0.08/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.10 % Command : run_vampire %s %d 0.09/0.30 % Computer : n003.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Thu Jul 2 09:08:16 EDT 2020 0.09/0.30 % CPUTime : 0.16/0.44 % (11686)dis+11_1_acc=on:afp=1000:afq=1.4:amm=sco:anc=all_dependent:bs=on:ccuc=small_ones:cond=fast:fde=none:gsp=input_only:nm=64:nwc=1:sac=on:urr=ec_only:updr=off:uhcvi=on_105 on theBenchmark 0.16/0.46 % (11688)dis+1002_6_add=large:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_7 on theBenchmark 0.16/0.46 % (11689)lrs+1_4:1_awrs=converge:awrsf=128:av=off:cond=fast:fde=none:gsp=input_only:gs=on:gsem=on:lcm=predicate:lwlo=on:nm=4:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:s2a=on:st=2.0:sos=on_27 on theBenchmark 0.16/0.46 % (11687)lrs+11_20_av=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=theory:sp=reverse_arity:uhcvi=on_92 on theBenchmark 0.16/0.46 % (11689)Refutation not found, incomplete strategy% (11689)------------------------------ 0.16/0.46 % (11689)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.16/0.46 % (11689)Termination reason: Refutation not found, incomplete strategy 0.16/0.46 0.16/0.46 % (11689)Memory used [KB]: 6140 0.16/0.46 % (11689)Time elapsed: 0.002 s 0.16/0.46 % (11689)------------------------------ 0.16/0.46 % (11689)------------------------------ 0.16/0.46 % (11690)lrs+1011_8_add=large:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark 0.16/0.46 % (11694)lrs+1_5:1_afr=on:afp=100000:afq=2.0:amm=off:anc=none:bd=off:fde=none:gs=on:gsaa=full_model:gsem=on:irw=on:lwlo=on:nm=0:nwc=2.5:stl=30:sp=occurrence:uhcvi=on_42 on theBenchmark 0.16/0.46 % (11697)ott-3_4:1_awrs=converge:awrsf=2:acc=model:add=large:afr=on:afp=40000:afq=1.2:anc=none:ccuc=small_ones:fde=unused:gsp=input_only:irw=on:nm=0:nwc=4:sd=4:ss=axioms:s2a=on:st=1.2:sos=on:urr=on:updr=off:uhcvi=on_2 on theBenchmark 0.16/0.46 % (11697)Refutation not found, incomplete strategy% (11697)------------------------------ 0.16/0.46 % (11697)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.16/0.46 % (11697)Termination reason: Refutation not found, incomplete strategy 0.16/0.46 0.16/0.46 % (11697)Memory used [KB]: 6140 0.16/0.46 % (11697)Time elapsed: 0.090 s 0.16/0.46 % (11697)------------------------------ 0.16/0.46 % (11697)------------------------------ 0.16/0.47 % (11691)lrs+4_3_av=off:br=off:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 0.16/0.47 % (11690)Refutation not found, incomplete strategy% (11690)------------------------------ 0.16/0.47 % (11690)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.16/0.47 % (11690)Termination reason: Refutation not found, incomplete strategy 0.16/0.47 0.16/0.47 % (11690)Memory used [KB]: 10618 0.16/0.47 % (11690)Time elapsed: 0.003 s 0.16/0.47 % (11690)------------------------------ 0.16/0.47 % (11690)------------------------------ 0.16/0.47 % (11704)dis+1010_5_add=large:afp=10000:afq=1.2:amm=off:bs=unit_only:bsr=on:bce=on:cond=fast:fsr=off:fde=none:gsp=input_only:gs=on:irw=on:lma=on:nm=4:newcnf=on:nwc=1.3:nicw=on:sos=all:sac=on:updr=off_34 on theBenchmark 0.16/0.47 % (11706)lrs+3_64_add=large:afp=40000:afq=1.4:anc=none:bd=preordered:bsr=on:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:lcm=predicate:lma=on:lwlo=on:nm=16:newcnf=on:nwc=1.2:stl=90:sos=theory_285 on theBenchmark 0.16/0.47 % (11707)ott+11_8:1_acc=model:afp=1000:afq=1.0:anc=none:bd=off:bsr=on:cond=on:gs=on:gsem=off:irw=on:lma=on:nm=16:nwc=1.5:sac=on:sp=occurrence:urr=on_104 on theBenchmark 0.16/0.47 % (11705)dis+11_1024_av=off:bd=off:bs=on:cond=on:gs=on:lma=on:nm=16:nwc=1:sp=occurrence:updr=off_98 on theBenchmark 0.16/0.48 % (11695)lrs+1011_2:3_add=large:afr=on:afp=100000:afq=1.2:anc=none:gs=on:gsem=off:irw=on:nm=64:nwc=1:stl=30:sd=3:ss=axioms:sos=all:sp=reverse_arity_48 on theBenchmark 0.16/0.48 % (11684)dis+10_1_add=off:afp=4000:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_2 on theBenchmark 0.16/0.48 % (11695)Refutation not found, incomplete strategy% (11695)------------------------------ 0.16/0.48 % (11695)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.16/0.48 % (11695)Termination reason: Refutation not found, incomplete strategy 0.16/0.48 0.16/0.48 % (11695)Memory used [KB]: 10618 0.16/0.48 % (11695)Time elapsed: 0.002 s 0.16/0.48 % (11695)------------------------------ 0.16/0.48 % (11695)------------------------------ 0.16/0.48 % (11684)Refutation not found, incomplete strategy% (11684)------------------------------ 0.16/0.48 % (11684)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.16/0.48 % (11684)Termination reason: Refutation not found, incomplete strategy 0.16/0.48 0.16/0.48 % (11684)Memory used [KB]: 10618 0.16/0.48 % (11684)Time elapsed: 0.002 s 0.16/0.48 % (11684)------------------------------ 0.16/0.48 % (11684)------------------------------ 0.16/0.48 % (11703)lrs+4_24_av=off:bd=preordered:bsr=on:irw=on:lma=on:lwlo=on:nm=64:newcnf=on:nwc=1.1:stl=30:sos=theory:updr=off:uhcvi=on_220 on theBenchmark 0.16/0.48 % (11698)dis+1011_3_awrs=decay:awrsf=32:afp=10000:afq=1.1:amm=off:anc=none:cond=fast:ep=RSTC:fde=unused:lma=on:nm=16:nwc=2.5:s2a=on:sac=on:sp=frequency:urr=ec_only_2 on theBenchmark 0.16/0.48 % (11699)lrs-2_6_acc=on:afp=40000:afq=1.2:amm=sco:anc=none:bs=on:bsr=on:cond=on:fsr=off:fde=none:lcm=reverse:lma=on:nm=32:newcnf=on:nwc=2.5:nicw=on:stl=30:sp=reverse_arity:urr=ec_only_162 on theBenchmark 0.16/0.48 % (11696)ott+4_32_av=off:bsr=on:cond=on:er=known:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lma=on:nm=4:nwc=1.2:sos=theory_197 on theBenchmark 0.16/0.49 % (11702)dis+1010_3:1_av=off:gsp=input_only:nm=6:nwc=1:sos=all:sp=occurrence_48 on theBenchmark 0.16/0.50 % (11685)dis+10_3_add=large:afp=10000:afq=1.0:amm=sco:anc=none:gsp=input_only:gs=on:gsem=off:lcm=reverse:nwc=1:sos=on_6 on theBenchmark 0.16/0.50 % (11685)Refutation not found, incomplete strategy% (11685)------------------------------ 0.16/0.50 % (11685)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.16/0.50 % (11685)Termination reason: Refutation not found, incomplete strategy 0.16/0.50 0.16/0.50 % (11685)Memory used [KB]: 10618 0.16/0.50 % (11685)Time elapsed: 0.130 s 0.16/0.50 % (11685)------------------------------ 0.16/0.50 % (11685)------------------------------ 0.16/0.52 % (11693)lrs+1002_4:1_aac=none:add=off:afr=on:afp=40000:afq=1.0:amm=off:anc=none:cond=on:fsr=off:fde=none:gs=on:gsaa=full_model:lma=on:nm=16:nwc=1:sas=z3:stl=30:sd=7:ss=axioms:sos=on:sp=occurrence:updr=off:uhcvi=on_85 on theBenchmark 0.16/0.52 % (11692)dis+1011_4_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 1.65/0.53 % (11708)dis+2_128_add=large:afp=100000:afq=1.4:amm=sco:anc=none:lma=on:nm=2:newcnf=on:nwc=1:nicw=on:sas=z3:sos=theory:sac=on:updr=off_288 on theBenchmark 1.65/0.53 % (11709)lrs+10_24_add=off:afr=on:afp=1000:afq=1.4:anc=none:bs=unit_only:gs=on:gsaa=from_current:gsem=on:lma=on:nm=2:nwc=1.1:stl=60:sac=on:uhcvi=on_364 