0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.02/0.25 % Computer : n141.star.cs.uiowa.edu 0.02/0.25 % Model : x86_64 x86_64 0.02/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.25 % Memory : 32218.625MB 0.02/0.25 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.25 % CPULimit : 300 0.02/0.25 % DateTime : Fri Jul 13 14:52:42 CDT 2018 0.02/0.25 % CPUTime : 0.02/0.26 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.02/0.26 % remaining time: 5999 next slice time: 4 0.07/0.30 dis+1010_4_afp=10000:afq=1.2:anc=none:irw=on:lma=on:nm=64:nwc=10:sas=z3:sac=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.07/0.32 % Refutation found. Thanks to Tanya! 0.07/0.32 % SZS status Theorem for theBenchmark 0.07/0.32 % SZS output start Proof for theBenchmark 0.07/0.32 fof(f79,axiom,( 0.07/0.32 rdn_translate(nn8,rdn_neg(rdnn(n8)))), 0.07/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn8)). 0.07/0.32 fof(f258,axiom,( 0.07/0.32 ! [X0,X1,X2,X3] : ((rdn_translate(X1,rdn_pos(X3)) & rdn_translate(X0,rdn_neg(X2))) => less(X0,X1))), 0.07/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_neg_pos)). 0.07/0.32 fof(f270,axiom,( 0.07/0.32 rdn_non_zero_digit(rdnn(n2))), 0.07/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2)). 0.07/0.32 fof(f271,axiom,( 0.07/0.32 rdn_positive_less(rdnn(n2),rdnn(n3))), 0.07/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23)). 0.07/0.32 fof(f275,axiom,( 0.07/0.32 ! [X0,X1] : (less(X0,X1) <=> (~less(X1,X0) & X0 != X1))), 0.07/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property)). 0.07/0.32 fof(f280,axiom,( 0.07/0.32 ! [X0] : (rdn_non_zero_digit(rdnn(X0)) => rdn_non_zero(rdnn(X0)))), 0.07/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit)). 0.07/0.32 fof(f396,axiom,( 0.07/0.32 rdn_digit_add(rdnn(n6),rdnn(n3),rdnn(n9),rdnn(n0))), 0.07/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n6_n3_n9_n0)). 0.07/0.32 fof(f402,conjecture,( 0.07/0.32 ? [X0] : n12 != X0), 0.07/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_not_n12)). 0.07/0.32 fof(f403,negated_conjecture,( 0.07/0.32 ~? [X0] : n12 != X0), 0.07/0.32 inference(negated_conjecture,[],[f402])). 0.07/0.32 fof(f425,plain,( 0.07/0.32 ! [X0] : n12 = X0), 0.07/0.32 inference(ennf_transformation,[],[f403])). 0.07/0.32 fof(f426,plain,( 0.07/0.32 ! [X0] : (rdn_non_zero(rdnn(X0)) | ~rdn_non_zero_digit(rdnn(X0)))), 0.07/0.32 inference(ennf_transformation,[],[f280])). 0.07/0.32 fof(f442,plain,( 0.07/0.32 ! [X0,X1,X2,X3] : (less(X0,X1) | (~rdn_translate(X1,rdn_pos(X3)) | ~rdn_translate(X0,rdn_neg(X2))))), 0.07/0.32 inference(ennf_transformation,[],[f258])). 0.07/0.32 fof(f443,plain,( 0.07/0.32 ! [X0,X1,X2,X3] : (less(X0,X1) | ~rdn_translate(X1,rdn_pos(X3)) | ~rdn_translate(X0,rdn_neg(X2)))), 0.07/0.32 inference(flattening,[],[f442])). 0.07/0.32 fof(f471,plain,( 0.07/0.32 ! [X0,X1] : ((less(X0,X1) | (less(X1,X0) | X0 = X1)) & ((~less(X1,X0) & X0 != X1) | ~less(X0,X1)))), 0.07/0.32 inference(nnf_transformation,[],[f275])). 0.07/0.32 fof(f472,plain,( 0.07/0.32 ! [X0,X1] : ((less(X0,X1) | less(X1,X0) | X0 = X1) & ((~less(X1,X0) & X0 != X1) | ~less(X0,X1)))), 0.07/0.32 inference(flattening,[],[f471])). 