0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : vampire --mode casc -t %d %s 0.12/0.33 % Computer : n020.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % DateTime : Thu Jul 2 07:42:32 EDT 2020 0.12/0.34 % CPUTime : 0.19/0.41 % ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 3.29/3.41 % Time limit reached! 3.29/3.41 % ------------------------------ 3.29/3.41 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 3.29/3.41 % Termination reason: Time limit 3.29/3.41 % Termination phase: Saturation 3.29/3.41 3.29/3.41 % Memory used [KB]: 88655 3.29/3.41 % Time elapsed: 3.0000 s 3.29/3.41 % ------------------------------ 3.29/3.41 % ------------------------------ 3.30/3.45 % 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 6.26/6.45 % Time limit reached! 6.26/6.45 % ------------------------------ 6.26/6.45 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 6.26/6.45 % Termination reason: Time limit 6.26/6.45 % Termination phase: Saturation 6.26/6.45 6.26/6.45 % Memory used [KB]: 77909 6.26/6.45 % Time elapsed: 3.0000 s 6.26/6.45 % ------------------------------ 6.26/6.45 % ------------------------------ 6.37/6.52 % 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 9.94/10.02 % Time limit reached! 9.94/10.02 % ------------------------------ 9.94/10.02 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 9.94/10.02 % Termination reason: Time limit 9.94/10.02 % Termination phase: Saturation 9.94/10.02 9.94/10.02 % Memory used [KB]: 41449 9.94/10.02 % Time elapsed: 3.500 s 9.94/10.02 % ------------------------------ 9.94/10.02 % ------------------------------ 9.96/10.08 % 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 9.96/10.13 % Refutation found. Thanks to Tanya! 9.96/10.13 % SZS status Theorem for theBenchmark 9.96/10.13 % SZS output start Proof for theBenchmark 9.96/10.13 tff(type_def_5, type, list: $tType). 9.96/10.13 tff(func_def_0, type, nil: list). 9.96/10.13 tff(func_def_1, type, cons: ($int * list) > list). 9.96/10.13 tff(func_def_2, type, head: list > $int). 9.96/10.13 tff(func_def_3, type, tail: list > list). 9.96/10.13 tff(func_def_9, type, sK0: ($int * list) > $int). 9.96/10.13 tff(func_def_10, type, sK1: ($int * list) > list). 9.96/10.13 tff(pred_def_1, type, inRange: ($int * list) > $o). 9.96/10.13 tff(f877,plain,( 9.96/10.13 $false), 9.96/10.13 inference(avatar_sat_refutation,[],[f628,f634,f639,f646,f683,f742,f746,f750,f754,f766,f780,f787,f794,f795,f802,f850,f854,f858,f862,f873,f876])). 9.96/10.13 tff(f876,plain,( 9.96/10.13 spl2_21), 9.96/10.13 inference(avatar_contradiction_clause,[],[f875])). 9.96/10.13 tff(f875,plain,( 9.96/10.13 $false | ~spl2_21), 9.96/10.13 inference(evaluation,[],[f866])). 9.96/10.13 tff(f866,plain,( 9.96/10.13 $less(0,0) | $less(1,0) | ~spl2_21), 9.96/10.13 inference(resolution,[],[f762,f159])). 9.96/10.13 tff(f159,plain,( 9.96/10.13 ( ! [X5:$int] : (inRange(0,cons(X5,nil)) | $less(X5,0) | $less(1,X5)) )), 9.96/10.13 inference(evaluation,[],[f158])). 9.96/10.13 tff(f158,plain,( 9.96/10.13 ( ! [X5:$int] : (inRange(0,cons(X5,nil)) | $less(X5,0) | $less($uminus(-1),X5)) )), 9.96/10.13 inference(superposition,[],[f139,f14])). 9.96/10.13 tff(f14,plain,( 9.96/10.13 ( ! [X0:$int] : (0 = $sum(X0,$uminus(X0))) )), 9.96/10.13 introduced(theory_axiom,[])). 