0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
0.13/0.34	% Computer : n011.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 300
0.13/0.34	% WCLimit    : 300
0.13/0.34	% DateTime   : Fri Jul  5 04:21:29 EDT 2024
0.13/0.35	% CPUTime    : 
0.13/0.37	This is a TFF_ problem
0.13/0.37	Running vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.37	% (20021)Running in auto input_syntax mode. Trying TPTP
0.22/0.45	% (20024)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)
0.22/0.45	% (20026)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)
0.22/0.45	% (20022)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)
0.22/0.45	% (20025)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on theBenchmark for (472ds/0Mi)
0.22/0.45	% (20023)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)
0.22/0.45	% (20027)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)
0.22/0.46	% (20028)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)
1.63/0.59	% (20025)First to succeed.
1.63/0.60	% (20025)Refutation found. Thanks to Tanya!
1.63/0.60	% SZS status Theorem for theBenchmark
1.63/0.60	% SZS output start Proof for theBenchmark
1.63/0.60	tff(type_def_5, type, list: $tType).
1.63/0.60	tff(func_def_0, type, nil: list).
1.63/0.60	tff(func_def_1, type, cons: ($int * list) > list).
1.63/0.60	tff(func_def_2, type, head: list > $int).
1.63/0.60	tff(func_def_3, type, tail: list > list).
1.63/0.60	tff(func_def_4, type, length: list > $int).
1.63/0.60	tff(func_def_5, type, count: ($int * list) > $int).
1.63/0.60	tff(func_def_6, type, append: (list * list) > list).
1.63/0.60	tff(func_def_11, type, sK0: ($int * list) > $int).
1.63/0.60	tff(func_def_12, type, sK1: ($int * list) > list).
1.63/0.60	tff(func_def_13, type, sK2: ($int * list) > $int).
1.63/0.60	tff(func_def_14, type, sK3: ($int * list) > list).
1.63/0.60	tff(func_def_15, type, sK4: ($int * list) > $int).
1.63/0.60	tff(func_def_16, type, sK5: ($int * list) > list).
1.63/0.60	tff(pred_def_1, type, in: ($int * list) > $o).
1.63/0.60	tff(pred_def_2, type, inRange: ($int * list) > $o).
1.63/0.60	tff(f1165,plain,(
1.63/0.60	  $false),
1.63/0.60	  inference(avatar_smt_refutation,[],[f84,f333,f420,f424,f469,f470,f537,f538,f551,f646,f691,f704,f744,f922,f942,f1057,f1061,f1094,f1098,f1131,f1135,f1147,f1162])).
1.63/0.60	tff(f1162,plain,(
1.63/0.60	  ~spl6_1),
1.63/0.60	  inference(avatar_contradiction_clause,[],[f1161])).
1.63/0.60	tff(f1161,plain,(
1.63/0.60	  $false | ~spl6_1),
1.63/0.60	  inference(evaluation,[],[f1157])).
1.63/0.60	tff(f1157,plain,(
1.63/0.60	  $less(0,0) | ~$less(0,$sum(1,0)) | ~spl6_1),
1.63/0.60	  inference(superposition,[],[f863,f83])).
1.63/0.60	tff(f83,plain,(
1.63/0.60	  0 = length(nil) | ~spl6_1),
1.63/0.60	  inference(avatar_component_clause,[],[f81])).
1.63/0.60	tff(f81,plain,(
1.63/0.60	  spl6_1 <=> 0 = length(nil)),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_1])])).
1.63/0.60	tff(f863,plain,(
1.63/0.60	  ( ! [X1 : list] : ($less(0,length(X1)) | ~$less(0,$sum(1,length(X1)))) ) | ~spl6_1),
1.63/0.60	  inference(cancellation,[],[f862])).
1.63/0.60	tff(f862,plain,(
1.63/0.60	  ( ! [X1 : list] : ($less(1,$sum(1,length(X1))) | ~$less(0,$sum(1,length(X1)))) ) | ~spl6_1),
1.63/0.60	  inference(superposition,[],[f776,f56])).
1.63/0.60	tff(f56,plain,(
1.63/0.60	  ( ! [X0 : $int,X1 : list] : (length(cons(X0,X1)) = $sum(1,length(X1))) )),
1.63/0.60	  inference(cnf_transformation,[],[f27])).
1.63/0.60	tff(f27,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : length(cons(X0,X1)) = $sum(1,length(X1))),
1.63/0.60	  inference(rectify,[],[f16])).
1.63/0.60	tff(f16,axiom,(
1.63/0.60	  ! [X5 : $int,X3 : list] : length(cons(X5,X3)) = $sum(1,length(X3))),
1.63/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_1)).
1.63/0.60	tff(f776,plain,(
1.63/0.60	  ( ! [X1 : list] : ($less(1,length(X1)) | ~$less(0,length(X1))) ) | ~spl6_1),
1.63/0.60	  inference(cancellation,[],[f775])).
1.63/0.60	tff(f775,plain,(
1.63/0.60	  ( ! [X1 : list] : ($less(2,$sum(1,length(X1))) | ~$less(1,$sum(1,length(X1)))) ) | ~spl6_1),
1.63/0.60	  inference(superposition,[],[f750,f56])).
1.63/0.60	tff(f750,plain,(
1.63/0.60	  ( ! [X0 : list] : ($less(2,length(X0)) | ~$less(1,length(X0))) ) | ~spl6_1),
1.63/0.60	  inference(evaluation,[],[f749])).
1.63/0.60	tff(f749,plain,(
1.63/0.60	  ( ! [X0 : list] : (~$less(0,$sum(1,0)) | $less(2,length(X0)) | ~$less(1,length(X0))) ) | ~spl6_1),
1.63/0.60	  inference(forward_demodulation,[],[f747,f83])).
1.63/0.60	tff(f747,plain,(
1.63/0.60	  ( ! [X0 : list] : ($less(2,length(X0)) | ~$less(0,$sum(1,length(nil))) | ~$less(1,length(X0))) )),
1.63/0.60	  inference(superposition,[],[f279,f51])).
1.63/0.60	tff(f51,plain,(
1.63/0.60	  ( ! [X0 : list] : (append(nil,X0) = X0) )),
1.63/0.60	  inference(cnf_transformation,[],[f22])).
1.63/0.60	tff(f22,plain,(
1.63/0.60	  ! [X0 : list] : append(nil,X0) = X0),
1.63/0.60	  inference(rectify,[],[f15])).
1.63/0.60	tff(f15,axiom,(
1.63/0.60	  ! [X1 : list] : append(nil,X1) = X1),
1.63/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_6)).
1.63/0.60	tff(f279,plain,(
1.63/0.60	  ( ! [X2 : list,X3 : list] : ($less(2,length(append(X2,X3))) | ~$less(0,$sum(1,length(X2))) | ~$less(1,length(X3))) )),
1.63/0.60	  inference(forward_demodulation,[],[f278,f56])).
1.63/0.60	tff(f278,plain,(
1.63/0.60	  ( ! [X2 : list,X3 : list,X1 : $int] : ($less(2,length(append(X2,X3))) | ~$less(0,length(cons(X1,X2))) | ~$less(1,length(X3))) )),
1.63/0.60	  inference(cancellation,[],[f277])).
1.63/0.60	tff(f277,plain,(
1.63/0.60	  ( ! [X2 : list,X3 : list,X1 : $int] : ($less(3,$sum(1,length(append(X2,X3)))) | ~$less(0,length(cons(X1,X2))) | ~$less(1,length(X3))) )),
1.63/0.60	  inference(forward_demodulation,[],[f266,f56])).
