0.07/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.11 % Command : run_vampire %s %d 0.11/0.32 % Computer : n002.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1200 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Jul 13 16:43:03 EDT 2021 0.11/0.32 % CPUTime : 0.11/0.32 This is a FOF_ problem 0.11/0.32 Running vampire --ignore_missing on --mode casc --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.11/0.33 Running in auto input_syntax mode. Trying TPTP 0.17/0.34 % (26772)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:thsq=on_10 on theBenchmark 0.17/0.35 % (26775)WARNING: value z3 for option sas not known 0.17/0.35 % (26776)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:thsq=on_461 on theBenchmark 0.17/0.35 % (26775)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:thsq=on_520 on theBenchmark 0.17/0.36 % (26777)WARNING: value z3 for option sas not known 0.17/0.36 % (26781)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:thsq=on_236 on theBenchmark 0.17/0.36 % (26771)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:thsq=on_3 on theBenchmark 0.17/0.36 % (26770)lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:stl=30:sp=occurrence:thsq=on_75 on theBenchmark 0.17/0.36 % (26777)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:thsq=on_385 on theBenchmark 0.17/0.36 % (26774)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:thsq=on_294 on theBenchmark 0.17/0.36 % (26773)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:thsq=on_10 on theBenchmark 0.17/0.37 % (26768)WARNING: value z3 for option sas not known 0.17/0.37 % (26767)WARNING: value z3 for option sas not known 0.17/0.37 % (26768)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:thsq=on_123 on theBenchmark 0.17/0.37 % (26767)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:thsq=on_136 on theBenchmark 0.17/0.37 % (26769)dis+11_50_add=large:afp=1000:afq=1.0:amm=sco:anc=none:fsr=off:nm=16:nwc=1.5:sac=on:thsq=on_13 on theBenchmark 0.17/0.37 % (26779)dis+1_24_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1.5:sp=occurrence:updr=off:thsq=on_16 on theBenchmark 0.17/0.37 % (26778)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:thsq=on_122 on theBenchmark 0.17/0.37 % (26782)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:thsq=on_355 on theBenchmark 0.17/0.37 % (26780)ott+1_28_av=off:bs=unit_only:cond=on:irw=on:nm=64:nwc=2:sp=occurrence:updr=off:uhcvi=on:thsq=on_1052 on theBenchmark 0.17/0.39 % (26784)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:thsq=on_893 on theBenchmark 0.17/0.39 % (26783)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:thsq=on_1883 on theBenchmark 4.34/0.96 % (26771)Time limit reached! 4.34/0.96 % (26771)------------------------------ 4.34/0.96 % (26771)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 4.34/0.96 % (26771)Termination reason: Time limit 4.34/0.96 4.34/0.96 % (26771)Memory used [KB]: 16247 4.34/0.96 % (26771)Time elapsed: 0.624 s 4.34/0.96 % (26771)------------------------------ 4.34/0.96 % (26771)------------------------------ 11.94/1.87 % (26773)Time limit reached! 11.94/1.87 % (26773)------------------------------ 11.94/1.87 % (26773)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 11.94/1.87 % (26772)Time limit reached! 11.94/1.87 % (26772)------------------------------ 11.94/1.87 % (26772)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 11.94/1.88 % (26773)Termination reason: Time limit 11.94/1.88 11.94/1.88 % (26773)Memory used [KB]: 44519 11.94/1.88 % (26773)Time elapsed: 1.515 s 11.94/1.88 % (26773)------------------------------ 11.94/1.88 % (26773)------------------------------ 11.94/1.88 % (26772)Termination reason: Time limit 11.94/1.88 11.94/1.88 % (26772)Memory used [KB]: 47206 11.94/1.88 % (26772)Time elapsed: 1.531 s 11.94/1.88 % (26772)------------------------------ 11.94/1.88 % (26772)------------------------------ 14.38/2.15 % (26769)Time limit reached! 14.38/2.15 % (26769)------------------------------ 14.38/2.15 % (26769)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 14.38/2.15 % (26769)Termination reason: Time limit 14.38/2.15 % (26769)Termination phase: Saturation 14.38/2.15 14.38/2.15 % (26769)Memory used [KB]: 51811 14.38/2.15 % (26769)Time elapsed: 1.800 s 14.38/2.15 % (26769)------------------------------ 14.38/2.15 % (26769)------------------------------ 17.57/2.55 % (26779)Time limit reached! 