0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : vampire --mode casc -t %d %s 0.13/0.35 % Computer : n022.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % DateTime : Wed Jul 1 17:19:17 EDT 2020 0.13/0.35 % CPUTime : 0.20/0.41 % dis+11_4_afp=100000:afq=1.1:anc=none:cond=on:gs=on:gsaa=full_model:nm=64:nwc=1:sac=on:sp=reverse_arity:thi=all_2 on theBenchmark 0.20/0.54 % Refutation found. Thanks to Tanya! 0.20/0.54 % SZS status Theorem for theBenchmark 0.20/0.54 % SZS output start Proof for theBenchmark 0.20/0.54 tff(func_def_7, type, sK0: $real > $real). 0.20/0.54 tff(func_def_18, type, '$inst2': $real). 0.20/0.54 tff(func_def_41, type, '$inst3': $real). 0.20/0.54 tff(pred_def_1, type, pow2: $real > $o). 0.20/0.54 tff(f809,plain,( 0.20/0.54 $false), 0.20/0.54 inference(evaluation,[],[f808])). 0.20/0.54 tff(f808,plain,( 0.20/0.54 2.0 = 0.078125 | 1.0 = 0.078125 | $less(2.0,0.078125)), 0.20/0.54 inference(resolution,[],[f129,f732])). 0.20/0.54 tff(f732,plain,( 0.20/0.54 pow2(0.078125)), 0.20/0.54 inference(subsumption_resolution,[],[f731,f661])). 0.20/0.54 tff(f661,plain,( 0.20/0.54 pow2(0.15625)), 0.20/0.54 inference(subsumption_resolution,[],[f660,f647])). 0.20/0.54 tff(f647,plain,( 0.20/0.54 pow2(0.3125)), 0.20/0.54 inference(subsumption_resolution,[],[f646,f633])). 0.20/0.54 tff(f633,plain,( 0.20/0.54 pow2(0.625)), 0.20/0.54 inference(subsumption_resolution,[],[f632,f583])). 0.20/0.54 tff(f583,plain,( 0.20/0.54 pow2(1.25)), 0.20/0.54 inference(subsumption_resolution,[],[f582,f416])). 0.20/0.54 tff(f416,plain,( 0.20/0.54 pow2(2.5)), 0.20/0.54 inference(subsumption_resolution,[],[f415,f32])). 0.20/0.54 tff(f32,plain,( 0.20/0.54 pow2(5.0)), 0.20/0.54 inference(cnf_transformation,[],[f26])). 0.38/0.54 tff(f26,plain,( 0.38/0.54 pow2(5.0) & ! [X0 : $real] : ((((pow2(sK0(X0)) & $product(2.0,sK0(X0)) = X0) & ~$less(X0,2.0)) | 1.0 = X0 | ~pow2(X0)) & (pow2(X0) | ((! [X2 : $real] : (~pow2(X2) | $product(2.0,X2) != X0) | $less(X0,2.0)) & 1.0 != X0)))), 0.38/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f24,f25])). 0.38/0.54 tff(f25,plain,( 0.38/0.54 ! [X0 : $real] : (? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) => (pow2(sK0(X0)) & $product(2.0,sK0(X0)) = X0))), 0.38/0.54 introduced(choice_axiom,[])). 0.38/0.54 tff(f24,plain,( 0.38/0.54 pow2(5.0) & ! [X0 : $real] : (((? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) & ~$less(X0,2.0)) | 1.0 = X0 | ~pow2(X0)) & (pow2(X0) | ((! [X2 : $real] : (~pow2(X2) | $product(2.0,X2) != X0) | $less(X0,2.0)) & 1.0 != X0)))), 0.38/0.54 inference(rectify,[],[f23])). 0.38/0.54 tff(f23,plain,( 0.38/0.54 pow2(5.0) & ! [X0 : $real] : (((? