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 0.02/0.25 % Computer : n152.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 14:53:42 CDT 2018 0.02/0.25 % CPUTime : 0.02/0.25 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.02/0.25 % remaining time: 3000 next slice time: 3 0.06/0.28 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 0.06/0.31 % Refutation not found, incomplete strategy 0.06/0.31 % ------------------------------ 0.06/0.31 % Version: Vampire 4.1 for CASC J8 Entry 0.06/0.31 % Termination reason: Refutation not found, incomplete strategy 0.06/0.31 0.06/0.31 % Memory used [KB]: 767 0.06/0.31 % Time elapsed: 0.023 s 0.06/0.31 % ------------------------------ 0.06/0.31 % ------------------------------ 0.06/0.31 % remaining time: 2999 next slice time: 3 0.06/0.31 lrs+1_24_bs=unit_only:fsr=off:gs=on:gsem=on:inst=on:nm=64:nwc=3:sas=z3:stl=30:sac=on:sdd=large:sfr=on:ssfp=4000:ssfq=2.0:ssnc=none:sp=reverse_arity:thf=on:updr=off_1 on theBenchmark 0.40/0.71 % (62135)Time limit reached! 0.40/0.71 % ------------------------------ 0.40/0.71 % Version: Vampire 4.1 for CASC J8 Entry 0.40/0.71 % Termination reason: Time limit 0.40/0.71 % Termination phase: Saturation 0.40/0.71 0.40/0.71 % Memory used [KB]: 5245 0.40/0.71 % Time elapsed: 0.400 s 0.40/0.71 % ------------------------------ 0.40/0.71 % ------------------------------ 0.40/0.71 % remaining time: 2995 next slice time: 5 0.50/0.71 lrs+11_4:1_cond=on:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.7:sas=z3:stl=30:sdd=large:ssfp=100000:ssfq=1.2:smm=off:ssnc=none:tha=off_3 on theBenchmark 0.50/0.72 % Refutation not found, incomplete strategy 0.50/0.72 % ------------------------------ 0.50/0.72 % Version: Vampire 4.1 for CASC J8 Entry 0.50/0.72 % Termination reason: Refutation not found, incomplete strategy 0.50/0.72 0.50/0.72 % Memory used [KB]: 511 0.50/0.72 % Time elapsed: 0.013 s 0.50/0.72 % ------------------------------ 0.50/0.72 % ------------------------------ 0.50/0.73 % remaining time: 2995 next slice time: 9 0.50/0.73 dis+10_2:1_gs=on:gsem=off:irw=on:lcm=reverse:lma=on:nm=2:nwc=1.3:nicw=on:sas=z3:sac=on:sdd=off:sfr=on:ssfp=1000:ssfq=1.1:smm=sco:ssnc=none:sp=occurrence:tha=off:updr=off_7 on theBenchmark 0.50/0.74 % Refutation not found, incomplete strategy 0.50/0.74 % ------------------------------ 0.50/0.74 % Version: Vampire 4.1 for CASC J8 Entry 0.50/0.74 % Termination reason: Refutation not found, incomplete strategy 0.50/0.74 0.50/0.74 % Memory used [KB]: 639 0.50/0.74 % Time elapsed: 0.013 s 0.50/0.74 % ------------------------------ 0.50/0.74 % ------------------------------ 0.50/0.74 % remaining time: 2995 next slice time: 10 0.50/0.74 dis+11_2:1_bd=off:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:ssac=none:sdd=large:sfr=on:ssfp=40000:ssfq=1.0:ssnc=none:sp=reverse_arity:tha=off:updr=off_9 on theBenchmark 0.50/0.76 % Refutation not found, incomplete strategy 0.50/0.76 % ------------------------------ 0.50/0.76 % Version: Vampire 4.1 for CASC J8 Entry 0.50/0.76 % Termination reason: Refutation not found, incomplete strategy 0.50/0.76 0.50/0.76 % Memory used [KB]: 639 0.50/0.76 % Time elapsed: 0.012 s 0.50/0.76 % ------------------------------ 0.50/0.76 % ------------------------------ 0.50/0.76 % remaining time: 2994 next slice time: 40 0.50/0.76 lrs+10_1_cond=on:fsr=off:gs=on:gsem=on:inst=on:lwlo=on:nm=64:nwc=2:stl=30:sdd=large:sfr=on:ssfp=1000:ssfq=1.2:smm=sco:ssnc=none:updr=off_38 on theBenchmark 1.09/1.31 % Refutation found. Thanks to Tanya! 1.09/1.31 % SZS status Theorem for theBenchmark 1.09/1.31 % SZS output start Proof for theBenchmark 1.09/1.31 tff(func_def_0, type, a: $int). 1.09/1.31 tff(func_def_1, type, b: $int). 1.09/1.31 tff(func_def_2, type, f: $int > $int). 