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 : n139.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 04:23:09 CDT 2018 0.02/0.25 % 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_0, type, sqr: $real > $real). 0.07/0.31 tff(func_def_1, type, sqrt: $real > $real). 0.07/0.31 tff(f2,axiom,( 0.07/0.31 ! [X0 : $real] : ($lesseq(0.0,X0) => sqrt($product(X0,X0)) = X0)), 0.07/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',square_sqrt)). 0.07/0.31 tff(f5,conjecture,( 0.07/0.31 sqrt(1.0) = 1.0), 0.07/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sqrt_one)). 0.07/0.31 tff(f6,negated_conjecture,( 0.07/0.31 ~sqrt(1.0) = 1.0), 0.07/0.31 inference(negated_conjecture,[],[f5])). 0.07/0.31 tff(f23,plain,( 0.07/0.31 ( ! [X0:$real] : ($product(X0,1.0) = X0) )), 0.07/0.31 introduced(theory_axiom,[])). 0.07/0.31 tff(f29,plain,( 0.07/0.31 ! [X0 : $real] : (~$less(X0,0.0) => sqrt($product(X0,X0)) = X0)), 0.07/0.31 inference(evaluation,[],[f2])). 0.07/0.31 tff(f32,plain,( 0.07/0.31 sqrt(1.0) != 1.0), 0.07/0.31 inference(flattening,[],[f6])). 0.07/0.31 tff(f35,plain,( 0.07/0.31 ! [X0 : $real] : (sqrt($product(X0,X0)) = X0 | $less(X0,0.0))), 0.07/0.31 inference(ennf_transformation,[],[f29])). 0.07/0.31 tff(f40,plain,( 0.07/0.31 sqrt(1.0) != 1.0), 0.07/0.31 inference(cnf_transformation,[],[f32])). 0.07/0.31 tff(f45,plain,( 0.07/0.31 ( ! [X0:$real] : (sqrt($product(X0,X0)) = X0 | $less(X0,0.0)) )), 0.07/0.31 inference(cnf_transformation,[],[f35])). 0.07/0.31 tff(f51,plain,( 0.07/0.31 ( ! [X0:$real,X1:$real] : ($less(X0,0.0) | sqrt(X1) = X0 | $product(X0,X0) != X1) )), 0.07/0.31 inference(theory_flattening,[],[f45])). 0.07/0.31 tff(f58,plain,( 0.07/0.31 spl0_1 <=> sqrt(1.0) != 1.0), 0.07/0.31 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 0.07/0.31 tff(f59,plain,( 0.07/0.31 sqrt(1.0) != 1.0 | ~spl0_1), 0.07/0.31 inference(avatar_component_clause,[],[f58])). 0.07/0.31 tff(f60,plain,( 0.07/0.31 ~spl0_1), 0.07/0.31 inference(avatar_split_clause,[],[f40,f58])). 0.07/0.31 tff(f61,plain,( 0.07/0.31 $less(1.0,0.0) | ~spl0_1), 0.07/0.31 inference(unit_resulting_resolution,[],[f23,f59,f51])). 0.07/0.31 tff(f62,plain,( 0.07/0.31 $false | ~spl0_1), 0.07/0.31 inference(evaluation,[],[f61])). 0.07/0.31 tff(f63,plain,( 0.07/0.31 spl0_1), 0.07/0.31 inference(avatar_contradiction_clause,[],[f62])). 0.07/0.31 tff(f64,plain,( 0.07/0.31 $false), 0.07/0.31 inference(avatar_sat_refutation,[],[f60,f63])). 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: 0.034 s 0.07/0.31 % ------------------------------ 0.07/0.31 % ------------------------------ 0.07/0.32 % Success in time 0.068 s 0.07/0.33 EOF