0.00/0.04 % 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 : n143.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 04:17:56 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.24 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.24 % remaining time: 3000 next slice time: 3 0.06/0.27 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 0.06/0.28 % Refutation found. Thanks to Tanya! 0.06/0.28 % SZS status Theorem for theBenchmark 0.06/0.28 % SZS output start Proof for theBenchmark 0.06/0.28 tff(func_def_6, type, sK0: $real). 0.06/0.28 tff(f1,conjecture,( 0.06/0.28 ! [X0 : $real] : (12.05 = $difference(16.05,X0) => 4.0 = X0)), 0.06/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_difference_problem_8)). 0.06/0.28 tff(f2,negated_conjecture,( 0.06/0.28 ~! [X0 : $real] : (12.05 = $difference(16.05,X0) => 4.0 = X0)), 0.06/0.28 inference(negated_conjecture,[],[f1])). 0.06/0.28 tff(f3,plain,( 0.06/0.28 ~! [X0 : $real] : (12.05 = $sum(16.05,$uminus(X0)) => 4.0 = X0)), 0.06/0.28 inference(evaluation,[],[f2])). 0.06/0.28 tff(f4,plain,( 0.06/0.28 ? [X0 : $real] : (4.0 != X0 & 12.05 = $sum(16.05,$uminus(X0)))), 0.06/0.28 inference(ennf_transformation,[],[f3])). 0.06/0.28 tff(f5,plain,( 0.06/0.28 ? [X0 : $real] : (4.0 != X0 & 12.05 = $sum(16.05,$uminus(X0))) => (4.0 != sK0 & 12.05 = $sum(16.05,$uminus(sK0)))), 0.06/0.28 introduced(choice_axiom,[])). 0.06/0.28 tff(f6,plain,( 0.06/0.28 4.0 != sK0 & 12.05 = $sum(16.05,$uminus(sK0))), 0.06/0.28 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5])). 0.06/0.28 tff(f7,plain,( 0.06/0.28 12.05 = $sum(16.05,$uminus(sK0))), 0.06/0.28 inference(cnf_transformation,[],[f6])). 0.06/0.28 tff(f8,plain,( 0.06/0.28 4.0 != sK0), 0.06/0.28 inference(cnf_transformation,[],[f6])). 0.06/0.28 tff(f9,plain,( 0.06/0.28 ( ! [X1:$real] : (sK0 != X1 | 4.0 != X1) )), 0.06/0.28 inference(theory_flattening,[],[f8])). 0.06/0.28 tff(f10,plain,( 0.06/0.28 ( ! [X1:$real] : (sK0 != X1 | 12.05 = $sum(16.05,$uminus(X1))) )), 0.06/0.28 inference(theory_flattening,[],[f7])). 0.06/0.28 tff(f11,plain,( 0.06/0.28 ( ! [X1:$real] : (sK0 != X1 | $sum(12.05,-16.05) = $uminus(X1)) )), 0.06/0.28 inference(evaluation,[],[f10])). 0.06/0.28 tff(f12,plain,( 0.06/0.28 ( ! [X1:$real] : ($uminus(X1) = -4.0 | sK0 != X1) )), 0.06/0.28 inference(evaluation,[],[f11])). 0.06/0.28 tff(f13,plain,( 0.06/0.28 4.0 != sK0), 0.06/0.28 inference(equality_resolution,[],[f9])). 0.06/0.28 tff(f14,plain,( 0.06/0.28 4.0 != sK0 | 4.0 != 4.0), 0.06/0.28 inference(Instantiation,[],[f9])). 0.06/0.28 tff(f15,plain,( 0.06/0.28 sK0 != sK0 | 4.0 != sK0), 0.06/0.28 inference(Instantiation,[],[f9])). 0.06/0.28 tff(f16,plain,( 0.06/0.28 4.0 != sK0 | 4.0 != 4.0), 0.06/0.28 inference(Instantiation,[],[f9])). 0.06/0.28 tff(f19,plain,( 0.06/0.28 sK0 != sK0 | 4.0 != sK0), 0.06/0.28 inference(Instantiation,[],[f9])). 0.06/0.28 tff(f20,plain,( 0.06/0.28 4.0 != sK0), 0.06/0.28 inference(trivial_inequality_removal,[],[f19])). 