17.57/2.55 % (26779)------------------------------ 17.57/2.55 % (26779)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 17.57/2.55 % (26779)Termination reason: Time limit 17.57/2.55 % (26779)Termination phase: Saturation 17.57/2.55 17.57/2.55 % (26779)Memory used [KB]: 46310 17.57/2.55 % (26779)Time elapsed: 2.200 s 17.57/2.55 % (26779)------------------------------ 17.57/2.55 % (26779)------------------------------ 36.41/4.95 % (26768)First to succeed. 36.41/4.97 % (26768)Refutation found. Thanks to Tanya! 36.41/4.97 % SZS status Theorem for theBenchmark 36.41/4.97 % SZS output start Proof for theBenchmark 36.41/4.97 fof(f102175,plain,( 36.41/4.97 $false), 36.41/4.97 inference(trivial_inequality_removal,[],[f102095])). 36.41/4.97 fof(f102095,plain,( 36.41/4.97 sK0 != sK0), 36.41/4.97 inference(superposition,[],[f48,f101475])). 36.41/4.97 fof(f101475,plain,( 36.41/4.97 sK0 = join(sK0,composition(sK2,converse(sK1)))), 36.41/4.97 inference(forward_demodulation,[],[f101474,f1346])). 36.41/4.97 fof(f1346,plain,( 36.41/4.97 ( ! [X4 : $i] : (join(zero,X4) = X4) )), 36.41/4.97 inference(backward_demodulation,[],[f946,f1337])). 36.41/4.97 fof(f1337,plain,( 36.41/4.97 ( ! [X0 : $i] : (join(X0,zero) = X0) )), 36.41/4.97 inference(superposition,[],[f954,f1246])). 36.41/4.97 fof(f1246,plain,( 36.41/4.97 ( ! [X3 : $i] : (join(zero,complement(complement(X3))) = X3) )), 36.41/4.97 inference(backward_demodulation,[],[f594,f1244])). 36.41/4.97 fof(f1244,plain,( 36.41/4.97 ( ! [X1 : $i] : (complement(X1) = join(complement(X1),complement(X1))) )), 36.41/4.97 inference(forward_demodulation,[],[f1214,f1231])). 36.41/4.97 fof(f1231,plain,( 36.41/4.97 ( ! [X2 : $i] : (composition(one,X2) = X2) )), 36.41/4.97 inference(backward_demodulation,[],[f1174,f1211])). 36.41/4.97 fof(f1211,plain,( 36.41/4.97 one = converse(one)), 36.41/4.97 inference(superposition,[],[f1174,f25])). 36.41/4.97 fof(f25,plain,( 36.41/4.97 ( ! [X0 : $i] : (composition(X0,one) = X0) )), 36.41/4.97 inference(cnf_transformation,[],[f5])). 36.41/4.97 fof(f5,axiom,( 36.41/4.97 ! [X0] : composition(X0,one) = X0), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity)). 36.41/4.97 fof(f1174,plain,( 36.41/4.97 ( ! [X2 : $i] : (composition(converse(one),X2) = X2) )), 36.41/4.97 inference(forward_demodulation,[],[f1151,f24])). 36.41/4.97 fof(f24,plain,( 36.41/4.97 ( ! [X0 : $i] : (converse(converse(X0)) = X0) )), 36.41/4.97 inference(cnf_transformation,[],[f1])). 36.41/4.97 fof(f1,axiom,( 36.41/4.97 ! [X0] : converse(converse(X0)) = X0), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence)). 36.41/4.97 fof(f1151,plain,( 36.41/4.97 ( ! [X2 : $i] : (converse(converse(X2)) = composition(converse(one),X2)) )), 36.41/4.97 inference(superposition,[],[f61,f25])). 36.41/4.97 fof(f61,plain,( 36.41/4.97 ( ! [X0 : $i,X1 : $i] : (composition(converse(X1),X0) = converse(composition(converse(X0),X1))) )), 36.41/4.97 inference(superposition,[],[f31,f24])). 36.41/4.97 fof(f31,plain,( 36.41/4.97 ( ! [X0 : $i,X1 : $i] : (converse(composition(X0,X1)) = composition(converse(X1),converse(X0))) )), 36.41/4.97 inference(cnf_transformation,[],[f8])). 36.41/4.97 fof(f8,axiom,( 36.41/4.97 ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0))), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity)). 36.41/4.97 fof(f1214,plain,( 36.41/4.97 ( ! [X1 : $i] : (complement(X1) = join(complement(composition(one,X1)),complement(X1))) )), 36.41/4.97 inference(superposition,[],[f32,f1174])). 36.41/4.97 fof(f32,plain,( 36.41/4.97 ( ! [X0 : $i,X1 : $i] : (complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))) )), 36.41/4.97 inference(cnf_transformation,[],[f11])). 36.41/4.97 fof(f11,axiom,( 36.41/4.97 ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity)). 36.41/4.97 fof(f594,plain,( 36.41/4.97 ( ! [X3 : $i] : (join(zero,complement(join(complement(X3),complement(X3)))) = X3) )), 36.41/4.97 inference(forward_demodulation,[],[f568,f44])). 36.41/4.97 fof(f44,plain,( 36.41/4.97 zero = complement(top)), 36.41/4.97 inference(backward_demodulation,[],[f40,f27])). 36.41/4.97 fof(f27,plain,( 36.41/4.97 ( ! [X0 : $i] : (join(X0,complement(X0)) = top) )), 36.41/4.97 inference(cnf_transformation,[],[f3])). 36.41/4.97 fof(f3,axiom,( 36.41/4.97 ! [X0] : join(X0,complement(X0)) = top), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top)). 36.41/4.97 fof(f40,plain,( 36.41/4.97 ( ! [X0 : $i] : (zero = complement(join(complement(X0),complement(complement(X0))))) )), 36.41/4.97 inference(definition_unfolding,[],[f26,f29])). 