0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d 0.12/0.34 % Computer : n006.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Thu Jul 2 08:21:15 EDT 2020 0.12/0.34 % CPUTime : 0.19/0.48 % (16496)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 0.19/0.48 % (16508)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 0.19/0.48 % (16497)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 0.19/0.49 % (16498)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 0.19/0.49 % (16506)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 0.19/0.49 % (16500)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 0.19/0.50 % (16504)lrs+1_5:1_afr=on:afp=100000:afq=2.0:amm=off:anc=none:bd=off:fde=none:gs=on:gsaa=full_model:gsem=on:irw=on:lwlo=on:nm=0:nwc=2.5:stl=30:sp=occurrence:uhcvi=on_42 on theBenchmark 0.19/0.50 % (16499)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 0.19/0.50 % (16507)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 0.19/0.50 % (16517)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 0.19/0.50 % (16505)lrs+1011_2:3_add=large:afr=on:afp=100000:afq=1.2:anc=none:gs=on:gsem=off:irw=on:nm=64:nwc=1:stl=30:sd=3:ss=axioms:sos=all:sp=reverse_arity_48 on theBenchmark 0.19/0.50 % (16509)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 0.19/0.50 % (16499)Refutation not found, incomplete strategy% (16499)------------------------------ 0.19/0.50 % (16499)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.19/0.50 % (16499)Termination reason: Refutation not found, incomplete strategy 0.19/0.50 0.19/0.50 % (16499)Memory used [KB]: 6012 0.19/0.50 % (16499)Time elapsed: 0.095 s 0.19/0.50 % (16499)------------------------------ 0.19/0.50 % (16499)------------------------------ 0.19/0.51 % (16495)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 0.19/0.51 % (16516)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 0.19/0.51 % (16495)Refutation not found, incomplete strategy% (16495)------------------------------ 0.19/0.51 % (16495)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.19/0.51 % (16495)Termination reason: Refutation not found, incomplete strategy 0.19/0.51 0.19/0.51 % (16495)Memory used [KB]: 10490 0.19/0.51 % (16495)Time elapsed: 0.103 s 0.19/0.51 % (16495)------------------------------ 0.19/0.51 % (16495)------------------------------ 0.19/0.52 % (16515)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 0.19/0.52 % (16512)dis+1010_3:1_av=off:gsp=input_only:nm=6:nwc=1:sos=all:sp=occurrence_48 on theBenchmark 0.19/0.52 % (16494)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 0.19/0.52 % (16513)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 0.19/0.52 % (16494)Refutation not found, incomplete strategy% (16494)------------------------------ 0.19/0.52 % (16494)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.19/0.52 % (16494)Termination reason: Refutation not found, incomplete strategy 0.19/0.52 0.19/0.52 % (16494)Memory used [KB]: 10490 0.19/0.52 % (16494)Time elapsed: 0.113 s 0.19/0.52 % (16494)------------------------------ 0.19/0.52 % (16494)------------------------------ 0.19/0.53 % (16501)lrs+4_3_av=off:br=off:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 0.19/0.53 % (16501)Refutation not found, incomplete strategy% (16501)------------------------------ 0.19/0.53 % (16501)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.19/0.53 % (16501)Termination reason: Refutation not found, incomplete strategy 0.19/0.53 0.19/0.53 % (16501)Memory used [KB]: 1663 0.19/0.53 % (16501)Time elapsed: 0.079 s 0.19/0.53 % (16501)------------------------------ 0.19/0.53 % (16501)------------------------------ 0.19/0.53 % (16514)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 0.19/0.54 % (16503)lrs+1002_4:1_aac=none:add=off:afr=on:afp=40000:afq=1.0:amm=off:anc=none:cond=on:fsr=off:fde=none:gs=on:gsaa=full_model:lma=on:nm=16:nwc=1:sas=z3:stl=30:sd=7:ss=axioms:sos=on:sp=occurrence:updr=off:uhcvi=on_85 on theBenchmark 0.19/0.54 % (16502)dis+1011_4_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 0.19/0.55 % (16510)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 0.19/0.56 % (16518)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 0.19/0.57 % (16519)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 0.19/0.58 % (16511)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 2.71/0.73 % (16503)Refutation not found, incomplete strategy% (16503)------------------------------ 2.71/0.73 % (16503)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.71/0.73 % (16503)Termination reason: Refutation not found, incomplete strategy 2.71/0.73 2.71/0.73 % (16503)Memory used [KB]: 6012 2.71/0.73 % (16503)Time elapsed: 0.320 s 2.71/0.73 % (16503)------------------------------ 2.71/0.73 % (16503)------------------------------ 3.04/0.75 % (16511)Refutation not found, incomplete strategy% (16511)------------------------------ 3.04/0.75 % (16511)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 3.04/0.75 % (16511)Termination reason: Refutation not found, incomplete strategy 3.04/0.75 3.04/0.75 % (16511)Memory used [KB]: 6012 3.04/0.75 % (16511)Time elapsed: 0.341 s 3.04/0.75 % (16511)------------------------------ 3.04/0.75 % (16511)------------------------------ 4.32/0.92 % (16508)Time limit reached! 