ 11.67/1.82 % (6006)------------------------------ 11.67/1.88 % (6007)lrs+10_2:3_afp=1000:afq=1.1:amm=sco:anc=none:er=known:lcm=reverse:lwlo=on:nm=64:newcnf=on:nwc=2:stl=30:sd=5:ss=axioms:sos=theory:sac=on:sp=occurrence_233 on theBenchmark 11.67/1.88 % (6007)Refutation not found, incomplete strategy% (6007)------------------------------ 11.67/1.88 % (6007)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 11.67/1.88 % (6007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 11.67/1.88 % (6007)Termination reason: Refutation not found, incomplete strategy 11.67/1.88 11.67/1.88 % (6007)Memory used [KB]: 6524 11.67/1.88 % (6007)Time elapsed: 0.003 s 11.67/1.88 % (6007)------------------------------ 11.67/1.88 % (6007)------------------------------ 12.33/1.95 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 12.33/1.95 % (6008)dis+11_32_av=off:ep=RST:fsr=off:lwlo=on:nm=6:nwc=1.1:sd=5:ss=axioms:st=5.0:sp=reverse_arity:uhcvi=on_2 on theBenchmark 12.33/1.95 % (6008)Refutation not found, incomplete strategy% (6008)------------------------------ 12.33/1.95 % (6008)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 12.33/1.95 % (6008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 12.33/1.95 % (6008)Termination reason: Refutation not found, incomplete strategy 12.33/1.95 12.33/1.95 % (6008)Memory used [KB]: 2046 12.33/1.95 % (6008)Time elapsed: 0.002 s 12.33/1.95 % (6008)------------------------------ 12.33/1.95 % (6008)------------------------------ 12.90/2.01 % (6009)ott+1_5_afp=40000:afq=1.0:anc=all:fde=none:gs=on:irw=on:lma=on:nm=32:nwc=2:sos=all:sac=on:sp=occurrence:urr=ec_only:uhcvi=on_125 on theBenchmark 12.90/2.02 % (6009)Refutation not found, incomplete strategy% (6009)------------------------------ 12.90/2.02 % (6009)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 12.90/2.02 % (6009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 12.90/2.02 % (6009)Termination reason: Refutation not found, incomplete strategy 12.90/2.02 12.90/2.02 % (6009)Memory used [KB]: 11001 12.90/2.02 % (6009)Time elapsed: 0.005 s 12.90/2.02 % (6009)------------------------------ 12.90/2.02 % (6009)------------------------------ 12.90/2.08 % (6010)ott+1_8:1_av=off:bd=preordered:bsr=on:lma=on:nm=64:newcnf=on:nwc=1.2:uhcvi=on_205 on theBenchmark 13.55/2.10 % (5987)Time limit reached! 13.55/2.10 % (5987)------------------------------ 13.55/2.10 % (5987)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 13.55/2.10 % (5987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 13.55/2.10 % (5987)Termination reason: Time limit 13.55/2.10 % (5987)Termination phase: Saturation 13.55/2.10 13.55/2.10 % (5987)Memory used [KB]: 45159 13.55/2.10 % (5987)Time elapsed: 1.600 s 13.55/2.10 % (5987)------------------------------ 13.55/2.10 % (5987)------------------------------ 13.66/2.11 % (5999)Time limit reached! 13.66/2.11 % (5999)------------------------------ 13.66/2.11 % (5999)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 13.66/2.11 % (5999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 13.66/2.11 % (5999)Termination reason: Time limit 13.66/2.11 % (5999)Termination phase: Saturation 13.66/2.11 13.66/2.11 % (5999)Memory used [KB]: 22131 13.66/2.11 % (5999)Time elapsed: 0.800 s 13.66/2.11 % (5999)------------------------------ 13.66/2.11 % (5999)------------------------------ 13.72/2.16 % (6011)lrs+1011_2:1_av=off:irw=on:lwlo=on:nm=16:newcnf=on:nwc=2:stl=30:sd=4:ss=axioms:st=3.0:sp=occurrence_30 on theBenchmark 13.72/2.16 % (6011)Refutation not found, incomplete strategy% (6011)------------------------------ 13.72/2.16 % (6011)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 13.72/2.16 % (6011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 13.72/2.16 % (6011)Termination reason: Refutation not found, incomplete strategy 13.72/2.16 13.72/2.16 % (6011)Memory used [KB]: 2046 13.72/2.16 % (6011)Time elapsed: 0.003 s 13.72/2.16 % (6011)------------------------------ 13.72/2.16 % (6011)------------------------------ 13.72/2.17 % (6012)dis+1002_8_add=large:afp=100000:afq=1.2:amm=off:bs=on:irw=on:nm=2:newcnf=on:nwc=1.1:sos=on:sp=reverse_arity:urr=ec_only:updr=off_259 on theBenchmark 13.72/2.18 % (6012)Refutation not found, incomplete strategy% (6012)------------------------------ 13.72/2.18 % (6012)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 13.72/2.18 % (6012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 13.72/2.18 % (6012)Termination reason: Refutation not found, incomplete strategy 13.72/2.18 13.72/2.18 % (6012)Memory used [KB]: 6908 13.72/2.18 % (6012)Time elapsed: 0.006 s 13.72/2.18 % (6012)------------------------------ 13.72/2.18 % (6012)------------------------------ 14.22/2.22 % (6013)lrs+1011_5:4_acc=on:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_5 on theBenchmark 14.22/2.23 % (6013)Refutation not found, incomplete strategy% (6013)------------------------------ 14.22/2.23 % (6013)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 14.22/2.23 % (6013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 14.22/2.23 % (6013)Termination reason: Refutation not found, incomplete strategy 14.22/2.23 14.22/2.23 % (6013)Memory used [KB]: 11257 14.22/2.23 % (6013)Time elapsed: 0.028 s 14.22/2.23 % (6013)------------------------------ 14.22/2.23 % (6013)------------------------------ 14.22/2.24 % (6014)dis+11_10_av=off:lma=on:nm=64:nwc=5:sp=reverse_arity_3 on theBenchmark 14.22/2.29 % (6015)ott-11_12_aac=none:afp=100000:afq=1.2:amm=sco:bs=on:bce=on:cond=fast:er=known:gs=on:gsaa=from_current:gsem=off:irw=on:nm=4:nwc=2:sas=z3:sos=all:sp=occurrence:urr=ec_only:updr=off_253 on theBenchmark 14.22/2.29 % (6001)Time limit reached! 14.22/2.29 % (6001)------------------------------ 14.22/2.29 % (6001)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 14.22/2.29 % (6001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 14.22/2.29 % (6001)Termination reason: Time limit 14.22/2.29 % (6001)Termination phase: Saturation 14.22/2.29 14.22/2.29 % (6001)Memory used [KB]: 26097 14.22/2.29 % (6001)Time elapsed: 0.800 s 14.22/2.29 % (6001)------------------------------ 14.22/2.29 % (6001)------------------------------ 15.75/2.37 % (6016)ott+10_2:3_add=large:afp=40000:afq=1.1:amm=off:anc=all_dependent:bd=preordered:bs=unit_only:cond=fast:er=filter:gs=on:gsaa=from_current:lma=on:nm=32:nwc=1.1:sas=z3:sac=on:sp=occurrence:urr=ec_only:updr=off_679 on theBenchmark 17.69/2.59 % (6000)Time limit reached! 17.69/2.59 % (6000)------------------------------ 17.69/2.59 % (6000)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 17.69/2.59 % (6000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 17.69/2.59 % (6000)Termination reason: Time limit 17.69/2.59 % (6000)Termination phase: Saturation 17.69/2.59 17.69/2.59 % (6000)Memory used [KB]: 17270 17.69/2.59 % (6000)Time elapsed: 1.100 s 17.69/2.59 % (6000)------------------------------ 17.69/2.59 % (6000)------------------------------ 17.69/2.65 % (6017)lrs+1011_3:2_aac=none:afp=10000:afq=1.2:amm=off:anc=all:cond=on:fde=none:gs=on:gsem=on:irw=on:lma=on:nm=32:newcnf=on:nwc=3:nicw=on:stl=30:sac=on:sp=reverse_arity:urr=ec_only:updr=off:uhcvi=on_21 on theBenchmark 18.47/2.79 % (5980)Time limit reached! 18.47/2.79 % (5980)------------------------------ 18.47/2.79 % (5980)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 18.47/2.79 % (5980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 18.47/2.79 % (5980)Termination reason: Time limit 18.47/2.79 % (5980)Termination phase: Saturation 18.47/2.79 18.47/2.79 % (5980)Memory used [KB]: 35308 18.47/2.79 % (5980)Time elapsed: 2.400 s 18.47/2.79 % (5980)------------------------------ 18.47/2.79 % (5980)------------------------------ 19.03/2.83 % (6014)Time limit reached! 19.03/2.83 % (6014)------------------------------ 19.03/2.83 % (6014)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 19.03/2.83 % (6014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 19.03/2.83 % (6014)Termination reason: Time limit 19.03/2.83 % (6014)Termination phase: Saturation 19.03/2.83 19.03/2.83 % (6014)Memory used [KB]: 14072 19.03/2.83 % (6014)Time elapsed: 0.600 s 19.03/2.83 % (6014)------------------------------ 19.03/2.83 % (6014)------------------------------ 19.03/2.86 % (6018)lrs+10_128_acc=model:afp=100000:afq=2.0:anc=all_dependent:bs=on:bsr=on:cond=fast:er=filter:gs=on:gsem=off:lcm=reverse:lma=on:nm=32:nwc=3:stl=30:sac=on:sp=occurrence:urr=ec_only_70 on theBenchmark 19.39/2.90 % (6019)lrs+1011_3:1_av=off:cond=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sos=all:updr=off_51 on theBenchmark 22.15/3.16 % (6005)Time limit reached! 22.15/3.16 % (6005)------------------------------ 22.15/3.16 % (6005)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 22.15/3.16 % (6005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 22.15/3.16 % (6005)Termination reason: Time limit 22.15/3.16 % (6005)Termination phase: Saturation 22.15/3.16 22.15/3.16 % (6005)Memory used [KB]: 46566 22.15/3.16 % (6005)Time elapsed: 1.400 s 22.15/3.16 % (6005)------------------------------ 22.15/3.16 % (6005)------------------------------ 22.70/3.23 % (6020)lrs+1010_5:4_av=off:bd=off:bsr=on:irw=on:lwlo=on:newcnf=on:nwc=1.1:stl=90:sos=all:sp=occurrence:uhcvi=on_145 on theBenchmark 32.21/4.45 % (5993)Time limit reached! 32.21/4.45 % (5993)------------------------------ 32.21/4.45 % (5993)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 32.21/4.45 % (5993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 32.21/4.45 % (5993)Termination reason: Time limit 32.21/4.45 % (5993)Termination phase: Saturation 32.21/4.45 32.21/4.45 % (5993)Memory used [KB]: 67546 32.21/4.45 % (5993)Time elapsed: 3.800 s 32.21/4.45 % (5993)------------------------------ 32.21/4.45 % (5993)------------------------------ 33.29/4.52 % (6021)lrs+11_4_av=off:gsp=on:irw=on:lma=on:nm=0:nwc=1.2:stl=30:sd=2:ss=axioms:sp=reverse_arity:urr=on:updr=off_59 on theBenchmark 33.29/4.52 % (6021)Refutation not found, incomplete strategy% (6021)------------------------------ 33.29/4.52 % (6021)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 33.29/4.52 % (6021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 33.29/4.52 % (6021)Termination reason: Refutation not found, incomplete strategy 33.29/4.52 33.29/4.52 % (6021)Memory used [KB]: 1918 33.29/4.52 % (6021)Time elapsed: 0.003 s 33.29/4.52 % (6021)------------------------------ 33.29/4.52 % (6021)------------------------------ 33.45/4.59 % (6022)lrs+1011_14_av=off:fsr=off:irw=on:nwc=1:stl=30:sos=on:sp=occurrence:urr=ec_only:updr=off_53 on theBenchmark 36.43/4.95 % (6017)Time limit reached! 36.43/4.95 % (6017)------------------------------ 36.43/4.95 % (6017)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 36.43/4.95 % (6017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 36.43/4.95 % (6017)Termination reason: Time limit 36.43/4.95 % (6017)Termination phase: Saturation 36.43/4.95 36.43/4.95 % (6017)Memory used [KB]: 63836 36.43/4.95 % (6017)Time elapsed: 2.300 s 36.43/4.95 % (6017)------------------------------ 36.43/4.95 % (6017)------------------------------ 37.05/5.01 % (6023)dis+11_5_afp=40000:afq=1.4:anc=none:br=off:cond=on:fsr=off:irw=on:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=2.0:urr=on:updr=off_5 on theBenchmark 37.05/5.02 % (6023)Refutation not found, incomplete strategy% (6023)------------------------------ 37.05/5.02 % (6023)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 37.05/5.02 % (6023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 37.05/5.02 % (6023)Termination reason: Refutation not found, incomplete strategy 37.05/5.02 37.05/5.02 % (6023)Memory used [KB]: 6396 37.05/5.02 % (6023)Time elapsed: 0.003 s 37.05/5.02 % (6023)------------------------------ 37.05/5.02 % (6023)------------------------------ 37.74/5.08 % (6024)lrs+1_3:2_aac=none:add=large:anc=all_dependent:bce=on:cond=fast:ep=RST:fsr=off:lma=on:nm=2:nwc=1:stl=30:sos=on:sp=occurrence:urr=on:updr=off:uhcvi=on_5 on theBenchmark 37.74/5.09 % (6024)Refutation not found, incomplete strategy% (6024)------------------------------ 37.74/5.09 % (6024)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 37.74/5.09 % (6024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 37.74/5.09 % (6024)Termination reason: Refutation not found, incomplete strategy 37.74/5.09 37.74/5.09 % (6024)Memory used [KB]: 6780 37.74/5.09 % (6024)Time elapsed: 0.008 s 37.74/5.09 % (6024)------------------------------ 37.74/5.09 % (6024)------------------------------ 38.09/5.15 % (6025)lrs-11_8_afr=on:afp=100000:afq=2.0:anc=none:bd=off:cond=on:gs=on:lma=on:nm=2:newcnf=on:nwc=3:stl=30:sac=on:sp=occurrence_3 on theBenchmark 42.66/5.75 % (6025)Time limit reached! 42.66/5.75 % (6025)------------------------------ 42.66/5.75 % (6025)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 42.66/5.75 % (6025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 42.66/5.75 % (6025)Termination reason: Time limit 42.66/5.75 % (6025)Termination phase: Saturation 42.66/5.75 42.66/5.75 % (6025)Memory used [KB]: 26225 42.66/5.75 % (6025)Time elapsed: 0.600 s 42.66/5.75 % (6025)------------------------------ 42.66/5.75 % (6025)------------------------------ 43.58/5.81 % (6026)dis+1010_3:1_av=off:irw=on:nm=32:nwc=1:sos=all:urr=ec_only:updr=off_158 on theBenchmark 55.45/7.37 % (6016)First to succeed. 56.32/7.42 % (6016)Refutation found. Thanks to Tanya! 56.32/7.42 % SZS status Theorem for theBenchmark 56.32/7.42 % SZS output start Proof for theBenchmark 56.32/7.42 fof(f43211,plain,( 56.32/7.42 $false), 56.32/7.42 inference(avatar_smt_refutation,[],[f506,f511,f516,f521,f526,f531,f536,f541,f546,f551,f556,f561,f566,f571,f576,f581,f586,f591,f596,f601,f606,f611,f616,f621,f626,f631,f636,f641,f646,f655,f660,f669,f678,f683,f692,f700,f705,f713,f718,f727,f729,f738,f747,f755,f760,f765,f773,f781,f786,f794,f799,f807,f812,f820,f825,f833,f838,f846,f851,f855,f864,f888,f896,f901,f913,f918,f923,f928,f932,f937,f942,f947,f952,f961,f984,f992,f997,f1002,f1012,f1019,f1023,f1028,f1034,f1046,f1054,f1059,f1063,f1093,f1094,f1095,f1117,f1125,f1130,f1135,f1141,f1149,f1160,f1165,f1170,f1176,f1184,f1189,f1194,f1202,f1210,f1215,f1220,f1231,f1236,f1247,f1252,f1262,f1264,f1265,f1278,f1285,f1293,f1302,f1322,f1329,f1373,f1382,f1386,f1391,f1395,f1399,f1404,f1409,f1413,f1418,f1426,f1436,f1451,f1493,f1509,f1522,f1527,f1558,f1583,f1610,f1736,f1747,f1752,f1781,f1853,f1862,f2018,f2060,f2079,f2133,f2154,f2163,f2168,f2173,f2178,f2182,f2187,f2201,f2216,f2220,f2225,f2233,f2249,f2250,f2255,f2267,f2270,f2279,f2283,f2312,f2327,f2391,f2396,f2403,f2410,f2415,f2420,f2424,f2437,f2444,f2469,f2474,f2479,f2525,f2589,f2612,f2664,f2725,f2772,f2777,f2782,f2789,f2804,f2805,f2831,f2835,f2857,f2861,f2888,f2892,f2915,f2929,f2933,f2950,f2954,f3033,f3077,f3121,f3125,f3151,f3182,f3293,f3320,f3345,f3350,f3377,f3463,f3479,f3484,f3522,f3556,f3573,f3596,f3634,f3768,f3816,f3838,f3908,f3938,f3998,f4003,f4105,f4207,f4208,f4212,f4231,f4232,f4233,f4234,f4235,f4236,f4271,f4288,f4301,f4313,f4316,f4321,f4331,f4340,f4353,f4451,f4487,f4802,f4807,f4817,f4836,f4840,f4844,f4849,f4907,f5107,f5111,f5115,f5120,f5527,f5565,f5569,f5573,f5583,f5591,f5723,f5727,f5731,f5736,f5763,f5773,f5777,f5783,f5848,f5853,f5857,f5862,f5866,f5871,f5895,f5915,f5919,f5924,f5929,f5933,f5937,f5941,f5947,f5956,f5961,f5982,f5998,f6034,f6039,f6089,f6142,f6153,f6164,f6168,f6184,f6312,f6316,f6374,f6379,f6398,f6404,f6408,f6413,f6417,f6430,f6435,f6439,f6498,f6502,f6554,f6562,f6567,f6609,f6729,f6785,f7275,f7292,f7296,f7313,f7317,f7326,f7330,f7334,f7338,f7342,f7346,f7412,f7417,f7533,f7597,f7601,f7606,f7610,f7615,f7623,f7628,f7632,f7637,f7641,f7645,f7650,f7655,f7766,f7771,f7933,f8361,f8708,f8719,f8723,f8727,f8731,f8744,f8776,f8797,f8801,f8812,f8823,f8827,f9198,f9378,f9524,f9622,f9764,f9939,f10081,f10085,f10089,f10165,f10169,f10173,f10177,f10198,f10203,f10207,f10216,f10475,f10519,f10703,f10775,f11027,f11249,f11429,f11595,f12064,f12104,f12108,f12158,f12162,f12166,f12170,f12345,f12349,f12474,f12549,f12553,f12557,f12561,f12565,f12738,f13164,f13168,f13172,f13176,f13180,f13184,f13216,f13526,f13651,f13827,f13967,f13971,f13988,f13992,f13996,f14000,f14004,f14137,f14141,f14323,f14391,f15288,f15422,f15426,f15632,f15636,f15688,f15866,f16737,f16741,f16753,f16757,f16761,f16805,f16817,f16844,f16938,f16943,f17105,f17318,f17371,f17414,f17456,f19246,f19251,f19747,f19751,f19869,f19886,f19887,f19888,f19895,f19917,f20060,f20065,f20069,f20093,f20314,f20318,f20322,f20326,f20438,f20442,f20446,f20450,f20498,f20502,f20520,f20538,f20542,f20598,f20633,f20637,f20642,f20646,f20650,f20654,f20658,f20662,f20666,f20670,f20674,f20678,f20682,f20686,f20690,f20839,f20893,f21502,f21557,f22594,f22657,f22750,f22755,f22976,f22980,f22984,f23195,f23196,f23197,f23198,f23199,f23200,f23201,f23202,f23203,f23204,f23205,f23206,f23207,f23208,f23209,f23210,f23211,f23212,f23213,f23214,f23215,f23216,f23217,f23218,f23219,f23220,f23221,f23222,f23223,f23224,f23225,f23226,f23227,f23228,f23229,f23230,f23231,f23232,f23233,f23234,f23235,f23236,f23237,f23238,f23239,f23240,f23241,f23242,f23243,f23244,f23245,f23246,f23247,f23248,f23249,f23250,f23251,f23252,f23253,f23254,f23255,f23256,f23257,f23258,f23259,f23260,f23261,f23262,f23263,f23264,f23265,f23266,f23267,f23268,f23269,f23270,f23271,f23272,f23273,f23274,f23275,f23276,f23277,f23278,f23279,f23280,f23281,f23282,f23283,f23284,f23285,f23286,f23287,f23288,f23289,f23290,f23291,f23292,f23293,f23294,f23295,f23296,f23297,f23298,f23299,f23300,f23301,f23302,f23303,f23304,f23305,f23306,f23307,f23308,f23309,f23310,f23311,f23312,f23313,f23314,f23315,f23316,f23317,f23318,f23319,f23320,f23321,f23322,f23323,f23324,f23325,f23326,f23327,f23328,f23329,f23330,f23331,f23332,f23333,f23334,f23335,f23336,f23337,f23338,f23339,f23340,f23341,f23342,f23343,f23344,f23345,f23346,f23347,f23348,f23349,f23350,f23351,f23352,f23353,f23354,f23355,f23356,f23357,f23358,f23359,f23360,f23361,f23362,f23363,f23364,f23365,f23366,f23367,f23368,f23369,f23370,f23371,f23372,f23373,f23374,f23375,f23376,f23377,f23378,f23379,f23380,f23381,f23382,f23383,f23384,f24401,f24468,f24551,f24557,f24559,f24561,f24563,f24565,f24567,f24569,f24571,f24573,f24575,f24577,f24579,f24581,f24583,f24591,f24593,f24595,f24597,f24599,f24607,f24609,f24611,f24614,f24616,f24618,f24620,f24622,f24624,f24626,f24628,f24630,f24632,f24634,f24636,f24638,f24640,f24642,f24644,f24646,f24648,f24650,f24652,f24654,f24656,f24658,f24660,f24662,f24664,f24666,f24668,f24670,f24672,f24674,f24676,f24678,f24680,f24682,f24684,f24686,f24688,f24690,f24692,f24694,f24696,f24698,f24700,f24702,f24704,f24707,f24710,f24713,f24715,f24717,f24719,f24721,f24723,f24725,f24727,f24729,f24731,f24733,f24735,f24737,f24739,f24741,f24743,f24745,f24747,f24749,f24751,f24753,f24755,f24757,f24759,f24761,f24763,f24765,f24767,f24769,f24771,f24774,f24777,f24779,f24781,f24783,f24785,f24787,f24789,f24791,f24794,f24796,f24798,f24800,f24802,f24804,f24806,f24808,f24810,f24812,f24814,f24816,f24818,f24820,f24822,f24824,f24826,f24828,f24830,f24832,f24834,f24836,f24839,f24842,f24845,f24848,f24851,f24854,f24857,f24860,f24863,f24866,f24868,f24870,f24872,f24874,f24876,f24878,f24880,f24882,f24884,f24886,f24888,f24890,f24892,f24894,f24896,f24898,f24900,f24902,f24904,f24906,f24908,f24910,f24912,f24914,f24916,f25003,f25382,f25508,f27629,f27996,f28648,f28789,f28998,f29098,f29102,f29213,f29314,f29336,f29499,f29603,f29828,f29936,f30430,f31555,f31921,f31925,f31959,f32068,f32072,f32125,f32281,f32331,f32384,f32388,f33008,f33062,f33283,f33444,f33448,f33452,f33456,f33460,f33464,f33468,f33472,f33476,f33480,f33484,f33488,f33492,f33496,f33500,f33504,f33508,f33512,f33516,f33520,f33524,f33528,f33532,f33536,f33598,f34879,f34967,f35167,f35171,f35259,f36007,f36103,f36107,f36172,f36366,f36985,f36989,f37249,f37411,f37415,f37419,f37423,f37585,f37636,f37640,f37644,f37677,f37763,f37767,f37772,f37776,f37781,f37799,f37817,f37821,f37830,f37834,f37838,f37848,f38540,f38545,f38557,f38621,f38625,f38629,f38698,f38702,f38776,f38780,f38921,f38925,f38929,f38941,f39755,f40171,f40436,f40584,f40722,f41316,f41709,f42062,f42066,f42294,f42298,f42502,f43149])). 56.32/7.42 fof(f43149,plain,( 56.32/7.42 spl94_52 | ~spl94_626), 56.32/7.42 inference(avatar_contradiction_clause,[],[f43102])). 56.32/7.42 fof(f43102,plain,( 56.32/7.42 $false | (spl94_52 | ~spl94_626)), 56.32/7.42 inference(unit_resulting_resolution,[],[f754,f42297,f866])). 56.32/7.42 fof(f866,plain,( 56.32/7.42 ( ! [X2,X3] : (~is_a_theorem(implies(X2,X3)) | is_a_theorem(strict_implies(X2,X3))) )), 56.32/7.42 inference(superposition,[],[f491,f467])). 56.32/7.42 fof(f467,plain,( 56.32/7.42 ( ! [X0,X1] : (necessarily(implies(X0,X1)) = strict_implies(X0,X1)) )), 56.32/7.42 inference(subsumption_resolution,[],[f354,f343])). 56.32/7.42 fof(f343,plain,( 56.32/7.42 op_strict_implies), 56.32/7.42 inference(cnf_transformation,[],[f89])). 56.32/7.42 fof(f89,axiom,( 56.32/7.42 op_strict_implies), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies)). 56.32/7.42 fof(f354,plain,( 56.32/7.42 ( ! [X0,X1] : (necessarily(implies(X0,X1)) = strict_implies(X0,X1) | ~op_strict_implies) )), 56.32/7.42 inference(cnf_transformation,[],[f109])). 56.32/7.42 fof(f109,plain,( 56.32/7.42 ! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(X0,X1) | ~op_strict_implies), 56.32/7.42 inference(ennf_transformation,[],[f76])). 56.32/7.42 fof(f76,axiom,( 56.32/7.42 op_strict_implies => ! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(X0,X1)), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_strict_implies)). 56.32/7.42 fof(f491,plain,( 56.32/7.42 ( ! [X0] : (is_a_theorem(necessarily(X0)) | ~is_a_theorem(X0)) )), 56.32/7.42 inference(subsumption_resolution,[],[f434,f323])). 56.32/7.42 fof(f323,plain,( 56.32/7.42 necessitation), 56.32/7.42 inference(cnf_transformation,[],[f81])). 56.32/7.42 fof(f81,axiom,( 56.32/7.42 necessitation), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',km4b_necessitation)). 56.32/7.42 fof(f434,plain,( 56.32/7.42 ( ! [X0] : (is_a_theorem(necessarily(X0)) | ~is_a_theorem(X0) | ~necessitation) )), 56.32/7.42 inference(cnf_transformation,[],[f259])). 56.32/7.42 fof(f259,plain,( 56.32/7.42 (! [X0] : (is_a_theorem(necessarily(X0)) | ~is_a_theorem(X0)) | ~necessitation) & (necessitation | (~is_a_theorem(necessarily(sK59)) & is_a_theorem(sK59)))), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f257,f258])). 56.32/7.42 fof(f258,plain,( 56.32/7.42 ? [X1] : (~is_a_theorem(necessarily(X1)) & is_a_theorem(X1)) => (~is_a_theorem(necessarily(sK59)) & is_a_theorem(sK59))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f257,plain,( 56.32/7.42 (! [X0] : (is_a_theorem(necessarily(X0)) | ~is_a_theorem(X0)) | ~necessitation) & (necessitation | ? [X1] : (~is_a_theorem(necessarily(X1)) & is_a_theorem(X1)))), 56.32/7.42 inference(rectify,[],[f256])). 56.32/7.42 fof(f256,plain,( 56.32/7.42 (! [X0] : (is_a_theorem(necessarily(X0)) | ~is_a_theorem(X0)) | ~necessitation) & (necessitation | ? [X0] : (~is_a_theorem(necessarily(X0)) & is_a_theorem(X0)))), 56.32/7.42 inference(nnf_transformation,[],[f121])). 56.32/7.42 fof(f121,plain,( 56.32/7.42 ! [X0] : (is_a_theorem(necessarily(X0)) | ~is_a_theorem(X0)) <=> necessitation), 56.32/7.42 inference(ennf_transformation,[],[f63])). 56.32/7.42 fof(f63,axiom,( 56.32/7.42 ! [X0] : (is_a_theorem(X0) => is_a_theorem(necessarily(X0))) <=> necessitation), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',necessitation)). 56.32/7.42 fof(f42297,plain,( 56.32/7.42 ( ! [X50,X51] : (is_a_theorem(implies(and(X51,X50),and(X50,X51)))) ) | ~spl94_626), 56.32/7.42 inference(avatar_component_clause,[],[f42296])). 56.32/7.42 fof(f42296,plain,( 56.32/7.42 spl94_626 <=> ! [X50,X51] : is_a_theorem(implies(and(X51,X50),and(X50,X51)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_626])])). 56.32/7.42 fof(f754,plain,( 56.32/7.42 ~is_a_theorem(strict_implies(and(sK70,sK71),and(sK71,sK70))) | spl94_52), 56.32/7.42 inference(avatar_component_clause,[],[f752])). 56.32/7.42 fof(f752,plain,( 56.32/7.42 spl94_52 <=> is_a_theorem(strict_implies(and(sK70,sK71),and(sK71,sK70)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_52])])). 56.32/7.42 fof(f42502,plain,( 56.32/7.42 spl94_627 | ~spl94_189 | ~spl94_583), 56.32/7.42 inference(avatar_split_clause,[],[f39273,f37583,f2281,f42500])). 56.32/7.42 fof(f42500,plain,( 56.32/7.42 spl94_627 <=> ! [X9,X10] : is_a_theorem(strict_equiv(equiv(X9,X10),equiv(X10,X9)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_627])])). 56.32/7.42 fof(f2281,plain,( 56.32/7.42 spl94_189 <=> ! [X0,X1] : (is_a_theorem(strict_equiv(X0,X1)) | ~is_a_theorem(strict_implies(X0,X1)) | ~is_a_theorem(strict_implies(X1,X0)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_189])])). 56.32/7.42 fof(f37583,plain,( 56.32/7.42 spl94_583 <=> ! [X6,X5] : is_a_theorem(strict_implies(equiv(X5,X6),equiv(X6,X5)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_583])])). 56.32/7.42 fof(f39273,plain,( 56.32/7.42 ( ! [X10,X9] : (is_a_theorem(strict_equiv(equiv(X9,X10),equiv(X10,X9)))) ) | (~spl94_189 | ~spl94_583)), 56.32/7.42 inference(subsumption_resolution,[],[f39237,f37584])). 56.32/7.42 fof(f37584,plain,( 56.32/7.42 ( ! [X6,X5] : (is_a_theorem(strict_implies(equiv(X5,X6),equiv(X6,X5)))) ) | ~spl94_583), 56.32/7.42 inference(avatar_component_clause,[],[f37583])). 56.32/7.42 fof(f39237,plain,( 56.32/7.42 ( ! [X10,X9] : (~is_a_theorem(strict_implies(equiv(X9,X10),equiv(X10,X9))) | is_a_theorem(strict_equiv(equiv(X9,X10),equiv(X10,X9)))) ) | (~spl94_189 | ~spl94_583)), 56.32/7.42 inference(resolution,[],[f37584,f2282])). 56.32/7.42 fof(f2282,plain,( 56.32/7.42 ( ! [X0,X1] : (~is_a_theorem(strict_implies(X1,X0)) | ~is_a_theorem(strict_implies(X0,X1)) | is_a_theorem(strict_equiv(X0,X1))) ) | ~spl94_189), 56.32/7.42 inference(avatar_component_clause,[],[f2281])). 56.32/7.42 fof(f42298,plain,( 56.32/7.42 spl94_626 | ~spl94_280 | ~spl94_550), 56.32/7.42 inference(avatar_split_clause,[],[f34728,f33474,f5571,f42296])). 56.32/7.42 fof(f5571,plain,( 56.32/7.42 spl94_280 <=> ! [X18] : implies(not(X18),X18) = X18), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_280])])). 56.32/7.42 fof(f33474,plain,( 56.32/7.42 spl94_550 <=> ! [X22,X21,X23] : is_a_theorem(implies(and(X21,implies(X22,X23)),and(implies(X22,X23),X21)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_550])])). 56.32/7.42 fof(f34728,plain,( 56.32/7.42 ( ! [X50,X51] : (is_a_theorem(implies(and(X51,X50),and(X50,X51)))) ) | (~spl94_280 | ~spl94_550)), 56.32/7.42 inference(superposition,[],[f33475,f5572])). 56.32/7.42 fof(f5572,plain,( 56.32/7.42 ( ! [X18] : (implies(not(X18),X18) = X18) ) | ~spl94_280), 56.32/7.42 inference(avatar_component_clause,[],[f5571])). 56.32/7.42 fof(f33475,plain,( 56.32/7.42 ( ! [X21,X22,X23] : (is_a_theorem(implies(and(X21,implies(X22,X23)),and(implies(X22,X23),X21)))) ) | ~spl94_550), 56.32/7.42 inference(avatar_component_clause,[],[f33474])). 56.32/7.42 fof(f42294,plain,( 56.32/7.42 ~spl94_625 | ~spl94_257 | spl94_265 | ~spl94_462), 56.32/7.42 inference(avatar_split_clause,[],[f27585,f17454,f4799,f4205,f42291])). 56.32/7.42 fof(f42291,plain,( 56.32/7.42 spl94_625 <=> is_a_theorem(strict_implies(and(sK32,sK30),and(sK31,sK32)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_625])])). 56.32/7.42 fof(f4205,plain,( 56.32/7.42 spl94_257 <=> ! [X2] : not(not(X2)) = X2), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_257])])). 56.32/7.42 fof(f4799,plain,( 56.32/7.42 spl94_265 <=> is_a_theorem(implies(implies(sK30,sK31),or(and(sK31,sK32),implies(sK32,not(sK30)))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_265])])). 56.32/7.42 fof(f17454,plain,( 56.32/7.42 spl94_462 <=> ! [X4,X5] : or(X4,X5) = or(X5,X4)), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_462])])). 56.32/7.42 fof(f27585,plain,( 56.32/7.42 ~is_a_theorem(strict_implies(and(sK32,sK30),and(sK31,sK32))) | (~spl94_257 | spl94_265 | ~spl94_462)), 56.32/7.42 inference(forward_demodulation,[],[f27584,f4206])). 56.32/7.42 fof(f4206,plain,( 56.32/7.42 ( ! [X2] : (not(not(X2)) = X2) ) | ~spl94_257), 56.32/7.42 inference(avatar_component_clause,[],[f4205])). 56.32/7.42 fof(f27584,plain,( 56.32/7.42 ~is_a_theorem(strict_implies(and(sK32,not(not(sK30))),and(sK31,sK32))) | (~spl94_257 | spl94_265 | ~spl94_462)), 56.32/7.42 inference(forward_demodulation,[],[f27583,f5187])). 56.32/7.42 fof(f5187,plain,( 56.32/7.42 ( ! [X2,X1] : (and(X1,not(X2)) = not(implies(X1,X2))) ) | ~spl94_257), 56.32/7.42 inference(superposition,[],[f4206,f468])). 56.32/7.42 fof(f468,plain,( 56.32/7.42 ( ! [X0,X1] : (implies(X0,X1) = not(and(X0,not(X1)))) )), 56.32/7.42 inference(subsumption_resolution,[],[f355,f342])). 56.32/7.42 fof(f342,plain,( 56.32/7.42 op_implies_and), 56.32/7.42 inference(cnf_transformation,[],[f39])). 56.32/7.42 fof(f39,axiom,( 56.32/7.42 op_implies_and), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and)). 56.32/7.42 fof(f355,plain,( 56.32/7.42 ( ! [X0,X1] : (implies(X0,X1) = not(and(X0,not(X1))) | ~op_implies_and) )), 56.32/7.42 inference(cnf_transformation,[],[f110])). 56.32/7.42 fof(f110,plain,( 56.32/7.42 ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) | ~op_implies_and), 56.32/7.42 inference(ennf_transformation,[],[f27])). 56.32/7.42 fof(f27,axiom,( 56.32/7.42 op_implies_and => ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_and)). 56.32/7.42 fof(f27583,plain,( 56.32/7.42 ~is_a_theorem(strict_implies(not(implies(sK32,not(sK30))),and(sK31,sK32))) | (spl94_265 | ~spl94_462)), 56.32/7.42 inference(forward_demodulation,[],[f27549,f17513])). 56.32/7.42 fof(f17513,plain,( 56.32/7.42 ( ! [X8,X9] : (strict_implies(not(X8),X9) = necessarily(or(X9,X8))) ) | ~spl94_462), 56.32/7.42 inference(superposition,[],[f1333,f17455])). 56.32/7.42 fof(f17455,plain,( 56.32/7.42 ( ! [X4,X5] : (or(X4,X5) = or(X5,X4)) ) | ~spl94_462), 56.32/7.42 inference(avatar_component_clause,[],[f17454])). 56.32/7.42 fof(f1333,plain,( 56.32/7.42 ( ! [X0,X1] : (necessarily(or(X0,X1)) = strict_implies(not(X0),X1)) )), 56.32/7.42 inference(superposition,[],[f467,f970])). 56.32/7.42 fof(f970,plain,( 56.32/7.42 ( ! [X2,X3] : (or(X2,X3) = implies(not(X2),X3)) )), 56.32/7.42 inference(superposition,[],[f471,f468])). 56.32/7.42 fof(f471,plain,( 56.32/7.42 ( ! [X0,X1] : (or(X0,X1) = not(and(not(X0),not(X1)))) )), 56.32/7.42 inference(subsumption_resolution,[],[f358,f348])). 56.32/7.42 fof(f348,plain,( 56.32/7.42 op_or), 56.32/7.42 inference(cnf_transformation,[],[f83])). 56.32/7.42 fof(f83,axiom,( 56.32/7.42 op_or), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_or)). 56.32/7.42 fof(f358,plain,( 56.32/7.42 ( ! [X0,X1] : (or(X0,X1) = not(and(not(X0),not(X1))) | ~op_or) )), 56.32/7.42 inference(cnf_transformation,[],[f113])). 56.32/7.42 fof(f113,plain,( 56.32/7.42 ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) | ~op_or), 56.32/7.42 inference(ennf_transformation,[],[f30])). 56.32/7.42 fof(f30,axiom,( 56.32/7.42 op_or => ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_or)). 56.32/7.42 fof(f27549,plain,( 56.32/7.42 ~is_a_theorem(necessarily(or(and(sK31,sK32),implies(sK32,not(sK30))))) | spl94_265), 56.32/7.42 inference(resolution,[],[f3267,f4801])). 56.32/7.42 fof(f4801,plain,( 56.32/7.42 ~is_a_theorem(implies(implies(sK30,sK31),or(and(sK31,sK32),implies(sK32,not(sK30))))) | spl94_265), 56.32/7.42 inference(avatar_component_clause,[],[f4799])). 56.32/7.42 fof(f3267,plain,( 56.32/7.42 ( ! [X4,X5] : (is_a_theorem(implies(X5,X4)) | ~is_a_theorem(necessarily(X4))) )), 56.32/7.42 inference(resolution,[],[f3203,f879])). 56.32/7.42 fof(f879,plain,( 56.32/7.42 ( ! [X0,X1] : (~is_a_theorem(strict_implies(X0,X1)) | is_a_theorem(implies(X0,X1))) )), 56.32/7.42 inference(superposition,[],[f876,f467])). 56.32/7.42 fof(f876,plain,( 56.32/7.42 ( ! [X15] : (~is_a_theorem(necessarily(X15)) | is_a_theorem(X15)) )), 56.32/7.42 inference(resolution,[],[f489,f479])). 56.32/7.42 fof(f479,plain,( 56.32/7.42 ( ! [X1] : (is_a_theorem(implies(necessarily(X1),X1))) )), 56.32/7.42 inference(subsumption_resolution,[],[f401,f324])). 56.32/7.42 fof(f324,plain,( 56.32/7.42 axiom_M), 56.32/7.42 inference(cnf_transformation,[],[f80])). 56.32/7.42 fof(f80,axiom,( 56.32/7.42 axiom_M), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',km4b_axiom_M)). 56.32/7.42 fof(f401,plain,( 56.32/7.42 ( ! [X1] : (is_a_theorem(implies(necessarily(X1),X1)) | ~axiom_M) )), 56.32/7.42 inference(cnf_transformation,[],[f203])). 56.32/7.42 fof(f203,plain,( 56.32/7.42 (axiom_M | ~is_a_theorem(implies(necessarily(sK36),sK36))) & (! [X1] : is_a_theorem(implies(necessarily(X1),X1)) | ~axiom_M)), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f201,f202])). 56.32/7.42 fof(f202,plain,( 56.32/7.42 ? [X0] : ~is_a_theorem(implies(necessarily(X0),X0)) => ~is_a_theorem(implies(necessarily(sK36),sK36))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f201,plain,( 56.32/7.42 (axiom_M | ? [X0] : ~is_a_theorem(implies(necessarily(X0),X0))) & (! [X1] : is_a_theorem(implies(necessarily(X1),X1)) | ~axiom_M)), 56.32/7.42 inference(rectify,[],[f200])). 56.32/7.42 fof(f200,plain,( 56.32/7.42 (axiom_M | ? [X0] : ~is_a_theorem(implies(necessarily(X0),X0))) & (! [X0] : is_a_theorem(implies(necessarily(X0),X0)) | ~axiom_M)), 56.32/7.42 inference(nnf_transformation,[],[f69])). 56.32/7.42 fof(f69,axiom,( 56.32/7.42 axiom_M <=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0))), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_M)). 56.32/7.42 fof(f489,plain,( 56.32/7.42 ( ! [X2,X3] : (~is_a_theorem(implies(X2,X3)) | is_a_theorem(X3) | ~is_a_theorem(X2)) )), 56.32/7.42 inference(subsumption_resolution,[],[f422,f333])). 56.32/7.42 fof(f333,plain,( 56.32/7.42 modus_ponens), 56.32/7.42 inference(cnf_transformation,[],[f41])). 56.32/7.42 fof(f41,axiom,( 56.32/7.42 modus_ponens), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_modus_ponens)). 56.32/7.42 fof(f422,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(X3) | ~is_a_theorem(implies(X2,X3)) | ~is_a_theorem(X2) | ~modus_ponens) )), 56.32/7.42 inference(cnf_transformation,[],[f243])). 56.32/7.42 fof(f243,plain,( 56.32/7.42 (modus_ponens | (~is_a_theorem(sK55) & is_a_theorem(implies(sK54,sK55)) & is_a_theorem(sK54))) & (! [X2,X3] : (is_a_theorem(X3) | ~is_a_theorem(implies(X2,X3)) | ~is_a_theorem(X2)) | ~modus_ponens)), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55])],[f241,f242])). 56.32/7.42 fof(f242,plain,( 56.32/7.42 ? [X0,X1] : (~is_a_theorem(X1) & is_a_theorem(implies(X0,X1)) & is_a_theorem(X0)) => (~is_a_theorem(sK55) & is_a_theorem(implies(sK54,sK55)) & is_a_theorem(sK54))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f241,plain,( 56.32/7.42 (modus_ponens | ? [X0,X1] : (~is_a_theorem(X1) & is_a_theorem(implies(X0,X1)) & is_a_theorem(X0))) & (! [X2,X3] : (is_a_theorem(X3) | ~is_a_theorem(implies(X2,X3)) | ~is_a_theorem(X2)) | ~modus_ponens)), 56.32/7.42 inference(rectify,[],[f240])). 56.32/7.42 fof(f240,plain,( 56.32/7.42 (modus_ponens | ? [X0,X1] : (~is_a_theorem(X1) & is_a_theorem(implies(X0,X1)) & is_a_theorem(X0))) & (! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0)) | ~modus_ponens)), 56.32/7.42 inference(nnf_transformation,[],[f120])). 56.32/7.42 fof(f120,plain,( 56.32/7.42 modus_ponens <=> ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0))), 56.32/7.42 inference(flattening,[],[f119])). 56.32/7.42 fof(f119,plain,( 56.32/7.42 modus_ponens <=> ! [X0,X1] : (is_a_theorem(X1) | (~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0)))), 56.32/7.42 inference(ennf_transformation,[],[f24])). 56.32/7.42 fof(f24,axiom,( 56.32/7.42 modus_ponens <=> ! [X0,X1] : ((is_a_theorem(implies(X0,X1)) & is_a_theorem(X0)) => is_a_theorem(X1))), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens)). 56.32/7.42 fof(f3203,plain,( 56.32/7.42 ( ! [X8,X7] : (is_a_theorem(strict_implies(X7,X8)) | ~is_a_theorem(necessarily(X8))) )), 56.32/7.42 inference(forward_demodulation,[],[f3187,f467])). 56.32/7.42 fof(f3187,plain,( 56.32/7.42 ( ! [X8,X7] : (is_a_theorem(necessarily(implies(X7,X8))) | ~is_a_theorem(necessarily(X8))) )), 56.32/7.42 inference(resolution,[],[f1576,f1079])). 56.32/7.42 fof(f1079,plain,( 56.32/7.42 ( ! [X3,X4] : (is_a_theorem(strict_implies(X3,implies(X4,X3)))) )), 56.32/7.42 inference(resolution,[],[f866,f493])). 56.32/7.42 fof(f493,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(X1,X0)))) )), 56.32/7.42 inference(subsumption_resolution,[],[f440,f328])). 56.32/7.42 fof(f328,plain,( 56.32/7.42 implies_1), 56.32/7.42 inference(cnf_transformation,[],[f48])). 56.32/7.42 fof(f48,axiom,( 56.32/7.42 implies_1), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_1)). 56.32/7.42 fof(f440,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(X1,X0))) | ~implies_1) )), 56.32/7.42 inference(cnf_transformation,[],[f271])). 56.32/7.42 fof(f271,plain,( 56.32/7.42 (! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) | ~implies_1) & (implies_1 | ~is_a_theorem(implies(sK64,implies(sK65,sK64))))), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK64,sK65])],[f269,f270])). 56.32/7.42 fof(f270,plain,( 56.32/7.42 ? [X2,X3] : ~is_a_theorem(implies(X2,implies(X3,X2))) => ~is_a_theorem(implies(sK64,implies(sK65,sK64)))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f269,plain,( 56.32/7.42 (! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) | ~implies_1) & (implies_1 | ? [X2,X3] : ~is_a_theorem(implies(X2,implies(X3,X2))))), 56.32/7.42 inference(rectify,[],[f268])). 56.32/7.42 fof(f268,plain,( 56.32/7.42 (! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) | ~implies_1) & (implies_1 | ? [X0,X1] : ~is_a_theorem(implies(X0,implies(X1,X0))))), 56.32/7.42 inference(nnf_transformation,[],[f25])). 56.32/7.42 fof(f25,axiom,( 56.32/7.42 ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) <=> implies_1), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_1)). 56.32/7.42 fof(f1576,plain,( 56.32/7.42 ( ! [X2,X3] : (~is_a_theorem(strict_implies(X2,X3)) | is_a_theorem(necessarily(X3)) | ~is_a_theorem(necessarily(X2))) )), 56.32/7.42 inference(resolution,[],[f1035,f489])). 56.32/7.42 fof(f1035,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(implies(necessarily(X0),necessarily(X1))) | ~is_a_theorem(strict_implies(X0,X1))) )), 56.32/7.42 inference(resolution,[],[f499,f489])). 56.32/7.42 fof(f499,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(implies(strict_implies(X0,X1),implies(necessarily(X0),necessarily(X1))))) )), 56.32/7.42 inference(forward_demodulation,[],[f498,f467])). 56.32/7.42 fof(f498,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))) )), 56.32/7.42 inference(subsumption_resolution,[],[f452,f322])). 56.32/7.42 fof(f322,plain,( 56.32/7.42 axiom_K), 56.32/7.42 inference(cnf_transformation,[],[f82])). 56.32/7.42 fof(f82,axiom,( 56.32/7.42 axiom_K), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',km4b_axiom_K)). 56.32/7.42 fof(f452,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) | ~axiom_K) )), 56.32/7.42 inference(cnf_transformation,[],[f295])). 56.32/7.42 fof(f295,plain,( 56.32/7.42 (! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) | ~axiom_K) & (axiom_K | ~is_a_theorem(implies(necessarily(implies(sK76,sK77)),implies(necessarily(sK76),necessarily(sK77)))))), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK76,sK77])],[f293,f294])). 56.32/7.42 fof(f294,plain,( 56.32/7.42 ? [X2,X3] : ~is_a_theorem(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))) => ~is_a_theorem(implies(necessarily(implies(sK76,sK77)),implies(necessarily(sK76),necessarily(sK77))))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f293,plain,( 56.32/7.42 (! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) | ~axiom_K) & (axiom_K | ? [X2,X3] : ~is_a_theorem(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))), 56.32/7.42 inference(rectify,[],[f292])). 56.32/7.42 fof(f292,plain,( 56.32/7.42 (! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) | ~axiom_K) & (axiom_K | ? [X0,X1] : ~is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))))), 56.32/7.42 inference(nnf_transformation,[],[f56])). 56.32/7.42 fof(f56,axiom,( 56.32/7.42 ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) <=> axiom_K), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_K)). 56.32/7.42 fof(f42066,plain,( 56.32/7.42 spl94_624 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_463), 56.32/7.42 inference(avatar_split_clause,[],[f20573,f19244,f5571,f4210,f4205,f2325,f42064])). 56.32/7.42 fof(f42064,plain,( 56.32/7.42 spl94_624 <=> ! [X13,X12] : is_a_theorem(implies(and(X12,implies(X12,X13)),X13))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_624])])). 56.32/7.42 fof(f2325,plain,( 56.32/7.42 spl94_191 <=> ! [X1] : and(X1,X1) = X1), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_191])])). 56.32/7.42 fof(f4210,plain,( 56.32/7.42 spl94_258 <=> ! [X29] : or(X29,X29) = X29), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_258])])). 56.32/7.42 fof(f19244,plain,( 56.32/7.42 spl94_463 <=> ! [X4,X2,X3] : not(and(not(X4),implies(X2,X3))) = implies(implies(X2,X3),X4)), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_463])])). 56.32/7.42 fof(f20573,plain,( 56.32/7.42 ( ! [X12,X13] : (is_a_theorem(implies(and(X12,implies(X12,X13)),X13))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_463)), 56.32/7.42 inference(forward_demodulation,[],[f20554,f19323])). 56.32/7.42 fof(f19323,plain,( 56.32/7.42 ( ! [X28,X27] : (implies(X27,X28) = or(X28,not(X27))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463)), 56.32/7.42 inference(backward_demodulation,[],[f4554,f19266])). 56.32/7.42 fof(f19266,plain,( 56.32/7.42 ( ! [X19,X20] : (implies(X19,X20) = not(and(not(X20),X19))) ) | (~spl94_280 | ~spl94_463)), 56.32/7.42 inference(superposition,[],[f19245,f5572])). 56.32/7.42 fof(f19245,plain,( 56.32/7.42 ( ! [X2,X3,X4] : (not(and(not(X4),implies(X2,X3))) = implies(implies(X2,X3),X4)) ) | ~spl94_463), 56.32/7.42 inference(avatar_component_clause,[],[f19244])). 56.32/7.42 fof(f4554,plain,( 56.32/7.42 ( ! [X28,X27] : (or(X28,not(X27)) = not(and(not(X28),X27))) ) | (~spl94_191 | ~spl94_258)), 56.32/7.42 inference(forward_demodulation,[],[f4526,f4211])). 56.32/7.42 fof(f4211,plain,( 56.32/7.42 ( ! [X29] : (or(X29,X29) = X29) ) | ~spl94_258), 56.32/7.42 inference(avatar_component_clause,[],[f4210])). 56.32/7.42 fof(f4526,plain,( 56.32/7.42 ( ! [X28,X27] : (or(X28,not(X27)) = not(and(not(X28),or(X27,X27)))) ) | ~spl94_191), 56.32/7.42 inference(superposition,[],[f969,f2326])). 56.32/7.42 fof(f2326,plain,( 56.32/7.42 ( ! [X1] : (and(X1,X1) = X1) ) | ~spl94_191), 56.32/7.42 inference(avatar_component_clause,[],[f2325])). 56.32/7.42 fof(f969,plain,( 56.32/7.42 ( ! [X6,X7,X5] : (or(X7,and(not(X5),not(X6))) = not(and(not(X7),or(X5,X6)))) )), 56.32/7.42 inference(superposition,[],[f471,f471])). 56.32/7.42 fof(f20554,plain,( 56.32/7.42 ( ! [X12,X13] : (is_a_theorem(implies(and(X12,or(X13,not(X12))),X13))) ) | ~spl94_257), 56.32/7.42 inference(superposition,[],[f3223,f4206])). 56.32/7.42 fof(f3223,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(implies(and(not(X0),or(X1,X0)),X1))) )), 56.32/7.42 inference(resolution,[],[f1976,f1004])). 56.32/7.42 fof(f1004,plain,( 56.32/7.42 ( ! [X0,X1] : (~is_a_theorem(or(X1,not(X0))) | is_a_theorem(implies(X0,X1))) )), 56.32/7.42 inference(resolution,[],[f979,f489])). 56.32/7.42 fof(f979,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(implies(or(X3,not(X2)),implies(X2,X3)))) )), 56.32/7.42 inference(backward_demodulation,[],[f486,f970])). 56.32/7.42 fof(f486,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(implies(implies(not(X3),not(X2)),implies(X2,X3)))) )), 56.32/7.42 inference(subsumption_resolution,[],[f415,f341])). 56.32/7.42 fof(f341,plain,( 56.32/7.42 modus_tollens), 56.32/7.42 inference(cnf_transformation,[],[f45])). 56.32/7.42 fof(f45,axiom,( 56.32/7.42 modus_tollens), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_modus_tollens)). 56.32/7.42 fof(f415,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(implies(implies(not(X3),not(X2)),implies(X2,X3))) | ~modus_tollens) )), 56.32/7.42 inference(cnf_transformation,[],[f231])). 56.32/7.42 fof(f231,plain,( 56.32/7.42 (modus_tollens | ~is_a_theorem(implies(implies(not(sK49),not(sK48)),implies(sK48,sK49)))) & (! [X2,X3] : is_a_theorem(implies(implies(not(X3),not(X2)),implies(X2,X3))) | ~modus_tollens)), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49])],[f229,f230])). 56.32/7.42 fof(f230,plain,( 56.32/7.42 ? [X0,X1] : ~is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) => ~is_a_theorem(implies(implies(not(sK49),not(sK48)),implies(sK48,sK49)))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f229,plain,( 56.32/7.42 (modus_tollens | ? [X0,X1] : ~is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))) & (! [X2,X3] : is_a_theorem(implies(implies(not(X3),not(X2)),implies(X2,X3))) | ~modus_tollens)), 56.32/7.42 inference(rectify,[],[f228])). 56.32/7.42 fof(f228,plain,( 56.32/7.42 (modus_tollens | ? [X0,X1] : ~is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))) & (! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) | ~modus_tollens)), 56.32/7.42 inference(nnf_transformation,[],[f2])). 56.32/7.42 fof(f2,axiom,( 56.32/7.42 modus_tollens <=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_tollens)). 56.32/7.42 fof(f1976,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(or(X3,not(and(not(X2),or(X3,X2)))))) )), 56.32/7.42 inference(forward_demodulation,[],[f1927,f970])). 56.32/7.42 fof(f1927,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(implies(not(X3),not(and(not(X2),or(X3,X2)))))) )), 56.32/7.42 inference(superposition,[],[f484,f972])). 56.32/7.42 fof(f972,plain,( 56.32/7.42 ( ! [X2,X3,X4] : (implies(X4,and(not(X2),not(X3))) = not(and(X4,or(X2,X3)))) )), 56.32/7.42 inference(superposition,[],[f468,f471])). 56.32/7.42 fof(f484,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(implies(X2,implies(X3,and(X2,X3))))) )), 56.32/7.42 inference(subsumption_resolution,[],[f411,f334])). 56.32/7.42 fof(f334,plain,( 56.32/7.42 and_3), 56.32/7.42 inference(cnf_transformation,[],[f40])). 56.32/7.42 fof(f40,axiom,( 56.32/7.42 and_3), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_3)). 56.32/7.42 fof(f411,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(implies(X2,implies(X3,and(X2,X3)))) | ~and_3) )), 56.32/7.42 inference(cnf_transformation,[],[f223])). 56.32/7.42 fof(f223,plain,( 56.32/7.42 (and_3 | ~is_a_theorem(implies(sK44,implies(sK45,and(sK44,sK45))))) & (! [X2,X3] : is_a_theorem(implies(X2,implies(X3,and(X2,X3)))) | ~and_3)), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45])],[f221,f222])). 56.32/7.42 fof(f222,plain,( 56.32/7.42 ? [X0,X1] : ~is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) => ~is_a_theorem(implies(sK44,implies(sK45,and(sK44,sK45))))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f221,plain,( 56.32/7.42 (and_3 | ? [X0,X1] : ~is_a_theorem(implies(X0,implies(X1,and(X0,X1))))) & (! [X2,X3] : is_a_theorem(implies(X2,implies(X3,and(X2,X3)))) | ~and_3)), 56.32/7.42 inference(rectify,[],[f220])). 56.32/7.42 fof(f220,plain,( 56.32/7.42 (and_3 | ? [X0,X1] : ~is_a_theorem(implies(X0,implies(X1,and(X0,X1))))) & (! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) | ~and_3)), 56.32/7.42 inference(nnf_transformation,[],[f5])). 56.32/7.42 fof(f5,axiom,( 56.32/7.42 and_3 <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_3)). 56.32/7.42 fof(f42062,plain,( 56.32/7.42 spl94_623 | ~spl94_189), 56.32/7.42 inference(avatar_split_clause,[],[f2590,f2281,f42060])). 56.32/7.42 fof(f42060,plain,( 56.32/7.42 spl94_623 <=> ! [X0,X1] : (~is_a_theorem(or(X0,X1)) | ~is_a_theorem(strict_implies(X1,not(X0))) | is_a_theorem(strict_equiv(X1,not(X0))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_623])])). 56.32/7.42 fof(f2590,plain,( 56.32/7.42 ( ! [X0,X1] : (~is_a_theorem(or(X0,X1)) | ~is_a_theorem(strict_implies(X1,not(X0))) | is_a_theorem(strict_equiv(X1,not(X0)))) ) | ~spl94_189), 56.32/7.42 inference(resolution,[],[f1348,f2282])). 56.32/7.42 fof(f1348,plain,( 56.32/7.42 ( ! [X36,X35] : (is_a_theorem(strict_implies(not(X35),X36)) | ~is_a_theorem(or(X35,X36))) )), 56.32/7.42 inference(superposition,[],[f866,f970])). 56.32/7.42 fof(f41709,plain,( 56.32/7.42 spl94_622 | ~spl94_257 | ~spl94_312), 56.32/7.42 inference(avatar_split_clause,[],[f9192,f6140,f4205,f41707])). 56.32/7.42 fof(f41707,plain,( 56.32/7.42 spl94_622 <=> ! [X20,X19] : (~is_a_theorem(not(possibly(X19))) | is_a_theorem(strict_implies(X19,X20)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_622])])). 56.32/7.42 fof(f6140,plain,( 56.32/7.42 spl94_312 <=> ! [X0] : not(possibly(X0)) = necessarily(not(X0))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_312])])). 56.32/7.42 fof(f9192,plain,( 56.32/7.42 ( ! [X19,X20] : (~is_a_theorem(not(possibly(X19))) | is_a_theorem(strict_implies(X19,X20))) ) | (~spl94_257 | ~spl94_312)), 56.32/7.42 inference(forward_demodulation,[],[f9187,f6141])). 56.32/7.42 fof(f6141,plain,( 56.32/7.42 ( ! [X0] : (not(possibly(X0)) = necessarily(not(X0))) ) | ~spl94_312), 56.32/7.42 inference(avatar_component_clause,[],[f6140])). 56.32/7.42 fof(f9187,plain,( 56.32/7.42 ( ! [X19,X20] : (is_a_theorem(strict_implies(X19,X20)) | ~is_a_theorem(necessarily(not(X19)))) ) | ~spl94_257), 56.32/7.42 inference(superposition,[],[f3206,f4206])). 56.32/7.42 fof(f3206,plain,( 56.32/7.42 ( ! [X14,X15] : (is_a_theorem(strict_implies(not(X14),X15)) | ~is_a_theorem(necessarily(X14))) )), 56.32/7.42 inference(forward_demodulation,[],[f3191,f1333])). 56.32/7.42 fof(f3191,plain,( 56.32/7.42 ( ! [X14,X15] : (is_a_theorem(necessarily(or(X14,X15))) | ~is_a_theorem(necessarily(X14))) )), 56.32/7.42 inference(resolution,[],[f1576,f1082])). 56.32/7.42 fof(f1082,plain,( 56.32/7.42 ( ! [X10,X9] : (is_a_theorem(strict_implies(X9,or(X9,X10)))) )), 56.32/7.42 inference(resolution,[],[f866,f482])). 56.32/7.42 fof(f482,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(implies(X2,or(X2,X3)))) )), 56.32/7.42 inference(subsumption_resolution,[],[f407,f336])). 56.32/7.42 fof(f336,plain,( 56.32/7.42 or_1), 56.32/7.42 inference(cnf_transformation,[],[f36])). 56.32/7.42 fof(f36,axiom,( 56.32/7.42 or_1), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_1)). 56.32/7.42 fof(f407,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(implies(X2,or(X2,X3))) | ~or_1) )), 56.32/7.42 inference(cnf_transformation,[],[f215])). 56.32/7.42 fof(f215,plain,( 56.32/7.42 (or_1 | ~is_a_theorem(implies(sK40,or(sK40,sK41)))) & (! [X2,X3] : is_a_theorem(implies(X2,or(X2,X3))) | ~or_1)), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41])],[f213,f214])). 56.32/7.42 fof(f214,plain,( 56.32/7.42 ? [X0,X1] : ~is_a_theorem(implies(X0,or(X0,X1))) => ~is_a_theorem(implies(sK40,or(sK40,sK41)))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f213,plain,( 56.32/7.42 (or_1 | ? [X0,X1] : ~is_a_theorem(implies(X0,or(X0,X1)))) & (! [X2,X3] : is_a_theorem(implies(X2,or(X2,X3))) | ~or_1)), 56.32/7.42 inference(rectify,[],[f212])). 56.32/7.42 fof(f212,plain,( 56.32/7.42 (or_1 | ? [X0,X1] : ~is_a_theorem(implies(X0,or(X0,X1)))) & (! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) | ~or_1)), 56.32/7.42 inference(nnf_transformation,[],[f9])). 56.32/7.42 fof(f9,axiom,( 56.32/7.42 or_1 <=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1)). 56.32/7.42 fof(f41316,plain,( 56.32/7.42 ~spl94_621 | spl94_130), 56.32/7.42 inference(avatar_split_clause,[],[f5837,f1240,f41313])). 56.32/7.42 fof(f41313,plain,( 56.32/7.42 spl94_621 <=> is_a_theorem(strict_implies(or(sK82,sK83),or(sK82,sK84)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_621])])). 56.32/7.42 fof(f1240,plain,( 56.32/7.42 spl94_130 <=> is_a_theorem(implies(implies(sK83,sK84),implies(or(sK82,sK83),or(sK82,sK84))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_130])])). 56.32/7.42 fof(f5837,plain,( 56.32/7.42 ~is_a_theorem(strict_implies(or(sK82,sK83),or(sK82,sK84))) | spl94_130), 56.32/7.42 inference(forward_demodulation,[],[f5823,f467])). 56.32/7.42 fof(f5823,plain,( 56.32/7.42 ~is_a_theorem(necessarily(implies(or(sK82,sK83),or(sK82,sK84)))) | spl94_130), 56.32/7.42 inference(resolution,[],[f3267,f1242])). 56.32/7.42 fof(f1242,plain,( 56.32/7.42 ~is_a_theorem(implies(implies(sK83,sK84),implies(or(sK82,sK83),or(sK82,sK84)))) | spl94_130), 56.32/7.42 inference(avatar_component_clause,[],[f1240])). 56.32/7.42 fof(f40722,plain,( 56.32/7.42 ~spl94_620 | spl94_588), 56.32/7.42 inference(avatar_split_clause,[],[f40126,f37760,f40719])). 56.32/7.42 fof(f40719,plain,( 56.32/7.42 spl94_620 <=> is_a_theorem(implies(implies(sK83,sK84),sK84))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_620])])). 56.32/7.42 fof(f37760,plain,( 56.32/7.42 spl94_588 <=> is_a_theorem(implies(implies(sK83,sK84),or(sK82,sK84)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_588])])). 56.32/7.42 fof(f40126,plain,( 56.32/7.42 ~is_a_theorem(implies(implies(sK83,sK84),sK84)) | spl94_588), 56.32/7.42 inference(resolution,[],[f37762,f3947])). 56.32/7.42 fof(f3947,plain,( 56.32/7.42 ( ! [X24,X25,X23] : (is_a_theorem(implies(X23,or(X24,X25))) | ~is_a_theorem(implies(X23,X25))) )), 56.32/7.42 inference(resolution,[],[f1739,f481])). 56.32/7.42 fof(f481,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(implies(X3,or(X2,X3)))) )), 56.32/7.42 inference(subsumption_resolution,[],[f405,f332])). 56.32/7.42 fof(f332,plain,( 56.32/7.42 or_2), 56.32/7.42 inference(cnf_transformation,[],[f42])). 56.32/7.42 fof(f42,axiom,( 56.32/7.42 or_2), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_2)). 56.32/7.42 fof(f405,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(implies(X3,or(X2,X3))) | ~or_2) )), 56.32/7.42 inference(cnf_transformation,[],[f211])). 56.32/7.42 fof(f211,plain,( 56.32/7.42 (or_2 | ~is_a_theorem(implies(sK39,or(sK38,sK39)))) & (! [X2,X3] : is_a_theorem(implies(X3,or(X2,X3))) | ~or_2)), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39])],[f209,f210])). 56.32/7.42 fof(f210,plain,( 56.32/7.42 ? [X0,X1] : ~is_a_theorem(implies(X1,or(X0,X1))) => ~is_a_theorem(implies(sK39,or(sK38,sK39)))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f209,plain,( 56.32/7.42 (or_2 | ? [X0,X1] : ~is_a_theorem(implies(X1,or(X0,X1)))) & (! [X2,X3] : is_a_theorem(implies(X3,or(X2,X3))) | ~or_2)), 56.32/7.42 inference(rectify,[],[f208])). 56.32/7.42 fof(f208,plain,( 56.32/7.42 (or_2 | ? [X0,X1] : ~is_a_theorem(implies(X1,or(X0,X1)))) & (! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) | ~or_2)), 56.32/7.42 inference(nnf_transformation,[],[f16])). 56.32/7.42 fof(f16,axiom,( 56.32/7.42 or_2 <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_2)). 56.32/7.42 fof(f1739,plain,( 56.32/7.42 ( ! [X6,X7,X5] : (~is_a_theorem(implies(X6,X7)) | is_a_theorem(implies(X5,X7)) | ~is_a_theorem(implies(X5,X6))) )), 56.32/7.42 inference(resolution,[],[f1151,f489])). 56.32/7.42 fof(f1151,plain,( 56.32/7.42 ( ! [X3,X4,X5] : (is_a_theorem(implies(implies(X3,X4),implies(X5,X4))) | ~is_a_theorem(implies(X5,X3))) )), 56.32/7.42 inference(resolution,[],[f500,f489])). 56.32/7.42 fof(f500,plain,( 56.32/7.42 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))) )), 56.32/7.42 inference(subsumption_resolution,[],[f464,f338])). 56.32/7.42 fof(f338,plain,( 56.32/7.42 implies_3), 56.32/7.42 inference(cnf_transformation,[],[f34])). 56.32/7.42 fof(f34,axiom,( 56.32/7.42 implies_3), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_3)). 56.32/7.42 fof(f464,plain,( 56.32/7.42 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) | ~implies_3) )), 56.32/7.42 inference(cnf_transformation,[],[f315])). 56.32/7.42 fof(f315,plain,( 56.32/7.42 (! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) | ~implies_3) & (implies_3 | ~is_a_theorem(implies(implies(sK88,sK89),implies(implies(sK89,sK90),implies(sK88,sK90)))))), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK88,sK89,sK90])],[f313,f314])). 56.32/7.42 fof(f314,plain,( 56.32/7.42 ? [X3,X4,X5] : ~is_a_theorem(implies(implies(X3,X4),implies(implies(X4,X5),implies(X3,X5)))) => ~is_a_theorem(implies(implies(sK88,sK89),implies(implies(sK89,sK90),implies(sK88,sK90))))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f313,plain,( 56.32/7.42 (! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) | ~implies_3) & (implies_3 | ? [X3,X4,X5] : ~is_a_theorem(implies(implies(X3,X4),implies(implies(X4,X5),implies(X3,X5)))))), 56.32/7.42 inference(rectify,[],[f312])). 56.32/7.42 fof(f312,plain,( 56.32/7.42 (! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) | ~implies_3) & (implies_3 | ? [X0,X1,X2] : ~is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))), 56.32/7.42 inference(nnf_transformation,[],[f26])). 56.32/7.42 fof(f26,axiom,( 56.32/7.42 ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) <=> implies_3), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_3)). 56.32/7.42 fof(f37762,plain,( 56.32/7.42 ~is_a_theorem(implies(implies(sK83,sK84),or(sK82,sK84))) | spl94_588), 56.32/7.42 inference(avatar_component_clause,[],[f37760])). 56.32/7.42 fof(f40584,plain,( 56.32/7.42 ~spl94_619 | spl94_588), 56.32/7.42 inference(avatar_split_clause,[],[f40125,f37760,f40581])). 56.32/7.42 fof(f40581,plain,( 56.32/7.42 spl94_619 <=> is_a_theorem(implies(implies(sK83,sK84),sK82))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_619])])). 56.32/7.42 fof(f40125,plain,( 56.32/7.42 ~is_a_theorem(implies(implies(sK83,sK84),sK82)) | spl94_588), 56.32/7.42 inference(resolution,[],[f37762,f3949])). 56.32/7.42 fof(f3949,plain,( 56.32/7.42 ( ! [X31,X29,X30] : (is_a_theorem(implies(X29,or(X30,X31))) | ~is_a_theorem(implies(X29,X30))) )), 56.32/7.42 inference(resolution,[],[f1739,f482])). 56.32/7.42 fof(f40436,plain,( 56.32/7.42 ~spl94_618 | spl94_617), 56.32/7.42 inference(avatar_split_clause,[],[f40172,f40168,f40433])). 56.32/7.42 fof(f40433,plain,( 56.32/7.42 spl94_618 <=> is_a_theorem(necessarily(sK83))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_618])])). 56.32/7.42 fof(f40168,plain,( 56.32/7.42 spl94_617 <=> is_a_theorem(or(sK82,sK83))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_617])])). 56.32/7.42 fof(f40172,plain,( 56.32/7.42 ~is_a_theorem(necessarily(sK83)) | spl94_617), 56.32/7.42 inference(resolution,[],[f40170,f5833])). 56.32/7.42 fof(f5833,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(or(X0,X1)) | ~is_a_theorem(necessarily(X1))) )), 56.32/7.42 inference(superposition,[],[f3267,f970])). 56.32/7.42 fof(f40170,plain,( 56.32/7.42 ~is_a_theorem(or(sK82,sK83)) | spl94_617), 56.32/7.42 inference(avatar_component_clause,[],[f40168])). 56.32/7.42 fof(f40171,plain,( 56.32/7.42 ~spl94_617 | ~spl94_462 | ~spl94_511 | spl94_588), 56.32/7.42 inference(avatar_split_clause,[],[f40130,f37760,f25380,f17454,f40168])). 56.32/7.42 fof(f25380,plain,( 56.32/7.42 spl94_511 <=> ! [X2,X0,X1] : (~is_a_theorem(or(X2,X0)) | is_a_theorem(implies(implies(X2,X1),or(X0,X1))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_511])])). 56.32/7.42 fof(f40130,plain,( 56.32/7.42 ~is_a_theorem(or(sK82,sK83)) | (~spl94_462 | ~spl94_511 | spl94_588)), 56.32/7.42 inference(forward_demodulation,[],[f40122,f17455])). 56.32/7.42 fof(f40122,plain,( 56.32/7.42 ~is_a_theorem(or(sK83,sK82)) | (~spl94_511 | spl94_588)), 56.32/7.42 inference(resolution,[],[f37762,f25381])). 56.32/7.42 fof(f25381,plain,( 56.32/7.42 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X2,X1),or(X0,X1))) | ~is_a_theorem(or(X2,X0))) ) | ~spl94_511), 56.32/7.42 inference(avatar_component_clause,[],[f25380])). 56.32/7.42 fof(f39755,plain,( 56.32/7.42 spl94_616 | ~spl94_585), 56.32/7.42 inference(avatar_split_clause,[],[f39497,f37638,f39753])). 56.32/7.42 fof(f39753,plain,( 56.32/7.42 spl94_616 <=> ! [X6,X7] : equiv(X6,X7) = equiv(X7,X6)), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_616])])). 56.32/7.42 fof(f37638,plain,( 56.32/7.42 spl94_585 <=> ! [X4,X3] : is_a_theorem(equiv(equiv(X3,X4),equiv(X4,X3)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_585])])). 56.32/7.42 fof(f39497,plain,( 56.32/7.42 ( ! [X6,X7] : (equiv(X6,X7) = equiv(X7,X6)) ) | ~spl94_585), 56.32/7.42 inference(resolution,[],[f37639,f488])). 56.32/7.42 fof(f488,plain,( 56.32/7.42 ( ! [X2,X3] : (~is_a_theorem(equiv(X2,X3)) | X2 = X3) )), 56.32/7.42 inference(subsumption_resolution,[],[f419,f327])). 56.32/7.42 fof(f327,plain,( 56.32/7.42 substitution_of_equivalents), 56.32/7.42 inference(cnf_transformation,[],[f49])). 56.32/7.42 fof(f49,axiom,( 56.32/7.42 substitution_of_equivalents), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution_of_equivalents)). 56.32/7.42 fof(f419,plain,( 56.32/7.42 ( ! [X2,X3] : (X2 = X3 | ~is_a_theorem(equiv(X2,X3)) | ~substitution_of_equivalents) )), 56.32/7.42 inference(cnf_transformation,[],[f239])). 56.32/7.42 fof(f239,plain,( 56.32/7.42 (substitution_of_equivalents | (sK52 != sK53 & is_a_theorem(equiv(sK52,sK53)))) & (! [X2,X3] : (X2 = X3 | ~is_a_theorem(equiv(X2,X3))) | ~substitution_of_equivalents)), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK52,sK53])],[f237,f238])). 56.32/7.42 fof(f238,plain,( 56.32/7.42 ? [X0,X1] : (X0 != X1 & is_a_theorem(equiv(X0,X1))) => (sK52 != sK53 & is_a_theorem(equiv(sK52,sK53)))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f237,plain,( 56.32/7.42 (substitution_of_equivalents | ? [X0,X1] : (X0 != X1 & is_a_theorem(equiv(X0,X1)))) & (! [X2,X3] : (X2 = X3 | ~is_a_theorem(equiv(X2,X3))) | ~substitution_of_equivalents)), 56.32/7.42 inference(rectify,[],[f236])). 56.32/7.42 fof(f236,plain,( 56.32/7.42 (substitution_of_equivalents | ? [X0,X1] : (X0 != X1 & is_a_theorem(equiv(X0,X1)))) & (! [X0,X1] : (X0 = X1 | ~is_a_theorem(equiv(X0,X1))) | ~substitution_of_equivalents)), 56.32/7.42 inference(nnf_transformation,[],[f118])). 56.32/7.42 fof(f118,plain,( 56.32/7.42 substitution_of_equivalents <=> ! [X0,X1] : (X0 = X1 | ~is_a_theorem(equiv(X0,X1)))), 56.32/7.42 inference(ennf_transformation,[],[f13])). 56.32/7.42 fof(f13,axiom,( 56.32/7.42 substitution_of_equivalents <=> ! [X0,X1] : (is_a_theorem(equiv(X0,X1)) => X0 = X1)), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution_of_equivalents)). 56.32/7.42 fof(f37639,plain,( 56.32/7.42 ( ! [X3,X4] : (is_a_theorem(equiv(equiv(X3,X4),equiv(X4,X3)))) ) | ~spl94_585), 56.32/7.42 inference(avatar_component_clause,[],[f37638])). 56.32/7.42 fof(f38941,plain,( 56.32/7.42 spl94_615 | ~spl94_257 | ~spl94_613), 56.32/7.42 inference(avatar_split_clause,[],[f38933,f38923,f4205,f38939])). 56.32/7.42 fof(f38939,plain,( 56.32/7.42 spl94_615 <=> ! [X9] : ~is_a_theorem(strict_equiv(X9,not(X9)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_615])])). 56.32/7.42 fof(f38923,plain,( 56.32/7.42 spl94_613 <=> ! [X18] : ~is_a_theorem(strict_equiv(not(X18),X18))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_613])])). 56.32/7.42 fof(f38933,plain,( 56.32/7.42 ( ! [X9] : (~is_a_theorem(strict_equiv(X9,not(X9)))) ) | (~spl94_257 | ~spl94_613)), 56.32/7.42 inference(superposition,[],[f38924,f4206])). 56.32/7.42 fof(f38924,plain,( 56.32/7.42 ( ! [X18] : (~is_a_theorem(strict_equiv(not(X18),X18))) ) | ~spl94_613), 56.32/7.42 inference(avatar_component_clause,[],[f38923])). 56.32/7.42 fof(f38929,plain,( 56.32/7.42 spl94_614 | ~spl94_469), 56.32/7.42 inference(avatar_split_clause,[],[f20230,f20067,f38927])). 56.32/7.42 fof(f38927,plain,( 56.32/7.42 spl94_614 <=> ! [X0,X1] : not(equiv(X0,X1)) = implies(implies(X1,X0),and(X0,not(X1)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_614])])). 56.32/7.42 fof(f20067,plain,( 56.32/7.42 spl94_469 <=> ! [X0,X3,X2,X1] : implies(implies(X2,X3),and(X0,not(X1))) = not(and(implies(X0,X1),implies(X2,X3)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_469])])). 56.32/7.42 fof(f20230,plain,( 56.32/7.42 ( ! [X0,X1] : (not(equiv(X0,X1)) = implies(implies(X1,X0),and(X0,not(X1)))) ) | ~spl94_469), 56.32/7.42 inference(superposition,[],[f20068,f472])). 56.32/7.42 fof(f472,plain,( 56.32/7.42 ( ! [X0,X1] : (equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))) )), 56.32/7.42 inference(subsumption_resolution,[],[f359,f346])). 56.32/7.42 fof(f346,plain,( 56.32/7.42 op_equiv), 56.32/7.42 inference(cnf_transformation,[],[f90])). 56.32/7.42 fof(f90,axiom,( 56.32/7.42 op_equiv), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_equiv)). 56.32/7.42 fof(f359,plain,( 56.32/7.42 ( ! [X0,X1] : (equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) | ~op_equiv) )), 56.32/7.42 inference(cnf_transformation,[],[f114])). 56.32/7.42 fof(f114,plain,( 56.32/7.42 ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) | ~op_equiv), 56.32/7.42 inference(ennf_transformation,[],[f29])). 56.32/7.42 fof(f29,axiom,( 56.32/7.42 op_equiv => ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_equiv)). 56.32/7.42 fof(f20068,plain,( 56.32/7.42 ( ! [X2,X3,X0,X1] : (implies(implies(X2,X3),and(X0,not(X1))) = not(and(implies(X0,X1),implies(X2,X3)))) ) | ~spl94_469), 56.32/7.42 inference(avatar_component_clause,[],[f20067])). 56.32/7.42 fof(f38925,plain,( 56.32/7.42 spl94_180 | spl94_613 | ~spl94_257 | ~spl94_312 | ~spl94_314 | ~spl94_397 | ~spl94_611), 56.32/7.42 inference(avatar_split_clause,[],[f38866,f38778,f10517,f6162,f6140,f4205,f38923,f2211])). 56.32/7.42 fof(f2211,plain,( 56.32/7.42 spl94_180 <=> ! [X3] : is_a_theorem(X3)), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_180])])). 56.32/7.42 fof(f6162,plain,( 56.32/7.42 spl94_314 <=> ! [X10] : necessarily(X10) = strict_implies(not(X10),X10)), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_314])])). 56.32/7.42 fof(f10517,plain,( 56.32/7.42 spl94_397 <=> ! [X32] : implies(sK80,X32) = X32), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_397])])). 56.32/7.42 fof(f38778,plain,( 56.32/7.42 spl94_611 <=> ! [X11] : sK80 = implies(necessarily(X11),possibly(X11))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_611])])). 56.32/7.42 fof(f38866,plain,( 56.32/7.42 ( ! [X18,X19] : (~is_a_theorem(strict_equiv(not(X18),X18)) | is_a_theorem(X19)) ) | (~spl94_257 | ~spl94_312 | ~spl94_314 | ~spl94_397 | ~spl94_611)), 56.32/7.42 inference(forward_demodulation,[],[f38865,f6906])). 56.32/7.42 fof(f6906,plain,( 56.32/7.42 ( ! [X2] : (strict_equiv(not(X2),X2) = and(necessarily(X2),not(possibly(X2)))) ) | (~spl94_257 | ~spl94_312 | ~spl94_314)), 56.32/7.42 inference(forward_demodulation,[],[f6869,f6901])). 56.32/7.42 fof(f6901,plain,( 56.32/7.42 ( ! [X0] : (not(possibly(X0)) = strict_implies(X0,not(X0))) ) | (~spl94_257 | ~spl94_312 | ~spl94_314)), 56.32/7.42 inference(forward_demodulation,[],[f6862,f6141])). 56.32/7.42 fof(f6862,plain,( 56.32/7.42 ( ! [X0] : (necessarily(not(X0)) = strict_implies(X0,not(X0))) ) | (~spl94_257 | ~spl94_314)), 56.32/7.42 inference(superposition,[],[f6163,f4206])). 56.32/7.42 fof(f6163,plain,( 56.32/7.42 ( ! [X10] : (necessarily(X10) = strict_implies(not(X10),X10)) ) | ~spl94_314), 56.32/7.42 inference(avatar_component_clause,[],[f6162])). 56.32/7.42 fof(f6869,plain,( 56.32/7.42 ( ! [X2] : (strict_equiv(not(X2),X2) = and(necessarily(X2),strict_implies(X2,not(X2)))) ) | ~spl94_314), 56.32/7.42 inference(superposition,[],[f469,f6163])). 56.32/7.42 fof(f469,plain,( 56.32/7.42 ( ! [X0,X1] : (strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))) )), 56.32/7.42 inference(subsumption_resolution,[],[f356,f344])). 56.32/7.42 fof(f344,plain,( 56.32/7.42 op_strict_equiv), 56.32/7.42 inference(cnf_transformation,[],[f87])). 56.32/7.42 fof(f87,axiom,( 56.32/7.42 op_strict_equiv), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_equiv)). 56.32/7.42 fof(f356,plain,( 56.32/7.42 ( ! [X0,X1] : (strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)) | ~op_strict_equiv) )), 56.32/7.42 inference(cnf_transformation,[],[f111])). 56.32/7.42 fof(f111,plain,( 56.32/7.42 ! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)) | ~op_strict_equiv), 56.32/7.42 inference(ennf_transformation,[],[f74])). 56.32/7.42 fof(f74,axiom,( 56.32/7.42 op_strict_equiv => ! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_strict_equiv)). 56.32/7.42 fof(f38865,plain,( 56.32/7.42 ( ! [X18,X19] : (is_a_theorem(X19) | ~is_a_theorem(and(necessarily(X18),not(possibly(X18))))) ) | (~spl94_397 | ~spl94_611)), 56.32/7.42 inference(forward_demodulation,[],[f38807,f10518])). 56.32/7.42 fof(f10518,plain,( 56.32/7.42 ( ! [X32] : (implies(sK80,X32) = X32) ) | ~spl94_397), 56.32/7.42 inference(avatar_component_clause,[],[f10517])). 56.32/7.42 fof(f38807,plain,( 56.32/7.42 ( ! [X18,X19] : (is_a_theorem(implies(sK80,X19)) | ~is_a_theorem(and(necessarily(X18),not(possibly(X18))))) ) | ~spl94_611), 56.32/7.42 inference(superposition,[],[f1693,f38779])). 56.32/7.42 fof(f38779,plain,( 56.32/7.42 ( ! [X11] : (sK80 = implies(necessarily(X11),possibly(X11))) ) | ~spl94_611), 56.32/7.42 inference(avatar_component_clause,[],[f38778])). 56.32/7.42 fof(f1693,plain,( 56.32/7.42 ( ! [X14,X15,X13] : (is_a_theorem(implies(implies(X13,X14),X15)) | ~is_a_theorem(and(X13,not(X14)))) )), 56.32/7.42 inference(superposition,[],[f869,f975])). 56.32/7.42 fof(f975,plain,( 56.32/7.42 ( ! [X2,X3,X4] : (or(and(X2,not(X3)),X4) = implies(implies(X2,X3),X4)) )), 56.32/7.42 inference(forward_demodulation,[],[f965,f468])). 56.32/7.42 fof(f965,plain,( 56.32/7.42 ( ! [X2,X3,X4] : (or(and(X2,not(X3)),X4) = not(and(implies(X2,X3),not(X4)))) )), 56.32/7.42 inference(superposition,[],[f471,f468])). 56.32/7.42 fof(f869,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(or(X2,X3)) | ~is_a_theorem(X2)) )), 56.32/7.42 inference(resolution,[],[f489,f482])). 56.32/7.42 fof(f38921,plain,( 56.32/7.42 spl94_612 | ~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463 | ~spl94_466), 56.32/7.42 inference(avatar_split_clause,[],[f19824,f19749,f19244,f5571,f4210,f2325,f38919])). 56.32/7.42 fof(f38919,plain,( 56.32/7.42 spl94_612 <=> ! [X38,X36,X37] : equiv(and(X37,not(X38)),not(X36)) = equiv(X36,implies(X37,X38))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_612])])). 56.32/7.42 fof(f19749,plain,( 56.32/7.42 spl94_466 <=> ! [X4,X5,X3] : implies(not(X3),and(X4,not(X5))) = implies(implies(X4,X5),X3)), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_466])])). 56.32/7.42 fof(f19824,plain,( 56.32/7.42 ( ! [X38,X36,X37] : (equiv(and(X37,not(X38)),not(X36)) = equiv(X36,implies(X37,X38))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463 | ~spl94_466)), 56.32/7.42 inference(forward_demodulation,[],[f19823,f472])). 56.32/7.42 fof(f19823,plain,( 56.32/7.42 ( ! [X38,X36,X37] : (equiv(and(X37,not(X38)),not(X36)) = and(implies(X36,implies(X37,X38)),implies(implies(X37,X38),X36))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463 | ~spl94_466)), 56.32/7.42 inference(forward_demodulation,[],[f19822,f19323])). 56.32/7.42 fof(f19822,plain,( 56.32/7.42 ( ! [X38,X36,X37] : (equiv(and(X37,not(X38)),not(X36)) = and(or(implies(X37,X38),not(X36)),implies(implies(X37,X38),X36))) ) | (~spl94_191 | ~spl94_280 | ~spl94_466)), 56.32/7.42 inference(forward_demodulation,[],[f19781,f8191])). 56.32/7.42 fof(f8191,plain,( 56.32/7.42 ( ! [X6,X4,X5] : (implies(and(X4,not(X5)),X6) = or(implies(X4,X5),X6)) ) | (~spl94_191 | ~spl94_280)), 56.32/7.42 inference(forward_demodulation,[],[f8190,f2326])). 56.32/7.42 fof(f8190,plain,( 56.32/7.42 ( ! [X6,X4,X5] : (implies(and(X4,not(X5)),X6) = or(and(implies(X4,X5),implies(X4,X5)),X6)) ) | ~spl94_280), 56.32/7.42 inference(forward_demodulation,[],[f8063,f468])). 56.32/7.42 fof(f8063,plain,( 56.32/7.42 ( ! [X6,X4,X5] : (implies(and(X4,not(X5)),X6) = or(and(not(and(X4,not(X5))),implies(X4,X5)),X6)) ) | ~spl94_280), 56.32/7.42 inference(superposition,[],[f1685,f5572])). 56.32/7.42 fof(f1685,plain,( 56.32/7.42 ( ! [X3,X6,X4,X5] : (implies(implies(X5,and(X3,not(X4))),X6) = or(and(X5,implies(X3,X4)),X6)) )), 56.32/7.42 inference(superposition,[],[f975,f468])). 56.32/7.42 fof(f19781,plain,( 56.32/7.42 ( ! [X38,X36,X37] : (equiv(and(X37,not(X38)),not(X36)) = and(implies(and(X37,not(X38)),not(X36)),implies(implies(X37,X38),X36))) ) | ~spl94_466), 56.32/7.42 inference(superposition,[],[f472,f19750])). 56.32/7.42 fof(f19750,plain,( 56.32/7.42 ( ! [X3,X4,X5] : (implies(not(X3),and(X4,not(X5))) = implies(implies(X4,X5),X3)) ) | ~spl94_466), 56.32/7.42 inference(avatar_component_clause,[],[f19749])). 56.32/7.42 fof(f38780,plain,( 56.32/7.42 spl94_611 | ~spl94_403 | ~spl94_606), 56.32/7.42 inference(avatar_split_clause,[],[f38638,f38623,f11593,f38778])). 56.32/7.42 fof(f11593,plain,( 56.32/7.42 spl94_403 <=> ! [X2] : (~is_a_theorem(X2) | sK80 = X2)), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_403])])). 56.32/7.42 fof(f38623,plain,( 56.32/7.42 spl94_606 <=> ! [X4] : is_a_theorem(implies(necessarily(X4),possibly(X4)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_606])])). 56.32/7.42 fof(f38638,plain,( 56.32/7.42 ( ! [X11] : (sK80 = implies(necessarily(X11),possibly(X11))) ) | (~spl94_403 | ~spl94_606)), 56.32/7.42 inference(resolution,[],[f38624,f11594])). 56.32/7.42 fof(f11594,plain,( 56.32/7.42 ( ! [X2] : (~is_a_theorem(X2) | sK80 = X2) ) | ~spl94_403), 56.32/7.42 inference(avatar_component_clause,[],[f11593])). 56.32/7.42 fof(f38624,plain,( 56.32/7.42 ( ! [X4] : (is_a_theorem(implies(necessarily(X4),possibly(X4)))) ) | ~spl94_606), 56.32/7.42 inference(avatar_component_clause,[],[f38623])). 56.32/7.42 fof(f38776,plain,( 56.32/7.42 spl94_610 | ~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463 | ~spl94_466), 56.32/7.42 inference(avatar_split_clause,[],[f19818,f19749,f19244,f5571,f4210,f2325,f38774])). 56.32/7.42 fof(f38774,plain,( 56.32/7.42 spl94_610 <=> ! [X34,X35,X33] : equiv(not(X33),and(X34,not(X35))) = equiv(implies(X34,X35),X33)), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_610])])). 56.32/7.42 fof(f19818,plain,( 56.32/7.42 ( ! [X34,X35,X33] : (equiv(not(X33),and(X34,not(X35))) = equiv(implies(X34,X35),X33)) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463 | ~spl94_466)), 56.32/7.42 inference(forward_demodulation,[],[f19817,f472])). 56.32/7.42 fof(f19817,plain,( 56.32/7.42 ( ! [X34,X35,X33] : (equiv(not(X33),and(X34,not(X35))) = and(implies(implies(X34,X35),X33),implies(X33,implies(X34,X35)))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463 | ~spl94_466)), 56.32/7.42 inference(forward_demodulation,[],[f19816,f19323])). 56.32/7.42 fof(f19816,plain,( 56.32/7.42 ( ! [X34,X35,X33] : (equiv(not(X33),and(X34,not(X35))) = and(implies(implies(X34,X35),X33),or(implies(X34,X35),not(X33)))) ) | (~spl94_191 | ~spl94_280 | ~spl94_466)), 56.32/7.42 inference(forward_demodulation,[],[f19780,f8191])). 56.32/7.42 fof(f19780,plain,( 56.32/7.42 ( ! [X34,X35,X33] : (equiv(not(X33),and(X34,not(X35))) = and(implies(implies(X34,X35),X33),implies(and(X34,not(X35)),not(X33)))) ) | ~spl94_466), 56.32/7.42 inference(superposition,[],[f472,f19750])). 56.32/7.42 fof(f38702,plain,( 56.32/7.42 spl94_609 | ~spl94_466), 56.32/7.42 inference(avatar_split_clause,[],[f19815,f19749,f38700])). 56.32/7.42 fof(f38700,plain,( 56.32/7.42 spl94_609 <=> ! [X32,X30,X31] : strict_implies(not(X30),and(X31,not(X32))) = strict_implies(implies(X31,X32),X30)), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_609])])). 56.32/7.42 fof(f19815,plain,( 56.32/7.42 ( ! [X31,X32,X30] : (strict_implies(not(X30),and(X31,not(X32))) = strict_implies(implies(X31,X32),X30)) ) | ~spl94_466), 56.32/7.42 inference(forward_demodulation,[],[f19779,f467])). 56.32/7.42 fof(f19779,plain,( 56.32/7.42 ( ! [X31,X32,X30] : (strict_implies(not(X30),and(X31,not(X32))) = necessarily(implies(implies(X31,X32),X30))) ) | ~spl94_466), 56.32/7.42 inference(superposition,[],[f467,f19750])). 56.32/7.42 fof(f38698,plain,( 56.32/7.42 spl94_608 | ~spl94_403 | ~spl94_604), 56.32/7.42 inference(avatar_split_clause,[],[f38565,f38555,f11593,f38696])). 56.32/7.42 fof(f38696,plain,( 56.32/7.42 spl94_608 <=> ! [X9] : sK80 = strict_implies(necessarily(X9),possibly(X9))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_608])])). 56.32/7.42 fof(f38555,plain,( 56.32/7.42 spl94_604 <=> ! [X13] : is_a_theorem(strict_implies(necessarily(X13),possibly(X13)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_604])])). 56.32/7.42 fof(f38565,plain,( 56.32/7.42 ( ! [X9] : (sK80 = strict_implies(necessarily(X9),possibly(X9))) ) | (~spl94_403 | ~spl94_604)), 56.32/7.42 inference(resolution,[],[f38556,f11594])). 56.32/7.42 fof(f38556,plain,( 56.32/7.42 ( ! [X13] : (is_a_theorem(strict_implies(necessarily(X13),possibly(X13)))) ) | ~spl94_604), 56.32/7.42 inference(avatar_component_clause,[],[f38555])). 56.32/7.42 fof(f38629,plain,( 56.32/7.42 spl94_607 | ~spl94_257 | ~spl94_463), 56.32/7.42 inference(avatar_split_clause,[],[f19317,f19244,f4205,f38627])). 56.32/7.42 fof(f38627,plain,( 56.32/7.42 spl94_607 <=> ! [X9,X8,X10] : or(equiv(X8,X9),X10) = not(not(or(X10,equiv(X8,X9))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_607])])). 56.32/7.42 fof(f19317,plain,( 56.32/7.42 ( ! [X10,X8,X9] : (or(equiv(X8,X9),X10) = not(not(or(X10,equiv(X8,X9))))) ) | (~spl94_257 | ~spl94_463)), 56.32/7.42 inference(forward_demodulation,[],[f19316,f5188])). 56.32/7.42 fof(f5188,plain,( 56.32/7.42 ( ! [X3,X4] : (and(not(X3),not(X4)) = not(or(X3,X4))) ) | ~spl94_257), 56.32/7.42 inference(superposition,[],[f4206,f471])). 56.32/7.42 fof(f19316,plain,( 56.32/7.42 ( ! [X10,X8,X9] : (not(and(not(X10),not(equiv(X8,X9)))) = or(equiv(X8,X9),X10)) ) | ~spl94_463), 56.32/7.42 inference(forward_demodulation,[],[f19263,f970])). 56.32/7.42 fof(f19263,plain,( 56.32/7.42 ( ! [X10,X8,X9] : (not(and(not(X10),not(equiv(X8,X9)))) = implies(not(equiv(X8,X9)),X10)) ) | ~spl94_463), 56.32/7.42 inference(superposition,[],[f19245,f1754])). 56.32/7.42 fof(f1754,plain,( 56.32/7.42 ( ! [X0,X1] : (implies(implies(X0,X1),and(X1,not(X0))) = not(equiv(X0,X1))) )), 56.32/7.42 inference(superposition,[],[f954,f472])). 56.32/7.42 fof(f954,plain,( 56.32/7.42 ( ! [X2,X3,X4] : (implies(X4,and(X2,not(X3))) = not(and(X4,implies(X2,X3)))) )), 56.32/7.42 inference(superposition,[],[f468,f468])). 56.32/7.42 fof(f38625,plain,( 56.32/7.42 spl94_606 | ~spl94_604), 56.32/7.42 inference(avatar_split_clause,[],[f38561,f38555,f38623])). 56.32/7.42 fof(f38561,plain,( 56.32/7.42 ( ! [X4] : (is_a_theorem(implies(necessarily(X4),possibly(X4)))) ) | ~spl94_604), 56.32/7.42 inference(resolution,[],[f38556,f879])). 56.32/7.42 fof(f38621,plain,( 56.32/7.42 spl94_605 | ~spl94_75 | ~spl94_191 | ~spl94_258 | ~spl94_345), 56.32/7.42 inference(avatar_split_clause,[],[f8315,f7340,f4210,f2325,f853,f38619])). 56.32/7.42 fof(f38619,plain,( 56.32/7.42 spl94_605 <=> ! [X153,X152] : (is_a_theorem(implies(X152,not(necessarily(possibly(X153))))) | ~is_a_theorem(implies(X152,not(possibly(X153)))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_605])])). 56.32/7.42 fof(f853,plain,( 56.32/7.42 spl94_75 <=> ! [X2,X3] : (X2 = X3 | ~is_a_theorem(strict_equiv(X2,X3)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_75])])). 56.32/7.42 fof(f7340,plain,( 56.32/7.42 spl94_345 <=> ! [X1] : is_a_theorem(strict_equiv(necessarily(X1),possibly(necessarily(X1))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_345])])). 56.32/7.42 fof(f8315,plain,( 56.32/7.42 ( ! [X152,X153] : (is_a_theorem(implies(X152,not(necessarily(possibly(X153))))) | ~is_a_theorem(implies(X152,not(possibly(X153))))) ) | (~spl94_75 | ~spl94_191 | ~spl94_258 | ~spl94_345)), 56.32/7.42 inference(backward_demodulation,[],[f4789,f8308])). 56.32/7.42 fof(f8308,plain,( 56.32/7.42 ( ! [X0] : (necessarily(X0) = possibly(necessarily(X0))) ) | (~spl94_75 | ~spl94_345)), 56.32/7.42 inference(resolution,[],[f7341,f854])). 56.32/7.42 fof(f854,plain,( 56.32/7.42 ( ! [X2,X3] : (~is_a_theorem(strict_equiv(X2,X3)) | X2 = X3) ) | ~spl94_75), 56.32/7.42 inference(avatar_component_clause,[],[f853])). 56.32/7.42 fof(f7341,plain,( 56.32/7.42 ( ! [X1] : (is_a_theorem(strict_equiv(necessarily(X1),possibly(necessarily(X1))))) ) | ~spl94_345), 56.32/7.42 inference(avatar_component_clause,[],[f7340])). 56.32/7.42 fof(f4789,plain,( 56.32/7.42 ( ! [X152,X153] : (is_a_theorem(implies(X152,not(possibly(necessarily(possibly(X153)))))) | ~is_a_theorem(implies(X152,not(possibly(X153))))) ) | (~spl94_191 | ~spl94_258)), 56.32/7.42 inference(forward_demodulation,[],[f4748,f4680])). 56.32/7.42 fof(f4680,plain,( 56.32/7.42 ( ! [X0,X1] : (implies(X1,necessarily(not(X0))) = implies(X1,not(possibly(X0)))) ) | (~spl94_191 | ~spl94_258)), 56.32/7.42 inference(backward_demodulation,[],[f953,f4604])). 56.32/7.42 fof(f4604,plain,( 56.32/7.42 ( ! [X29,X30] : (implies(X30,not(X29)) = not(and(X30,X29))) ) | (~spl94_191 | ~spl94_258)), 56.32/7.42 inference(forward_demodulation,[],[f4527,f4211])). 56.32/7.42 fof(f4527,plain,( 56.32/7.42 ( ! [X29,X30] : (not(and(X30,or(X29,X29))) = implies(X30,not(X29))) ) | ~spl94_191), 56.32/7.42 inference(superposition,[],[f972,f2326])). 56.32/7.42 fof(f953,plain,( 56.32/7.42 ( ! [X0,X1] : (implies(X1,necessarily(not(X0))) = not(and(X1,possibly(X0)))) )), 56.32/7.42 inference(superposition,[],[f468,f470])). 56.32/7.42 fof(f470,plain,( 56.32/7.42 ( ! [X0] : (possibly(X0) = not(necessarily(not(X0)))) )), 56.32/7.42 inference(subsumption_resolution,[],[f357,f345])). 56.32/7.42 fof(f345,plain,( 56.32/7.42 op_possibly), 56.32/7.42 inference(cnf_transformation,[],[f86])). 56.32/7.42 fof(f86,axiom,( 56.32/7.42 op_possibly), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_possibly)). 56.32/7.42 fof(f357,plain,( 56.32/7.42 ( ! [X0] : (possibly(X0) = not(necessarily(not(X0))) | ~op_possibly) )), 56.32/7.42 inference(cnf_transformation,[],[f112])). 56.32/7.42 fof(f112,plain,( 56.32/7.42 ! [X0] : possibly(X0) = not(necessarily(not(X0))) | ~op_possibly), 56.32/7.42 inference(ennf_transformation,[],[f73])). 56.32/7.42 fof(f73,axiom,( 56.32/7.42 op_possibly => ! [X0] : possibly(X0) = not(necessarily(not(X0)))), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_possibly)). 56.32/7.42 fof(f4748,plain,( 56.32/7.42 ( ! [X152,X153] : (~is_a_theorem(implies(X152,not(possibly(X153)))) | is_a_theorem(implies(X152,necessarily(not(necessarily(possibly(X153))))))) ) | (~spl94_191 | ~spl94_258)), 56.32/7.42 inference(backward_demodulation,[],[f3987,f4680])). 56.32/7.42 fof(f3987,plain,( 56.32/7.42 ( ! [X152,X153] : (is_a_theorem(implies(X152,necessarily(not(necessarily(possibly(X153)))))) | ~is_a_theorem(implies(X152,necessarily(not(X153))))) )), 56.32/7.42 inference(resolution,[],[f1739,f1445])). 56.32/7.42 fof(f1445,plain,( 56.32/7.42 ( ! [X3] : (is_a_theorem(implies(necessarily(not(X3)),necessarily(not(necessarily(possibly(X3))))))) )), 56.32/7.42 inference(superposition,[],[f490,f748])). 56.32/7.42 fof(f748,plain,( 56.32/7.42 ( ! [X0] : (possibly(necessarily(not(X0))) = not(necessarily(possibly(X0)))) )), 56.32/7.42 inference(superposition,[],[f470,f470])). 56.32/7.42 fof(f490,plain,( 56.32/7.42 ( ! [X0] : (is_a_theorem(implies(X0,necessarily(possibly(X0))))) )), 56.32/7.42 inference(subsumption_resolution,[],[f429,f326])). 56.32/7.42 fof(f326,plain,( 56.32/7.42 axiom_B), 56.32/7.42 inference(cnf_transformation,[],[f77])). 56.32/7.42 fof(f77,axiom,( 56.32/7.42 axiom_B), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',km4b_axiom_B)). 56.32/7.42 fof(f429,plain,( 56.32/7.42 ( ! [X0] : (is_a_theorem(implies(X0,necessarily(possibly(X0)))) | ~axiom_B) )), 56.32/7.42 inference(cnf_transformation,[],[f251])). 56.32/7.42 fof(f251,plain,( 56.32/7.42 (! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0)))) | ~axiom_B) & (axiom_B | ~is_a_theorem(implies(sK57,necessarily(possibly(sK57)))))), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f249,f250])). 56.32/7.42 fof(f250,plain,( 56.32/7.42 ? [X1] : ~is_a_theorem(implies(X1,necessarily(possibly(X1)))) => ~is_a_theorem(implies(sK57,necessarily(possibly(sK57))))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f249,plain,( 56.32/7.42 (! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0)))) | ~axiom_B) & (axiom_B | ? [X1] : ~is_a_theorem(implies(X1,necessarily(possibly(X1)))))), 56.32/7.42 inference(rectify,[],[f248])). 56.32/7.42 fof(f248,plain,( 56.32/7.42 (! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0)))) | ~axiom_B) & (axiom_B | ? [X0] : ~is_a_theorem(implies(X0,necessarily(possibly(X0)))))), 56.32/7.42 inference(nnf_transformation,[],[f51])). 56.32/7.42 fof(f51,axiom,( 56.32/7.42 ! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0)))) <=> axiom_B), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_B)). 56.32/7.42 fof(f38557,plain,( 56.32/7.42 spl94_604 | ~spl94_312 | ~spl94_404 | ~spl94_515 | ~spl94_542 | ~spl94_582), 56.32/7.42 inference(avatar_split_clause,[],[f38501,f37421,f33442,f28787,f12061,f6140,f38555])). 56.32/7.42 fof(f12061,plain,( 56.32/7.42 spl94_404 <=> sK80 = possibly(sK80)), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_404])])). 56.32/7.42 fof(f28787,plain,( 56.32/7.42 spl94_515 <=> ! [X2] : not(X2) = implies(X2,not(sK80))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_515])])). 56.32/7.42 fof(f33442,plain,( 56.32/7.42 spl94_542 <=> ! [X162,X163] : is_a_theorem(strict_implies(strict_implies(X162,not(X163)),implies(necessarily(X162),not(possibly(X163)))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_542])])). 56.32/7.42 fof(f37421,plain,( 56.32/7.42 spl94_582 <=> ! [X27,X28] : implies(X27,X28) = or(X28,not(X27))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_582])])). 56.32/7.42 fof(f38501,plain,( 56.32/7.42 ( ! [X13] : (is_a_theorem(strict_implies(necessarily(X13),possibly(X13)))) ) | (~spl94_312 | ~spl94_404 | ~spl94_515 | ~spl94_542 | ~spl94_582)), 56.32/7.42 inference(backward_demodulation,[],[f34418,f38482])). 56.32/7.42 fof(f38482,plain,( 56.32/7.42 ( ! [X11,X12] : (strict_implies(X12,X11) = strict_implies(not(X11),not(X12))) ) | ~spl94_582), 56.32/7.42 inference(forward_demodulation,[],[f38381,f467])). 56.32/7.42 fof(f38381,plain,( 56.32/7.42 ( ! [X11,X12] : (strict_implies(not(X11),not(X12)) = necessarily(implies(X12,X11))) ) | ~spl94_582), 56.32/7.42 inference(superposition,[],[f1333,f37422])). 56.32/7.42 fof(f37422,plain,( 56.32/7.42 ( ! [X28,X27] : (implies(X27,X28) = or(X28,not(X27))) ) | ~spl94_582), 56.32/7.42 inference(avatar_component_clause,[],[f37421])). 56.32/7.42 fof(f34418,plain,( 56.32/7.42 ( ! [X13] : (is_a_theorem(strict_implies(not(possibly(X13)),not(necessarily(X13))))) ) | (~spl94_312 | ~spl94_404 | ~spl94_515 | ~spl94_542)), 56.32/7.42 inference(forward_demodulation,[],[f34417,f28910])). 56.32/7.42 fof(f28910,plain,( 56.32/7.42 ( ! [X2] : (not(possibly(X2)) = strict_implies(X2,not(sK80))) ) | (~spl94_312 | ~spl94_515)), 56.32/7.42 inference(forward_demodulation,[],[f28856,f6141])). 56.32/7.42 fof(f28856,plain,( 56.32/7.42 ( ! [X2] : (necessarily(not(X2)) = strict_implies(X2,not(sK80))) ) | ~spl94_515), 56.32/7.42 inference(superposition,[],[f467,f28788])). 56.32/7.42 fof(f28788,plain,( 56.32/7.42 ( ! [X2] : (not(X2) = implies(X2,not(sK80))) ) | ~spl94_515), 56.32/7.42 inference(avatar_component_clause,[],[f28787])). 56.32/7.42 fof(f34417,plain,( 56.32/7.42 ( ! [X13] : (is_a_theorem(strict_implies(strict_implies(X13,not(sK80)),not(necessarily(X13))))) ) | (~spl94_404 | ~spl94_515 | ~spl94_542)), 56.32/7.42 inference(forward_demodulation,[],[f34343,f28788])). 56.32/7.42 fof(f34343,plain,( 56.32/7.42 ( ! [X13] : (is_a_theorem(strict_implies(strict_implies(X13,not(sK80)),implies(necessarily(X13),not(sK80))))) ) | (~spl94_404 | ~spl94_542)), 56.32/7.42 inference(superposition,[],[f33443,f12063])). 56.32/7.42 fof(f12063,plain,( 56.32/7.42 sK80 = possibly(sK80) | ~spl94_404), 56.32/7.42 inference(avatar_component_clause,[],[f12061])). 56.32/7.42 fof(f33443,plain,( 56.32/7.42 ( ! [X162,X163] : (is_a_theorem(strict_implies(strict_implies(X162,not(X163)),implies(necessarily(X162),not(possibly(X163)))))) ) | ~spl94_542), 56.32/7.42 inference(avatar_component_clause,[],[f33442])). 56.32/7.42 fof(f38545,plain,( 56.32/7.42 ~spl94_603 | spl94_127 | ~spl94_582), 56.32/7.42 inference(avatar_split_clause,[],[f38500,f37421,f1224,f38542])). 