36.41/4.97 fof(f29,plain,( 36.41/4.97 ( ! [X0 : $i,X1 : $i] : (meet(X0,X1) = complement(join(complement(X0),complement(X1)))) )), 36.41/4.97 inference(cnf_transformation,[],[f2])). 36.41/4.97 fof(f2,axiom,( 36.41/4.97 ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1)))), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet)). 36.41/4.97 fof(f26,plain,( 36.41/4.97 ( ! [X0 : $i] : (zero = meet(X0,complement(X0))) )), 36.41/4.97 inference(cnf_transformation,[],[f6])). 36.41/4.97 fof(f6,axiom,( 36.41/4.97 ! [X0] : zero = meet(X0,complement(X0))), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero)). 36.41/4.97 fof(f568,plain,( 36.41/4.97 ( ! [X3 : $i] : (join(complement(top),complement(join(complement(X3),complement(X3)))) = X3) )), 36.41/4.97 inference(superposition,[],[f33,f27])). 36.41/4.97 fof(f33,plain,( 36.41/4.97 ( ! [X0 : $i,X1 : $i] : (join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0) )), 36.41/4.97 inference(cnf_transformation,[],[f7])). 36.41/4.97 fof(f7,axiom,( 36.41/4.97 ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan)). 36.41/4.97 fof(f954,plain,( 36.41/4.97 ( ! [X2 : $i] : (join(zero,X2) = join(join(zero,X2),zero)) )), 36.41/4.97 inference(forward_demodulation,[],[f952,f24])). 36.41/4.97 fof(f952,plain,( 36.41/4.97 ( ! [X2 : $i] : (join(join(zero,X2),zero) = converse(converse(join(zero,X2)))) )), 36.41/4.97 inference(superposition,[],[f254,f702])). 36.41/4.97 fof(f702,plain,( 36.41/4.97 ( ! [X0 : $i] : (join(zero,X0) = join(zero,join(zero,X0))) )), 36.41/4.97 inference(forward_demodulation,[],[f694,f44])). 36.41/4.97 fof(f694,plain,( 36.41/4.97 ( ! [X0 : $i] : (join(zero,X0) = join(zero,join(complement(top),X0))) )), 36.41/4.97 inference(backward_demodulation,[],[f617,f690])). 36.41/4.97 fof(f690,plain,( 36.41/4.97 top = join(top,top)), 36.41/4.97 inference(forward_demodulation,[],[f689,f297])). 36.41/4.97 fof(f297,plain,( 36.41/4.97 ( ! [X0 : $i] : (top = join(complement(X0),X0)) )), 36.41/4.97 inference(forward_demodulation,[],[f265,f24])). 36.41/4.97 fof(f265,plain,( 36.41/4.97 ( ! [X0 : $i] : (join(complement(X0),X0) = converse(converse(top))) )), 36.41/4.97 inference(superposition,[],[f254,f27])). 36.41/4.97 fof(f689,plain,( 36.41/4.97 join(top,top) = join(complement(zero),zero)), 36.41/4.97 inference(forward_demodulation,[],[f688,f599])). 36.41/4.97 fof(f599,plain,( 36.41/4.97 zero = join(zero,complement(join(top,top)))), 36.41/4.97 inference(forward_demodulation,[],[f598,f44])). 36.41/4.97 fof(f598,plain,( 36.41/4.97 zero = join(complement(top),complement(join(top,top)))), 36.41/4.97 inference(forward_demodulation,[],[f597,f27])). 36.41/4.97 fof(f597,plain,( 36.41/4.97 zero = join(complement(join(zero,complement(zero))),complement(join(top,top)))), 36.41/4.97 inference(forward_demodulation,[],[f596,f44])). 36.41/4.97 fof(f596,plain,( 36.41/4.97 zero = join(complement(join(complement(top),complement(zero))),complement(join(top,top)))), 36.41/4.97 inference(forward_demodulation,[],[f574,f28])). 36.41/4.97 fof(f28,plain,( 36.41/4.97 ( ! [X0 : $i,X1 : $i] : (join(X0,X1) = join(X1,X0)) )), 36.41/4.97 inference(cnf_transformation,[],[f12])). 36.41/4.97 fof(f12,axiom,( 36.41/4.97 ! [X0,X1] : join(X0,X1) = join(X1,X0)), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity)). 36.41/4.97 fof(f574,plain,( 36.41/4.97 zero = join(complement(join(complement(zero),complement(top))),complement(join(top,top)))), 36.41/4.97 inference(superposition,[],[f33,f307])). 36.41/4.97 fof(f307,plain,( 36.41/4.97 join(top,top) = join(complement(zero),top)), 36.41/4.97 inference(forward_demodulation,[],[f278,f24])). 36.41/4.97 fof(f278,plain,( 36.41/4.97 join(complement(zero),top) = converse(converse(join(top,top)))), 36.41/4.97 inference(superposition,[],[f254,f123])). 36.41/4.97 fof(f123,plain,( 36.41/4.97 join(top,complement(zero)) = join(top,top)), 36.41/4.97 inference(superposition,[],[f111,f27])). 36.41/4.97 fof(f111,plain,( 36.41/4.97 ( ! [X21 : $i] : (join(top,join(zero,X21)) = join(top,X21)) )), 36.41/4.97 inference(superposition,[],[f34,f47])). 36.41/4.97 fof(f47,plain,( 36.41/4.97 top = join(top,zero)), 36.41/4.97 inference(superposition,[],[f27,f44])). 36.41/4.97 fof(f34,plain,( 36.41/4.97 ( ! [X2 : $i,X0 : $i,X1 : $i] : (join(join(X0,X1),X2) = join(X0,join(X1,X2))) )), 36.41/4.97 inference(cnf_transformation,[],[f10])). 36.41/4.97 fof(f10,axiom,( 36.41/4.97 ! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2))), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity)). 