0.13/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.14 % Command : run_vampire %s %d 0.13/0.36 % Computer : n009.cluster.edu 0.13/0.36 % Model : x86_64 x86_64 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.36 % Memory : 8042.1875MB 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.36 % CPULimit : 1200 0.13/0.36 % WCLimit : 120 0.13/0.36 % DateTime : Tue Jul 13 16:45:12 EDT 2021 0.13/0.36 % CPUTime : 0.22/0.43 % (7594)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_461 on theBenchmark 0.22/0.43 % (7593)lrs+1_128_add=off:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bs=unit_only:gs=on:gsem=off:lwlo=on:nm=2:nwc=1:sas=z3:stl=90:sac=on:sp=occurrence:urr=on:updr=off:uhcvi=on_520 on theBenchmark 0.22/0.48 % (7601)ott-1_50_afr=on:afp=1000:afq=1.2:amm=sco:anc=none:bsr=on:cond=fast:fsr=off:fde=none:irw=on:nm=16:nwc=1.5:updr=off:uhcvi=on_1883 on theBenchmark 0.22/0.50 % (7589)dis+1002_2_add=off:afr=on:afp=10000:afq=2.0:amm=off:anc=none:cond=on:er=filter:fsr=off:nm=0:nwc=1.3:sp=occurrence_3 on theBenchmark 0.22/0.50 % (7590)ott+1010_8:1_add=off:afp=4000:afq=1.4:amm=off:anc=all:bd=off:bsr=on:fsr=off:fde=unused:irw=on:lma=on:nwc=4:nicw=on:sac=on:sp=reverse_arity:urr=on:updr=off:uhcvi=on_10 on theBenchmark 0.22/0.50 % (7585)lrs+11_24_add=large:afr=on:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=fast:fde=unused:gs=on:irw=on:lma=on:nm=4:nwc=1.3:nicw=on:sas=z3:stl=30:sac=on:sp=reverse_arity:uhcvi=on_136 on theBenchmark 0.22/0.50 % (7596)dis+10_128_acc=on:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:bce=on:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_122 on theBenchmark 0.22/0.50 % (7598)ott+1_28_av=off:bs=unit_only:cond=on:irw=on:nm=64:nwc=2:sp=occurrence:updr=off:uhcvi=on_1052 on theBenchmark 0.22/0.51 % (7592)ott+11_20_afr=on:afp=100000:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_294 on theBenchmark 0.22/0.51 % (7595)ott+11_20_afp=10000:afq=1.1:anc=none:bs=unit_only:bsr=on:bce=on:fsr=off:gs=on:gsem=on:nwc=2.5:sas=z3:sp=occurrence:updr=off:uhcvi=on_385 on theBenchmark 0.22/0.51 % (7597)dis+1_24_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1.5:sp=occurrence:updr=off_16 on theBenchmark 0.22/0.51 % (7600)ott+4_4:1_acc=model:add=large:afr=on:afp=10000:afq=1.4:amm=off:anc=none:bd=preordered:bs=unit_only:ccuc=first:cond=on:gs=on:nm=32:nwc=1.5:sac=on:urr=on:updr=off_355 on theBenchmark 0.22/0.52 % (7591)dis+11_5:4_acc=on:add=large:afr=on:afp=4000:afq=2.0:amm=off:anc=none:ccuc=small_ones:fsr=off:irw=on:nm=32:nwc=2.5:nicw=on:urr=on:updr=off_10 on theBenchmark 0.22/0.52 % (7599)lrs+11_128_add=large:afr=on:afp=10000:afq=1.2:amm=sco:anc=none:bs=unit_only:cond=on:nwc=1.3:stl=30:sac=on:uhcvi=on_236 on theBenchmark 0.22/0.52 % (7588)lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:stl=30:sp=occurrence_75 on theBenchmark 0.22/0.53 % (7586)lrs+11_5_av=off:cond=on:fsr=off:lma=on:lwlo=on:nwc=1.2:sas=z3:stl=30:sp=reverse_arity:updr=off_123 on theBenchmark 0.22/0.53 % (7587)dis+11_50_add=large:afp=1000:afq=1.0:amm=sco:anc=none:fsr=off:nm=16:nwc=1.5:sac=on_13 on theBenchmark 0.22/0.54 % (7602)lrs+11_64_acc=model:afp=100000:afq=1.2:anc=all_dependent:bd=off:bs=unit_only:cond=fast:fsr=off:gs=on:gsaa=full_model:gsem=off:irw=on:lma=on:nwc=1:stl=150:sac=on:sp=reverse_arity:urr=on:updr=off_893 on theBenchmark 4.64/1.03 % (7589)Time limit reached! 4.64/1.03 % (7589)------------------------------ 4.64/1.03 % (7589)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.64/1.03 % (7589)Termination reason: Time limit 4.64/1.03 4.64/1.03 % (7589)Memory used [KB]: 14967 4.64/1.03 % (7589)Time elapsed: 0.601 s 4.64/1.03 % (7589)------------------------------ 4.64/1.03 % (7589)------------------------------ 12.45/1.97 % (7591)Time limit reached! 12.45/1.97 % (7591)------------------------------ 12.45/1.97 % (7591)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 12.45/1.97 % (7591)Termination reason: Time limit 12.45/1.97 12.45/1.97 % (7591)Memory used [KB]: 29295 12.45/1.97 % (7591)Time elapsed: 1.518 s 12.45/1.97 % (7591)------------------------------ 12.45/1.97 % (7591)------------------------------ 14.26/2.16 % (7590)Time limit reached! 14.26/2.16 % (7590)------------------------------ 14.26/2.16 % (7590)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 14.26/2.16 % (7590)Termination reason: Time limit 14.26/2.16 % (7590)Termination phase: Saturation 14.26/2.16 14.26/2.16 % (7590)Memory used [KB]: 53474 14.26/2.16 % (7590)Time elapsed: 1.500 s 14.26/2.16 % (7590)------------------------------ 14.26/2.16 % (7590)------------------------------ 14.87/2.26 % (7587)Time limit reached! 14.87/2.26 % (7587)------------------------------ 14.87/2.26 % (7587)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 14.87/2.26 % (7587)Termination reason: Time limit 14.87/2.26 % (7587)Termination phase: Saturation 14.87/2.26 14.87/2.26 % (7587)Memory used [KB]: 33261 14.87/2.26 % (7587)Time elapsed: 1.800 s 14.87/2.26 % (7587)------------------------------ 14.87/2.26 % (7587)------------------------------ 18.03/2.67 % (7597)Time limit reached! 