1.63/0.60	tff(f266,plain,(
1.63/0.60	  ( ! [X2 : list,X3 : list,X1 : $int] : ($less(3,length(cons(X1,append(X2,X3)))) | ~$less(0,length(cons(X1,X2))) | ~$less(1,length(X3))) )),
1.63/0.60	  inference(superposition,[],[f145,f71])).
1.63/0.60	tff(f71,plain,(
1.63/0.60	  ( ! [X2 : list,X0 : $int,X1 : list] : (append(cons(X0,X1),X2) = cons(X0,append(X1,X2))) )),
1.63/0.60	  inference(cnf_transformation,[],[f29])).
1.63/0.60	tff(f29,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list,X2 : list] : append(cons(X0,X1),X2) = cons(X0,append(X1,X2))),
1.63/0.60	  inference(rectify,[],[f11])).
1.63/0.60	tff(f11,axiom,(
1.63/0.60	  ! [X6 : $int,X2 : list,X1 : list] : append(cons(X6,X2),X1) = cons(X6,append(X2,X1))),
1.63/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_7)).
1.63/0.60	tff(f145,plain,(
1.63/0.60	  ( ! [X2 : list,X1 : list] : ($less(3,length(append(X1,X2))) | ~$less(0,length(X1)) | ~$less(1,length(X2))) )),
1.63/0.60	  inference(cancellation,[],[f144])).
1.63/0.60	tff(f144,plain,(
1.63/0.60	  ( ! [X2 : list,X1 : list] : (~$less(1,$sum(1,length(X1))) | $less(3,length(append(X1,X2))) | ~$less(1,length(X2))) )),
1.63/0.60	  inference(forward_demodulation,[],[f143,f56])).
1.63/0.60	tff(f143,plain,(
1.63/0.60	  ( ! [X2 : list,X0 : $int,X1 : list] : ($less(3,length(append(X1,X2))) | ~$less(1,length(cons(X0,X1))) | ~$less(1,length(X2))) )),
1.63/0.60	  inference(cancellation,[],[f142])).
1.63/0.60	tff(f142,plain,(
1.63/0.60	  ( ! [X2 : list,X0 : $int,X1 : list] : ($less(4,$sum(1,length(append(X1,X2)))) | ~$less(1,length(cons(X0,X1))) | ~$less(1,length(X2))) )),
1.63/0.60	  inference(forward_demodulation,[],[f141,f56])).
1.63/0.60	tff(f141,plain,(
1.63/0.60	  ( ! [X2 : list,X0 : $int,X1 : list] : ($less(4,length(cons(X0,append(X1,X2)))) | ~$less(1,length(cons(X0,X1))) | ~$less(1,length(X2))) )),
1.63/0.60	  inference(superposition,[],[f48,f71])).
1.63/0.60	tff(f48,plain,(
1.63/0.60	  ( ! [X0 : list,X1 : list] : ($less(4,length(append(X0,X1))) | ~$less(1,length(X0)) | ~$less(1,length(X1))) )),
1.63/0.60	  inference(cnf_transformation,[],[f33])).
1.63/0.60	tff(f33,plain,(
1.63/0.60	  ! [X0 : list,X1 : list] : ($less(4,length(append(X0,X1))) | ~$less(1,length(X0)) | ~$less(1,length(X1)))),
1.63/0.60	  inference(flattening,[],[f32])).
1.63/0.60	tff(f32,plain,(
1.63/0.60	  ! [X0 : list,X1 : list] : ($less(4,length(append(X0,X1))) | (~$less(1,length(X0)) | ~$less(1,length(X1))))),
1.63/0.60	  inference(ennf_transformation,[],[f20])).
1.63/0.60	tff(f20,plain,(
1.63/0.60	  ! [X0 : list,X1 : list] : (($less(1,length(X0)) & $less(1,length(X1))) => $less(4,length(append(X0,X1))))),
1.63/0.60	  inference(rectify,[],[f17])).
1.63/0.60	tff(f17,plain,(
1.63/0.60	  ! [X2 : list,X1 : list] : (($less(1,length(X2)) & $less(1,length(X1))) => $less(4,length(append(X2,X1))))),
1.63/0.60	  inference(theory_normalization,[],[f5])).
1.63/0.60	tff(f5,negated_conjecture,(
1.63/0.60	  ~~! [X2 : list,X1 : list] : (($greater(length(X2),1) & $greater(length(X1),1)) => $greater(length(append(X2,X1)),4))),
1.63/0.60	  inference(negated_conjecture,[],[f4])).
1.63/0.60	tff(f4,conjecture,(
1.63/0.60	  ~! [X2 : list,X1 : list] : (($greater(length(X2),1) & $greater(length(X1),1)) => $greater(length(append(X2,X1)),4))),
1.63/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',c)).
1.63/0.60	tff(f1147,plain,(
1.63/0.60	  spl6_20 | spl6_12),
1.63/0.60	  inference(avatar_split_clause,[],[f1139,f742,f1145])).
1.63/0.60	tff(f1145,plain,(
1.63/0.60	  spl6_20 <=> ! [X2 : $int,X1 : list,X3 : $int,X4 : list] : (0 = X2 | length(X1) != 1 | length(cons(X3,X1)) != head(cons(X2,X4)))),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_20])])).
1.63/0.60	tff(f742,plain,(
1.63/0.60	  spl6_12 <=> ! [X0 : list] : (0 != count(head(X0),X0) | 1 != count(head(X0),tail(X0)) | nil = X0)),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_12])])).
1.63/0.60	tff(f1139,plain,(
1.63/0.60	  ( ! [X2 : $int,X3 : $int,X0 : list,X1 : list,X4 : list] : (0 != count(head(X0),X0) | 0 = X2 | length(cons(X3,X1)) != head(cons(X2,X4)) | nil = X0 | 1 != count(head(X0),tail(X0)) | length(X1) != 1) )),
1.63/0.60	  inference(constrained_superposition,[],[f240,f146])).
1.63/0.60	tff(f146,plain,(
1.63/0.60	  ( ! [X0 : list] : ($sum(count(head(X0),tail(X0)),1) = count(head(X0),X0) | nil = X0) )),
1.63/0.60	  inference(superposition,[],[f79,f52])).
1.63/0.60	tff(f52,plain,(
1.63/0.60	  ( ! [X0 : list] : (cons(head(X0),tail(X0)) = X0 | nil = X0) )),
1.63/0.60	  inference(cnf_transformation,[],[f23])).
1.63/0.60	tff(f23,plain,(
1.63/0.60	  ! [X0 : list] : (cons(head(X0),tail(X0)) = X0 | nil = X0)),
1.63/0.60	  inference(rectify,[],[f7])).
1.63/0.60	tff(f7,axiom,(
1.63/0.60	  ! [X1 : list] : (cons(head(X1),tail(X1)) = X1 | nil = X1)),
1.63/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3)).
1.63/0.60	tff(f79,plain,(
1.63/0.60	  ( ! [X2 : list,X1 : $int] : (count(X1,cons(X1,X2)) = $sum(count(X1,X2),1)) )),
1.63/0.60	  inference(equality_resolution,[],[f73])).