36.41/4.97 fof(f688,plain,( 36.41/4.97 join(top,top) = join(complement(join(zero,complement(join(top,top)))),zero)), 36.41/4.97 inference(forward_demodulation,[],[f687,f28])). 36.41/4.97 fof(f687,plain,( 36.41/4.97 join(top,top) = join(complement(join(complement(join(top,top)),zero)),zero)), 36.41/4.97 inference(forward_demodulation,[],[f680,f44])). 36.41/4.97 fof(f680,plain,( 36.41/4.97 join(top,top) = join(complement(join(complement(join(top,top)),complement(top))),complement(top))), 36.41/4.97 inference(superposition,[],[f33,f625])). 36.41/4.97 fof(f625,plain,( 36.41/4.97 top = join(complement(join(top,top)),top)), 36.41/4.97 inference(forward_demodulation,[],[f623,f24])). 36.41/4.97 fof(f623,plain,( 36.41/4.97 converse(converse(top)) = join(complement(join(top,top)),top)), 36.41/4.97 inference(superposition,[],[f254,f619])). 36.41/4.97 fof(f619,plain,( 36.41/4.97 top = join(top,complement(join(top,top)))), 36.41/4.97 inference(forward_demodulation,[],[f618,f47])). 36.41/4.97 fof(f618,plain,( 36.41/4.97 join(top,zero) = join(top,complement(join(top,top)))), 36.41/4.97 inference(forward_demodulation,[],[f614,f28])). 36.41/4.97 fof(f614,plain,( 36.41/4.97 join(zero,top) = join(top,complement(join(top,top)))), 36.41/4.97 inference(superposition,[],[f305,f599])). 36.41/4.97 fof(f305,plain,( 36.41/4.97 ( ! [X14 : $i] : (join(top,X14) = join(join(zero,X14),top)) )), 36.41/4.97 inference(forward_demodulation,[],[f276,f24])). 36.41/4.97 fof(f276,plain,( 36.41/4.97 ( ! [X14 : $i] : (join(join(zero,X14),top) = converse(converse(join(top,X14)))) )), 36.41/4.97 inference(superposition,[],[f254,f111])). 36.41/4.97 fof(f617,plain,( 36.41/4.97 ( ! [X0 : $i] : (join(zero,X0) = join(zero,join(complement(join(top,top)),X0))) )), 36.41/4.97 inference(superposition,[],[f34,f599])). 36.41/4.97 fof(f254,plain,( 36.41/4.97 ( ! [X8 : $i,X9 : $i] : (join(X8,X9) = converse(converse(join(X9,X8)))) )), 36.41/4.97 inference(forward_demodulation,[],[f253,f30])). 36.41/4.97 fof(f30,plain,( 36.41/4.97 ( ! [X0 : $i,X1 : $i] : (converse(join(X0,X1)) = join(converse(X0),converse(X1))) )), 36.41/4.97 inference(cnf_transformation,[],[f13])). 36.41/4.97 fof(f13,axiom,( 36.41/4.97 ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1))), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity)). 36.41/4.97 fof(f253,plain,( 36.41/4.97 ( ! [X8 : $i,X9 : $i] : (join(X8,X9) = converse(join(converse(X9),converse(X8)))) )), 36.41/4.97 inference(forward_demodulation,[],[f214,f24])). 36.41/4.97 fof(f214,plain,( 36.41/4.97 ( ! [X8 : $i,X9 : $i] : (converse(join(converse(X9),converse(X8))) = converse(converse(join(X8,X9)))) )), 36.41/4.97 inference(superposition,[],[f177,f30])). 36.41/4.97 fof(f177,plain,( 36.41/4.97 ( ! [X2 : $i,X3 : $i] : (converse(join(X2,X3)) = converse(join(X3,X2))) )), 36.41/4.97 inference(superposition,[],[f56,f30])). 36.41/4.97 fof(f56,plain,( 36.41/4.97 ( ! [X2 : $i,X3 : $i] : (join(converse(X3),converse(X2)) = converse(join(X2,X3))) )), 36.41/4.97 inference(superposition,[],[f30,f28])). 36.41/4.97 fof(f946,plain,( 36.41/4.97 ( ! [X4 : $i] : (join(X4,zero) = join(zero,join(X4,zero))) )), 36.41/4.97 inference(superposition,[],[f702,f28])). 36.41/4.97 fof(f101474,plain,( 36.41/4.97 join(sK0,composition(sK2,converse(sK1))) = join(zero,sK0)), 36.41/4.97 inference(forward_demodulation,[],[f101473,f28])). 36.41/4.97 fof(f101473,plain,( 36.41/4.97 join(sK0,composition(sK2,converse(sK1))) = join(sK0,zero)), 36.41/4.97 inference(forward_demodulation,[],[f100988,f44])). 36.41/4.97 fof(f100988,plain,( 36.41/4.97 join(sK0,composition(sK2,converse(sK1))) = join(sK0,complement(top))), 36.41/4.97 inference(superposition,[],[f23385,f49459])). 36.41/4.97 fof(f49459,plain,( 36.41/4.97 top = join(complement(composition(sK2,converse(sK1))),sK0)), 36.41/4.97 inference(forward_demodulation,[],[f49395,f24])). 36.41/4.97 fof(f49395,plain,( 36.41/4.97 converse(converse(top)) = join(complement(composition(sK2,converse(sK1))),sK0)), 36.41/4.97 inference(superposition,[],[f254,f49240])). 36.41/4.97 fof(f49240,plain,( 36.41/4.97 top = join(sK0,complement(composition(sK2,converse(sK1))))), 36.41/4.97 inference(forward_demodulation,[],[f49239,f1994])). 36.41/4.97 fof(f1994,plain,( 36.41/4.97 ( ! [X21 : $i] : (top = join(complement(X21),top)) )), 36.41/4.97 inference(forward_demodulation,[],[f1933,f27])). 