0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : run_vampire %s %d 0.12/0.34 % Computer : n025.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Thu Jul 2 06:45:48 EDT 2020 0.12/0.34 % CPUTime : 0.20/0.50 % (10521)ott+10_4_awrs=converge:awrsf=128:afp=100000:afq=1.4:amm=sco:anc=none:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:s2a=on:sac=on:sp=frequency:tha=off_3 on theBenchmark 0.20/0.51 % (10496)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 0.20/0.51 % (10503)dis+1_3_add=large:afp=4000:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:thi=all:uwa=all:updr=off:uhcvi=on_12 on theBenchmark 0.20/0.51 % (10496)Refutation found. Thanks to Tanya! 0.20/0.51 % SZS status Theorem for theBenchmark 0.20/0.51 % (10514)ott+10_8_add=large:afp=100000:afq=1.4:amm=sco:cond=fast:fsr=off:fde=none:lcm=predicate:lma=on:nm=32:nwc=1:sos=on:sac=on:tha=off:updr=off_29 on theBenchmark 0.20/0.52 % (10504)lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=input_only:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark 0.20/0.52 % (10513)WARNING: option uwaf not known. 0.20/0.52 % (10497)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 0.20/0.52 % (10513)lrs-2_24_awrs=converge:awrsf=64:av=off:bd=off:bs=on:bsr=on:br=off:cond=on:fde=none:gsp=input_only:inw=on:lwlo=on:nm=6:nwc=4:stl=30:s2a=on:sos=all:sp=weighted_frequency:thf=on:uwa=one_side_interpreted:urr=on:updr=off:uhcvi=on:uwaf=on_21 on theBenchmark 0.20/0.52 % (10499)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.20/0.52 % (10500)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.20/0.53 % (10498)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 0.20/0.53 % SZS output start Proof for theBenchmark 0.20/0.53 tff(type_def_5, type, list: $tType). 0.20/0.53 tff(func_def_0, type, nil: list). 0.20/0.53 tff(func_def_1, type, cons: ($int * list) > list). 0.20/0.53 tff(func_def_2, type, head: list > $int). 0.20/0.53 tff(func_def_3, type, tail: list > list). 0.20/0.53 tff(func_def_4, type, length: list > $int). 0.20/0.53 tff(func_def_5, type, count: ($int * list) > $int). 0.20/0.53 tff(func_def_6, type, append: (list * list) > list). 0.20/0.53 tff(func_def_11, type, sK3: (list * $int) > $int). 0.20/0.53 tff(func_def_12, type, sK4: (list * $int) > list). 0.20/0.53 tff(func_def_13, type, sK5: ($int * list) > $int). 0.20/0.53 tff(func_def_14, type, sK6: ($int * list) > list). 0.20/0.53 tff(func_def_15, type, sK7: (list * $int) > $int). 0.20/0.53 tff(func_def_16, type, sK8: (list * $int) > list). 0.20/0.53 tff(pred_def_1, type, in: ($int * list) > $o). 0.20/0.53 tff(pred_def_2, type, inRange: ($int * list) > $o). 0.20/0.53 tff(pred_def_7, type, sP0: (list * $int) > $o). 0.20/0.53 tff(pred_def_8, type, sP1: (list * $int) > $o). 0.20/0.53 tff(pred_def_9, type, sP2: ($int * list) > $o). 0.20/0.53 tff(f456,plain,( 0.20/0.53 $false), 0.20/0.53 inference(global_subsumption,[],[f455,f377])). 