0.04/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.15	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.14/0.36	% Computer : n014.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 02:36:46 EDT 2022
0.14/0.37	% CPUTime    : 
0.14/0.37	This is a THF_ problem
0.14/0.37	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
0.21/0.37	% (32643)Running in auto input_syntax mode. Trying TPTP
0.21/0.43	% (32644)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_2 on theBenchmark
0.21/0.43	% (32647)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
0.21/0.43	% (32646)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=on:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.21/0.43	% (32648)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_13 on theBenchmark
0.21/0.43	% (32648)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.21/0.44	% (32646)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
0.21/0.44	% (32647)Refutation not found, incomplete strategy% (32647)------------------------------
0.21/0.44	% (32647)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
0.21/0.44	% (32647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
0.21/0.44	% (32647)Termination reason: Refutation not found, incomplete strategy
0.21/0.44	
0.21/0.44	% (32647)Memory used [KB]: 10234
0.21/0.44	% (32647)Time elapsed: 0.006 s
0.21/0.44	% (32647)------------------------------
0.21/0.44	% (32647)------------------------------
0.21/0.44	% (32646)Refutation not found, incomplete strategy% (32646)------------------------------
0.21/0.44	% (32646)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
0.21/0.44	% (32646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
0.21/0.44	% (32646)Termination reason: Refutation not found, incomplete strategy
0.21/0.44	
0.21/0.44	% (32646)Memory used [KB]: 10234
0.21/0.44	% (32646)Time elapsed: 0.006 s
0.21/0.44	% (32646)------------------------------
0.21/0.44	% (32646)------------------------------
0.21/0.44	% (32645)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark
0.21/0.44	% (32644)First to succeed.
0.21/0.44	% (32644)Refutation found. Thanks to Tanya!
0.21/0.44	% SZS status Theorem for theBenchmark
0.21/0.44	% SZS output start Proof for theBenchmark
0.21/0.44	thf(type_def_5, type, frac: $tType).
0.21/0.44	thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
0.21/0.44	thf(func_def_0, type, frac: $tType).
0.21/0.44	thf(func_def_1, type, x: frac).
0.21/0.44	thf(func_def_2, type, y: frac).
0.21/0.44	thf(func_def_3, type, z: frac).
0.21/0.44	thf(func_def_4, type, u: frac).
0.21/0.44	thf(func_def_5, type, moref: frac > frac > $o).
0.21/0.44	thf(func_def_6, type, eq: frac > frac > $o).
0.21/0.44	thf(func_def_7, type, pf: frac > frac > frac).
0.21/0.44	thf(func_def_9, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
0.21/0.44	thf(func_def_15, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
0.21/0.44	thf(func_def_16, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
0.21/0.44	thf(func_def_17, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
0.21/0.44	thf(func_def_18, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
0.21/0.44	thf(func_def_19, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
0.21/0.44	thf(f91,plain,(
0.21/0.44	  $false),
0.21/0.44	  inference(subsumption_resolution,[],[f90,f64])).
0.21/0.44	thf(f64,plain,(
0.21/0.44	  (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) != $true)),
0.21/0.44	  inference(subsumption_resolution,[],[f63,f50])).
0.21/0.44	thf(f50,plain,(
0.21/0.44	  (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) = $true)),
0.21/0.44	  inference(cnf_transformation,[],[f29])).
0.21/0.44	thf(f29,plain,(
0.21/0.44	  (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) = $true)),
0.21/0.44	  inference(fool_elimination,[],[f28])).
0.21/0.44	thf(f28,plain,(
0.21/0.44	  vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y)),
0.21/0.44	  inference(rectify,[],[f6])).
0.21/0.44	thf(f6,axiom,(
0.21/0.44	  vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y)),
0.21/0.44	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.44	thf(f63,plain,(
0.21/0.44	  (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) != $true)),
0.21/0.44	  inference(trivial_inequality_removal,[],[f62])).
0.21/0.44	thf(f62,plain,(
0.21/0.44	  ($true != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) != $true)),
0.21/0.44	  inference(superposition,[],[f42,f49])).
0.21/0.44	thf(f49,plain,(
0.21/0.44	  ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) = $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true)) )),
0.21/0.44	  inference(cnf_transformation,[],[f41])).
0.21/0.44	thf(f41,plain,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) = $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true))),
0.21/0.44	  inference(flattening,[],[f40])).
0.21/0.44	thf(f40,plain,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) = $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) != $true)) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true))),
0.21/0.44	  inference(ennf_transformation,[],[f27])).
0.21/0.44	thf(f27,plain,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) = $true) => ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) = $true) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) = $true)))),
0.21/0.44	  inference(fool_elimination,[],[f26])).
