0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
0.11/0.33	% Computer : n014.cluster.edu
0.11/0.33	% Model    : x86_64 x86_64
0.11/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.33	% Memory   : 8042.1875MB
0.11/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.33	% CPULimit   : 300
0.11/0.33	% WCLimit    : 300
0.11/0.33	% DateTime   : Fri Jul  5 04:22:39 EDT 2024
0.11/0.33	% CPUTime    : 
0.11/0.35	This is a TFF_ problem
0.11/0.35	Running vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.11/0.36	% (10454)Running in auto input_syntax mode. Trying TPTP
0.21/0.39	% (10459)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on theBenchmark for (408ds/0Mi)
0.21/0.42	% (10456)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on theBenchmark for (572ds/0Mi)
0.21/0.42	% (10455)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on theBenchmark for (1034ds/0Mi)
0.21/0.42	% (10458)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on theBenchmark for (472ds/0Mi)
0.21/0.42	% (10460)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on theBenchmark for (318ds/0Mi)
0.21/0.42	% (10457)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on theBenchmark for (476ds/0Mi)
0.21/0.42	% (10461)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on theBenchmark for (280ds/0Mi)
0.21/0.50	% (10457)First to succeed.
0.21/0.50	% (10457)Refutation found. Thanks to Tanya!
0.21/0.50	% SZS status Theorem for theBenchmark
0.21/0.50	% SZS output start Proof for theBenchmark
0.21/0.50	tff(type_def_5, type, 'Array[Int,Int]': $tType).
0.21/0.50	tff(func_def_0, type, 'select:(Array[Int,Int]*Int)>Int': ('Array[Int,Int]' * $int) > $int).
0.21/0.50	tff(func_def_1, type, 'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]': ('Array[Int,Int]' * $int * $int) > 'Array[Int,Int]').
0.21/0.50	tff(func_def_2, type, 'const:(Int)>Array[Int,Int]': $int > 'Array[Int,Int]').
0.21/0.50	tff(func_def_3, type, length: 'Array[Int,Int]' > $int).
0.21/0.50	tff(func_def_4, type, div2: $int > $int).
0.21/0.50	tff(func_def_12, type, sK0: $int).
0.21/0.50	tff(func_def_13, type, sK1: $int).
0.21/0.50	tff(func_def_14, type, sK2: 'Array[Int,Int]').
0.21/0.50	tff(func_def_15, type, sK3: $int).
0.21/0.50	tff(func_def_16, type, sK4: ('Array[Int,Int]' * 'Array[Int,Int]') > $int).
0.21/0.50	tff(func_def_17, type, sK5: ('Array[Int,Int]' * $int * $int) > $int).
0.21/0.50	tff(func_def_18, type, sK6: ('Array[Int,Int]' * $int * $int) > $int).
0.21/0.50	tff(func_def_19, type, sF7: $int).
0.21/0.50	tff(func_def_20, type, sF8: $int).
0.21/0.50	tff(func_def_21, type, sF9: $int).
0.21/0.50	tff(func_def_22, type, sF10: $int).
0.21/0.50	tff(func_def_23, type, sF11: $int).
0.21/0.50	tff(func_def_24, type, sF12: $int).
0.21/0.50	tff(func_def_25, type, sF13: $int).
0.21/0.50	tff(func_def_26, type, sF14: $int).
0.21/0.50	tff(pred_def_1, type, sorted: ('Array[Int,Int]' * $int * $int) > $o).
0.21/0.50	tff(f192,plain,(
0.21/0.50	  $false),
0.21/0.50	  inference(avatar_smt_refutation,[],[f91,f96,f101,f106,f111,f116,f121,f126,f132,f138,f143,f149,f154,f159,f165,f172,f183,f191])).
0.21/0.50	tff(f191,plain,(
0.21/0.50	  ~spl15_19 | spl15_1 | ~spl15_6 | spl15_17),
0.21/0.50	  inference(avatar_split_clause,[],[f186,f176,f113,f88,f188])).
0.21/0.50	tff(f188,plain,(
0.21/0.50	  spl15_19 <=> $less(sF13,sF7)),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_19])])).
0.21/0.50	tff(f88,plain,(
0.21/0.50	  spl15_1 <=> $less(sK0,0)),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_1])])).
0.21/0.50	tff(f113,plain,(
0.21/0.50	  spl15_6 <=> sorted(sK2,0,sF9)),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_6])])).
0.21/0.50	tff(f176,plain,(
0.21/0.50	  spl15_17 <=> $less(sF14,sK3)),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_17])])).
0.21/0.50	tff(f186,plain,(
0.21/0.50	  ~$less(sF13,sF7) | (spl15_1 | ~spl15_6 | spl15_17)),
0.21/0.50	  inference(subsumption_resolution,[],[f185,f90])).
