0.08/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.09	% Command    : run_vampire %s %d THM
0.08/0.29	% Computer   : n024.cluster.edu
0.08/0.29	% Model      : x86_64 x86_64
0.08/0.29	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.29	% Memory     : 8042.1875MB
0.08/0.29	% OS         : Linux 3.10.0-693.el7.x86_64
0.08/0.29	% CPULimit   : 960
0.08/0.29	% WCLimit    : 120
0.08/0.29	% DateTime   : Wed Jul 30 05:43:49 EDT 2025
0.08/0.29	% CPUTime    : 
0.08/0.31	This is a TFF_ problem
0.08/0.31	Running first-order theorem proving
0.08/0.31	Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.15/0.39	% (21170)Running in auto input_syntax mode. Trying TPTP
0.15/0.39	% (21178)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1368435868:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi)
0.15/0.39	% (21170)Running in auto input_syntax mode. Trying TPTP
0.15/0.39	% (21176)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1366673981:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi)
0.15/0.39	% (21170)Running in auto input_syntax mode. Trying TPTP
0.15/0.39	% (21173)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2403905288:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi)
0.15/0.39	% (21170)Running in auto input_syntax mode. Trying TPTP
0.15/0.39	% (21172)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=988683243:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi)
0.15/0.39	% (21170)Running in auto input_syntax mode. Trying TPTP
0.15/0.39	% (21175)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1740004935:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi)
0.15/0.39	% (21170)Running in auto input_syntax mode. Trying TPTP
0.15/0.39	% (21177)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1189001313:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi)
0.15/0.39	% (21170)Running in auto input_syntax mode. Trying TPTP
0.15/0.39	% (21174)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=161000263:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi)
0.15/0.39	% (21176)Instruction limit reached! 
0.15/0.39	% (21176)------------------------------
0.15/0.39	% (21176)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.15/0.39	% (21176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.15/0.39	% (21176)Termination reason: Instruction limit
0.15/0.39	% (21176)Termination phase: Saturation
0.15/0.39	
0.15/0.39	% (21176)Time elapsed: 0.003 s
0.15/0.39	% (21176)Peak memory usage: 8 MB
0.15/0.39	% (21176)Instructions burned: 4 (million)
0.15/0.39	% (21175)Instruction limit reached! 
0.15/0.39	% (21175)------------------------------
0.15/0.39	% (21175)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.15/0.39	% (21175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.15/0.39	% (21175)Termination reason: Instruction limit
0.15/0.39	% (21175)Termination phase: Saturation
0.15/0.39	
0.15/0.39	% (21175)Time elapsed: 0.004 s
0.15/0.39	% (21175)Peak memory usage: 8 MB
0.15/0.39	% (21175)Instructions burned: 7 (million)
0.15/0.40	% (21172)Instruction limit reached! 
0.15/0.40	% (21172)------------------------------
0.15/0.40	% (21172)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.15/0.40	% (21172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.15/0.40	% (21172)Termination reason: Instruction limit
0.15/0.40	% (21172)Termination phase: Saturation
0.15/0.40	
0.15/0.40	% (21172)Time elapsed: 0.015 s
0.15/0.40	% (21172)Peak memory usage: 28 MB
0.15/0.40	% (21172)Instructions burned: 12 (million)
0.15/0.41	% (21178)Instruction limit reached! 
0.15/0.41	% (21178)------------------------------
0.15/0.41	% (21178)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.15/0.41	% (21178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.15/0.41	% (21178)Termination reason: Instruction limit
0.15/0.41	% (21178)Termination phase: Saturation
0.15/0.41	
0.15/0.41	% (21178)Time elapsed: 0.026 s
0.15/0.41	% (21178)Peak memory usage: 28 MB
0.15/0.41	% (21178)Instructions burned: 34 (million)
0.15/0.42	% (21177)Instruction limit reached! 
0.15/0.42	% (21177)------------------------------
0.15/0.42	% (21177)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.15/0.42	% (21177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.15/0.42	% (21177)Termination reason: Instruction limit
0.15/0.42	% (21177)Termination phase: Saturation
0.15/0.42	
0.15/0.42	% (21177)Time elapsed: 0.033 s
0.15/0.42	% (21177)Peak memory usage: 29 MB
0.15/0.42	% (21177)Instructions burned: 46 (million)
0.15/0.45	% (21173)First to succeed.
0.15/0.45	% (21173)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21170"
0.15/0.46	% (21170)Running in auto input_syntax mode. Trying TPTP
0.15/0.46	% (21173)Refutation found. Thanks to Tanya!
0.15/0.46	% SZS status Theorem for theBenchmark
0.15/0.46	% SZS output start Proof for theBenchmark
0.15/0.46	tff(type_def_5, type, collection: $tType).
0.15/0.46	tff(func_def_0, type, empty: collection).
0.15/0.46	tff(func_def_1, type, add: ($int * collection) > collection).
0.15/0.46	tff(func_def_2, type, remove: ($int * collection) > collection).
0.15/0.46	tff(func_def_3, type, count: collection > $int).
0.15/0.46	tff(func_def_9, type, sK0: collection).
0.15/0.46	tff(func_def_10, type, sK1: $int).
0.15/0.46	tff(func_def_11, type, sF2: collection).
0.15/0.46	tff(func_def_12, type, sF3: collection).
0.15/0.46	tff(func_def_13, type, sF4: $int).
0.15/0.46	tff(func_def_14, type, sF5: collection).
0.15/0.46	tff(func_def_15, type, sF6: collection).
0.15/0.46	tff(func_def_16, type, sF7: collection).