56.32/7.42 fof(f38542,plain,( 56.32/7.42 spl94_603 <=> is_a_theorem(strict_implies(strict_implies(sK78,sK79),strict_implies(possibly(sK78),possibly(sK79))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_603])])). 56.32/7.42 fof(f1224,plain,( 56.32/7.42 spl94_127 <=> is_a_theorem(strict_implies(strict_implies(sK78,sK79),strict_implies(not(possibly(sK79)),not(possibly(sK78)))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_127])])). 56.32/7.42 fof(f38500,plain,( 56.32/7.42 ~is_a_theorem(strict_implies(strict_implies(sK78,sK79),strict_implies(possibly(sK78),possibly(sK79)))) | (spl94_127 | ~spl94_582)), 56.32/7.42 inference(backward_demodulation,[],[f1226,f38482])). 56.32/7.42 fof(f1226,plain,( 56.32/7.42 ~is_a_theorem(strict_implies(strict_implies(sK78,sK79),strict_implies(not(possibly(sK79)),not(possibly(sK78))))) | spl94_127), 56.32/7.42 inference(avatar_component_clause,[],[f1224])). 56.32/7.42 fof(f38540,plain,( 56.32/7.42 ~spl94_602 | spl94_374 | ~spl94_582), 56.32/7.42 inference(avatar_split_clause,[],[f38499,f37421,f8794,f38537])). 56.32/7.42 fof(f38537,plain,( 56.32/7.42 spl94_602 <=> is_a_theorem(strict_implies(possibly(sK78),possibly(sK79)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_602])])). 56.32/7.42 fof(f8794,plain,( 56.32/7.42 spl94_374 <=> is_a_theorem(strict_implies(not(possibly(sK79)),not(possibly(sK78))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_374])])). 56.32/7.42 fof(f38499,plain,( 56.32/7.42 ~is_a_theorem(strict_implies(possibly(sK78),possibly(sK79))) | (spl94_374 | ~spl94_582)), 56.32/7.42 inference(backward_demodulation,[],[f8796,f38482])). 56.32/7.42 fof(f8796,plain,( 56.32/7.42 ~is_a_theorem(strict_implies(not(possibly(sK79)),not(possibly(sK78)))) | spl94_374), 56.32/7.42 inference(avatar_component_clause,[],[f8794])). 56.32/7.42 fof(f37848,plain,( 56.32/7.42 ~spl94_600 | ~spl94_601 | ~spl94_523 | spl94_596), 56.32/7.42 inference(avatar_split_clause,[],[f37839,f37823,f29601,f37845,f37841])). 56.32/7.42 fof(f37841,plain,( 56.32/7.42 spl94_600 <=> is_a_theorem(not(sK29))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_600])])). 56.32/7.42 fof(f37845,plain,( 56.32/7.42 spl94_601 <=> is_a_theorem(not(sK28))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_601])])). 56.32/7.42 fof(f29601,plain,( 56.32/7.42 spl94_523 <=> ! [X2,X3] : (~is_a_theorem(not(X2)) | is_a_theorem(not(or(X2,X3))) | ~is_a_theorem(not(X3)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_523])])). 56.32/7.42 fof(f37823,plain,( 56.32/7.42 spl94_596 <=> is_a_theorem(not(or(sK28,sK29)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_596])])). 56.32/7.42 fof(f37839,plain,( 56.32/7.42 ~is_a_theorem(not(sK28)) | ~is_a_theorem(not(sK29)) | (~spl94_523 | spl94_596)), 56.32/7.42 inference(resolution,[],[f37825,f29602])). 56.32/7.42 fof(f29602,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(not(or(X2,X3))) | ~is_a_theorem(not(X2)) | ~is_a_theorem(not(X3))) ) | ~spl94_523), 56.32/7.42 inference(avatar_component_clause,[],[f29601])). 56.32/7.42 fof(f37825,plain,( 56.32/7.42 ~is_a_theorem(not(or(sK28,sK29))) | spl94_596), 56.32/7.42 inference(avatar_component_clause,[],[f37823])). 56.32/7.42 fof(f37838,plain,( 56.32/7.42 spl94_599 | ~spl94_257), 56.32/7.42 inference(avatar_split_clause,[],[f6083,f4205,f37836])). 56.32/7.42 fof(f37836,plain,( 56.32/7.42 spl94_599 <=> ! [X9,X8] : (is_a_theorem(or(and(X9,X8),equiv(not(X8),X9))) | ~is_a_theorem(or(X8,X9)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_599])])). 56.32/7.42 fof(f6083,plain,( 56.32/7.42 ( ! [X8,X9] : (is_a_theorem(or(and(X9,X8),equiv(not(X8),X9))) | ~is_a_theorem(or(X8,X9))) ) | ~spl94_257), 56.32/7.42 inference(forward_demodulation,[],[f6065,f5200])). 56.32/7.42 fof(f5200,plain,( 56.32/7.42 ( ! [X18,X19,X17] : (implies(implies(X18,not(X17)),X19) = or(and(X18,X17),X19)) ) | ~spl94_257), 56.32/7.42 inference(superposition,[],[f975,f4206])). 56.32/7.42 fof(f6065,plain,( 56.32/7.42 ( ! [X8,X9] : (is_a_theorem(implies(implies(X9,not(X8)),equiv(not(X8),X9))) | ~is_a_theorem(or(X8,X9))) )), 56.32/7.42 inference(superposition,[],[f872,f1334])). 56.32/7.42 fof(f1334,plain,( 56.32/7.42 ( ! [X2,X3] : (equiv(not(X2),X3) = and(or(X2,X3),implies(X3,not(X2)))) )), 56.32/7.42 inference(superposition,[],[f472,f970])). 56.32/7.42 fof(f872,plain,( 56.32/7.42 ( ! [X8,X7] : (is_a_theorem(implies(X7,and(X8,X7))) | ~is_a_theorem(X8)) )), 56.32/7.42 inference(resolution,[],[f489,f484])). 56.32/7.42 fof(f37834,plain,( 56.32/7.42 spl94_598 | ~spl94_257), 56.32/7.42 inference(avatar_split_clause,[],[f6081,f4205,f37832])). 56.32/7.42 fof(f37832,plain,( 56.32/7.42 spl94_598 <=> ! [X0,X1] : not(equiv(not(X0),X1)) = implies(or(X0,X1),and(X1,X0))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_598])])). 56.32/7.42 fof(f6081,plain,( 56.32/7.42 ( ! [X0,X1] : (not(equiv(not(X0),X1)) = implies(or(X0,X1),and(X1,X0))) ) | ~spl94_257), 56.32/7.42 inference(forward_demodulation,[],[f6061,f4206])). 56.32/7.42 fof(f6061,plain,( 56.32/7.42 ( ! [X0,X1] : (implies(or(X0,X1),and(X1,not(not(X0)))) = not(equiv(not(X0),X1))) )), 56.32/7.42 inference(superposition,[],[f954,f1334])). 56.32/7.42 fof(f37830,plain,( 56.32/7.42 ~spl94_596 | ~spl94_597 | spl94_185 | ~spl94_523), 56.32/7.42 inference(avatar_split_clause,[],[f30383,f29601,f2246,f37827,f37823])). 56.32/7.42 fof(f37827,plain,( 56.32/7.42 spl94_597 <=> is_a_theorem(not(sK27))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_597])])). 56.32/7.42 fof(f2246,plain,( 56.32/7.42 spl94_185 <=> is_a_theorem(not(or(sK27,or(sK28,sK29))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_185])])). 56.32/7.42 fof(f30383,plain,( 56.32/7.42 ~is_a_theorem(not(sK27)) | ~is_a_theorem(not(or(sK28,sK29))) | (spl94_185 | ~spl94_523)), 56.32/7.42 inference(resolution,[],[f29602,f2248])). 56.32/7.42 fof(f2248,plain,( 56.32/7.42 ~is_a_theorem(not(or(sK27,or(sK28,sK29)))) | spl94_185), 56.32/7.42 inference(avatar_component_clause,[],[f2246])). 56.32/7.42 fof(f37821,plain,( 56.32/7.42 spl94_595 | ~spl94_502), 56.32/7.42 inference(avatar_split_clause,[],[f28762,f21500,f37819])). 56.32/7.42 fof(f37819,plain,( 56.32/7.42 spl94_595 <=> ! [X4,X5] : (is_a_theorem(strict_equiv(X4,X5)) | ~is_a_theorem(X4) | ~is_a_theorem(X5))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_595])])). 56.32/7.42 fof(f21500,plain,( 56.32/7.42 spl94_502 <=> ! [X4,X3] : (~is_a_theorem(strict_implies(X3,X4)) | is_a_theorem(strict_equiv(X3,X4)) | ~is_a_theorem(X3))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_502])])). 56.32/7.42 fof(f28762,plain,( 56.32/7.42 ( ! [X4,X5] : (is_a_theorem(strict_equiv(X4,X5)) | ~is_a_theorem(X4) | ~is_a_theorem(X5)) ) | ~spl94_502), 56.32/7.42 inference(resolution,[],[f21501,f1077])). 56.32/7.42 fof(f1077,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(strict_implies(X0,X1)) | ~is_a_theorem(X1)) )), 56.32/7.42 inference(resolution,[],[f866,f871])). 56.32/7.42 fof(f871,plain,( 56.32/7.42 ( ! [X6,X5] : (is_a_theorem(implies(X5,X6)) | ~is_a_theorem(X6)) )), 56.32/7.42 inference(resolution,[],[f489,f493])). 56.32/7.42 fof(f21501,plain,( 56.32/7.42 ( ! [X3,X4] : (~is_a_theorem(strict_implies(X3,X4)) | is_a_theorem(strict_equiv(X3,X4)) | ~is_a_theorem(X3)) ) | ~spl94_502), 56.32/7.42 inference(avatar_component_clause,[],[f21500])). 56.32/7.42 fof(f37817,plain,( 56.32/7.42 spl94_594 | ~spl94_304), 56.32/7.42 inference(avatar_split_clause,[],[f6024,f5945,f37815])). 56.32/7.42 fof(f37815,plain,( 56.32/7.42 spl94_594 <=> ! [X0,X1] : (is_a_theorem(strict_implies(X0,not(possibly(X1)))) | ~is_a_theorem(not(possibly(and(X0,possibly(X1))))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_594])])). 56.32/7.42 fof(f5945,plain,( 56.32/7.42 spl94_304 <=> ! [X6,X5] : is_a_theorem(or(possibly(and(X5,possibly(X6))),strict_implies(X5,not(possibly(X6)))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_304])])). 56.32/7.42 fof(f6024,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(strict_implies(X0,not(possibly(X1)))) | ~is_a_theorem(not(possibly(and(X0,possibly(X1)))))) ) | ~spl94_304), 56.32/7.42 inference(resolution,[],[f5946,f1339])). 56.32/7.42 fof(f1339,plain,( 56.32/7.42 ( ! [X12,X13] : (~is_a_theorem(or(X12,X13)) | is_a_theorem(X13) | ~is_a_theorem(not(X12))) )), 56.32/7.42 inference(superposition,[],[f489,f970])). 56.32/7.42 fof(f5946,plain,( 56.32/7.42 ( ! [X6,X5] : (is_a_theorem(or(possibly(and(X5,possibly(X6))),strict_implies(X5,not(possibly(X6)))))) ) | ~spl94_304), 56.32/7.42 inference(avatar_component_clause,[],[f5945])). 56.32/7.42 fof(f37799,plain,( 56.32/7.42 spl94_593 | ~spl94_257), 56.32/7.42 inference(avatar_split_clause,[],[f5454,f4205,f37797])). 56.32/7.42 fof(f37797,plain,( 56.32/7.42 spl94_593 <=> ! [X0,X1] : is_a_theorem(strict_implies(or(X0,X1),or(and(X1,X0),equiv(not(X0),X1))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_593])])). 56.32/7.42 fof(f5454,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(strict_implies(or(X0,X1),or(and(X1,X0),equiv(not(X0),X1))))) ) | ~spl94_257), 56.32/7.42 inference(backward_demodulation,[],[f3561,f5200])). 56.32/7.42 fof(f3561,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(strict_implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))))) )), 56.32/7.42 inference(superposition,[],[f1143,f970])). 56.32/7.42 fof(f1143,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(strict_implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) )), 56.32/7.42 inference(resolution,[],[f487,f866])). 56.32/7.42 fof(f487,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) )), 56.32/7.42 inference(subsumption_resolution,[],[f417,f335])). 56.32/7.42 fof(f335,plain,( 56.32/7.42 equivalence_3), 56.32/7.42 inference(cnf_transformation,[],[f37])). 56.32/7.42 fof(f37,axiom,( 56.32/7.42 equivalence_3), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_equivalence_3)). 56.32/7.42 fof(f417,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))) | ~equivalence_3) )), 56.32/7.42 inference(cnf_transformation,[],[f235])). 56.32/7.42 fof(f235,plain,( 56.32/7.42 (equivalence_3 | ~is_a_theorem(implies(implies(sK50,sK51),implies(implies(sK51,sK50),equiv(sK50,sK51))))) & (! [X2,X3] : is_a_theorem(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))) | ~equivalence_3)), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK50,sK51])],[f233,f234])). 56.32/7.42 fof(f234,plain,( 56.32/7.42 ? [X0,X1] : ~is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) => ~is_a_theorem(implies(implies(sK50,sK51),implies(implies(sK51,sK50),equiv(sK50,sK51))))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f233,plain,( 56.32/7.42 (equivalence_3 | ? [X0,X1] : ~is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) & (! [X2,X3] : is_a_theorem(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))) | ~equivalence_3)), 56.32/7.42 inference(rectify,[],[f232])). 56.32/7.42 fof(f232,plain,( 56.32/7.42 (equivalence_3 | ? [X0,X1] : ~is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) & (! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) | ~equivalence_3)), 56.32/7.42 inference(nnf_transformation,[],[f6])). 56.32/7.42 fof(f6,axiom,( 56.32/7.42 equivalence_3 <=> ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence_3)). 56.32/7.42 fof(f37781,plain,( 56.32/7.42 ~spl94_592 | spl94_125), 56.32/7.42 inference(avatar_split_clause,[],[f22603,f1212,f37778])). 56.32/7.42 fof(f37778,plain,( 56.32/7.42 spl94_592 <=> is_a_theorem(implies(or(sK27,or(sK28,sK29)),sK28))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_592])])). 56.32/7.42 fof(f1212,plain,( 56.32/7.42 spl94_125 <=> is_a_theorem(implies(or(sK27,or(sK28,sK29)),or(sK28,or(sK27,sK29))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_125])])). 56.32/7.42 fof(f22603,plain,( 56.32/7.42 ~is_a_theorem(implies(or(sK27,or(sK28,sK29)),sK28)) | spl94_125), 56.32/7.42 inference(resolution,[],[f3949,f1214])). 56.32/7.42 fof(f1214,plain,( 56.32/7.42 ~is_a_theorem(implies(or(sK27,or(sK28,sK29)),or(sK28,or(sK27,sK29)))) | spl94_125), 56.32/7.42 inference(avatar_component_clause,[],[f1212])). 56.32/7.42 fof(f37776,plain,( 56.32/7.42 spl94_591 | ~spl94_191 | ~spl94_258), 56.32/7.42 inference(avatar_split_clause,[],[f4718,f4210,f2325,f37774])). 56.32/7.42 fof(f37774,plain,( 56.32/7.42 spl94_591 <=> ! [X38,X37] : is_a_theorem(or(and(X37,possibly(X38)),necessarily(possibly(implies(X37,not(possibly(X38)))))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_591])])). 56.32/7.42 fof(f4718,plain,( 56.32/7.42 ( ! [X38,X37] : (is_a_theorem(or(and(X37,possibly(X38)),necessarily(possibly(implies(X37,not(possibly(X38)))))))) ) | (~spl94_191 | ~spl94_258)), 56.32/7.42 inference(backward_demodulation,[],[f1599,f4680])). 56.32/7.42 fof(f1599,plain,( 56.32/7.42 ( ! [X38,X37] : (is_a_theorem(or(and(X37,possibly(X38)),necessarily(possibly(implies(X37,necessarily(not(X38)))))))) )), 56.32/7.42 inference(superposition,[],[f1361,f953])). 56.32/7.42 fof(f1361,plain,( 56.32/7.42 ( ! [X60] : (is_a_theorem(or(X60,necessarily(possibly(not(X60)))))) )), 56.32/7.42 inference(superposition,[],[f490,f970])). 56.32/7.42 fof(f37772,plain,( 56.32/7.42 ~spl94_590 | spl94_265), 56.32/7.42 inference(avatar_split_clause,[],[f22600,f4799,f37769])). 56.32/7.42 fof(f37769,plain,( 56.32/7.42 spl94_590 <=> is_a_theorem(implies(implies(sK30,sK31),and(sK31,sK32)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_590])])). 56.32/7.42 fof(f22600,plain,( 56.32/7.42 ~is_a_theorem(implies(implies(sK30,sK31),and(sK31,sK32))) | spl94_265), 56.32/7.42 inference(resolution,[],[f3949,f4801])). 56.32/7.42 fof(f37767,plain,( 56.32/7.42 spl94_589 | ~spl94_191 | ~spl94_258), 56.32/7.42 inference(avatar_split_clause,[],[f4717,f4210,f2325,f37765])). 56.32/7.42 fof(f37765,plain,( 56.32/7.42 spl94_589 <=> ! [X34,X36,X35] : is_a_theorem(or(and(X34,possibly(X35)),or(implies(X34,not(possibly(X35))),X36)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_589])])). 56.32/7.42 fof(f4717,plain,( 56.32/7.42 ( ! [X36,X34,X35] : (is_a_theorem(or(and(X34,possibly(X35)),or(implies(X34,not(possibly(X35))),X36)))) ) | (~spl94_191 | ~spl94_258)), 56.32/7.42 inference(backward_demodulation,[],[f1598,f4680])). 56.32/7.42 fof(f1598,plain,( 56.32/7.42 ( ! [X36,X34,X35] : (is_a_theorem(or(and(X34,possibly(X35)),or(implies(X34,necessarily(not(X35))),X36)))) )), 56.32/7.42 inference(superposition,[],[f1360,f953])). 56.32/7.42 fof(f1360,plain,( 56.32/7.42 ( ! [X58,X59] : (is_a_theorem(or(X58,or(not(X58),X59)))) )), 56.32/7.42 inference(superposition,[],[f482,f970])). 56.32/7.42 fof(f37763,plain,( 56.32/7.42 ~spl94_588 | spl94_130), 56.32/7.42 inference(avatar_split_clause,[],[f22386,f1240,f37760])). 56.32/7.42 fof(f22386,plain,( 56.32/7.42 ~is_a_theorem(implies(implies(sK83,sK84),or(sK82,sK84))) | spl94_130), 56.32/7.42 inference(resolution,[],[f3943,f1242])). 56.32/7.42 fof(f3943,plain,( 56.32/7.42 ( ! [X11,X12,X13] : (is_a_theorem(implies(X11,implies(X12,X13))) | ~is_a_theorem(implies(X11,X13))) )), 56.32/7.42 inference(resolution,[],[f1739,f493])). 56.32/7.42 fof(f37677,plain,( 56.32/7.42 spl94_587 | ~spl94_191 | ~spl94_258), 56.32/7.42 inference(avatar_split_clause,[],[f4716,f4210,f2325,f37675])). 56.32/7.42 fof(f37675,plain,( 56.32/7.42 spl94_587 <=> ! [X32,X33,X31] : is_a_theorem(or(and(X31,possibly(X32)),or(X33,implies(X31,not(possibly(X32))))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_587])])). 56.32/7.42 fof(f4716,plain,( 56.32/7.42 ( ! [X31,X32,X33] : (is_a_theorem(or(and(X31,possibly(X32)),or(X33,implies(X31,not(possibly(X32))))))) ) | (~spl94_191 | ~spl94_258)), 56.32/7.42 inference(backward_demodulation,[],[f1597,f4680])). 56.32/7.42 fof(f1597,plain,( 56.32/7.42 ( ! [X31,X32,X33] : (is_a_theorem(or(and(X31,possibly(X32)),or(X33,implies(X31,necessarily(not(X32))))))) )), 56.32/7.42 inference(superposition,[],[f1359,f953])). 56.32/7.42 fof(f1359,plain,( 56.32/7.42 ( ! [X56,X57] : (is_a_theorem(or(X56,or(X57,not(X56))))) )), 56.32/7.42 inference(superposition,[],[f481,f970])). 56.32/7.42 fof(f37644,plain,( 56.32/7.42 spl94_586 | ~spl94_191 | ~spl94_258), 56.32/7.42 inference(avatar_split_clause,[],[f4715,f4210,f2325,f37642])). 56.32/7.42 fof(f37642,plain,( 56.32/7.42 spl94_586 <=> ! [X29,X28,X30] : is_a_theorem(or(and(X28,possibly(X29)),implies(X30,implies(X28,not(possibly(X29))))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_586])])). 56.32/7.42 fof(f4715,plain,( 56.32/7.42 ( ! [X28,X29,X30] : (is_a_theorem(or(and(X28,possibly(X29)),implies(X30,implies(X28,not(possibly(X29))))))) ) | (~spl94_191 | ~spl94_258)), 56.32/7.42 inference(backward_demodulation,[],[f1596,f4680])). 56.32/7.42 fof(f1596,plain,( 56.32/7.42 ( ! [X28,X29,X30] : (is_a_theorem(or(and(X28,possibly(X29)),implies(X30,implies(X28,necessarily(not(X29))))))) )), 56.32/7.42 inference(superposition,[],[f1356,f953])). 56.32/7.42 fof(f1356,plain,( 56.32/7.42 ( ! [X50,X51] : (is_a_theorem(or(X50,implies(X51,not(X50))))) )), 56.32/7.42 inference(superposition,[],[f493,f970])). 56.32/7.42 fof(f37640,plain,( 56.32/7.42 spl94_585 | ~spl94_477), 56.32/7.42 inference(avatar_split_clause,[],[f20470,f20444,f37638])). 56.32/7.42 fof(f20444,plain,( 56.32/7.42 spl94_477 <=> ! [X52,X51] : is_a_theorem(implies(equiv(X51,X52),equiv(X52,X51)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_477])])). 56.32/7.42 fof(f20470,plain,( 56.32/7.42 ( ! [X3,X4] : (is_a_theorem(equiv(equiv(X3,X4),equiv(X4,X3)))) ) | ~spl94_477), 56.32/7.42 inference(subsumption_resolution,[],[f20452,f20445])). 56.32/7.42 fof(f20445,plain,( 56.32/7.42 ( ! [X51,X52] : (is_a_theorem(implies(equiv(X51,X52),equiv(X52,X51)))) ) | ~spl94_477), 56.32/7.42 inference(avatar_component_clause,[],[f20444])). 56.32/7.42 fof(f20452,plain,( 56.32/7.42 ( ! [X3,X4] : (is_a_theorem(equiv(equiv(X3,X4),equiv(X4,X3))) | ~is_a_theorem(implies(equiv(X3,X4),equiv(X4,X3)))) ) | ~spl94_477), 56.32/7.42 inference(resolution,[],[f20445,f1730])). 56.32/7.42 fof(f1730,plain,( 56.32/7.42 ( ! [X2,X3] : (~is_a_theorem(implies(X3,X2)) | is_a_theorem(equiv(X2,X3)) | ~is_a_theorem(implies(X2,X3))) )), 56.32/7.42 inference(resolution,[],[f1144,f489])). 56.32/7.42 fof(f1144,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(implies(implies(X2,X3),equiv(X3,X2))) | ~is_a_theorem(implies(X3,X2))) )), 56.32/7.42 inference(resolution,[],[f487,f489])). 56.32/7.42 fof(f37636,plain,( 56.32/7.42 spl94_584 | ~spl94_477), 56.32/7.42 inference(avatar_split_clause,[],[f20454,f20444,f37634])). 56.32/7.42 fof(f37634,plain,( 56.32/7.42 spl94_584 <=> ! [X8,X7] : (is_a_theorem(equiv(X7,X8)) | ~is_a_theorem(equiv(X8,X7)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_584])])). 56.32/7.42 fof(f20454,plain,( 56.32/7.42 ( ! [X8,X7] : (is_a_theorem(equiv(X7,X8)) | ~is_a_theorem(equiv(X8,X7))) ) | ~spl94_477), 56.32/7.42 inference(resolution,[],[f20445,f489])). 56.32/7.42 fof(f37585,plain,( 56.32/7.42 spl94_583 | ~spl94_477), 56.32/7.42 inference(avatar_split_clause,[],[f20453,f20444,f37583])). 56.32/7.42 fof(f20453,plain,( 56.32/7.42 ( ! [X6,X5] : (is_a_theorem(strict_implies(equiv(X5,X6),equiv(X6,X5)))) ) | ~spl94_477), 56.32/7.42 inference(resolution,[],[f20445,f866])). 56.32/7.42 fof(f37423,plain,( 56.32/7.42 spl94_582 | ~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463), 56.32/7.42 inference(avatar_split_clause,[],[f19323,f19244,f5571,f4210,f2325,f37421])). 56.32/7.42 fof(f37419,plain,( 56.32/7.42 spl94_581 | ~spl94_189 | ~spl94_448), 56.32/7.42 inference(avatar_split_clause,[],[f16880,f16735,f2281,f37417])). 56.32/7.42 fof(f37417,plain,( 56.32/7.42 spl94_581 <=> ! [X2,X3] : is_a_theorem(strict_equiv(or(X2,X3),or(X3,X2)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_581])])). 56.32/7.42 fof(f16735,plain,( 56.32/7.42 spl94_448 <=> ! [X0,X1] : is_a_theorem(strict_implies(or(X1,X0),or(X0,X1)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_448])])). 56.32/7.42 fof(f16880,plain,( 56.32/7.42 ( ! [X2,X3] : (is_a_theorem(strict_equiv(or(X2,X3),or(X3,X2)))) ) | (~spl94_189 | ~spl94_448)), 56.32/7.42 inference(subsumption_resolution,[],[f16846,f16736])). 56.32/7.42 fof(f16736,plain,( 56.32/7.42 ( ! [X0,X1] : (is_a_theorem(strict_implies(or(X1,X0),or(X0,X1)))) ) | ~spl94_448), 56.32/7.42 inference(avatar_component_clause,[],[f16735])). 56.32/7.42 fof(f16846,plain,( 56.32/7.42 ( ! [X2,X3] : (~is_a_theorem(strict_implies(or(X2,X3),or(X3,X2))) | is_a_theorem(strict_equiv(or(X2,X3),or(X3,X2)))) ) | (~spl94_189 | ~spl94_448)), 56.32/7.42 inference(resolution,[],[f16736,f2282])). 56.32/7.42 fof(f37415,plain,( 56.32/7.42 spl94_580 | ~spl94_79 | ~spl94_257 | ~spl94_316 | ~spl94_463), 56.32/7.42 inference(avatar_split_clause,[],[f37370,f19244,f6182,f4205,f886,f37413])). 56.32/7.42 fof(f37413,plain,( 56.32/7.42 spl94_580 <=> ! [X9,X11,X10] : (~is_a_theorem(or(X11,X9)) | is_a_theorem(implies(implies(X10,X11),implies(implies(X9,X10),X11))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_580])])). 56.32/7.42 fof(f886,plain,( 56.32/7.42 spl94_79 <=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_79])])). 56.32/7.42 fof(f6182,plain,( 56.32/7.42 spl94_316 <=> ! [X0] : not(X0) = implies(X0,not(X0))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_316])])). 56.32/7.42 fof(f37370,plain,( 56.32/7.42 ( ! [X10,X11,X9] : (~is_a_theorem(or(X11,X9)) | is_a_theorem(implies(implies(X10,X11),implies(implies(X9,X10),X11)))) ) | (~spl94_79 | ~spl94_257 | ~spl94_316 | ~spl94_463)), 56.32/7.42 inference(forward_demodulation,[],[f37274,f19311])). 56.32/7.42 fof(f19311,plain,( 56.32/7.42 ( ! [X2,X3] : (or(X3,X2) = implies(not(X2),X3)) ) | (~spl94_257 | ~spl94_316 | ~spl94_463)), 56.32/7.42 inference(forward_demodulation,[],[f19310,f4206])). 56.32/7.42 fof(f19310,plain,( 56.32/7.42 ( ! [X2,X3] : (implies(not(X2),X3) = not(not(or(X3,X2)))) ) | (~spl94_257 | ~spl94_316 | ~spl94_463)), 56.32/7.42 inference(forward_demodulation,[],[f19260,f5188])). 56.32/7.42 fof(f19260,plain,( 56.32/7.42 ( ! [X2,X3] : (implies(not(X2),X3) = not(and(not(X3),not(X2)))) ) | (~spl94_316 | ~spl94_463)), 56.32/7.42 inference(superposition,[],[f19245,f6183])). 56.32/7.42 fof(f6183,plain,( 56.32/7.42 ( ! [X0] : (not(X0) = implies(X0,not(X0))) ) | ~spl94_316), 56.32/7.42 inference(avatar_component_clause,[],[f6182])). 56.32/7.42 fof(f37274,plain,( 56.32/7.42 ( ! [X10,X11,X9] : (is_a_theorem(implies(implies(X10,X11),implies(implies(X9,X10),X11))) | ~is_a_theorem(implies(not(X9),X11))) ) | ~spl94_79), 56.32/7.42 inference(superposition,[],[f1287,f887])). 56.32/7.42 fof(f887,plain,( 56.32/7.42 ( ! [X0,X1] : (implies(X0,X1) = or(not(X0),X1)) ) | ~spl94_79), 56.32/7.42 inference(avatar_component_clause,[],[f886])). 56.32/7.42 fof(f1287,plain,( 56.32/7.42 ( ! [X3,X4,X5] : (is_a_theorem(implies(implies(X3,X4),implies(or(X5,X3),X4))) | ~is_a_theorem(implies(X5,X4))) )), 56.32/7.42 inference(resolution,[],[f501,f489])). 56.32/7.42 fof(f501,plain,( 56.32/7.42 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))) )), 56.32/7.42 inference(subsumption_resolution,[],[f466,f337])). 56.32/7.42 fof(f337,plain,( 56.32/7.42 or_3), 56.32/7.42 inference(cnf_transformation,[],[f35])). 56.32/7.42 fof(f35,axiom,( 56.32/7.42 or_3), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_3)). 56.32/7.42 fof(f466,plain,( 56.32/7.42 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) | ~or_3) )), 56.32/7.42 inference(cnf_transformation,[],[f319])). 56.32/7.42 fof(f319,plain,( 56.32/7.42 (! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) | ~or_3) & (or_3 | ~is_a_theorem(implies(implies(sK91,sK93),implies(implies(sK92,sK93),implies(or(sK91,sK92),sK93)))))), 56.32/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK91,sK92,sK93])],[f317,f318])). 56.32/7.42 fof(f318,plain,( 56.32/7.42 ? [X3,X4,X5] : ~is_a_theorem(implies(implies(X3,X5),implies(implies(X4,X5),implies(or(X3,X4),X5)))) => ~is_a_theorem(implies(implies(sK91,sK93),implies(implies(sK92,sK93),implies(or(sK91,sK92),sK93))))), 56.32/7.42 introduced(choice_axiom,[])). 56.32/7.42 fof(f317,plain,( 56.32/7.42 (! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) | ~or_3) & (or_3 | ? [X3,X4,X5] : ~is_a_theorem(implies(implies(X3,X5),implies(implies(X4,X5),implies(or(X3,X4),X5)))))), 56.32/7.42 inference(rectify,[],[f316])). 56.32/7.42 fof(f316,plain,( 56.32/7.42 (! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) | ~or_3) & (or_3 | ? [X0,X1,X2] : ~is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))))), 56.32/7.42 inference(nnf_transformation,[],[f4])). 56.32/7.42 fof(f4,axiom,( 56.32/7.42 ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) <=> or_3), 56.32/7.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_3)). 56.32/7.42 fof(f37411,plain,( 56.32/7.42 spl94_579 | ~spl94_199), 56.32/7.42 inference(avatar_split_clause,[],[f5533,f2435,f37409])). 56.32/7.42 fof(f37409,plain,( 56.32/7.42 spl94_579 <=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(strict_implies(X0,X1))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_579])])). 56.32/7.42 fof(f2435,plain,( 56.32/7.42 spl94_199 <=> ! [X1] : necessarily(X1) = necessarily(necessarily(X1))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_199])])). 56.32/7.42 fof(f5533,plain,( 56.32/7.42 ( ! [X0,X1] : (strict_implies(X0,X1) = necessarily(strict_implies(X0,X1))) ) | ~spl94_199), 56.32/7.42 inference(superposition,[],[f2436,f467])). 56.32/7.42 fof(f2436,plain,( 56.32/7.42 ( ! [X1] : (necessarily(X1) = necessarily(necessarily(X1))) ) | ~spl94_199), 56.32/7.42 inference(avatar_component_clause,[],[f2435])). 56.32/7.42 fof(f37249,plain,( 56.32/7.42 spl94_79 | ~spl94_191 | ~spl94_258), 56.32/7.42 inference(avatar_split_clause,[],[f4538,f4210,f2325,f886])). 56.32/7.42 fof(f4538,plain,( 56.32/7.42 ( ! [X16,X15] : (implies(X15,X16) = or(not(X15),X16)) ) | (~spl94_191 | ~spl94_258)), 56.32/7.42 inference(forward_demodulation,[],[f4537,f4211])). 56.32/7.42 fof(f4537,plain,( 56.32/7.42 ( ! [X16,X15] : (or(not(X15),X16) = implies(or(X15,X15),X16)) ) | ~spl94_191), 56.32/7.42 inference(forward_demodulation,[],[f4517,f970])). 56.32/7.42 fof(f4517,plain,( 56.32/7.42 ( ! [X16,X15] : (implies(implies(not(X15),X15),X16) = or(not(X15),X16)) ) | ~spl94_191), 56.32/7.42 inference(superposition,[],[f975,f2326])). 56.32/7.42 fof(f36989,plain,( 56.32/7.42 spl94_578 | ~spl94_462 | ~spl94_574), 56.32/7.42 inference(avatar_split_clause,[],[f36595,f36105,f17454,f36987])). 56.32/7.42 fof(f36987,plain,( 56.32/7.42 spl94_578 <=> ! [X2,X1] : is_a_theorem(strict_implies(X2,or(possibly(X2),X1)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_578])])). 56.32/7.42 fof(f36105,plain,( 56.32/7.42 spl94_574 <=> ! [X11,X10] : is_a_theorem(strict_implies(X11,or(X10,possibly(X11))))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_574])])). 56.32/7.42 fof(f36595,plain,( 56.32/7.42 ( ! [X2,X1] : (is_a_theorem(strict_implies(X2,or(possibly(X2),X1)))) ) | (~spl94_462 | ~spl94_574)), 56.32/7.42 inference(superposition,[],[f36106,f17455])). 56.32/7.42 fof(f36106,plain,( 56.32/7.42 ( ! [X10,X11] : (is_a_theorem(strict_implies(X11,or(X10,possibly(X11))))) ) | ~spl94_574), 56.32/7.42 inference(avatar_component_clause,[],[f36105])). 56.32/7.42 fof(f36985,plain,( 56.32/7.42 spl94_577 | ~spl94_450 | ~spl94_573), 56.32/7.42 inference(avatar_split_clause,[],[f36477,f36101,f16751,f36983])). 56.32/7.42 fof(f36983,plain,( 56.32/7.42 spl94_577 <=> ! [X9,X8] : (~is_a_theorem(X8) | is_a_theorem(or(possibly(X8),X9)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_577])])). 56.32/7.42 fof(f16751,plain,( 56.32/7.42 spl94_450 <=> ! [X2,X3] : (~is_a_theorem(or(X3,X2)) | is_a_theorem(or(X2,X3)))), 56.32/7.42 introduced(avatar_definition,[new_symbols(naming,[spl94_450])])). 56.32/7.43 fof(f36101,plain,( 56.32/7.43 spl94_573 <=> ! [X11,X10] : (is_a_theorem(or(X10,possibly(X11))) | ~is_a_theorem(X11))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_573])])). 56.32/7.43 fof(f36477,plain,( 56.32/7.43 ( ! [X8,X9] : (~is_a_theorem(X8) | is_a_theorem(or(possibly(X8),X9))) ) | (~spl94_450 | ~spl94_573)), 56.32/7.43 inference(resolution,[],[f36102,f16752])). 56.32/7.43 fof(f16752,plain,( 56.32/7.43 ( ! [X2,X3] : (~is_a_theorem(or(X3,X2)) | is_a_theorem(or(X2,X3))) ) | ~spl94_450), 56.32/7.43 inference(avatar_component_clause,[],[f16751])). 56.32/7.43 fof(f36102,plain,( 56.32/7.43 ( ! [X10,X11] : (is_a_theorem(or(X10,possibly(X11))) | ~is_a_theorem(X11)) ) | ~spl94_573), 56.32/7.43 inference(avatar_component_clause,[],[f36101])). 56.32/7.43 fof(f36366,plain,( 56.32/7.43 spl94_576 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_313 | ~spl94_316 | ~spl94_462 | ~spl94_463 | ~spl94_571), 56.32/7.43 inference(avatar_split_clause,[],[f35950,f35257,f19244,f17454,f6182,f6151,f5571,f4210,f4205,f2325,f36364])). 56.32/7.43 fof(f36364,plain,( 56.32/7.43 spl94_576 <=> ! [X9,X10] : is_a_theorem(or(X9,implies(necessarily(X9),X10)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_576])])). 56.32/7.43 fof(f6151,plain,( 56.32/7.43 spl94_313 <=> ! [X2] : possibly(not(X2)) = not(necessarily(X2))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_313])])). 56.32/7.43 fof(f35257,plain,( 56.32/7.43 spl94_571 <=> ! [X11,X10] : is_a_theorem(implies(X11,or(X10,possibly(X11))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_571])])). 56.32/7.43 fof(f35950,plain,( 56.32/7.43 ( ! [X10,X9] : (is_a_theorem(or(X9,implies(necessarily(X9),X10)))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_313 | ~spl94_316 | ~spl94_462 | ~spl94_463 | ~spl94_571)), 56.32/7.43 inference(forward_demodulation,[],[f35949,f19323])). 56.32/7.43 fof(f35949,plain,( 56.32/7.43 ( ! [X10,X9] : (is_a_theorem(or(X9,or(X10,not(necessarily(X9)))))) ) | (~spl94_257 | ~spl94_313 | ~spl94_316 | ~spl94_462 | ~spl94_463 | ~spl94_571)), 56.32/7.43 inference(forward_demodulation,[],[f35948,f17455])). 56.32/7.43 fof(f35948,plain,( 56.32/7.43 ( ! [X10,X9] : (is_a_theorem(or(or(X10,not(necessarily(X9))),X9))) ) | (~spl94_257 | ~spl94_313 | ~spl94_316 | ~spl94_463 | ~spl94_571)), 56.32/7.43 inference(forward_demodulation,[],[f35911,f19311])). 56.32/7.43 fof(f35911,plain,( 56.32/7.43 ( ! [X10,X9] : (is_a_theorem(implies(not(X9),or(X10,not(necessarily(X9)))))) ) | (~spl94_313 | ~spl94_571)), 56.32/7.43 inference(superposition,[],[f35258,f6152])). 56.32/7.43 fof(f6152,plain,( 56.32/7.43 ( ! [X2] : (possibly(not(X2)) = not(necessarily(X2))) ) | ~spl94_313), 56.32/7.43 inference(avatar_component_clause,[],[f6151])). 56.32/7.43 fof(f35258,plain,( 56.32/7.43 ( ! [X10,X11] : (is_a_theorem(implies(X11,or(X10,possibly(X11))))) ) | ~spl94_571), 56.32/7.43 inference(avatar_component_clause,[],[f35257])). 56.32/7.43 fof(f36172,plain,( 56.32/7.43 spl94_575 | ~spl94_540 | ~spl94_571), 56.32/7.43 inference(avatar_split_clause,[],[f35889,f35257,f33060,f36170])). 56.32/7.43 fof(f36170,plain,( 56.32/7.43 spl94_575 <=> ! [X0,X1] : is_a_theorem(implies(X0,or(possibly(X0),X1)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_575])])). 56.32/7.43 fof(f33060,plain,( 56.32/7.43 spl94_540 <=> ! [X102,X100,X101] : (~is_a_theorem(implies(X100,or(X102,X101))) | is_a_theorem(implies(X100,or(X101,X102))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_540])])). 56.32/7.43 fof(f35889,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(implies(X0,or(possibly(X0),X1)))) ) | (~spl94_540 | ~spl94_571)), 56.32/7.43 inference(resolution,[],[f35258,f33061])). 56.32/7.43 fof(f33061,plain,( 56.32/7.43 ( ! [X101,X102,X100] : (~is_a_theorem(implies(X100,or(X102,X101))) | is_a_theorem(implies(X100,or(X101,X102)))) ) | ~spl94_540), 56.32/7.43 inference(avatar_component_clause,[],[f33060])). 56.32/7.43 fof(f36107,plain,( 56.32/7.43 spl94_574 | ~spl94_570), 56.32/7.43 inference(avatar_split_clause,[],[f35852,f35169,f36105])). 56.32/7.43 fof(f35169,plain,( 56.32/7.43 spl94_570 <=> ! [X4,X3] : is_a_theorem(strict_implies(X3,implies(X4,possibly(X3))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_570])])). 56.32/7.43 fof(f35852,plain,( 56.32/7.43 ( ! [X10,X11] : (is_a_theorem(strict_implies(X11,or(X10,possibly(X11))))) ) | ~spl94_570), 56.32/7.43 inference(superposition,[],[f35170,f970])). 56.32/7.43 fof(f35170,plain,( 56.32/7.43 ( ! [X3,X4] : (is_a_theorem(strict_implies(X3,implies(X4,possibly(X3))))) ) | ~spl94_570), 56.32/7.43 inference(avatar_component_clause,[],[f35169])). 56.32/7.43 fof(f36103,plain,( 56.32/7.43 spl94_573 | ~spl94_569), 56.32/7.43 inference(avatar_split_clause,[],[f35701,f35165,f36101])). 56.32/7.43 fof(f35165,plain,( 56.32/7.43 spl94_569 <=> ! [X2,X1] : (is_a_theorem(implies(X1,possibly(X2))) | ~is_a_theorem(X2))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_569])])). 56.32/7.43 fof(f35701,plain,( 56.32/7.43 ( ! [X10,X11] : (is_a_theorem(or(X10,possibly(X11))) | ~is_a_theorem(X11)) ) | ~spl94_569), 56.32/7.43 inference(superposition,[],[f35166,f970])). 56.32/7.43 fof(f35166,plain,( 56.32/7.43 ( ! [X2,X1] : (is_a_theorem(implies(X1,possibly(X2))) | ~is_a_theorem(X2)) ) | ~spl94_569), 56.32/7.43 inference(avatar_component_clause,[],[f35165])). 56.32/7.43 fof(f36007,plain,( 56.32/7.43 spl94_572 | ~spl94_569), 56.32/7.43 inference(avatar_split_clause,[],[f35671,f35165,f36005])). 56.32/7.43 fof(f36005,plain,( 56.32/7.43 spl94_572 <=> ! [X2,X3] : (~is_a_theorem(X2) | is_a_theorem(strict_implies(X3,possibly(X2))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_572])])). 56.32/7.43 fof(f35671,plain,( 56.32/7.43 ( ! [X2,X3] : (~is_a_theorem(X2) | is_a_theorem(strict_implies(X3,possibly(X2)))) ) | ~spl94_569), 56.32/7.43 inference(resolution,[],[f35166,f866])). 56.32/7.43 fof(f35259,plain,( 56.32/7.43 spl94_571 | ~spl94_553), 56.32/7.43 inference(avatar_split_clause,[],[f34100,f33486,f35257])). 56.32/7.43 fof(f33486,plain,( 56.32/7.43 spl94_553 <=> ! [X4,X3] : is_a_theorem(implies(X3,implies(X4,possibly(X3))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_553])])). 56.32/7.43 fof(f34100,plain,( 56.32/7.43 ( ! [X10,X11] : (is_a_theorem(implies(X11,or(X10,possibly(X11))))) ) | ~spl94_553), 56.32/7.43 inference(superposition,[],[f33487,f970])). 56.32/7.43 fof(f33487,plain,( 56.32/7.43 ( ! [X3,X4] : (is_a_theorem(implies(X3,implies(X4,possibly(X3))))) ) | ~spl94_553), 56.32/7.43 inference(avatar_component_clause,[],[f33486])). 56.32/7.43 fof(f35171,plain,( 56.32/7.43 spl94_570 | ~spl94_553), 56.32/7.43 inference(avatar_split_clause,[],[f34073,f33486,f35169])). 56.32/7.43 fof(f34073,plain,( 56.32/7.43 ( ! [X3,X4] : (is_a_theorem(strict_implies(X3,implies(X4,possibly(X3))))) ) | ~spl94_553), 56.32/7.43 inference(resolution,[],[f33487,f866])). 56.32/7.43 fof(f35167,plain,( 56.32/7.43 spl94_569 | ~spl94_553), 56.32/7.43 inference(avatar_split_clause,[],[f34072,f33486,f35165])). 56.32/7.43 fof(f34072,plain,( 56.32/7.43 ( ! [X2,X1] : (is_a_theorem(implies(X1,possibly(X2))) | ~is_a_theorem(X2)) ) | ~spl94_553), 56.32/7.43 inference(resolution,[],[f33487,f489])). 56.32/7.43 fof(f34967,plain,( 56.32/7.43 spl94_568 | ~spl94_543), 56.32/7.43 inference(avatar_split_clause,[],[f33551,f33446,f34965])). 56.32/7.43 fof(f34965,plain,( 56.32/7.43 spl94_568 <=> ! [X5] : (~is_a_theorem(X5) | not(X5) = not(sK80))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_568])])). 56.32/7.43 fof(f33446,plain,( 56.32/7.43 spl94_543 <=> ! [X77] : equiv(not(sK80),not(X77)) = X77), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_543])])). 56.32/7.43 fof(f33551,plain,( 56.32/7.43 ( ! [X5] : (~is_a_theorem(X5) | not(X5) = not(sK80)) ) | ~spl94_543), 56.32/7.43 inference(superposition,[],[f488,f33447])). 56.32/7.43 fof(f33447,plain,( 56.32/7.43 ( ! [X77] : (equiv(not(sK80),not(X77)) = X77) ) | ~spl94_543), 56.32/7.43 inference(avatar_component_clause,[],[f33446])). 56.32/7.43 fof(f34879,plain,( 56.32/7.43 spl94_567 | ~spl94_250 | ~spl94_449), 56.32/7.43 inference(avatar_split_clause,[],[f16743,f16739,f3814,f34877])). 56.32/7.43 fof(f34877,plain,( 56.32/7.43 spl94_567 <=> ! [X1] : (possibly(X1) = sK80 | ~is_a_theorem(necessarily(X1)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_567])])). 56.32/7.43 fof(f3814,plain,( 56.32/7.43 spl94_250 <=> ! [X16] : (is_a_theorem(necessarily(possibly(X16))) | ~is_a_theorem(necessarily(X16)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_250])])). 56.32/7.43 fof(f16739,plain,( 56.32/7.43 spl94_449 <=> ! [X0] : (~is_a_theorem(necessarily(X0)) | sK80 = X0)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_449])])). 56.32/7.43 fof(f16743,plain,( 56.32/7.43 ( ! [X1] : (possibly(X1) = sK80 | ~is_a_theorem(necessarily(X1))) ) | (~spl94_250 | ~spl94_449)), 56.32/7.43 inference(resolution,[],[f16740,f3815])). 56.32/7.43 fof(f3815,plain,( 56.32/7.43 ( ! [X16] : (is_a_theorem(necessarily(possibly(X16))) | ~is_a_theorem(necessarily(X16))) ) | ~spl94_250), 56.32/7.43 inference(avatar_component_clause,[],[f3814])). 56.32/7.43 fof(f16740,plain,( 56.32/7.43 ( ! [X0] : (~is_a_theorem(necessarily(X0)) | sK80 = X0) ) | ~spl94_449), 56.32/7.43 inference(avatar_component_clause,[],[f16739])). 56.32/7.43 fof(f33598,plain,( 56.32/7.43 spl94_566 | ~spl94_511), 56.32/7.43 inference(avatar_split_clause,[],[f25404,f25380,f33596])). 56.32/7.43 fof(f33596,plain,( 56.32/7.43 spl94_566 <=> ! [X13,X12,X14] : (~is_a_theorem(or(X12,X13)) | is_a_theorem(or(X13,X14)) | ~is_a_theorem(implies(X12,X14)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_566])])). 56.32/7.43 fof(f25404,plain,( 56.32/7.43 ( ! [X14,X12,X13] : (~is_a_theorem(or(X12,X13)) | is_a_theorem(or(X13,X14)) | ~is_a_theorem(implies(X12,X14))) ) | ~spl94_511), 56.32/7.43 inference(resolution,[],[f25381,f489])). 56.32/7.43 fof(f33536,plain,( 56.32/7.43 spl94_565 | ~spl94_257 | ~spl94_316 | ~spl94_463), 56.32/7.43 inference(avatar_split_clause,[],[f25329,f19244,f6182,f4205,f33534])). 56.32/7.43 fof(f33534,plain,( 56.32/7.43 spl94_565 <=> ! [X2,X0,X1] : (~is_a_theorem(or(X2,X0)) | is_a_theorem(strict_implies(implies(X2,X1),or(X0,X1))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_565])])). 56.32/7.43 fof(f25329,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (~is_a_theorem(or(X2,X0)) | is_a_theorem(strict_implies(implies(X2,X1),or(X0,X1)))) ) | (~spl94_257 | ~spl94_316 | ~spl94_463)), 56.32/7.43 inference(forward_demodulation,[],[f25326,f19311])). 56.32/7.43 fof(f25326,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (is_a_theorem(strict_implies(implies(X2,X1),or(X0,X1))) | ~is_a_theorem(implies(not(X0),X2))) )), 56.32/7.43 inference(superposition,[],[f1738,f970])). 56.32/7.43 fof(f1738,plain,( 56.32/7.43 ( ! [X2,X3,X4] : (is_a_theorem(strict_implies(implies(X3,X4),implies(X2,X4))) | ~is_a_theorem(implies(X2,X3))) )), 56.32/7.43 inference(resolution,[],[f1151,f866])). 56.32/7.43 fof(f33532,plain,( 56.32/7.43 spl94_564 | ~spl94_257 | ~spl94_538), 56.32/7.43 inference(avatar_split_clause,[],[f33315,f32386,f4205,f33530])). 56.32/7.43 fof(f33530,plain,( 56.32/7.43 spl94_564 <=> ! [X66] : not(sK80) = and(X66,not(sK80))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_564])])). 56.32/7.43 fof(f32386,plain,( 56.32/7.43 spl94_538 <=> ! [X3] : sK80 = not(and(X3,not(sK80)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_538])])). 56.32/7.43 fof(f33315,plain,( 56.32/7.43 ( ! [X66] : (not(sK80) = and(X66,not(sK80))) ) | (~spl94_257 | ~spl94_538)), 56.32/7.43 inference(superposition,[],[f4206,f32387])). 56.32/7.43 fof(f32387,plain,( 56.32/7.43 ( ! [X3] : (sK80 = not(and(X3,not(sK80)))) ) | ~spl94_538), 56.32/7.43 inference(avatar_component_clause,[],[f32386])). 56.32/7.43 fof(f33528,plain,( 56.32/7.43 spl94_563 | ~spl94_257 | ~spl94_537), 56.32/7.43 inference(avatar_split_clause,[],[f33147,f32382,f4205,f33526])). 56.32/7.43 fof(f33526,plain,( 56.32/7.43 spl94_563 <=> ! [X71] : not(sK80) = and(not(sK80),X71)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_563])])). 56.32/7.43 fof(f32382,plain,( 56.32/7.43 spl94_537 <=> ! [X2] : sK80 = not(and(not(sK80),X2))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_537])])). 56.32/7.43 fof(f33147,plain,( 56.32/7.43 ( ! [X71] : (not(sK80) = and(not(sK80),X71)) ) | (~spl94_257 | ~spl94_537)), 56.32/7.43 inference(superposition,[],[f4206,f32383])). 56.32/7.43 fof(f32383,plain,( 56.32/7.43 ( ! [X2] : (sK80 = not(and(not(sK80),X2))) ) | ~spl94_537), 56.32/7.43 inference(avatar_component_clause,[],[f32382])). 56.32/7.43 fof(f33524,plain,( 56.32/7.43 spl94_562 | ~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_326), 56.32/7.43 inference(avatar_split_clause,[],[f24978,f6428,f5571,f4210,f2325,f33522])). 56.32/7.43 fof(f33522,plain,( 56.32/7.43 spl94_562 <=> ! [X54,X55] : is_a_theorem(equiv(implies(X54,not(possibly(X55))),implies(possibly(X55),not(X54))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_562])])). 56.32/7.43 fof(f6428,plain,( 56.32/7.43 spl94_326 <=> ! [X32,X33,X31] : is_a_theorem(or(and(implies(X31,X32),X33),implies(X33,and(X31,not(X32)))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_326])])). 56.32/7.43 fof(f24978,plain,( 56.32/7.43 ( ! [X54,X55] : (is_a_theorem(equiv(implies(X54,not(possibly(X55))),implies(possibly(X55),not(X54))))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_326)), 56.32/7.43 inference(subsumption_resolution,[],[f4745,f6666])). 56.32/7.43 fof(f6666,plain,( 56.32/7.43 ( ! [X3,X4] : (is_a_theorem(or(and(X3,X4),implies(X4,not(X3))))) ) | (~spl94_191 | ~spl94_280 | ~spl94_326)), 56.32/7.43 inference(forward_demodulation,[],[f6650,f2326])). 56.32/7.43 fof(f6650,plain,( 56.32/7.43 ( ! [X3,X4] : (is_a_theorem(or(and(X3,X4),implies(X4,and(not(X3),not(X3)))))) ) | (~spl94_280 | ~spl94_326)), 56.32/7.43 inference(superposition,[],[f6429,f5572])). 56.32/7.43 fof(f6429,plain,( 56.32/7.43 ( ! [X31,X32,X33] : (is_a_theorem(or(and(implies(X31,X32),X33),implies(X33,and(X31,not(X32)))))) ) | ~spl94_326), 56.32/7.43 inference(avatar_component_clause,[],[f6428])). 56.32/7.43 fof(f4745,plain,( 56.32/7.43 ( ! [X54,X55] : (is_a_theorem(equiv(implies(X54,not(possibly(X55))),implies(possibly(X55),not(X54)))) | ~is_a_theorem(or(and(X54,possibly(X55)),implies(possibly(X55),not(X54))))) ) | (~spl94_191 | ~spl94_258)), 56.32/7.43 inference(backward_demodulation,[],[f3901,f4680])). 56.32/7.43 fof(f3901,plain,( 56.32/7.43 ( ! [X54,X55] : (~is_a_theorem(or(and(X54,possibly(X55)),implies(possibly(X55),not(X54)))) | is_a_theorem(equiv(implies(X54,necessarily(not(X55))),implies(possibly(X55),not(X54))))) )), 56.32/7.43 inference(forward_demodulation,[],[f3864,f1592])). 56.32/7.43 fof(f1592,plain,( 56.32/7.43 ( ! [X18,X16,X17] : (or(and(X16,possibly(X17)),X18) = implies(implies(X16,necessarily(not(X17))),X18)) )), 56.32/7.43 inference(superposition,[],[f970,f953])). 56.32/7.43 fof(f3864,plain,( 56.32/7.43 ( ! [X54,X55] : (is_a_theorem(equiv(implies(X54,necessarily(not(X55))),implies(possibly(X55),not(X54)))) | ~is_a_theorem(implies(implies(X54,necessarily(not(X55))),implies(possibly(X55),not(X54))))) )), 56.32/7.43 inference(resolution,[],[f1730,f1541])). 56.32/7.43 fof(f1541,plain,( 56.32/7.43 ( ! [X21,X22] : (is_a_theorem(implies(implies(possibly(X21),not(X22)),implies(X22,necessarily(not(X21)))))) )), 56.32/7.43 inference(superposition,[],[f979,f974])). 56.32/7.43 fof(f974,plain,( 56.32/7.43 ( ! [X0,X1] : (or(necessarily(not(X0)),X1) = implies(possibly(X0),X1)) )), 56.32/7.43 inference(forward_demodulation,[],[f964,f468])). 56.32/7.43 fof(f964,plain,( 56.32/7.43 ( ! [X0,X1] : (or(necessarily(not(X0)),X1) = not(and(possibly(X0),not(X1)))) )), 56.32/7.43 inference(superposition,[],[f471,f470])). 56.32/7.43 fof(f33520,plain,( 56.32/7.43 spl94_561 | ~spl94_535), 56.32/7.43 inference(avatar_split_clause,[],[f33015,f32279,f33518])). 56.32/7.43 fof(f33518,plain,( 56.32/7.43 spl94_561 <=> ! [X2] : (~is_a_theorem(not(X2)) | not(sK80) = X2)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_561])])). 56.32/7.43 fof(f32279,plain,( 56.32/7.43 spl94_535 <=> ! [X5] : not(X5) = equiv(not(sK80),X5)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_535])])). 56.32/7.43 fof(f33015,plain,( 56.32/7.43 ( ! [X2] : (~is_a_theorem(not(X2)) | not(sK80) = X2) ) | ~spl94_535), 56.32/7.43 inference(superposition,[],[f488,f32280])). 56.32/7.43 fof(f32280,plain,( 56.32/7.43 ( ! [X5] : (not(X5) = equiv(not(sK80),X5)) ) | ~spl94_535), 56.32/7.43 inference(avatar_component_clause,[],[f32279])). 56.32/7.43 fof(f33516,plain,( 56.32/7.43 spl94_560 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_463), 56.32/7.43 inference(avatar_split_clause,[],[f19531,f19244,f5571,f4210,f4205,f2325,f33514])). 56.32/7.43 fof(f33514,plain,( 56.32/7.43 spl94_560 <=> ! [X22,X23] : is_a_theorem(implies(equiv(X22,X23),and(implies(X22,X23),equiv(X22,X23))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_560])])). 56.32/7.43 fof(f19531,plain,( 56.32/7.43 ( ! [X22,X23] : (is_a_theorem(implies(equiv(X22,X23),and(implies(X22,X23),equiv(X22,X23))))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_463)), 56.32/7.43 inference(backward_demodulation,[],[f6261,f19323])). 56.32/7.43 fof(f6261,plain,( 56.32/7.43 ( ! [X22,X23] : (is_a_theorem(or(and(implies(X22,X23),equiv(X22,X23)),not(equiv(X22,X23))))) ) | ~spl94_257), 56.32/7.43 inference(forward_demodulation,[],[f6204,f5200])). 56.32/7.43 fof(f6204,plain,( 56.32/7.43 ( ! [X22,X23] : (is_a_theorem(implies(implies(implies(X22,X23),not(equiv(X22,X23))),not(equiv(X22,X23))))) )), 56.32/7.43 inference(superposition,[],[f497,f1754])). 56.32/7.43 fof(f497,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))) )), 56.32/7.43 inference(subsumption_resolution,[],[f450,f339])). 56.32/7.43 fof(f339,plain,( 56.32/7.43 implies_2), 56.32/7.43 inference(cnf_transformation,[],[f33])). 56.32/7.43 fof(f33,axiom,( 56.32/7.43 implies_2), 56.32/7.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_2)). 56.32/7.43 fof(f450,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) | ~implies_2) )), 56.32/7.43 inference(cnf_transformation,[],[f291])). 56.32/7.43 fof(f291,plain,( 56.32/7.43 (! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) | ~implies_2) & (implies_2 | ~is_a_theorem(implies(implies(sK74,implies(sK74,sK75)),implies(sK74,sK75))))), 56.32/7.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK74,sK75])],[f289,f290])). 56.32/7.43 fof(f290,plain,( 56.32/7.43 ? [X2,X3] : ~is_a_theorem(implies(implies(X2,implies(X2,X3)),implies(X2,X3))) => ~is_a_theorem(implies(implies(sK74,implies(sK74,sK75)),implies(sK74,sK75)))), 56.32/7.43 introduced(choice_axiom,[])). 56.32/7.43 fof(f289,plain,( 56.32/7.43 (! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) | ~implies_2) & (implies_2 | ? [X2,X3] : ~is_a_theorem(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))), 56.32/7.43 inference(rectify,[],[f288])). 56.32/7.43 fof(f288,plain,( 56.32/7.43 (! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) | ~implies_2) & (implies_2 | ? [X0,X1] : ~is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))))), 56.32/7.43 inference(nnf_transformation,[],[f18])). 56.32/7.43 fof(f18,axiom,( 56.32/7.43 ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) <=> implies_2), 56.32/7.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_2)). 56.32/7.43 fof(f33512,plain,( 56.32/7.43 spl94_559 | ~spl94_534), 56.32/7.43 inference(avatar_split_clause,[],[f32942,f32123,f33510])). 56.32/7.43 fof(f33510,plain,( 56.32/7.43 spl94_559 <=> ! [X2,X3] : is_a_theorem(strict_implies(necessarily(and(X2,X3)),X3))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_559])])). 56.32/7.43 fof(f32123,plain,( 56.32/7.43 spl94_534 <=> ! [X25,X26] : is_a_theorem(implies(necessarily(and(X25,X26)),X26))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_534])])). 56.32/7.43 fof(f32942,plain,( 56.32/7.43 ( ! [X2,X3] : (is_a_theorem(strict_implies(necessarily(and(X2,X3)),X3))) ) | ~spl94_534), 56.32/7.43 inference(resolution,[],[f32124,f866])). 56.32/7.43 fof(f32124,plain,( 56.32/7.43 ( ! [X26,X25] : (is_a_theorem(implies(necessarily(and(X25,X26)),X26))) ) | ~spl94_534), 56.32/7.43 inference(avatar_component_clause,[],[f32123])). 56.32/7.43 fof(f33508,plain,( 56.32/7.43 spl94_558 | ~spl94_534), 56.32/7.43 inference(avatar_split_clause,[],[f32941,f32123,f33506])). 56.32/7.43 fof(f33506,plain,( 56.32/7.43 spl94_558 <=> ! [X0,X1] : (is_a_theorem(X0) | ~is_a_theorem(necessarily(and(X1,X0))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_558])])). 56.32/7.43 fof(f32941,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(X0) | ~is_a_theorem(necessarily(and(X1,X0)))) ) | ~spl94_534), 56.32/7.43 inference(resolution,[],[f32124,f489])). 56.32/7.43 fof(f33504,plain,( 56.32/7.43 spl94_557 | ~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463), 56.32/7.43 inference(avatar_split_clause,[],[f19331,f19244,f5571,f4210,f2325,f33502])). 56.32/7.43 fof(f33502,plain,( 56.32/7.43 spl94_557 <=> ! [X2,X0,X1] : (~is_a_theorem(implies(X0,X2)) | is_a_theorem(implies(or(X0,X1),or(X2,X1))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_557])])). 56.32/7.43 fof(f19331,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X0,X2)) | is_a_theorem(implies(or(X0,X1),or(X2,X1)))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463)), 56.32/7.43 inference(backward_demodulation,[],[f4009,f19323])). 56.32/7.43 fof(f4009,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (is_a_theorem(implies(or(X0,X1),or(X2,X1))) | ~is_a_theorem(or(X2,not(X0)))) )), 56.32/7.43 inference(superposition,[],[f1742,f970])). 56.32/7.43 fof(f1742,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X2,X1),or(X0,X1))) | ~is_a_theorem(or(X0,X2))) )), 56.32/7.43 inference(forward_demodulation,[],[f1741,f970])). 56.32/7.43 fof(f1741,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X2,X1),or(X0,X1))) | ~is_a_theorem(implies(not(X0),X2))) )), 56.32/7.43 inference(superposition,[],[f1151,f970])). 56.32/7.43 fof(f33500,plain,( 56.32/7.43 spl94_556 | ~spl94_533), 56.32/7.43 inference(avatar_split_clause,[],[f32881,f32070,f33498])). 56.32/7.43 fof(f33498,plain,( 56.32/7.43 spl94_556 <=> ! [X2,X3] : is_a_theorem(strict_implies(necessarily(and(X2,X3)),X2))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_556])])). 56.32/7.43 fof(f32070,plain,( 56.32/7.43 spl94_533 <=> ! [X25,X26] : is_a_theorem(implies(necessarily(and(X25,X26)),X25))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_533])])). 56.32/7.43 fof(f32881,plain,( 56.32/7.43 ( ! [X2,X3] : (is_a_theorem(strict_implies(necessarily(and(X2,X3)),X2))) ) | ~spl94_533), 56.32/7.43 inference(resolution,[],[f32071,f866])). 56.32/7.43 fof(f32071,plain,( 56.32/7.43 ( ! [X26,X25] : (is_a_theorem(implies(necessarily(and(X25,X26)),X25))) ) | ~spl94_533), 56.32/7.43 inference(avatar_component_clause,[],[f32070])). 56.32/7.43 fof(f33496,plain,( 56.32/7.43 spl94_555 | ~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463), 56.32/7.43 inference(avatar_split_clause,[],[f19328,f19244,f5571,f4210,f2325,f33494])). 56.32/7.43 fof(f33494,plain,( 56.32/7.43 spl94_555 <=> ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(or(X0,X1),or(X2,X1))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_555])])). 56.32/7.43 fof(f19328,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X2),implies(or(X0,X1),or(X2,X1))))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463)), 56.32/7.43 inference(backward_demodulation,[],[f3607,f19323])). 56.32/7.43 fof(f3607,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (is_a_theorem(implies(or(X2,not(X0)),implies(or(X0,X1),or(X2,X1))))) )), 56.32/7.43 inference(superposition,[],[f1363,f970])). 56.32/7.43 fof(f1363,plain,( 56.32/7.43 ( ! [X21,X22,X20] : (is_a_theorem(implies(or(X20,X21),implies(implies(X21,X22),or(X20,X22))))) )), 56.32/7.43 inference(forward_demodulation,[],[f1343,f970])). 56.32/7.43 fof(f1343,plain,( 56.32/7.43 ( ! [X21,X22,X20] : (is_a_theorem(implies(or(X20,X21),implies(implies(X21,X22),implies(not(X20),X22))))) )), 56.32/7.43 inference(superposition,[],[f500,f970])). 56.32/7.43 fof(f33492,plain,( 56.32/7.43 spl94_554 | ~spl94_533), 56.32/7.43 inference(avatar_split_clause,[],[f32880,f32070,f33490])). 56.32/7.43 fof(f33490,plain,( 56.32/7.43 spl94_554 <=> ! [X0,X1] : (is_a_theorem(X0) | ~is_a_theorem(necessarily(and(X0,X1))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_554])])). 56.32/7.43 fof(f32880,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(X0) | ~is_a_theorem(necessarily(and(X0,X1)))) ) | ~spl94_533), 56.32/7.43 inference(resolution,[],[f32071,f489])). 56.32/7.43 fof(f33488,plain,( 56.32/7.43 spl94_553 | ~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_312 | ~spl94_463 | ~spl94_530), 56.32/7.43 inference(avatar_split_clause,[],[f32628,f31923,f19244,f6140,f5571,f4210,f2325,f33486])). 56.32/7.43 fof(f31923,plain,( 56.32/7.43 spl94_530 <=> ! [X102,X101] : is_a_theorem(implies(and(X101,necessarily(X102)),X102))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_530])])). 56.32/7.43 fof(f32628,plain,( 56.32/7.43 ( ! [X3,X4] : (is_a_theorem(implies(X3,implies(X4,possibly(X3))))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_312 | ~spl94_463 | ~spl94_530)), 56.32/7.43 inference(forward_demodulation,[],[f32627,f19323])). 56.32/7.43 fof(f32627,plain,( 56.32/7.43 ( ! [X3,X4] : (is_a_theorem(or(implies(X4,possibly(X3)),not(X3)))) ) | (~spl94_191 | ~spl94_280 | ~spl94_312 | ~spl94_530)), 56.32/7.43 inference(forward_demodulation,[],[f32601,f8191])). 56.32/7.43 fof(f32601,plain,( 56.32/7.43 ( ! [X3,X4] : (is_a_theorem(implies(and(X4,not(possibly(X3))),not(X3)))) ) | (~spl94_312 | ~spl94_530)), 56.32/7.43 inference(superposition,[],[f31924,f6141])). 56.32/7.43 fof(f31924,plain,( 56.32/7.43 ( ! [X101,X102] : (is_a_theorem(implies(and(X101,necessarily(X102)),X102))) ) | ~spl94_530), 56.32/7.43 inference(avatar_component_clause,[],[f31923])). 56.32/7.43 fof(f33484,plain,( 56.32/7.43 spl94_552 | ~spl94_462), 56.32/7.43 inference(avatar_split_clause,[],[f17620,f17454,f33482])). 56.32/7.43 fof(f33482,plain,( 56.32/7.43 spl94_552 <=> ! [X27,X28,X26] : (is_a_theorem(implies(X26,implies(implies(X28,X27),X27))) | ~is_a_theorem(implies(X26,X28)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_552])])). 56.32/7.43 fof(f17620,plain,( 56.32/7.43 ( ! [X28,X26,X27] : (is_a_theorem(implies(X26,implies(implies(X28,X27),X27))) | ~is_a_theorem(implies(X26,X28))) ) | ~spl94_462), 56.32/7.43 inference(backward_demodulation,[],[f3948,f17491])). 56.32/7.43 fof(f17491,plain,( 56.32/7.43 ( ! [X8,X9,X7] : (implies(implies(X7,X8),X9) = or(X9,and(X7,not(X8)))) ) | ~spl94_462), 56.32/7.43 inference(superposition,[],[f17455,f975])). 56.32/7.43 fof(f3948,plain,( 56.32/7.43 ( ! [X28,X26,X27] : (is_a_theorem(implies(X26,or(X27,and(X28,not(X27))))) | ~is_a_theorem(implies(X26,X28))) )), 56.32/7.43 inference(resolution,[],[f1739,f1354])). 56.32/7.43 fof(f1354,plain,( 56.32/7.43 ( ! [X48,X47] : (is_a_theorem(implies(X48,or(X47,and(X48,not(X47)))))) )), 56.32/7.43 inference(superposition,[],[f484,f970])). 56.32/7.43 fof(f33480,plain,( 56.32/7.43 spl94_551 | ~spl94_530), 56.32/7.43 inference(avatar_split_clause,[],[f32577,f31923,f33478])). 56.32/7.43 fof(f33478,plain,( 56.32/7.43 spl94_551 <=> ! [X2,X3] : is_a_theorem(strict_implies(and(X2,necessarily(X3)),X3))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_551])])). 56.32/7.43 fof(f32577,plain,( 56.32/7.43 ( ! [X2,X3] : (is_a_theorem(strict_implies(and(X2,necessarily(X3)),X3))) ) | ~spl94_530), 56.32/7.43 inference(resolution,[],[f31924,f866])). 56.32/7.43 fof(f33476,plain,( 56.32/7.43 spl94_550 | ~spl94_326), 56.32/7.43 inference(avatar_split_clause,[],[f9594,f6428,f33474])). 56.32/7.43 fof(f9594,plain,( 56.32/7.43 ( ! [X21,X22,X23] : (is_a_theorem(implies(and(X21,implies(X22,X23)),and(implies(X22,X23),X21)))) ) | ~spl94_326), 56.32/7.43 inference(resolution,[],[f1766,f6429])). 56.32/7.43 fof(f1766,plain,( 56.32/7.43 ( ! [X46,X44,X45,X43] : (~is_a_theorem(or(X46,implies(X43,and(X44,not(X45))))) | is_a_theorem(implies(and(X43,implies(X44,X45)),X46))) )), 56.32/7.43 inference(superposition,[],[f1004,f954])). 56.32/7.43 fof(f33472,plain,( 56.32/7.43 spl94_549 | ~spl94_530), 56.32/7.43 inference(avatar_split_clause,[],[f32576,f31923,f33470])). 56.32/7.43 fof(f33470,plain,( 56.32/7.43 spl94_549 <=> ! [X0,X1] : (is_a_theorem(X0) | ~is_a_theorem(and(X1,necessarily(X0))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_549])])). 56.32/7.43 fof(f32576,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(X0) | ~is_a_theorem(and(X1,necessarily(X0)))) ) | ~spl94_530), 56.32/7.43 inference(resolution,[],[f31924,f489])). 56.32/7.43 fof(f33468,plain,( 56.32/7.43 spl94_548 | ~spl94_529), 56.32/7.43 inference(avatar_split_clause,[],[f32477,f31919,f33466])). 56.32/7.43 fof(f33466,plain,( 56.32/7.43 spl94_548 <=> ! [X2,X3] : is_a_theorem(strict_implies(and(necessarily(X2),X3),X2))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_548])])). 56.32/7.43 fof(f31919,plain,( 56.32/7.43 spl94_529 <=> ! [X100,X101] : is_a_theorem(implies(and(necessarily(X100),X101),X100))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_529])])). 56.32/7.43 fof(f32477,plain,( 56.32/7.43 ( ! [X2,X3] : (is_a_theorem(strict_implies(and(necessarily(X2),X3),X2))) ) | ~spl94_529), 56.32/7.43 inference(resolution,[],[f31920,f866])). 56.32/7.43 fof(f31920,plain,( 56.32/7.43 ( ! [X101,X100] : (is_a_theorem(implies(and(necessarily(X100),X101),X100))) ) | ~spl94_529), 56.32/7.43 inference(avatar_component_clause,[],[f31919])). 56.32/7.43 fof(f33464,plain,( 56.32/7.43 spl94_547 | ~spl94_301), 56.32/7.43 inference(avatar_split_clause,[],[f5986,f5931,f33462])). 56.32/7.43 fof(f33462,plain,( 56.32/7.43 spl94_547 <=> ! [X8,X7] : (~is_a_theorem(strict_implies(X7,not(X8))) | is_a_theorem(not(possibly(X8))) | ~is_a_theorem(necessarily(X7)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_547])])). 56.32/7.43 fof(f5931,plain,( 56.32/7.43 spl94_301 <=> ! [X165,X164] : (is_a_theorem(implies(necessarily(X164),not(possibly(X165)))) | ~is_a_theorem(strict_implies(X164,not(X165))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_301])])). 56.32/7.43 fof(f5986,plain,( 56.32/7.43 ( ! [X8,X7] : (~is_a_theorem(strict_implies(X7,not(X8))) | is_a_theorem(not(possibly(X8))) | ~is_a_theorem(necessarily(X7))) ) | ~spl94_301), 56.32/7.43 inference(resolution,[],[f5932,f489])). 56.32/7.43 fof(f5932,plain,( 56.32/7.43 ( ! [X164,X165] : (is_a_theorem(implies(necessarily(X164),not(possibly(X165)))) | ~is_a_theorem(strict_implies(X164,not(X165)))) ) | ~spl94_301), 56.32/7.43 inference(avatar_component_clause,[],[f5931])). 56.32/7.43 fof(f33460,plain,( 56.32/7.43 spl94_546 | ~spl94_529), 56.32/7.43 inference(avatar_split_clause,[],[f32476,f31919,f33458])). 56.32/7.43 fof(f33458,plain,( 56.32/7.43 spl94_546 <=> ! [X0,X1] : (is_a_theorem(X0) | ~is_a_theorem(and(necessarily(X0),X1)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_546])])). 56.32/7.43 fof(f32476,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(X0) | ~is_a_theorem(and(necessarily(X0),X1))) ) | ~spl94_529), 56.32/7.43 inference(resolution,[],[f31920,f489])). 56.32/7.43 fof(f33456,plain,( 56.32/7.43 spl94_545 | ~spl94_301), 56.32/7.43 inference(avatar_split_clause,[],[f5985,f5931,f33454])). 56.32/7.43 fof(f33454,plain,( 56.32/7.43 spl94_545 <=> ! [X6,X5] : (~is_a_theorem(strict_implies(X5,not(X6))) | is_a_theorem(strict_implies(necessarily(X5),not(possibly(X6)))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_545])])). 56.32/7.43 fof(f5985,plain,( 56.32/7.43 ( ! [X6,X5] : (~is_a_theorem(strict_implies(X5,not(X6))) | is_a_theorem(strict_implies(necessarily(X5),not(possibly(X6))))) ) | ~spl94_301), 56.32/7.43 inference(resolution,[],[f5932,f866])). 56.32/7.43 fof(f33452,plain,( 56.32/7.43 spl94_544 | ~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_397 | ~spl94_430 | ~spl94_444 | ~spl94_463), 56.32/7.43 inference(avatar_split_clause,[],[f19688,f19244,f15630,f13965,f10517,f5571,f4210,f2325,f33450])). 56.32/7.43 fof(f33450,plain,( 56.32/7.43 spl94_544 <=> ! [X78] : equiv(not(X78),not(sK80)) = X78), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_544])])). 56.32/7.43 fof(f13965,plain,( 56.32/7.43 spl94_430 <=> ! [X0] : and(X0,sK80) = X0), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_430])])). 56.32/7.43 fof(f15630,plain,( 56.32/7.43 spl94_444 <=> ! [X16] : sK80 = implies(not(sK80),X16)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_444])])). 56.32/7.43 fof(f19688,plain,( 56.32/7.43 ( ! [X78] : (equiv(not(X78),not(sK80)) = X78) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_397 | ~spl94_430 | ~spl94_444 | ~spl94_463)), 56.32/7.43 inference(forward_demodulation,[],[f19516,f10518])). 56.32/7.43 fof(f19516,plain,( 56.32/7.43 ( ! [X78] : (implies(sK80,X78) = equiv(not(X78),not(sK80))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_430 | ~spl94_444 | ~spl94_463)), 56.32/7.43 inference(backward_demodulation,[],[f16281,f19323])). 56.32/7.43 fof(f16281,plain,( 56.32/7.43 ( ! [X78] : (equiv(not(X78),not(sK80)) = or(X78,not(sK80))) ) | (~spl94_430 | ~spl94_444)), 56.32/7.43 inference(forward_demodulation,[],[f16221,f13966])). 56.32/7.43 fof(f13966,plain,( 56.32/7.43 ( ! [X0] : (and(X0,sK80) = X0) ) | ~spl94_430), 56.32/7.43 inference(avatar_component_clause,[],[f13965])). 56.32/7.43 fof(f16221,plain,( 56.32/7.43 ( ! [X78] : (equiv(not(X78),not(sK80)) = and(or(X78,not(sK80)),sK80)) ) | ~spl94_444), 56.32/7.43 inference(superposition,[],[f1334,f15631])). 56.32/7.43 fof(f15631,plain,( 56.32/7.43 ( ! [X16] : (sK80 = implies(not(sK80),X16)) ) | ~spl94_444), 56.32/7.43 inference(avatar_component_clause,[],[f15630])). 56.32/7.43 fof(f33448,plain,( 56.32/7.43 spl94_543 | ~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_386 | ~spl94_397 | ~spl94_444 | ~spl94_463), 56.32/7.43 inference(avatar_split_clause,[],[f19687,f19244,f15630,f10517,f10083,f5571,f4210,f2325,f33446])). 56.32/7.43 fof(f10083,plain,( 56.32/7.43 spl94_386 <=> ! [X398] : and(sK80,X398) = X398), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_386])])). 56.32/7.43 fof(f19687,plain,( 56.32/7.43 ( ! [X77] : (equiv(not(sK80),not(X77)) = X77) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_386 | ~spl94_397 | ~spl94_444 | ~spl94_463)), 56.32/7.43 inference(forward_demodulation,[],[f19515,f10518])). 56.32/7.43 fof(f19515,plain,( 56.32/7.43 ( ! [X77] : (equiv(not(sK80),not(X77)) = implies(sK80,X77)) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_386 | ~spl94_444 | ~spl94_463)), 56.32/7.43 inference(backward_demodulation,[],[f16280,f19323])). 56.32/7.43 fof(f16280,plain,( 56.32/7.43 ( ! [X77] : (equiv(not(sK80),not(X77)) = or(X77,not(sK80))) ) | (~spl94_386 | ~spl94_444)), 56.32/7.43 inference(forward_demodulation,[],[f16220,f10084])). 56.32/7.43 fof(f10084,plain,( 56.32/7.43 ( ! [X398] : (and(sK80,X398) = X398) ) | ~spl94_386), 56.32/7.43 inference(avatar_component_clause,[],[f10083])). 56.32/7.43 fof(f16220,plain,( 56.32/7.43 ( ! [X77] : (equiv(not(sK80),not(X77)) = and(sK80,or(X77,not(sK80)))) ) | ~spl94_444), 56.32/7.43 inference(superposition,[],[f1335,f15631])). 56.32/7.43 fof(f1335,plain,( 56.32/7.43 ( ! [X4,X5] : (equiv(X5,not(X4)) = and(implies(X5,not(X4)),or(X4,X5))) )), 56.32/7.43 inference(superposition,[],[f472,f970])). 56.32/7.43 fof(f33444,plain,( 56.32/7.43 spl94_542 | ~spl94_270), 56.32/7.43 inference(avatar_split_clause,[],[f4981,f4842,f33442])). 56.32/7.43 fof(f4842,plain,( 56.32/7.43 spl94_270 <=> ! [X0,X1] : implies(X1,necessarily(not(X0))) = implies(X1,not(possibly(X0)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_270])])). 56.32/7.43 fof(f4981,plain,( 56.32/7.43 ( ! [X162,X163] : (is_a_theorem(strict_implies(strict_implies(X162,not(X163)),implies(necessarily(X162),not(possibly(X163)))))) ) | ~spl94_270), 56.32/7.43 inference(superposition,[],[f1090,f4843])). 56.32/7.43 fof(f4843,plain,( 56.32/7.43 ( ! [X0,X1] : (implies(X1,necessarily(not(X0))) = implies(X1,not(possibly(X0)))) ) | ~spl94_270), 56.32/7.43 inference(avatar_component_clause,[],[f4842])). 56.32/7.43 fof(f1090,plain,( 56.32/7.43 ( ! [X24,X25] : (is_a_theorem(strict_implies(strict_implies(X24,X25),implies(necessarily(X24),necessarily(X25))))) )), 56.32/7.43 inference(resolution,[],[f866,f499])). 56.32/7.43 fof(f33283,plain,( 56.32/7.43 spl94_541 | ~spl94_191 | ~spl94_258), 56.32/7.43 inference(avatar_split_clause,[],[f4729,f4210,f2325,f33281])). 56.32/7.43 fof(f33281,plain,( 56.32/7.43 spl94_541 <=> ! [X0,X1] : is_a_theorem(strict_implies(implies(possibly(X0),not(X1)),implies(X1,not(possibly(X0)))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_541])])). 56.32/7.43 fof(f4729,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(strict_implies(implies(possibly(X0),not(X1)),implies(X1,not(possibly(X0)))))) ) | (~spl94_191 | ~spl94_258)), 56.32/7.43 inference(backward_demodulation,[],[f2455,f4680])). 56.32/7.43 fof(f2455,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(strict_implies(implies(possibly(X0),not(X1)),implies(X1,necessarily(not(X0)))))) )), 56.32/7.43 inference(superposition,[],[f1087,f974])). 56.32/7.43 fof(f1087,plain,( 56.32/7.43 ( ! [X18,X19] : (is_a_theorem(strict_implies(or(X18,not(X19)),implies(X19,X18)))) )), 56.32/7.43 inference(resolution,[],[f866,f979])). 56.32/7.43 fof(f33062,plain,( 56.32/7.43 spl94_540 | ~spl94_257), 56.32/7.43 inference(avatar_split_clause,[],[f4368,f4205,f33060])). 56.32/7.43 fof(f4368,plain,( 56.32/7.43 ( ! [X101,X102,X100] : (~is_a_theorem(implies(X100,or(X102,X101))) | is_a_theorem(implies(X100,or(X101,X102)))) ) | ~spl94_257), 56.32/7.43 inference(backward_demodulation,[],[f3970,f4206])). 56.32/7.43 fof(f3970,plain,( 56.32/7.43 ( ! [X101,X102,X100] : (is_a_theorem(implies(X100,or(X101,X102))) | ~is_a_theorem(implies(X100,or(X102,not(not(X101)))))) )), 56.32/7.43 inference(resolution,[],[f1739,f1351])). 56.32/7.43 fof(f1351,plain,( 56.32/7.43 ( ! [X41,X42] : (is_a_theorem(implies(or(X42,not(not(X41))),or(X41,X42)))) )), 56.32/7.43 inference(superposition,[],[f979,f970])). 56.32/7.43 fof(f33008,plain,( 56.32/7.43 spl94_539 | ~spl94_83), 56.32/7.43 inference(avatar_split_clause,[],[f4073,f911,f33006])). 56.32/7.43 fof(f33006,plain,( 56.32/7.43 spl94_539 <=> ! [X2,X0,X1] : (is_a_theorem(implies(or(X0,X1),X2)) | ~is_a_theorem(not(X0)) | ~is_a_theorem(not(X1)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_539])])). 56.32/7.43 fof(f911,plain,( 56.32/7.43 spl94_83 <=> ! [X2,X3] : (is_a_theorem(and(X2,X3)) | ~is_a_theorem(X2) | ~is_a_theorem(X3))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_83])])). 56.32/7.43 fof(f4073,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (is_a_theorem(implies(or(X0,X1),X2)) | ~is_a_theorem(not(X0)) | ~is_a_theorem(not(X1))) ) | ~spl94_83), 56.32/7.43 inference(resolution,[],[f1800,f912])). 56.32/7.43 fof(f912,plain,( 56.32/7.43 ( ! [X2,X3] : (is_a_theorem(and(X2,X3)) | ~is_a_theorem(X2) | ~is_a_theorem(X3)) ) | ~spl94_83), 56.32/7.43 inference(avatar_component_clause,[],[f911])). 56.32/7.43 fof(f1800,plain,( 56.32/7.43 ( ! [X18,X16,X17] : (~is_a_theorem(and(not(X16),not(X17))) | is_a_theorem(implies(or(X16,X17),X18))) )), 56.32/7.43 inference(superposition,[],[f869,f976])). 56.32/7.43 fof(f976,plain,( 56.32/7.43 ( ! [X6,X7,X5] : (or(and(not(X5),not(X6)),X7) = implies(or(X5,X6),X7)) )), 56.32/7.43 inference(forward_demodulation,[],[f966,f468])). 56.32/7.43 fof(f966,plain,( 56.32/7.43 ( ! [X6,X7,X5] : (or(and(not(X5),not(X6)),X7) = not(and(or(X5,X6),not(X7)))) )), 56.32/7.43 inference(superposition,[],[f471,f471])). 56.32/7.43 fof(f32388,plain,( 56.32/7.43 spl94_538 | ~spl94_479 | ~spl94_515), 56.32/7.43 inference(avatar_split_clause,[],[f29945,f28787,f20496,f32386])). 56.32/7.43 fof(f20496,plain,( 56.32/7.43 spl94_479 <=> ! [X27,X26] : sK80 = implies(and(X26,X27),X27)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_479])])). 56.32/7.43 fof(f29945,plain,( 56.32/7.43 ( ! [X3] : (sK80 = not(and(X3,not(sK80)))) ) | (~spl94_479 | ~spl94_515)), 56.32/7.43 inference(superposition,[],[f20497,f28788])). 56.32/7.43 fof(f20497,plain,( 56.32/7.43 ( ! [X26,X27] : (sK80 = implies(and(X26,X27),X27)) ) | ~spl94_479), 56.32/7.43 inference(avatar_component_clause,[],[f20496])). 56.32/7.43 fof(f32384,plain,( 56.32/7.43 spl94_537 | ~spl94_478 | ~spl94_515), 56.32/7.43 inference(avatar_split_clause,[],[f29837,f28787,f20448,f32382])). 56.32/7.43 fof(f20448,plain,( 56.32/7.43 spl94_478 <=> ! [X25,X24] : sK80 = implies(and(X24,X25),X24)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_478])])). 56.32/7.43 fof(f29837,plain,( 56.32/7.43 ( ! [X2] : (sK80 = not(and(not(sK80),X2))) ) | (~spl94_478 | ~spl94_515)), 56.32/7.43 inference(superposition,[],[f20449,f28788])). 56.32/7.43 fof(f20449,plain,( 56.32/7.43 ( ! [X24,X25] : (sK80 = implies(and(X24,X25),X24)) ) | ~spl94_478), 56.32/7.43 inference(avatar_component_clause,[],[f20448])). 56.32/7.43 fof(f32331,plain,( 56.32/7.43 spl94_536 | ~spl94_75 | ~spl94_191 | ~spl94_258 | ~spl94_397 | ~spl94_412 | ~spl94_414 | ~spl94_427 | ~spl94_429), 56.32/7.43 inference(avatar_split_clause,[],[f25606,f13825,f13524,f12547,f12347,f10517,f4210,f2325,f853,f32329])). 56.32/7.43 fof(f32329,plain,( 56.32/7.43 spl94_536 <=> ! [X6] : not(X6) = equiv(X6,not(sK80))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_536])])). 56.32/7.43 fof(f12347,plain,( 56.32/7.43 spl94_412 <=> ! [X23] : sK80 = implies(X23,sK80)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_412])])). 56.32/7.43 fof(f12547,plain,( 56.32/7.43 spl94_414 <=> ! [X202] : sK80 = or(sK80,X202)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_414])])). 56.32/7.43 fof(f13524,plain,( 56.32/7.43 spl94_427 <=> ! [X1] : is_a_theorem(strict_equiv(and(X1,sK80),X1))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_427])])). 56.32/7.43 fof(f13825,plain,( 56.32/7.43 spl94_429 <=> ! [X1] : equiv(sK80,X1) = X1), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_429])])). 56.32/7.43 fof(f25606,plain,( 56.32/7.43 ( ! [X6] : (not(X6) = equiv(X6,not(sK80))) ) | (~spl94_75 | ~spl94_191 | ~spl94_258 | ~spl94_397 | ~spl94_412 | ~spl94_414 | ~spl94_427 | ~spl94_429)), 56.32/7.43 inference(backward_demodulation,[],[f13675,f25598])). 56.32/7.43 fof(f25598,plain,( 56.32/7.43 ( ! [X2] : (not(X2) = implies(X2,not(sK80))) ) | (~spl94_191 | ~spl94_258 | ~spl94_397 | ~spl94_412 | ~spl94_429)), 56.32/7.43 inference(forward_demodulation,[],[f25597,f13826])). 56.32/7.43 fof(f13826,plain,( 56.32/7.43 ( ! [X1] : (equiv(sK80,X1) = X1) ) | ~spl94_429), 56.32/7.43 inference(avatar_component_clause,[],[f13825])). 56.32/7.43 fof(f25597,plain,( 56.32/7.43 ( ! [X2] : (implies(X2,not(sK80)) = not(equiv(sK80,X2))) ) | (~spl94_191 | ~spl94_258 | ~spl94_397 | ~spl94_412)), 56.32/7.43 inference(forward_demodulation,[],[f25565,f12701])). 56.32/7.43 fof(f12701,plain,( 56.32/7.43 ( ! [X6,X7] : (implies(X7,not(sK80)) = implies(X7,and(X6,not(sK80)))) ) | (~spl94_191 | ~spl94_258 | ~spl94_412)), 56.32/7.43 inference(forward_demodulation,[],[f12666,f4604])). 56.32/7.43 fof(f12666,plain,( 56.32/7.43 ( ! [X6,X7] : (not(and(X7,sK80)) = implies(X7,and(X6,not(sK80)))) ) | ~spl94_412), 56.32/7.43 inference(superposition,[],[f954,f12348])). 56.32/7.43 fof(f12348,plain,( 56.32/7.43 ( ! [X23] : (sK80 = implies(X23,sK80)) ) | ~spl94_412), 56.32/7.43 inference(avatar_component_clause,[],[f12347])). 56.32/7.43 fof(f25565,plain,( 56.32/7.43 ( ! [X2] : (not(equiv(sK80,X2)) = implies(X2,and(X2,not(sK80)))) ) | ~spl94_397), 56.32/7.43 inference(superposition,[],[f1754,f10518])). 56.32/7.43 fof(f13675,plain,( 56.32/7.43 ( ! [X6] : (equiv(X6,not(sK80)) = implies(X6,not(sK80))) ) | (~spl94_75 | ~spl94_414 | ~spl94_427)), 56.32/7.43 inference(backward_demodulation,[],[f12881,f13652])). 56.32/7.43 fof(f13652,plain,( 56.32/7.43 ( ! [X0] : (and(X0,sK80) = X0) ) | (~spl94_75 | ~spl94_427)), 56.32/7.43 inference(resolution,[],[f13525,f854])). 56.32/7.43 fof(f13525,plain,( 56.32/7.43 ( ! [X1] : (is_a_theorem(strict_equiv(and(X1,sK80),X1))) ) | ~spl94_427), 56.32/7.43 inference(avatar_component_clause,[],[f13524])). 56.32/7.43 fof(f12881,plain,( 56.32/7.43 ( ! [X6] : (equiv(X6,not(sK80)) = and(implies(X6,not(sK80)),sK80)) ) | ~spl94_414), 56.32/7.43 inference(superposition,[],[f1335,f12548])). 56.32/7.43 fof(f12548,plain,( 56.32/7.43 ( ! [X202] : (sK80 = or(sK80,X202)) ) | ~spl94_414), 56.32/7.43 inference(avatar_component_clause,[],[f12547])). 56.32/7.43 fof(f32281,plain,( 56.32/7.43 spl94_535 | ~spl94_191 | ~spl94_258 | ~spl94_386 | ~spl94_397 | ~spl94_412 | ~spl94_414 | ~spl94_429), 56.32/7.43 inference(avatar_split_clause,[],[f25601,f13825,f12547,f12347,f10517,f10083,f4210,f2325,f32279])). 56.32/7.43 fof(f25601,plain,( 56.32/7.43 ( ! [X5] : (not(X5) = equiv(not(sK80),X5)) ) | (~spl94_191 | ~spl94_258 | ~spl94_386 | ~spl94_397 | ~spl94_412 | ~spl94_414 | ~spl94_429)), 56.32/7.43 inference(backward_demodulation,[],[f12911,f25598])). 56.32/7.43 fof(f12911,plain,( 56.32/7.43 ( ! [X5] : (equiv(not(sK80),X5) = implies(X5,not(sK80))) ) | (~spl94_386 | ~spl94_414)), 56.32/7.43 inference(forward_demodulation,[],[f12880,f10084])). 56.32/7.43 fof(f12880,plain,( 56.32/7.43 ( ! [X5] : (equiv(not(sK80),X5) = and(sK80,implies(X5,not(sK80)))) ) | ~spl94_414), 56.32/7.43 inference(superposition,[],[f1334,f12548])). 56.32/7.43 fof(f32125,plain,( 56.32/7.43 spl94_534 | ~spl94_33 | ~spl94_434), 56.32/7.43 inference(avatar_split_clause,[],[f22797,f13994,f662,f32123])). 56.32/7.43 fof(f662,plain,( 56.32/7.43 spl94_33 <=> is_a_theorem(sK80)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_33])])). 56.32/7.43 fof(f13994,plain,( 56.32/7.43 spl94_434 <=> ! [X137] : sK80 = implies(necessarily(X137),X137)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_434])])). 56.32/7.43 fof(f22797,plain,( 56.32/7.43 ( ! [X26,X25] : (is_a_theorem(implies(necessarily(and(X25,X26)),X26))) ) | (~spl94_33 | ~spl94_434)), 56.32/7.43 inference(subsumption_resolution,[],[f22781,f664])). 56.32/7.43 fof(f664,plain,( 56.32/7.43 is_a_theorem(sK80) | ~spl94_33), 56.32/7.43 inference(avatar_component_clause,[],[f662])). 56.32/7.43 fof(f22781,plain,( 56.32/7.43 ( ! [X26,X25] : (~is_a_theorem(sK80) | is_a_theorem(implies(necessarily(and(X25,X26)),X26))) ) | ~spl94_434), 56.32/7.43 inference(superposition,[],[f3952,f13995])). 56.32/7.43 fof(f13995,plain,( 56.32/7.43 ( ! [X137] : (sK80 = implies(necessarily(X137),X137)) ) | ~spl94_434), 56.32/7.43 inference(avatar_component_clause,[],[f13994])). 56.32/7.43 fof(f3952,plain,( 56.32/7.43 ( ! [X38,X39,X37] : (~is_a_theorem(implies(X37,and(X39,X38))) | is_a_theorem(implies(X37,X38))) )), 56.32/7.43 inference(resolution,[],[f1739,f494])). 56.32/7.43 fof(f494,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(implies(and(X0,X1),X1))) )), 56.32/7.43 inference(subsumption_resolution,[],[f442,f340])). 56.32/7.43 fof(f340,plain,( 56.32/7.43 and_2), 56.32/7.43 inference(cnf_transformation,[],[f32])). 56.32/7.43 fof(f32,axiom,( 56.32/7.43 and_2), 56.32/7.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_2)). 56.32/7.43 fof(f442,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(implies(and(X0,X1),X1)) | ~and_2) )), 56.32/7.43 inference(cnf_transformation,[],[f275])). 56.32/7.43 fof(f275,plain,( 56.32/7.43 (! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) | ~and_2) & (and_2 | ~is_a_theorem(implies(and(sK66,sK67),sK67)))), 56.32/7.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK66,sK67])],[f273,f274])). 56.32/7.43 fof(f274,plain,( 56.32/7.43 ? [X2,X3] : ~is_a_theorem(implies(and(X2,X3),X3)) => ~is_a_theorem(implies(and(sK66,sK67),sK67))), 56.32/7.43 introduced(choice_axiom,[])). 56.32/7.43 fof(f273,plain,( 56.32/7.43 (! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) | ~and_2) & (and_2 | ? [X2,X3] : ~is_a_theorem(implies(and(X2,X3),X3)))), 56.32/7.43 inference(rectify,[],[f272])). 56.32/7.43 fof(f272,plain,( 56.32/7.43 (! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) | ~and_2) & (and_2 | ? [X0,X1] : ~is_a_theorem(implies(and(X0,X1),X1)))), 56.32/7.43 inference(nnf_transformation,[],[f3])). 56.32/7.43 fof(f3,axiom,( 56.32/7.43 ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) <=> and_2), 56.32/7.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_2)). 56.32/7.43 fof(f32072,plain,( 56.32/7.43 spl94_533 | ~spl94_33 | ~spl94_434), 56.32/7.43 inference(avatar_split_clause,[],[f22745,f13994,f662,f32070])). 56.32/7.43 fof(f22745,plain,( 56.32/7.43 ( ! [X26,X25] : (is_a_theorem(implies(necessarily(and(X25,X26)),X25))) ) | (~spl94_33 | ~spl94_434)), 56.32/7.43 inference(subsumption_resolution,[],[f22732,f664])). 56.32/7.43 fof(f22732,plain,( 56.32/7.43 ( ! [X26,X25] : (~is_a_theorem(sK80) | is_a_theorem(implies(necessarily(and(X25,X26)),X25))) ) | ~spl94_434), 56.32/7.43 inference(superposition,[],[f3951,f13995])). 56.32/7.43 fof(f3951,plain,( 56.32/7.43 ( ! [X36,X34,X35] : (~is_a_theorem(implies(X34,and(X35,X36))) | is_a_theorem(implies(X34,X35))) )), 56.32/7.43 inference(resolution,[],[f1739,f483])). 56.32/7.43 fof(f483,plain,( 56.32/7.43 ( ! [X2,X3] : (is_a_theorem(implies(and(X2,X3),X2))) )), 56.32/7.43 inference(subsumption_resolution,[],[f409,f329])). 56.32/7.43 fof(f329,plain,( 56.32/7.43 and_1), 56.32/7.43 inference(cnf_transformation,[],[f46])). 56.32/7.43 fof(f46,axiom,( 56.32/7.43 and_1), 56.32/7.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_1)). 56.32/7.43 fof(f409,plain,( 56.32/7.43 ( ! [X2,X3] : (is_a_theorem(implies(and(X2,X3),X2)) | ~and_1) )), 56.32/7.43 inference(cnf_transformation,[],[f219])). 56.32/7.43 fof(f219,plain,( 56.32/7.43 (and_1 | ~is_a_theorem(implies(and(sK42,sK43),sK42))) & (! [X2,X3] : is_a_theorem(implies(and(X2,X3),X2)) | ~and_1)), 56.32/7.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK42,sK43])],[f217,f218])). 56.32/7.43 fof(f218,plain,( 56.32/7.43 ? [X0,X1] : ~is_a_theorem(implies(and(X0,X1),X0)) => ~is_a_theorem(implies(and(sK42,sK43),sK42))), 56.32/7.43 introduced(choice_axiom,[])). 56.32/7.43 fof(f217,plain,( 56.32/7.43 (and_1 | ? [X0,X1] : ~is_a_theorem(implies(and(X0,X1),X0))) & (! [X2,X3] : is_a_theorem(implies(and(X2,X3),X2)) | ~and_1)), 56.32/7.43 inference(rectify,[],[f216])). 56.32/7.43 fof(f216,plain,( 56.32/7.43 (and_1 | ? [X0,X1] : ~is_a_theorem(implies(and(X0,X1),X0))) & (! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) | ~and_1)), 56.32/7.43 inference(nnf_transformation,[],[f1])). 56.32/7.43 fof(f1,axiom,( 56.32/7.43 and_1 <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))), 56.32/7.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1)). 56.32/7.43 fof(f32068,plain,( 56.32/7.43 spl94_532 | ~spl94_257 | ~spl94_313 | ~spl94_484), 56.32/7.43 inference(avatar_split_clause,[],[f21900,f20596,f6151,f4205,f32066])). 56.32/7.43 fof(f32066,plain,( 56.32/7.43 spl94_532 <=> ! [X6] : sK80 = or(not(necessarily(X6)),X6)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_532])])). 56.32/7.43 fof(f20596,plain,( 56.32/7.43 spl94_484 <=> ! [X200] : sK80 = or(possibly(X200),not(X200))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_484])])). 56.32/7.43 fof(f21900,plain,( 56.32/7.43 ( ! [X6] : (sK80 = or(not(necessarily(X6)),X6)) ) | (~spl94_257 | ~spl94_313 | ~spl94_484)), 56.32/7.43 inference(forward_demodulation,[],[f21861,f4206])). 56.32/7.43 fof(f21861,plain,( 56.32/7.43 ( ! [X6] : (sK80 = or(not(necessarily(X6)),not(not(X6)))) ) | (~spl94_313 | ~spl94_484)), 56.32/7.43 inference(superposition,[],[f20597,f6152])). 56.32/7.43 fof(f20597,plain,( 56.32/7.43 ( ! [X200] : (sK80 = or(possibly(X200),not(X200))) ) | ~spl94_484), 56.32/7.43 inference(avatar_component_clause,[],[f20596])). 56.32/7.43 fof(f31959,plain,( 56.32/7.43 spl94_531 | ~spl94_257 | ~spl94_312 | ~spl94_483), 56.32/7.43 inference(avatar_split_clause,[],[f21786,f20540,f6140,f4205,f31957])). 56.32/7.43 fof(f31957,plain,( 56.32/7.43 spl94_531 <=> ! [X2] : sK80 = or(not(X2),possibly(X2))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_531])])). 56.32/7.43 fof(f20540,plain,( 56.32/7.43 spl94_483 <=> ! [X170] : sK80 = or(X170,not(necessarily(X170)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_483])])). 56.32/7.43 fof(f21786,plain,( 56.32/7.43 ( ! [X2] : (sK80 = or(not(X2),possibly(X2))) ) | (~spl94_257 | ~spl94_312 | ~spl94_483)), 56.32/7.43 inference(forward_demodulation,[],[f21753,f4206])). 56.32/7.43 fof(f21753,plain,( 56.32/7.43 ( ! [X2] : (sK80 = or(not(X2),not(not(possibly(X2))))) ) | (~spl94_312 | ~spl94_483)), 56.32/7.43 inference(superposition,[],[f20541,f6141])). 56.32/7.43 fof(f20541,plain,( 56.32/7.43 ( ! [X170] : (sK80 = or(X170,not(necessarily(X170)))) ) | ~spl94_483), 56.32/7.43 inference(avatar_component_clause,[],[f20540])). 56.32/7.43 fof(f31925,plain,( 56.32/7.43 spl94_530 | ~spl94_33 | ~spl94_479), 56.32/7.43 inference(avatar_split_clause,[],[f21498,f20496,f662,f31923])). 56.32/7.43 fof(f21498,plain,( 56.32/7.43 ( ! [X101,X102] : (is_a_theorem(implies(and(X101,necessarily(X102)),X102))) ) | (~spl94_33 | ~spl94_479)), 56.32/7.43 inference(subsumption_resolution,[],[f21449,f664])). 56.32/7.43 fof(f21449,plain,( 56.32/7.43 ( ! [X101,X102] : (~is_a_theorem(sK80) | is_a_theorem(implies(and(X101,necessarily(X102)),X102))) ) | ~spl94_479), 56.32/7.43 inference(superposition,[],[f3984,f20497])). 56.32/7.43 fof(f3984,plain,( 56.32/7.43 ( ! [X145,X144] : (~is_a_theorem(implies(X144,necessarily(X145))) | is_a_theorem(implies(X144,X145))) )), 56.32/7.43 inference(resolution,[],[f1739,f479])). 56.32/7.43 fof(f31921,plain,( 56.32/7.43 spl94_529 | ~spl94_33 | ~spl94_478), 56.32/7.43 inference(avatar_split_clause,[],[f21403,f20448,f662,f31919])). 56.32/7.43 fof(f21403,plain,( 56.32/7.43 ( ! [X101,X100] : (is_a_theorem(implies(and(necessarily(X100),X101),X100))) ) | (~spl94_33 | ~spl94_478)), 56.32/7.43 inference(subsumption_resolution,[],[f21361,f664])). 56.32/7.43 fof(f21361,plain,( 56.32/7.43 ( ! [X101,X100] : (~is_a_theorem(sK80) | is_a_theorem(implies(and(necessarily(X100),X101),X100))) ) | ~spl94_478), 56.32/7.43 inference(superposition,[],[f3984,f20449])). 56.32/7.43 fof(f31555,plain,( 56.32/7.43 spl94_528 | ~spl94_189), 56.32/7.43 inference(avatar_split_clause,[],[f3824,f2281,f31553])). 56.32/7.43 fof(f31553,plain,( 56.32/7.43 spl94_528 <=> ! [X2,X3] : (~is_a_theorem(implies(X2,X3)) | is_a_theorem(strict_equiv(equiv(X2,X3),implies(X3,X2))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_528])])). 56.32/7.43 fof(f3824,plain,( 56.32/7.43 ( ! [X2,X3] : (~is_a_theorem(implies(X2,X3)) | is_a_theorem(strict_equiv(equiv(X2,X3),implies(X3,X2)))) ) | ~spl94_189), 56.32/7.43 inference(subsumption_resolution,[],[f3818,f1089])). 56.32/7.43 fof(f1089,plain,( 56.32/7.43 ( ! [X22,X23] : (is_a_theorem(strict_implies(equiv(X22,X23),implies(X23,X22)))) )), 56.32/7.43 inference(resolution,[],[f866,f496])). 56.32/7.43 fof(f496,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))) )), 56.32/7.43 inference(subsumption_resolution,[],[f448,f331])). 56.32/7.43 fof(f331,plain,( 56.32/7.43 equivalence_2), 56.32/7.43 inference(cnf_transformation,[],[f43])). 56.32/7.43 fof(f43,axiom,( 56.32/7.43 equivalence_2), 56.32/7.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_equivalence_2)). 56.32/7.43 fof(f448,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) | ~equivalence_2) )), 56.32/7.43 inference(cnf_transformation,[],[f287])). 56.32/7.43 fof(f287,plain,( 56.32/7.43 (! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) | ~equivalence_2) & (equivalence_2 | ~is_a_theorem(implies(equiv(sK72,sK73),implies(sK73,sK72))))), 56.32/7.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK72,sK73])],[f285,f286])). 56.32/7.43 fof(f286,plain,( 56.32/7.43 ? [X2,X3] : ~is_a_theorem(implies(equiv(X2,X3),implies(X3,X2))) => ~is_a_theorem(implies(equiv(sK72,sK73),implies(sK73,sK72)))), 56.32/7.43 introduced(choice_axiom,[])). 56.32/7.43 fof(f285,plain,( 56.32/7.43 (! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) | ~equivalence_2) & (equivalence_2 | ? [X2,X3] : ~is_a_theorem(implies(equiv(X2,X3),implies(X3,X2))))), 56.32/7.43 inference(rectify,[],[f284])). 56.32/7.43 fof(f284,plain,( 56.32/7.43 (! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) | ~equivalence_2) & (equivalence_2 | ? [X0,X1] : ~is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))))), 56.32/7.43 inference(nnf_transformation,[],[f23])). 56.32/7.43 fof(f23,axiom,( 56.32/7.43 ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) <=> equivalence_2), 56.32/7.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence_2)). 56.32/7.43 fof(f3818,plain,( 56.32/7.43 ( ! [X2,X3] : (~is_a_theorem(implies(X2,X3)) | ~is_a_theorem(strict_implies(equiv(X2,X3),implies(X3,X2))) | is_a_theorem(strict_equiv(equiv(X2,X3),implies(X3,X2)))) ) | ~spl94_189), 56.32/7.43 inference(resolution,[],[f1729,f2282])). 56.32/7.43 fof(f1729,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(strict_implies(implies(X1,X0),equiv(X0,X1))) | ~is_a_theorem(implies(X0,X1))) )), 56.32/7.43 inference(resolution,[],[f1144,f866])). 56.32/7.43 fof(f30430,plain,( 56.32/7.43 ~spl94_526 | ~spl94_527 | spl94_160 | ~spl94_523), 56.32/7.43 inference(avatar_split_clause,[],[f30381,f29601,f1580,f30427,f30423])). 56.32/7.43 fof(f30423,plain,( 56.32/7.43 spl94_526 <=> is_a_theorem(not(sK12))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_526])])). 56.32/7.43 fof(f30427,plain,( 56.32/7.43 spl94_527 <=> is_a_theorem(not(sK11))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_527])])). 56.32/7.43 fof(f1580,plain,( 56.32/7.43 spl94_160 <=> is_a_theorem(not(or(sK11,sK12)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_160])])). 56.32/7.43 fof(f30381,plain,( 56.32/7.43 ~is_a_theorem(not(sK11)) | ~is_a_theorem(not(sK12)) | (spl94_160 | ~spl94_523)), 56.32/7.43 inference(resolution,[],[f29602,f1582])). 56.32/7.43 fof(f1582,plain,( 56.32/7.43 ~is_a_theorem(not(or(sK11,sK12))) | spl94_160), 56.32/7.43 inference(avatar_component_clause,[],[f1580])). 56.32/7.43 fof(f29936,plain,( 56.32/7.43 spl94_525 | ~spl94_467), 56.32/7.43 inference(avatar_split_clause,[],[f20167,f20058,f29934])). 56.32/7.43 fof(f29934,plain,( 56.32/7.43 spl94_525 <=> ! [X2,X0,X1] : implies(X2,equiv(X0,X1)) = implies(X2,equiv(X1,X0))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_525])])). 56.32/7.43 fof(f20058,plain,( 56.32/7.43 spl94_467 <=> ! [X5,X4,X6,X3] : implies(X6,and(not(X3),implies(X4,X5))) = not(and(X6,implies(implies(X4,X5),X3)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_467])])). 56.32/7.43 fof(f20167,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (implies(X2,equiv(X0,X1)) = implies(X2,equiv(X1,X0))) ) | ~spl94_467), 56.32/7.43 inference(forward_demodulation,[],[f20166,f472])). 56.32/7.43 fof(f20166,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (implies(X2,equiv(X0,X1)) = implies(X2,and(implies(X1,X0),implies(X0,X1)))) ) | ~spl94_467), 56.32/7.43 inference(forward_demodulation,[],[f20165,f468])). 56.32/7.43 fof(f20165,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (implies(X2,equiv(X0,X1)) = implies(X2,and(not(and(X1,not(X0))),implies(X0,X1)))) ) | ~spl94_467), 56.32/7.43 inference(forward_demodulation,[],[f20106,f468])). 56.32/7.43 fof(f20106,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (implies(X2,and(not(and(X1,not(X0))),implies(X0,X1))) = not(and(X2,not(equiv(X0,X1))))) ) | ~spl94_467), 56.32/7.43 inference(superposition,[],[f20059,f1754])). 56.32/7.43 fof(f20059,plain,( 56.32/7.43 ( ! [X3,X6,X4,X5] : (implies(X6,and(not(X3),implies(X4,X5))) = not(and(X6,implies(implies(X4,X5),X3)))) ) | ~spl94_467), 56.32/7.43 inference(avatar_component_clause,[],[f20058])). 56.32/7.43 fof(f29828,plain,( 56.32/7.43 spl94_524 | ~spl94_67), 56.32/7.43 inference(avatar_split_clause,[],[f19873,f818,f29826])). 56.32/7.43 fof(f29826,plain,( 56.32/7.43 spl94_524 <=> ! [X0,X1] : (is_a_theorem(implies(X0,necessarily(possibly(X1)))) | ~is_a_theorem(implies(X0,possibly(X1))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_524])])). 56.32/7.43 fof(f818,plain,( 56.32/7.43 spl94_67 <=> ! [X1] : is_a_theorem(implies(possibly(X1),necessarily(possibly(X1))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_67])])). 56.32/7.43 fof(f19873,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(implies(X0,necessarily(possibly(X1)))) | ~is_a_theorem(implies(X0,possibly(X1)))) ) | ~spl94_67), 56.32/7.43 inference(resolution,[],[f819,f1739])). 