4.32/0.92 % (16508)------------------------------ 4.32/0.92 % (16508)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.32/0.92 % (16508)Termination reason: Time limit 4.32/0.92 % (16508)Termination phase: Saturation 4.32/0.92 4.32/0.92 % (16508)Memory used [KB]: 6396 4.32/0.92 % (16508)Time elapsed: 0.500 s 4.32/0.92 % (16508)------------------------------ 4.32/0.92 % (16508)------------------------------ 4.32/0.93 % (16507)Time limit reached! 4.32/0.93 % (16507)------------------------------ 4.32/0.93 % (16507)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.32/0.93 % (16507)Termination reason: Time limit 4.32/0.93 4.32/0.93 % (16507)Memory used [KB]: 7291 4.32/0.93 % (16507)Time elapsed: 0.523 s 4.32/0.93 % (16507)------------------------------ 4.32/0.93 % (16507)------------------------------ 5.47/1.09 % (16500)Time limit reached! 5.47/1.09 % (16500)------------------------------ 5.47/1.09 % (16500)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.47/1.09 % (16500)Termination reason: Time limit 5.47/1.09 5.47/1.09 % (16500)Memory used [KB]: 10874 5.47/1.09 % (16500)Time elapsed: 0.674 s 5.47/1.09 % (16500)------------------------------ 5.47/1.09 % (16500)------------------------------ 7.35/1.30 % (16502)Time limit reached! 7.35/1.30 % (16502)------------------------------ 7.35/1.30 % (16502)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.35/1.30 % (16502)Termination reason: Time limit 7.35/1.30 % (16502)Termination phase: Saturation 7.35/1.30 7.35/1.30 % (16502)Memory used [KB]: 2686 7.35/1.30 % (16502)Time elapsed: 0.900 s 7.35/1.30 % (16502)------------------------------ 7.35/1.30 % (16502)------------------------------ 8.64/1.51 % (16498)Time limit reached! 8.64/1.51 % (16498)------------------------------ 8.64/1.51 % (16498)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 9.28/1.52 % (16498)Termination reason: Time limit 9.28/1.52 % (16498)Termination phase: Saturation 9.28/1.52 9.28/1.52 % (16498)Memory used [KB]: 8443 9.28/1.52 % (16498)Time elapsed: 1.100 s 9.28/1.52 % (16498)------------------------------ 9.28/1.52 % (16498)------------------------------ 36.83/5.03 % (16514)Time limit reached! 36.83/5.03 % (16514)------------------------------ 36.83/5.03 % (16514)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 37.26/5.04 % (16514)Termination reason: Time limit 37.26/5.04 37.26/5.04 % (16514)Memory used [KB]: 38890 37.26/5.04 % (16514)Time elapsed: 4.623 s 37.26/5.04 % (16514)------------------------------ 37.26/5.04 % (16514)------------------------------ 46.52/6.26 % (16504)Time limit reached! 46.52/6.26 % (16504)------------------------------ 46.52/6.26 % (16504)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 46.52/6.26 % (16504)Termination reason: Time limit 46.52/6.26 46.52/6.26 % (16504)Memory used [KB]: 25585 46.52/6.26 % (16504)Time elapsed: 5.846 s 46.52/6.26 % (16504)------------------------------ 46.52/6.26 % (16504)------------------------------ 51.87/6.91 % (16505)Time limit reached! 51.87/6.91 % (16505)------------------------------ 51.87/6.91 % (16505)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 51.87/6.91 % (16512)Time limit reached! 51.87/6.91 % (16512)------------------------------ 51.87/6.91 % (16512)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 51.87/6.91 % (16512)Termination reason: Time limit 51.87/6.91 % (16512)Termination phase: Saturation 51.87/6.91 51.87/6.91 % (16512)Memory used [KB]: 17398 51.87/6.91 % (16512)Time elapsed: 6.400 s 51.87/6.91 % (16512)------------------------------ 51.87/6.91 % (16512)------------------------------ 51.87/6.93 % (16505)Termination reason: Time limit 51.87/6.93 51.87/6.93 % (16505)Memory used [KB]: 11129 51.87/6.93 % (16505)Time elapsed: 6.505 s 51.87/6.93 % (16505)------------------------------ 51.87/6.93 % (16505)------------------------------ 83.25/10.81 % (16497)Refutation found. Thanks to Tanya! 