1.63/0.60	tff(f73,plain,(
1.63/0.60	  ( ! [X2 : list,X0 : $int,X1 : $int] : (count(X0,cons(X1,X2)) = $sum(count(X0,X2),1) | X0 != X1) )),
1.63/0.60	  inference(cnf_transformation,[],[f35])).
1.63/0.60	tff(f35,plain,(
1.63/0.60	  ! [X0 : $int,X1 : $int,X2 : list] : (count(X0,cons(X1,X2)) = $sum(count(X0,X2),1) | X0 != X1)),
1.63/0.60	  inference(ennf_transformation,[],[f31])).
1.63/0.60	tff(f31,plain,(
1.63/0.60	  ! [X0 : $int,X1 : $int,X2 : list] : (X0 = X1 => count(X0,cons(X1,X2)) = $sum(count(X0,X2),1))),
1.63/0.60	  inference(rectify,[],[f6])).
1.63/0.60	tff(f6,axiom,(
1.63/0.60	  ! [X2 : $int,X5 : $int,X3 : list,X0 : $int] : (X2 = X5 => count(X2,cons(X5,X3)) = $sum(count(X2,X3),1))),
1.63/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_4)).
1.63/0.60	tff(f240,plain,(
1.63/0.60	  ( ! [X10 : $int,X11 : list,X8 : list,X7 : $int] : (0 != $sum(1,length(X11)) | 0 = X7 | length(cons(X10,X11)) != head(cons(X7,X8))) )),
1.63/0.60	  inference(constrained_superposition,[],[f88,f56])).
1.63/0.60	tff(f88,plain,(
1.63/0.60	  ( ! [X0 : $int,X1 : list] : (0 != head(cons(X0,X1)) | 0 = X0) )),
1.63/0.60	  inference(forward_demodulation,[],[f86,f50])).
1.63/0.60	tff(f50,plain,(
1.63/0.60	  ( ! [X0 : $int] : (0 = count(X0,nil)) )),
1.63/0.60	  inference(cnf_transformation,[],[f21])).
1.63/0.60	tff(f21,plain,(
1.63/0.60	  ! [X0 : $int] : 0 = count(X0,nil)),
1.63/0.60	  inference(rectify,[],[f13])).
1.63/0.60	tff(f13,axiom,(
1.63/0.60	  ! [X2 : $int] : 0 = count(X2,nil)),
1.63/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',a)).
1.63/0.60	tff(f86,plain,(
1.63/0.60	  ( ! [X2 : $int,X0 : $int,X1 : list] : (0 = X0 | count(X2,nil) != head(cons(X0,X1))) )),
1.63/0.60	  inference(constrained_superposition,[],[f54,f50])).
1.63/0.60	tff(f54,plain,(
1.63/0.60	  ( ! [X0 : $int,X1 : list] : (head(cons(X0,X1)) = X0) )),
1.63/0.60	  inference(cnf_transformation,[],[f25])).
1.63/0.60	tff(f25,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : head(cons(X0,X1)) = X0),
1.63/0.60	  inference(rectify,[],[f14])).
1.63/0.60	tff(f14,axiom,(
1.63/0.60	  ! [X2 : $int,X1 : list] : head(cons(X2,X1)) = X2),
1.63/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1)).
1.63/0.60	tff(f1135,plain,(
1.63/0.60	  spl6_2 | spl6_19),
1.63/0.60	  inference(avatar_split_clause,[],[f1121,f1133,f328])).
1.63/0.60	tff(f328,plain,(
1.63/0.60	  spl6_2 <=> ! [X4 : list,X3 : $int] : 1 != count(X3,X4)),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_2])])).
1.63/0.60	tff(f1133,plain,(
1.63/0.60	  spl6_19 <=> ! [X6 : list,X5 : list,X7 : list] : (length(append(X5,X6)) != head(X7) | 1 != length(append(tail(X5),X6)) | nil = X5 | nil = X7 | in(length(append(X5,X6)),X7))),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_19])])).
1.63/0.60	tff(f1121,plain,(
1.63/0.60	  ( ! [X0 : $int,X1 : list,X6 : list,X7 : list,X5 : list] : (length(append(X5,X6)) != head(X7) | in(length(append(X5,X6)),X7) | nil = X7 | nil = X5 | 1 != count(X0,X1) | 1 != length(append(tail(X5),X6))) )),
1.63/0.60	  inference(constrained_superposition,[],[f172,f356])).
1.63/0.60	tff(f356,plain,(
1.63/0.60	  ( ! [X6 : list,X7 : list] : (length(append(X6,X7)) = $sum(1,length(append(tail(X6),X7))) | nil = X6) )),
1.63/0.60	  inference(superposition,[],[f56,f140])).
1.63/0.60	tff(f140,plain,(
1.63/0.60	  ( ! [X0 : list,X1 : list] : (append(X0,X1) = cons(head(X0),append(tail(X0),X1)) | nil = X0) )),
1.63/0.60	  inference(superposition,[],[f71,f52])).
1.63/0.60	tff(f172,plain,(
1.63/0.60	  ( ! [X3 : list,X0 : list,X1 : $int] : (head(X0) != $sum(count(X1,X3),1) | in($sum(count(X1,X3),1),X0) | nil = X0) )),
1.63/0.60	  inference(forward_demodulation,[],[f166,f79])).
1.63/0.60	tff(f166,plain,(
1.63/0.60	  ( ! [X3 : list,X0 : list,X1 : $int] : (in($sum(count(X1,X3),1),X0) | nil = X0 | head(X0) != count(X1,cons(X1,X3))) )),
1.63/0.60	  inference(constrained_superposition,[],[f124,f79])).
1.63/0.60	tff(f124,plain,(
1.63/0.60	  ( ! [X5 : list] : (in(head(X5),X5) | nil = X5) )),
1.63/0.60	  inference(superposition,[],[f78,f52])).
1.63/0.60	tff(f78,plain,(
1.63/0.60	  ( ! [X4 : $int,X5 : list] : (in(X4,cons(X4,X5))) )),
1.63/0.60	  inference(equality_resolution,[],[f77])).
1.63/0.60	tff(f77,plain,(
1.63/0.60	  ( ! [X1 : list,X4 : $int,X5 : list] : (in(X4,X1) | cons(X4,X5) != X1) )),
1.63/0.60	  inference(equality_resolution,[],[f69])).
1.63/0.60	tff(f69,plain,(
1.63/0.60	  ( ! [X0 : $int,X1 : list,X4 : $int,X5 : list] : (in(X0,X1) | X0 != X4 | cons(X4,X5) != X1) )),
1.63/0.60	  inference(cnf_transformation,[],[f47])).
1.63/0.60	tff(f47,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : ((in(X0,X1) | (! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | ~in(X0,X3)) & ! [X4 : $int,X5 : list] : (X0 != X4 | cons(X4,X5) != X1))) & ((cons(sK2(X0,X1),sK3(X0,X1)) = X1 & in(X0,sK3(X0,X1))) | (sK4(X0,X1) = X0 & cons(sK4(X0,X1),sK5(X0,X1)) = X1) | ~in(X0,X1)))),
1.63/0.60	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f44,f46,f45])).
1.63/0.60	tff(f45,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : (? [X6 : $int,X7 : list] : (cons(X6,X7) = X1 & in(X0,X7)) => (cons(sK2(X0,X1),sK3(X0,X1)) = X1 & in(X0,sK3(X0,X1))))),
1.63/0.60	  introduced(choice_axiom,[])).