0.21/0.50	tff(f90,plain,(
0.21/0.50	  ~$less(sK0,0) | spl15_1),
0.21/0.50	  inference(avatar_component_clause,[],[f88])).
0.21/0.50	tff(f185,plain,(
0.21/0.50	  ~$less(sF13,sF7) | $less(sK0,0) | (~spl15_6 | spl15_17)),
0.21/0.50	  inference(subsumption_resolution,[],[f184,f115])).
0.21/0.50	tff(f115,plain,(
0.21/0.50	  sorted(sK2,0,sF9) | ~spl15_6),
0.21/0.50	  inference(avatar_component_clause,[],[f113])).
0.21/0.50	tff(f184,plain,(
0.21/0.50	  ~sorted(sK2,0,sF9) | ~$less(sF13,sF7) | $less(sK0,0) | spl15_17),
0.21/0.50	  inference(subsumption_resolution,[],[f80,f178])).
0.21/0.50	tff(f178,plain,(
0.21/0.50	  ~$less(sF14,sK3) | spl15_17),
0.21/0.50	  inference(avatar_component_clause,[],[f176])).
0.21/0.50	tff(f80,plain,(
0.21/0.50	  $less(sF14,sK3) | ~sorted(sK2,0,sF9) | ~$less(sF13,sF7) | $less(sK0,0)),
0.21/0.50	  inference(definition_folding,[],[f65,f70,f76,f71,f74,f73,f72,f71,f70,f78,f74,f73])).
0.21/0.50	tff(f78,plain,(
0.21/0.50	  'select:(Array[Int,Int]*Int)>Int'(sK2,sF11) = sF14),
0.21/0.50	  introduced(function_definition,[])).
0.21/0.50	tff(f72,plain,(
0.21/0.50	  $sum(sF7,sF8) = sF9),
0.21/0.50	  introduced(function_definition,[])).
0.21/0.50	tff(f73,plain,(
0.21/0.50	  $sum(sK0,sK1) = sF10),
0.21/0.50	  introduced(function_definition,[])).
0.21/0.50	tff(f74,plain,(
0.21/0.50	  div2(sF10) = sF11),
0.21/0.50	  introduced(function_definition,[])).
0.21/0.50	tff(f71,plain,(
0.21/0.50	  $uminus(1) = sF8),
0.21/0.50	  introduced(function_definition,[])).
0.21/0.50	tff(f76,plain,(
0.21/0.50	  $sum(sF11,sF8) = sF13),
0.21/0.50	  introduced(function_definition,[])).
0.21/0.50	tff(f70,plain,(
0.21/0.50	  length(sK2) = sF7),
0.21/0.50	  introduced(function_definition,[])).
0.21/0.50	tff(f65,plain,(
0.21/0.50	  $less('select:(Array[Int,Int]*Int)>Int'(sK2,div2($sum(sK0,sK1))),sK3) | ~sorted(sK2,0,$sum(length(sK2),$uminus(1))) | ~$less($sum(div2($sum(sK0,sK1)),$uminus(1)),length(sK2)) | $less(sK0,0)),
0.21/0.50	  inference(equality_resolution,[],[f64])).
0.21/0.50	tff(f64,plain,(
0.21/0.50	  ( ! [X6 : $int] : ($less('select:(Array[Int,Int]*Int)>Int'(sK2,div2($sum(sK0,sK1))),sK3) | ~sorted(sK2,0,$sum(length(sK2),$uminus(1))) | ~$less(X6,length(sK2)) | $less(sK0,0) | $sum(div2($sum(sK0,sK1)),$uminus(1)) != X6) )),
0.21/0.50	  inference(equality_resolution,[],[f43])).
0.21/0.50	tff(f43,plain,(
0.21/0.50	  ( ! [X6 : $int,X4 : $int] : (div2($sum(sK0,sK1)) != X4 | $less('select:(Array[Int,Int]*Int)>Int'(sK2,X4),sK3) | ~sorted(sK2,0,$sum(length(sK2),$uminus(1))) | ~$less(X6,length(sK2)) | $less(sK0,0) | $sum(X4,$uminus(1)) != X6) )),
0.21/0.50	  inference(cnf_transformation,[],[f28])).