0.21/0.44	thf(f26,plain,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) => vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3))))),
0.21/0.44	  inference(rectify,[],[f9])).
0.21/0.44	thf(f9,axiom,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) => vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3))))),
0.21/0.44	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.44	thf(f42,plain,(
0.21/0.44	  (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) != $true)),
0.21/0.44	  inference(cnf_transformation,[],[f30])).
0.21/0.44	thf(f30,plain,(
0.21/0.44	  (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) != $true)),
0.21/0.44	  inference(flattening,[],[f13])).
0.21/0.44	thf(f13,plain,(
0.21/0.44	  ~(vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u)) = $true)),
0.21/0.44	  inference(fool_elimination,[],[f12])).
0.21/0.44	thf(f12,plain,(
0.21/0.44	  ~vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u))),
0.21/0.44	  inference(rectify,[],[f3])).
0.21/0.44	thf(f3,negated_conjecture,(
0.21/0.44	  ~vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u))),
0.21/0.44	  inference(negated_conjecture,[],[f2])).
0.21/0.44	thf(f2,conjecture,(
0.21/0.44	  vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u))),
0.21/0.44	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.44	thf(f90,plain,(
0.21/0.44	  (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) = $true)),
0.21/0.44	  inference(trivial_inequality_removal,[],[f89])).
0.21/0.44	thf(f89,plain,(
0.21/0.44	  ($true != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) = $true)),
0.21/0.44	  inference(superposition,[],[f88,f43])).
0.21/0.44	thf(f43,plain,(
0.21/0.44	  (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,z),u) = $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) = $true)),
0.21/0.44	  inference(cnf_transformation,[],[f33])).
0.21/0.44	thf(f33,plain,(
0.21/0.44	  (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,z),u) = $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) = $true)),
0.21/0.44	  inference(ennf_transformation,[],[f31])).
0.21/0.44	thf(f31,plain,(
0.21/0.44	  (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) != $true) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,z),u) = $true)),
0.21/0.44	  inference(flattening,[],[f15])).
0.21/0.44	thf(f15,plain,(
0.21/0.44	  ~(vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) = $true) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,z),u) = $true)),
0.21/0.44	  inference(fool_elimination,[],[f14])).
0.21/0.44	thf(f14,plain,(
0.21/0.44	  ~vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) => vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,z),u)),
0.21/0.44	  inference(rectify,[],[f4])).
0.21/0.44	thf(f4,axiom,(
0.21/0.44	  ~vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,z),u) => vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,z),u)),
0.21/0.44	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.44	thf(f88,plain,(
0.21/0.44	  (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,z),u) != $true)),
0.21/0.44	  inference(subsumption_resolution,[],[f87,f50])).
0.21/0.44	thf(f87,plain,(
0.21/0.44	  (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,z),u) != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) != $true)),
0.21/0.44	  inference(trivial_inequality_removal,[],[f86])).
0.21/0.44	thf(f86,plain,(
0.21/0.44	  ($true != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,z),u) != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),y) != $true)),
0.21/0.44	  inference(superposition,[],[f85,f45])).
0.21/0.44	thf(f45,plain,(
0.21/0.44	  ( ! [X0 : frac] : ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X0) = $true)) )),
0.21/0.44	  inference(cnf_transformation,[],[f19])).
0.21/0.44	thf(f19,plain,(
0.21/0.44	  ! [X0 : frac] : (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X0) = $true)),
0.21/0.44	  inference(fool_elimination,[],[f18])).
0.21/0.44	thf(f18,plain,(
0.21/0.44	  ! [X0 : frac] : vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X0)),
0.21/0.44	  inference(rectify,[],[f8])).
0.21/0.44	thf(f8,axiom,(
0.21/0.44	  ! [X0 : frac] : vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X0)),
0.21/0.44	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.44	thf(f85,plain,(
0.21/0.44	  ( ! [X0 : frac] : (($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),y)) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,z),u) != $true) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),X0))) )),
0.21/0.44	  inference(trivial_inequality_removal,[],[f80])).
0.21/0.44	thf(f80,plain,(
0.21/0.44	  ( ! [X0 : frac] : (($true != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,z),u) != $true) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),y)) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,x),X0))) )),
0.21/0.44	  inference(superposition,[],[f61,f46])).
0.21/0.44	thf(f46,plain,(
0.21/0.44	  ( ! [X2 : frac,X0 : frac,X1 : frac] : ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X2)) = $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true)) )),
0.21/0.44	  inference(cnf_transformation,[],[f35])).
0.21/0.44	thf(f35,plain,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac] : ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X2)) = $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true))),
0.21/0.44	  inference(ennf_transformation,[],[f21])).