on theBenchmark 1.65/0.54 % (11700)lrs+4_5:4_av=off:bd=off:er=filter:lma=on:lwlo=on:nwc=1:stl=30:sp=occurrence:updr=off_230 on theBenchmark 1.65/0.54 % (11701)lrs+1002_1_add=large:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_145 on theBenchmark 2.58/0.69 % (11693)Refutation not found, incomplete strategy% (11693)------------------------------ 2.58/0.69 % (11693)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.58/0.69 % (11693)Termination reason: Refutation not found, incomplete strategy 2.58/0.69 2.58/0.69 % (11693)Memory used [KB]: 6140 2.58/0.69 % (11693)Time elapsed: 0.318 s 2.58/0.69 % (11693)------------------------------ 2.58/0.69 % (11693)------------------------------ 2.97/0.70 % (11701)Refutation not found, incomplete strategy% (11701)------------------------------ 2.97/0.70 % (11701)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.97/0.70 % (11701)Termination reason: Refutation not found, incomplete strategy 2.97/0.70 2.97/0.70 % (11701)Memory used [KB]: 6140 2.97/0.70 % (11701)Time elapsed: 0.331 s 2.97/0.70 % (11701)------------------------------ 2.97/0.70 % (11701)------------------------------ 4.18/0.89 % (11698)Time limit reached! 4.18/0.89 % (11698)------------------------------ 4.18/0.89 % (11698)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.18/0.89 % (11698)Termination reason: Time limit 4.18/0.89 % (11698)Termination phase: Saturation 4.18/0.89 4.18/0.89 % (11698)Memory used [KB]: 7931 4.18/0.89 % (11698)Time elapsed: 0.500 s 4.18/0.89 % (11698)------------------------------ 4.18/0.89 % (11698)------------------------------ 7.33/1.27 % (11692)Time limit reached! 7.33/1.27 % (11692)------------------------------ 7.33/1.27 % (11692)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.66/1.29 % (11692)Termination reason: Time limit 7.66/1.29 % (11692)Termination phase: Saturation 7.66/1.29 7.66/1.29 % (11692)Memory used [KB]: 7036 7.66/1.29 % (11692)Time elapsed: 0.900 s 7.66/1.29 % (11692)------------------------------ 7.66/1.29 % (11692)------------------------------ 9.09/1.47 % (11688)Time limit reached! 9.09/1.47 % (11688)------------------------------ 9.09/1.47 % (11688)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 9.09/1.47 % (11688)Termination reason: Time limit 9.09/1.47 9.09/1.47 % (11688)Memory used [KB]: 18166 9.09/1.47 % (11688)Time elapsed: 1.101 s 9.09/1.47 % (11688)------------------------------ 9.09/1.47 % (11688)------------------------------ 34.79/4.72 % (11691)Time limit reached! 34.79/4.72 % (11691)------------------------------ 34.79/4.72 % (11691)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 34.79/4.72 % (11691)Termination reason: Time limit 34.79/4.72 % (11691)Termination phase: Saturation 34.79/4.72 34.79/4.72 % (11691)Memory used [KB]: 46310 34.79/4.72 % (11691)Time elapsed: 4.300 s 34.79/4.72 % (11691)------------------------------ 34.79/4.72 % (11691)------------------------------ 36.86/4.97 % (11704)Time limit reached! 36.86/4.97 % (11704)------------------------------ 36.86/4.97 % (11704)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 36.86/4.97 % (11704)Termination reason: Time limit 36.86/4.97 % (11704)Termination phase: Saturation 36.86/4.97 36.86/4.97 % (11704)Memory used [KB]: 48869 36.86/4.97 % (11704)Time elapsed: 4.600 s 36.86/4.97 % (11704)------------------------------ 36.86/4.97 % (11704)------------------------------ 44.84/5.98 % (11694)Time limit reached! 44.84/5.98 % (11694)------------------------------ 44.84/5.98 % (11694)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 45.16/5.99 % (11694)Termination reason: Time limit 45.16/5.99 % (11694)Termination phase: Saturation 45.16/5.99 45.16/5.99 % (11694)Memory used [KB]: 89039 45.16/5.99 % (11694)Time elapsed: 5.600 s 45.16/5.99 % (11694)------------------------------ 45.16/5.99 % (11694)------------------------------ 51.07/6.76 % (11702)Time limit reached! 51.07/6.76 % (11702)------------------------------ 51.07/6.76 % (11702)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 51.07/6.76 % (11702)Termination reason: Time limit 51.07/6.76 % (11702)Termination phase: Saturation 51.07/6.76 51.07/6.76 % (11702)Memory used [KB]: 53730 51.07/6.76 % (11702)Time elapsed: 6.400 s 51.07/6.76 % (11702)------------------------------ 51.07/6.76 % (11702)------------------------------ 83.91/10.90 % (11709)Refutation found. Thanks to Tanya! 83.91/10.90 % SZS status Theorem for theBenchmark 83.91/10.90 % SZS output start Proof for theBenchmark 83.91/10.90 fof(f197788,plain,( 83.91/10.90 $false), 83.91/10.90 inference(avatar_sat_refutation,[],[f52850,f196926,f197759])). 83.91/10.90 fof(f197759,plain,( 83.91/10.90 ~spl1_21), 83.91/10.90 inference(avatar_contradiction_clause,[],[f197739])). 83.91/10.90 fof(f197739,plain,( 83.91/10.90 $false | ~spl1_21), 83.91/10.90 inference(resolution,[],[f197212,f144])). 83.91/10.90 fof(f144,plain,( 83.91/10.90 ~is_a_theorem(implies(possibly(sK0),necessarily(possibly(sK0))))), 83.91/10.90 inference(subsumption_resolution,[],[f128,f96])). 83.91/10.90 fof(f96,plain,( 83.91/10.90 ~axiom_5), 83.91/10.90 inference(cnf_transformation,[],[f54])). 83.91/10.90 fof(f54,plain,( 83.91/10.90 ~axiom_5), 83.91/10.90 inference(flattening,[],[f49])). 83.91/10.90 fof(f49,negated_conjecture,( 83.91/10.90 ~axiom_5), 83.91/10.90 inference(negated_conjecture,[],[f48])). 83.91/10.90 fof(f48,conjecture,( 83.91/10.90 axiom_5), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km5_axiom_5)). 83.91/10.90 fof(f128,plain,( 83.91/10.90 axiom_5 | ~is_a_theorem(implies(possibly(sK0),necessarily(possibly(sK0))))), 83.91/10.90 inference(cnf_transformation,[],[f95])). 83.91/10.90 fof(f95,plain,( 83.91/10.90 axiom_5 | ~is_a_theorem(implies(possibly(sK0),necessarily(possibly(sK0))))), 83.91/10.90 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f92,f94])). 83.91/10.90 fof(f94,plain,( 83.91/10.90 ? [X0] : ~is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) => ~is_a_theorem(implies(possibly(sK0),necessarily(possibly(sK0))))), 83.91/10.90 introduced(choice_axiom,[])). 83.91/10.90 fof(f92,plain,( 83.91/10.90 axiom_5 | ? [X0] : ~is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))), 83.91/10.90 inference(ennf_transformation,[],[f62])). 83.91/10.90 fof(f62,plain,( 83.91/10.90 ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) => axiom_5), 83.91/10.90 inference(unused_predicate_definition_removal,[],[f27])). 83.91/10.90 fof(f27,axiom,( 83.91/10.90 ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) <=> axiom_5), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5)). 83.91/10.90 fof(f197212,plain,( 83.91/10.90 ( ! [X779] : (is_a_theorem(implies(possibly(X779),necessarily(possibly(X779))))) ) | ~spl1_21), 83.91/10.90 inference(resolution,[],[f196925,f136])). 