0.21/0.50	tff(f28,plain,(
0.21/0.50	  ! [X4 : $int] : (div2($sum(sK0,sK1)) != X4 | (((! [X5 : $int] : (~$less(sK1,length(sK2)) | ~sorted(sK2,0,$sum(length(sK2),$uminus(1))) | $less(X5,0) | $sum(X4,1) != X5) & $less('select:(Array[Int,Int]*Int)>Int'(sK2,X4),sK3)) | (! [X6 : $int] : (~sorted(sK2,0,$sum(length(sK2),$uminus(1))) | ~$less(X6,length(sK2)) | $less(sK0,0) | $sum(X4,$uminus(1)) != X6) & ~$less('select:(Array[Int,Int]*Int)>Int'(sK2,X4),sK3))) & sK3 != 'select:(Array[Int,Int]*Int)>Int'(sK2,X4))) & ~$less(sK1,sK0) & sorted(sK2,0,$sum(length(sK2),$uminus(1))) & $less(sK1,length(sK2)) & ~$less(sK0,0)),
0.21/0.50	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f22,f27])).
0.21/0.50	tff(f27,plain,(
0.21/0.50	  ? [X0 : $int,X1 : $int,X2 : 'Array[Int,Int]',X3 : $int] : (! [X4 : $int] : (div2($sum(X0,X1)) != X4 | (((! [X5 : $int] : (~$less(X1,length(X2)) | ~sorted(X2,0,$sum(length(X2),$uminus(1))) | $less(X5,0) | $sum(X4,1) != X5) & $less('select:(Array[Int,Int]*Int)>Int'(X2,X4),X3)) | (! [X6 : $int] : (~sorted(X2,0,$sum(length(X2),$uminus(1))) | ~$less(X6,length(X2)) | $less(X0,0) | $sum(X4,$uminus(1)) != X6) & ~$less('select:(Array[Int,Int]*Int)>Int'(X2,X4),X3))) & 'select:(Array[Int,Int]*Int)>Int'(X2,X4) != X3)) & ~$less(X1,X0) & sorted(X2,0,$sum(length(X2),$uminus(1))) & $less(X1,length(X2)) & ~$less(X0,0)) => (! [X4 : $int] : (div2($sum(sK0,sK1)) != X4 | (((! [X5 : $int] : (~$less(sK1,length(sK2)) | ~sorted(sK2,0,$sum(length(sK2),$uminus(1))) | $less(X5,0) | $sum(X4,1) != X5) & $less('select:(Array[Int,Int]*Int)>Int'(sK2,X4),sK3)) | (! [X6 : $int] : (~sorted(sK2,0,$sum(length(sK2),$uminus(1))) | ~$less(X6,length(sK2)) | $less(sK0,0) | $sum(X4,$uminus(1)) != X6) & ~$less('select:(Array[Int,Int]*Int)>Int'(sK2,X4),sK3))) & sK3 != 'select:(Array[Int,Int]*Int)>Int'(sK2,X4))) & ~$less(sK1,sK0) & sorted(sK2,0,$sum(length(sK2),$uminus(1))) & $less(sK1,length(sK2)) & ~$less(sK0,0))),
0.21/0.50	  introduced(choice_axiom,[])).
0.21/0.50	tff(f22,plain,(
0.21/0.50	  ? [X0 : $int,X1 : $int,X2 : 'Array[Int,Int]',X3 : $int] : (! [X4 : $int] : (div2($sum(X0,X1)) != X4 | (((! [X5 : $int] : (~$less(X1,length(X2)) | ~sorted(X2,0,$sum(length(X2),$uminus(1))) | $less(X5,0) | $sum(X4,1) != X5) & $less('select:(Array[Int,Int]*Int)>Int'(X2,X4),X3)) | (! [X6 : $int] : (~sorted(X2,0,$sum(length(X2),$uminus(1))) | ~$less(X6,length(X2)) | $less(X0,0) | $sum(X4,$uminus(1)) != X6) & ~$less('select:(Array[Int,Int]*Int)>Int'(X2,X4),X3))) & 'select:(Array[Int,Int]*Int)>Int'(X2,X4) != X3)) & ~$less(X1,X0) & sorted(X2,0,$sum(length(X2),$uminus(1))) & $less(X1,length(X2)) & ~$less(X0,0))),
0.21/0.50	  inference(flattening,[],[f21])).
0.21/0.50	tff(f21,plain,(
0.21/0.50	  ? [X0 : $int,X1 : $int,X2 : 'Array[Int,Int]',X3 : $int] : ((! [X4 : $int] : (div2($sum(X0,X1)) != X4 | (((! [X5 : $int] : (~$less(X1,length(X2)) | ~sorted(X2,0,$sum(length(X2),$uminus(1))) | $less(X5,0) | $sum(X4,1) != X5) & $less('select:(Array[Int,Int]*Int)>Int'(X2,X4),X3)) | (! [X6 : $int] : (~sorted(X2,0,$sum(length(X2),$uminus(1))) | ~$less(X6,length(X2)) | $less(X0,0) | $sum(X4,$uminus(1)) != X6) & ~$less('select:(Array[Int,Int]*Int)>Int'(X2,X4),X3))) & 'select:(Array[Int,Int]*Int)>Int'(X2,X4) != X3)) & ~$less(X1,X0)) & (sorted(X2,0,$sum(length(X2),$uminus(1))) & $less(X1,length(X2)) & ~$less(X0,0)))),
0.21/0.50	  inference(ennf_transformation,[],[f15])).