36.41/4.97 fof(f1933,plain,( 36.41/4.97 ( ! [X21 : $i] : (top = join(complement(X21),join(complement(X21),complement(complement(X21))))) )), 36.41/4.97 inference(superposition,[],[f113,f1244])). 36.41/4.97 fof(f113,plain,( 36.41/4.97 ( ! [X4 : $i,X3 : $i] : (top = join(X3,join(X4,complement(join(X3,X4))))) )), 36.41/4.97 inference(superposition,[],[f34,f27])). 36.41/4.97 fof(f49239,plain,( 36.41/4.97 join(sK0,complement(composition(sK2,converse(sK1)))) = join(complement(join(complement(join(sK0,complement(composition(sK2,converse(sK1))))),top)),top)), 36.41/4.97 inference(forward_demodulation,[],[f49157,f1375])). 36.41/4.97 fof(f1375,plain,( 36.41/4.97 top = complement(zero)), 36.41/4.97 inference(superposition,[],[f1346,f27])). 36.41/4.97 fof(f49157,plain,( 36.41/4.97 join(sK0,complement(composition(sK2,converse(sK1)))) = join(complement(join(complement(join(sK0,complement(composition(sK2,converse(sK1))))),complement(zero))),complement(zero))), 36.41/4.97 inference(superposition,[],[f33,f49041])). 36.41/4.97 fof(f49041,plain,( 36.41/4.97 zero = join(complement(join(sK0,complement(composition(sK2,converse(sK1))))),zero)), 36.41/4.97 inference(forward_demodulation,[],[f49040,f28])). 36.41/4.97 fof(f49040,plain,( 36.41/4.97 zero = join(complement(join(complement(composition(sK2,converse(sK1))),sK0)),zero)), 36.41/4.97 inference(forward_demodulation,[],[f49039,f44])). 36.41/4.97 fof(f49039,plain,( 36.41/4.97 complement(top) = join(complement(join(complement(composition(sK2,converse(sK1))),sK0)),complement(top))), 36.41/4.97 inference(forward_demodulation,[],[f49038,f2037])). 36.41/4.97 fof(f2037,plain,( 36.41/4.97 ( ! [X1 : $i] : (top = join(top,X1)) )), 36.41/4.97 inference(forward_demodulation,[],[f2026,f304])). 36.41/4.97 fof(f304,plain,( 36.41/4.97 top = join(zero,top)), 36.41/4.97 inference(forward_demodulation,[],[f275,f24])). 36.41/4.97 fof(f275,plain,( 36.41/4.97 join(zero,top) = converse(converse(top))), 36.41/4.97 inference(superposition,[],[f254,f47])). 36.41/4.97 fof(f2026,plain,( 36.41/4.97 ( ! [X1 : $i] : (join(zero,top) = join(top,X1)) )), 36.41/4.97 inference(backward_demodulation,[],[f495,f2025])). 36.41/4.97 fof(f2025,plain,( 36.41/4.97 ( ! [X4 : $i] : (top = join(X4,top)) )), 36.41/4.97 inference(forward_demodulation,[],[f2000,f27])). 36.41/4.97 fof(f2000,plain,( 36.41/4.97 ( ! [X4 : $i] : (top = join(X4,join(X4,complement(X4)))) )), 36.41/4.97 inference(superposition,[],[f113,f1921])). 36.41/4.97 fof(f1921,plain,( 36.41/4.97 ( ! [X0 : $i] : (join(X0,X0) = X0) )), 36.41/4.97 inference(superposition,[],[f1244,f1373])). 36.41/4.97 fof(f1373,plain,( 36.41/4.97 ( ! [X1 : $i] : (complement(complement(X1)) = X1) )), 36.41/4.97 inference(superposition,[],[f1346,f1246])). 36.41/4.97 fof(f495,plain,( 36.41/4.97 ( ! [X1 : $i] : (join(top,X1) = join(zero,join(X1,top))) )), 36.41/4.97 inference(superposition,[],[f305,f34])). 36.41/4.97 fof(f49038,plain,( 36.41/4.97 complement(join(top,sK0)) = join(complement(join(complement(composition(sK2,converse(sK1))),sK0)),complement(join(top,sK0)))), 36.41/4.97 inference(forward_demodulation,[],[f49037,f28])). 36.41/4.97 fof(f49037,plain,( 36.41/4.97 complement(join(sK0,top)) = join(complement(join(complement(composition(sK2,converse(sK1))),sK0)),complement(join(sK0,top)))), 36.41/4.97 inference(forward_demodulation,[],[f49036,f1375])). 36.41/4.97 fof(f49036,plain,( 36.41/4.97 complement(join(sK0,complement(zero))) = join(complement(join(complement(composition(sK2,converse(sK1))),sK0)),complement(join(sK0,complement(zero))))), 36.41/4.97 inference(forward_demodulation,[],[f49035,f28])). 36.41/4.97 fof(f49035,plain,( 36.41/4.97 complement(join(complement(zero),sK0)) = join(complement(join(complement(composition(sK2,converse(sK1))),sK0)),complement(join(complement(zero),sK0)))), 36.41/4.97 inference(forward_demodulation,[],[f49034,f1373])). 36.41/4.97 fof(f49034,plain,( 36.41/4.97 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)))))), 36.41/4.97 inference(forward_demodulation,[],[f49033,f42059])). 36.41/4.97 fof(f42059,plain,( 36.41/4.97 ( ! [X50 : $i,X49 : $i] : (complement(join(complement(X49),complement(X50))) = complement(join(complement(X50),complement(X49)))) )), 36.41/4.97 inference(forward_demodulation,[],[f42058,f2755])). 36.41/4.97 fof(f2755,plain,( 36.41/4.97 ( ! [X12 : $i,X13 : $i] : (join(X12,X13) = join(X13,join(X12,X13))) )), 36.41/4.97 inference(forward_demodulation,[],[f2688,f1999])). 36.41/4.97 fof(f1999,plain,( 36.41/4.97 ( ! [X2 : $i,X3 : $i] : (join(X2,X3) = join(X2,join(X2,X3))) )), 36.41/4.97 inference(superposition,[],[f34,f1921])). 