0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -m 90000 -t %d %s 0.03/0.23 % Computer : n158.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 04:19:40 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.23 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.23 % remaining time: 3000 next slice time: 3 0.07/0.26 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 0.07/0.27 % Refutation found. Thanks to Tanya! 0.07/0.27 % SZS status Theorem for theBenchmark 0.07/0.27 % SZS output start Proof for theBenchmark 0.07/0.27 tff(func_def_4, type, sK0: $real). 0.07/0.27 tff(f1,conjecture,( 0.07/0.27 ! [X0 : $real] : (10.0 = $sum(X0,5.75) => 4.25 = X0)), 0.07/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_sum_problem_10)). 0.07/0.27 tff(f2,negated_conjecture,( 0.07/0.27 ~! [X0 : $real] : (10.0 = $sum(X0,5.75) => 4.25 = X0)), 0.07/0.27 inference(negated_conjecture,[],[f1])). 0.07/0.27 tff(f3,plain,( 0.07/0.27 ? [X0 : $real] : (4.25 != X0 & 10.0 = $sum(X0,5.75))), 0.07/0.27 inference(ennf_transformation,[],[f2])). 0.07/0.27 tff(f4,plain,( 0.07/0.27 ? [X0 : $real] : (4.25 != X0 & 10.0 = $sum(X0,5.75)) => (4.25 != sK0 & 10.0 = $sum(sK0,5.75))), 0.07/0.27 introduced(choice_axiom,[])). 0.07/0.27 tff(f5,plain,( 0.07/0.27 4.25 != sK0 & 10.0 = $sum(sK0,5.75)), 0.07/0.27 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f3,f4])). 0.07/0.27 tff(f6,plain,( 0.07/0.27 10.0 = $sum(sK0,5.75)), 0.07/0.27 inference(cnf_transformation,[],[f5])). 0.07/0.27 tff(f7,plain,( 0.07/0.27 4.25 != sK0), 0.07/0.27 inference(cnf_transformation,[],[f5])). 0.07/0.27 tff(f8,plain,( 0.07/0.27 ( ! [X1:$real] : (sK0 != X1 | 4.25 != X1) )), 0.07/0.27 inference(theory_flattening,[],[f7])). 0.07/0.27 tff(f9,plain,( 0.07/0.27 ( ! [X1:$real] : (sK0 != X1 | 10.0 = $sum(X1,5.75)) )), 0.07/0.27 inference(theory_flattening,[],[f6])). 0.07/0.27 tff(f10,plain,( 0.07/0.27 ( ! [X1:$real] : (sK0 != X1 | $sum(10.0,-5.75) = X1) )), 0.07/0.27 inference(evaluation,[],[f9])). 0.07/0.27 tff(f11,plain,( 0.07/0.27 ( ! [X1:$real] : (sK0 != X1 | 4.25 = X1) )), 0.07/0.27 inference(evaluation,[],[f10])). 0.07/0.27 tff(f23,plain,( 0.07/0.27 ( ! [X1:$real] : (sK0 != X1) )), 0.07/0.27 inference(subsumption_resolution,[],[f11,f8])). 0.07/0.27 tff(f29,plain,( 0.07/0.27 sK0 != sK0), 0.07/0.27 inference(Instantiation,[],[f23])). 0.07/0.27 tff(f30,plain,( 0.07/0.27 $false), 0.07/0.27 inference(trivial_inequality_removal,[],[f29])). 0.07/0.27 % SZS output end Proof for theBenchmark 0.07/0.27 % ------------------------------ 0.07/0.27 % Version: Vampire 4.1 for CASC J8 Entry 0.07/0.27 % Termination reason: Refutation 0.07/0.27 0.07/0.27 % Memory used [KB]: 511 0.07/0.27 % Time elapsed: 0.013 s 0.07/0.27 % ------------------------------ 0.07/0.27 % ------------------------------ 0.07/0.27 % Success in time 0.042 s 0.07/0.27 EOF