56.32/7.43 fof(f819,plain,( 56.32/7.43 ( ! [X1] : (is_a_theorem(implies(possibly(X1),necessarily(possibly(X1))))) ) | ~spl94_67), 56.32/7.43 inference(avatar_component_clause,[],[f818])). 56.32/7.43 fof(f29603,plain,( 56.32/7.43 spl94_523 | ~spl94_288), 56.32/7.43 inference(avatar_split_clause,[],[f5810,f5775,f29601])). 56.32/7.43 fof(f5775,plain,( 56.32/7.43 spl94_288 <=> ! [X0,X1] : (is_a_theorem(or(X0,not(or(X1,X0)))) | ~is_a_theorem(not(X1)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_288])])). 56.32/7.43 fof(f5810,plain,( 56.32/7.43 ( ! [X2,X3] : (~is_a_theorem(not(X2)) | is_a_theorem(not(or(X2,X3))) | ~is_a_theorem(not(X3))) ) | ~spl94_288), 56.32/7.43 inference(resolution,[],[f5776,f1339])). 56.32/7.43 fof(f5776,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(or(X0,not(or(X1,X0)))) | ~is_a_theorem(not(X1))) ) | ~spl94_288), 56.32/7.43 inference(avatar_component_clause,[],[f5775])). 56.32/7.43 fof(f29499,plain,( 56.32/7.43 spl94_522 | ~spl94_257), 56.32/7.43 inference(avatar_split_clause,[],[f5255,f4205,f29497])). 56.32/7.43 fof(f29497,plain,( 56.32/7.43 spl94_522 <=> ! [X2,X3] : (~is_a_theorem(not(possibly(X3))) | ~is_a_theorem(or(X2,possibly(X3))) | is_a_theorem(X2))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_522])])). 56.32/7.43 fof(f5255,plain,( 56.32/7.43 ( ! [X2,X3] : (~is_a_theorem(not(possibly(X3))) | ~is_a_theorem(or(X2,possibly(X3))) | is_a_theorem(X2)) ) | ~spl94_257), 56.32/7.43 inference(backward_demodulation,[],[f3352,f5186])). 56.32/7.43 fof(f5186,plain,( 56.32/7.43 ( ! [X0] : (not(possibly(X0)) = necessarily(not(X0))) ) | ~spl94_257), 56.32/7.43 inference(superposition,[],[f4206,f470])). 56.32/7.43 fof(f3352,plain,( 56.32/7.43 ( ! [X2,X3] : (~is_a_theorem(or(X2,possibly(X3))) | is_a_theorem(X2) | ~is_a_theorem(necessarily(not(X3)))) )), 56.32/7.43 inference(resolution,[],[f1480,f489])). 56.32/7.43 fof(f1480,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(implies(necessarily(not(X0)),X1)) | ~is_a_theorem(or(X1,possibly(X0)))) )), 56.32/7.43 inference(superposition,[],[f1004,f470])). 56.32/7.43 fof(f29336,plain,( 56.32/7.43 spl94_521 | ~spl94_257), 56.32/7.43 inference(avatar_split_clause,[],[f5254,f4205,f29334])). 56.32/7.43 fof(f29334,plain,( 56.32/7.43 spl94_521 <=> ! [X0,X1] : (is_a_theorem(strict_implies(not(possibly(X1)),X0)) | ~is_a_theorem(or(X0,possibly(X1))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_521])])). 56.32/7.43 fof(f5254,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(strict_implies(not(possibly(X1)),X0)) | ~is_a_theorem(or(X0,possibly(X1)))) ) | ~spl94_257), 56.32/7.43 inference(backward_demodulation,[],[f3351,f5186])). 56.32/7.43 fof(f3351,plain,( 56.32/7.43 ( ! [X0,X1] : (~is_a_theorem(or(X0,possibly(X1))) | is_a_theorem(strict_implies(necessarily(not(X1)),X0))) )), 56.32/7.43 inference(resolution,[],[f1480,f866])). 56.32/7.43 fof(f29314,plain,( 56.32/7.43 spl94_520 | ~spl94_257), 56.32/7.43 inference(avatar_split_clause,[],[f5253,f4205,f29312])). 56.32/7.43 fof(f29312,plain,( 56.32/7.43 spl94_520 <=> ! [X24,X23] : (~is_a_theorem(not(possibly(X24))) | is_a_theorem(necessarily(X23)) | ~is_a_theorem(or(X24,X23)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_520])])). 56.32/7.43 fof(f5253,plain,( 56.32/7.43 ( ! [X24,X23] : (~is_a_theorem(not(possibly(X24))) | is_a_theorem(necessarily(X23)) | ~is_a_theorem(or(X24,X23))) ) | ~spl94_257), 56.32/7.43 inference(backward_demodulation,[],[f3196,f5186])). 56.32/7.43 fof(f3196,plain,( 56.32/7.43 ( ! [X24,X23] : (is_a_theorem(necessarily(X23)) | ~is_a_theorem(necessarily(not(X24))) | ~is_a_theorem(or(X24,X23))) )), 56.32/7.43 inference(resolution,[],[f1576,f1348])). 56.32/7.43 fof(f29213,plain,( 56.32/7.43 spl94_519 | ~spl94_191 | ~spl94_257 | ~spl94_316), 56.32/7.43 inference(avatar_split_clause,[],[f29031,f6182,f4205,f2325,f29211])). 56.32/7.43 fof(f29211,plain,( 56.32/7.43 spl94_519 <=> ! [X2,X3] : (~is_a_theorem(X2) | is_a_theorem(strict_implies(not(X2),X3)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_519])])). 56.32/7.43 fof(f29031,plain,( 56.32/7.43 ( ! [X2,X3] : (~is_a_theorem(X2) | is_a_theorem(strict_implies(not(X2),X3))) ) | (~spl94_191 | ~spl94_257 | ~spl94_316)), 56.32/7.43 inference(forward_demodulation,[],[f29030,f2326])). 56.32/7.43 fof(f29030,plain,( 56.32/7.43 ( ! [X2,X3] : (~is_a_theorem(and(X2,X2)) | is_a_theorem(strict_implies(not(X2),X3))) ) | (~spl94_257 | ~spl94_316)), 56.32/7.43 inference(forward_demodulation,[],[f29010,f4206])). 56.32/7.43 fof(f29010,plain,( 56.32/7.43 ( ! [X2,X3] : (is_a_theorem(strict_implies(not(X2),X3)) | ~is_a_theorem(and(X2,not(not(X2))))) ) | ~spl94_316), 56.32/7.43 inference(superposition,[],[f3466,f6183])). 56.32/7.43 fof(f3466,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (is_a_theorem(strict_implies(implies(X0,X1),X2)) | ~is_a_theorem(and(X0,not(X1)))) )), 56.32/7.43 inference(resolution,[],[f1693,f866])). 56.32/7.43 fof(f29102,plain,( 56.32/7.43 spl94_518 | ~spl94_462 | ~spl94_516), 56.32/7.43 inference(avatar_split_clause,[],[f29045,f28996,f17454,f29100])). 56.32/7.43 fof(f29100,plain,( 56.32/7.43 spl94_518 <=> ! [X1] : or(not(sK80),X1) = X1), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_518])])). 56.32/7.43 fof(f28996,plain,( 56.32/7.43 spl94_516 <=> ! [X56] : or(X56,not(sK80)) = X56), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_516])])). 56.32/7.43 fof(f29045,plain,( 56.32/7.43 ( ! [X1] : (or(not(sK80),X1) = X1) ) | (~spl94_462 | ~spl94_516)), 56.32/7.43 inference(superposition,[],[f28997,f17455])). 56.32/7.43 fof(f28997,plain,( 56.32/7.43 ( ! [X56] : (or(X56,not(sK80)) = X56) ) | ~spl94_516), 56.32/7.43 inference(avatar_component_clause,[],[f28996])). 56.32/7.43 fof(f29098,plain,( 56.32/7.43 spl94_180 | spl94_517), 56.32/7.43 inference(avatar_split_clause,[],[f3467,f29096,f2211])). 56.32/7.43 fof(f29096,plain,( 56.32/7.43 spl94_517 <=> ! [X4,X3] : (~is_a_theorem(and(X3,not(X4))) | ~is_a_theorem(implies(X3,X4)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_517])])). 56.32/7.43 fof(f3467,plain,( 56.32/7.43 ( ! [X3,X4,X5] : (~is_a_theorem(and(X3,not(X4))) | is_a_theorem(X5) | ~is_a_theorem(implies(X3,X4))) )), 56.32/7.43 inference(resolution,[],[f1693,f489])). 56.32/7.43 fof(f28998,plain,( 56.32/7.43 spl94_516 | ~spl94_257 | ~spl94_515), 56.32/7.43 inference(avatar_split_clause,[],[f28980,f28787,f4205,f28996])). 56.32/7.43 fof(f28980,plain,( 56.32/7.43 ( ! [X56] : (or(X56,not(sK80)) = X56) ) | (~spl94_257 | ~spl94_515)), 56.32/7.43 inference(forward_demodulation,[],[f28892,f4206])). 56.32/7.43 fof(f28892,plain,( 56.32/7.43 ( ! [X56] : (or(X56,not(sK80)) = not(not(X56))) ) | ~spl94_515), 56.32/7.43 inference(superposition,[],[f970,f28788])). 56.32/7.43 fof(f28789,plain,( 56.32/7.43 spl94_515 | ~spl94_191 | ~spl94_258 | ~spl94_397 | ~spl94_412 | ~spl94_429), 56.32/7.43 inference(avatar_split_clause,[],[f25598,f13825,f12347,f10517,f4210,f2325,f28787])). 56.32/7.43 fof(f28648,plain,( 56.32/7.43 ~spl94_514 | spl94_125 | ~spl94_462), 56.32/7.43 inference(avatar_split_clause,[],[f27586,f17454,f1212,f28645])). 56.32/7.43 fof(f28645,plain,( 56.32/7.43 spl94_514 <=> is_a_theorem(strict_implies(not(or(sK27,sK29)),sK28))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_514])])). 56.32/7.43 fof(f27586,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(not(or(sK27,sK29)),sK28)) | (spl94_125 | ~spl94_462)), 56.32/7.43 inference(forward_demodulation,[],[f27550,f17513])). 56.32/7.43 fof(f27550,plain,( 56.32/7.43 ~is_a_theorem(necessarily(or(sK28,or(sK27,sK29)))) | spl94_125), 56.32/7.43 inference(resolution,[],[f3267,f1214])). 56.32/7.43 fof(f27996,plain,( 56.32/7.43 ~spl94_513 | spl94_141 | ~spl94_462), 56.32/7.43 inference(avatar_split_clause,[],[f27968,f17454,f1319,f27993])). 56.32/7.43 fof(f27993,plain,( 56.32/7.43 spl94_513 <=> is_a_theorem(strict_implies(not(sK29),sK27))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_513])])). 56.32/7.43 fof(f1319,plain,( 56.32/7.43 spl94_141 <=> is_a_theorem(or(sK28,or(sK27,sK29)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_141])])). 56.32/7.43 fof(f27968,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(not(sK29),sK27)) | (spl94_141 | ~spl94_462)), 56.32/7.43 inference(forward_demodulation,[],[f27950,f17513])). 56.32/7.43 fof(f27950,plain,( 56.32/7.43 ~is_a_theorem(necessarily(or(sK27,sK29))) | spl94_141), 56.32/7.43 inference(resolution,[],[f5833,f1321])). 56.32/7.43 fof(f1321,plain,( 56.32/7.43 ~is_a_theorem(or(sK28,or(sK27,sK29))) | spl94_141), 56.32/7.43 inference(avatar_component_clause,[],[f1319])). 56.32/7.43 fof(f27629,plain,( 56.32/7.43 ~spl94_512 | spl94_184 | ~spl94_462), 56.32/7.43 inference(avatar_split_clause,[],[f27587,f17454,f2230,f27626])). 56.32/7.43 fof(f27626,plain,( 56.32/7.43 spl94_512 <=> is_a_theorem(strict_implies(not(sK84),sK82))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_512])])). 56.32/7.43 fof(f2230,plain,( 56.32/7.43 spl94_184 <=> is_a_theorem(implies(or(sK82,sK83),or(sK82,sK84)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_184])])). 56.32/7.43 fof(f27587,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(not(sK84),sK82)) | (spl94_184 | ~spl94_462)), 56.32/7.43 inference(forward_demodulation,[],[f27551,f17513])). 56.32/7.43 fof(f27551,plain,( 56.32/7.43 ~is_a_theorem(necessarily(or(sK82,sK84))) | spl94_184), 56.32/7.43 inference(resolution,[],[f3267,f2232])). 56.32/7.43 fof(f2232,plain,( 56.32/7.43 ~is_a_theorem(implies(or(sK82,sK83),or(sK82,sK84))) | spl94_184), 56.32/7.43 inference(avatar_component_clause,[],[f2230])). 56.32/7.43 fof(f25508,plain,( 56.32/7.43 spl94_181 | ~spl94_83 | spl94_165 | ~spl94_453), 56.32/7.43 inference(avatar_split_clause,[],[f22985,f16803,f1778,f911,f2214])). 56.32/7.43 fof(f2214,plain,( 56.32/7.43 spl94_181 <=> ! [X2] : (~is_a_theorem(not(X2)) | ~is_a_theorem(X2))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_181])])). 56.32/7.43 fof(f1778,plain,( 56.32/7.43 spl94_165 <=> is_a_theorem(not(sK80))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_165])])). 56.32/7.43 fof(f16803,plain,( 56.32/7.43 spl94_453 <=> ! [X3] : not(sK80) = and(not(X3),X3)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_453])])). 56.32/7.43 fof(f22985,plain,( 56.32/7.43 ( ! [X3] : (~is_a_theorem(not(X3)) | ~is_a_theorem(X3)) ) | (~spl94_83 | spl94_165 | ~spl94_453)), 56.32/7.43 inference(subsumption_resolution,[],[f19961,f1780])). 56.32/7.43 fof(f1780,plain,( 56.32/7.43 ~is_a_theorem(not(sK80)) | spl94_165), 56.32/7.43 inference(avatar_component_clause,[],[f1778])). 56.32/7.43 fof(f19961,plain,( 56.32/7.43 ( ! [X3] : (is_a_theorem(not(sK80)) | ~is_a_theorem(not(X3)) | ~is_a_theorem(X3)) ) | (~spl94_83 | ~spl94_453)), 56.32/7.43 inference(superposition,[],[f912,f16804])). 56.32/7.43 fof(f16804,plain,( 56.32/7.43 ( ! [X3] : (not(sK80) = and(not(X3),X3)) ) | ~spl94_453), 56.32/7.43 inference(avatar_component_clause,[],[f16803])). 56.32/7.43 fof(f25382,plain,( 56.32/7.43 spl94_511 | ~spl94_257 | ~spl94_316 | ~spl94_463), 56.32/7.43 inference(avatar_split_clause,[],[f25097,f19244,f6182,f4205,f25380])). 56.32/7.43 fof(f25097,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (~is_a_theorem(or(X2,X0)) | is_a_theorem(implies(implies(X2,X1),or(X0,X1)))) ) | (~spl94_257 | ~spl94_316 | ~spl94_463)), 56.32/7.43 inference(forward_demodulation,[],[f25096,f19311])). 56.32/7.43 fof(f25096,plain,( 56.32/7.43 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X2,X1),or(X0,X1))) | ~is_a_theorem(implies(not(X0),X2))) )), 56.32/7.43 inference(superposition,[],[f1151,f970])). 56.32/7.43 fof(f25003,plain,( 56.32/7.43 spl94_33 | ~spl94_391 | ~spl94_411 | ~spl94_462), 56.32/7.43 inference(avatar_split_clause,[],[f24939,f17454,f12343,f10175,f662])). 56.32/7.43 fof(f10175,plain,( 56.32/7.43 spl94_391 <=> ! [X10,X11,X9,X8] : is_a_theorem(or(implies(X11,and(X8,implies(X9,X10))),and(X11,implies(X8,and(X9,not(X10))))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_391])])). 56.32/7.43 fof(f12343,plain,( 56.32/7.43 spl94_411 <=> ! [X2] : sK80 = implies(X2,X2)), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_411])])). 56.32/7.43 fof(f24939,plain,( 56.32/7.43 is_a_theorem(sK80) | (~spl94_391 | ~spl94_411 | ~spl94_462)), 56.32/7.43 inference(forward_demodulation,[],[f24938,f12344])). 56.32/7.43 fof(f12344,plain,( 56.32/7.43 ( ! [X2] : (sK80 = implies(X2,X2)) ) | ~spl94_411), 56.32/7.43 inference(avatar_component_clause,[],[f12343])). 56.32/7.43 fof(f24938,plain,( 56.32/7.43 ( ! [X40,X41,X44,X45,X42,X43] : (is_a_theorem(implies(implies(X43,and(X44,implies(X45,strict_implies(X40,and(X41,not(X42)))))),implies(X43,and(X44,implies(X45,strict_implies(X40,and(X41,not(X42))))))))) ) | (~spl94_391 | ~spl94_462)), 56.32/7.43 inference(forward_demodulation,[],[f24937,f13029])). 56.32/7.43 fof(f13029,plain,( 56.32/7.43 ( ! [X65,X68,X69,X63,X66,X67,X64] : (implies(implies(X66,and(X67,implies(X68,strict_implies(X63,and(X64,not(X65)))))),X69) = or(and(X66,implies(X67,and(X68,possibly(and(X63,implies(X64,X65)))))),X69)) )), 56.32/7.43 inference(superposition,[],[f1764,f1512])). 56.32/7.43 fof(f1512,plain,( 56.32/7.43 ( ! [X2,X3,X4] : (not(strict_implies(X4,and(X2,not(X3)))) = possibly(and(X4,implies(X2,X3)))) )), 56.32/7.43 inference(superposition,[],[f956,f468])). 56.32/7.43 fof(f956,plain,( 56.32/7.43 ( ! [X0,X1] : (possibly(and(X0,not(X1))) = not(strict_implies(X0,X1))) )), 56.32/7.43 inference(forward_demodulation,[],[f955,f467])). 56.32/7.43 fof(f955,plain,( 56.32/7.43 ( ! [X0,X1] : (possibly(and(X0,not(X1))) = not(necessarily(implies(X0,X1)))) )), 56.32/7.43 inference(superposition,[],[f470,f468])). 56.32/7.43 fof(f1764,plain,( 56.32/7.43 ( ! [X38,X36,X37,X34,X35] : (implies(implies(X37,and(X34,implies(X35,X36))),X38) = or(and(X37,implies(X34,and(X35,not(X36)))),X38)) )), 56.32/7.43 inference(superposition,[],[f975,f954])). 56.32/7.43 fof(f24937,plain,( 56.32/7.43 ( ! [X40,X41,X44,X45,X42,X43] : (is_a_theorem(or(and(X43,implies(X44,and(X45,possibly(and(X40,implies(X41,X42)))))),implies(X43,and(X44,implies(X45,strict_implies(X40,and(X41,not(X42))))))))) ) | (~spl94_391 | ~spl94_462)), 56.32/7.43 inference(forward_demodulation,[],[f10727,f17455])). 56.32/7.43 fof(f10727,plain,( 56.32/7.43 ( ! [X40,X41,X44,X45,X42,X43] : (is_a_theorem(or(implies(X43,and(X44,implies(X45,strict_implies(X40,and(X41,not(X42)))))),and(X43,implies(X44,and(X45,possibly(and(X40,implies(X41,X42))))))))) ) | ~spl94_391), 56.32/7.43 inference(superposition,[],[f10176,f1512])). 56.32/7.43 fof(f10176,plain,( 56.32/7.43 ( ! [X10,X11,X8,X9] : (is_a_theorem(or(implies(X11,and(X8,implies(X9,X10))),and(X11,implies(X8,and(X9,not(X10))))))) ) | ~spl94_391), 56.32/7.43 inference(avatar_component_clause,[],[f10175])). 56.32/7.43 fof(f24916,plain,( 56.32/7.43 ~spl94_180 | ~spl94_335), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24915])). 56.32/7.43 fof(f24915,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_335)), 56.32/7.43 inference(subsumption_resolution,[],[f23127,f2212])). 56.32/7.43 fof(f2212,plain,( 56.32/7.43 ( ! [X3] : (is_a_theorem(X3)) ) | ~spl94_180), 56.32/7.43 inference(avatar_component_clause,[],[f2211])). 56.32/7.43 fof(f23127,plain,( 56.32/7.43 ( ! [X22] : (~is_a_theorem(not(X22))) ) | (~spl94_180 | ~spl94_335)), 56.32/7.43 inference(resolution,[],[f2212,f6784])). 56.32/7.43 fof(f6784,plain,( 56.32/7.43 ( ! [X7] : (~is_a_theorem(necessarily(X7)) | ~is_a_theorem(not(X7))) ) | ~spl94_335), 56.32/7.43 inference(avatar_component_clause,[],[f6783])). 56.32/7.43 fof(f6783,plain,( 56.32/7.43 spl94_335 <=> ! [X7] : (~is_a_theorem(necessarily(X7)) | ~is_a_theorem(not(X7)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_335])])). 56.32/7.43 fof(f24914,plain,( 56.32/7.43 ~spl94_180 | ~spl94_233), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24913])). 56.32/7.43 fof(f24913,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_233)), 56.32/7.43 inference(subsumption_resolution,[],[f23099,f2212])). 56.32/7.43 fof(f23099,plain,( 56.32/7.43 ( ! [X20] : (~is_a_theorem(not(X20))) ) | (~spl94_180 | ~spl94_233)), 56.32/7.43 inference(resolution,[],[f2212,f3181])). 56.32/7.43 fof(f3181,plain,( 56.32/7.43 ( ! [X1] : (~is_a_theorem(possibly(X1)) | ~is_a_theorem(not(X1))) ) | ~spl94_233), 56.32/7.43 inference(avatar_component_clause,[],[f3180])). 56.32/7.43 fof(f3180,plain,( 56.32/7.43 spl94_233 <=> ! [X1] : (~is_a_theorem(possibly(X1)) | ~is_a_theorem(not(X1)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_233])])). 56.32/7.43 fof(f24912,plain,( 56.32/7.43 ~spl94_180 | ~spl94_334), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24911])). 56.32/7.43 fof(f24911,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_334)), 56.32/7.43 inference(subsumption_resolution,[],[f23062,f2212])). 56.32/7.43 fof(f23062,plain,( 56.32/7.43 ( ! [X17] : (~is_a_theorem(X17)) ) | (~spl94_180 | ~spl94_334)), 56.32/7.43 inference(resolution,[],[f2212,f6728])). 56.32/7.43 fof(f6728,plain,( 56.32/7.43 ( ! [X4] : (~is_a_theorem(not(necessarily(X4))) | ~is_a_theorem(X4)) ) | ~spl94_334), 56.32/7.43 inference(avatar_component_clause,[],[f6727])). 56.32/7.43 fof(f6727,plain,( 56.32/7.43 spl94_334 <=> ! [X4] : (~is_a_theorem(X4) | ~is_a_theorem(not(necessarily(X4))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_334])])). 56.32/7.43 fof(f24910,plain,( 56.32/7.43 ~spl94_180 | ~spl94_287), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24909])). 56.32/7.43 fof(f24909,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_287)), 56.32/7.43 inference(subsumption_resolution,[],[f23042,f2212])). 56.32/7.43 fof(f23042,plain,( 56.32/7.43 ( ! [X16] : (~is_a_theorem(X16)) ) | (~spl94_180 | ~spl94_287)), 56.32/7.43 inference(resolution,[],[f2212,f5772])). 56.32/7.43 fof(f5772,plain,( 56.32/7.43 ( ! [X0] : (~is_a_theorem(not(possibly(X0))) | ~is_a_theorem(X0)) ) | ~spl94_287), 56.32/7.43 inference(avatar_component_clause,[],[f5771])). 56.32/7.43 fof(f5771,plain,( 56.32/7.43 spl94_287 <=> ! [X0] : (~is_a_theorem(X0) | ~is_a_theorem(not(possibly(X0))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_287])])). 56.32/7.43 fof(f24908,plain,( 56.32/7.43 ~spl94_180 | ~spl94_367), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24907])). 56.32/7.43 fof(f24907,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_367)), 56.32/7.43 inference(subsumption_resolution,[],[f23041,f2212])). 56.32/7.43 fof(f23041,plain,( 56.32/7.43 ( ! [X15] : (~is_a_theorem(necessarily(X15))) ) | (~spl94_180 | ~spl94_367)), 56.32/7.43 inference(resolution,[],[f2212,f8707])). 56.32/7.43 fof(f8707,plain,( 56.32/7.43 ( ! [X1] : (~is_a_theorem(not(possibly(X1))) | ~is_a_theorem(necessarily(X1))) ) | ~spl94_367), 56.32/7.43 inference(avatar_component_clause,[],[f8706])). 56.32/7.43 fof(f8706,plain,( 56.32/7.43 spl94_367 <=> ! [X1] : (~is_a_theorem(not(possibly(X1))) | ~is_a_theorem(necessarily(X1)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_367])])). 56.32/7.43 fof(f24906,plain,( 56.32/7.43 ~spl94_180 | spl94_244), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24905])). 56.32/7.43 fof(f24905,plain,( 56.32/7.43 $false | (~spl94_180 | spl94_244)), 56.32/7.43 inference(subsumption_resolution,[],[f23997,f2212])). 56.32/7.43 fof(f23997,plain,( 56.32/7.43 ~is_a_theorem(not(sK84)) | (~spl94_180 | spl94_244)), 56.32/7.43 inference(backward_demodulation,[],[f3572,f23000])). 56.32/7.43 fof(f23000,plain,( 56.32/7.43 ( ! [X0,X1] : (and(X0,X1) = X1) ) | ~spl94_180), 56.32/7.43 inference(resolution,[],[f2212,f9942])). 56.32/7.43 fof(f9942,plain,( 56.32/7.43 ( ! [X4,X5] : (~is_a_theorem(X4) | and(X4,X5) = X5) )), 56.32/7.43 inference(resolution,[],[f3895,f488])). 56.32/7.43 fof(f3895,plain,( 56.32/7.43 ( ! [X6,X5] : (is_a_theorem(equiv(and(X5,X6),X6)) | ~is_a_theorem(X5)) )), 56.32/7.43 inference(subsumption_resolution,[],[f3842,f494])). 56.32/7.43 fof(f3842,plain,( 56.32/7.43 ( ! [X6,X5] : (is_a_theorem(equiv(and(X5,X6),X6)) | ~is_a_theorem(implies(and(X5,X6),X6)) | ~is_a_theorem(X5)) )), 56.32/7.43 inference(resolution,[],[f1730,f872])). 56.32/7.43 fof(f3572,plain,( 56.32/7.43 ~is_a_theorem(and(sK83,not(sK84))) | spl94_244), 56.32/7.43 inference(avatar_component_clause,[],[f3570])). 56.32/7.43 fof(f3570,plain,( 56.32/7.43 spl94_244 <=> is_a_theorem(and(sK83,not(sK84)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_244])])). 56.32/7.43 fof(f24904,plain,( 56.32/7.43 ~spl94_180 | spl94_243), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24903])). 56.32/7.43 fof(f24903,plain,( 56.32/7.43 $false | (~spl94_180 | spl94_243)), 56.32/7.43 inference(subsumption_resolution,[],[f23995,f2212])). 56.32/7.43 fof(f23995,plain,( 56.32/7.43 ~is_a_theorem(necessarily(sK70)) | (~spl94_180 | spl94_243)), 56.32/7.43 inference(backward_demodulation,[],[f3555,f23000])). 56.32/7.43 fof(f3555,plain,( 56.32/7.43 ~is_a_theorem(necessarily(and(sK71,sK70))) | spl94_243), 56.32/7.43 inference(avatar_component_clause,[],[f3553])). 56.32/7.43 fof(f3553,plain,( 56.32/7.43 spl94_243 <=> is_a_theorem(necessarily(and(sK71,sK70)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_243])])). 56.32/7.43 fof(f24902,plain,( 56.32/7.43 spl94_52 | ~spl94_180), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24901])). 56.32/7.43 fof(f24901,plain,( 56.32/7.43 $false | (spl94_52 | ~spl94_180)), 56.32/7.43 inference(subsumption_resolution,[],[f23994,f2212])). 56.32/7.43 fof(f23994,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(sK71,and(sK71,sK70))) | (spl94_52 | ~spl94_180)), 56.32/7.43 inference(backward_demodulation,[],[f754,f23000])). 56.32/7.43 fof(f24900,plain,( 56.32/7.43 ~spl94_180 | spl94_265), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24899])). 56.32/7.43 fof(f24899,plain,( 56.32/7.43 $false | (~spl94_180 | spl94_265)), 56.32/7.43 inference(subsumption_resolution,[],[f23992,f2212])). 56.32/7.43 fof(f23992,plain,( 56.32/7.43 ~is_a_theorem(implies(implies(sK30,sK31),or(sK32,implies(sK32,not(sK30))))) | (~spl94_180 | spl94_265)), 56.32/7.43 inference(backward_demodulation,[],[f4801,f23000])). 56.32/7.43 fof(f24898,plain,( 56.32/7.43 ~spl94_180 | spl94_285), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24897])). 56.32/7.43 fof(f24897,plain,( 56.32/7.43 $false | (~spl94_180 | spl94_285)), 56.32/7.43 inference(subsumption_resolution,[],[f23991,f2212])). 56.32/7.43 fof(f23991,plain,( 56.32/7.43 ~is_a_theorem(or(sK32,implies(sK32,not(sK30)))) | (~spl94_180 | spl94_285)), 56.32/7.43 inference(backward_demodulation,[],[f5735,f23000])). 56.32/7.43 fof(f5735,plain,( 56.32/7.43 ~is_a_theorem(or(and(sK31,sK32),implies(sK32,not(sK30)))) | spl94_285), 56.32/7.43 inference(avatar_component_clause,[],[f5733])). 56.32/7.43 fof(f5733,plain,( 56.32/7.43 spl94_285 <=> is_a_theorem(or(and(sK31,sK32),implies(sK32,not(sK30))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_285])])). 56.32/7.43 fof(f24896,plain,( 56.32/7.43 ~spl94_180 | spl94_383), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24895])). 56.32/7.43 fof(f24895,plain,( 56.32/7.43 $false | (~spl94_180 | spl94_383)), 56.32/7.43 inference(subsumption_resolution,[],[f23990,f2212])). 56.32/7.43 fof(f23990,plain,( 56.32/7.43 ~is_a_theorem(necessarily(sK32)) | (~spl94_180 | spl94_383)), 56.32/7.43 inference(backward_demodulation,[],[f9763,f23000])). 56.32/7.43 fof(f9763,plain,( 56.32/7.43 ~is_a_theorem(necessarily(and(sK31,sK32))) | spl94_383), 56.32/7.43 inference(avatar_component_clause,[],[f9761])). 56.32/7.43 fof(f9761,plain,( 56.32/7.43 spl94_383 <=> is_a_theorem(necessarily(and(sK31,sK32)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_383])])). 56.32/7.43 fof(f24894,plain,( 56.32/7.43 ~spl94_180 | spl94_265), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24893])). 56.32/7.43 fof(f24893,plain,( 56.32/7.43 $false | (~spl94_180 | spl94_265)), 56.32/7.43 inference(subsumption_resolution,[],[f23989,f2212])). 56.32/7.43 fof(f23989,plain,( 56.32/7.43 ~is_a_theorem(implies(implies(sK30,sK31),sK32)) | (~spl94_180 | spl94_265)), 56.32/7.43 inference(backward_demodulation,[],[f22600,f23000])). 56.32/7.43 fof(f24892,plain,( 56.32/7.43 ~spl94_180 | spl94_245), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24891])). 56.32/7.43 fof(f24891,plain,( 56.32/7.43 $false | (~spl94_180 | spl94_245)), 56.32/7.43 inference(subsumption_resolution,[],[f23988,f2212])). 56.32/7.43 fof(f23988,plain,( 56.32/7.43 ~is_a_theorem(not(sK31)) | (~spl94_180 | spl94_245)), 56.32/7.43 inference(backward_demodulation,[],[f3595,f23000])). 56.32/7.43 fof(f3595,plain,( 56.32/7.43 ~is_a_theorem(and(sK30,not(sK31))) | spl94_245), 56.32/7.43 inference(avatar_component_clause,[],[f3593])). 56.32/7.43 fof(f3593,plain,( 56.32/7.43 spl94_245 <=> is_a_theorem(and(sK30,not(sK31)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_245])])). 56.32/7.43 fof(f24890,plain,( 56.32/7.43 ~spl94_180 | spl94_300), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24889])). 56.32/7.43 fof(f24889,plain,( 56.32/7.43 $false | (~spl94_180 | spl94_300)), 56.32/7.43 inference(subsumption_resolution,[],[f23986,f2212])). 56.32/7.43 fof(f23986,plain,( 56.32/7.43 ~is_a_theorem(implies(sK22,not(sK23))) | (~spl94_180 | spl94_300)), 56.32/7.43 inference(backward_demodulation,[],[f5928,f23000])). 56.32/7.43 fof(f5928,plain,( 56.32/7.43 ~is_a_theorem(implies(and(sK21,sK22),not(sK23))) | spl94_300), 56.32/7.43 inference(avatar_component_clause,[],[f5926])). 56.32/7.43 fof(f5926,plain,( 56.32/7.43 spl94_300 <=> is_a_theorem(implies(and(sK21,sK22),not(sK23)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_300])])). 56.32/7.43 fof(f24888,plain,( 56.32/7.43 spl94_152 | ~spl94_180), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24887])). 56.32/7.43 fof(f24887,plain,( 56.32/7.43 $false | (spl94_152 | ~spl94_180)), 56.32/7.43 inference(subsumption_resolution,[],[f23985,f2212])). 56.32/7.43 fof(f23985,plain,( 56.32/7.43 ~is_a_theorem(and(sK22,sK23)) | (spl94_152 | ~spl94_180)), 56.32/7.43 inference(backward_demodulation,[],[f1417,f23000])). 56.32/7.43 fof(f1417,plain,( 56.32/7.43 ~is_a_theorem(and(sK21,and(sK22,sK23))) | spl94_152), 56.32/7.43 inference(avatar_component_clause,[],[f1415])). 56.32/7.43 fof(f1415,plain,( 56.32/7.43 spl94_152 <=> is_a_theorem(and(sK21,and(sK22,sK23)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_152])])). 56.32/7.43 fof(f24886,plain,( 56.32/7.43 ~spl94_180 | spl94_297), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24885])). 56.32/7.43 fof(f24885,plain,( 56.32/7.43 $false | (~spl94_180 | spl94_297)), 56.32/7.43 inference(subsumption_resolution,[],[f23984,f2212])). 56.32/7.43 fof(f23984,plain,( 56.32/7.43 ~is_a_theorem(necessarily(and(sK22,sK23))) | (~spl94_180 | spl94_297)), 56.32/7.43 inference(backward_demodulation,[],[f5914,f23000])). 56.32/7.43 fof(f5914,plain,( 56.32/7.43 ~is_a_theorem(necessarily(and(sK21,and(sK22,sK23)))) | spl94_297), 56.32/7.43 inference(avatar_component_clause,[],[f5912])). 56.32/7.43 fof(f5912,plain,( 56.32/7.43 spl94_297 <=> is_a_theorem(necessarily(and(sK21,and(sK22,sK23))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_297])])). 56.32/7.43 fof(f24884,plain,( 56.32/7.43 spl94_176 | ~spl94_180), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24883])). 56.32/7.43 fof(f24883,plain,( 56.32/7.43 $false | (spl94_176 | ~spl94_180)), 56.32/7.43 inference(subsumption_resolution,[],[f23982,f2212])). 56.32/7.43 fof(f23982,plain,( 56.32/7.43 ~is_a_theorem(not(possibly(sK16))) | (spl94_176 | ~spl94_180)), 56.32/7.43 inference(backward_demodulation,[],[f2177,f23000])). 56.32/7.43 fof(f2177,plain,( 56.32/7.43 ~is_a_theorem(not(possibly(and(sK15,sK16)))) | spl94_176), 56.32/7.43 inference(avatar_component_clause,[],[f2175])). 56.32/7.43 fof(f2175,plain,( 56.32/7.43 spl94_176 <=> is_a_theorem(not(possibly(and(sK15,sK16))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_176])])). 56.32/7.43 fof(f24882,plain,( 56.32/7.43 spl94_74 | ~spl94_180), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24881])). 56.32/7.43 fof(f24881,plain,( 56.32/7.43 $false | (spl94_74 | ~spl94_180)), 56.32/7.43 inference(subsumption_resolution,[],[f23981,f2212])). 56.32/7.43 fof(f23981,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(possibly(sK10),sK9)) | (spl94_74 | ~spl94_180)), 56.32/7.43 inference(backward_demodulation,[],[f850,f23000])). 56.32/7.43 fof(f850,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(possibly(and(sK9,sK10)),sK9)) | spl94_74), 56.32/7.43 inference(avatar_component_clause,[],[f848])). 56.32/7.43 fof(f848,plain,( 56.32/7.43 spl94_74 <=> is_a_theorem(strict_implies(possibly(and(sK9,sK10)),sK9))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_74])])). 56.32/7.43 fof(f24880,plain,( 56.32/7.43 spl94_179 | ~spl94_180), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24879])). 56.32/7.43 fof(f24879,plain,( 56.32/7.43 $false | (spl94_179 | ~spl94_180)), 56.32/7.43 inference(subsumption_resolution,[],[f23980,f2212])). 56.32/7.43 fof(f23980,plain,( 56.32/7.43 ~is_a_theorem(not(possibly(sK10))) | (spl94_179 | ~spl94_180)), 56.32/7.43 inference(backward_demodulation,[],[f2200,f23000])). 56.32/7.43 fof(f2200,plain,( 56.32/7.43 ~is_a_theorem(not(possibly(and(sK9,sK10)))) | spl94_179), 56.32/7.43 inference(avatar_component_clause,[],[f2198])). 56.32/7.43 fof(f2198,plain,( 56.32/7.43 spl94_179 <=> is_a_theorem(not(possibly(and(sK9,sK10))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_179])])). 56.32/7.43 fof(f24878,plain,( 56.32/7.43 spl94_136 | ~spl94_180), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24877])). 56.32/7.43 fof(f24877,plain,( 56.32/7.43 $false | (spl94_136 | ~spl94_180)), 56.32/7.43 inference(subsumption_resolution,[],[f23976,f2212])). 56.32/7.43 fof(f23976,plain,( 56.32/7.43 ~is_a_theorem(implies(strict_implies(sK34,sK35),strict_implies(sK33,sK35))) | (spl94_136 | ~spl94_180)), 56.32/7.43 inference(backward_demodulation,[],[f1277,f23000])). 56.32/7.43 fof(f1277,plain,( 56.32/7.43 ~is_a_theorem(implies(and(strict_implies(sK33,sK34),strict_implies(sK34,sK35)),strict_implies(sK33,sK35))) | spl94_136), 56.32/7.43 inference(avatar_component_clause,[],[f1275])). 56.32/7.43 fof(f1275,plain,( 56.32/7.43 spl94_136 <=> is_a_theorem(implies(and(strict_implies(sK33,sK34),strict_implies(sK34,sK35)),strict_implies(sK33,sK35)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_136])])). 56.32/7.43 fof(f24876,plain,( 56.32/7.43 spl94_120 | ~spl94_180), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24875])). 56.32/7.43 fof(f24875,plain,( 56.32/7.43 $false | (spl94_120 | ~spl94_180)), 56.32/7.43 inference(subsumption_resolution,[],[f23975,f2212])). 56.32/7.43 fof(f23975,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(strict_implies(sK25,sK26),strict_implies(sK24,sK26))) | (spl94_120 | ~spl94_180)), 56.32/7.43 inference(backward_demodulation,[],[f1188,f23000])). 56.32/7.43 fof(f1188,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(and(strict_implies(sK24,sK25),strict_implies(sK25,sK26)),strict_implies(sK24,sK26))) | spl94_120), 56.32/7.43 inference(avatar_component_clause,[],[f1186])). 56.32/7.43 fof(f1186,plain,( 56.32/7.43 spl94_120 <=> is_a_theorem(strict_implies(and(strict_implies(sK24,sK25),strict_implies(sK25,sK26)),strict_implies(sK24,sK26)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_120])])). 56.32/7.43 fof(f24874,plain,( 56.32/7.43 spl94_109 | ~spl94_180), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24873])). 56.32/7.43 fof(f24873,plain,( 56.32/7.43 $false | (spl94_109 | ~spl94_180)), 56.32/7.43 inference(subsumption_resolution,[],[f23973,f2212])). 56.32/7.43 fof(f23973,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(possibly(and(sK15,sK16)),possibly(sK16))) | (spl94_109 | ~spl94_180)), 56.32/7.43 inference(backward_demodulation,[],[f1129,f23000])). 56.32/7.43 fof(f1129,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(possibly(and(sK15,sK16)),and(possibly(sK15),possibly(sK16)))) | spl94_109), 56.32/7.43 inference(avatar_component_clause,[],[f1127])). 56.32/7.43 fof(f1127,plain,( 56.32/7.43 spl94_109 <=> is_a_theorem(strict_implies(possibly(and(sK15,sK16)),and(possibly(sK15),possibly(sK16))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_109])])). 56.32/7.43 fof(f24872,plain,( 56.32/7.43 spl94_150 | ~spl94_180), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24871])). 56.32/7.43 fof(f24871,plain,( 56.32/7.43 $false | (spl94_150 | ~spl94_180)), 56.32/7.43 inference(subsumption_resolution,[],[f23972,f2212])). 56.32/7.43 fof(f23972,plain,( 56.32/7.43 ~is_a_theorem(possibly(sK16)) | (spl94_150 | ~spl94_180)), 56.32/7.43 inference(backward_demodulation,[],[f1408,f23000])). 56.32/7.43 fof(f1408,plain,( 56.32/7.43 ~is_a_theorem(and(possibly(sK15),possibly(sK16))) | spl94_150), 56.32/7.43 inference(avatar_component_clause,[],[f1406])). 56.32/7.43 fof(f1406,plain,( 56.32/7.43 spl94_150 <=> is_a_theorem(and(possibly(sK15),possibly(sK16)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_150])])). 56.32/7.43 fof(f24870,plain,( 56.32/7.43 ~spl94_180 | spl94_299), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24869])). 56.32/7.43 fof(f24869,plain,( 56.32/7.43 $false | (~spl94_180 | spl94_299)), 56.32/7.43 inference(subsumption_resolution,[],[f23971,f2212])). 56.32/7.43 fof(f23971,plain,( 56.32/7.43 ~is_a_theorem(necessarily(possibly(sK16))) | (~spl94_180 | spl94_299)), 56.32/7.43 inference(backward_demodulation,[],[f5923,f23000])). 56.32/7.43 fof(f5923,plain,( 56.32/7.43 ~is_a_theorem(necessarily(and(possibly(sK15),possibly(sK16)))) | spl94_299), 56.32/7.43 inference(avatar_component_clause,[],[f5921])). 56.32/7.43 fof(f5921,plain,( 56.32/7.43 spl94_299 <=> is_a_theorem(necessarily(and(possibly(sK15),possibly(sK16))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_299])])). 56.32/7.43 fof(f24868,plain,( 56.32/7.43 spl94_115 | ~spl94_180), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24867])). 56.32/7.43 fof(f24867,plain,( 56.32/7.43 $false | (spl94_115 | ~spl94_180)), 56.32/7.43 inference(subsumption_resolution,[],[f23904,f2212])). 56.32/7.43 fof(f23904,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(sK23,and(sK21,and(sK22,sK23)))) | (spl94_115 | ~spl94_180)), 56.32/7.43 inference(backward_demodulation,[],[f1164,f23000])). 56.32/7.43 fof(f1164,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(and(and(sK21,sK22),sK23),and(sK21,and(sK22,sK23)))) | spl94_115), 56.32/7.43 inference(avatar_component_clause,[],[f1162])). 56.32/7.43 fof(f1162,plain,( 56.32/7.43 spl94_115 <=> is_a_theorem(strict_implies(and(and(sK21,sK22),sK23),and(sK21,and(sK22,sK23))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_115])])). 56.32/7.43 fof(f24866,plain,( 56.32/7.43 ~spl94_180 | ~spl94_229 | ~spl94_270), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24865])). 56.32/7.43 fof(f24865,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_229 | ~spl94_270)), 56.32/7.43 inference(subsumption_resolution,[],[f24864,f2212])). 56.32/7.43 fof(f24864,plain,( 56.32/7.43 ( ! [X6,X5] : (~is_a_theorem(strict_implies(X5,not(possibly(X6))))) ) | (~spl94_180 | ~spl94_229 | ~spl94_270)), 56.32/7.43 inference(subsumption_resolution,[],[f23853,f2212])). 56.32/7.43 fof(f23853,plain,( 56.32/7.43 ( ! [X6,X5] : (~is_a_theorem(possibly(possibly(X6))) | ~is_a_theorem(strict_implies(X5,not(possibly(X6))))) ) | (~spl94_180 | ~spl94_229 | ~spl94_270)), 56.32/7.43 inference(backward_demodulation,[],[f5002,f23000])). 56.32/7.43 fof(f5002,plain,( 56.32/7.43 ( ! [X6,X5] : (~is_a_theorem(strict_implies(X5,not(possibly(X6)))) | ~is_a_theorem(possibly(and(X5,possibly(X6))))) ) | (~spl94_229 | ~spl94_270)), 56.32/7.43 inference(backward_demodulation,[],[f3175,f4996])). 56.32/7.43 fof(f4996,plain,( 56.32/7.43 ( ! [X2,X1] : (strict_implies(X1,necessarily(not(X2))) = strict_implies(X1,not(possibly(X2)))) ) | ~spl94_270), 56.32/7.43 inference(forward_demodulation,[],[f4916,f467])). 56.32/7.43 fof(f4916,plain,( 56.32/7.43 ( ! [X2,X1] : (strict_implies(X1,necessarily(not(X2))) = necessarily(implies(X1,not(possibly(X2))))) ) | ~spl94_270), 56.32/7.43 inference(superposition,[],[f467,f4843])). 56.32/7.43 fof(f3175,plain,( 56.32/7.43 ( ! [X6,X5] : (~is_a_theorem(strict_implies(X5,necessarily(not(X6)))) | ~is_a_theorem(possibly(and(X5,possibly(X6))))) ) | ~spl94_229), 56.32/7.43 inference(forward_demodulation,[],[f3166,f467])). 56.32/7.43 fof(f3166,plain,( 56.32/7.43 ( ! [X6,X5] : (~is_a_theorem(necessarily(implies(X5,necessarily(not(X6))))) | ~is_a_theorem(possibly(and(X5,possibly(X6))))) ) | ~spl94_229), 56.32/7.43 inference(superposition,[],[f3076,f953])). 56.32/7.43 fof(f3076,plain,( 56.32/7.43 ( ! [X0] : (~is_a_theorem(necessarily(not(X0))) | ~is_a_theorem(possibly(X0))) ) | ~spl94_229), 56.32/7.43 inference(avatar_component_clause,[],[f3075])). 56.32/7.43 fof(f3075,plain,( 56.32/7.43 spl94_229 <=> ! [X0] : (~is_a_theorem(possibly(X0)) | ~is_a_theorem(necessarily(not(X0))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_229])])). 56.32/7.43 fof(f24863,plain,( 56.32/7.43 ~spl94_180 | ~spl94_257 | ~spl94_367), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24862])). 56.32/7.43 fof(f24862,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_257 | ~spl94_367)), 56.32/7.43 inference(subsumption_resolution,[],[f24861,f2212])). 56.32/7.43 fof(f24861,plain,( 56.32/7.43 ( ! [X0,X1] : (~is_a_theorem(strict_implies(X0,X1))) ) | (~spl94_180 | ~spl94_257 | ~spl94_367)), 56.32/7.43 inference(subsumption_resolution,[],[f23751,f2212])). 56.32/7.43 fof(f23751,plain,( 56.32/7.43 ( ! [X0,X1] : (~is_a_theorem(necessarily(not(X1))) | ~is_a_theorem(strict_implies(X0,X1))) ) | (~spl94_180 | ~spl94_257 | ~spl94_367)), 56.32/7.43 inference(backward_demodulation,[],[f8713,f23000])). 56.32/7.43 fof(f8713,plain,( 56.32/7.43 ( ! [X0,X1] : (~is_a_theorem(strict_implies(X0,X1)) | ~is_a_theorem(necessarily(and(X0,not(X1))))) ) | (~spl94_257 | ~spl94_367)), 56.32/7.43 inference(forward_demodulation,[],[f8710,f4206])). 56.32/7.43 fof(f8710,plain,( 56.32/7.43 ( ! [X0,X1] : (~is_a_theorem(not(not(strict_implies(X0,X1)))) | ~is_a_theorem(necessarily(and(X0,not(X1))))) ) | ~spl94_367), 56.32/7.43 inference(superposition,[],[f8707,f956])). 56.32/7.43 fof(f24860,plain,( 56.32/7.43 ~spl94_180 | ~spl94_257 | ~spl94_287), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24859])). 56.32/7.43 fof(f24859,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_257 | ~spl94_287)), 56.32/7.43 inference(subsumption_resolution,[],[f24858,f2212])). 56.32/7.43 fof(f24858,plain,( 56.32/7.43 ( ! [X0,X1] : (~is_a_theorem(strict_implies(X0,X1))) ) | (~spl94_180 | ~spl94_257 | ~spl94_287)), 56.32/7.43 inference(subsumption_resolution,[],[f23741,f2212])). 56.32/7.43 fof(f23741,plain,( 56.32/7.43 ( ! [X0,X1] : (~is_a_theorem(not(X1)) | ~is_a_theorem(strict_implies(X0,X1))) ) | (~spl94_180 | ~spl94_257 | ~spl94_287)), 56.32/7.43 inference(backward_demodulation,[],[f5779,f23000])). 56.32/7.43 fof(f5779,plain,( 56.32/7.43 ( ! [X0,X1] : (~is_a_theorem(strict_implies(X0,X1)) | ~is_a_theorem(and(X0,not(X1)))) ) | (~spl94_257 | ~spl94_287)), 56.32/7.43 inference(forward_demodulation,[],[f5778,f4206])). 56.32/7.43 fof(f5778,plain,( 56.32/7.43 ( ! [X0,X1] : (~is_a_theorem(not(not(strict_implies(X0,X1)))) | ~is_a_theorem(and(X0,not(X1)))) ) | ~spl94_287), 56.32/7.43 inference(superposition,[],[f5772,f956])). 56.32/7.43 fof(f24857,plain,( 56.32/7.43 ~spl94_180 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_367 | ~spl94_385 | ~spl94_463), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24856])). 56.32/7.43 fof(f24856,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_367 | ~spl94_385 | ~spl94_463)), 56.32/7.43 inference(subsumption_resolution,[],[f24855,f2212])). 56.32/7.43 fof(f24855,plain,( 56.32/7.43 ( ! [X76,X77,X75] : (~is_a_theorem(strict_implies(X75,and(not(X76),possibly(X77))))) ) | (~spl94_180 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_367 | ~spl94_385 | ~spl94_463)), 56.32/7.43 inference(subsumption_resolution,[],[f23728,f2212])). 56.32/7.43 fof(f23728,plain,( 56.32/7.43 ( ! [X76,X77,X75] : (~is_a_theorem(necessarily(implies(possibly(X77),X76))) | ~is_a_theorem(strict_implies(X75,and(not(X76),possibly(X77))))) ) | (~spl94_180 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_367 | ~spl94_385 | ~spl94_463)), 56.32/7.43 inference(backward_demodulation,[],[f19440,f23000])). 56.32/7.43 fof(f19440,plain,( 56.32/7.43 ( ! [X76,X77,X75] : (~is_a_theorem(necessarily(and(X75,implies(possibly(X77),X76)))) | ~is_a_theorem(strict_implies(X75,and(not(X76),possibly(X77))))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_367 | ~spl94_385 | ~spl94_463)), 56.32/7.43 inference(backward_demodulation,[],[f10461,f19323])). 56.32/7.43 fof(f10461,plain,( 56.32/7.43 ( ! [X76,X77,X75] : (~is_a_theorem(strict_implies(X75,and(not(X76),possibly(X77)))) | ~is_a_theorem(necessarily(and(X75,or(X76,not(possibly(X77))))))) ) | (~spl94_257 | ~spl94_367 | ~spl94_385)), 56.32/7.43 inference(forward_demodulation,[],[f10407,f4206])). 56.32/7.43 fof(f10407,plain,( 56.32/7.43 ( ! [X76,X77,X75] : (~is_a_theorem(not(not(strict_implies(X75,and(not(X76),possibly(X77)))))) | ~is_a_theorem(necessarily(and(X75,or(X76,not(possibly(X77))))))) ) | (~spl94_367 | ~spl94_385)), 56.32/7.43 inference(superposition,[],[f8707,f10080])). 56.32/7.43 fof(f10080,plain,( 56.32/7.43 ( ! [X16,X17,X15] : (not(strict_implies(X17,and(not(X15),possibly(X16)))) = possibly(and(X17,or(X15,not(possibly(X16)))))) ) | ~spl94_385), 56.32/7.43 inference(avatar_component_clause,[],[f10079])). 56.32/7.43 fof(f10079,plain,( 56.32/7.43 spl94_385 <=> ! [X16,X17,X15] : not(strict_implies(X17,and(not(X15),possibly(X16)))) = possibly(and(X17,or(X15,not(possibly(X16)))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_385])])). 56.32/7.43 fof(f24854,plain,( 56.32/7.43 ~spl94_180 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_287 | ~spl94_385 | ~spl94_463), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24853])). 56.32/7.43 fof(f24853,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_287 | ~spl94_385 | ~spl94_463)), 56.32/7.43 inference(subsumption_resolution,[],[f24852,f2212])). 56.32/7.43 fof(f24852,plain,( 56.32/7.43 ( ! [X21,X22,X23] : (~is_a_theorem(strict_implies(X21,and(not(X22),possibly(X23))))) ) | (~spl94_180 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_287 | ~spl94_385 | ~spl94_463)), 56.32/7.43 inference(subsumption_resolution,[],[f23727,f2212])). 56.32/7.43 fof(f23727,plain,( 56.32/7.43 ( ! [X21,X22,X23] : (~is_a_theorem(implies(possibly(X23),X22)) | ~is_a_theorem(strict_implies(X21,and(not(X22),possibly(X23))))) ) | (~spl94_180 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_287 | ~spl94_385 | ~spl94_463)), 56.32/7.43 inference(backward_demodulation,[],[f19439,f23000])). 56.32/7.43 fof(f19439,plain,( 56.32/7.43 ( ! [X21,X22,X23] : (~is_a_theorem(and(X21,implies(possibly(X23),X22))) | ~is_a_theorem(strict_implies(X21,and(not(X22),possibly(X23))))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_287 | ~spl94_385 | ~spl94_463)), 56.32/7.43 inference(backward_demodulation,[],[f10436,f19323])). 56.32/7.43 fof(f10436,plain,( 56.32/7.43 ( ! [X21,X22,X23] : (~is_a_theorem(strict_implies(X21,and(not(X22),possibly(X23)))) | ~is_a_theorem(and(X21,or(X22,not(possibly(X23)))))) ) | (~spl94_257 | ~spl94_287 | ~spl94_385)), 56.32/7.43 inference(forward_demodulation,[],[f10392,f4206])). 56.32/7.43 fof(f10392,plain,( 56.32/7.43 ( ! [X21,X22,X23] : (~is_a_theorem(not(not(strict_implies(X21,and(not(X22),possibly(X23)))))) | ~is_a_theorem(and(X21,or(X22,not(possibly(X23)))))) ) | (~spl94_287 | ~spl94_385)), 56.32/7.43 inference(superposition,[],[f5772,f10080])). 56.32/7.43 fof(f24851,plain,( 56.32/7.43 ~spl94_180 | ~spl94_257 | ~spl94_367 | ~spl94_462), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24850])). 56.32/7.43 fof(f24850,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_257 | ~spl94_367 | ~spl94_462)), 56.32/7.43 inference(subsumption_resolution,[],[f24849,f2212])). 56.32/7.43 fof(f24849,plain,( 56.32/7.43 ( ! [X54,X55,X52,X53] : (~is_a_theorem(strict_implies(X52,and(not(X53),implies(X54,X55))))) ) | (~spl94_180 | ~spl94_257 | ~spl94_367 | ~spl94_462)), 56.32/7.43 inference(subsumption_resolution,[],[f23685,f2212])). 56.32/7.43 fof(f23685,plain,( 56.32/7.43 ( ! [X54,X55,X52,X53] : (~is_a_theorem(necessarily(implies(implies(X54,X55),X53))) | ~is_a_theorem(strict_implies(X52,and(not(X53),implies(X54,X55))))) ) | (~spl94_180 | ~spl94_257 | ~spl94_367 | ~spl94_462)), 56.32/7.43 inference(backward_demodulation,[],[f17786,f23000])). 56.32/7.43 fof(f17786,plain,( 56.32/7.43 ( ! [X54,X55,X52,X53] : (~is_a_theorem(necessarily(and(X52,implies(implies(X54,X55),X53)))) | ~is_a_theorem(strict_implies(X52,and(not(X53),implies(X54,X55))))) ) | (~spl94_257 | ~spl94_367 | ~spl94_462)), 56.32/7.43 inference(backward_demodulation,[],[f12540,f17491])). 56.32/7.43 fof(f12540,plain,( 56.32/7.43 ( ! [X54,X55,X52,X53] : (~is_a_theorem(strict_implies(X52,and(not(X53),implies(X54,X55)))) | ~is_a_theorem(necessarily(and(X52,or(X53,and(X54,not(X55))))))) ) | (~spl94_257 | ~spl94_367)), 56.32/7.43 inference(forward_demodulation,[],[f12506,f4206])). 56.32/7.43 fof(f12506,plain,( 56.32/7.43 ( ! [X54,X55,X52,X53] : (~is_a_theorem(not(not(strict_implies(X52,and(not(X53),implies(X54,X55)))))) | ~is_a_theorem(necessarily(and(X52,or(X53,and(X54,not(X55))))))) ) | ~spl94_367), 56.32/7.43 inference(superposition,[],[f8707,f1878])). 56.32/7.43 fof(f1878,plain,( 56.32/7.43 ( ! [X21,X24,X22,X23] : (not(strict_implies(X24,and(not(X21),implies(X22,X23)))) = possibly(and(X24,or(X21,and(X22,not(X23)))))) )), 56.32/7.43 inference(superposition,[],[f956,f968])). 56.32/7.43 fof(f968,plain,( 56.32/7.43 ( ! [X2,X3,X4] : (or(X4,and(X2,not(X3))) = not(and(not(X4),implies(X2,X3)))) )), 56.32/7.43 inference(superposition,[],[f471,f468])). 56.32/7.43 fof(f24848,plain,( 56.32/7.43 ~spl94_180 | ~spl94_257 | ~spl94_287 | ~spl94_462), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24847])). 56.32/7.43 fof(f24847,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_257 | ~spl94_287 | ~spl94_462)), 56.32/7.43 inference(subsumption_resolution,[],[f24846,f2212])). 56.32/7.43 fof(f24846,plain,( 56.32/7.43 ( ! [X21,X22,X23,X20] : (~is_a_theorem(strict_implies(X20,and(not(X21),implies(X22,X23))))) ) | (~spl94_180 | ~spl94_257 | ~spl94_287 | ~spl94_462)), 56.32/7.43 inference(subsumption_resolution,[],[f23684,f2212])). 56.32/7.43 fof(f23684,plain,( 56.32/7.43 ( ! [X21,X22,X23,X20] : (~is_a_theorem(implies(implies(X22,X23),X21)) | ~is_a_theorem(strict_implies(X20,and(not(X21),implies(X22,X23))))) ) | (~spl94_180 | ~spl94_257 | ~spl94_287 | ~spl94_462)), 56.32/7.43 inference(backward_demodulation,[],[f17785,f23000])). 56.32/7.43 fof(f17785,plain,( 56.32/7.43 ( ! [X21,X22,X23,X20] : (~is_a_theorem(and(X20,implies(implies(X22,X23),X21))) | ~is_a_theorem(strict_implies(X20,and(not(X21),implies(X22,X23))))) ) | (~spl94_257 | ~spl94_287 | ~spl94_462)), 56.32/7.43 inference(backward_demodulation,[],[f12531,f17491])). 56.32/7.43 fof(f12531,plain,( 56.32/7.43 ( ! [X21,X22,X23,X20] : (~is_a_theorem(strict_implies(X20,and(not(X21),implies(X22,X23)))) | ~is_a_theorem(and(X20,or(X21,and(X22,not(X23)))))) ) | (~spl94_257 | ~spl94_287)), 56.32/7.43 inference(forward_demodulation,[],[f12499,f4206])). 56.32/7.43 fof(f12499,plain,( 56.32/7.43 ( ! [X21,X22,X23,X20] : (~is_a_theorem(not(not(strict_implies(X20,and(not(X21),implies(X22,X23)))))) | ~is_a_theorem(and(X20,or(X21,and(X22,not(X23)))))) ) | ~spl94_287), 56.32/7.43 inference(superposition,[],[f5772,f1878])). 56.32/7.43 fof(f24845,plain,( 56.32/7.43 ~spl94_180 | ~spl94_257 | ~spl94_367), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24844])). 56.32/7.43 fof(f24844,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_257 | ~spl94_367)), 56.32/7.43 inference(subsumption_resolution,[],[f24843,f2212])). 56.32/7.43 fof(f24843,plain,( 56.32/7.43 ( ! [X91,X94,X92,X93] : (~is_a_theorem(necessarily(and(X91,implies(X92,and(X93,not(X94))))))) ) | (~spl94_180 | ~spl94_257 | ~spl94_367)), 56.32/7.43 inference(subsumption_resolution,[],[f23527,f2212])). 56.32/7.43 fof(f23527,plain,( 56.32/7.43 ( ! [X91,X94,X92,X93] : (~is_a_theorem(strict_implies(X91,implies(X93,X94))) | ~is_a_theorem(necessarily(and(X91,implies(X92,and(X93,not(X94))))))) ) | (~spl94_180 | ~spl94_257 | ~spl94_367)), 56.32/7.43 inference(backward_demodulation,[],[f11347,f23000])). 56.32/7.43 fof(f11347,plain,( 56.32/7.43 ( ! [X91,X94,X92,X93] : (~is_a_theorem(strict_implies(X91,and(X92,implies(X93,X94)))) | ~is_a_theorem(necessarily(and(X91,implies(X92,and(X93,not(X94))))))) ) | (~spl94_257 | ~spl94_367)), 56.32/7.43 inference(forward_demodulation,[],[f11290,f4206])). 56.32/7.43 fof(f11290,plain,( 56.32/7.43 ( ! [X91,X94,X92,X93] : (~is_a_theorem(not(not(strict_implies(X91,and(X92,implies(X93,X94)))))) | ~is_a_theorem(necessarily(and(X91,implies(X92,and(X93,not(X94))))))) ) | ~spl94_367), 56.32/7.43 inference(superposition,[],[f8707,f1760])). 56.32/7.43 fof(f1760,plain,( 56.32/7.43 ( ! [X21,X18,X19,X20] : (not(strict_implies(X21,and(X18,implies(X19,X20)))) = possibly(and(X21,implies(X18,and(X19,not(X20)))))) )), 56.32/7.43 inference(superposition,[],[f956,f954])). 56.32/7.43 fof(f24842,plain,( 56.32/7.43 ~spl94_180 | ~spl94_257 | ~spl94_287), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24841])). 56.32/7.43 fof(f24841,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_257 | ~spl94_287)), 56.32/7.43 inference(subsumption_resolution,[],[f24840,f2212])). 56.32/7.43 fof(f24840,plain,( 56.32/7.43 ( ! [X31,X28,X29,X30] : (~is_a_theorem(and(X28,implies(X29,and(X30,not(X31)))))) ) | (~spl94_180 | ~spl94_257 | ~spl94_287)), 56.32/7.43 inference(subsumption_resolution,[],[f23526,f2212])). 56.32/7.43 fof(f23526,plain,( 56.32/7.43 ( ! [X31,X28,X29,X30] : (~is_a_theorem(strict_implies(X28,implies(X30,X31))) | ~is_a_theorem(and(X28,implies(X29,and(X30,not(X31)))))) ) | (~spl94_180 | ~spl94_257 | ~spl94_287)), 56.32/7.43 inference(backward_demodulation,[],[f11318,f23000])). 56.32/7.43 fof(f11318,plain,( 56.32/7.43 ( ! [X31,X28,X29,X30] : (~is_a_theorem(strict_implies(X28,and(X29,implies(X30,X31)))) | ~is_a_theorem(and(X28,implies(X29,and(X30,not(X31)))))) ) | (~spl94_257 | ~spl94_287)), 56.32/7.43 inference(forward_demodulation,[],[f11276,f4206])). 56.32/7.43 fof(f11276,plain,( 56.32/7.43 ( ! [X31,X28,X29,X30] : (~is_a_theorem(not(not(strict_implies(X28,and(X29,implies(X30,X31)))))) | ~is_a_theorem(and(X28,implies(X29,and(X30,not(X31)))))) ) | ~spl94_287), 56.32/7.43 inference(superposition,[],[f5772,f1760])). 56.32/7.43 fof(f24839,plain,( 56.32/7.43 ~spl94_180 | ~spl94_229), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24838])). 56.32/7.43 fof(f24838,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_229)), 56.32/7.43 inference(subsumption_resolution,[],[f24837,f2212])). 56.32/7.43 fof(f24837,plain,( 56.32/7.43 ( ! [X10,X11,X9] : (~is_a_theorem(strict_implies(X9,and(X10,not(X11))))) ) | (~spl94_180 | ~spl94_229)), 56.32/7.43 inference(subsumption_resolution,[],[f23470,f2212])). 56.32/7.43 fof(f23470,plain,( 56.32/7.43 ( ! [X10,X11,X9] : (~is_a_theorem(possibly(implies(X10,X11))) | ~is_a_theorem(strict_implies(X9,and(X10,not(X11))))) ) | (~spl94_180 | ~spl94_229)), 56.32/7.43 inference(backward_demodulation,[],[f3177,f23000])). 56.32/7.43 fof(f3177,plain,( 56.32/7.43 ( ! [X10,X11,X9] : (~is_a_theorem(strict_implies(X9,and(X10,not(X11)))) | ~is_a_theorem(possibly(and(X9,implies(X10,X11))))) ) | ~spl94_229), 56.32/7.43 inference(forward_demodulation,[],[f3168,f467])). 56.32/7.43 fof(f3168,plain,( 56.32/7.43 ( ! [X10,X11,X9] : (~is_a_theorem(necessarily(implies(X9,and(X10,not(X11))))) | ~is_a_theorem(possibly(and(X9,implies(X10,X11))))) ) | ~spl94_229), 56.32/7.43 inference(superposition,[],[f3076,f954])). 56.32/7.43 fof(f24836,plain,( 56.32/7.43 ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_266), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24835])). 56.32/7.43 fof(f24835,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_266)), 56.32/7.43 inference(subsumption_resolution,[],[f24058,f2212])). 56.32/7.43 fof(f24058,plain,( 56.32/7.43 ~is_a_theorem(not(sK71)) | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_266)), 56.32/7.43 inference(backward_demodulation,[],[f4806,f23385])). 56.32/7.43 fof(f23385,plain,( 56.32/7.43 ( ! [X29,X30] : (not(X29) = implies(X30,not(X29))) ) | (~spl94_180 | ~spl94_191 | ~spl94_258)), 56.32/7.43 inference(backward_demodulation,[],[f4604,f23000])). 56.32/7.43 fof(f4806,plain,( 56.32/7.43 ~is_a_theorem(implies(sK70,not(sK71))) | spl94_266), 56.32/7.43 inference(avatar_component_clause,[],[f4804])). 56.32/7.43 fof(f4804,plain,( 56.32/7.43 spl94_266 <=> is_a_theorem(implies(sK70,not(sK71)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_266])])). 56.32/7.43 fof(f24834,plain,( 56.32/7.43 ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_271), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24833])). 56.32/7.43 fof(f24833,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_271)), 56.32/7.43 inference(subsumption_resolution,[],[f24057,f2212])). 56.32/7.43 fof(f24057,plain,( 56.32/7.43 ~is_a_theorem(not(sK30)) | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_271)), 56.32/7.43 inference(backward_demodulation,[],[f4848,f23385])). 56.32/7.43 fof(f4848,plain,( 56.32/7.43 ~is_a_theorem(implies(sK32,not(sK30))) | spl94_271), 56.32/7.43 inference(avatar_component_clause,[],[f4846])). 56.32/7.43 fof(f4846,plain,( 56.32/7.43 spl94_271 <=> is_a_theorem(implies(sK32,not(sK30)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_271])])). 56.32/7.43 fof(f24832,plain,( 56.32/7.43 ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_265), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24831])). 56.32/7.43 fof(f24831,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_265)), 56.32/7.43 inference(subsumption_resolution,[],[f24056,f2212])). 56.32/7.43 fof(f24056,plain,( 56.32/7.43 ~is_a_theorem(implies(implies(sK30,sK31),not(sK30))) | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_265)), 56.32/7.43 inference(backward_demodulation,[],[f22540,f23385])). 56.32/7.43 fof(f22540,plain,( 56.32/7.43 ~is_a_theorem(implies(implies(sK30,sK31),implies(sK32,not(sK30)))) | spl94_265), 56.32/7.43 inference(resolution,[],[f3947,f4801])). 56.32/7.43 fof(f24830,plain,( 56.32/7.43 ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_265), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24829])). 56.32/7.43 fof(f24829,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_265)), 56.32/7.43 inference(subsumption_resolution,[],[f24055,f2212])). 56.32/7.43 fof(f24055,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(not(sK32),implies(sK32,not(sK30)))) | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_265)), 56.32/7.43 inference(backward_demodulation,[],[f5839,f23385])). 56.32/7.43 fof(f5839,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(implies(sK31,not(sK32)),implies(sK32,not(sK30)))) | (~spl94_191 | ~spl94_258 | spl94_265)), 56.32/7.43 inference(forward_demodulation,[],[f5838,f4604])). 56.32/7.43 fof(f5838,plain,( 56.32/7.43 ~is_a_theorem(strict_implies(not(and(sK31,sK32)),implies(sK32,not(sK30)))) | spl94_265), 56.32/7.43 inference(forward_demodulation,[],[f5825,f1333])). 56.32/7.43 fof(f5825,plain,( 56.32/7.43 ~is_a_theorem(necessarily(or(and(sK31,sK32),implies(sK32,not(sK30))))) | spl94_265), 56.32/7.43 inference(resolution,[],[f3267,f4801])). 56.32/7.43 fof(f24828,plain,( 56.32/7.43 ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_308), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24827])). 56.32/7.43 fof(f24827,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_308)), 56.32/7.43 inference(subsumption_resolution,[],[f24054,f2212])). 56.32/7.43 fof(f24054,plain,( 56.32/7.43 ~is_a_theorem(not(sK22)) | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_308)), 56.32/7.43 inference(backward_demodulation,[],[f5997,f23385])). 56.32/7.43 fof(f5997,plain,( 56.32/7.43 ~is_a_theorem(implies(sK21,not(sK22))) | spl94_308), 56.32/7.43 inference(avatar_component_clause,[],[f5995])). 56.32/7.43 fof(f5995,plain,( 56.32/7.43 spl94_308 <=> is_a_theorem(implies(sK21,not(sK22)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_308])])). 56.32/7.43 fof(f24826,plain,( 56.32/7.43 ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_352), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24825])). 56.32/7.43 fof(f24825,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_352)), 56.32/7.43 inference(subsumption_resolution,[],[f24053,f2212])). 56.32/7.43 fof(f24053,plain,( 56.32/7.43 ~is_a_theorem(not(sK16)) | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_352)), 56.32/7.43 inference(backward_demodulation,[],[f7605,f23385])). 56.32/7.43 fof(f7605,plain,( 56.32/7.43 ~is_a_theorem(implies(sK15,not(sK16))) | spl94_352), 56.32/7.43 inference(avatar_component_clause,[],[f7603])). 56.32/7.43 fof(f7603,plain,( 56.32/7.43 spl94_352 <=> is_a_theorem(implies(sK15,not(sK16)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_352])])). 56.32/7.43 fof(f24824,plain,( 56.32/7.43 ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_354), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24823])). 56.32/7.43 fof(f24823,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_354)), 56.32/7.43 inference(subsumption_resolution,[],[f24052,f2212])). 56.32/7.43 fof(f24052,plain,( 56.32/7.43 ~is_a_theorem(not(sK10)) | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_354)), 56.32/7.43 inference(backward_demodulation,[],[f7614,f23385])). 56.32/7.43 fof(f7614,plain,( 56.32/7.43 ~is_a_theorem(implies(sK9,not(sK10))) | spl94_354), 56.32/7.43 inference(avatar_component_clause,[],[f7612])). 56.32/7.43 fof(f7612,plain,( 56.32/7.43 spl94_354 <=> is_a_theorem(implies(sK9,not(sK10)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_354])])). 56.32/7.43 fof(f24822,plain,( 56.32/7.43 ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_487), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24821])). 56.32/7.43 fof(f24821,plain,( 56.32/7.43 $false | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_487)), 56.32/7.43 inference(subsumption_resolution,[],[f24042,f2212])). 56.32/7.43 fof(f24042,plain,( 56.32/7.43 ~is_a_theorem(not(strict_implies(sK34,sK35))) | (~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_487)), 56.32/7.43 inference(backward_demodulation,[],[f20641,f23385])). 56.32/7.43 fof(f20641,plain,( 56.32/7.43 ~is_a_theorem(implies(strict_implies(sK33,sK34),not(strict_implies(sK34,sK35)))) | spl94_487), 56.32/7.43 inference(avatar_component_clause,[],[f20639])). 56.32/7.43 fof(f20639,plain,( 56.32/7.43 spl94_487 <=> is_a_theorem(implies(strict_implies(sK33,sK34),not(strict_implies(sK34,sK35))))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_487])])). 56.32/7.43 fof(f24820,plain,( 56.32/7.43 spl94_120 | ~spl94_180 | ~spl94_191 | ~spl94_258), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24819])). 56.32/7.43 fof(f24819,plain,( 56.32/7.43 $false | (spl94_120 | ~spl94_180 | ~spl94_191 | ~spl94_258)), 56.32/7.43 inference(subsumption_resolution,[],[f24041,f2212])). 56.32/7.43 fof(f24041,plain,( 56.32/7.43 ~is_a_theorem(not(strict_implies(sK25,sK26))) | (spl94_120 | ~spl94_180 | ~spl94_191 | ~spl94_258)), 56.32/7.43 inference(backward_demodulation,[],[f4682,f23385])). 56.32/7.43 fof(f4682,plain,( 56.32/7.43 ~is_a_theorem(implies(strict_implies(sK24,sK25),not(strict_implies(sK25,sK26)))) | (spl94_120 | ~spl94_191 | ~spl94_258)), 56.32/7.43 inference(backward_demodulation,[],[f1717,f4604])). 56.32/7.43 fof(f1717,plain,( 56.32/7.43 ~is_a_theorem(not(and(strict_implies(sK24,sK25),strict_implies(sK25,sK26)))) | spl94_120), 56.32/7.43 inference(resolution,[],[f1494,f1188])). 56.32/7.43 fof(f1494,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(strict_implies(X0,X1)) | ~is_a_theorem(not(X0))) )), 56.32/7.43 inference(resolution,[],[f1479,f866])). 56.32/7.43 fof(f1479,plain,( 56.32/7.43 ( ! [X2,X3] : (is_a_theorem(implies(X2,X3)) | ~is_a_theorem(not(X2))) )), 56.32/7.43 inference(resolution,[],[f1004,f868])). 56.32/7.43 fof(f868,plain,( 56.32/7.43 ( ! [X0,X1] : (is_a_theorem(or(X0,X1)) | ~is_a_theorem(X1)) )), 56.32/7.43 inference(resolution,[],[f489,f481])). 56.32/7.43 fof(f24818,plain,( 56.32/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_204 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24817])). 56.32/7.43 fof(f24817,plain,( 56.32/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_204 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.32/7.43 inference(subsumption_resolution,[],[f24232,f2212])). 56.32/7.43 fof(f24232,plain,( 56.32/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_204 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.32/7.43 inference(backward_demodulation,[],[f2524,f24098])). 56.32/7.43 fof(f24098,plain,( 56.32/7.43 ( ! [X56,X57] : (sK80 = or(X56,X57)) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.32/7.43 inference(forward_demodulation,[],[f24038,f15631])). 56.32/7.43 fof(f24038,plain,( 56.32/7.43 ( ! [X56,X57] : (or(X56,X57) = implies(not(sK80),X57)) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427)), 56.32/7.43 inference(backward_demodulation,[],[f13916,f23385])). 56.32/7.43 fof(f13916,plain,( 56.32/7.43 ( ! [X56,X57] : (or(X56,X57) = implies(implies(X56,not(sK80)),X57)) ) | (~spl94_75 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427)), 56.32/7.43 inference(forward_demodulation,[],[f13915,f12920])). 56.32/7.43 fof(f12920,plain,( 56.32/7.43 ( ! [X38,X36,X37] : (implies(X38,and(not(sK80),implies(X36,X37))) = implies(X38,not(sK80))) ) | (~spl94_191 | ~spl94_258 | ~spl94_414)), 56.32/7.43 inference(forward_demodulation,[],[f12898,f4604])). 56.32/7.43 fof(f12898,plain,( 56.32/7.43 ( ! [X38,X36,X37] : (implies(X38,and(not(sK80),implies(X36,X37))) = not(and(X38,sK80))) ) | ~spl94_414), 56.32/7.43 inference(superposition,[],[f1873,f12548])). 56.32/7.43 fof(f1873,plain,( 56.32/7.43 ( ! [X3,X6,X4,X5] : (implies(X6,and(not(X3),implies(X4,X5))) = not(and(X6,or(X3,and(X4,not(X5)))))) )), 56.32/7.43 inference(superposition,[],[f468,f968])). 56.32/7.43 fof(f13915,plain,( 56.32/7.43 ( ! [X56,X54,X57,X55] : (or(X56,X57) = implies(implies(X56,and(not(sK80),implies(X54,X55))),X57)) ) | (~spl94_75 | ~spl94_414 | ~spl94_427)), 56.32/7.43 inference(forward_demodulation,[],[f13849,f13652])). 56.32/7.43 fof(f13849,plain,( 56.32/7.43 ( ! [X56,X54,X57,X55] : (implies(implies(X56,and(not(sK80),implies(X54,X55))),X57) = or(and(X56,sK80),X57)) ) | ~spl94_414), 56.32/7.43 inference(superposition,[],[f1882,f12548])). 56.32/7.43 fof(f1882,plain,( 56.32/7.43 ( ! [X40,X38,X41,X39,X37] : (implies(implies(X40,and(not(X37),implies(X38,X39))),X41) = or(and(X40,or(X37,and(X38,not(X39)))),X41)) )), 56.32/7.43 inference(superposition,[],[f975,f968])). 56.32/7.43 fof(f2524,plain,( 56.32/7.43 ~is_a_theorem(not(or(sK82,sK83))) | spl94_204), 56.32/7.43 inference(avatar_component_clause,[],[f2522])). 56.32/7.43 fof(f2522,plain,( 56.32/7.43 spl94_204 <=> is_a_theorem(not(or(sK82,sK83)))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_204])])). 56.32/7.43 fof(f24816,plain,( 56.32/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_506), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24815])). 56.32/7.43 fof(f24815,plain,( 56.32/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_506)), 56.32/7.43 inference(subsumption_resolution,[],[f24231,f2212])). 56.32/7.43 fof(f24231,plain,( 56.32/7.43 ~is_a_theorem(implies(sK80,sK84)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_506)), 56.32/7.43 inference(backward_demodulation,[],[f22749,f24098])). 56.32/7.43 fof(f22749,plain,( 56.32/7.43 ~is_a_theorem(implies(or(sK82,sK83),sK84)) | spl94_506), 56.32/7.43 inference(avatar_component_clause,[],[f22747])). 56.32/7.43 fof(f22747,plain,( 56.32/7.43 spl94_506 <=> is_a_theorem(implies(or(sK82,sK83),sK84))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_506])])). 56.32/7.43 fof(f24814,plain,( 56.32/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_507), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24813])). 56.32/7.43 fof(f24813,plain,( 56.32/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_507)), 56.32/7.43 inference(subsumption_resolution,[],[f24230,f2212])). 56.32/7.43 fof(f24230,plain,( 56.32/7.43 ~is_a_theorem(implies(sK80,sK82)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_507)), 56.32/7.43 inference(backward_demodulation,[],[f22754,f24098])). 56.32/7.43 fof(f22754,plain,( 56.32/7.43 ~is_a_theorem(implies(or(sK82,sK83),sK82)) | spl94_507), 56.32/7.43 inference(avatar_component_clause,[],[f22752])). 56.32/7.43 fof(f22752,plain,( 56.32/7.43 spl94_507 <=> is_a_theorem(implies(or(sK82,sK83),sK82))), 56.32/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_507])])). 56.32/7.43 fof(f24812,plain,( 56.32/7.43 ~spl94_75 | spl94_130 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.32/7.43 inference(avatar_contradiction_clause,[],[f24811])). 56.32/7.43 fof(f24811,plain,( 56.32/7.43 $false | (~spl94_75 | spl94_130 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24229,f2212])). 56.55/7.43 fof(f24229,plain,( 56.55/7.43 ~is_a_theorem(implies(implies(sK83,sK84),implies(or(sK82,sK83),sK80))) | (~spl94_75 | spl94_130 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f1242,f24098])). 56.55/7.43 fof(f24810,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | spl94_184 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24809])). 56.55/7.43 fof(f24809,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | spl94_184 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24228,f2212])). 56.55/7.43 fof(f24228,plain,( 56.55/7.43 ~is_a_theorem(implies(or(sK82,sK83),sK80)) | (~spl94_75 | ~spl94_180 | spl94_184 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f2232,f24098])). 56.55/7.43 fof(f24808,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_200 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24807])). 56.55/7.43 fof(f24807,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_200 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24227,f2212])). 56.55/7.43 fof(f24227,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_200 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f2443,f24098])). 56.55/7.43 fof(f2443,plain,( 56.55/7.43 ~is_a_theorem(or(sK82,sK84)) | spl94_200), 56.55/7.43 inference(avatar_component_clause,[],[f2441])). 56.55/7.43 fof(f2441,plain,( 56.55/7.43 spl94_200 <=> is_a_theorem(or(sK82,sK84))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_200])])). 56.55/7.43 fof(f24806,plain,( 56.55/7.43 ~spl94_75 | spl94_130 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24805])). 56.55/7.43 fof(f24805,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_130 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24226,f2212])). 56.55/7.43 fof(f24226,plain,( 56.55/7.43 ~is_a_theorem(strict_implies(or(sK82,sK83),sK80)) | (~spl94_75 | spl94_130 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f5837,f24098])). 56.55/7.43 fof(f24804,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_339 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24803])). 56.55/7.43 fof(f24803,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_339 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24225,f2212])). 56.55/7.43 fof(f24225,plain,( 56.55/7.43 ~is_a_theorem(implies(sK83,sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_339 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f7312,f24098])). 56.55/7.43 fof(f7312,plain,( 56.55/7.43 ~is_a_theorem(implies(sK83,or(sK82,sK84))) | spl94_339), 56.55/7.43 inference(avatar_component_clause,[],[f7310])). 56.55/7.43 fof(f7310,plain,( 56.55/7.43 spl94_339 <=> is_a_theorem(implies(sK83,or(sK82,sK84)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_339])])). 56.55/7.43 fof(f24802,plain,( 56.55/7.43 ~spl94_75 | spl94_130 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24801])). 56.55/7.43 fof(f24801,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_130 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24224,f2212])). 56.55/7.43 fof(f24224,plain,( 56.55/7.43 ~is_a_theorem(implies(implies(sK83,sK84),sK80)) | (~spl94_75 | spl94_130 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f22386,f24098])). 56.55/7.43 fof(f24800,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | spl94_185 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24799])). 56.55/7.43 fof(f24799,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | spl94_185 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24223,f2212])). 56.55/7.43 fof(f24223,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | ~spl94_180 | spl94_185 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f2248,f24098])). 56.55/7.43 fof(f24798,plain,( 56.55/7.43 ~spl94_75 | spl94_125 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24797])). 56.55/7.43 fof(f24797,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_125 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24222,f2212])). 56.55/7.43 fof(f24222,plain,( 56.55/7.43 ~is_a_theorem(implies(sK80,sK28)) | (~spl94_75 | spl94_125 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f22603,f24098])). 56.55/7.43 fof(f24796,plain,( 56.55/7.43 ~spl94_75 | spl94_125 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24795])). 56.55/7.43 fof(f24795,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_125 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24221,f2212])). 56.55/7.43 fof(f24221,plain,( 56.55/7.43 ~is_a_theorem(implies(or(sK27,or(sK28,sK29)),sK80)) | (~spl94_75 | spl94_125 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f22543,f24098])). 56.55/7.43 fof(f22543,plain,( 56.55/7.43 ~is_a_theorem(implies(or(sK27,or(sK28,sK29)),or(sK27,sK29))) | spl94_125), 56.55/7.43 inference(resolution,[],[f3947,f1214])). 56.55/7.43 fof(f24794,plain,( 56.55/7.43 ~spl94_75 | spl94_125 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24793])). 56.55/7.43 fof(f24793,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_125 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24792,f2212])). 56.55/7.43 fof(f24792,plain,( 56.55/7.43 ~is_a_theorem(implies(or(sK28,sK29),or(sK28,or(sK27,sK29)))) | (~spl94_75 | spl94_125 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24220,f2212])). 56.55/7.43 fof(f24220,plain,( 56.55/7.43 ~is_a_theorem(implies(sK27,or(sK28,sK80))) | ~is_a_theorem(implies(or(sK28,sK29),or(sK28,or(sK27,sK29)))) | (~spl94_75 | spl94_125 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f7298,f24098])). 56.55/7.43 fof(f7298,plain,( 56.55/7.43 ~is_a_theorem(implies(sK27,or(sK28,or(sK27,sK29)))) | ~is_a_theorem(implies(or(sK28,sK29),or(sK28,or(sK27,sK29)))) | spl94_125), 56.55/7.43 inference(resolution,[],[f2062,f1214])). 56.55/7.43 fof(f2062,plain,( 56.55/7.43 ( ! [X3,X4,X5] : (is_a_theorem(implies(or(X3,X5),X4)) | ~is_a_theorem(implies(X3,X4)) | ~is_a_theorem(implies(X5,X4))) )), 56.55/7.43 inference(resolution,[],[f1287,f489])). 56.55/7.43 fof(f24791,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_327 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24790])). 56.55/7.43 fof(f24790,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_327 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24219,f2212])). 56.55/7.43 fof(f24219,plain,( 56.55/7.43 ~is_a_theorem(strict_implies(not(sK28),sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_327 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f6434,f24098])). 56.55/7.43 fof(f6434,plain,( 56.55/7.43 ~is_a_theorem(strict_implies(not(sK28),or(sK27,sK29))) | spl94_327), 56.55/7.43 inference(avatar_component_clause,[],[f6432])). 56.55/7.43 fof(f6432,plain,( 56.55/7.43 spl94_327 <=> is_a_theorem(strict_implies(not(sK28),or(sK27,sK29)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_327])])). 56.55/7.43 fof(f24789,plain,( 56.55/7.43 ~spl94_75 | spl94_143 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24788])). 56.55/7.43 fof(f24788,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_143 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24218,f2212])). 56.55/7.43 fof(f24218,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | spl94_143 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f1372,f24098])). 56.55/7.43 fof(f1372,plain,( 56.55/7.43 ~is_a_theorem(or(sK27,sK29)) | spl94_143), 56.55/7.43 inference(avatar_component_clause,[],[f1370])). 56.55/7.43 fof(f1370,plain,( 56.55/7.43 spl94_143 <=> is_a_theorem(or(sK27,sK29))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_143])])). 56.55/7.43 fof(f24787,plain,( 56.55/7.43 ~spl94_75 | spl94_141 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24786])). 56.55/7.43 fof(f24786,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_141 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24217,f2212])). 56.55/7.43 fof(f24217,plain,( 56.55/7.43 ~is_a_theorem(or(sK28,sK80)) | (~spl94_75 | spl94_141 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f1321,f24098])). 56.55/7.43 fof(f24785,plain,( 56.55/7.43 ~spl94_75 | spl94_125 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24784])). 56.55/7.43 fof(f24784,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_125 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24216,f2212])). 56.55/7.43 fof(f24216,plain,( 56.55/7.43 ~is_a_theorem(implies(or(sK27,or(sK28,sK29)),or(sK28,sK80))) | (~spl94_75 | spl94_125 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f1214,f24098])). 56.55/7.43 fof(f24783,plain,( 56.55/7.43 ~spl94_75 | spl94_89 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24782])). 56.55/7.43 fof(f24782,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_89 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24215,f2212])). 56.55/7.43 fof(f24215,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | spl94_89 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f941,f24098])). 56.55/7.43 fof(f941,plain,( 56.55/7.43 ~is_a_theorem(or(sK12,sK11)) | spl94_89), 56.55/7.43 inference(avatar_component_clause,[],[f939])). 56.55/7.43 fof(f939,plain,( 56.55/7.43 spl94_89 <=> is_a_theorem(or(sK12,sK11))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_89])])). 56.55/7.43 fof(f24781,plain,( 56.55/7.43 ~spl94_75 | spl94_160 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24780])). 56.55/7.43 fof(f24780,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_160 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24214,f2212])). 56.55/7.43 fof(f24214,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | spl94_160 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f1582,f24098])). 56.55/7.43 fof(f24779,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_464), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24778])). 56.55/7.43 fof(f24778,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_464)), 56.55/7.43 inference(subsumption_resolution,[],[f24213,f2212])). 56.55/7.43 fof(f24213,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_464)), 56.55/7.43 inference(backward_demodulation,[],[f19250,f24098])). 56.55/7.43 fof(f19250,plain,( 56.55/7.43 ~is_a_theorem(or(sK11,sK12)) | spl94_464), 56.55/7.43 inference(avatar_component_clause,[],[f19248])). 56.55/7.43 fof(f19248,plain,( 56.55/7.43 spl94_464 <=> is_a_theorem(or(sK11,sK12))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_464])])). 56.55/7.43 fof(f24777,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_335 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24776])). 56.55/7.43 fof(f24776,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_335 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24775,f2212])). 56.55/7.43 fof(f24775,plain,( 56.55/7.43 ( ! [X3,X4] : (~is_a_theorem(strict_implies(not(X3),X4))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_335 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24102,f2212])). 56.55/7.43 fof(f24102,plain,( 56.55/7.43 ( ! [X3,X4] : (~is_a_theorem(not(sK80)) | ~is_a_theorem(strict_implies(not(X3),X4))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_335 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f6791,f24098])). 56.55/7.43 fof(f6791,plain,( 56.55/7.43 ( ! [X3,X4] : (~is_a_theorem(strict_implies(not(X3),X4)) | ~is_a_theorem(not(or(X3,X4)))) ) | ~spl94_335), 56.55/7.43 inference(superposition,[],[f6784,f1333])). 56.55/7.43 fof(f24774,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_334 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24773])). 56.55/7.43 fof(f24773,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_334 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24772,f2212])). 56.55/7.43 fof(f24772,plain,( 56.55/7.43 ( ! [X3,X4] : (~is_a_theorem(not(strict_implies(not(X3),X4)))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_334 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24101,f2212])). 56.55/7.43 fof(f24101,plain,( 56.55/7.43 ( ! [X3,X4] : (~is_a_theorem(sK80) | ~is_a_theorem(not(strict_implies(not(X3),X4)))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_334 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f6761,f24098])). 56.55/7.43 fof(f6761,plain,( 56.55/7.43 ( ! [X3,X4] : (~is_a_theorem(not(strict_implies(not(X3),X4))) | ~is_a_theorem(or(X3,X4))) ) | ~spl94_334), 56.55/7.43 inference(superposition,[],[f6728,f1333])). 56.55/7.43 fof(f24771,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_295 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24770])). 56.55/7.43 fof(f24770,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_295 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24247,f2212])). 56.55/7.43 fof(f24247,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_295 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f5870,f24240])). 56.55/7.43 fof(f24240,plain,( 56.55/7.43 ( ! [X0,X1] : (sK80 = strict_implies(not(X0),X1)) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(forward_demodulation,[],[f24100,f12103])). 56.55/7.43 fof(f12103,plain,( 56.55/7.43 sK80 = necessarily(sK80) | ~spl94_405), 56.55/7.43 inference(avatar_component_clause,[],[f12101])). 56.55/7.43 fof(f12101,plain,( 56.55/7.43 spl94_405 <=> sK80 = necessarily(sK80)), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_405])])). 56.55/7.43 fof(f24100,plain,( 56.55/7.43 ( ! [X0,X1] : (necessarily(sK80) = strict_implies(not(X0),X1)) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f1333,f24098])). 56.55/7.43 fof(f5870,plain,( 56.55/7.43 ~is_a_theorem(strict_implies(not(sK82),sK84)) | spl94_295), 56.55/7.43 inference(avatar_component_clause,[],[f5868])). 56.55/7.43 fof(f5868,plain,( 56.55/7.43 spl94_295 <=> is_a_theorem(strict_implies(not(sK82),sK84))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_295])])). 56.55/7.43 fof(f24769,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_324 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24768])). 56.55/7.43 fof(f24768,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_324 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24246,f2212])). 56.55/7.43 fof(f24246,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_324 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f6412,f24240])). 56.55/7.43 fof(f6412,plain,( 56.55/7.43 ~is_a_theorem(strict_implies(not(sK27),sK29)) | spl94_324), 56.55/7.43 inference(avatar_component_clause,[],[f6410])). 56.55/7.43 fof(f6410,plain,( 56.55/7.43 spl94_324 <=> is_a_theorem(strict_implies(not(sK27),sK29))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_324])])). 56.55/7.43 fof(f24767,plain,( 56.55/7.43 ~spl94_75 | spl94_127 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24766])). 56.55/7.43 fof(f24766,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_127 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24245,f2212])). 56.55/7.43 fof(f24245,plain,( 56.55/7.43 ~is_a_theorem(strict_implies(strict_implies(sK78,sK79),sK80)) | (~spl94_75 | spl94_127 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f1226,f24240])). 56.55/7.43 fof(f24765,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_374 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24764])). 56.55/7.43 fof(f24764,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_374 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24244,f2212])). 56.55/7.43 fof(f24244,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_374 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f8796,f24240])). 56.55/7.43 fof(f24763,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_296 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24762])). 56.55/7.43 fof(f24762,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_296 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24360,f2212])). 56.55/7.43 fof(f24360,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_296 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f5894,f24241])). 56.55/7.43 fof(f24241,plain,( 56.55/7.43 ( ! [X10] : (sK80 = necessarily(X10)) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f6163,f24240])). 56.55/7.43 fof(f5894,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK84)) | spl94_296), 56.55/7.43 inference(avatar_component_clause,[],[f5892])). 56.55/7.43 fof(f5892,plain,( 56.55/7.43 spl94_296 <=> is_a_theorem(necessarily(sK84))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_296])])). 56.55/7.43 fof(f24761,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_379 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24760])). 56.55/7.43 fof(f24760,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_379 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24359,f2212])). 56.55/7.43 fof(f24359,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_379 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f9197,f24241])). 56.55/7.43 fof(f9197,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK82)) | spl94_379), 56.55/7.43 inference(avatar_component_clause,[],[f9195])). 56.55/7.43 fof(f9195,plain,( 56.55/7.43 spl94_379 <=> is_a_theorem(necessarily(sK82))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_379])])). 56.55/7.43 fof(f24759,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_238 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24758])). 56.55/7.43 fof(f24758,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_238 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24358,f2212])). 56.55/7.43 fof(f24358,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_238 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f3376,f24241])). 56.55/7.43 fof(f3376,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK81)) | spl94_238), 56.55/7.43 inference(avatar_component_clause,[],[f3374])). 56.55/7.43 fof(f3374,plain,( 56.55/7.43 spl94_238 <=> is_a_theorem(necessarily(sK81))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_238])])). 56.55/7.43 fof(f24757,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_458), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24756])). 56.55/7.43 fof(f24756,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_458)), 56.55/7.43 inference(subsumption_resolution,[],[f24357,f2212])). 56.55/7.43 fof(f24357,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_458)), 56.55/7.43 inference(backward_demodulation,[],[f17104,f24241])). 56.55/7.43 fof(f17104,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK79)) | spl94_458), 56.55/7.43 inference(avatar_component_clause,[],[f17102])). 56.55/7.43 fof(f17102,plain,( 56.55/7.43 spl94_458 <=> is_a_theorem(necessarily(sK79))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_458])])). 56.55/7.43 fof(f24755,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_255 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24754])). 56.55/7.43 fof(f24754,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_255 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24356,f2212])). 56.55/7.43 fof(f24356,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_255 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f4002,f24241])). 56.55/7.43 fof(f4002,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK56)) | spl94_255), 56.55/7.43 inference(avatar_component_clause,[],[f4000])). 56.55/7.43 fof(f4000,plain,( 56.55/7.43 spl94_255 <=> is_a_theorem(necessarily(sK56))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_255])])). 56.55/7.43 fof(f24753,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_237 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24752])). 56.55/7.43 fof(f24752,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_237 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24355,f2212])). 56.55/7.43 fof(f24355,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_237 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f3349,f24241])). 56.55/7.43 fof(f3349,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK35)) | spl94_237), 56.55/7.43 inference(avatar_component_clause,[],[f3347])). 56.55/7.43 fof(f3347,plain,( 56.55/7.43 spl94_237 <=> is_a_theorem(necessarily(sK35))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_237])])). 56.55/7.43 fof(f24751,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_320 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24750])). 56.55/7.43 fof(f24750,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_320 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24354,f2212])). 56.55/7.43 fof(f24354,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_320 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f6378,f24241])). 56.55/7.43 fof(f6378,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK29)) | spl94_320), 56.55/7.43 inference(avatar_component_clause,[],[f6376])). 56.55/7.43 fof(f6376,plain,( 56.55/7.43 spl94_320 <=> is_a_theorem(necessarily(sK29))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_320])])). 56.55/7.43 fof(f24749,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_380 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24748])). 56.55/7.43 fof(f24748,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_380 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24353,f2212])). 56.55/7.43 fof(f24353,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_380 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f9377,f24241])). 56.55/7.43 fof(f9377,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK28)) | spl94_380), 56.55/7.43 inference(avatar_component_clause,[],[f9375])). 56.55/7.43 fof(f9375,plain,( 56.55/7.43 spl94_380 <=> is_a_theorem(necessarily(sK28))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_380])])). 56.55/7.43 fof(f24747,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_381 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24746])). 56.55/7.43 fof(f24746,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_381 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24352,f2212])). 56.55/7.43 fof(f24352,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_381 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f9523,f24241])). 56.55/7.43 fof(f9523,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK27)) | spl94_381), 56.55/7.43 inference(avatar_component_clause,[],[f9521])). 56.55/7.43 fof(f9521,plain,( 56.55/7.43 spl94_381 <=> is_a_theorem(necessarily(sK27))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_381])])). 56.55/7.43 fof(f24745,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_236 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24744])). 56.55/7.43 fof(f24744,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_236 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24351,f2212])). 56.55/7.43 fof(f24351,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_236 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f3344,f24241])). 56.55/7.43 fof(f3344,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK26)) | spl94_236), 56.55/7.43 inference(avatar_component_clause,[],[f3342])). 