0.20/0.53 tff(f377,plain,( 0.20/0.53 ( ! [X0:$int,X1:$int] : ($less(X0,X1)) )), 0.20/0.53 inference(superposition,[],[f121,f315])). 0.20/0.53 tff(f315,plain,( 0.20/0.53 ( ! [X2:$int,X1:$int] : (X1 = X2) )), 0.20/0.53 inference(evaluation,[],[f314])). 0.20/0.53 tff(f314,plain,( 0.20/0.53 ( ! [X2:$int,X1:$int] : (~$less(0,1) | X1 = X2) )), 0.20/0.53 inference(forward_demodulation,[],[f312,f72])). 0.20/0.53 tff(f72,plain,( 0.20/0.53 ( ! [X0:$int] : (0 = count(X0,nil)) )), 0.20/0.53 inference(cnf_transformation,[],[f33])). 0.20/0.53 tff(f33,plain,( 0.20/0.53 ! [X0 : $int] : 0 = count(X0,nil)), 0.20/0.53 inference(rectify,[],[f5])). 0.20/0.53 tff(f5,axiom,( 0.20/0.53 ! [X5 : $int] : 0 = count(X5,nil)), 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a)). 0.20/0.53 tff(f312,plain,( 0.20/0.53 ( ! [X2:$int,X1:$int] : (~$less(count(X1,nil),1) | X1 = X2) )), 0.20/0.53 inference(superposition,[],[f305,f99])). 0.20/0.53 tff(f99,plain,( 0.20/0.53 ( ! [X2:list,X0:$int,X1:$int] : (count(X0,X2) = count(X0,cons(X1,X2)) | X0 = X1) )), 0.20/0.53 inference(cnf_transformation,[],[f46])). 0.20/0.53 tff(f46,plain,( 0.20/0.53 ! [X0 : $int,X1 : $int,X2 : list] : (count(X0,X2) = count(X0,cons(X1,X2)) | X0 = X1)), 0.20/0.53 inference(ennf_transformation,[],[f44])). 0.20/0.53 tff(f44,plain,( 0.20/0.53 ! [X0 : $int,X1 : $int,X2 : list] : (X0 != X1 => count(X0,X2) = count(X0,cons(X1,X2)))), 0.20/0.53 inference(rectify,[],[f14])). 0.20/0.53 tff(f14,axiom,( 0.20/0.53 ! [X5 : $int,X2 : $int,X3 : list,X6 : $int] : (X2 != X5 => count(X5,X3) = count(X5,cons(X2,X3)))), 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_3)). 0.20/0.53 tff(f305,plain,( 0.20/0.53 ( ! [X0:$int,X1:$int] : (~$less(count(X0,cons(X1,nil)),1)) )), 0.20/0.53 inference(evaluation,[],[f299])). 0.20/0.53 tff(f299,plain,( 0.20/0.53 ( ! [X0:$int,X1:$int] : (~$less(count(X0,cons(X1,nil)),$sum(1,0))) )), 0.20/0.53 inference(superposition,[],[f175,f71])). 0.20/0.53 tff(f71,plain,( 0.20/0.53 0 = length(nil)), 0.20/0.53 inference(cnf_transformation,[],[f12])). 0.20/0.53 tff(f12,axiom,( 0.20/0.53 0 = length(nil)), 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l)). 0.20/0.53 tff(f175,plain,( 0.20/0.53 ( ! [X2:$int,X0:$int,X1:list] : (~$less(count(X2,cons(X0,X1)),$sum(1,length(X1)))) )), 0.20/0.53 inference(superposition,[],[f70,f78])). 0.20/0.53 tff(f78,plain,( 0.20/0.53 ( ! [X0:$int,X1:list] : (length(cons(X0,X1)) = $sum(1,length(X1))) )), 0.20/0.53 inference(cnf_transformation,[],[f39])). 0.20/0.53 tff(f39,plain,( 0.20/0.53 ! [X0 : $int,X1 : list] : length(cons(X0,X1)) = $sum(1,length(X1))), 0.20/0.53 inference(rectify,[],[f13])). 0.20/0.53 tff(f13,axiom,( 0.20/0.53 ! [X2 : $int,X3 : list] : length(cons(X2,X3)) = $sum(1,length(X3))), 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_1)). 