1.63/0.60	tff(f46,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : (? [X8 : $int,X9 : list] : (X0 = X8 & cons(X8,X9) = X1) => (sK4(X0,X1) = X0 & cons(sK4(X0,X1),sK5(X0,X1)) = X1))),
1.63/0.60	  introduced(choice_axiom,[])).
1.63/0.60	tff(f44,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : ((in(X0,X1) | (! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | ~in(X0,X3)) & ! [X4 : $int,X5 : list] : (X0 != X4 | cons(X4,X5) != X1))) & (? [X6 : $int,X7 : list] : (cons(X6,X7) = X1 & in(X0,X7)) | ? [X8 : $int,X9 : list] : (X0 = X8 & cons(X8,X9) = X1) | ~in(X0,X1)))),
1.63/0.60	  inference(rectify,[],[f43])).
1.63/0.60	tff(f43,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : ((in(X0,X1) | (! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | ~in(X0,X3)) & ! [X4 : $int,X5 : list] : (X0 != X4 | cons(X4,X5) != X1))) & (? [X2 : $int,X3 : list] : (cons(X2,X3) = X1 & in(X0,X3)) | ? [X4 : $int,X5 : list] : (X0 = X4 & cons(X4,X5) = X1) | ~in(X0,X1)))),
1.63/0.60	  inference(flattening,[],[f42])).
1.63/0.60	tff(f42,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : ((in(X0,X1) | (! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | ~in(X0,X3)) & ! [X4 : $int,X5 : list] : (X0 != X4 | cons(X4,X5) != X1))) & ((? [X2 : $int,X3 : list] : (cons(X2,X3) = X1 & in(X0,X3)) | ? [X4 : $int,X5 : list] : (X0 = X4 & cons(X4,X5) = X1)) | ~in(X0,X1)))),
1.63/0.60	  inference(nnf_transformation,[],[f28])).
1.63/0.60	tff(f28,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : (in(X0,X1) <=> (? [X2 : $int,X3 : list] : (cons(X2,X3) = X1 & in(X0,X3)) | ? [X4 : $int,X5 : list] : (X0 = X4 & cons(X4,X5) = X1)))),
1.63/0.60	  inference(rectify,[],[f2])).
1.63/0.60	tff(f2,axiom,(
1.63/0.60	  ! [X4 : $int,X1 : list] : (in(X4,X1) <=> (? [X5 : $int,X3 : list] : (cons(X5,X3) = X1 & in(X4,X3)) | ? [X5 : $int,X3 : list] : (X4 = X5 & cons(X5,X3) = X1)))),
1.63/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_conv)).
1.63/0.60	tff(f1131,plain,(
1.63/0.60	  spl6_2 | spl6_18),
1.63/0.60	  inference(avatar_split_clause,[],[f1120,f1129,f328])).
1.63/0.60	tff(f1129,plain,(
1.63/0.60	  spl6_18 <=> ! [X4 : list,X3 : list] : (length(X3) != head(X4) | 1 != length(tail(X3)) | nil = X3 | nil = X4 | in(length(X3),X4))),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_18])])).
1.63/0.60	tff(f1120,plain,(
1.63/0.60	  ( ! [X3 : list,X0 : $int,X1 : list,X4 : list] : (length(X3) != head(X4) | in(length(X3),X4) | nil = X4 | nil = X3 | 1 != count(X0,X1) | 1 != length(tail(X3))) )),
1.63/0.60	  inference(constrained_superposition,[],[f172,f122])).
1.63/0.60	tff(f122,plain,(
1.63/0.60	  ( ! [X0 : list] : (length(X0) = $sum(1,length(tail(X0))) | nil = X0) )),
1.63/0.60	  inference(superposition,[],[f56,f52])).
1.63/0.60	tff(f1098,plain,(
1.63/0.60	  spl6_2 | spl6_17),
1.63/0.60	  inference(avatar_split_clause,[],[f1084,f1096,f328])).
1.63/0.60	tff(f1096,plain,(
1.63/0.60	  spl6_17 <=> ! [X9 : list,X7 : list,X6 : list,X8 : $int] : (length(append(X6,X7)) != head(cons(X8,X9)) | 1 != length(append(tail(X6),X7)) | nil = X6 | length(append(X6,X7)) = X8)),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_17])])).
1.63/0.60	tff(f1084,plain,(
1.63/0.60	  ( ! [X0 : $int,X1 : list,X8 : $int,X6 : list,X9 : list,X7 : list] : (length(append(X6,X7)) != head(cons(X8,X9)) | length(append(X6,X7)) = X8 | nil = X6 | 1 != count(X0,X1) | 1 != length(append(tail(X6),X7))) )),
1.63/0.60	  inference(constrained_superposition,[],[f430,f356])).
1.63/0.60	tff(f430,plain,(
1.63/0.60	  ( ! [X2 : $int,X3 : list,X0 : $int,X1 : list] : (head(cons(X2,X3)) != $sum(count(X0,X1),1) | $sum(count(X0,X1),1) = X2) )),
1.63/0.60	  inference(superposition,[],[f147,f79])).
1.63/0.60	tff(f147,plain,(
1.63/0.60	  ( ! [X2 : $int,X3 : list,X0 : $int,X1 : list] : (head(cons(X2,X3)) != count(X0,cons(X0,X1)) | $sum(count(X0,X1),1) = X2) )),
1.63/0.60	  inference(constrained_superposition,[],[f79,f54])).
1.63/0.60	tff(f1094,plain,(
1.63/0.60	  spl6_2 | spl6_16),
1.63/0.60	  inference(avatar_split_clause,[],[f1083,f1092,f328])).
1.63/0.60	tff(f1092,plain,(
1.63/0.60	  spl6_16 <=> ! [X4 : $int,X5 : list,X3 : list] : (length(X3) != head(cons(X4,X5)) | 1 != length(tail(X3)) | nil = X3 | length(X3) = X4)),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_16])])).
1.63/0.60	tff(f1083,plain,(
1.63/0.60	  ( ! [X3 : list,X0 : $int,X1 : list,X4 : $int,X5 : list] : (length(X3) != head(cons(X4,X5)) | length(X3) = X4 | nil = X3 | 1 != count(X0,X1) | 1 != length(tail(X3))) )),
1.63/0.60	  inference(constrained_superposition,[],[f430,f122])).
1.63/0.60	tff(f1061,plain,(
1.63/0.60	  spl6_13 | spl6_15),
1.63/0.60	  inference(avatar_split_clause,[],[f951,f1059,f917])).
1.63/0.60	tff(f917,plain,(
1.63/0.60	  spl6_13 <=> ! [X1 : list] : length(X1) != 1),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_13])])).
1.63/0.60	tff(f1059,plain,(
1.63/0.60	  spl6_15 <=> ! [X2 : list,X0 : list] : (head(X2) != count(head(X0),X0) | 1 != count(head(X0),tail(X0)) | nil = X0 | nil = X2 | in(count(head(X0),X0),X2))),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_15])])).
1.63/0.60	tff(f951,plain,(
1.63/0.60	  ( ! [X2 : list,X0 : list,X1 : list] : (head(X2) != count(head(X0),X0) | in(count(head(X0),X0),X2) | nil = X2 | nil = X0 | 1 != count(head(X0),tail(X0)) | length(X1) != 1) )),
1.63/0.60	  inference(constrained_superposition,[],[f174,f146])).