18.03/2.67 % (7597)------------------------------ 18.03/2.67 % (7597)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 18.03/2.67 % (7597)Termination reason: Time limit 18.03/2.67 18.03/2.67 % (7597)Memory used [KB]: 40681 18.03/2.67 % (7597)Time elapsed: 2.241 s 18.03/2.67 % (7597)------------------------------ 18.03/2.67 % (7597)------------------------------ 37.65/5.14 % (7586)Refutation found. Thanks to Tanya! 37.65/5.14 % SZS status Theorem for theBenchmark 37.91/5.16 % SZS output start Proof for theBenchmark 37.91/5.16 fof(f103579,plain,( 37.91/5.16 $false), 37.91/5.16 inference(trivial_inequality_removal,[],[f103498])). 37.91/5.16 fof(f103498,plain,( 37.91/5.16 sK0 != sK0), 37.91/5.16 inference(superposition,[],[f48,f103275])). 37.91/5.16 fof(f103275,plain,( 37.91/5.16 sK0 = join(sK0,composition(sK2,converse(sK1)))), 37.91/5.16 inference(forward_demodulation,[],[f103274,f1393])). 37.91/5.16 fof(f1393,plain,( 37.91/5.16 ( ! [X4] : (join(zero,X4) = X4) )), 37.91/5.16 inference(backward_demodulation,[],[f906,f1384])). 37.91/5.16 fof(f1384,plain,( 37.91/5.16 ( ! [X0] : (join(X0,zero) = X0) )), 37.91/5.16 inference(superposition,[],[f914,f1292])). 37.91/5.16 fof(f1292,plain,( 37.91/5.16 ( ! [X3] : (join(zero,complement(complement(X3))) = X3) )), 37.91/5.16 inference(backward_demodulation,[],[f572,f1290])). 37.91/5.16 fof(f1290,plain,( 37.91/5.16 ( ! [X1] : (complement(X1) = join(complement(X1),complement(X1))) )), 37.91/5.16 inference(forward_demodulation,[],[f1260,f1277])). 37.91/5.16 fof(f1277,plain,( 37.91/5.16 ( ! [X2] : (composition(one,X2) = X2) )), 37.91/5.16 inference(backward_demodulation,[],[f1241,f1257])). 37.91/5.16 fof(f1257,plain,( 37.91/5.16 one = converse(one)), 37.91/5.16 inference(superposition,[],[f1241,f25])). 37.91/5.16 fof(f25,plain,( 37.91/5.16 ( ! [X0] : (composition(X0,one) = X0) )), 37.91/5.16 inference(cnf_transformation,[],[f5])). 37.91/5.16 fof(f5,axiom,( 37.91/5.16 ! [X0] : composition(X0,one) = X0), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity)). 37.91/5.16 fof(f1241,plain,( 37.91/5.16 ( ! [X2] : (composition(converse(one),X2) = X2) )), 37.91/5.16 inference(forward_demodulation,[],[f1217,f24])). 37.91/5.16 fof(f24,plain,( 37.91/5.16 ( ! [X0] : (converse(converse(X0)) = X0) )), 37.91/5.16 inference(cnf_transformation,[],[f1])). 37.91/5.16 fof(f1,axiom,( 37.91/5.16 ! [X0] : converse(converse(X0)) = X0), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence)). 37.91/5.16 fof(f1217,plain,( 37.91/5.16 ( ! [X2] : (converse(converse(X2)) = composition(converse(one),X2)) )), 37.91/5.16 inference(superposition,[],[f61,f25])). 37.91/5.16 fof(f61,plain,( 37.91/5.16 ( ! [X0,X1] : (composition(converse(X1),X0) = converse(composition(converse(X0),X1))) )), 37.91/5.16 inference(superposition,[],[f31,f24])). 37.91/5.16 fof(f31,plain,( 37.91/5.16 ( ! [X0,X1] : (converse(composition(X0,X1)) = composition(converse(X1),converse(X0))) )), 37.91/5.16 inference(cnf_transformation,[],[f8])). 37.91/5.16 fof(f8,axiom,( 37.91/5.16 ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0))), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity)). 37.91/5.16 fof(f1260,plain,( 37.91/5.16 ( ! [X1] : (complement(X1) = join(complement(composition(one,X1)),complement(X1))) )), 37.91/5.16 inference(superposition,[],[f32,f1241])). 37.91/5.16 fof(f32,plain,( 37.91/5.16 ( ! [X0,X1] : (complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))) )), 37.91/5.16 inference(cnf_transformation,[],[f11])). 37.91/5.16 fof(f11,axiom,( 37.91/5.16 ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity)). 37.91/5.16 fof(f572,plain,( 37.91/5.16 ( ! [X3] : (join(zero,complement(join(complement(X3),complement(X3)))) = X3) )), 37.91/5.16 inference(forward_demodulation,[],[f546,f44])). 37.91/5.16 fof(f44,plain,( 37.91/5.16 zero = complement(top)), 37.91/5.16 inference(backward_demodulation,[],[f40,f27])). 37.91/5.16 fof(f27,plain,( 37.91/5.16 ( ! [X0] : (join(X0,complement(X0)) = top) )), 37.91/5.16 inference(cnf_transformation,[],[f3])). 37.91/5.16 fof(f3,axiom,( 37.91/5.16 ! [X0] : join(X0,complement(X0)) = top), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top)). 37.91/5.16 fof(f40,plain,( 37.91/5.16 ( ! [X0] : (zero = complement(join(complement(X0),complement(complement(X0))))) )), 37.91/5.16 inference(definition_unfolding,[],[f26,f29])). 37.91/5.16 fof(f29,plain,( 37.91/5.16 ( ! [X0,X1] : (meet(X0,X1) = complement(join(complement(X0),complement(X1)))) )), 37.91/5.16 inference(cnf_transformation,[],[f2])). 37.91/5.16 fof(f2,axiom,( 37.91/5.16 ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1)))), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet)). 37.91/5.16 fof(f26,plain,( 37.91/5.16 ( ! [X0] : (zero = meet(X0,complement(X0))) )), 37.91/5.16 inference(cnf_transformation,[],[f6])). 37.91/5.16 fof(f6,axiom,( 37.91/5.16 ! [X0] : zero = meet(X0,complement(X0))), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero)). 