0.15/0.46	tff(func_def_17, type, sF8: $int).
0.15/0.46	tff(pred_def_1, type, in: ($int * collection) > $o).
0.15/0.46	tff(f600,plain,(
0.15/0.46	  $false),
0.15/0.46	  inference(avatar_smt_refutation,[],[f84,f89,f94,f99,f104,f109,f114,f119,f124,f131,f137,f143,f149,f155,f161,f167,f178,f187,f203,f209,f216,f229,f238,f247,f248,f249,f257,f258,f259,f271,f301,f307,f312,f314,f324,f340,f346,f350,f351,f352,f363,f377,f378,f384,f400,f407,f413,f419,f429,f438,f443,f452,f458,f467,f472,f473,f474,f486,f493,f502,f509,f529,f540,f545,f546,f550,f554,f555,f557,f558,f559,f560,f566,f568,f574,f575,f577,f582,f583,f589,f590,f595,f596,f599])).
0.15/0.46	tff(f599,plain,(
0.15/0.46	  ~spl9_55 | spl9_51 | ~spl9_4 | spl9_26),
0.15/0.46	  inference(avatar_split_clause,[],[f597,f235,f96,f479,f506])).
0.15/0.46	tff(f506,definition,(
0.15/0.46	  spl9_55 <=> in(0,sF5)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_55])],[avatar_definition])).
0.15/0.46	tff(f479,definition,(
0.15/0.46	  spl9_51 <=> 0 = sK1),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_51])],[avatar_definition])).
0.15/0.46	tff(f96,definition,(
0.15/0.46	  spl9_4 <=> sF6 = remove(sK1,sF5)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_4])],[avatar_definition])).
0.15/0.46	tff(f235,definition,(
0.15/0.46	  spl9_26 <=> in(0,sF6)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_26])],[avatar_definition])).
0.15/0.46	tff(f597,plain,(
0.15/0.46	  ~in(0,sF5) | 0 = sK1 | (~spl9_4 | spl9_26)),
0.15/0.46	  inference(resolution,[],[f237,f280])).
0.15/0.46	tff(f280,plain,(
0.15/0.46	  ( ! [X0 : $int] : (in(X0,sF6) | sK1 = X0 | ~in(X0,sF5)) ) | ~spl9_4),
0.15/0.46	  inference(superposition,[],[f64,f98])).
0.15/0.46	tff(f98,plain,(
0.15/0.46	  sF6 = remove(sK1,sF5) | ~spl9_4),
0.15/0.46	  inference(avatar_component_clause,[],[f96])).
0.15/0.46	tff(f64,plain,(
0.15/0.46	  ( ! [X2 : $int,X0 : collection,X1 : $int] : (in(X2,remove(X1,X0)) | X1 = X2 | ~in(X2,X0)) )),
0.15/0.46	  inference(cnf_transformation,[],[f43])).
0.15/0.46	tff(f43,plain,(
0.15/0.46	  ! [X0 : collection,X1 : $int,X2 : $int] : ((in(X2,remove(X1,X0)) | X1 = X2 | ~in(X2,X0)) & ((X1 != X2 & in(X2,X0)) | ~in(X2,remove(X1,X0))))),
0.15/0.46	  inference(rectify,[],[f42])).
0.15/0.46	tff(f42,plain,(
0.15/0.46	  ! [X1 : collection,X0 : $int,X2 : $int] : ((in(X2,remove(X0,X1)) | X0 = X2 | ~in(X2,X1)) & ((X0 != X2 & in(X2,X1)) | ~in(X2,remove(X0,X1))))),
0.15/0.46	  inference(flattening,[],[f41])).
0.15/0.46	tff(f41,plain,(
0.15/0.46	  ! [X1 : collection,X0 : $int,X2 : $int] : ((in(X2,remove(X0,X1)) | (X0 = X2 | ~in(X2,X1))) & ((X0 != X2 & in(X2,X1)) | ~in(X2,remove(X0,X1))))),
0.15/0.46	  inference(nnf_transformation,[],[f23])).
0.15/0.46	tff(f23,plain,(
0.15/0.46	  ! [X1 : collection,X0 : $int,X2 : $int] : (in(X2,remove(X0,X1)) <=> (X0 != X2 & in(X2,X1)))),
0.15/0.46	  inference(rectify,[],[f3])).
0.15/0.46	tff(f3,axiom,(
0.15/0.46	  ! [X6 : $int,X5 : collection,X4 : $int] : ((X4 != X6 & in(X4,X5)) <=> in(X4,remove(X6,X5)))),
0.15/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.15/0.46	tff(f237,plain,(
0.15/0.46	  ~in(0,sF6) | spl9_26),
0.15/0.46	  inference(avatar_component_clause,[],[f235])).
0.15/0.46	tff(f596,plain,(
0.15/0.46	  ~spl9_27 | ~spl9_7 | spl9_54),
0.15/0.46	  inference(avatar_split_clause,[],[f504,f499,f111,f240])).
0.15/0.46	tff(f240,definition,(
0.15/0.46	  spl9_27 <=> in(0,sF2)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_27])],[avatar_definition])).
0.15/0.46	tff(f111,definition,(
0.15/0.46	  spl9_7 <=> sF2 = remove(sK1,sK0)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_7])],[avatar_definition])).
0.15/0.46	tff(f499,definition,(
0.15/0.46	  spl9_54 <=> in(0,sK0)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_54])],[avatar_definition])).