83.91/10.90 fof(f136,plain,( 83.91/10.90 ( ! [X0] : (is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))) )), 83.91/10.90 inference(subsumption_resolution,[],[f120,f100])). 83.91/10.90 fof(f100,plain,( 83.91/10.90 axiom_m10), 83.91/10.90 inference(cnf_transformation,[],[f47])). 83.91/10.90 fof(f47,axiom,( 83.91/10.90 axiom_m10), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_m10_axiom_m10)). 83.91/10.90 fof(f120,plain,( 83.91/10.90 ( ! [X0] : (is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))) | ~axiom_m10) )), 83.91/10.90 inference(cnf_transformation,[],[f82])). 83.91/10.90 fof(f82,plain,( 83.91/10.90 ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))) | ~axiom_m10), 83.91/10.90 inference(ennf_transformation,[],[f65])). 83.91/10.90 fof(f65,plain,( 83.91/10.90 axiom_m10 => ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))), 83.91/10.90 inference(unused_predicate_definition_removal,[],[f24])). 83.91/10.90 fof(f24,axiom,( 83.91/10.90 axiom_m10 <=> ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_m10)). 83.91/10.90 fof(f196925,plain,( 83.91/10.90 ( ! [X8,X7] : (~is_a_theorem(strict_implies(X7,X8)) | is_a_theorem(implies(X7,X8))) ) | ~spl1_21), 83.91/10.90 inference(avatar_component_clause,[],[f196924])). 83.91/10.90 fof(f196924,plain,( 83.91/10.90 spl1_21 <=> ! [X7,X8] : (~is_a_theorem(strict_implies(X7,X8)) | is_a_theorem(implies(X7,X8)))), 83.91/10.90 introduced(avatar_definition,[new_symbols(naming,[spl1_21])])). 83.91/10.90 fof(f196926,plain,( 83.91/10.90 spl1_3 | spl1_21), 83.91/10.90 inference(avatar_split_clause,[],[f196750,f196924,f52449])). 83.91/10.90 fof(f52449,plain,( 83.91/10.90 spl1_3 <=> ! [X5] : ~is_a_theorem(X5)), 83.91/10.90 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])). 83.91/10.90 fof(f196750,plain,( 83.91/10.90 ( ! [X8,X7,X9] : (~is_a_theorem(strict_implies(X7,X8)) | ~is_a_theorem(X9) | is_a_theorem(implies(X7,X8))) )), 83.91/10.90 inference(resolution,[],[f196671,f141])). 83.91/10.90 fof(f141,plain,( 83.91/10.90 ( ! [X0,X1] : (~is_a_theorem(strict_implies(X0,X1)) | ~is_a_theorem(X0) | is_a_theorem(X1)) )), 83.91/10.90 inference(subsumption_resolution,[],[f125,f98])). 83.91/10.90 fof(f98,plain,( 83.91/10.90 modus_ponens_strict_implies), 83.91/10.90 inference(cnf_transformation,[],[f44])). 83.91/10.90 fof(f44,axiom,( 83.91/10.90 modus_ponens_strict_implies), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_modus_ponens_strict_implies)). 83.91/10.90 fof(f125,plain,( 83.91/10.90 ( ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(X0) | ~is_a_theorem(strict_implies(X0,X1)) | ~modus_ponens_strict_implies) )), 83.91/10.90 inference(cnf_transformation,[],[f89])). 83.91/10.90 fof(f89,plain,( 83.91/10.90 ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(X0) | ~is_a_theorem(strict_implies(X0,X1))) | ~modus_ponens_strict_implies), 83.91/10.90 inference(flattening,[],[f88])). 83.91/10.90 fof(f88,plain,( 83.91/10.90 ! [X0,X1] : (is_a_theorem(X1) | (~is_a_theorem(X0) | ~is_a_theorem(strict_implies(X0,X1)))) | ~modus_ponens_strict_implies), 83.91/10.90 inference(ennf_transformation,[],[f61])). 83.91/10.90 fof(f61,plain,( 83.91/10.90 modus_ponens_strict_implies => ! [X0,X1] : ((is_a_theorem(X0) & is_a_theorem(strict_implies(X0,X1))) => is_a_theorem(X1))), 83.91/10.90 inference(unused_predicate_definition_removal,[],[f28])). 83.91/10.90 fof(f28,axiom,( 83.91/10.90 modus_ponens_strict_implies <=> ! [X0,X1] : ((is_a_theorem(X0) & is_a_theorem(strict_implies(X0,X1))) => is_a_theorem(X1))), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_ponens_strict_implies)). 83.91/10.90 fof(f196671,plain,( 83.91/10.90 ( ! [X6,X7,X5] : (is_a_theorem(strict_implies(X7,implies(X5,X6))) | ~is_a_theorem(strict_implies(X5,X6))) )), 83.91/10.90 inference(forward_demodulation,[],[f196658,f138370])). 83.91/10.90 fof(f138370,plain,( 83.91/10.90 ( ! [X0,X1] : (strict_implies(X0,X1) = not(not(strict_implies(X0,X1)))) )), 83.91/10.90 inference(forward_demodulation,[],[f138369,f131])). 83.91/10.90 fof(f131,plain,( 83.91/10.90 ( ! [X0,X1] : (necessarily(implies(X0,X1)) = strict_implies(X0,X1)) )), 83.91/10.90 inference(subsumption_resolution,[],[f115,f107])). 83.91/10.90 fof(f107,plain,( 83.91/10.90 op_strict_implies), 83.91/10.90 inference(cnf_transformation,[],[f37])). 83.91/10.90 fof(f37,axiom,( 83.91/10.90 op_strict_implies), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_strict_implies)). 83.91/10.90 fof(f115,plain,( 83.91/10.90 ( ! [X0,X1] : (necessarily(implies(X0,X1)) = strict_implies(X0,X1) | ~op_strict_implies) )), 83.91/10.90 inference(cnf_transformation,[],[f77])). 83.91/10.90 fof(f77,plain,( 83.91/10.90 ! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(X0,X1) | ~op_strict_implies), 83.91/10.90 inference(ennf_transformation,[],[f30])). 83.91/10.90 fof(f30,axiom,( 83.91/10.90 op_strict_implies => ! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(X0,X1)), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_strict_implies)). 83.91/10.90 fof(f138369,plain,( 83.91/10.90 ( ! [X0,X1] : (necessarily(implies(X0,X1)) = not(not(strict_implies(X0,X1)))) )), 83.91/10.90 inference(forward_demodulation,[],[f138352,f154])). 83.91/10.90 fof(f154,plain,( 83.91/10.90 ( ! [X0,X1] : (possibly(and(X0,not(X1))) = not(strict_implies(X0,X1))) )), 83.91/10.90 inference(forward_demodulation,[],[f153,f131])). 83.91/10.90 fof(f153,plain,( 83.91/10.90 ( ! [X0,X1] : (possibly(and(X0,not(X1))) = not(necessarily(implies(X0,X1)))) )), 83.91/10.90 inference(superposition,[],[f130,f132])). 83.91/10.90 fof(f132,plain,( 83.91/10.90 ( ! [X0,X1] : (implies(X0,X1) = not(and(X0,not(X1)))) )), 83.91/10.90 inference(subsumption_resolution,[],[f116,f108])). 83.91/10.90 fof(f108,plain,( 83.91/10.90 op_implies_and), 83.91/10.90 inference(cnf_transformation,[],[f53])). 83.91/10.90 fof(f53,axiom,( 83.91/10.90 op_implies_and), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and)). 83.91/10.90 fof(f116,plain,( 83.91/10.90 ( ! [X0,X1] : (implies(X0,X1) = not(and(X0,not(X1))) | ~op_implies_and) )), 83.91/10.90 inference(cnf_transformation,[],[f78])). 83.91/10.90 fof(f78,plain,( 83.91/10.90 ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) | ~op_implies_and), 83.91/10.90 inference(ennf_transformation,[],[f4])). 83.91/10.90 fof(f4,axiom,( 83.91/10.90 op_implies_and => ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and)). 83.91/10.90 fof(f130,plain,( 83.91/10.90 ( ! [X0] : (possibly(X0) = not(necessarily(not(X0)))) )), 83.91/10.90 inference(subsumption_resolution,[],[f114,f106])). 83.91/10.90 fof(f106,plain,( 83.91/10.90 op_possibly), 83.91/10.90 inference(cnf_transformation,[],[f43])). 83.91/10.90 fof(f43,axiom,( 83.91/10.90 op_possibly), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_possibly)). 83.91/10.90 fof(f114,plain,( 83.91/10.90 ( ! [X0] : (possibly(X0) = not(necessarily(not(X0))) | ~op_possibly) )), 83.91/10.90 inference(cnf_transformation,[],[f76])). 