1.63/0.60	tff(f174,plain,(
1.63/0.60	  ( ! [X6 : list,X9 : list] : (head(X6) != $sum(1,length(X9)) | in($sum(1,length(X9)),X6) | nil = X6) )),
1.63/0.60	  inference(forward_demodulation,[],[f169,f56])).
1.63/0.60	tff(f169,plain,(
1.63/0.60	  ( ! [X8 : $int,X6 : list,X9 : list] : (in($sum(1,length(X9)),X6) | nil = X6 | head(X6) != length(cons(X8,X9))) )),
1.63/0.60	  inference(constrained_superposition,[],[f124,f56])).
1.63/0.60	tff(f1057,plain,(
1.63/0.60	  ~spl6_1 | ~spl6_13),
1.63/0.60	  inference(avatar_contradiction_clause,[],[f1056])).
1.63/0.60	tff(f1056,plain,(
1.63/0.60	  $false | (~spl6_1 | ~spl6_13)),
1.63/0.60	  inference(trivial_inequality_removal,[],[f1052])).
1.63/0.60	tff(f1052,plain,(
1.63/0.60	  0 != 0 | (~spl6_1 | ~spl6_13)),
1.63/0.60	  inference(superposition,[],[f946,f83])).
1.63/0.60	tff(f946,plain,(
1.63/0.60	  ( ! [X1 : list] : (0 != length(X1)) ) | ~spl6_13),
1.63/0.60	  inference(cancellation,[],[f944])).
1.63/0.60	tff(f944,plain,(
1.63/0.60	  ( ! [X1 : list] : (1 != $sum(1,length(X1))) ) | ~spl6_13),
1.63/0.60	  inference(superposition,[],[f918,f56])).
1.63/0.60	tff(f918,plain,(
1.63/0.60	  ( ! [X1 : list] : (length(X1) != 1) ) | ~spl6_13),
1.63/0.60	  inference(avatar_component_clause,[],[f917])).
1.63/0.60	tff(f942,plain,(
1.63/0.60	  spl6_11),
1.63/0.60	  inference(avatar_split_clause,[],[f941,f739])).
1.63/0.60	tff(f739,plain,(
1.63/0.60	  spl6_11 <=> ! [X2 : list,X1 : list] : (~$less(0,length(X1)) | 1 != length(append(X1,X2)) | ~$less(1,length(X2)))),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_11])])).
1.63/0.60	tff(f941,plain,(
1.63/0.60	  ( ! [X2 : list,X1 : list] : (1 != length(append(X1,X2)) | ~$less(0,length(X1)) | ~$less(1,length(X2))) )),
1.63/0.60	  inference(evaluation,[],[f935])).
1.63/0.60	tff(f935,plain,(
1.63/0.60	  ( ! [X2 : list,X1 : list] : ($less(2,0) | length(append(X1,X2)) != $sum(0,1) | ~$less(0,length(X1)) | ~$less(1,length(X2))) )),
1.63/0.60	  inference(superposition,[],[f282,f50])).
1.63/0.60	tff(f282,plain,(
1.63/0.60	  ( ! [X8 : list,X6 : $int,X4 : list,X5 : list] : ($less(2,count(X6,X8)) | length(append(X4,X5)) != $sum(count(X6,X8),1) | ~$less(0,length(X4)) | ~$less(1,length(X5))) )),
1.63/0.60	  inference(forward_demodulation,[],[f271,f79])).
1.63/0.60	tff(f271,plain,(
1.63/0.60	  ( ! [X8 : list,X6 : $int,X4 : list,X5 : list] : ($less(2,count(X6,X8)) | ~$less(0,length(X4)) | ~$less(1,length(X5)) | length(append(X4,X5)) != count(X6,cons(X6,X8))) )),
1.63/0.60	  inference(cancellation,[],[f269])).
1.63/0.60	tff(f269,plain,(
1.63/0.60	  ( ! [X8 : list,X6 : $int,X4 : list,X5 : list] : ($less(3,$sum(count(X6,X8),1)) | ~$less(0,length(X4)) | ~$less(1,length(X5)) | length(append(X4,X5)) != count(X6,cons(X6,X8))) )),
1.63/0.60	  inference(constrained_superposition,[],[f145,f79])).
1.63/0.60	tff(f922,plain,(
1.63/0.60	  spl6_13 | spl6_14),
1.63/0.60	  inference(avatar_split_clause,[],[f906,f920,f917])).
1.63/0.60	tff(f920,plain,(
1.63/0.60	  spl6_14 <=> ! [X2 : $int,X0 : list,X3 : list] : (head(cons(X2,X3)) != count(head(X0),X0) | 1 != count(head(X0),tail(X0)) | nil = X0 | count(head(X0),X0) = X2)),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_14])])).
1.63/0.60	tff(f906,plain,(
1.63/0.60	  ( ! [X2 : $int,X3 : list,X0 : list,X1 : list] : (head(cons(X2,X3)) != count(head(X0),X0) | count(head(X0),X0) = X2 | nil = X0 | 1 != count(head(X0),tail(X0)) | length(X1) != 1) )),
1.63/0.60	  inference(constrained_superposition,[],[f375,f146])).
1.63/0.60	tff(f375,plain,(
1.63/0.60	  ( ! [X2 : $int,X3 : list,X1 : list] : ($sum(1,length(X1)) != head(cons(X2,X3)) | $sum(1,length(X1)) = X2) )),
1.63/0.60	  inference(superposition,[],[f99,f56])).
1.63/0.60	tff(f99,plain,(
1.63/0.60	  ( ! [X2 : $int,X3 : list,X0 : $int,X1 : list] : (length(cons(X0,X1)) != head(cons(X2,X3)) | $sum(1,length(X1)) = X2) )),
1.63/0.60	  inference(constrained_superposition,[],[f56,f54])).
1.63/0.60	tff(f744,plain,(
1.63/0.60	  spl6_11 | spl6_12),
1.63/0.60	  inference(avatar_split_clause,[],[f731,f742,f739])).
1.63/0.60	tff(f731,plain,(
1.63/0.60	  ( ! [X2 : list,X0 : list,X1 : list] : (0 != count(head(X0),X0) | ~$less(0,length(X1)) | ~$less(1,length(X2)) | nil = X0 | 1 != count(head(X0),tail(X0)) | 1 != length(append(X1,X2))) )),
1.63/0.60	  inference(constrained_superposition,[],[f258,f146])).
1.63/0.60	tff(f258,plain,(
1.63/0.60	  ( ! [X2 : list,X3 : list] : (0 != $sum(1,length(append(X2,X3))) | ~$less(0,length(X2)) | ~$less(1,length(X3))) )),
1.63/0.60	  inference(cancellation,[],[f257])).
1.63/0.60	tff(f257,plain,(
1.63/0.60	  ( ! [X2 : list,X3 : list] : (~$less(1,$sum(1,length(X2))) | 0 != $sum(1,length(append(X2,X3))) | ~$less(1,length(X3))) )),
1.63/0.60	  inference(forward_demodulation,[],[f256,f56])).
1.63/0.60	tff(f256,plain,(
1.63/0.60	  ( ! [X2 : list,X3 : list,X1 : $int] : (0 != $sum(1,length(append(X2,X3))) | ~$less(1,length(cons(X1,X2))) | ~$less(1,length(X3))) )),
1.63/0.60	  inference(forward_demodulation,[],[f248,f56])).
1.63/0.60	tff(f248,plain,(
1.63/0.60	  ( ! [X2 : list,X3 : list,X1 : $int] : (0 != length(cons(X1,append(X2,X3))) | ~$less(1,length(cons(X1,X2))) | ~$less(1,length(X3))) )),
1.63/0.60	  inference(superposition,[],[f116,f71])).