83.25/10.81 % SZS status Theorem for theBenchmark 83.25/10.81 % SZS output start Proof for theBenchmark 83.25/10.81 fof(f58724,plain,( 83.25/10.81 $false), 83.25/10.81 inference(subsumption_resolution,[],[f58079,f31])). 83.25/10.81 fof(f31,plain,( 83.25/10.81 transitive_reflexive_rewrite(a,c)), 83.25/10.81 inference(cnf_transformation,[],[f7])). 83.25/10.81 fof(f7,axiom,( 83.25/10.81 transitive_reflexive_rewrite(a,b) & transitive_reflexive_rewrite(a,c)), 83.25/10.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption)). 83.25/10.81 fof(f58079,plain,( 83.25/10.81 ~transitive_reflexive_rewrite(a,c)), 83.25/10.81 inference(backward_demodulation,[],[f45,f58076])). 83.25/10.81 fof(f58076,plain,( 83.25/10.81 a = b), 83.25/10.81 inference(subsumption_resolution,[],[f58073,f32])). 83.25/10.81 fof(f32,plain,( 83.25/10.81 transitive_reflexive_rewrite(a,b)), 83.25/10.81 inference(cnf_transformation,[],[f7])). 83.25/10.81 fof(f58073,plain,( 83.25/10.81 ~transitive_reflexive_rewrite(a,b) | a = b), 83.25/10.81 inference(duplicate_literal_removal,[],[f56823])). 83.25/10.81 fof(f56823,plain,( 83.25/10.81 ~transitive_reflexive_rewrite(a,b) | a = b | a = b), 83.25/10.81 inference(superposition,[],[f1586,f56649])). 83.25/10.81 fof(f56649,plain,( 83.25/10.81 a = c | a = b), 83.25/10.81 inference(subsumption_resolution,[],[f56648,f31])). 83.25/10.81 fof(f56648,plain,( 83.25/10.81 a = c | a = b | ~transitive_reflexive_rewrite(a,c)), 83.25/10.81 inference(subsumption_resolution,[],[f56647,f32])). 83.25/10.81 fof(f56647,plain,( 83.25/10.81 a = c | a = b | ~transitive_reflexive_rewrite(a,b) | ~transitive_reflexive_rewrite(a,c)), 83.25/10.81 inference(duplicate_literal_removal,[],[f56642])). 83.25/10.81 fof(f56642,plain,( 83.25/10.81 a = c | a = b | a = b | ~transitive_reflexive_rewrite(a,b) | a = b | ~transitive_reflexive_rewrite(a,b) | a = c | ~transitive_reflexive_rewrite(a,c)), 83.25/10.81 inference(resolution,[],[f52994,f122])). 83.25/10.81 fof(f122,plain,( 83.25/10.81 ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(sK0(X0,X1),sK1(sK0(X0,X1),sK0(X0,X2))) | X0 = X1 | ~transitive_reflexive_rewrite(X0,X1) | X0 = X2 | ~transitive_reflexive_rewrite(X0,X2)) )), 83.25/10.81 inference(resolution,[],[f56,f37])). 83.25/10.81 fof(f37,plain,( 83.25/10.81 ( ! [X0,X1] : (rewrite(X0,sK0(X0,X1)) | X0 = X1 | ~transitive_reflexive_rewrite(X0,X1)) )), 83.25/10.81 inference(cnf_transformation,[],[f25])). 83.25/10.81 fof(f25,plain,( 83.25/10.81 ! [X0,X1] : ((rewrite(X0,sK0(X0,X1)) & transitive_reflexive_rewrite(sK0(X0,X1),X1)) | X0 = X1 | ~transitive_reflexive_rewrite(X0,X1))), 83.25/10.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f24])). 83.25/10.81 fof(f24,plain,( 83.25/10.81 ! [X1,X0] : (? [X2] : (rewrite(X0,X2) & transitive_reflexive_rewrite(X2,X1)) => (rewrite(X0,sK0(X0,X1)) & transitive_reflexive_rewrite(sK0(X0,X1),X1)))), 83.25/10.81 introduced(choice_axiom,[])). 83.25/10.81 fof(f17,plain,( 83.25/10.81 ! [X0,X1] : (? [X2] : (rewrite(X0,X2) & transitive_reflexive_rewrite(X2,X1)) | X0 = X1 | ~transitive_reflexive_rewrite(X0,X1))), 83.25/10.81 inference(flattening,[],[f16])). 83.25/10.81 fof(f16,plain,( 83.25/10.81 ! [X0,X1] : ((? [X2] : (rewrite(X0,X2) & transitive_reflexive_rewrite(X2,X1)) | X0 = X1) | ~transitive_reflexive_rewrite(X0,X1))), 83.25/10.81 inference(ennf_transformation,[],[f9])). 83.25/10.81 fof(f9,axiom,( 83.25/10.81 ! [X0,X1] : (transitive_reflexive_rewrite(X0,X1) => (? [X2] : (rewrite(X0,X2) & transitive_reflexive_rewrite(X2,X1)) | X0 = X1))), 83.25/10.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_or_rewrite)). 83.25/10.81 fof(f56,plain,( 83.25/10.81 ( ! [X2,X0,X1] : (~rewrite(X0,X1) | transitive_reflexive_rewrite(sK0(X0,X2),sK1(sK0(X0,X2),X1)) | X0 = X2 | ~transitive_reflexive_rewrite(X0,X2)) )), 83.25/10.81 inference(resolution,[],[f39,f37])). 83.25/10.81 fof(f39,plain,( 83.25/10.81 ( ! [X2,X0,X1] : (~rewrite(X0,X1) | ~rewrite(X0,X2) | transitive_reflexive_rewrite(X1,sK1(X1,X2))) )), 83.25/10.81 inference(cnf_transformation,[],[f27])). 83.25/10.81 fof(f27,plain,( 83.25/10.81 ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X1,sK1(X1,X2)) & transitive_reflexive_rewrite(X2,sK1(X1,X2))) | ~rewrite(X0,X2) | ~rewrite(X0,X1))), 83.25/10.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f19,f26])). 83.25/10.81 fof(f26,plain,( 83.25/10.81 ! [X2,X1] : (? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)) => (transitive_reflexive_rewrite(X1,sK1(X1,X2)) & transitive_reflexive_rewrite(X2,sK1(X1,X2))))), 83.25/10.81 introduced(choice_axiom,[])). 83.25/10.81 fof(f19,plain,( 83.25/10.81 ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)) | ~rewrite(X0,X2) | ~rewrite(X0,X1))), 83.25/10.81 inference(flattening,[],[f18])). 