0.21/0.50	tff(f15,plain,(
0.21/0.50	  ~! [X0 : $int,X1 : $int,X2 : 'Array[Int,Int]',X3 : $int] : ((sorted(X2,0,$sum(length(X2),$uminus(1))) & $less(X1,length(X2)) & ~$less(X0,0)) => (~$less(X1,X0) => ? [X4 : $int] : (div2($sum(X0,X1)) = X4 & ('select:(Array[Int,Int]*Int)>Int'(X2,X4) != X3 => (($less('select:(Array[Int,Int]*Int)>Int'(X2,X4),X3) => ? [X5 : $int] : ($less(X1,length(X2)) & sorted(X2,0,$sum(length(X2),$uminus(1))) & ~$less(X5,0) & $sum(X4,1) = X5)) & (~$less('select:(Array[Int,Int]*Int)>Int'(X2,X4),X3) => ? [X6 : $int] : (sorted(X2,0,$sum(length(X2),$uminus(1))) & $less(X6,length(X2)) & ~$less(X0,0) & $sum(X4,$uminus(1)) = X6)))))))),
0.21/0.50	  inference(true_and_false_elimination,[],[f14])).
0.21/0.50	tff(f14,plain,(
0.21/0.50	  ~! [X0 : $int,X1 : $int,X2 : 'Array[Int,Int]',X3 : $int] : ((sorted(X2,0,$sum(length(X2),$uminus(1))) & $less(X1,length(X2)) & ~$less(X0,0)) => (($less(X1,X0) => $true) & (~$less(X1,X0) => ? [X4 : $int] : (div2($sum(X0,X1)) = X4 & ('select:(Array[Int,Int]*Int)>Int'(X2,X4) != X3 => (($less('select:(Array[Int,Int]*Int)>Int'(X2,X4),X3) => ? [X5 : $int] : ($less(X1,length(X2)) & sorted(X2,0,$sum(length(X2),$uminus(1))) & ~$less(X5,0) & $sum(X4,1) = X5)) & (~$less('select:(Array[Int,Int]*Int)>Int'(X2,X4),X3) => ? [X6 : $int] : (sorted(X2,0,$sum(length(X2),$uminus(1))) & $less(X6,length(X2)) & ~$less(X0,0) & $sum(X4,$uminus(1)) = X6)))) & ('select:(Array[Int,Int]*Int)>Int'(X2,X4) = X3 => $true)))))),
0.21/0.50	  inference(rectify,[],[f10])).
0.21/0.50	tff(f10,plain,(
0.21/0.50	  ~! [X6 : $int,X7 : $int,X0 : 'Array[Int,Int]',X4 : $int] : ((sorted(X0,0,$sum(length(X0),$uminus(1))) & $less(X7,length(X0)) & ~$less(X6,0)) => (($less(X7,X6) => $true) & (~$less(X7,X6) => ? [X8 : $int] : (div2($sum(X6,X7)) = X8 & ('select:(Array[Int,Int]*Int)>Int'(X0,X8) != X4 => (($less('select:(Array[Int,Int]*Int)>Int'(X0,X8),X4) => ? [X10 : $int] : ($less(X7,length(X0)) & sorted(X0,0,$sum(length(X0),$uminus(1))) & ~$less(X10,0) & $sum(X8,1) = X10)) & (~$less('select:(Array[Int,Int]*Int)>Int'(X0,X8),X4) => ? [X9 : $int] : (sorted(X0,0,$sum(length(X0),$uminus(1))) & $less(X9,length(X0)) & ~$less(X6,0) & $sum(X8,$uminus(1)) = X9)))) & ('select:(Array[Int,Int]*Int)>Int'(X0,X8) = X4 => $true)))))),
0.21/0.50	  inference(theory_normalization,[],[f6])).