1.63/0.60	tff(f116,plain,(
1.63/0.60	  ( ! [X4 : list,X5 : list] : (0 != length(append(X4,X5)) | ~$less(1,length(X4)) | ~$less(1,length(X5))) )),
1.63/0.60	  inference(forward_demodulation,[],[f110,f50])).
1.63/0.60	tff(f110,plain,(
1.63/0.60	  ( ! [X6 : $int,X4 : list,X5 : list] : (~$less(1,length(X4)) | ~$less(1,length(X5)) | count(X6,nil) != length(append(X4,X5))) )),
1.63/0.60	  inference(evaluation,[],[f109])).
1.63/0.60	tff(f109,plain,(
1.63/0.60	  ( ! [X6 : $int,X4 : list,X5 : list] : ($less(4,0) | ~$less(1,length(X4)) | ~$less(1,length(X5)) | count(X6,nil) != length(append(X4,X5))) )),
1.63/0.60	  inference(constrained_superposition,[],[f48,f50])).
1.63/0.60	tff(f704,plain,(
1.63/0.60	  spl6_2 | spl6_10),
1.63/0.60	  inference(avatar_split_clause,[],[f697,f702,f328])).
1.63/0.60	tff(f702,plain,(
1.63/0.60	  spl6_10 <=> ! [X0 : list] : (0 != count(head(X0),X0) | count(head(X0),tail(X0)) != 2 | nil = X0)),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_10])])).
1.63/0.60	tff(f697,plain,(
1.63/0.60	  ( ! [X2 : list,X0 : list,X1 : $int] : (0 != count(head(X0),X0) | nil = X0 | count(head(X0),tail(X0)) != 2 | 1 != count(X1,X2)) )),
1.63/0.60	  inference(constrained_superposition,[],[f312,f146])).
1.63/0.60	tff(f312,plain,(
1.63/0.60	  ( ! [X4 : $int,X5 : list] : (0 != $sum(2,count(X4,X5))) )),
1.63/0.60	  inference(forward_demodulation,[],[f300,f50])).
1.63/0.60	tff(f300,plain,(
1.63/0.60	  ( ! [X6 : $int,X4 : $int,X5 : list] : (count(X6,nil) != $sum(2,count(X4,X5))) )),
1.63/0.60	  inference(evaluation,[],[f294])).
1.63/0.60	tff(f294,plain,(
1.63/0.60	  ( ! [X6 : $int,X4 : $int,X5 : list] : ($less(0,0) | count(X6,nil) != $sum(2,count(X4,X5))) )),
1.63/0.60	  inference(constrained_superposition,[],[f209,f50])).
1.63/0.60	tff(f209,plain,(
1.63/0.60	  ( ! [X10 : $int,X11 : list] : ($less(0,$sum(2,count(X10,X11)))) )),
1.63/0.60	  inference(evaluation,[],[f194])).
1.63/0.60	tff(f194,plain,(
1.63/0.60	  ( ! [X10 : $int,X11 : list] : ($less(0,$sum($sum(count(X10,X11),1),1))) )),
1.63/0.60	  inference(superposition,[],[f153,f79])).
1.63/0.60	tff(f153,plain,(
1.63/0.60	  ( ! [X0 : $int,X1 : list] : ($less(0,$sum(count(X0,X1),1))) )),
1.63/0.60	  inference(subsumption_resolution,[],[f150,f78])).
1.63/0.60	tff(f150,plain,(
1.63/0.60	  ( ! [X0 : $int,X1 : list] : ($less(0,$sum(count(X0,X1),1)) | ~in(X0,cons(X0,X1))) )),
1.63/0.60	  inference(superposition,[],[f63,f79])).
1.63/0.60	tff(f63,plain,(
1.63/0.60	  ( ! [X0 : $int,X1 : list] : ($less(0,count(X0,X1)) | ~in(X0,X1)) )),
1.63/0.60	  inference(cnf_transformation,[],[f41])).
1.63/0.60	tff(f41,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : ((in(X0,X1) | ~$less(0,count(X0,X1))) & ($less(0,count(X0,X1)) | ~in(X0,X1)))),
1.63/0.60	  inference(nnf_transformation,[],[f19])).
1.63/0.60	tff(f19,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : (in(X0,X1) <=> $less(0,count(X0,X1)))),
1.63/0.60	  inference(theory_normalization,[],[f9])).
1.63/0.60	tff(f9,axiom,(
1.63/0.60	  ! [X0 : $int,X1 : list] : (in(X0,X1) <=> $greater(count(X0,X1),0))),
1.63/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_8)).
1.63/0.60	tff(f691,plain,(
1.63/0.60	  spl6_2 | spl6_3),
1.63/0.60	  inference(avatar_split_clause,[],[f689,f331,f328])).
1.63/0.60	tff(f331,plain,(
1.63/0.60	  spl6_3 <=> ! [X5 : list] : ($less(0,length(X5)) | 1 != length(tail(X5)) | nil = X5)),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_3])])).
1.63/0.60	tff(f689,plain,(
1.63/0.60	  ( ! [X2 : list,X0 : list,X1 : $int] : ($less(0,length(X0)) | 1 != count(X1,X2) | nil = X0 | 1 != length(tail(X0))) )),
1.63/0.60	  inference(constrained_superposition,[],[f212,f122])).
1.63/0.60	tff(f212,plain,(
1.63/0.60	  ( ! [X2 : $int,X0 : $int,X1 : list] : ($less(0,$sum(X2,1)) | count(X0,X1) != X2) )),
1.63/0.60	  inference(forward_demodulation,[],[f190,f54])).
1.63/0.60	tff(f190,plain,(
1.63/0.60	  ( ! [X2 : $int,X3 : list,X0 : $int,X1 : list] : ($less(0,$sum(X2,1)) | count(X0,X1) != head(cons(X2,X3))) )),
1.63/0.60	  inference(constrained_superposition,[],[f153,f54])).
1.63/0.60	tff(f646,plain,(
1.63/0.60	  spl6_2 | spl6_9),
1.63/0.60	  inference(avatar_split_clause,[],[f640,f644,f328])).
1.63/0.60	tff(f644,plain,(
1.63/0.60	  spl6_9 <=> ! [X0 : list] : ($less(0,count(head(X0),X0)) | 3 != count(head(X0),tail(X0)) | nil = X0)),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_9])])).
1.63/0.60	tff(f640,plain,(
1.63/0.60	  ( ! [X2 : list,X0 : list,X1 : $int] : ($less(0,count(head(X0),X0)) | nil = X0 | 3 != count(head(X0),tail(X0)) | 1 != count(X1,X2)) )),
1.63/0.60	  inference(constrained_superposition,[],[f301,f146])).
1.63/0.60	tff(f301,plain,(
1.63/0.60	  ( ! [X10 : $int,X11 : list] : ($less(0,$sum(3,count(X10,X11)))) )),
1.63/0.60	  inference(evaluation,[],[f291])).
1.63/0.60	tff(f291,plain,(
1.63/0.60	  ( ! [X10 : $int,X11 : list] : ($less(0,$sum(2,$sum(count(X10,X11),1)))) )),
1.63/0.60	  inference(superposition,[],[f209,f79])).