9.96/10.13 tff(f139,plain,( 9.96/10.13 ( ! [X0:$int,X1:$int] : (inRange($sum(-1,X0),cons(X1,nil)) | $less(X1,0) | $less(X0,X1)) )), 9.96/10.13 inference(superposition,[],[f74,f10])). 9.96/10.13 tff(f10,plain,( 9.96/10.13 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 9.96/10.13 introduced(theory_axiom,[])). 9.96/10.13 tff(f74,plain,( 9.96/10.13 ( ! [X12:$int,X11:$int] : (inRange($sum(X11,-1),cons(X12,nil)) | $less(X12,0) | $less(X11,X12)) )), 9.96/10.13 inference(resolution,[],[f68,f40])). 9.96/10.13 tff(f40,plain,( 9.96/10.13 ( ! [X0:$int,X1:list] : (~inRange(X0,X1) | inRange($sum(X0,-1),X1)) )), 9.96/10.13 inference(evaluation,[],[f30])). 9.96/10.13 tff(f30,plain,( 9.96/10.13 ( ! [X0:$int,X1:list] : (inRange($sum(X0,$uminus(1)),X1) | ~inRange(X0,X1)) )), 9.96/10.13 inference(cnf_transformation,[],[f24])). 9.96/10.13 tff(f24,plain,( 9.96/10.13 ! [X0 : $int,X1 : list] : (inRange($sum(X0,$uminus(1)),X1) | ~inRange(X0,X1))), 9.96/10.13 inference(ennf_transformation,[],[f22])). 9.96/10.13 tff(f22,plain,( 9.96/10.13 ! [X0 : $int,X1 : list] : (inRange(X0,X1) => inRange($sum(X0,$uminus(1)),X1))), 9.96/10.13 inference(rectify,[],[f8])). 9.96/10.13 tff(f8,plain,( 9.96/10.13 ! [X2 : $int,X1 : list] : (inRange(X2,X1) => inRange($sum(X2,$uminus(1)),X1))), 9.96/10.13 inference(evaluation,[],[f7])). 9.96/10.13 tff(f7,negated_conjecture,( 9.96/10.13 ~~! [X2 : $int,X1 : list] : (inRange(X2,X1) => inRange($difference(X2,1),X1))), 9.96/10.13 inference(negated_conjecture,[],[f6])). 9.96/10.13 tff(f6,conjecture,( 9.96/10.13 ~! [X2 : $int,X1 : list] : (inRange(X2,X1) => inRange($difference(X2,1),X1))), 9.96/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c)). 9.96/10.13 tff(f68,plain,( 9.96/10.13 ( ! [X12:$int,X11:$int] : (inRange(X12,cons(X11,nil)) | $less(X12,X11) | $less(X11,0)) )), 9.96/10.13 inference(evaluation,[],[f64])). 9.96/10.13 tff(f64,plain,( 9.96/10.13 ( ! [X12:$int,X11:$int] : ($less(X11,0) | $less(X12,X11) | inRange($sum($sum(X12,1),-1),cons(X11,nil))) )), 9.96/10.13 inference(resolution,[],[f50,f40])). 9.96/10.13 tff(f50,plain,( 9.96/10.13 ( ! [X10:$int,X9:$int] : (inRange($sum(X9,1),cons(X10,nil)) | $less(X10,0) | $less(X9,X10)) )), 9.96/10.13 inference(resolution,[],[f45,f19])). 9.96/10.13 tff(f19,plain,( 9.96/10.13 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )), 9.96/10.13 introduced(theory_axiom,[])). 9.96/10.13 tff(f45,plain,( 9.96/10.13 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | inRange(X1,cons(X0,nil)) | $less(X0,0)) )), 9.96/10.13 inference(resolution,[],[f39,f38])). 9.96/10.13 tff(f38,plain,( 9.96/10.13 ( ! [X0:$int] : (inRange(X0,nil)) )), 9.96/10.13 inference(equality_resolution,[],[f36])). 9.96/10.13 tff(f36,plain,( 9.96/10.13 ( ! [X0:$int,X1:list] : (inRange(X0,X1) | nil != X1) )), 9.96/10.13 inference(cnf_transformation,[],[f29])). 9.96/10.13 tff(f29,plain,( 9.96/10.13 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | $less(X2,0) | ~inRange(X0,X3) | ~$less(X2,X0)))) & (nil = X1 | (cons(sK0(X0,X1),sK1(X0,X1)) = X1 & ~$less(sK0(X0,X1),0) & inRange(X0,sK1(X0,X1)) & $less(sK0(X0,X1),X0)) | ~inRange(X0,X1)))), 9.96/10.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f27,f28])). 9.96/10.13 tff(f28,plain,( 9.96/10.13 ! [X1 : list,X0 : $int] : (? [X4 : $int,X5 : list] : (cons(X4,X5) = X1 & ~$less(X4,0) & inRange(X0,X5) & $less(X4,X0)) => (cons(sK0(X0,X1),sK1(X0,X1)) = X1 & ~$less(sK0(X0,X1),0) & inRange(X0,sK1(X0,X1)) & $less(sK0(X0,X1),X0)))), 9.96/10.13 introduced(choice_axiom,[])). 