36.41/4.97 fof(f2688,plain,( 36.41/4.97 ( ! [X12 : $i,X13 : $i] : (join(X12,X13) = join(X13,join(X12,join(X12,X13)))) )), 36.41/4.97 inference(superposition,[],[f103,f1921])). 36.41/4.97 fof(f103,plain,( 36.41/4.97 ( ! [X4 : $i,X2 : $i,X3 : $i] : (join(X2,join(X3,X4)) = join(join(X3,X2),X4)) )), 36.41/4.97 inference(superposition,[],[f34,f28])). 36.41/4.97 fof(f42058,plain,( 36.41/4.97 ( ! [X50 : $i,X49 : $i] : (complement(join(complement(X50),complement(X49))) = complement(join(complement(X50),join(complement(X49),complement(X50))))) )), 36.41/4.97 inference(forward_demodulation,[],[f42057,f1231])). 36.41/4.97 fof(f42057,plain,( 36.41/4.97 ( ! [X50 : $i,X49 : $i] : (complement(join(complement(X50),complement(X49))) = complement(join(complement(X50),join(complement(X49),complement(composition(one,X50)))))) )), 36.41/4.97 inference(forward_demodulation,[],[f42056,f1211])). 36.41/4.97 fof(f42056,plain,( 36.41/4.97 ( ! [X50 : $i,X49 : $i] : (complement(join(complement(X50),complement(X49))) = complement(join(complement(X50),join(complement(X49),complement(composition(converse(one),X50)))))) )), 36.41/4.97 inference(forward_demodulation,[],[f42055,f34596])). 36.41/4.97 fof(f34596,plain,( 36.41/4.97 ( ! [X194 : $i,X195 : $i,X193 : $i] : (complement(join(X193,X194)) = join(complement(join(X193,X194)),complement(join(X193,join(X194,X195))))) )), 36.41/4.97 inference(superposition,[],[f8656,f34])). 36.41/4.97 fof(f8656,plain,( 36.41/4.97 ( ! [X0 : $i,X1 : $i] : (complement(X0) = join(complement(X0),complement(join(X0,X1)))) )), 36.41/4.97 inference(superposition,[],[f7654,f1373])). 36.41/4.97 fof(f7654,plain,( 36.41/4.97 ( ! [X4 : $i,X3 : $i] : (join(X3,complement(join(complement(X3),X4))) = X3) )), 36.41/4.97 inference(superposition,[],[f6122,f28])). 36.41/4.97 fof(f6122,plain,( 36.41/4.97 ( ! [X39 : $i,X38 : $i] : (join(complement(join(complement(X38),X39)),X38) = X38) )), 36.41/4.97 inference(superposition,[],[f2755,f33])). 36.41/4.97 fof(f42055,plain,( 36.41/4.97 ( ! [X50 : $i,X49 : $i] : (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))))))) )), 36.41/4.97 inference(forward_demodulation,[],[f42054,f1373])). 36.41/4.97 fof(f42054,plain,( 36.41/4.97 ( ! [X50 : $i,X49 : $i] : (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))))))))) )), 36.41/4.97 inference(forward_demodulation,[],[f41828,f1231])). 36.41/4.97 fof(f41828,plain,( 36.41/4.97 ( ! [X50 : $i,X49 : $i] : (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)))))))))) )), 36.41/4.97 inference(superposition,[],[f631,f1231])). 36.41/4.97 fof(f631,plain,( 36.41/4.97 ( ! [X4 : $i,X2 : $i,X3 : $i] : (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)))))))))) )), 36.41/4.97 inference(superposition,[],[f45,f28])). 36.41/4.97 fof(f45,plain,( 36.41/4.97 ( ! [X2 : $i,X0 : $i,X1 : $i] : (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)))))))))) )), 36.41/4.97 inference(forward_demodulation,[],[f41,f28])). 36.41/4.97 fof(f41,plain,( 36.41/4.97 ( ! [X2 : $i,X0 : $i,X1 : $i] : (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))))) )), 36.41/4.97 inference(definition_unfolding,[],[f37,f29,f29,f29,f29,f29])). 36.41/4.97 fof(f37,plain,( 36.41/4.97 ( ! [X2 : $i,X0 : $i,X1 : $i] : (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))) )), 36.41/4.97 inference(cnf_transformation,[],[f16])). 36.41/4.97 fof(f16,axiom,( 36.41/4.97 ! [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))), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular_law_1)). 36.41/4.97 fof(f49033,plain,( 36.41/4.97 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))))), 36.41/4.97 inference(forward_demodulation,[],[f49032,f3742])). 36.41/4.97 fof(f3742,plain,( 36.41/4.97 ( ! [X3 : $i] : (zero = composition(zero,converse(X3))) )), 36.41/4.97 inference(forward_demodulation,[],[f3729,f1492])). 36.41/4.97 fof(f1492,plain,( 36.41/4.97 zero = converse(zero)), 36.41/4.97 inference(superposition,[],[f1431,f1337])). 36.41/4.97 fof(f1431,plain,( 36.41/4.97 ( ! [X11 : $i] : (join(converse(zero),X11) = X11) )), 36.41/4.97 inference(forward_demodulation,[],[f1386,f24])). 36.41/4.97 fof(f1386,plain,( 36.41/4.97 ( ! [X11 : $i] : (join(converse(zero),X11) = converse(converse(X11))) )), 36.41/4.97 inference(superposition,[],[f55,f1346])). 36.41/4.97 fof(f55,plain,( 36.41/4.97 ( ! [X0 : $i,X1 : $i] : (converse(join(X1,converse(X0))) = join(converse(X1),X0)) )), 36.41/4.97 inference(superposition,[],[f30,f24])). 