0.06/0.28 tff(f21,plain,( 0.06/0.28 4.0 != sK0), 0.06/0.28 inference(trivial_inequality_removal,[],[f16])). 0.06/0.28 tff(f22,plain,( 0.06/0.28 4.0 != sK0), 0.06/0.28 inference(trivial_inequality_removal,[],[f15])). 0.06/0.28 tff(f23,plain,( 0.06/0.28 4.0 != sK0), 0.06/0.28 inference(trivial_inequality_removal,[],[f14])). 0.06/0.28 tff(f26,plain,( 0.06/0.28 $uminus(16.05) = -4.0 | 16.05 != sK0), 0.06/0.28 inference(Instantiation,[],[f12])). 0.06/0.28 tff(f27,plain,( 0.06/0.28 $uminus(12.05) = -4.0 | 12.05 != sK0), 0.06/0.28 inference(Instantiation,[],[f12])). 0.06/0.28 tff(f28,plain,( 0.06/0.28 $uminus(sK0) = -4.0 | sK0 != sK0), 0.06/0.28 inference(Instantiation,[],[f12])). 0.06/0.28 tff(f29,plain,( 0.06/0.28 $uminus(sK0) = -4.0), 0.06/0.28 inference(trivial_inequality_removal,[],[f28])). 0.06/0.28 tff(f30,plain,( 0.06/0.28 12.05 != sK0), 0.06/0.28 inference(evaluation,[],[f27])). 0.06/0.28 tff(f31,plain,( 0.06/0.28 16.05 != sK0), 0.06/0.28 inference(evaluation,[],[f26])). 0.06/0.28 tff(f37,plain,( 0.06/0.28 spl1_1 <=> 4.0 != sK0), 0.06/0.28 introduced(AVATAR_definition,[new_symbols(naming,[spl1_1])])). 0.06/0.28 tff(f39,plain,( 0.06/0.28 ~spl1_1), 0.06/0.28 inference(AVATAR_split_clause,[],[f13,f37])). 0.06/0.28 tff(f40,plain,( 0.06/0.28 ~spl1_1), 0.06/0.28 inference(AVATAR_split_clause,[],[f20,f37])). 0.06/0.28 tff(f41,plain,( 0.06/0.28 ~spl1_1), 0.06/0.28 inference(AVATAR_split_clause,[],[f21,f37])). 0.06/0.28 tff(f42,plain,( 0.06/0.28 ~spl1_1), 0.06/0.28 inference(AVATAR_split_clause,[],[f22,f37])). 0.06/0.28 tff(f43,plain,( 0.06/0.28 ~spl1_1), 0.06/0.28 inference(AVATAR_split_clause,[],[f23,f37])). 0.06/0.28 tff(f48,plain,( 0.06/0.28 spl1_3 <=> 12.05 != sK0), 0.06/0.28 introduced(AVATAR_definition,[new_symbols(naming,[spl1_3])])). 0.06/0.28 tff(f50,plain,( 0.06/0.28 ~spl1_3), 0.06/0.28 inference(AVATAR_split_clause,[],[f30,f48])). 0.06/0.28 tff(f55,plain,( 0.06/0.28 spl1_5 <=> 16.05 != sK0), 0.06/0.28 introduced(AVATAR_definition,[new_symbols(naming,[spl1_5])])). 0.06/0.28 tff(f57,plain,( 0.06/0.28 ~spl1_5), 0.06/0.28 inference(AVATAR_split_clause,[],[f31,f55])). 0.06/0.28 tff(f62,plain,( 0.06/0.28 spl1_6 <=> $uminus(sK0) = -4.0), 0.06/0.28 introduced(AVATAR_definition,[new_symbols(naming,[spl1_6])])). 0.06/0.28 tff(f64,plain,( 0.06/0.28 spl1_6), 0.06/0.28 inference(AVATAR_split_clause,[],[f29,f62])). 0.06/0.28 tff(f65,plain,( 0.06/0.28 $false), 0.06/0.28 inference(AVATAR_sat_refutation,[],[f39,f40,f41,f42,f43,f50,f57,f64])). 0.06/0.28 % SZS output end Proof for theBenchmark 0.06/0.28 % ------------------------------ 0.06/0.28 % Version: Vampire 4.1 for CASC J8 Entry 0.06/0.28 % Termination reason: Refutation 0.06/0.28 0.06/0.28 % Memory used [KB]: 511 0.06/0.28 % Time elapsed: 0.015 s 0.06/0.28 % ------------------------------ 0.06/0.28 % ------------------------------ 0.06/0.28 % Success in time 0.044 s 0.06/0.28 EOF