83.25/10.81 fof(f18,plain,( 83.25/10.81 ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)) | (~rewrite(X0,X2) | ~rewrite(X0,X1)))), 83.25/10.81 inference(ennf_transformation,[],[f10])). 83.25/10.81 fof(f10,axiom,( 83.25/10.81 ! [X0,X1,X2] : ((rewrite(X0,X2) & rewrite(X0,X1)) => ? [X3] : (transitive_reflexive_rewrite(X1,X3) & transitive_reflexive_rewrite(X2,X3)))), 83.25/10.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lo_cfl)). 83.25/10.81 fof(f52994,plain,( 83.25/10.81 ( ! [X6] : (~transitive_reflexive_rewrite(sK0(a,b),sK1(sK0(a,X6),sK0(a,c))) | a = c | a = b | a = X6 | ~transitive_reflexive_rewrite(a,X6)) )), 83.25/10.81 inference(subsumption_resolution,[],[f52922,f31])). 83.25/10.81 fof(f52922,plain,( 83.25/10.81 ( ! [X6] : (a = c | ~transitive_reflexive_rewrite(sK0(a,b),sK1(sK0(a,X6),sK0(a,c))) | a = b | a = X6 | ~transitive_reflexive_rewrite(a,X6) | ~transitive_reflexive_rewrite(a,c)) )), 83.25/10.81 inference(duplicate_literal_removal,[],[f52628])). 83.25/10.81 fof(f52628,plain,( 83.25/10.81 ( ! [X6] : (a = c | ~transitive_reflexive_rewrite(sK0(a,b),sK1(sK0(a,X6),sK0(a,c))) | a = b | a = X6 | ~transitive_reflexive_rewrite(a,X6) | a = c | ~transitive_reflexive_rewrite(a,c)) )), 83.25/10.81 inference(resolution,[],[f52417,f73])). 83.25/10.81 fof(f73,plain,( 83.25/10.81 ( ! [X2,X0,X1] : (transitive_reflexive_rewrite(sK0(X0,X1),sK1(sK0(X0,X2),sK0(X0,X1))) | X0 = X2 | ~transitive_reflexive_rewrite(X0,X2) | X0 = X1 | ~transitive_reflexive_rewrite(X0,X1)) )), 83.25/10.81 inference(resolution,[],[f55,f37])). 83.25/10.81 fof(f55,plain,( 83.25/10.81 ( ! [X2,X0,X1] : (~rewrite(X0,X1) | transitive_reflexive_rewrite(X1,sK1(sK0(X0,X2),X1)) | X0 = X2 | ~transitive_reflexive_rewrite(X0,X2)) )), 83.25/10.81 inference(resolution,[],[f38,f37])). 83.25/10.81 fof(f38,plain,( 83.25/10.81 ( ! [X2,X0,X1] : (~rewrite(X0,X1) | ~rewrite(X0,X2) | transitive_reflexive_rewrite(X2,sK1(X1,X2))) )), 83.25/10.81 inference(cnf_transformation,[],[f27])). 83.25/10.81 fof(f52417,plain,( 83.25/10.81 ( ! [X45] : (~transitive_reflexive_rewrite(sK0(a,c),X45) | a = c | ~transitive_reflexive_rewrite(sK0(a,b),X45) | a = b) )), 83.25/10.81 inference(subsumption_resolution,[],[f52184,f51949])). 83.25/10.81 fof(f51949,plain,( 83.25/10.81 ( ! [X117] : (transitive_reflexive_rewrite(c,sK2(sK2(sK0(a,c),sK2(c,c)),X117)) | a = c | ~transitive_reflexive_rewrite(sK0(a,c),X117)) )), 83.25/10.81 inference(subsumption_resolution,[],[f51948,f309])). 83.25/10.81 fof(f309,plain,( 83.25/10.81 transitive_reflexive_rewrite(sK0(a,c),sK2(c,c)) | a = c), 83.25/10.81 inference(duplicate_literal_removal,[],[f306])). 83.25/10.81 fof(f306,plain,( 83.25/10.81 transitive_reflexive_rewrite(sK0(a,c),sK2(c,c)) | a = c | a = c), 83.25/10.81 inference(resolution,[],[f174,f31])). 83.25/10.81 fof(f174,plain,( 83.25/10.81 ( ! [X1] : (~transitive_reflexive_rewrite(X1,c) | transitive_reflexive_rewrite(sK0(X1,c),sK2(c,c)) | c = X1 | a = c) )), 83.25/10.81 inference(resolution,[],[f165,f36])). 83.25/10.81 fof(f36,plain,( 83.25/10.81 ( ! [X0,X1] : (transitive_reflexive_rewrite(sK0(X0,X1),X1) | X0 = X1 | ~transitive_reflexive_rewrite(X0,X1)) )), 83.25/10.81 inference(cnf_transformation,[],[f25])). 83.25/10.81 fof(f165,plain,( 83.25/10.81 ( ! [X4] : (~transitive_reflexive_rewrite(X4,c) | a = c | transitive_reflexive_rewrite(X4,sK2(c,c))) )), 83.25/10.81 inference(resolution,[],[f151,f42])). 83.25/10.81 fof(f42,plain,( 83.25/10.81 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(X1,X2) | ~transitive_reflexive_rewrite(X0,X1) | transitive_reflexive_rewrite(X0,X2)) )), 83.25/10.81 inference(cnf_transformation,[],[f23])). 83.25/10.81 fof(f23,plain,( 83.25/10.81 ! [X0,X1,X2] : (transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,X2))), 83.25/10.81 inference(flattening,[],[f22])). 83.25/10.81 fof(f22,plain,( 83.25/10.81 ! [X0,X1,X2] : (transitive_reflexive_rewrite(X0,X2) | (~transitive_reflexive_rewrite(X0,X1) | ~transitive_reflexive_rewrite(X1,X2)))), 83.25/10.81 inference(ennf_transformation,[],[f8])). 83.25/10.81 fof(f8,axiom,( 83.25/10.81 ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X0,X1) & transitive_reflexive_rewrite(X1,X2)) => transitive_reflexive_rewrite(X0,X2))), 83.25/10.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite)). 83.25/10.81 fof(f151,plain,( 83.25/10.81 transitive_reflexive_rewrite(c,sK2(c,c)) | a = c), 83.25/10.81 inference(resolution,[],[f150,f31])). 83.25/10.81 fof(f150,plain,( 83.25/10.81 ( ! [X0] : (~transitive_reflexive_rewrite(a,X0) | a = X0 | transitive_reflexive_rewrite(X0,sK2(X0,X0))) )), 83.25/10.81 inference(duplicate_literal_removal,[],[f142])). 