0.21/0.44	thf(f21,plain,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac] : ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) = $true) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X2)) = $true))),
0.21/0.44	  inference(fool_elimination,[],[f20])).
0.21/0.44	thf(f20,plain,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac] : (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) => vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X2)))),
0.21/0.44	  inference(rectify,[],[f10])).
0.21/0.44	thf(f10,axiom,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac] : (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) => vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X2)))),
0.21/0.44	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.44	thf(f61,plain,(
0.21/0.44	  ( ! [X0 : frac,X1 : frac] : (($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X1))) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),u)) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),y))) )),
0.21/0.44	  inference(trivial_inequality_removal,[],[f58])).
0.21/0.44	thf(f58,plain,(
0.21/0.44	  ( ! [X0 : frac,X1 : frac] : (($true != $true) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X1))) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),u)) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),y))) )),
0.21/0.44	  inference(superposition,[],[f56,f47])).
0.21/0.44	thf(f47,plain,(
0.21/0.44	  ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) = $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X3) != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) != $true)) )),
0.21/0.44	  inference(cnf_transformation,[],[f37])).
0.21/0.44	thf(f37,plain,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) = $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X3) != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) != $true))),
0.21/0.44	  inference(flattening,[],[f36])).
0.21/0.44	thf(f36,plain,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) = $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X3) != $true)) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) != $true))),
0.21/0.44	  inference(ennf_transformation,[],[f23])).
0.21/0.44	thf(f23,plain,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) = $true) => ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X3) = $true) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3)) = $true)))),
0.21/0.44	  inference(fool_elimination,[],[f22])).
0.21/0.44	thf(f22,plain,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X3) => vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3))))),
0.21/0.44	  inference(rectify,[],[f7])).
0.21/0.44	thf(f7,axiom,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X1) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X2),X3) => vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X0),X2)),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,X1),X3))))),
0.21/0.44	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.44	thf(f56,plain,(
0.21/0.44	  ( ! [X3 : frac] : (($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X3),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u))) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),X3))) )),
0.21/0.44	  inference(trivial_inequality_removal,[],[f55])).
0.21/0.44	thf(f55,plain,(
0.21/0.44	  ( ! [X3 : frac] : (($true != $true) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X3),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u))) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z)),X3))) )),
0.21/0.44	  inference(superposition,[],[f53,f45])).
0.21/0.44	thf(f53,plain,(
0.21/0.44	  ( ! [X0 : frac,X1 : frac] : (($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z))) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u))) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X1),X0))) )),
0.21/0.44	  inference(trivial_inequality_removal,[],[f52])).
0.21/0.44	thf(f52,plain,(
0.21/0.44	  ( ! [X0 : frac,X1 : frac] : (($true != $true) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,y),u))) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),vAPP(frac,frac,vAPP(frac,sTfun(frac,frac),pf,x),z))) | ($true != vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X1),X0))) )),
0.21/0.44	  inference(superposition,[],[f42,f48])).
0.21/0.44	thf(f48,plain,(
0.21/0.44	  ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) = $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true)) )),
0.21/0.44	  inference(cnf_transformation,[],[f39])).
0.21/0.44	thf(f39,plain,(
0.21/0.44	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) = $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) != $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true))),
0.21/0.45	  inference(flattening,[],[f38])).
0.21/0.45	thf(f38,plain,(
0.21/0.45	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) = $true) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) != $true)) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) != $true)) | (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) != $true))),
0.21/0.45	  inference(ennf_transformation,[],[f25])).
0.21/0.45	thf(f25,plain,(
0.21/0.45	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) = $true) => ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) = $true) => ((vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) = $true) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3) = $true))))),
0.21/0.45	  inference(fool_elimination,[],[f24])).
0.21/0.45	thf(f24,plain,(
0.21/0.45	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) => vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3))))),
0.21/0.45	  inference(rectify,[],[f1])).
0.21/0.45	thf(f1,axiom,(
0.21/0.45	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X0),X1) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X0),X2) => (vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),eq,X1),X3) => vAPP(frac,$o,vAPP(frac,sTfun(frac,$o),moref,X2),X3))))),
0.21/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.45	% SZS output end Proof for theBenchmark
0.21/0.45	% (32644)------------------------------
0.21/0.45	% (32644)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
0.21/0.45	% (32644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
0.21/0.45	% (32644)Termination reason: Refutation
0.21/0.45	
0.21/0.45	% (32644)Memory used [KB]: 1279
0.21/0.45	% (32644)Time elapsed: 0.012 s
0.21/0.45	% (32644)------------------------------
0.21/0.45	% (32644)------------------------------
0.21/0.45	% (32643)Success in time 0.069 s
0.21/0.45	EOF