0.21/0.50	tff(f6,negated_conjecture,(
0.21/0.50	  ~! [X6 : $int,X7 : $int,X0 : 'Array[Int,Int]',X4 : $int] : ((sorted(X0,0,$difference(length(X0),1)) & $less(X7,length(X0)) & $lesseq(0,X6)) => (($greater(X6,X7) => $true) & (~$greater(X6,X7) => ? [X8 : $int] : (div2($sum(X6,X7)) = X8 & ('select:(Array[Int,Int]*Int)>Int'(X0,X8) != X4 => (($less('select:(Array[Int,Int]*Int)>Int'(X0,X8),X4) => ? [X10 : $int] : ($less(X7,length(X0)) & sorted(X0,0,$difference(length(X0),1)) & $lesseq(0,X10) & $sum(X8,1) = X10)) & (~$less('select:(Array[Int,Int]*Int)>Int'(X0,X8),X4) => ? [X9 : $int] : (sorted(X0,0,$difference(length(X0),1)) & $less(X9,length(X0)) & $lesseq(0,X6) & $difference(X8,1) = X9)))) & ('select:(Array[Int,Int]*Int)>Int'(X0,X8) = X4 => $true)))))),
0.21/0.50	  inference(negated_conjecture,[],[f5])).
0.21/0.50	tff(f5,conjecture,(
0.21/0.50	  ! [X6 : $int,X7 : $int,X0 : 'Array[Int,Int]',X4 : $int] : ((sorted(X0,0,$difference(length(X0),1)) & $less(X7,length(X0)) & $lesseq(0,X6)) => (($greater(X6,X7) => $true) & (~$greater(X6,X7) => ? [X8 : $int] : (div2($sum(X6,X7)) = X8 & ('select:(Array[Int,Int]*Int)>Int'(X0,X8) != X4 => (($less('select:(Array[Int,Int]*Int)>Int'(X0,X8),X4) => ? [X10 : $int] : ($less(X7,length(X0)) & sorted(X0,0,$difference(length(X0),1)) & $lesseq(0,X10) & $sum(X8,1) = X10)) & (~$less('select:(Array[Int,Int]*Int)>Int'(X0,X8),X4) => ? [X9 : $int] : (sorted(X0,0,$difference(length(X0),1)) & $less(X9,length(X0)) & $lesseq(0,X6) & $difference(X8,1) = X9)))) & ('select:(Array[Int,Int]*Int)>Int'(X0,X8) = X4 => $true)))))),
0.21/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_007)).
0.21/0.50	tff(f183,plain,(
0.21/0.50	  ~spl15_17 | spl15_18 | ~spl15_4 | ~spl15_6),
0.21/0.50	  inference(avatar_split_clause,[],[f174,f113,f103,f180,f176])).
0.21/0.50	tff(f180,plain,(
0.21/0.50	  spl15_18 <=> $less(sF12,0)),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_18])])).
0.21/0.50	tff(f103,plain,(
0.21/0.50	  spl15_4 <=> $less(sK1,sF7)),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_4])])).
0.21/0.50	tff(f174,plain,(
0.21/0.50	  $less(sF12,0) | ~$less(sF14,sK3) | (~spl15_4 | ~spl15_6)),
0.21/0.50	  inference(subsumption_resolution,[],[f173,f115])).
0.21/0.50	tff(f173,plain,(
0.21/0.50	  ~sorted(sK2,0,sF9) | $less(sF12,0) | ~$less(sF14,sK3) | ~spl15_4),
0.21/0.50	  inference(subsumption_resolution,[],[f79,f105])).
0.21/0.50	tff(f105,plain,(
0.21/0.50	  $less(sK1,sF7) | ~spl15_4),
0.21/0.50	  inference(avatar_component_clause,[],[f103])).
0.21/0.50	tff(f79,plain,(
0.21/0.50	  ~$less(sK1,sF7) | ~sorted(sK2,0,sF9) | $less(sF12,0) | ~$less(sF14,sK3)),
0.21/0.50	  inference(definition_folding,[],[f63,f78,f74,f73,f75,f74,f73,f72,f71,f70,f70])).
0.21/0.50	tff(f75,plain,(
0.21/0.50	  $sum(sF11,1) = sF12),
0.21/0.50	  introduced(function_definition,[])).
0.21/0.50	tff(f63,plain,(
0.21/0.50	  ~$less(sK1,length(sK2)) | ~sorted(sK2,0,$sum(length(sK2),$uminus(1))) | $less($sum(div2($sum(sK0,sK1)),1),0) | ~$less('select:(Array[Int,Int]*Int)>Int'(sK2,div2($sum(sK0,sK1))),sK3)),
0.21/0.50	  inference(equality_resolution,[],[f62])).
0.21/0.50	tff(f62,plain,(
0.21/0.50	  ( ! [X5 : $int] : (~$less(sK1,length(sK2)) | ~sorted(sK2,0,$sum(length(sK2),$uminus(1))) | $less(X5,0) | $sum(div2($sum(sK0,sK1)),1) != X5 | ~$less('select:(Array[Int,Int]*Int)>Int'(sK2,div2($sum(sK0,sK1))),sK3)) )),
0.21/0.50	  inference(equality_resolution,[],[f44])).