83.25/10.81 fof(f142,plain,( 83.25/10.81 ( ! [X0] : (transitive_reflexive_rewrite(X0,sK2(X0,X0)) | a = X0 | ~transitive_reflexive_rewrite(a,X0) | a = X0 | ~transitive_reflexive_rewrite(a,X0)) )), 83.25/10.81 inference(resolution,[],[f141,f36])). 83.25/10.81 fof(f141,plain,( 83.25/10.81 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X0),X1) | transitive_reflexive_rewrite(X0,sK2(X0,X1)) | a = X0 | ~transitive_reflexive_rewrite(a,X0)) )), 83.25/10.81 inference(duplicate_literal_removal,[],[f133])). 83.25/10.81 fof(f133,plain,( 83.25/10.81 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X0),X1) | transitive_reflexive_rewrite(X0,sK2(X0,X1)) | a = X0 | ~transitive_reflexive_rewrite(a,X0) | a = X0 | ~transitive_reflexive_rewrite(a,X0)) )), 83.25/10.81 inference(resolution,[],[f61,f36])). 83.25/10.81 fof(f61,plain,( 83.25/10.81 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X0),X2) | ~transitive_reflexive_rewrite(sK0(a,X0),X1) | transitive_reflexive_rewrite(X2,sK2(X2,X1)) | a = X0 | ~transitive_reflexive_rewrite(a,X0)) )), 83.25/10.81 inference(resolution,[],[f40,f37])). 83.25/10.81 fof(f40,plain,( 83.25/10.81 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1) | transitive_reflexive_rewrite(X1,sK2(X1,X2))) )), 83.25/10.81 inference(cnf_transformation,[],[f29])). 83.25/10.81 fof(f29,plain,( 83.25/10.81 ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X2,sK2(X1,X2)) & transitive_reflexive_rewrite(X1,sK2(X1,X2))) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0))), 83.25/10.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f21,f28])). 83.25/10.81 fof(f28,plain,( 83.25/10.81 ! [X2,X1] : (? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)) => (transitive_reflexive_rewrite(X2,sK2(X1,X2)) & transitive_reflexive_rewrite(X1,sK2(X1,X2))))), 83.25/10.81 introduced(choice_axiom,[])). 83.25/10.81 fof(f21,plain,( 83.25/10.81 ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0))), 83.25/10.81 inference(flattening,[],[f20])). 83.25/10.81 fof(f20,plain,( 83.25/10.81 ! [X0,X1,X2] : (? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)) | (~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1) | ~rewrite(a,X0)))), 83.25/10.81 inference(ennf_transformation,[],[f1])). 83.25/10.81 fof(f1,axiom,( 83.25/10.81 ! [X0,X1,X2] : ((transitive_reflexive_rewrite(X0,X2) & transitive_reflexive_rewrite(X0,X1) & rewrite(a,X0)) => ? [X3] : (transitive_reflexive_rewrite(X2,X3) & transitive_reflexive_rewrite(X1,X3)))), 83.25/10.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ih_cfl)). 83.25/10.81 fof(f51948,plain,( 83.25/10.81 ( ! [X117] : (~transitive_reflexive_rewrite(sK0(a,c),X117) | ~transitive_reflexive_rewrite(sK0(a,c),sK2(c,c)) | a = c | transitive_reflexive_rewrite(c,sK2(sK2(sK0(a,c),sK2(c,c)),X117))) )), 83.25/10.81 inference(subsumption_resolution,[],[f51881,f31])). 83.25/10.81 fof(f51881,plain,( 83.25/10.81 ( ! [X117] : (~transitive_reflexive_rewrite(a,c) | ~transitive_reflexive_rewrite(sK0(a,c),X117) | ~transitive_reflexive_rewrite(sK0(a,c),sK2(c,c)) | a = c | transitive_reflexive_rewrite(c,sK2(sK2(sK0(a,c),sK2(c,c)),X117))) )), 83.25/10.81 inference(duplicate_literal_removal,[],[f51746])). 83.25/10.81 fof(f51746,plain,( 83.25/10.81 ( ! [X117] : (~transitive_reflexive_rewrite(a,c) | ~transitive_reflexive_rewrite(sK0(a,c),X117) | ~transitive_reflexive_rewrite(sK0(a,c),sK2(c,c)) | a = c | transitive_reflexive_rewrite(c,sK2(sK2(sK0(a,c),sK2(c,c)),X117)) | a = c) )), 83.25/10.81 inference(resolution,[],[f6123,f854])). 83.25/10.81 fof(f854,plain,( 83.25/10.81 transitive_reflexive_rewrite(c,sK2(sK0(a,c),sK2(c,c))) | a = c), 83.25/10.81 inference(duplicate_literal_removal,[],[f850])). 83.25/10.81 fof(f850,plain,( 83.25/10.81 a = c | transitive_reflexive_rewrite(c,sK2(sK0(a,c),sK2(c,c))) | a = c), 83.25/10.81 inference(resolution,[],[f451,f151])). 83.25/10.81 fof(f451,plain,( 83.25/10.81 ( ! [X2] : (~transitive_reflexive_rewrite(X2,sK2(c,c)) | a = c | transitive_reflexive_rewrite(X2,sK2(sK0(a,c),sK2(c,c)))) )), 83.25/10.81 inference(resolution,[],[f380,f42])). 83.25/10.81 fof(f380,plain,( 83.25/10.81 transitive_reflexive_rewrite(sK2(c,c),sK2(sK0(a,c),sK2(c,c))) | a = c), 83.25/10.81 inference(subsumption_resolution,[],[f378,f31])). 83.25/10.81 fof(f378,plain,( 83.25/10.81 transitive_reflexive_rewrite(sK2(c,c),sK2(sK0(a,c),sK2(c,c))) | a = c | ~transitive_reflexive_rewrite(a,c)), 83.25/10.81 inference(duplicate_literal_removal,[],[f367])). 83.25/10.81 fof(f367,plain,( 83.25/10.81 transitive_reflexive_rewrite(sK2(c,c),sK2(sK0(a,c),sK2(c,c))) | a = c | ~transitive_reflexive_rewrite(a,c) | a = c), 83.25/10.81 inference(resolution,[],[f234,f309])). 