0.15/0.46	tff(f504,plain,(
0.15/0.46	  ~in(0,sF2) | (~spl9_7 | spl9_54)),
0.15/0.46	  inference(resolution,[],[f501,f192])).
0.15/0.46	tff(f192,plain,(
0.15/0.46	  ( ! [X0 : $int] : (in(X0,sK0) | ~in(X0,sF2)) ) | ~spl9_7),
0.15/0.46	  inference(superposition,[],[f62,f113])).
0.15/0.46	tff(f113,plain,(
0.15/0.46	  sF2 = remove(sK1,sK0) | ~spl9_7),
0.15/0.46	  inference(avatar_component_clause,[],[f111])).
0.15/0.46	tff(f62,plain,(
0.15/0.46	  ( ! [X2 : $int,X0 : collection,X1 : $int] : (~in(X2,remove(X1,X0)) | in(X2,X0)) )),
0.15/0.46	  inference(cnf_transformation,[],[f43])).
0.15/0.46	tff(f501,plain,(
0.15/0.46	  ~in(0,sK0) | spl9_54),
0.15/0.46	  inference(avatar_component_clause,[],[f499])).
0.15/0.46	tff(f595,plain,(
0.15/0.46	  ~spl9_66 | spl9_61 | ~spl9_9),
0.15/0.46	  inference(avatar_split_clause,[],[f520,f121,f548,f592])).
0.15/0.46	tff(f592,definition,(
0.15/0.46	  spl9_66 <=> $less($sum(sF8,1),0)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_66])],[avatar_definition])).
0.15/0.46	tff(f548,definition,(
0.15/0.46	  spl9_61 <=> ! [X0 : $int] : in(X0,sF7)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_61])],[avatar_definition])).
0.15/0.46	tff(f121,definition,(
0.15/0.46	  spl9_9 <=> count(sF7) = sF8),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_9])],[avatar_definition])).
0.15/0.46	tff(f520,plain,(
0.15/0.46	  ( ! [X0 : $int] : (~$less($sum(sF8,1),0) | in(X0,sF7)) ) | ~spl9_9),
0.15/0.46	  inference(superposition,[],[f290,f123])).
0.15/0.46	tff(f123,plain,(
0.15/0.46	  count(sF7) = sF8 | ~spl9_9),
0.15/0.46	  inference(avatar_component_clause,[],[f121])).
0.15/0.46	tff(f290,plain,(
0.15/0.46	  ( ! [X0 : collection,X1 : $int] : (~$less($sum(count(X0),1),0) | in(X1,X0)) )),
0.15/0.46	  inference(superposition,[],[f58,f65])).
0.15/0.46	tff(f65,plain,(
0.15/0.46	  ( ! [X0 : collection,X1 : $int] : ($sum(count(X0),1) = count(add(X1,X0)) | in(X1,X0)) )),
0.15/0.46	  inference(cnf_transformation,[],[f44])).
0.15/0.46	tff(f44,plain,(
0.15/0.46	  ! [X0 : collection,X1 : $int] : ((~in(X1,X0) | $sum(count(X0),1) != count(add(X1,X0))) & ($sum(count(X0),1) = count(add(X1,X0)) | in(X1,X0)))),
0.15/0.46	  inference(nnf_transformation,[],[f18])).
0.15/0.46	tff(f18,plain,(
0.15/0.46	  ! [X0 : collection,X1 : $int] : (~in(X1,X0) <=> $sum(count(X0),1) = count(add(X1,X0)))),
0.15/0.46	  inference(rectify,[],[f12])).
0.15/0.46	tff(f12,axiom,(
0.15/0.46	  ! [X22 : collection,X21 : $int] : (count(add(X21,X22)) = $sum(count(X22),1) <=> ~in(X21,X22))),
0.15/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.15/0.46	tff(f58,plain,(
0.15/0.46	  ( ! [X0 : collection] : (~$less(count(X0),0)) )),
0.15/0.46	  inference(cnf_transformation,[],[f21])).
0.15/0.46	tff(f21,plain,(
0.15/0.46	  ! [X0 : collection] : ~$less(count(X0),0)),
0.15/0.46	  inference(rectify,[],[f15])).
0.15/0.46	tff(f15,plain,(
0.15/0.46	  ! [X15 : collection] : ~$less(count(X15),0)),
0.15/0.46	  inference(theory_normalization,[],[f8])).
0.15/0.46	tff(f8,axiom,(
0.15/0.46	  ! [X15 : collection] : $greatereq(count(X15),0)),
0.15/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.15/0.46	tff(f590,plain,(
0.15/0.46	  ~spl9_43 | spl9_25 | ~spl9_44),
0.15/0.46	  inference(avatar_split_clause,[],[f584,f435,f231,f426])).
0.15/0.46	tff(f426,definition,(
0.15/0.46	  spl9_43 <=> count(sF6) = $sum(sF4,-1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_43])],[avatar_definition])).
0.15/0.46	tff(f231,definition,(
0.15/0.46	  spl9_25 <=> count(sF6) = sF8),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_25])],[avatar_definition])).
0.15/0.46	tff(f435,definition,(
0.15/0.46	  spl9_44 <=> $sum(sF4,-1) = sF8),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_44])],[avatar_definition])).
0.15/0.46	tff(f584,plain,(
0.15/0.46	  count(sF6) != $sum(sF4,-1) | (spl9_25 | ~spl9_44)),
0.15/0.46	  inference(forward_demodulation,[],[f232,f437])).
0.15/0.46	tff(f437,plain,(
0.15/0.46	  $sum(sF4,-1) = sF8 | ~spl9_44),
0.15/0.46	  inference(avatar_component_clause,[],[f435])).