56.55/7.43 fof(f3342,plain,( 56.55/7.43 spl94_236 <=> is_a_theorem(necessarily(sK26))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_236])])). 56.55/7.43 fof(f24743,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_260 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24742])). 56.55/7.43 fof(f24742,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_260 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24350,f2212])). 56.55/7.43 fof(f24350,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_260 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f4287,f24241])). 56.55/7.43 fof(f4287,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK18)) | spl94_260), 56.55/7.43 inference(avatar_component_clause,[],[f4285])). 56.55/7.43 fof(f4285,plain,( 56.55/7.43 spl94_260 <=> is_a_theorem(necessarily(sK18))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_260])])). 56.55/7.43 fof(f24741,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_235 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24740])). 56.55/7.43 fof(f24740,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_235 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24349,f2212])). 56.55/7.43 fof(f24349,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_235 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f3319,f24241])). 56.55/7.43 fof(f3319,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK17)) | spl94_235), 56.55/7.43 inference(avatar_component_clause,[],[f3317])). 56.55/7.43 fof(f3317,plain,( 56.55/7.43 spl94_235 <=> is_a_theorem(necessarily(sK17))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_235])])). 56.55/7.43 fof(f24739,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_254 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24738])). 56.55/7.43 fof(f24738,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_254 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24348,f2212])). 56.55/7.43 fof(f24348,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_254 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f3997,f24241])). 56.55/7.43 fof(f3997,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK14)) | spl94_254), 56.55/7.43 inference(avatar_component_clause,[],[f3995])). 56.55/7.43 fof(f3995,plain,( 56.55/7.43 spl94_254 <=> is_a_theorem(necessarily(sK14))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_254])])). 56.55/7.43 fof(f24737,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_382 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24736])). 56.55/7.43 fof(f24736,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_382 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24347,f2212])). 56.55/7.43 fof(f24347,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_382 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f9621,f24241])). 56.55/7.43 fof(f9621,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK12)) | spl94_382), 56.55/7.43 inference(avatar_component_clause,[],[f9619])). 56.55/7.43 fof(f9619,plain,( 56.55/7.43 spl94_382 <=> is_a_theorem(necessarily(sK12))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_382])])). 56.55/7.43 fof(f24735,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_319 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24734])). 56.55/7.43 fof(f24734,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_319 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24346,f2212])). 56.55/7.43 fof(f24346,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | spl94_319 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f6373,f24241])). 56.55/7.43 fof(f6373,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK11)) | spl94_319), 56.55/7.43 inference(avatar_component_clause,[],[f6371])). 56.55/7.43 fof(f6371,plain,( 56.55/7.43 spl94_319 <=> is_a_theorem(necessarily(sK11))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_319])])). 56.55/7.43 fof(f24733,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_234 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24732])). 56.55/7.43 fof(f24732,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_234 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24345,f2212])). 56.55/7.43 fof(f24345,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_234 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f3292,f24241])). 56.55/7.43 fof(f3292,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK9)) | spl94_234), 56.55/7.43 inference(avatar_component_clause,[],[f3290])). 56.55/7.43 fof(f3290,plain,( 56.55/7.43 spl94_234 <=> is_a_theorem(necessarily(sK9))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_234])])). 56.55/7.43 fof(f24731,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_252 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24730])). 56.55/7.43 fof(f24730,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_252 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24344,f2212])). 56.55/7.43 fof(f24344,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_252 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f3907,f24241])). 56.55/7.43 fof(f3907,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK5)) | spl94_252), 56.55/7.43 inference(avatar_component_clause,[],[f3905])). 56.55/7.43 fof(f3905,plain,( 56.55/7.43 spl94_252 <=> is_a_theorem(necessarily(sK5))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_252])])). 56.55/7.43 fof(f24729,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_253 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24728])). 56.55/7.43 fof(f24728,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_253 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24343,f2212])). 56.55/7.43 fof(f24343,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_253 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f3937,f24241])). 56.55/7.43 fof(f3937,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK4)) | spl94_253), 56.55/7.43 inference(avatar_component_clause,[],[f3935])). 56.55/7.43 fof(f3935,plain,( 56.55/7.43 spl94_253 <=> is_a_theorem(necessarily(sK4))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_253])])). 56.55/7.43 fof(f24727,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_251 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24726])). 56.55/7.43 fof(f24726,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_251 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24342,f2212])). 56.55/7.43 fof(f24342,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_251 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f3837,f24241])). 56.55/7.43 fof(f3837,plain,( 56.55/7.43 ~is_a_theorem(necessarily(sK2)) | spl94_251), 56.55/7.43 inference(avatar_component_clause,[],[f3835])). 56.55/7.43 fof(f3835,plain,( 56.55/7.43 spl94_251 <=> is_a_theorem(necessarily(sK2))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_251])])). 56.55/7.43 fof(f24725,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_456), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24724])). 56.55/7.43 fof(f24724,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_456)), 56.55/7.43 inference(subsumption_resolution,[],[f24340,f2212])). 56.55/7.43 fof(f24340,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_456)), 56.55/7.43 inference(backward_demodulation,[],[f16937,f24241])). 56.55/7.43 fof(f16937,plain,( 56.55/7.43 ~is_a_theorem(necessarily(possibly(sK79))) | spl94_456), 56.55/7.43 inference(avatar_component_clause,[],[f16935])). 56.55/7.43 fof(f16935,plain,( 56.55/7.43 spl94_456 <=> is_a_theorem(necessarily(possibly(sK79)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_456])])). 56.55/7.43 fof(f24723,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_241 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24722])). 56.55/7.43 fof(f24722,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_241 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24339,f2212])). 56.55/7.43 fof(f24339,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_241 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f3483,f24241])). 56.55/7.43 fof(f3483,plain,( 56.55/7.43 ~is_a_theorem(necessarily(possibly(sK56))) | spl94_241), 56.55/7.43 inference(avatar_component_clause,[],[f3481])). 56.55/7.43 fof(f3481,plain,( 56.55/7.43 spl94_241 <=> is_a_theorem(necessarily(possibly(sK56)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_241])])). 56.55/7.43 fof(f24721,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_240 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24720])). 56.55/7.43 fof(f24720,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_240 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24338,f2212])). 56.55/7.43 fof(f24338,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_240 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f3478,f24241])). 56.55/7.43 fof(f3478,plain,( 56.55/7.43 ~is_a_theorem(necessarily(possibly(sK14))) | spl94_240), 56.55/7.43 inference(avatar_component_clause,[],[f3476])). 56.55/7.43 fof(f3476,plain,( 56.55/7.43 spl94_240 <=> is_a_theorem(necessarily(possibly(sK14)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_240])])). 56.55/7.43 fof(f24719,plain,( 56.55/7.43 ~spl94_75 | spl94_91 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24718])). 56.55/7.43 fof(f24718,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_91 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24337,f2212])). 56.55/7.43 fof(f24337,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | spl94_91 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f951,f24241])). 56.55/7.43 fof(f951,plain,( 56.55/7.43 ~is_a_theorem(necessarily(possibly(sK5))) | spl94_91), 56.55/7.43 inference(avatar_component_clause,[],[f949])). 56.55/7.43 fof(f949,plain,( 56.55/7.43 spl94_91 <=> is_a_theorem(necessarily(possibly(sK5)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_91])])). 56.55/7.43 fof(f24717,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_239 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24716])). 56.55/7.43 fof(f24716,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_239 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24336,f2212])). 56.55/7.43 fof(f24336,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_239 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f3462,f24241])). 56.55/7.43 fof(f3462,plain,( 56.55/7.43 ~is_a_theorem(necessarily(possibly(sK4))) | spl94_239), 56.55/7.43 inference(avatar_component_clause,[],[f3460])). 56.55/7.43 fof(f3460,plain,( 56.55/7.43 spl94_239 <=> is_a_theorem(necessarily(possibly(sK4)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_239])])). 56.55/7.43 fof(f24715,plain,( 56.55/7.43 ~spl94_75 | spl94_121 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24714])). 56.55/7.43 fof(f24714,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_121 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24335,f2212])). 56.55/7.43 fof(f24335,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | spl94_121 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f1193,f24241])). 56.55/7.43 fof(f1193,plain,( 56.55/7.43 ~is_a_theorem(necessarily(possibly(sK2))) | spl94_121), 56.55/7.43 inference(avatar_component_clause,[],[f1191])). 56.55/7.43 fof(f1191,plain,( 56.55/7.43 spl94_121 <=> is_a_theorem(necessarily(possibly(sK2)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_121])])). 56.55/7.43 fof(f24713,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_233 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24712])). 56.55/7.43 fof(f24712,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_233 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24711,f2212])). 56.55/7.43 fof(f24711,plain,( 56.55/7.43 ( ! [X0] : (~is_a_theorem(possibly(X0))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_233 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24317,f2212])). 56.55/7.43 fof(f24317,plain,( 56.55/7.43 ( ! [X0] : (~is_a_theorem(not(sK80)) | ~is_a_theorem(possibly(X0))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_233 | ~spl94_258 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f3221,f24241])). 56.55/7.43 fof(f3221,plain,( 56.55/7.43 ( ! [X0] : (~is_a_theorem(possibly(X0)) | ~is_a_theorem(not(necessarily(possibly(X0))))) ) | ~spl94_233), 56.55/7.43 inference(forward_demodulation,[],[f3219,f470])). 56.55/7.43 fof(f3219,plain,( 56.55/7.43 ( ! [X0] : (~is_a_theorem(not(necessarily(possibly(X0)))) | ~is_a_theorem(not(necessarily(not(X0))))) ) | ~spl94_233), 56.55/7.43 inference(superposition,[],[f3181,f748])). 56.55/7.43 fof(f24710,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_367 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24709])). 56.55/7.43 fof(f24709,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_367 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24708,f2212])). 56.55/7.43 fof(f24708,plain,( 56.55/7.43 ( ! [X1] : (~is_a_theorem(not(possibly(X1)))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_367 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24253,f2212])). 56.55/7.43 fof(f24253,plain,( 56.55/7.43 ( ! [X1] : (~is_a_theorem(sK80) | ~is_a_theorem(not(possibly(X1)))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_367 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f8707,f24241])). 56.55/7.43 fof(f24707,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_335 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24706])). 56.55/7.43 fof(f24706,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_335 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24705,f2212])). 56.55/7.43 fof(f24705,plain,( 56.55/7.43 ( ! [X7] : (~is_a_theorem(not(X7))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_335 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24251,f2212])). 56.55/7.43 fof(f24251,plain,( 56.55/7.43 ( ! [X7] : (~is_a_theorem(sK80) | ~is_a_theorem(not(X7))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_335 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f6784,f24241])). 56.55/7.43 fof(f24704,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_334 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24703])). 56.55/7.43 fof(f24703,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_334 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24361,f2212])). 56.55/7.43 fof(f24361,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_334 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(condensation,[],[f24250])). 56.55/7.43 fof(f24250,plain,( 56.55/7.43 ( ! [X4] : (~is_a_theorem(not(sK80)) | ~is_a_theorem(X4)) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_314 | ~spl94_334 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f6728,f24241])). 56.55/7.43 fof(f24702,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_457), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24701])). 56.55/7.43 fof(f24701,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_457)), 56.55/7.43 inference(subsumption_resolution,[],[f24383,f2212])). 56.55/7.43 fof(f24383,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_457)), 56.55/7.43 inference(backward_demodulation,[],[f16942,f24362])). 56.55/7.43 fof(f24362,plain,( 56.55/7.43 ( ! [X2] : (not(possibly(X2)) = not(sK80)) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f8475,f24249])). 56.55/7.43 fof(f24249,plain,( 56.55/7.43 ( ! [X2] : (possibly(not(X2)) = not(sK80)) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_313 | ~spl94_314 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f6152,f24241])). 56.55/7.43 fof(f8475,plain,( 56.55/7.43 ( ! [X2] : (not(possibly(X2)) = possibly(not(possibly(X2)))) ) | (~spl94_312 | ~spl94_366)), 56.55/7.43 inference(superposition,[],[f8360,f6141])). 56.55/7.43 fof(f8360,plain,( 56.55/7.43 ( ! [X0] : (necessarily(X0) = possibly(necessarily(X0))) ) | ~spl94_366), 56.55/7.43 inference(avatar_component_clause,[],[f8359])). 56.55/7.43 fof(f8359,plain,( 56.55/7.43 spl94_366 <=> ! [X0] : necessarily(X0) = possibly(necessarily(X0))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_366])])). 56.55/7.43 fof(f16942,plain,( 56.55/7.43 ~is_a_theorem(not(possibly(sK78))) | spl94_457), 56.55/7.43 inference(avatar_component_clause,[],[f16940])). 56.55/7.43 fof(f16940,plain,( 56.55/7.43 spl94_457 <=> is_a_theorem(not(possibly(sK78)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_457])])). 56.55/7.43 fof(f24700,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_291 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24699])). 56.55/7.43 fof(f24699,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_291 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24382,f2212])). 56.55/7.43 fof(f24382,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_291 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f5852,f24362])). 56.55/7.43 fof(f5852,plain,( 56.55/7.43 ~is_a_theorem(not(possibly(sK71))) | spl94_291), 56.55/7.43 inference(avatar_component_clause,[],[f5850])). 56.55/7.43 fof(f5850,plain,( 56.55/7.43 spl94_291 <=> is_a_theorem(not(possibly(sK71)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_291])])). 56.55/7.43 fof(f24698,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_293 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24697])). 56.55/7.43 fof(f24697,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_293 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24381,f2212])). 56.55/7.43 fof(f24381,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_293 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f5861,f24362])). 56.55/7.43 fof(f5861,plain,( 56.55/7.43 ~is_a_theorem(not(possibly(sK30))) | spl94_293), 56.55/7.43 inference(avatar_component_clause,[],[f5859])). 56.55/7.43 fof(f5859,plain,( 56.55/7.43 spl94_293 <=> is_a_theorem(not(possibly(sK30)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_293])])). 56.55/7.43 fof(f24696,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_307 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24695])). 56.55/7.43 fof(f24695,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_307 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24380,f2212])). 56.55/7.43 fof(f24380,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_307 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f5981,f24362])). 56.55/7.43 fof(f5981,plain,( 56.55/7.43 ~is_a_theorem(not(possibly(sK23))) | spl94_307), 56.55/7.43 inference(avatar_component_clause,[],[f5979])). 56.55/7.43 fof(f5979,plain,( 56.55/7.43 spl94_307 <=> is_a_theorem(not(possibly(sK23)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_307])])). 56.55/7.43 fof(f24694,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_311 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24693])). 56.55/7.43 fof(f24693,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_311 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24379,f2212])). 56.55/7.43 fof(f24379,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_311 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f6088,f24362])). 56.55/7.43 fof(f6088,plain,( 56.55/7.43 ~is_a_theorem(not(possibly(sK22))) | spl94_311), 56.55/7.43 inference(avatar_component_clause,[],[f6086])). 56.55/7.43 fof(f6086,plain,( 56.55/7.43 spl94_311 <=> is_a_theorem(not(possibly(sK22)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_311])])). 56.55/7.43 fof(f24692,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_361 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24691])). 56.55/7.43 fof(f24691,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_361 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24378,f2212])). 56.55/7.43 fof(f24378,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_361 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f7649,f24362])). 56.55/7.43 fof(f7649,plain,( 56.55/7.43 ~is_a_theorem(not(possibly(sK16))) | spl94_361), 56.55/7.43 inference(avatar_component_clause,[],[f7647])). 56.55/7.43 fof(f7647,plain,( 56.55/7.43 spl94_361 <=> is_a_theorem(not(possibly(sK16)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_361])])). 56.55/7.43 fof(f24690,plain,( 56.55/7.43 ~spl94_75 | spl94_166 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24689])). 56.55/7.43 fof(f24689,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_166 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24377,f2212])). 56.55/7.43 fof(f24377,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | spl94_166 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f1852,f24362])). 56.55/7.43 fof(f1852,plain,( 56.55/7.43 ~is_a_theorem(not(possibly(sK13))) | spl94_166), 56.55/7.43 inference(avatar_component_clause,[],[f1850])). 56.55/7.43 fof(f1850,plain,( 56.55/7.43 spl94_166 <=> is_a_theorem(not(possibly(sK13)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_166])])). 56.55/7.43 fof(f24688,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_365 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24687])). 56.55/7.43 fof(f24687,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_365 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24376,f2212])). 56.55/7.43 fof(f24376,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_365 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f7932,f24362])). 56.55/7.43 fof(f7932,plain,( 56.55/7.43 ~is_a_theorem(not(possibly(sK10))) | spl94_365), 56.55/7.43 inference(avatar_component_clause,[],[f7930])). 56.55/7.43 fof(f7930,plain,( 56.55/7.43 spl94_365 <=> is_a_theorem(not(possibly(sK10)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_365])])). 56.55/7.43 fof(f24686,plain,( 56.55/7.43 ~spl94_75 | spl94_156 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24685])). 56.55/7.43 fof(f24685,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_156 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24375,f2212])). 56.55/7.43 fof(f24375,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | spl94_156 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f1508,f24362])). 56.55/7.43 fof(f1508,plain,( 56.55/7.43 ~is_a_theorem(not(possibly(sK5))) | spl94_156), 56.55/7.43 inference(avatar_component_clause,[],[f1506])). 56.55/7.43 fof(f1506,plain,( 56.55/7.43 spl94_156 <=> is_a_theorem(not(possibly(sK5)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_156])])). 56.55/7.43 fof(f24684,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_349 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24683])). 56.55/7.43 fof(f24683,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_349 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24374,f2212])). 56.55/7.43 fof(f24374,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_349 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f7532,f24362])). 56.55/7.43 fof(f7532,plain,( 56.55/7.43 ~is_a_theorem(not(possibly(sK4))) | spl94_349), 56.55/7.43 inference(avatar_component_clause,[],[f7530])). 56.55/7.43 fof(f7530,plain,( 56.55/7.43 spl94_349 <=> is_a_theorem(not(possibly(sK4)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_349])])). 56.55/7.43 fof(f24682,plain,( 56.55/7.43 ~spl94_75 | spl94_167 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24681])). 56.55/7.43 fof(f24681,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_167 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24373,f2212])). 56.55/7.43 fof(f24373,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | spl94_167 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f1861,f24362])). 56.55/7.43 fof(f1861,plain,( 56.55/7.43 ~is_a_theorem(not(possibly(sK2))) | spl94_167), 56.55/7.43 inference(avatar_component_clause,[],[f1859])). 56.55/7.43 fof(f1859,plain,( 56.55/7.43 spl94_167 <=> is_a_theorem(not(possibly(sK2)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_167])])). 56.55/7.43 fof(f24680,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_460), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24679])). 56.55/7.43 fof(f24679,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_460)), 56.55/7.43 inference(subsumption_resolution,[],[f24372,f2212])). 56.55/7.43 fof(f24372,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | spl94_460)), 56.55/7.43 inference(backward_demodulation,[],[f17370,f24362])). 56.55/7.43 fof(f17370,plain,( 56.55/7.43 ~is_a_theorem(not(possibly(possibly(sK78)))) | spl94_460), 56.55/7.43 inference(avatar_component_clause,[],[f17368])). 56.55/7.43 fof(f17368,plain,( 56.55/7.43 spl94_460 <=> is_a_theorem(not(possibly(possibly(sK78))))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_460])])). 56.55/7.43 fof(f24678,plain,( 56.55/7.43 ~spl94_75 | spl94_169 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24677])). 56.55/7.43 fof(f24677,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_169 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(subsumption_resolution,[],[f24370,f2212])). 56.55/7.43 fof(f24370,plain,( 56.55/7.43 ~is_a_theorem(not(sK80)) | (~spl94_75 | spl94_169 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.43 inference(backward_demodulation,[],[f2059,f24362])). 56.55/7.43 fof(f2059,plain,( 56.55/7.43 ~is_a_theorem(not(possibly(possibly(sK4)))) | spl94_169), 56.55/7.43 inference(avatar_component_clause,[],[f2057])). 56.55/7.43 fof(f2057,plain,( 56.55/7.43 spl94_169 <=> is_a_theorem(not(possibly(possibly(sK4))))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_169])])). 56.55/7.43 fof(f24676,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_246 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24675])). 56.55/7.43 fof(f24675,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_246 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24464,f2212])). 56.55/7.43 fof(f24464,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_246 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f3629,f24404])). 56.55/7.43 fof(f24404,plain,( 56.55/7.43 ( ! [X2] : (not(X2) = sK80) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24366,f2212])). 56.55/7.43 fof(f24366,plain,( 56.55/7.43 ( ! [X2] : (~is_a_theorem(not(sK80)) | not(X2) = sK80) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f16746,f24362])). 56.55/7.43 fof(f16746,plain,( 56.55/7.43 ( ! [X2] : (~is_a_theorem(not(possibly(X2))) | not(X2) = sK80) ) | (~spl94_312 | ~spl94_449)), 56.55/7.43 inference(superposition,[],[f16740,f6141])). 56.55/7.43 fof(f3629,plain,( 56.55/7.43 ~is_a_theorem(not(sK84)) | spl94_246), 56.55/7.43 inference(avatar_component_clause,[],[f3627])). 56.55/7.43 fof(f3627,plain,( 56.55/7.43 spl94_246 <=> is_a_theorem(not(sK84))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_246])])). 56.55/7.43 fof(f24674,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_341 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24673])). 56.55/7.43 fof(f24673,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_341 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24463,f2212])). 56.55/7.43 fof(f24463,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_341 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f7325,f24404])). 56.55/7.43 fof(f7325,plain,( 56.55/7.43 ~is_a_theorem(not(sK83)) | spl94_341), 56.55/7.43 inference(avatar_component_clause,[],[f7323])). 56.55/7.43 fof(f7323,plain,( 56.55/7.43 spl94_341 <=> is_a_theorem(not(sK83))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_341])])). 56.55/7.43 fof(f24672,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_459), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24671])). 56.55/7.43 fof(f24671,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_459)), 56.55/7.43 inference(subsumption_resolution,[],[f24462,f2212])). 56.55/7.43 fof(f24462,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_459)), 56.55/7.43 inference(backward_demodulation,[],[f17317,f24404])). 56.55/7.43 fof(f17317,plain,( 56.55/7.43 ~is_a_theorem(not(sK78)) | spl94_459), 56.55/7.43 inference(avatar_component_clause,[],[f17315])). 56.55/7.43 fof(f17315,plain,( 56.55/7.43 spl94_459 <=> is_a_theorem(not(sK78))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_459])])). 56.55/7.43 fof(f24670,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_268 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24669])). 56.55/7.43 fof(f24669,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_268 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24461,f2212])). 56.55/7.43 fof(f24461,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_268 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f4835,f24404])). 56.55/7.43 fof(f4835,plain,( 56.55/7.43 ~is_a_theorem(not(sK71)) | spl94_268), 56.55/7.43 inference(avatar_component_clause,[],[f4833])). 56.55/7.43 fof(f4833,plain,( 56.55/7.43 spl94_268 <=> is_a_theorem(not(sK71))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_268])])). 56.55/7.43 fof(f24668,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_267 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24667])). 56.55/7.43 fof(f24667,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_267 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24460,f2212])). 56.55/7.43 fof(f24460,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_267 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f4816,f24404])). 56.55/7.43 fof(f4816,plain,( 56.55/7.43 ~is_a_theorem(not(sK70)) | spl94_267), 56.55/7.43 inference(avatar_component_clause,[],[f4814])). 56.55/7.43 fof(f4814,plain,( 56.55/7.43 spl94_267 <=> is_a_theorem(not(sK70))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_267])])). 56.55/7.43 fof(f24666,plain,( 56.55/7.43 ~spl94_75 | spl94_164 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24665])). 56.55/7.43 fof(f24665,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_164 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24459,f2212])). 56.55/7.43 fof(f24459,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | spl94_164 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f1751,f24404])). 56.55/7.43 fof(f1751,plain,( 56.55/7.43 ~is_a_theorem(not(sK56)) | spl94_164), 56.55/7.43 inference(avatar_component_clause,[],[f1749])). 56.55/7.43 fof(f1749,plain,( 56.55/7.43 spl94_164 <=> is_a_theorem(not(sK56))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_164])])). 56.55/7.43 fof(f24664,plain,( 56.55/7.43 ~spl94_75 | spl94_163 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24663])). 56.55/7.43 fof(f24663,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_163 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24458,f2212])). 56.55/7.43 fof(f24458,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | spl94_163 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f1746,f24404])). 56.55/7.43 fof(f1746,plain,( 56.55/7.43 ~is_a_theorem(not(sK33)) | spl94_163), 56.55/7.43 inference(avatar_component_clause,[],[f1744])). 56.55/7.43 fof(f1744,plain,( 56.55/7.43 spl94_163 <=> is_a_theorem(not(sK33))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_163])])). 56.55/7.43 fof(f24662,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_272 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24661])). 56.55/7.43 fof(f24661,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_272 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24457,f2212])). 56.55/7.43 fof(f24457,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_272 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f4906,f24404])). 56.55/7.43 fof(f4906,plain,( 56.55/7.43 ~is_a_theorem(not(sK32)) | spl94_272), 56.55/7.43 inference(avatar_component_clause,[],[f4904])). 56.55/7.43 fof(f4904,plain,( 56.55/7.43 spl94_272 <=> is_a_theorem(not(sK32))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_272])])). 56.55/7.43 fof(f24660,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_248 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24659])). 56.55/7.43 fof(f24659,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_248 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24456,f2212])). 56.55/7.43 fof(f24456,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_248 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f3763,f24404])). 56.55/7.43 fof(f3763,plain,( 56.55/7.43 ~is_a_theorem(not(sK31)) | spl94_248), 56.55/7.43 inference(avatar_component_clause,[],[f3761])). 56.55/7.43 fof(f3761,plain,( 56.55/7.43 spl94_248 <=> is_a_theorem(not(sK31))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_248])])). 56.55/7.43 fof(f24658,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_322 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24657])). 56.55/7.43 fof(f24657,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_322 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24455,f2212])). 56.55/7.43 fof(f24455,plain,( 56.55/7.43 ~is_a_theorem(strict_implies(sK32,sK80)) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_322 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f6403,f24404])). 56.55/7.43 fof(f6403,plain,( 56.55/7.43 ~is_a_theorem(strict_implies(sK32,not(sK30))) | spl94_322), 56.55/7.43 inference(avatar_component_clause,[],[f6401])). 56.55/7.43 fof(f6401,plain,( 56.55/7.43 spl94_322 <=> is_a_theorem(strict_implies(sK32,not(sK30)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_322])])). 56.55/7.43 fof(f24656,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_273 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24655])). 56.55/7.43 fof(f24655,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_273 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24454,f2212])). 56.55/7.43 fof(f24454,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_273 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f5106,f24404])). 56.55/7.43 fof(f5106,plain,( 56.55/7.43 ~is_a_theorem(not(sK30)) | spl94_273), 56.55/7.43 inference(avatar_component_clause,[],[f5104])). 56.55/7.43 fof(f5104,plain,( 56.55/7.43 spl94_273 <=> is_a_theorem(not(sK30))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_273])])). 56.55/7.43 fof(f24654,plain,( 56.55/7.43 ~spl94_75 | spl94_162 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24653])). 56.55/7.43 fof(f24653,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_162 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24453,f2212])). 56.55/7.43 fof(f24453,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | spl94_162 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f1735,f24404])). 56.55/7.43 fof(f1735,plain,( 56.55/7.43 ~is_a_theorem(not(sK24)) | spl94_162), 56.55/7.43 inference(avatar_component_clause,[],[f1733])). 56.55/7.43 fof(f1733,plain,( 56.55/7.43 spl94_162 <=> is_a_theorem(not(sK24))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_162])])). 56.55/7.43 fof(f24652,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_306 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24651])). 56.55/7.43 fof(f24651,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_306 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24452,f2212])). 56.55/7.43 fof(f24452,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_306 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f5960,f24404])). 56.55/7.43 fof(f5960,plain,( 56.55/7.43 ~is_a_theorem(not(sK23)) | spl94_306), 56.55/7.43 inference(avatar_component_clause,[],[f5958])). 56.55/7.43 fof(f5958,plain,( 56.55/7.43 spl94_306 <=> is_a_theorem(not(sK23))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_306])])). 56.55/7.43 fof(f24650,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_310 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24649])). 56.55/7.43 fof(f24649,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_310 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24451,f2212])). 56.55/7.43 fof(f24451,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_310 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f6038,f24404])). 56.55/7.43 fof(f6038,plain,( 56.55/7.43 ~is_a_theorem(not(sK22)) | spl94_310), 56.55/7.43 inference(avatar_component_clause,[],[f6036])). 56.55/7.43 fof(f6036,plain,( 56.55/7.43 spl94_310 <=> is_a_theorem(not(sK22))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_310])])). 56.55/7.43 fof(f24648,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_309 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24647])). 56.55/7.43 fof(f24647,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_309 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24450,f2212])). 56.55/7.43 fof(f24450,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_309 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f6033,f24404])). 56.55/7.43 fof(f6033,plain,( 56.55/7.43 ~is_a_theorem(not(sK21)) | spl94_309), 56.55/7.43 inference(avatar_component_clause,[],[f6031])). 56.55/7.43 fof(f6031,plain,( 56.55/7.43 spl94_309 <=> is_a_theorem(not(sK21))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_309])])). 56.55/7.43 fof(f24646,plain,( 56.55/7.43 ~spl94_75 | spl94_175 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24645])). 56.55/7.43 fof(f24645,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_175 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24449,f2212])). 56.55/7.43 fof(f24449,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | spl94_175 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f2172,f24404])). 56.55/7.43 fof(f2172,plain,( 56.55/7.43 ~is_a_theorem(not(sK18)) | spl94_175), 56.55/7.43 inference(avatar_component_clause,[],[f2170])). 56.55/7.43 fof(f2170,plain,( 56.55/7.43 spl94_175 <=> is_a_theorem(not(sK18))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_175])])). 56.55/7.43 fof(f24644,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_264 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24643])). 56.55/7.43 fof(f24643,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_264 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24448,f2212])). 56.55/7.43 fof(f24448,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_264 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f4486,f24404])). 56.55/7.43 fof(f4486,plain,( 56.55/7.43 ~is_a_theorem(not(sK17)) | spl94_264), 56.55/7.43 inference(avatar_component_clause,[],[f4484])). 56.55/7.43 fof(f4484,plain,( 56.55/7.43 spl94_264 <=> is_a_theorem(not(sK17))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_264])])). 56.55/7.43 fof(f24642,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_358 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24641])). 56.55/7.43 fof(f24641,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_358 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24447,f2212])). 56.55/7.43 fof(f24447,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_358 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f7636,f24404])). 56.55/7.43 fof(f7636,plain,( 56.55/7.43 ~is_a_theorem(not(sK16)) | spl94_358), 56.55/7.43 inference(avatar_component_clause,[],[f7634])). 56.55/7.43 fof(f7634,plain,( 56.55/7.43 spl94_358 <=> is_a_theorem(not(sK16))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_358])])). 56.55/7.43 fof(f24640,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_356 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24639])). 56.55/7.43 fof(f24639,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_356 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24446,f2212])). 56.55/7.43 fof(f24446,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_356 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f7627,f24404])). 56.55/7.43 fof(f7627,plain,( 56.55/7.43 ~is_a_theorem(not(sK15)) | spl94_356), 56.55/7.43 inference(avatar_component_clause,[],[f7625])). 56.55/7.43 fof(f7625,plain,( 56.55/7.43 spl94_356 <=> is_a_theorem(not(sK15))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_356])])). 56.55/7.43 fof(f24638,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_348 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24637])). 56.55/7.43 fof(f24637,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_348 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24445,f2212])). 56.55/7.43 fof(f24445,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_348 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f7416,f24404])). 56.55/7.43 fof(f7416,plain,( 56.55/7.43 ~is_a_theorem(not(sK13)) | spl94_348), 56.55/7.43 inference(avatar_component_clause,[],[f7414])). 56.55/7.43 fof(f7414,plain,( 56.55/7.43 spl94_348 <=> is_a_theorem(not(sK13))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_348])])). 56.55/7.43 fof(f24636,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_364 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24635])). 56.55/7.43 fof(f24635,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_364 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24444,f2212])). 56.55/7.43 fof(f24444,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_364 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f7770,f24404])). 56.55/7.43 fof(f7770,plain,( 56.55/7.43 ~is_a_theorem(not(sK10)) | spl94_364), 56.55/7.43 inference(avatar_component_clause,[],[f7768])). 56.55/7.43 fof(f7768,plain,( 56.55/7.43 spl94_364 <=> is_a_theorem(not(sK10))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_364])])). 56.55/7.43 fof(f24634,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_363 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24633])). 56.55/7.43 fof(f24633,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_363 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24443,f2212])). 56.55/7.43 fof(f24443,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_363 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f7765,f24404])). 56.55/7.43 fof(f7765,plain,( 56.55/7.43 ~is_a_theorem(not(sK9)) | spl94_363), 56.55/7.43 inference(avatar_component_clause,[],[f7763])). 56.55/7.43 fof(f7763,plain,( 56.55/7.43 spl94_363 <=> is_a_theorem(not(sK9))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_363])])). 56.55/7.43 fof(f24632,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_195 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24631])). 56.55/7.43 fof(f24631,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_195 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24442,f2212])). 56.55/7.43 fof(f24442,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_195 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f2409,f24404])). 56.55/7.43 fof(f2409,plain,( 56.55/7.43 ~is_a_theorem(not(sK6)) | spl94_195), 56.55/7.43 inference(avatar_component_clause,[],[f2407])). 56.55/7.43 fof(f2407,plain,( 56.55/7.43 spl94_195 <=> is_a_theorem(not(sK6))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_195])])). 56.55/7.43 fof(f24630,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_213 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24629])). 56.55/7.43 fof(f24629,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_213 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24441,f2212])). 56.55/7.43 fof(f24441,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_213 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f2781,f24404])). 56.55/7.43 fof(f2781,plain,( 56.55/7.43 ~is_a_theorem(not(sK5)) | spl94_213), 56.55/7.43 inference(avatar_component_clause,[],[f2779])). 56.55/7.43 fof(f2779,plain,( 56.55/7.43 spl94_213 <=> is_a_theorem(not(sK5))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_213])])). 56.55/7.43 fof(f24628,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_350 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24627])). 56.55/7.43 fof(f24627,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_350 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24440,f2212])). 56.55/7.43 fof(f24440,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_350 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f7596,f24404])). 56.55/7.43 fof(f7596,plain,( 56.55/7.43 ~is_a_theorem(not(sK4)) | spl94_350), 56.55/7.43 inference(avatar_component_clause,[],[f7594])). 56.55/7.43 fof(f7594,plain,( 56.55/7.43 spl94_350 <=> is_a_theorem(not(sK4))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_350])])). 56.55/7.43 fof(f24626,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_347 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24625])). 56.55/7.43 fof(f24625,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_347 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24439,f2212])). 56.55/7.43 fof(f24439,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | spl94_347 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f7411,f24404])). 56.55/7.43 fof(f7411,plain,( 56.55/7.43 ~is_a_theorem(not(sK2)) | spl94_347), 56.55/7.43 inference(avatar_component_clause,[],[f7409])). 56.55/7.43 fof(f7409,plain,( 56.55/7.43 spl94_347 <=> is_a_theorem(not(sK2))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_347])])). 56.55/7.43 fof(f24624,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_194 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24623])). 56.55/7.43 fof(f24623,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_194 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24438,f2212])). 56.55/7.43 fof(f24438,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_194 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f2402,f24404])). 56.55/7.43 fof(f2402,plain,( 56.55/7.43 ~is_a_theorem(not(sK1)) | spl94_194), 56.55/7.43 inference(avatar_component_clause,[],[f2400])). 56.55/7.43 fof(f2400,plain,( 56.55/7.43 spl94_194 <=> is_a_theorem(not(sK1))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_194])])). 56.55/7.43 fof(f24622,plain,( 56.55/7.43 ~spl94_75 | spl94_171 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24621])). 56.55/7.43 fof(f24621,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_171 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24437,f2212])). 56.55/7.43 fof(f24437,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | spl94_171 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f2132,f24404])). 56.55/7.43 fof(f2132,plain,( 56.55/7.43 ~is_a_theorem(not(strict_implies(sK78,sK79))) | spl94_171), 56.55/7.43 inference(avatar_component_clause,[],[f2130])). 56.55/7.43 fof(f2130,plain,( 56.55/7.43 spl94_171 <=> is_a_theorem(not(strict_implies(sK78,sK79)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_171])])). 56.55/7.43 fof(f24620,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_501), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24619])). 56.55/7.43 fof(f24619,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_501)), 56.55/7.43 inference(subsumption_resolution,[],[f24436,f2212])). 56.55/7.43 fof(f24436,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_501)), 56.55/7.43 inference(backward_demodulation,[],[f20892,f24404])). 56.55/7.43 fof(f20892,plain,( 56.55/7.43 ~is_a_theorem(not(strict_implies(sK34,sK35))) | spl94_501), 56.55/7.43 inference(avatar_component_clause,[],[f20890])). 56.55/7.43 fof(f20890,plain,( 56.55/7.43 spl94_501 <=> is_a_theorem(not(strict_implies(sK34,sK35)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_501])])). 56.55/7.43 fof(f24618,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_500), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24617])). 56.55/7.43 fof(f24617,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_500)), 56.55/7.43 inference(subsumption_resolution,[],[f24435,f2212])). 56.55/7.43 fof(f24435,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_500)), 56.55/7.43 inference(backward_demodulation,[],[f20838,f24404])). 56.55/7.43 fof(f20838,plain,( 56.55/7.43 ~is_a_theorem(not(strict_implies(sK33,sK34))) | spl94_500), 56.55/7.43 inference(avatar_component_clause,[],[f20836])). 56.55/7.43 fof(f20836,plain,( 56.55/7.43 spl94_500 <=> is_a_theorem(not(strict_implies(sK33,sK34)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_500])])). 56.55/7.43 fof(f24616,plain,( 56.55/7.43 ~spl94_75 | spl94_170 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24615])). 56.55/7.43 fof(f24615,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_170 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24434,f2212])). 56.55/7.43 fof(f24434,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | spl94_170 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f2078,f24404])). 56.55/7.43 fof(f2078,plain,( 56.55/7.43 ~is_a_theorem(not(strict_implies(sK13,sK14))) | spl94_170), 56.55/7.43 inference(avatar_component_clause,[],[f2076])). 56.55/7.43 fof(f2076,plain,( 56.55/7.43 spl94_170 <=> is_a_theorem(not(strict_implies(sK13,sK14)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_170])])). 56.55/7.43 fof(f24614,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_233 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24613])). 56.55/7.43 fof(f24613,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_233 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24612,f2212])). 56.55/7.43 fof(f24612,plain,( 56.55/7.43 ( ! [X2,X1] : (~is_a_theorem(implies(X1,X2))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_233 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24433,f2212])). 56.55/7.43 fof(f24433,plain,( 56.55/7.43 ( ! [X2,X1] : (~is_a_theorem(sK80) | ~is_a_theorem(implies(X1,X2))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_233 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f3222,f24404])). 56.55/7.43 fof(f3222,plain,( 56.55/7.43 ( ! [X2,X1] : (~is_a_theorem(implies(X1,X2)) | ~is_a_theorem(not(strict_implies(X1,X2)))) ) | ~spl94_233), 56.55/7.43 inference(forward_demodulation,[],[f3220,f468])). 56.55/7.43 fof(f3220,plain,( 56.55/7.43 ( ! [X2,X1] : (~is_a_theorem(not(strict_implies(X1,X2))) | ~is_a_theorem(not(and(X1,not(X2))))) ) | ~spl94_233), 56.55/7.43 inference(superposition,[],[f3181,f956])). 56.55/7.43 fof(f24611,plain,( 56.55/7.43 ~spl94_75 | ~spl94_83 | spl94_165 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | ~spl94_453), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24610])). 56.55/7.43 fof(f24610,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_83 | spl94_165 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | ~spl94_453)), 56.55/7.43 inference(subsumption_resolution,[],[f24465,f2212])). 56.55/7.43 fof(f24465,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_83 | spl94_165 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | ~spl94_453)), 56.55/7.43 inference(condensation,[],[f24421])). 56.55/7.43 fof(f24421,plain,( 56.55/7.43 ( ! [X3] : (~is_a_theorem(sK80) | ~is_a_theorem(X3)) ) | (~spl94_75 | ~spl94_83 | spl94_165 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | ~spl94_453)), 56.55/7.43 inference(backward_demodulation,[],[f22985,f24404])). 56.55/7.43 fof(f24609,plain,( 56.55/7.43 spl94_54 | ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_429 | ~spl94_444 | ~spl94_449 | ~spl94_499), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24608])). 56.55/7.43 fof(f24608,plain,( 56.55/7.43 $false | (spl94_54 | ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_429 | ~spl94_444 | ~spl94_449 | ~spl94_499)), 56.55/7.43 inference(subsumption_resolution,[],[f24604,f2212])). 56.55/7.43 fof(f24604,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (spl94_54 | ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_429 | ~spl94_444 | ~spl94_449 | ~spl94_499)), 56.55/7.43 inference(backward_demodulation,[],[f764,f24601])). 56.55/7.43 fof(f24601,plain,( 56.55/7.43 ( ! [X0,X1] : (equiv(X0,X1) = sK80) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_429 | ~spl94_444 | ~spl94_449 | ~spl94_499)), 56.55/7.43 inference(forward_demodulation,[],[f24600,f24404])). 56.55/7.43 fof(f24600,plain,( 56.55/7.43 ( ! [X0,X1] : (not(X0) = equiv(X0,X1)) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_429 | ~spl94_444 | ~spl94_449 | ~spl94_499)), 56.55/7.43 inference(forward_demodulation,[],[f24411,f13826])). 56.55/7.43 fof(f24411,plain,( 56.55/7.43 ( ! [X0,X1] : (equiv(X0,X1) = equiv(sK80,not(X0))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | ~spl94_499)), 56.55/7.43 inference(backward_demodulation,[],[f20689,f24404])). 56.55/7.43 fof(f20689,plain,( 56.55/7.43 ( ! [X0,X1] : (equiv(X0,X1) = equiv(not(X1),not(X0))) ) | ~spl94_499), 56.55/7.43 inference(avatar_component_clause,[],[f20688])). 56.55/7.43 fof(f20688,plain,( 56.55/7.43 spl94_499 <=> ! [X0,X1] : equiv(X0,X1) = equiv(not(X1),not(X0))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_499])])). 56.55/7.43 fof(f764,plain,( 56.55/7.43 ~is_a_theorem(equiv(sK18,sK17)) | spl94_54), 56.55/7.43 inference(avatar_component_clause,[],[f762])). 56.55/7.43 fof(f762,plain,( 56.55/7.43 spl94_54 <=> is_a_theorem(equiv(sK18,sK17))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_54])])). 56.55/7.43 fof(f24607,plain,( 56.55/7.43 spl94_53 | ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_429 | ~spl94_444 | ~spl94_449 | ~spl94_499), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24606])). 56.55/7.43 fof(f24606,plain,( 56.55/7.43 $false | (spl94_53 | ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_429 | ~spl94_444 | ~spl94_449 | ~spl94_499)), 56.55/7.43 inference(subsumption_resolution,[],[f24603,f2212])). 56.55/7.43 fof(f24603,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (spl94_53 | ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_429 | ~spl94_444 | ~spl94_449 | ~spl94_499)), 56.55/7.43 inference(backward_demodulation,[],[f759,f24601])). 56.55/7.43 fof(f759,plain,( 56.55/7.43 ~is_a_theorem(equiv(sK17,sK18)) | spl94_53), 56.55/7.43 inference(avatar_component_clause,[],[f757])). 56.55/7.43 fof(f757,plain,( 56.55/7.43 spl94_53 <=> is_a_theorem(equiv(sK17,sK18))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_53])])). 56.55/7.43 fof(f24599,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_505), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24598])). 56.55/7.43 fof(f24598,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_505)), 56.55/7.43 inference(subsumption_resolution,[],[f24514,f2212])). 56.55/7.43 fof(f24514,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_505)), 56.55/7.43 inference(backward_demodulation,[],[f22656,f24469])). 56.55/7.43 fof(f24469,plain,( 56.55/7.43 ( ! [X6,X5] : (sK80 = implies(X5,X6)) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24408,f2212])). 56.55/7.43 fof(f24408,plain,( 56.55/7.43 ( ! [X6,X5] : (~is_a_theorem(sK80) | sK80 = implies(X5,X6)) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f11675,f24404])). 56.55/7.43 fof(f11675,plain,( 56.55/7.43 ( ! [X6,X5] : (sK80 = implies(X5,X6) | ~is_a_theorem(not(X5))) ) | ~spl94_403), 56.55/7.43 inference(resolution,[],[f11594,f1479])). 56.55/7.43 fof(f22656,plain,( 56.55/7.43 ~is_a_theorem(implies(sK83,sK82)) | spl94_505), 56.55/7.43 inference(avatar_component_clause,[],[f22654])). 56.55/7.43 fof(f22654,plain,( 56.55/7.43 spl94_505 <=> is_a_theorem(implies(sK83,sK82))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_505])])). 56.55/7.43 fof(f24597,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_504), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24596])). 56.55/7.43 fof(f24596,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_504)), 56.55/7.43 inference(subsumption_resolution,[],[f24513,f2212])). 56.55/7.43 fof(f24513,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_504)), 56.55/7.43 inference(backward_demodulation,[],[f22593,f24469])). 56.55/7.43 fof(f22593,plain,( 56.55/7.43 ~is_a_theorem(implies(sK83,sK84)) | spl94_504), 56.55/7.43 inference(avatar_component_clause,[],[f22591])). 56.55/7.43 fof(f22591,plain,( 56.55/7.43 spl94_504 <=> is_a_theorem(implies(sK83,sK84))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_504])])). 56.55/7.43 fof(f24595,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_262 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24594])). 56.55/7.43 fof(f24594,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_262 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24512,f2212])). 56.55/7.43 fof(f24512,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_262 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f4319,f24469])). 56.55/7.43 fof(f4319,plain,( 56.55/7.43 ~is_a_theorem(implies(sK18,sK17)) | spl94_262), 56.55/7.43 inference(avatar_component_clause,[],[f4318])). 56.55/7.43 fof(f4318,plain,( 56.55/7.43 spl94_262 <=> is_a_theorem(implies(sK18,sK17))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_262])])). 56.55/7.43 fof(f24593,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_263 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24592])). 56.55/7.43 fof(f24592,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_263 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24511,f2212])). 56.55/7.43 fof(f24511,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_263 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f4329,f24469])). 56.55/7.43 fof(f4329,plain,( 56.55/7.43 ~is_a_theorem(implies(sK17,sK18)) | spl94_263), 56.55/7.43 inference(avatar_component_clause,[],[f4328])). 56.55/7.43 fof(f4328,plain,( 56.55/7.43 spl94_263 <=> is_a_theorem(implies(sK17,sK18))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_263])])). 56.55/7.43 fof(f24591,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_465), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24590])). 56.55/7.43 fof(f24590,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_465)), 56.55/7.43 inference(subsumption_resolution,[],[f24506,f2212])). 56.55/7.43 fof(f24506,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449 | spl94_465)), 56.55/7.43 inference(backward_demodulation,[],[f19746,f24469])). 56.55/7.43 fof(f19746,plain,( 56.55/7.43 ~is_a_theorem(implies(possibly(sK78),possibly(sK79))) | spl94_465), 56.55/7.43 inference(avatar_component_clause,[],[f19744])). 56.55/7.43 fof(f19744,plain,( 56.55/7.43 spl94_465 <=> is_a_theorem(implies(possibly(sK78),possibly(sK79)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_465])])). 56.55/7.43 fof(f24583,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449 | spl94_454), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24582])). 56.55/7.43 fof(f24582,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449 | spl94_454)), 56.55/7.43 inference(subsumption_resolution,[],[f24545,f2212])). 56.55/7.43 fof(f24545,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449 | spl94_454)), 56.55/7.43 inference(backward_demodulation,[],[f16816,f24528])). 56.55/7.43 fof(f24528,plain,( 56.55/7.43 ( ! [X15] : (sK80 = possibly(X15)) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(forward_demodulation,[],[f24527,f10518])). 56.55/7.43 fof(f24527,plain,( 56.55/7.43 ( ! [X15] : (sK80 = possibly(implies(sK80,X15))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24481,f2212])). 56.55/7.43 fof(f24481,plain,( 56.55/7.43 ( ! [X14,X15] : (sK80 = possibly(implies(sK80,X15)) | ~is_a_theorem(X14)) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f16570,f24469])). 56.55/7.43 fof(f16570,plain,( 56.55/7.43 ( ! [X14,X15] : (~is_a_theorem(X14) | sK80 = possibly(implies(implies(X14,X15),X15))) ) | ~spl94_437), 56.55/7.43 inference(resolution,[],[f3912,f14136])). 56.55/7.43 fof(f14136,plain,( 56.55/7.43 ( ! [X205] : (~is_a_theorem(X205) | sK80 = possibly(X205)) ) | ~spl94_437), 56.55/7.43 inference(avatar_component_clause,[],[f14135])). 56.55/7.43 fof(f14135,plain,( 56.55/7.43 spl94_437 <=> ! [X205] : (sK80 = possibly(X205) | ~is_a_theorem(X205))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_437])])). 56.55/7.43 fof(f3912,plain,( 56.55/7.43 ( ! [X6,X7] : (is_a_theorem(implies(implies(X6,X7),X7)) | ~is_a_theorem(X6)) )), 56.55/7.43 inference(resolution,[],[f1737,f871])). 56.55/7.43 fof(f1737,plain,( 56.55/7.43 ( ! [X0,X1] : (~is_a_theorem(implies(implies(X0,X1),X0)) | is_a_theorem(implies(implies(X0,X1),X1))) )), 56.55/7.43 inference(resolution,[],[f1151,f1011])). 56.55/7.43 fof(f1011,plain,( 56.55/7.43 ( ! [X0,X1] : (~is_a_theorem(implies(X0,implies(X0,X1))) | is_a_theorem(implies(X0,X1))) )), 56.55/7.43 inference(resolution,[],[f497,f489])). 56.55/7.43 fof(f16816,plain,( 56.55/7.43 ~is_a_theorem(possibly(sK79)) | spl94_454), 56.55/7.43 inference(avatar_component_clause,[],[f16814])). 56.55/7.43 fof(f16814,plain,( 56.55/7.43 spl94_454 <=> is_a_theorem(possibly(sK79))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_454])])). 56.55/7.43 fof(f24581,plain,( 56.55/7.43 ~spl94_75 | spl94_111 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24580])). 56.55/7.43 fof(f24580,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_111 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24544,f2212])). 56.55/7.43 fof(f24544,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | spl94_111 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f1140,f24528])). 56.55/7.43 fof(f1140,plain,( 56.55/7.43 ~is_a_theorem(possibly(sK56)) | spl94_111), 56.55/7.43 inference(avatar_component_clause,[],[f1138])). 56.55/7.43 fof(f1138,plain,( 56.55/7.43 spl94_111 <=> is_a_theorem(possibly(sK56))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_111])])). 56.55/7.43 fof(f24579,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_205 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24578])). 56.55/7.43 fof(f24578,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_205 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24543,f2212])). 56.55/7.43 fof(f24543,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_205 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f2584,f24528])). 56.55/7.43 fof(f2584,plain,( 56.55/7.43 ~is_a_theorem(possibly(sK16)) | spl94_205), 56.55/7.43 inference(avatar_component_clause,[],[f2582])). 56.55/7.43 fof(f2582,plain,( 56.55/7.43 spl94_205 <=> is_a_theorem(possibly(sK16))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_205])])). 56.55/7.43 fof(f24577,plain,( 56.55/7.43 ~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_206 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24576])). 56.55/7.43 fof(f24576,plain,( 56.55/7.43 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_206 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24542,f2212])). 56.55/7.43 fof(f24542,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | spl94_206 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f2588,f24528])). 56.55/7.43 fof(f2588,plain,( 56.55/7.43 ~is_a_theorem(possibly(sK15)) | spl94_206), 56.55/7.43 inference(avatar_component_clause,[],[f2586])). 56.55/7.43 fof(f2586,plain,( 56.55/7.43 spl94_206 <=> is_a_theorem(possibly(sK15))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_206])])). 56.55/7.43 fof(f24575,plain,( 56.55/7.43 ~spl94_75 | spl94_153 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24574])). 56.55/7.43 fof(f24574,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_153 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24541,f2212])). 56.55/7.43 fof(f24541,plain,( 56.55/7.43 ~is_a_theorem(sK80) | (~spl94_75 | spl94_153 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f1425,f24528])). 56.55/7.43 fof(f1425,plain,( 56.55/7.43 ~is_a_theorem(possibly(sK14)) | spl94_153), 56.55/7.43 inference(avatar_component_clause,[],[f1423])). 56.55/7.43 fof(f1423,plain,( 56.55/7.43 spl94_153 <=> is_a_theorem(possibly(sK14))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_153])])). 56.55/7.43 fof(f24573,plain,( 56.55/7.43 ~spl94_75 | spl94_104 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24572])). 56.55/7.43 fof(f24572,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_104 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24540,f2212])). 56.55/7.43 fof(f24540,plain,( 56.55/7.43 ~is_a_theorem(strict_implies(strict_implies(sK13,sK14),strict_implies(sK80,possibly(sK14)))) | (~spl94_75 | spl94_104 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f1058,f24528])). 56.55/7.43 fof(f1058,plain,( 56.55/7.43 ~is_a_theorem(strict_implies(strict_implies(sK13,sK14),strict_implies(possibly(sK13),possibly(sK14)))) | spl94_104), 56.55/7.43 inference(avatar_component_clause,[],[f1056])). 56.55/7.43 fof(f1056,plain,( 56.55/7.43 spl94_104 <=> is_a_theorem(strict_implies(strict_implies(sK13,sK14),strict_implies(possibly(sK13),possibly(sK14))))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_104])])). 56.55/7.43 fof(f24571,plain,( 56.55/7.43 ~spl94_75 | spl94_149 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.43 inference(avatar_contradiction_clause,[],[f24570])). 56.55/7.43 fof(f24570,plain,( 56.55/7.43 $false | (~spl94_75 | spl94_149 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(subsumption_resolution,[],[f24539,f2212])). 56.55/7.43 fof(f24539,plain,( 56.55/7.43 ~is_a_theorem(strict_implies(sK80,possibly(sK14))) | (~spl94_75 | spl94_149 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.43 inference(backward_demodulation,[],[f1403,f24528])). 56.55/7.43 fof(f1403,plain,( 56.55/7.43 ~is_a_theorem(strict_implies(possibly(sK13),possibly(sK14))) | spl94_149), 56.55/7.43 inference(avatar_component_clause,[],[f1401])). 56.55/7.43 fof(f1401,plain,( 56.55/7.43 spl94_149 <=> is_a_theorem(strict_implies(possibly(sK13),possibly(sK14)))), 56.55/7.43 introduced(avatar_definition,[new_symbols(naming,[spl94_149])])). 56.55/7.43 fof(f24569,plain,( 56.55/7.43 ~spl94_75 | spl94_99 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.44 inference(avatar_contradiction_clause,[],[f24568])). 56.55/7.44 fof(f24568,plain,( 56.55/7.44 $false | (~spl94_75 | spl94_99 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(subsumption_resolution,[],[f24538,f2212])). 56.55/7.44 fof(f24538,plain,( 56.55/7.44 ~is_a_theorem(sK80) | (~spl94_75 | spl94_99 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(backward_demodulation,[],[f1033,f24528])). 56.55/7.44 fof(f1033,plain,( 56.55/7.44 ~is_a_theorem(possibly(sK5)) | spl94_99), 56.55/7.44 inference(avatar_component_clause,[],[f1031])). 56.55/7.44 fof(f1031,plain,( 56.55/7.44 spl94_99 <=> is_a_theorem(possibly(sK5))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_99])])). 56.55/7.44 fof(f24567,plain,( 56.55/7.44 ~spl94_75 | spl94_110 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.44 inference(avatar_contradiction_clause,[],[f24566])). 56.55/7.44 fof(f24566,plain,( 56.55/7.44 $false | (~spl94_75 | spl94_110 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(subsumption_resolution,[],[f24537,f2212])). 56.55/7.44 fof(f24537,plain,( 56.55/7.44 ~is_a_theorem(sK80) | (~spl94_75 | spl94_110 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(backward_demodulation,[],[f1134,f24528])). 56.55/7.44 fof(f1134,plain,( 56.55/7.44 ~is_a_theorem(possibly(sK4)) | spl94_110), 56.55/7.44 inference(avatar_component_clause,[],[f1132])). 56.55/7.44 fof(f1132,plain,( 56.55/7.44 spl94_110 <=> is_a_theorem(possibly(sK4))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_110])])). 56.55/7.44 fof(f24565,plain,( 56.55/7.44 ~spl94_75 | spl94_126 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.44 inference(avatar_contradiction_clause,[],[f24564])). 56.55/7.44 fof(f24564,plain,( 56.55/7.44 $false | (~spl94_75 | spl94_126 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(subsumption_resolution,[],[f24536,f2212])). 56.55/7.44 fof(f24536,plain,( 56.55/7.44 ~is_a_theorem(sK80) | (~spl94_75 | spl94_126 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(backward_demodulation,[],[f1219,f24528])). 56.55/7.44 fof(f1219,plain,( 56.55/7.44 ~is_a_theorem(possibly(sK2)) | spl94_126), 56.55/7.44 inference(avatar_component_clause,[],[f1217])). 56.55/7.44 fof(f1217,plain,( 56.55/7.44 spl94_126 <=> is_a_theorem(possibly(sK2))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_126])])). 56.55/7.44 fof(f24563,plain,( 56.55/7.44 ~spl94_75 | spl94_137 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.44 inference(avatar_contradiction_clause,[],[f24562])). 56.55/7.44 fof(f24562,plain,( 56.55/7.44 $false | (~spl94_75 | spl94_137 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(subsumption_resolution,[],[f24555,f2212])). 56.55/7.44 fof(f24555,plain,( 56.55/7.44 ~is_a_theorem(sK80) | (~spl94_75 | spl94_137 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(backward_demodulation,[],[f1284,f24535])). 56.55/7.44 fof(f24535,plain,( 56.55/7.44 ( ! [X0,X1] : (strict_implies(X0,X1) = sK80) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(backward_demodulation,[],[f8474,f24528])). 56.55/7.44 fof(f8474,plain,( 56.55/7.44 ( ! [X0,X1] : (strict_implies(X0,X1) = possibly(strict_implies(X0,X1))) ) | ~spl94_366), 56.55/7.44 inference(superposition,[],[f8360,f467])). 56.55/7.44 fof(f1284,plain,( 56.55/7.44 ~is_a_theorem(strict_implies(sK33,sK35)) | spl94_137), 56.55/7.44 inference(avatar_component_clause,[],[f1282])). 56.55/7.44 fof(f1282,plain,( 56.55/7.44 spl94_137 <=> is_a_theorem(strict_implies(sK33,sK35))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_137])])). 56.55/7.44 fof(f24561,plain,( 56.55/7.44 ~spl94_75 | spl94_129 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.44 inference(avatar_contradiction_clause,[],[f24560])). 56.55/7.44 fof(f24560,plain,( 56.55/7.44 $false | (~spl94_75 | spl94_129 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(subsumption_resolution,[],[f24554,f2212])). 56.55/7.44 fof(f24554,plain,( 56.55/7.44 ~is_a_theorem(sK80) | (~spl94_75 | spl94_129 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(backward_demodulation,[],[f1235,f24535])). 56.55/7.44 fof(f1235,plain,( 56.55/7.44 ~is_a_theorem(strict_implies(sK24,sK26)) | spl94_129), 56.55/7.44 inference(avatar_component_clause,[],[f1233])). 56.55/7.44 fof(f1233,plain,( 56.55/7.44 spl94_129 <=> is_a_theorem(strict_implies(sK24,sK26))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_129])])). 56.55/7.44 fof(f24559,plain,( 56.55/7.44 ~spl94_75 | spl94_172 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.44 inference(avatar_contradiction_clause,[],[f24558])). 56.55/7.44 fof(f24558,plain,( 56.55/7.44 $false | (~spl94_75 | spl94_172 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(subsumption_resolution,[],[f24553,f2212])). 56.55/7.44 fof(f24553,plain,( 56.55/7.44 ~is_a_theorem(sK80) | (~spl94_75 | spl94_172 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(backward_demodulation,[],[f2152,f24535])). 56.55/7.44 fof(f2152,plain,( 56.55/7.44 ~is_a_theorem(strict_implies(sK18,sK17)) | spl94_172), 56.55/7.44 inference(avatar_component_clause,[],[f2151])). 56.55/7.44 fof(f2151,plain,( 56.55/7.44 spl94_172 <=> is_a_theorem(strict_implies(sK18,sK17))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_172])])). 56.55/7.44 fof(f24557,plain,( 56.55/7.44 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_261 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.44 inference(avatar_contradiction_clause,[],[f24556])). 56.55/7.44 fof(f24556,plain,( 56.55/7.44 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_261 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(subsumption_resolution,[],[f24552,f2212])). 56.55/7.44 fof(f24552,plain,( 56.55/7.44 ~is_a_theorem(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | spl94_261 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(backward_demodulation,[],[f4299,f24535])). 56.55/7.44 fof(f4299,plain,( 56.55/7.44 ~is_a_theorem(strict_implies(sK17,sK18)) | spl94_261), 56.55/7.44 inference(avatar_component_clause,[],[f4298])). 56.55/7.44 fof(f4298,plain,( 56.55/7.44 spl94_261 <=> is_a_theorem(strict_implies(sK17,sK18))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_261])])). 56.55/7.44 fof(f24551,plain,( 56.55/7.44 spl94_65 | ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449), 56.55/7.44 inference(avatar_contradiction_clause,[],[f24550])). 56.55/7.44 fof(f24550,plain,( 56.55/7.44 $false | (spl94_65 | ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(subsumption_resolution,[],[f24534,f2212])). 56.55/7.44 fof(f24534,plain,( 56.55/7.44 ~is_a_theorem(strict_implies(sK80,possibly(sK4))) | (spl94_65 | ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_397 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_437 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(backward_demodulation,[],[f811,f24528])). 56.55/7.44 fof(f811,plain,( 56.55/7.44 ~is_a_theorem(strict_implies(possibly(possibly(sK4)),possibly(sK4))) | spl94_65), 56.55/7.44 inference(avatar_component_clause,[],[f809])). 56.55/7.44 fof(f809,plain,( 56.55/7.44 spl94_65 <=> is_a_theorem(strict_implies(possibly(possibly(sK4)),possibly(sK4)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_65])])). 56.55/7.44 fof(f24468,plain,( 56.55/7.44 ~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_233 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449), 56.55/7.44 inference(avatar_contradiction_clause,[],[f24467])). 56.55/7.44 fof(f24467,plain,( 56.55/7.44 $false | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_233 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(subsumption_resolution,[],[f24466,f2212])). 56.55/7.44 fof(f24466,plain,( 56.55/7.44 ( ! [X1] : (~is_a_theorem(possibly(X1))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_233 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(subsumption_resolution,[],[f24405,f2212])). 56.55/7.44 fof(f24405,plain,( 56.55/7.44 ( ! [X1] : (~is_a_theorem(sK80) | ~is_a_theorem(possibly(X1))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_233 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_366 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444 | ~spl94_449)), 56.55/7.44 inference(backward_demodulation,[],[f3181,f24404])). 56.55/7.44 fof(f24401,plain,( 56.55/7.44 ~spl94_75 | spl94_165 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_336 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444), 56.55/7.44 inference(avatar_contradiction_clause,[],[f24400])). 56.55/7.44 fof(f24400,plain,( 56.55/7.44 $false | (~spl94_75 | spl94_165 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_336 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.44 inference(subsumption_resolution,[],[f24386,f2212])). 56.55/7.44 fof(f24386,plain,( 56.55/7.44 ~is_a_theorem(sK80) | (~spl94_75 | spl94_165 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_336 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.44 inference(backward_demodulation,[],[f1780,f24385])). 56.55/7.44 fof(f24385,plain,( 56.55/7.44 sK80 = not(sK80) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_336 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.44 inference(subsumption_resolution,[],[f24365,f2212])). 56.55/7.44 fof(f24365,plain,( 56.55/7.44 ( ! [X149] : (sK80 = not(sK80) | ~is_a_theorem(not(X149))) ) | (~spl94_75 | ~spl94_180 | ~spl94_191 | ~spl94_258 | ~spl94_312 | ~spl94_313 | ~spl94_314 | ~spl94_336 | ~spl94_366 | ~spl94_403 | ~spl94_405 | ~spl94_414 | ~spl94_427 | ~spl94_444)), 56.55/7.44 inference(backward_demodulation,[],[f11735,f24362])). 56.55/7.44 fof(f11735,plain,( 56.55/7.44 ( ! [X149] : (sK80 = not(possibly(X149)) | ~is_a_theorem(not(X149))) ) | (~spl94_336 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f11594,f7274])). 56.55/7.44 fof(f7274,plain,( 56.55/7.44 ( ! [X1] : (is_a_theorem(not(possibly(X1))) | ~is_a_theorem(not(X1))) ) | ~spl94_336), 56.55/7.44 inference(avatar_component_clause,[],[f7273])). 56.55/7.44 fof(f7273,plain,( 56.55/7.44 spl94_336 <=> ! [X1] : (is_a_theorem(not(possibly(X1))) | ~is_a_theorem(not(X1)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_336])])). 56.55/7.44 fof(f23384,plain,( 56.55/7.44 spl94_35 | ~spl94_75 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f22999])). 56.55/7.44 fof(f22999,plain,( 56.55/7.44 $false | (spl94_35 | ~spl94_75 | ~spl94_180)), 56.55/7.44 inference(unit_resulting_resolution,[],[f673,f2212,f854])). 56.55/7.44 fof(f673,plain,( 56.55/7.44 sK17 != sK18 | spl94_35), 56.55/7.44 inference(avatar_component_clause,[],[f671])). 56.55/7.44 fof(f671,plain,( 56.55/7.44 spl94_35 <=> sK17 = sK18), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_35])])). 56.55/7.44 fof(f23383,plain,( 56.55/7.44 ~spl94_180 | ~spl94_367), 56.55/7.44 inference(avatar_contradiction_clause,[],[f22998])). 56.55/7.44 fof(f22998,plain,( 56.55/7.44 $false | (~spl94_180 | ~spl94_367)), 56.55/7.44 inference(unit_resulting_resolution,[],[f2212,f2212,f8707])). 56.55/7.44 fof(f23382,plain,( 56.55/7.44 ~spl94_180 | ~spl94_335), 56.55/7.44 inference(avatar_contradiction_clause,[],[f22997])). 56.55/7.44 fof(f22997,plain,( 56.55/7.44 $false | (~spl94_180 | ~spl94_335)), 56.55/7.44 inference(unit_resulting_resolution,[],[f2212,f2212,f6784])). 56.55/7.44 fof(f23381,plain,( 56.55/7.44 ~spl94_180 | ~spl94_233), 56.55/7.44 inference(avatar_contradiction_clause,[],[f22996])). 56.55/7.44 fof(f22996,plain,( 56.55/7.44 $false | (~spl94_180 | ~spl94_233)), 56.55/7.44 inference(unit_resulting_resolution,[],[f2212,f2212,f3181])). 56.55/7.44 fof(f23380,plain,( 56.55/7.44 spl94_35 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f22995])). 56.55/7.44 fof(f22995,plain,( 56.55/7.44 $false | (spl94_35 | ~spl94_180)), 56.55/7.44 inference(unit_resulting_resolution,[],[f673,f2212,f488])). 56.55/7.44 fof(f23379,plain,( 56.55/7.44 ~spl94_180 | ~spl94_334), 56.55/7.44 inference(avatar_contradiction_clause,[],[f22994])). 56.55/7.44 fof(f22994,plain,( 56.55/7.44 $false | (~spl94_180 | ~spl94_334)), 56.55/7.44 inference(unit_resulting_resolution,[],[f2212,f2212,f6728])). 56.55/7.44 fof(f23378,plain,( 56.55/7.44 ~spl94_180 | ~spl94_287), 56.55/7.44 inference(avatar_contradiction_clause,[],[f22993])). 56.55/7.44 fof(f22993,plain,( 56.55/7.44 $false | (~spl94_180 | ~spl94_287)), 56.55/7.44 inference(unit_resulting_resolution,[],[f2212,f2212,f5772])). 56.55/7.44 fof(f23377,plain,( 56.55/7.44 ~spl94_180 | ~spl94_367), 56.55/7.44 inference(avatar_contradiction_clause,[],[f22992])). 56.55/7.44 fof(f22992,plain,( 56.55/7.44 $false | (~spl94_180 | ~spl94_367)), 56.55/7.44 inference(unit_resulting_resolution,[],[f2212,f2212,f8707])). 56.55/7.44 fof(f23376,plain,( 56.55/7.44 ~spl94_180 | ~spl94_335), 56.55/7.44 inference(avatar_contradiction_clause,[],[f22991])). 56.55/7.44 fof(f22991,plain,( 56.55/7.44 $false | (~spl94_180 | ~spl94_335)), 56.55/7.44 inference(unit_resulting_resolution,[],[f2212,f2212,f6784])). 56.55/7.44 fof(f23375,plain,( 56.55/7.44 ~spl94_180 | ~spl94_233), 56.55/7.44 inference(avatar_contradiction_clause,[],[f22990])). 56.55/7.44 fof(f22990,plain,( 56.55/7.44 $false | (~spl94_180 | ~spl94_233)), 56.55/7.44 inference(unit_resulting_resolution,[],[f2212,f2212,f3181])). 56.55/7.44 fof(f23374,plain,( 56.55/7.44 ~spl94_180 | ~spl94_334), 56.55/7.44 inference(avatar_contradiction_clause,[],[f22989])). 56.55/7.44 fof(f22989,plain,( 56.55/7.44 $false | (~spl94_180 | ~spl94_334)), 56.55/7.44 inference(unit_resulting_resolution,[],[f2212,f2212,f6728])). 56.55/7.44 fof(f23373,plain,( 56.55/7.44 ~spl94_180 | ~spl94_287), 56.55/7.44 inference(avatar_contradiction_clause,[],[f22988])). 56.55/7.44 fof(f22988,plain,( 56.55/7.44 $false | (~spl94_180 | ~spl94_287)), 56.55/7.44 inference(unit_resulting_resolution,[],[f2212,f2212,f5772])). 56.55/7.44 fof(f23372,plain,( 56.55/7.44 spl94_150 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f22987])). 56.55/7.44 fof(f22987,plain,( 56.55/7.44 $false | (spl94_150 | ~spl94_180)), 56.55/7.44 inference(unit_resulting_resolution,[],[f1408,f2212])). 56.55/7.44 fof(f23371,plain,( 56.55/7.44 spl94_150 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23010])). 56.55/7.44 fof(f23010,plain,( 56.55/7.44 $false | (spl94_150 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1408])). 56.55/7.44 fof(f23370,plain,( 56.55/7.44 spl94_84 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23011])). 56.55/7.44 fof(f23011,plain,( 56.55/7.44 $false | (spl94_84 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f917])). 56.55/7.44 fof(f917,plain,( 56.55/7.44 ~is_a_theorem(and(sK19,sK20)) | spl94_84), 56.55/7.44 inference(avatar_component_clause,[],[f915])). 56.55/7.44 fof(f915,plain,( 56.55/7.44 spl94_84 <=> is_a_theorem(and(sK19,sK20))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_84])])). 56.55/7.44 fof(f23369,plain,( 56.55/7.44 spl94_152 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23012])). 56.55/7.44 fof(f23012,plain,( 56.55/7.44 $false | (spl94_152 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1417])). 56.55/7.44 fof(f23368,plain,( 56.55/7.44 ~spl94_180 | spl94_209), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23013])). 56.55/7.44 fof(f23013,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_209)), 56.55/7.44 inference(resolution,[],[f2212,f2720])). 56.55/7.44 fof(f2720,plain,( 56.55/7.44 ~is_a_theorem(and(sK22,sK23)) | spl94_209), 56.55/7.44 inference(avatar_component_clause,[],[f2718])). 56.55/7.44 fof(f2718,plain,( 56.55/7.44 spl94_209 <=> is_a_theorem(and(sK22,sK23))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_209])])). 56.55/7.44 fof(f23367,plain,( 56.55/7.44 ~spl94_180 | spl94_245), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23014])). 56.55/7.44 fof(f23014,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_245)), 56.55/7.44 inference(resolution,[],[f2212,f3595])). 56.55/7.44 fof(f23366,plain,( 56.55/7.44 ~spl94_180 | spl94_214), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23015])). 56.55/7.44 fof(f23015,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_214)), 56.55/7.44 inference(resolution,[],[f2212,f2788])). 56.55/7.44 fof(f2788,plain,( 56.55/7.44 ~is_a_theorem(and(sK31,sK32)) | spl94_214), 56.55/7.44 inference(avatar_component_clause,[],[f2786])). 56.55/7.44 fof(f2786,plain,( 56.55/7.44 spl94_214 <=> is_a_theorem(and(sK31,sK32))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_214])])). 56.55/7.44 fof(f23365,plain,( 56.55/7.44 spl94_117 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23016])). 56.55/7.44 fof(f23016,plain,( 56.55/7.44 $false | (spl94_117 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1175])). 56.55/7.44 fof(f1175,plain,( 56.55/7.44 ~is_a_theorem(and(sK71,sK70)) | spl94_117), 56.55/7.44 inference(avatar_component_clause,[],[f1173])). 56.55/7.44 fof(f1173,plain,( 56.55/7.44 spl94_117 <=> is_a_theorem(and(sK71,sK70))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_117])])). 56.55/7.44 fof(f23364,plain,( 56.55/7.44 ~spl94_180 | spl94_244), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23017])). 56.55/7.44 fof(f23017,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_244)), 56.55/7.44 inference(resolution,[],[f2212,f3572])). 56.55/7.44 fof(f23363,plain,( 56.55/7.44 spl94_136 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23018])). 56.55/7.44 fof(f23018,plain,( 56.55/7.44 $false | (spl94_136 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1277])). 56.55/7.44 fof(f23362,plain,( 56.55/7.44 ~spl94_180 | spl94_300), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23019])). 56.55/7.44 fof(f23019,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_300)), 56.55/7.44 inference(resolution,[],[f2212,f5928])). 56.55/7.44 fof(f23361,plain,( 56.55/7.44 spl94_130 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23020])). 56.55/7.44 fof(f23020,plain,( 56.55/7.44 $false | (spl94_130 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1242])). 56.55/7.44 fof(f23360,plain,( 56.55/7.44 ~spl94_180 | spl94_265), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23021])). 56.55/7.44 fof(f23021,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_265)), 56.55/7.44 inference(resolution,[],[f2212,f4801])). 56.55/7.44 fof(f23359,plain,( 56.55/7.44 ~spl94_180 | spl94_184), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23022])). 56.55/7.44 fof(f23022,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_184)), 56.55/7.44 inference(resolution,[],[f2212,f2232])). 56.55/7.44 fof(f23358,plain,( 56.55/7.44 spl94_125 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23023])). 56.55/7.44 fof(f23023,plain,( 56.55/7.44 $false | (spl94_125 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1214])). 56.55/7.44 fof(f23357,plain,( 56.55/7.44 ~spl94_180 | spl94_506), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23024])). 56.55/7.44 fof(f23024,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_506)), 56.55/7.44 inference(resolution,[],[f2212,f22749])). 56.55/7.44 fof(f23356,plain,( 56.55/7.44 ~spl94_180 | spl94_507), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23025])). 56.55/7.44 fof(f23025,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_507)), 56.55/7.44 inference(resolution,[],[f2212,f22754])). 56.55/7.44 fof(f23355,plain,( 56.55/7.44 ~spl94_180 | spl94_465), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23026])). 56.55/7.44 fof(f23026,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_465)), 56.55/7.44 inference(resolution,[],[f2212,f19746])). 56.55/7.44 fof(f23354,plain,( 56.55/7.44 ~spl94_180 | spl94_487), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23027])). 56.55/7.44 fof(f23027,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_487)), 56.55/7.44 inference(resolution,[],[f2212,f20641])). 56.55/7.44 fof(f23353,plain,( 56.55/7.44 ~spl94_180 | spl94_354), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23028])). 56.55/7.44 fof(f23028,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_354)), 56.55/7.44 inference(resolution,[],[f2212,f7614])). 56.55/7.44 fof(f23352,plain,( 56.55/7.44 ~spl94_180 | spl94_352), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23029])). 56.55/7.44 fof(f23029,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_352)), 56.55/7.44 inference(resolution,[],[f2212,f7605])). 56.55/7.44 fof(f23351,plain,( 56.55/7.44 ~spl94_180 | spl94_263), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23030])). 56.55/7.44 fof(f23030,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_263)), 56.55/7.44 inference(resolution,[],[f2212,f4329])). 56.55/7.44 fof(f23350,plain,( 56.55/7.44 ~spl94_180 | spl94_262), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23031])). 56.55/7.44 fof(f23031,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_262)), 56.55/7.44 inference(resolution,[],[f2212,f4319])). 56.55/7.44 fof(f23349,plain,( 56.55/7.44 ~spl94_180 | spl94_308), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23032])). 56.55/7.44 fof(f23032,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_308)), 56.55/7.44 inference(resolution,[],[f2212,f5997])). 56.55/7.44 fof(f23348,plain,( 56.55/7.44 ~spl94_180 | spl94_271), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23033])). 56.55/7.44 fof(f23033,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_271)), 56.55/7.44 inference(resolution,[],[f2212,f4848])). 56.55/7.44 fof(f23347,plain,( 56.55/7.44 ~spl94_180 | spl94_266), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23034])). 56.55/7.44 fof(f23034,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_266)), 56.55/7.44 inference(resolution,[],[f2212,f4806])). 56.55/7.44 fof(f23346,plain,( 56.55/7.44 ~spl94_180 | spl94_339), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23035])). 56.55/7.44 fof(f23035,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_339)), 56.55/7.44 inference(resolution,[],[f2212,f7312])). 56.55/7.44 fof(f23345,plain,( 56.55/7.44 ~spl94_180 | spl94_504), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23036])). 56.55/7.44 fof(f23036,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_504)), 56.55/7.44 inference(resolution,[],[f2212,f22593])). 56.55/7.44 fof(f23344,plain,( 56.55/7.44 ~spl94_180 | spl94_505), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23037])). 56.55/7.44 fof(f23037,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_505)), 56.55/7.44 inference(resolution,[],[f2212,f22656])). 56.55/7.44 fof(f23343,plain,( 56.55/7.44 spl94_160 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23038])). 56.55/7.44 fof(f23038,plain,( 56.55/7.44 $false | (spl94_160 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1582])). 56.55/7.44 fof(f23342,plain,( 56.55/7.44 ~spl94_180 | spl94_185), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23039])). 56.55/7.44 fof(f23039,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_185)), 56.55/7.44 inference(resolution,[],[f2212,f2248])). 