37.91/5.16 fof(f546,plain,( 37.91/5.16 ( ! [X3] : (join(complement(top),complement(join(complement(X3),complement(X3)))) = X3) )), 37.91/5.16 inference(superposition,[],[f33,f27])). 37.91/5.16 fof(f33,plain,( 37.91/5.16 ( ! [X0,X1] : (join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0) )), 37.91/5.16 inference(cnf_transformation,[],[f7])). 37.91/5.16 fof(f7,axiom,( 37.91/5.16 ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan)). 37.91/5.16 fof(f914,plain,( 37.91/5.16 ( ! [X2] : (join(zero,X2) = join(join(zero,X2),zero)) )), 37.91/5.16 inference(forward_demodulation,[],[f912,f24])). 37.91/5.16 fof(f912,plain,( 37.91/5.16 ( ! [X2] : (join(join(zero,X2),zero) = converse(converse(join(zero,X2)))) )), 37.91/5.16 inference(superposition,[],[f268,f702])). 37.91/5.16 fof(f702,plain,( 37.91/5.16 ( ! [X0] : (join(zero,X0) = join(zero,join(zero,X0))) )), 37.91/5.16 inference(forward_demodulation,[],[f694,f44])). 37.91/5.16 fof(f694,plain,( 37.91/5.16 ( ! [X0] : (join(zero,X0) = join(zero,join(complement(top),X0))) )), 37.91/5.16 inference(backward_demodulation,[],[f617,f690])). 37.91/5.16 fof(f690,plain,( 37.91/5.16 top = join(top,top)), 37.91/5.16 inference(forward_demodulation,[],[f689,f331])). 37.91/5.16 fof(f331,plain,( 37.91/5.16 ( ! [X0] : (top = join(complement(X0),X0)) )), 37.91/5.16 inference(forward_demodulation,[],[f297,f24])). 37.91/5.16 fof(f297,plain,( 37.91/5.16 ( ! [X0] : (join(complement(X0),X0) = converse(converse(top))) )), 37.91/5.16 inference(superposition,[],[f268,f27])). 37.91/5.16 fof(f689,plain,( 37.91/5.16 join(top,top) = join(complement(zero),zero)), 37.91/5.16 inference(forward_demodulation,[],[f688,f577])). 37.91/5.16 fof(f577,plain,( 37.91/5.16 zero = join(zero,complement(join(top,top)))), 37.91/5.16 inference(forward_demodulation,[],[f576,f44])). 37.91/5.16 fof(f576,plain,( 37.91/5.16 zero = join(complement(top),complement(join(top,top)))), 37.91/5.16 inference(forward_demodulation,[],[f575,f27])). 37.91/5.16 fof(f575,plain,( 37.91/5.16 zero = join(complement(join(zero,complement(zero))),complement(join(top,top)))), 37.91/5.16 inference(forward_demodulation,[],[f574,f44])). 37.91/5.16 fof(f574,plain,( 37.91/5.16 zero = join(complement(join(complement(top),complement(zero))),complement(join(top,top)))), 37.91/5.16 inference(forward_demodulation,[],[f552,f28])). 37.91/5.16 fof(f28,plain,( 37.91/5.16 ( ! [X0,X1] : (join(X0,X1) = join(X1,X0)) )), 37.91/5.16 inference(cnf_transformation,[],[f12])). 37.91/5.16 fof(f12,axiom,( 37.91/5.16 ! [X0,X1] : join(X0,X1) = join(X1,X0)), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity)). 37.91/5.16 fof(f552,plain,( 37.91/5.16 zero = join(complement(join(complement(zero),complement(top))),complement(join(top,top)))), 37.91/5.16 inference(superposition,[],[f33,f341])). 37.91/5.16 fof(f341,plain,( 37.91/5.16 join(top,top) = join(complement(zero),top)), 37.91/5.16 inference(forward_demodulation,[],[f310,f24])). 37.91/5.16 fof(f310,plain,( 37.91/5.16 join(complement(zero),top) = converse(converse(join(top,top)))), 37.91/5.16 inference(superposition,[],[f268,f108])). 37.91/5.16 fof(f108,plain,( 37.91/5.16 join(top,complement(zero)) = join(top,top)), 37.91/5.16 inference(superposition,[],[f85,f27])). 37.91/5.16 fof(f85,plain,( 37.91/5.16 ( ! [X16] : (join(top,join(zero,X16)) = join(top,X16)) )), 37.91/5.16 inference(superposition,[],[f34,f47])). 37.91/5.16 fof(f47,plain,( 37.91/5.16 top = join(top,zero)), 37.91/5.16 inference(superposition,[],[f27,f44])). 37.91/5.16 fof(f34,plain,( 37.91/5.16 ( ! [X2,X0,X1] : (join(join(X0,X1),X2) = join(X0,join(X1,X2))) )), 37.91/5.16 inference(cnf_transformation,[],[f10])). 37.91/5.16 fof(f10,axiom,( 37.91/5.16 ! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2))), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity)). 37.91/5.16 fof(f688,plain,( 37.91/5.16 join(top,top) = join(complement(join(zero,complement(join(top,top)))),zero)), 37.91/5.16 inference(forward_demodulation,[],[f687,f28])). 37.91/5.16 fof(f687,plain,( 37.91/5.16 join(top,top) = join(complement(join(complement(join(top,top)),zero)),zero)), 37.91/5.16 inference(forward_demodulation,[],[f680,f44])). 37.91/5.16 fof(f680,plain,( 37.91/5.16 join(top,top) = join(complement(join(complement(join(top,top)),complement(top))),complement(top))), 37.91/5.16 inference(superposition,[],[f33,f662])). 37.91/5.16 fof(f662,plain,( 37.91/5.16 top = join(complement(join(top,top)),top)), 37.91/5.16 inference(forward_demodulation,[],[f660,f24])). 37.91/5.16 fof(f660,plain,( 37.91/5.16 converse(converse(top)) = join(complement(join(top,top)),top)), 37.91/5.16 inference(superposition,[],[f268,f619])). 37.91/5.16 fof(f619,plain,( 37.91/5.16 top = join(top,complement(join(top,top)))), 37.91/5.16 inference(forward_demodulation,[],[f618,f47])). 37.91/5.16 fof(f618,plain,( 37.91/5.16 join(top,zero) = join(top,complement(join(top,top)))), 37.91/5.16 inference(forward_demodulation,[],[f614,f28])). 