0.11/0.15	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.16	% Command    : run_vampire %s %d
0.13/0.39	% Computer   : n027.cluster.edu
0.13/0.39	% Model      : x86_64 x86_64
0.13/0.39	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.39	% Memory     : 8042.1875MB
0.13/0.39	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.39	% CPULimit   : 1200
0.13/0.39	% WCLimit    : 120
0.13/0.39	% DateTime   : Tue Jul 13 10:11:40 EDT 2021
0.13/0.39	% CPUTime    : 
0.13/0.39	This is a THF_ problem
0.13/0.39	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.40	Running in auto input_syntax mode. Trying TPTP
0.19/0.44	% (16188)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence:thsq=on_300 on theBenchmark
0.19/0.44	% (16188)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.45	% (16175)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on:thsq=on_2 on theBenchmark
0.19/0.45	% (16179)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on:thsq=on_32 on theBenchmark
0.19/0.45	% (16177)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off:thsq=on_14 on theBenchmark
0.19/0.45	% (16180)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only:thsq=on_29 on theBenchmark
0.19/0.45	% (16188)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.19/0.45	% (16179)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.45	% (16180)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.19/0.45	% (16188)First to succeed.
0.19/0.45	% (16181)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1:thsq=on_3 on theBenchmark
0.19/0.45	% (16181)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.45	% (16181)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.19/0.45	% (16176)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on:thsq=on_13 on theBenchmark
0.19/0.45	% (16176)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.19/0.45	% (16172)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off:thsq=on_2 on theBenchmark
0.19/0.46	% (16188)Refutation found. Thanks to Tanya!
0.19/0.46	% SZS status Theorem for theBenchmark
0.19/0.46	% SZS output start Proof for theBenchmark
0.19/0.46	thf(type_def_6, type, nat: $tType).
0.19/0.46	thf(func_def_7, type, x: nat).
0.19/0.46	thf(func_def_8, type, y: nat).
0.19/0.46	thf(func_def_9, type, z: nat).
0.19/0.46	thf(type_def_10, type, >: ($tType * $tType) > $tType).
0.19/0.46	thf(func_def_11, type, moreis: nat > nat > $o).
0.19/0.46	thf(func_def_12, type, some: (nat > $o) > $o).
0.19/0.46	thf(func_def_13, type, diffprop: nat > nat > nat > $o).
0.19/0.46	thf(func_def_14, type, lessis: nat > nat > $o).
0.19/0.46	thf(func_def_16, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
0.19/0.46	thf(func_def_20, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
0.19/0.46	thf(func_def_21, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
0.19/0.46	thf(func_def_22, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
0.19/0.46	thf(func_def_23, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
0.19/0.46	thf(func_def_24, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
0.19/0.46	thf(func_def_28, type, sK1: nat).
0.19/0.46	thf(func_def_29, type, sK2: nat > nat > nat).
0.19/0.46	thf(f53,plain,(
0.19/0.46	  $false),
0.19/0.46	  inference(subsumption_resolution,[],[f52,f22])).
0.19/0.46	thf(f22,plain,(
0.19/0.46	  ($true != (some @ ((diffprop @ x) @ z)))),
0.19/0.46	  inference(cnf_transformation,[],[f18])).
0.19/0.46	thf(f18,plain,(
0.19/0.46	  ($true != (some @ ((diffprop @ x) @ z)))),
0.19/0.46	  inference(flattening,[],[f9])).
0.19/0.46	thf(f9,plain,(
0.19/0.46	  ~($true = (some @ ((diffprop @ x) @ z)))),
0.19/0.46	  inference(fool_elimination,[],[f8])).
0.19/0.46	thf(f8,plain,(
0.19/0.46	  ~(some @ (^[X0 : nat] : ((((diffprop @ x) @ z) @ X0))))),
0.19/0.46	  inference(rectify,[],[f3])).
0.19/0.46	thf(f3,negated_conjecture,(
0.19/0.46	  ~(some @ (^[X4 : nat] : ((((diffprop @ x) @ z) @ X4))))),
0.19/0.46	  inference(negated_conjecture,[],[f2])).