1.09/1.31 tff(f1,conjecture,( 1.09/1.31 ! [X0 : $int] : $greater(f(X0),X0) => ? [X1 : $int] : ($less($sum(a,b),X1) & $less(X1,$sum(f(a),f(b))))), 1.09/1.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fX_gt_X_implies_f_a_b)). 1.09/1.31 tff(f2,negated_conjecture,( 1.09/1.31 ~(! [X0 : $int] : $greater(f(X0),X0) => ? [X1 : $int] : ($less($sum(a,b),X1) & $less(X1,$sum(f(a),f(b)))))), 1.09/1.31 inference(negated_conjecture,[],[f1])). 1.09/1.31 tff(f3,plain,( 1.09/1.31 ~(! [X0 : $int] : $less(X0,f(X0)) => ? [X1 : $int] : ($less($sum(a,b),X1) & $less(X1,$sum(f(a),f(b)))))), 1.09/1.31 inference(evaluation,[],[f2])). 1.09/1.31 tff(f4,plain,( 1.09/1.31 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 1.09/1.31 introduced(theory_axiom,[])). 1.09/1.31 tff(f12,plain,( 1.09/1.31 ( ! [X2:$int,X0:$int,X1:$int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )), 1.09/1.31 introduced(theory_axiom,[])). 1.09/1.31 tff(f16,plain,( 1.09/1.31 ! [X1 : $int] : (~$less($sum(a,b),X1) | ~$less(X1,$sum(f(a),f(b)))) & ! [X0 : $int] : $less(X0,f(X0))), 1.09/1.31 inference(ennf_transformation,[],[f3])). 1.09/1.31 tff(f17,plain,( 1.09/1.31 ! [X0 : $int] : (~$less($sum(a,b),X0) | ~$less(X0,$sum(f(a),f(b)))) & ! [X1 : $int] : $less(X1,f(X1))), 1.09/1.31 inference(rectify,[],[f16])). 1.09/1.31 tff(f18,plain,( 1.09/1.31 ( ! [X1:$int] : ($less(X1,f(X1))) )), 1.09/1.31 inference(cnf_transformation,[],[f17])). 1.09/1.31 tff(f19,plain,( 1.09/1.31 ( ! [X0:$int] : (~$less(X0,$sum(f(a),f(b))) | ~$less($sum(a,b),X0)) )), 1.09/1.31 inference(cnf_transformation,[],[f17])). 1.09/1.31 tff(f519,plain,( 1.09/1.31 ( ! [X6:$int,X4:$int,X5:$int] : ($less($sum(X5,X4),$sum(X6,X5)) | ~$less(X4,X6)) )), 1.09/1.31 inference(superposition,[],[f12,f4])). 1.09/1.31 tff(f982,plain,( 1.09/1.31 ( ! [X2:$int] : (~$less($sum(a,b),$sum(X2,f(b))) | ~$less(X2,f(a))) )), 1.09/1.31 inference(resolution,[],[f19,f12])). 1.09/1.31 tff(f2669,plain,( 1.09/1.31 ( ! [X0:$int] : (~$less($sum(a,b),$sum(f(b),X0)) | ~$less(X0,f(a))) )), 1.09/1.31 inference(superposition,[],[f982,f4])). 1.09/1.31 tff(f30088,plain,( 1.09/1.31 spl0_589 <=> ~$less(a,f(a))), 1.09/1.31 introduced(AVATAR_definition,[new_symbols(naming,[spl0_589])])). 1.09/1.31 tff(f30089,plain,( 1.09/1.31 ~$less(a,f(a)) | ~spl0_589), 1.09/1.31 inference(AVATAR_component_clause,[],[f30088])). 1.09/1.31 tff(f30286,plain,( 1.09/1.31 $false | ~spl0_589), 1.09/1.31 inference(resolution,[],[f30089,f18])). 1.09/1.31 tff(f30291,plain,( 1.09/1.31 spl0_589), 1.09/1.31 inference(AVATAR_contradiction_clause,[],[f30286,f30088])). 1.09/1.31 tff(f34029,plain,( 1.09/1.31 ~$less(a,f(a)) | ~$less(b,f(b))), 1.09/1.31 inference(resolution,[],[f2669,f519])). 1.09/1.31 tff(f34057,plain,( 1.09/1.31 spl0_645 <=> ~$less(b,f(b))), 1.09/1.31 introduced(AVATAR_definition,[new_symbols(naming,[spl0_645])])). 1.09/1.31 tff(f34058,plain,( 1.09/1.31 ~$less(b,f(b)) | ~spl0_645), 1.09/1.31 inference(AVATAR_component_clause,[],[f34057])). 1.09/1.31 tff(f34059,plain,( 1.09/1.31 ~spl0_645 | ~spl0_589), 1.09/1.31 inference(AVATAR_split_clause,[],[f34029,f30088,f34057])). 1.09/1.31 tff(f34062,plain,( 1.09/1.31 $false | ~spl0_645), 1.09/1.31 inference(resolution,[],[f34058,f18])). 1.09/1.31 tff(f34067,plain,( 1.09/1.31 spl0_645), 1.09/1.31 inference(AVATAR_contradiction_clause,[],[f34062,f34057])). 1.09/1.31 tff(f34068,plain,( 1.09/1.31 $false), 1.09/1.31 inference(AVATAR_sat_refutation,[],[f30291,f34059,f34067])). 1.09/1.31 % SZS output end Proof for theBenchmark 1.09/1.31 % ------------------------------ 1.09/1.31 % Version: Vampire 4.1 for CASC J8 Entry 1.09/1.31 % Termination reason: Refutation 1.09/1.31 1.09/1.31 % Memory used [KB]: 12665 1.09/1.31 % Time elapsed: 0.552 s 1.09/1.31 % ------------------------------ 1.09/1.31 % ------------------------------ 1.09/1.31 % Success in time 1.057 s 1.09/1.33 EOF