0.04/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.14/0.15	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.14/0.36	% Computer : n011.cluster.edu
0.14/0.36	% Model    : x86_64 x86_64
0.14/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.36	% Memory   : 8042.1875MB
0.14/0.36	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.36	% CPULimit   : 960
0.14/0.36	% WCLimit    : 120
0.14/0.36	% DateTime   : Tue Aug  9 05:29:51 EDT 2022
0.14/0.36	% CPUTime    : 
0.22/0.36	This is a THF_ problem
0.22/0.37	Running vampire --ignore_missing on --mode portfolio --schedule casc_hol_2020 -p tptp -om szs --cores 8 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.22/0.37	% (4056)Running in auto input_syntax mode. Trying TPTP
0.22/0.40	% (4060)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_2 on theBenchmark
0.22/0.41	% (4060)First to succeed.
0.22/0.41	% (4060)Refutation found. Thanks to Tanya!
0.22/0.41	% SZS status Theorem for theBenchmark
0.22/0.41	% SZS output start Proof for theBenchmark
0.22/0.41	thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
0.22/0.41	thf(func_def_1, type, cP: $i > $o).
0.22/0.41	thf(func_def_4, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
0.22/0.41	thf(func_def_7, type, sK0: ($i > $o) > $i).
0.22/0.41	thf(func_def_12, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
0.22/0.41	thf(func_def_13, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
0.22/0.41	thf(func_def_14, type, vAND: $o > $o > $o).
0.22/0.41	thf(func_def_15, type, vOR: $o > $o > $o).
0.22/0.41	thf(func_def_16, type, vIMP: $o > $o > $o).
0.22/0.41	thf(func_def_17, type, vNOT: $o > $o).
0.22/0.41	thf(func_def_18, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
0.22/0.41	thf(func_def_19, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
0.22/0.41	thf(func_def_20, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
0.22/0.41	thf(func_def_21, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
0.22/0.41	thf(func_def_22, type, sK2: $i > $i).
0.22/0.41	thf(f107,plain,(
0.22/0.41	  $false),
0.22/0.41	  inference(avatar_sat_refutation,[],[f19,f24,f96,f106])).
0.22/0.41	thf(f106,plain,(
0.22/0.41	  ~spl1_8),
0.22/0.41	  inference(avatar_contradiction_clause,[],[f105])).
0.22/0.41	thf(f105,plain,(
0.22/0.41	  $false | ~spl1_8),
0.22/0.41	  inference(equality_resolution,[],[f95])).
0.22/0.41	thf(f95,plain,(
0.22/0.41	  ( ! [X0 : $i] : ((a != X0)) ) | ~spl1_8),
0.22/0.41	  inference(avatar_component_clause,[],[f94])).
0.22/0.41	thf(f94,plain,(
0.22/0.41	  spl1_8 <=> ! [X0] : (a != X0)),
0.22/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
0.22/0.41	thf(f96,plain,(
0.22/0.41	  spl1_1 | spl1_8 | ~spl1_2),
0.22/0.41	  inference(avatar_split_clause,[],[f92,f21,f94,f16])).
0.22/0.41	thf(f16,plain,(
0.22/0.41	  spl1_1 <=> (b = a)),
0.22/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
0.22/0.41	thf(f21,plain,(
0.22/0.41	  spl1_2 <=> (vAPP($i,$o,cP,a) = $true)),
0.22/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
0.22/0.41	thf(f92,plain,(
0.22/0.41	  ( ! [X0 : $i] : ((a != X0) | (b = a)) ) | ~spl1_2),
0.22/0.41	  inference(trivial_inequality_removal,[],[f88])).
0.22/0.41	thf(f88,plain,(
0.22/0.41	  ( ! [X0 : $i] : (($true != $true) | (a != X0) | (b = a)) ) | ~spl1_2),
0.22/0.41	  inference(superposition,[],[f74,f23])).
0.22/0.41	thf(f23,plain,(
0.22/0.41	  (vAPP($i,$o,cP,a) = $true) | ~spl1_2),
0.22/0.41	  inference(avatar_component_clause,[],[f21])).