0.21/0.50	tff(f44,plain,(
0.21/0.50	  ( ! [X4 : $int,X5 : $int] : (div2($sum(sK0,sK1)) != X4 | ~$less(sK1,length(sK2)) | ~sorted(sK2,0,$sum(length(sK2),$uminus(1))) | $less(X5,0) | $sum(X4,1) != X5 | ~$less('select:(Array[Int,Int]*Int)>Int'(sK2,X4),sK3)) )),
0.21/0.50	  inference(cnf_transformation,[],[f28])).
0.21/0.50	tff(f172,plain,(
0.21/0.50	  spl15_16 | ~spl15_8 | ~spl15_11),
0.21/0.50	  inference(avatar_split_clause,[],[f167,f140,f123,f169])).
0.21/0.50	tff(f169,plain,(
0.21/0.50	  spl15_16 <=> $less(sF10,$product(2,sF12))),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_16])])).
0.21/0.50	tff(f123,plain,(
0.21/0.50	  spl15_8 <=> div2(sF10) = sF11),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_8])])).
0.21/0.50	tff(f140,plain,(
0.21/0.50	  spl15_11 <=> $sum(sF11,1) = sF12),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_11])])).
0.21/0.50	tff(f167,plain,(
0.21/0.50	  $less(sF10,$product(2,sF12)) | (~spl15_8 | ~spl15_11)),
0.21/0.50	  inference(forward_demodulation,[],[f166,f142])).
0.21/0.50	tff(f142,plain,(
0.21/0.50	  $sum(sF11,1) = sF12 | ~spl15_11),
0.21/0.50	  inference(avatar_component_clause,[],[f140])).
0.21/0.50	tff(f166,plain,(
0.21/0.50	  $less(sF10,$product(2,$sum(sF11,1))) | ~spl15_8),
0.21/0.50	  inference(superposition,[],[f69,f125])).
0.21/0.50	tff(f125,plain,(
0.21/0.50	  div2(sF10) = sF11 | ~spl15_8),
0.21/0.50	  inference(avatar_component_clause,[],[f123])).
0.21/0.50	tff(f69,plain,(
0.21/0.50	  ( ! [X0 : $int] : ($less(X0,$product(2,$sum(div2(X0),1)))) )),
0.21/0.50	  inference(equality_resolution,[],[f50])).
0.21/0.50	tff(f50,plain,(
0.21/0.50	  ( ! [X0 : $int,X1 : $int] : ($less(X0,$product(2,$sum(X1,1))) | div2(X0) != X1) )),
0.21/0.50	  inference(cnf_transformation,[],[f32])).
0.21/0.50	tff(f32,plain,(
0.21/0.50	  ! [X0 : $int,X1 : $int] : (((~$less(X0,$product(2,X1)) & $less(X0,$product(2,$sum(X1,1)))) | div2(X0) != X1) & (div2(X0) = X1 | $less(X0,$product(2,X1)) | ~$less(X0,$product(2,$sum(X1,1)))))),
0.21/0.50	  inference(flattening,[],[f31])).
0.21/0.50	tff(f31,plain,(
0.21/0.50	  ! [X0 : $int,X1 : $int] : (((~$less(X0,$product(2,X1)) & $less(X0,$product(2,$sum(X1,1)))) | div2(X0) != X1) & (div2(X0) = X1 | ($less(X0,$product(2,X1)) | ~$less(X0,$product(2,$sum(X1,1))))))),
0.21/0.50	  inference(nnf_transformation,[],[f17])).
0.21/0.50	tff(f17,plain,(
0.21/0.50	  ! [X0 : $int,X1 : $int] : ((~$less(X0,$product(2,X1)) & $less(X0,$product(2,$sum(X1,1)))) <=> div2(X0) = X1)),
0.21/0.50	  inference(rectify,[],[f12])).
0.21/0.50	tff(f12,plain,(
0.21/0.50	  ! [X0 : $int,X5 : $int] : ((~$less(X0,$product(2,X5)) & $less(X0,$product(2,$sum(X5,1)))) <=> div2(X0) = X5)),
0.21/0.50	  inference(theory_normalization,[],[f3])).
0.21/0.50	tff(f3,axiom,(
0.21/0.50	  ! [X0 : $int,X5 : $int] : (($lesseq($product(2,X5),X0) & $greater($product(2,$sum(X5,1)),X0)) <=> div2(X0) = X5)),
0.21/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_004)).
0.21/0.50	tff(f165,plain,(
0.21/0.50	  ~spl15_15 | ~spl15_8),
0.21/0.50	  inference(avatar_split_clause,[],[f160,f123,f162])).
0.21/0.50	tff(f162,plain,(
0.21/0.50	  spl15_15 <=> $less(sF10,$product(2,sF11))),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_15])])).