0.07/0.32 fof(f474,plain,( 0.07/0.32 ( ! [X0] : (n12 = X0) )), 0.07/0.32 inference(cnf_transformation,[],[f425])). 0.07/0.32 fof(f475,plain,( 0.07/0.32 rdn_non_zero_digit(rdnn(n2))), 0.07/0.32 inference(cnf_transformation,[],[f270])). 0.07/0.32 fof(f484,plain,( 0.07/0.32 rdn_positive_less(rdnn(n2),rdnn(n3))), 0.07/0.32 inference(cnf_transformation,[],[f271])). 0.07/0.32 fof(f493,plain,( 0.07/0.32 rdn_translate(nn8,rdn_neg(rdnn(n8)))), 0.07/0.32 inference(cnf_transformation,[],[f79])). 0.07/0.32 fof(f692,plain,( 0.07/0.32 rdn_digit_add(rdnn(n6),rdnn(n3),rdnn(n9),rdnn(n0))), 0.07/0.32 inference(cnf_transformation,[],[f396])). 0.07/0.32 fof(f849,plain,( 0.07/0.32 ( ! [X0] : (rdn_non_zero(rdnn(X0)) | ~rdn_non_zero_digit(rdnn(X0))) )), 0.07/0.32 inference(cnf_transformation,[],[f426])). 0.07/0.32 fof(f854,plain,( 0.07/0.32 ( ! [X0,X1] : (X0 != X1 | ~less(X0,X1)) )), 0.07/0.32 inference(cnf_transformation,[],[f472])). 0.07/0.32 fof(f855,plain,( 0.07/0.32 ( ! [X0,X1] : (~less(X1,X0) | ~less(X0,X1)) )), 0.07/0.32 inference(cnf_transformation,[],[f472])). 0.07/0.32 fof(f867,plain,( 0.07/0.32 ( ! [X2,X0,X3,X1] : (less(X0,X1) | ~rdn_translate(X1,rdn_pos(X3)) | ~rdn_translate(X0,rdn_neg(X2))) )), 0.07/0.32 inference(cnf_transformation,[],[f443])). 0.07/0.32 fof(f882,plain,( 0.07/0.32 ( ! [X1] : (~less(X1,X1)) )), 0.07/0.32 inference(equality_resolution,[],[f854])). 0.07/0.32 fof(f883,plain,( 0.07/0.32 ( ! [X0,X1] : (X0 = X1) )), 0.07/0.32 inference(superposition,[],[f474,f474])). 0.07/0.32 fof(f884,plain,( 0.07/0.32 rdn_non_zero_digit(n12)), 0.07/0.32 inference(forward_demodulation,[],[f475,f474])). 0.07/0.32 fof(f889,plain,( 0.07/0.32 spl0_0 <=> rdn_non_zero_digit(n12)), 0.07/0.32 introduced(avatar_definition,[new_symbols(naming,[spl0_0])])). 0.07/0.32 fof(f890,plain,( 0.07/0.32 rdn_non_zero_digit(n12) | ~spl0_0), 0.07/0.32 inference(avatar_component_clause,[],[f889])). 0.07/0.32 fof(f891,plain,( 0.07/0.32 spl0_0), 0.07/0.32 inference(avatar_split_clause,[],[f884,f889])). 0.07/0.32 fof(f892,plain,( 0.07/0.32 ( ! [X0] : (rdn_non_zero_digit(X0)) ) | ~spl0_0), 0.07/0.32 inference(superposition,[],[f890,f474])). 0.07/0.32 fof(f897,plain,( 0.07/0.32 rdn_positive_less(rdnn(n2),n12)), 0.07/0.32 inference(forward_demodulation,[],[f484,f474])). 0.07/0.32 fof(f898,plain,( 0.07/0.32 rdn_positive_less(n12,n12)), 0.07/0.32 inference(forward_demodulation,[],[f897,f474])). 0.07/0.32 fof(f903,plain,( 0.07/0.32 spl0_2 <=> rdn_positive_less(n12,n12)), 0.07/0.32 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 0.07/0.32 fof(f905,plain,( 0.07/0.32 spl0_2), 0.07/0.32 inference(avatar_split_clause,[],[f898,f903])). 0.07/0.32 fof(f925,plain,( 0.07/0.32 rdn_translate(nn8,n12)), 0.07/0.32 inference(forward_demodulation,[],[f493,f474])). 0.07/0.32 fof(f930,plain,( 0.07/0.32 spl0_4 <=> rdn_translate(nn8,n12)), 0.07/0.32 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 0.07/0.32 fof(f931,plain,( 0.07/0.32 rdn_translate(nn8,n12) | ~spl0_4), 0.07/0.32 inference(avatar_component_clause,[],[f930])). 