9.96/10.13 tff(f27,plain,( 9.96/10.13 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | $less(X2,0) | ~inRange(X0,X3) | ~$less(X2,X0)))) & (nil = X1 | ? [X4 : $int,X5 : list] : (cons(X4,X5) = X1 & ~$less(X4,0) & inRange(X0,X5) & $less(X4,X0)) | ~inRange(X0,X1)))), 9.96/10.13 inference(rectify,[],[f26])). 9.96/10.13 tff(f26,plain,( 9.96/10.13 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | $less(X2,0) | ~inRange(X0,X3) | ~$less(X2,X0)))) & (nil = X1 | ? [X2 : $int,X3 : list] : (cons(X2,X3) = X1 & ~$less(X2,0) & inRange(X0,X3) & $less(X2,X0)) | ~inRange(X0,X1)))), 9.96/10.13 inference(flattening,[],[f25])). 9.96/10.13 tff(f25,plain,( 9.96/10.13 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | $less(X2,0) | ~inRange(X0,X3) | ~$less(X2,X0)))) & ((nil = X1 | ? [X2 : $int,X3 : list] : (cons(X2,X3) = X1 & ~$less(X2,0) & inRange(X0,X3) & $less(X2,X0))) | ~inRange(X0,X1)))), 9.96/10.13 inference(nnf_transformation,[],[f23])). 9.96/10.13 tff(f23,plain,( 9.96/10.13 ! [X0 : $int,X1 : list] : (inRange(X0,X1) <=> (nil = X1 | ? [X2 : $int,X3 : list] : (cons(X2,X3) = X1 & ~$less(X2,0) & inRange(X0,X3) & $less(X2,X0))))), 9.96/10.13 inference(rectify,[],[f9])). 9.96/10.13 tff(f9,plain,( 9.96/10.13 ! [X2 : $int,X1 : list] : (inRange(X2,X1) <=> (nil = X1 | ? [X0 : $int,X3 : list] : (cons(X0,X3) = X1 & ~$less(X0,0) & inRange(X2,X3) & $less(X0,X2))))), 9.96/10.13 inference(evaluation,[],[f5])). 9.96/10.13 tff(f5,axiom,( 9.96/10.13 ! [X2 : $int,X1 : list] : (inRange(X2,X1) <=> (nil = X1 | ? [X0 : $int,X3 : list] : (cons(X0,X3) = X1 & $lesseq(0,X0) & inRange(X2,X3) & $less(X0,X2))))), 9.96/10.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inRange)). 9.96/10.13 tff(f39,plain,( 9.96/10.13 ( ! [X2:$int,X0:$int,X3:list] : (~inRange(X0,X3) | $less(X2,0) | inRange(X0,cons(X2,X3)) | ~$less(X2,X0)) )), 9.96/10.13 inference(equality_resolution,[],[f35])). 9.96/10.13 tff(f35,plain,( 9.96/10.13 ( ! [X2:$int,X0:$int,X3:list,X1:list] : (inRange(X0,X1) | cons(X2,X3) != X1 | $less(X2,0) | ~inRange(X0,X3) | ~$less(X2,X0)) )), 9.96/10.13 inference(cnf_transformation,[],[f29])). 9.96/10.13 tff(f762,plain,( 9.96/10.13 ~inRange(0,cons(0,nil)) | ~spl2_21), 9.96/10.13 inference(avatar_component_clause,[],[f761])). 9.96/10.13 tff(f761,plain,( 9.96/10.13 spl2_21 <=> ~inRange(0,cons(0,nil))), 9.96/10.13 introduced(avatar_definition,[new_symbols(naming,[spl2_21])])). 9.96/10.13 tff(f873,plain,( 9.96/10.13 spl2_21), 9.96/10.13 inference(avatar_contradiction_clause,[],[f872])). 9.96/10.13 tff(f872,plain,( 9.96/10.13 $false | ~spl2_21), 9.96/10.13 inference(evaluation,[],[f871])). 9.96/10.13 tff(f871,plain,( 9.96/10.13 $less(0,0) | ~spl2_21), 9.96/10.13 inference(duplicate_literal_removal,[],[f869])). 9.96/10.13 tff(f869,plain,( 9.96/10.13 $less(0,0) | $less(0,0) | ~spl2_21), 9.96/10.13 inference(resolution,[],[f762,f68])). 9.96/10.13 tff(f862,plain,( 9.96/10.13 spl2_0 | spl2_36), 9.96/10.13 inference(avatar_split_clause,[],[f839,f860,f623])). 9.96/10.13 tff(f623,plain,( 9.96/10.13 spl2_0 <=> nil = cons(0,nil)), 9.96/10.13 introduced(avatar_definition,[new_symbols(naming,[spl2_0])])). 9.96/10.13 tff(f860,plain,( 9.96/10.13 spl2_36 <=> ! [X9 : $int,X10 : $int] : ($less(X9,X10) | $less(sK0($sum(X9,$sum(1,$uminus(X10))),cons(0,nil)),$sum(X9,$sum(1,$uminus(X10)))))), 9.96/10.13 introduced(avatar_definition,[new_symbols(naming,[spl2_36])])). 