83.91/10.90 fof(f76,plain,( 83.91/10.90 ! [X0] : possibly(X0) = not(necessarily(not(X0))) | ~op_possibly), 83.91/10.90 inference(ennf_transformation,[],[f31])). 83.91/10.90 fof(f31,axiom,( 83.91/10.90 op_possibly => ! [X0] : possibly(X0) = not(necessarily(not(X0)))), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_possibly)). 83.91/10.90 fof(f138352,plain,( 83.91/10.90 ( ! [X0,X1] : (necessarily(implies(X0,X1)) = not(possibly(and(X0,not(X1))))) )), 83.91/10.90 inference(superposition,[],[f136661,f132])). 83.91/10.90 fof(f136661,plain,( 83.91/10.90 ( ! [X6] : (necessarily(not(X6)) = not(possibly(X6))) )), 83.91/10.90 inference(resolution,[],[f136561,f139])). 83.91/10.90 fof(f139,plain,( 83.91/10.90 ( ! [X0,X1] : (~is_a_theorem(strict_equiv(X0,X1)) | X0 = X1) )), 83.91/10.90 inference(subsumption_resolution,[],[f123,f99])). 83.91/10.90 fof(f99,plain,( 83.91/10.90 substitution_strict_equiv), 83.91/10.90 inference(cnf_transformation,[],[f38])). 83.91/10.90 fof(f38,axiom,( 83.91/10.90 substitution_strict_equiv), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_substitution_strict_equiv)). 83.91/10.90 fof(f123,plain,( 83.91/10.90 ( ! [X0,X1] : (X0 = X1 | ~is_a_theorem(strict_equiv(X0,X1)) | ~substitution_strict_equiv) )), 83.91/10.90 inference(cnf_transformation,[],[f85])). 83.91/10.90 fof(f85,plain,( 83.91/10.90 ! [X0,X1] : (X0 = X1 | ~is_a_theorem(strict_equiv(X0,X1))) | ~substitution_strict_equiv), 83.91/10.90 inference(ennf_transformation,[],[f70])). 83.91/10.90 fof(f70,plain,( 83.91/10.90 substitution_strict_equiv => ! [X0,X1] : (is_a_theorem(strict_equiv(X0,X1)) => X0 = X1)), 83.91/10.90 inference(unused_predicate_definition_removal,[],[f10])). 83.91/10.90 fof(f10,axiom,( 83.91/10.90 substitution_strict_equiv <=> ! [X0,X1] : (is_a_theorem(strict_equiv(X0,X1)) => X0 = X1)), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_strict_equiv)). 83.91/10.90 fof(f136561,plain,( 83.91/10.90 ( ! [X2] : (is_a_theorem(strict_equiv(not(possibly(X2)),necessarily(not(X2))))) )), 83.91/10.90 inference(subsumption_resolution,[],[f136560,f553])). 83.91/10.90 fof(f553,plain,( 83.91/10.90 ( ! [X0] : (is_a_theorem(strict_implies(X0,X0))) )), 83.91/10.90 inference(backward_demodulation,[],[f143,f547])). 83.91/10.90 fof(f547,plain,( 83.91/10.90 ( ! [X3] : (and(X3,X3) = X3) )), 83.91/10.90 inference(resolution,[],[f537,f139])). 83.91/10.90 fof(f537,plain,( 83.91/10.90 ( ! [X0] : (is_a_theorem(strict_equiv(and(X0,X0),X0))) )), 83.91/10.90 inference(subsumption_resolution,[],[f519,f137])). 83.91/10.90 fof(f137,plain,( 83.91/10.90 ( ! [X0,X1] : (is_a_theorem(strict_implies(and(X0,X1),X0))) )), 83.91/10.90 inference(subsumption_resolution,[],[f121,f105])). 83.91/10.90 fof(f105,plain,( 83.91/10.90 axiom_m2), 83.91/10.90 inference(cnf_transformation,[],[f39])). 83.91/10.90 fof(f39,axiom,( 83.91/10.90 axiom_m2), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m2)). 83.91/10.90 fof(f121,plain,( 83.91/10.90 ( ! [X0,X1] : (is_a_theorem(strict_implies(and(X0,X1),X0)) | ~axiom_m2) )), 83.91/10.90 inference(cnf_transformation,[],[f83])). 83.91/10.90 fof(f83,plain,( 83.91/10.90 ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) | ~axiom_m2), 83.91/10.90 inference(ennf_transformation,[],[f66])). 83.91/10.90 fof(f66,plain,( 83.91/10.90 axiom_m2 => ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0))), 83.91/10.90 inference(unused_predicate_definition_removal,[],[f16])). 83.91/10.90 fof(f16,axiom,( 83.91/10.90 axiom_m2 <=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0))), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_m2)). 83.91/10.90 fof(f519,plain,( 83.91/10.90 ( ! [X0] : (~is_a_theorem(strict_implies(and(X0,X0),X0)) | is_a_theorem(strict_equiv(and(X0,X0),X0))) )), 83.91/10.90 inference(resolution,[],[f239,f143])). 83.91/10.90 fof(f239,plain,( 83.91/10.90 ( ! [X4,X5] : (~is_a_theorem(strict_implies(X5,X4)) | ~is_a_theorem(strict_implies(X4,X5)) | is_a_theorem(strict_equiv(X4,X5))) )), 83.91/10.90 inference(superposition,[],[f140,f133])). 83.91/10.90 fof(f133,plain,( 83.91/10.90 ( ! [X0,X1] : (strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))) )), 83.91/10.90 inference(subsumption_resolution,[],[f117,f109])). 83.91/10.90 fof(f109,plain,( 83.91/10.90 op_strict_equiv), 83.91/10.90 inference(cnf_transformation,[],[f46])). 83.91/10.90 fof(f46,axiom,( 83.91/10.90 op_strict_equiv), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_strict_equiv)). 83.91/10.90 fof(f117,plain,( 83.91/10.90 ( ! [X0,X1] : (strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)) | ~op_strict_equiv) )), 83.91/10.90 inference(cnf_transformation,[],[f79])). 83.91/10.90 fof(f79,plain,( 83.91/10.90 ! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)) | ~op_strict_equiv), 83.91/10.90 inference(ennf_transformation,[],[f32])). 83.91/10.90 fof(f32,axiom,( 83.91/10.90 op_strict_equiv => ! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_strict_equiv)). 83.91/10.90 fof(f140,plain,( 83.91/10.90 ( ! [X0,X1] : (is_a_theorem(and(X0,X1)) | ~is_a_theorem(X0) | ~is_a_theorem(X1)) )), 83.91/10.90 inference(subsumption_resolution,[],[f124,f102])). 83.91/10.90 fof(f102,plain,( 83.91/10.90 adjunction), 83.91/10.90 inference(cnf_transformation,[],[f34])). 83.91/10.90 fof(f34,axiom,( 83.91/10.90 adjunction), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_adjunction)). 83.91/10.90 fof(f124,plain,( 83.91/10.90 ( ! [X0,X1] : (is_a_theorem(and(X0,X1)) | ~is_a_theorem(X0) | ~is_a_theorem(X1) | ~adjunction) )), 83.91/10.90 inference(cnf_transformation,[],[f87])). 83.91/10.90 fof(f87,plain,( 83.91/10.90 ! [X0,X1] : (is_a_theorem(and(X0,X1)) | ~is_a_theorem(X0) | ~is_a_theorem(X1)) | ~adjunction), 83.91/10.90 inference(flattening,[],[f86])). 83.91/10.90 fof(f86,plain,( 83.91/10.90 ! [X0,X1] : (is_a_theorem(and(X0,X1)) | (~is_a_theorem(X0) | ~is_a_theorem(X1))) | ~adjunction), 83.91/10.90 inference(ennf_transformation,[],[f69])). 83.91/10.90 fof(f69,plain,( 83.91/10.90 adjunction => ! [X0,X1] : ((is_a_theorem(X0) & is_a_theorem(X1)) => is_a_theorem(and(X0,X1)))), 83.91/10.90 inference(unused_predicate_definition_removal,[],[f11])). 83.91/10.90 fof(f11,axiom,( 83.91/10.90 adjunction <=> ! [X0,X1] : ((is_a_theorem(X0) & is_a_theorem(X1)) => is_a_theorem(and(X0,X1)))), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',adjunction)). 83.91/10.90 fof(f143,plain,( 83.91/10.90 ( ! [X0] : (is_a_theorem(strict_implies(X0,and(X0,X0)))) )), 83.91/10.90 inference(subsumption_resolution,[],[f127,f97])). 83.91/10.90 fof(f97,plain,( 83.91/10.90 axiom_m4), 83.91/10.90 inference(cnf_transformation,[],[f45])). 83.91/10.90 fof(f45,axiom,( 83.91/10.90 axiom_m4), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m4)). 83.91/10.90 fof(f127,plain,( 83.91/10.90 ( ! [X0] : (is_a_theorem(strict_implies(X0,and(X0,X0))) | ~axiom_m4) )), 83.91/10.90 inference(cnf_transformation,[],[f91])). 