0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.02/0.24 % Computer : n167.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 04:30:40 CDT 2018 0.02/0.24 % CPUTime : 0.07/0.28 % lrs+1011_2:1_add=large:afr=on:afp=4000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:gs=on:irw=on:nm=64:nwc=1:sas=z3:stl=30:sos=on:sp=reverse_arity:thf=on:urr=on:updr=off_2 on theBenchmark 0.07/0.31 % Refutation found. Thanks to Tanya! 0.07/0.31 % SZS status Theorem for theBenchmark 0.07/0.31 % SZS output start Proof for theBenchmark 0.07/0.31 tff(func_def_7, type, sK0: $real). 0.07/0.31 tff(f1,conjecture,( 0.07/0.31 ! [X0 : $real] : ($sum(2.9,4.8) = X0 => $less(7.5,X0))), 0.07/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_combined_problem_6)). 0.07/0.31 tff(f2,negated_conjecture,( 0.07/0.31 ~! [X0 : $real] : ($sum(2.9,4.8) = X0 => $less(7.5,X0))), 0.07/0.31 inference(negated_conjecture,[],[f1])). 0.07/0.31 tff(f5,plain,( 0.07/0.31 ( ! [X0:$real] : ($sum(X0,0.0) = X0) )), 0.07/0.31 introduced(theory_axiom,[])). 0.07/0.31 tff(f10,plain,( 0.07/0.31 ( ! [X0:$real,X1:$real] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 0.07/0.31 introduced(theory_axiom,[])). 0.07/0.31 tff(f12,plain,( 0.07/0.31 ( ! [X0:$real,X1:$real] : ($less(X1,$sum(X0,1.0)) | $less(X0,X1)) )), 0.07/0.31 introduced(theory_axiom,[])). 0.07/0.31 tff(f13,plain,( 0.07/0.31 ( ! [X0:$real] : ($uminus($uminus(X0)) = X0) )), 0.07/0.31 introduced(theory_axiom,[])). 0.07/0.31 tff(f14,plain,( 0.07/0.31 ? [X0 : $real] : (~$less(7.5,X0) & $sum(2.9,4.8) = X0)), 0.07/0.31 inference(ennf_transformation,[],[f2])). 0.07/0.31 tff(f15,plain,( 0.07/0.31 ? [X0 : $real] : (~$less(7.5,X0) & $sum(2.9,4.8) = X0) => (~$less(7.5,sK0) & $sum(2.9,4.8) = sK0)), 0.07/0.31 introduced(choice_axiom,[])). 0.07/0.31 tff(f16,plain,( 0.07/0.31 ~$less(7.5,sK0) & $sum(2.9,4.8) = sK0), 0.07/0.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15])). 0.07/0.31 tff(f17,plain,( 0.07/0.31 $sum(2.9,4.8) = sK0), 0.07/0.31 inference(cnf_transformation,[],[f16])). 0.07/0.31 tff(f18,plain,( 0.07/0.31 ~$less(7.5,sK0)), 0.07/0.31 inference(cnf_transformation,[],[f16])). 0.07/0.31 tff(f19,plain,( 0.07/0.31 ( ! [X1:$real] : (~$less(7.5,X1) | sK0 != X1) )), 0.07/0.31 inference(theory_flattening,[],[f18])). 0.07/0.31 tff(f20,plain,( 0.07/0.31 ( ! [X1:$real] : (sK0 != X1 | $sum(2.9,4.8) = X1) )), 0.07/0.31 inference(theory_flattening,[],[f17])). 0.07/0.31 tff(f21,plain,( 0.07/0.31 ( ! [X1:$real] : (sK0 != X1 | 7.7 = X1) )), 0.07/0.31 inference(evaluation,[],[f20])). 0.07/0.31 tff(f22,plain,( 0.07/0.31 ~$less(7.5,$uminus($uminus(sK0)))), 0.07/0.31 inference(unit_resulting_resolution,[],[f13,f19])). 0.07/0.31 tff(f23,plain,( 0.07/0.31 ~$less(7.5,$sum(sK0,0.0))), 0.07/0.31 inference(unit_resulting_resolution,[],[f5,f19])). 0.07/0.31 tff(f27,plain,( 0.07/0.31 ~$less(7.5,sK0)), 0.07/0.31 inference(evaluation,[],[f23])). 0.07/0.31 tff(f32,plain,( 0.07/0.31 spl1_1 <=> ~$less(7.5,sK0)), 0.07/0.31 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])). 0.07/0.31 tff(f33,plain,( 0.07/0.31 ~$less(7.5,sK0) | ~spl1_1), 0.07/0.31 inference(avatar_component_clause,[],[f32])). 0.07/0.31 tff(f34,plain,( 0.07/0.31 ~spl1_1), 0.07/0.31 inference(avatar_split_clause,[],[f27,f32])). 0.07/0.31 tff(f35,plain,( 0.07/0.31 ~$less(7.5,sK0)), 0.07/0.31 inference(forward_demodulation,[],[f22,f13])). 0.07/0.31 tff(f36,plain,( 0.07/0.31 ~spl1_1), 0.07/0.31 inference(avatar_split_clause,[],[f35,f32])). 0.07/0.31 tff(f37,plain,( 0.07/0.31 $less(sK0,$sum(7.5,1.0)) | ~spl1_1), 0.07/0.31 inference(unit_resulting_resolution,[],[f33,f12])). 