56.55/7.44 fof(f23341,plain,( 56.55/7.44 ~spl94_180 | spl94_204), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23040])). 56.55/7.44 fof(f23040,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_204)), 56.55/7.44 inference(resolution,[],[f2212,f2524])). 56.55/7.44 fof(f23340,plain,( 56.55/7.44 spl94_176 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23043])). 56.55/7.44 fof(f23043,plain,( 56.55/7.44 $false | (spl94_176 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f2177])). 56.55/7.44 fof(f23339,plain,( 56.55/7.44 spl94_179 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23044])). 56.55/7.44 fof(f23044,plain,( 56.55/7.44 $false | (spl94_179 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f2200])). 56.55/7.44 fof(f23338,plain,( 56.55/7.44 spl94_169 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23045])). 56.55/7.44 fof(f23045,plain,( 56.55/7.44 $false | (spl94_169 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f2059])). 56.55/7.44 fof(f23337,plain,( 56.55/7.44 ~spl94_180 | spl94_460), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23046])). 56.55/7.44 fof(f23046,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_460)), 56.55/7.44 inference(resolution,[],[f2212,f17370])). 56.55/7.44 fof(f23336,plain,( 56.55/7.44 spl94_167 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23047])). 56.55/7.44 fof(f23047,plain,( 56.55/7.44 $false | (spl94_167 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1861])). 56.55/7.44 fof(f23335,plain,( 56.55/7.44 ~spl94_180 | spl94_349), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23048])). 56.55/7.44 fof(f23048,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_349)), 56.55/7.44 inference(resolution,[],[f2212,f7532])). 56.55/7.44 fof(f23334,plain,( 56.55/7.44 spl94_156 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23049])). 56.55/7.44 fof(f23049,plain,( 56.55/7.44 $false | (spl94_156 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1508])). 56.55/7.44 fof(f23333,plain,( 56.55/7.44 ~spl94_180 | spl94_365), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23050])). 56.55/7.44 fof(f23050,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_365)), 56.55/7.44 inference(resolution,[],[f2212,f7932])). 56.55/7.44 fof(f23332,plain,( 56.55/7.44 spl94_166 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23051])). 56.55/7.44 fof(f23051,plain,( 56.55/7.44 $false | (spl94_166 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1852])). 56.55/7.44 fof(f23331,plain,( 56.55/7.44 ~spl94_180 | spl94_361), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23052])). 56.55/7.44 fof(f23052,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_361)), 56.55/7.44 inference(resolution,[],[f2212,f7649])). 56.55/7.44 fof(f23330,plain,( 56.55/7.44 ~spl94_180 | spl94_311), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23053])). 56.55/7.44 fof(f23053,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_311)), 56.55/7.44 inference(resolution,[],[f2212,f6088])). 56.55/7.44 fof(f23329,plain,( 56.55/7.44 ~spl94_180 | spl94_307), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23054])). 56.55/7.44 fof(f23054,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_307)), 56.55/7.44 inference(resolution,[],[f2212,f5981])). 56.55/7.44 fof(f23328,plain,( 56.55/7.44 ~spl94_180 | spl94_293), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23055])). 56.55/7.44 fof(f23055,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_293)), 56.55/7.44 inference(resolution,[],[f2212,f5861])). 56.55/7.44 fof(f23327,plain,( 56.55/7.44 ~spl94_180 | spl94_291), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23056])). 56.55/7.44 fof(f23056,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_291)), 56.55/7.44 inference(resolution,[],[f2212,f5852])). 56.55/7.44 fof(f23326,plain,( 56.55/7.44 ~spl94_180 | spl94_457), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23057])). 56.55/7.44 fof(f23057,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_457)), 56.55/7.44 inference(resolution,[],[f2212,f16942])). 56.55/7.44 fof(f23325,plain,( 56.55/7.44 spl94_170 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23058])). 56.55/7.44 fof(f23058,plain,( 56.55/7.44 $false | (spl94_170 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f2078])). 56.55/7.44 fof(f23324,plain,( 56.55/7.44 ~spl94_180 | spl94_500), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23059])). 56.55/7.44 fof(f23059,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_500)), 56.55/7.44 inference(resolution,[],[f2212,f20838])). 56.55/7.44 fof(f23323,plain,( 56.55/7.44 ~spl94_180 | spl94_501), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23060])). 56.55/7.44 fof(f23060,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_501)), 56.55/7.44 inference(resolution,[],[f2212,f20892])). 56.55/7.44 fof(f23322,plain,( 56.55/7.44 spl94_171 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23061])). 56.55/7.44 fof(f23061,plain,( 56.55/7.44 $false | (spl94_171 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f2132])). 56.55/7.44 fof(f23321,plain,( 56.55/7.44 ~spl94_180 | spl94_194), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23063])). 56.55/7.44 fof(f23063,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_194)), 56.55/7.44 inference(resolution,[],[f2212,f2402])). 56.55/7.44 fof(f23320,plain,( 56.55/7.44 ~spl94_180 | spl94_347), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23064])). 56.55/7.44 fof(f23064,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_347)), 56.55/7.44 inference(resolution,[],[f2212,f7411])). 56.55/7.44 fof(f23319,plain,( 56.55/7.44 ~spl94_180 | spl94_350), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23065])). 56.55/7.44 fof(f23065,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_350)), 56.55/7.44 inference(resolution,[],[f2212,f7596])). 56.55/7.44 fof(f23318,plain,( 56.55/7.44 ~spl94_180 | spl94_213), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23066])). 56.55/7.44 fof(f23066,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_213)), 56.55/7.44 inference(resolution,[],[f2212,f2781])). 56.55/7.44 fof(f23317,plain,( 56.55/7.44 ~spl94_180 | spl94_195), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23067])). 56.55/7.44 fof(f23067,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_195)), 56.55/7.44 inference(resolution,[],[f2212,f2409])). 56.55/7.44 fof(f23316,plain,( 56.55/7.44 ~spl94_180 | spl94_363), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23068])). 56.55/7.44 fof(f23068,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_363)), 56.55/7.44 inference(resolution,[],[f2212,f7765])). 56.55/7.44 fof(f23315,plain,( 56.55/7.44 ~spl94_180 | spl94_364), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23069])). 56.55/7.44 fof(f23069,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_364)), 56.55/7.44 inference(resolution,[],[f2212,f7770])). 56.55/7.44 fof(f23314,plain,( 56.55/7.44 ~spl94_180 | spl94_348), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23070])). 56.55/7.44 fof(f23070,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_348)), 56.55/7.44 inference(resolution,[],[f2212,f7416])). 56.55/7.44 fof(f23313,plain,( 56.55/7.44 ~spl94_180 | spl94_356), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23071])). 56.55/7.44 fof(f23071,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_356)), 56.55/7.44 inference(resolution,[],[f2212,f7627])). 56.55/7.44 fof(f23312,plain,( 56.55/7.44 ~spl94_180 | spl94_358), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23072])). 56.55/7.44 fof(f23072,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_358)), 56.55/7.44 inference(resolution,[],[f2212,f7636])). 56.55/7.44 fof(f23311,plain,( 56.55/7.44 ~spl94_180 | spl94_264), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23073])). 56.55/7.44 fof(f23073,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_264)), 56.55/7.44 inference(resolution,[],[f2212,f4486])). 56.55/7.44 fof(f23310,plain,( 56.55/7.44 spl94_175 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23074])). 56.55/7.44 fof(f23074,plain,( 56.55/7.44 $false | (spl94_175 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f2172])). 56.55/7.44 fof(f23309,plain,( 56.55/7.44 ~spl94_180 | spl94_309), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23075])). 56.55/7.44 fof(f23075,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_309)), 56.55/7.44 inference(resolution,[],[f2212,f6033])). 56.55/7.44 fof(f23308,plain,( 56.55/7.44 ~spl94_180 | spl94_310), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23076])). 56.55/7.44 fof(f23076,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_310)), 56.55/7.44 inference(resolution,[],[f2212,f6038])). 56.55/7.44 fof(f23307,plain,( 56.55/7.44 ~spl94_180 | spl94_306), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23077])). 56.55/7.44 fof(f23077,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_306)), 56.55/7.44 inference(resolution,[],[f2212,f5960])). 56.55/7.44 fof(f23306,plain,( 56.55/7.44 spl94_162 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23078])). 56.55/7.44 fof(f23078,plain,( 56.55/7.44 $false | (spl94_162 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1735])). 56.55/7.44 fof(f23305,plain,( 56.55/7.44 ~spl94_180 | spl94_273), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23079])). 56.55/7.44 fof(f23079,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_273)), 56.55/7.44 inference(resolution,[],[f2212,f5106])). 56.55/7.44 fof(f23304,plain,( 56.55/7.44 ~spl94_180 | spl94_248), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23080])). 56.55/7.44 fof(f23080,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_248)), 56.55/7.44 inference(resolution,[],[f2212,f3763])). 56.55/7.44 fof(f23303,plain,( 56.55/7.44 ~spl94_180 | spl94_272), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23081])). 56.55/7.44 fof(f23081,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_272)), 56.55/7.44 inference(resolution,[],[f2212,f4906])). 56.55/7.44 fof(f23302,plain,( 56.55/7.44 spl94_163 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23082])). 56.55/7.44 fof(f23082,plain,( 56.55/7.44 $false | (spl94_163 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1746])). 56.55/7.44 fof(f23301,plain,( 56.55/7.44 spl94_164 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23083])). 56.55/7.44 fof(f23083,plain,( 56.55/7.44 $false | (spl94_164 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1751])). 56.55/7.44 fof(f23300,plain,( 56.55/7.44 ~spl94_180 | spl94_267), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23084])). 56.55/7.44 fof(f23084,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_267)), 56.55/7.44 inference(resolution,[],[f2212,f4816])). 56.55/7.44 fof(f23299,plain,( 56.55/7.44 ~spl94_180 | spl94_268), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23085])). 56.55/7.44 fof(f23085,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_268)), 56.55/7.44 inference(resolution,[],[f2212,f4835])). 56.55/7.44 fof(f23298,plain,( 56.55/7.44 ~spl94_180 | spl94_459), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23086])). 56.55/7.44 fof(f23086,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_459)), 56.55/7.44 inference(resolution,[],[f2212,f17317])). 56.55/7.44 fof(f23297,plain,( 56.55/7.44 spl94_165 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23087])). 56.55/7.44 fof(f23087,plain,( 56.55/7.44 $false | (spl94_165 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1780])). 56.55/7.44 fof(f23296,plain,( 56.55/7.44 ~spl94_180 | spl94_341), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23088])). 56.55/7.44 fof(f23088,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_341)), 56.55/7.44 inference(resolution,[],[f2212,f7325])). 56.55/7.44 fof(f23295,plain,( 56.55/7.44 ~spl94_180 | spl94_246), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23089])). 56.55/7.44 fof(f23089,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_246)), 56.55/7.44 inference(resolution,[],[f2212,f3629])). 56.55/7.44 fof(f23294,plain,( 56.55/7.44 ~spl94_180 | spl94_285), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23090])). 56.55/7.44 fof(f23090,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_285)), 56.55/7.44 inference(resolution,[],[f2212,f5735])). 56.55/7.44 fof(f23293,plain,( 56.55/7.44 ~spl94_180 | spl94_464), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23091])). 56.55/7.44 fof(f23091,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_464)), 56.55/7.44 inference(resolution,[],[f2212,f19250])). 56.55/7.44 fof(f23292,plain,( 56.55/7.44 spl94_89 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23092])). 56.55/7.44 fof(f23092,plain,( 56.55/7.44 $false | (spl94_89 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f941])). 56.55/7.44 fof(f23291,plain,( 56.55/7.44 spl94_143 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23093])). 56.55/7.44 fof(f23093,plain,( 56.55/7.44 $false | (spl94_143 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1372])). 56.55/7.44 fof(f23290,plain,( 56.55/7.44 spl94_141 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23094])). 56.55/7.44 fof(f23094,plain,( 56.55/7.44 $false | (spl94_141 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1321])). 56.55/7.44 fof(f23289,plain,( 56.55/7.44 ~spl94_180 | spl94_200), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23095])). 56.55/7.44 fof(f23095,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_200)), 56.55/7.44 inference(resolution,[],[f2212,f2443])). 56.55/7.44 fof(f23288,plain,( 56.55/7.44 spl94_53 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23097])). 56.55/7.44 fof(f23097,plain,( 56.55/7.44 $false | (spl94_53 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f759])). 56.55/7.44 fof(f23287,plain,( 56.55/7.44 spl94_54 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23098])). 56.55/7.44 fof(f23098,plain,( 56.55/7.44 $false | (spl94_54 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f764])). 56.55/7.44 fof(f23286,plain,( 56.55/7.44 spl94_126 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23100])). 56.55/7.44 fof(f23100,plain,( 56.55/7.44 $false | (spl94_126 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1219])). 56.55/7.44 fof(f23285,plain,( 56.55/7.44 spl94_110 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23101])). 56.55/7.44 fof(f23101,plain,( 56.55/7.44 $false | (spl94_110 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1134])). 56.55/7.44 fof(f23284,plain,( 56.55/7.44 spl94_99 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23102])). 56.55/7.44 fof(f23102,plain,( 56.55/7.44 $false | (spl94_99 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1033])). 56.55/7.44 fof(f23283,plain,( 56.55/7.44 spl94_153 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23103])). 56.55/7.44 fof(f23103,plain,( 56.55/7.44 $false | (spl94_153 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1425])). 56.55/7.44 fof(f23282,plain,( 56.55/7.44 ~spl94_180 | spl94_206), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23104])). 56.55/7.44 fof(f23104,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_206)), 56.55/7.44 inference(resolution,[],[f2212,f2588])). 56.55/7.44 fof(f23281,plain,( 56.55/7.44 ~spl94_180 | spl94_205), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23105])). 56.55/7.44 fof(f23105,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_205)), 56.55/7.44 inference(resolution,[],[f2212,f2584])). 56.55/7.44 fof(f23280,plain,( 56.55/7.44 spl94_111 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23106])). 56.55/7.44 fof(f23106,plain,( 56.55/7.44 $false | (spl94_111 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1140])). 56.55/7.44 fof(f23279,plain,( 56.55/7.44 ~spl94_180 | spl94_454), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23107])). 56.55/7.44 fof(f23107,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_454)), 56.55/7.44 inference(resolution,[],[f2212,f16816])). 56.55/7.44 fof(f23278,plain,( 56.55/7.44 spl94_52 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23108])). 56.55/7.44 fof(f23108,plain,( 56.55/7.44 $false | (spl94_52 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f754])). 56.55/7.44 fof(f23277,plain,( 56.55/7.44 spl94_115 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23109])). 56.55/7.44 fof(f23109,plain,( 56.55/7.44 $false | (spl94_115 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1164])). 56.55/7.44 fof(f23276,plain,( 56.55/7.44 spl94_120 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23110])). 56.55/7.44 fof(f23110,plain,( 56.55/7.44 $false | (spl94_120 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1188])). 56.55/7.44 fof(f23275,plain,( 56.55/7.44 ~spl94_180 | spl94_374), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23111])). 56.55/7.44 fof(f23111,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_374)), 56.55/7.44 inference(resolution,[],[f2212,f8796])). 56.55/7.44 fof(f23274,plain,( 56.55/7.44 ~spl94_180 | spl94_327), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23112])). 56.55/7.44 fof(f23112,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_327)), 56.55/7.44 inference(resolution,[],[f2212,f6434])). 56.55/7.44 fof(f23273,plain,( 56.55/7.44 ~spl94_180 | spl94_324), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23113])). 56.55/7.44 fof(f23113,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_324)), 56.55/7.44 inference(resolution,[],[f2212,f6412])). 56.55/7.44 fof(f23272,plain,( 56.55/7.44 ~spl94_180 | spl94_295), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23114])). 56.55/7.44 fof(f23114,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_295)), 56.55/7.44 inference(resolution,[],[f2212,f5870])). 56.55/7.44 fof(f23271,plain,( 56.55/7.44 spl94_109 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23115])). 56.55/7.44 fof(f23115,plain,( 56.55/7.44 $false | (spl94_109 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1129])). 56.55/7.44 fof(f23270,plain,( 56.55/7.44 spl94_65 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23116])). 56.55/7.44 fof(f23116,plain,( 56.55/7.44 $false | (spl94_65 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f811])). 56.55/7.44 fof(f23269,plain,( 56.55/7.44 spl94_149 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23117])). 56.55/7.44 fof(f23117,plain,( 56.55/7.44 $false | (spl94_149 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1403])). 56.55/7.44 fof(f23268,plain,( 56.55/7.44 spl94_74 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23118])). 56.55/7.44 fof(f23118,plain,( 56.55/7.44 $false | (spl94_74 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f850])). 56.55/7.44 fof(f23267,plain,( 56.55/7.44 spl94_104 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23119])). 56.55/7.44 fof(f23119,plain,( 56.55/7.44 $false | (spl94_104 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1058])). 56.55/7.44 fof(f23266,plain,( 56.55/7.44 spl94_127 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23120])). 56.55/7.44 fof(f23120,plain,( 56.55/7.44 $false | (spl94_127 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1226])). 56.55/7.44 fof(f23265,plain,( 56.55/7.44 ~spl94_180 | spl94_261), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23121])). 56.55/7.44 fof(f23121,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_261)), 56.55/7.44 inference(resolution,[],[f2212,f4299])). 56.55/7.44 fof(f23264,plain,( 56.55/7.44 spl94_172 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23122])). 56.55/7.44 fof(f23122,plain,( 56.55/7.44 $false | (spl94_172 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f2152])). 56.55/7.44 fof(f23263,plain,( 56.55/7.44 spl94_129 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23123])). 56.55/7.44 fof(f23123,plain,( 56.55/7.44 $false | (spl94_129 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1235])). 56.55/7.44 fof(f23262,plain,( 56.55/7.44 ~spl94_180 | spl94_322), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23124])). 56.55/7.44 fof(f23124,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_322)), 56.55/7.44 inference(resolution,[],[f2212,f6403])). 56.55/7.44 fof(f23261,plain,( 56.55/7.44 spl94_137 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23125])). 56.55/7.44 fof(f23125,plain,( 56.55/7.44 $false | (spl94_137 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1284])). 56.55/7.44 fof(f23260,plain,( 56.55/7.44 ~spl94_180 | spl94_299), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23128])). 56.55/7.44 fof(f23128,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_299)), 56.55/7.44 inference(resolution,[],[f2212,f5923])). 56.55/7.44 fof(f23259,plain,( 56.55/7.44 ~spl94_180 | spl94_297), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23129])). 56.55/7.44 fof(f23129,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_297)), 56.55/7.44 inference(resolution,[],[f2212,f5914])). 56.55/7.44 fof(f23258,plain,( 56.55/7.44 ~spl94_180 | spl94_383), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23130])). 56.55/7.44 fof(f23130,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_383)), 56.55/7.44 inference(resolution,[],[f2212,f9763])). 56.55/7.44 fof(f23257,plain,( 56.55/7.44 ~spl94_180 | spl94_243), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23131])). 56.55/7.44 fof(f23131,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_243)), 56.55/7.44 inference(resolution,[],[f2212,f3555])). 56.55/7.44 fof(f23256,plain,( 56.55/7.44 spl94_121 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23132])). 56.55/7.44 fof(f23132,plain,( 56.55/7.44 $false | (spl94_121 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1193])). 56.55/7.44 fof(f23255,plain,( 56.55/7.44 ~spl94_180 | spl94_239), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23133])). 56.55/7.44 fof(f23133,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_239)), 56.55/7.44 inference(resolution,[],[f2212,f3462])). 56.55/7.44 fof(f23254,plain,( 56.55/7.44 spl94_91 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23134])). 56.55/7.44 fof(f23134,plain,( 56.55/7.44 $false | (spl94_91 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f951])). 56.55/7.44 fof(f23253,plain,( 56.55/7.44 ~spl94_180 | spl94_240), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23135])). 56.55/7.44 fof(f23135,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_240)), 56.55/7.44 inference(resolution,[],[f2212,f3478])). 56.55/7.44 fof(f23252,plain,( 56.55/7.44 ~spl94_180 | spl94_241), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23136])). 56.55/7.44 fof(f23136,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_241)), 56.55/7.44 inference(resolution,[],[f2212,f3483])). 56.55/7.44 fof(f23251,plain,( 56.55/7.44 ~spl94_180 | spl94_456), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23137])). 56.55/7.44 fof(f23137,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_456)), 56.55/7.44 inference(resolution,[],[f2212,f16937])). 56.55/7.44 fof(f23250,plain,( 56.55/7.44 ~spl94_180 | spl94_251), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23138])). 56.55/7.44 fof(f23138,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_251)), 56.55/7.44 inference(resolution,[],[f2212,f3837])). 56.55/7.44 fof(f23249,plain,( 56.55/7.44 ~spl94_180 | spl94_253), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23139])). 56.55/7.44 fof(f23139,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_253)), 56.55/7.44 inference(resolution,[],[f2212,f3937])). 56.55/7.44 fof(f23248,plain,( 56.55/7.44 ~spl94_180 | spl94_252), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23140])). 56.55/7.44 fof(f23140,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_252)), 56.55/7.44 inference(resolution,[],[f2212,f3907])). 56.55/7.44 fof(f23247,plain,( 56.55/7.44 ~spl94_180 | spl94_234), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23141])). 56.55/7.44 fof(f23141,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_234)), 56.55/7.44 inference(resolution,[],[f2212,f3292])). 56.55/7.44 fof(f23246,plain,( 56.55/7.44 ~spl94_180 | spl94_319), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23142])). 56.55/7.44 fof(f23142,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_319)), 56.55/7.44 inference(resolution,[],[f2212,f6373])). 56.55/7.44 fof(f23245,plain,( 56.55/7.44 ~spl94_180 | spl94_382), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23143])). 56.55/7.44 fof(f23143,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_382)), 56.55/7.44 inference(resolution,[],[f2212,f9621])). 56.55/7.44 fof(f23244,plain,( 56.55/7.44 ~spl94_180 | spl94_254), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23144])). 56.55/7.44 fof(f23144,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_254)), 56.55/7.44 inference(resolution,[],[f2212,f3997])). 56.55/7.44 fof(f23243,plain,( 56.55/7.44 ~spl94_180 | spl94_235), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23145])). 56.55/7.44 fof(f23145,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_235)), 56.55/7.44 inference(resolution,[],[f2212,f3319])). 56.55/7.44 fof(f23242,plain,( 56.55/7.44 ~spl94_180 | spl94_260), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23146])). 56.55/7.44 fof(f23146,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_260)), 56.55/7.44 inference(resolution,[],[f2212,f4287])). 56.55/7.44 fof(f23241,plain,( 56.55/7.44 ~spl94_180 | spl94_236), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23147])). 56.55/7.44 fof(f23147,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_236)), 56.55/7.44 inference(resolution,[],[f2212,f3344])). 56.55/7.44 fof(f23240,plain,( 56.55/7.44 ~spl94_180 | spl94_381), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23148])). 56.55/7.44 fof(f23148,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_381)), 56.55/7.44 inference(resolution,[],[f2212,f9523])). 56.55/7.44 fof(f23239,plain,( 56.55/7.44 ~spl94_180 | spl94_380), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23149])). 56.55/7.44 fof(f23149,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_380)), 56.55/7.44 inference(resolution,[],[f2212,f9377])). 56.55/7.44 fof(f23238,plain,( 56.55/7.44 ~spl94_180 | spl94_320), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23150])). 56.55/7.44 fof(f23150,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_320)), 56.55/7.44 inference(resolution,[],[f2212,f6378])). 56.55/7.44 fof(f23237,plain,( 56.55/7.44 ~spl94_180 | spl94_237), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23151])). 56.55/7.44 fof(f23151,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_237)), 56.55/7.44 inference(resolution,[],[f2212,f3349])). 56.55/7.44 fof(f23236,plain,( 56.55/7.44 ~spl94_180 | spl94_255), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23152])). 56.55/7.44 fof(f23152,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_255)), 56.55/7.44 inference(resolution,[],[f2212,f4002])). 56.55/7.44 fof(f23235,plain,( 56.55/7.44 ~spl94_180 | spl94_458), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23153])). 56.55/7.44 fof(f23153,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_458)), 56.55/7.44 inference(resolution,[],[f2212,f17104])). 56.55/7.44 fof(f23234,plain,( 56.55/7.44 ~spl94_180 | spl94_238), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23154])). 56.55/7.44 fof(f23154,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_238)), 56.55/7.44 inference(resolution,[],[f2212,f3376])). 56.55/7.44 fof(f23233,plain,( 56.55/7.44 ~spl94_180 | spl94_379), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23155])). 56.55/7.44 fof(f23155,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_379)), 56.55/7.44 inference(resolution,[],[f2212,f9197])). 56.55/7.44 fof(f23232,plain,( 56.55/7.44 ~spl94_180 | spl94_296), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23156])). 56.55/7.44 fof(f23156,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_296)), 56.55/7.44 inference(resolution,[],[f2212,f5894])). 56.55/7.44 fof(f23231,plain,( 56.55/7.44 spl94_37 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23158])). 56.55/7.44 fof(f23158,plain,( 56.55/7.44 $false | (spl94_37 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f681])). 56.55/7.44 fof(f681,plain,( 56.55/7.44 ~is_a_theorem(strict_equiv(sK17,sK18)) | spl94_37), 56.55/7.44 inference(avatar_component_clause,[],[f680])). 56.55/7.44 fof(f680,plain,( 56.55/7.44 spl94_37 <=> is_a_theorem(strict_equiv(sK17,sK18))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_37])])). 56.55/7.44 fof(f23230,plain,( 56.55/7.44 spl94_174 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23159])). 56.55/7.44 fof(f23159,plain,( 56.55/7.44 $false | (spl94_174 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f2167])). 56.55/7.44 fof(f2167,plain,( 56.55/7.44 ~is_a_theorem(strict_equiv(sK18,sK17)) | spl94_174), 56.55/7.44 inference(avatar_component_clause,[],[f2165])). 56.55/7.44 fof(f2165,plain,( 56.55/7.44 spl94_174 <=> is_a_theorem(strict_equiv(sK18,sK17))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_174])])). 56.55/7.44 fof(f23229,plain,( 56.55/7.44 spl94_86 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23160])). 56.55/7.44 fof(f23160,plain,( 56.55/7.44 $false | (spl94_86 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f927])). 56.55/7.44 fof(f927,plain,( 56.55/7.44 ~is_a_theorem(sK1) | spl94_86), 56.55/7.44 inference(avatar_component_clause,[],[f925])). 56.55/7.44 fof(f925,plain,( 56.55/7.44 spl94_86 <=> is_a_theorem(sK1)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_86])])). 56.55/7.44 fof(f23228,plain,( 56.55/7.44 spl94_122 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23161])). 56.55/7.44 fof(f23161,plain,( 56.55/7.44 $false | (spl94_122 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1201])). 56.55/7.44 fof(f1201,plain,( 56.55/7.44 ~is_a_theorem(sK2) | spl94_122), 56.55/7.44 inference(avatar_component_clause,[],[f1199])). 56.55/7.44 fof(f1199,plain,( 56.55/7.44 spl94_122 <=> is_a_theorem(sK2)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_122])])). 56.55/7.44 fof(f23227,plain,( 56.55/7.44 spl94_112 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23162])). 56.55/7.44 fof(f23162,plain,( 56.55/7.44 $false | (spl94_112 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1148])). 56.55/7.44 fof(f1148,plain,( 56.55/7.44 ~is_a_theorem(sK4) | spl94_112), 56.55/7.44 inference(avatar_component_clause,[],[f1146])). 56.55/7.44 fof(f1146,plain,( 56.55/7.44 spl94_112 <=> is_a_theorem(sK4)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_112])])). 56.55/7.44 fof(f23226,plain,( 56.55/7.44 spl94_98 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23163])). 56.55/7.44 fof(f23163,plain,( 56.55/7.44 $false | (spl94_98 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1027])). 56.55/7.44 fof(f1027,plain,( 56.55/7.44 ~is_a_theorem(sK5) | spl94_98), 56.55/7.44 inference(avatar_component_clause,[],[f1025])). 56.55/7.44 fof(f1025,plain,( 56.55/7.44 spl94_98 <=> is_a_theorem(sK5)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_98])])). 56.55/7.44 fof(f23225,plain,( 56.55/7.44 spl94_85 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23164])). 56.55/7.44 fof(f23164,plain,( 56.55/7.44 $false | (spl94_85 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f922])). 56.55/7.44 fof(f922,plain,( 56.55/7.44 ~is_a_theorem(sK6) | spl94_85), 56.55/7.44 inference(avatar_component_clause,[],[f920])). 56.55/7.44 fof(f920,plain,( 56.55/7.44 spl94_85 <=> is_a_theorem(sK6)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_85])])). 56.55/7.44 fof(f23224,plain,( 56.55/7.44 spl94_106 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23165])). 56.55/7.44 fof(f23165,plain,( 56.55/7.44 $false | (spl94_106 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1116])). 56.55/7.44 fof(f1116,plain,( 56.55/7.44 ~is_a_theorem(sK9) | spl94_106), 56.55/7.44 inference(avatar_component_clause,[],[f1114])). 56.55/7.44 fof(f1114,plain,( 56.55/7.44 spl94_106 <=> is_a_theorem(sK9)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_106])])). 56.55/7.44 fof(f23223,plain,( 56.55/7.44 spl94_95 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23166])). 56.55/7.44 fof(f23166,plain,( 56.55/7.44 $false | (spl94_95 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1001])). 56.55/7.44 fof(f1001,plain,( 56.55/7.44 ~is_a_theorem(sK11) | spl94_95), 56.55/7.44 inference(avatar_component_clause,[],[f999])). 56.55/7.44 fof(f999,plain,( 56.55/7.44 spl94_95 <=> is_a_theorem(sK11)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_95])])). 56.55/7.44 fof(f23222,plain,( 56.55/7.44 spl94_94 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23167])). 56.55/7.44 fof(f23167,plain,( 56.55/7.44 $false | (spl94_94 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f996])). 56.55/7.44 fof(f996,plain,( 56.55/7.44 ~is_a_theorem(sK12) | spl94_94), 56.55/7.44 inference(avatar_component_clause,[],[f994])). 56.55/7.44 fof(f994,plain,( 56.55/7.44 spl94_94 <=> is_a_theorem(sK12)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_94])])). 56.55/7.44 fof(f23221,plain,( 56.55/7.44 spl94_154 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23168])). 56.55/7.44 fof(f23168,plain,( 56.55/7.44 $false | (spl94_154 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1435])). 56.55/7.44 fof(f1435,plain,( 56.55/7.44 ~is_a_theorem(sK14) | spl94_154), 56.55/7.44 inference(avatar_component_clause,[],[f1433])). 56.55/7.44 fof(f1433,plain,( 56.55/7.44 spl94_154 <=> is_a_theorem(sK14)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_154])])). 56.55/7.44 fof(f23220,plain,( 56.55/7.44 ~spl94_180 | spl94_208), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23169])). 56.55/7.44 fof(f23169,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_208)), 56.55/7.44 inference(resolution,[],[f2212,f2663])). 56.55/7.44 fof(f2663,plain,( 56.55/7.44 ~is_a_theorem(sK15) | spl94_208), 56.55/7.44 inference(avatar_component_clause,[],[f2661])). 56.55/7.44 fof(f2661,plain,( 56.55/7.44 spl94_208 <=> is_a_theorem(sK15)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_208])])). 56.55/7.44 fof(f23219,plain,( 56.55/7.44 ~spl94_180 | spl94_207), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23170])). 56.55/7.44 fof(f23170,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_207)), 56.55/7.44 inference(resolution,[],[f2212,f2611])). 56.55/7.44 fof(f2611,plain,( 56.55/7.44 ~is_a_theorem(sK16) | spl94_207), 56.55/7.44 inference(avatar_component_clause,[],[f2609])). 56.55/7.44 fof(f2609,plain,( 56.55/7.44 spl94_207 <=> is_a_theorem(sK16)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_207])])). 56.55/7.44 fof(f23218,plain,( 56.55/7.44 spl94_173 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23171])). 56.55/7.44 fof(f23171,plain,( 56.55/7.44 $false | (spl94_173 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f2162])). 56.55/7.44 fof(f2162,plain,( 56.55/7.44 ~is_a_theorem(sK17) | spl94_173), 56.55/7.44 inference(avatar_component_clause,[],[f2160])). 56.55/7.44 fof(f2160,plain,( 56.55/7.44 spl94_173 <=> is_a_theorem(sK17)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_173])])). 56.55/7.44 fof(f23217,plain,( 56.55/7.44 ~spl94_180 | spl94_259), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23172])). 56.55/7.44 fof(f23172,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_259)), 56.55/7.44 inference(resolution,[],[f2212,f4270])). 56.55/7.44 fof(f4270,plain,( 56.55/7.44 ~is_a_theorem(sK18) | spl94_259), 56.55/7.44 inference(avatar_component_clause,[],[f4268])). 56.55/7.44 fof(f4268,plain,( 56.55/7.44 spl94_259 <=> is_a_theorem(sK18)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_259])])). 56.55/7.44 fof(f23216,plain,( 56.55/7.44 spl94_30 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23173])). 56.55/7.44 fof(f23173,plain,( 56.55/7.44 $false | (spl94_30 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f649])). 56.55/7.44 fof(f649,plain,( 56.55/7.44 ~is_a_theorem(sK19) | spl94_30), 56.55/7.44 inference(avatar_component_clause,[],[f648])). 56.55/7.44 fof(f648,plain,( 56.55/7.44 spl94_30 <=> is_a_theorem(sK19)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_30])])). 56.55/7.44 fof(f23215,plain,( 56.55/7.44 spl94_32 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23174])). 56.55/7.44 fof(f23174,plain,( 56.55/7.44 $false | (spl94_32 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f658])). 56.55/7.44 fof(f658,plain,( 56.55/7.44 ~is_a_theorem(sK20) | spl94_32), 56.55/7.44 inference(avatar_component_clause,[],[f657])). 56.55/7.44 fof(f657,plain,( 56.55/7.44 spl94_32 <=> is_a_theorem(sK20)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_32])])). 56.55/7.44 fof(f23214,plain,( 56.55/7.44 ~spl94_180 | spl94_210), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23175])). 56.55/7.44 fof(f23175,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_210)), 56.55/7.44 inference(resolution,[],[f2212,f2724])). 56.55/7.44 fof(f2724,plain,( 56.55/7.44 ~is_a_theorem(sK21) | spl94_210), 56.55/7.44 inference(avatar_component_clause,[],[f2722])). 56.55/7.44 fof(f2722,plain,( 56.55/7.44 spl94_210 <=> is_a_theorem(sK21)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_210])])). 56.55/7.44 fof(f23213,plain,( 56.55/7.44 ~spl94_180 | spl94_219), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23176])). 56.55/7.44 fof(f23176,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_219)), 56.55/7.44 inference(resolution,[],[f2212,f2856])). 56.55/7.44 fof(f2856,plain,( 56.55/7.44 ~is_a_theorem(sK22) | spl94_219), 56.55/7.44 inference(avatar_component_clause,[],[f2854])). 56.55/7.44 fof(f2854,plain,( 56.55/7.44 spl94_219 <=> is_a_theorem(sK22)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_219])])). 56.55/7.44 fof(f23212,plain,( 56.55/7.44 ~spl94_180 | spl94_218), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23177])). 56.55/7.44 fof(f23177,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_218)), 56.55/7.44 inference(resolution,[],[f2212,f2852])). 56.55/7.44 fof(f2852,plain,( 56.55/7.44 ~is_a_theorem(sK23) | spl94_218), 56.55/7.44 inference(avatar_component_clause,[],[f2850])). 56.55/7.44 fof(f2850,plain,( 56.55/7.44 spl94_218 <=> is_a_theorem(sK23)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_218])])). 56.55/7.44 fof(f23211,plain,( 56.55/7.44 spl94_132 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23178])). 56.55/7.44 fof(f23178,plain,( 56.55/7.44 $false | (spl94_132 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1251])). 56.55/7.44 fof(f1251,plain,( 56.55/7.44 ~is_a_theorem(sK26) | spl94_132), 56.55/7.44 inference(avatar_component_clause,[],[f1249])). 56.55/7.44 fof(f1249,plain,( 56.55/7.44 spl94_132 <=> is_a_theorem(sK26)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_132])])). 56.55/7.44 fof(f23210,plain,( 56.55/7.44 spl94_144 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23179])). 56.55/7.44 fof(f23179,plain,( 56.55/7.44 $false | (spl94_144 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1381])). 56.55/7.44 fof(f1381,plain,( 56.55/7.44 ~is_a_theorem(sK27) | spl94_144), 56.55/7.44 inference(avatar_component_clause,[],[f1379])). 56.55/7.44 fof(f1379,plain,( 56.55/7.44 spl94_144 <=> is_a_theorem(sK27)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_144])])). 56.55/7.44 fof(f23209,plain,( 56.55/7.44 spl94_142 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23180])). 56.55/7.44 fof(f23180,plain,( 56.55/7.44 $false | (spl94_142 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1328])). 56.55/7.44 fof(f1328,plain,( 56.55/7.44 ~is_a_theorem(sK28) | spl94_142), 56.55/7.44 inference(avatar_component_clause,[],[f1326])). 56.55/7.44 fof(f1326,plain,( 56.55/7.44 spl94_142 <=> is_a_theorem(sK28)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_142])])). 56.55/7.44 fof(f23208,plain,( 56.55/7.44 spl94_146 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23181])). 56.55/7.44 fof(f23181,plain,( 56.55/7.44 $false | (spl94_146 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1390])). 56.55/7.44 fof(f1390,plain,( 56.55/7.44 ~is_a_theorem(sK29) | spl94_146), 56.55/7.44 inference(avatar_component_clause,[],[f1388])). 56.55/7.44 fof(f1388,plain,( 56.55/7.44 spl94_146 <=> is_a_theorem(sK29)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_146])])). 56.55/7.44 fof(f23207,plain,( 56.55/7.44 ~spl94_180 | spl94_249), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23182])). 56.55/7.44 fof(f23182,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_249)), 56.55/7.44 inference(resolution,[],[f2212,f3767])). 56.55/7.44 fof(f3767,plain,( 56.55/7.44 ~is_a_theorem(sK30) | spl94_249), 56.55/7.44 inference(avatar_component_clause,[],[f3765])). 56.55/7.44 fof(f3765,plain,( 56.55/7.44 spl94_249 <=> is_a_theorem(sK30)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_249])])). 56.55/7.44 fof(f23206,plain,( 56.55/7.44 ~spl94_180 | spl94_216), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23183])). 56.55/7.44 fof(f23183,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_216)), 56.55/7.44 inference(resolution,[],[f2212,f2830])). 56.55/7.44 fof(f2830,plain,( 56.55/7.44 ~is_a_theorem(sK31) | spl94_216), 56.55/7.44 inference(avatar_component_clause,[],[f2828])). 56.55/7.44 fof(f2828,plain,( 56.55/7.44 spl94_216 <=> is_a_theorem(sK31)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_216])])). 56.55/7.44 fof(f23205,plain,( 56.55/7.44 ~spl94_180 | spl94_215), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23184])). 56.55/7.44 fof(f23184,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_215)), 56.55/7.44 inference(resolution,[],[f2212,f2826])). 56.55/7.44 fof(f2826,plain,( 56.55/7.44 ~is_a_theorem(sK32) | spl94_215), 56.55/7.44 inference(avatar_component_clause,[],[f2824])). 56.55/7.44 fof(f2824,plain,( 56.55/7.44 spl94_215 <=> is_a_theorem(sK32)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_215])])). 56.55/7.44 fof(f23204,plain,( 56.55/7.44 spl94_138 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23185])). 56.55/7.44 fof(f23185,plain,( 56.55/7.44 $false | (spl94_138 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1292])). 56.55/7.44 fof(f1292,plain,( 56.55/7.44 ~is_a_theorem(sK35) | spl94_138), 56.55/7.44 inference(avatar_component_clause,[],[f1290])). 56.55/7.44 fof(f1290,plain,( 56.55/7.44 spl94_138 <=> is_a_theorem(sK35)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_138])])). 56.55/7.44 fof(f23203,plain,( 56.55/7.44 spl94_116 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23186])). 56.55/7.44 fof(f23186,plain,( 56.55/7.44 $false | (spl94_116 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1169])). 56.55/7.44 fof(f1169,plain,( 56.55/7.44 ~is_a_theorem(sK56) | spl94_116), 56.55/7.44 inference(avatar_component_clause,[],[f1167])). 56.55/7.44 fof(f1167,plain,( 56.55/7.44 spl94_116 <=> is_a_theorem(sK56)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_116])])). 56.55/7.44 fof(f23202,plain,( 56.55/7.44 spl94_96 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23187])). 56.55/7.44 fof(f23187,plain,( 56.55/7.44 $false | (spl94_96 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f1018])). 56.55/7.44 fof(f1018,plain,( 56.55/7.44 ~is_a_theorem(sK58) | spl94_96), 56.55/7.44 inference(avatar_component_clause,[],[f1016])). 56.55/7.44 fof(f1016,plain,( 56.55/7.44 spl94_96 <=> is_a_theorem(sK58)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_96])])). 56.55/7.44 fof(f23201,plain,( 56.55/7.44 ~spl94_180 | spl94_187), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23188])). 56.55/7.44 fof(f23188,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_187)), 56.55/7.44 inference(resolution,[],[f2212,f2274])). 56.55/7.44 fof(f2274,plain,( 56.55/7.44 ~is_a_theorem(sK70) | spl94_187), 56.55/7.44 inference(avatar_component_clause,[],[f2272])). 56.55/7.44 fof(f2272,plain,( 56.55/7.44 spl94_187 <=> is_a_theorem(sK70)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_187])])). 56.55/7.44 fof(f23200,plain,( 56.55/7.44 ~spl94_180 | spl94_188), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23189])). 56.55/7.44 fof(f23189,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_188)), 56.55/7.44 inference(resolution,[],[f2212,f2278])). 56.55/7.44 fof(f2278,plain,( 56.55/7.44 ~is_a_theorem(sK71) | spl94_188), 56.55/7.44 inference(avatar_component_clause,[],[f2276])). 56.55/7.44 fof(f2276,plain,( 56.55/7.44 spl94_188 <=> is_a_theorem(sK71)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_188])])). 56.55/7.44 fof(f23199,plain,( 56.55/7.44 ~spl94_180 | spl94_455), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23190])). 56.55/7.44 fof(f23190,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_455)), 56.55/7.44 inference(resolution,[],[f2212,f16843])). 56.55/7.44 fof(f16843,plain,( 56.55/7.44 ~is_a_theorem(sK79) | spl94_455), 56.55/7.44 inference(avatar_component_clause,[],[f16841])). 56.55/7.44 fof(f16841,plain,( 56.55/7.44 spl94_455 <=> is_a_theorem(sK79)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_455])])). 56.55/7.44 fof(f23198,plain,( 56.55/7.44 spl94_88 | ~spl94_180), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23191])). 56.55/7.44 fof(f23191,plain,( 56.55/7.44 $false | (spl94_88 | ~spl94_180)), 56.55/7.44 inference(resolution,[],[f2212,f936])). 56.55/7.44 fof(f936,plain,( 56.55/7.44 ~is_a_theorem(sK81) | spl94_88), 56.55/7.44 inference(avatar_component_clause,[],[f934])). 56.55/7.44 fof(f934,plain,( 56.55/7.44 spl94_88 <=> is_a_theorem(sK81)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_88])])). 56.55/7.44 fof(f23197,plain,( 56.55/7.44 ~spl94_180 | spl94_201), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23192])). 56.55/7.44 fof(f23192,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_201)), 56.55/7.44 inference(resolution,[],[f2212,f2468])). 56.55/7.44 fof(f2468,plain,( 56.55/7.44 ~is_a_theorem(sK82) | spl94_201), 56.55/7.44 inference(avatar_component_clause,[],[f2466])). 56.55/7.44 fof(f2466,plain,( 56.55/7.44 spl94_201 <=> is_a_theorem(sK82)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_201])])). 56.55/7.44 fof(f23196,plain,( 56.55/7.44 ~spl94_180 | spl94_247), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23193])). 56.55/7.44 fof(f23193,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_247)), 56.55/7.44 inference(resolution,[],[f2212,f3633])). 56.55/7.44 fof(f3633,plain,( 56.55/7.44 ~is_a_theorem(sK83) | spl94_247), 56.55/7.44 inference(avatar_component_clause,[],[f3631])). 56.55/7.44 fof(f3631,plain,( 56.55/7.44 spl94_247 <=> is_a_theorem(sK83)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_247])])). 56.55/7.44 fof(f23195,plain,( 56.55/7.44 ~spl94_180 | spl94_203), 56.55/7.44 inference(avatar_contradiction_clause,[],[f23194])). 56.55/7.44 fof(f23194,plain,( 56.55/7.44 $false | (~spl94_180 | spl94_203)), 56.55/7.44 inference(resolution,[],[f2212,f2478])). 56.55/7.44 fof(f2478,plain,( 56.55/7.44 ~is_a_theorem(sK84) | spl94_203), 56.55/7.44 inference(avatar_component_clause,[],[f2476])). 56.55/7.44 fof(f2476,plain,( 56.55/7.44 spl94_203 <=> is_a_theorem(sK84)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_203])])). 56.55/7.44 fof(f22984,plain,( 56.55/7.44 spl94_510 | spl94_180 | ~spl94_397 | ~spl94_412), 56.55/7.44 inference(avatar_split_clause,[],[f12712,f12347,f10517,f2211,f22982])). 56.55/7.44 fof(f22982,plain,( 56.55/7.44 spl94_510 <=> ! [X19] : ~is_a_theorem(and(X19,not(sK80)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_510])])). 56.55/7.44 fof(f12712,plain,( 56.55/7.44 ( ! [X19,X20] : (is_a_theorem(X20) | ~is_a_theorem(and(X19,not(sK80)))) ) | (~spl94_397 | ~spl94_412)), 56.55/7.44 inference(forward_demodulation,[],[f12674,f10518])). 56.55/7.44 fof(f12674,plain,( 56.55/7.44 ( ! [X19,X20] : (is_a_theorem(implies(sK80,X20)) | ~is_a_theorem(and(X19,not(sK80)))) ) | ~spl94_412), 56.55/7.44 inference(superposition,[],[f1693,f12348])). 56.55/7.44 fof(f22980,plain,( 56.55/7.44 spl94_509 | ~spl94_397 | ~spl94_408 | ~spl94_411), 56.55/7.44 inference(avatar_split_clause,[],[f12639,f12343,f12160,f10517,f22978])). 56.55/7.44 fof(f22978,plain,( 56.55/7.44 spl94_509 <=> ! [X36] : not(sK80) = and(X36,not(X36))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_509])])). 56.55/7.44 fof(f12160,plain,( 56.55/7.44 spl94_408 <=> ! [X1] : sK80 = equiv(X1,X1)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_408])])). 56.55/7.44 fof(f12639,plain,( 56.55/7.44 ( ! [X36] : (not(sK80) = and(X36,not(X36))) ) | (~spl94_397 | ~spl94_408 | ~spl94_411)), 56.55/7.44 inference(forward_demodulation,[],[f12638,f12161])). 56.55/7.44 fof(f12161,plain,( 56.55/7.44 ( ! [X1] : (sK80 = equiv(X1,X1)) ) | ~spl94_408), 56.55/7.44 inference(avatar_component_clause,[],[f12160])). 56.55/7.44 fof(f12638,plain,( 56.55/7.44 ( ! [X36] : (and(X36,not(X36)) = not(equiv(X36,X36))) ) | (~spl94_397 | ~spl94_411)), 56.55/7.44 inference(forward_demodulation,[],[f12592,f10518])). 56.55/7.44 fof(f12592,plain,( 56.55/7.44 ( ! [X36] : (not(equiv(X36,X36)) = implies(sK80,and(X36,not(X36)))) ) | ~spl94_411), 56.55/7.44 inference(superposition,[],[f1754,f12344])). 56.55/7.44 fof(f22976,plain,( 56.55/7.44 spl94_508 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f6287,f4205,f22974])). 56.55/7.44 fof(f22974,plain,( 56.55/7.44 spl94_508 <=> ! [X69,X68] : is_a_theorem(strict_implies(not(equiv(X69,X68)),not(equiv(X68,X69))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_508])])). 56.55/7.44 fof(f6287,plain,( 56.55/7.44 ( ! [X68,X69] : (is_a_theorem(strict_implies(not(equiv(X69,X68)),not(equiv(X68,X69))))) ) | ~spl94_257), 56.55/7.44 inference(forward_demodulation,[],[f6286,f1754])). 56.55/7.44 fof(f6286,plain,( 56.55/7.44 ( ! [X68,X69] : (is_a_theorem(strict_implies(implies(implies(X69,X68),and(X68,not(X69))),not(equiv(X68,X69))))) ) | ~spl94_257), 56.55/7.44 inference(forward_demodulation,[],[f6285,f5187])). 56.55/7.44 fof(f6285,plain,( 56.55/7.44 ( ! [X68,X69] : (is_a_theorem(strict_implies(implies(implies(X69,X68),not(implies(X68,X69))),not(equiv(X68,X69))))) )), 56.55/7.44 inference(forward_demodulation,[],[f6222,f975])). 56.55/7.44 fof(f6222,plain,( 56.55/7.44 ( ! [X68,X69] : (is_a_theorem(strict_implies(or(and(X69,not(X68)),not(implies(X68,X69))),not(equiv(X68,X69))))) )), 56.55/7.44 inference(superposition,[],[f1087,f1754])). 56.55/7.44 fof(f22755,plain,( 56.55/7.44 ~spl94_507 | spl94_184), 56.55/7.44 inference(avatar_split_clause,[],[f22602,f2230,f22752])). 56.55/7.44 fof(f22602,plain,( 56.55/7.44 ~is_a_theorem(implies(or(sK82,sK83),sK82)) | spl94_184), 56.55/7.44 inference(resolution,[],[f3949,f2232])). 56.55/7.44 fof(f22750,plain,( 56.55/7.44 ~spl94_506 | spl94_184), 56.55/7.44 inference(avatar_split_clause,[],[f22542,f2230,f22747])). 56.55/7.44 fof(f22542,plain,( 56.55/7.44 ~is_a_theorem(implies(or(sK82,sK83),sK84)) | spl94_184), 56.55/7.44 inference(resolution,[],[f3947,f2232])). 56.55/7.44 fof(f22657,plain,( 56.55/7.44 ~spl94_505 | spl94_339), 56.55/7.44 inference(avatar_split_clause,[],[f22604,f7310,f22654])). 56.55/7.44 fof(f22604,plain,( 56.55/7.44 ~is_a_theorem(implies(sK83,sK82)) | spl94_339), 56.55/7.44 inference(resolution,[],[f3949,f7312])). 56.55/7.44 fof(f22594,plain,( 56.55/7.44 ~spl94_504 | spl94_339), 56.55/7.44 inference(avatar_split_clause,[],[f22544,f7310,f22591])). 56.55/7.44 fof(f22544,plain,( 56.55/7.44 ~is_a_theorem(implies(sK83,sK84)) | spl94_339), 56.55/7.44 inference(resolution,[],[f3947,f7312])). 56.55/7.44 fof(f21557,plain,( 56.55/7.44 spl94_503 | ~spl94_189), 56.55/7.44 inference(avatar_split_clause,[],[f2961,f2281,f21555])). 56.55/7.44 fof(f21555,plain,( 56.55/7.44 spl94_503 <=> ! [X0,X1] : is_a_theorem(strict_equiv(implies(X0,X1),implies(X0,implies(X0,X1))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_503])])). 56.55/7.44 fof(f2961,plain,( 56.55/7.44 ( ! [X0,X1] : (is_a_theorem(strict_equiv(implies(X0,X1),implies(X0,implies(X0,X1))))) ) | ~spl94_189), 56.55/7.44 inference(subsumption_resolution,[],[f2955,f1079])). 56.55/7.44 fof(f2955,plain,( 56.55/7.44 ( ! [X0,X1] : (~is_a_theorem(strict_implies(implies(X0,X1),implies(X0,implies(X0,X1)))) | is_a_theorem(strict_equiv(implies(X0,X1),implies(X0,implies(X0,X1))))) ) | ~spl94_189), 56.55/7.44 inference(resolution,[],[f1086,f2282])). 56.55/7.44 fof(f1086,plain,( 56.55/7.44 ( ! [X16,X17] : (is_a_theorem(strict_implies(implies(X16,implies(X16,X17)),implies(X16,X17)))) )), 56.55/7.44 inference(resolution,[],[f866,f497])). 56.55/7.44 fof(f21502,plain,( 56.55/7.44 spl94_502 | ~spl94_189), 56.55/7.44 inference(avatar_split_clause,[],[f2286,f2281,f21500])). 56.55/7.44 fof(f2286,plain,( 56.55/7.44 ( ! [X3,X4] : (~is_a_theorem(strict_implies(X3,X4)) | is_a_theorem(strict_equiv(X3,X4)) | ~is_a_theorem(X3)) ) | ~spl94_189), 56.55/7.44 inference(resolution,[],[f2282,f1077])). 56.55/7.44 fof(f20893,plain,( 56.55/7.44 ~spl94_501 | ~spl94_312 | ~spl94_366 | spl94_487), 56.55/7.44 inference(avatar_split_clause,[],[f20834,f20639,f8359,f6140,f20890])). 56.55/7.44 fof(f20834,plain,( 56.55/7.44 ~is_a_theorem(not(strict_implies(sK34,sK35))) | (~spl94_312 | ~spl94_366 | spl94_487)), 56.55/7.44 inference(forward_demodulation,[],[f20833,f8474])). 56.55/7.44 fof(f20833,plain,( 56.55/7.44 ~is_a_theorem(not(possibly(strict_implies(sK34,sK35)))) | (~spl94_312 | spl94_487)), 56.55/7.44 inference(forward_demodulation,[],[f20830,f6141])). 56.55/7.44 fof(f20830,plain,( 56.55/7.44 ~is_a_theorem(necessarily(not(strict_implies(sK34,sK35)))) | spl94_487), 56.55/7.44 inference(resolution,[],[f20641,f3267])). 56.55/7.44 fof(f20839,plain,( 56.55/7.44 ~spl94_500 | spl94_487), 56.55/7.44 inference(avatar_split_clause,[],[f20831,f20639,f20836])). 56.55/7.44 fof(f20831,plain,( 56.55/7.44 ~is_a_theorem(not(strict_implies(sK33,sK34))) | spl94_487), 56.55/7.44 inference(resolution,[],[f20641,f1479])). 56.55/7.44 fof(f20690,plain,( 56.55/7.44 spl94_499 | ~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463), 56.55/7.44 inference(avatar_split_clause,[],[f19583,f19244,f5571,f4210,f2325,f20688])). 56.55/7.44 fof(f19583,plain,( 56.55/7.44 ( ! [X0,X1] : (equiv(X0,X1) = equiv(not(X1),not(X0))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463)), 56.55/7.44 inference(forward_demodulation,[],[f19582,f472])). 56.55/7.44 fof(f19582,plain,( 56.55/7.44 ( ! [X0,X1] : (and(implies(X0,X1),implies(X1,X0)) = equiv(not(X1),not(X0))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463)), 56.55/7.44 inference(forward_demodulation,[],[f19338,f19323])). 56.55/7.44 fof(f19338,plain,( 56.55/7.44 ( ! [X0,X1] : (equiv(not(X1),not(X0)) = and(or(X1,not(X0)),implies(X1,X0))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463)), 56.55/7.44 inference(backward_demodulation,[],[f6059,f19323])). 56.55/7.44 fof(f6059,plain,( 56.55/7.44 ( ! [X0,X1] : (equiv(not(X1),not(X0)) = and(or(X1,not(X0)),or(X0,not(X1)))) )), 56.55/7.44 inference(superposition,[],[f1334,f970])). 56.55/7.44 fof(f20686,plain,( 56.55/7.44 spl94_498 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11807,f11593,f20684])). 56.55/7.44 fof(f20684,plain,( 56.55/7.44 spl94_498 <=> ! [X283] : (sK80 = necessarily(possibly(X283)) | ~is_a_theorem(X283))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_498])])). 56.55/7.44 fof(f11807,plain,( 56.55/7.44 ( ! [X283] : (sK80 = necessarily(possibly(X283)) | ~is_a_theorem(X283)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f870])). 56.55/7.44 fof(f870,plain,( 56.55/7.44 ( ! [X4] : (is_a_theorem(necessarily(possibly(X4))) | ~is_a_theorem(X4)) )), 56.55/7.44 inference(resolution,[],[f489,f490])). 56.55/7.44 fof(f20682,plain,( 56.55/7.44 spl94_497 | ~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463), 56.55/7.44 inference(avatar_split_clause,[],[f19377,f19244,f5571,f4210,f2325,f20680])). 56.55/7.44 fof(f20680,plain,( 56.55/7.44 spl94_497 <=> ! [X2,X3] : is_a_theorem(strict_implies(not(X3),implies(or(X3,X2),X2)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_497])])). 56.55/7.44 fof(f19377,plain,( 56.55/7.44 ( ! [X2,X3] : (is_a_theorem(strict_implies(not(X3),implies(or(X3,X2),X2)))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280 | ~spl94_463)), 56.55/7.44 inference(backward_demodulation,[],[f4556,f19323])). 56.55/7.44 fof(f4556,plain,( 56.55/7.44 ( ! [X2,X3] : (is_a_theorem(strict_implies(not(X3),or(X2,not(or(X3,X2)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f2196,f4554])). 56.55/7.44 fof(f2196,plain,( 56.55/7.44 ( ! [X2,X3] : (is_a_theorem(strict_implies(not(X3),not(and(not(X2),or(X3,X2)))))) )), 56.55/7.44 inference(superposition,[],[f1080,f972])). 56.55/7.44 fof(f1080,plain,( 56.55/7.44 ( ! [X6,X5] : (is_a_theorem(strict_implies(X5,implies(X6,and(X5,X6))))) )), 56.55/7.44 inference(resolution,[],[f866,f484])). 56.55/7.44 fof(f20678,plain,( 56.55/7.44 spl94_496 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11781,f11593,f20676])). 56.55/7.44 fof(f20676,plain,( 56.55/7.44 spl94_496 <=> ! [X230,X231] : sK80 = strict_implies(and(X230,X231),X231)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_496])])). 56.55/7.44 fof(f11781,plain,( 56.55/7.44 ( ! [X230,X231] : (sK80 = strict_implies(and(X230,X231),X231)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f1085])). 56.55/7.44 fof(f1085,plain,( 56.55/7.44 ( ! [X14,X15] : (is_a_theorem(strict_implies(and(X14,X15),X15))) )), 56.55/7.44 inference(resolution,[],[f866,f494])). 56.55/7.44 fof(f20674,plain,( 56.55/7.44 spl94_495 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11780,f11593,f20672])). 56.55/7.44 fof(f20672,plain,( 56.55/7.44 spl94_495 <=> ! [X229,X228] : sK80 = strict_implies(and(X228,X229),X228)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_495])])). 56.55/7.44 fof(f11780,plain,( 56.55/7.44 ( ! [X228,X229] : (sK80 = strict_implies(and(X228,X229),X228)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f1084])). 56.55/7.44 fof(f1084,plain,( 56.55/7.44 ( ! [X12,X13] : (is_a_theorem(strict_implies(and(X12,X13),X12))) )), 56.55/7.44 inference(resolution,[],[f866,f483])). 56.55/7.44 fof(f20670,plain,( 56.55/7.44 spl94_494 | ~spl94_288), 56.55/7.44 inference(avatar_split_clause,[],[f5809,f5775,f20668])). 56.55/7.44 fof(f20668,plain,( 56.55/7.44 spl94_494 <=> ! [X0,X1] : (~is_a_theorem(not(X0)) | is_a_theorem(implies(or(X0,X1),X1)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_494])])). 56.55/7.44 fof(f5809,plain,( 56.55/7.44 ( ! [X0,X1] : (~is_a_theorem(not(X0)) | is_a_theorem(implies(or(X0,X1),X1))) ) | ~spl94_288), 56.55/7.44 inference(resolution,[],[f5776,f1004])). 56.55/7.44 fof(f20666,plain,( 56.55/7.44 spl94_493 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11778,f11593,f20664])). 56.55/7.44 fof(f20664,plain,( 56.55/7.44 spl94_493 <=> ! [X226] : sK80 = strict_implies(X226,necessarily(possibly(X226)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_493])])). 56.55/7.44 fof(f11778,plain,( 56.55/7.44 ( ! [X226] : (sK80 = strict_implies(X226,necessarily(possibly(X226)))) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f1083])). 56.55/7.44 fof(f1083,plain,( 56.55/7.44 ( ! [X11] : (is_a_theorem(strict_implies(X11,necessarily(possibly(X11))))) )), 56.55/7.44 inference(resolution,[],[f866,f490])). 56.55/7.44 fof(f20662,plain,( 56.55/7.44 spl94_492 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f5246,f4205,f20660])). 56.55/7.44 fof(f20660,plain,( 56.55/7.44 spl94_492 <=> ! [X13,X14] : is_a_theorem(strict_implies(not(possibly(X13)),implies(possibly(X13),X14)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_492])])). 56.55/7.44 fof(f5246,plain,( 56.55/7.44 ( ! [X14,X13] : (is_a_theorem(strict_implies(not(possibly(X13)),implies(possibly(X13),X14)))) ) | ~spl94_257), 56.55/7.44 inference(backward_demodulation,[],[f1537,f5186])). 56.55/7.44 fof(f1537,plain,( 56.55/7.44 ( ! [X14,X13] : (is_a_theorem(strict_implies(necessarily(not(X13)),implies(possibly(X13),X14)))) )), 56.55/7.44 inference(superposition,[],[f1082,f974])). 56.55/7.44 fof(f20658,plain,( 56.55/7.44 spl94_491 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11776,f11593,f20656])). 56.55/7.44 fof(f20656,plain,( 56.55/7.44 spl94_491 <=> ! [X224,X223] : sK80 = strict_implies(X223,or(X223,X224))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_491])])). 56.55/7.44 fof(f11776,plain,( 56.55/7.44 ( ! [X224,X223] : (sK80 = strict_implies(X223,or(X223,X224))) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f1082])). 56.55/7.44 fof(f20654,plain,( 56.55/7.44 spl94_490 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11775,f11593,f20652])). 56.55/7.44 fof(f20652,plain,( 56.55/7.44 spl94_490 <=> ! [X221,X222] : sK80 = strict_implies(X221,or(X222,X221))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_490])])). 56.55/7.44 fof(f11775,plain,( 56.55/7.44 ( ! [X222,X221] : (sK80 = strict_implies(X221,or(X222,X221))) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f1081])). 56.55/7.44 fof(f1081,plain,( 56.55/7.44 ( ! [X8,X7] : (is_a_theorem(strict_implies(X7,or(X8,X7)))) )), 56.55/7.44 inference(resolution,[],[f866,f481])). 56.55/7.44 fof(f20650,plain,( 56.55/7.44 spl94_489 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f5240,f4205,f20648])). 56.55/7.44 fof(f20648,plain,( 56.55/7.44 spl94_489 <=> ! [X1] : (~is_a_theorem(not(possibly(X1))) | is_a_theorem(not(necessarily(possibly(X1)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_489])])). 56.55/7.44 fof(f5240,plain,( 56.55/7.44 ( ! [X1] : (~is_a_theorem(not(possibly(X1))) | is_a_theorem(not(necessarily(possibly(X1))))) ) | ~spl94_257), 56.55/7.44 inference(backward_demodulation,[],[f1443,f5186])). 56.55/7.44 fof(f1443,plain,( 56.55/7.44 ( ! [X1] : (is_a_theorem(not(necessarily(possibly(X1)))) | ~is_a_theorem(necessarily(not(X1)))) )), 56.55/7.44 inference(superposition,[],[f902,f748])). 56.55/7.44 fof(f902,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(possibly(X0)) | ~is_a_theorem(X0)) )), 56.55/7.44 inference(resolution,[],[f870,f876])). 56.55/7.44 fof(f20646,plain,( 56.55/7.44 spl94_488 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11773,f11593,f20644])). 56.55/7.44 fof(f20644,plain,( 56.55/7.44 spl94_488 <=> ! [X217,X218] : sK80 = strict_implies(X217,implies(X218,X217))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_488])])). 56.55/7.44 fof(f11773,plain,( 56.55/7.44 ( ! [X218,X217] : (sK80 = strict_implies(X217,implies(X218,X217))) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f1079])). 56.55/7.44 fof(f20642,plain,( 56.55/7.44 ~spl94_487 | spl94_136 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4681,f4210,f2325,f1275,f20639])). 56.55/7.44 fof(f4681,plain,( 56.55/7.44 ~is_a_theorem(implies(strict_implies(sK33,sK34),not(strict_implies(sK34,sK35)))) | (spl94_136 | ~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1496,f4604])). 56.55/7.44 fof(f1496,plain,( 56.55/7.44 ~is_a_theorem(not(and(strict_implies(sK33,sK34),strict_implies(sK34,sK35)))) | spl94_136), 56.55/7.44 inference(resolution,[],[f1479,f1277])). 56.55/7.44 fof(f20637,plain,( 56.55/7.44 spl94_486 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11771,f11593,f20635])). 56.55/7.44 fof(f20635,plain,( 56.55/7.44 spl94_486 <=> ! [X214,X213] : (sK80 = strict_implies(X213,X214) | ~is_a_theorem(X214))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_486])])). 56.55/7.44 fof(f11771,plain,( 56.55/7.44 ( ! [X213,X214] : (sK80 = strict_implies(X213,X214) | ~is_a_theorem(X214)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f1077])). 56.55/7.44 fof(f20633,plain,( 56.55/7.44 spl94_485 | ~spl94_286 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11765,f11593,f5761,f20631])). 56.55/7.44 fof(f20631,plain,( 56.55/7.44 spl94_485 <=> ! [X207] : (sK80 = possibly(possibly(X207)) | ~is_a_theorem(X207))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_485])])). 56.55/7.44 fof(f5761,plain,( 56.55/7.44 spl94_286 <=> ! [X2] : (is_a_theorem(possibly(possibly(X2))) | ~is_a_theorem(X2))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_286])])). 56.55/7.44 fof(f11765,plain,( 56.55/7.44 ( ! [X207] : (sK80 = possibly(possibly(X207)) | ~is_a_theorem(X207)) ) | (~spl94_286 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f11594,f5762])). 56.55/7.44 fof(f5762,plain,( 56.55/7.44 ( ! [X2] : (is_a_theorem(possibly(possibly(X2))) | ~is_a_theorem(X2)) ) | ~spl94_286), 56.55/7.44 inference(avatar_component_clause,[],[f5761])). 56.55/7.44 fof(f20598,plain,( 56.55/7.44 spl94_484 | ~spl94_329 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11759,f11593,f6496,f20596])). 56.55/7.44 fof(f6496,plain,( 56.55/7.44 spl94_329 <=> ! [X0] : is_a_theorem(or(possibly(X0),not(X0)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_329])])). 56.55/7.44 fof(f11759,plain,( 56.55/7.44 ( ! [X200] : (sK80 = or(possibly(X200),not(X200))) ) | (~spl94_329 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f11594,f6497])). 56.55/7.44 fof(f6497,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(or(possibly(X0),not(X0)))) ) | ~spl94_329), 56.55/7.44 inference(avatar_component_clause,[],[f6496])). 56.55/7.44 fof(f20542,plain,( 56.55/7.44 spl94_483 | ~spl94_333 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11747,f11593,f6607,f20540])). 56.55/7.44 fof(f6607,plain,( 56.55/7.44 spl94_333 <=> ! [X0] : is_a_theorem(or(X0,not(necessarily(X0))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_333])])). 56.55/7.44 fof(f11747,plain,( 56.55/7.44 ( ! [X170] : (sK80 = or(X170,not(necessarily(X170)))) ) | (~spl94_333 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f11594,f6608])). 56.55/7.44 fof(f6608,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(or(X0,not(necessarily(X0))))) ) | ~spl94_333), 56.55/7.44 inference(avatar_component_clause,[],[f6607])). 56.55/7.44 fof(f20538,plain,( 56.55/7.44 spl94_482 | ~spl94_277 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11744,f11593,f5525,f20536])). 56.55/7.44 fof(f20536,plain,( 56.55/7.44 spl94_482 <=> ! [X166,X165] : sK80 = or(X165,implies(X165,X166))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_482])])). 56.55/7.44 fof(f5525,plain,( 56.55/7.44 spl94_277 <=> ! [X59,X58] : is_a_theorem(or(X58,implies(X58,X59)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_277])])). 56.55/7.44 fof(f11744,plain,( 56.55/7.44 ( ! [X166,X165] : (sK80 = or(X165,implies(X165,X166))) ) | (~spl94_277 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f11594,f5526])). 56.55/7.44 fof(f5526,plain,( 56.55/7.44 ( ! [X58,X59] : (is_a_theorem(or(X58,implies(X58,X59)))) ) | ~spl94_277), 56.55/7.44 inference(avatar_component_clause,[],[f5525])). 56.55/7.44 fof(f20520,plain,( 56.55/7.44 spl94_481 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11740,f11593,f20518])). 56.55/7.44 fof(f20518,plain,( 56.55/7.44 spl94_481 <=> ! [X157,X158] : (sK80 = or(X157,X158) | ~is_a_theorem(X158))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_481])])). 56.55/7.44 fof(f11740,plain,( 56.55/7.44 ( ! [X158,X157] : (sK80 = or(X157,X158) | ~is_a_theorem(X158)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f868])). 56.55/7.44 fof(f20502,plain,( 56.55/7.44 spl94_480 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11739,f11593,f20500])). 56.55/7.44 fof(f20500,plain,( 56.55/7.44 spl94_480 <=> ! [X156,X155] : (sK80 = or(X155,X156) | ~is_a_theorem(X155))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_480])])). 56.55/7.44 fof(f11739,plain,( 56.55/7.44 ( ! [X155,X156] : (sK80 = or(X155,X156) | ~is_a_theorem(X155)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f869])). 56.55/7.44 fof(f20498,plain,( 56.55/7.44 spl94_479 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11687,f11593,f20496])). 56.55/7.44 fof(f11687,plain,( 56.55/7.44 ( ! [X26,X27] : (sK80 = implies(and(X26,X27),X27)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f494])). 56.55/7.44 fof(f20450,plain,( 56.55/7.44 spl94_478 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11686,f11593,f20448])). 56.55/7.44 fof(f11686,plain,( 56.55/7.44 ( ! [X24,X25] : (sK80 = implies(and(X24,X25),X24)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f483])). 56.55/7.44 fof(f20446,plain,( 56.55/7.44 spl94_477 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_463), 56.55/7.44 inference(avatar_split_clause,[],[f19556,f19244,f5571,f4210,f4205,f2325,f20444])). 56.55/7.44 fof(f19556,plain,( 56.55/7.44 ( ! [X51,X52] : (is_a_theorem(implies(equiv(X51,X52),equiv(X52,X51)))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_463)), 56.55/7.44 inference(backward_demodulation,[],[f6279,f19323])). 56.55/7.44 fof(f6279,plain,( 56.55/7.44 ( ! [X51,X52] : (is_a_theorem(or(equiv(X52,X51),not(equiv(X51,X52))))) ) | ~spl94_257), 56.55/7.44 inference(forward_demodulation,[],[f6278,f472])). 56.55/7.44 fof(f6278,plain,( 56.55/7.44 ( ! [X51,X52] : (is_a_theorem(or(and(implies(X52,X51),implies(X51,X52)),not(equiv(X51,X52))))) ) | ~spl94_257), 56.55/7.44 inference(forward_demodulation,[],[f6277,f5200])). 56.55/7.44 fof(f6277,plain,( 56.55/7.44 ( ! [X51,X52] : (is_a_theorem(implies(implies(implies(X52,X51),not(implies(X51,X52))),not(equiv(X51,X52))))) )), 56.55/7.44 inference(forward_demodulation,[],[f6215,f975])). 56.55/7.44 fof(f6215,plain,( 56.55/7.44 ( ! [X51,X52] : (is_a_theorem(implies(or(and(X52,not(X51)),not(implies(X51,X52))),not(equiv(X51,X52))))) )), 56.55/7.44 inference(superposition,[],[f979,f1754])). 56.55/7.44 fof(f20442,plain,( 56.55/7.44 spl94_476 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11684,f11593,f20440])). 56.55/7.44 fof(f20440,plain,( 56.55/7.44 spl94_476 <=> ! [X22] : sK80 = implies(X22,necessarily(possibly(X22)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_476])])). 56.55/7.44 fof(f11684,plain,( 56.55/7.44 ( ! [X22] : (sK80 = implies(X22,necessarily(possibly(X22)))) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f490])). 56.55/7.44 fof(f20438,plain,( 56.55/7.44 spl94_475 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11682,f11593,f20436])). 56.55/7.44 fof(f20436,plain,( 56.55/7.44 spl94_475 <=> ! [X20,X19] : sK80 = implies(X19,or(X19,X20))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_475])])). 56.55/7.44 fof(f11682,plain,( 56.55/7.44 ( ! [X19,X20] : (sK80 = implies(X19,or(X19,X20))) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f482])). 56.55/7.44 fof(f20326,plain,( 56.55/7.44 spl94_474 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11680,f11593,f20324])). 56.55/7.44 fof(f20324,plain,( 56.55/7.44 spl94_474 <=> ! [X16,X15] : sK80 = implies(X15,or(X16,X15))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_474])])). 56.55/7.44 fof(f11680,plain,( 56.55/7.44 ( ! [X16,X15] : (sK80 = implies(X15,or(X16,X15))) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f481])). 56.55/7.44 fof(f20322,plain,( 56.55/7.44 spl94_473 | ~spl94_463), 56.55/7.44 inference(avatar_split_clause,[],[f19254,f19244,f20320])). 56.55/7.44 fof(f20320,plain,( 56.55/7.44 spl94_473 <=> ! [X10,X11,X13,X12,X9] : implies(implies(X12,X13),and(not(X9),implies(X10,X11))) = not(and(implies(implies(X10,X11),X9),implies(X12,X13)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_473])])). 56.55/7.44 fof(f19254,plain,( 56.55/7.44 ( ! [X10,X11,X9,X12,X13] : (implies(implies(X12,X13),and(not(X9),implies(X10,X11))) = not(and(implies(implies(X10,X11),X9),implies(X12,X13)))) ) | ~spl94_463), 56.55/7.44 inference(superposition,[],[f19245,f19245])). 56.55/7.44 fof(f20318,plain,( 56.55/7.44 spl94_472 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11678,f11593,f20316])). 56.55/7.44 fof(f20316,plain,( 56.55/7.44 spl94_472 <=> ! [X12,X11] : sK80 = implies(X11,implies(X12,X11))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_472])])). 56.55/7.44 fof(f11678,plain,( 56.55/7.44 ( ! [X11,X12] : (sK80 = implies(X11,implies(X12,X11))) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f493])). 56.55/7.44 fof(f20314,plain,( 56.55/7.44 spl94_471 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11676,f11593,f20312])). 56.55/7.44 fof(f20312,plain,( 56.55/7.44 spl94_471 <=> ! [X8,X7] : (sK80 = implies(X7,X8) | ~is_a_theorem(X8))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_471])])). 56.55/7.44 fof(f11676,plain,( 56.55/7.44 ( ! [X8,X7] : (sK80 = implies(X7,X8) | ~is_a_theorem(X8)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f871])). 56.55/7.44 fof(f20093,plain,( 56.55/7.44 spl94_470 | ~spl94_257 | ~spl94_451), 56.55/7.44 inference(avatar_split_clause,[],[f16776,f16755,f4205,f20091])). 56.55/7.44 fof(f20091,plain,( 56.55/7.44 spl94_470 <=> ! [X53] : not(sK80) = equiv(X53,not(X53))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_470])])). 56.55/7.44 fof(f16755,plain,( 56.55/7.44 spl94_451 <=> ! [X2] : not(sK80) = equiv(not(X2),X2)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_451])])). 56.55/7.44 fof(f16776,plain,( 56.55/7.44 ( ! [X53] : (not(sK80) = equiv(X53,not(X53))) ) | (~spl94_257 | ~spl94_451)), 56.55/7.44 inference(superposition,[],[f16756,f4206])). 56.55/7.44 fof(f16756,plain,( 56.55/7.44 ( ! [X2] : (not(sK80) = equiv(not(X2),X2)) ) | ~spl94_451), 56.55/7.44 inference(avatar_component_clause,[],[f16755])). 56.55/7.44 fof(f20069,plain,( 56.55/7.44 spl94_469 | ~spl94_463), 56.55/7.44 inference(avatar_split_clause,[],[f19252,f19244,f20067])). 56.55/7.44 fof(f19252,plain,( 56.55/7.44 ( ! [X2,X3,X0,X1] : (implies(implies(X2,X3),and(X0,not(X1))) = not(and(implies(X0,X1),implies(X2,X3)))) ) | ~spl94_463), 56.55/7.44 inference(superposition,[],[f19245,f468])). 56.55/7.44 fof(f20065,plain,( 56.55/7.44 spl94_468 | ~spl94_257 | ~spl94_415 | ~spl94_453), 56.55/7.44 inference(avatar_split_clause,[],[f20003,f16803,f12551,f4205,f20062])). 56.55/7.44 fof(f20062,plain,( 56.55/7.44 spl94_468 <=> not(sK80) = possibly(not(sK80))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_468])])). 56.55/7.44 fof(f12551,plain,( 56.55/7.44 spl94_415 <=> ! [X208] : sK80 = strict_implies(X208,X208)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_415])])). 56.55/7.44 fof(f20003,plain,( 56.55/7.44 not(sK80) = possibly(not(sK80)) | (~spl94_257 | ~spl94_415 | ~spl94_453)), 56.55/7.44 inference(forward_demodulation,[],[f20002,f12552])). 56.55/7.44 fof(f12552,plain,( 56.55/7.44 ( ! [X208] : (sK80 = strict_implies(X208,X208)) ) | ~spl94_415), 56.55/7.44 inference(avatar_component_clause,[],[f12551])). 56.55/7.44 fof(f20002,plain,( 56.55/7.44 ( ! [X18,X19,X20] : (possibly(not(sK80)) = not(strict_implies(and(X18,implies(X19,X20)),and(X18,implies(X19,X20))))) ) | (~spl94_257 | ~spl94_453)), 56.55/7.44 inference(forward_demodulation,[],[f20001,f468])). 56.55/7.44 fof(f20001,plain,( 56.55/7.44 ( ! [X18,X19,X20] : (possibly(not(sK80)) = not(strict_implies(and(X18,not(and(X19,not(X20)))),and(X18,implies(X19,X20))))) ) | (~spl94_257 | ~spl94_453)), 56.55/7.44 inference(forward_demodulation,[],[f19972,f5187])). 56.55/7.44 fof(f19972,plain,( 56.55/7.44 ( ! [X18,X19,X20] : (possibly(not(sK80)) = not(strict_implies(not(implies(X18,and(X19,not(X20)))),and(X18,implies(X19,X20))))) ) | ~spl94_453), 56.55/7.44 inference(superposition,[],[f1760,f16804])). 56.55/7.44 fof(f20060,plain,( 56.55/7.44 spl94_467 | ~spl94_462), 56.55/7.44 inference(avatar_split_clause,[],[f17632,f17454,f20058])). 56.55/7.44 fof(f17632,plain,( 56.55/7.44 ( ! [X3,X6,X4,X5] : (implies(X6,and(not(X3),implies(X4,X5))) = not(and(X6,implies(implies(X4,X5),X3)))) ) | ~spl94_462), 56.55/7.44 inference(backward_demodulation,[],[f1873,f17491])). 56.55/7.44 fof(f19917,plain,( 56.55/7.44 spl94_58 | ~spl94_67), 56.55/7.44 inference(avatar_split_clause,[],[f19875,f818,f779])). 56.55/7.44 fof(f779,plain,( 56.55/7.44 spl94_58 <=> ! [X1] : is_a_theorem(strict_implies(possibly(X1),necessarily(possibly(X1))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_58])])). 56.55/7.44 fof(f19875,plain,( 56.55/7.44 ( ! [X3] : (is_a_theorem(strict_implies(possibly(X3),necessarily(possibly(X3))))) ) | ~spl94_67), 56.55/7.44 inference(resolution,[],[f819,f866])). 56.55/7.44 fof(f19895,plain,( 56.55/7.44 ~spl94_33 | ~spl94_67 | spl94_68 | ~spl94_403), 56.55/7.44 inference(avatar_contradiction_clause,[],[f19894])). 56.55/7.44 fof(f19894,plain,( 56.55/7.44 $false | (~spl94_33 | ~spl94_67 | spl94_68 | ~spl94_403)), 56.55/7.44 inference(subsumption_resolution,[],[f19893,f664])). 56.55/7.44 fof(f19893,plain,( 56.55/7.44 ~is_a_theorem(sK80) | (~spl94_67 | spl94_68 | ~spl94_403)), 56.55/7.44 inference(backward_demodulation,[],[f824,f19879])). 56.55/7.44 fof(f19879,plain,( 56.55/7.44 ( ! [X7] : (sK80 = implies(possibly(X7),necessarily(possibly(X7)))) ) | (~spl94_67 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f819,f11594])). 56.55/7.44 fof(f824,plain,( 56.55/7.44 ~is_a_theorem(implies(possibly(sK5),necessarily(possibly(sK5)))) | spl94_68), 56.55/7.44 inference(avatar_component_clause,[],[f822])). 56.55/7.44 fof(f822,plain,( 56.55/7.44 spl94_68 <=> is_a_theorem(implies(possibly(sK5),necessarily(possibly(sK5))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_68])])). 56.55/7.44 fof(f19888,plain,( 56.55/7.44 spl94_59 | ~spl94_67), 56.55/7.44 inference(avatar_contradiction_clause,[],[f19871])). 56.55/7.44 fof(f19871,plain,( 56.55/7.44 $false | (spl94_59 | ~spl94_67)), 56.55/7.44 inference(unit_resulting_resolution,[],[f785,f819,f866])). 56.55/7.44 fof(f785,plain,( 56.55/7.44 ~is_a_theorem(strict_implies(possibly(sK2),necessarily(possibly(sK2)))) | spl94_59), 56.55/7.44 inference(avatar_component_clause,[],[f783])). 56.55/7.44 fof(f783,plain,( 56.55/7.44 spl94_59 <=> is_a_theorem(strict_implies(possibly(sK2),necessarily(possibly(sK2))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_59])])). 56.55/7.44 fof(f19887,plain,( 56.55/7.44 ~spl94_67 | spl94_68), 56.55/7.44 inference(avatar_contradiction_clause,[],[f19870])). 56.55/7.44 fof(f19870,plain,( 56.55/7.44 $false | (~spl94_67 | spl94_68)), 56.55/7.44 inference(unit_resulting_resolution,[],[f824,f819])). 56.55/7.44 fof(f19886,plain,( 56.55/7.44 ~spl94_67 | spl94_68), 56.55/7.44 inference(avatar_contradiction_clause,[],[f19872])). 56.55/7.44 fof(f19872,plain,( 56.55/7.44 $false | (~spl94_67 | spl94_68)), 56.55/7.44 inference(resolution,[],[f819,f824])). 56.55/7.44 fof(f19869,plain,( 56.55/7.44 spl94_67 | ~spl94_75 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_302 | ~spl94_312 | ~spl94_313 | ~spl94_345 | ~spl94_430 | ~spl94_434 | ~spl94_463), 56.55/7.44 inference(avatar_split_clause,[],[f19585,f19244,f13994,f13965,f7340,f6151,f6140,f5935,f5571,f4210,f4205,f2325,f853,f818])). 56.55/7.44 fof(f5935,plain,( 56.55/7.44 spl94_302 <=> ! [X4] : is_a_theorem(implies(possibly(necessarily(X4)),necessarily(X4)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_302])])). 56.55/7.44 fof(f19585,plain,( 56.55/7.44 ( ! [X104] : (is_a_theorem(implies(possibly(X104),necessarily(possibly(X104))))) ) | (~spl94_75 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_302 | ~spl94_312 | ~spl94_313 | ~spl94_345 | ~spl94_430 | ~spl94_434 | ~spl94_463)), 56.55/7.44 inference(forward_demodulation,[],[f19584,f14674])). 56.55/7.44 fof(f14674,plain,( 56.55/7.44 ( ! [X6] : (equiv(X6,necessarily(X6)) = implies(X6,necessarily(X6))) ) | (~spl94_430 | ~spl94_434)), 56.55/7.44 inference(forward_demodulation,[],[f14633,f13966])). 56.55/7.44 fof(f14633,plain,( 56.55/7.44 ( ! [X6] : (equiv(X6,necessarily(X6)) = and(implies(X6,necessarily(X6)),sK80)) ) | ~spl94_434), 56.55/7.44 inference(superposition,[],[f472,f13995])). 56.55/7.44 fof(f19584,plain,( 56.55/7.44 ( ! [X104] : (is_a_theorem(equiv(possibly(X104),necessarily(possibly(X104))))) ) | (~spl94_75 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_280 | ~spl94_302 | ~spl94_312 | ~spl94_313 | ~spl94_345 | ~spl94_463)), 56.55/7.44 inference(backward_demodulation,[],[f8342,f19583])). 56.55/7.44 fof(f8342,plain,( 56.55/7.44 ( ! [X104] : (is_a_theorem(equiv(not(necessarily(possibly(X104))),not(possibly(X104))))) ) | (~spl94_75 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_302 | ~spl94_312 | ~spl94_313 | ~spl94_345)), 56.55/7.44 inference(subsumption_resolution,[],[f8341,f6493])). 56.55/7.44 fof(f6493,plain,( 56.55/7.44 ( ! [X46] : (is_a_theorem(or(necessarily(possibly(X46)),not(possibly(X46))))) ) | (~spl94_302 | ~spl94_312 | ~spl94_313)), 56.55/7.44 inference(forward_demodulation,[],[f6492,f970])). 56.55/7.44 fof(f6492,plain,( 56.55/7.44 ( ! [X46] : (is_a_theorem(implies(not(necessarily(possibly(X46))),not(possibly(X46))))) ) | (~spl94_302 | ~spl94_312 | ~spl94_313)), 56.55/7.44 inference(forward_demodulation,[],[f6469,f6152])). 56.55/7.44 fof(f6469,plain,( 56.55/7.44 ( ! [X46] : (is_a_theorem(implies(possibly(not(possibly(X46))),not(possibly(X46))))) ) | (~spl94_302 | ~spl94_312)), 56.55/7.44 inference(superposition,[],[f5936,f6141])). 56.55/7.44 fof(f5936,plain,( 56.55/7.44 ( ! [X4] : (is_a_theorem(implies(possibly(necessarily(X4)),necessarily(X4)))) ) | ~spl94_302), 56.55/7.44 inference(avatar_component_clause,[],[f5935])). 56.55/7.44 fof(f8341,plain,( 56.55/7.44 ( ! [X104] : (~is_a_theorem(or(necessarily(possibly(X104)),not(possibly(X104)))) | is_a_theorem(equiv(not(necessarily(possibly(X104))),not(possibly(X104))))) ) | (~spl94_75 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_345)), 56.55/7.44 inference(forward_demodulation,[],[f8317,f8308])). 56.55/7.44 fof(f8317,plain,( 56.55/7.44 ( ! [X104] : (is_a_theorem(equiv(not(necessarily(possibly(X104))),not(possibly(X104)))) | ~is_a_theorem(or(possibly(necessarily(possibly(X104))),not(possibly(X104))))) ) | (~spl94_75 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_345)), 56.55/7.44 inference(backward_demodulation,[],[f5340,f8308])). 56.55/7.44 fof(f5340,plain,( 56.55/7.44 ( ! [X104] : (~is_a_theorem(or(possibly(necessarily(possibly(X104))),not(possibly(X104)))) | is_a_theorem(equiv(not(possibly(necessarily(possibly(X104)))),not(possibly(X104))))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258)), 56.55/7.44 inference(forward_demodulation,[],[f5339,f970])). 56.55/7.44 fof(f5339,plain,( 56.55/7.44 ( ! [X104] : (~is_a_theorem(implies(not(possibly(necessarily(possibly(X104)))),not(possibly(X104)))) | is_a_theorem(equiv(not(possibly(necessarily(possibly(X104)))),not(possibly(X104))))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258)), 56.55/7.44 inference(forward_demodulation,[],[f5338,f5186])). 56.55/7.44 fof(f5338,plain,( 56.55/7.44 ( ! [X104] : (is_a_theorem(equiv(not(possibly(necessarily(possibly(X104)))),not(possibly(X104)))) | ~is_a_theorem(implies(necessarily(not(necessarily(possibly(X104)))),not(possibly(X104))))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258)), 56.55/7.44 inference(forward_demodulation,[],[f5275,f5186])). 56.55/7.44 fof(f5275,plain,( 56.55/7.44 ( ! [X104] : (is_a_theorem(equiv(necessarily(not(necessarily(possibly(X104)))),not(possibly(X104)))) | ~is_a_theorem(implies(necessarily(not(necessarily(possibly(X104)))),not(possibly(X104))))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f4785,f5186])). 56.55/7.44 fof(f4785,plain,( 56.55/7.44 ( ! [X104] : (~is_a_theorem(implies(necessarily(not(necessarily(possibly(X104)))),not(possibly(X104)))) | is_a_theorem(equiv(necessarily(not(necessarily(possibly(X104)))),necessarily(not(X104))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f3887,f4680])). 56.55/7.44 fof(f3887,plain,( 56.55/7.44 ( ! [X104] : (is_a_theorem(equiv(necessarily(not(necessarily(possibly(X104)))),necessarily(not(X104)))) | ~is_a_theorem(implies(necessarily(not(necessarily(possibly(X104)))),necessarily(not(X104))))) )), 56.55/7.44 inference(resolution,[],[f1730,f1445])). 56.55/7.44 fof(f19751,plain,( 56.55/7.44 spl94_466 | ~spl94_463), 56.55/7.44 inference(avatar_split_clause,[],[f19270,f19244,f19749])). 56.55/7.44 fof(f19270,plain,( 56.55/7.44 ( ! [X3,X4,X5] : (implies(not(X3),and(X4,not(X5))) = implies(implies(X4,X5),X3)) ) | ~spl94_463), 56.55/7.44 inference(superposition,[],[f19245,f954])). 56.55/7.44 fof(f19747,plain,( 56.55/7.44 ~spl94_465 | ~spl94_191 | ~spl94_258 | ~spl94_280 | spl94_461 | ~spl94_463), 56.55/7.44 inference(avatar_split_clause,[],[f19567,f19244,f17411,f5571,f4210,f2325,f19744])). 56.55/7.44 fof(f17411,plain,( 56.55/7.44 spl94_461 <=> is_a_theorem(or(possibly(sK79),not(possibly(sK78))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_461])])). 56.55/7.44 fof(f19567,plain,( 56.55/7.44 ~is_a_theorem(implies(possibly(sK78),possibly(sK79))) | (~spl94_191 | ~spl94_258 | ~spl94_280 | spl94_461 | ~spl94_463)), 56.55/7.44 inference(backward_demodulation,[],[f17413,f19323])). 56.55/7.44 fof(f17413,plain,( 56.55/7.44 ~is_a_theorem(or(possibly(sK79),not(possibly(sK78)))) | spl94_461), 56.55/7.44 inference(avatar_component_clause,[],[f17411])). 56.55/7.44 fof(f19251,plain,( 56.55/7.44 ~spl94_464 | spl94_89 | ~spl94_462), 56.55/7.44 inference(avatar_split_clause,[],[f17562,f17454,f939,f19248])). 56.55/7.44 fof(f17562,plain,( 56.55/7.44 ~is_a_theorem(or(sK11,sK12)) | (spl94_89 | ~spl94_462)), 56.55/7.44 inference(superposition,[],[f941,f17455])). 56.55/7.44 fof(f19246,plain,( 56.55/7.44 spl94_463 | ~spl94_462), 56.55/7.44 inference(avatar_split_clause,[],[f17630,f17454,f19244])). 56.55/7.44 fof(f17630,plain,( 56.55/7.44 ( ! [X2,X3,X4] : (not(and(not(X4),implies(X2,X3))) = implies(implies(X2,X3),X4)) ) | ~spl94_462), 56.55/7.44 inference(backward_demodulation,[],[f968,f17491])). 56.55/7.44 fof(f17456,plain,( 56.55/7.44 spl94_462 | ~spl94_452), 56.55/7.44 inference(avatar_split_clause,[],[f16946,f16759,f17454])). 56.55/7.44 fof(f16759,plain,( 56.55/7.44 spl94_452 <=> ! [X70,X69] : is_a_theorem(equiv(or(X69,X70),or(X70,X69)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_452])])). 56.55/7.44 fof(f16946,plain,( 56.55/7.44 ( ! [X4,X5] : (or(X4,X5) = or(X5,X4)) ) | ~spl94_452), 56.55/7.44 inference(resolution,[],[f16760,f488])). 56.55/7.44 fof(f16760,plain,( 56.55/7.44 ( ! [X70,X69] : (is_a_theorem(equiv(or(X69,X70),or(X70,X69)))) ) | ~spl94_452), 56.55/7.44 inference(avatar_component_clause,[],[f16759])). 56.55/7.44 fof(f17414,plain,( 56.55/7.44 ~spl94_461 | spl94_374), 56.55/7.44 inference(avatar_split_clause,[],[f16807,f8794,f17411])). 56.55/7.44 fof(f16807,plain,( 56.55/7.44 ~is_a_theorem(or(possibly(sK79),not(possibly(sK78)))) | spl94_374), 56.55/7.44 inference(resolution,[],[f8796,f1348])). 56.55/7.44 fof(f17371,plain,( 56.55/7.44 ~spl94_460 | ~spl94_312 | spl94_374), 56.55/7.44 inference(avatar_split_clause,[],[f16811,f8794,f6140,f17368])). 56.55/7.44 fof(f16811,plain,( 56.55/7.44 ~is_a_theorem(not(possibly(possibly(sK78)))) | (~spl94_312 | spl94_374)), 56.55/7.44 inference(forward_demodulation,[],[f16808,f6141])). 56.55/7.44 fof(f16808,plain,( 56.55/7.44 ~is_a_theorem(necessarily(not(possibly(sK78)))) | spl94_374), 56.55/7.44 inference(resolution,[],[f8796,f3203])). 56.55/7.44 fof(f17318,plain,( 56.55/7.44 ~spl94_459 | ~spl94_336 | spl94_457), 56.55/7.44 inference(avatar_split_clause,[],[f17210,f16940,f7273,f17315])). 56.55/7.44 fof(f17210,plain,( 56.55/7.44 ~is_a_theorem(not(sK78)) | (~spl94_336 | spl94_457)), 56.55/7.44 inference(resolution,[],[f16942,f7274])). 56.55/7.44 fof(f17105,plain,( 56.55/7.44 ~spl94_458 | ~spl94_250 | spl94_456), 56.55/7.44 inference(avatar_split_clause,[],[f17002,f16935,f3814,f17102])). 56.55/7.44 fof(f17002,plain,( 56.55/7.44 ~is_a_theorem(necessarily(sK79)) | (~spl94_250 | spl94_456)), 56.55/7.44 inference(resolution,[],[f16937,f3815])). 56.55/7.44 fof(f16943,plain,( 56.55/7.44 ~spl94_457 | spl94_374), 56.55/7.44 inference(avatar_split_clause,[],[f16810,f8794,f16940])). 56.55/7.44 fof(f16810,plain,( 56.55/7.44 ~is_a_theorem(not(possibly(sK78))) | spl94_374), 56.55/7.44 inference(resolution,[],[f8796,f1077])). 56.55/7.44 fof(f16938,plain,( 56.55/7.44 ~spl94_456 | spl94_374), 56.55/7.44 inference(avatar_split_clause,[],[f16806,f8794,f16935])). 56.55/7.44 fof(f16806,plain,( 56.55/7.44 ~is_a_theorem(necessarily(possibly(sK79))) | spl94_374), 56.55/7.44 inference(resolution,[],[f8796,f3206])). 