83.91/10.90 fof(f91,plain,( 83.91/10.90 ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))) | ~axiom_m4), 83.91/10.90 inference(ennf_transformation,[],[f67])). 83.91/10.90 fof(f67,plain,( 83.91/10.90 axiom_m4 => ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0)))), 83.91/10.90 inference(unused_predicate_definition_removal,[],[f15])). 83.91/10.90 fof(f15,axiom,( 83.91/10.90 ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))) <=> axiom_m4), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_m4)). 83.91/10.90 fof(f136560,plain,( 83.91/10.90 ( ! [X2] : (~is_a_theorem(strict_implies(possibly(X2),possibly(X2))) | is_a_theorem(strict_equiv(not(possibly(X2)),necessarily(not(X2))))) )), 83.91/10.90 inference(forward_demodulation,[],[f136559,f131])). 83.91/10.90 fof(f136559,plain,( 83.91/10.90 ( ! [X2] : (~is_a_theorem(necessarily(implies(possibly(X2),possibly(X2)))) | is_a_theorem(strict_equiv(not(possibly(X2)),necessarily(not(X2))))) )), 83.91/10.90 inference(forward_demodulation,[],[f136558,f757])). 83.91/10.90 fof(f757,plain,( 83.91/10.90 ( ! [X0,X1] : (or(X1,necessarily(not(X0))) = implies(possibly(X0),X1)) )), 83.91/10.90 inference(backward_demodulation,[],[f169,f706])). 83.91/10.90 fof(f706,plain,( 83.91/10.90 ( ! [X31,X32] : (implies(X31,X32) = not(and(not(X32),X31))) )), 83.91/10.90 inference(superposition,[],[f132,f671])). 83.91/10.90 fof(f671,plain,( 83.91/10.90 ( ! [X4,X5] : (and(X4,X5) = and(X5,X4)) )), 83.91/10.90 inference(resolution,[],[f538,f139])). 83.91/10.90 fof(f538,plain,( 83.91/10.90 ( ! [X4,X3] : (is_a_theorem(strict_equiv(and(X3,X4),and(X4,X3)))) )), 83.91/10.90 inference(subsumption_resolution,[],[f521,f138])). 83.91/10.90 fof(f138,plain,( 83.91/10.90 ( ! [X0,X1] : (is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))) )), 83.91/10.90 inference(subsumption_resolution,[],[f122,f104])). 83.91/10.90 fof(f104,plain,( 83.91/10.90 axiom_m1), 83.91/10.90 inference(cnf_transformation,[],[f41])). 83.91/10.90 fof(f41,axiom,( 83.91/10.90 axiom_m1), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m1)). 83.91/10.90 fof(f122,plain,( 83.91/10.90 ( ! [X0,X1] : (is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) | ~axiom_m1) )), 83.91/10.90 inference(cnf_transformation,[],[f84])). 83.91/10.90 fof(f84,plain,( 83.91/10.90 ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) | ~axiom_m1), 83.91/10.90 inference(ennf_transformation,[],[f68])). 83.91/10.90 fof(f68,plain,( 83.91/10.90 axiom_m1 => ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))), 83.91/10.90 inference(unused_predicate_definition_removal,[],[f13])). 83.91/10.90 fof(f13,axiom,( 83.91/10.90 axiom_m1 <=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_m1)). 83.91/10.90 fof(f521,plain,( 83.91/10.90 ( ! [X4,X3] : (~is_a_theorem(strict_implies(and(X3,X4),and(X4,X3))) | is_a_theorem(strict_equiv(and(X3,X4),and(X4,X3)))) )), 83.91/10.90 inference(resolution,[],[f239,f138])). 83.91/10.90 fof(f169,plain,( 83.91/10.90 ( ! [X0,X1] : (or(X1,necessarily(not(X0))) = not(and(not(X1),possibly(X0)))) )), 83.91/10.90 inference(superposition,[],[f134,f130])). 83.91/10.90 fof(f134,plain,( 83.91/10.90 ( ! [X0,X1] : (or(X0,X1) = not(and(not(X0),not(X1)))) )), 83.91/10.90 inference(subsumption_resolution,[],[f118,f112])). 83.91/10.90 fof(f112,plain,( 83.91/10.90 op_or), 83.91/10.90 inference(cnf_transformation,[],[f40])). 83.91/10.90 fof(f40,axiom,( 83.91/10.90 op_or), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_or)). 83.91/10.90 fof(f118,plain,( 83.91/10.90 ( ! [X0,X1] : (or(X0,X1) = not(and(not(X0),not(X1))) | ~op_or) )), 83.91/10.90 inference(cnf_transformation,[],[f80])). 83.91/10.90 fof(f80,plain,( 83.91/10.90 ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) | ~op_or), 83.91/10.90 inference(ennf_transformation,[],[f3])). 83.91/10.90 fof(f3,axiom,( 83.91/10.90 op_or => ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_or)). 83.91/10.90 fof(f136558,plain,( 83.91/10.90 ( ! [X2] : (~is_a_theorem(necessarily(or(possibly(X2),necessarily(not(X2))))) | is_a_theorem(strict_equiv(not(possibly(X2)),necessarily(not(X2))))) )), 83.91/10.90 inference(forward_demodulation,[],[f136528,f184])). 83.91/10.90 fof(f184,plain,( 83.91/10.90 ( ! [X0,X1] : (necessarily(or(X0,X1)) = strict_implies(not(X0),X1)) )), 83.91/10.90 inference(superposition,[],[f131,f172])). 83.91/10.90 fof(f172,plain,( 83.91/10.90 ( ! [X2,X3] : (implies(not(X2),X3) = or(X2,X3)) )), 83.91/10.90 inference(superposition,[],[f134,f132])). 83.91/10.90 fof(f136528,plain,( 83.91/10.90 ( ! [X2] : (~is_a_theorem(strict_implies(not(possibly(X2)),necessarily(not(X2)))) | is_a_theorem(strict_equiv(not(possibly(X2)),necessarily(not(X2))))) )), 83.91/10.90 inference(resolution,[],[f136169,f239])). 83.91/10.90 fof(f136169,plain,( 83.91/10.90 ( ! [X7] : (is_a_theorem(strict_implies(necessarily(not(X7)),not(possibly(X7))))) )), 83.91/10.90 inference(superposition,[],[f553,f134906])). 83.91/10.90 fof(f134906,plain,( 83.91/10.90 ( ! [X6,X7] : (strict_implies(X6,necessarily(not(X7))) = strict_implies(X6,not(possibly(X7)))) )), 83.91/10.90 inference(backward_demodulation,[],[f347,f134620])). 83.91/10.90 fof(f134620,plain,( 83.91/10.90 ( ! [X39,X40] : (necessarily(not(and(X39,possibly(X40)))) = strict_implies(X39,not(possibly(X40)))) )), 83.91/10.90 inference(superposition,[],[f131,f116549])). 83.91/10.90 fof(f116549,plain,( 83.91/10.90 ( ! [X52,X51] : (implies(X52,not(possibly(X51))) = not(and(X52,possibly(X51)))) )), 83.91/10.90 inference(superposition,[],[f132,f116469])). 83.91/10.90 fof(f116469,plain,( 83.91/10.90 ( ! [X5] : (possibly(X5) = not(not(possibly(X5)))) )), 83.91/10.90 inference(resolution,[],[f116403,f139])). 83.91/10.90 fof(f116403,plain,( 83.91/10.90 ( ! [X4] : (is_a_theorem(strict_equiv(possibly(X4),not(not(possibly(X4)))))) )), 83.91/10.90 inference(forward_demodulation,[],[f116402,f829])). 83.91/10.90 fof(f829,plain,( 83.91/10.90 ( ! [X4,X5] : (strict_equiv(X4,X5) = strict_equiv(X5,X4)) )), 83.91/10.90 inference(resolution,[],[f543,f139])). 83.91/10.90 fof(f543,plain,( 83.91/10.90 ( ! [X26,X25] : (is_a_theorem(strict_equiv(strict_equiv(X25,X26),strict_equiv(X26,X25)))) )), 83.91/10.90 inference(subsumption_resolution,[],[f533,f246])). 83.91/10.90 fof(f246,plain,( 83.91/10.90 ( ! [X6,X7] : (is_a_theorem(strict_implies(strict_equiv(X7,X6),strict_equiv(X6,X7)))) )), 83.91/10.90 inference(forward_demodulation,[],[f240,f133])). 83.91/10.90 fof(f240,plain,( 83.91/10.90 ( ! [X6,X7] : (is_a_theorem(strict_implies(and(strict_implies(X7,X6),strict_implies(X6,X7)),strict_equiv(X6,X7)))) )), 83.91/10.90 inference(superposition,[],[f138,f133])). 83.91/10.90 fof(f533,plain,( 83.91/10.90 ( ! [X26,X25] : (~is_a_theorem(strict_implies(strict_equiv(X25,X26),strict_equiv(X26,X25))) | is_a_theorem(strict_equiv(strict_equiv(X25,X26),strict_equiv(X26,X25)))) )), 83.91/10.90 inference(resolution,[],[f239,f246])). 