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) & ~$less(X0,2.0)) | 1.0 = X0 | ~pow2(X0)) & (pow2(X0) | ((! [X1 : $real] : (~pow2(X1) | $product(2.0,X1) != X0) | $less(X0,2.0)) & 1.0 != X0)))), 0.38/0.54 inference(flattening,[],[f22])). 0.38/0.54 tff(f22,plain,( 0.38/0.54 pow2(5.0) & ! [X0 : $real] : ((((? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) & ~$less(X0,2.0)) | 1.0 = X0) | ~pow2(X0)) & (pow2(X0) | ((! [X1 : $real] : (~pow2(X1) | $product(2.0,X1) != X0) | $less(X0,2.0)) & 1.0 != X0)))), 0.38/0.54 inference(nnf_transformation,[],[f21])). 0.38/0.54 tff(f21,plain,( 0.38/0.54 pow2(5.0) & ! [X0 : $real] : (((? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) & ~$less(X0,2.0)) | 1.0 = X0) <=> pow2(X0))), 0.38/0.54 inference(ennf_transformation,[],[f3])). 0.38/0.54 tff(f3,plain,( 0.38/0.54 ~(! [X0 : $real] : (((? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) & ~$less(X0,2.0)) | 1.0 = X0) <=> pow2(X0)) => ~pow2(5.0))), 0.38/0.54 inference(evaluation,[],[f2])). 0.38/0.54 tff(f2,negated_conjecture,( 0.38/0.54 ~(! [X0 : $real] : (((? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) & $lesseq(2.0,X0)) | 1.0 = X0) <=> pow2(X0)) => ~pow2(5.0))), 0.38/0.54 inference(negated_conjecture,[],[f1])). 0.38/0.54 tff(f1,conjecture,( 0.38/0.54 ! [X0 : $real] : (((? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) & $lesseq(2.0,X0)) | 1.0 = X0) <=> pow2(X0)) => ~pow2(5.0)), 0.38/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_pow_of_2_5)). 0.38/0.54 tff(f415,plain,( 0.38/0.54 pow2(2.5) | ~pow2(5.0)), 0.38/0.54 inference(evaluation,[],[f414])). 0.38/0.54 tff(f414,plain,( 0.38/0.54 pow2(2.5) | 5.0 = 1.0 | ~pow2(5.0)), 0.38/0.54 inference(superposition,[],[f31,f224])). 0.38/0.54 tff(f224,plain,( 0.38/0.54 sK0(5.0) = 2.5), 0.38/0.54 inference(evaluation,[],[f183])). 0.38/0.54 tff(f183,plain,( 0.38/0.54 5.0 = 1.0 | 5.0 = $product(2.0,sK0(5.0))), 0.38/0.54 inference(resolution,[],[f30,f32])). 0.38/0.54 tff(f30,plain,( 0.38/0.54 ( ! [X0:$real] : (~pow2(X0) | 1.0 = X0 | $product(2.0,sK0(X0)) = X0) )), 0.38/0.54 inference(cnf_transformation,[],[f26])). 0.38/0.54 tff(f31,plain,( 0.38/0.54 ( ! [X0:$real] : (pow2(sK0(X0)) | 1.0 = X0 | ~pow2(X0)) )), 0.38/0.54 inference(cnf_transformation,[],[f26])). 0.38/0.54 tff(f582,plain,( 0.38/0.54 pow2(1.25) | ~pow2(2.5)), 0.38/0.54 inference(evaluation,[],[f581])). 0.38/0.54 tff(f581,plain,( 0.38/0.54 pow2(1.25) | 1.0 = 2.5 | ~pow2(2.5)), 0.38/0.54 inference(superposition,[],[f31,f420])). 0.38/0.54 tff(f420,plain,( 0.38/0.54 sK0(2.5) = 1.25), 0.38/0.54 inference(evaluation,[],[f417])). 0.38/0.54 tff(f417,plain,( 0.38/0.54 1.0 = 2.5 | $product(2.0,sK0(2.5)) = 2.5), 0.38/0.54 inference(resolution,[],[f416,f30])). 0.38/0.54 tff(f632,plain,( 0.38/0.54 pow2(0.625) | ~pow2(1.25)), 0.38/0.54 inference(evaluation,[],[f631])). 