9.96/10.13 tff(f839,plain,( 9.96/10.13 ( ! [X10:$int,X9:$int] : ($less(X9,X10) | $less(sK0($sum(X9,$sum(1,$uminus(X10))),cons(0,nil)),$sum(X9,$sum(1,$uminus(X10)))) | nil = cons(0,nil)) )), 9.96/10.13 inference(resolution,[],[f291,f31])). 9.96/10.13 tff(f31,plain,( 9.96/10.13 ( ! [X0:$int,X1:list] : (~inRange(X0,X1) | $less(sK0(X0,X1),X0) | nil = X1) )), 9.96/10.13 inference(cnf_transformation,[],[f29])). 9.96/10.13 tff(f291,plain,( 9.96/10.13 ( ! [X8:$int,X9:$int] : (inRange($sum(X9,$sum(1,$uminus(X8))),cons(0,nil)) | $less(X9,X8)) )), 9.96/10.13 inference(evaluation,[],[f290])). 9.96/10.13 tff(f290,plain,( 9.96/10.13 ( ! [X8:$int,X9:$int] : ($less(0,0) | inRange($sum(X9,$sum(1,$uminus(X8))),cons(0,nil)) | $less(X9,X8)) )), 9.96/10.13 inference(forward_demodulation,[],[f279,f14])). 9.96/10.13 tff(f279,plain,( 9.96/10.13 ( ! [X8:$int,X9:$int] : (inRange($sum(X9,$sum(1,$uminus(X8))),cons(0,nil)) | $less($sum(X8,$uminus(X8)),0) | $less(X9,X8)) )), 9.96/10.13 inference(superposition,[],[f112,f14])). 9.96/10.14 tff(f112,plain,( 9.96/10.14 ( ! [X14:$int,X15:$int,X13:$int] : (inRange($sum(X15,$sum(1,X14)),cons($sum(X13,X14),nil)) | $less($sum(X13,X14),0) | $less(X15,X13)) )), 9.96/10.14 inference(forward_demodulation,[],[f110,f11])). 9.96/10.14 tff(f11,plain,( 9.96/10.14 ( ! [X2:$int,X0:$int,X1:$int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 9.96/10.14 introduced(theory_axiom,[])). 9.96/10.14 tff(f110,plain,( 9.96/10.14 ( ! [X14:$int,X15:$int,X13:$int] : ($less($sum(X13,X14),0) | inRange($sum($sum(X15,1),X14),cons($sum(X13,X14),nil)) | $less(X15,X13)) )), 9.96/10.14 inference(resolution,[],[f51,f19])). 9.96/10.14 tff(f51,plain,( 9.96/10.14 ( ! [X12:$int,X13:$int,X11:$int] : (~$less(X13,X11) | $less($sum(X13,X12),0) | inRange($sum(X11,X12),cons($sum(X13,X12),nil))) )), 9.96/10.14 inference(resolution,[],[f45,f18])). 9.96/10.14 tff(f18,plain,( 9.96/10.14 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )), 9.96/10.14 introduced(theory_axiom,[])). 9.96/10.14 tff(f858,plain,( 9.96/10.14 spl2_0 | spl2_34), 9.96/10.14 inference(avatar_split_clause,[],[f838,f856,f623])). 9.96/10.14 tff(f856,plain,( 9.96/10.14 spl2_34 <=> ! [X7 : $int,X8 : $int] : ($less(X7,X8) | inRange($sum(X7,$sum(1,$uminus(X8))),sK1($sum(X7,$sum(1,$uminus(X8))),cons(0,nil))))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_34])])). 9.96/10.14 tff(f838,plain,( 9.96/10.14 ( ! [X8:$int,X7:$int] : ($less(X7,X8) | inRange($sum(X7,$sum(1,$uminus(X8))),sK1($sum(X7,$sum(1,$uminus(X8))),cons(0,nil))) | nil = cons(0,nil)) )), 9.96/10.14 inference(resolution,[],[f291,f32])). 9.96/10.14 tff(f32,plain,( 9.96/10.14 ( ! [X0:$int,X1:list] : (~inRange(X0,X1) | inRange(X0,sK1(X0,X1)) | nil = X1) )), 9.96/10.14 inference(cnf_transformation,[],[f29])). 9.96/10.14 tff(f854,plain,( 9.96/10.14 spl2_0 | spl2_32), 9.96/10.14 inference(avatar_split_clause,[],[f837,f852,f623])). 9.96/10.14 tff(f852,plain,( 9.96/10.14 spl2_32 <=> ! [X5 : $int,X6 : $int] : ($less(X5,X6) | ~$less(sK0($sum(X5,$sum(1,$uminus(X6))),cons(0,nil)),0))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_32])])). 9.96/10.14 tff(f837,plain,( 9.96/10.14 ( ! [X6:$int,X5:$int] : ($less(X5,X6) | ~$less(sK0($sum(X5,$sum(1,$uminus(X6))),cons(0,nil)),0) | nil = cons(0,nil)) )), 9.96/10.14 inference(resolution,[],[f291,f33])). 