0.20/0.53 tff(f70,plain,( 0.20/0.53 ( ! [X0:$int,X1:list] : (~$less(count(X0,X1),length(X1))) )), 0.20/0.53 inference(cnf_transformation,[],[f32])). 0.20/0.53 tff(f32,plain,( 0.20/0.53 ! [X0 : $int,X1 : list] : ~$less(count(X0,X1),length(X1))), 0.20/0.53 inference(rectify,[],[f17])). 0.20/0.53 tff(f17,plain,( 0.20/0.53 ! [X6 : $int,X1 : list] : ~$less(count(X6,X1),length(X1))), 0.20/0.53 inference(theory_normalization,[],[f8])). 0.20/0.53 tff(f8,negated_conjecture,( 0.20/0.53 ~~! [X6 : $int,X1 : list] : $greatereq(count(X6,X1),length(X1))), 0.20/0.53 inference(negated_conjecture,[],[f7])). 0.20/0.53 tff(f7,conjecture,( 0.20/0.53 ~! [X6 : $int,X1 : list] : $greatereq(count(X6,X1),length(X1))), 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c)). 0.20/0.53 tff(f121,plain,( 0.20/0.53 ( ! [X0:$int] : ($less(X0,$sum(X0,1))) )), 0.20/0.53 inference(resolution,[],[f29,f25])). 0.20/0.53 tff(f25,plain,( 0.20/0.53 ( ! [X0:$int] : (~$less(X0,X0)) )), 0.20/0.53 introduced(theory_axiom,[])). 0.20/0.53 tff(f29,plain,( 0.20/0.53 ( ! [X0:$int,X1:$int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )), 0.20/0.53 introduced(theory_axiom,[])). 0.20/0.53 tff(f455,plain,( 0.20/0.53 ( ! [X0:$int,X1:$int] : (~$less(X1,X0)) )), 0.20/0.53 inference(global_subsumption,[],[f136,f359,f366])). 0.20/0.53 tff(f366,plain,( 0.20/0.53 ( ! [X0:$int,X1:$int] : (~$less(X1,X0) | ~$less(0,X1)) )), 0.20/0.53 inference(superposition,[],[f135,f315])). 0.20/0.53 tff(f135,plain,( 0.20/0.53 ( ! [X2:$int] : (~$less(X2,1) | ~$less(0,X2)) )), 0.20/0.53 inference(superposition,[],[f31,f117])). 0.20/0.53 tff(f117,plain,( 0.20/0.53 ( ! [X0:$int] : ($sum(0,X0) = X0) )), 0.20/0.53 inference(superposition,[],[f20,f22])). 0.20/0.53 tff(f22,plain,( 0.20/0.53 ( ! [X0:$int] : ($sum(X0,0) = X0) )), 0.20/0.53 introduced(theory_axiom,[])). 0.20/0.53 tff(f20,plain,( 0.20/0.53 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 0.20/0.53 introduced(theory_axiom,[])). 0.20/0.53 tff(f31,plain,( 0.20/0.53 ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )), 0.20/0.53 introduced(theory_axiom,[])). 0.20/0.53 tff(f359,plain,( 0.20/0.53 ( ! [X2:$int] : (~$less(X2,1)) )), 0.20/0.53 inference(superposition,[],[f305,f315])). 0.20/0.53 tff(f136,plain,( 0.20/0.53 ( ! [X3:$int] : ($less(X3,1) | $less(0,X3)) )), 0.20/0.53 inference(superposition,[],[f29,f117])). 0.20/0.53 % SZS output end Proof for theBenchmark 0.20/0.53 % (10496)------------------------------ 0.20/0.53 % (10496)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.53 % (10496)Termination reason: Refutation 0.20/0.53 0.20/0.53 % (10496)Memory used [KB]: 6396 0.20/0.53 % (10496)Time elapsed: 0.102 s 0.20/0.53 % (10496)------------------------------ 0.20/0.53 % (10496)------------------------------ 0.20/0.53 % (10516)dis+1_3:1_acc=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:gs=on:inw=on:lma=on:nm=32:nwc=1:urr=on_2 on theBenchmark 0.20/0.53 % (10494)Success in time 0.167 s 0.20/0.53 EOF