37.91/5.16 fof(f614,plain,( 37.91/5.16 join(zero,top) = join(top,complement(join(top,top)))), 37.91/5.16 inference(superposition,[],[f339,f577])). 37.91/5.16 fof(f339,plain,( 37.91/5.16 ( ! [X14] : (join(top,X14) = join(join(zero,X14),top)) )), 37.91/5.16 inference(forward_demodulation,[],[f308,f24])). 37.91/5.16 fof(f308,plain,( 37.91/5.16 ( ! [X14] : (join(join(zero,X14),top) = converse(converse(join(top,X14)))) )), 37.91/5.16 inference(superposition,[],[f268,f85])). 37.91/5.16 fof(f617,plain,( 37.91/5.16 ( ! [X0] : (join(zero,X0) = join(zero,join(complement(join(top,top)),X0))) )), 37.91/5.16 inference(superposition,[],[f34,f577])). 37.91/5.16 fof(f268,plain,( 37.91/5.16 ( ! [X8,X9] : (join(X8,X9) = converse(converse(join(X9,X8)))) )), 37.91/5.16 inference(forward_demodulation,[],[f267,f30])). 37.91/5.16 fof(f30,plain,( 37.91/5.16 ( ! [X0,X1] : (converse(join(X0,X1)) = join(converse(X0),converse(X1))) )), 37.91/5.16 inference(cnf_transformation,[],[f13])). 37.91/5.16 fof(f13,axiom,( 37.91/5.16 ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1))), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity)). 37.91/5.16 fof(f267,plain,( 37.91/5.16 ( ! [X8,X9] : (join(X8,X9) = converse(join(converse(X9),converse(X8)))) )), 37.91/5.16 inference(forward_demodulation,[],[f228,f24])). 37.91/5.16 fof(f228,plain,( 37.91/5.16 ( ! [X8,X9] : (converse(join(converse(X9),converse(X8))) = converse(converse(join(X8,X9)))) )), 37.91/5.16 inference(superposition,[],[f191,f30])). 37.91/5.16 fof(f191,plain,( 37.91/5.16 ( ! [X2,X3] : (converse(join(X2,X3)) = converse(join(X3,X2))) )), 37.91/5.16 inference(superposition,[],[f56,f30])). 37.91/5.16 fof(f56,plain,( 37.91/5.16 ( ! [X2,X3] : (join(converse(X3),converse(X2)) = converse(join(X2,X3))) )), 37.91/5.16 inference(superposition,[],[f30,f28])). 37.91/5.16 fof(f906,plain,( 37.91/5.16 ( ! [X4] : (join(X4,zero) = join(zero,join(X4,zero))) )), 37.91/5.16 inference(superposition,[],[f702,f28])). 37.91/5.16 fof(f103274,plain,( 37.91/5.16 join(sK0,composition(sK2,converse(sK1))) = join(zero,sK0)), 37.91/5.16 inference(forward_demodulation,[],[f103273,f28])). 37.91/5.16 fof(f103273,plain,( 37.91/5.16 join(sK0,composition(sK2,converse(sK1))) = join(sK0,zero)), 37.91/5.16 inference(forward_demodulation,[],[f102730,f44])). 37.91/5.16 fof(f102730,plain,( 37.91/5.16 join(sK0,composition(sK2,converse(sK1))) = join(sK0,complement(top))), 37.91/5.16 inference(superposition,[],[f22278,f50129])). 37.91/5.16 fof(f50129,plain,( 37.91/5.16 top = join(complement(composition(sK2,converse(sK1))),sK0)), 37.91/5.16 inference(forward_demodulation,[],[f50065,f24])). 37.91/5.16 fof(f50065,plain,( 37.91/5.16 converse(converse(top)) = join(complement(composition(sK2,converse(sK1))),sK0)), 37.91/5.16 inference(superposition,[],[f268,f49914])). 37.91/5.16 fof(f49914,plain,( 37.91/5.16 top = join(sK0,complement(composition(sK2,converse(sK1))))), 37.91/5.16 inference(forward_demodulation,[],[f49913,f2056])). 37.91/5.16 fof(f2056,plain,( 37.91/5.16 ( ! [X21] : (top = join(complement(X21),top)) )), 37.91/5.16 inference(forward_demodulation,[],[f1995,f27])). 37.91/5.16 fof(f1995,plain,( 37.91/5.16 ( ! [X21] : (top = join(complement(X21),join(complement(X21),complement(complement(X21))))) )), 37.91/5.16 inference(superposition,[],[f87,f1290])). 37.91/5.16 fof(f87,plain,( 37.91/5.16 ( ! [X4,X3] : (top = join(X3,join(X4,complement(join(X3,X4))))) )), 37.91/5.16 inference(superposition,[],[f34,f27])). 37.91/5.16 fof(f49913,plain,( 37.91/5.16 join(sK0,complement(composition(sK2,converse(sK1)))) = join(complement(join(complement(join(sK0,complement(composition(sK2,converse(sK1))))),top)),top)), 37.91/5.16 inference(forward_demodulation,[],[f49831,f1422])). 37.91/5.16 fof(f1422,plain,( 37.91/5.16 top = complement(zero)), 37.91/5.16 inference(superposition,[],[f1393,f27])). 37.91/5.16 fof(f49831,plain,( 37.91/5.16 join(sK0,complement(composition(sK2,converse(sK1)))) = join(complement(join(complement(join(sK0,complement(composition(sK2,converse(sK1))))),complement(zero))),complement(zero))), 37.91/5.16 inference(superposition,[],[f33,f49719])). 37.91/5.16 fof(f49719,plain,( 37.91/5.16 zero = join(complement(join(sK0,complement(composition(sK2,converse(sK1))))),zero)), 37.91/5.16 inference(forward_demodulation,[],[f49718,f28])). 37.91/5.16 fof(f49718,plain,( 37.91/5.16 zero = join(complement(join(complement(composition(sK2,converse(sK1))),sK0)),zero)), 37.91/5.16 inference(forward_demodulation,[],[f49717,f44])). 37.91/5.16 fof(f49717,plain,( 37.91/5.16 complement(top) = join(complement(join(complement(composition(sK2,converse(sK1))),sK0)),complement(top))), 37.91/5.16 inference(forward_demodulation,[],[f49716,f2099])). 37.91/5.16 fof(f2099,plain,( 37.91/5.16 ( ! [X1] : (top = join(top,X1)) )), 37.91/5.16 inference(forward_demodulation,[],[f2088,f338])). 37.91/5.16 fof(f338,plain,( 37.91/5.16 top = join(zero,top)), 37.91/5.16 inference(forward_demodulation,[],[f307,f24])). 