9.96/10.14 tff(f33,plain,( 9.96/10.14 ( ! [X0:$int,X1:list] : (~inRange(X0,X1) | ~$less(sK0(X0,X1),0) | nil = X1) )), 9.96/10.14 inference(cnf_transformation,[],[f29])). 9.96/10.14 tff(f850,plain,( 9.96/10.14 spl2_0 | spl2_30), 9.96/10.14 inference(avatar_split_clause,[],[f835,f848,f623])). 9.96/10.14 tff(f848,plain,( 9.96/10.14 spl2_30 <=> ! [X1 : $int,X0 : $int] : ($less(X0,X1) | cons(0,nil) = cons(sK0($sum(X0,$sum(1,$uminus(X1))),cons(0,nil)),sK1($sum(X0,$sum(1,$uminus(X1))),cons(0,nil))))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_30])])). 9.96/10.14 tff(f835,plain,( 9.96/10.14 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | cons(0,nil) = cons(sK0($sum(X0,$sum(1,$uminus(X1))),cons(0,nil)),sK1($sum(X0,$sum(1,$uminus(X1))),cons(0,nil))) | nil = cons(0,nil)) )), 9.96/10.14 inference(resolution,[],[f291,f34])). 9.96/10.14 tff(f34,plain,( 9.96/10.14 ( ! [X0:$int,X1:list] : (~inRange(X0,X1) | cons(sK0(X0,X1),sK1(X0,X1)) = X1 | nil = X1) )), 9.96/10.14 inference(cnf_transformation,[],[f29])). 9.96/10.14 tff(f802,plain,( 9.96/10.14 spl2_28 | ~spl2_20), 9.96/10.14 inference(avatar_split_clause,[],[f773,f764,f800])). 9.96/10.14 tff(f800,plain,( 9.96/10.14 spl2_28 <=> inRange(-1,cons(0,nil))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_28])])). 9.96/10.14 tff(f764,plain,( 9.96/10.14 spl2_20 <=> inRange(0,cons(0,nil))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_20])])). 9.96/10.14 tff(f773,plain,( 9.96/10.14 inRange(-1,cons(0,nil)) | ~spl2_20), 9.96/10.14 inference(evaluation,[],[f772])). 9.96/10.14 tff(f772,plain,( 9.96/10.14 inRange($sum(0,-1),cons(0,nil)) | ~spl2_20), 9.96/10.14 inference(resolution,[],[f765,f40])). 9.96/10.14 tff(f765,plain,( 9.96/10.14 inRange(0,cons(0,nil)) | ~spl2_20), 9.96/10.14 inference(avatar_component_clause,[],[f764])). 9.96/10.14 tff(f795,plain,( 9.96/10.14 spl2_0 | spl2_24 | ~spl2_20), 9.96/10.14 inference(avatar_split_clause,[],[f771,f764,f782,f623])). 9.96/10.14 tff(f782,plain,( 9.96/10.14 spl2_24 <=> $less(sK0(0,cons(0,nil)),0)), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_24])])). 9.96/10.14 tff(f771,plain,( 9.96/10.14 $less(sK0(0,cons(0,nil)),0) | nil = cons(0,nil) | ~spl2_20), 9.96/10.14 inference(resolution,[],[f765,f31])). 9.96/10.14 tff(f794,plain,( 9.96/10.14 spl2_0 | spl2_26 | ~spl2_20), 9.96/10.14 inference(avatar_split_clause,[],[f770,f764,f792,f623])). 9.96/10.14 tff(f792,plain,( 9.96/10.14 spl2_26 <=> inRange(0,sK1(0,cons(0,nil)))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_26])])). 9.96/10.14 tff(f770,plain,( 9.96/10.14 inRange(0,sK1(0,cons(0,nil))) | nil = cons(0,nil) | ~spl2_20), 9.96/10.14 inference(resolution,[],[f765,f32])). 9.96/10.14 tff(f787,plain,( 9.96/10.14 spl2_0 | ~spl2_25 | ~spl2_20), 9.96/10.14 inference(avatar_split_clause,[],[f769,f764,f785,f623])). 9.96/10.14 tff(f785,plain,( 9.96/10.14 spl2_25 <=> ~$less(sK0(0,cons(0,nil)),0)), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_25])])). 9.96/10.14 tff(f769,plain,( 9.96/10.14 ~$less(sK0(0,cons(0,nil)),0) | nil = cons(0,nil) | ~spl2_20), 9.96/10.14 inference(resolution,[],[f765,f33])). 9.96/10.14 tff(f780,plain,( 9.96/10.14 spl2_0 | spl2_22 | ~spl2_20), 9.96/10.14 inference(avatar_split_clause,[],[f767,f764,f778,f623])). 9.96/10.14 tff(f778,plain,( 9.96/10.14 spl2_22 <=> cons(0,nil) = cons(sK0(0,cons(0,nil)),sK1(0,cons(0,nil)))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_22])])). 