0.15/0.46	tff(f232,plain,(
0.15/0.46	  count(sF6) != sF8 | spl9_25),
0.15/0.46	  inference(avatar_component_clause,[],[f231])).
0.15/0.46	tff(f589,plain,(
0.15/0.46	  spl9_65 | ~spl9_31 | ~spl9_44),
0.15/0.46	  inference(avatar_split_clause,[],[f576,f435,f304,f586])).
0.15/0.46	tff(f586,definition,(
0.15/0.46	  spl9_65 <=> $sum(sF4,-1) = $sum(count(sF6),1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_65])],[avatar_definition])).
0.15/0.46	tff(f304,definition,(
0.15/0.46	  spl9_31 <=> sF8 = $sum(count(sF6),1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_31])],[avatar_definition])).
0.15/0.46	tff(f576,plain,(
0.15/0.46	  $sum(sF4,-1) = $sum(count(sF6),1) | (~spl9_31 | ~spl9_44)),
0.15/0.46	  inference(forward_demodulation,[],[f306,f437])).
0.15/0.46	tff(f306,plain,(
0.15/0.46	  sF8 = $sum(count(sF6),1) | ~spl9_31),
0.15/0.46	  inference(avatar_component_clause,[],[f304])).
0.15/0.46	tff(f583,plain,(
0.15/0.46	  ~spl9_23 | spl9_14 | ~spl9_29),
0.15/0.46	  inference(avatar_split_clause,[],[f393,f268,f152,f206])).
0.15/0.46	tff(f206,definition,(
0.15/0.46	  spl9_23 <=> count(sF6) = count(sF5)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_23])],[avatar_definition])).
0.15/0.46	tff(f152,definition,(
0.15/0.46	  spl9_14 <=> in(sK1,sF6)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_14])],[avatar_definition])).
0.15/0.46	tff(f268,definition,(
0.15/0.46	  spl9_29 <=> add(sK1,sF6) = sF5),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_29])],[avatar_definition])).
0.15/0.46	tff(f393,plain,(
0.15/0.46	  count(sF6) != count(sF5) | (spl9_14 | ~spl9_29)),
0.15/0.46	  inference(subsumption_resolution,[],[f386,f154])).
0.15/0.46	tff(f154,plain,(
0.15/0.46	  ~in(sK1,sF6) | spl9_14),
0.15/0.46	  inference(avatar_component_clause,[],[f152])).
0.15/0.46	tff(f386,plain,(
0.15/0.46	  count(sF6) != count(sF5) | in(sK1,sF6) | ~spl9_29),
0.15/0.46	  inference(superposition,[],[f48,f270])).
0.15/0.46	tff(f270,plain,(
0.15/0.46	  add(sK1,sF6) = sF5 | ~spl9_29),
0.15/0.46	  inference(avatar_component_clause,[],[f268])).
0.15/0.46	tff(f48,plain,(
0.15/0.46	  ( ! [X0 : collection,X1 : $int] : (count(X0) != count(add(X1,X0)) | in(X1,X0)) )),
0.15/0.46	  inference(cnf_transformation,[],[f32])).
0.15/0.46	tff(f32,plain,(
0.15/0.46	  ! [X0 : collection,X1 : $int] : ((in(X1,X0) | count(X0) != count(add(X1,X0))) & (count(X0) = count(add(X1,X0)) | ~in(X1,X0)))),
0.15/0.46	  inference(nnf_transformation,[],[f28])).
0.15/0.46	tff(f28,plain,(
0.15/0.46	  ! [X0 : collection,X1 : $int] : (in(X1,X0) <=> count(X0) = count(add(X1,X0)))),
0.15/0.46	  inference(rectify,[],[f9])).
0.15/0.46	tff(f9,axiom,(
0.15/0.46	  ! [X17 : collection,X16 : $int] : (in(X16,X17) <=> count(add(X16,X17)) = count(X17))),
0.15/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.15/0.46	tff(f582,plain,(
0.15/0.46	  spl9_64 | spl9_14 | ~spl9_29),
0.15/0.46	  inference(avatar_split_clause,[],[f392,f268,f152,f579])).
0.15/0.46	tff(f579,definition,(
0.15/0.46	  spl9_64 <=> count(sF5) = $sum(count(sF6),1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_64])],[avatar_definition])).
0.15/0.46	tff(f392,plain,(
0.15/0.46	  count(sF5) = $sum(count(sF6),1) | (spl9_14 | ~spl9_29)),
0.15/0.46	  inference(subsumption_resolution,[],[f390,f154])).
0.15/0.46	tff(f390,plain,(
0.15/0.46	  in(sK1,sF6) | count(sF5) = $sum(count(sF6),1) | ~spl9_29),
0.15/0.46	  inference(superposition,[],[f65,f270])).
0.15/0.46	tff(f577,plain,(
0.15/0.46	  ~spl9_26 | ~spl9_4 | spl9_55),
0.15/0.46	  inference(avatar_split_clause,[],[f551,f506,f96,f235])).
0.15/0.46	tff(f551,plain,(
0.15/0.46	  ~in(0,sF6) | (~spl9_4 | spl9_55)),
0.15/0.46	  inference(resolution,[],[f508,f191])).
0.15/0.46	tff(f191,plain,(
0.15/0.46	  ( ! [X0 : $int] : (in(X0,sF5) | ~in(X0,sF6)) ) | ~spl9_4),
0.15/0.46	  inference(superposition,[],[f62,f98])).