36.41/4.97 fof(f3729,plain,( 36.41/4.97 ( ! [X3 : $i] : (converse(zero) = composition(zero,converse(X3))) )), 36.41/4.97 inference(backward_demodulation,[],[f1533,f3709])). 36.41/4.97 fof(f3709,plain,( 36.41/4.97 ( ! [X1 : $i] : (zero = composition(X1,zero)) )), 36.41/4.97 inference(superposition,[],[f3676,f1337])). 36.41/4.97 fof(f3676,plain,( 36.41/4.97 ( ! [X13 : $i] : (zero = join(composition(X13,zero),zero)) )), 36.41/4.97 inference(forward_demodulation,[],[f3675,f1346])). 36.41/4.97 fof(f3675,plain,( 36.41/4.97 ( ! [X13 : $i] : (zero = join(join(zero,composition(X13,zero)),zero)) )), 36.41/4.97 inference(forward_demodulation,[],[f3674,f1254])). 36.41/4.97 fof(f1254,plain,( 36.41/4.97 ( ! [X12 : $i,X13 : $i] : (join(X12,composition(X13,X12)) = composition(join(one,X13),X12)) )), 36.41/4.97 inference(forward_demodulation,[],[f1221,f1211])). 36.41/4.97 fof(f1221,plain,( 36.41/4.97 ( ! [X12 : $i,X13 : $i] : (composition(join(converse(one),X13),X12) = join(X12,composition(X13,X12))) )), 36.41/4.97 inference(superposition,[],[f36,f1174])). 36.41/4.97 fof(f36,plain,( 36.41/4.97 ( ! [X2 : $i,X0 : $i,X1 : $i] : (composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2))) )), 36.41/4.97 inference(cnf_transformation,[],[f9])). 36.41/4.97 fof(f9,axiom,( 36.41/4.97 ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2))), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity)). 36.41/4.97 fof(f3674,plain,( 36.41/4.97 ( ! [X13 : $i] : (zero = join(composition(join(one,X13),zero),zero)) )), 36.41/4.97 inference(forward_demodulation,[],[f3673,f44])). 36.41/4.97 fof(f3673,plain,( 36.41/4.97 ( ! [X13 : $i] : (zero = join(composition(join(one,X13),complement(top)),zero)) )), 36.41/4.97 inference(forward_demodulation,[],[f3672,f2037])). 36.41/4.97 fof(f3672,plain,( 36.41/4.97 ( ! [X13 : $i] : (zero = join(composition(join(one,X13),complement(join(top,composition(converse(X13),top)))),zero)) )), 36.41/4.97 inference(forward_demodulation,[],[f3634,f1254])). 36.41/4.97 fof(f3634,plain,( 36.41/4.97 ( ! [X13 : $i] : (zero = join(composition(join(one,X13),complement(composition(join(one,converse(X13)),top))),zero)) )), 36.41/4.97 inference(superposition,[],[f393,f3267])). 36.41/4.97 fof(f3267,plain,( 36.41/4.97 ( ! [X4 : $i] : (join(one,X4) = converse(join(one,converse(X4)))) )), 36.41/4.97 inference(superposition,[],[f24,f1276])). 36.41/4.97 fof(f1276,plain,( 36.41/4.97 ( ! [X0 : $i] : (converse(join(one,X0)) = join(one,converse(X0))) )), 36.41/4.97 inference(superposition,[],[f30,f1211])). 36.41/4.97 fof(f393,plain,( 36.41/4.97 ( ! [X0 : $i] : (zero = join(composition(converse(X0),complement(composition(X0,top))),zero)) )), 36.41/4.97 inference(superposition,[],[f32,f44])). 36.41/4.97 fof(f1533,plain,( 36.41/4.97 ( ! [X3 : $i] : (converse(composition(X3,zero)) = composition(zero,converse(X3))) )), 36.41/4.97 inference(superposition,[],[f31,f1492])). 36.41/4.97 fof(f49032,plain,( 36.41/4.97 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))))))), 36.41/4.97 inference(forward_demodulation,[],[f48712,f44])). 36.41/4.97 fof(f48712,plain,( 36.41/4.97 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))))))), 36.41/4.97 inference(superposition,[],[f795,f2603])). 36.41/4.97 fof(f2603,plain,( 36.41/4.97 top = join(complement(sK2),complement(composition(complement(sK0),sK1)))), 36.41/4.97 inference(superposition,[],[f2363,f22])). 36.41/4.97 fof(f22,plain,( 36.41/4.97 complement(sK2) = join(composition(complement(sK0),sK1),complement(sK2))), 36.41/4.97 inference(cnf_transformation,[],[f21])). 36.41/4.97 fof(f21,plain,( 36.41/4.97 sK0 != join(composition(sK2,converse(sK1)),sK0) & complement(sK2) = join(composition(complement(sK0),sK1),complement(sK2))), 36.41/4.97 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f20])). 36.41/4.97 fof(f20,plain,( 36.41/4.97 ? [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)))), 36.41/4.97 introduced(choice_axiom,[])). 36.41/4.97 fof(f19,plain,( 36.41/4.97 ? [X0,X1,X2] : (join(composition(X2,converse(X1)),X0) != X0 & complement(X2) = join(composition(complement(X0),X1),complement(X2)))), 36.41/4.97 inference(ennf_transformation,[],[f18])). 36.41/4.97 fof(f18,negated_conjecture,( 36.41/4.97 ~! [X0,X1,X2] : (complement(X2) = join(composition(complement(X0),X1),complement(X2)) => join(composition(X2,converse(X1)),X0) = X0)), 36.41/4.97 inference(negated_conjecture,[],[f17])). 