0.22/0.41	thf(f74,plain,(
0.22/0.41	  ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,cP,X0)) | (X0 != X1) | (b = X0)) )),
0.22/0.41	  inference(duplicate_literal_removal,[],[f73])).
0.22/0.41	thf(f73,plain,(
0.22/0.41	  ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,cP,X0)) | (X0 != X1) | (b = X0) | (b = X0)) )),
0.22/0.41	  inference(equality_proxy_clausification,[],[f72])).
0.22/0.41	thf(f72,plain,(
0.22/0.41	  ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,cP,X0)) | (X0 != X1) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),X0),b)) | (b = X0)) )),
0.22/0.41	  inference(equality_proxy_clausification,[],[f69])).
0.22/0.41	thf(f69,plain,(
0.22/0.41	  ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,cP,X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),X0),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),X0),b)) | (b = X0)) )),
0.22/0.41	  inference(superposition,[],[f14,f47])).
0.22/0.41	thf(f47,plain,(
0.22/0.41	  ( ! [X0 : $i] : ((vAPP(sTfun($i,$o),$i,sK0,vAPP($i,sTfun($i,$o),vEQ($i),X0)) = X0) | (b = X0)) )),
0.22/0.41	  inference(equality_proxy_clausification,[],[f25])).
0.22/0.41	thf(f25,plain,(
0.22/0.41	  ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),X0),b)) | (vAPP(sTfun($i,$o),$i,sK0,vAPP($i,sTfun($i,$o),vEQ($i),X0)) = X0)) )),
0.22/0.41	  inference(leibniz_equality_elimination,[],[f13])).
0.22/0.41	thf(f13,plain,(
0.22/0.41	  ( ! [X2 : $i,X0 : $i > $o] : ((vAPP($i,$o,X0,X2) != $true) | ($true = vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,sK0,X0))) | (vAPP($i,$o,X0,b) = $true)) )),
0.22/0.41	  inference(cnf_transformation,[],[f10])).
0.22/0.41	thf(f10,plain,(
0.22/0.41	  ! [X0 : $i > $o] : (((($true != vAPP($i,$o,cP,vAPP(sTfun($i,$o),$i,sK0,X0))) & ($true = vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,sK0,X0)))) | ! [X2] : (vAPP($i,$o,X0,X2) != $true) | (vAPP($i,$o,X0,b) = $true)) & (b != a) & (vAPP($i,$o,cP,a) = $true))),
0.22/0.41	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9])).
0.22/0.41	thf(f9,plain,(
0.22/0.41	  ! [X0 : $i > $o] : (? [X1] : (($true != vAPP($i,$o,cP,X1)) & (vAPP($i,$o,X0,X1) = $true)) => (($true != vAPP($i,$o,cP,vAPP(sTfun($i,$o),$i,sK0,X0))) & ($true = vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,sK0,X0)))))),
0.22/0.41	  introduced(choice_axiom,[])).
0.22/0.41	thf(f8,plain,(
0.22/0.41	  ! [X0 : $i > $o] : ((? [X1] : (($true != vAPP($i,$o,cP,X1)) & (vAPP($i,$o,X0,X1) = $true)) | ! [X2] : (vAPP($i,$o,X0,X2) != $true) | (vAPP($i,$o,X0,b) = $true)) & (b != a) & (vAPP($i,$o,cP,a) = $true))),
0.22/0.41	  inference(flattening,[],[f7])).
0.22/0.41	thf(f7,plain,(
0.22/0.41	  ! [X0 : $i > $o] : ((? [X1] : (($true != vAPP($i,$o,cP,X1)) & (vAPP($i,$o,X0,X1) = $true)) | ! [X2] : (vAPP($i,$o,X0,X2) != $true) | (vAPP($i,$o,X0,b) = $true)) & ((b != a) & (vAPP($i,$o,cP,a) = $true)))),
0.22/0.41	  inference(ennf_transformation,[],[f6])).