0.15/0.46	tff(f508,plain,(
0.15/0.46	  ~in(0,sF5) | spl9_55),
0.15/0.46	  inference(avatar_component_clause,[],[f506])).
0.15/0.46	tff(f575,plain,(
0.15/0.46	  ~spl9_54 | ~spl9_2 | spl9_55),
0.15/0.46	  inference(avatar_split_clause,[],[f552,f506,f86,f499])).
0.15/0.46	tff(f86,definition,(
0.15/0.46	  spl9_2 <=> add(sK1,sK0) = sF5),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_2])],[avatar_definition])).
0.15/0.46	tff(f552,plain,(
0.15/0.46	  ~in(0,sK0) | (~spl9_2 | spl9_55)),
0.15/0.46	  inference(resolution,[],[f508,f188])).
0.15/0.46	tff(f188,plain,(
0.15/0.46	  ( ! [X0 : $int] : (in(X0,sF5) | ~in(X0,sK0)) ) | ~spl9_2),
0.15/0.46	  inference(superposition,[],[f55,f88])).
0.15/0.46	tff(f88,plain,(
0.15/0.46	  add(sK1,sK0) = sF5 | ~spl9_2),
0.15/0.46	  inference(avatar_component_clause,[],[f86])).
0.15/0.46	tff(f55,plain,(
0.15/0.46	  ( ! [X2 : collection,X0 : $int,X1 : $int] : (in(X0,add(X1,X2)) | ~in(X0,X2)) )),
0.15/0.46	  inference(cnf_transformation,[],[f38])).
0.15/0.46	tff(f38,plain,(
0.15/0.46	  ! [X0 : $int,X1 : $int,X2 : collection] : ((in(X0,X2) | X0 = X1 | ~in(X0,add(X1,X2))) & (in(X0,add(X1,X2)) | (~in(X0,X2) & X0 != X1)))),
0.15/0.46	  inference(rectify,[],[f37])).
0.15/0.46	tff(f37,plain,(
0.15/0.46	  ! [X0 : $int,X2 : $int,X1 : collection] : ((in(X0,X1) | X0 = X2 | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (~in(X0,X1) & X0 != X2)))),
0.15/0.46	  inference(flattening,[],[f36])).
0.15/0.46	tff(f36,plain,(
0.15/0.46	  ! [X0 : $int,X2 : $int,X1 : collection] : (((in(X0,X1) | X0 = X2) | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (~in(X0,X1) & X0 != X2)))),
0.15/0.46	  inference(nnf_transformation,[],[f19])).
0.15/0.46	tff(f19,plain,(
0.15/0.46	  ! [X0 : $int,X2 : $int,X1 : collection] : ((in(X0,X1) | X0 = X2) <=> in(X0,add(X2,X1)))),
0.15/0.46	  inference(rectify,[],[f2])).
0.15/0.46	tff(f2,axiom,(
0.15/0.46	  ! [X1 : $int,X2 : collection,X3 : $int] : (in(X1,add(X3,X2)) <=> (X1 = X3 | in(X1,X2)))),
0.15/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.15/0.46	tff(f574,plain,(
0.15/0.46	  spl9_63 | ~spl9_25 | ~spl9_33 | ~spl9_44),
0.15/0.46	  inference(avatar_split_clause,[],[f569,f435,f337,f231,f571])).
0.15/0.46	tff(f571,definition,(
0.15/0.46	  spl9_63 <=> $sum(sF4,-1) = $sum(count(sF5),-1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_63])],[avatar_definition])).
0.15/0.46	tff(f337,definition,(
0.15/0.46	  spl9_33 <=> count(sF6) = $sum(count(sF5),-1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_33])],[avatar_definition])).
0.15/0.46	tff(f569,plain,(
0.15/0.46	  $sum(sF4,-1) = $sum(count(sF5),-1) | (~spl9_25 | ~spl9_33 | ~spl9_44)),
0.15/0.46	  inference(forward_demodulation,[],[f561,f437])).
0.15/0.46	tff(f561,plain,(
0.15/0.46	  $sum(count(sF5),-1) = sF8 | (~spl9_25 | ~spl9_33)),
0.15/0.46	  inference(forward_demodulation,[],[f339,f233])).
0.15/0.46	tff(f233,plain,(
0.15/0.46	  count(sF6) = sF8 | ~spl9_25),
0.15/0.46	  inference(avatar_component_clause,[],[f231])).
0.15/0.46	tff(f339,plain,(
0.15/0.46	  count(sF6) = $sum(count(sF5),-1) | ~spl9_33),
0.15/0.46	  inference(avatar_component_clause,[],[f337])).
0.15/0.46	tff(f568,plain,(
0.15/0.46	  ~spl9_25 | spl9_43 | ~spl9_44),
0.15/0.46	  inference(avatar_contradiction_clause,[],[f567])).
0.15/0.46	tff(f567,plain,(
0.15/0.46	  $false | (~spl9_25 | spl9_43 | ~spl9_44)),
0.15/0.46	  inference(subsumption_resolution,[],[f556,f437])).
0.15/0.46	tff(f556,plain,(
0.15/0.46	  $sum(sF4,-1) != sF8 | (~spl9_25 | spl9_43)),
0.15/0.46	  inference(forward_demodulation,[],[f427,f233])).
0.15/0.46	tff(f427,plain,(
0.15/0.46	  count(sF6) != $sum(sF4,-1) | spl9_43),
0.15/0.46	  inference(avatar_component_clause,[],[f426])).
0.15/0.46	tff(f566,plain,(
0.15/0.46	  spl9_62 | ~spl9_22 | ~spl9_7),
0.15/0.46	  inference(avatar_split_clause,[],[f261,f111,f200,f563])).