1.63/0.60	tff(f551,plain,(
1.63/0.60	  spl6_2 | spl6_8),
1.63/0.60	  inference(avatar_split_clause,[],[f544,f549,f328])).
1.63/0.60	tff(f549,plain,(
1.63/0.60	  spl6_8 <=> ! [X2 : list] : (0 != length(X2) | 1 != length(tail(X2)) | nil = X2)),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_8])])).
1.63/0.60	tff(f544,plain,(
1.63/0.60	  ( ! [X2 : list,X0 : $int,X1 : list] : (0 != length(X2) | nil = X2 | 1 != count(X0,X1) | 1 != length(tail(X2))) )),
1.63/0.60	  inference(constrained_superposition,[],[f218,f122])).
1.63/0.60	tff(f218,plain,(
1.63/0.60	  ( ! [X4 : $int,X5 : list] : (0 != $sum(count(X4,X5),1)) )),
1.63/0.60	  inference(forward_demodulation,[],[f206,f50])).
1.63/0.60	tff(f206,plain,(
1.63/0.60	  ( ! [X6 : $int,X4 : $int,X5 : list] : (count(X6,nil) != $sum(count(X4,X5),1)) )),
1.63/0.60	  inference(evaluation,[],[f200])).
1.63/0.60	tff(f200,plain,(
1.63/0.60	  ( ! [X6 : $int,X4 : $int,X5 : list] : ($less(0,0) | count(X6,nil) != $sum(count(X4,X5),1)) )),
1.63/0.60	  inference(constrained_superposition,[],[f153,f50])).
1.63/0.60	tff(f538,plain,(
1.63/0.60	  spl6_5 | spl6_7),
1.63/0.60	  inference(avatar_split_clause,[],[f528,f535,f464])).
1.63/0.60	tff(f464,plain,(
1.63/0.60	  spl6_5 <=> ! [X20 : list,X19 : $int] : (inRange(X19,cons(0,X20)) | ~inRange(X19,X20) | ~$less(0,X19))),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_5])])).
1.63/0.60	tff(f535,plain,(
1.63/0.60	  spl6_7 <=> ! [X18 : list,X17 : $int] : (0 != count(X17,X18) | cons(sK4(X17,X18),sK5(X17,X18)) = X18 | cons(sK2(X17,X18),sK3(X17,X18)) = X18)),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_7])])).
1.63/0.60	tff(f528,plain,(
1.63/0.60	  ( ! [X21 : $int,X24 : list,X22 : list,X23 : $int] : (cons(sK2(X21,X22),sK3(X21,X22)) = X22 | cons(sK4(X21,X22),sK5(X21,X22)) = X22 | 0 != count(X21,X22) | inRange(X23,cons(0,X24)) | ~$less(0,X23) | ~inRange(X23,X24)) )),
1.63/0.60	  inference(resolution,[],[f185,f163])).
1.63/0.60	tff(f163,plain,(
1.63/0.60	  ( ! [X2 : $int,X3 : $int,X0 : $int,X4 : list] : ($less(X2,X0) | 0 != X0 | inRange(X3,cons(X2,X4)) | ~$less(X2,X3) | ~inRange(X3,X4)) )),
1.63/0.60	  inference(forward_demodulation,[],[f162,f54])).
1.63/0.60	tff(f162,plain,(
1.63/0.60	  ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : list,X4 : list] : ($less(X2,X0) | inRange(X3,cons(X2,X4)) | ~$less(X2,X3) | ~inRange(X3,X4) | 0 != head(cons(X0,X1))) )),
1.63/0.60	  inference(constrained_superposition,[],[f74,f54])).
1.63/0.60	tff(f74,plain,(
1.63/0.60	  ( ! [X2 : $int,X3 : list,X0 : $int] : ($less(X2,0) | inRange(X0,cons(X2,X3)) | ~$less(X2,X0) | ~inRange(X0,X3)) )),
1.63/0.60	  inference(equality_resolution,[],[f62])).
1.63/0.60	tff(f62,plain,(
1.63/0.60	  ( ! [X2 : $int,X3 : list,X0 : $int,X1 : list] : (inRange(X0,X1) | $less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3) | cons(X2,X3) != X1) )),
1.63/0.60	  inference(cnf_transformation,[],[f40])).
1.63/0.60	tff(f40,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (! [X2 : $int,X3 : list] : ($less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3) | cons(X2,X3) != X1) & nil != X1)) & ((~$less(sK0(X0,X1),0) & $less(sK0(X0,X1),X0) & inRange(X0,sK1(X0,X1)) & cons(sK0(X0,X1),sK1(X0,X1)) = X1) | nil = X1 | ~inRange(X0,X1)))),
1.63/0.60	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f38,f39])).
1.63/0.60	tff(f39,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : (? [X4 : $int,X5 : list] : (~$less(X4,0) & $less(X4,X0) & inRange(X0,X5) & cons(X4,X5) = X1) => (~$less(sK0(X0,X1),0) & $less(sK0(X0,X1),X0) & inRange(X0,sK1(X0,X1)) & cons(sK0(X0,X1),sK1(X0,X1)) = X1))),
1.63/0.60	  introduced(choice_axiom,[])).
1.63/0.60	tff(f38,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (! [X2 : $int,X3 : list] : ($less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3) | cons(X2,X3) != X1) & nil != X1)) & (? [X4 : $int,X5 : list] : (~$less(X4,0) & $less(X4,X0) & inRange(X0,X5) & cons(X4,X5) = X1) | nil = X1 | ~inRange(X0,X1)))),
1.63/0.60	  inference(rectify,[],[f37])).
1.63/0.60	tff(f37,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (! [X2 : $int,X3 : list] : ($less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3) | cons(X2,X3) != X1) & nil != X1)) & (? [X2 : $int,X3 : list] : (~$less(X2,0) & $less(X2,X0) & inRange(X0,X3) & cons(X2,X3) = X1) | nil = X1 | ~inRange(X0,X1)))),
1.63/0.60	  inference(flattening,[],[f36])).
1.63/0.60	tff(f36,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (! [X2 : $int,X3 : list] : ($less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3) | cons(X2,X3) != X1) & nil != X1)) & ((? [X2 : $int,X3 : list] : (~$less(X2,0) & $less(X2,X0) & inRange(X0,X3) & cons(X2,X3) = X1) | nil = X1) | ~inRange(X0,X1)))),
1.63/0.60	  inference(nnf_transformation,[],[f18])).
1.63/0.60	tff(f18,plain,(
1.63/0.60	  ! [X0 : $int,X1 : list] : (inRange(X0,X1) <=> (? [X2 : $int,X3 : list] : (~$less(X2,0) & $less(X2,X0) & inRange(X0,X3) & cons(X2,X3) = X1) | nil = X1))),
1.63/0.60	  inference(theory_normalization,[],[f1])).
1.63/0.60	tff(f1,axiom,(
1.63/0.60	  ! [X0 : $int,X1 : list] : (inRange(X0,X1) <=> (? [X2 : $int,X3 : list] : ($lesseq(0,X2) & $less(X2,X0) & inRange(X0,X3) & cons(X2,X3) = X1) | nil = X1))),
1.63/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',inRange)).
1.63/0.60	tff(f185,plain,(
1.63/0.60	  ( ! [X6 : list,X5 : $int] : (~$less(0,count(X5,X6)) | cons(sK2(X5,X6),sK3(X5,X6)) = X6 | cons(sK4(X5,X6),sK5(X5,X6)) = X6) )),
1.63/0.60	  inference(resolution,[],[f67,f64])).