83.91/10.90 fof(f116402,plain,( 83.91/10.90 ( ! [X4] : (is_a_theorem(strict_equiv(not(not(possibly(X4))),possibly(X4)))) )), 83.91/10.90 inference(subsumption_resolution,[],[f116401,f556])). 83.91/10.90 fof(f556,plain,( 83.91/10.90 ( ! [X0] : (is_a_theorem(necessarily(or(X0,not(X0))))) )), 83.91/10.90 inference(superposition,[],[f553,f184])). 83.91/10.90 fof(f116401,plain,( 83.91/10.90 ( ! [X4] : (~is_a_theorem(necessarily(or(possibly(X4),not(possibly(X4))))) | is_a_theorem(strict_equiv(not(not(possibly(X4))),possibly(X4)))) )), 83.91/10.90 inference(forward_demodulation,[],[f116400,f1191])). 83.91/10.90 fof(f1191,plain,( 83.91/10.90 ( ! [X2,X3] : (necessarily(or(X2,X3)) = necessarily(or(X3,X2))) )), 83.91/10.90 inference(superposition,[],[f1042,f184])). 83.91/10.90 fof(f1042,plain,( 83.91/10.90 ( ! [X12,X11] : (strict_implies(not(X11),X12) = necessarily(or(X12,X11))) )), 83.91/10.90 inference(superposition,[],[f131,f975])). 83.91/10.90 fof(f975,plain,( 83.91/10.90 ( ! [X0,X1] : (or(X0,X1) = implies(not(X1),X0)) )), 83.91/10.90 inference(superposition,[],[f706,f134])). 83.91/10.90 fof(f116400,plain,( 83.91/10.90 ( ! [X4] : (~is_a_theorem(necessarily(or(not(possibly(X4)),possibly(X4)))) | is_a_theorem(strict_equiv(not(not(possibly(X4))),possibly(X4)))) )), 83.91/10.90 inference(forward_demodulation,[],[f116391,f184])). 83.91/10.90 fof(f116391,plain,( 83.91/10.90 ( ! [X4] : (~is_a_theorem(strict_implies(not(not(possibly(X4))),possibly(X4))) | is_a_theorem(strict_equiv(not(not(possibly(X4))),possibly(X4)))) )), 83.91/10.90 inference(resolution,[],[f116184,f239])). 83.91/10.90 fof(f116184,plain,( 83.91/10.90 ( ! [X0] : (is_a_theorem(strict_implies(possibly(X0),not(not(possibly(X0)))))) )), 83.91/10.90 inference(forward_demodulation,[],[f116183,f131])). 83.91/10.90 fof(f116183,plain,( 83.91/10.90 ( ! [X0] : (is_a_theorem(necessarily(implies(possibly(X0),not(not(possibly(X0))))))) )), 83.91/10.90 inference(forward_demodulation,[],[f116166,f177])). 83.91/10.90 fof(f177,plain,( 83.91/10.90 ( ! [X0,X1] : (or(necessarily(not(X0)),X1) = implies(possibly(X0),X1)) )), 83.91/10.90 inference(forward_demodulation,[],[f166,f132])). 83.91/10.90 fof(f166,plain,( 83.91/10.90 ( ! [X0,X1] : (or(necessarily(not(X0)),X1) = not(and(possibly(X0),not(X1)))) )), 83.91/10.90 inference(superposition,[],[f134,f130])). 83.91/10.90 fof(f116166,plain,( 83.91/10.90 ( ! [X0] : (is_a_theorem(necessarily(or(necessarily(not(X0)),not(not(possibly(X0))))))) )), 83.91/10.90 inference(superposition,[],[f115976,f130])). 83.91/10.90 fof(f115976,plain,( 83.91/10.90 ( ! [X8] : (is_a_theorem(necessarily(or(X8,not(not(not(X8))))))) )), 83.91/10.90 inference(superposition,[],[f115954,f574])). 83.91/10.90 fof(f574,plain,( 83.91/10.90 ( ! [X15] : (implies(not(X15),X15) = not(not(X15))) )), 83.91/10.90 inference(superposition,[],[f132,f547])). 83.91/10.90 fof(f115954,plain,( 83.91/10.90 ( ! [X0,X1] : (is_a_theorem(necessarily(or(X1,implies(X0,not(X1)))))) )), 83.91/10.90 inference(forward_demodulation,[],[f115953,f1191])). 83.91/10.90 fof(f115953,plain,( 83.91/10.90 ( ! [X0,X1] : (is_a_theorem(necessarily(or(implies(X0,not(X1)),X1)))) )), 83.91/10.90 inference(forward_demodulation,[],[f115921,f184])). 83.91/10.90 fof(f115921,plain,( 83.91/10.90 ( ! [X0,X1] : (is_a_theorem(strict_implies(not(implies(X0,not(X1))),X1))) )), 83.91/10.90 inference(superposition,[],[f115573,f547])). 83.91/10.90 fof(f115573,plain,( 83.91/10.90 ( ! [X43,X44,X42] : (is_a_theorem(strict_implies(and(not(implies(X42,not(X43))),X44),X43))) )), 83.91/10.90 inference(forward_demodulation,[],[f115464,f132])). 83.91/10.90 fof(f115464,plain,( 83.91/10.90 ( ! [X43,X44,X42] : (is_a_theorem(strict_implies(and(not(not(and(X42,not(not(X43))))),X44),X43))) )), 83.91/10.90 inference(resolution,[],[f43273,f43303])). 83.91/10.90 fof(f43303,plain,( 83.91/10.90 ( ! [X2,X1] : (is_a_theorem(strict_implies(and(not(not(X2)),X1),X2))) )), 83.91/10.90 inference(superposition,[],[f43261,f671])). 83.91/10.90 fof(f43261,plain,( 83.91/10.90 ( ! [X19,X18] : (is_a_theorem(strict_implies(and(X19,not(not(X18))),X18))) )), 83.91/10.90 inference(forward_demodulation,[],[f43214,f1881])). 83.91/10.90 fof(f1881,plain,( 83.91/10.90 ( ! [X10,X11] : (strict_implies(X11,X10) = strict_implies(and(not(X10),X11),X10)) )), 83.91/10.90 inference(forward_demodulation,[],[f1860,f131])). 83.91/10.90 fof(f1860,plain,( 83.91/10.90 ( ! [X10,X11] : (strict_implies(and(not(X10),X11),X10) = necessarily(implies(X11,X10))) )), 83.91/10.90 inference(superposition,[],[f131,f1696])). 83.91/10.90 fof(f1696,plain,( 83.91/10.90 ( ! [X41,X40] : (implies(and(not(X40),X41),X40) = implies(X41,X40)) )), 83.91/10.90 inference(forward_demodulation,[],[f1667,f706])). 83.91/10.90 fof(f1667,plain,( 83.91/10.90 ( ! [X41,X40] : (implies(and(not(X40),X41),X40) = not(and(not(X40),X41))) )), 83.91/10.90 inference(superposition,[],[f706,f1630])). 83.91/10.90 fof(f1630,plain,( 83.91/10.90 ( ! [X6,X7] : (and(X6,X7) = and(X6,and(X6,X7))) )), 83.91/10.90 inference(resolution,[],[f1275,f139])). 83.91/10.90 fof(f1275,plain,( 83.91/10.90 ( ! [X0,X1] : (is_a_theorem(strict_equiv(and(X0,X1),and(X0,and(X0,X1))))) )), 83.91/10.90 inference(forward_demodulation,[],[f1274,f829])). 83.91/10.90 fof(f1274,plain,( 83.91/10.90 ( ! [X0,X1] : (is_a_theorem(strict_equiv(and(X0,and(X0,X1)),and(X0,X1)))) )), 83.91/10.90 inference(subsumption_resolution,[],[f1267,f693])). 83.91/10.90 fof(f693,plain,( 83.91/10.90 ( ! [X2,X1] : (is_a_theorem(strict_implies(and(X2,X1),X1))) )), 83.91/10.90 inference(superposition,[],[f137,f671])). 83.91/10.90 fof(f1267,plain,( 83.91/10.90 ( ! [X0,X1] : (~is_a_theorem(strict_implies(and(X0,and(X0,X1)),and(X0,X1))) | is_a_theorem(strict_equiv(and(X0,and(X0,X1)),and(X0,X1)))) )), 83.91/10.90 inference(resolution,[],[f567,f239])). 83.91/10.90 fof(f567,plain,( 83.91/10.90 ( ! [X4,X5] : (is_a_theorem(strict_implies(and(X4,X5),and(X4,and(X4,X5))))) )), 83.91/10.90 inference(superposition,[],[f145,f547])). 83.91/10.90 fof(f145,plain,( 83.91/10.90 ( ! [X2,X0,X1] : (is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))) )), 83.91/10.90 inference(subsumption_resolution,[],[f129,f103])). 83.91/10.90 fof(f103,plain,( 83.91/10.90 axiom_m3), 83.91/10.90 inference(cnf_transformation,[],[f42])). 83.91/10.90 fof(f42,axiom,( 83.91/10.90 axiom_m3), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m3)). 83.91/10.90 fof(f129,plain,( 83.91/10.90 ( ! [X2,X0,X1] : (is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))) | ~axiom_m3) )), 83.91/10.90 inference(cnf_transformation,[],[f93])). 83.91/10.90 fof(f93,plain,( 83.91/10.90 ! [X0,X1,X2] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))) | ~axiom_m3), 83.91/10.90 inference(ennf_transformation,[],[f64])). 