56.55/7.44 fof(f16844,plain,( 56.55/7.44 ~spl94_455 | spl94_454), 56.55/7.44 inference(avatar_split_clause,[],[f16839,f16814,f16841])). 56.55/7.44 fof(f16839,plain,( 56.55/7.44 ~is_a_theorem(sK79) | spl94_454), 56.55/7.44 inference(resolution,[],[f16816,f902])). 56.55/7.44 fof(f16817,plain,( 56.55/7.44 ~spl94_454 | ~spl94_257 | spl94_374), 56.55/7.44 inference(avatar_split_clause,[],[f16812,f8794,f4205,f16814])). 56.55/7.44 fof(f16812,plain,( 56.55/7.44 ~is_a_theorem(possibly(sK79)) | (~spl94_257 | spl94_374)), 56.55/7.44 inference(forward_demodulation,[],[f16809,f4206])). 56.55/7.44 fof(f16809,plain,( 56.55/7.44 ~is_a_theorem(not(not(possibly(sK79)))) | spl94_374), 56.55/7.44 inference(resolution,[],[f8796,f1494])). 56.55/7.44 fof(f16805,plain,( 56.55/7.44 spl94_453 | ~spl94_257 | ~spl94_280 | ~spl94_451), 56.55/7.44 inference(avatar_split_clause,[],[f16784,f16755,f5571,f4205,f16803])). 56.55/7.44 fof(f16784,plain,( 56.55/7.44 ( ! [X3] : (not(sK80) = and(not(X3),X3)) ) | (~spl94_257 | ~spl94_280 | ~spl94_451)), 56.55/7.44 inference(backward_demodulation,[],[f5667,f16776])). 56.55/7.44 fof(f5667,plain,( 56.55/7.44 ( ! [X3] : (equiv(X3,not(X3)) = and(not(X3),X3)) ) | (~spl94_257 | ~spl94_280)), 56.55/7.44 inference(forward_demodulation,[],[f5614,f5606])). 56.55/7.44 fof(f5606,plain,( 56.55/7.44 ( ! [X0] : (not(X0) = implies(X0,not(X0))) ) | (~spl94_257 | ~spl94_280)), 56.55/7.44 inference(superposition,[],[f5572,f4206])). 56.55/7.44 fof(f5614,plain,( 56.55/7.44 ( ! [X3] : (equiv(X3,not(X3)) = and(implies(X3,not(X3)),X3)) ) | ~spl94_280), 56.55/7.44 inference(superposition,[],[f472,f5572])). 56.55/7.44 fof(f16761,plain,( 56.55/7.44 spl94_452 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f4372,f4205,f16759])). 56.55/7.44 fof(f4372,plain,( 56.55/7.44 ( ! [X70,X69] : (is_a_theorem(equiv(or(X69,X70),or(X70,X69)))) ) | ~spl94_257), 56.55/7.44 inference(subsumption_resolution,[],[f4371,f4360])). 56.55/7.44 fof(f4360,plain,( 56.55/7.44 ( ! [X41,X42] : (is_a_theorem(implies(or(X42,X41),or(X41,X42)))) ) | ~spl94_257), 56.55/7.44 inference(backward_demodulation,[],[f1351,f4206])). 56.55/7.44 fof(f4371,plain,( 56.55/7.44 ( ! [X70,X69] : (~is_a_theorem(implies(or(X69,X70),or(X70,X69))) | is_a_theorem(equiv(or(X69,X70),or(X70,X69)))) ) | ~spl94_257), 56.55/7.44 inference(forward_demodulation,[],[f4367,f4206])). 56.55/7.44 fof(f4367,plain,( 56.55/7.44 ( ! [X70,X69] : (is_a_theorem(equiv(or(X69,X70),or(X70,X69))) | ~is_a_theorem(implies(or(X69,X70),or(X70,not(not(X69)))))) ) | ~spl94_257), 56.55/7.44 inference(backward_demodulation,[],[f3870,f4206])). 56.55/7.44 fof(f3870,plain,( 56.55/7.44 ( ! [X70,X69] : (is_a_theorem(equiv(or(X69,X70),or(X70,not(not(X69))))) | ~is_a_theorem(implies(or(X69,X70),or(X70,not(not(X69)))))) )), 56.55/7.44 inference(resolution,[],[f1730,f1351])). 56.55/7.44 fof(f16757,plain,( 56.55/7.44 spl94_451 | ~spl94_257 | ~spl94_280 | ~spl94_397 | ~spl94_408 | ~spl94_411), 56.55/7.44 inference(avatar_split_clause,[],[f12641,f12343,f12160,f10517,f5571,f4205,f16755])). 56.55/7.44 fof(f12641,plain,( 56.55/7.44 ( ! [X2] : (not(sK80) = equiv(not(X2),X2)) ) | (~spl94_257 | ~spl94_280 | ~spl94_397 | ~spl94_408 | ~spl94_411)), 56.55/7.44 inference(backward_demodulation,[],[f5665,f12639])). 56.55/7.44 fof(f5665,plain,( 56.55/7.44 ( ! [X2] : (equiv(not(X2),X2) = and(X2,not(X2))) ) | (~spl94_257 | ~spl94_280)), 56.55/7.44 inference(forward_demodulation,[],[f5613,f5606])). 56.55/7.44 fof(f5613,plain,( 56.55/7.44 ( ! [X2] : (equiv(not(X2),X2) = and(X2,implies(X2,not(X2)))) ) | ~spl94_280), 56.55/7.44 inference(superposition,[],[f472,f5572])). 56.55/7.44 fof(f16753,plain,( 56.55/7.44 spl94_450 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f4364,f4205,f16751])). 56.55/7.44 fof(f4364,plain,( 56.55/7.44 ( ! [X2,X3] : (~is_a_theorem(or(X3,X2)) | is_a_theorem(or(X2,X3))) ) | ~spl94_257), 56.55/7.44 inference(backward_demodulation,[],[f3002,f4206])). 56.55/7.44 fof(f3002,plain,( 56.55/7.44 ( ! [X2,X3] : (is_a_theorem(or(X2,X3)) | ~is_a_theorem(or(X3,not(not(X2))))) )), 56.55/7.44 inference(resolution,[],[f1351,f489])). 56.55/7.44 fof(f16741,plain,( 56.55/7.44 spl94_449 | ~spl94_75 | ~spl94_445), 56.55/7.44 inference(avatar_split_clause,[],[f16545,f15634,f853,f16739])). 56.55/7.44 fof(f15634,plain,( 56.55/7.44 spl94_445 <=> ! [X0] : necessarily(X0) = strict_equiv(X0,sK80)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_445])])). 56.55/7.44 fof(f16545,plain,( 56.55/7.44 ( ! [X0] : (~is_a_theorem(necessarily(X0)) | sK80 = X0) ) | (~spl94_75 | ~spl94_445)), 56.55/7.44 inference(superposition,[],[f854,f15635])). 56.55/7.44 fof(f15635,plain,( 56.55/7.44 ( ! [X0] : (necessarily(X0) = strict_equiv(X0,sK80)) ) | ~spl94_445), 56.55/7.44 inference(avatar_component_clause,[],[f15634])). 56.55/7.44 fof(f16737,plain,( 56.55/7.44 spl94_448 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f4363,f4205,f16735])). 56.55/7.44 fof(f4363,plain,( 56.55/7.44 ( ! [X0,X1] : (is_a_theorem(strict_implies(or(X1,X0),or(X0,X1)))) ) | ~spl94_257), 56.55/7.44 inference(backward_demodulation,[],[f2458,f4206])). 56.55/7.44 fof(f2458,plain,( 56.55/7.44 ( ! [X0,X1] : (is_a_theorem(strict_implies(or(X1,not(not(X0))),or(X0,X1)))) )), 56.55/7.44 inference(superposition,[],[f1087,f970])). 56.55/7.44 fof(f15866,plain,( 56.55/7.44 spl94_447 | ~spl94_257 | ~spl94_436), 56.55/7.44 inference(avatar_split_clause,[],[f14919,f14002,f4205,f15864])). 56.55/7.44 fof(f15864,plain,( 56.55/7.44 spl94_447 <=> ! [X39] : sK80 = or(not(X39),X39)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_447])])). 56.55/7.44 fof(f14002,plain,( 56.55/7.44 spl94_436 <=> ! [X167] : sK80 = or(X167,not(X167))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_436])])). 56.55/7.44 fof(f14919,plain,( 56.55/7.44 ( ! [X39] : (sK80 = or(not(X39),X39)) ) | (~spl94_257 | ~spl94_436)), 56.55/7.44 inference(superposition,[],[f14003,f4206])). 56.55/7.44 fof(f14003,plain,( 56.55/7.44 ( ! [X167] : (sK80 = or(X167,not(X167))) ) | ~spl94_436), 56.55/7.44 inference(avatar_component_clause,[],[f14002])). 56.55/7.44 fof(f15688,plain,( 56.55/7.44 spl94_446 | ~spl94_75 | ~spl94_397 | ~spl94_417 | ~spl94_427), 56.55/7.44 inference(avatar_split_clause,[],[f13683,f13524,f12559,f10517,f853,f15686])). 56.55/7.44 fof(f15686,plain,( 56.55/7.44 spl94_446 <=> ! [X1] : necessarily(X1) = strict_equiv(sK80,X1)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_446])])). 56.55/7.44 fof(f12559,plain,( 56.55/7.44 spl94_417 <=> ! [X227] : sK80 = strict_implies(X227,sK80)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_417])])). 56.55/7.44 fof(f13683,plain,( 56.55/7.44 ( ! [X1] : (necessarily(X1) = strict_equiv(sK80,X1)) ) | (~spl94_75 | ~spl94_397 | ~spl94_417 | ~spl94_427)), 56.55/7.44 inference(backward_demodulation,[],[f13013,f13652])). 56.55/7.44 fof(f13013,plain,( 56.55/7.44 ( ! [X1] : (strict_equiv(sK80,X1) = and(necessarily(X1),sK80)) ) | (~spl94_397 | ~spl94_417)), 56.55/7.44 inference(forward_demodulation,[],[f12997,f10541])). 56.55/7.44 fof(f10541,plain,( 56.55/7.44 ( ! [X0] : (necessarily(X0) = strict_implies(sK80,X0)) ) | ~spl94_397), 56.55/7.44 inference(superposition,[],[f467,f10518])). 56.55/7.44 fof(f12997,plain,( 56.55/7.44 ( ! [X1] : (strict_equiv(sK80,X1) = and(strict_implies(sK80,X1),sK80)) ) | ~spl94_417), 56.55/7.44 inference(superposition,[],[f469,f12560])). 56.55/7.44 fof(f12560,plain,( 56.55/7.44 ( ! [X227] : (sK80 = strict_implies(X227,sK80)) ) | ~spl94_417), 56.55/7.44 inference(avatar_component_clause,[],[f12559])). 56.55/7.44 fof(f15636,plain,( 56.55/7.44 spl94_445 | ~spl94_386 | ~spl94_397 | ~spl94_417), 56.55/7.44 inference(avatar_split_clause,[],[f13012,f12559,f10517,f10083,f15634])). 56.55/7.44 fof(f13012,plain,( 56.55/7.44 ( ! [X0] : (necessarily(X0) = strict_equiv(X0,sK80)) ) | (~spl94_386 | ~spl94_397 | ~spl94_417)), 56.55/7.44 inference(forward_demodulation,[],[f13011,f10541])). 56.55/7.44 fof(f13011,plain,( 56.55/7.44 ( ! [X0] : (strict_implies(sK80,X0) = strict_equiv(X0,sK80)) ) | (~spl94_386 | ~spl94_417)), 56.55/7.44 inference(forward_demodulation,[],[f12996,f10084])). 56.55/7.44 fof(f12996,plain,( 56.55/7.44 ( ! [X0] : (strict_equiv(X0,sK80) = and(sK80,strict_implies(sK80,X0))) ) | ~spl94_417), 56.55/7.44 inference(superposition,[],[f469,f12560])). 56.55/7.44 fof(f15632,plain,( 56.55/7.44 spl94_444 | ~spl94_414 | ~spl94_415), 56.55/7.44 inference(avatar_split_clause,[],[f12960,f12551,f12547,f15630])). 56.55/7.44 fof(f12960,plain,( 56.55/7.44 ( ! [X16] : (sK80 = implies(not(sK80),X16)) ) | (~spl94_414 | ~spl94_415)), 56.55/7.44 inference(backward_demodulation,[],[f12959,f12940])). 56.55/7.44 fof(f12940,plain,( 56.55/7.44 ( ! [X18,X17] : (not(sK80) = possibly(and(and(X17,not(X18)),implies(X17,X18)))) ) | ~spl94_415), 56.55/7.44 inference(superposition,[],[f1512,f12552])). 56.55/7.44 fof(f12959,plain,( 56.55/7.44 ( ! [X16,X14,X15] : (sK80 = implies(possibly(and(and(X14,not(X15)),implies(X14,X15))),X16)) ) | (~spl94_414 | ~spl94_415)), 56.55/7.44 inference(forward_demodulation,[],[f12939,f12548])). 56.55/7.44 fof(f12939,plain,( 56.55/7.44 ( ! [X16,X14,X15] : (or(sK80,X16) = implies(possibly(and(and(X14,not(X15)),implies(X14,X15))),X16)) ) | ~spl94_415), 56.55/7.44 inference(superposition,[],[f1775,f12552])). 56.55/7.44 fof(f1775,plain,( 56.55/7.44 ( ! [X31,X32,X30,X33] : (implies(possibly(and(X30,implies(X31,X32))),X33) = or(strict_implies(X30,and(X31,not(X32))),X33)) )), 56.55/7.44 inference(forward_demodulation,[],[f1763,f467])). 56.55/7.44 fof(f1763,plain,( 56.55/7.44 ( ! [X31,X32,X30,X33] : (implies(possibly(and(X30,implies(X31,X32))),X33) = or(necessarily(implies(X30,and(X31,not(X32)))),X33)) )), 56.55/7.44 inference(superposition,[],[f974,f954])). 56.55/7.44 fof(f15426,plain,( 56.55/7.44 spl94_443 | ~spl94_405 | ~spl94_414), 56.55/7.44 inference(avatar_split_clause,[],[f12910,f12547,f12101,f15424])). 56.55/7.44 fof(f15424,plain,( 56.55/7.44 spl94_443 <=> ! [X4] : sK80 = strict_implies(not(sK80),X4)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_443])])). 56.55/7.44 fof(f12910,plain,( 56.55/7.44 ( ! [X4] : (sK80 = strict_implies(not(sK80),X4)) ) | (~spl94_405 | ~spl94_414)), 56.55/7.44 inference(forward_demodulation,[],[f12879,f12103])). 56.55/7.44 fof(f12879,plain,( 56.55/7.44 ( ! [X4] : (necessarily(sK80) = strict_implies(not(sK80),X4)) ) | ~spl94_414), 56.55/7.44 inference(superposition,[],[f1333,f12548])). 56.55/7.44 fof(f15422,plain,( 56.55/7.44 spl94_442 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4695,f4210,f2325,f15420])). 56.55/7.44 fof(f15420,plain,( 56.55/7.44 spl94_442 <=> ! [X5,X4,X6,X3] : (is_a_theorem(or(and(X3,or(X4,X5)),implies(or(X6,X3),not(or(X4,X5))))) | ~is_a_theorem(implies(X6,not(or(X4,X5)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_442])])). 56.55/7.44 fof(f4695,plain,( 56.55/7.44 ( ! [X3,X6,X4,X5] : (is_a_theorem(or(and(X3,or(X4,X5)),implies(or(X6,X3),not(or(X4,X5))))) | ~is_a_theorem(implies(X6,not(or(X4,X5))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(forward_demodulation,[],[f4633,f4604])). 56.55/7.44 fof(f4633,plain,( 56.55/7.44 ( ! [X3,X6,X4,X5] : (~is_a_theorem(implies(X6,not(or(X4,X5)))) | is_a_theorem(or(and(X3,or(X4,X5)),not(and(or(X6,X3),or(X4,X5)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f2071,f4604])). 56.55/7.44 fof(f2071,plain,( 56.55/7.44 ( ! [X3,X6,X4,X5] : (~is_a_theorem(not(and(X6,or(X4,X5)))) | is_a_theorem(or(and(X3,or(X4,X5)),not(and(or(X6,X3),or(X4,X5)))))) )), 56.55/7.44 inference(forward_demodulation,[],[f2070,f972])). 56.55/7.44 fof(f2070,plain,( 56.55/7.44 ( ! [X3,X6,X4,X5] : (is_a_theorem(or(and(X3,or(X4,X5)),not(and(or(X6,X3),or(X4,X5))))) | ~is_a_theorem(implies(X6,and(not(X4),not(X5))))) )), 56.55/7.44 inference(forward_demodulation,[],[f2069,f972])). 56.55/7.44 fof(f2069,plain,( 56.55/7.44 ( ! [X3,X6,X4,X5] : (is_a_theorem(or(and(X3,or(X4,X5)),implies(or(X6,X3),and(not(X4),not(X5))))) | ~is_a_theorem(implies(X6,and(not(X4),not(X5))))) )), 56.55/7.44 inference(forward_demodulation,[],[f2064,f970])). 56.55/7.44 fof(f2064,plain,( 56.55/7.44 ( ! [X3,X6,X4,X5] : (is_a_theorem(implies(not(and(X3,or(X4,X5))),implies(or(X6,X3),and(not(X4),not(X5))))) | ~is_a_theorem(implies(X6,and(not(X4),not(X5))))) )), 56.55/7.44 inference(superposition,[],[f1287,f972])). 56.55/7.44 fof(f15288,plain,( 56.55/7.44 spl94_441 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4587,f4210,f2325,f15286])). 56.55/7.44 fof(f15286,plain,( 56.55/7.44 spl94_441 <=> ! [X18,X17,X16,X15] : not(and(not(X17),or(X18,and(not(X15),possibly(X16))))) = or(X17,and(not(X18),or(X15,not(possibly(X16)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_441])])). 56.55/7.44 fof(f4587,plain,( 56.55/7.44 ( ! [X18,X16,X17,X15] : (not(and(not(X17),or(X18,and(not(X15),possibly(X16))))) = or(X17,and(not(X18),or(X15,not(possibly(X16)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f2091,f4574])). 56.55/7.44 fof(f4574,plain,( 56.55/7.44 ( ! [X0,X1] : (or(X1,necessarily(not(X0))) = or(X1,not(possibly(X0)))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f967,f4554])). 56.55/7.44 fof(f967,plain,( 56.55/7.44 ( ! [X0,X1] : (or(X1,necessarily(not(X0))) = not(and(not(X1),possibly(X0)))) )), 56.55/7.44 inference(superposition,[],[f471,f470])). 56.55/7.44 fof(f2091,plain,( 56.55/7.44 ( ! [X18,X16,X17,X15] : (not(and(not(X17),or(X18,and(not(X15),possibly(X16))))) = or(X17,and(not(X18),or(X15,necessarily(not(X16)))))) )), 56.55/7.44 inference(superposition,[],[f969,f967])). 56.55/7.44 fof(f14391,plain,( 56.55/7.44 spl94_440 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11805,f11593,f14389])). 56.55/7.44 fof(f14389,plain,( 56.55/7.44 spl94_440 <=> ! [X281] : (sK80 = necessarily(X281) | ~is_a_theorem(X281))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_440])])). 56.55/7.44 fof(f11805,plain,( 56.55/7.44 ( ! [X281] : (sK80 = necessarily(X281) | ~is_a_theorem(X281)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f491])). 56.55/7.44 fof(f14323,plain,( 56.55/7.44 spl94_439 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11801,f11593,f14321])). 56.55/7.44 fof(f14321,plain,( 56.55/7.44 spl94_439 <=> ! [X274] : sK80 = strict_implies(necessarily(X274),X274)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_439])])). 56.55/7.44 fof(f11801,plain,( 56.55/7.44 ( ! [X274] : (sK80 = strict_implies(necessarily(X274),X274)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f1091])). 56.55/7.44 fof(f1091,plain,( 56.55/7.44 ( ! [X26] : (is_a_theorem(strict_implies(necessarily(X26),X26))) )), 56.55/7.44 inference(resolution,[],[f866,f479])). 56.55/7.44 fof(f14141,plain,( 56.55/7.44 spl94_438 | ~spl94_332 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11777,f11593,f6565,f14139])). 56.55/7.44 fof(f14139,plain,( 56.55/7.44 spl94_438 <=> ! [X225] : sK80 = strict_implies(X225,possibly(X225))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_438])])). 56.55/7.44 fof(f6565,plain,( 56.55/7.44 spl94_332 <=> ! [X3] : is_a_theorem(strict_implies(X3,possibly(X3)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_332])])). 56.55/7.44 fof(f11777,plain,( 56.55/7.44 ( ! [X225] : (sK80 = strict_implies(X225,possibly(X225))) ) | (~spl94_332 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f11594,f6566])). 56.55/7.44 fof(f6566,plain,( 56.55/7.44 ( ! [X3] : (is_a_theorem(strict_implies(X3,possibly(X3)))) ) | ~spl94_332), 56.55/7.44 inference(avatar_component_clause,[],[f6565])). 56.55/7.44 fof(f14137,plain,( 56.55/7.44 spl94_437 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11763,f11593,f14135])). 56.55/7.44 fof(f11763,plain,( 56.55/7.44 ( ! [X205] : (sK80 = possibly(X205) | ~is_a_theorem(X205)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f902])). 56.55/7.44 fof(f14004,plain,( 56.55/7.44 spl94_436 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11745,f11593,f14002])). 56.55/7.44 fof(f11745,plain,( 56.55/7.44 ( ! [X167] : (sK80 = or(X167,not(X167))) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f1573])). 56.55/7.44 fof(f1573,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(or(X0,not(X0)))) )), 56.55/7.44 inference(superposition,[],[f1559,f970])). 56.55/7.44 fof(f1559,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(implies(X0,X0))) )), 56.55/7.44 inference(resolution,[],[f1011,f493])). 56.55/7.44 fof(f14000,plain,( 56.55/7.44 spl94_435 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4663,f4210,f2325,f13998])). 56.55/7.44 fof(f13998,plain,( 56.55/7.44 spl94_435 <=> ! [X55,X54,X53,X56] : is_a_theorem(or(and(X53,or(X54,X55)),or(and(X56,or(X54,X55)),implies(or(X53,X56),not(or(X54,X55))))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_435])])). 56.55/7.44 fof(f4663,plain,( 56.55/7.44 ( ! [X56,X54,X55,X53] : (is_a_theorem(or(and(X53,or(X54,X55)),or(and(X56,or(X54,X55)),implies(or(X53,X56),not(or(X54,X55))))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1988,f4604])). 56.55/7.44 fof(f1988,plain,( 56.55/7.44 ( ! [X56,X54,X55,X53] : (is_a_theorem(or(and(X53,or(X54,X55)),or(and(X56,or(X54,X55)),not(and(or(X53,X56),or(X54,X55))))))) )), 56.55/7.44 inference(forward_demodulation,[],[f1987,f970])). 56.55/7.44 fof(f1987,plain,( 56.55/7.44 ( ! [X56,X54,X55,X53] : (is_a_theorem(or(and(X53,or(X54,X55)),or(and(X56,implies(not(X54),X55)),not(and(or(X53,X56),or(X54,X55))))))) )), 56.55/7.44 inference(forward_demodulation,[],[f1986,f972])). 56.55/7.44 fof(f1986,plain,( 56.55/7.44 ( ! [X56,X54,X55,X53] : (is_a_theorem(or(and(X53,or(X54,X55)),or(and(X56,implies(not(X54),X55)),implies(or(X53,X56),and(not(X54),not(X55))))))) )), 56.55/7.44 inference(forward_demodulation,[],[f1985,f1685])). 56.55/7.44 fof(f1985,plain,( 56.55/7.44 ( ! [X56,X54,X55,X53] : (is_a_theorem(or(and(X53,or(X54,X55)),implies(implies(X56,and(not(X54),not(X55))),implies(or(X53,X56),and(not(X54),not(X55))))))) )), 56.55/7.44 inference(forward_demodulation,[],[f1945,f970])). 56.55/7.44 fof(f1945,plain,( 56.55/7.44 ( ! [X56,X54,X55,X53] : (is_a_theorem(implies(not(and(X53,or(X54,X55))),implies(implies(X56,and(not(X54),not(X55))),implies(or(X53,X56),and(not(X54),not(X55))))))) )), 56.55/7.44 inference(superposition,[],[f501,f972])). 56.55/7.44 fof(f13996,plain,( 56.55/7.44 spl94_434 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11729,f11593,f13994])). 56.55/7.44 fof(f11729,plain,( 56.55/7.44 ( ! [X137] : (sK80 = implies(necessarily(X137),X137)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f479])). 56.55/7.44 fof(f13992,plain,( 56.55/7.44 spl94_433 | ~spl94_331 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11683,f11593,f6552,f13990])). 56.55/7.44 fof(f13990,plain,( 56.55/7.44 spl94_433 <=> ! [X21] : sK80 = implies(X21,possibly(X21))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_433])])). 56.55/7.44 fof(f6552,plain,( 56.55/7.44 spl94_331 <=> ! [X0] : is_a_theorem(implies(X0,possibly(X0)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_331])])). 56.55/7.44 fof(f11683,plain,( 56.55/7.44 ( ! [X21] : (sK80 = implies(X21,possibly(X21))) ) | (~spl94_331 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f11594,f6553])). 56.55/7.44 fof(f6553,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(implies(X0,possibly(X0)))) ) | ~spl94_331), 56.55/7.44 inference(avatar_component_clause,[],[f6552])). 56.55/7.44 fof(f13988,plain,( 56.55/7.44 spl94_432 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4586,f4210,f2325,f13986])). 56.55/7.44 fof(f13986,plain,( 56.55/7.44 spl94_432 <=> ! [X18,X17,X16,X15] : is_a_theorem(implies(or(X17,or(X18,and(not(X15),possibly(X16)))),implies(and(not(X18),or(X15,not(possibly(X16)))),X17)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_432])])). 56.55/7.44 fof(f4586,plain,( 56.55/7.44 ( ! [X18,X16,X17,X15] : (is_a_theorem(implies(or(X17,or(X18,and(not(X15),possibly(X16)))),implies(and(not(X18),or(X15,not(possibly(X16)))),X17)))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f2038,f4574])). 56.55/7.44 fof(f2038,plain,( 56.55/7.44 ( ! [X18,X16,X17,X15] : (is_a_theorem(implies(or(X17,or(X18,and(not(X15),possibly(X16)))),implies(and(not(X18),or(X15,necessarily(not(X16)))),X17)))) )), 56.55/7.44 inference(superposition,[],[f1007,f967])). 56.55/7.44 fof(f1007,plain,( 56.55/7.44 ( ! [X6,X7,X5] : (is_a_theorem(implies(or(X7,or(X5,X6)),implies(and(not(X5),not(X6)),X7)))) )), 56.55/7.44 inference(superposition,[],[f979,f471])). 56.55/7.44 fof(f13971,plain,( 56.55/7.44 spl94_431 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4585,f4210,f2325,f13969])). 56.55/7.44 fof(f13969,plain,( 56.55/7.44 spl94_431 <=> ! [X18,X17,X16,X15] : not(and(X17,or(X18,and(not(X15),possibly(X16))))) = implies(X17,and(not(X18),or(X15,not(possibly(X16)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_431])])). 56.55/7.44 fof(f4585,plain,( 56.55/7.44 ( ! [X18,X16,X17,X15] : (not(and(X17,or(X18,and(not(X15),possibly(X16))))) = implies(X17,and(not(X18),or(X15,not(possibly(X16)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1922,f4574])). 56.55/7.44 fof(f1922,plain,( 56.55/7.44 ( ! [X18,X16,X17,X15] : (not(and(X17,or(X18,and(not(X15),possibly(X16))))) = implies(X17,and(not(X18),or(X15,necessarily(not(X16)))))) )), 56.55/7.44 inference(superposition,[],[f972,f967])). 56.55/7.44 fof(f13967,plain,( 56.55/7.44 spl94_430 | ~spl94_75 | ~spl94_427), 56.55/7.44 inference(avatar_split_clause,[],[f13652,f13524,f853,f13965])). 56.55/7.44 fof(f13827,plain,( 56.55/7.44 spl94_429 | ~spl94_75 | ~spl94_388 | ~spl94_397 | ~spl94_403 | ~spl94_427), 56.55/7.44 inference(avatar_split_clause,[],[f13659,f13524,f11593,f10517,f10163,f853,f13825])). 56.55/7.44 fof(f10163,plain,( 56.55/7.44 spl94_388 <=> ! [X0] : is_a_theorem(implies(X0,sK80))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_388])])). 56.55/7.44 fof(f13659,plain,( 56.55/7.44 ( ! [X1] : (equiv(sK80,X1) = X1) ) | (~spl94_75 | ~spl94_388 | ~spl94_397 | ~spl94_403 | ~spl94_427)), 56.55/7.44 inference(backward_demodulation,[],[f11847,f13652])). 56.55/7.44 fof(f11847,plain,( 56.55/7.44 ( ! [X1] : (equiv(sK80,X1) = and(X1,sK80)) ) | (~spl94_388 | ~spl94_397 | ~spl94_403)), 56.55/7.44 inference(backward_demodulation,[],[f10542,f11685])). 56.55/7.44 fof(f11685,plain,( 56.55/7.44 ( ! [X23] : (sK80 = implies(X23,sK80)) ) | (~spl94_388 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f11594,f10164])). 56.55/7.44 fof(f10164,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(implies(X0,sK80))) ) | ~spl94_388), 56.55/7.44 inference(avatar_component_clause,[],[f10163])). 56.55/7.44 fof(f10542,plain,( 56.55/7.44 ( ! [X1] : (equiv(sK80,X1) = and(X1,implies(X1,sK80))) ) | ~spl94_397), 56.55/7.44 inference(superposition,[],[f472,f10518])). 56.55/7.44 fof(f13651,plain,( 56.55/7.44 spl94_428 | ~spl94_33 | ~spl94_403 | ~spl94_425), 56.55/7.44 inference(avatar_split_clause,[],[f13412,f13182,f11593,f662,f13649])). 56.55/7.44 fof(f13649,plain,( 56.55/7.44 spl94_428 <=> ! [X2] : is_a_theorem(equiv(and(X2,sK80),X2))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_428])])). 56.55/7.44 fof(f13182,plain,( 56.55/7.44 spl94_425 <=> ! [X118] : is_a_theorem(implies(X118,and(X118,sK80)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_425])])). 56.55/7.44 fof(f13412,plain,( 56.55/7.44 ( ! [X2] : (is_a_theorem(equiv(and(X2,sK80),X2))) ) | (~spl94_33 | ~spl94_403 | ~spl94_425)), 56.55/7.44 inference(subsumption_resolution,[],[f13411,f664])). 56.55/7.44 fof(f13411,plain,( 56.55/7.44 ( ! [X2] : (~is_a_theorem(sK80) | is_a_theorem(equiv(and(X2,sK80),X2))) ) | (~spl94_403 | ~spl94_425)), 56.55/7.44 inference(forward_demodulation,[],[f13401,f11686])). 56.55/7.44 fof(f13401,plain,( 56.55/7.44 ( ! [X2] : (is_a_theorem(equiv(and(X2,sK80),X2)) | ~is_a_theorem(implies(and(X2,sK80),X2))) ) | ~spl94_425), 56.55/7.44 inference(resolution,[],[f13183,f1730])). 56.55/7.44 fof(f13183,plain,( 56.55/7.44 ( ! [X118] : (is_a_theorem(implies(X118,and(X118,sK80)))) ) | ~spl94_425), 56.55/7.44 inference(avatar_component_clause,[],[f13182])). 56.55/7.44 fof(f13526,plain,( 56.55/7.44 spl94_427 | ~spl94_33 | ~spl94_189 | ~spl94_403 | ~spl94_421), 56.55/7.44 inference(avatar_split_clause,[],[f13227,f13166,f11593,f2281,f662,f13524])). 56.55/7.44 fof(f13166,plain,( 56.55/7.44 spl94_421 <=> ! [X116] : is_a_theorem(strict_implies(X116,and(X116,sK80)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_421])])). 56.55/7.44 fof(f13227,plain,( 56.55/7.44 ( ! [X1] : (is_a_theorem(strict_equiv(and(X1,sK80),X1))) ) | (~spl94_33 | ~spl94_189 | ~spl94_403 | ~spl94_421)), 56.55/7.44 inference(subsumption_resolution,[],[f13226,f664])). 56.55/7.44 fof(f13226,plain,( 56.55/7.44 ( ! [X1] : (~is_a_theorem(sK80) | is_a_theorem(strict_equiv(and(X1,sK80),X1))) ) | (~spl94_189 | ~spl94_403 | ~spl94_421)), 56.55/7.44 inference(forward_demodulation,[],[f13218,f11780])). 56.55/7.44 fof(f13218,plain,( 56.55/7.44 ( ! [X1] : (~is_a_theorem(strict_implies(and(X1,sK80),X1)) | is_a_theorem(strict_equiv(and(X1,sK80),X1))) ) | (~spl94_189 | ~spl94_421)), 56.55/7.44 inference(resolution,[],[f13167,f2282])). 56.55/7.44 fof(f13167,plain,( 56.55/7.44 ( ! [X116] : (is_a_theorem(strict_implies(X116,and(X116,sK80)))) ) | ~spl94_421), 56.55/7.44 inference(avatar_component_clause,[],[f13166])). 56.55/7.44 fof(f13216,plain,( 56.55/7.44 spl94_426 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4724,f4210,f2325,f13214])). 56.55/7.44 fof(f13214,plain,( 56.55/7.44 spl94_426 <=> ! [X11,X13,X14,X12] : or(and(X11,possibly(X12)),and(X13,not(X14))) = not(and(implies(X11,not(possibly(X12))),implies(X13,X14)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_426])])). 56.55/7.44 fof(f4724,plain,( 56.55/7.44 ( ! [X11,X14,X12,X13] : (or(and(X11,possibly(X12)),and(X13,not(X14))) = not(and(implies(X11,not(possibly(X12))),implies(X13,X14)))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1866,f4680])). 56.55/7.44 fof(f1866,plain,( 56.55/7.44 ( ! [X11,X14,X12,X13] : (or(and(X11,possibly(X12)),and(X13,not(X14))) = not(and(implies(X11,necessarily(not(X12))),implies(X13,X14)))) )), 56.55/7.44 inference(superposition,[],[f968,f953])). 56.55/7.44 fof(f13184,plain,( 56.55/7.44 spl94_425 | ~spl94_397), 56.55/7.44 inference(avatar_split_clause,[],[f10615,f10517,f13182])). 56.55/7.44 fof(f10615,plain,( 56.55/7.44 ( ! [X118] : (is_a_theorem(implies(X118,and(X118,sK80)))) ) | ~spl94_397), 56.55/7.44 inference(superposition,[],[f484,f10518])). 56.55/7.44 fof(f13180,plain,( 56.55/7.44 spl94_424 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4584,f4210,f2325,f13178])). 56.55/7.44 fof(f13178,plain,( 56.55/7.44 spl94_424 <=> ! [X18,X17,X16,X15] : is_a_theorem(implies(or(X17,implies(X18,and(not(X15),possibly(X16)))),implies(and(X18,or(X15,not(possibly(X16)))),X17)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_424])])). 56.55/7.44 fof(f4584,plain,( 56.55/7.44 ( ! [X18,X16,X17,X15] : (is_a_theorem(implies(or(X17,implies(X18,and(not(X15),possibly(X16)))),implies(and(X18,or(X15,not(possibly(X16)))),X17)))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1841,f4574])). 56.55/7.44 fof(f1841,plain,( 56.55/7.44 ( ! [X18,X16,X17,X15] : (is_a_theorem(implies(or(X17,implies(X18,and(not(X15),possibly(X16)))),implies(and(X18,or(X15,necessarily(not(X16)))),X17)))) )), 56.55/7.44 inference(superposition,[],[f1006,f967])). 56.55/7.44 fof(f1006,plain,( 56.55/7.44 ( ! [X2,X3,X4] : (is_a_theorem(implies(or(X4,implies(X2,X3)),implies(and(X2,not(X3)),X4)))) )), 56.55/7.44 inference(superposition,[],[f979,f468])). 56.55/7.44 fof(f13176,plain,( 56.55/7.44 spl94_423 | ~spl94_397), 56.55/7.44 inference(avatar_split_clause,[],[f10614,f10517,f13174])). 56.55/7.44 fof(f13174,plain,( 56.55/7.44 spl94_423 <=> ! [X117] : (is_a_theorem(and(X117,sK80)) | ~is_a_theorem(X117))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_423])])). 56.55/7.44 fof(f10614,plain,( 56.55/7.44 ( ! [X117] : (is_a_theorem(and(X117,sK80)) | ~is_a_theorem(X117)) ) | ~spl94_397), 56.55/7.44 inference(superposition,[],[f872,f10518])). 56.55/7.44 fof(f13172,plain,( 56.55/7.44 spl94_422 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4583,f4210,f2325,f13170])). 56.55/7.44 fof(f13170,plain,( 56.55/7.44 spl94_422 <=> ! [X18,X17,X16,X15] : implies(or(X17,and(not(X15),possibly(X16))),X18) = or(and(not(X17),or(X15,not(possibly(X16)))),X18)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_422])])). 56.55/7.44 fof(f4583,plain,( 56.55/7.44 ( ! [X18,X16,X17,X15] : (implies(or(X17,and(not(X15),possibly(X16))),X18) = or(and(not(X17),or(X15,not(possibly(X16)))),X18)) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1792,f4574])). 56.55/7.44 fof(f1792,plain,( 56.55/7.44 ( ! [X18,X16,X17,X15] : (implies(or(X17,and(not(X15),possibly(X16))),X18) = or(and(not(X17),or(X15,necessarily(not(X16)))),X18)) )), 56.55/7.44 inference(superposition,[],[f976,f967])). 56.55/7.44 fof(f13168,plain,( 56.55/7.44 spl94_421 | ~spl94_397), 56.55/7.44 inference(avatar_split_clause,[],[f10613,f10517,f13166])). 56.55/7.44 fof(f10613,plain,( 56.55/7.44 ( ! [X116] : (is_a_theorem(strict_implies(X116,and(X116,sK80)))) ) | ~spl94_397), 56.55/7.44 inference(superposition,[],[f1080,f10518])). 56.55/7.44 fof(f13164,plain,( 56.55/7.44 spl94_420 | ~spl94_397), 56.55/7.44 inference(avatar_split_clause,[],[f10541,f10517,f13162])). 56.55/7.44 fof(f13162,plain,( 56.55/7.44 spl94_420 <=> ! [X0] : necessarily(X0) = strict_implies(sK80,X0)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_420])])). 56.55/7.44 fof(f12738,plain,( 56.55/7.44 spl94_419 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f5425,f4205,f12736])). 56.55/7.44 fof(f12736,plain,( 56.55/7.44 spl94_419 <=> ! [X100,X101,X99] : (is_a_theorem(or(and(X99,or(X100,X101)),equiv(not(or(X100,X101)),X99))) | ~is_a_theorem(or(or(X100,X101),X99)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_419])])). 56.55/7.44 fof(f5425,plain,( 56.55/7.44 ( ! [X101,X99,X100] : (is_a_theorem(or(and(X99,or(X100,X101)),equiv(not(or(X100,X101)),X99))) | ~is_a_theorem(or(or(X100,X101),X99))) ) | ~spl94_257), 56.55/7.44 inference(forward_demodulation,[],[f5424,f5188])). 56.55/7.44 fof(f5424,plain,( 56.55/7.44 ( ! [X101,X99,X100] : (~is_a_theorem(or(or(X100,X101),X99)) | is_a_theorem(or(and(X99,or(X100,X101)),equiv(and(not(X100),not(X101)),X99)))) ) | ~spl94_257), 56.55/7.44 inference(forward_demodulation,[],[f5373,f970])). 56.55/7.44 fof(f5373,plain,( 56.55/7.44 ( ! [X101,X99,X100] : (~is_a_theorem(implies(not(or(X100,X101)),X99)) | is_a_theorem(or(and(X99,or(X100,X101)),equiv(and(not(X100),not(X101)),X99)))) ) | ~spl94_257), 56.55/7.44 inference(backward_demodulation,[],[f2002,f5188])). 56.55/7.44 fof(f2002,plain,( 56.55/7.44 ( ! [X101,X99,X100] : (is_a_theorem(or(and(X99,or(X100,X101)),equiv(and(not(X100),not(X101)),X99))) | ~is_a_theorem(implies(and(not(X100),not(X101)),X99))) )), 56.55/7.44 inference(forward_demodulation,[],[f1958,f970])). 56.55/7.44 fof(f1958,plain,( 56.55/7.44 ( ! [X101,X99,X100] : (is_a_theorem(implies(not(and(X99,or(X100,X101))),equiv(and(not(X100),not(X101)),X99))) | ~is_a_theorem(implies(and(not(X100),not(X101)),X99))) )), 56.55/7.44 inference(superposition,[],[f1144,f972])). 56.55/7.44 fof(f12565,plain,( 56.55/7.44 spl94_418 | ~spl94_191 | ~spl94_258 | ~spl94_270), 56.55/7.44 inference(avatar_split_clause,[],[f5073,f4842,f4210,f2325,f12563])). 56.55/7.44 fof(f12563,plain,( 56.55/7.44 spl94_418 <=> ! [X93,X92,X94] : (~is_a_theorem(implies(X94,not(possibly(X93)))) | is_a_theorem(or(and(X92,possibly(X93)),implies(or(X94,X92),not(possibly(X93))))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_418])])). 56.55/7.44 fof(f5073,plain,( 56.55/7.44 ( ! [X94,X92,X93] : (~is_a_theorem(implies(X94,not(possibly(X93)))) | is_a_theorem(or(and(X92,possibly(X93)),implies(or(X94,X92),not(possibly(X93)))))) ) | (~spl94_191 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f5072,f4843])). 56.55/7.44 fof(f5072,plain,( 56.55/7.44 ( ! [X94,X92,X93] : (is_a_theorem(or(and(X92,possibly(X93)),implies(or(X94,X92),not(possibly(X93))))) | ~is_a_theorem(implies(X94,necessarily(not(X93))))) ) | (~spl94_191 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f5071,f4843])). 56.55/7.44 fof(f5071,plain,( 56.55/7.44 ( ! [X94,X92,X93] : (is_a_theorem(or(and(X92,possibly(X93)),implies(or(X94,X92),necessarily(not(X93))))) | ~is_a_theorem(implies(X94,necessarily(not(X93))))) ) | (~spl94_191 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f4954,f4712])). 56.55/7.44 fof(f4712,plain,( 56.55/7.44 ( ! [X18,X16,X17] : (or(and(X16,possibly(X17)),X18) = implies(implies(X16,not(possibly(X17))),X18)) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1592,f4680])). 56.55/7.44 fof(f4954,plain,( 56.55/7.44 ( ! [X94,X92,X93] : (is_a_theorem(implies(implies(X92,not(possibly(X93))),implies(or(X94,X92),necessarily(not(X93))))) | ~is_a_theorem(implies(X94,necessarily(not(X93))))) ) | ~spl94_270), 56.55/7.44 inference(superposition,[],[f1287,f4843])). 56.55/7.44 fof(f12561,plain,( 56.55/7.44 spl94_417 | ~spl94_390 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11779,f11593,f10171,f12559])). 56.55/7.44 fof(f10171,plain,( 56.55/7.44 spl94_390 <=> ! [X8] : is_a_theorem(strict_implies(X8,sK80))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_390])])). 56.55/7.44 fof(f11779,plain,( 56.55/7.44 ( ! [X227] : (sK80 = strict_implies(X227,sK80)) ) | (~spl94_390 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f11594,f10172])). 56.55/7.44 fof(f10172,plain,( 56.55/7.44 ( ! [X8] : (is_a_theorem(strict_implies(X8,sK80))) ) | ~spl94_390), 56.55/7.44 inference(avatar_component_clause,[],[f10171])). 56.55/7.44 fof(f12557,plain,( 56.55/7.44 spl94_416 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4582,f4210,f2325,f12555])). 56.55/7.44 fof(f12555,plain,( 56.55/7.44 spl94_416 <=> ! [X18,X17,X16,X15] : implies(implies(X17,and(not(X15),possibly(X16))),X18) = or(and(X17,or(X15,not(possibly(X16)))),X18)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_416])])). 56.55/7.44 fof(f4582,plain,( 56.55/7.44 ( ! [X18,X16,X17,X15] : (implies(implies(X17,and(not(X15),possibly(X16))),X18) = or(and(X17,or(X15,not(possibly(X16)))),X18)) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1688,f4574])). 56.55/7.44 fof(f1688,plain,( 56.55/7.44 ( ! [X18,X16,X17,X15] : (implies(implies(X17,and(not(X15),possibly(X16))),X18) = or(and(X17,or(X15,necessarily(not(X16)))),X18)) )), 56.55/7.44 inference(superposition,[],[f975,f967])). 56.55/7.44 fof(f12553,plain,( 56.55/7.44 spl94_415 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11768,f11593,f12551])). 56.55/7.44 fof(f11768,plain,( 56.55/7.44 ( ! [X208] : (sK80 = strict_implies(X208,X208)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f1571])). 56.55/7.44 fof(f1571,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(strict_implies(X0,X0))) )), 56.55/7.44 inference(resolution,[],[f1559,f866])). 56.55/7.44 fof(f12549,plain,( 56.55/7.44 spl94_414 | ~spl94_398 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11761,f11593,f10701,f12547])). 56.55/7.44 fof(f10701,plain,( 56.55/7.44 spl94_398 <=> ! [X101] : is_a_theorem(or(sK80,X101))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_398])])). 56.55/7.44 fof(f11761,plain,( 56.55/7.44 ( ! [X202] : (sK80 = or(sK80,X202)) ) | (~spl94_398 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f11594,f10702])). 56.55/7.44 fof(f10702,plain,( 56.55/7.44 ( ! [X101] : (is_a_theorem(or(sK80,X101))) ) | ~spl94_398), 56.55/7.44 inference(avatar_component_clause,[],[f10701])). 56.55/7.44 fof(f12474,plain,( 56.55/7.44 spl94_413 | ~spl94_396 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11750,f11593,f10473,f12472])). 56.55/7.44 fof(f12472,plain,( 56.55/7.44 spl94_413 <=> ! [X175] : sK80 = or(X175,sK80)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_413])])). 56.55/7.44 fof(f10473,plain,( 56.55/7.44 spl94_396 <=> ! [X0] : is_a_theorem(or(X0,sK80))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_396])])). 56.55/7.44 fof(f11750,plain,( 56.55/7.44 ( ! [X175] : (sK80 = or(X175,sK80)) ) | (~spl94_396 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f11594,f10474])). 56.55/7.44 fof(f10474,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(or(X0,sK80))) ) | ~spl94_396), 56.55/7.44 inference(avatar_component_clause,[],[f10473])). 56.55/7.44 fof(f12349,plain,( 56.55/7.44 spl94_412 | ~spl94_388 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11685,f11593,f10163,f12347])). 56.55/7.44 fof(f12345,plain,( 56.55/7.44 spl94_411 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11673,f11593,f12343])). 56.55/7.44 fof(f11673,plain,( 56.55/7.44 ( ! [X2] : (sK80 = implies(X2,X2)) ) | ~spl94_403), 56.55/7.44 inference(resolution,[],[f11594,f1559])). 56.55/7.44 fof(f12170,plain,( 56.55/7.44 spl94_410 | ~spl94_230 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f12003,f11593,f3119,f12168])). 56.55/7.44 fof(f12168,plain,( 56.55/7.44 spl94_410 <=> ! [X0] : sK80 = strict_equiv(X0,X0)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_410])])). 56.55/7.44 fof(f3119,plain,( 56.55/7.44 spl94_230 <=> ! [X0] : strict_implies(X0,X0) = strict_equiv(X0,X0)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_230])])). 56.55/7.44 fof(f12003,plain,( 56.55/7.44 ( ! [X0] : (sK80 = strict_equiv(X0,X0)) ) | (~spl94_230 | ~spl94_403)), 56.55/7.44 inference(backward_demodulation,[],[f3120,f11768])). 56.55/7.44 fof(f3120,plain,( 56.55/7.44 ( ! [X0] : (strict_implies(X0,X0) = strict_equiv(X0,X0)) ) | ~spl94_230), 56.55/7.44 inference(avatar_component_clause,[],[f3119])). 56.55/7.44 fof(f12166,plain,( 56.55/7.44 spl94_409 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f5428,f4205,f12164])). 56.55/7.44 fof(f12164,plain,( 56.55/7.44 spl94_409 <=> ! [X10,X7,X9,X8] : (~is_a_theorem(or(or(X7,X8),X10)) | is_a_theorem(implies(implies(X9,X10),implies(implies(or(X7,X8),X9),X10))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_409])])). 56.55/7.44 fof(f5428,plain,( 56.55/7.44 ( ! [X10,X8,X9,X7] : (~is_a_theorem(or(or(X7,X8),X10)) | is_a_theorem(implies(implies(X9,X10),implies(implies(or(X7,X8),X9),X10)))) ) | ~spl94_257), 56.55/7.44 inference(forward_demodulation,[],[f5376,f970])). 56.55/7.44 fof(f5376,plain,( 56.55/7.44 ( ! [X10,X8,X9,X7] : (~is_a_theorem(implies(not(or(X7,X8)),X10)) | is_a_theorem(implies(implies(X9,X10),implies(implies(or(X7,X8),X9),X10)))) ) | ~spl94_257), 56.55/7.44 inference(backward_demodulation,[],[f2067,f5188])). 56.55/7.44 fof(f2067,plain,( 56.55/7.44 ( ! [X10,X8,X9,X7] : (is_a_theorem(implies(implies(X9,X10),implies(implies(or(X7,X8),X9),X10))) | ~is_a_theorem(implies(and(not(X7),not(X8)),X10))) )), 56.55/7.44 inference(superposition,[],[f1287,f976])). 56.55/7.44 fof(f12162,plain,( 56.55/7.44 spl94_408 | ~spl94_231 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11814,f11593,f3123,f12160])). 56.55/7.44 fof(f3123,plain,( 56.55/7.44 spl94_231 <=> ! [X1] : implies(X1,X1) = equiv(X1,X1)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_231])])). 56.55/7.44 fof(f11814,plain,( 56.55/7.44 ( ! [X1] : (sK80 = equiv(X1,X1)) ) | (~spl94_231 | ~spl94_403)), 56.55/7.44 inference(backward_demodulation,[],[f3124,f11673])). 56.55/7.44 fof(f3124,plain,( 56.55/7.44 ( ! [X1] : (implies(X1,X1) = equiv(X1,X1)) ) | ~spl94_231), 56.55/7.44 inference(avatar_component_clause,[],[f3123])). 56.55/7.44 fof(f12158,plain,( 56.55/7.44 spl94_407 | ~spl94_191 | ~spl94_258 | ~spl94_270), 56.55/7.44 inference(avatar_split_clause,[],[f5047,f4842,f4210,f2325,f12156])). 56.55/7.44 fof(f12156,plain,( 56.55/7.44 spl94_407 <=> ! [X32,X30,X31] : is_a_theorem(or(and(X30,possibly(X31)),or(and(X32,possibly(X31)),implies(or(X30,X32),not(possibly(X31))))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_407])])). 56.55/7.44 fof(f5047,plain,( 56.55/7.44 ( ! [X31,X32,X30] : (is_a_theorem(or(and(X30,possibly(X31)),or(and(X32,possibly(X31)),implies(or(X30,X32),not(possibly(X31))))))) ) | (~spl94_191 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f5046,f4712])). 56.55/7.44 fof(f5046,plain,( 56.55/7.44 ( ! [X31,X32,X30] : (is_a_theorem(or(and(X30,possibly(X31)),implies(implies(X32,not(possibly(X31))),implies(or(X30,X32),not(possibly(X31))))))) ) | (~spl94_191 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f5045,f4843])). 56.55/7.44 fof(f5045,plain,( 56.55/7.44 ( ! [X31,X32,X30] : (is_a_theorem(or(and(X30,possibly(X31)),implies(implies(X32,necessarily(not(X31))),implies(or(X30,X32),not(possibly(X31))))))) ) | (~spl94_191 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f5044,f4843])). 56.55/7.44 fof(f5044,plain,( 56.55/7.44 ( ! [X31,X32,X30] : (is_a_theorem(or(and(X30,possibly(X31)),implies(implies(X32,necessarily(not(X31))),implies(or(X30,X32),necessarily(not(X31))))))) ) | (~spl94_191 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f4929,f4712])). 56.55/7.44 fof(f4929,plain,( 56.55/7.44 ( ! [X31,X32,X30] : (is_a_theorem(implies(implies(X30,not(possibly(X31))),implies(implies(X32,necessarily(not(X31))),implies(or(X30,X32),necessarily(not(X31))))))) ) | ~spl94_270), 56.55/7.44 inference(superposition,[],[f501,f4843])). 56.55/7.44 fof(f12108,plain,( 56.55/7.44 spl94_406 | ~spl94_222), 56.55/7.44 inference(avatar_split_clause,[],[f4824,f2890,f12106])). 56.55/7.44 fof(f12106,plain,( 56.55/7.44 spl94_406 <=> ! [X13,X14,X12,X15] : is_a_theorem(or(implies(X15,and(not(X12),implies(X13,X14))),and(X15,or(X12,and(X13,not(X14))))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_406])])). 56.55/7.44 fof(f2890,plain,( 56.55/7.44 spl94_222 <=> ! [X2,X1] : is_a_theorem(or(implies(X1,X2),and(X1,not(X2))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_222])])). 56.55/7.44 fof(f4824,plain,( 56.55/7.44 ( ! [X14,X15,X12,X13] : (is_a_theorem(or(implies(X15,and(not(X12),implies(X13,X14))),and(X15,or(X12,and(X13,not(X14))))))) ) | ~spl94_222), 56.55/7.44 inference(superposition,[],[f2891,f968])). 56.55/7.44 fof(f2891,plain,( 56.55/7.44 ( ! [X2,X1] : (is_a_theorem(or(implies(X1,X2),and(X1,not(X2))))) ) | ~spl94_222), 56.55/7.44 inference(avatar_component_clause,[],[f2890])). 56.55/7.44 fof(f12104,plain,( 56.55/7.44 spl94_405 | ~spl94_395 | ~spl94_399 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f12057,f11593,f10772,f10213,f12101])). 56.55/7.44 fof(f10213,plain,( 56.55/7.44 spl94_395 <=> is_a_theorem(possibly(sK80))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_395])])). 56.55/7.44 fof(f10772,plain,( 56.55/7.44 spl94_399 <=> is_a_theorem(necessarily(possibly(sK80)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_399])])). 56.55/7.44 fof(f12057,plain,( 56.55/7.44 sK80 = necessarily(sK80) | (~spl94_395 | ~spl94_399 | ~spl94_403)), 56.55/7.44 inference(forward_demodulation,[],[f11808,f11767])). 56.55/7.44 fof(f11767,plain,( 56.55/7.44 sK80 = possibly(sK80) | (~spl94_395 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f11594,f10215])). 56.55/7.44 fof(f10215,plain,( 56.55/7.44 is_a_theorem(possibly(sK80)) | ~spl94_395), 56.55/7.44 inference(avatar_component_clause,[],[f10213])). 56.55/7.44 fof(f11808,plain,( 56.55/7.44 sK80 = necessarily(possibly(sK80)) | (~spl94_399 | ~spl94_403)), 56.55/7.44 inference(resolution,[],[f11594,f10774])). 56.55/7.44 fof(f10774,plain,( 56.55/7.44 is_a_theorem(necessarily(possibly(sK80))) | ~spl94_399), 56.55/7.44 inference(avatar_component_clause,[],[f10772])). 56.55/7.44 fof(f12064,plain,( 56.55/7.44 spl94_404 | ~spl94_395 | ~spl94_403), 56.55/7.44 inference(avatar_split_clause,[],[f11767,f11593,f10213,f12061])). 56.55/7.44 fof(f11595,plain,( 56.55/7.44 spl94_403 | ~spl94_402), 56.55/7.44 inference(avatar_split_clause,[],[f11434,f11427,f11593])). 56.55/7.44 fof(f11427,plain,( 56.55/7.44 spl94_402 <=> ! [X2] : equiv(X2,sK80) = X2), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_402])])). 56.55/7.44 fof(f11434,plain,( 56.55/7.44 ( ! [X2] : (~is_a_theorem(X2) | sK80 = X2) ) | ~spl94_402), 56.55/7.44 inference(superposition,[],[f488,f11428])). 56.55/7.44 fof(f11428,plain,( 56.55/7.44 ( ! [X2] : (equiv(X2,sK80) = X2) ) | ~spl94_402), 56.55/7.44 inference(avatar_component_clause,[],[f11427])). 56.55/7.44 fof(f11429,plain,( 56.55/7.44 spl94_402 | ~spl94_388 | ~spl94_397), 56.55/7.44 inference(avatar_split_clause,[],[f10647,f10517,f10163,f11427])). 56.55/7.44 fof(f10647,plain,( 56.55/7.44 ( ! [X2] : (equiv(X2,sK80) = X2) ) | (~spl94_388 | ~spl94_397)), 56.55/7.44 inference(forward_demodulation,[],[f10543,f10183])). 56.55/7.44 fof(f10183,plain,( 56.55/7.44 ( ! [X6,X7] : (and(implies(X6,sK80),X7) = X7) ) | ~spl94_388), 56.55/7.44 inference(resolution,[],[f10164,f9942])). 56.55/7.44 fof(f10543,plain,( 56.55/7.44 ( ! [X2] : (equiv(X2,sK80) = and(implies(X2,sK80),X2)) ) | ~spl94_397), 56.55/7.44 inference(superposition,[],[f472,f10518])). 56.55/7.44 fof(f11249,plain,( 56.55/7.44 spl94_401 | ~spl94_278 | ~spl94_399), 56.55/7.44 inference(avatar_split_clause,[],[f10800,f10772,f5563,f11246])). 56.55/7.44 fof(f11246,plain,( 56.55/7.44 spl94_401 <=> is_a_theorem(possibly(possibly(sK80)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_401])])). 56.55/7.44 fof(f5563,plain,( 56.55/7.44 spl94_278 <=> ! [X0] : (~is_a_theorem(necessarily(X0)) | is_a_theorem(possibly(X0)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_278])])). 56.55/7.44 fof(f10800,plain,( 56.55/7.44 is_a_theorem(possibly(possibly(sK80))) | (~spl94_278 | ~spl94_399)), 56.55/7.44 inference(resolution,[],[f10774,f5564])). 56.55/7.44 fof(f5564,plain,( 56.55/7.44 ( ! [X0] : (~is_a_theorem(necessarily(X0)) | is_a_theorem(possibly(X0))) ) | ~spl94_278), 56.55/7.44 inference(avatar_component_clause,[],[f5563])). 56.55/7.44 fof(f11027,plain,( 56.55/7.44 ~spl94_400 | ~spl94_335 | ~spl94_399), 56.55/7.44 inference(avatar_split_clause,[],[f10799,f10772,f6783,f11024])). 56.55/7.44 fof(f11024,plain,( 56.55/7.44 spl94_400 <=> is_a_theorem(not(possibly(sK80)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_400])])). 56.55/7.44 fof(f10799,plain,( 56.55/7.44 ~is_a_theorem(not(possibly(sK80))) | (~spl94_335 | ~spl94_399)), 56.55/7.44 inference(resolution,[],[f10774,f6784])). 56.55/7.44 fof(f10775,plain,( 56.55/7.44 spl94_399 | ~spl94_397), 56.55/7.44 inference(avatar_split_clause,[],[f10637,f10517,f10772])). 56.55/7.44 fof(f10637,plain,( 56.55/7.44 is_a_theorem(necessarily(possibly(sK80))) | ~spl94_397), 56.55/7.44 inference(superposition,[],[f490,f10518])). 56.55/7.44 fof(f10703,plain,( 56.55/7.44 spl94_398 | ~spl94_277 | ~spl94_397), 56.55/7.44 inference(avatar_split_clause,[],[f10605,f10517,f5525,f10701])). 56.55/7.44 fof(f10605,plain,( 56.55/7.44 ( ! [X101] : (is_a_theorem(or(sK80,X101))) ) | (~spl94_277 | ~spl94_397)), 56.55/7.44 inference(superposition,[],[f5526,f10518])). 56.55/7.44 fof(f10519,plain,( 56.55/7.44 spl94_397 | ~spl94_257 | ~spl94_386), 56.55/7.44 inference(avatar_split_clause,[],[f10144,f10083,f4205,f10517])). 56.55/7.44 fof(f10144,plain,( 56.55/7.44 ( ! [X32] : (implies(sK80,X32) = X32) ) | (~spl94_257 | ~spl94_386)), 56.55/7.44 inference(forward_demodulation,[],[f10114,f4206])). 56.55/7.44 fof(f10114,plain,( 56.55/7.44 ( ! [X32] : (not(not(X32)) = implies(sK80,X32)) ) | ~spl94_386), 56.55/7.44 inference(superposition,[],[f468,f10084])). 56.55/7.44 fof(f10475,plain,( 56.55/7.44 spl94_396 | ~spl94_388), 56.55/7.44 inference(avatar_split_clause,[],[f10184,f10163,f10473])). 56.55/7.44 fof(f10184,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(or(X0,sK80))) ) | ~spl94_388), 56.55/7.44 inference(superposition,[],[f10164,f970])). 56.55/7.44 fof(f10216,plain,( 56.55/7.44 spl94_395 | ~spl94_278 | ~spl94_393), 56.55/7.44 inference(avatar_split_clause,[],[f10209,f10200,f5563,f10213])). 56.55/7.44 fof(f10200,plain,( 56.55/7.44 spl94_393 <=> is_a_theorem(necessarily(sK80))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_393])])). 56.55/7.44 fof(f10209,plain,( 56.55/7.44 is_a_theorem(possibly(sK80)) | (~spl94_278 | ~spl94_393)), 56.55/7.44 inference(resolution,[],[f10202,f5564])). 56.55/7.44 fof(f10202,plain,( 56.55/7.44 is_a_theorem(necessarily(sK80)) | ~spl94_393), 56.55/7.44 inference(avatar_component_clause,[],[f10200])). 56.55/7.44 fof(f10207,plain,( 56.55/7.44 spl94_394 | ~spl94_191 | ~spl94_258 | ~spl94_280), 56.55/7.44 inference(avatar_split_clause,[],[f8229,f5571,f4210,f2325,f10205])). 56.55/7.44 fof(f10205,plain,( 56.55/7.44 spl94_394 <=> ! [X10,X7,X9,X8] : is_a_theorem(implies(implies(or(X7,X8),implies(X9,X10)),or(implies(X9,X10),not(or(X7,X8)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_394])])). 56.55/7.44 fof(f8229,plain,( 56.55/7.44 ( ! [X10,X8,X9,X7] : (is_a_theorem(implies(implies(or(X7,X8),implies(X9,X10)),or(implies(X9,X10),not(or(X7,X8)))))) ) | (~spl94_191 | ~spl94_258 | ~spl94_280)), 56.55/7.44 inference(backward_demodulation,[],[f4655,f8191])). 56.55/7.44 fof(f4655,plain,( 56.55/7.44 ( ! [X10,X8,X9,X7] : (is_a_theorem(implies(implies(or(X7,X8),implies(X9,X10)),implies(and(X9,not(X10)),not(or(X7,X8)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1843,f4604])). 56.55/7.44 fof(f1843,plain,( 56.55/7.44 ( ! [X10,X8,X9,X7] : (is_a_theorem(implies(implies(or(X7,X8),implies(X9,X10)),not(and(and(X9,not(X10)),or(X7,X8)))))) )), 56.55/7.44 inference(forward_demodulation,[],[f1836,f972])). 56.55/7.44 fof(f1836,plain,( 56.55/7.44 ( ! [X10,X8,X9,X7] : (is_a_theorem(implies(implies(or(X7,X8),implies(X9,X10)),implies(and(X9,not(X10)),and(not(X7),not(X8)))))) )), 56.55/7.44 inference(superposition,[],[f1006,f976])). 56.55/7.44 fof(f10203,plain,( 56.55/7.44 spl94_393 | ~spl94_314 | ~spl94_390), 56.55/7.44 inference(avatar_split_clause,[],[f10194,f10171,f6162,f10200])). 56.55/7.44 fof(f10194,plain,( 56.55/7.44 is_a_theorem(necessarily(sK80)) | (~spl94_314 | ~spl94_390)), 56.55/7.44 inference(superposition,[],[f10172,f6163])). 56.55/7.44 fof(f10198,plain,( 56.55/7.44 spl94_392 | ~spl94_191 | ~spl94_257 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f5443,f4210,f4205,f2325,f10196])). 56.55/7.44 fof(f10196,plain,( 56.55/7.44 spl94_392 <=> ! [X10,X7,X9,X8] : is_a_theorem(implies(implies(or(X7,X8),or(X9,X10)),or(or(X9,X10),not(or(X7,X8)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_392])])). 56.55/7.44 fof(f5443,plain,( 56.55/7.44 ( ! [X10,X8,X9,X7] : (is_a_theorem(implies(implies(or(X7,X8),or(X9,X10)),or(or(X9,X10),not(or(X7,X8)))))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258)), 56.55/7.44 inference(forward_demodulation,[],[f5405,f970])). 56.55/7.44 fof(f5405,plain,( 56.55/7.44 ( ! [X10,X8,X9,X7] : (is_a_theorem(implies(implies(or(X7,X8),or(X9,X10)),implies(not(or(X9,X10)),not(or(X7,X8)))))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f4656,f5188])). 56.55/7.44 fof(f4656,plain,( 56.55/7.44 ( ! [X10,X8,X9,X7] : (is_a_theorem(implies(implies(or(X7,X8),or(X9,X10)),implies(and(not(X9),not(X10)),not(or(X7,X8)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f2046,f4604])). 56.55/7.44 fof(f2046,plain,( 56.55/7.44 ( ! [X10,X8,X9,X7] : (is_a_theorem(implies(implies(or(X7,X8),or(X9,X10)),not(and(and(not(X9),not(X10)),or(X7,X8)))))) )), 56.55/7.44 inference(forward_demodulation,[],[f2026,f972])). 56.55/7.44 fof(f2026,plain,( 56.55/7.44 ( ! [X10,X8,X9,X7] : (is_a_theorem(implies(implies(or(X7,X8),or(X9,X10)),implies(and(not(X9),not(X10)),and(not(X7),not(X8)))))) )), 56.55/7.44 inference(superposition,[],[f1007,f976])). 56.55/7.44 fof(f10177,plain,( 56.55/7.44 spl94_391 | ~spl94_222), 56.55/7.44 inference(avatar_split_clause,[],[f4823,f2890,f10175])). 56.55/7.44 fof(f4823,plain,( 56.55/7.44 ( ! [X10,X11,X8,X9] : (is_a_theorem(or(implies(X11,and(X8,implies(X9,X10))),and(X11,implies(X8,and(X9,not(X10))))))) ) | ~spl94_222), 56.55/7.44 inference(superposition,[],[f2891,f954])). 56.55/7.44 fof(f10173,plain,( 56.55/7.44 spl94_390 | ~spl94_386), 56.55/7.44 inference(avatar_split_clause,[],[f10098,f10083,f10171])). 56.55/7.44 fof(f10098,plain,( 56.55/7.44 ( ! [X8] : (is_a_theorem(strict_implies(X8,sK80))) ) | ~spl94_386), 56.55/7.44 inference(superposition,[],[f1084,f10084])). 56.55/7.44 fof(f10169,plain,( 56.55/7.44 spl94_389 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4632,f4210,f2325,f10167])). 56.55/7.44 fof(f10167,plain,( 56.55/7.44 spl94_389 <=> ! [X102,X105,X104,X103] : (is_a_theorem(or(and(X102,or(X103,X104)),implies(X105,not(or(X103,X104))))) | ~is_a_theorem(implies(X105,X102)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_389])])). 56.55/7.44 fof(f4632,plain,( 56.55/7.44 ( ! [X104,X102,X105,X103] : (is_a_theorem(or(and(X102,or(X103,X104)),implies(X105,not(or(X103,X104))))) | ~is_a_theorem(implies(X105,X102))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f2004,f4604])). 56.55/7.44 fof(f2004,plain,( 56.55/7.44 ( ! [X104,X102,X105,X103] : (is_a_theorem(or(and(X102,or(X103,X104)),not(and(X105,or(X103,X104))))) | ~is_a_theorem(implies(X105,X102))) )), 56.55/7.44 inference(forward_demodulation,[],[f2003,f972])). 56.55/7.44 fof(f2003,plain,( 56.55/7.44 ( ! [X104,X102,X105,X103] : (is_a_theorem(or(and(X102,or(X103,X104)),implies(X105,and(not(X103),not(X104))))) | ~is_a_theorem(implies(X105,X102))) )), 56.55/7.44 inference(forward_demodulation,[],[f1959,f970])). 56.55/7.44 fof(f1959,plain,( 56.55/7.44 ( ! [X104,X102,X105,X103] : (is_a_theorem(implies(not(and(X102,or(X103,X104))),implies(X105,and(not(X103),not(X104))))) | ~is_a_theorem(implies(X105,X102))) )), 56.55/7.44 inference(superposition,[],[f1151,f972])). 56.55/7.44 fof(f10165,plain,( 56.55/7.44 spl94_388 | ~spl94_386), 56.55/7.44 inference(avatar_split_clause,[],[f10090,f10083,f10163])). 56.55/7.44 fof(f10090,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(implies(X0,sK80))) ) | ~spl94_386), 56.55/7.44 inference(superposition,[],[f483,f10084])). 56.55/7.44 fof(f10089,plain,( 56.55/7.44 spl94_387 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4631,f4210,f2325,f10087])). 56.55/7.44 fof(f10087,plain,( 56.55/7.44 spl94_387 <=> ! [X48,X47,X46,X45] : is_a_theorem(implies(implies(X45,X48),or(and(X48,or(X46,X47)),implies(X45,not(or(X46,X47))))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_387])])). 56.55/7.44 fof(f4631,plain,( 56.55/7.44 ( ! [X48,X46,X47,X45] : (is_a_theorem(implies(implies(X45,X48),or(and(X48,or(X46,X47)),implies(X45,not(or(X46,X47))))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1982,f4604])). 56.55/7.44 fof(f1982,plain,( 56.55/7.44 ( ! [X48,X46,X47,X45] : (is_a_theorem(implies(implies(X45,X48),or(and(X48,or(X46,X47)),not(and(X45,or(X46,X47))))))) )), 56.55/7.44 inference(forward_demodulation,[],[f1981,f970])). 56.55/7.44 fof(f1981,plain,( 56.55/7.44 ( ! [X48,X46,X47,X45] : (is_a_theorem(implies(implies(X45,X48),or(and(X48,implies(not(X46),X47)),not(and(X45,or(X46,X47))))))) )), 56.55/7.44 inference(forward_demodulation,[],[f1943,f1685])). 56.55/7.44 fof(f1943,plain,( 56.55/7.44 ( ! [X48,X46,X47,X45] : (is_a_theorem(implies(implies(X45,X48),implies(implies(X48,and(not(X46),not(X47))),not(and(X45,or(X46,X47))))))) )), 56.55/7.44 inference(superposition,[],[f500,f972])). 56.55/7.44 fof(f10085,plain,( 56.55/7.44 spl94_386 | ~spl94_33), 56.55/7.44 inference(avatar_split_clause,[],[f10077,f662,f10083])). 56.55/7.44 fof(f10077,plain,( 56.55/7.44 ( ! [X398] : (and(sK80,X398) = X398) ) | ~spl94_33), 56.55/7.44 inference(resolution,[],[f9942,f664])). 56.55/7.44 fof(f10081,plain,( 56.55/7.44 spl94_385 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4578,f4210,f2325,f10079])). 56.55/7.44 fof(f4578,plain,( 56.55/7.44 ( ! [X16,X17,X15] : (not(strict_implies(X17,and(not(X15),possibly(X16)))) = possibly(and(X17,or(X15,not(possibly(X16)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1643,f4574])). 56.55/7.44 fof(f1643,plain,( 56.55/7.44 ( ! [X16,X17,X15] : (not(strict_implies(X17,and(not(X15),possibly(X16)))) = possibly(and(X17,or(X15,necessarily(not(X16)))))) )), 56.55/7.44 inference(superposition,[],[f956,f967])). 56.55/7.44 fof(f9939,plain,( 56.55/7.44 spl94_384 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4577,f4210,f2325,f9937])). 56.55/7.44 fof(f9937,plain,( 56.55/7.44 spl94_384 <=> ! [X9,X8,X7] : or(X9,and(not(X7),possibly(X8))) = not(and(not(X9),or(X7,not(possibly(X8)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_384])])). 56.55/7.44 fof(f4577,plain,( 56.55/7.44 ( ! [X8,X9,X7] : (or(X9,and(not(X7),possibly(X8))) = not(and(not(X9),or(X7,not(possibly(X8)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1640,f4574])). 56.55/7.44 fof(f1640,plain,( 56.55/7.44 ( ! [X8,X9,X7] : (or(X9,and(not(X7),possibly(X8))) = not(and(not(X9),or(X7,necessarily(not(X8)))))) )), 56.55/7.44 inference(superposition,[],[f471,f967])). 56.55/7.44 fof(f9764,plain,( 56.55/7.44 ~spl94_383 | spl94_285), 56.55/7.44 inference(avatar_split_clause,[],[f9579,f5733,f9761])). 56.55/7.44 fof(f9579,plain,( 56.55/7.44 ~is_a_theorem(necessarily(and(sK31,sK32))) | spl94_285), 56.55/7.44 inference(resolution,[],[f9191,f5735])). 56.55/7.44 fof(f9191,plain,( 56.55/7.44 ( ! [X4,X5] : (is_a_theorem(or(X4,X5)) | ~is_a_theorem(necessarily(X4))) )), 56.55/7.44 inference(forward_demodulation,[],[f9180,f970])). 56.55/7.44 fof(f9180,plain,( 56.55/7.44 ( ! [X4,X5] : (~is_a_theorem(necessarily(X4)) | is_a_theorem(implies(not(X4),X5))) )), 56.55/7.44 inference(resolution,[],[f3206,f879])). 56.55/7.44 fof(f9622,plain,( 56.55/7.44 ~spl94_382 | spl94_89), 56.55/7.44 inference(avatar_split_clause,[],[f9580,f939,f9619])). 56.55/7.44 fof(f9580,plain,( 56.55/7.44 ~is_a_theorem(necessarily(sK12)) | spl94_89), 56.55/7.44 inference(resolution,[],[f9191,f941])). 56.55/7.44 fof(f9524,plain,( 56.55/7.44 ~spl94_381 | spl94_324), 56.55/7.44 inference(avatar_split_clause,[],[f9176,f6410,f9521])). 56.55/7.44 fof(f9176,plain,( 56.55/7.44 ~is_a_theorem(necessarily(sK27)) | spl94_324), 56.55/7.44 inference(resolution,[],[f3206,f6412])). 56.55/7.44 fof(f9378,plain,( 56.55/7.44 ~spl94_380 | spl94_327), 56.55/7.44 inference(avatar_split_clause,[],[f9177,f6432,f9375])). 56.55/7.44 fof(f9177,plain,( 56.55/7.44 ~is_a_theorem(necessarily(sK28)) | spl94_327), 56.55/7.44 inference(resolution,[],[f3206,f6434])). 56.55/7.44 fof(f9198,plain,( 56.55/7.44 ~spl94_379 | spl94_295), 56.55/7.44 inference(avatar_split_clause,[],[f9175,f5868,f9195])). 56.55/7.44 fof(f9175,plain,( 56.55/7.44 ~is_a_theorem(necessarily(sK82)) | spl94_295), 56.55/7.44 inference(resolution,[],[f3206,f5870])). 56.55/7.44 fof(f8827,plain,( 56.55/7.44 spl94_378 | ~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_270), 56.55/7.44 inference(avatar_split_clause,[],[f5351,f4842,f4210,f4205,f2325,f8825])). 56.55/7.44 fof(f8825,plain,( 56.55/7.44 spl94_378 <=> ! [X76,X75] : (is_a_theorem(or(and(X75,possibly(X76)),equiv(not(possibly(X76)),X75))) | ~is_a_theorem(or(possibly(X76),X75)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_378])])). 56.55/7.44 fof(f5351,plain,( 56.55/7.44 ( ! [X76,X75] : (is_a_theorem(or(and(X75,possibly(X76)),equiv(not(possibly(X76)),X75))) | ~is_a_theorem(or(possibly(X76),X75))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f5350,f5186])). 56.55/7.44 fof(f5350,plain,( 56.55/7.44 ( ! [X76,X75] : (~is_a_theorem(or(possibly(X76),X75)) | is_a_theorem(or(and(X75,possibly(X76)),equiv(necessarily(not(X76)),X75)))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f5308,f970])). 56.55/7.44 fof(f5308,plain,( 56.55/7.44 ( ! [X76,X75] : (~is_a_theorem(implies(not(possibly(X76)),X75)) | is_a_theorem(or(and(X75,possibly(X76)),equiv(necessarily(not(X76)),X75)))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(backward_demodulation,[],[f5064,f5186])). 56.55/7.44 fof(f5064,plain,( 56.55/7.44 ( ! [X76,X75] : (is_a_theorem(or(and(X75,possibly(X76)),equiv(necessarily(not(X76)),X75))) | ~is_a_theorem(implies(necessarily(not(X76)),X75))) ) | (~spl94_191 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f4948,f4712])). 56.55/7.44 fof(f4948,plain,( 56.55/7.44 ( ! [X76,X75] : (is_a_theorem(implies(implies(X75,not(possibly(X76))),equiv(necessarily(not(X76)),X75))) | ~is_a_theorem(implies(necessarily(not(X76)),X75))) ) | ~spl94_270), 56.55/7.44 inference(superposition,[],[f1144,f4843])). 56.55/7.44 fof(f8823,plain,( 56.55/7.44 spl94_377 | ~spl94_189), 56.55/7.44 inference(avatar_split_clause,[],[f2304,f2281,f8821])). 56.55/7.44 fof(f8821,plain,( 56.55/7.44 spl94_377 <=> ! [X6,X7] : (is_a_theorem(strict_equiv(and(X6,X7),X7)) | ~is_a_theorem(X6))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_377])])). 56.55/7.44 fof(f2304,plain,( 56.55/7.44 ( ! [X6,X7] : (is_a_theorem(strict_equiv(and(X6,X7),X7)) | ~is_a_theorem(X6)) ) | ~spl94_189), 56.55/7.44 inference(subsumption_resolution,[],[f2288,f1085])). 56.55/7.44 fof(f2288,plain,( 56.55/7.44 ( ! [X6,X7] : (~is_a_theorem(strict_implies(and(X6,X7),X7)) | is_a_theorem(strict_equiv(and(X6,X7),X7)) | ~is_a_theorem(X6)) ) | ~spl94_189), 56.55/7.44 inference(resolution,[],[f2282,f1308])). 56.55/7.44 fof(f1308,plain,( 56.55/7.44 ( ! [X0,X1] : (is_a_theorem(strict_implies(X1,and(X0,X1))) | ~is_a_theorem(X0)) )), 56.55/7.44 inference(resolution,[],[f872,f866])). 56.55/7.44 fof(f8812,plain,( 56.55/7.44 spl94_376 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f5320,f4205,f8810])). 56.55/7.44 fof(f8810,plain,( 56.55/7.44 spl94_376 <=> ! [X2,X0,X1] : (~is_a_theorem(or(possibly(X0),X2)) | is_a_theorem(implies(implies(X1,X2),implies(implies(possibly(X0),X1),X2))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_376])])). 56.55/7.44 fof(f5320,plain,( 56.55/7.44 ( ! [X2,X0,X1] : (~is_a_theorem(or(possibly(X0),X2)) | is_a_theorem(implies(implies(X1,X2),implies(implies(possibly(X0),X1),X2)))) ) | ~spl94_257), 56.55/7.44 inference(forward_demodulation,[],[f5249,f970])). 56.55/7.44 fof(f5249,plain,( 56.55/7.44 ( ! [X2,X0,X1] : (~is_a_theorem(implies(not(possibly(X0)),X2)) | is_a_theorem(implies(implies(X1,X2),implies(implies(possibly(X0),X1),X2)))) ) | ~spl94_257), 56.55/7.44 inference(backward_demodulation,[],[f2065,f5186])). 56.55/7.44 fof(f2065,plain,( 56.55/7.44 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X1,X2),implies(implies(possibly(X0),X1),X2))) | ~is_a_theorem(implies(necessarily(not(X0)),X2))) )), 56.55/7.44 inference(superposition,[],[f1287,f974])). 56.55/7.44 fof(f8801,plain,( 56.55/7.44 spl94_375 | ~spl94_270), 56.55/7.44 inference(avatar_split_clause,[],[f5000,f4842,f8799])). 56.55/7.44 fof(f8799,plain,( 56.55/7.44 spl94_375 <=> ! [X9,X8,X10] : is_a_theorem(implies(or(X10,possibly(and(X8,possibly(X9)))),implies(strict_implies(X8,not(possibly(X9))),X10)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_375])])). 56.55/7.44 fof(f5000,plain,( 56.55/7.44 ( ! [X10,X8,X9] : (is_a_theorem(implies(or(X10,possibly(and(X8,possibly(X9)))),implies(strict_implies(X8,not(possibly(X9))),X10)))) ) | ~spl94_270), 56.55/7.44 inference(backward_demodulation,[],[f1628,f4996])). 56.55/7.44 fof(f1628,plain,( 56.55/7.44 ( ! [X10,X8,X9] : (is_a_theorem(implies(or(X10,possibly(and(X8,possibly(X9)))),implies(strict_implies(X8,necessarily(not(X9))),X10)))) )), 56.55/7.44 inference(forward_demodulation,[],[f1619,f467])). 56.55/7.44 fof(f1619,plain,( 56.55/7.44 ( ! [X10,X8,X9] : (is_a_theorem(implies(or(X10,possibly(and(X8,possibly(X9)))),implies(necessarily(implies(X8,necessarily(not(X9)))),X10)))) )), 56.55/7.44 inference(superposition,[],[f1005,f953])). 56.55/7.44 fof(f1005,plain,( 56.55/7.44 ( ! [X0,X1] : (is_a_theorem(implies(or(X1,possibly(X0)),implies(necessarily(not(X0)),X1)))) )), 56.55/7.44 inference(superposition,[],[f979,f470])). 56.55/7.44 fof(f8797,plain,( 56.55/7.44 ~spl94_374 | spl94_127), 56.55/7.44 inference(avatar_split_clause,[],[f1237,f1224,f8794])). 56.55/7.44 fof(f1237,plain,( 56.55/7.44 ~is_a_theorem(strict_implies(not(possibly(sK79)),not(possibly(sK78)))) | spl94_127), 56.55/7.44 inference(resolution,[],[f1226,f1077])). 56.55/7.44 fof(f8776,plain,( 56.55/7.44 spl94_373 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4710,f4210,f2325,f8774])). 56.55/7.44 fof(f8774,plain,( 56.55/7.44 spl94_373 <=> ! [X9,X8,X10] : or(and(X8,possibly(X9)),X10) = not(and(implies(X8,not(possibly(X9))),not(X10)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_373])])). 56.55/7.44 fof(f4710,plain,( 56.55/7.44 ( ! [X10,X8,X9] : (or(and(X8,possibly(X9)),X10) = not(and(implies(X8,not(possibly(X9))),not(X10)))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1589,f4680])). 56.55/7.44 fof(f1589,plain,( 56.55/7.44 ( ! [X10,X8,X9] : (or(and(X8,possibly(X9)),X10) = not(and(implies(X8,necessarily(not(X9))),not(X10)))) )), 56.55/7.44 inference(superposition,[],[f471,f953])). 56.55/7.44 fof(f8744,plain,( 56.55/7.44 spl94_372 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4709,f4210,f2325,f8742])). 56.55/7.44 fof(f8742,plain,( 56.55/7.44 spl94_372 <=> ! [X6,X5,X7] : or(X7,and(X5,possibly(X6))) = not(and(not(X7),implies(X5,not(possibly(X6)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_372])])). 56.55/7.44 fof(f4709,plain,( 56.55/7.44 ( ! [X6,X7,X5] : (or(X7,and(X5,possibly(X6))) = not(and(not(X7),implies(X5,not(possibly(X6)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1588,f4680])). 56.55/7.44 fof(f1588,plain,( 56.55/7.44 ( ! [X6,X7,X5] : (or(X7,and(X5,possibly(X6))) = not(and(not(X7),implies(X5,necessarily(not(X6)))))) )), 56.55/7.44 inference(superposition,[],[f471,f953])). 56.55/7.44 fof(f8731,plain,( 56.55/7.44 spl94_371 | ~spl94_313 | ~spl94_332), 56.55/7.44 inference(avatar_split_clause,[],[f6699,f6565,f6151,f8729])). 56.55/7.44 fof(f8729,plain,( 56.55/7.44 spl94_371 <=> ! [X18] : is_a_theorem(strict_implies(not(X18),not(necessarily(X18))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_371])])). 56.55/7.44 fof(f6699,plain,( 56.55/7.44 ( ! [X18] : (is_a_theorem(strict_implies(not(X18),not(necessarily(X18))))) ) | (~spl94_313 | ~spl94_332)), 56.55/7.44 inference(superposition,[],[f6566,f6152])). 56.55/7.44 fof(f8727,plain,( 56.55/7.44 spl94_370 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4580,f4210,f2325,f8725])). 56.55/7.44 fof(f8725,plain,( 56.55/7.44 spl94_370 <=> ! [X29,X27,X28] : (~is_a_theorem(or(X29,or(X27,not(possibly(X28))))) | is_a_theorem(implies(and(not(X27),possibly(X28)),X29)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_370])])). 56.55/7.44 fof(f4580,plain,( 56.55/7.44 ( ! [X28,X29,X27] : (~is_a_theorem(or(X29,or(X27,not(possibly(X28))))) | is_a_theorem(implies(and(not(X27),possibly(X28)),X29))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1647,f4574])). 56.55/7.44 fof(f1647,plain,( 56.55/7.44 ( ! [X28,X29,X27] : (~is_a_theorem(or(X29,or(X27,necessarily(not(X28))))) | is_a_theorem(implies(and(not(X27),possibly(X28)),X29))) )), 56.55/7.44 inference(superposition,[],[f1004,f967])). 56.55/7.44 fof(f8723,plain,( 56.55/7.44 spl94_369 | ~spl94_333), 56.55/7.44 inference(avatar_split_clause,[],[f6640,f6607,f8721])). 56.55/7.44 fof(f8721,plain,( 56.55/7.44 spl94_369 <=> ! [X1] : (is_a_theorem(not(necessarily(X1))) | ~is_a_theorem(not(X1)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_369])])). 56.55/7.44 fof(f6640,plain,( 56.55/7.44 ( ! [X1] : (is_a_theorem(not(necessarily(X1))) | ~is_a_theorem(not(X1))) ) | ~spl94_333), 56.55/7.44 inference(resolution,[],[f6608,f1339])). 56.55/7.44 fof(f8719,plain,( 56.55/7.44 spl94_368 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4576,f4210,f2325,f8717])). 56.55/7.44 fof(f8717,plain,( 56.55/7.44 spl94_368 <=> ! [X2,X4,X3] : implies(X4,and(not(X2),possibly(X3))) = not(and(X4,or(X2,not(possibly(X3)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_368])])). 56.55/7.44 fof(f4576,plain,( 56.55/7.44 ( ! [X2,X3,X4] : (implies(X4,and(not(X2),possibly(X3))) = not(and(X4,or(X2,not(possibly(X3)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1638,f4574])). 56.55/7.44 fof(f1638,plain,( 56.55/7.44 ( ! [X2,X3,X4] : (implies(X4,and(not(X2),possibly(X3))) = not(and(X4,or(X2,necessarily(not(X3)))))) )), 56.55/7.44 inference(superposition,[],[f468,f967])). 56.55/7.44 fof(f8708,plain,( 56.55/7.44 spl94_367 | ~spl94_250 | ~spl94_335), 56.55/7.44 inference(avatar_split_clause,[],[f6787,f6783,f3814,f8706])). 56.55/7.44 fof(f6787,plain,( 56.55/7.44 ( ! [X1] : (~is_a_theorem(not(possibly(X1))) | ~is_a_theorem(necessarily(X1))) ) | (~spl94_250 | ~spl94_335)), 56.55/7.44 inference(resolution,[],[f6784,f3815])). 56.55/7.44 fof(f8361,plain,( 56.55/7.44 spl94_366 | ~spl94_75 | ~spl94_345), 56.55/7.44 inference(avatar_split_clause,[],[f8308,f7340,f853,f8359])). 56.55/7.44 fof(f7933,plain,( 56.55/7.44 ~spl94_365 | ~spl94_312 | spl94_354), 56.55/7.44 inference(avatar_split_clause,[],[f7659,f7612,f6140,f7930])). 56.55/7.44 fof(f7659,plain,( 56.55/7.44 ~is_a_theorem(not(possibly(sK10))) | (~spl94_312 | spl94_354)), 56.55/7.44 inference(forward_demodulation,[],[f7656,f6141])). 56.55/7.44 fof(f7656,plain,( 56.55/7.44 ~is_a_theorem(necessarily(not(sK10))) | spl94_354), 56.55/7.44 inference(resolution,[],[f7614,f3267])). 56.55/7.44 fof(f7771,plain,( 56.55/7.44 ~spl94_364 | spl94_354), 56.55/7.44 inference(avatar_split_clause,[],[f7658,f7612,f7768])). 56.55/7.44 fof(f7658,plain,( 56.55/7.44 ~is_a_theorem(not(sK10)) | spl94_354), 56.55/7.44 inference(resolution,[],[f7614,f871])). 56.55/7.44 fof(f7766,plain,( 56.55/7.44 ~spl94_363 | spl94_354), 56.55/7.44 inference(avatar_split_clause,[],[f7657,f7612,f7763])). 56.55/7.44 fof(f7657,plain,( 56.55/7.44 ~is_a_theorem(not(sK9)) | spl94_354), 56.55/7.44 inference(resolution,[],[f7614,f1479])). 56.55/7.44 fof(f7655,plain,( 56.55/7.44 spl94_362 | ~spl94_191 | ~spl94_257 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f5333,f4210,f4205,f2325,f7653])). 56.55/7.44 fof(f7653,plain,( 56.55/7.44 spl94_362 <=> ! [X45,X46,X47] : is_a_theorem(implies(implies(or(X45,X46),possibly(X47)),or(possibly(X47),not(or(X45,X46)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_362])])). 56.55/7.44 fof(f5333,plain,( 56.55/7.44 ( ! [X46,X47,X45] : (is_a_theorem(implies(implies(or(X45,X46),possibly(X47)),or(possibly(X47),not(or(X45,X46)))))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258)), 56.55/7.44 inference(forward_demodulation,[],[f5268,f970])). 56.55/7.44 fof(f5268,plain,( 56.55/7.44 ( ! [X46,X47,X45] : (is_a_theorem(implies(implies(or(X45,X46),possibly(X47)),implies(not(possibly(X47)),not(or(X45,X46)))))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f4652,f5186])). 56.55/7.44 fof(f4652,plain,( 56.55/7.44 ( ! [X46,X47,X45] : (is_a_theorem(implies(implies(or(X45,X46),possibly(X47)),implies(necessarily(not(X47)),not(or(X45,X46)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1828,f4604])). 56.55/7.44 fof(f1828,plain,( 56.55/7.44 ( ! [X46,X47,X45] : (is_a_theorem(implies(implies(or(X45,X46),possibly(X47)),not(and(necessarily(not(X47)),or(X45,X46)))))) )), 56.55/7.44 inference(forward_demodulation,[],[f1810,f972])). 56.55/7.44 fof(f1810,plain,( 56.55/7.44 ( ! [X46,X47,X45] : (is_a_theorem(implies(implies(or(X45,X46),possibly(X47)),implies(necessarily(not(X47)),and(not(X45),not(X46)))))) )), 56.55/7.44 inference(superposition,[],[f1005,f976])). 56.55/7.44 fof(f7650,plain,( 56.55/7.44 ~spl94_361 | ~spl94_312 | spl94_352), 56.55/7.44 inference(avatar_split_clause,[],[f7619,f7603,f6140,f7647])). 56.55/7.44 fof(f7619,plain,( 56.55/7.44 ~is_a_theorem(not(possibly(sK16))) | (~spl94_312 | spl94_352)), 56.55/7.44 inference(forward_demodulation,[],[f7616,f6141])). 56.55/7.44 fof(f7616,plain,( 56.55/7.44 ~is_a_theorem(necessarily(not(sK16))) | spl94_352), 56.55/7.44 inference(resolution,[],[f7605,f3267])). 56.55/7.44 fof(f7645,plain,( 56.55/7.44 spl94_360 | ~spl94_191 | ~spl94_258 | ~spl94_270), 56.55/7.44 inference(avatar_split_clause,[],[f5069,f4842,f4210,f2325,f7643])). 56.55/7.44 fof(f7643,plain,( 56.55/7.44 spl94_360 <=> ! [X86,X88,X87] : (is_a_theorem(or(and(X86,possibly(X87)),implies(X88,not(possibly(X87))))) | ~is_a_theorem(implies(X88,X86)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_360])])). 56.55/7.44 fof(f5069,plain,( 56.55/7.44 ( ! [X88,X86,X87] : (is_a_theorem(or(and(X86,possibly(X87)),implies(X88,not(possibly(X87))))) | ~is_a_theorem(implies(X88,X86))) ) | (~spl94_191 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f5068,f4843])). 56.55/7.44 fof(f5068,plain,( 56.55/7.44 ( ! [X88,X86,X87] : (is_a_theorem(or(and(X86,possibly(X87)),implies(X88,necessarily(not(X87))))) | ~is_a_theorem(implies(X88,X86))) ) | (~spl94_191 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f4952,f4712])). 56.55/7.44 fof(f4952,plain,( 56.55/7.44 ( ! [X88,X86,X87] : (is_a_theorem(implies(implies(X86,not(possibly(X87))),implies(X88,necessarily(not(X87))))) | ~is_a_theorem(implies(X88,X86))) ) | ~spl94_270), 56.55/7.44 inference(superposition,[],[f1151,f4843])). 56.55/7.44 fof(f7641,plain,( 56.55/7.44 spl94_359 | ~spl94_191 | ~spl94_258 | ~spl94_270), 56.55/7.44 inference(avatar_split_clause,[],[f5043,f4842,f4210,f2325,f7639])). 56.55/7.44 fof(f7639,plain,( 56.55/7.44 spl94_359 <=> ! [X29,X27,X28] : is_a_theorem(implies(implies(X29,X27),or(and(X27,possibly(X28)),implies(X29,not(possibly(X28))))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_359])])). 56.55/7.44 fof(f5043,plain,( 56.55/7.44 ( ! [X28,X29,X27] : (is_a_theorem(implies(implies(X29,X27),or(and(X27,possibly(X28)),implies(X29,not(possibly(X28))))))) ) | (~spl94_191 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f5042,f4843])). 56.55/7.44 fof(f5042,plain,( 56.55/7.44 ( ! [X28,X29,X27] : (is_a_theorem(implies(implies(X29,X27),or(and(X27,possibly(X28)),implies(X29,necessarily(not(X28))))))) ) | (~spl94_191 | ~spl94_258 | ~spl94_270)), 56.55/7.44 inference(forward_demodulation,[],[f4928,f4712])). 56.55/7.44 fof(f4928,plain,( 56.55/7.44 ( ! [X28,X29,X27] : (is_a_theorem(implies(implies(X29,X27),implies(implies(X27,not(possibly(X28))),implies(X29,necessarily(not(X28))))))) ) | ~spl94_270), 56.55/7.44 inference(superposition,[],[f500,f4843])). 56.55/7.44 fof(f7637,plain,( 56.55/7.44 ~spl94_358 | spl94_352), 56.55/7.44 inference(avatar_split_clause,[],[f7618,f7603,f7634])). 56.55/7.44 fof(f7618,plain,( 56.55/7.44 ~is_a_theorem(not(sK16)) | spl94_352), 56.55/7.44 inference(resolution,[],[f7605,f871])). 56.55/7.44 fof(f7632,plain,( 56.55/7.44 spl94_357 | ~spl94_270), 56.55/7.44 inference(avatar_split_clause,[],[f4999,f4842,f7630])). 56.55/7.44 fof(f7630,plain,( 56.55/7.44 spl94_357 <=> ! [X20,X21,X19] : implies(possibly(and(X19,possibly(X20))),X21) = or(strict_implies(X19,not(possibly(X20))),X21)), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_357])])). 56.55/7.44 fof(f4999,plain,( 56.55/7.44 ( ! [X21,X19,X20] : (implies(possibly(and(X19,possibly(X20))),X21) = or(strict_implies(X19,not(possibly(X20))),X21)) ) | ~spl94_270), 56.55/7.44 inference(backward_demodulation,[],[f1605,f4996])). 56.55/7.44 fof(f1605,plain,( 56.55/7.44 ( ! [X21,X19,X20] : (implies(possibly(and(X19,possibly(X20))),X21) = or(strict_implies(X19,necessarily(not(X20))),X21)) )), 56.55/7.44 inference(forward_demodulation,[],[f1593,f467])). 56.55/7.44 fof(f1593,plain,( 56.55/7.44 ( ! [X21,X19,X20] : (implies(possibly(and(X19,possibly(X20))),X21) = or(necessarily(implies(X19,necessarily(not(X20)))),X21)) )), 56.55/7.44 inference(superposition,[],[f974,f953])). 56.55/7.44 fof(f7628,plain,( 56.55/7.44 ~spl94_356 | spl94_352), 56.55/7.44 inference(avatar_split_clause,[],[f7617,f7603,f7625])). 56.55/7.44 fof(f7617,plain,( 56.55/7.44 ~is_a_theorem(not(sK15)) | spl94_352), 56.55/7.44 inference(resolution,[],[f7605,f1479])). 56.55/7.44 fof(f7623,plain,( 56.55/7.44 spl94_355 | ~spl94_270), 56.55/7.44 inference(avatar_split_clause,[],[f4980,f4842,f7621])). 56.55/7.44 fof(f7621,plain,( 56.55/7.44 spl94_355 <=> ! [X160,X161,X159] : is_a_theorem(implies(strict_implies(implies(X159,X160),not(X161)),implies(strict_implies(X159,X160),not(possibly(X161)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_355])])). 56.55/7.44 fof(f4980,plain,( 56.55/7.44 ( ! [X160,X161,X159] : (is_a_theorem(implies(strict_implies(implies(X159,X160),not(X161)),implies(strict_implies(X159,X160),not(possibly(X161)))))) ) | ~spl94_270), 56.55/7.44 inference(superposition,[],[f1036,f4843])). 56.55/7.44 fof(f1036,plain,( 56.55/7.44 ( ! [X2,X0,X1] : (is_a_theorem(implies(strict_implies(implies(X0,X1),X2),implies(strict_implies(X0,X1),necessarily(X2))))) )), 56.55/7.44 inference(superposition,[],[f499,f467])). 56.55/7.44 fof(f7615,plain,( 56.55/7.44 ~spl94_354 | spl94_179 | ~spl94_191 | ~spl94_258 | ~spl94_336), 56.55/7.44 inference(avatar_split_clause,[],[f7362,f7273,f4210,f2325,f2198,f7612])). 56.55/7.44 fof(f7362,plain,( 56.55/7.44 ~is_a_theorem(implies(sK9,not(sK10))) | (spl94_179 | ~spl94_191 | ~spl94_258 | ~spl94_336)), 56.55/7.44 inference(forward_demodulation,[],[f7349,f4604])). 56.55/7.44 fof(f7349,plain,( 56.55/7.44 ~is_a_theorem(not(and(sK9,sK10))) | (spl94_179 | ~spl94_336)), 56.55/7.44 inference(resolution,[],[f7274,f2200])). 56.55/7.44 fof(f7610,plain,( 56.55/7.44 spl94_353 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4714,f4210,f2325,f7608])). 56.55/7.44 fof(f7608,plain,( 56.55/7.44 spl94_353 <=> ! [X25,X27,X26] : (~is_a_theorem(or(X27,implies(X25,not(possibly(X26))))) | is_a_theorem(implies(and(X25,possibly(X26)),X27)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_353])])). 56.55/7.44 fof(f4714,plain,( 56.55/7.44 ( ! [X26,X27,X25] : (~is_a_theorem(or(X27,implies(X25,not(possibly(X26))))) | is_a_theorem(implies(and(X25,possibly(X26)),X27))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1595,f4680])). 56.55/7.44 fof(f1595,plain,( 56.55/7.44 ( ! [X26,X27,X25] : (~is_a_theorem(or(X27,implies(X25,necessarily(not(X26))))) | is_a_theorem(implies(and(X25,possibly(X26)),X27))) )), 56.55/7.44 inference(superposition,[],[f1004,f953])). 56.55/7.44 fof(f7606,plain,( 56.55/7.44 ~spl94_352 | spl94_176 | ~spl94_191 | ~spl94_258 | ~spl94_336), 56.55/7.44 inference(avatar_split_clause,[],[f7361,f7273,f4210,f2325,f2175,f7603])). 56.55/7.44 fof(f7361,plain,( 56.55/7.44 ~is_a_theorem(implies(sK15,not(sK16))) | (spl94_176 | ~spl94_191 | ~spl94_258 | ~spl94_336)), 56.55/7.44 inference(forward_demodulation,[],[f7348,f4604])). 56.55/7.44 fof(f7348,plain,( 56.55/7.44 ~is_a_theorem(not(and(sK15,sK16))) | (spl94_176 | ~spl94_336)), 56.55/7.44 inference(resolution,[],[f7274,f2177])). 56.55/7.44 fof(f7601,plain,( 56.55/7.44 spl94_351 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4708,f4210,f2325,f7599])). 56.55/7.44 fof(f7599,plain,( 56.55/7.44 spl94_351 <=> ! [X2,X0,X1] : implies(X2,and(X0,possibly(X1))) = not(and(X2,implies(X0,not(possibly(X1)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_351])])). 56.55/7.44 fof(f4708,plain,( 56.55/7.44 ( ! [X2,X0,X1] : (implies(X2,and(X0,possibly(X1))) = not(and(X2,implies(X0,not(possibly(X1)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1586,f4680])). 56.55/7.44 fof(f1586,plain,( 56.55/7.44 ( ! [X2,X0,X1] : (implies(X2,and(X0,possibly(X1))) = not(and(X2,implies(X0,necessarily(not(X1)))))) )), 56.55/7.44 inference(superposition,[],[f468,f953])). 56.55/7.44 fof(f7597,plain,( 56.55/7.44 ~spl94_350 | ~spl94_336 | spl94_349), 56.55/7.44 inference(avatar_split_clause,[],[f7568,f7530,f7273,f7594])). 56.55/7.44 fof(f7568,plain,( 56.55/7.44 ~is_a_theorem(not(sK4)) | (~spl94_336 | spl94_349)), 56.55/7.44 inference(resolution,[],[f7532,f7274])). 56.55/7.44 fof(f7533,plain,( 56.55/7.44 ~spl94_349 | spl94_169 | ~spl94_336), 56.55/7.44 inference(avatar_split_clause,[],[f7350,f7273,f2057,f7530])). 56.55/7.44 fof(f7350,plain,( 56.55/7.44 ~is_a_theorem(not(possibly(sK4))) | (spl94_169 | ~spl94_336)), 56.55/7.44 inference(resolution,[],[f7274,f2059])). 56.55/7.44 fof(f7417,plain,( 56.55/7.44 ~spl94_348 | spl94_166 | ~spl94_336), 56.55/7.44 inference(avatar_split_clause,[],[f7353,f7273,f1850,f7414])). 56.55/7.44 fof(f7353,plain,( 56.55/7.44 ~is_a_theorem(not(sK13)) | (spl94_166 | ~spl94_336)), 56.55/7.44 inference(resolution,[],[f7274,f1852])). 56.55/7.44 fof(f7412,plain,( 56.55/7.44 ~spl94_347 | spl94_167 | ~spl94_336), 56.55/7.44 inference(avatar_split_clause,[],[f7351,f7273,f1859,f7409])). 56.55/7.44 fof(f7351,plain,( 56.55/7.44 ~is_a_theorem(not(sK2)) | (spl94_167 | ~spl94_336)), 56.55/7.44 inference(resolution,[],[f7274,f1861])). 56.55/7.44 fof(f7346,plain,( 56.55/7.44 spl94_346 | ~spl94_270), 56.55/7.44 inference(avatar_split_clause,[],[f4998,f4842,f7344])). 56.55/7.44 fof(f7344,plain,( 56.55/7.44 spl94_346 <=> ! [X11,X12] : not(necessarily(possibly(and(X11,possibly(X12))))) = possibly(strict_implies(X11,not(possibly(X12))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_346])])). 56.55/7.44 fof(f4998,plain,( 56.55/7.44 ( ! [X11,X12] : (not(necessarily(possibly(and(X11,possibly(X12))))) = possibly(strict_implies(X11,not(possibly(X12))))) ) | ~spl94_270), 56.55/7.44 inference(backward_demodulation,[],[f1604,f4996])). 56.55/7.44 fof(f1604,plain,( 56.55/7.44 ( ! [X11,X12] : (not(necessarily(possibly(and(X11,possibly(X12))))) = possibly(strict_implies(X11,necessarily(not(X12))))) )), 56.55/7.44 inference(forward_demodulation,[],[f1590,f467])). 56.55/7.44 fof(f1590,plain,( 56.55/7.44 ( ! [X11,X12] : (not(necessarily(possibly(and(X11,possibly(X12))))) = possibly(necessarily(implies(X11,necessarily(not(X12)))))) )), 56.55/7.44 inference(superposition,[],[f748,f953])). 56.55/7.44 fof(f7342,plain,( 56.55/7.44 spl94_345 | ~spl94_189 | ~spl94_317 | ~spl94_332), 56.55/7.44 inference(avatar_split_clause,[],[f7207,f6565,f6310,f2281,f7340])). 56.55/7.44 fof(f6310,plain,( 56.55/7.44 spl94_317 <=> ! [X4] : is_a_theorem(strict_implies(possibly(necessarily(X4)),necessarily(X4)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_317])])). 56.55/7.44 fof(f7207,plain,( 56.55/7.44 ( ! [X1] : (is_a_theorem(strict_equiv(necessarily(X1),possibly(necessarily(X1))))) ) | (~spl94_189 | ~spl94_317 | ~spl94_332)), 56.55/7.44 inference(subsumption_resolution,[],[f7199,f6566])). 56.55/7.44 fof(f7199,plain,( 56.55/7.44 ( ! [X1] : (~is_a_theorem(strict_implies(necessarily(X1),possibly(necessarily(X1)))) | is_a_theorem(strict_equiv(necessarily(X1),possibly(necessarily(X1))))) ) | (~spl94_189 | ~spl94_317)), 56.55/7.44 inference(resolution,[],[f6311,f2282])). 56.55/7.44 fof(f6311,plain,( 56.55/7.44 ( ! [X4] : (is_a_theorem(strict_implies(possibly(necessarily(X4)),necessarily(X4)))) ) | ~spl94_317), 56.55/7.44 inference(avatar_component_clause,[],[f6310])). 56.55/7.44 fof(f7338,plain,( 56.55/7.44 spl94_344 | ~spl94_281 | ~spl94_312 | ~spl94_313), 56.55/7.44 inference(avatar_split_clause,[],[f6488,f6151,f6140,f5581,f7336])). 56.55/7.44 fof(f7336,plain,( 56.55/7.44 spl94_344 <=> ! [X41] : is_a_theorem(or(necessarily(possibly(X41)),not(X41)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_344])])). 56.55/7.44 fof(f5581,plain,( 56.55/7.44 spl94_281 <=> ! [X0] : is_a_theorem(implies(possibly(necessarily(X0)),X0))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_281])])). 56.55/7.44 fof(f6488,plain,( 56.55/7.44 ( ! [X41] : (is_a_theorem(or(necessarily(possibly(X41)),not(X41)))) ) | (~spl94_281 | ~spl94_312 | ~spl94_313)), 56.55/7.44 inference(forward_demodulation,[],[f6487,f970])). 56.55/7.44 fof(f6487,plain,( 56.55/7.44 ( ! [X41] : (is_a_theorem(implies(not(necessarily(possibly(X41))),not(X41)))) ) | (~spl94_281 | ~spl94_312 | ~spl94_313)), 56.55/7.44 inference(forward_demodulation,[],[f6465,f6152])). 56.55/7.44 fof(f6465,plain,( 56.55/7.44 ( ! [X41] : (is_a_theorem(implies(possibly(not(possibly(X41))),not(X41)))) ) | (~spl94_281 | ~spl94_312)), 56.55/7.44 inference(superposition,[],[f5582,f6141])). 56.55/7.44 fof(f5582,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(implies(possibly(necessarily(X0)),X0))) ) | ~spl94_281), 56.55/7.44 inference(avatar_component_clause,[],[f5581])). 56.55/7.44 fof(f7334,plain,( 56.55/7.44 spl94_343 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4613,f4210,f2325,f7332])). 56.55/7.44 fof(f7332,plain,( 56.55/7.44 spl94_343 <=> ! [X29,X28,X30] : (is_a_theorem(implies(X30,not(or(X28,X29)))) | ~is_a_theorem(implies(or(X28,X29),not(X30))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_343])])). 56.55/7.44 fof(f4613,plain,( 56.55/7.44 ( ! [X28,X29,X30] : (is_a_theorem(implies(X30,not(or(X28,X29)))) | ~is_a_theorem(implies(or(X28,X29),not(X30)))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1820,f4604])). 56.55/7.44 fof(f1820,plain,( 56.55/7.44 ( ! [X28,X29,X30] : (is_a_theorem(not(and(X30,or(X28,X29)))) | ~is_a_theorem(implies(or(X28,X29),not(X30)))) )), 56.55/7.44 inference(forward_demodulation,[],[f1804,f972])). 56.55/7.44 fof(f1804,plain,( 56.55/7.44 ( ! [X28,X29,X30] : (~is_a_theorem(implies(or(X28,X29),not(X30))) | is_a_theorem(implies(X30,and(not(X28),not(X29))))) )), 56.55/7.44 inference(superposition,[],[f1004,f976])). 56.55/7.44 fof(f7330,plain,( 56.55/7.44 spl94_342 | ~spl94_191 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f4539,f4210,f2325,f7328])). 56.55/7.44 fof(f7328,plain,( 56.55/7.44 spl94_342 <=> ! [X29,X30,X31] : is_a_theorem(implies(or(X29,X30),implies(implies(X31,X30),implies(implies(X29,X31),X30))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_342])])). 56.55/7.44 fof(f4539,plain,( 56.55/7.44 ( ! [X31,X29,X30] : (is_a_theorem(implies(or(X29,X30),implies(implies(X31,X30),implies(implies(X29,X31),X30))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1346,f4538])). 56.55/7.44 fof(f1346,plain,( 56.55/7.44 ( ! [X31,X29,X30] : (is_a_theorem(implies(or(X29,X30),implies(implies(X31,X30),implies(or(not(X29),X31),X30))))) )), 56.55/7.44 inference(superposition,[],[f501,f970])). 56.55/7.44 fof(f7326,plain,( 56.55/7.44 ~spl94_341 | spl94_339), 56.55/7.44 inference(avatar_split_clause,[],[f7319,f7310,f7323])). 56.55/7.44 fof(f7319,plain,( 56.55/7.44 ~is_a_theorem(not(sK83)) | spl94_339), 56.55/7.44 inference(resolution,[],[f7312,f1479])). 56.55/7.44 fof(f7317,plain,( 56.55/7.44 spl94_340 | ~spl94_220), 56.55/7.44 inference(avatar_split_clause,[],[f4481,f2859,f7315])). 56.55/7.44 fof(f7315,plain,( 56.55/7.44 spl94_340 <=> ! [X9,X11,X10] : is_a_theorem(or(possibly(and(X9,implies(X10,X11))),strict_implies(X9,and(X10,not(X11)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_340])])). 56.55/7.44 fof(f2859,plain,( 56.55/7.44 spl94_220 <=> ! [X0] : is_a_theorem(or(possibly(X0),necessarily(not(X0))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_220])])). 56.55/7.44 fof(f4481,plain,( 56.55/7.44 ( ! [X10,X11,X9] : (is_a_theorem(or(possibly(and(X9,implies(X10,X11))),strict_implies(X9,and(X10,not(X11)))))) ) | ~spl94_220), 56.55/7.44 inference(forward_demodulation,[],[f4468,f467])). 56.55/7.44 fof(f4468,plain,( 56.55/7.44 ( ! [X10,X11,X9] : (is_a_theorem(or(possibly(and(X9,implies(X10,X11))),necessarily(implies(X9,and(X10,not(X11))))))) ) | ~spl94_220), 56.55/7.44 inference(superposition,[],[f2860,f954])). 56.55/7.44 fof(f2860,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(or(possibly(X0),necessarily(not(X0))))) ) | ~spl94_220), 56.55/7.44 inference(avatar_component_clause,[],[f2859])). 56.55/7.44 fof(f7313,plain,( 56.55/7.44 ~spl94_339 | spl94_184), 56.55/7.44 inference(avatar_split_clause,[],[f7308,f2230,f7310])). 56.55/7.44 fof(f7308,plain,( 56.55/7.44 ~is_a_theorem(implies(sK83,or(sK82,sK84))) | spl94_184), 56.55/7.44 inference(subsumption_resolution,[],[f7297,f482])). 56.55/7.44 fof(f7297,plain,( 56.55/7.44 ~is_a_theorem(implies(sK82,or(sK82,sK84))) | ~is_a_theorem(implies(sK83,or(sK82,sK84))) | spl94_184), 56.55/7.44 inference(resolution,[],[f2062,f2232])). 56.55/7.44 fof(f7296,plain,( 56.55/7.44 spl94_338 | ~spl94_312), 56.55/7.44 inference(avatar_split_clause,[],[f6455,f6140,f7294])). 56.55/7.44 fof(f7294,plain,( 56.55/7.44 spl94_338 <=> ! [X21] : is_a_theorem(strict_implies(not(possibly(X21)),not(X21)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_338])])). 56.55/7.44 fof(f6455,plain,( 56.55/7.44 ( ! [X21] : (is_a_theorem(strict_implies(not(possibly(X21)),not(X21)))) ) | ~spl94_312), 56.55/7.44 inference(superposition,[],[f1091,f6141])). 56.55/7.44 fof(f7292,plain,( 56.55/7.44 spl94_337 | ~spl94_312), 56.55/7.44 inference(avatar_split_clause,[],[f6448,f6140,f7290])). 56.55/7.44 fof(f7290,plain,( 56.55/7.44 spl94_337 <=> ! [X6] : (~is_a_theorem(not(possibly(X6))) | is_a_theorem(not(X6)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_337])])). 56.55/7.44 fof(f6448,plain,( 56.55/7.44 ( ! [X6] : (~is_a_theorem(not(possibly(X6))) | is_a_theorem(not(X6))) ) | ~spl94_312), 56.55/7.44 inference(superposition,[],[f876,f6141])). 