0.07/0.31 tff(f39,plain,( 0.07/0.31 $less(sK0,7.5) | 7.5 = sK0 | ~spl1_1), 0.07/0.31 inference(resolution,[],[f33,f10])). 0.07/0.31 tff(f40,plain,( 0.07/0.31 $less(sK0,8.5) | ~spl1_1), 0.07/0.31 inference(evaluation,[],[f37])). 0.07/0.31 tff(f45,plain,( 0.07/0.31 spl1_2 <=> $less(sK0,8.5)), 0.07/0.31 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])). 0.07/0.31 tff(f47,plain,( 0.07/0.31 spl1_2 | spl1_1), 0.07/0.31 inference(avatar_split_clause,[],[f40,f32,f45])). 0.07/0.31 tff(f52,plain,( 0.07/0.31 spl1_4 <=> 7.5 = sK0), 0.07/0.31 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])). 0.07/0.31 tff(f53,plain,( 0.07/0.31 7.5 = sK0 | ~spl1_4), 0.07/0.31 inference(avatar_component_clause,[],[f52])). 0.07/0.31 tff(f58,plain,( 0.07/0.31 spl1_6 <=> $less(sK0,7.5)), 0.07/0.31 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])). 0.07/0.31 tff(f60,plain,( 0.07/0.31 spl1_4 | spl1_6 | spl1_1), 0.07/0.31 inference(avatar_split_clause,[],[f39,f32,f58,f52])). 0.07/0.31 tff(f71,plain,( 0.07/0.31 $uminus($uminus(sK0)) = 7.7), 0.07/0.31 inference(unit_resulting_resolution,[],[f13,f21])). 0.07/0.31 tff(f72,plain,( 0.07/0.31 $sum(sK0,0.0) = 7.7), 0.07/0.31 inference(unit_resulting_resolution,[],[f5,f21])). 0.07/0.31 tff(f73,plain,( 0.07/0.31 sK0 = 7.7), 0.07/0.31 inference(equality_resolution,[],[f21])). 0.07/0.31 tff(f74,plain,( 0.07/0.31 sK0 = 7.7), 0.07/0.31 inference(evaluation,[],[f72])). 0.07/0.31 tff(f75,plain,( 0.07/0.31 7.5 = 7.7 | ~spl1_4), 0.07/0.31 inference(forward_demodulation,[],[f74,f53])). 0.07/0.31 tff(f76,plain,( 0.07/0.31 $false | ~spl1_4), 0.07/0.31 inference(evaluation,[],[f75])). 0.07/0.31 tff(f77,plain,( 0.07/0.31 ~spl1_4), 0.07/0.31 inference(avatar_contradiction_clause,[],[f76])). 0.07/0.31 tff(f78,plain,( 0.07/0.31 $uminus($uminus(7.5)) = 7.7 | ~spl1_4), 0.07/0.31 inference(forward_demodulation,[],[f71,f53])). 0.07/0.31 tff(f79,plain,( 0.07/0.31 $uminus(-7.5) = 7.7 | ~spl1_4), 0.07/0.31 inference(evaluation,[],[f78])). 0.07/0.31 tff(f80,plain,( 0.07/0.31 $false | ~spl1_4), 0.07/0.31 inference(evaluation,[],[f79])). 0.07/0.31 tff(f81,plain,( 0.07/0.31 ~spl1_4), 0.07/0.31 inference(avatar_contradiction_clause,[],[f80])). 0.07/0.31 tff(f82,plain,( 0.07/0.31 7.5 = 7.7 | ~spl1_4), 0.07/0.31 inference(forward_demodulation,[],[f73,f53])). 0.07/0.31 tff(f83,plain,( 0.07/0.31 $false | ~spl1_4), 0.07/0.31 inference(evaluation,[],[f82])). 0.07/0.31 tff(f84,plain,( 0.07/0.31 ~spl1_4), 0.07/0.31 inference(avatar_contradiction_clause,[],[f83])). 0.07/0.31 tff(f89,plain,( 0.07/0.31 spl1_8 <=> sK0 = 7.7), 0.07/0.31 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])). 0.07/0.31 tff(f91,plain,( 0.07/0.31 spl1_8), 0.07/0.31 inference(avatar_split_clause,[],[f73,f89])). 0.07/0.31 tff(f96,plain,( 0.07/0.31 spl1_10 <=> $uminus($uminus(sK0)) = 7.7), 0.07/0.31 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])). 0.07/0.31 tff(f98,plain,( 0.07/0.31 spl1_10), 0.07/0.31 inference(avatar_split_clause,[],[f71,f96])). 0.07/0.31 tff(f99,plain,( 0.07/0.31 spl1_8), 0.07/0.31 inference(avatar_split_clause,[],[f74,f89])). 0.07/0.31 tff(f100,plain,( 0.07/0.31 $false), 0.07/0.31 inference(avatar_sat_refutation,[],[f34,f36,f47,f60,f77,f81,f84,f91,f98,f99])). 0.07/0.31 % SZS output end Proof for theBenchmark 0.07/0.31 % ------------------------------ 0.07/0.31 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.07/0.31 % Termination reason: Refutation 0.07/0.31 0.07/0.31 % Memory used [KB]: 5117 0.07/0.31 % Time elapsed: 0.035 s 0.07/0.31 % ------------------------------ 0.07/0.31 % ------------------------------ 0.07/0.31 % Success in time 0.07 s 0.07/0.31 EOF