0.07/0.32 fof(f932,plain,( 0.07/0.32 spl0_4), 0.07/0.32 inference(avatar_split_clause,[],[f925,f930])). 0.07/0.32 fof(f937,plain,( 0.07/0.32 ( ! [X0] : (rdn_translate(nn8,X0)) ) | ~spl0_4), 0.07/0.32 inference(superposition,[],[f931,f474])). 0.07/0.32 fof(f938,plain,( 0.07/0.32 ( ! [X0,X1] : (rdn_translate(X0,X1)) ) | ~spl0_4), 0.07/0.32 inference(superposition,[],[f937,f883])). 0.07/0.32 fof(f944,plain,( 0.07/0.32 ( ! [X0] : (rdn_non_zero(rdnn(X0))) ) | ~spl0_0), 0.07/0.32 inference(subsumption_resolution,[],[f849,f892])). 0.07/0.32 fof(f945,plain,( 0.07/0.32 rdn_non_zero(n12) | ~spl0_0), 0.07/0.32 inference(forward_demodulation,[],[f944,f474])). 0.07/0.32 fof(f950,plain,( 0.07/0.32 spl0_6 <=> rdn_non_zero(n12)), 0.07/0.32 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 0.07/0.32 fof(f952,plain,( 0.07/0.32 spl0_6 | ~spl0_0), 0.07/0.32 inference(avatar_split_clause,[],[f945,f889,f950])). 0.07/0.32 fof(f956,plain,( 0.07/0.32 rdn_digit_add(rdnn(n6),rdnn(n3),rdnn(n9),n12)), 0.07/0.32 inference(forward_demodulation,[],[f692,f474])). 0.07/0.32 fof(f957,plain,( 0.07/0.32 rdn_digit_add(rdnn(n6),rdnn(n3),n12,n12)), 0.07/0.32 inference(forward_demodulation,[],[f956,f474])). 0.07/0.32 fof(f958,plain,( 0.07/0.32 rdn_digit_add(rdnn(n6),n12,n12,n12)), 0.07/0.32 inference(forward_demodulation,[],[f957,f474])). 0.07/0.32 fof(f959,plain,( 0.07/0.32 rdn_digit_add(n12,n12,n12,n12)), 0.07/0.32 inference(forward_demodulation,[],[f958,f474])). 0.07/0.32 fof(f964,plain,( 0.07/0.32 spl0_8 <=> rdn_digit_add(n12,n12,n12,n12)), 0.07/0.32 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 0.07/0.32 fof(f966,plain,( 0.07/0.32 spl0_8), 0.07/0.32 inference(avatar_split_clause,[],[f959,f964])). 0.07/0.32 fof(f1312,plain,( 0.07/0.32 ( ! [X2,X0,X1] : (less(X0,X1) | ~rdn_translate(X0,rdn_neg(X2))) ) | ~spl0_4), 0.07/0.32 inference(subsumption_resolution,[],[f867,f938])). 0.07/0.32 fof(f1313,plain,( 0.07/0.32 ( ! [X0,X1] : (less(X0,X1)) ) | ~spl0_4), 0.07/0.32 inference(subsumption_resolution,[],[f1312,f938])). 0.07/0.32 fof(f1314,plain,( 0.07/0.32 $false | ~spl0_4), 0.07/0.32 inference(resolution,[],[f1313,f882])). 0.07/0.32 fof(f1315,plain,( 0.07/0.32 ( ! [X0,X1] : (~less(X0,X1)) ) | ~spl0_4), 0.07/0.32 inference(resolution,[],[f1313,f855])). 0.07/0.32 fof(f1317,plain,( 0.07/0.32 ~spl0_4), 0.07/0.32 inference(avatar_contradiction_clause,[],[f1314])). 0.07/0.32 fof(f1318,plain,( 0.07/0.32 $false | ~spl0_4), 0.07/0.32 inference(subsumption_resolution,[],[f1315,f1313])). 0.07/0.32 fof(f1319,plain,( 0.07/0.32 ~spl0_4), 0.07/0.32 inference(avatar_contradiction_clause,[],[f1318])). 0.07/0.32 fof(f1320,plain,( 0.07/0.32 $false), 0.07/0.32 inference(avatar_sat_refutation,[],[f891,f905,f932,f952,f966,f1317,f1319])). 0.07/0.32 % SZS output end Proof for theBenchmark 0.07/0.32 % ------------------------------ 0.07/0.32 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.07/0.32 % Termination reason: Refutation 0.07/0.32 0.07/0.32 % Memory used [KB]: 1023 0.07/0.32 % Time elapsed: 0.028 s 0.07/0.32 % ------------------------------ 0.07/0.32 % ------------------------------ 0.07/0.32 % Success in time 0.068 s 0.07/0.33 EOF