36.41/4.97 fof(f17,conjecture,( 36.41/4.97 ! [X0,X1,X2] : (complement(X2) = join(composition(complement(X0),X1),complement(X2)) => join(composition(X2,converse(X1)),X0) = X0)), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals)). 36.41/4.97 fof(f2363,plain,( 36.41/4.97 ( ! [X2 : $i,X3 : $i] : (top = join(join(X2,X3),complement(X2))) )), 36.41/4.97 inference(superposition,[],[f2055,f1373])). 36.41/4.97 fof(f2055,plain,( 36.41/4.97 ( ! [X0 : $i,X1 : $i] : (top = join(join(complement(X0),X1),X0)) )), 36.41/4.97 inference(backward_demodulation,[],[f1690,f2037])). 36.41/4.97 fof(f1690,plain,( 36.41/4.97 ( ! [X0 : $i,X1 : $i] : (join(top,X1) = join(join(complement(X0),X1),X0)) )), 36.41/4.97 inference(forward_demodulation,[],[f1671,f24])). 36.41/4.97 fof(f1671,plain,( 36.41/4.97 ( ! [X0 : $i,X1 : $i] : (join(join(complement(X0),X1),X0) = converse(converse(join(top,X1)))) )), 36.41/4.97 inference(superposition,[],[f254,f102])). 36.41/4.97 fof(f102,plain,( 36.41/4.97 ( ! [X0 : $i,X1 : $i] : (join(X0,join(complement(X0),X1)) = join(top,X1)) )), 36.41/4.97 inference(superposition,[],[f34,f27])). 36.41/4.97 fof(f795,plain,( 36.41/4.97 ( ! [X2 : $i,X0 : $i,X1 : $i] : (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))))))) )), 36.41/4.97 inference(superposition,[],[f46,f24])). 36.41/4.97 fof(f46,plain,( 36.41/4.97 ( ! [X2 : $i,X0 : $i,X1 : $i] : (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)))))) )), 36.41/4.97 inference(forward_demodulation,[],[f42,f28])). 36.41/4.97 fof(f42,plain,( 36.41/4.97 ( ! [X2 : $i,X0 : $i,X1 : $i] : (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))))) )), 36.41/4.97 inference(definition_unfolding,[],[f38,f29,f29,f29,f29,f29])). 36.41/4.97 fof(f38,plain,( 36.41/4.97 ( ! [X2 : $i,X0 : $i,X1 : $i] : (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))) )), 36.41/4.97 inference(cnf_transformation,[],[f15])). 36.41/4.97 fof(f15,axiom,( 36.41/4.97 ! [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))), 36.41/4.97 file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular_law_2)). 36.41/4.97 fof(f23385,plain,( 36.41/4.97 ( ! [X14 : $i,X15 : $i] : (join(X14,X15) = join(X14,complement(join(complement(X15),X14)))) )), 36.41/4.97 inference(forward_demodulation,[],[f23384,f23380])). 36.41/4.97 fof(f23380,plain,( 36.41/4.97 ( ! [X4 : $i,X5 : $i] : (join(X4,X5) = join(complement(join(complement(X4),X5)),X5)) )), 36.41/4.97 inference(forward_demodulation,[],[f23060,f1373])). 36.41/4.97 fof(f23060,plain,( 36.41/4.97 ( ! [X4 : $i,X5 : $i] : (join(X4,X5) = join(complement(join(complement(X4),complement(complement(X5)))),X5)) )), 36.41/4.97 inference(superposition,[],[f585,f7639])). 36.41/4.97 fof(f7639,plain,( 36.41/4.97 ( ! [X26 : $i,X25 : $i] : (join(complement(join(X26,complement(X25))),X25) = X25) )), 36.41/4.97 inference(superposition,[],[f6122,f28])). 36.41/4.97 fof(f585,plain,( 36.41/4.97 ( ! [X6 : $i,X8 : $i,X7 : $i] : (join(X6,X8) = join(complement(join(complement(X6),complement(X7))),join(complement(join(complement(X6),X7)),X8))) )), 36.41/4.97 inference(superposition,[],[f34,f33])). 36.41/4.97 fof(f23384,plain,( 36.41/4.97 ( ! [X14 : $i,X15 : $i] : (join(X14,complement(join(complement(X15),X14))) = join(complement(join(complement(X14),X15)),X15)) )), 36.41/4.97 inference(forward_demodulation,[],[f23064,f1373])). 36.41/4.97 fof(f23064,plain,( 36.41/4.97 ( ! [X14 : $i,X15 : $i] : (join(X14,complement(join(complement(X15),X14))) = join(complement(join(complement(X14),complement(complement(X15)))),X15)) )), 36.41/4.97 inference(superposition,[],[f585,f569])). 36.41/4.97 fof(f569,plain,( 36.41/4.97 ( ! [X4 : $i,X5 : $i] : (join(complement(join(complement(X5),complement(X4))),complement(join(complement(X4),X5))) = X4) )), 36.41/4.97 inference(superposition,[],[f33,f28])). 36.41/4.97 fof(f48,plain,( 36.41/4.97 sK0 != join(sK0,composition(sK2,converse(sK1)))), 36.41/4.97 inference(superposition,[],[f23,f28])). 36.41/4.97 fof(f23,plain,( 36.41/4.97 sK0 != join(composition(sK2,converse(sK1)),sK0)), 36.41/4.97 inference(cnf_transformation,[],[f21])). 36.41/4.97 % SZS output end Proof for theBenchmark 36.41/4.97 % (26768)------------------------------ 36.41/4.97 % (26768)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 36.41/4.97 % (26768)Termination reason: Refutation 36.41/4.97 36.41/4.97 % (26768)Memory used [KB]: 90830 36.41/4.97 % (26768)Time elapsed: 4.603 s 36.41/4.97 % (26768)------------------------------ 36.41/4.97 % (26768)------------------------------ 36.41/4.97 % (26766)Success in time 4.638 s 36.41/4.99 EOF