0.19/0.46	thf(f2,conjecture,(
0.19/0.46	  (some @ (^[X4 : nat] : ((((diffprop @ x) @ z) @ X4))))),
0.19/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz16c)).
0.19/0.46	thf(f52,plain,(
0.19/0.46	  ($true = (some @ ((diffprop @ x) @ z)))),
0.19/0.46	  inference(trivial_inequality_removal,[],[f51])).
0.19/0.46	thf(f51,plain,(
0.19/0.46	  ($true != $true) | ($true = (some @ ((diffprop @ x) @ z)))),
0.19/0.46	  inference(superposition,[],[f48,f33])).
0.19/0.46	thf(f33,plain,(
0.19/0.46	  ($true = ((lessis @ y) @ x))),
0.19/0.46	  inference(trivial_inequality_removal,[],[f32])).
0.19/0.46	thf(f32,plain,(
0.19/0.46	  ($true != $true) | ($true = ((lessis @ y) @ x))),
0.19/0.46	  inference(superposition,[],[f23,f25])).
0.19/0.46	thf(f25,plain,(
0.19/0.46	  (((moreis @ x) @ y) = $true)),
0.19/0.46	  inference(cnf_transformation,[],[f15])).
0.19/0.46	thf(f15,plain,(
0.19/0.46	  (((moreis @ x) @ y) = $true)),
0.19/0.46	  inference(fool_elimination,[],[f14])).
0.19/0.46	thf(f14,plain,(
0.19/0.46	  ((moreis @ x) @ y)),
0.19/0.46	  inference(rectify,[],[f5])).
0.19/0.46	thf(f5,axiom,(
0.19/0.46	  ((moreis @ x) @ y)),
0.19/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',m)).
0.19/0.46	thf(f23,plain,(
0.19/0.46	  ( ! [X0 : nat,X1 : nat] : ((((moreis @ X0) @ X1) != $true) | (((lessis @ X1) @ X0) = $true)) )),
0.19/0.46	  inference(cnf_transformation,[],[f19])).
0.19/0.46	thf(f19,plain,(
0.19/0.46	  ! [X0 : nat,X1 : nat] : ((((lessis @ X1) @ X0) = $true) | (((moreis @ X0) @ X1) != $true))),
0.19/0.46	  inference(ennf_transformation,[],[f11])).
0.19/0.46	thf(f11,plain,(
0.19/0.46	  ! [X0 : nat,X1 : nat] : ((((moreis @ X0) @ X1) = $true) => (((lessis @ X1) @ X0) = $true))),
0.19/0.46	  inference(fool_elimination,[],[f10])).
0.19/0.46	thf(f10,plain,(
0.19/0.46	  ! [X0 : nat,X1 : nat] : (((moreis @ X0) @ X1) => ((lessis @ X1) @ X0))),
0.19/0.46	  inference(rectify,[],[f6])).
0.19/0.46	thf(f6,axiom,(
0.19/0.46	  ! [X0 : nat,X1 : nat] : (((moreis @ X0) @ X1) => ((lessis @ X1) @ X0))),
0.19/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz13)).
0.19/0.46	thf(f48,plain,(
0.19/0.46	  ( ! [X0 : nat] : (($true != ((lessis @ y) @ X0)) | ($true = (some @ ((diffprop @ X0) @ z)))) )),
0.19/0.46	  inference(equality_resolution,[],[f46])).
0.19/0.46	thf(f46,plain,(
0.19/0.46	  ( ! [X2 : nat,X0 : nat,X1 : nat] : ((((diffprop @ y) @ z) != ((diffprop @ X0) @ X1)) | ($true = (some @ ((diffprop @ X2) @ X1))) | ($true != ((lessis @ X0) @ X2))) )),
0.19/0.46	  inference(trivial_inequality_removal,[],[f45])).