37.91/5.16 fof(f307,plain,( 37.91/5.16 join(zero,top) = converse(converse(top))), 37.91/5.16 inference(superposition,[],[f268,f47])). 37.91/5.16 fof(f2088,plain,( 37.91/5.16 ( ! [X1] : (join(zero,top) = join(top,X1)) )), 37.91/5.16 inference(backward_demodulation,[],[f495,f2087])). 37.91/5.16 fof(f2087,plain,( 37.91/5.16 ( ! [X4] : (top = join(X4,top)) )), 37.91/5.16 inference(forward_demodulation,[],[f2062,f27])). 37.91/5.16 fof(f2062,plain,( 37.91/5.16 ( ! [X4] : (top = join(X4,join(X4,complement(X4)))) )), 37.91/5.16 inference(superposition,[],[f87,f1981])). 37.91/5.16 fof(f1981,plain,( 37.91/5.16 ( ! [X0] : (join(X0,X0) = X0) )), 37.91/5.16 inference(superposition,[],[f1290,f1420])). 37.91/5.16 fof(f1420,plain,( 37.91/5.16 ( ! [X1] : (complement(complement(X1)) = X1) )), 37.91/5.16 inference(superposition,[],[f1393,f1292])). 37.91/5.16 fof(f495,plain,( 37.91/5.16 ( ! [X1] : (join(top,X1) = join(zero,join(X1,top))) )), 37.91/5.16 inference(superposition,[],[f339,f34])). 37.91/5.16 fof(f49716,plain,( 37.91/5.16 complement(join(top,sK0)) = join(complement(join(complement(composition(sK2,converse(sK1))),sK0)),complement(join(top,sK0)))), 37.91/5.16 inference(forward_demodulation,[],[f49715,f28])). 37.91/5.16 fof(f49715,plain,( 37.91/5.16 complement(join(sK0,top)) = join(complement(join(complement(composition(sK2,converse(sK1))),sK0)),complement(join(sK0,top)))), 37.91/5.16 inference(forward_demodulation,[],[f49714,f1422])). 37.91/5.16 fof(f49714,plain,( 37.91/5.16 complement(join(sK0,complement(zero))) = join(complement(join(complement(composition(sK2,converse(sK1))),sK0)),complement(join(sK0,complement(zero))))), 37.91/5.16 inference(forward_demodulation,[],[f49713,f28])). 37.91/5.16 fof(f49713,plain,( 37.91/5.16 complement(join(complement(zero),sK0)) = join(complement(join(complement(composition(sK2,converse(sK1))),sK0)),complement(join(complement(zero),sK0)))), 37.91/5.16 inference(forward_demodulation,[],[f49712,f1420])). 37.91/5.16 fof(f49712,plain,( 37.91/5.16 complement(join(complement(zero),complement(complement(sK0)))) = join(complement(join(complement(composition(sK2,converse(sK1))),complement(complement(sK0)))),complement(join(complement(zero),complement(complement(sK0)))))), 37.91/5.16 inference(forward_demodulation,[],[f49711,f41776])). 37.91/5.16 fof(f41776,plain,( 37.91/5.16 ( ! [X50,X49] : (complement(join(complement(X49),complement(X50))) = complement(join(complement(X50),complement(X49)))) )), 37.91/5.16 inference(forward_demodulation,[],[f41775,f2461])). 37.91/5.16 fof(f2461,plain,( 37.91/5.16 ( ! [X6,X7] : (join(X6,X7) = join(X7,join(X6,X7))) )), 37.91/5.16 inference(forward_demodulation,[],[f2412,f2061])). 37.91/5.16 fof(f2061,plain,( 37.91/5.16 ( ! [X2,X3] : (join(X2,X3) = join(X2,join(X2,X3))) )), 37.91/5.16 inference(superposition,[],[f34,f1981])). 37.91/5.16 fof(f2412,plain,( 37.91/5.16 ( ! [X6,X7] : (join(X6,X7) = join(X7,join(X6,join(X6,X7)))) )), 37.91/5.16 inference(superposition,[],[f80,f1981])). 37.91/5.16 fof(f80,plain,( 37.91/5.16 ( ! [X4,X2,X3] : (join(X2,join(X3,X4)) = join(join(X3,X2),X4)) )), 37.91/5.16 inference(superposition,[],[f34,f28])). 37.91/5.16 fof(f41775,plain,( 37.91/5.16 ( ! [X50,X49] : (complement(join(complement(X50),complement(X49))) = complement(join(complement(X50),join(complement(X49),complement(X50))))) )), 37.91/5.16 inference(forward_demodulation,[],[f41774,f1277])). 37.91/5.16 fof(f41774,plain,( 37.91/5.16 ( ! [X50,X49] : (complement(join(complement(X50),complement(X49))) = complement(join(complement(X50),join(complement(X49),complement(composition(one,X50)))))) )), 37.91/5.16 inference(forward_demodulation,[],[f41773,f1257])). 37.91/5.16 fof(f41773,plain,( 37.91/5.16 ( ! [X50,X49] : (complement(join(complement(X50),complement(X49))) = complement(join(complement(X50),join(complement(X49),complement(composition(converse(one),X50)))))) )), 37.91/5.16 inference(forward_demodulation,[],[f41772,f35151])). 37.91/5.16 fof(f35151,plain,( 37.91/5.16 ( ! [X196,X197,X195] : (complement(join(X195,X196)) = join(complement(join(X195,X196)),complement(join(X195,join(X196,X197))))) )), 37.91/5.16 inference(superposition,[],[f8918,f34])). 37.91/5.16 fof(f8918,plain,( 37.91/5.16 ( ! [X0,X1] : (complement(X0) = join(complement(X0),complement(join(X0,X1)))) )), 37.91/5.16 inference(superposition,[],[f7496,f1420])). 37.91/5.16 fof(f7496,plain,( 37.91/5.16 ( ! [X4,X3] : (join(X3,complement(join(complement(X3),X4))) = X3) )), 37.91/5.16 inference(superposition,[],[f6406,f28])). 37.91/5.16 fof(f6406,plain,( 37.91/5.16 ( ! [X41,X42] : (join(complement(join(complement(X41),X42)),X41) = X41) )), 37.91/5.16 inference(superposition,[],[f2461,f33])). 37.91/5.16 fof(f41772,plain,( 37.91/5.16 ( ! [X50,X49] : (complement(join(complement(X50),join(complement(X49),complement(composition(converse(one),X50))))) = join(complement(join(complement(X50),complement(X49))),complement(join(complement(X50),join(complement(X49),complement(composition(converse(one),X50))))))) )), 37.91/5.16 inference(forward_demodulation,[],[f41771,f1420])). 