0.15/0.46	tff(f563,definition,(
0.15/0.46	  spl9_62 <=> sK0 = add(sK1,sF2)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_62])],[avatar_definition])).
0.15/0.46	tff(f200,definition,(
0.15/0.46	  spl9_22 <=> in(sK1,sK0)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_22])],[avatar_definition])).
0.15/0.46	tff(f261,plain,(
0.15/0.46	  sK0 = add(sK1,sF2) | ~in(sK1,sK0) | ~spl9_7),
0.15/0.46	  inference(superposition,[],[f57,f113])).
0.15/0.46	tff(f57,plain,(
0.15/0.46	  ( ! [X0 : $int,X1 : collection] : (add(X0,remove(X0,X1)) = X1 | ~in(X0,X1)) )),
0.15/0.46	  inference(cnf_transformation,[],[f30])).
0.15/0.46	tff(f30,plain,(
0.15/0.46	  ! [X0 : $int,X1 : collection] : (~in(X0,X1) | add(X0,remove(X0,X1)) = X1)),
0.15/0.46	  inference(ennf_transformation,[],[f17])).
0.15/0.46	tff(f17,plain,(
0.15/0.46	  ! [X0 : $int,X1 : collection] : (in(X0,X1) => add(X0,remove(X0,X1)) = X1)),
0.15/0.46	  inference(rectify,[],[f11])).
0.15/0.46	tff(f11,axiom,(
0.15/0.46	  ! [X19 : $int,X20 : collection] : (in(X19,X20) => add(X19,remove(X19,X20)) = X20)),
0.15/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.15/0.46	tff(f560,plain,(
0.15/0.46	  ~spl9_22 | spl9_35 | ~spl9_7),
0.15/0.46	  inference(avatar_split_clause,[],[f328,f111,f360,f200])).
0.15/0.46	tff(f360,definition,(
0.15/0.46	  spl9_35 <=> count(sF2) = $sum(count(sK0),-1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_35])],[avatar_definition])).
0.15/0.46	tff(f328,plain,(
0.15/0.46	  ~in(sK1,sK0) | count(sF2) = $sum(count(sK0),-1) | ~spl9_7),
0.15/0.46	  inference(superposition,[],[f78,f113])).
0.15/0.46	tff(f78,plain,(
0.15/0.46	  ( ! [X0 : $int,X1 : collection] : (count(remove(X0,X1)) = $sum(count(X1),-1) | ~in(X0,X1)) )),
0.15/0.46	  inference(evaluation,[],[f51])).
0.15/0.46	tff(f51,plain,(
0.15/0.46	  ( ! [X0 : $int,X1 : collection] : (~in(X0,X1) | count(remove(X0,X1)) = $sum(count(X1),$uminus(1))) )),
0.15/0.46	  inference(cnf_transformation,[],[f34])).
0.15/0.46	tff(f34,plain,(
0.15/0.46	  ! [X0 : $int,X1 : collection] : ((in(X0,X1) | count(remove(X0,X1)) != $sum(count(X1),$uminus(1))) & (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)))),
0.15/0.46	  inference(nnf_transformation,[],[f26])).
0.15/0.46	tff(f26,plain,(
0.15/0.46	  ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(remove(X0,X1)) = $sum(count(X1),$uminus(1)))),
0.15/0.46	  inference(rectify,[],[f16])).
0.15/0.46	tff(f16,plain,(
0.15/0.46	  ! [X11 : $int,X12 : collection] : (in(X11,X12) <=> count(remove(X11,X12)) = $sum(count(X12),$uminus(1)))),
0.15/0.46	  inference(theory_normalization,[],[f6])).
0.15/0.46	tff(f6,axiom,(
0.15/0.46	  ! [X11 : $int,X12 : collection] : (in(X11,X12) <=> count(remove(X11,X12)) = $difference(count(X12),1))),
0.15/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.15/0.46	tff(f559,plain,(
0.15/0.46	  ~spl9_35 | spl9_22 | ~spl9_7),
0.15/0.46	  inference(avatar_split_clause,[],[f354,f111,f200,f360])).
0.15/0.46	tff(f354,plain,(
0.15/0.46	  count(sF2) != $sum(count(sK0),-1) | in(sK1,sK0) | ~spl9_7),
0.15/0.46	  inference(superposition,[],[f79,f113])).
0.15/0.46	tff(f79,plain,(
0.15/0.46	  ( ! [X0 : $int,X1 : collection] : (count(remove(X0,X1)) != $sum(count(X1),-1) | in(X0,X1)) )),
0.15/0.46	  inference(evaluation,[],[f52])).
0.15/0.46	tff(f52,plain,(
0.15/0.46	  ( ! [X0 : $int,X1 : collection] : (count(remove(X0,X1)) != $sum(count(X1),$uminus(1)) | in(X0,X1)) )),
0.15/0.46	  inference(cnf_transformation,[],[f34])).
0.15/0.46	tff(f558,plain,(
0.15/0.46	  spl9_22 | spl9_30 | ~spl9_2),
0.15/0.46	  inference(avatar_split_clause,[],[f282,f86,f298,f200])).
0.15/0.46	tff(f298,definition,(
0.15/0.46	  spl9_30 <=> $sum(count(sK0),1) = count(sF5)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_30])],[avatar_definition])).
0.15/0.46	tff(f282,plain,(
0.15/0.46	  $sum(count(sK0),1) = count(sF5) | in(sK1,sK0) | ~spl9_2),
0.15/0.46	  inference(superposition,[],[f65,f88])).