0.19/0.46	thf(f45,plain,(
0.19/0.46	  ( ! [X2 : nat,X0 : nat,X1 : nat] : (($true != $true) | ($true != ((lessis @ X0) @ X2)) | ($true = (some @ ((diffprop @ X2) @ X1))) | (((diffprop @ y) @ z) != ((diffprop @ X0) @ X1))) )),
0.19/0.46	  inference(constrained_superposition,[],[f24,f26])).
0.19/0.46	thf(f26,plain,(
0.19/0.46	  ($true = (some @ ((diffprop @ y) @ z)))),
0.19/0.46	  inference(cnf_transformation,[],[f17])).
0.19/0.46	thf(f17,plain,(
0.19/0.46	  ($true = (some @ ((diffprop @ y) @ z)))),
0.19/0.46	  inference(fool_elimination,[],[f16])).
0.19/0.46	thf(f16,plain,(
0.19/0.46	  (some @ (^[X0 : nat] : ((((diffprop @ y) @ z) @ X0))))),
0.19/0.46	  inference(rectify,[],[f4])).
0.19/0.46	thf(f4,axiom,(
0.19/0.46	  (some @ (^[X4 : nat] : ((((diffprop @ y) @ z) @ X4))))),
0.19/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',n)).
0.19/0.46	thf(f24,plain,(
0.19/0.46	  ( ! [X2 : nat,X0 : nat,X1 : nat] : (($true != (some @ ((diffprop @ X1) @ X0))) | (((lessis @ X1) @ X2) != $true) | ($true = (some @ ((diffprop @ X2) @ X0)))) )),
0.19/0.46	  inference(cnf_transformation,[],[f21])).
0.19/0.46	thf(f21,plain,(
0.19/0.46	  ! [X0 : nat,X1 : nat,X2 : nat] : (($true = (some @ ((diffprop @ X2) @ X0))) | (((lessis @ X1) @ X2) != $true) | ($true != (some @ ((diffprop @ X1) @ X0))))),
0.19/0.46	  inference(flattening,[],[f20])).
0.19/0.46	thf(f20,plain,(
0.19/0.46	  ! [X0 : nat,X1 : nat,X2 : nat] : ((($true = (some @ ((diffprop @ X2) @ X0))) | (((lessis @ X1) @ X2) != $true)) | ($true != (some @ ((diffprop @ X1) @ X0))))),
0.19/0.46	  inference(ennf_transformation,[],[f13])).
0.19/0.46	thf(f13,plain,(
0.19/0.46	  ! [X0 : nat,X1 : nat,X2 : nat] : (($true = (some @ ((diffprop @ X1) @ X0))) => ((((lessis @ X1) @ X2) = $true) => ($true = (some @ ((diffprop @ X2) @ X0)))))),
0.19/0.46	  inference(fool_elimination,[],[f12])).
0.19/0.46	thf(f12,plain,(
0.19/0.46	  ! [X0 : nat,X1 : nat,X2 : nat] : ((some @ (^[X3 : nat] : ((((diffprop @ X1) @ X0) @ X3)))) => (((lessis @ X1) @ X2) => (some @ (^[X4 : nat] : ((((diffprop @ X2) @ X0) @ X4))))))),
0.19/0.46	  inference(rectify,[],[f1])).
0.19/0.46	thf(f1,axiom,(
0.19/0.46	  ! [X0 : nat,X1 : nat,X2 : nat] : ((some @ (^[X3 : nat] : ((((diffprop @ X1) @ X0) @ X3)))) => (((lessis @ X1) @ X2) => (some @ (^[X3 : nat] : ((((diffprop @ X2) @ X0) @ X3))))))),
0.19/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz16b)).
0.19/0.46	% SZS output end Proof for theBenchmark
0.19/0.46	% (16188)------------------------------
0.19/0.46	% (16188)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.19/0.46	% (16188)Termination reason: Refutation
0.19/0.46	
0.19/0.46	% (16188)Memory used [KB]: 5756
0.19/0.46	% (16188)Time elapsed: 0.036 s
0.19/0.46	% (16188)------------------------------
0.19/0.46	% (16188)------------------------------
0.19/0.46	% (16171)Success in time 0.055 s
0.19/0.46	EOF