37.91/5.16 fof(f41771,plain,( 37.91/5.16 ( ! [X50,X49] : (complement(join(complement(X50),complement(complement(join(complement(X49),complement(composition(converse(one),X50))))))) = join(complement(join(complement(X50),complement(X49))),complement(join(complement(X50),complement(complement(join(complement(X49),complement(composition(converse(one),X50))))))))) )), 37.91/5.16 inference(forward_demodulation,[],[f41548,f1277])). 37.91/5.16 fof(f41548,plain,( 37.91/5.16 ( ! [X50,X49] : (complement(join(complement(X50),complement(composition(one,complement(join(complement(X49),complement(composition(converse(one),X50)))))))) = join(complement(join(complement(X50),complement(X49))),complement(join(complement(X50),complement(composition(one,complement(join(complement(X49),complement(composition(converse(one),X50)))))))))) )), 37.91/5.16 inference(superposition,[],[f627,f1277])). 37.91/5.16 fof(f627,plain,( 37.91/5.16 ( ! [X4,X2,X3] : (complement(join(complement(X4),complement(composition(X2,complement(join(complement(X3),complement(composition(converse(X2),X4)))))))) = join(complement(join(complement(X4),complement(composition(X2,X3)))),complement(join(complement(X4),complement(composition(X2,complement(join(complement(X3),complement(composition(converse(X2),X4)))))))))) )), 37.91/5.16 inference(superposition,[],[f45,f28])). 37.91/5.16 fof(f45,plain,( 37.91/5.16 ( ! [X2,X0,X1] : (complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))))) )), 37.91/5.16 inference(forward_demodulation,[],[f41,f28])). 37.91/5.16 fof(f41,plain,( 37.91/5.16 ( ! [X2,X0,X1] : (complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))))) )), 37.91/5.16 inference(definition_unfolding,[],[f37,f29,f29,f29,f29,f29])). 37.91/5.16 fof(f37,plain,( 37.91/5.16 ( ! [X2,X0,X1] : (meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))) )), 37.91/5.16 inference(cnf_transformation,[],[f16])). 37.91/5.16 fof(f16,axiom,( 37.91/5.16 ! [X0,X1,X2] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular_law_1)). 37.91/5.16 fof(f49711,plain,( 37.91/5.16 complement(join(complement(complement(sK0)),complement(zero))) = join(complement(join(complement(composition(sK2,converse(sK1))),complement(complement(sK0)))),complement(join(complement(complement(sK0)),complement(zero))))), 37.91/5.16 inference(forward_demodulation,[],[f49710,f3804])). 37.91/5.16 fof(f3804,plain,( 37.91/5.16 ( ! [X3] : (zero = composition(zero,converse(X3))) )), 37.91/5.16 inference(forward_demodulation,[],[f3791,f1644])). 37.91/5.16 fof(f1644,plain,( 37.91/5.16 zero = converse(zero)), 37.91/5.16 inference(forward_demodulation,[],[f1631,f1525])). 37.91/5.16 fof(f1525,plain,( 37.91/5.16 ( ! [X1] : (zero = join(complement(join(top,complement(X1))),complement(join(top,X1)))) )), 37.91/5.16 inference(superposition,[],[f33,f1422])). 37.91/5.16 fof(f1631,plain,( 37.91/5.16 ( ! [X1] : (converse(zero) = join(complement(join(top,complement(X1))),complement(join(top,X1)))) )), 37.91/5.16 inference(superposition,[],[f33,f1600])). 37.91/5.16 fof(f1600,plain,( 37.91/5.16 top = complement(converse(zero))), 37.91/5.16 inference(forward_demodulation,[],[f1583,f1106])). 37.91/5.16 fof(f1106,plain,( 37.91/5.16 top = converse(top)), 37.91/5.16 inference(forward_demodulation,[],[f1105,f1104])). 37.91/5.16 fof(f1104,plain,( 37.91/5.16 top = join(converse(top),top)), 37.91/5.16 inference(forward_demodulation,[],[f1101,f24])). 37.91/5.16 fof(f1101,plain,( 37.91/5.16 converse(converse(top)) = join(converse(top),top)), 37.91/5.16 inference(superposition,[],[f55,f1085])). 37.91/5.16 fof(f1085,plain,( 37.91/5.16 converse(top) = join(top,converse(top))), 37.91/5.16 inference(superposition,[],[f722,f65])). 37.91/5.16 fof(f65,plain,( 37.91/5.16 ( ! [X2] : (join(X2,converse(complement(converse(X2)))) = converse(top)) )), 37.91/5.16 inference(superposition,[],[f54,f27])). 37.91/5.16 fof(f54,plain,( 37.91/5.16 ( ! [X0,X1] : (converse(join(converse(X0),X1)) = join(X0,converse(X1))) )), 37.91/5.16 inference(superposition,[],[f30,f24])). 37.91/5.16 fof(f722,plain,( 37.91/5.16 ( ! [X0] : (join(top,X0) = join(top,join(top,X0))) )), 37.91/5.16 inference(superposition,[],[f34,f690])). 37.91/5.16 fof(f55,plain,( 37.91/5.16 ( ! [X0,X1] : (converse(join(X1,converse(X0))) = join(converse(X1),X0)) )), 37.91/5.16 inference(superposition,[],[f30,f24])). 37.91/5.16 fof(f1105,plain,( 37.91/5.16 converse(top) = join(converse(top),top)), 37.91/5.16 inference(forward_demodulation,[],[f1102,f24])). 37.91/5.16 fof(f1102,plain,( 37.91/5.16 join(converse(top),top) = converse(converse(converse(top)))), 37.91/5.16 inference(superposition,[],[f268,f1085])). 37.91/5.16 fof(f1583,plain,( 37.91/5.16 converse(top) = complement(converse(zero))), 37.91/5.16 inference(superposition,[],[f24,f1425])). 37.91/5.16 fof(f1425,plain,( 37.91/5.16 top = converse(complement(converse(zero)))), 37.91/5.16 inference(superposition,[],[f1393,f1107])). 