0.15/0.46	tff(f557,plain,(
0.15/0.46	  ~spl9_22 | ~spl9_30 | ~spl9_2),
0.15/0.46	  inference(avatar_split_clause,[],[f315,f86,f298,f200])).
0.15/0.46	tff(f315,plain,(
0.15/0.46	  $sum(count(sK0),1) != count(sF5) | ~in(sK1,sK0) | ~spl9_2),
0.15/0.46	  inference(superposition,[],[f66,f88])).
0.15/0.46	tff(f66,plain,(
0.15/0.46	  ( ! [X0 : collection,X1 : $int] : ($sum(count(X0),1) != count(add(X1,X0)) | ~in(X1,X0)) )),
0.15/0.46	  inference(cnf_transformation,[],[f44])).
0.15/0.46	tff(f555,plain,(
0.15/0.46	  ~spl9_24 | spl9_22 | ~spl9_2),
0.15/0.46	  inference(avatar_split_clause,[],[f250,f86,f200,f226])).
0.15/0.46	tff(f226,definition,(
0.15/0.46	  spl9_24 <=> count(sK0) = count(sF5)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_24])],[avatar_definition])).
0.15/0.46	tff(f250,plain,(
0.15/0.46	  count(sK0) != count(sF5) | in(sK1,sK0) | ~spl9_2),
0.15/0.46	  inference(superposition,[],[f48,f88])).
0.15/0.46	tff(f554,plain,(
0.15/0.46	  ~spl9_4 | ~spl9_26 | spl9_55),
0.15/0.46	  inference(avatar_contradiction_clause,[],[f553])).
0.15/0.46	tff(f553,plain,(
0.15/0.46	  $false | (~spl9_4 | ~spl9_26 | spl9_55)),
0.15/0.46	  inference(subsumption_resolution,[],[f551,f236])).
0.15/0.46	tff(f236,plain,(
0.15/0.46	  in(0,sF6) | ~spl9_26),
0.15/0.46	  inference(avatar_component_clause,[],[f235])).
0.15/0.46	tff(f550,plain,(
0.15/0.46	  spl9_61 | ~spl9_59 | ~spl9_9 | ~spl9_44),
0.15/0.46	  inference(avatar_split_clause,[],[f532,f435,f121,f537,f548])).
0.15/0.46	tff(f537,definition,(
0.15/0.46	  spl9_59 <=> $less($sum($sum(sF4,-1),1),0)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_59])],[avatar_definition])).
0.15/0.46	tff(f532,plain,(
0.15/0.46	  ( ! [X0 : $int] : (~$less($sum($sum(sF4,-1),1),0) | in(X0,sF7)) ) | (~spl9_9 | ~spl9_44)),
0.15/0.46	  inference(forward_demodulation,[],[f520,f437])).
0.15/0.46	tff(f546,plain,(
0.15/0.46	  spl9_58 | ~spl9_59 | ~spl9_25 | ~spl9_44),
0.15/0.46	  inference(avatar_split_clause,[],[f530,f435,f231,f537,f534])).
0.15/0.46	tff(f534,definition,(
0.15/0.46	  spl9_58 <=> ! [X0 : $int] : in(X0,sF6)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_58])],[avatar_definition])).
0.15/0.46	tff(f530,plain,(
0.15/0.46	  ( ! [X0 : $int] : (~$less($sum($sum(sF4,-1),1),0) | in(X0,sF6)) ) | (~spl9_25 | ~spl9_44)),
0.15/0.46	  inference(forward_demodulation,[],[f519,f437])).
0.15/0.46	tff(f519,plain,(
0.15/0.46	  ( ! [X0 : $int] : (in(X0,sF6) | ~$less($sum(sF8,1),0)) ) | ~spl9_25),
0.15/0.46	  inference(superposition,[],[f290,f233])).
0.15/0.46	tff(f545,plain,(
0.15/0.46	  ~spl9_56 | spl9_60 | ~spl9_42),
0.15/0.46	  inference(avatar_split_clause,[],[f517,f416,f543,f523])).
0.15/0.46	tff(f523,definition,(
0.15/0.46	  spl9_56 <=> $less($sum(sF4,1),0)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_56])],[avatar_definition])).
0.15/0.46	tff(f543,definition,(
0.15/0.46	  spl9_60 <=> ! [X0 : $int] : in(X0,sF5)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_60])],[avatar_definition])).
0.15/0.46	tff(f416,definition,(
0.15/0.46	  spl9_42 <=> sF4 = count(sF5)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_42])],[avatar_definition])).
0.15/0.46	tff(f517,plain,(
0.15/0.46	  ( ! [X0 : $int] : (~$less($sum(sF4,1),0) | in(X0,sF5)) ) | ~spl9_42),
0.15/0.46	  inference(superposition,[],[f290,f418])).
0.15/0.46	tff(f418,plain,(
0.15/0.46	  sF4 = count(sF5) | ~spl9_42),
0.15/0.46	  inference(avatar_component_clause,[],[f416])).
0.15/0.46	tff(f540,plain,(
0.15/0.46	  spl9_58 | ~spl9_59 | ~spl9_43),
0.15/0.46	  inference(avatar_split_clause,[],[f518,f426,f537,f534])).
0.15/0.46	tff(f518,plain,(
0.15/0.46	  ( ! [X0 : $int] : (~$less($sum($sum(sF4,-1),1),0) | in(X0,sF6)) ) | ~spl9_43),
0.15/0.46	  inference(superposition,[],[f290,f428])).