56.55/7.44 fof(f7275,plain,( 56.55/7.44 spl94_336 | ~spl94_312), 56.55/7.44 inference(avatar_split_clause,[],[f6445,f6140,f7273])). 56.55/7.44 fof(f6445,plain,( 56.55/7.44 ( ! [X1] : (is_a_theorem(not(possibly(X1))) | ~is_a_theorem(not(X1))) ) | ~spl94_312), 56.55/7.44 inference(superposition,[],[f491,f6141])). 56.55/7.44 fof(f6785,plain,( 56.55/7.44 spl94_335 | ~spl94_257 | ~spl94_287 | ~spl94_313), 56.55/7.44 inference(avatar_split_clause,[],[f6713,f6151,f5771,f4205,f6783])). 56.55/7.44 fof(f6713,plain,( 56.55/7.44 ( ! [X7] : (~is_a_theorem(necessarily(X7)) | ~is_a_theorem(not(X7))) ) | (~spl94_257 | ~spl94_287 | ~spl94_313)), 56.55/7.44 inference(forward_demodulation,[],[f6692,f4206])). 56.55/7.44 fof(f6692,plain,( 56.55/7.44 ( ! [X7] : (~is_a_theorem(not(not(necessarily(X7)))) | ~is_a_theorem(not(X7))) ) | (~spl94_287 | ~spl94_313)), 56.55/7.44 inference(superposition,[],[f5772,f6152])). 56.55/7.44 fof(f6729,plain,( 56.55/7.44 spl94_334 | ~spl94_233 | ~spl94_257 | ~spl94_313), 56.55/7.44 inference(avatar_split_clause,[],[f6708,f6151,f4205,f3180,f6727])). 56.55/7.44 fof(f6708,plain,( 56.55/7.44 ( ! [X4] : (~is_a_theorem(X4) | ~is_a_theorem(not(necessarily(X4)))) ) | (~spl94_233 | ~spl94_257 | ~spl94_313)), 56.55/7.44 inference(forward_demodulation,[],[f6689,f4206])). 56.55/7.44 fof(f6689,plain,( 56.55/7.44 ( ! [X4] : (~is_a_theorem(not(necessarily(X4))) | ~is_a_theorem(not(not(X4)))) ) | (~spl94_233 | ~spl94_313)), 56.55/7.44 inference(superposition,[],[f3181,f6152])). 56.55/7.44 fof(f6609,plain,( 56.55/7.44 spl94_333 | ~spl94_313 | ~spl94_331), 56.55/7.44 inference(avatar_split_clause,[],[f6563,f6552,f6151,f6607])). 56.55/7.44 fof(f6563,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(or(X0,not(necessarily(X0))))) ) | (~spl94_313 | ~spl94_331)), 56.55/7.44 inference(forward_demodulation,[],[f6561,f6152])). 56.55/7.44 fof(f6561,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(or(X0,possibly(not(X0))))) ) | ~spl94_331), 56.55/7.44 inference(superposition,[],[f6553,f970])). 56.55/7.44 fof(f6567,plain,( 56.55/7.44 spl94_332 | ~spl94_331), 56.55/7.44 inference(avatar_split_clause,[],[f6558,f6552,f6565])). 56.55/7.44 fof(f6558,plain,( 56.55/7.44 ( ! [X3] : (is_a_theorem(strict_implies(X3,possibly(X3)))) ) | ~spl94_331), 56.55/7.44 inference(resolution,[],[f6553,f866])). 56.55/7.44 fof(f6562,plain,( 56.55/7.44 spl94_38 | ~spl94_331), 56.55/7.44 inference(avatar_contradiction_clause,[],[f6555])). 56.55/7.44 fof(f6555,plain,( 56.55/7.44 $false | (spl94_38 | ~spl94_331)), 56.55/7.44 inference(unit_resulting_resolution,[],[f687,f6553,f866])). 56.55/7.44 fof(f687,plain,( 56.55/7.44 ~is_a_theorem(strict_implies(sK56,possibly(sK56))) | spl94_38), 56.55/7.44 inference(avatar_component_clause,[],[f685])). 56.55/7.44 fof(f685,plain,( 56.55/7.44 spl94_38 <=> is_a_theorem(strict_implies(sK56,possibly(sK56)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_38])])). 56.55/7.44 fof(f6554,plain,( 56.55/7.44 spl94_331 | ~spl94_329), 56.55/7.44 inference(avatar_split_clause,[],[f6503,f6496,f6552])). 56.55/7.44 fof(f6503,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(implies(X0,possibly(X0)))) ) | ~spl94_329), 56.55/7.44 inference(resolution,[],[f6497,f1004])). 56.55/7.44 fof(f6502,plain,( 56.55/7.44 spl94_330 | ~spl94_81), 56.55/7.44 inference(avatar_split_clause,[],[f5604,f894,f6500])). 56.55/7.44 fof(f6500,plain,( 56.55/7.44 spl94_330 <=> ! [X2,X0,X1] : is_a_theorem(implies(or(X2,and(X0,not(X1))),implies(implies(X0,X1),X2)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_330])])). 56.55/7.44 fof(f894,plain,( 56.55/7.44 spl94_81 <=> ! [X2,X3] : is_a_theorem(implies(or(X2,X3),or(X3,X2)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_81])])). 56.55/7.44 fof(f5604,plain,( 56.55/7.44 ( ! [X2,X0,X1] : (is_a_theorem(implies(or(X2,and(X0,not(X1))),implies(implies(X0,X1),X2)))) ) | ~spl94_81), 56.55/7.44 inference(superposition,[],[f895,f975])). 56.55/7.44 fof(f895,plain,( 56.55/7.44 ( ! [X2,X3] : (is_a_theorem(implies(or(X2,X3),or(X3,X2)))) ) | ~spl94_81), 56.55/7.44 inference(avatar_component_clause,[],[f894])). 56.55/7.44 fof(f6498,plain,( 56.55/7.44 spl94_329 | ~spl94_312), 56.55/7.44 inference(avatar_split_clause,[],[f6476,f6140,f6496])). 56.55/7.44 fof(f6476,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(or(possibly(X0),not(X0)))) ) | ~spl94_312), 56.55/7.44 inference(forward_demodulation,[],[f6444,f970])). 56.55/7.44 fof(f6444,plain,( 56.55/7.44 ( ! [X0] : (is_a_theorem(implies(not(possibly(X0)),not(X0)))) ) | ~spl94_312), 56.55/7.44 inference(superposition,[],[f479,f6141])). 56.55/7.44 fof(f6439,plain,( 56.55/7.44 spl94_328 | ~spl94_191 | ~spl94_257 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f5459,f4210,f4205,f2325,f6437])). 56.55/7.44 fof(f6437,plain,( 56.55/7.44 spl94_328 <=> ! [X34,X36,X35] : is_a_theorem(or(and(or(X34,X35),X36),implies(X36,not(or(X34,X35)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_328])])). 56.55/7.44 fof(f5459,plain,( 56.55/7.44 ( ! [X36,X34,X35] : (is_a_theorem(or(and(or(X34,X35),X36),implies(X36,not(or(X34,X35)))))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f4614,f5200])). 56.55/7.44 fof(f4614,plain,( 56.55/7.44 ( ! [X36,X34,X35] : (is_a_theorem(implies(implies(or(X34,X35),not(X36)),implies(X36,not(or(X34,X35)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.44 inference(backward_demodulation,[],[f1821,f4604])). 56.55/7.44 fof(f1821,plain,( 56.55/7.44 ( ! [X36,X34,X35] : (is_a_theorem(implies(implies(or(X34,X35),not(X36)),not(and(X36,or(X34,X35)))))) )), 56.55/7.44 inference(forward_demodulation,[],[f1806,f972])). 56.55/7.44 fof(f1806,plain,( 56.55/7.44 ( ! [X36,X34,X35] : (is_a_theorem(implies(implies(or(X34,X35),not(X36)),implies(X36,and(not(X34),not(X35)))))) )), 56.55/7.44 inference(superposition,[],[f979,f976])). 56.55/7.44 fof(f6435,plain,( 56.55/7.44 ~spl94_327 | spl94_125), 56.55/7.44 inference(avatar_split_clause,[],[f5841,f1212,f6432])). 56.55/7.44 fof(f5841,plain,( 56.55/7.44 ~is_a_theorem(strict_implies(not(sK28),or(sK27,sK29))) | spl94_125), 56.55/7.44 inference(forward_demodulation,[],[f5827,f1333])). 56.55/7.44 fof(f5827,plain,( 56.55/7.44 ~is_a_theorem(necessarily(or(sK28,or(sK27,sK29)))) | spl94_125), 56.55/7.44 inference(resolution,[],[f3267,f1214])). 56.55/7.44 fof(f6430,plain,( 56.55/7.44 spl94_326 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f5458,f4205,f6428])). 56.55/7.44 fof(f5458,plain,( 56.55/7.44 ( ! [X31,X32,X33] : (is_a_theorem(or(and(implies(X31,X32),X33),implies(X33,and(X31,not(X32)))))) ) | ~spl94_257), 56.55/7.44 inference(backward_demodulation,[],[f1699,f5200])). 56.55/7.44 fof(f1699,plain,( 56.55/7.44 ( ! [X31,X32,X33] : (is_a_theorem(implies(implies(implies(X31,X32),not(X33)),implies(X33,and(X31,not(X32)))))) )), 56.55/7.44 inference(superposition,[],[f979,f975])). 56.55/7.44 fof(f6417,plain,( 56.55/7.44 spl94_325 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f5456,f4205,f6415])). 56.55/7.44 fof(f6415,plain,( 56.55/7.44 spl94_325 <=> ! [X11,X10] : is_a_theorem(or(and(X11,X10),implies(or(X10,X11),equiv(X11,not(X10)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_325])])). 56.55/7.44 fof(f5456,plain,( 56.55/7.44 ( ! [X10,X11] : (is_a_theorem(or(and(X11,X10),implies(or(X10,X11),equiv(X11,not(X10)))))) ) | ~spl94_257), 56.55/7.44 inference(backward_demodulation,[],[f1338,f5200])). 56.55/7.44 fof(f1338,plain,( 56.55/7.44 ( ! [X10,X11] : (is_a_theorem(implies(implies(X11,not(X10)),implies(or(X10,X11),equiv(X11,not(X10)))))) )), 56.55/7.44 inference(superposition,[],[f487,f970])). 56.55/7.44 fof(f6413,plain,( 56.55/7.44 ~spl94_324 | spl94_141), 56.55/7.44 inference(avatar_split_clause,[],[f6354,f1319,f6410])). 56.55/7.44 fof(f6354,plain,( 56.55/7.44 ~is_a_theorem(strict_implies(not(sK27),sK29)) | spl94_141), 56.55/7.44 inference(forward_demodulation,[],[f6348,f1333])). 56.55/7.44 fof(f6348,plain,( 56.55/7.44 ~is_a_theorem(necessarily(or(sK27,sK29))) | spl94_141), 56.55/7.44 inference(resolution,[],[f5833,f1321])). 56.55/7.44 fof(f6408,plain,( 56.55/7.44 spl94_323 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f5455,f4205,f6406])). 56.55/7.44 fof(f6406,plain,( 56.55/7.44 spl94_323 <=> ! [X9,X8] : is_a_theorem(implies(or(X8,X9),or(and(X9,X8),equiv(not(X8),X9))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_323])])). 56.55/7.44 fof(f5455,plain,( 56.55/7.44 ( ! [X8,X9] : (is_a_theorem(implies(or(X8,X9),or(and(X9,X8),equiv(not(X8),X9))))) ) | ~spl94_257), 56.55/7.44 inference(backward_demodulation,[],[f1337,f5200])). 56.55/7.44 fof(f1337,plain,( 56.55/7.44 ( ! [X8,X9] : (is_a_theorem(implies(or(X8,X9),implies(implies(X9,not(X8)),equiv(not(X8),X9))))) )), 56.55/7.44 inference(superposition,[],[f487,f970])). 56.55/7.44 fof(f6404,plain,( 56.55/7.44 ~spl94_322 | spl94_285), 56.55/7.44 inference(avatar_split_clause,[],[f6353,f5733,f6401])). 56.55/7.44 fof(f6353,plain,( 56.55/7.44 ~is_a_theorem(strict_implies(sK32,not(sK30))) | spl94_285), 56.55/7.44 inference(forward_demodulation,[],[f6345,f467])). 56.55/7.44 fof(f6345,plain,( 56.55/7.44 ~is_a_theorem(necessarily(implies(sK32,not(sK30)))) | spl94_285), 56.55/7.44 inference(resolution,[],[f5833,f5735])). 56.55/7.44 fof(f6398,plain,( 56.55/7.44 spl94_321 | ~spl94_222), 56.55/7.44 inference(avatar_split_clause,[],[f4821,f2890,f6396])). 56.55/7.44 fof(f6396,plain,( 56.55/7.44 spl94_321 <=> ! [X2,X4,X3] : is_a_theorem(or(implies(X4,and(X2,not(X3))),and(X4,implies(X2,X3))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_321])])). 56.55/7.44 fof(f4821,plain,( 56.55/7.44 ( ! [X2,X3,X4] : (is_a_theorem(or(implies(X4,and(X2,not(X3))),and(X4,implies(X2,X3))))) ) | ~spl94_222), 56.55/7.44 inference(superposition,[],[f2891,f468])). 56.55/7.44 fof(f6379,plain,( 56.55/7.44 ~spl94_320 | spl94_143), 56.55/7.44 inference(avatar_split_clause,[],[f6347,f1370,f6376])). 56.55/7.44 fof(f6347,plain,( 56.55/7.44 ~is_a_theorem(necessarily(sK29)) | spl94_143), 56.55/7.44 inference(resolution,[],[f5833,f1372])). 56.55/7.44 fof(f6374,plain,( 56.55/7.44 ~spl94_319 | spl94_89), 56.55/7.44 inference(avatar_split_clause,[],[f6346,f939,f6371])). 56.55/7.44 fof(f6346,plain,( 56.55/7.44 ~is_a_theorem(necessarily(sK11)) | spl94_89), 56.55/7.44 inference(resolution,[],[f5833,f941])). 56.55/7.44 fof(f6316,plain,( 56.55/7.44 spl94_318 | ~spl94_199 | ~spl94_284), 56.55/7.44 inference(avatar_split_clause,[],[f5747,f5729,f2435,f6314])). 56.55/7.44 fof(f6314,plain,( 56.55/7.44 spl94_318 <=> ! [X4] : (~is_a_theorem(possibly(necessarily(X4))) | is_a_theorem(necessarily(X4)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_318])])). 56.55/7.44 fof(f5729,plain,( 56.55/7.44 spl94_284 <=> ! [X4] : (is_a_theorem(X4) | ~is_a_theorem(possibly(necessarily(X4))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_284])])). 56.55/7.44 fof(f5747,plain,( 56.55/7.44 ( ! [X4] : (~is_a_theorem(possibly(necessarily(X4))) | is_a_theorem(necessarily(X4))) ) | (~spl94_199 | ~spl94_284)), 56.55/7.44 inference(superposition,[],[f5730,f2436])). 56.55/7.44 fof(f5730,plain,( 56.55/7.44 ( ! [X4] : (~is_a_theorem(possibly(necessarily(X4))) | is_a_theorem(X4)) ) | ~spl94_284), 56.55/7.44 inference(avatar_component_clause,[],[f5729])). 56.55/7.44 fof(f6312,plain,( 56.55/7.44 spl94_317 | ~spl94_199 | ~spl94_282), 56.55/7.44 inference(avatar_split_clause,[],[f5743,f5721,f2435,f6310])). 56.55/7.44 fof(f5721,plain,( 56.55/7.44 spl94_282 <=> ! [X3] : is_a_theorem(strict_implies(possibly(necessarily(X3)),X3))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_282])])). 56.55/7.44 fof(f5743,plain,( 56.55/7.44 ( ! [X4] : (is_a_theorem(strict_implies(possibly(necessarily(X4)),necessarily(X4)))) ) | (~spl94_199 | ~spl94_282)), 56.55/7.44 inference(superposition,[],[f5722,f2436])). 56.55/7.44 fof(f5722,plain,( 56.55/7.44 ( ! [X3] : (is_a_theorem(strict_implies(possibly(necessarily(X3)),X3))) ) | ~spl94_282), 56.55/7.44 inference(avatar_component_clause,[],[f5721])). 56.55/7.44 fof(f6184,plain,( 56.55/7.44 spl94_316 | ~spl94_257 | ~spl94_280), 56.55/7.44 inference(avatar_split_clause,[],[f5606,f5571,f4205,f6182])). 56.55/7.44 fof(f6168,plain,( 56.55/7.44 spl94_315 | ~spl94_250 | ~spl94_278), 56.55/7.44 inference(avatar_split_clause,[],[f5593,f5563,f3814,f6166])). 56.55/7.44 fof(f6166,plain,( 56.55/7.44 spl94_315 <=> ! [X1] : (is_a_theorem(possibly(possibly(X1))) | ~is_a_theorem(necessarily(X1)))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_315])])). 56.55/7.44 fof(f5593,plain,( 56.55/7.44 ( ! [X1] : (is_a_theorem(possibly(possibly(X1))) | ~is_a_theorem(necessarily(X1))) ) | (~spl94_250 | ~spl94_278)), 56.55/7.44 inference(resolution,[],[f5564,f3815])). 56.55/7.44 fof(f6164,plain,( 56.55/7.44 spl94_314 | ~spl94_258), 56.55/7.44 inference(avatar_split_clause,[],[f5505,f4210,f6162])). 56.55/7.44 fof(f5505,plain,( 56.55/7.44 ( ! [X10] : (necessarily(X10) = strict_implies(not(X10),X10)) ) | ~spl94_258), 56.55/7.44 inference(superposition,[],[f1333,f4211])). 56.55/7.44 fof(f6153,plain,( 56.55/7.44 spl94_313 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f5192,f4205,f6151])). 56.55/7.44 fof(f5192,plain,( 56.55/7.44 ( ! [X2] : (possibly(not(X2)) = not(necessarily(X2))) ) | ~spl94_257), 56.55/7.44 inference(superposition,[],[f470,f4206])). 56.55/7.44 fof(f6142,plain,( 56.55/7.44 spl94_312 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f5186,f4205,f6140])). 56.55/7.44 fof(f6089,plain,( 56.55/7.44 ~spl94_311 | ~spl94_257 | spl94_308), 56.55/7.44 inference(avatar_split_clause,[],[f6023,f5995,f4205,f6086])). 56.55/7.44 fof(f6023,plain,( 56.55/7.44 ~is_a_theorem(not(possibly(sK22))) | (~spl94_257 | spl94_308)), 56.55/7.44 inference(forward_demodulation,[],[f6020,f5186])). 56.55/7.44 fof(f6020,plain,( 56.55/7.44 ~is_a_theorem(necessarily(not(sK22))) | spl94_308), 56.55/7.44 inference(resolution,[],[f5997,f3267])). 56.55/7.44 fof(f6039,plain,( 56.55/7.44 ~spl94_310 | spl94_308), 56.55/7.44 inference(avatar_split_clause,[],[f6022,f5995,f6036])). 56.55/7.44 fof(f6022,plain,( 56.55/7.44 ~is_a_theorem(not(sK22)) | spl94_308), 56.55/7.44 inference(resolution,[],[f5997,f871])). 56.55/7.44 fof(f6034,plain,( 56.55/7.44 ~spl94_309 | spl94_308), 56.55/7.44 inference(avatar_split_clause,[],[f6021,f5995,f6031])). 56.55/7.44 fof(f6021,plain,( 56.55/7.44 ~is_a_theorem(not(sK21)) | spl94_308), 56.55/7.44 inference(resolution,[],[f5997,f1479])). 56.55/7.44 fof(f5998,plain,( 56.55/7.44 ~spl94_308 | ~spl94_191 | ~spl94_258 | spl94_300), 56.55/7.44 inference(avatar_split_clause,[],[f5952,f5926,f4210,f2325,f5995])). 56.55/7.44 fof(f5952,plain,( 56.55/7.44 ~is_a_theorem(implies(sK21,not(sK22))) | (~spl94_191 | ~spl94_258 | spl94_300)), 56.55/7.44 inference(forward_demodulation,[],[f5949,f4604])). 56.55/7.44 fof(f5949,plain,( 56.55/7.44 ~is_a_theorem(not(and(sK21,sK22))) | spl94_300), 56.55/7.44 inference(resolution,[],[f5928,f1479])). 56.55/7.44 fof(f5982,plain,( 56.55/7.44 ~spl94_307 | ~spl94_257 | spl94_300), 56.55/7.44 inference(avatar_split_clause,[],[f5951,f5926,f4205,f5979])). 56.55/7.44 fof(f5951,plain,( 56.55/7.44 ~is_a_theorem(not(possibly(sK23))) | (~spl94_257 | spl94_300)), 56.55/7.44 inference(forward_demodulation,[],[f5948,f5186])). 56.55/7.44 fof(f5948,plain,( 56.55/7.44 ~is_a_theorem(necessarily(not(sK23))) | spl94_300), 56.55/7.44 inference(resolution,[],[f5928,f3267])). 56.55/7.44 fof(f5961,plain,( 56.55/7.44 ~spl94_306 | spl94_300), 56.55/7.44 inference(avatar_split_clause,[],[f5950,f5926,f5958])). 56.55/7.44 fof(f5950,plain,( 56.55/7.44 ~is_a_theorem(not(sK23)) | spl94_300), 56.55/7.44 inference(resolution,[],[f5928,f871])). 56.55/7.44 fof(f5956,plain,( 56.55/7.44 spl94_305 | ~spl94_257), 56.55/7.44 inference(avatar_split_clause,[],[f5457,f4205,f5954])). 56.55/7.44 fof(f5954,plain,( 56.55/7.44 spl94_305 <=> ! [X27,X28,X26] : is_a_theorem(or(and(X28,X26),implies(or(X26,X27),implies(X28,X27))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_305])])). 56.55/7.44 fof(f5457,plain,( 56.55/7.44 ( ! [X28,X26,X27] : (is_a_theorem(or(and(X28,X26),implies(or(X26,X27),implies(X28,X27))))) ) | ~spl94_257), 56.55/7.44 inference(backward_demodulation,[],[f1345,f5200])). 56.55/7.44 fof(f1345,plain,( 56.55/7.44 ( ! [X28,X26,X27] : (is_a_theorem(implies(implies(X28,not(X26)),implies(or(X26,X27),implies(X28,X27))))) )), 56.55/7.44 inference(superposition,[],[f500,f970])). 56.55/7.44 fof(f5947,plain,( 56.55/7.44 spl94_304 | ~spl94_220 | ~spl94_270), 56.55/7.44 inference(avatar_split_clause,[],[f5028,f4842,f2859,f5945])). 56.55/7.44 fof(f5028,plain,( 56.55/7.44 ( ! [X6,X5] : (is_a_theorem(or(possibly(and(X5,possibly(X6))),strict_implies(X5,not(possibly(X6)))))) ) | (~spl94_220 | ~spl94_270)), 56.55/7.44 inference(backward_demodulation,[],[f4479,f4996])). 56.55/7.44 fof(f4479,plain,( 56.55/7.44 ( ! [X6,X5] : (is_a_theorem(or(possibly(and(X5,possibly(X6))),strict_implies(X5,necessarily(not(X6)))))) ) | ~spl94_220), 56.55/7.44 inference(forward_demodulation,[],[f4466,f467])). 56.55/7.44 fof(f4466,plain,( 56.55/7.44 ( ! [X6,X5] : (is_a_theorem(or(possibly(and(X5,possibly(X6))),necessarily(implies(X5,necessarily(not(X6))))))) ) | ~spl94_220), 56.55/7.44 inference(superposition,[],[f2860,f953])). 56.55/7.44 fof(f5941,plain,( 56.55/7.44 spl94_303 | ~spl94_270), 56.55/7.44 inference(avatar_split_clause,[],[f4983,f4842,f5939])). 56.55/7.44 fof(f5939,plain,( 56.55/7.44 spl94_303 <=> ! [X166,X167] : is_a_theorem(implies(strict_implies(X166,not(X167)),implies(necessarily(X166),not(possibly(X167)))))), 56.55/7.44 introduced(avatar_definition,[new_symbols(naming,[spl94_303])])). 56.55/7.44 fof(f4983,plain,( 56.55/7.44 ( ! [X166,X167] : (is_a_theorem(implies(strict_implies(X166,not(X167)),implies(necessarily(X166),not(possibly(X167)))))) ) | ~spl94_270), 56.55/7.44 inference(superposition,[],[f499,f4843])). 56.55/7.44 fof(f5937,plain,( 56.55/7.44 spl94_302 | ~spl94_199 | ~spl94_281), 56.55/7.44 inference(avatar_split_clause,[],[f5590,f5581,f2435,f5935])). 56.55/7.45 fof(f5590,plain,( 56.55/7.45 ( ! [X4] : (is_a_theorem(implies(possibly(necessarily(X4)),necessarily(X4)))) ) | (~spl94_199 | ~spl94_281)), 56.55/7.45 inference(superposition,[],[f5582,f2436])). 56.55/7.45 fof(f5933,plain,( 56.55/7.45 spl94_301 | ~spl94_270), 56.55/7.45 inference(avatar_split_clause,[],[f4982,f4842,f5931])). 56.55/7.45 fof(f4982,plain,( 56.55/7.45 ( ! [X164,X165] : (is_a_theorem(implies(necessarily(X164),not(possibly(X165)))) | ~is_a_theorem(strict_implies(X164,not(X165)))) ) | ~spl94_270), 56.55/7.45 inference(superposition,[],[f1035,f4843])). 56.55/7.45 fof(f5929,plain,( 56.55/7.45 ~spl94_300 | spl94_186 | ~spl94_191 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4683,f4210,f2325,f2252,f5926])). 56.55/7.45 fof(f2252,plain,( 56.55/7.45 spl94_186 <=> is_a_theorem(not(and(and(sK21,sK22),sK23)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_186])])). 56.55/7.45 fof(f4683,plain,( 56.55/7.45 ~is_a_theorem(implies(and(sK21,sK22),not(sK23))) | (spl94_186 | ~spl94_191 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f2254,f4604])). 56.55/7.45 fof(f2254,plain,( 56.55/7.45 ~is_a_theorem(not(and(and(sK21,sK22),sK23))) | spl94_186), 56.55/7.45 inference(avatar_component_clause,[],[f2252])). 56.55/7.45 fof(f5924,plain,( 56.55/7.45 ~spl94_299 | spl94_109), 56.55/7.45 inference(avatar_split_clause,[],[f3272,f1127,f5921])). 56.55/7.45 fof(f3272,plain,( 56.55/7.45 ~is_a_theorem(necessarily(and(possibly(sK15),possibly(sK16)))) | spl94_109), 56.55/7.45 inference(resolution,[],[f3203,f1129])). 56.55/7.45 fof(f5919,plain,( 56.55/7.45 spl94_298 | ~spl94_191 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4706,f4210,f2325,f5917])). 56.55/7.45 fof(f5917,plain,( 56.55/7.45 spl94_298 <=> ! [X18,X17] : (is_a_theorem(implies(X18,not(possibly(X17)))) | ~is_a_theorem(implies(possibly(X17),not(X18))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_298])])). 56.55/7.45 fof(f4706,plain,( 56.55/7.45 ( ! [X18,X17] : (is_a_theorem(implies(X18,not(possibly(X17)))) | ~is_a_theorem(implies(possibly(X17),not(X18)))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f1539,f4680])). 56.55/7.45 fof(f1539,plain,( 56.55/7.45 ( ! [X18,X17] : (~is_a_theorem(implies(possibly(X17),not(X18))) | is_a_theorem(implies(X18,necessarily(not(X17))))) )), 56.55/7.45 inference(superposition,[],[f1004,f974])). 56.55/7.45 fof(f5915,plain,( 56.55/7.45 ~spl94_297 | spl94_115), 56.55/7.45 inference(avatar_split_clause,[],[f3270,f1162,f5912])). 56.55/7.45 fof(f3270,plain,( 56.55/7.45 ~is_a_theorem(necessarily(and(sK21,and(sK22,sK23)))) | spl94_115), 56.55/7.45 inference(resolution,[],[f3203,f1164])). 56.55/7.45 fof(f5895,plain,( 56.55/7.45 ~spl94_296 | spl94_295), 56.55/7.45 inference(avatar_split_clause,[],[f5885,f5868,f5892])). 56.55/7.45 fof(f5885,plain,( 56.55/7.45 ~is_a_theorem(necessarily(sK84)) | spl94_295), 56.55/7.45 inference(resolution,[],[f5870,f3203])). 56.55/7.45 fof(f5871,plain,( 56.55/7.45 ~spl94_295 | spl94_184), 56.55/7.45 inference(avatar_split_clause,[],[f5840,f2230,f5868])). 56.55/7.45 fof(f5840,plain,( 56.55/7.45 ~is_a_theorem(strict_implies(not(sK82),sK84)) | spl94_184), 56.55/7.45 inference(forward_demodulation,[],[f5826,f1333])). 56.55/7.45 fof(f5826,plain,( 56.55/7.45 ~is_a_theorem(necessarily(or(sK82,sK84))) | spl94_184), 56.55/7.45 inference(resolution,[],[f3267,f2232])). 56.55/7.45 fof(f5866,plain,( 56.55/7.45 spl94_294 | ~spl94_191 | ~spl94_257 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f5460,f4210,f4205,f2325,f5864])). 56.55/7.45 fof(f5864,plain,( 56.55/7.45 spl94_294 <=> ! [X22,X21] : is_a_theorem(or(and(possibly(X21),X22),implies(X22,not(possibly(X21)))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_294])])). 56.55/7.45 fof(f5460,plain,( 56.55/7.45 ( ! [X21,X22] : (is_a_theorem(or(and(possibly(X21),X22),implies(X22,not(possibly(X21)))))) ) | (~spl94_191 | ~spl94_257 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f4707,f5200])). 56.55/7.45 fof(f4707,plain,( 56.55/7.45 ( ! [X21,X22] : (is_a_theorem(implies(implies(possibly(X21),not(X22)),implies(X22,not(possibly(X21)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f1541,f4680])). 56.55/7.45 fof(f5862,plain,( 56.55/7.45 ~spl94_293 | ~spl94_257 | spl94_271), 56.55/7.45 inference(avatar_split_clause,[],[f5843,f4846,f4205,f5859])). 56.55/7.45 fof(f5843,plain,( 56.55/7.45 ~is_a_theorem(not(possibly(sK30))) | (~spl94_257 | spl94_271)), 56.55/7.45 inference(forward_demodulation,[],[f5831,f5186])). 56.55/7.45 fof(f5831,plain,( 56.55/7.45 ~is_a_theorem(necessarily(not(sK30))) | spl94_271), 56.55/7.45 inference(resolution,[],[f3267,f4848])). 56.55/7.45 fof(f5857,plain,( 56.55/7.45 spl94_292 | ~spl94_257), 56.55/7.45 inference(avatar_split_clause,[],[f5309,f4205,f5855])). 56.55/7.45 fof(f5855,plain,( 56.55/7.45 spl94_292 <=> ! [X4,X5] : (is_a_theorem(not(possibly(strict_implies(X4,X5)))) | ~is_a_theorem(and(X4,not(X5))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_292])])). 56.55/7.45 fof(f5309,plain,( 56.55/7.45 ( ! [X4,X5] : (is_a_theorem(not(possibly(strict_implies(X4,X5)))) | ~is_a_theorem(and(X4,not(X5)))) ) | ~spl94_257), 56.55/7.45 inference(backward_demodulation,[],[f1516,f5186])). 56.55/7.45 fof(f1516,plain,( 56.55/7.45 ( ! [X4,X5] : (is_a_theorem(necessarily(not(strict_implies(X4,X5)))) | ~is_a_theorem(and(X4,not(X5)))) )), 56.55/7.45 inference(superposition,[],[f870,f956])). 56.55/7.45 fof(f5853,plain,( 56.55/7.45 ~spl94_291 | ~spl94_257 | spl94_266), 56.55/7.45 inference(avatar_split_clause,[],[f5844,f4804,f4205,f5850])). 56.55/7.45 fof(f5844,plain,( 56.55/7.45 ~is_a_theorem(not(possibly(sK71))) | (~spl94_257 | spl94_266)), 56.55/7.45 inference(forward_demodulation,[],[f5832,f5186])). 56.55/7.45 fof(f5832,plain,( 56.55/7.45 ~is_a_theorem(necessarily(not(sK71))) | spl94_266), 56.55/7.45 inference(resolution,[],[f3267,f4806])). 56.55/7.45 fof(f5848,plain,( 56.55/7.45 spl94_290 | ~spl94_191 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4767,f4210,f2325,f5846])). 56.55/7.45 fof(f5846,plain,( 56.55/7.45 spl94_290 <=> ! [X6,X7] : is_a_theorem(implies(and(X6,not(X7)),not(possibly(strict_implies(X6,X7)))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_290])])). 56.55/7.45 fof(f4767,plain,( 56.55/7.45 ( ! [X6,X7] : (is_a_theorem(implies(and(X6,not(X7)),not(possibly(strict_implies(X6,X7)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f1517,f4680])). 56.55/7.45 fof(f1517,plain,( 56.55/7.45 ( ! [X6,X7] : (is_a_theorem(implies(and(X6,not(X7)),necessarily(not(strict_implies(X6,X7)))))) )), 56.55/7.45 inference(superposition,[],[f490,f956])). 56.55/7.45 fof(f5783,plain,( 56.55/7.45 spl94_289 | ~spl94_257), 56.55/7.45 inference(avatar_split_clause,[],[f5314,f4205,f5781])). 56.55/7.45 fof(f5781,plain,( 56.55/7.45 spl94_289 <=> ! [X2] : (is_a_theorem(not(possibly(necessarily(possibly(X2))))) | ~is_a_theorem(not(possibly(X2))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_289])])). 56.55/7.45 fof(f5314,plain,( 56.55/7.45 ( ! [X2] : (is_a_theorem(not(possibly(necessarily(possibly(X2))))) | ~is_a_theorem(not(possibly(X2)))) ) | ~spl94_257), 56.55/7.45 inference(forward_demodulation,[],[f5241,f5186])). 56.55/7.45 fof(f5241,plain,( 56.55/7.45 ( ! [X2] : (~is_a_theorem(not(possibly(X2))) | is_a_theorem(necessarily(not(necessarily(possibly(X2)))))) ) | ~spl94_257), 56.55/7.45 inference(backward_demodulation,[],[f1444,f5186])). 56.55/7.45 fof(f1444,plain,( 56.55/7.45 ( ! [X2] : (is_a_theorem(necessarily(not(necessarily(possibly(X2))))) | ~is_a_theorem(necessarily(not(X2)))) )), 56.55/7.45 inference(superposition,[],[f870,f748])). 56.55/7.45 fof(f5777,plain,( 56.55/7.45 spl94_288 | ~spl94_191 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4558,f4210,f2325,f5775])). 56.55/7.45 fof(f4558,plain,( 56.55/7.45 ( ! [X0,X1] : (is_a_theorem(or(X0,not(or(X1,X0)))) | ~is_a_theorem(not(X1))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f1926,f4554])). 56.55/7.45 fof(f1926,plain,( 56.55/7.45 ( ! [X0,X1] : (is_a_theorem(not(and(not(X0),or(X1,X0)))) | ~is_a_theorem(not(X1))) )), 56.55/7.45 inference(superposition,[],[f872,f972])). 56.55/7.45 fof(f5773,plain,( 56.55/7.45 spl94_287 | ~spl94_233 | ~spl94_286), 56.55/7.45 inference(avatar_split_clause,[],[f5766,f5761,f3180,f5771])). 56.55/7.45 fof(f5766,plain,( 56.55/7.45 ( ! [X0] : (~is_a_theorem(X0) | ~is_a_theorem(not(possibly(X0)))) ) | (~spl94_233 | ~spl94_286)), 56.55/7.45 inference(resolution,[],[f5762,f3181])). 56.55/7.45 fof(f5763,plain,( 56.55/7.45 spl94_286 | ~spl94_278), 56.55/7.45 inference(avatar_split_clause,[],[f5594,f5563,f5761])). 56.55/7.45 fof(f5594,plain,( 56.55/7.45 ( ! [X2] : (is_a_theorem(possibly(possibly(X2))) | ~is_a_theorem(X2)) ) | ~spl94_278), 56.55/7.45 inference(resolution,[],[f5564,f870])). 56.55/7.45 fof(f5736,plain,( 56.55/7.45 ~spl94_285 | ~spl94_191 | spl94_202 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4685,f4210,f2471,f2325,f5733])). 56.55/7.45 fof(f2471,plain,( 56.55/7.45 spl94_202 <=> is_a_theorem(or(and(sK31,sK32),not(and(sK32,sK30))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_202])])). 56.55/7.45 fof(f4685,plain,( 56.55/7.45 ~is_a_theorem(or(and(sK31,sK32),implies(sK32,not(sK30)))) | (~spl94_191 | spl94_202 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f2473,f4604])). 56.55/7.45 fof(f2473,plain,( 56.55/7.45 ~is_a_theorem(or(and(sK31,sK32),not(and(sK32,sK30)))) | spl94_202), 56.55/7.45 inference(avatar_component_clause,[],[f2471])). 56.55/7.45 fof(f5731,plain,( 56.55/7.45 spl94_284 | ~spl94_281), 56.55/7.45 inference(avatar_split_clause,[],[f5587,f5581,f5729])). 56.55/7.45 fof(f5587,plain,( 56.55/7.45 ( ! [X4] : (is_a_theorem(X4) | ~is_a_theorem(possibly(necessarily(X4)))) ) | ~spl94_281), 56.55/7.45 inference(resolution,[],[f5582,f489])). 56.55/7.45 fof(f5727,plain,( 56.55/7.45 spl94_283 | ~spl94_191 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4557,f4210,f2325,f5725])). 56.55/7.45 fof(f5725,plain,( 56.55/7.45 spl94_283 <=> ! [X2,X3] : is_a_theorem(or(X3,or(X2,not(or(X3,X2)))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_283])])). 56.55/7.45 fof(f4557,plain,( 56.55/7.45 ( ! [X2,X3] : (is_a_theorem(or(X3,or(X2,not(or(X3,X2)))))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f1976,f4554])). 56.55/7.45 fof(f5723,plain,( 56.55/7.45 spl94_282 | ~spl94_281), 56.55/7.45 inference(avatar_split_clause,[],[f5586,f5581,f5721])). 56.55/7.45 fof(f5586,plain,( 56.55/7.45 ( ! [X3] : (is_a_theorem(strict_implies(possibly(necessarily(X3)),X3))) ) | ~spl94_281), 56.55/7.45 inference(resolution,[],[f5582,f866])). 56.55/7.45 fof(f5591,plain,( 56.55/7.45 spl94_81 | ~spl94_257), 56.55/7.45 inference(avatar_split_clause,[],[f4360,f4205,f894])). 56.55/7.45 fof(f5583,plain,( 56.55/7.45 spl94_281 | ~spl94_279), 56.55/7.45 inference(avatar_split_clause,[],[f5574,f5567,f5581])). 56.55/7.45 fof(f5567,plain,( 56.55/7.45 spl94_279 <=> ! [X60] : is_a_theorem(or(X60,not(possibly(necessarily(X60)))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_279])])). 56.55/7.45 fof(f5574,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(implies(possibly(necessarily(X0)),X0))) ) | ~spl94_279), 56.55/7.45 inference(resolution,[],[f5568,f1004])). 56.55/7.45 fof(f5568,plain,( 56.55/7.45 ( ! [X60] : (is_a_theorem(or(X60,not(possibly(necessarily(X60)))))) ) | ~spl94_279), 56.55/7.45 inference(avatar_component_clause,[],[f5567])). 56.55/7.45 fof(f5573,plain,( 56.55/7.45 spl94_280 | ~spl94_191 | ~spl94_256), 56.55/7.45 inference(avatar_split_clause,[],[f4175,f4103,f2325,f5571])). 56.55/7.45 fof(f4103,plain,( 56.55/7.45 spl94_256 <=> ! [X11] : is_a_theorem(equiv(not(not(X11)),X11))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_256])])). 56.55/7.45 fof(f4175,plain,( 56.55/7.45 ( ! [X18] : (implies(not(X18),X18) = X18) ) | (~spl94_191 | ~spl94_256)), 56.55/7.45 inference(backward_demodulation,[],[f2345,f4162])). 56.55/7.45 fof(f4162,plain,( 56.55/7.45 ( ! [X2] : (not(not(X2)) = X2) ) | ~spl94_256), 56.55/7.45 inference(resolution,[],[f4104,f488])). 56.55/7.45 fof(f4104,plain,( 56.55/7.45 ( ! [X11] : (is_a_theorem(equiv(not(not(X11)),X11))) ) | ~spl94_256), 56.55/7.45 inference(avatar_component_clause,[],[f4103])). 56.55/7.45 fof(f2345,plain,( 56.55/7.45 ( ! [X18] : (implies(not(X18),X18) = not(not(X18))) ) | ~spl94_191), 56.55/7.45 inference(superposition,[],[f468,f2326])). 56.55/7.45 fof(f5569,plain,( 56.55/7.45 spl94_279 | ~spl94_257), 56.55/7.45 inference(avatar_split_clause,[],[f5448,f4205,f5567])). 56.55/7.45 fof(f5448,plain,( 56.55/7.45 ( ! [X60] : (is_a_theorem(or(X60,not(possibly(necessarily(X60)))))) ) | ~spl94_257), 56.55/7.45 inference(forward_demodulation,[],[f5447,f5186])). 56.55/7.45 fof(f5447,plain,( 56.55/7.45 ( ! [X60] : (is_a_theorem(or(X60,necessarily(not(necessarily(X60)))))) ) | ~spl94_257), 56.55/7.45 inference(backward_demodulation,[],[f1361,f5192])). 56.55/7.45 fof(f5565,plain,( 56.55/7.45 spl94_278 | ~spl94_250), 56.55/7.45 inference(avatar_split_clause,[],[f3830,f3814,f5563])). 56.55/7.45 fof(f3830,plain,( 56.55/7.45 ( ! [X0] : (~is_a_theorem(necessarily(X0)) | is_a_theorem(possibly(X0))) ) | ~spl94_250), 56.55/7.45 inference(resolution,[],[f3815,f876])). 56.55/7.45 fof(f5527,plain,( 56.55/7.45 spl94_277 | ~spl94_191 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4540,f4210,f2325,f5525])). 56.55/7.45 fof(f4540,plain,( 56.55/7.45 ( ! [X58,X59] : (is_a_theorem(or(X58,implies(X58,X59)))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f1360,f4538])). 56.55/7.45 fof(f5120,plain,( 56.55/7.45 ~spl94_276 | spl94_120), 56.55/7.45 inference(avatar_split_clause,[],[f3271,f1186,f5117])). 56.55/7.45 fof(f5117,plain,( 56.55/7.45 spl94_276 <=> is_a_theorem(necessarily(strict_implies(sK24,sK26)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_276])])). 56.55/7.45 fof(f3271,plain,( 56.55/7.45 ~is_a_theorem(necessarily(strict_implies(sK24,sK26))) | spl94_120), 56.55/7.45 inference(resolution,[],[f3203,f1188])). 56.55/7.45 fof(f5115,plain,( 56.55/7.45 spl94_275 | ~spl94_191 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4612,f4210,f2325,f5113])). 56.55/7.45 fof(f5113,plain,( 56.55/7.45 spl94_275 <=> ! [X2,X4,X3] : implies(X4,and(not(X2),not(X3))) = implies(X4,not(or(X2,X3)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_275])])). 56.55/7.45 fof(f4612,plain,( 56.55/7.45 ( ! [X2,X3,X4] : (implies(X4,and(not(X2),not(X3))) = implies(X4,not(or(X2,X3)))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f972,f4604])). 56.55/7.45 fof(f5111,plain,( 56.55/7.45 spl94_274 | ~spl94_191 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4559,f4210,f2325,f5109])). 56.55/7.45 fof(f5109,plain,( 56.55/7.45 spl94_274 <=> ! [X6,X5,X7] : or(X7,and(not(X5),not(X6))) = or(X7,not(or(X5,X6)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_274])])). 56.55/7.45 fof(f4559,plain,( 56.55/7.45 ( ! [X6,X7,X5] : (or(X7,and(not(X5),not(X6))) = or(X7,not(or(X5,X6)))) ) | (~spl94_191 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f969,f4554])). 56.55/7.45 fof(f5107,plain,( 56.55/7.45 ~spl94_273 | spl94_271), 56.55/7.45 inference(avatar_split_clause,[],[f4902,f4846,f5104])). 56.55/7.45 fof(f4902,plain,( 56.55/7.45 ~is_a_theorem(not(sK30)) | spl94_271), 56.55/7.45 inference(resolution,[],[f4848,f871])). 56.55/7.45 fof(f4907,plain,( 56.55/7.45 ~spl94_272 | spl94_271), 56.55/7.45 inference(avatar_split_clause,[],[f4901,f4846,f4904])). 56.55/7.45 fof(f4901,plain,( 56.55/7.45 ~is_a_theorem(not(sK32)) | spl94_271), 56.55/7.45 inference(resolution,[],[f4848,f1479])). 56.55/7.45 fof(f4849,plain,( 56.55/7.45 ~spl94_271 | ~spl94_191 | spl94_221 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4684,f4210,f2885,f2325,f4846])). 56.55/7.45 fof(f2885,plain,( 56.55/7.45 spl94_221 <=> is_a_theorem(not(and(sK32,sK30)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_221])])). 56.55/7.45 fof(f4684,plain,( 56.55/7.45 ~is_a_theorem(implies(sK32,not(sK30))) | (~spl94_191 | spl94_221 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f2887,f4604])). 56.55/7.45 fof(f2887,plain,( 56.55/7.45 ~is_a_theorem(not(and(sK32,sK30))) | spl94_221), 56.55/7.45 inference(avatar_component_clause,[],[f2885])). 56.55/7.45 fof(f4844,plain,( 56.55/7.45 spl94_270 | ~spl94_191 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4680,f4210,f2325,f4842])). 56.55/7.45 fof(f4840,plain,( 56.55/7.45 spl94_269 | ~spl94_191 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4574,f4210,f2325,f4838])). 56.55/7.45 fof(f4838,plain,( 56.55/7.45 spl94_269 <=> ! [X0,X1] : or(X1,necessarily(not(X0))) = or(X1,not(possibly(X0)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_269])])). 56.55/7.45 fof(f4836,plain,( 56.55/7.45 ~spl94_268 | spl94_266), 56.55/7.45 inference(avatar_split_clause,[],[f4812,f4804,f4833])). 56.55/7.45 fof(f4812,plain,( 56.55/7.45 ~is_a_theorem(not(sK71)) | spl94_266), 56.55/7.45 inference(resolution,[],[f4806,f871])). 56.55/7.45 fof(f4817,plain,( 56.55/7.45 ~spl94_267 | spl94_266), 56.55/7.45 inference(avatar_split_clause,[],[f4811,f4804,f4814])). 56.55/7.45 fof(f4811,plain,( 56.55/7.45 ~is_a_theorem(not(sK70)) | spl94_266), 56.55/7.45 inference(resolution,[],[f4806,f1479])). 56.55/7.45 fof(f4807,plain,( 56.55/7.45 ~spl94_266 | spl94_168 | ~spl94_191 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4687,f4210,f2325,f2015,f4804])). 56.55/7.45 fof(f2015,plain,( 56.55/7.45 spl94_168 <=> is_a_theorem(not(and(sK70,sK71)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_168])])). 56.55/7.45 fof(f4687,plain,( 56.55/7.45 ~is_a_theorem(implies(sK70,not(sK71))) | (spl94_168 | ~spl94_191 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f2017,f4604])). 56.55/7.45 fof(f2017,plain,( 56.55/7.45 ~is_a_theorem(not(and(sK70,sK71))) | spl94_168), 56.55/7.45 inference(avatar_component_clause,[],[f2015])). 56.55/7.45 fof(f4802,plain,( 56.55/7.45 ~spl94_265 | spl94_140 | ~spl94_191 | ~spl94_258), 56.55/7.45 inference(avatar_split_clause,[],[f4686,f4210,f2325,f1299,f4799])). 56.55/7.45 fof(f1299,plain,( 56.55/7.45 spl94_140 <=> is_a_theorem(implies(implies(sK30,sK31),or(and(sK31,sK32),not(and(sK32,sK30)))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_140])])). 56.55/7.45 fof(f4686,plain,( 56.55/7.45 ~is_a_theorem(implies(implies(sK30,sK31),or(and(sK31,sK32),implies(sK32,not(sK30))))) | (spl94_140 | ~spl94_191 | ~spl94_258)), 56.55/7.45 inference(backward_demodulation,[],[f1301,f4604])). 56.55/7.45 fof(f1301,plain,( 56.55/7.45 ~is_a_theorem(implies(implies(sK30,sK31),or(and(sK31,sK32),not(and(sK32,sK30))))) | spl94_140), 56.55/7.45 inference(avatar_component_clause,[],[f1299])). 56.55/7.45 fof(f4487,plain,( 56.55/7.45 ~spl94_264 | spl94_261), 56.55/7.45 inference(avatar_split_clause,[],[f4458,f4298,f4484])). 56.55/7.45 fof(f4458,plain,( 56.55/7.45 ~is_a_theorem(not(sK17)) | spl94_261), 56.55/7.45 inference(resolution,[],[f4299,f1494])). 56.55/7.45 fof(f4451,plain,( 56.55/7.45 ~spl94_37 | spl94_35 | ~spl94_75), 56.55/7.45 inference(avatar_split_clause,[],[f2157,f853,f671,f680])). 56.55/7.45 fof(f2157,plain,( 56.55/7.45 ~is_a_theorem(strict_equiv(sK17,sK18)) | (spl94_35 | ~spl94_75)), 56.55/7.45 inference(extensionality_resolution,[],[f854,f673])). 56.55/7.45 fof(f4353,plain,( 56.55/7.45 spl94_53 | ~spl94_262 | ~spl94_263), 56.55/7.45 inference(avatar_contradiction_clause,[],[f4352])). 56.55/7.45 fof(f4352,plain,( 56.55/7.45 $false | (spl94_53 | ~spl94_262 | ~spl94_263)), 56.55/7.45 inference(subsumption_resolution,[],[f4351,f4330])). 56.55/7.45 fof(f4330,plain,( 56.55/7.45 is_a_theorem(implies(sK17,sK18)) | ~spl94_263), 56.55/7.45 inference(avatar_component_clause,[],[f4328])). 56.55/7.45 fof(f4351,plain,( 56.55/7.45 ~is_a_theorem(implies(sK17,sK18)) | (spl94_53 | ~spl94_262)), 56.55/7.45 inference(subsumption_resolution,[],[f4348,f759])). 56.55/7.45 fof(f4348,plain,( 56.55/7.45 is_a_theorem(equiv(sK17,sK18)) | ~is_a_theorem(implies(sK17,sK18)) | ~spl94_262), 56.55/7.45 inference(resolution,[],[f4320,f1730])). 56.55/7.45 fof(f4320,plain,( 56.55/7.45 is_a_theorem(implies(sK18,sK17)) | ~spl94_262), 56.55/7.45 inference(avatar_component_clause,[],[f4318])). 56.55/7.45 fof(f4340,plain,( 56.55/7.45 spl94_174 | ~spl94_172 | ~spl94_189 | ~spl94_261), 56.55/7.45 inference(avatar_split_clause,[],[f4314,f4298,f2281,f2151,f2165])). 56.55/7.45 fof(f4314,plain,( 56.55/7.45 is_a_theorem(strict_equiv(sK18,sK17)) | (~spl94_172 | ~spl94_189 | ~spl94_261)), 56.55/7.45 inference(subsumption_resolution,[],[f4310,f2153])). 56.55/7.45 fof(f2153,plain,( 56.55/7.45 is_a_theorem(strict_implies(sK18,sK17)) | ~spl94_172), 56.55/7.45 inference(avatar_component_clause,[],[f2151])). 56.55/7.45 fof(f4310,plain,( 56.55/7.45 ~is_a_theorem(strict_implies(sK18,sK17)) | is_a_theorem(strict_equiv(sK18,sK17)) | (~spl94_189 | ~spl94_261)), 56.55/7.45 inference(resolution,[],[f4300,f2282])). 56.55/7.45 fof(f4300,plain,( 56.55/7.45 is_a_theorem(strict_implies(sK17,sK18)) | ~spl94_261), 56.55/7.45 inference(avatar_component_clause,[],[f4298])). 56.55/7.45 fof(f4331,plain,( 56.55/7.45 spl94_263 | ~spl94_261), 56.55/7.45 inference(avatar_split_clause,[],[f4311,f4298,f4328])). 56.55/7.45 fof(f4311,plain,( 56.55/7.45 is_a_theorem(implies(sK17,sK18)) | ~spl94_261), 56.55/7.45 inference(resolution,[],[f4300,f879])). 56.55/7.45 fof(f4321,plain,( 56.55/7.45 spl94_262 | ~spl94_172), 56.55/7.45 inference(avatar_split_clause,[],[f4263,f2151,f4318])). 56.55/7.45 fof(f4263,plain,( 56.55/7.45 is_a_theorem(implies(sK18,sK17)) | ~spl94_172), 56.55/7.45 inference(resolution,[],[f2153,f879])). 56.55/7.45 fof(f4316,plain,( 56.55/7.45 ~spl94_172 | spl94_174 | ~spl94_189 | ~spl94_261), 56.55/7.45 inference(avatar_contradiction_clause,[],[f4315])). 56.55/7.45 fof(f4315,plain,( 56.55/7.45 $false | (~spl94_172 | spl94_174 | ~spl94_189 | ~spl94_261)), 56.55/7.45 inference(subsumption_resolution,[],[f4314,f2167])). 56.55/7.45 fof(f4313,plain,( 56.55/7.45 ~spl94_172 | spl94_174 | ~spl94_189 | ~spl94_261), 56.55/7.45 inference(avatar_contradiction_clause,[],[f4308])). 56.55/7.45 fof(f4308,plain,( 56.55/7.45 $false | (~spl94_172 | spl94_174 | ~spl94_189 | ~spl94_261)), 56.55/7.45 inference(unit_resulting_resolution,[],[f2167,f2153,f4300,f2282])). 56.55/7.45 fof(f4301,plain,( 56.55/7.45 spl94_261 | ~spl94_37), 56.55/7.45 inference(avatar_split_clause,[],[f4246,f680,f4298])). 56.55/7.45 fof(f4246,plain,( 56.55/7.45 is_a_theorem(strict_implies(sK17,sK18)) | ~spl94_37), 56.55/7.45 inference(resolution,[],[f682,f1065])). 56.55/7.45 fof(f1065,plain,( 56.55/7.45 ( ! [X2,X3] : (~is_a_theorem(strict_equiv(X2,X3)) | is_a_theorem(strict_implies(X2,X3))) )), 56.55/7.45 inference(superposition,[],[f873,f469])). 56.55/7.45 fof(f873,plain,( 56.55/7.45 ( ! [X10,X9] : (~is_a_theorem(and(X9,X10)) | is_a_theorem(X9)) )), 56.55/7.45 inference(resolution,[],[f489,f483])). 56.55/7.45 fof(f682,plain,( 56.55/7.45 is_a_theorem(strict_equiv(sK17,sK18)) | ~spl94_37), 56.55/7.45 inference(avatar_component_clause,[],[f680])). 56.55/7.45 fof(f4288,plain,( 56.55/7.45 ~spl94_260 | ~spl94_172 | spl94_235), 56.55/7.45 inference(avatar_split_clause,[],[f4265,f3317,f2151,f4285])). 56.55/7.45 fof(f4265,plain,( 56.55/7.45 ~is_a_theorem(necessarily(sK18)) | (~spl94_172 | spl94_235)), 56.55/7.45 inference(subsumption_resolution,[],[f4261,f3319])). 56.55/7.45 fof(f4261,plain,( 56.55/7.45 is_a_theorem(necessarily(sK17)) | ~is_a_theorem(necessarily(sK18)) | ~spl94_172), 56.55/7.45 inference(resolution,[],[f2153,f1576])). 56.55/7.45 fof(f4271,plain,( 56.55/7.45 ~spl94_259 | ~spl94_87 | ~spl94_172 | spl94_173), 56.55/7.45 inference(avatar_split_clause,[],[f4266,f2160,f2151,f930,f4268])). 56.55/7.45 fof(f930,plain,( 56.55/7.45 spl94_87 <=> ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(X0) | ~is_a_theorem(strict_implies(X0,X1)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_87])])). 56.55/7.45 fof(f4266,plain,( 56.55/7.45 ~is_a_theorem(sK18) | (~spl94_87 | ~spl94_172 | spl94_173)), 56.55/7.45 inference(subsumption_resolution,[],[f4264,f2162])). 56.55/7.45 fof(f4264,plain,( 56.55/7.45 ~is_a_theorem(sK18) | is_a_theorem(sK17) | (~spl94_87 | ~spl94_172)), 56.55/7.45 inference(resolution,[],[f2153,f931])). 56.55/7.45 fof(f931,plain,( 56.55/7.45 ( ! [X0,X1] : (~is_a_theorem(strict_implies(X0,X1)) | ~is_a_theorem(X0) | is_a_theorem(X1)) ) | ~spl94_87), 56.55/7.45 inference(avatar_component_clause,[],[f930])). 56.55/7.45 fof(f4236,plain,( 56.55/7.45 ~spl94_81 | spl94_82 | ~spl94_87), 56.55/7.45 inference(avatar_contradiction_clause,[],[f4217])). 56.55/7.45 fof(f4217,plain,( 56.55/7.45 $false | (~spl94_81 | spl94_82 | ~spl94_87)), 56.55/7.45 inference(unit_resulting_resolution,[],[f900,f1571,f895,f931])). 56.55/7.45 fof(f900,plain,( 56.55/7.45 ~is_a_theorem(implies(or(sK11,sK12),or(sK12,sK11))) | spl94_82), 56.55/7.45 inference(avatar_component_clause,[],[f898])). 56.55/7.45 fof(f898,plain,( 56.55/7.45 spl94_82 <=> is_a_theorem(implies(or(sK11,sK12),or(sK12,sK11)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_82])])). 56.55/7.45 fof(f4235,plain,( 56.55/7.45 ~spl94_81 | spl94_82), 56.55/7.45 inference(avatar_contradiction_clause,[],[f4216])). 56.55/7.45 fof(f4216,plain,( 56.55/7.45 $false | (~spl94_81 | spl94_82)), 56.55/7.45 inference(unit_resulting_resolution,[],[f900,f1559,f895,f489])). 56.55/7.45 fof(f4234,plain,( 56.55/7.45 ~spl94_81 | spl94_82), 56.55/7.45 inference(avatar_contradiction_clause,[],[f4215])). 56.55/7.45 fof(f4215,plain,( 56.55/7.45 $false | (~spl94_81 | spl94_82)), 56.55/7.45 inference(unit_resulting_resolution,[],[f1559,f900,f895,f1739])). 56.55/7.45 fof(f4233,plain,( 56.55/7.45 ~spl94_81 | spl94_82), 56.55/7.45 inference(avatar_contradiction_clause,[],[f4214])). 56.55/7.45 fof(f4214,plain,( 56.55/7.45 $false | (~spl94_81 | spl94_82)), 56.55/7.45 inference(unit_resulting_resolution,[],[f1559,f900,f895,f1739])). 56.55/7.45 fof(f4232,plain,( 56.55/7.45 ~spl94_81 | spl94_82), 56.55/7.45 inference(avatar_contradiction_clause,[],[f4213])). 56.55/7.45 fof(f4213,plain,( 56.55/7.45 $false | (~spl94_81 | spl94_82)), 56.55/7.45 inference(unit_resulting_resolution,[],[f900,f895])). 56.55/7.45 fof(f4231,plain,( 56.55/7.45 ~spl94_81 | spl94_82), 56.55/7.45 inference(avatar_contradiction_clause,[],[f4218])). 56.55/7.45 fof(f4218,plain,( 56.55/7.45 $false | (~spl94_81 | spl94_82)), 56.55/7.45 inference(resolution,[],[f895,f900])). 56.55/7.45 fof(f4212,plain,( 56.55/7.45 spl94_258 | ~spl94_232 | ~spl94_256), 56.55/7.45 inference(avatar_split_clause,[],[f4188,f4103,f3149,f4210])). 56.55/7.45 fof(f3149,plain,( 56.55/7.45 spl94_232 <=> ! [X29] : or(X29,X29) = not(not(X29))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_232])])). 56.55/7.45 fof(f4188,plain,( 56.55/7.45 ( ! [X29] : (or(X29,X29) = X29) ) | (~spl94_232 | ~spl94_256)), 56.55/7.45 inference(backward_demodulation,[],[f3150,f4162])). 56.55/7.45 fof(f3150,plain,( 56.55/7.45 ( ! [X29] : (or(X29,X29) = not(not(X29))) ) | ~spl94_232), 56.55/7.45 inference(avatar_component_clause,[],[f3149])). 56.55/7.45 fof(f4208,plain,( 56.55/7.45 spl94_81 | ~spl94_256), 56.55/7.45 inference(avatar_split_clause,[],[f4172,f4103,f894])). 56.55/7.45 fof(f4172,plain,( 56.55/7.45 ( ! [X41,X42] : (is_a_theorem(implies(or(X42,X41),or(X41,X42)))) ) | ~spl94_256), 56.55/7.45 inference(backward_demodulation,[],[f1351,f4162])). 56.55/7.45 fof(f4207,plain,( 56.55/7.45 spl94_257 | ~spl94_256), 56.55/7.45 inference(avatar_split_clause,[],[f4162,f4103,f4205])). 56.55/7.45 fof(f4105,plain,( 56.55/7.45 spl94_256 | ~spl94_217 | ~spl94_223), 56.55/7.45 inference(avatar_split_clause,[],[f3897,f2913,f2833,f4103])). 56.55/7.45 fof(f2833,plain,( 56.55/7.45 spl94_217 <=> ! [X1] : is_a_theorem(or(not(X1),X1))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_217])])). 56.55/7.45 fof(f2913,plain,( 56.55/7.45 spl94_223 <=> ! [X0] : is_a_theorem(implies(X0,not(not(X0))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_223])])). 56.55/7.45 fof(f3897,plain,( 56.55/7.45 ( ! [X11] : (is_a_theorem(equiv(not(not(X11)),X11))) ) | (~spl94_217 | ~spl94_223)), 56.55/7.45 inference(subsumption_resolution,[],[f3896,f2834])). 56.55/7.45 fof(f2834,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(or(not(X1),X1))) ) | ~spl94_217), 56.55/7.45 inference(avatar_component_clause,[],[f2833])). 56.55/7.45 fof(f3896,plain,( 56.55/7.45 ( ! [X11] : (~is_a_theorem(or(not(X11),X11)) | is_a_theorem(equiv(not(not(X11)),X11))) ) | ~spl94_223), 56.55/7.45 inference(forward_demodulation,[],[f3845,f970])). 56.55/7.45 fof(f3845,plain,( 56.55/7.45 ( ! [X11] : (is_a_theorem(equiv(not(not(X11)),X11)) | ~is_a_theorem(implies(not(not(X11)),X11))) ) | ~spl94_223), 56.55/7.45 inference(resolution,[],[f1730,f2914])). 56.55/7.45 fof(f2914,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(implies(X0,not(not(X0))))) ) | ~spl94_223), 56.55/7.45 inference(avatar_component_clause,[],[f2913])). 56.55/7.45 fof(f4003,plain,( 56.55/7.45 ~spl94_255 | spl94_241 | ~spl94_250), 56.55/7.45 inference(avatar_split_clause,[],[f3829,f3814,f3481,f4000])). 56.55/7.45 fof(f3829,plain,( 56.55/7.45 ~is_a_theorem(necessarily(sK56)) | (spl94_241 | ~spl94_250)), 56.55/7.45 inference(resolution,[],[f3815,f3483])). 56.55/7.45 fof(f3998,plain,( 56.55/7.45 ~spl94_254 | spl94_240 | ~spl94_250), 56.55/7.45 inference(avatar_split_clause,[],[f3828,f3814,f3476,f3995])). 56.55/7.45 fof(f3828,plain,( 56.55/7.45 ~is_a_theorem(necessarily(sK14)) | (spl94_240 | ~spl94_250)), 56.55/7.45 inference(resolution,[],[f3815,f3478])). 56.55/7.45 fof(f3938,plain,( 56.55/7.45 ~spl94_253 | spl94_239 | ~spl94_250), 56.55/7.45 inference(avatar_split_clause,[],[f3826,f3814,f3460,f3935])). 56.55/7.45 fof(f3826,plain,( 56.55/7.45 ~is_a_theorem(necessarily(sK4)) | (spl94_239 | ~spl94_250)), 56.55/7.45 inference(resolution,[],[f3815,f3462])). 56.55/7.45 fof(f3908,plain,( 56.55/7.45 ~spl94_252 | spl94_91 | ~spl94_250), 56.55/7.45 inference(avatar_split_clause,[],[f3827,f3814,f949,f3905])). 56.55/7.45 fof(f3827,plain,( 56.55/7.45 ~is_a_theorem(necessarily(sK5)) | (spl94_91 | ~spl94_250)), 56.55/7.45 inference(resolution,[],[f3815,f951])). 56.55/7.45 fof(f3838,plain,( 56.55/7.45 ~spl94_251 | spl94_121 | ~spl94_250), 56.55/7.45 inference(avatar_split_clause,[],[f3825,f3814,f1191,f3835])). 56.55/7.45 fof(f3825,plain,( 56.55/7.45 ~is_a_theorem(necessarily(sK2)) | (spl94_121 | ~spl94_250)), 56.55/7.45 inference(resolution,[],[f3815,f1193])). 56.55/7.45 fof(f3816,plain,( 56.55/7.45 spl94_250 | ~spl94_199), 56.55/7.45 inference(avatar_split_clause,[],[f3207,f2435,f3814])). 56.55/7.45 fof(f3207,plain,( 56.55/7.45 ( ! [X16] : (is_a_theorem(necessarily(possibly(X16))) | ~is_a_theorem(necessarily(X16))) ) | ~spl94_199), 56.55/7.45 inference(forward_demodulation,[],[f3192,f2436])). 56.55/7.45 fof(f3192,plain,( 56.55/7.45 ( ! [X16] : (is_a_theorem(necessarily(necessarily(possibly(X16)))) | ~is_a_theorem(necessarily(X16))) )), 56.55/7.45 inference(resolution,[],[f1576,f1083])). 56.55/7.45 fof(f3768,plain,( 56.55/7.45 ~spl94_248 | ~spl94_249 | ~spl94_83 | spl94_245), 56.55/7.45 inference(avatar_split_clause,[],[f3600,f3593,f911,f3765,f3761])). 56.55/7.45 fof(f3600,plain,( 56.55/7.45 ~is_a_theorem(sK30) | ~is_a_theorem(not(sK31)) | (~spl94_83 | spl94_245)), 56.55/7.45 inference(resolution,[],[f3595,f912])). 56.55/7.45 fof(f3634,plain,( 56.55/7.45 ~spl94_246 | ~spl94_247 | ~spl94_83 | spl94_244), 56.55/7.45 inference(avatar_split_clause,[],[f3599,f3570,f911,f3631,f3627])). 56.55/7.45 fof(f3599,plain,( 56.55/7.45 ~is_a_theorem(sK83) | ~is_a_theorem(not(sK84)) | (~spl94_83 | spl94_244)), 56.55/7.45 inference(resolution,[],[f3572,f912])). 56.55/7.45 fof(f3596,plain,( 56.55/7.45 ~spl94_245 | spl94_140), 56.55/7.45 inference(avatar_split_clause,[],[f3465,f1299,f3593])). 56.55/7.45 fof(f3465,plain,( 56.55/7.45 ~is_a_theorem(and(sK30,not(sK31))) | spl94_140), 56.55/7.45 inference(resolution,[],[f1693,f1301])). 56.55/7.45 fof(f3573,plain,( 56.55/7.45 ~spl94_244 | spl94_130), 56.55/7.45 inference(avatar_split_clause,[],[f3464,f1240,f3570])). 56.55/7.45 fof(f3464,plain,( 56.55/7.45 ~is_a_theorem(and(sK83,not(sK84))) | spl94_130), 56.55/7.45 inference(resolution,[],[f1693,f1242])). 56.55/7.45 fof(f3556,plain,( 56.55/7.45 ~spl94_243 | spl94_52), 56.55/7.45 inference(avatar_split_clause,[],[f3269,f752,f3553])). 56.55/7.45 fof(f3269,plain,( 56.55/7.45 ~is_a_theorem(necessarily(and(sK71,sK70))) | spl94_52), 56.55/7.45 inference(resolution,[],[f3203,f754])). 56.55/7.45 fof(f3522,plain,( 56.55/7.45 spl94_242 | ~spl94_217), 56.55/7.45 inference(avatar_split_clause,[],[f2841,f2833,f3520])). 56.55/7.45 fof(f3520,plain,( 56.55/7.45 spl94_242 <=> ! [X6,X5] : is_a_theorem(or(implies(X5,necessarily(not(X6))),and(X5,possibly(X6))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_242])])). 56.55/7.45 fof(f2841,plain,( 56.55/7.45 ( ! [X6,X5] : (is_a_theorem(or(implies(X5,necessarily(not(X6))),and(X5,possibly(X6))))) ) | ~spl94_217), 56.55/7.45 inference(superposition,[],[f2834,f953])). 56.55/7.45 fof(f3484,plain,( 56.55/7.45 ~spl94_241 | spl94_38), 56.55/7.45 inference(avatar_split_clause,[],[f3282,f685,f3481])). 56.55/7.45 fof(f3282,plain,( 56.55/7.45 ~is_a_theorem(necessarily(possibly(sK56))) | spl94_38), 56.55/7.45 inference(resolution,[],[f3203,f687])). 56.55/7.45 fof(f3479,plain,( 56.55/7.45 ~spl94_240 | spl94_149), 56.55/7.45 inference(avatar_split_clause,[],[f3274,f1401,f3476])). 56.55/7.45 fof(f3274,plain,( 56.55/7.45 ~is_a_theorem(necessarily(possibly(sK14))) | spl94_149), 56.55/7.45 inference(resolution,[],[f3203,f1403])). 56.55/7.45 fof(f3463,plain,( 56.55/7.45 ~spl94_239 | spl94_65), 56.55/7.45 inference(avatar_split_clause,[],[f3273,f809,f3460])). 56.55/7.45 fof(f3273,plain,( 56.55/7.45 ~is_a_theorem(necessarily(possibly(sK4))) | spl94_65), 56.55/7.45 inference(resolution,[],[f3203,f811])). 56.55/7.45 fof(f3377,plain,( 56.55/7.45 ~spl94_238 | spl94_90), 56.55/7.45 inference(avatar_split_clause,[],[f3283,f944,f3374])). 56.55/7.45 fof(f944,plain,( 56.55/7.45 spl94_90 <=> is_a_theorem(strict_implies(sK80,sK81))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_90])])). 56.55/7.45 fof(f3283,plain,( 56.55/7.45 ~is_a_theorem(necessarily(sK81)) | spl94_90), 56.55/7.45 inference(resolution,[],[f3203,f945])). 56.55/7.45 fof(f945,plain,( 56.55/7.45 ~is_a_theorem(strict_implies(sK80,sK81)) | spl94_90), 56.55/7.45 inference(avatar_component_clause,[],[f944])). 56.55/7.45 fof(f3350,plain,( 56.55/7.45 ~spl94_237 | spl94_137), 56.55/7.45 inference(avatar_split_clause,[],[f3281,f1282,f3347])). 56.55/7.45 fof(f3281,plain,( 56.55/7.45 ~is_a_theorem(necessarily(sK35)) | spl94_137), 56.55/7.45 inference(resolution,[],[f3203,f1284])). 56.55/7.45 fof(f3345,plain,( 56.55/7.45 ~spl94_236 | spl94_129), 56.55/7.45 inference(avatar_split_clause,[],[f3280,f1233,f3342])). 56.55/7.45 fof(f3280,plain,( 56.55/7.45 ~is_a_theorem(necessarily(sK26)) | spl94_129), 56.55/7.45 inference(resolution,[],[f3203,f1235])). 56.55/7.45 fof(f3320,plain,( 56.55/7.45 ~spl94_235 | spl94_172), 56.55/7.45 inference(avatar_split_clause,[],[f3279,f2151,f3317])). 56.55/7.45 fof(f3279,plain,( 56.55/7.45 ~is_a_theorem(necessarily(sK17)) | spl94_172), 56.55/7.45 inference(resolution,[],[f3203,f2152])). 56.55/7.45 fof(f3293,plain,( 56.55/7.45 ~spl94_234 | spl94_74), 56.55/7.45 inference(avatar_split_clause,[],[f3276,f848,f3290])). 56.55/7.45 fof(f3276,plain,( 56.55/7.45 ~is_a_theorem(necessarily(sK9)) | spl94_74), 56.55/7.45 inference(resolution,[],[f3203,f850])). 56.55/7.45 fof(f3182,plain,( 56.55/7.45 spl94_233 | ~spl94_229), 56.55/7.45 inference(avatar_split_clause,[],[f3162,f3075,f3180])). 56.55/7.45 fof(f3162,plain,( 56.55/7.45 ( ! [X1] : (~is_a_theorem(possibly(X1)) | ~is_a_theorem(not(X1))) ) | ~spl94_229), 56.55/7.45 inference(resolution,[],[f3076,f491])). 56.55/7.45 fof(f3151,plain,( 56.55/7.45 spl94_232 | ~spl94_191), 56.55/7.45 inference(avatar_split_clause,[],[f2352,f2325,f3149])). 56.55/7.45 fof(f2352,plain,( 56.55/7.45 ( ! [X29] : (or(X29,X29) = not(not(X29))) ) | ~spl94_191), 56.55/7.45 inference(superposition,[],[f471,f2326])). 56.55/7.45 fof(f3125,plain,( 56.55/7.45 spl94_231 | ~spl94_191), 56.55/7.45 inference(avatar_split_clause,[],[f2329,f2325,f3123])). 56.55/7.45 fof(f2329,plain,( 56.55/7.45 ( ! [X1] : (implies(X1,X1) = equiv(X1,X1)) ) | ~spl94_191), 56.55/7.45 inference(superposition,[],[f2326,f472])). 56.55/7.45 fof(f3121,plain,( 56.55/7.45 spl94_230 | ~spl94_191), 56.55/7.45 inference(avatar_split_clause,[],[f2328,f2325,f3119])). 56.55/7.45 fof(f2328,plain,( 56.55/7.45 ( ! [X0] : (strict_implies(X0,X0) = strict_equiv(X0,X0)) ) | ~spl94_191), 56.55/7.45 inference(superposition,[],[f2326,f469])). 56.55/7.45 fof(f3077,plain,( 56.55/7.45 spl94_229 | ~spl94_181), 56.55/7.45 inference(avatar_split_clause,[],[f2234,f2214,f3075])). 56.55/7.45 fof(f2234,plain,( 56.55/7.45 ( ! [X0] : (~is_a_theorem(possibly(X0)) | ~is_a_theorem(necessarily(not(X0)))) ) | ~spl94_181), 56.55/7.45 inference(superposition,[],[f2215,f470])). 56.55/7.45 fof(f2215,plain,( 56.55/7.45 ( ! [X2] : (~is_a_theorem(not(X2)) | ~is_a_theorem(X2)) ) | ~spl94_181), 56.55/7.45 inference(avatar_component_clause,[],[f2214])). 56.55/7.45 fof(f3033,plain,( 56.55/7.45 spl94_228 | ~spl94_223), 56.55/7.45 inference(avatar_split_clause,[],[f2925,f2913,f3031])). 56.55/7.45 fof(f3031,plain,( 56.55/7.45 spl94_228 <=> ! [X0] : is_a_theorem(or(X0,not(not(not(X0)))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_228])])). 56.55/7.45 fof(f2925,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(or(X0,not(not(not(X0)))))) ) | ~spl94_223), 56.55/7.45 inference(superposition,[],[f2914,f970])). 56.55/7.45 fof(f2954,plain,( 56.55/7.45 spl94_227 | ~spl94_223), 56.55/7.45 inference(avatar_split_clause,[],[f2917,f2913,f2952])). 56.55/7.45 fof(f2952,plain,( 56.55/7.45 spl94_227 <=> ! [X1] : (is_a_theorem(not(not(X1))) | ~is_a_theorem(X1))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_227])])). 56.55/7.45 fof(f2917,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(not(not(X1))) | ~is_a_theorem(X1)) ) | ~spl94_223), 56.55/7.45 inference(resolution,[],[f2914,f489])). 56.55/7.45 fof(f2950,plain,( 56.55/7.45 spl94_226 | ~spl94_223), 56.55/7.45 inference(avatar_split_clause,[],[f2916,f2913,f2948])). 56.55/7.45 fof(f2948,plain,( 56.55/7.45 spl94_226 <=> ! [X0] : is_a_theorem(strict_implies(X0,not(not(X0))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_226])])). 56.55/7.45 fof(f2916,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(strict_implies(X0,not(not(X0))))) ) | ~spl94_223), 56.55/7.45 inference(resolution,[],[f2914,f866])). 56.55/7.45 fof(f2933,plain,( 56.55/7.45 spl94_225 | ~spl94_217), 56.55/7.45 inference(avatar_split_clause,[],[f2837,f2833,f2931])). 56.55/7.45 fof(f2931,plain,( 56.55/7.45 spl94_225 <=> ! [X1] : (is_a_theorem(X1) | ~is_a_theorem(not(not(X1))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_225])])). 56.55/7.45 fof(f2837,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(X1) | ~is_a_theorem(not(not(X1)))) ) | ~spl94_217), 56.55/7.45 inference(resolution,[],[f2834,f1339])). 56.55/7.45 fof(f2929,plain,( 56.55/7.45 spl94_224 | ~spl94_217), 56.55/7.45 inference(avatar_split_clause,[],[f2846,f2833,f2927])). 56.55/7.45 fof(f2927,plain,( 56.55/7.45 spl94_224 <=> ! [X4,X3] : is_a_theorem(not(and(not(or(X3,X4)),or(X3,X4))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_224])])). 56.55/7.45 fof(f2846,plain,( 56.55/7.45 ( ! [X3,X4] : (is_a_theorem(not(and(not(or(X3,X4)),or(X3,X4))))) ) | ~spl94_217), 56.55/7.45 inference(forward_demodulation,[],[f2840,f969])). 56.55/7.45 fof(f2840,plain,( 56.55/7.45 ( ! [X3,X4] : (is_a_theorem(or(or(X3,X4),and(not(X3),not(X4))))) ) | ~spl94_217), 56.55/7.45 inference(superposition,[],[f2834,f471])). 56.55/7.45 fof(f2915,plain,( 56.55/7.45 spl94_223 | ~spl94_217), 56.55/7.45 inference(avatar_split_clause,[],[f2836,f2833,f2913])). 56.55/7.45 fof(f2836,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(implies(X0,not(not(X0))))) ) | ~spl94_217), 56.55/7.45 inference(resolution,[],[f2834,f1004])). 56.55/7.45 fof(f2892,plain,( 56.55/7.45 spl94_222 | ~spl94_217), 56.55/7.45 inference(avatar_split_clause,[],[f2839,f2833,f2890])). 56.55/7.45 fof(f2839,plain,( 56.55/7.45 ( ! [X2,X1] : (is_a_theorem(or(implies(X1,X2),and(X1,not(X2))))) ) | ~spl94_217), 56.55/7.45 inference(superposition,[],[f2834,f468])). 56.55/7.45 fof(f2888,plain,( 56.55/7.45 ~spl94_221 | spl94_202), 56.55/7.45 inference(avatar_split_clause,[],[f2784,f2471,f2885])). 56.55/7.45 fof(f2784,plain,( 56.55/7.45 ~is_a_theorem(not(and(sK32,sK30))) | spl94_202), 56.55/7.45 inference(resolution,[],[f2473,f868])). 56.55/7.45 fof(f2861,plain,( 56.55/7.45 spl94_220 | ~spl94_217), 56.55/7.45 inference(avatar_split_clause,[],[f2838,f2833,f2859])). 56.55/7.45 fof(f2838,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(or(possibly(X0),necessarily(not(X0))))) ) | ~spl94_217), 56.55/7.45 inference(superposition,[],[f2834,f470])). 56.55/7.45 fof(f2857,plain,( 56.55/7.45 ~spl94_218 | ~spl94_219 | ~spl94_83 | spl94_209), 56.55/7.45 inference(avatar_split_clause,[],[f2755,f2718,f911,f2854,f2850])). 56.55/7.45 fof(f2755,plain,( 56.55/7.45 ~is_a_theorem(sK22) | ~is_a_theorem(sK23) | (~spl94_83 | spl94_209)), 56.55/7.45 inference(resolution,[],[f2720,f912])). 56.55/7.45 fof(f2835,plain,( 56.55/7.45 spl94_217 | ~spl94_70 | ~spl94_191), 56.55/7.45 inference(avatar_split_clause,[],[f2817,f2325,f831,f2833])). 56.55/7.45 fof(f831,plain,( 56.55/7.45 spl94_70 <=> ! [X1] : is_a_theorem(implies(implies(not(X1),X1),X1))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_70])])). 56.55/7.45 fof(f2817,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(or(not(X1),X1))) ) | (~spl94_70 | ~spl94_191)), 56.55/7.45 inference(forward_demodulation,[],[f2816,f970])). 56.55/7.45 fof(f2816,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(implies(not(not(X1)),X1))) ) | (~spl94_70 | ~spl94_191)), 56.55/7.45 inference(forward_demodulation,[],[f2815,f2352])). 56.55/7.45 fof(f2815,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(implies(or(X1,X1),X1))) ) | ~spl94_70), 56.55/7.45 inference(forward_demodulation,[],[f832,f970])). 56.55/7.45 fof(f832,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(implies(implies(not(X1),X1),X1))) ) | ~spl94_70), 56.55/7.45 inference(avatar_component_clause,[],[f831])). 56.55/7.45 fof(f2831,plain,( 56.55/7.45 ~spl94_215 | ~spl94_216 | ~spl94_83 | spl94_214), 56.55/7.45 inference(avatar_split_clause,[],[f2822,f2786,f911,f2828,f2824])). 56.55/7.45 fof(f2822,plain,( 56.55/7.45 ~is_a_theorem(sK31) | ~is_a_theorem(sK32) | (~spl94_83 | spl94_214)), 56.55/7.45 inference(resolution,[],[f2788,f912])). 56.55/7.45 fof(f2805,plain,( 56.55/7.45 spl94_193 | ~spl94_212), 56.55/7.45 inference(avatar_contradiction_clause,[],[f2791])). 56.55/7.45 fof(f2791,plain,( 56.55/7.45 $false | (spl94_193 | ~spl94_212)), 56.55/7.45 inference(unit_resulting_resolution,[],[f1559,f2395,f2776,f489])). 56.55/7.45 fof(f2776,plain,( 56.55/7.45 ( ! [X8,X9] : (is_a_theorem(implies(implies(X8,X9),or(not(X8),X9)))) ) | ~spl94_212), 56.55/7.45 inference(avatar_component_clause,[],[f2775])). 56.55/7.45 fof(f2775,plain,( 56.55/7.45 spl94_212 <=> ! [X9,X8] : is_a_theorem(implies(implies(X8,X9),or(not(X8),X9)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_212])])). 56.55/7.45 fof(f2395,plain,( 56.55/7.45 ~is_a_theorem(or(not(sK6),sK6)) | spl94_193), 56.55/7.45 inference(avatar_component_clause,[],[f2393])). 56.55/7.45 fof(f2393,plain,( 56.55/7.45 spl94_193 <=> is_a_theorem(or(not(sK6),sK6))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_193])])). 56.55/7.45 fof(f2804,plain,( 56.55/7.45 spl94_192 | ~spl94_212), 56.55/7.45 inference(avatar_contradiction_clause,[],[f2790])). 56.55/7.45 fof(f2790,plain,( 56.55/7.45 $false | (spl94_192 | ~spl94_212)), 56.55/7.45 inference(unit_resulting_resolution,[],[f1559,f2390,f2776,f489])). 56.55/7.45 fof(f2390,plain,( 56.55/7.45 ~is_a_theorem(or(not(sK1),sK1)) | spl94_192), 56.55/7.45 inference(avatar_component_clause,[],[f2388])). 56.55/7.45 fof(f2388,plain,( 56.55/7.45 spl94_192 <=> is_a_theorem(or(not(sK1),sK1))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_192])])). 56.55/7.45 fof(f2789,plain,( 56.55/7.45 ~spl94_214 | spl94_202), 56.55/7.45 inference(avatar_split_clause,[],[f2783,f2471,f2786])). 56.55/7.45 fof(f2783,plain,( 56.55/7.45 ~is_a_theorem(and(sK31,sK32)) | spl94_202), 56.55/7.45 inference(resolution,[],[f2473,f869])). 56.55/7.45 fof(f2782,plain,( 56.55/7.45 ~spl94_213 | spl94_211), 56.55/7.45 inference(avatar_split_clause,[],[f2773,f2769,f2779])). 56.55/7.45 fof(f2769,plain,( 56.55/7.45 spl94_211 <=> is_a_theorem(necessarily(not(sK5)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_211])])). 56.55/7.45 fof(f2773,plain,( 56.55/7.45 ~is_a_theorem(not(sK5)) | spl94_211), 56.55/7.45 inference(resolution,[],[f2771,f491])). 56.55/7.45 fof(f2771,plain,( 56.55/7.45 ~is_a_theorem(necessarily(not(sK5))) | spl94_211), 56.55/7.45 inference(avatar_component_clause,[],[f2769])). 56.55/7.45 fof(f2777,plain,( 56.55/7.45 spl94_212 | ~spl94_191), 56.55/7.45 inference(avatar_split_clause,[],[f2376,f2325,f2775])). 56.55/7.45 fof(f2376,plain,( 56.55/7.45 ( ! [X8,X9] : (is_a_theorem(implies(implies(X8,X9),or(not(X8),X9)))) ) | ~spl94_191), 56.55/7.45 inference(backward_demodulation,[],[f1565,f2375])). 56.55/7.45 fof(f2375,plain,( 56.55/7.45 ( ! [X16,X15] : (or(not(X15),X16) = implies(or(X15,X15),X16)) ) | ~spl94_191), 56.55/7.45 inference(forward_demodulation,[],[f2343,f970])). 56.55/7.45 fof(f2343,plain,( 56.55/7.45 ( ! [X16,X15] : (implies(implies(not(X15),X15),X16) = or(not(X15),X16)) ) | ~spl94_191), 56.55/7.45 inference(superposition,[],[f975,f2326])). 56.55/7.45 fof(f1565,plain,( 56.55/7.45 ( ! [X8,X9] : (is_a_theorem(implies(implies(X8,X9),implies(or(X8,X8),X9)))) )), 56.55/7.45 inference(resolution,[],[f1011,f501])). 56.55/7.45 fof(f2772,plain,( 56.55/7.45 ~spl94_211 | spl94_68), 56.55/7.45 inference(avatar_split_clause,[],[f2756,f822,f2769])). 56.55/7.45 fof(f2756,plain,( 56.55/7.45 ~is_a_theorem(necessarily(not(sK5))) | spl94_68), 56.55/7.45 inference(resolution,[],[f1535,f824])). 56.55/7.45 fof(f1535,plain,( 56.55/7.45 ( ! [X10,X9] : (is_a_theorem(implies(possibly(X9),X10)) | ~is_a_theorem(necessarily(not(X9)))) )), 56.55/7.45 inference(superposition,[],[f869,f974])). 56.55/7.45 fof(f2725,plain,( 56.55/7.45 ~spl94_209 | ~spl94_210 | ~spl94_83 | spl94_152), 56.55/7.45 inference(avatar_split_clause,[],[f2261,f1415,f911,f2722,f2718])). 56.55/7.45 fof(f2261,plain,( 56.55/7.45 ~is_a_theorem(sK21) | ~is_a_theorem(and(sK22,sK23)) | (~spl94_83 | spl94_152)), 56.55/7.45 inference(resolution,[],[f912,f1417])). 56.55/7.45 fof(f2664,plain,( 56.55/7.45 ~spl94_208 | spl94_206), 56.55/7.45 inference(avatar_split_clause,[],[f2659,f2586,f2661])). 56.55/7.45 fof(f2659,plain,( 56.55/7.45 ~is_a_theorem(sK15) | spl94_206), 56.55/7.45 inference(resolution,[],[f2588,f902])). 56.55/7.45 fof(f2612,plain,( 56.55/7.45 ~spl94_207 | spl94_205), 56.55/7.45 inference(avatar_split_clause,[],[f2607,f2582,f2609])). 56.55/7.45 fof(f2607,plain,( 56.55/7.45 ~is_a_theorem(sK16) | spl94_205), 56.55/7.45 inference(resolution,[],[f2584,f902])). 56.55/7.45 fof(f2589,plain,( 56.55/7.45 ~spl94_205 | ~spl94_206 | ~spl94_83 | spl94_150), 56.55/7.45 inference(avatar_split_clause,[],[f2259,f1406,f911,f2586,f2582])). 56.55/7.45 fof(f2259,plain,( 56.55/7.45 ~is_a_theorem(possibly(sK15)) | ~is_a_theorem(possibly(sK16)) | (~spl94_83 | spl94_150)), 56.55/7.45 inference(resolution,[],[f912,f1408])). 56.55/7.45 fof(f2525,plain,( 56.55/7.45 ~spl94_204 | spl94_184), 56.55/7.45 inference(avatar_split_clause,[],[f2438,f2230,f2522])). 56.55/7.45 fof(f2438,plain,( 56.55/7.45 ~is_a_theorem(not(or(sK82,sK83))) | spl94_184), 56.55/7.45 inference(resolution,[],[f2232,f1479])). 56.55/7.45 fof(f2479,plain,( 56.55/7.45 ~spl94_203 | spl94_200), 56.55/7.45 inference(avatar_split_clause,[],[f2464,f2441,f2476])). 56.55/7.45 fof(f2464,plain,( 56.55/7.45 ~is_a_theorem(sK84) | spl94_200), 56.55/7.45 inference(resolution,[],[f2443,f868])). 56.55/7.45 fof(f2474,plain,( 56.55/7.45 ~spl94_202 | spl94_140), 56.55/7.45 inference(avatar_split_clause,[],[f1303,f1299,f2471])). 56.55/7.45 fof(f1303,plain,( 56.55/7.45 ~is_a_theorem(or(and(sK31,sK32),not(and(sK32,sK30)))) | spl94_140), 56.55/7.45 inference(resolution,[],[f1301,f871])). 56.55/7.45 fof(f2469,plain,( 56.55/7.45 ~spl94_201 | spl94_200), 56.55/7.45 inference(avatar_split_clause,[],[f2463,f2441,f2466])). 56.55/7.45 fof(f2463,plain,( 56.55/7.45 ~is_a_theorem(sK82) | spl94_200), 56.55/7.45 inference(resolution,[],[f2443,f869])). 56.55/7.45 fof(f2444,plain,( 56.55/7.45 ~spl94_200 | spl94_184), 56.55/7.45 inference(avatar_split_clause,[],[f2439,f2230,f2441])). 56.55/7.45 fof(f2439,plain,( 56.55/7.45 ~is_a_theorem(or(sK82,sK84)) | spl94_184), 56.55/7.45 inference(resolution,[],[f2232,f871])). 56.55/7.45 fof(f2437,plain,( 56.55/7.45 spl94_199 | ~spl94_75 | ~spl94_198), 56.55/7.45 inference(avatar_split_clause,[],[f2426,f2422,f853,f2435])). 56.55/7.45 fof(f2422,plain,( 56.55/7.45 spl94_198 <=> ! [X30] : is_a_theorem(strict_equiv(necessarily(necessarily(X30)),necessarily(X30)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_198])])). 56.55/7.45 fof(f2426,plain,( 56.55/7.45 ( ! [X1] : (necessarily(X1) = necessarily(necessarily(X1))) ) | (~spl94_75 | ~spl94_198)), 56.55/7.45 inference(resolution,[],[f2423,f854])). 56.55/7.45 fof(f2423,plain,( 56.55/7.45 ( ! [X30] : (is_a_theorem(strict_equiv(necessarily(necessarily(X30)),necessarily(X30)))) ) | ~spl94_198), 56.55/7.45 inference(avatar_component_clause,[],[f2422])). 56.55/7.45 fof(f2424,plain,( 56.55/7.45 spl94_198 | ~spl94_61 | ~spl94_189), 56.55/7.45 inference(avatar_split_clause,[],[f2308,f2281,f792,f2422])). 56.55/7.45 fof(f792,plain,( 56.55/7.45 spl94_61 <=> ! [X1] : is_a_theorem(strict_implies(necessarily(X1),necessarily(necessarily(X1))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_61])])). 56.55/7.45 fof(f2308,plain,( 56.55/7.45 ( ! [X30] : (is_a_theorem(strict_equiv(necessarily(necessarily(X30)),necessarily(X30)))) ) | (~spl94_61 | ~spl94_189)), 56.55/7.45 inference(subsumption_resolution,[],[f2302,f1091])). 56.55/7.45 fof(f2302,plain,( 56.55/7.45 ( ! [X30] : (~is_a_theorem(strict_implies(necessarily(necessarily(X30)),necessarily(X30))) | is_a_theorem(strict_equiv(necessarily(necessarily(X30)),necessarily(X30)))) ) | (~spl94_61 | ~spl94_189)), 56.55/7.45 inference(resolution,[],[f2282,f793])). 56.55/7.45 fof(f793,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(strict_implies(necessarily(X1),necessarily(necessarily(X1))))) ) | ~spl94_61), 56.55/7.45 inference(avatar_component_clause,[],[f792])). 56.55/7.45 fof(f2420,plain,( 56.55/7.45 ~spl94_197 | spl94_161 | ~spl94_191), 56.55/7.45 inference(avatar_split_clause,[],[f2386,f2325,f1607,f2417])). 56.55/7.45 fof(f2417,plain,( 56.55/7.45 spl94_197 <=> is_a_theorem(not(not(not(sK6))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_197])])). 56.55/7.45 fof(f1607,plain,( 56.55/7.45 spl94_161 <=> is_a_theorem(not(or(sK6,sK6)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_161])])). 56.55/7.45 fof(f2386,plain,( 56.55/7.45 ~is_a_theorem(not(not(not(sK6)))) | (spl94_161 | ~spl94_191)), 56.55/7.45 inference(backward_demodulation,[],[f1609,f2352])). 56.55/7.45 fof(f1609,plain,( 56.55/7.45 ~is_a_theorem(not(or(sK6,sK6))) | spl94_161), 56.55/7.45 inference(avatar_component_clause,[],[f1607])). 56.55/7.45 fof(f2415,plain,( 56.55/7.45 ~spl94_196 | spl94_159 | ~spl94_191), 56.55/7.45 inference(avatar_split_clause,[],[f2385,f2325,f1555,f2412])). 56.55/7.45 fof(f2412,plain,( 56.55/7.45 spl94_196 <=> is_a_theorem(not(not(not(sK1))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_196])])). 56.55/7.45 fof(f1555,plain,( 56.55/7.45 spl94_159 <=> is_a_theorem(not(or(sK1,sK1)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_159])])). 56.55/7.45 fof(f2385,plain,( 56.55/7.45 ~is_a_theorem(not(not(not(sK1)))) | (spl94_159 | ~spl94_191)), 56.55/7.45 inference(backward_demodulation,[],[f1557,f2352])). 56.55/7.45 fof(f1557,plain,( 56.55/7.45 ~is_a_theorem(not(or(sK1,sK1))) | spl94_159), 56.55/7.45 inference(avatar_component_clause,[],[f1555])). 56.55/7.45 fof(f2410,plain,( 56.55/7.45 ~spl94_195 | spl94_193), 56.55/7.45 inference(avatar_split_clause,[],[f2404,f2393,f2407])). 56.55/7.45 fof(f2404,plain,( 56.55/7.45 ~is_a_theorem(not(sK6)) | spl94_193), 56.55/7.45 inference(resolution,[],[f2395,f869])). 56.55/7.45 fof(f2403,plain,( 56.55/7.45 ~spl94_194 | spl94_192), 56.55/7.45 inference(avatar_split_clause,[],[f2397,f2388,f2400])). 56.55/7.45 fof(f2397,plain,( 56.55/7.45 ~is_a_theorem(not(sK1)) | spl94_192), 56.55/7.45 inference(resolution,[],[f2390,f869])). 56.55/7.45 fof(f2396,plain,( 56.55/7.45 ~spl94_193 | spl94_93 | ~spl94_191), 56.55/7.45 inference(avatar_split_clause,[],[f2378,f2325,f989,f2393])). 56.55/7.45 fof(f989,plain,( 56.55/7.45 spl94_93 <=> is_a_theorem(implies(or(sK6,sK6),sK6))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_93])])). 56.55/7.45 fof(f2378,plain,( 56.55/7.45 ~is_a_theorem(or(not(sK6),sK6)) | (spl94_93 | ~spl94_191)), 56.55/7.45 inference(backward_demodulation,[],[f991,f2375])). 56.55/7.45 fof(f991,plain,( 56.55/7.45 ~is_a_theorem(implies(or(sK6,sK6),sK6)) | spl94_93), 56.55/7.45 inference(avatar_component_clause,[],[f989])). 56.55/7.45 fof(f2391,plain,( 56.55/7.45 ~spl94_192 | spl94_45 | ~spl94_191), 56.55/7.45 inference(avatar_split_clause,[],[f2377,f2325,f715,f2388])). 56.55/7.45 fof(f715,plain,( 56.55/7.45 spl94_45 <=> is_a_theorem(implies(or(sK1,sK1),sK1))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_45])])). 56.55/7.45 fof(f2377,plain,( 56.55/7.45 ~is_a_theorem(or(not(sK1),sK1)) | (spl94_45 | ~spl94_191)), 56.55/7.45 inference(backward_demodulation,[],[f717,f2375])). 56.55/7.45 fof(f717,plain,( 56.55/7.45 ~is_a_theorem(implies(or(sK1,sK1),sK1)) | spl94_45), 56.55/7.45 inference(avatar_component_clause,[],[f715])). 56.55/7.45 fof(f2327,plain,( 56.55/7.45 spl94_191 | ~spl94_75 | ~spl94_190), 56.55/7.45 inference(avatar_split_clause,[],[f2314,f2310,f853,f2325])). 56.55/7.45 fof(f2310,plain,( 56.55/7.45 spl94_190 <=> ! [X5] : is_a_theorem(strict_equiv(and(X5,X5),X5))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_190])])). 56.55/7.45 fof(f2314,plain,( 56.55/7.45 ( ! [X1] : (and(X1,X1) = X1) ) | (~spl94_75 | ~spl94_190)), 56.55/7.45 inference(resolution,[],[f2311,f854])). 56.55/7.45 fof(f2311,plain,( 56.55/7.45 ( ! [X5] : (is_a_theorem(strict_equiv(and(X5,X5),X5))) ) | ~spl94_190), 56.55/7.45 inference(avatar_component_clause,[],[f2310])). 56.55/7.45 fof(f2312,plain,( 56.55/7.45 spl94_190 | ~spl94_41 | ~spl94_189), 56.55/7.45 inference(avatar_split_clause,[],[f2303,f2281,f698,f2310])). 56.55/7.45 fof(f698,plain,( 56.55/7.45 spl94_41 <=> ! [X1] : is_a_theorem(strict_implies(X1,and(X1,X1)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_41])])). 56.55/7.45 fof(f2303,plain,( 56.55/7.45 ( ! [X5] : (is_a_theorem(strict_equiv(and(X5,X5),X5))) ) | (~spl94_41 | ~spl94_189)), 56.55/7.45 inference(subsumption_resolution,[],[f2287,f1084])). 56.55/7.45 fof(f2287,plain,( 56.55/7.45 ( ! [X5] : (~is_a_theorem(strict_implies(and(X5,X5),X5)) | is_a_theorem(strict_equiv(and(X5,X5),X5))) ) | (~spl94_41 | ~spl94_189)), 56.55/7.45 inference(resolution,[],[f2282,f699])). 56.55/7.45 fof(f699,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(strict_implies(X1,and(X1,X1)))) ) | ~spl94_41), 56.55/7.45 inference(avatar_component_clause,[],[f698])). 56.55/7.45 fof(f2283,plain,( 56.55/7.45 spl94_189 | ~spl94_83), 56.55/7.45 inference(avatar_split_clause,[],[f2264,f911,f2281])). 56.55/7.45 fof(f2264,plain,( 56.55/7.45 ( ! [X0,X1] : (is_a_theorem(strict_equiv(X0,X1)) | ~is_a_theorem(strict_implies(X0,X1)) | ~is_a_theorem(strict_implies(X1,X0))) ) | ~spl94_83), 56.55/7.45 inference(superposition,[],[f912,f469])). 56.55/7.45 fof(f2279,plain,( 56.55/7.45 ~spl94_187 | ~spl94_188 | ~spl94_83 | spl94_117), 56.55/7.45 inference(avatar_split_clause,[],[f2263,f1173,f911,f2276,f2272])). 56.55/7.45 fof(f2263,plain,( 56.55/7.45 ~is_a_theorem(sK71) | ~is_a_theorem(sK70) | (~spl94_83 | spl94_117)), 56.55/7.45 inference(resolution,[],[f912,f1175])). 56.55/7.45 fof(f2270,plain,( 56.55/7.45 ~spl94_30 | ~spl94_32 | ~spl94_83 | spl94_84), 56.55/7.45 inference(avatar_contradiction_clause,[],[f2269])). 56.55/7.45 fof(f2269,plain,( 56.55/7.45 $false | (~spl94_30 | ~spl94_32 | ~spl94_83 | spl94_84)), 56.55/7.45 inference(subsumption_resolution,[],[f2268,f659])). 56.55/7.45 fof(f659,plain,( 56.55/7.45 is_a_theorem(sK20) | ~spl94_32), 56.55/7.45 inference(avatar_component_clause,[],[f657])). 56.55/7.45 fof(f2268,plain,( 56.55/7.45 ~is_a_theorem(sK20) | (~spl94_30 | ~spl94_83 | spl94_84)), 56.55/7.45 inference(subsumption_resolution,[],[f2260,f650])). 56.55/7.45 fof(f650,plain,( 56.55/7.45 is_a_theorem(sK19) | ~spl94_30), 56.55/7.45 inference(avatar_component_clause,[],[f648])). 56.55/7.45 fof(f2260,plain,( 56.55/7.45 ~is_a_theorem(sK19) | ~is_a_theorem(sK20) | (~spl94_83 | spl94_84)), 56.55/7.45 inference(resolution,[],[f912,f917])). 56.55/7.45 fof(f2267,plain,( 56.55/7.45 ~spl94_30 | ~spl94_32 | ~spl94_83 | spl94_84), 56.55/7.45 inference(avatar_contradiction_clause,[],[f2256])). 56.55/7.45 fof(f2256,plain,( 56.55/7.45 $false | (~spl94_30 | ~spl94_32 | ~spl94_83 | spl94_84)), 56.55/7.45 inference(unit_resulting_resolution,[],[f659,f650,f917,f912])). 56.55/7.45 fof(f2255,plain,( 56.55/7.45 ~spl94_186 | spl94_115), 56.55/7.45 inference(avatar_split_clause,[],[f1716,f1162,f2252])). 56.55/7.45 fof(f1716,plain,( 56.55/7.45 ~is_a_theorem(not(and(and(sK21,sK22),sK23))) | spl94_115), 56.55/7.45 inference(resolution,[],[f1494,f1164])). 56.55/7.45 fof(f2250,plain,( 56.55/7.45 spl94_83), 56.55/7.45 inference(avatar_split_clause,[],[f1309,f911])). 56.55/7.45 fof(f1309,plain,( 56.55/7.45 ( ! [X2,X3] : (~is_a_theorem(X2) | is_a_theorem(and(X2,X3)) | ~is_a_theorem(X3)) )), 56.55/7.45 inference(resolution,[],[f872,f489])). 56.55/7.45 fof(f2249,plain,( 56.55/7.45 ~spl94_185 | spl94_125), 56.55/7.45 inference(avatar_split_clause,[],[f1501,f1212,f2246])). 56.55/7.45 fof(f1501,plain,( 56.55/7.45 ~is_a_theorem(not(or(sK27,or(sK28,sK29)))) | spl94_125), 56.55/7.45 inference(resolution,[],[f1479,f1214])). 56.55/7.45 fof(f2233,plain,( 56.55/7.45 ~spl94_184 | spl94_130), 56.55/7.45 inference(avatar_split_clause,[],[f1253,f1240,f2230])). 56.55/7.45 fof(f1253,plain,( 56.55/7.45 ~is_a_theorem(implies(or(sK82,sK83),or(sK82,sK84))) | spl94_130), 56.55/7.45 inference(resolution,[],[f1242,f871])). 56.55/7.45 fof(f2225,plain,( 56.55/7.45 spl94_183 | ~spl94_182), 56.55/7.45 inference(avatar_split_clause,[],[f2221,f2218,f2223])). 56.55/7.45 fof(f2223,plain,( 56.55/7.45 spl94_183 <=> ! [X10] : is_a_theorem(equiv(X10,X10))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_183])])). 56.55/7.45 fof(f2218,plain,( 56.55/7.45 spl94_182 <=> ! [X10] : (is_a_theorem(equiv(X10,X10)) | ~is_a_theorem(implies(X10,X10)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_182])])). 56.55/7.45 fof(f2221,plain,( 56.55/7.45 ( ! [X10] : (is_a_theorem(equiv(X10,X10))) ) | ~spl94_182), 56.55/7.45 inference(subsumption_resolution,[],[f2219,f1559])). 56.55/7.45 fof(f2219,plain,( 56.55/7.45 ( ! [X10] : (is_a_theorem(equiv(X10,X10)) | ~is_a_theorem(implies(X10,X10))) ) | ~spl94_182), 56.55/7.45 inference(avatar_component_clause,[],[f2218])). 56.55/7.45 fof(f2220,plain,( 56.55/7.45 spl94_182 | ~spl94_105), 56.55/7.45 inference(avatar_split_clause,[],[f1111,f1061,f2218])). 56.55/7.45 fof(f1061,plain,( 56.55/7.45 spl94_105 <=> ! [X0] : (is_a_theorem(and(X0,X0)) | ~is_a_theorem(X0))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_105])])). 56.55/7.45 fof(f1111,plain,( 56.55/7.45 ( ! [X10] : (is_a_theorem(equiv(X10,X10)) | ~is_a_theorem(implies(X10,X10))) ) | ~spl94_105), 56.55/7.45 inference(superposition,[],[f1062,f472])). 56.55/7.45 fof(f1062,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(and(X0,X0)) | ~is_a_theorem(X0)) ) | ~spl94_105), 56.55/7.45 inference(avatar_component_clause,[],[f1061])). 56.55/7.45 fof(f2216,plain,( 56.55/7.45 spl94_180 | spl94_181), 56.55/7.45 inference(avatar_split_clause,[],[f1495,f2214,f2211])). 56.55/7.45 fof(f1495,plain,( 56.55/7.45 ( ! [X2,X3] : (~is_a_theorem(not(X2)) | is_a_theorem(X3) | ~is_a_theorem(X2)) )), 56.55/7.45 inference(resolution,[],[f1479,f489])). 56.55/7.45 fof(f2201,plain,( 56.55/7.45 ~spl94_179 | spl94_74), 56.55/7.45 inference(avatar_split_clause,[],[f1722,f848,f2198])). 56.55/7.45 fof(f1722,plain,( 56.55/7.45 ~is_a_theorem(not(possibly(and(sK9,sK10)))) | spl94_74), 56.55/7.45 inference(resolution,[],[f1494,f850])). 56.55/7.45 fof(f2187,plain,( 56.55/7.45 spl94_178 | ~spl94_177), 56.55/7.45 inference(avatar_split_clause,[],[f2183,f2180,f2185])). 56.55/7.45 fof(f2185,plain,( 56.55/7.45 spl94_178 <=> ! [X0] : is_a_theorem(strict_equiv(X0,X0))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_178])])). 56.55/7.45 fof(f2180,plain,( 56.55/7.45 spl94_177 <=> ! [X0] : (is_a_theorem(strict_equiv(X0,X0)) | ~is_a_theorem(strict_implies(X0,X0)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_177])])). 56.55/7.45 fof(f2183,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(strict_equiv(X0,X0))) ) | ~spl94_177), 56.55/7.45 inference(subsumption_resolution,[],[f2181,f1571])). 56.55/7.45 fof(f2181,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(strict_equiv(X0,X0)) | ~is_a_theorem(strict_implies(X0,X0))) ) | ~spl94_177), 56.55/7.45 inference(avatar_component_clause,[],[f2180])). 56.55/7.45 fof(f2182,plain,( 56.55/7.45 spl94_177 | ~spl94_105), 56.55/7.45 inference(avatar_split_clause,[],[f1073,f1061,f2180])). 56.55/7.45 fof(f1073,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(strict_equiv(X0,X0)) | ~is_a_theorem(strict_implies(X0,X0))) ) | ~spl94_105), 56.55/7.45 inference(superposition,[],[f1062,f469])). 56.55/7.45 fof(f2178,plain,( 56.55/7.45 ~spl94_176 | spl94_109), 56.55/7.45 inference(avatar_split_clause,[],[f1718,f1127,f2175])). 56.55/7.45 fof(f1718,plain,( 56.55/7.45 ~is_a_theorem(not(possibly(and(sK15,sK16)))) | spl94_109), 56.55/7.45 inference(resolution,[],[f1494,f1129])). 56.55/7.45 fof(f2173,plain,( 56.55/7.45 ~spl94_175 | spl94_172), 56.55/7.45 inference(avatar_split_clause,[],[f2155,f2151,f2170])). 56.55/7.45 fof(f2155,plain,( 56.55/7.45 ~is_a_theorem(not(sK18)) | spl94_172), 56.55/7.45 inference(resolution,[],[f2152,f1494])). 56.55/7.45 fof(f2168,plain,( 56.55/7.45 ~spl94_174 | spl94_35 | ~spl94_75), 56.55/7.45 inference(avatar_split_clause,[],[f2158,f853,f671,f2165])). 56.55/7.45 fof(f2158,plain,( 56.55/7.45 ~is_a_theorem(strict_equiv(sK18,sK17)) | (spl94_35 | ~spl94_75)), 56.55/7.45 inference(extensionality_resolution,[],[f854,f673])). 56.55/7.45 fof(f2163,plain,( 56.55/7.45 ~spl94_173 | spl94_172), 56.55/7.45 inference(avatar_split_clause,[],[f2156,f2151,f2160])). 56.55/7.45 fof(f2156,plain,( 56.55/7.45 ~is_a_theorem(sK17) | spl94_172), 56.55/7.45 inference(resolution,[],[f2152,f1077])). 56.55/7.45 fof(f2154,plain,( 56.55/7.45 spl94_172 | ~spl94_37), 56.55/7.45 inference(avatar_split_clause,[],[f2149,f680,f2151])). 56.55/7.45 fof(f2149,plain,( 56.55/7.45 is_a_theorem(strict_implies(sK18,sK17)) | ~spl94_37), 56.55/7.45 inference(resolution,[],[f1064,f682])). 56.55/7.45 fof(f1064,plain,( 56.55/7.45 ( ! [X0,X1] : (~is_a_theorem(strict_equiv(X0,X1)) | is_a_theorem(strict_implies(X1,X0))) )), 56.55/7.45 inference(superposition,[],[f874,f469])). 56.55/7.45 fof(f874,plain,( 56.55/7.45 ( ! [X11,X12] : (~is_a_theorem(and(X12,X11)) | is_a_theorem(X11)) )), 56.55/7.45 inference(resolution,[],[f489,f494])). 56.55/7.45 fof(f2133,plain,( 56.55/7.45 ~spl94_171 | spl94_127), 56.55/7.45 inference(avatar_split_clause,[],[f1724,f1224,f2130])). 56.55/7.45 fof(f1724,plain,( 56.55/7.45 ~is_a_theorem(not(strict_implies(sK78,sK79))) | spl94_127), 56.55/7.45 inference(resolution,[],[f1494,f1226])). 56.55/7.45 fof(f2079,plain,( 56.55/7.45 ~spl94_170 | spl94_104), 56.55/7.45 inference(avatar_split_clause,[],[f1723,f1056,f2076])). 56.55/7.45 fof(f1723,plain,( 56.55/7.45 ~is_a_theorem(not(strict_implies(sK13,sK14))) | spl94_104), 56.55/7.45 inference(resolution,[],[f1494,f1058])). 56.55/7.45 fof(f2060,plain,( 56.55/7.45 ~spl94_169 | spl94_65), 56.55/7.45 inference(avatar_split_clause,[],[f1719,f809,f2057])). 56.55/7.45 fof(f1719,plain,( 56.55/7.45 ~is_a_theorem(not(possibly(possibly(sK4)))) | spl94_65), 56.55/7.45 inference(resolution,[],[f1494,f811])). 56.55/7.45 fof(f2018,plain,( 56.55/7.45 ~spl94_168 | spl94_52), 56.55/7.45 inference(avatar_split_clause,[],[f1715,f752,f2015])). 56.55/7.45 fof(f1715,plain,( 56.55/7.45 ~is_a_theorem(not(and(sK70,sK71))) | spl94_52), 56.55/7.45 inference(resolution,[],[f1494,f754])). 56.55/7.45 fof(f1862,plain,( 56.55/7.45 ~spl94_167 | spl94_59), 56.55/7.45 inference(avatar_split_clause,[],[f1721,f783,f1859])). 56.55/7.45 fof(f1721,plain,( 56.55/7.45 ~is_a_theorem(not(possibly(sK2))) | spl94_59), 56.55/7.45 inference(resolution,[],[f1494,f785])). 56.55/7.45 fof(f1853,plain,( 56.55/7.45 ~spl94_166 | spl94_149), 56.55/7.45 inference(avatar_split_clause,[],[f1720,f1401,f1850])). 56.55/7.45 fof(f1720,plain,( 56.55/7.45 ~is_a_theorem(not(possibly(sK13))) | spl94_149), 56.55/7.45 inference(resolution,[],[f1494,f1403])). 56.55/7.45 fof(f1781,plain,( 56.55/7.45 ~spl94_165 | spl94_90), 56.55/7.45 inference(avatar_split_clause,[],[f1728,f944,f1778])). 56.55/7.45 fof(f1728,plain,( 56.55/7.45 ~is_a_theorem(not(sK80)) | spl94_90), 56.55/7.45 inference(resolution,[],[f1494,f945])). 56.55/7.45 fof(f1752,plain,( 56.55/7.45 ~spl94_164 | spl94_38), 56.55/7.45 inference(avatar_split_clause,[],[f1727,f685,f1749])). 56.55/7.45 fof(f1727,plain,( 56.55/7.45 ~is_a_theorem(not(sK56)) | spl94_38), 56.55/7.45 inference(resolution,[],[f1494,f687])). 56.55/7.45 fof(f1747,plain,( 56.55/7.45 ~spl94_163 | spl94_137), 56.55/7.45 inference(avatar_split_clause,[],[f1726,f1282,f1744])). 56.55/7.45 fof(f1726,plain,( 56.55/7.45 ~is_a_theorem(not(sK33)) | spl94_137), 56.55/7.45 inference(resolution,[],[f1494,f1284])). 56.55/7.45 fof(f1736,plain,( 56.55/7.45 ~spl94_162 | spl94_129), 56.55/7.45 inference(avatar_split_clause,[],[f1725,f1233,f1733])). 56.55/7.45 fof(f1725,plain,( 56.55/7.45 ~is_a_theorem(not(sK24)) | spl94_129), 56.55/7.45 inference(resolution,[],[f1494,f1235])). 56.55/7.45 fof(f1610,plain,( 56.55/7.45 ~spl94_161 | spl94_93), 56.55/7.45 inference(avatar_split_clause,[],[f1502,f989,f1607])). 56.55/7.45 fof(f1502,plain,( 56.55/7.45 ~is_a_theorem(not(or(sK6,sK6))) | spl94_93), 56.55/7.45 inference(resolution,[],[f1479,f991])). 56.55/7.45 fof(f1583,plain,( 56.55/7.45 ~spl94_160 | spl94_82), 56.55/7.45 inference(avatar_split_clause,[],[f1500,f898,f1580])). 56.55/7.45 fof(f1500,plain,( 56.55/7.45 ~is_a_theorem(not(or(sK11,sK12))) | spl94_82), 56.55/7.45 inference(resolution,[],[f1479,f900])). 56.55/7.45 fof(f1558,plain,( 56.55/7.45 ~spl94_159 | spl94_45), 56.55/7.45 inference(avatar_split_clause,[],[f1499,f715,f1555])). 56.55/7.45 fof(f1499,plain,( 56.55/7.45 ~is_a_theorem(not(or(sK1,sK1))) | spl94_45), 56.55/7.45 inference(resolution,[],[f1479,f717])). 56.55/7.45 fof(f1527,plain,( 56.55/7.45 ~spl94_158 | spl94_140), 56.55/7.45 inference(avatar_split_clause,[],[f1498,f1299,f1524])). 56.55/7.45 fof(f1524,plain,( 56.55/7.45 spl94_158 <=> is_a_theorem(not(implies(sK30,sK31)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_158])])). 56.55/7.45 fof(f1498,plain,( 56.55/7.45 ~is_a_theorem(not(implies(sK30,sK31))) | spl94_140), 56.55/7.45 inference(resolution,[],[f1479,f1301])). 56.55/7.45 fof(f1522,plain,( 56.55/7.45 ~spl94_157 | spl94_130), 56.55/7.45 inference(avatar_split_clause,[],[f1497,f1240,f1519])). 56.55/7.45 fof(f1519,plain,( 56.55/7.45 spl94_157 <=> is_a_theorem(not(implies(sK83,sK84)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_157])])). 56.55/7.45 fof(f1497,plain,( 56.55/7.45 ~is_a_theorem(not(implies(sK83,sK84))) | spl94_130), 56.55/7.45 inference(resolution,[],[f1479,f1242])). 56.55/7.45 fof(f1509,plain,( 56.55/7.45 ~spl94_156 | spl94_68), 56.55/7.45 inference(avatar_split_clause,[],[f1503,f822,f1506])). 56.55/7.45 fof(f1503,plain,( 56.55/7.45 ~is_a_theorem(not(possibly(sK5))) | spl94_68), 56.55/7.45 inference(resolution,[],[f1479,f824])). 56.55/7.45 fof(f1493,plain,( 56.55/7.45 spl94_155 | ~spl94_61), 56.55/7.45 inference(avatar_split_clause,[],[f1453,f792,f1491])). 56.55/7.45 fof(f1491,plain,( 56.55/7.45 spl94_155 <=> ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),necessarily(strict_implies(X0,X1))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_155])])). 56.55/7.45 fof(f1453,plain,( 56.55/7.45 ( ! [X0,X1] : (is_a_theorem(strict_implies(strict_implies(X0,X1),necessarily(strict_implies(X0,X1))))) ) | ~spl94_61), 56.55/7.45 inference(superposition,[],[f793,f467])). 56.55/7.45 fof(f1451,plain,( 56.55/7.45 spl94_61), 56.55/7.45 inference(avatar_split_clause,[],[f1092,f792])). 56.55/7.45 fof(f1092,plain,( 56.55/7.45 ( ! [X27] : (is_a_theorem(strict_implies(necessarily(X27),necessarily(necessarily(X27))))) )), 56.55/7.45 inference(resolution,[],[f866,f480])). 56.55/7.45 fof(f480,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(implies(necessarily(X1),necessarily(necessarily(X1))))) )), 56.55/7.45 inference(subsumption_resolution,[],[f403,f325])). 56.55/7.45 fof(f325,plain,( 56.55/7.45 axiom_4), 56.55/7.45 inference(cnf_transformation,[],[f78])). 56.55/7.45 fof(f78,axiom,( 56.55/7.45 axiom_4), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',km4b_axiom_4)). 56.55/7.45 fof(f403,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(implies(necessarily(X1),necessarily(necessarily(X1)))) | ~axiom_4) )), 56.55/7.45 inference(cnf_transformation,[],[f207])). 56.55/7.45 fof(f207,plain,( 56.55/7.45 (axiom_4 | ~is_a_theorem(implies(necessarily(sK37),necessarily(necessarily(sK37))))) & (! [X1] : is_a_theorem(implies(necessarily(X1),necessarily(necessarily(X1)))) | ~axiom_4)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f205,f206])). 