37.91/5.16 fof(f1107,plain,( 37.91/5.16 ( ! [X2] : (top = join(X2,converse(complement(converse(X2))))) )), 37.91/5.16 inference(backward_demodulation,[],[f65,f1106])). 37.91/5.16 fof(f3791,plain,( 37.91/5.16 ( ! [X3] : (converse(zero) = composition(zero,converse(X3))) )), 37.91/5.16 inference(backward_demodulation,[],[f1731,f3771])). 37.91/5.16 fof(f3771,plain,( 37.91/5.16 ( ! [X1] : (zero = composition(X1,zero)) )), 37.91/5.16 inference(superposition,[],[f3738,f1384])). 37.91/5.16 fof(f3738,plain,( 37.91/5.16 ( ! [X13] : (zero = join(composition(X13,zero),zero)) )), 37.91/5.16 inference(forward_demodulation,[],[f3737,f1393])). 37.91/5.16 fof(f3737,plain,( 37.91/5.16 ( ! [X13] : (zero = join(join(zero,composition(X13,zero)),zero)) )), 37.91/5.16 inference(forward_demodulation,[],[f3736,f1300])). 37.91/5.16 fof(f1300,plain,( 37.91/5.16 ( ! [X12,X13] : (join(X12,composition(X13,X12)) = composition(join(one,X13),X12)) )), 37.91/5.16 inference(forward_demodulation,[],[f1267,f1257])). 37.91/5.16 fof(f1267,plain,( 37.91/5.16 ( ! [X12,X13] : (composition(join(converse(one),X13),X12) = join(X12,composition(X13,X12))) )), 37.91/5.16 inference(superposition,[],[f36,f1241])). 37.91/5.16 fof(f36,plain,( 37.91/5.16 ( ! [X2,X0,X1] : (composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2))) )), 37.91/5.16 inference(cnf_transformation,[],[f9])). 37.91/5.16 fof(f9,axiom,( 37.91/5.16 ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2))), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity)). 37.91/5.16 fof(f3736,plain,( 37.91/5.16 ( ! [X13] : (zero = join(composition(join(one,X13),zero),zero)) )), 37.91/5.16 inference(forward_demodulation,[],[f3735,f44])). 37.91/5.16 fof(f3735,plain,( 37.91/5.16 ( ! [X13] : (zero = join(composition(join(one,X13),complement(top)),zero)) )), 37.91/5.16 inference(forward_demodulation,[],[f3734,f2099])). 37.91/5.16 fof(f3734,plain,( 37.91/5.16 ( ! [X13] : (zero = join(composition(join(one,X13),complement(join(top,composition(converse(X13),top)))),zero)) )), 37.91/5.16 inference(forward_demodulation,[],[f3696,f1300])). 37.91/5.16 fof(f3696,plain,( 37.91/5.16 ( ! [X13] : (zero = join(composition(join(one,X13),complement(composition(join(one,converse(X13)),top))),zero)) )), 37.91/5.16 inference(superposition,[],[f288,f3288])). 37.91/5.16 fof(f3288,plain,( 37.91/5.16 ( ! [X4] : (join(one,X4) = converse(join(one,converse(X4)))) )), 37.91/5.16 inference(superposition,[],[f24,f1322])). 37.91/5.16 fof(f1322,plain,( 37.91/5.16 ( ! [X0] : (converse(join(one,X0)) = join(one,converse(X0))) )), 37.91/5.16 inference(superposition,[],[f30,f1257])). 37.91/5.16 fof(f288,plain,( 37.91/5.16 ( ! [X0] : (zero = join(composition(converse(X0),complement(composition(X0,top))),zero)) )), 37.91/5.16 inference(superposition,[],[f32,f44])). 37.91/5.16 fof(f1731,plain,( 37.91/5.16 ( ! [X3] : (converse(composition(X3,zero)) = composition(zero,converse(X3))) )), 37.91/5.16 inference(superposition,[],[f31,f1644])). 37.91/5.16 fof(f49710,plain,( 37.91/5.16 complement(join(complement(complement(sK0)),complement(composition(zero,converse(sK1))))) = join(complement(join(complement(composition(sK2,converse(sK1))),complement(complement(sK0)))),complement(join(complement(complement(sK0)),complement(composition(zero,converse(sK1))))))), 37.91/5.16 inference(forward_demodulation,[],[f49392,f44])). 37.91/5.16 fof(f49392,plain,( 37.91/5.16 complement(join(complement(complement(sK0)),complement(composition(complement(top),converse(sK1))))) = join(complement(join(complement(composition(sK2,converse(sK1))),complement(complement(sK0)))),complement(join(complement(complement(sK0)),complement(composition(complement(top),converse(sK1))))))), 37.91/5.16 inference(superposition,[],[f734,f3070])). 37.91/5.16 fof(f3070,plain,( 37.91/5.16 top = join(complement(sK2),complement(composition(complement(sK0),sK1)))), 37.91/5.16 inference(superposition,[],[f2525,f22])). 37.91/5.16 fof(f22,plain,( 37.91/5.16 complement(sK2) = join(composition(complement(sK0),sK1),complement(sK2))), 37.91/5.16 inference(cnf_transformation,[],[f21])). 37.91/5.16 fof(f21,plain,( 37.91/5.16 sK0 != join(composition(sK2,converse(sK1)),sK0) & complement(sK2) = join(composition(complement(sK0),sK1),complement(sK2))), 37.91/5.16 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f20])). 37.91/5.16 fof(f20,plain,( 37.91/5.16 ? [X0,X1,X2] : (join(composition(X2,converse(X1)),X0) != X0 & complement(X2) = join(composition(complement(X0),X1),complement(X2))) => (sK0 != join(composition(sK2,converse(sK1)),sK0) & complement(sK2) = join(composition(complement(sK0),sK1),complement(sK2)))), 37.91/5.16 introduced(choice_axiom,[])). 37.91/5.16 fof(f19,plain,( 37.91/5.16 ? [X0,X1,X2] : (join(composition(X2,converse(X1)),X0) != X0 & complement(X2) = join(composition(complement(X0),X1),complement(X2)))), 37.91/5.16 inference(ennf_transformation,[],[f18])). 