0.22/0.41	thf(f6,plain,(
0.22/0.41	  ~? [X0 : $i > $o] : (((b != a) & (vAPP($i,$o,cP,a) = $true)) => (! [X1] : ((vAPP($i,$o,X0,X1) = $true) => ($true = vAPP($i,$o,cP,X1))) & ? [X2] : (vAPP($i,$o,X0,X2) = $true) & (vAPP($i,$o,X0,b) != $true)))),
0.22/0.41	  inference(flattening,[],[f5])).
0.22/0.41	thf(f5,plain,(
0.22/0.41	  ~? [X0 : $i > $o] : (((b != a) & (vAPP($i,$o,cP,a) = $true)) => (! [X1] : ((vAPP($i,$o,X0,X1) = $true) => ($true = vAPP($i,$o,cP,X1))) & ? [X2] : (vAPP($i,$o,X0,X2) = $true) & ~(vAPP($i,$o,X0,b) = $true)))),
0.22/0.41	  inference(fool_elimination,[],[f4])).
0.22/0.41	thf(f4,plain,(
0.22/0.41	  ~? [X0 : $i > $o] : (((b != a) & vAPP($i,$o,cP,a)) => (! [X1] : (vAPP($i,$o,X0,X1) => vAPP($i,$o,cP,X1)) & ? [X2] : vAPP($i,$o,X0,X2) & ~vAPP($i,$o,X0,b)))),
0.22/0.41	  inference(rectify,[],[f2])).
0.22/0.41	thf(f2,negated_conjecture,(
0.22/0.41	  ~? [X0 : $i > $o] : (((b != a) & vAPP($i,$o,cP,a)) => (! [X2] : (vAPP($i,$o,X0,X2) => vAPP($i,$o,cP,X2)) & ? [X1] : vAPP($i,$o,X0,X1) & ~vAPP($i,$o,X0,b)))),
0.22/0.41	  inference(negated_conjecture,[],[f1])).
0.22/0.41	thf(f1,conjecture,(
0.22/0.41	  ? [X0 : $i > $o] : (((b != a) & vAPP($i,$o,cP,a)) => (! [X2] : (vAPP($i,$o,X0,X2) => vAPP($i,$o,cP,X2)) & ? [X1] : vAPP($i,$o,X0,X1) & ~vAPP($i,$o,X0,b)))),
0.22/0.41	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.41	thf(f14,plain,(
0.22/0.41	  ( ! [X2 : $i,X0 : $i > $o] : (($true != vAPP($i,$o,cP,vAPP(sTfun($i,$o),$i,sK0,X0))) | (vAPP($i,$o,X0,X2) != $true) | (vAPP($i,$o,X0,b) = $true)) )),
0.22/0.41	  inference(cnf_transformation,[],[f10])).
0.22/0.41	thf(f24,plain,(
0.22/0.41	  spl1_2),
0.22/0.41	  inference(avatar_split_clause,[],[f11,f21])).
0.22/0.41	thf(f11,plain,(
0.22/0.41	  (vAPP($i,$o,cP,a) = $true)),
0.22/0.41	  inference(cnf_transformation,[],[f10])).
0.22/0.41	thf(f19,plain,(
0.22/0.41	  ~spl1_1),
0.22/0.41	  inference(avatar_split_clause,[],[f12,f16])).
0.22/0.41	thf(f12,plain,(
0.22/0.41	  (b != a)),
0.22/0.41	  inference(cnf_transformation,[],[f10])).
0.22/0.41	% SZS output end Proof for theBenchmark
0.22/0.41	% (4060)------------------------------
0.22/0.41	% (4060)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
0.22/0.41	% (4060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
0.22/0.41	% (4060)Termination reason: Refutation
0.22/0.41	
0.22/0.41	% (4060)Memory used [KB]: 10362
0.22/0.41	% (4060)Time elapsed: 0.006 s
0.22/0.41	% (4060)------------------------------
0.22/0.41	% (4060)------------------------------
0.22/0.41	% (4056)Success in time 0.037 s
0.22/0.41	EOF