0.21/0.50	tff(f160,plain,(
0.21/0.50	  ~$less(sF10,$product(2,sF11)) | ~spl15_8),
0.21/0.50	  inference(superposition,[],[f68,f125])).
0.21/0.50	tff(f68,plain,(
0.21/0.50	  ( ! [X0 : $int] : (~$less(X0,$product(2,div2(X0)))) )),
0.21/0.50	  inference(equality_resolution,[],[f51])).
0.21/0.50	tff(f51,plain,(
0.21/0.50	  ( ! [X0 : $int,X1 : $int] : (~$less(X0,$product(2,X1)) | div2(X0) != X1) )),
0.21/0.50	  inference(cnf_transformation,[],[f32])).
0.21/0.50	tff(f159,plain,(
0.21/0.50	  spl15_14 | ~spl15_5),
0.21/0.50	  inference(avatar_split_clause,[],[f144,f108,f156])).
0.21/0.50	tff(f156,plain,(
0.21/0.50	  spl15_14 <=> sF13 = $sum(sF11,-1)),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_14])])).
0.21/0.50	tff(f108,plain,(
0.21/0.50	  spl15_5 <=> sF8 = -1),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_5])])).
0.21/0.50	tff(f144,plain,(
0.21/0.50	  sF13 = $sum(sF11,-1) | ~spl15_5),
0.21/0.50	  inference(forward_demodulation,[],[f76,f110])).
0.21/0.50	tff(f110,plain,(
0.21/0.50	  sF8 = -1 | ~spl15_5),
0.21/0.50	  inference(avatar_component_clause,[],[f108])).
0.21/0.50	tff(f154,plain,(
0.21/0.50	  spl15_13 | ~spl15_5),
0.21/0.50	  inference(avatar_split_clause,[],[f133,f108,f151])).
0.21/0.50	tff(f151,plain,(
0.21/0.50	  spl15_13 <=> sF9 = $sum(sF7,-1)),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_13])])).
0.21/0.50	tff(f133,plain,(
0.21/0.50	  sF9 = $sum(sF7,-1) | ~spl15_5),
0.21/0.50	  inference(forward_demodulation,[],[f72,f110])).
0.21/0.50	tff(f149,plain,(
0.21/0.50	  spl15_12),
0.21/0.50	  inference(avatar_split_clause,[],[f78,f146])).
0.21/0.50	tff(f146,plain,(
0.21/0.50	  spl15_12 <=> 'select:(Array[Int,Int]*Int)>Int'(sK2,sF11) = sF14),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_12])])).
0.21/0.50	tff(f143,plain,(
0.21/0.50	  spl15_11),
0.21/0.50	  inference(avatar_split_clause,[],[f75,f140])).
0.21/0.50	tff(f138,plain,(
0.21/0.50	  spl15_10),
0.21/0.50	  inference(avatar_split_clause,[],[f73,f135])).
0.21/0.50	tff(f135,plain,(
0.21/0.50	  spl15_10 <=> $sum(sK0,sK1) = sF10),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_10])])).
0.21/0.50	tff(f132,plain,(
0.21/0.50	  ~spl15_9 | ~spl15_7),
0.21/0.50	  inference(avatar_split_clause,[],[f127,f118,f129])).
0.21/0.50	tff(f129,plain,(
0.21/0.50	  spl15_9 <=> $less(sF7,0)),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_9])])).
0.21/0.50	tff(f118,plain,(
0.21/0.50	  spl15_7 <=> length(sK2) = sF7),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_7])])).
0.21/0.50	tff(f127,plain,(
0.21/0.50	  ~$less(sF7,0) | ~spl15_7),
0.21/0.50	  inference(superposition,[],[f46,f120])).
0.21/0.50	tff(f120,plain,(
0.21/0.50	  length(sK2) = sF7 | ~spl15_7),
0.21/0.50	  inference(avatar_component_clause,[],[f118])).
0.21/0.50	tff(f46,plain,(
0.21/0.50	  ( ! [X0 : 'Array[Int,Int]'] : (~$less(length(X0),0)) )),
0.21/0.50	  inference(cnf_transformation,[],[f11])).
0.21/0.50	tff(f11,plain,(
0.21/0.50	  ! [X0 : 'Array[Int,Int]'] : ~$less(length(X0),0)),
0.21/0.50	  inference(theory_normalization,[],[f8])).
0.21/0.50	tff(f8,axiom,(
0.21/0.50	  ! [X0 : 'Array[Int,Int]'] : $greatereq(length(X0),0)),
0.21/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_005)).
0.21/0.50	tff(f126,plain,(
0.21/0.50	  spl15_8),
0.21/0.50	  inference(avatar_split_clause,[],[f74,f123])).