56.55/7.45 fof(f206,plain,( 56.55/7.45 ? [X0] : ~is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) => ~is_a_theorem(implies(necessarily(sK37),necessarily(necessarily(sK37))))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f205,plain,( 56.55/7.45 (axiom_4 | ? [X0] : ~is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))) & (! [X1] : is_a_theorem(implies(necessarily(X1),necessarily(necessarily(X1)))) | ~axiom_4)), 56.55/7.45 inference(rectify,[],[f204])). 56.55/7.45 fof(f204,plain,( 56.55/7.45 (axiom_4 | ? [X0] : ~is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))) & (! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) | ~axiom_4)), 56.55/7.45 inference(nnf_transformation,[],[f57])). 56.55/7.45 fof(f57,axiom,( 56.55/7.45 axiom_4 <=> ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4)). 56.55/7.45 fof(f1436,plain,( 56.55/7.45 ~spl94_154 | spl94_153), 56.55/7.45 inference(avatar_split_clause,[],[f1430,f1423,f1433])). 56.55/7.45 fof(f1430,plain,( 56.55/7.45 ~is_a_theorem(sK14) | spl94_153), 56.55/7.45 inference(resolution,[],[f1425,f902])). 56.55/7.45 fof(f1426,plain,( 56.55/7.45 ~spl94_153 | spl94_149), 56.55/7.45 inference(avatar_split_clause,[],[f1421,f1401,f1423])). 56.55/7.45 fof(f1421,plain,( 56.55/7.45 ~is_a_theorem(possibly(sK14)) | spl94_149), 56.55/7.45 inference(resolution,[],[f1403,f1077])). 56.55/7.45 fof(f1418,plain,( 56.55/7.45 ~spl94_152 | spl94_115), 56.55/7.45 inference(avatar_split_clause,[],[f1171,f1162,f1415])). 56.55/7.45 fof(f1171,plain,( 56.55/7.45 ~is_a_theorem(and(sK21,and(sK22,sK23))) | spl94_115), 56.55/7.45 inference(resolution,[],[f1164,f1077])). 56.55/7.45 fof(f1413,plain,( 56.55/7.45 spl94_151 | ~spl94_41), 56.55/7.45 inference(avatar_split_clause,[],[f1268,f698,f1411])). 56.55/7.45 fof(f1411,plain,( 56.55/7.45 spl94_151 <=> ! [X1] : is_a_theorem(strict_implies(implies(X1,X1),equiv(X1,X1)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_151])])). 56.55/7.45 fof(f1268,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(strict_implies(implies(X1,X1),equiv(X1,X1)))) ) | ~spl94_41), 56.55/7.45 inference(superposition,[],[f699,f472])). 56.55/7.45 fof(f1409,plain,( 56.55/7.45 ~spl94_150 | spl94_109), 56.55/7.45 inference(avatar_split_clause,[],[f1136,f1127,f1406])). 56.55/7.45 fof(f1136,plain,( 56.55/7.45 ~is_a_theorem(and(possibly(sK15),possibly(sK16))) | spl94_109), 56.55/7.45 inference(resolution,[],[f1129,f1077])). 56.55/7.45 fof(f1404,plain,( 56.55/7.45 ~spl94_149 | spl94_104), 56.55/7.45 inference(avatar_split_clause,[],[f1103,f1056,f1401])). 56.55/7.45 fof(f1103,plain,( 56.55/7.45 ~is_a_theorem(strict_implies(possibly(sK13),possibly(sK14))) | spl94_104), 56.55/7.45 inference(resolution,[],[f1077,f1058])). 56.55/7.45 fof(f1399,plain,( 56.55/7.45 spl94_148 | ~spl94_41), 56.55/7.45 inference(avatar_split_clause,[],[f1267,f698,f1397])). 56.55/7.45 fof(f1397,plain,( 56.55/7.45 spl94_148 <=> ! [X0] : is_a_theorem(strict_implies(strict_implies(X0,X0),strict_equiv(X0,X0)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_148])])). 56.55/7.45 fof(f1267,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(strict_implies(strict_implies(X0,X0),strict_equiv(X0,X0)))) ) | ~spl94_41), 56.55/7.45 inference(superposition,[],[f699,f469])). 56.55/7.45 fof(f1395,plain,( 56.55/7.45 spl94_147 | ~spl94_97), 56.55/7.45 inference(avatar_split_clause,[],[f1112,f1021,f1393])). 56.55/7.45 fof(f1393,plain,( 56.55/7.45 spl94_147 <=> ! [X11] : is_a_theorem(implies(implies(X11,X11),equiv(X11,X11)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_147])])). 56.55/7.45 fof(f1021,plain,( 56.55/7.45 spl94_97 <=> ! [X0] : is_a_theorem(implies(X0,and(X0,X0)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_97])])). 56.55/7.45 fof(f1112,plain,( 56.55/7.45 ( ! [X11] : (is_a_theorem(implies(implies(X11,X11),equiv(X11,X11)))) ) | ~spl94_97), 56.55/7.45 inference(superposition,[],[f1022,f472])). 56.55/7.45 fof(f1022,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(implies(X0,and(X0,X0)))) ) | ~spl94_97), 56.55/7.45 inference(avatar_component_clause,[],[f1021])). 56.55/7.45 fof(f1391,plain,( 56.55/7.45 ~spl94_146 | spl94_143), 56.55/7.45 inference(avatar_split_clause,[],[f1375,f1370,f1388])). 56.55/7.45 fof(f1375,plain,( 56.55/7.45 ~is_a_theorem(sK29) | spl94_143), 56.55/7.45 inference(resolution,[],[f1372,f868])). 56.55/7.45 fof(f1386,plain,( 56.55/7.45 spl94_145 | ~spl94_97), 56.55/7.45 inference(avatar_split_clause,[],[f1069,f1021,f1384])). 56.55/7.45 fof(f1384,plain,( 56.55/7.45 spl94_145 <=> ! [X10] : is_a_theorem(implies(strict_implies(X10,X10),strict_equiv(X10,X10)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_145])])). 56.55/7.45 fof(f1069,plain,( 56.55/7.45 ( ! [X10] : (is_a_theorem(implies(strict_implies(X10,X10),strict_equiv(X10,X10)))) ) | ~spl94_97), 56.55/7.45 inference(superposition,[],[f1022,f469])). 56.55/7.45 fof(f1382,plain,( 56.55/7.45 ~spl94_144 | spl94_143), 56.55/7.45 inference(avatar_split_clause,[],[f1374,f1370,f1379])). 56.55/7.45 fof(f1374,plain,( 56.55/7.45 ~is_a_theorem(sK27) | spl94_143), 56.55/7.45 inference(resolution,[],[f1372,f869])). 56.55/7.45 fof(f1373,plain,( 56.55/7.45 ~spl94_143 | spl94_141), 56.55/7.45 inference(avatar_split_clause,[],[f1324,f1319,f1370])). 56.55/7.45 fof(f1324,plain,( 56.55/7.45 ~is_a_theorem(or(sK27,sK29)) | spl94_141), 56.55/7.45 inference(resolution,[],[f1321,f868])). 56.55/7.45 fof(f1329,plain,( 56.55/7.45 ~spl94_142 | spl94_141), 56.55/7.45 inference(avatar_split_clause,[],[f1323,f1319,f1326])). 56.55/7.45 fof(f1323,plain,( 56.55/7.45 ~is_a_theorem(sK28) | spl94_141), 56.55/7.45 inference(resolution,[],[f1321,f869])). 56.55/7.45 fof(f1322,plain,( 56.55/7.45 ~spl94_141 | spl94_125), 56.55/7.45 inference(avatar_split_clause,[],[f1221,f1212,f1319])). 56.55/7.45 fof(f1221,plain,( 56.55/7.45 ~is_a_theorem(or(sK28,or(sK27,sK29))) | spl94_125), 56.55/7.45 inference(resolution,[],[f1214,f871])). 56.55/7.45 fof(f1302,plain,( 56.55/7.45 spl94_139 | ~spl94_140), 56.55/7.45 inference(avatar_split_clause,[],[f977,f1299,f1295])). 56.55/7.45 fof(f1295,plain,( 56.55/7.45 spl94_139 <=> kn3), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_139])])). 56.55/7.45 fof(f977,plain,( 56.55/7.45 ~is_a_theorem(implies(implies(sK30,sK31),or(and(sK31,sK32),not(and(sK32,sK30))))) | kn3), 56.55/7.45 inference(backward_demodulation,[],[f398,f970])). 56.55/7.45 fof(f398,plain,( 56.55/7.45 kn3 | ~is_a_theorem(implies(implies(sK30,sK31),implies(not(and(sK31,sK32)),not(and(sK32,sK30)))))), 56.55/7.45 inference(cnf_transformation,[],[f195])). 56.55/7.45 fof(f195,plain,( 56.55/7.45 (kn3 | ~is_a_theorem(implies(implies(sK30,sK31),implies(not(and(sK31,sK32)),not(and(sK32,sK30)))))) & (! [X3,X4,X5] : is_a_theorem(implies(implies(X3,X4),implies(not(and(X4,X5)),not(and(X5,X3))))) | ~kn3)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32])],[f193,f194])). 56.55/7.45 fof(f194,plain,( 56.55/7.45 ? [X0,X1,X2] : ~is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) => ~is_a_theorem(implies(implies(sK30,sK31),implies(not(and(sK31,sK32)),not(and(sK32,sK30)))))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f193,plain,( 56.55/7.45 (kn3 | ? [X0,X1,X2] : ~is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))) & (! [X3,X4,X5] : is_a_theorem(implies(implies(X3,X4),implies(not(and(X4,X5)),not(and(X5,X3))))) | ~kn3)), 56.55/7.45 inference(rectify,[],[f192])). 56.55/7.45 fof(f192,plain,( 56.55/7.45 (kn3 | ? [X0,X1,X2] : ~is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))) & (! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) | ~kn3)), 56.55/7.45 inference(nnf_transformation,[],[f100])). 56.55/7.45 fof(f100,plain,( 56.55/7.45 kn3 <=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))), 56.55/7.45 inference(rectify,[],[f8])). 56.55/7.45 fof(f8,axiom,( 56.55/7.45 kn3 <=> ! [X3,X4,X5] : is_a_theorem(implies(implies(X3,X4),implies(not(and(X4,X5)),not(and(X5,X3)))))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',kn3)). 56.55/7.45 fof(f1293,plain,( 56.55/7.45 ~spl94_138 | spl94_137), 56.55/7.45 inference(avatar_split_clause,[],[f1288,f1282,f1290])). 56.55/7.45 fof(f1288,plain,( 56.55/7.45 ~is_a_theorem(sK35) | spl94_137), 56.55/7.45 inference(resolution,[],[f1284,f1077])). 56.55/7.45 fof(f1285,plain,( 56.55/7.45 ~spl94_137 | spl94_136), 56.55/7.45 inference(avatar_split_clause,[],[f1280,f1275,f1282])). 56.55/7.45 fof(f1280,plain,( 56.55/7.45 ~is_a_theorem(strict_implies(sK33,sK35)) | spl94_136), 56.55/7.45 inference(resolution,[],[f1277,f871])). 56.55/7.45 fof(f1278,plain,( 56.55/7.45 spl94_135 | ~spl94_136), 56.55/7.45 inference(avatar_split_clause,[],[f475,f1275,f1271])). 56.55/7.45 fof(f1271,plain,( 56.55/7.45 spl94_135 <=> axiom_s1), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_135])])). 56.55/7.45 fof(f475,plain,( 56.55/7.45 ~is_a_theorem(implies(and(strict_implies(sK33,sK34),strict_implies(sK34,sK35)),strict_implies(sK33,sK35))) | axiom_s1), 56.55/7.45 inference(forward_demodulation,[],[f474,f467])). 56.55/7.45 fof(f474,plain,( 56.55/7.45 ~is_a_theorem(implies(and(necessarily(implies(sK33,sK34)),strict_implies(sK34,sK35)),strict_implies(sK33,sK35))) | axiom_s1), 56.55/7.45 inference(forward_demodulation,[],[f473,f467])). 56.55/7.45 fof(f473,plain,( 56.55/7.45 ~is_a_theorem(implies(and(necessarily(implies(sK33,sK34)),necessarily(implies(sK34,sK35))),strict_implies(sK33,sK35))) | axiom_s1), 56.55/7.45 inference(forward_demodulation,[],[f400,f467])). 56.55/7.45 fof(f400,plain,( 56.55/7.45 axiom_s1 | ~is_a_theorem(implies(and(necessarily(implies(sK33,sK34)),necessarily(implies(sK34,sK35))),necessarily(implies(sK33,sK35))))), 56.55/7.45 inference(cnf_transformation,[],[f199])). 56.55/7.45 fof(f199,plain,( 56.55/7.45 (axiom_s1 | ~is_a_theorem(implies(and(necessarily(implies(sK33,sK34)),necessarily(implies(sK34,sK35))),necessarily(implies(sK33,sK35))))) & (! [X3,X4,X5] : is_a_theorem(implies(and(necessarily(implies(X3,X4)),necessarily(implies(X4,X5))),necessarily(implies(X3,X5)))) | ~axiom_s1)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34,sK35])],[f197,f198])). 56.55/7.45 fof(f198,plain,( 56.55/7.45 ? [X0,X1,X2] : ~is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2)))) => ~is_a_theorem(implies(and(necessarily(implies(sK33,sK34)),necessarily(implies(sK34,sK35))),necessarily(implies(sK33,sK35))))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f197,plain,( 56.55/7.45 (axiom_s1 | ? [X0,X1,X2] : ~is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2))))) & (! [X3,X4,X5] : is_a_theorem(implies(and(necessarily(implies(X3,X4)),necessarily(implies(X4,X5))),necessarily(implies(X3,X5)))) | ~axiom_s1)), 56.55/7.45 inference(rectify,[],[f196])). 56.55/7.45 fof(f196,plain,( 56.55/7.45 (axiom_s1 | ? [X0,X1,X2] : ~is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2))))) & (! [X0,X1,X2] : is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2)))) | ~axiom_s1)), 56.55/7.45 inference(nnf_transformation,[],[f70])). 56.55/7.45 fof(f70,axiom,( 56.55/7.45 axiom_s1 <=> ! [X0,X1,X2] : is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2))))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_s1)). 56.55/7.45 fof(f1265,plain,( 56.55/7.45 spl94_41 | ~spl94_97), 56.55/7.45 inference(avatar_split_clause,[],[f1078,f1021,f698])). 56.55/7.45 fof(f1078,plain,( 56.55/7.45 ( ! [X2] : (is_a_theorem(strict_implies(X2,and(X2,X2)))) ) | ~spl94_97), 56.55/7.45 inference(resolution,[],[f866,f1022])). 56.55/7.45 fof(f1264,plain,( 56.55/7.45 spl94_133), 56.55/7.45 inference(avatar_contradiction_clause,[],[f1263])). 56.55/7.45 fof(f1263,plain,( 56.55/7.45 $false | spl94_133), 56.55/7.45 inference(subsumption_resolution,[],[f1257,f500])). 56.55/7.45 fof(f1257,plain,( 56.55/7.45 ~is_a_theorem(implies(implies(sK85,sK86),implies(implies(sK86,sK87),implies(sK85,sK87)))) | spl94_133), 56.55/7.45 inference(avatar_component_clause,[],[f1255])). 56.55/7.45 fof(f1255,plain,( 56.55/7.45 spl94_133 <=> is_a_theorem(implies(implies(sK85,sK86),implies(implies(sK86,sK87),implies(sK85,sK87))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_133])])). 56.55/7.45 fof(f1262,plain,( 56.55/7.45 ~spl94_133 | spl94_134), 56.55/7.45 inference(avatar_split_clause,[],[f461,f1259,f1255])). 56.55/7.45 fof(f1259,plain,( 56.55/7.45 spl94_134 <=> cn1), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_134])])). 56.55/7.45 fof(f461,plain,( 56.55/7.45 cn1 | ~is_a_theorem(implies(implies(sK85,sK86),implies(implies(sK86,sK87),implies(sK85,sK87))))), 56.55/7.45 inference(cnf_transformation,[],[f311])). 56.55/7.45 fof(f311,plain,( 56.55/7.45 (! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) | ~cn1) & (cn1 | ~is_a_theorem(implies(implies(sK85,sK86),implies(implies(sK86,sK87),implies(sK85,sK87)))))), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK85,sK86,sK87])],[f309,f310])). 56.55/7.45 fof(f310,plain,( 56.55/7.45 ? [X3,X4,X5] : ~is_a_theorem(implies(implies(X3,X4),implies(implies(X4,X5),implies(X3,X5)))) => ~is_a_theorem(implies(implies(sK85,sK86),implies(implies(sK86,sK87),implies(sK85,sK87))))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f309,plain,( 56.55/7.45 (! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) | ~cn1) & (cn1 | ? [X3,X4,X5] : ~is_a_theorem(implies(implies(X3,X4),implies(implies(X4,X5),implies(X3,X5)))))), 56.55/7.45 inference(rectify,[],[f308])). 56.55/7.45 fof(f308,plain,( 56.55/7.45 (! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) | ~cn1) & (cn1 | ? [X0,X1,X2] : ~is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))), 56.55/7.45 inference(nnf_transformation,[],[f105])). 56.55/7.45 fof(f105,plain,( 56.55/7.45 ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) <=> cn1), 56.55/7.45 inference(rectify,[],[f11])). 56.55/7.45 fof(f11,axiom,( 56.55/7.45 ! [X3,X4,X5] : is_a_theorem(implies(implies(X3,X4),implies(implies(X4,X5),implies(X3,X5)))) <=> cn1), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn1)). 56.55/7.45 fof(f1252,plain,( 56.55/7.45 ~spl94_132 | spl94_129), 56.55/7.45 inference(avatar_split_clause,[],[f1238,f1233,f1249])). 56.55/7.45 fof(f1238,plain,( 56.55/7.45 ~is_a_theorem(sK26) | spl94_129), 56.55/7.45 inference(resolution,[],[f1235,f1077])). 56.55/7.45 fof(f1247,plain,( 56.55/7.45 ~spl94_130 | spl94_131), 56.55/7.45 inference(avatar_split_clause,[],[f459,f1244,f1240])). 56.55/7.45 fof(f1244,plain,( 56.55/7.45 spl94_131 <=> r5), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_131])])). 56.55/7.45 fof(f459,plain,( 56.55/7.45 r5 | ~is_a_theorem(implies(implies(sK83,sK84),implies(or(sK82,sK83),or(sK82,sK84))))), 56.55/7.45 inference(cnf_transformation,[],[f307])). 56.55/7.45 fof(f307,plain,( 56.55/7.45 (! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) | ~r5) & (r5 | ~is_a_theorem(implies(implies(sK83,sK84),implies(or(sK82,sK83),or(sK82,sK84)))))), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK82,sK83,sK84])],[f305,f306])). 56.55/7.45 fof(f306,plain,( 56.55/7.45 ? [X3,X4,X5] : ~is_a_theorem(implies(implies(X4,X5),implies(or(X3,X4),or(X3,X5)))) => ~is_a_theorem(implies(implies(sK83,sK84),implies(or(sK82,sK83),or(sK82,sK84))))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f305,plain,( 56.55/7.45 (! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) | ~r5) & (r5 | ? [X3,X4,X5] : ~is_a_theorem(implies(implies(X4,X5),implies(or(X3,X4),or(X3,X5)))))), 56.55/7.45 inference(rectify,[],[f304])). 56.55/7.45 fof(f304,plain,( 56.55/7.45 (! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) | ~r5) & (r5 | ? [X0,X1,X2] : ~is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))))), 56.55/7.45 inference(nnf_transformation,[],[f104])). 56.55/7.45 fof(f104,plain,( 56.55/7.45 ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) <=> r5), 56.55/7.45 inference(rectify,[],[f14])). 56.55/7.45 fof(f14,axiom,( 56.55/7.45 ! [X3,X4,X5] : is_a_theorem(implies(implies(X4,X5),implies(or(X3,X4),or(X3,X5)))) <=> r5), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',r5)). 56.55/7.45 fof(f1236,plain,( 56.55/7.45 ~spl94_129 | spl94_120), 56.55/7.45 inference(avatar_split_clause,[],[f1195,f1186,f1233])). 56.55/7.45 fof(f1195,plain,( 56.55/7.45 ~is_a_theorem(strict_implies(sK24,sK26)) | spl94_120), 56.55/7.45 inference(resolution,[],[f1188,f1077])). 56.55/7.45 fof(f1231,plain,( 56.55/7.45 ~spl94_127 | spl94_128), 56.55/7.45 inference(avatar_split_clause,[],[f453,f1228,f1224])). 56.55/7.45 fof(f1228,plain,( 56.55/7.45 spl94_128 <=> axiom_s3), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_128])])). 56.55/7.45 fof(f453,plain,( 56.55/7.45 axiom_s3 | ~is_a_theorem(strict_implies(strict_implies(sK78,sK79),strict_implies(not(possibly(sK79)),not(possibly(sK78)))))), 56.55/7.45 inference(cnf_transformation,[],[f299])). 56.55/7.45 fof(f299,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0))))) | ~axiom_s3) & (axiom_s3 | ~is_a_theorem(strict_implies(strict_implies(sK78,sK79),strict_implies(not(possibly(sK79)),not(possibly(sK78))))))), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK78,sK79])],[f297,f298])). 56.55/7.45 fof(f298,plain,( 56.55/7.45 ? [X2,X3] : ~is_a_theorem(strict_implies(strict_implies(X2,X3),strict_implies(not(possibly(X3)),not(possibly(X2))))) => ~is_a_theorem(strict_implies(strict_implies(sK78,sK79),strict_implies(not(possibly(sK79)),not(possibly(sK78)))))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f297,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0))))) | ~axiom_s3) & (axiom_s3 | ? [X2,X3] : ~is_a_theorem(strict_implies(strict_implies(X2,X3),strict_implies(not(possibly(X3)),not(possibly(X2))))))), 56.55/7.45 inference(rectify,[],[f296])). 56.55/7.45 fof(f296,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0))))) | ~axiom_s3) & (axiom_s3 | ? [X0,X1] : ~is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0))))))), 56.55/7.45 inference(nnf_transformation,[],[f62])). 56.55/7.45 fof(f62,axiom,( 56.55/7.45 ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0))))) <=> axiom_s3), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_s3)). 56.55/7.45 fof(f1220,plain,( 56.55/7.45 ~spl94_126 | spl94_121), 56.55/7.45 inference(avatar_split_clause,[],[f1197,f1191,f1217])). 56.55/7.45 fof(f1197,plain,( 56.55/7.45 ~is_a_theorem(possibly(sK2)) | spl94_121), 56.55/7.45 inference(resolution,[],[f1193,f491])). 56.55/7.45 fof(f1215,plain,( 56.55/7.45 ~spl94_125 | spl94_123), 56.55/7.45 inference(avatar_split_clause,[],[f396,f1204,f1212])). 56.55/7.45 fof(f1204,plain,( 56.55/7.45 spl94_123 <=> r4), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_123])])). 56.55/7.45 fof(f396,plain,( 56.55/7.45 r4 | ~is_a_theorem(implies(or(sK27,or(sK28,sK29)),or(sK28,or(sK27,sK29))))), 56.55/7.45 inference(cnf_transformation,[],[f191])). 56.55/7.45 fof(f191,plain,( 56.55/7.45 (r4 | ~is_a_theorem(implies(or(sK27,or(sK28,sK29)),or(sK28,or(sK27,sK29))))) & (! [X3,X4,X5] : is_a_theorem(implies(or(X3,or(X4,X5)),or(X4,or(X3,X5)))) | ~r4)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29])],[f189,f190])). 56.55/7.45 fof(f190,plain,( 56.55/7.45 ? [X0,X1,X2] : ~is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) => ~is_a_theorem(implies(or(sK27,or(sK28,sK29)),or(sK28,or(sK27,sK29))))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f189,plain,( 56.55/7.45 (r4 | ? [X0,X1,X2] : ~is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))) & (! [X3,X4,X5] : is_a_theorem(implies(or(X3,or(X4,X5)),or(X4,or(X3,X5)))) | ~r4)), 56.55/7.45 inference(rectify,[],[f188])). 56.55/7.45 fof(f188,plain,( 56.55/7.45 (r4 | ? [X0,X1,X2] : ~is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))) & (! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) | ~r4)), 56.55/7.45 inference(nnf_transformation,[],[f99])). 56.55/7.45 fof(f99,plain,( 56.55/7.45 r4 <=> ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))), 56.55/7.45 inference(rectify,[],[f21])). 56.55/7.45 fof(f21,axiom,( 56.55/7.45 r4 <=> ! [X3,X4,X5] : is_a_theorem(implies(or(X3,or(X4,X5)),or(X4,or(X3,X5))))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',r4)). 56.55/7.45 fof(f1210,plain,( 56.55/7.45 ~spl94_123 | spl94_124), 56.55/7.45 inference(avatar_split_clause,[],[f395,f1208,f1204])). 56.55/7.45 fof(f1208,plain,( 56.55/7.45 spl94_124 <=> ! [X4,X5,X3] : is_a_theorem(implies(or(X3,or(X4,X5)),or(X4,or(X3,X5))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_124])])). 56.55/7.45 fof(f395,plain,( 56.55/7.45 ( ! [X3,X4,X5] : (is_a_theorem(implies(or(X3,or(X4,X5)),or(X4,or(X3,X5)))) | ~r4) )), 56.55/7.45 inference(cnf_transformation,[],[f191])). 56.55/7.45 fof(f1202,plain,( 56.55/7.45 ~spl94_122 | spl94_121), 56.55/7.45 inference(avatar_split_clause,[],[f1196,f1191,f1199])). 56.55/7.45 fof(f1196,plain,( 56.55/7.45 ~is_a_theorem(sK2) | spl94_121), 56.55/7.45 inference(resolution,[],[f1193,f870])). 56.55/7.45 fof(f1194,plain,( 56.55/7.45 ~spl94_121 | spl94_59), 56.55/7.45 inference(avatar_split_clause,[],[f1100,f783,f1191])). 56.55/7.45 fof(f1100,plain,( 56.55/7.45 ~is_a_theorem(necessarily(possibly(sK2))) | spl94_59), 56.55/7.45 inference(resolution,[],[f1077,f785])). 56.55/7.45 fof(f1189,plain,( 56.55/7.45 ~spl94_120 | spl94_118), 56.55/7.45 inference(avatar_split_clause,[],[f394,f1178,f1186])). 56.55/7.45 fof(f1178,plain,( 56.55/7.45 spl94_118 <=> axiom_m5), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_118])])). 56.55/7.45 fof(f394,plain,( 56.55/7.45 axiom_m5 | ~is_a_theorem(strict_implies(and(strict_implies(sK24,sK25),strict_implies(sK25,sK26)),strict_implies(sK24,sK26)))), 56.55/7.45 inference(cnf_transformation,[],[f187])). 56.55/7.45 fof(f187,plain,( 56.55/7.45 (axiom_m5 | ~is_a_theorem(strict_implies(and(strict_implies(sK24,sK25),strict_implies(sK25,sK26)),strict_implies(sK24,sK26)))) & (! [X3,X4,X5] : is_a_theorem(strict_implies(and(strict_implies(X3,X4),strict_implies(X4,X5)),strict_implies(X3,X5))) | ~axiom_m5)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25,sK26])],[f185,f186])). 56.55/7.45 fof(f186,plain,( 56.55/7.45 ? [X0,X1,X2] : ~is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))) => ~is_a_theorem(strict_implies(and(strict_implies(sK24,sK25),strict_implies(sK25,sK26)),strict_implies(sK24,sK26)))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f185,plain,( 56.55/7.45 (axiom_m5 | ? [X0,X1,X2] : ~is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))) & (! [X3,X4,X5] : is_a_theorem(strict_implies(and(strict_implies(X3,X4),strict_implies(X4,X5)),strict_implies(X3,X5))) | ~axiom_m5)), 56.55/7.45 inference(rectify,[],[f184])). 56.55/7.45 fof(f184,plain,( 56.55/7.45 (axiom_m5 | ? [X0,X1,X2] : ~is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))) & (! [X0,X1,X2] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))) | ~axiom_m5)), 56.55/7.45 inference(nnf_transformation,[],[f65])). 56.55/7.45 fof(f65,axiom,( 56.55/7.45 axiom_m5 <=> ! [X0,X1,X2] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m5)). 56.55/7.45 fof(f1184,plain,( 56.55/7.45 ~spl94_118 | spl94_119), 56.55/7.45 inference(avatar_split_clause,[],[f393,f1182,f1178])). 56.55/7.45 fof(f1182,plain,( 56.55/7.45 spl94_119 <=> ! [X4,X5,X3] : is_a_theorem(strict_implies(and(strict_implies(X3,X4),strict_implies(X4,X5)),strict_implies(X3,X5)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_119])])). 56.55/7.45 fof(f393,plain,( 56.55/7.45 ( ! [X3,X4,X5] : (is_a_theorem(strict_implies(and(strict_implies(X3,X4),strict_implies(X4,X5)),strict_implies(X3,X5))) | ~axiom_m5) )), 56.55/7.45 inference(cnf_transformation,[],[f187])). 56.55/7.45 fof(f1176,plain,( 56.55/7.45 ~spl94_117 | spl94_52), 56.55/7.45 inference(avatar_split_clause,[],[f1099,f752,f1173])). 56.55/7.45 fof(f1099,plain,( 56.55/7.45 ~is_a_theorem(and(sK71,sK70)) | spl94_52), 56.55/7.45 inference(resolution,[],[f1077,f754])). 56.55/7.45 fof(f1170,plain,( 56.55/7.45 ~spl94_116 | spl94_111), 56.55/7.45 inference(avatar_split_clause,[],[f1152,f1138,f1167])). 56.55/7.45 fof(f1152,plain,( 56.55/7.45 ~is_a_theorem(sK56) | spl94_111), 56.55/7.45 inference(resolution,[],[f1140,f902])). 56.55/7.45 fof(f1165,plain,( 56.55/7.45 ~spl94_115 | spl94_113), 56.55/7.45 inference(avatar_split_clause,[],[f392,f1154,f1162])). 56.55/7.45 fof(f1154,plain,( 56.55/7.45 spl94_113 <=> axiom_m3), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_113])])). 56.55/7.45 fof(f392,plain,( 56.55/7.45 axiom_m3 | ~is_a_theorem(strict_implies(and(and(sK21,sK22),sK23),and(sK21,and(sK22,sK23))))), 56.55/7.45 inference(cnf_transformation,[],[f183])). 56.55/7.45 fof(f183,plain,( 56.55/7.45 (axiom_m3 | ~is_a_theorem(strict_implies(and(and(sK21,sK22),sK23),and(sK21,and(sK22,sK23))))) & (! [X3,X4,X5] : is_a_theorem(strict_implies(and(and(X3,X4),X5),and(X3,and(X4,X5)))) | ~axiom_m3)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23])],[f181,f182])). 56.55/7.45 fof(f182,plain,( 56.55/7.45 ? [X0,X1,X2] : ~is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))) => ~is_a_theorem(strict_implies(and(and(sK21,sK22),sK23),and(sK21,and(sK22,sK23))))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f181,plain,( 56.55/7.45 (axiom_m3 | ? [X0,X1,X2] : ~is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))) & (! [X3,X4,X5] : is_a_theorem(strict_implies(and(and(X3,X4),X5),and(X3,and(X4,X5)))) | ~axiom_m3)), 56.55/7.45 inference(rectify,[],[f180])). 56.55/7.45 fof(f180,plain,( 56.55/7.45 (axiom_m3 | ? [X0,X1,X2] : ~is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))) & (! [X0,X1,X2] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))) | ~axiom_m3)), 56.55/7.45 inference(nnf_transformation,[],[f53])). 56.55/7.45 fof(f53,axiom,( 56.55/7.45 axiom_m3 <=> ! [X0,X1,X2] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m3)). 56.55/7.45 fof(f1160,plain,( 56.55/7.45 ~spl94_113 | spl94_114), 56.55/7.45 inference(avatar_split_clause,[],[f391,f1158,f1154])). 56.55/7.45 fof(f1158,plain,( 56.55/7.45 spl94_114 <=> ! [X4,X5,X3] : is_a_theorem(strict_implies(and(and(X3,X4),X5),and(X3,and(X4,X5))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_114])])). 56.55/7.45 fof(f391,plain,( 56.55/7.45 ( ! [X3,X4,X5] : (is_a_theorem(strict_implies(and(and(X3,X4),X5),and(X3,and(X4,X5)))) | ~axiom_m3) )), 56.55/7.45 inference(cnf_transformation,[],[f183])). 56.55/7.45 fof(f1149,plain,( 56.55/7.45 ~spl94_112 | spl94_110), 56.55/7.45 inference(avatar_split_clause,[],[f1142,f1132,f1146])). 56.55/7.45 fof(f1142,plain,( 56.55/7.45 ~is_a_theorem(sK4) | spl94_110), 56.55/7.45 inference(resolution,[],[f1134,f902])). 56.55/7.45 fof(f1141,plain,( 56.55/7.45 ~spl94_111 | spl94_38), 56.55/7.45 inference(avatar_split_clause,[],[f1104,f685,f1138])). 56.55/7.45 fof(f1104,plain,( 56.55/7.45 ~is_a_theorem(possibly(sK56)) | spl94_38), 56.55/7.45 inference(resolution,[],[f1077,f687])). 56.55/7.45 fof(f1135,plain,( 56.55/7.45 ~spl94_110 | spl94_65), 56.55/7.45 inference(avatar_split_clause,[],[f1101,f809,f1132])). 56.55/7.45 fof(f1101,plain,( 56.55/7.45 ~is_a_theorem(possibly(sK4)) | spl94_65), 56.55/7.45 inference(resolution,[],[f1077,f811])). 56.55/7.45 fof(f1130,plain,( 56.55/7.45 ~spl94_109 | spl94_107), 56.55/7.45 inference(avatar_split_clause,[],[f383,f1119,f1127])). 56.55/7.45 fof(f1119,plain,( 56.55/7.45 spl94_107 <=> axiom_s2), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_107])])). 56.55/7.45 fof(f383,plain,( 56.55/7.45 axiom_s2 | ~is_a_theorem(strict_implies(possibly(and(sK15,sK16)),and(possibly(sK15),possibly(sK16))))), 56.55/7.45 inference(cnf_transformation,[],[f171])). 56.55/7.45 fof(f171,plain,( 56.55/7.45 (axiom_s2 | ~is_a_theorem(strict_implies(possibly(and(sK15,sK16)),and(possibly(sK15),possibly(sK16))))) & (! [X2,X3] : is_a_theorem(strict_implies(possibly(and(X2,X3)),and(possibly(X2),possibly(X3)))) | ~axiom_s2)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f169,f170])). 56.55/7.45 fof(f170,plain,( 56.55/7.45 ? [X0,X1] : ~is_a_theorem(strict_implies(possibly(and(X0,X1)),and(possibly(X0),possibly(X1)))) => ~is_a_theorem(strict_implies(possibly(and(sK15,sK16)),and(possibly(sK15),possibly(sK16))))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f169,plain,( 56.55/7.45 (axiom_s2 | ? [X0,X1] : ~is_a_theorem(strict_implies(possibly(and(X0,X1)),and(possibly(X0),possibly(X1))))) & (! [X2,X3] : is_a_theorem(strict_implies(possibly(and(X2,X3)),and(possibly(X2),possibly(X3)))) | ~axiom_s2)), 56.55/7.45 inference(rectify,[],[f168])). 56.55/7.45 fof(f168,plain,( 56.55/7.45 (axiom_s2 | ? [X0,X1] : ~is_a_theorem(strict_implies(possibly(and(X0,X1)),and(possibly(X0),possibly(X1))))) & (! [X0,X1] : is_a_theorem(strict_implies(possibly(and(X0,X1)),and(possibly(X0),possibly(X1)))) | ~axiom_s2)), 56.55/7.45 inference(nnf_transformation,[],[f98])). 56.55/7.45 fof(f98,plain,( 56.55/7.45 axiom_s2 <=> ! [X0,X1] : is_a_theorem(strict_implies(possibly(and(X0,X1)),and(possibly(X0),possibly(X1))))), 56.55/7.45 inference(rectify,[],[f67])). 56.55/7.45 fof(f67,axiom,( 56.55/7.45 axiom_s2 <=> ! [X3,X4] : is_a_theorem(strict_implies(possibly(and(X3,X4)),and(possibly(X3),possibly(X4))))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_s2)). 56.55/7.45 fof(f1125,plain,( 56.55/7.45 ~spl94_107 | spl94_108), 56.55/7.45 inference(avatar_split_clause,[],[f382,f1123,f1119])). 56.55/7.45 fof(f1123,plain,( 56.55/7.45 spl94_108 <=> ! [X2,X3] : is_a_theorem(strict_implies(possibly(and(X2,X3)),and(possibly(X2),possibly(X3))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_108])])). 56.55/7.45 fof(f382,plain,( 56.55/7.45 ( ! [X2,X3] : (is_a_theorem(strict_implies(possibly(and(X2,X3)),and(possibly(X2),possibly(X3)))) | ~axiom_s2) )), 56.55/7.45 inference(cnf_transformation,[],[f171])). 56.55/7.45 fof(f1117,plain,( 56.55/7.45 ~spl94_106 | spl94_74), 56.55/7.45 inference(avatar_split_clause,[],[f1102,f848,f1114])). 56.55/7.45 fof(f1102,plain,( 56.55/7.45 ~is_a_theorem(sK9) | spl94_74), 56.55/7.45 inference(resolution,[],[f1077,f850])). 56.55/7.45 fof(f1095,plain,( 56.55/7.45 spl94_62), 56.55/7.45 inference(avatar_contradiction_clause,[],[f1076])). 56.55/7.45 fof(f1076,plain,( 56.55/7.45 $false | spl94_62), 56.55/7.45 inference(unit_resulting_resolution,[],[f798,f480,f866])). 56.55/7.45 fof(f798,plain,( 56.55/7.45 ~is_a_theorem(strict_implies(necessarily(sK3),necessarily(necessarily(sK3)))) | spl94_62), 56.55/7.45 inference(avatar_component_clause,[],[f796])). 56.55/7.45 fof(f796,plain,( 56.55/7.45 spl94_62 <=> is_a_theorem(strict_implies(necessarily(sK3),necessarily(necessarily(sK3))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_62])])). 56.55/7.45 fof(f1094,plain,( 56.55/7.45 spl94_50), 56.55/7.45 inference(avatar_contradiction_clause,[],[f1075])). 56.55/7.45 fof(f1075,plain,( 56.55/7.45 $false | spl94_50), 56.55/7.45 inference(unit_resulting_resolution,[],[f742,f483,f866])). 56.55/7.45 fof(f742,plain,( 56.55/7.45 ~is_a_theorem(strict_implies(and(sK60,sK61),sK60)) | spl94_50), 56.55/7.45 inference(avatar_component_clause,[],[f740])). 56.55/7.45 fof(f740,plain,( 56.55/7.45 spl94_50 <=> is_a_theorem(strict_implies(and(sK60,sK61),sK60))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_50])])). 56.55/7.45 fof(f1093,plain,( 56.55/7.45 spl94_42 | ~spl94_97), 56.55/7.45 inference(avatar_contradiction_clause,[],[f1074])). 56.55/7.45 fof(f1074,plain,( 56.55/7.45 $false | (spl94_42 | ~spl94_97)), 56.55/7.45 inference(unit_resulting_resolution,[],[f704,f1022,f866])). 56.55/7.45 fof(f704,plain,( 56.55/7.45 ~is_a_theorem(strict_implies(sK0,and(sK0,sK0))) | spl94_42), 56.55/7.45 inference(avatar_component_clause,[],[f702])). 56.55/7.45 fof(f702,plain,( 56.55/7.45 spl94_42 <=> is_a_theorem(strict_implies(sK0,and(sK0,sK0)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_42])])). 56.55/7.45 fof(f1063,plain,( 56.55/7.45 spl94_105 | ~spl94_97), 56.55/7.45 inference(avatar_split_clause,[],[f1029,f1021,f1061])). 56.55/7.45 fof(f1029,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(and(X0,X0)) | ~is_a_theorem(X0)) ) | ~spl94_97), 56.55/7.45 inference(resolution,[],[f1022,f489])). 56.55/7.45 fof(f1059,plain,( 56.55/7.45 ~spl94_104 | spl94_102), 56.55/7.45 inference(avatar_split_clause,[],[f381,f1048,f1056])). 56.55/7.45 fof(f1048,plain,( 56.55/7.45 spl94_102 <=> axiom_m8), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_102])])). 56.55/7.45 fof(f381,plain,( 56.55/7.45 axiom_m8 | ~is_a_theorem(strict_implies(strict_implies(sK13,sK14),strict_implies(possibly(sK13),possibly(sK14))))), 56.55/7.45 inference(cnf_transformation,[],[f167])). 56.55/7.45 fof(f167,plain,( 56.55/7.45 (axiom_m8 | ~is_a_theorem(strict_implies(strict_implies(sK13,sK14),strict_implies(possibly(sK13),possibly(sK14))))) & (! [X2,X3] : is_a_theorem(strict_implies(strict_implies(X2,X3),strict_implies(possibly(X2),possibly(X3)))) | ~axiom_m8)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f165,f166])). 56.55/7.45 fof(f166,plain,( 56.55/7.45 ? [X0,X1] : ~is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(X0),possibly(X1)))) => ~is_a_theorem(strict_implies(strict_implies(sK13,sK14),strict_implies(possibly(sK13),possibly(sK14))))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f165,plain,( 56.55/7.45 (axiom_m8 | ? [X0,X1] : ~is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(X0),possibly(X1))))) & (! [X2,X3] : is_a_theorem(strict_implies(strict_implies(X2,X3),strict_implies(possibly(X2),possibly(X3)))) | ~axiom_m8)), 56.55/7.45 inference(rectify,[],[f164])). 56.55/7.45 fof(f164,plain,( 56.55/7.45 (axiom_m8 | ? [X0,X1] : ~is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(X0),possibly(X1))))) & (! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(X0),possibly(X1)))) | ~axiom_m8)), 56.55/7.45 inference(nnf_transformation,[],[f97])). 56.55/7.45 fof(f97,plain,( 56.55/7.45 axiom_m8 <=> ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(X0),possibly(X1))))), 56.55/7.45 inference(rectify,[],[f64])). 56.55/7.45 fof(f64,axiom,( 56.55/7.45 axiom_m8 <=> ! [X3,X4] : is_a_theorem(strict_implies(strict_implies(X3,X4),strict_implies(possibly(X3),possibly(X4))))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m8)). 56.55/7.45 fof(f1054,plain,( 56.55/7.45 ~spl94_102 | spl94_103), 56.55/7.45 inference(avatar_split_clause,[],[f380,f1052,f1048])). 56.55/7.45 fof(f1052,plain,( 56.55/7.45 spl94_103 <=> ! [X2,X3] : is_a_theorem(strict_implies(strict_implies(X2,X3),strict_implies(possibly(X2),possibly(X3))))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_103])])). 56.55/7.45 fof(f380,plain,( 56.55/7.45 ( ! [X2,X3] : (is_a_theorem(strict_implies(strict_implies(X2,X3),strict_implies(possibly(X2),possibly(X3)))) | ~axiom_m8) )), 56.55/7.45 inference(cnf_transformation,[],[f167])). 56.55/7.45 fof(f1046,plain,( 56.55/7.45 ~spl94_100 | spl94_101), 56.55/7.45 inference(avatar_split_clause,[],[f353,f1044,f1040])). 56.55/7.45 fof(f1040,plain,( 56.55/7.45 spl94_100 <=> op_and), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_100])])). 56.55/7.45 fof(f1044,plain,( 56.55/7.45 spl94_101 <=> ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_101])])). 56.55/7.45 fof(f353,plain,( 56.55/7.45 ( ! [X0,X1] : (and(X0,X1) = not(or(not(X0),not(X1))) | ~op_and) )), 56.55/7.45 inference(cnf_transformation,[],[f108])). 56.55/7.45 fof(f108,plain,( 56.55/7.45 ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) | ~op_and), 56.55/7.45 inference(ennf_transformation,[],[f31])). 56.55/7.45 fof(f31,axiom,( 56.55/7.45 op_and => ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_and)). 56.55/7.45 fof(f1034,plain,( 56.55/7.45 ~spl94_99 | spl94_91), 56.55/7.45 inference(avatar_split_clause,[],[f1009,f949,f1031])). 56.55/7.45 fof(f1009,plain,( 56.55/7.45 ~is_a_theorem(possibly(sK5)) | spl94_91), 56.55/7.45 inference(resolution,[],[f951,f491])). 56.55/7.45 fof(f1028,plain,( 56.55/7.45 ~spl94_98 | spl94_91), 56.55/7.45 inference(avatar_split_clause,[],[f1008,f949,f1025])). 56.55/7.45 fof(f1008,plain,( 56.55/7.45 ~is_a_theorem(sK5) | spl94_91), 56.55/7.45 inference(resolution,[],[f951,f870])). 56.55/7.45 fof(f1023,plain,( 56.55/7.45 ~spl94_49 | spl94_97), 56.55/7.45 inference(avatar_split_clause,[],[f431,f1021,f735])). 56.55/7.45 fof(f735,plain,( 56.55/7.45 spl94_49 <=> kn1), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_49])])). 56.55/7.45 fof(f431,plain,( 56.55/7.45 ( ! [X0] : (is_a_theorem(implies(X0,and(X0,X0))) | ~kn1) )), 56.55/7.45 inference(cnf_transformation,[],[f255])). 56.55/7.45 fof(f255,plain,( 56.55/7.45 (! [X0] : is_a_theorem(implies(X0,and(X0,X0))) | ~kn1) & (kn1 | ~is_a_theorem(implies(sK58,and(sK58,sK58))))), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f253,f254])). 56.55/7.45 fof(f254,plain,( 56.55/7.45 ? [X1] : ~is_a_theorem(implies(X1,and(X1,X1))) => ~is_a_theorem(implies(sK58,and(sK58,sK58)))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f253,plain,( 56.55/7.45 (! [X0] : is_a_theorem(implies(X0,and(X0,X0))) | ~kn1) & (kn1 | ? [X1] : ~is_a_theorem(implies(X1,and(X1,X1))))), 56.55/7.45 inference(rectify,[],[f252])). 56.55/7.45 fof(f252,plain,( 56.55/7.45 (! [X0] : is_a_theorem(implies(X0,and(X0,X0))) | ~kn1) & (kn1 | ? [X0] : ~is_a_theorem(implies(X0,and(X0,X0))))), 56.55/7.45 inference(nnf_transformation,[],[f101])). 56.55/7.45 fof(f101,plain,( 56.55/7.45 ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) <=> kn1), 56.55/7.45 inference(rectify,[],[f22])). 56.55/7.45 fof(f22,axiom,( 56.55/7.45 ! [X3] : is_a_theorem(implies(X3,and(X3,X3))) <=> kn1), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',kn1)). 56.55/7.45 fof(f1019,plain,( 56.55/7.45 ~spl94_96 | ~spl94_48 | spl94_92), 56.55/7.45 inference(avatar_split_clause,[],[f1014,f958,f731,f1016])). 56.55/7.45 fof(f731,plain,( 56.55/7.45 spl94_48 <=> is_a_theorem(implies(sK58,and(sK58,sK58)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_48])])). 56.55/7.45 fof(f958,plain,( 56.55/7.45 spl94_92 <=> is_a_theorem(and(sK58,sK58))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_92])])). 56.55/7.45 fof(f1014,plain,( 56.55/7.45 ~is_a_theorem(sK58) | (~spl94_48 | spl94_92)), 56.55/7.45 inference(subsumption_resolution,[],[f1013,f960])). 56.55/7.45 fof(f960,plain,( 56.55/7.45 ~is_a_theorem(and(sK58,sK58)) | spl94_92), 56.55/7.45 inference(avatar_component_clause,[],[f958])). 56.55/7.45 fof(f1013,plain,( 56.55/7.45 is_a_theorem(and(sK58,sK58)) | ~is_a_theorem(sK58) | ~spl94_48), 56.55/7.45 inference(resolution,[],[f732,f489])). 56.55/7.45 fof(f732,plain,( 56.55/7.45 is_a_theorem(implies(sK58,and(sK58,sK58))) | ~spl94_48), 56.55/7.45 inference(avatar_component_clause,[],[f731])). 56.55/7.45 fof(f1012,plain,( 56.55/7.45 spl94_48), 56.55/7.45 inference(avatar_contradiction_clause,[],[f1010])). 56.55/7.45 fof(f1010,plain,( 56.55/7.45 $false | spl94_48), 56.55/7.45 inference(unit_resulting_resolution,[],[f733,f484,f497,f489])). 56.55/7.45 fof(f733,plain,( 56.55/7.45 ~is_a_theorem(implies(sK58,and(sK58,sK58))) | spl94_48), 56.55/7.45 inference(avatar_component_clause,[],[f731])). 56.55/7.45 fof(f1002,plain,( 56.55/7.45 ~spl94_95 | spl94_89), 56.55/7.45 inference(avatar_split_clause,[],[f963,f939,f999])). 56.55/7.45 fof(f963,plain,( 56.55/7.45 ~is_a_theorem(sK11) | spl94_89), 56.55/7.45 inference(resolution,[],[f941,f868])). 56.55/7.45 fof(f997,plain,( 56.55/7.45 ~spl94_94 | spl94_89), 56.55/7.45 inference(avatar_split_clause,[],[f962,f939,f994])). 56.55/7.45 fof(f962,plain,( 56.55/7.45 ~is_a_theorem(sK12) | spl94_89), 56.55/7.45 inference(resolution,[],[f941,f869])). 56.55/7.45 fof(f992,plain,( 56.55/7.45 ~spl94_93 | spl94_71), 56.55/7.45 inference(avatar_split_clause,[],[f980,f835,f989])). 56.55/7.45 fof(f835,plain,( 56.55/7.45 spl94_71 <=> is_a_theorem(implies(implies(not(sK6),sK6),sK6))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_71])])). 56.55/7.45 fof(f980,plain,( 56.55/7.45 ~is_a_theorem(implies(or(sK6,sK6),sK6)) | spl94_71), 56.55/7.45 inference(backward_demodulation,[],[f837,f970])). 56.55/7.45 fof(f837,plain,( 56.55/7.45 ~is_a_theorem(implies(implies(not(sK6),sK6),sK6)) | spl94_71), 56.55/7.45 inference(avatar_component_clause,[],[f835])). 56.55/7.45 fof(f984,plain,( 56.55/7.45 spl94_76), 56.55/7.45 inference(avatar_contradiction_clause,[],[f983])). 56.55/7.45 fof(f983,plain,( 56.55/7.45 $false | spl94_76), 56.55/7.45 inference(subsumption_resolution,[],[f982,f482])). 56.55/7.45 fof(f982,plain,( 56.55/7.45 ~is_a_theorem(implies(sK68,or(sK68,sK69))) | spl94_76), 56.55/7.45 inference(backward_demodulation,[],[f859,f970])). 56.55/7.45 fof(f859,plain,( 56.55/7.45 ~is_a_theorem(implies(sK68,implies(not(sK68),sK69))) | spl94_76), 56.55/7.45 inference(avatar_component_clause,[],[f857])). 56.55/7.45 fof(f857,plain,( 56.55/7.45 spl94_76 <=> is_a_theorem(implies(sK68,implies(not(sK68),sK69)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_76])])). 56.55/7.45 fof(f961,plain,( 56.55/7.45 ~spl94_92 | spl94_48), 56.55/7.45 inference(avatar_split_clause,[],[f908,f731,f958])). 56.55/7.45 fof(f908,plain,( 56.55/7.45 ~is_a_theorem(and(sK58,sK58)) | spl94_48), 56.55/7.45 inference(resolution,[],[f871,f733])). 56.55/7.45 fof(f952,plain,( 56.55/7.45 ~spl94_91 | spl94_68), 56.55/7.45 inference(avatar_split_clause,[],[f907,f822,f949])). 56.55/7.45 fof(f907,plain,( 56.55/7.45 ~is_a_theorem(necessarily(possibly(sK5))) | spl94_68), 56.55/7.45 inference(resolution,[],[f871,f824])). 56.55/7.45 fof(f947,plain,( 56.55/7.45 spl94_90 | spl94_34), 56.55/7.45 inference(avatar_split_clause,[],[f455,f666,f944])). 56.55/7.45 fof(f666,plain,( 56.55/7.45 spl94_34 <=> modus_ponens_strict_implies), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_34])])). 56.55/7.45 fof(f455,plain,( 56.55/7.45 modus_ponens_strict_implies | is_a_theorem(strict_implies(sK80,sK81))), 56.55/7.45 inference(cnf_transformation,[],[f303])). 56.55/7.45 fof(f303,plain,( 56.55/7.45 (! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(X0) | ~is_a_theorem(strict_implies(X0,X1))) | ~modus_ponens_strict_implies) & (modus_ponens_strict_implies | (~is_a_theorem(sK81) & is_a_theorem(sK80) & is_a_theorem(strict_implies(sK80,sK81))))), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK80,sK81])],[f301,f302])). 56.55/7.45 fof(f302,plain,( 56.55/7.45 ? [X2,X3] : (~is_a_theorem(X3) & is_a_theorem(X2) & is_a_theorem(strict_implies(X2,X3))) => (~is_a_theorem(sK81) & is_a_theorem(sK80) & is_a_theorem(strict_implies(sK80,sK81)))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f301,plain,( 56.55/7.45 (! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(X0) | ~is_a_theorem(strict_implies(X0,X1))) | ~modus_ponens_strict_implies) & (modus_ponens_strict_implies | ? [X2,X3] : (~is_a_theorem(X3) & is_a_theorem(X2) & is_a_theorem(strict_implies(X2,X3))))), 56.55/7.45 inference(rectify,[],[f300])). 56.55/7.45 fof(f300,plain,( 56.55/7.45 (! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(X0) | ~is_a_theorem(strict_implies(X0,X1))) | ~modus_ponens_strict_implies) & (modus_ponens_strict_implies | ? [X0,X1] : (~is_a_theorem(X1) & is_a_theorem(X0) & is_a_theorem(strict_implies(X0,X1))))), 56.55/7.45 inference(nnf_transformation,[],[f123])). 56.55/7.45 fof(f123,plain,( 56.55/7.45 ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(X0) | ~is_a_theorem(strict_implies(X0,X1))) <=> modus_ponens_strict_implies), 56.55/7.45 inference(flattening,[],[f122])). 56.55/7.45 fof(f122,plain,( 56.55/7.45 ! [X0,X1] : (is_a_theorem(X1) | (~is_a_theorem(X0) | ~is_a_theorem(strict_implies(X0,X1)))) <=> modus_ponens_strict_implies), 56.55/7.45 inference(ennf_transformation,[],[f66])). 56.55/7.45 fof(f66,axiom,( 56.55/7.45 ! [X0,X1] : ((is_a_theorem(X0) & is_a_theorem(strict_implies(X0,X1))) => is_a_theorem(X1)) <=> modus_ponens_strict_implies), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens_strict_implies)). 56.55/7.45 fof(f942,plain,( 56.55/7.45 ~spl94_89 | spl94_82), 56.55/7.45 inference(avatar_split_clause,[],[f906,f898,f939])). 56.55/7.45 fof(f906,plain,( 56.55/7.45 ~is_a_theorem(or(sK12,sK11)) | spl94_82), 56.55/7.45 inference(resolution,[],[f871,f900])). 56.55/7.45 fof(f937,plain,( 56.55/7.45 ~spl94_88 | spl94_34), 56.55/7.45 inference(avatar_split_clause,[],[f457,f666,f934])). 56.55/7.45 fof(f457,plain,( 56.55/7.45 modus_ponens_strict_implies | ~is_a_theorem(sK81)), 56.55/7.45 inference(cnf_transformation,[],[f303])). 56.55/7.45 fof(f932,plain,( 56.55/7.45 ~spl94_34 | spl94_87), 56.55/7.45 inference(avatar_split_clause,[],[f458,f930,f666])). 56.55/7.45 fof(f458,plain,( 56.55/7.45 ( ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(X0) | ~is_a_theorem(strict_implies(X0,X1)) | ~modus_ponens_strict_implies) )), 56.55/7.45 inference(cnf_transformation,[],[f303])). 56.55/7.45 fof(f928,plain,( 56.55/7.45 ~spl94_86 | spl94_45), 56.55/7.45 inference(avatar_split_clause,[],[f905,f715,f925])). 56.55/7.45 fof(f905,plain,( 56.55/7.45 ~is_a_theorem(sK1) | spl94_45), 56.55/7.45 inference(resolution,[],[f871,f717])). 56.55/7.45 fof(f923,plain,( 56.55/7.45 ~spl94_85 | spl94_71), 56.55/7.45 inference(avatar_split_clause,[],[f904,f835,f920])). 56.55/7.45 fof(f904,plain,( 56.55/7.45 ~is_a_theorem(sK6) | spl94_71), 56.55/7.45 inference(resolution,[],[f871,f837])). 56.55/7.45 fof(f918,plain,( 56.55/7.45 ~spl94_84 | spl94_31), 56.55/7.45 inference(avatar_split_clause,[],[f390,f652,f915])). 56.55/7.45 fof(f652,plain,( 56.55/7.45 spl94_31 <=> adjunction), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_31])])). 56.55/7.45 fof(f390,plain,( 56.55/7.45 adjunction | ~is_a_theorem(and(sK19,sK20))), 56.55/7.45 inference(cnf_transformation,[],[f179])). 56.55/7.45 fof(f179,plain,( 56.55/7.45 (adjunction | (~is_a_theorem(and(sK19,sK20)) & is_a_theorem(sK20) & is_a_theorem(sK19))) & (! [X2,X3] : (is_a_theorem(and(X2,X3)) | ~is_a_theorem(X3) | ~is_a_theorem(X2)) | ~adjunction)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f177,f178])). 56.55/7.45 fof(f178,plain,( 56.55/7.45 ? [X0,X1] : (~is_a_theorem(and(X0,X1)) & is_a_theorem(X1) & is_a_theorem(X0)) => (~is_a_theorem(and(sK19,sK20)) & is_a_theorem(sK20) & is_a_theorem(sK19))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f177,plain,( 56.55/7.45 (adjunction | ? [X0,X1] : (~is_a_theorem(and(X0,X1)) & is_a_theorem(X1) & is_a_theorem(X0))) & (! [X2,X3] : (is_a_theorem(and(X2,X3)) | ~is_a_theorem(X3) | ~is_a_theorem(X2)) | ~adjunction)), 56.55/7.45 inference(rectify,[],[f176])). 56.55/7.45 fof(f176,plain,( 56.55/7.45 (adjunction | ? [X0,X1] : (~is_a_theorem(and(X0,X1)) & is_a_theorem(X1) & is_a_theorem(X0))) & (! [X0,X1] : (is_a_theorem(and(X0,X1)) | ~is_a_theorem(X1) | ~is_a_theorem(X0)) | ~adjunction)), 56.55/7.45 inference(nnf_transformation,[],[f117])). 56.55/7.45 fof(f117,plain,( 56.55/7.45 adjunction <=> ! [X0,X1] : (is_a_theorem(and(X0,X1)) | ~is_a_theorem(X1) | ~is_a_theorem(X0))), 56.55/7.45 inference(flattening,[],[f116])). 56.55/7.45 fof(f116,plain,( 56.55/7.45 adjunction <=> ! [X0,X1] : (is_a_theorem(and(X0,X1)) | (~is_a_theorem(X1) | ~is_a_theorem(X0)))), 56.55/7.45 inference(ennf_transformation,[],[f71])). 56.55/7.45 fof(f71,axiom,( 56.55/7.45 adjunction <=> ! [X0,X1] : ((is_a_theorem(X1) & is_a_theorem(X0)) => is_a_theorem(and(X0,X1)))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',adjunction)). 56.55/7.45 fof(f913,plain,( 56.55/7.45 ~spl94_31 | spl94_83), 56.55/7.45 inference(avatar_split_clause,[],[f387,f911,f652])). 56.55/7.45 fof(f387,plain,( 56.55/7.45 ( ! [X2,X3] : (is_a_theorem(and(X2,X3)) | ~is_a_theorem(X3) | ~is_a_theorem(X2) | ~adjunction) )), 56.55/7.45 inference(cnf_transformation,[],[f179])). 56.55/7.45 fof(f901,plain,( 56.55/7.45 ~spl94_82 | spl94_80), 56.55/7.45 inference(avatar_split_clause,[],[f379,f890,f898])). 56.55/7.45 fof(f890,plain,( 56.55/7.45 spl94_80 <=> r3), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_80])])). 56.55/7.45 fof(f379,plain,( 56.55/7.45 r3 | ~is_a_theorem(implies(or(sK11,sK12),or(sK12,sK11)))), 56.55/7.45 inference(cnf_transformation,[],[f163])). 56.55/7.45 fof(f163,plain,( 56.55/7.45 (r3 | ~is_a_theorem(implies(or(sK11,sK12),or(sK12,sK11)))) & (! [X2,X3] : is_a_theorem(implies(or(X2,X3),or(X3,X2))) | ~r3)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f161,f162])). 56.55/7.45 fof(f162,plain,( 56.55/7.45 ? [X0,X1] : ~is_a_theorem(implies(or(X0,X1),or(X1,X0))) => ~is_a_theorem(implies(or(sK11,sK12),or(sK12,sK11)))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f161,plain,( 56.55/7.45 (r3 | ? [X0,X1] : ~is_a_theorem(implies(or(X0,X1),or(X1,X0)))) & (! [X2,X3] : is_a_theorem(implies(or(X2,X3),or(X3,X2))) | ~r3)), 56.55/7.45 inference(rectify,[],[f160])). 56.55/7.45 fof(f160,plain,( 56.55/7.45 (r3 | ? [X0,X1] : ~is_a_theorem(implies(or(X0,X1),or(X1,X0)))) & (! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) | ~r3)), 56.55/7.45 inference(nnf_transformation,[],[f96])). 56.55/7.45 fof(f96,plain,( 56.55/7.45 r3 <=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))), 56.55/7.45 inference(rectify,[],[f20])). 56.55/7.45 fof(f20,axiom,( 56.55/7.45 r3 <=> ! [X3,X4] : is_a_theorem(implies(or(X3,X4),or(X4,X3)))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',r3)). 56.55/7.45 fof(f896,plain,( 56.55/7.45 ~spl94_80 | spl94_81), 56.55/7.45 inference(avatar_split_clause,[],[f378,f894,f890])). 56.55/7.45 fof(f378,plain,( 56.55/7.45 ( ! [X2,X3] : (is_a_theorem(implies(or(X2,X3),or(X3,X2))) | ~r3) )), 56.55/7.45 inference(cnf_transformation,[],[f163])). 56.55/7.45 fof(f888,plain,( 56.55/7.45 ~spl94_78 | spl94_79), 56.55/7.45 inference(avatar_split_clause,[],[f352,f886,f882])). 56.55/7.45 fof(f882,plain,( 56.55/7.45 spl94_78 <=> op_implies_or), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_78])])). 56.55/7.45 fof(f352,plain,( 56.55/7.45 ( ! [X0,X1] : (implies(X0,X1) = or(not(X0),X1) | ~op_implies_or) )), 56.55/7.45 inference(cnf_transformation,[],[f107])). 56.55/7.45 fof(f107,plain,( 56.55/7.45 ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) | ~op_implies_or), 56.55/7.45 inference(ennf_transformation,[],[f28])). 56.55/7.45 fof(f28,axiom,( 56.55/7.45 op_implies_or => ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_or)). 56.55/7.45 fof(f864,plain,( 56.55/7.45 ~spl94_76 | spl94_77), 56.55/7.45 inference(avatar_split_clause,[],[f443,f861,f857])). 56.55/7.45 fof(f861,plain,( 56.55/7.45 spl94_77 <=> cn2), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_77])])). 56.55/7.45 fof(f443,plain,( 56.55/7.45 cn2 | ~is_a_theorem(implies(sK68,implies(not(sK68),sK69)))), 56.55/7.45 inference(cnf_transformation,[],[f279])). 56.55/7.45 fof(f279,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) | ~cn2) & (cn2 | ~is_a_theorem(implies(sK68,implies(not(sK68),sK69))))), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK68,sK69])],[f277,f278])). 56.55/7.45 fof(f278,plain,( 56.55/7.45 ? [X2,X3] : ~is_a_theorem(implies(X2,implies(not(X2),X3))) => ~is_a_theorem(implies(sK68,implies(not(sK68),sK69)))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f277,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) | ~cn2) & (cn2 | ? [X2,X3] : ~is_a_theorem(implies(X2,implies(not(X2),X3))))), 56.55/7.45 inference(rectify,[],[f276])). 56.55/7.45 fof(f276,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) | ~cn2) & (cn2 | ? [X0,X1] : ~is_a_theorem(implies(X0,implies(not(X0),X1))))), 56.55/7.45 inference(nnf_transformation,[],[f103])). 56.55/7.45 fof(f103,plain,( 56.55/7.45 ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) <=> cn2), 56.55/7.45 inference(rectify,[],[f17])). 56.55/7.45 fof(f17,axiom,( 56.55/7.45 ! [X3,X4] : is_a_theorem(implies(X3,implies(not(X3),X4))) <=> cn2), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn2)). 56.55/7.45 fof(f855,plain,( 56.55/7.45 ~spl94_36 | spl94_75), 56.55/7.45 inference(avatar_split_clause,[],[f384,f853,f675])). 56.55/7.45 fof(f675,plain,( 56.55/7.45 spl94_36 <=> substitution_strict_equiv), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_36])])). 56.55/7.45 fof(f384,plain,( 56.55/7.45 ( ! [X2,X3] : (X2 = X3 | ~is_a_theorem(strict_equiv(X2,X3)) | ~substitution_strict_equiv) )), 56.55/7.45 inference(cnf_transformation,[],[f175])). 56.55/7.45 fof(f175,plain,( 56.55/7.45 (substitution_strict_equiv | (sK17 != sK18 & is_a_theorem(strict_equiv(sK17,sK18)))) & (! [X2,X3] : (X2 = X3 | ~is_a_theorem(strict_equiv(X2,X3))) | ~substitution_strict_equiv)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f173,f174])). 56.55/7.45 fof(f174,plain,( 56.55/7.45 ? [X0,X1] : (X0 != X1 & is_a_theorem(strict_equiv(X0,X1))) => (sK17 != sK18 & is_a_theorem(strict_equiv(sK17,sK18)))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f173,plain,( 56.55/7.45 (substitution_strict_equiv | ? [X0,X1] : (X0 != X1 & is_a_theorem(strict_equiv(X0,X1)))) & (! [X2,X3] : (X2 = X3 | ~is_a_theorem(strict_equiv(X2,X3))) | ~substitution_strict_equiv)), 56.55/7.45 inference(rectify,[],[f172])). 56.55/7.45 fof(f172,plain,( 56.55/7.45 (substitution_strict_equiv | ? [X0,X1] : (X0 != X1 & is_a_theorem(strict_equiv(X0,X1)))) & (! [X0,X1] : (X0 = X1 | ~is_a_theorem(strict_equiv(X0,X1))) | ~substitution_strict_equiv)), 56.55/7.45 inference(nnf_transformation,[],[f115])). 56.55/7.45 fof(f115,plain,( 56.55/7.45 substitution_strict_equiv <=> ! [X0,X1] : (X0 = X1 | ~is_a_theorem(strict_equiv(X0,X1)))), 56.55/7.45 inference(ennf_transformation,[],[f55])). 56.55/7.45 fof(f55,axiom,( 56.55/7.45 substitution_strict_equiv <=> ! [X0,X1] : (is_a_theorem(strict_equiv(X0,X1)) => X0 = X1)), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution_strict_equiv)). 56.55/7.45 fof(f851,plain,( 56.55/7.45 ~spl94_74 | spl94_72), 56.55/7.45 inference(avatar_split_clause,[],[f377,f840,f848])). 56.55/7.45 fof(f840,plain,( 56.55/7.45 spl94_72 <=> axiom_m7), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_72])])). 56.55/7.45 fof(f377,plain,( 56.55/7.45 axiom_m7 | ~is_a_theorem(strict_implies(possibly(and(sK9,sK10)),sK9))), 56.55/7.45 inference(cnf_transformation,[],[f159])). 56.55/7.45 fof(f159,plain,( 56.55/7.45 (axiom_m7 | ~is_a_theorem(strict_implies(possibly(and(sK9,sK10)),sK9))) & (! [X2,X3] : is_a_theorem(strict_implies(possibly(and(X2,X3)),X2)) | ~axiom_m7)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f157,f158])). 56.55/7.45 fof(f158,plain,( 56.55/7.45 ? [X0,X1] : ~is_a_theorem(strict_implies(possibly(and(X0,X1)),X0)) => ~is_a_theorem(strict_implies(possibly(and(sK9,sK10)),sK9))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f157,plain,( 56.55/7.45 (axiom_m7 | ? [X0,X1] : ~is_a_theorem(strict_implies(possibly(and(X0,X1)),X0))) & (! [X2,X3] : is_a_theorem(strict_implies(possibly(and(X2,X3)),X2)) | ~axiom_m7)), 56.55/7.45 inference(rectify,[],[f156])). 56.55/7.45 fof(f156,plain,( 56.55/7.45 (axiom_m7 | ? [X0,X1] : ~is_a_theorem(strict_implies(possibly(and(X0,X1)),X0))) & (! [X0,X1] : is_a_theorem(strict_implies(possibly(and(X0,X1)),X0)) | ~axiom_m7)), 56.55/7.45 inference(nnf_transformation,[],[f95])). 56.55/7.45 fof(f95,plain,( 56.55/7.45 axiom_m7 <=> ! [X0,X1] : is_a_theorem(strict_implies(possibly(and(X0,X1)),X0))), 56.55/7.45 inference(rectify,[],[f50])). 56.55/7.45 fof(f50,axiom,( 56.55/7.45 axiom_m7 <=> ! [X3,X4] : is_a_theorem(strict_implies(possibly(and(X3,X4)),X3))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m7)). 56.55/7.45 fof(f846,plain,( 56.55/7.45 ~spl94_72 | spl94_73), 56.55/7.45 inference(avatar_split_clause,[],[f376,f844,f840])). 56.55/7.45 fof(f844,plain,( 56.55/7.45 spl94_73 <=> ! [X2,X3] : is_a_theorem(strict_implies(possibly(and(X2,X3)),X2))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_73])])). 56.55/7.45 fof(f376,plain,( 56.55/7.45 ( ! [X2,X3] : (is_a_theorem(strict_implies(possibly(and(X2,X3)),X2)) | ~axiom_m7) )), 56.55/7.45 inference(cnf_transformation,[],[f159])). 56.55/7.45 fof(f838,plain,( 56.55/7.45 ~spl94_71 | spl94_69), 56.55/7.45 inference(avatar_split_clause,[],[f373,f827,f835])). 56.55/7.45 fof(f827,plain,( 56.55/7.45 spl94_69 <=> cn3), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_69])])). 56.55/7.45 fof(f373,plain,( 56.55/7.45 cn3 | ~is_a_theorem(implies(implies(not(sK6),sK6),sK6))), 56.55/7.45 inference(cnf_transformation,[],[f151])). 56.55/7.45 fof(f151,plain,( 56.55/7.45 (cn3 | ~is_a_theorem(implies(implies(not(sK6),sK6),sK6))) & (! [X1] : is_a_theorem(implies(implies(not(X1),X1),X1)) | ~cn3)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f149,f150])). 56.55/7.45 fof(f150,plain,( 56.55/7.45 ? [X0] : ~is_a_theorem(implies(implies(not(X0),X0),X0)) => ~is_a_theorem(implies(implies(not(sK6),sK6),sK6))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f149,plain,( 56.55/7.45 (cn3 | ? [X0] : ~is_a_theorem(implies(implies(not(X0),X0),X0))) & (! [X1] : is_a_theorem(implies(implies(not(X1),X1),X1)) | ~cn3)), 56.55/7.45 inference(rectify,[],[f148])). 56.55/7.45 fof(f148,plain,( 56.55/7.45 (cn3 | ? [X0] : ~is_a_theorem(implies(implies(not(X0),X0),X0))) & (! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) | ~cn3)), 56.55/7.45 inference(nnf_transformation,[],[f93])). 56.55/7.45 fof(f93,plain,( 56.55/7.45 cn3 <=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))), 56.55/7.45 inference(rectify,[],[f10])). 56.55/7.45 fof(f10,axiom,( 56.55/7.45 cn3 <=> ! [X3] : is_a_theorem(implies(implies(not(X3),X3),X3))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn3)). 56.55/7.45 fof(f833,plain,( 56.55/7.45 ~spl94_69 | spl94_70), 56.55/7.45 inference(avatar_split_clause,[],[f372,f831,f827])). 56.55/7.45 fof(f372,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(implies(implies(not(X1),X1),X1)) | ~cn3) )), 56.55/7.45 inference(cnf_transformation,[],[f151])). 56.55/7.45 fof(f825,plain,( 56.55/7.45 ~spl94_68 | spl94_66), 56.55/7.45 inference(avatar_split_clause,[],[f371,f814,f822])). 56.55/7.45 fof(f814,plain,( 56.55/7.45 spl94_66 <=> axiom_5), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_66])])). 56.55/7.45 fof(f371,plain,( 56.55/7.45 axiom_5 | ~is_a_theorem(implies(possibly(sK5),necessarily(possibly(sK5))))), 56.55/7.45 inference(cnf_transformation,[],[f147])). 56.55/7.45 fof(f147,plain,( 56.55/7.45 (axiom_5 | ~is_a_theorem(implies(possibly(sK5),necessarily(possibly(sK5))))) & (! [X1] : is_a_theorem(implies(possibly(X1),necessarily(possibly(X1)))) | ~axiom_5)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f145,f146])). 56.55/7.45 fof(f146,plain,( 56.55/7.45 ? [X0] : ~is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) => ~is_a_theorem(implies(possibly(sK5),necessarily(possibly(sK5))))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f145,plain,( 56.55/7.45 (axiom_5 | ? [X0] : ~is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))) & (! [X1] : is_a_theorem(implies(possibly(X1),necessarily(possibly(X1)))) | ~axiom_5)), 56.55/7.45 inference(rectify,[],[f144])). 56.55/7.45 fof(f144,plain,( 56.55/7.45 (axiom_5 | ? [X0] : ~is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))) & (! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) | ~axiom_5)), 56.55/7.45 inference(nnf_transformation,[],[f58])). 56.55/7.45 fof(f58,axiom,( 56.55/7.45 axiom_5 <=> ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5)). 56.55/7.45 fof(f820,plain,( 56.55/7.45 ~spl94_66 | spl94_67), 56.55/7.45 inference(avatar_split_clause,[],[f370,f818,f814])). 56.55/7.45 fof(f370,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(implies(possibly(X1),necessarily(possibly(X1)))) | ~axiom_5) )), 56.55/7.45 inference(cnf_transformation,[],[f147])). 56.55/7.45 fof(f812,plain,( 56.55/7.45 ~spl94_65 | spl94_63), 56.55/7.45 inference(avatar_split_clause,[],[f369,f801,f809])). 56.55/7.45 fof(f801,plain,( 56.55/7.45 spl94_63 <=> axiom_m9), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_63])])). 56.55/7.45 fof(f369,plain,( 56.55/7.45 axiom_m9 | ~is_a_theorem(strict_implies(possibly(possibly(sK4)),possibly(sK4)))), 56.55/7.45 inference(cnf_transformation,[],[f143])). 56.55/7.45 fof(f143,plain,( 56.55/7.45 (axiom_m9 | ~is_a_theorem(strict_implies(possibly(possibly(sK4)),possibly(sK4)))) & (! [X1] : is_a_theorem(strict_implies(possibly(possibly(X1)),possibly(X1))) | ~axiom_m9)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f141,f142])). 56.55/7.45 fof(f142,plain,( 56.55/7.45 ? [X0] : ~is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0))) => ~is_a_theorem(strict_implies(possibly(possibly(sK4)),possibly(sK4)))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f141,plain,( 56.55/7.45 (axiom_m9 | ? [X0] : ~is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0)))) & (! [X1] : is_a_theorem(strict_implies(possibly(possibly(X1)),possibly(X1))) | ~axiom_m9)), 56.55/7.45 inference(rectify,[],[f140])). 56.55/7.45 fof(f140,plain,( 56.55/7.45 (axiom_m9 | ? [X0] : ~is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0)))) & (! [X0] : is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0))) | ~axiom_m9)), 56.55/7.45 inference(nnf_transformation,[],[f68])). 56.55/7.45 fof(f68,axiom,( 56.55/7.45 axiom_m9 <=> ! [X0] : is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0)))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m9)). 56.55/7.45 fof(f807,plain,( 56.55/7.45 ~spl94_63 | spl94_64), 56.55/7.45 inference(avatar_split_clause,[],[f368,f805,f801])). 56.55/7.45 fof(f805,plain,( 56.55/7.45 spl94_64 <=> ! [X1] : is_a_theorem(strict_implies(possibly(possibly(X1)),possibly(X1)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_64])])). 56.55/7.45 fof(f368,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(strict_implies(possibly(possibly(X1)),possibly(X1))) | ~axiom_m9) )), 56.55/7.45 inference(cnf_transformation,[],[f143])). 56.55/7.45 fof(f799,plain,( 56.55/7.45 ~spl94_62 | spl94_60), 56.55/7.45 inference(avatar_split_clause,[],[f367,f788,f796])). 56.55/7.45 fof(f788,plain,( 56.55/7.45 spl94_60 <=> axiom_s4), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_60])])). 56.55/7.45 fof(f367,plain,( 56.55/7.45 axiom_s4 | ~is_a_theorem(strict_implies(necessarily(sK3),necessarily(necessarily(sK3))))), 56.55/7.45 inference(cnf_transformation,[],[f139])). 56.55/7.45 fof(f139,plain,( 56.55/7.45 (axiom_s4 | ~is_a_theorem(strict_implies(necessarily(sK3),necessarily(necessarily(sK3))))) & (! [X1] : is_a_theorem(strict_implies(necessarily(X1),necessarily(necessarily(X1)))) | ~axiom_s4)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f137,f138])). 56.55/7.45 fof(f138,plain,( 56.55/7.45 ? [X0] : ~is_a_theorem(strict_implies(necessarily(X0),necessarily(necessarily(X0)))) => ~is_a_theorem(strict_implies(necessarily(sK3),necessarily(necessarily(sK3))))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f137,plain,( 56.55/7.45 (axiom_s4 | ? [X0] : ~is_a_theorem(strict_implies(necessarily(X0),necessarily(necessarily(X0))))) & (! [X1] : is_a_theorem(strict_implies(necessarily(X1),necessarily(necessarily(X1)))) | ~axiom_s4)), 56.55/7.45 inference(rectify,[],[f136])). 56.55/7.45 fof(f136,plain,( 56.55/7.45 (axiom_s4 | ? [X0] : ~is_a_theorem(strict_implies(necessarily(X0),necessarily(necessarily(X0))))) & (! [X0] : is_a_theorem(strict_implies(necessarily(X0),necessarily(necessarily(X0)))) | ~axiom_s4)), 56.55/7.45 inference(nnf_transformation,[],[f59])). 56.55/7.45 fof(f59,axiom,( 56.55/7.45 axiom_s4 <=> ! [X0] : is_a_theorem(strict_implies(necessarily(X0),necessarily(necessarily(X0))))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_s4)). 56.55/7.45 fof(f794,plain,( 56.55/7.45 ~spl94_60 | spl94_61), 56.55/7.45 inference(avatar_split_clause,[],[f366,f792,f788])). 56.55/7.45 fof(f366,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(strict_implies(necessarily(X1),necessarily(necessarily(X1)))) | ~axiom_s4) )), 56.55/7.45 inference(cnf_transformation,[],[f139])). 56.55/7.45 fof(f786,plain,( 56.55/7.45 ~spl94_59 | spl94_57), 56.55/7.45 inference(avatar_split_clause,[],[f365,f775,f783])). 56.55/7.45 fof(f775,plain,( 56.55/7.45 spl94_57 <=> axiom_m10), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_57])])). 56.55/7.45 fof(f365,plain,( 56.55/7.45 axiom_m10 | ~is_a_theorem(strict_implies(possibly(sK2),necessarily(possibly(sK2))))), 56.55/7.45 inference(cnf_transformation,[],[f135])). 56.55/7.45 fof(f135,plain,( 56.55/7.45 (axiom_m10 | ~is_a_theorem(strict_implies(possibly(sK2),necessarily(possibly(sK2))))) & (! [X1] : is_a_theorem(strict_implies(possibly(X1),necessarily(possibly(X1)))) | ~axiom_m10)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f133,f134])). 56.55/7.45 fof(f134,plain,( 56.55/7.45 ? [X0] : ~is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))) => ~is_a_theorem(strict_implies(possibly(sK2),necessarily(possibly(sK2))))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f133,plain,( 56.55/7.45 (axiom_m10 | ? [X0] : ~is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))) & (! [X1] : is_a_theorem(strict_implies(possibly(X1),necessarily(possibly(X1)))) | ~axiom_m10)), 56.55/7.45 inference(rectify,[],[f132])). 56.55/7.45 fof(f132,plain,( 56.55/7.45 (axiom_m10 | ? [X0] : ~is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))) & (! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))) | ~axiom_m10)), 56.55/7.45 inference(nnf_transformation,[],[f72])). 56.55/7.45 fof(f72,axiom,( 56.55/7.45 axiom_m10 <=> ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m10)). 56.55/7.45 fof(f781,plain,( 56.55/7.45 ~spl94_57 | spl94_58), 56.55/7.45 inference(avatar_split_clause,[],[f364,f779,f775])). 56.55/7.45 fof(f364,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(strict_implies(possibly(X1),necessarily(possibly(X1)))) | ~axiom_m10) )), 56.55/7.45 inference(cnf_transformation,[],[f135])). 56.55/7.45 fof(f773,plain,( 56.55/7.45 ~spl94_55 | spl94_56), 56.55/7.45 inference(avatar_split_clause,[],[f351,f771,f767])). 56.55/7.45 fof(f767,plain,( 56.55/7.45 spl94_55 <=> op_necessarily), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_55])])). 56.55/7.45 fof(f771,plain,( 56.55/7.45 spl94_56 <=> ! [X0] : necessarily(X0) = not(possibly(not(X0)))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_56])])). 56.55/7.45 fof(f351,plain,( 56.55/7.45 ( ! [X0] : (necessarily(X0) = not(possibly(not(X0))) | ~op_necessarily) )), 56.55/7.45 inference(cnf_transformation,[],[f106])). 56.55/7.45 fof(f106,plain,( 56.55/7.45 ! [X0] : necessarily(X0) = not(possibly(not(X0))) | ~op_necessarily), 56.55/7.45 inference(ennf_transformation,[],[f75])). 56.55/7.45 fof(f75,axiom,( 56.55/7.45 op_necessarily => ! [X0] : necessarily(X0) = not(possibly(not(X0)))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_necessarily)). 56.55/7.45 fof(f765,plain,( 56.55/7.45 ~spl94_54 | spl94_35), 56.55/7.45 inference(avatar_split_clause,[],[f750,f671,f762])). 56.55/7.45 fof(f750,plain,( 56.55/7.45 ~is_a_theorem(equiv(sK18,sK17)) | spl94_35), 56.55/7.45 inference(extensionality_resolution,[],[f488,f673])). 56.55/7.45 fof(f760,plain,( 56.55/7.45 ~spl94_53 | spl94_35), 56.55/7.45 inference(avatar_split_clause,[],[f749,f671,f757])). 56.55/7.45 fof(f749,plain,( 56.55/7.45 ~is_a_theorem(equiv(sK17,sK18)) | spl94_35), 56.55/7.45 inference(extensionality_resolution,[],[f488,f673])). 56.55/7.45 fof(f755,plain,( 56.55/7.45 ~spl94_52), 56.55/7.45 inference(avatar_split_clause,[],[f495,f752])). 56.55/7.45 fof(f495,plain,( 56.55/7.45 ~is_a_theorem(strict_implies(and(sK70,sK71),and(sK71,sK70)))), 56.55/7.45 inference(subsumption_resolution,[],[f445,f320])). 56.55/7.45 fof(f320,plain,( 56.55/7.45 ~axiom_m1), 56.55/7.45 inference(cnf_transformation,[],[f91])). 56.55/7.45 fof(f91,plain,( 56.55/7.45 ~axiom_m1), 56.55/7.45 inference(flattening,[],[f85])). 56.55/7.45 fof(f85,negated_conjecture,( 56.55/7.45 ~axiom_m1), 56.55/7.45 inference(negated_conjecture,[],[f84])). 56.55/7.45 fof(f84,conjecture,( 56.55/7.45 axiom_m1), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m1)). 56.55/7.45 fof(f445,plain,( 56.55/7.45 axiom_m1 | ~is_a_theorem(strict_implies(and(sK70,sK71),and(sK71,sK70)))), 56.55/7.45 inference(cnf_transformation,[],[f283])). 56.55/7.45 fof(f283,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) | ~axiom_m1) & (axiom_m1 | ~is_a_theorem(strict_implies(and(sK70,sK71),and(sK71,sK70))))), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK70,sK71])],[f281,f282])). 56.55/7.45 fof(f282,plain,( 56.55/7.45 ? [X2,X3] : ~is_a_theorem(strict_implies(and(X2,X3),and(X3,X2))) => ~is_a_theorem(strict_implies(and(sK70,sK71),and(sK71,sK70)))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f281,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) | ~axiom_m1) & (axiom_m1 | ? [X2,X3] : ~is_a_theorem(strict_implies(and(X2,X3),and(X3,X2))))), 56.55/7.45 inference(rectify,[],[f280])). 56.55/7.45 fof(f280,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) | ~axiom_m1) & (axiom_m1 | ? [X0,X1] : ~is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))))), 56.55/7.45 inference(nnf_transformation,[],[f54])). 56.55/7.45 fof(f54,axiom,( 56.55/7.45 ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) <=> axiom_m1), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m1)). 56.55/7.45 fof(f747,plain,( 56.55/7.45 ~spl94_50 | spl94_51), 56.55/7.45 inference(avatar_split_clause,[],[f435,f744,f740])). 56.55/7.45 fof(f744,plain,( 56.55/7.45 spl94_51 <=> axiom_m2), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_51])])). 56.55/7.45 fof(f435,plain,( 56.55/7.45 axiom_m2 | ~is_a_theorem(strict_implies(and(sK60,sK61),sK60))), 56.55/7.45 inference(cnf_transformation,[],[f263])). 56.55/7.45 fof(f263,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) | ~axiom_m2) & (axiom_m2 | ~is_a_theorem(strict_implies(and(sK60,sK61),sK60)))), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK60,sK61])],[f261,f262])). 56.55/7.45 fof(f262,plain,( 56.55/7.45 ? [X2,X3] : ~is_a_theorem(strict_implies(and(X2,X3),X2)) => ~is_a_theorem(strict_implies(and(sK60,sK61),sK60))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f261,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) | ~axiom_m2) & (axiom_m2 | ? [X2,X3] : ~is_a_theorem(strict_implies(and(X2,X3),X2)))), 56.55/7.45 inference(rectify,[],[f260])). 56.55/7.45 fof(f260,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) | ~axiom_m2) & (axiom_m2 | ? [X0,X1] : ~is_a_theorem(strict_implies(and(X0,X1),X0)))), 56.55/7.45 inference(nnf_transformation,[],[f61])). 56.55/7.45 fof(f61,axiom,( 56.55/7.45 ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) <=> axiom_m2), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m2)). 56.55/7.45 fof(f738,plain,( 56.55/7.45 ~spl94_48 | spl94_49), 56.55/7.45 inference(avatar_split_clause,[],[f430,f735,f731])). 56.55/7.45 fof(f430,plain,( 56.55/7.45 kn1 | ~is_a_theorem(implies(sK58,and(sK58,sK58)))), 56.55/7.45 inference(cnf_transformation,[],[f255])). 56.55/7.45 fof(f729,plain,( 56.55/7.45 spl94_46), 56.55/7.45 inference(avatar_contradiction_clause,[],[f728])). 56.55/7.45 fof(f728,plain,( 56.55/7.45 $false | spl94_46), 56.55/7.45 inference(subsumption_resolution,[],[f722,f483])). 56.55/7.45 fof(f722,plain,( 56.55/7.45 ~is_a_theorem(implies(and(sK7,sK8),sK7)) | spl94_46), 56.55/7.45 inference(avatar_component_clause,[],[f720])). 56.55/7.45 fof(f720,plain,( 56.55/7.45 spl94_46 <=> is_a_theorem(implies(and(sK7,sK8),sK7))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_46])])). 56.55/7.45 fof(f727,plain,( 56.55/7.45 ~spl94_46 | spl94_47), 56.55/7.45 inference(avatar_split_clause,[],[f375,f724,f720])). 56.55/7.45 fof(f724,plain,( 56.55/7.45 spl94_47 <=> kn2), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_47])])). 56.55/7.45 fof(f375,plain,( 56.55/7.45 kn2 | ~is_a_theorem(implies(and(sK7,sK8),sK7))), 56.55/7.45 inference(cnf_transformation,[],[f155])). 56.55/7.45 fof(f155,plain,( 56.55/7.45 (kn2 | ~is_a_theorem(implies(and(sK7,sK8),sK7))) & (! [X2,X3] : is_a_theorem(implies(and(X2,X3),X2)) | ~kn2)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f153,f154])). 56.55/7.45 fof(f154,plain,( 56.55/7.45 ? [X0,X1] : ~is_a_theorem(implies(and(X0,X1),X0)) => ~is_a_theorem(implies(and(sK7,sK8),sK7))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f153,plain,( 56.55/7.45 (kn2 | ? [X0,X1] : ~is_a_theorem(implies(and(X0,X1),X0))) & (! [X2,X3] : is_a_theorem(implies(and(X2,X3),X2)) | ~kn2)), 56.55/7.45 inference(rectify,[],[f152])). 56.55/7.45 fof(f152,plain,( 56.55/7.45 (kn2 | ? [X0,X1] : ~is_a_theorem(implies(and(X0,X1),X0))) & (! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) | ~kn2)), 56.55/7.45 inference(nnf_transformation,[],[f94])). 56.55/7.45 fof(f94,plain,( 56.55/7.45 kn2 <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))), 56.55/7.45 inference(rectify,[],[f7])). 56.55/7.45 fof(f7,axiom,( 56.55/7.45 kn2 <=> ! [X3,X4] : is_a_theorem(implies(and(X3,X4),X3))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',kn2)). 56.55/7.45 fof(f718,plain,( 56.55/7.45 ~spl94_45 | spl94_43), 56.55/7.45 inference(avatar_split_clause,[],[f363,f707,f715])). 56.55/7.45 fof(f707,plain,( 56.55/7.45 spl94_43 <=> r1), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_43])])). 56.55/7.45 fof(f363,plain,( 56.55/7.45 r1 | ~is_a_theorem(implies(or(sK1,sK1),sK1))), 56.55/7.45 inference(cnf_transformation,[],[f131])). 56.55/7.45 fof(f131,plain,( 56.55/7.45 (r1 | ~is_a_theorem(implies(or(sK1,sK1),sK1))) & (! [X1] : is_a_theorem(implies(or(X1,X1),X1)) | ~r1)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f129,f130])). 56.55/7.45 fof(f130,plain,( 56.55/7.45 ? [X0] : ~is_a_theorem(implies(or(X0,X0),X0)) => ~is_a_theorem(implies(or(sK1,sK1),sK1))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f129,plain,( 56.55/7.45 (r1 | ? [X0] : ~is_a_theorem(implies(or(X0,X0),X0))) & (! [X1] : is_a_theorem(implies(or(X1,X1),X1)) | ~r1)), 56.55/7.45 inference(rectify,[],[f128])). 56.55/7.45 fof(f128,plain,( 56.55/7.45 (r1 | ? [X0] : ~is_a_theorem(implies(or(X0,X0),X0))) & (! [X0] : is_a_theorem(implies(or(X0,X0),X0)) | ~r1)), 56.55/7.45 inference(nnf_transformation,[],[f92])). 56.55/7.45 fof(f92,plain,( 56.55/7.45 r1 <=> ! [X0] : is_a_theorem(implies(or(X0,X0),X0))), 56.55/7.45 inference(rectify,[],[f19])). 56.55/7.45 fof(f19,axiom,( 56.55/7.45 r1 <=> ! [X3] : is_a_theorem(implies(or(X3,X3),X3))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',r1)). 56.55/7.45 fof(f713,plain,( 56.55/7.45 ~spl94_43 | spl94_44), 56.55/7.45 inference(avatar_split_clause,[],[f362,f711,f707])). 56.55/7.45 fof(f711,plain,( 56.55/7.45 spl94_44 <=> ! [X1] : is_a_theorem(implies(or(X1,X1),X1))), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_44])])). 56.55/7.45 fof(f362,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(implies(or(X1,X1),X1)) | ~r1) )), 56.55/7.45 inference(cnf_transformation,[],[f131])). 56.55/7.45 fof(f705,plain,( 56.55/7.45 ~spl94_42 | spl94_40), 56.55/7.45 inference(avatar_split_clause,[],[f361,f694,f702])). 56.55/7.45 fof(f694,plain,( 56.55/7.45 spl94_40 <=> axiom_m4), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_40])])). 56.55/7.45 fof(f361,plain,( 56.55/7.45 axiom_m4 | ~is_a_theorem(strict_implies(sK0,and(sK0,sK0)))), 56.55/7.45 inference(cnf_transformation,[],[f127])). 56.55/7.45 fof(f127,plain,( 56.55/7.45 (axiom_m4 | ~is_a_theorem(strict_implies(sK0,and(sK0,sK0)))) & (! [X1] : is_a_theorem(strict_implies(X1,and(X1,X1))) | ~axiom_m4)), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f125,f126])). 56.55/7.45 fof(f126,plain,( 56.55/7.45 ? [X0] : ~is_a_theorem(strict_implies(X0,and(X0,X0))) => ~is_a_theorem(strict_implies(sK0,and(sK0,sK0)))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f125,plain,( 56.55/7.45 (axiom_m4 | ? [X0] : ~is_a_theorem(strict_implies(X0,and(X0,X0)))) & (! [X1] : is_a_theorem(strict_implies(X1,and(X1,X1))) | ~axiom_m4)), 56.55/7.45 inference(rectify,[],[f124])). 56.55/7.45 fof(f124,plain,( 56.55/7.45 (axiom_m4 | ? [X0] : ~is_a_theorem(strict_implies(X0,and(X0,X0)))) & (! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))) | ~axiom_m4)), 56.55/7.45 inference(nnf_transformation,[],[f52])). 56.55/7.45 fof(f52,axiom,( 56.55/7.45 axiom_m4 <=> ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0)))), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m4)). 56.55/7.45 fof(f700,plain,( 56.55/7.45 ~spl94_40 | spl94_41), 56.55/7.45 inference(avatar_split_clause,[],[f360,f698,f694])). 56.55/7.45 fof(f360,plain,( 56.55/7.45 ( ! [X1] : (is_a_theorem(strict_implies(X1,and(X1,X1))) | ~axiom_m4) )), 56.55/7.45 inference(cnf_transformation,[],[f127])). 56.55/7.45 fof(f692,plain,( 56.55/7.45 ~spl94_38 | spl94_39), 56.55/7.45 inference(avatar_split_clause,[],[f426,f689,f685])). 56.55/7.45 fof(f689,plain,( 56.55/7.45 spl94_39 <=> axiom_m6), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_39])])). 56.55/7.45 fof(f426,plain,( 56.55/7.45 axiom_m6 | ~is_a_theorem(strict_implies(sK56,possibly(sK56)))), 56.55/7.45 inference(cnf_transformation,[],[f247])). 56.55/7.45 fof(f247,plain,( 56.55/7.45 (! [X0] : is_a_theorem(strict_implies(X0,possibly(X0))) | ~axiom_m6) & (axiom_m6 | ~is_a_theorem(strict_implies(sK56,possibly(sK56))))), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f245,f246])). 56.55/7.45 fof(f246,plain,( 56.55/7.45 ? [X1] : ~is_a_theorem(strict_implies(X1,possibly(X1))) => ~is_a_theorem(strict_implies(sK56,possibly(sK56)))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f245,plain,( 56.55/7.45 (! [X0] : is_a_theorem(strict_implies(X0,possibly(X0))) | ~axiom_m6) & (axiom_m6 | ? [X1] : ~is_a_theorem(strict_implies(X1,possibly(X1))))), 56.55/7.45 inference(rectify,[],[f244])). 56.55/7.45 fof(f244,plain,( 56.55/7.45 (! [X0] : is_a_theorem(strict_implies(X0,possibly(X0))) | ~axiom_m6) & (axiom_m6 | ? [X0] : ~is_a_theorem(strict_implies(X0,possibly(X0))))), 56.55/7.45 inference(nnf_transformation,[],[f60])). 56.55/7.45 fof(f60,axiom,( 56.55/7.45 ! [X0] : is_a_theorem(strict_implies(X0,possibly(X0))) <=> axiom_m6), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m6)). 56.55/7.45 fof(f683,plain,( 56.55/7.45 spl94_37 | spl94_36), 56.55/7.45 inference(avatar_split_clause,[],[f385,f675,f680])). 56.55/7.45 fof(f385,plain,( 56.55/7.45 substitution_strict_equiv | is_a_theorem(strict_equiv(sK17,sK18))), 56.55/7.45 inference(cnf_transformation,[],[f175])). 56.55/7.45 fof(f678,plain,( 56.55/7.45 ~spl94_35 | spl94_36), 56.55/7.45 inference(avatar_split_clause,[],[f386,f675,f671])). 56.55/7.45 fof(f386,plain,( 56.55/7.45 substitution_strict_equiv | sK17 != sK18), 56.55/7.45 inference(cnf_transformation,[],[f175])). 56.55/7.45 fof(f669,plain,( 56.55/7.45 spl94_33 | spl94_34), 56.55/7.45 inference(avatar_split_clause,[],[f456,f666,f662])). 56.55/7.45 fof(f456,plain,( 56.55/7.45 modus_ponens_strict_implies | is_a_theorem(sK80)), 56.55/7.45 inference(cnf_transformation,[],[f303])). 56.55/7.45 fof(f660,plain,( 56.55/7.45 spl94_32 | spl94_31), 56.55/7.45 inference(avatar_split_clause,[],[f389,f652,f657])). 56.55/7.45 fof(f389,plain,( 56.55/7.45 adjunction | is_a_theorem(sK20)), 56.55/7.45 inference(cnf_transformation,[],[f179])). 56.55/7.45 fof(f655,plain,( 56.55/7.45 spl94_30 | spl94_31), 56.55/7.45 inference(avatar_split_clause,[],[f388,f652,f648])). 56.55/7.45 fof(f388,plain,( 56.55/7.45 adjunction | is_a_theorem(sK19)), 56.55/7.45 inference(cnf_transformation,[],[f179])). 56.55/7.45 fof(f646,plain,( 56.55/7.45 spl94_29), 56.55/7.45 inference(avatar_split_clause,[],[f492,f643])). 56.55/7.45 fof(f643,plain,( 56.55/7.45 spl94_29 <=> r2), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_29])])). 56.55/7.45 fof(f492,plain,( 56.55/7.45 r2), 56.55/7.45 inference(subsumption_resolution,[],[f437,f481])). 56.55/7.45 fof(f437,plain,( 56.55/7.45 r2 | ~is_a_theorem(implies(sK63,or(sK62,sK63)))), 56.55/7.45 inference(cnf_transformation,[],[f267])). 56.55/7.45 fof(f267,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) | ~r2) & (r2 | ~is_a_theorem(implies(sK63,or(sK62,sK63))))), 56.55/7.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK62,sK63])],[f265,f266])). 56.55/7.45 fof(f266,plain,( 56.55/7.45 ? [X2,X3] : ~is_a_theorem(implies(X3,or(X2,X3))) => ~is_a_theorem(implies(sK63,or(sK62,sK63)))), 56.55/7.45 introduced(choice_axiom,[])). 56.55/7.45 fof(f265,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) | ~r2) & (r2 | ? [X2,X3] : ~is_a_theorem(implies(X3,or(X2,X3))))), 56.55/7.45 inference(rectify,[],[f264])). 56.55/7.45 fof(f264,plain,( 56.55/7.45 (! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) | ~r2) & (r2 | ? [X0,X1] : ~is_a_theorem(implies(X1,or(X0,X1))))), 56.55/7.45 inference(nnf_transformation,[],[f102])). 56.55/7.45 fof(f102,plain,( 56.55/7.45 ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) <=> r2), 56.55/7.45 inference(rectify,[],[f15])). 56.55/7.45 fof(f15,axiom,( 56.55/7.45 ! [X3,X4] : is_a_theorem(implies(X4,or(X3,X4))) <=> r2), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2)). 56.55/7.45 fof(f641,plain,( 56.55/7.45 spl94_28), 56.55/7.45 inference(avatar_split_clause,[],[f348,f638])). 56.55/7.45 fof(f638,plain,( 56.55/7.45 spl94_28 <=> op_or), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_28])])). 56.55/7.45 fof(f636,plain,( 56.55/7.45 spl94_27), 56.55/7.45 inference(avatar_split_clause,[],[f346,f633])). 56.55/7.45 fof(f633,plain,( 56.55/7.45 spl94_27 <=> op_equiv), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_27])])). 56.55/7.45 fof(f631,plain,( 56.55/7.45 spl94_26), 56.55/7.45 inference(avatar_split_clause,[],[f345,f628])). 56.55/7.45 fof(f628,plain,( 56.55/7.45 spl94_26 <=> op_possibly), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_26])])). 56.55/7.45 fof(f626,plain,( 56.55/7.45 spl94_25), 56.55/7.45 inference(avatar_split_clause,[],[f344,f623])). 56.55/7.45 fof(f623,plain,( 56.55/7.45 spl94_25 <=> op_strict_equiv), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_25])])). 56.55/7.45 fof(f621,plain,( 56.55/7.45 spl94_24), 56.55/7.45 inference(avatar_split_clause,[],[f343,f618])). 56.55/7.45 fof(f618,plain,( 56.55/7.45 spl94_24 <=> op_strict_implies), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_24])])). 56.55/7.45 fof(f616,plain,( 56.55/7.45 spl94_23), 56.55/7.45 inference(avatar_split_clause,[],[f342,f613])). 56.55/7.45 fof(f613,plain,( 56.55/7.45 spl94_23 <=> op_implies_and), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_23])])). 56.55/7.45 fof(f611,plain,( 56.55/7.45 spl94_22), 56.55/7.45 inference(avatar_split_clause,[],[f341,f608])). 56.55/7.45 fof(f608,plain,( 56.55/7.45 spl94_22 <=> modus_tollens), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_22])])). 56.55/7.45 fof(f606,plain,( 56.55/7.45 spl94_21), 56.55/7.45 inference(avatar_split_clause,[],[f340,f603])). 56.55/7.45 fof(f603,plain,( 56.55/7.45 spl94_21 <=> and_2), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_21])])). 56.55/7.45 fof(f601,plain,( 56.55/7.45 spl94_20), 56.55/7.45 inference(avatar_split_clause,[],[f339,f598])). 56.55/7.45 fof(f598,plain,( 56.55/7.45 spl94_20 <=> implies_2), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_20])])). 56.55/7.45 fof(f596,plain,( 56.55/7.45 spl94_19), 56.55/7.45 inference(avatar_split_clause,[],[f338,f593])). 56.55/7.45 fof(f593,plain,( 56.55/7.45 spl94_19 <=> implies_3), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_19])])). 56.55/7.45 fof(f591,plain,( 56.55/7.45 spl94_18), 56.55/7.45 inference(avatar_split_clause,[],[f337,f588])). 56.55/7.45 fof(f588,plain,( 56.55/7.45 spl94_18 <=> or_3), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_18])])). 56.55/7.45 fof(f586,plain,( 56.55/7.45 spl94_17), 56.55/7.45 inference(avatar_split_clause,[],[f336,f583])). 56.55/7.45 fof(f583,plain,( 56.55/7.45 spl94_17 <=> or_1), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_17])])). 56.55/7.45 fof(f581,plain,( 56.55/7.45 spl94_16), 56.55/7.45 inference(avatar_split_clause,[],[f335,f578])). 56.55/7.45 fof(f578,plain,( 56.55/7.45 spl94_16 <=> equivalence_3), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_16])])). 56.55/7.45 fof(f576,plain,( 56.55/7.45 spl94_15), 56.55/7.45 inference(avatar_split_clause,[],[f334,f573])). 56.55/7.45 fof(f573,plain,( 56.55/7.45 spl94_15 <=> and_3), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_15])])). 56.55/7.45 fof(f571,plain,( 56.55/7.45 spl94_14), 56.55/7.45 inference(avatar_split_clause,[],[f333,f568])). 56.55/7.45 fof(f568,plain,( 56.55/7.45 spl94_14 <=> modus_ponens), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_14])])). 56.55/7.45 fof(f566,plain,( 56.55/7.45 spl94_13), 56.55/7.45 inference(avatar_split_clause,[],[f332,f563])). 56.55/7.45 fof(f563,plain,( 56.55/7.45 spl94_13 <=> or_2), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_13])])). 56.55/7.45 fof(f561,plain,( 56.55/7.45 spl94_12), 56.55/7.45 inference(avatar_split_clause,[],[f331,f558])). 56.55/7.45 fof(f558,plain,( 56.55/7.45 spl94_12 <=> equivalence_2), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_12])])). 56.55/7.45 fof(f556,plain,( 56.55/7.45 spl94_11), 56.55/7.45 inference(avatar_split_clause,[],[f330,f553])). 56.55/7.45 fof(f553,plain,( 56.55/7.45 spl94_11 <=> equivalence_1), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_11])])). 56.55/7.45 fof(f330,plain,( 56.55/7.45 equivalence_1), 56.55/7.45 inference(cnf_transformation,[],[f44])). 56.55/7.45 fof(f44,axiom,( 56.55/7.45 equivalence_1), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_equivalence_1)). 56.55/7.45 fof(f551,plain,( 56.55/7.45 spl94_10), 56.55/7.45 inference(avatar_split_clause,[],[f329,f548])). 56.55/7.45 fof(f548,plain,( 56.55/7.45 spl94_10 <=> and_1), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_10])])). 56.55/7.45 fof(f546,plain,( 56.55/7.45 spl94_9), 56.55/7.45 inference(avatar_split_clause,[],[f328,f543])). 56.55/7.45 fof(f543,plain,( 56.55/7.45 spl94_9 <=> implies_1), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_9])])). 56.55/7.45 fof(f541,plain,( 56.55/7.45 spl94_8), 56.55/7.45 inference(avatar_split_clause,[],[f327,f538])). 56.55/7.45 fof(f538,plain,( 56.55/7.45 spl94_8 <=> substitution_of_equivalents), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_8])])). 56.55/7.45 fof(f536,plain,( 56.55/7.45 spl94_7), 56.55/7.45 inference(avatar_split_clause,[],[f326,f533])). 56.55/7.45 fof(f533,plain,( 56.55/7.45 spl94_7 <=> axiom_B), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_7])])). 56.55/7.45 fof(f531,plain,( 56.55/7.45 spl94_6), 56.55/7.45 inference(avatar_split_clause,[],[f325,f528])). 56.55/7.45 fof(f528,plain,( 56.55/7.45 spl94_6 <=> axiom_4), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_6])])). 56.55/7.45 fof(f526,plain,( 56.55/7.45 spl94_5), 56.55/7.45 inference(avatar_split_clause,[],[f324,f523])). 56.55/7.45 fof(f523,plain,( 56.55/7.45 spl94_5 <=> axiom_M), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_5])])). 56.55/7.45 fof(f521,plain,( 56.55/7.45 spl94_4), 56.55/7.45 inference(avatar_split_clause,[],[f323,f518])). 56.55/7.45 fof(f518,plain,( 56.55/7.45 spl94_4 <=> necessitation), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_4])])). 56.55/7.45 fof(f516,plain,( 56.55/7.45 spl94_3), 56.55/7.45 inference(avatar_split_clause,[],[f322,f513])). 56.55/7.45 fof(f513,plain,( 56.55/7.45 spl94_3 <=> axiom_K), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_3])])). 56.55/7.45 fof(f511,plain,( 56.55/7.45 spl94_2), 56.55/7.45 inference(avatar_split_clause,[],[f321,f508])). 56.55/7.45 fof(f508,plain,( 56.55/7.45 spl94_2 <=> op_implies), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_2])])). 56.55/7.45 fof(f321,plain,( 56.55/7.45 op_implies), 56.55/7.45 inference(cnf_transformation,[],[f88])). 56.55/7.45 fof(f88,axiom,( 56.55/7.45 op_implies), 56.55/7.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_implies)). 56.55/7.45 fof(f506,plain,( 56.55/7.45 ~spl94_1), 56.55/7.45 inference(avatar_split_clause,[],[f320,f503])). 56.55/7.45 fof(f503,plain,( 56.55/7.45 spl94_1 <=> axiom_m1), 56.55/7.45 introduced(avatar_definition,[new_symbols(naming,[spl94_1])])). 56.55/7.45 % SZS output end Proof for theBenchmark 56.55/7.45 % (6016)------------------------------ 56.55/7.45 % (6016)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 56.55/7.45 % (6016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 56.55/7.45 % (6016)Termination reason: Refutation 56.55/7.45 56.55/7.45 % (6016)Memory used [KB]: 44903 56.55/7.45 % (6016)Time elapsed: 5.047 s 56.55/7.45 % (6016)------------------------------ 56.55/7.45 % (6016)------------------------------ 56.55/7.45 % (5973)Success in time 7.112 s 56.55/7.45 EOF