37.91/5.16 fof(f18,negated_conjecture,( 37.91/5.16 ~! [X0,X1,X2] : (complement(X2) = join(composition(complement(X0),X1),complement(X2)) => join(composition(X2,converse(X1)),X0) = X0)), 37.91/5.16 inference(negated_conjecture,[],[f17])). 37.91/5.16 fof(f17,conjecture,( 37.91/5.16 ! [X0,X1,X2] : (complement(X2) = join(composition(complement(X0),X1),complement(X2)) => join(composition(X2,converse(X1)),X0) = X0)), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals)). 37.91/5.16 fof(f2525,plain,( 37.91/5.16 ( ! [X0,X1] : (top = join(join(X0,X1),complement(X0))) )), 37.91/5.16 inference(superposition,[],[f2117,f1420])). 37.91/5.16 fof(f2117,plain,( 37.91/5.16 ( ! [X0,X1] : (top = join(join(complement(X0),X1),X0)) )), 37.91/5.16 inference(backward_demodulation,[],[f1715,f2099])). 37.91/5.16 fof(f1715,plain,( 37.91/5.16 ( ! [X0,X1] : (join(top,X1) = join(join(complement(X0),X1),X0)) )), 37.91/5.16 inference(forward_demodulation,[],[f1696,f24])). 37.91/5.16 fof(f1696,plain,( 37.91/5.16 ( ! [X0,X1] : (join(join(complement(X0),X1),X0) = converse(converse(join(top,X1)))) )), 37.91/5.16 inference(superposition,[],[f268,f79])). 37.91/5.16 fof(f79,plain,( 37.91/5.16 ( ! [X0,X1] : (join(X0,join(complement(X0),X1)) = join(top,X1)) )), 37.91/5.16 inference(superposition,[],[f34,f27])). 37.91/5.16 fof(f734,plain,( 37.91/5.16 ( ! [X2,X0,X1] : (complement(join(complement(X1),complement(composition(complement(join(complement(X2),complement(composition(X1,X0)))),converse(X0))))) = join(complement(join(complement(composition(X2,converse(X0))),complement(X1))),complement(join(complement(X1),complement(composition(complement(join(complement(X2),complement(composition(X1,X0)))),converse(X0))))))) )), 37.91/5.16 inference(superposition,[],[f46,f24])). 37.91/5.16 fof(f46,plain,( 37.91/5.16 ( ! [X2,X0,X1] : (complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)))))) )), 37.91/5.16 inference(forward_demodulation,[],[f42,f28])). 37.91/5.16 fof(f42,plain,( 37.91/5.16 ( ! [X2,X0,X1] : (complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2))))) )), 37.91/5.16 inference(definition_unfolding,[],[f38,f29,f29,f29,f29,f29])). 37.91/5.16 fof(f38,plain,( 37.91/5.16 ( ! [X2,X0,X1] : (meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) = join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2))) )), 37.91/5.16 inference(cnf_transformation,[],[f15])). 37.91/5.16 fof(f15,axiom,( 37.91/5.16 ! [X0,X1,X2] : meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) = join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2))), 37.91/5.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular_law_2)). 37.91/5.16 fof(f22278,plain,( 37.91/5.16 ( ! [X14,X15] : (join(X14,X15) = join(X14,complement(join(complement(X15),X14)))) )), 37.91/5.16 inference(forward_demodulation,[],[f22277,f22273])). 37.91/5.16 fof(f22273,plain,( 37.91/5.16 ( ! [X4,X5] : (join(X4,X5) = join(complement(join(complement(X4),X5)),X5)) )), 37.91/5.16 inference(forward_demodulation,[],[f21962,f1420])). 37.91/5.16 fof(f21962,plain,( 37.91/5.16 ( ! [X4,X5] : (join(X4,X5) = join(complement(join(complement(X4),complement(complement(X5)))),X5)) )), 37.91/5.16 inference(superposition,[],[f563,f7481])). 37.91/5.16 fof(f7481,plain,( 37.91/5.16 ( ! [X24,X23] : (join(complement(join(X24,complement(X23))),X23) = X23) )), 37.91/5.16 inference(superposition,[],[f6406,f28])). 37.91/5.16 fof(f563,plain,( 37.91/5.16 ( ! [X6,X8,X7] : (join(X6,X8) = join(complement(join(complement(X6),complement(X7))),join(complement(join(complement(X6),X7)),X8))) )), 37.91/5.16 inference(superposition,[],[f34,f33])). 37.91/5.16 fof(f22277,plain,( 37.91/5.16 ( ! [X14,X15] : (join(X14,complement(join(complement(X15),X14))) = join(complement(join(complement(X14),X15)),X15)) )), 37.91/5.16 inference(forward_demodulation,[],[f21966,f1420])). 37.91/5.16 fof(f21966,plain,( 37.91/5.16 ( ! [X14,X15] : (join(X14,complement(join(complement(X15),X14))) = join(complement(join(complement(X14),complement(complement(X15)))),X15)) )), 37.91/5.16 inference(superposition,[],[f563,f547])). 37.91/5.16 fof(f547,plain,( 37.91/5.16 ( ! [X4,X5] : (join(complement(join(complement(X5),complement(X4))),complement(join(complement(X4),X5))) = X4) )), 37.91/5.16 inference(superposition,[],[f33,f28])). 37.91/5.16 fof(f48,plain,( 37.91/5.16 sK0 != join(sK0,composition(sK2,converse(sK1)))), 37.91/5.16 inference(superposition,[],[f23,f28])). 37.91/5.16 fof(f23,plain,( 37.91/5.16 sK0 != join(composition(sK2,converse(sK1)),sK0)), 37.91/5.16 inference(cnf_transformation,[],[f21])). 37.91/5.16 % SZS output end Proof for theBenchmark 37.91/5.16 % (7586)------------------------------ 37.91/5.16 % (7586)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 37.91/5.16 % (7586)Termination reason: Refutation 37.91/5.16 37.91/5.16 % (7586)Memory used [KB]: 81491 37.91/5.16 % (7586)Time elapsed: 4.713 s 37.91/5.16 % (7586)------------------------------ 37.91/5.16 % (7586)------------------------------ 37.91/5.17 % (7584)Success in time 4.789 s 37.91/5.19 EOF