0.21/0.50	tff(f121,plain,(
0.21/0.50	  spl15_7),
0.21/0.50	  inference(avatar_split_clause,[],[f70,f118])).
0.21/0.50	tff(f116,plain,(
0.21/0.50	  spl15_6),
0.21/0.50	  inference(avatar_split_clause,[],[f83,f113])).
0.21/0.50	tff(f83,plain,(
0.21/0.50	  sorted(sK2,0,sF9)),
0.21/0.50	  inference(definition_folding,[],[f39,f72,f71,f70])).
0.21/0.50	tff(f39,plain,(
0.21/0.50	  sorted(sK2,0,$sum(length(sK2),$uminus(1)))),
0.21/0.50	  inference(cnf_transformation,[],[f28])).
0.21/0.50	tff(f111,plain,(
0.21/0.50	  spl15_5),
0.21/0.50	  inference(avatar_split_clause,[],[f86,f108])).
0.21/0.50	tff(f86,plain,(
0.21/0.50	  sF8 = -1),
0.21/0.50	  inference(evaluation,[],[f71])).
0.21/0.50	tff(f106,plain,(
0.21/0.50	  spl15_4),
0.21/0.50	  inference(avatar_split_clause,[],[f84,f103])).
0.21/0.50	tff(f84,plain,(
0.21/0.50	  $less(sK1,sF7)),
0.21/0.50	  inference(definition_folding,[],[f38,f70])).
0.21/0.50	tff(f38,plain,(
0.21/0.50	  $less(sK1,length(sK2))),
0.21/0.50	  inference(cnf_transformation,[],[f28])).
0.21/0.50	tff(f101,plain,(
0.21/0.50	  ~spl15_3),
0.21/0.50	  inference(avatar_split_clause,[],[f82,f98])).
0.21/0.50	tff(f98,plain,(
0.21/0.50	  spl15_3 <=> sK3 = sF14),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_3])])).
0.21/0.50	tff(f82,plain,(
0.21/0.50	  sK3 != sF14),
0.21/0.50	  inference(definition_folding,[],[f67,f78,f74,f73])).
0.21/0.50	tff(f67,plain,(
0.21/0.50	  sK3 != 'select:(Array[Int,Int]*Int)>Int'(sK2,div2($sum(sK0,sK1)))),
0.21/0.50	  inference(equality_resolution,[],[f41])).
0.21/0.50	tff(f41,plain,(
0.21/0.50	  ( ! [X4 : $int] : (div2($sum(sK0,sK1)) != X4 | sK3 != 'select:(Array[Int,Int]*Int)>Int'(sK2,X4)) )),
0.21/0.50	  inference(cnf_transformation,[],[f28])).
0.21/0.50	tff(f96,plain,(
0.21/0.50	  ~spl15_2),
0.21/0.50	  inference(avatar_split_clause,[],[f40,f93])).
0.21/0.50	tff(f93,plain,(
0.21/0.50	  spl15_2 <=> $less(sK1,sK0)),
0.21/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl15_2])])).
0.21/0.50	tff(f40,plain,(
0.21/0.50	  ~$less(sK1,sK0)),
0.21/0.50	  inference(cnf_transformation,[],[f28])).
0.21/0.50	tff(f91,plain,(
0.21/0.50	  ~spl15_1),
0.21/0.50	  inference(avatar_split_clause,[],[f37,f88])).
0.21/0.50	tff(f37,plain,(
0.21/0.50	  ~$less(sK0,0)),
0.21/0.50	  inference(cnf_transformation,[],[f28])).
0.21/0.50	% SZS output end Proof for theBenchmark
0.21/0.50	% (10457)------------------------------
0.21/0.50	% (10457)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
0.21/0.50	% (10457)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
0.21/0.50	% (10457)Termination reason: Refutation
0.21/0.50	
0.21/0.50	% (10457)Memory used [KB]: 5628
0.21/0.50	% (10457)Time elapsed: 0.084 s
0.21/0.50	% (10457)------------------------------
0.21/0.50	% (10457)------------------------------
0.21/0.50	% (10454)Success in time 0.143 s
0.21/0.50	10459 Aborted by signal SIGHUP on /export/starexec/sandbox2/benchmark/theBenchmark.p
0.21/0.50	% (10459)------------------------------
0.21/0.50	% (10459)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
0.21/0.50	% (10459)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
0.21/0.50	% (10459)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
0.21/0.50	
0.21/0.50	% (10459)Memory used [KB]: 6140
0.21/0.50	% (10459)Time elapsed: 0.113 s
0.21/0.50	% (10459)------------------------------
0.21/0.50	% (10459)------------------------------
0.21/0.50	% Vampire---4.8 exiting
0.21/0.50	EOF