83.91/10.90 fof(f64,plain,( 83.91/10.90 axiom_m3 => ! [X0,X1,X2] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))), 83.91/10.90 inference(unused_predicate_definition_removal,[],[f60])). 83.91/10.90 fof(f60,plain,( 83.91/10.90 ! [X0,X1,X2] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))) <=> axiom_m3), 83.91/10.90 inference(rectify,[],[f25])). 83.91/10.90 fof(f25,axiom,( 83.91/10.90 ! [X0,X1,X4] : is_a_theorem(strict_implies(and(and(X0,X1),X4),and(X0,and(X1,X4)))) <=> axiom_m3), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_m3)). 83.91/10.90 fof(f43214,plain,( 83.91/10.90 ( ! [X19,X18] : (is_a_theorem(strict_implies(and(not(X18),and(X19,not(not(X18)))),X18))) )), 83.91/10.90 inference(superposition,[],[f40628,f577])). 83.91/10.90 fof(f577,plain,( 83.91/10.90 ( ! [X19] : (or(X19,X19) = not(not(X19))) )), 83.91/10.90 inference(superposition,[],[f134,f547])). 83.91/10.90 fof(f40628,plain,( 83.91/10.90 ( ! [X180,X178,X179] : (is_a_theorem(strict_implies(and(not(X178),and(X180,or(X178,X179))),X179))) )), 83.91/10.90 inference(forward_demodulation,[],[f40627,f20930])). 83.91/10.90 fof(f20930,plain,( 83.91/10.90 ( ! [X10,X11,X9] : (and(X9,and(X10,X11)) = and(X11,and(X9,X10))) )), 83.91/10.90 inference(superposition,[],[f18987,f671])). 83.91/10.90 fof(f18987,plain,( 83.91/10.90 ( ! [X10,X11,X9] : (and(and(X9,X11),X10) = and(X9,and(X11,X10))) )), 83.91/10.90 inference(backward_demodulation,[],[f17341,f18425])). 83.91/10.90 fof(f18425,plain,( 83.91/10.90 ( ! [X4,X2,X3] : (and(X2,and(X3,X4)) = and(and(X2,X4),X3)) )), 83.91/10.90 inference(backward_demodulation,[],[f17442,f17458])). 83.91/10.90 fof(f17458,plain,( 83.91/10.90 ( ! [X10,X8,X9] : (and(X10,and(X8,X9)) = and(and(X8,X10),X9)) )), 83.91/10.90 inference(superposition,[],[f17341,f671])). 83.91/10.90 fof(f17442,plain,( 83.91/10.90 ( ! [X4,X2,X3] : (and(and(X2,X4),X3) = and(and(X3,X2),X4)) )), 83.91/10.90 inference(superposition,[],[f17341,f671])). 83.91/10.90 fof(f17341,plain,( 83.91/10.90 ( ! [X10,X11,X9] : (and(and(X9,X10),X11) = and(and(X9,X11),X10)) )), 83.91/10.90 inference(resolution,[],[f13313,f139])). 83.91/10.90 fof(f13313,plain,( 83.91/10.90 ( ! [X17,X18,X16] : (is_a_theorem(strict_equiv(and(and(X16,X17),X18),and(and(X16,X18),X17)))) )), 83.91/10.90 inference(subsumption_resolution,[],[f13271,f7447])). 83.91/10.90 fof(f7447,plain,( 83.91/10.90 ( ! [X2,X0,X1] : (is_a_theorem(strict_implies(and(and(X0,X1),X2),and(and(X0,X2),X1)))) )), 83.91/10.90 inference(resolution,[],[f697,f3817])). 83.91/10.90 fof(f3817,plain,( 83.91/10.90 ( ! [X6,X7,X5] : (~is_a_theorem(strict_implies(X5,and(X6,X7))) | is_a_theorem(strict_implies(X5,and(X7,X6)))) )), 83.91/10.90 inference(resolution,[],[f2099,f138])). 83.91/10.90 fof(f2099,plain,( 83.91/10.90 ( ! [X2,X0,X1] : (~is_a_theorem(strict_implies(X2,X1)) | ~is_a_theorem(strict_implies(X0,X2)) | is_a_theorem(strict_implies(X0,X1))) )), 83.91/10.90 inference(resolution,[],[f301,f140])). 83.91/10.90 fof(f301,plain,( 83.91/10.90 ( ! [X2,X0,X1] : (~is_a_theorem(and(strict_implies(X0,X1),strict_implies(X1,X2))) | is_a_theorem(strict_implies(X0,X2))) )), 83.91/10.90 inference(resolution,[],[f142,f141])). 83.91/10.90 fof(f142,plain,( 83.91/10.90 ( ! [X2,X0,X1] : (is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))) )), 83.91/10.90 inference(subsumption_resolution,[],[f126,f101])). 83.91/10.90 fof(f101,plain,( 83.91/10.90 axiom_m5), 83.91/10.90 inference(cnf_transformation,[],[f35])). 83.91/10.90 fof(f35,axiom,( 83.91/10.90 axiom_m5), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m5)). 83.91/10.90 fof(f126,plain,( 83.91/10.90 ( ! [X2,X0,X1] : (is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))) | ~axiom_m5) )), 83.91/10.90 inference(cnf_transformation,[],[f90])). 83.91/10.90 fof(f90,plain,( 83.91/10.90 ! [X0,X1,X2] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))) | ~axiom_m5), 83.91/10.90 inference(ennf_transformation,[],[f63])). 83.91/10.90 fof(f63,plain,( 83.91/10.90 axiom_m5 => ! [X0,X1,X2] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))), 83.91/10.90 inference(unused_predicate_definition_removal,[],[f58])). 83.91/10.90 fof(f58,plain,( 83.91/10.90 axiom_m5 <=> ! [X0,X1,X2] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))), 83.91/10.90 inference(rectify,[],[f26])). 83.91/10.90 fof(f26,axiom,( 83.91/10.90 axiom_m5 <=> ! [X0,X1,X4] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X4)),strict_implies(X0,X4)))), 83.91/10.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_m5)). 83.91/10.90 fof(f697,plain,( 83.91/10.90 ( ! [X10,X11,X9] : (is_a_theorem(strict_implies(and(and(X10,X9),X11),and(X9,and(X10,X11))))) )), 83.91/10.90 inference(superposition,[],[f145,f671])). 83.91/10.90 fof(f13271,plain,( 83.91/10.90 ( ! [X17,X18,X16] : (~is_a_theorem(strict_implies(and(and(X16,X17),X18),and(and(X16,X18),X17))) | is_a_theorem(strict_equiv(and(and(X16,X17),X18),and(and(X16,X18),X17)))) )), 83.91/10.90 inference(resolution,[],[f7447,f239])). 83.91/10.90 fof(f40627,plain,( 83.91/10.90 ( ! [X180,X178,X179] : (is_a_theorem(strict_implies(and(or(X178,X179),and(not(X178),X180)),X179))) )), 83.91/10.90 inference(forward_demodulation,[],[f40626,f131])). 83.91/10.90 fof(f40626,plain,( 83.91/10.90 ( ! [X180,X178,X179] : (is_a_theorem(necessarily(implies(and(or(X178,X179),and(not(X178),X180)),X179)))) )), 83.91/10.90 inference(forward_demodulation,[],[f40625,f22104])). 83.91/10.90 fof(f22104,plain,( 83.91/10.90 ( ! [X457,X456,X458] : (implies(and(X456,X457),X458) = not(and(X456,and(not(X458),X457)))) )), 83.91/10.90 inference(superposition,[],[f132,f18425])). 83.91/10.90 fof(f40625,plain,( 83.91/10.90 ( ! [X180,X178,X179] : (is_a_theorem(necessarily(not(and(or(X178,X179),and(not(X179),and(not(X178),X180))))))) )), 83.91/10.90 inference(forward_demodulation,[],[f40624,f17458])). 83.91/10.90 fof(f40624,plain,( 83.91/10.90 ( ! [X180,X178,X179] : (is_a_theorem(necessarily(not(and(or(X178,X179),and(and(not(X178),not(X179)),X180)))))) )), 83.91/10.90 inference(forward_demodulation,[],[f40490,f6150])). 83.91/10.90 fof(f6150,plain,( 83.91/10.90 ( ! [X70,X71,X69] : (not(and(X71,or(X69,X70))) = not(and(or(X69,X70),X71))) )), 83.91/10.90 inference(forward_demodulation,[],[f6149,f1630])). 83.91/10.90 fof(f6149,plain,( 83.91/10.90 ( ! [X70,X71,X69] : (not(and(X71,or(X69,X70))) = not(and(or(X69,X70),and(or(X69,X70),X71)))) )), 83.91/10.90 inference(forward_demodulation,[],[f6148,f172])). 83.91/10.90 fof(f6148,plain,( 83.91/10.90 ( ! [X70,X71,X69] : (not(and(X71,or(X69,X70))) = not(and(or(X69,X70),and(implies(not(X69),X70),X71)))) )), 83.91/10.90 inference(forward_demodulation,[],[f6147,f132])). 83.91/10.90 fof(f6147,plain,( 83.91/10.90 ( ! [X70,X71,X69] : (not(and(X71,or(X69,X70))) = not(and(or(X69,X70),and(not(and(not(X69),not(X70))),X71)))) )), 83.91/10.90 inference(forward_demodulation,[],[f6146,f671])). 