9.96/10.14 tff(f767,plain,( 9.96/10.14 cons(0,nil) = cons(sK0(0,cons(0,nil)),sK1(0,cons(0,nil))) | nil = cons(0,nil) | ~spl2_20), 9.96/10.14 inference(resolution,[],[f765,f34])). 9.96/10.14 tff(f766,plain,( 9.96/10.14 spl2_18 | spl2_20), 9.96/10.14 inference(avatar_split_clause,[],[f734,f764,f758])). 9.96/10.14 tff(f758,plain,( 9.96/10.14 spl2_18 <=> ! [X0 : $int] : $less(X0,$sum(X0,1))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_18])])). 9.96/10.14 tff(f734,plain,( 9.96/10.14 ( ! [X0:$int] : (inRange(0,cons(0,nil)) | $less(X0,$sum(X0,1))) )), 9.96/10.14 inference(superposition,[],[f251,f14])). 9.96/10.14 tff(f251,plain,( 9.96/10.14 ( ! [X8:$int,X9:$int] : (inRange($sum(X9,$uminus(X8)),cons(0,nil)) | $less(X9,$sum(X8,1))) )), 9.96/10.14 inference(evaluation,[],[f250])). 9.96/10.14 tff(f250,plain,( 9.96/10.14 ( ! [X8:$int,X9:$int] : ($less(0,0) | inRange($sum(X9,$uminus(X8)),cons(0,nil)) | $less(X9,$sum(X8,1))) )), 9.96/10.14 inference(forward_demodulation,[],[f242,f14])). 9.96/10.14 tff(f242,plain,( 9.96/10.14 ( ! [X8:$int,X9:$int] : (inRange($sum(X9,$uminus(X8)),cons(0,nil)) | $less($sum(X8,$uminus(X8)),0) | $less(X9,$sum(X8,1))) )), 9.96/10.14 inference(superposition,[],[f109,f14])). 9.96/10.14 tff(f109,plain,( 9.96/10.14 ( ! [X12:$int,X10:$int,X11:$int] : (inRange($sum(X12,X11),cons($sum(X10,X11),nil)) | $less($sum(X10,X11),0) | $less(X12,$sum(X10,1))) )), 9.96/10.14 inference(resolution,[],[f51,f19])). 9.96/10.14 tff(f754,plain,( 9.96/10.14 spl2_0 | spl2_16), 9.96/10.14 inference(avatar_split_clause,[],[f731,f752,f623])). 9.96/10.14 tff(f752,plain,( 9.96/10.14 spl2_16 <=> ! [X9 : $int,X10 : $int] : ($less(X9,$sum(X10,1)) | $less(sK0($sum(X9,$uminus(X10)),cons(0,nil)),$sum(X9,$uminus(X10))))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_16])])). 9.96/10.14 tff(f731,plain,( 9.96/10.14 ( ! [X10:$int,X9:$int] : ($less(X9,$sum(X10,1)) | $less(sK0($sum(X9,$uminus(X10)),cons(0,nil)),$sum(X9,$uminus(X10))) | nil = cons(0,nil)) )), 9.96/10.14 inference(resolution,[],[f251,f31])). 9.96/10.14 tff(f750,plain,( 9.96/10.14 spl2_0 | spl2_14), 9.96/10.14 inference(avatar_split_clause,[],[f730,f748,f623])). 9.96/10.14 tff(f748,plain,( 9.96/10.14 spl2_14 <=> ! [X7 : $int,X8 : $int] : ($less(X7,$sum(X8,1)) | inRange($sum(X7,$uminus(X8)),sK1($sum(X7,$uminus(X8)),cons(0,nil))))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_14])])). 9.96/10.14 tff(f730,plain,( 9.96/10.14 ( ! [X8:$int,X7:$int] : ($less(X7,$sum(X8,1)) | inRange($sum(X7,$uminus(X8)),sK1($sum(X7,$uminus(X8)),cons(0,nil))) | nil = cons(0,nil)) )), 9.96/10.14 inference(resolution,[],[f251,f32])). 9.96/10.14 tff(f746,plain,( 9.96/10.14 spl2_0 | spl2_12), 9.96/10.14 inference(avatar_split_clause,[],[f729,f744,f623])). 9.96/10.14 tff(f744,plain,( 9.96/10.14 spl2_12 <=> ! [X5 : $int,X6 : $int] : ($less(X5,$sum(X6,1)) | ~$less(sK0($sum(X5,$uminus(X6)),cons(0,nil)),0))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_12])])). 9.96/10.14 tff(f729,plain,( 9.96/10.14 ( ! [X6:$int,X5:$int] : ($less(X5,$sum(X6,1)) | ~$less(sK0($sum(X5,$uminus(X6)),cons(0,nil)),0) | nil = cons(0,nil)) )), 9.96/10.14 inference(resolution,[],[f251,f33])). 9.96/10.14 tff(f742,plain,( 9.96/10.14 spl2_0 | spl2_10), 9.96/10.14 inference(avatar_split_clause,[],[f727,f740,f623])). 