0.38/0.54 tff(f631,plain,( 0.38/0.54 pow2(0.625) | 1.0 = 1.25 | ~pow2(1.25)), 0.38/0.54 inference(superposition,[],[f31,f587])). 0.38/0.54 tff(f587,plain,( 0.38/0.54 sK0(1.25) = 0.625), 0.38/0.54 inference(evaluation,[],[f584])). 0.38/0.54 tff(f584,plain,( 0.38/0.54 1.0 = 1.25 | $product(2.0,sK0(1.25)) = 1.25), 0.38/0.54 inference(resolution,[],[f583,f30])). 0.38/0.54 tff(f646,plain,( 0.38/0.54 pow2(0.3125) | ~pow2(0.625)), 0.38/0.54 inference(evaluation,[],[f645])). 0.38/0.54 tff(f645,plain,( 0.38/0.54 pow2(0.3125) | 1.0 = 0.625 | ~pow2(0.625)), 0.38/0.54 inference(superposition,[],[f31,f636])). 0.38/0.54 tff(f636,plain,( 0.38/0.54 sK0(0.625) = 0.3125), 0.38/0.54 inference(evaluation,[],[f634])). 0.38/0.54 tff(f634,plain,( 0.38/0.54 1.0 = 0.625 | $product(2.0,sK0(0.625)) = 0.625), 0.38/0.54 inference(resolution,[],[f633,f30])). 0.38/0.54 tff(f660,plain,( 0.38/0.54 pow2(0.15625) | ~pow2(0.3125)), 0.38/0.54 inference(evaluation,[],[f659])). 0.38/0.54 tff(f659,plain,( 0.38/0.54 pow2(0.15625) | 1.0 = 0.3125 | ~pow2(0.3125)), 0.38/0.54 inference(superposition,[],[f31,f650])). 0.38/0.54 tff(f650,plain,( 0.38/0.54 sK0(0.3125) = 0.15625), 0.38/0.54 inference(evaluation,[],[f648])). 0.38/0.54 tff(f648,plain,( 0.38/0.54 1.0 = 0.3125 | $product(2.0,sK0(0.3125)) = 0.3125), 0.38/0.54 inference(resolution,[],[f647,f30])). 0.38/0.54 tff(f731,plain,( 0.38/0.54 pow2(0.078125) | ~pow2(0.15625)), 0.38/0.54 inference(evaluation,[],[f730])). 0.38/0.54 tff(f730,plain,( 0.38/0.54 pow2(0.078125) | 1.0 = 0.15625 | ~pow2(0.15625)), 0.38/0.54 inference(superposition,[],[f31,f664])). 0.38/0.54 tff(f664,plain,( 0.38/0.54 sK0(0.15625) = 0.078125), 0.38/0.54 inference(evaluation,[],[f662])). 0.38/0.54 tff(f662,plain,( 0.38/0.54 1.0 = 0.15625 | $product(2.0,sK0(0.15625)) = 0.15625), 0.38/0.54 inference(resolution,[],[f661,f30])). 0.38/0.54 tff(f129,plain,( 0.38/0.54 ( ! [X1:$real] : (~pow2(X1) | 2.0 = X1 | 1.0 = X1 | $less(2.0,X1)) )), 0.38/0.54 inference(resolution,[],[f11,f29])). 0.38/0.54 tff(f29,plain,( 0.38/0.54 ( ! [X0:$real] : (~$less(X0,2.0) | 1.0 = X0 | ~pow2(X0)) )), 0.38/0.54 inference(cnf_transformation,[],[f26])). 0.38/0.54 tff(f11,plain,( 0.38/0.54 ( ! [X0:$real,X1:$real] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 0.38/0.54 introduced(theory_axiom,[])). 0.38/0.54 % SZS output end Proof for theBenchmark 0.38/0.54 % ------------------------------ 0.38/0.54 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.38/0.54 % Termination reason: Refutation 0.38/0.54 0.38/0.54 % Memory used [KB]: 10106 0.38/0.54 % Time elapsed: 0.126 s 0.38/0.54 % ------------------------------ 0.38/0.54 % ------------------------------ 0.38/0.54 % Success in time 0.186 s 0.38/0.54 EOF