83.91/10.90 fof(f6146,plain,( 83.91/10.90 ( ! [X70,X71,X69] : (not(and(and(not(and(not(X69),not(X70))),X71),or(X69,X70))) = not(and(X71,or(X69,X70)))) )), 83.91/10.90 inference(forward_demodulation,[],[f6145,f172])). 83.91/10.90 fof(f6145,plain,( 83.91/10.90 ( ! [X70,X71,X69] : (not(and(and(not(and(not(X69),not(X70))),X71),or(X69,X70))) = not(and(X71,implies(not(X69),X70)))) )), 83.91/10.90 inference(forward_demodulation,[],[f6072,f152])). 83.91/10.90 fof(f152,plain,( 83.91/10.90 ( ! [X4,X2,X3] : (implies(X4,and(X2,not(X3))) = not(and(X4,implies(X2,X3)))) )), 83.91/10.90 inference(superposition,[],[f132,f132])). 83.91/10.90 fof(f6072,plain,( 83.91/10.90 ( ! [X70,X71,X69] : (not(and(and(not(and(not(X69),not(X70))),X71),or(X69,X70))) = implies(X71,and(not(X69),not(X70)))) )), 83.91/10.90 inference(superposition,[],[f1696,f175])). 83.91/10.90 fof(f175,plain,( 83.91/10.90 ( ! [X6,X4,X5] : (implies(X6,and(not(X4),not(X5))) = not(and(X6,or(X4,X5)))) )), 83.91/10.90 inference(superposition,[],[f132,f134])). 83.91/10.90 fof(f40490,plain,( 83.91/10.90 ( ! [X180,X178,X179] : (is_a_theorem(necessarily(not(and(and(and(not(X178),not(X179)),X180),or(X178,X179)))))) )), 83.91/10.90 inference(superposition,[],[f137,f6052])). 83.91/10.90 fof(f6052,plain,( 83.91/10.90 ( ! [X4,X5,X3] : (strict_implies(X3,and(not(X4),not(X5))) = necessarily(not(and(X3,or(X4,X5))))) )), 83.91/10.90 inference(superposition,[],[f131,f175])). 83.91/10.90 fof(f43273,plain,( 83.91/10.90 ( ! [X2,X0,X1] : (~is_a_theorem(strict_implies(X0,and(X1,not(not(X2))))) | is_a_theorem(strict_implies(X0,X2))) )), 83.91/10.90 inference(resolution,[],[f43261,f2099])). 83.91/10.90 fof(f347,plain,( 83.91/10.90 ( ! [X6,X7] : (strict_implies(X6,necessarily(not(X7))) = necessarily(not(and(X6,possibly(X7))))) )), 83.91/10.90 inference(superposition,[],[f131,f151])). 83.91/10.90 fof(f151,plain,( 83.91/10.90 ( ! [X0,X1] : (implies(X1,necessarily(not(X0))) = not(and(X1,possibly(X0)))) )), 83.91/10.90 inference(superposition,[],[f132,f130])). 83.91/10.90 fof(f196658,plain,( 83.91/10.90 ( ! [X6,X7,X5] : (~is_a_theorem(not(not(strict_implies(X5,X6)))) | is_a_theorem(strict_implies(X7,implies(X5,X6)))) )), 83.91/10.90 inference(superposition,[],[f196630,f121633])). 83.91/10.90 fof(f121633,plain,( 83.91/10.90 ( ! [X95,X96] : (possibly(not(implies(X95,X96))) = not(strict_implies(X95,X96))) )), 83.91/10.90 inference(forward_demodulation,[],[f121109,f131])). 83.91/10.90 fof(f121109,plain,( 83.91/10.90 ( ! [X95,X96] : (possibly(not(implies(X95,X96))) = not(necessarily(implies(X95,X96)))) )), 83.91/10.90 inference(superposition,[],[f130,f120971])). 83.91/10.90 fof(f120971,plain,( 83.91/10.90 ( ! [X10,X11] : (implies(X10,X11) = not(not(implies(X10,X11)))) )), 83.91/10.90 inference(resolution,[],[f119396,f139])). 83.91/10.90 fof(f119396,plain,( 83.91/10.90 ( ! [X10,X9] : (is_a_theorem(strict_equiv(implies(X9,X10),not(not(implies(X9,X10)))))) )), 83.91/10.90 inference(forward_demodulation,[],[f119395,f829])). 83.91/10.90 fof(f119395,plain,( 83.91/10.90 ( ! [X10,X9] : (is_a_theorem(strict_equiv(not(not(implies(X9,X10))),implies(X9,X10)))) )), 83.91/10.90 inference(subsumption_resolution,[],[f119394,f556])). 83.91/10.90 fof(f119394,plain,( 83.91/10.90 ( ! [X10,X9] : (~is_a_theorem(necessarily(or(implies(X9,X10),not(implies(X9,X10))))) | is_a_theorem(strict_equiv(not(not(implies(X9,X10))),implies(X9,X10)))) )), 83.91/10.90 inference(forward_demodulation,[],[f119393,f1191])). 83.91/10.90 fof(f119393,plain,( 83.91/10.90 ( ! [X10,X9] : (~is_a_theorem(necessarily(or(not(implies(X9,X10)),implies(X9,X10)))) | is_a_theorem(strict_equiv(not(not(implies(X9,X10))),implies(X9,X10)))) )), 83.91/10.90 inference(forward_demodulation,[],[f119377,f184])). 83.91/10.90 fof(f119377,plain,( 83.91/10.90 ( ! [X10,X9] : (~is_a_theorem(strict_implies(not(not(implies(X9,X10))),implies(X9,X10))) | is_a_theorem(strict_equiv(not(not(implies(X9,X10))),implies(X9,X10)))) )), 83.91/10.90 inference(resolution,[],[f116186,f239])). 83.91/10.90 fof(f116186,plain,( 83.91/10.90 ( ! [X6,X5] : (is_a_theorem(strict_implies(implies(X5,X6),not(not(implies(X5,X6)))))) )), 83.91/10.90 inference(forward_demodulation,[],[f116185,f131])). 83.91/10.90 fof(f116185,plain,( 83.91/10.90 ( ! [X6,X5] : (is_a_theorem(necessarily(implies(implies(X5,X6),not(not(implies(X5,X6))))))) )), 83.91/10.90 inference(forward_demodulation,[],[f116169,f178])). 83.91/10.90 fof(f178,plain,( 83.91/10.90 ( ! [X4,X2,X3] : (or(and(X2,not(X3)),X4) = implies(implies(X2,X3),X4)) )), 83.91/10.90 inference(forward_demodulation,[],[f167,f132])). 83.91/10.90 fof(f167,plain,( 83.91/10.90 ( ! [X4,X2,X3] : (or(and(X2,not(X3)),X4) = not(and(implies(X2,X3),not(X4)))) )), 83.91/10.90 inference(superposition,[],[f134,f132])). 83.91/10.90 fof(f116169,plain,( 83.91/10.90 ( ! [X6,X5] : (is_a_theorem(necessarily(or(and(X5,not(X6)),not(not(implies(X5,X6))))))) )), 83.91/10.90 inference(superposition,[],[f115976,f132])). 83.91/10.90 fof(f196630,plain,( 83.91/10.90 ( ! [X0,X1] : (~is_a_theorem(not(possibly(not(X0)))) | is_a_theorem(strict_implies(X1,X0))) )), 83.91/10.90 inference(forward_demodulation,[],[f196629,f136661])). 83.91/10.90 fof(f196629,plain,( 83.91/10.90 ( ! [X0,X1] : (~is_a_theorem(necessarily(not(not(X0)))) | is_a_theorem(strict_implies(X1,X0))) )), 83.91/10.90 inference(forward_demodulation,[],[f196584,f577])). 83.91/10.90 fof(f196584,plain,( 83.91/10.90 ( ! [X0,X1] : (is_a_theorem(strict_implies(X1,X0)) | ~is_a_theorem(necessarily(or(X0,X0)))) )), 83.91/10.90 inference(superposition,[],[f196272,f1881])). 83.91/10.90 fof(f196272,plain,( 83.91/10.90 ( ! [X90,X88,X89] : (is_a_theorem(strict_implies(and(not(X88),X90),X89)) | ~is_a_theorem(necessarily(or(X88,X89)))) )), 83.91/10.90 inference(resolution,[],[f3853,f137])). 83.91/10.90 fof(f3853,plain,( 83.91/10.90 ( ! [X4,X5,X3] : (~is_a_theorem(strict_implies(X5,not(X3))) | ~is_a_theorem(necessarily(or(X3,X4))) | is_a_theorem(strict_implies(X5,X4))) )), 83.91/10.90 inference(superposition,[],[f2099,f184])). 83.91/10.90 fof(f52850,plain,( 83.91/10.90 ~spl1_3), 83.91/10.90 inference(avatar_contradiction_clause,[],[f52455])). 83.91/10.90 fof(f52455,plain,( 83.91/10.90 $false | ~spl1_3), 83.91/10.90 inference(resolution,[],[f52450,f556])). 83.91/10.90 fof(f52450,plain,( 83.91/10.90 ( ! [X5] : (~is_a_theorem(X5)) ) | ~spl1_3), 83.91/10.90 inference(avatar_component_clause,[],[f52449])). 83.91/10.90 % SZS output end Proof for theBenchmark 83.91/10.90 % (11709)------------------------------ 83.91/10.90 % (11709)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 83.91/10.90 % (11709)Termination reason: Refutation 83.91/10.90 83.91/10.90 % (11709)Memory used [KB]: 122556 83.91/10.90 % (11709)Time elapsed: 10.525 s 83.91/10.90 % (11709)------------------------------ 83.91/10.90 % (11709)------------------------------ 83.91/10.92 % (11683)Success in time 10.605 s 83.91/10.96 EOF