9.96/10.14 tff(f740,plain,( 9.96/10.14 spl2_10 <=> ! [X1 : $int,X0 : $int] : ($less(X0,$sum(X1,1)) | cons(0,nil) = cons(sK0($sum(X0,$uminus(X1)),cons(0,nil)),sK1($sum(X0,$uminus(X1)),cons(0,nil))))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_10])])). 9.96/10.14 tff(f727,plain,( 9.96/10.14 ( ! [X0:$int,X1:$int] : ($less(X0,$sum(X1,1)) | cons(0,nil) = cons(sK0($sum(X0,$uminus(X1)),cons(0,nil)),sK1($sum(X0,$uminus(X1)),cons(0,nil))) | nil = cons(0,nil)) )), 9.96/10.14 inference(resolution,[],[f251,f34])). 9.96/10.14 tff(f683,plain,( 9.96/10.14 ~spl2_0), 9.96/10.14 inference(avatar_contradiction_clause,[],[f682])). 9.96/10.14 tff(f682,plain,( 9.96/10.14 $false | ~spl2_0), 9.96/10.14 inference(trivial_inequality_removal,[],[f681])). 9.96/10.14 tff(f681,plain,( 9.96/10.14 nil != nil | ~spl2_0), 9.96/10.14 inference(superposition,[],[f37,f624])). 9.96/10.14 tff(f624,plain,( 9.96/10.14 nil = cons(0,nil) | ~spl2_0), 9.96/10.14 inference(avatar_component_clause,[],[f623])). 9.96/10.14 tff(f37,plain,( 9.96/10.14 ( ! [X0:$int,X1:list] : (nil != cons(X0,X1)) )), 9.96/10.14 inference(cnf_transformation,[],[f4])). 9.96/10.14 tff(f4,axiom,( 9.96/10.14 ! [X0 : $int,X1 : list] : nil != cons(X0,X1)), 9.96/10.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4)). 9.96/10.14 tff(f646,plain,( 9.96/10.14 spl2_0 | spl2_8), 9.96/10.14 inference(avatar_split_clause,[],[f611,f644,f623])). 9.96/10.14 tff(f644,plain,( 9.96/10.14 spl2_8 <=> cons(0,nil) = cons(sK0(1,cons(0,nil)),sK1(1,cons(0,nil)))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_8])])). 9.96/10.14 tff(f611,plain,( 9.96/10.14 cons(0,nil) = cons(sK0(1,cons(0,nil)),sK1(1,cons(0,nil))) | nil = cons(0,nil)), 9.96/10.14 inference(evaluation,[],[f610])). 9.96/10.14 tff(f610,plain,( 9.96/10.14 $less(0,0) | cons(0,nil) = cons(sK0($sum(0,1),cons(0,nil)),sK1($sum(0,1),cons(0,nil))) | nil = cons(0,nil)), 9.96/10.14 inference(factoring,[],[f59])). 9.96/10.14 tff(f59,plain,( 9.96/10.14 ( ! [X0:$int,X1:$int] : ($less(X0,0) | $less(X1,X0) | cons(X0,nil) = cons(sK0($sum(X1,1),cons(X0,nil)),sK1($sum(X1,1),cons(X0,nil))) | nil = cons(X0,nil)) )), 9.96/10.14 inference(resolution,[],[f50,f34])). 9.96/10.14 tff(f639,plain,( 9.96/10.14 spl2_0 | spl2_6), 9.96/10.14 inference(avatar_split_clause,[],[f635,f637,f623])). 9.96/10.14 tff(f637,plain,( 9.96/10.14 spl2_6 <=> ! [X51 : $int,X52 : $int] : (cons(0,nil) = cons(sK0($sum(1,sK0($sum(X51,1),cons(X52,nil))),cons(0,nil)),sK1($sum(1,sK0($sum(X51,1),cons(X52,nil))),cons(0,nil))) | nil = cons(X52,nil) | $less(X52,0) | $less(X51,X52))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])). 9.96/10.14 tff(f635,plain,( 9.96/10.14 ( ! [X52:$int,X51:$int] : (cons(0,nil) = cons(sK0($sum(1,sK0($sum(X51,1),cons(X52,nil))),cons(0,nil)),sK1($sum(1,sK0($sum(X51,1),cons(X52,nil))),cons(0,nil))) | nil = cons(0,nil) | $less(X51,X52) | $less(X52,0) | nil = cons(X52,nil)) )), 9.96/10.14 inference(forward_demodulation,[],[f612,f10])). 9.96/10.14 tff(f612,plain,( 9.96/10.14 ( ! [X52:$int,X51:$int] : (cons(0,nil) = cons(sK0($sum(sK0($sum(X51,1),cons(X52,nil)),1),cons(0,nil)),sK1($sum(sK0($sum(X51,1),cons(X52,nil)),1),cons(0,nil))) | nil = cons(0,nil) | $less(X51,X52) | $less(X52,0) | nil = cons(X52,nil)) )), 9.96/10.14 inference(evaluation,[],[f609])). 