83.25/10.81 fof(f234,plain,( 83.25/10.81 ( ! [X4,X5] : (~transitive_reflexive_rewrite(sK0(a,X4),X5) | transitive_reflexive_rewrite(X5,sK2(sK0(a,X4),X5)) | a = X4 | ~transitive_reflexive_rewrite(a,X4)) )), 83.25/10.81 inference(resolution,[],[f62,f43])). 83.25/10.81 fof(f43,plain,( 83.25/10.81 ( ! [X1] : (transitive_reflexive_rewrite(X1,X1)) )), 83.25/10.81 inference(equality_resolution,[],[f34])). 83.25/10.81 fof(f34,plain,( 83.25/10.81 ( ! [X0,X1] : (transitive_reflexive_rewrite(X0,X1) | X0 != X1) )), 83.25/10.81 inference(cnf_transformation,[],[f14])). 83.25/10.81 fof(f14,plain,( 83.25/10.81 ! [X0,X1] : (transitive_reflexive_rewrite(X0,X1) | X0 != X1)), 83.25/10.81 inference(ennf_transformation,[],[f6])). 83.25/10.81 fof(f6,axiom,( 83.25/10.81 ! [X0,X1] : (X0 = X1 => transitive_reflexive_rewrite(X0,X1))), 83.25/10.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality_in_transitive_reflexive_rewrite)). 83.25/10.81 fof(f62,plain,( 83.25/10.81 ( ! [X2,X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X0),X2) | ~transitive_reflexive_rewrite(sK0(a,X0),X1) | transitive_reflexive_rewrite(X1,sK2(X2,X1)) | a = X0 | ~transitive_reflexive_rewrite(a,X0)) )), 83.25/10.81 inference(resolution,[],[f41,f37])). 83.25/10.81 fof(f41,plain,( 83.25/10.81 ( ! [X2,X0,X1] : (~rewrite(a,X0) | ~transitive_reflexive_rewrite(X0,X2) | ~transitive_reflexive_rewrite(X0,X1) | transitive_reflexive_rewrite(X2,sK2(X1,X2))) )), 83.25/10.81 inference(cnf_transformation,[],[f29])). 83.25/10.81 fof(f6123,plain,( 83.25/10.81 ( ! [X10,X8,X7,X9] : (~transitive_reflexive_rewrite(X10,sK2(sK0(a,X7),X9)) | ~transitive_reflexive_rewrite(a,X7) | ~transitive_reflexive_rewrite(sK0(a,X7),X8) | ~transitive_reflexive_rewrite(sK0(a,X7),X9) | a = X7 | transitive_reflexive_rewrite(X10,sK2(sK2(sK0(a,X7),X9),X8))) )), 83.25/10.81 inference(resolution,[],[f491,f42])). 83.25/10.81 fof(f491,plain,( 83.25/10.81 ( ! [X10,X11,X9] : (transitive_reflexive_rewrite(sK2(sK0(a,X9),X10),sK2(sK2(sK0(a,X9),X10),X11)) | a = X9 | ~transitive_reflexive_rewrite(a,X9) | ~transitive_reflexive_rewrite(sK0(a,X9),X11) | ~transitive_reflexive_rewrite(sK0(a,X9),X10)) )), 83.25/10.81 inference(duplicate_literal_removal,[],[f486])). 83.25/10.81 fof(f486,plain,( 83.25/10.81 ( ! [X10,X11,X9] : (~transitive_reflexive_rewrite(sK0(a,X9),X10) | a = X9 | ~transitive_reflexive_rewrite(a,X9) | ~transitive_reflexive_rewrite(sK0(a,X9),X11) | transitive_reflexive_rewrite(sK2(sK0(a,X9),X10),sK2(sK2(sK0(a,X9),X10),X11)) | a = X9 | ~transitive_reflexive_rewrite(a,X9)) )), 83.25/10.81 inference(resolution,[],[f136,f61])). 83.25/10.81 fof(f136,plain,( 83.25/10.81 ( ! [X4,X5] : (transitive_reflexive_rewrite(sK0(a,X4),sK2(sK0(a,X4),X5)) | ~transitive_reflexive_rewrite(sK0(a,X4),X5) | a = X4 | ~transitive_reflexive_rewrite(a,X4)) )), 83.25/10.81 inference(resolution,[],[f61,f43])). 83.25/10.81 fof(f52184,plain,( 83.25/10.81 ( ! [X45] : (~transitive_reflexive_rewrite(c,sK2(sK2(sK0(a,c),sK2(c,c)),X45)) | a = b | a = c | ~transitive_reflexive_rewrite(sK0(a,b),X45) | ~transitive_reflexive_rewrite(sK0(a,c),X45)) )), 83.25/10.81 inference(resolution,[],[f51937,f3067])). 83.25/10.81 fof(f3067,plain,( 83.25/10.81 ( ! [X4,X3] : (transitive_reflexive_rewrite(X4,sK2(sK2(sK0(a,c),sK2(c,c)),X3)) | a = c | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(sK0(a,c),X3)) )), 83.25/10.81 inference(resolution,[],[f884,f42])). 83.25/10.81 fof(f884,plain,( 83.25/10.81 ( ! [X0] : (transitive_reflexive_rewrite(X0,sK2(sK2(sK0(a,c),sK2(c,c)),X0)) | ~transitive_reflexive_rewrite(sK0(a,c),X0) | a = c) )), 83.25/10.81 inference(subsumption_resolution,[],[f879,f31])). 83.25/10.81 fof(f879,plain,( 83.25/10.81 ( ! [X0] : (a = c | ~transitive_reflexive_rewrite(sK0(a,c),X0) | transitive_reflexive_rewrite(X0,sK2(sK2(sK0(a,c),sK2(c,c)),X0)) | ~transitive_reflexive_rewrite(a,c)) )), 83.25/10.81 inference(duplicate_literal_removal,[],[f870])). 83.25/10.81 fof(f870,plain,( 83.25/10.81 ( ! [X0] : (a = c | ~transitive_reflexive_rewrite(sK0(a,c),X0) | transitive_reflexive_rewrite(X0,sK2(sK2(sK0(a,c),sK2(c,c)),X0)) | a = c | ~transitive_reflexive_rewrite(a,c)) )), 83.25/10.81 inference(resolution,[],[f853,f62])). 83.25/10.81 fof(f853,plain,( 83.25/10.81 transitive_reflexive_rewrite(sK0(a,c),sK2(sK0(a,c),sK2(c,c))) | a = c), 83.25/10.81 inference(duplicate_literal_removal,[],[f852])). 83.25/10.81 fof(f852,plain,( 83.25/10.81 a = c | transitive_reflexive_rewrite(sK0(a,c),sK2(sK0(a,c),sK2(c,c))) | a = c), 83.25/10.81 inference(resolution,[],[f451,f309])). 83.25/10.81 fof(f51937,plain,( 83.25/10.81 ( ! [X31] : (~transitive_reflexive_rewrite(sK0(a,b),X31) | ~transitive_reflexive_rewrite(c,X31) | a = b) )), 83.25/10.81 inference(subsumption_resolution,[],[f19944,f51935])). 