1.63/0.60	tff(f64,plain,(
1.63/0.60	  ( ! [X0 : $int,X1 : list] : (in(X0,X1) | ~$less(0,count(X0,X1))) )),
1.63/0.60	  inference(cnf_transformation,[],[f41])).
1.63/0.60	tff(f67,plain,(
1.63/0.60	  ( ! [X0 : $int,X1 : list] : (~in(X0,X1) | cons(sK4(X0,X1),sK5(X0,X1)) = X1 | cons(sK2(X0,X1),sK3(X0,X1)) = X1) )),
1.63/0.60	  inference(cnf_transformation,[],[f47])).
1.63/0.60	tff(f537,plain,(
1.63/0.60	  spl6_5 | spl6_7),
1.63/0.60	  inference(avatar_split_clause,[],[f527,f535,f464])).
1.63/0.60	tff(f527,plain,(
1.63/0.60	  ( ! [X18 : list,X19 : $int,X17 : $int,X20 : list] : (0 != count(X17,X18) | cons(sK2(X17,X18),sK3(X17,X18)) = X18 | cons(sK4(X17,X18),sK5(X17,X18)) = X18 | inRange(X19,cons(0,X20)) | ~$less(0,X19) | ~inRange(X19,X20)) )),
1.63/0.60	  inference(constrained_resolution,[],[f185,f74])).
1.63/0.60	tff(f470,plain,(
1.63/0.60	  spl6_5 | spl6_6),
1.63/0.60	  inference(avatar_split_clause,[],[f457,f467,f464])).
1.63/0.60	tff(f467,plain,(
1.63/0.60	  spl6_6 <=> ! [X18 : list,X17 : $int] : (0 != count(X17,X18) | sK4(X17,X18) = X17 | cons(sK2(X17,X18),sK3(X17,X18)) = X18)),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_6])])).
1.63/0.60	tff(f457,plain,(
1.63/0.60	  ( ! [X21 : $int,X24 : list,X22 : list,X23 : $int] : (cons(sK2(X21,X22),sK3(X21,X22)) = X22 | sK4(X21,X22) = X21 | 0 != count(X21,X22) | inRange(X23,cons(0,X24)) | ~$less(0,X23) | ~inRange(X23,X24)) )),
1.63/0.60	  inference(resolution,[],[f179,f163])).
1.63/0.60	tff(f179,plain,(
1.63/0.60	  ( ! [X6 : list,X5 : $int] : (~$less(0,count(X5,X6)) | cons(sK2(X5,X6),sK3(X5,X6)) = X6 | sK4(X5,X6) = X5) )),
1.63/0.60	  inference(resolution,[],[f68,f64])).
1.63/0.60	tff(f68,plain,(
1.63/0.60	  ( ! [X0 : $int,X1 : list] : (~in(X0,X1) | sK4(X0,X1) = X0 | cons(sK2(X0,X1),sK3(X0,X1)) = X1) )),
1.63/0.60	  inference(cnf_transformation,[],[f47])).
1.63/0.60	tff(f469,plain,(
1.63/0.60	  spl6_5 | spl6_6),
1.63/0.60	  inference(avatar_split_clause,[],[f456,f467,f464])).
1.63/0.60	tff(f456,plain,(
1.63/0.60	  ( ! [X18 : list,X19 : $int,X17 : $int,X20 : list] : (0 != count(X17,X18) | cons(sK2(X17,X18),sK3(X17,X18)) = X18 | sK4(X17,X18) = X17 | inRange(X19,cons(0,X20)) | ~$less(0,X19) | ~inRange(X19,X20)) )),
1.63/0.60	  inference(constrained_resolution,[],[f179,f74])).
1.63/0.60	tff(f424,plain,(
1.63/0.60	  spl6_2 | spl6_4),
1.63/0.60	  inference(avatar_split_clause,[],[f384,f422,f328])).
1.63/0.60	tff(f422,plain,(
1.63/0.60	  spl6_4 <=> ! [X2 : list] : ($less(0,count(head(X2),X2)) | 2 != count(head(X2),tail(X2)) | nil = X2)),
1.63/0.60	  introduced(avatar_definition,[new_symbols(naming,[spl6_4])])).
1.63/0.60	tff(f384,plain,(
1.63/0.60	  ( ! [X2 : list,X3 : $int,X4 : list] : ($less(0,count(head(X2),X2)) | nil = X2 | 2 != count(head(X2),tail(X2)) | 1 != count(X3,X4)) )),
1.63/0.60	  inference(constrained_superposition,[],[f209,f146])).
1.63/0.60	tff(f420,plain,(
1.63/0.60	  ~spl6_2),
1.63/0.60	  inference(avatar_contradiction_clause,[],[f419])).
1.63/0.60	tff(f419,plain,(
1.63/0.60	  $false | ~spl6_2),
1.63/0.60	  inference(trivial_inequality_removal,[],[f414])).
1.63/0.60	tff(f414,plain,(
1.63/0.60	  0 != 0 | ~spl6_2),
1.63/0.60	  inference(superposition,[],[f350,f50])).
1.63/0.60	tff(f350,plain,(
1.63/0.60	  ( ! [X2 : list,X1 : $int] : (0 != count(X1,X2)) ) | ~spl6_2),
1.63/0.60	  inference(cancellation,[],[f347])).
1.63/0.60	tff(f347,plain,(
1.63/0.60	  ( ! [X2 : list,X1 : $int] : (1 != $sum(count(X1,X2),1)) ) | ~spl6_2),
1.63/0.60	  inference(superposition,[],[f329,f79])).
1.63/0.60	tff(f329,plain,(
1.63/0.60	  ( ! [X3 : $int,X4 : list] : (1 != count(X3,X4)) ) | ~spl6_2),
1.63/0.60	  inference(avatar_component_clause,[],[f328])).
1.63/0.60	tff(f333,plain,(
1.63/0.60	  spl6_2 | spl6_3),
1.63/0.60	  inference(avatar_split_clause,[],[f326,f331,f328])).
1.63/0.60	tff(f326,plain,(
1.63/0.60	  ( ! [X3 : $int,X4 : list,X5 : list] : ($less(0,length(X5)) | nil = X5 | 1 != count(X3,X4) | 1 != length(tail(X5))) )),
1.63/0.60	  inference(constrained_superposition,[],[f153,f122])).
1.63/0.60	tff(f84,plain,(
1.63/0.60	  spl6_1),
1.63/0.60	  inference(avatar_split_clause,[],[f49,f81])).
1.63/0.60	tff(f49,plain,(
1.63/0.60	  0 = length(nil)),
1.63/0.60	  inference(cnf_transformation,[],[f3])).
1.63/0.60	tff(f3,axiom,(
1.63/0.60	  0 = length(nil)),
1.63/0.60	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',l)).
1.63/0.60	% SZS output end Proof for theBenchmark
1.63/0.60	% (20025)------------------------------
1.63/0.60	% (20025)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
1.63/0.60	% (20025)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
1.63/0.60	% (20025)Termination reason: Refutation
1.63/0.60	
1.63/0.60	% (20025)Memory used [KB]: 2430
1.63/0.60	% (20025)Time elapsed: 0.149 s
1.63/0.60	% (20025)------------------------------
1.63/0.60	% (20025)------------------------------
1.63/0.60	% (20021)Success in time 0.215 s
1.63/0.60	% Vampire---4.8 exiting
1.63/0.60	EOF