0.02/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.05 % Command : vampire --mode casc -m 90000 -t %d %s 0.03/0.24 % Computer : n186.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 04:27:56 CDT 2018 0.03/0.24 % CPUTime : 0.03/0.25 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.25 % remaining time: 3000 next slice time: 3 0.08/0.28 dis+1002_4_gs=on:inst=on:nm=64:nwc=1.3:sas=z3:sac=on:sfr=on:smm=off:ssnc=none:sp=occurrence:tha=off:thf=on:updr=off_1 on theBenchmark 0.08/0.29 % Refutation found. Thanks to Tanya! 0.08/0.29 % SZS status Theorem for theBenchmark 0.08/0.29 % SZS output start Proof for theBenchmark 0.08/0.29 tff(func_def_4, type, sK0: $real). 0.08/0.29 tff(f1,conjecture,( 0.08/0.29 ! [X0 : $real] : ($sum(4.25,5.75) = X0 => 10.0 = X0)), 0.08/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_sum_problem_9)). 0.08/0.29 tff(f2,negated_conjecture,( 0.08/0.29 ~! [X0 : $real] : ($sum(4.25,5.75) = X0 => 10.0 = X0)), 0.08/0.29 inference(negated_conjecture,[],[f1])). 0.08/0.29 tff(f3,plain,( 0.08/0.29 ? [X0 : $real] : (10.0 != X0 & $sum(4.25,5.75) = X0)), 0.08/0.29 inference(ennf_transformation,[],[f2])). 0.08/0.29 tff(f4,plain,( 0.08/0.29 ? [X0 : $real] : (10.0 != X0 & $sum(4.25,5.75) = X0) => (10.0 != sK0 & $sum(4.25,5.75) = sK0)), 0.08/0.29 introduced(choice_axiom,[])). 0.08/0.29 tff(f5,plain,( 0.08/0.29 10.0 != sK0 & $sum(4.25,5.75) = sK0), 0.08/0.29 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f3,f4])). 0.08/0.29 tff(f6,plain,( 0.08/0.29 $sum(4.25,5.75) = sK0), 0.08/0.29 inference(cnf_transformation,[],[f5])). 0.08/0.29 tff(f7,plain,( 0.08/0.29 10.0 != sK0), 0.08/0.29 inference(cnf_transformation,[],[f5])). 0.08/0.29 tff(f8,plain,( 0.08/0.29 ( ! [X1:$real] : (sK0 != X1 | 10.0 != X1) )), 0.08/0.29 inference(theory_flattening,[],[f7])). 0.08/0.29 tff(f9,plain,( 0.08/0.29 ( ! [X1:$real] : (sK0 != X1 | $sum(4.25,5.75) = X1) )), 0.08/0.29 inference(theory_flattening,[],[f6])). 0.08/0.29 tff(f10,plain,( 0.08/0.29 ( ! [X1:$real] : (sK0 != X1 | 10.0 = X1) )), 0.08/0.29 inference(evaluation,[],[f9])). 0.08/0.29 tff(f24,plain,( 0.08/0.29 ( ! [X1:$real] : (sK0 != X1) )), 0.08/0.29 inference(subsumption_resolution,[],[f10,f8])). 0.08/0.29 tff(f31,plain,( 0.08/0.29 sK0 != sK0), 0.08/0.29 inference(Instantiation,[],[f24])). 0.08/0.29 tff(f32,plain,( 0.08/0.29 $false), 0.08/0.29 inference(trivial_inequality_removal,[],[f31])). 0.08/0.29 % SZS output end Proof for theBenchmark 0.08/0.29 % ------------------------------ 0.08/0.29 % Version: Vampire 4.1 for CASC J8 Entry 0.08/0.29 % Termination reason: Refutation 0.08/0.29 0.08/0.29 % Memory used [KB]: 511 0.08/0.29 % Time elapsed: 0.013 s 0.08/0.29 % ------------------------------ 0.08/0.29 % ------------------------------ 0.08/0.29 % Success in time 0.042 s 0.08/0.29 EOF