83.25/10.81 fof(f51935,plain,( 83.25/10.81 ( ! [X111] : (transitive_reflexive_rewrite(b,sK2(sK2(sK0(a,b),sK2(b,b)),X111)) | a = b | ~transitive_reflexive_rewrite(sK0(a,b),X111)) )), 83.25/10.81 inference(subsumption_resolution,[],[f51934,f559])). 83.25/10.81 fof(f559,plain,( 83.25/10.81 transitive_reflexive_rewrite(sK0(a,b),sK2(b,b)) | a = b), 83.25/10.81 inference(duplicate_literal_removal,[],[f556])). 83.25/10.81 fof(f556,plain,( 83.25/10.81 transitive_reflexive_rewrite(sK0(a,b),sK2(b,b)) | a = b | a = b), 83.25/10.81 inference(resolution,[],[f181,f32])). 83.25/10.81 fof(f181,plain,( 83.25/10.81 ( ! [X1] : (~transitive_reflexive_rewrite(X1,b) | transitive_reflexive_rewrite(sK0(X1,b),sK2(b,b)) | b = X1 | a = b) )), 83.25/10.81 inference(resolution,[],[f170,f36])). 83.25/10.81 fof(f170,plain,( 83.25/10.81 ( ! [X4] : (~transitive_reflexive_rewrite(X4,b) | a = b | transitive_reflexive_rewrite(X4,sK2(b,b))) )), 83.25/10.81 inference(resolution,[],[f152,f42])). 83.25/10.81 fof(f152,plain,( 83.25/10.81 transitive_reflexive_rewrite(b,sK2(b,b)) | a = b), 83.25/10.81 inference(resolution,[],[f150,f32])). 83.25/10.81 fof(f51934,plain,( 83.25/10.81 ( ! [X111] : (~transitive_reflexive_rewrite(sK0(a,b),X111) | ~transitive_reflexive_rewrite(sK0(a,b),sK2(b,b)) | a = b | transitive_reflexive_rewrite(b,sK2(sK2(sK0(a,b),sK2(b,b)),X111))) )), 83.25/10.81 inference(subsumption_resolution,[],[f51886,f32])). 83.25/10.81 fof(f51886,plain,( 83.25/10.81 ( ! [X111] : (~transitive_reflexive_rewrite(a,b) | ~transitive_reflexive_rewrite(sK0(a,b),X111) | ~transitive_reflexive_rewrite(sK0(a,b),sK2(b,b)) | a = b | transitive_reflexive_rewrite(b,sK2(sK2(sK0(a,b),sK2(b,b)),X111))) )), 83.25/10.81 inference(duplicate_literal_removal,[],[f51740])). 83.25/10.81 fof(f51740,plain,( 83.25/10.81 ( ! [X111] : (~transitive_reflexive_rewrite(a,b) | ~transitive_reflexive_rewrite(sK0(a,b),X111) | ~transitive_reflexive_rewrite(sK0(a,b),sK2(b,b)) | a = b | transitive_reflexive_rewrite(b,sK2(sK2(sK0(a,b),sK2(b,b)),X111)) | a = b) )), 83.25/10.81 inference(resolution,[],[f6123,f911])). 83.25/10.81 fof(f911,plain,( 83.25/10.81 transitive_reflexive_rewrite(b,sK2(sK0(a,b),sK2(b,b))) | a = b), 83.25/10.81 inference(duplicate_literal_removal,[],[f907])). 83.25/10.81 fof(f907,plain,( 83.25/10.81 a = b | transitive_reflexive_rewrite(b,sK2(sK0(a,b),sK2(b,b))) | a = b), 83.25/10.81 inference(resolution,[],[f609,f152])). 83.25/10.81 fof(f609,plain,( 83.25/10.81 ( ! [X2] : (~transitive_reflexive_rewrite(X2,sK2(b,b)) | a = b | transitive_reflexive_rewrite(X2,sK2(sK0(a,b),sK2(b,b)))) )), 83.25/10.81 inference(resolution,[],[f572,f42])). 83.25/10.81 fof(f572,plain,( 83.25/10.81 transitive_reflexive_rewrite(sK2(b,b),sK2(sK0(a,b),sK2(b,b))) | a = b), 83.25/10.81 inference(subsumption_resolution,[],[f571,f32])). 83.25/10.81 fof(f571,plain,( 83.25/10.81 a = b | transitive_reflexive_rewrite(sK2(b,b),sK2(sK0(a,b),sK2(b,b))) | ~transitive_reflexive_rewrite(a,b)), 83.25/10.81 inference(duplicate_literal_removal,[],[f560])). 83.25/10.81 fof(f560,plain,( 83.25/10.81 a = b | transitive_reflexive_rewrite(sK2(b,b),sK2(sK0(a,b),sK2(b,b))) | a = b | ~transitive_reflexive_rewrite(a,b)), 83.25/10.81 inference(resolution,[],[f559,f234])). 83.25/10.81 fof(f19944,plain,( 83.25/10.81 ( ! [X31] : (~transitive_reflexive_rewrite(b,sK2(sK2(sK0(a,b),sK2(b,b)),X31)) | ~transitive_reflexive_rewrite(c,X31) | ~transitive_reflexive_rewrite(sK0(a,b),X31) | a = b) )), 83.25/10.81 inference(resolution,[],[f3108,f44])). 83.25/10.81 fof(f44,plain,( 83.25/10.81 ( ! [X0] : (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(b,X0)) )), 83.25/10.81 inference(subsumption_resolution,[],[f33,f30])). 83.25/10.81 fof(f30,plain,( 83.25/10.81 ~goal), 83.25/10.81 inference(cnf_transformation,[],[f11])). 83.25/10.81 fof(f11,plain,( 83.25/10.81 ~goal), 83.25/10.81 inference(flattening,[],[f5])). 83.25/10.81 fof(f5,negated_conjecture,( 83.25/10.81 ~goal), 83.25/10.81 inference(negated_conjecture,[],[f4])). 83.25/10.81 fof(f4,conjecture,( 83.25/10.81 goal), 83.25/10.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved)). 83.25/10.81 fof(f33,plain,( 83.25/10.81 ( ! [X0] : (goal | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(b,X0)) )), 83.25/10.81 inference(cnf_transformation,[],[f13])). 83.25/10.81 fof(f13,plain,( 83.25/10.81 ! [X0] : (goal | ~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(b,X0))), 83.25/10.81 inference(flattening,[],[f12])). 83.25/10.81 fof(f12,plain,( 83.25/10.81 ! [X0] : (goal | (~transitive_reflexive_rewrite(c,X0) | ~transitive_reflexive_rewrite(b,X0)))), 83.25/10.81 inference(ennf_transformation,[],[f2])). 