9.96/10.14 tff(f609,plain,( 9.96/10.14 ( ! [X52:$int,X51:$int] : ($less(0,0) | cons(0,nil) = cons(sK0($sum(sK0($sum(X51,1),cons(X52,nil)),1),cons(0,nil)),sK1($sum(sK0($sum(X51,1),cons(X52,nil)),1),cons(0,nil))) | nil = cons(0,nil) | $less(X51,X52) | $less(X52,0) | nil = cons(X52,nil)) )), 9.96/10.14 inference(resolution,[],[f59,f61])). 9.96/10.14 tff(f61,plain,( 9.96/10.14 ( ! [X6:$int,X5:$int] : (~$less(sK0($sum(X6,1),cons(X5,nil)),0) | $less(X6,X5) | $less(X5,0) | nil = cons(X5,nil)) )), 9.96/10.14 inference(resolution,[],[f50,f33])). 9.96/10.14 tff(f634,plain,( 9.96/10.14 spl2_0 | spl2_4), 9.96/10.14 inference(avatar_split_clause,[],[f630,f632,f623])). 9.96/10.14 tff(f632,plain,( 9.96/10.14 spl2_4 <=> ! [X49 : $int,X50 : $int] : (cons(0,nil) = cons(sK0($sum(1,sK0(X49,cons(X50,nil))),cons(0,nil)),sK1($sum(1,sK0(X49,cons(X50,nil))),cons(0,nil))) | nil = cons(X50,nil) | $less(X50,0) | $less(X49,$sum(X50,1)))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])). 9.96/10.14 tff(f630,plain,( 9.96/10.14 ( ! [X50:$int,X49:$int] : (cons(0,nil) = cons(sK0($sum(1,sK0(X49,cons(X50,nil))),cons(0,nil)),sK1($sum(1,sK0(X49,cons(X50,nil))),cons(0,nil))) | nil = cons(0,nil) | $less(X49,$sum(X50,1)) | $less(X50,0) | nil = cons(X50,nil)) )), 9.96/10.14 inference(forward_demodulation,[],[f613,f10])). 9.96/10.14 tff(f613,plain,( 9.96/10.14 ( ! [X50:$int,X49:$int] : (cons(0,nil) = cons(sK0($sum(sK0(X49,cons(X50,nil)),1),cons(0,nil)),sK1($sum(sK0(X49,cons(X50,nil)),1),cons(0,nil))) | nil = cons(0,nil) | $less(X49,$sum(X50,1)) | $less(X50,0) | nil = cons(X50,nil)) )), 9.96/10.14 inference(evaluation,[],[f608])). 9.96/10.14 tff(f608,plain,( 9.96/10.14 ( ! [X50:$int,X49:$int] : ($less(0,0) | cons(0,nil) = cons(sK0($sum(sK0(X49,cons(X50,nil)),1),cons(0,nil)),sK1($sum(sK0(X49,cons(X50,nil)),1),cons(0,nil))) | nil = cons(0,nil) | $less(X49,$sum(X50,1)) | $less(X50,0) | nil = cons(X50,nil)) )), 9.96/10.14 inference(resolution,[],[f59,f55])). 9.96/10.14 tff(f55,plain,( 9.96/10.14 ( ! [X6:$int,X5:$int] : (~$less(sK0(X6,cons(X5,nil)),0) | $less(X6,$sum(X5,1)) | $less(X5,0) | nil = cons(X5,nil)) )), 9.96/10.14 inference(resolution,[],[f49,f33])). 9.96/10.14 tff(f49,plain,( 9.96/10.14 ( ! [X8:$int,X7:$int] : (inRange(X7,cons(X8,nil)) | $less(X8,0) | $less(X7,$sum(X8,1))) )), 9.96/10.14 inference(resolution,[],[f45,f19])). 9.96/10.14 tff(f628,plain,( 9.96/10.14 spl2_0 | spl2_2), 9.96/10.14 inference(avatar_split_clause,[],[f586,f626,f623])). 9.96/10.14 tff(f626,plain,( 9.96/10.14 spl2_2 <=> ! [X36 : $int] : ($less(X36,0) | cons(0,nil) = cons(sK0($sum(X36,1),cons(0,nil)),sK1($sum(X36,1),cons(0,nil))))), 9.96/10.14 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])). 9.96/10.14 tff(f586,plain,( 9.96/10.14 ( ! [X36:$int] : ($less(X36,0) | cons(0,nil) = cons(sK0($sum(X36,1),cons(0,nil)),sK1($sum(X36,1),cons(0,nil))) | nil = cons(0,nil)) )), 9.96/10.14 inference(resolution,[],[f59,f15])). 9.96/10.14 tff(f15,plain,( 9.96/10.14 ( ! [X0:$int] : (~$less(X0,X0)) )), 9.96/10.14 introduced(theory_axiom,[])). 9.96/10.14 % SZS output end Proof for theBenchmark 9.96/10.14 % ------------------------------ 9.96/10.14 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 9.96/10.14 % Termination reason: Refutation 9.96/10.14 9.96/10.14 % Memory used [KB]: 6012 9.96/10.14 % Time elapsed: 0.062 s 9.96/10.14 % ------------------------------ 9.96/10.14 % ------------------------------ 9.96/10.14 % Success in time 9.792 s 9.96/10.14 EOF