83.25/10.81 fof(f2,axiom,( 83.25/10.81 ! [X0] : ((transitive_reflexive_rewrite(c,X0) & transitive_reflexive_rewrite(b,X0)) => goal)), 83.25/10.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',found)). 83.25/10.81 fof(f3108,plain,( 83.25/10.81 ( ! [X4,X3] : (transitive_reflexive_rewrite(X4,sK2(sK2(sK0(a,b),sK2(b,b)),X3)) | a = b | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(sK0(a,b),X3)) )), 83.25/10.81 inference(resolution,[],[f940,f42])). 83.25/10.81 fof(f940,plain,( 83.25/10.81 ( ! [X0] : (transitive_reflexive_rewrite(X0,sK2(sK2(sK0(a,b),sK2(b,b)),X0)) | ~transitive_reflexive_rewrite(sK0(a,b),X0) | a = b) )), 83.25/10.81 inference(subsumption_resolution,[],[f935,f32])). 83.25/10.81 fof(f935,plain,( 83.25/10.81 ( ! [X0] : (a = b | ~transitive_reflexive_rewrite(sK0(a,b),X0) | transitive_reflexive_rewrite(X0,sK2(sK2(sK0(a,b),sK2(b,b)),X0)) | ~transitive_reflexive_rewrite(a,b)) )), 83.25/10.81 inference(duplicate_literal_removal,[],[f926])). 83.25/10.81 fof(f926,plain,( 83.25/10.81 ( ! [X0] : (a = b | ~transitive_reflexive_rewrite(sK0(a,b),X0) | transitive_reflexive_rewrite(X0,sK2(sK2(sK0(a,b),sK2(b,b)),X0)) | a = b | ~transitive_reflexive_rewrite(a,b)) )), 83.25/10.81 inference(resolution,[],[f910,f62])). 83.25/10.81 fof(f910,plain,( 83.25/10.81 transitive_reflexive_rewrite(sK0(a,b),sK2(sK0(a,b),sK2(b,b))) | a = b), 83.25/10.81 inference(duplicate_literal_removal,[],[f909])). 83.25/10.81 fof(f909,plain,( 83.25/10.81 a = b | transitive_reflexive_rewrite(sK0(a,b),sK2(sK0(a,b),sK2(b,b))) | a = b), 83.25/10.81 inference(resolution,[],[f609,f559])). 83.25/10.81 fof(f1586,plain,( 83.25/10.81 ~transitive_reflexive_rewrite(c,b) | a = b), 83.25/10.81 inference(subsumption_resolution,[],[f1585,f32])). 83.25/10.81 fof(f1585,plain,( 83.25/10.81 ~transitive_reflexive_rewrite(c,b) | ~transitive_reflexive_rewrite(a,b) | a = b), 83.25/10.81 inference(duplicate_literal_removal,[],[f1582])). 83.25/10.81 fof(f1582,plain,( 83.25/10.81 ~transitive_reflexive_rewrite(c,b) | ~transitive_reflexive_rewrite(a,b) | a = b | ~transitive_reflexive_rewrite(a,b) | a = b), 83.25/10.81 inference(resolution,[],[f1566,f264])). 83.25/10.81 fof(f264,plain,( 83.25/10.81 ( ! [X3] : (transitive_reflexive_rewrite(X3,sK2(X3,sK2(X3,sK0(a,X3)))) | ~transitive_reflexive_rewrite(a,X3) | a = X3) )), 83.25/10.81 inference(duplicate_literal_removal,[],[f259])). 83.25/10.81 fof(f259,plain,( 83.25/10.81 ( ! [X3] : (a = X3 | ~transitive_reflexive_rewrite(a,X3) | transitive_reflexive_rewrite(X3,sK2(X3,sK2(X3,sK0(a,X3)))) | a = X3 | ~transitive_reflexive_rewrite(a,X3)) )), 83.25/10.81 inference(resolution,[],[f251,f141])). 83.25/10.81 fof(f251,plain,( 83.25/10.81 ( ! [X1] : (transitive_reflexive_rewrite(sK0(a,X1),sK2(X1,sK0(a,X1))) | a = X1 | ~transitive_reflexive_rewrite(a,X1)) )), 83.25/10.81 inference(resolution,[],[f239,f43])). 83.25/10.81 fof(f239,plain,( 83.25/10.81 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X0),X1) | transitive_reflexive_rewrite(X1,sK2(X0,X1)) | a = X0 | ~transitive_reflexive_rewrite(a,X0)) )), 83.25/10.81 inference(duplicate_literal_removal,[],[f231])). 83.25/10.81 fof(f231,plain,( 83.25/10.81 ( ! [X0,X1] : (~transitive_reflexive_rewrite(sK0(a,X0),X1) | transitive_reflexive_rewrite(X1,sK2(X0,X1)) | a = X0 | ~transitive_reflexive_rewrite(a,X0) | a = X0 | ~transitive_reflexive_rewrite(a,X0)) )), 83.25/10.81 inference(resolution,[],[f62,f36])). 83.25/10.81 fof(f1566,plain,( 83.25/10.81 ( ! [X20] : (~transitive_reflexive_rewrite(b,sK2(X20,sK2(X20,sK0(a,X20)))) | ~transitive_reflexive_rewrite(c,X20) | ~transitive_reflexive_rewrite(a,X20) | a = X20) )), 83.25/10.81 inference(resolution,[],[f268,f44])). 83.25/10.81 fof(f268,plain,( 83.25/10.81 ( ! [X4,X3] : (transitive_reflexive_rewrite(X4,sK2(X3,sK2(X3,sK0(a,X3)))) | a = X3 | ~transitive_reflexive_rewrite(X4,X3) | ~transitive_reflexive_rewrite(a,X3)) )), 83.25/10.81 inference(resolution,[],[f264,f42])). 83.25/10.81 fof(f45,plain,( 83.25/10.81 ~transitive_reflexive_rewrite(b,c)), 83.25/10.81 inference(resolution,[],[f44,f43])). 83.25/10.81 % SZS output end Proof for theBenchmark 83.25/10.81 % (16497)------------------------------ 83.25/10.81 % (16497)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 83.25/10.81 % (16497)Termination reason: Refutation 83.25/10.81 83.25/10.81 % (16497)Memory used [KB]: 59743 83.25/10.81 % (16497)Time elapsed: 10.412 s 83.25/10.81 % (16497)------------------------------ 83.25/10.81 % (16497)------------------------------ 83.25/10.82 % (16493)Success in time 10.463 s 83.25/10.86 EOF