0.15/0.46	tff(f428,plain,(
0.15/0.46	  count(sF6) = $sum(sF4,-1) | ~spl9_43),
0.15/0.46	  inference(avatar_component_clause,[],[f426])).
0.15/0.46	tff(f529,plain,(
0.15/0.46	  ~spl9_56 | spl9_57 | ~spl9_8),
0.15/0.46	  inference(avatar_split_clause,[],[f516,f116,f527,f523])).
0.15/0.46	tff(f527,definition,(
0.15/0.46	  spl9_57 <=> ! [X0 : $int] : in(X0,sF3)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_57])],[avatar_definition])).
0.15/0.46	tff(f116,definition,(
0.15/0.46	  spl9_8 <=> sF4 = count(sF3)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_8])],[avatar_definition])).
0.15/0.46	tff(f516,plain,(
0.15/0.46	  ( ! [X0 : $int] : (~$less($sum(sF4,1),0) | in(X0,sF3)) ) | ~spl9_8),
0.15/0.46	  inference(superposition,[],[f290,f118])).
0.15/0.46	tff(f118,plain,(
0.15/0.46	  sF4 = count(sF3) | ~spl9_8),
0.15/0.46	  inference(avatar_component_clause,[],[f116])).
0.15/0.46	tff(f509,plain,(
0.15/0.46	  ~spl9_55 | spl9_51 | ~spl9_2 | spl9_54),
0.15/0.46	  inference(avatar_split_clause,[],[f503,f499,f86,f479,f506])).
0.15/0.46	tff(f503,plain,(
0.15/0.46	  0 = sK1 | ~in(0,sF5) | (~spl9_2 | spl9_54)),
0.15/0.46	  inference(resolution,[],[f501,f274])).
0.15/0.46	tff(f274,plain,(
0.15/0.46	  ( ! [X0 : $int] : (in(X0,sK0) | sK1 = X0 | ~in(X0,sF5)) ) | ~spl9_2),
0.15/0.46	  inference(superposition,[],[f56,f88])).
0.15/0.46	tff(f56,plain,(
0.15/0.46	  ( ! [X2 : collection,X0 : $int,X1 : $int] : (~in(X0,add(X1,X2)) | in(X0,X2) | X0 = X1) )),
0.15/0.46	  inference(cnf_transformation,[],[f38])).
0.15/0.46	tff(f502,plain,(
0.15/0.46	  spl9_51 | ~spl9_54 | ~spl9_7 | spl9_27),
0.15/0.46	  inference(avatar_split_clause,[],[f497,f240,f111,f499,f479])).
0.15/0.46	tff(f497,plain,(
0.15/0.46	  0 = sK1 | ~in(0,sK0) | (~spl9_7 | spl9_27)),
0.15/0.46	  inference(resolution,[],[f281,f242])).
0.15/0.46	tff(f242,plain,(
0.15/0.46	  ~in(0,sF2) | spl9_27),
0.15/0.46	  inference(avatar_component_clause,[],[f240])).
0.15/0.46	tff(f281,plain,(
0.15/0.46	  ( ! [X0 : $int] : (in(X0,sF2) | sK1 = X0 | ~in(X0,sK0)) ) | ~spl9_7),
0.15/0.46	  inference(superposition,[],[f64,f113])).
0.15/0.46	tff(f493,plain,(
0.15/0.46	  spl9_51 | ~spl9_53 | ~spl9_6 | spl9_14),
0.15/0.46	  inference(avatar_split_clause,[],[f488,f152,f106,f490,f479])).
0.15/0.46	tff(f490,definition,(
0.15/0.46	  spl9_53 <=> in(sK1,sF7)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_53])],[avatar_definition])).
0.15/0.46	tff(f106,definition,(
0.15/0.46	  spl9_6 <=> add(0,sF6) = sF7),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_6])],[avatar_definition])).
0.15/0.46	tff(f488,plain,(
0.15/0.46	  ~in(sK1,sF7) | 0 = sK1 | (~spl9_6 | spl9_14)),
0.15/0.46	  inference(resolution,[],[f276,f154])).
0.15/0.46	tff(f276,plain,(
0.15/0.46	  ( ! [X0 : $int] : (in(X0,sF6) | 0 = X0 | ~in(X0,sF7)) ) | ~spl9_6),
0.15/0.46	  inference(superposition,[],[f56,f108])).
0.15/0.46	tff(f108,plain,(
0.15/0.46	  add(0,sF6) = sF7 | ~spl9_6),
0.15/0.46	  inference(avatar_component_clause,[],[f106])).
0.15/0.46	tff(f486,plain,(
0.15/0.46	  spl9_51 | ~spl9_52 | ~spl9_3 | spl9_16),
0.15/0.46	  inference(avatar_split_clause,[],[f476,f164,f91,f483,f479])).
0.15/0.46	tff(f483,definition,(
0.15/0.46	  spl9_52 <=> in(sK1,sF3)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_52])],[avatar_definition])).
0.15/0.46	tff(f91,definition,(
0.15/0.46	  spl9_3 <=> sF3 = add(0,sF2)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_3])],[avatar_definition])).
0.15/0.46	tff(f164,definition,(
0.15/0.46	  spl9_16 <=> in(sK1,sF2)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_16])],[avatar_definition])).
0.15/0.46	tff(f476,plain,(
0.15/0.46	  ~in(sK1,sF3) | 0 = sK1 | (~spl9_3 | spl9_16)),
0.15/0.46	  inference(resolution,[],[f275,f166])).
0.15/0.46	tff(f166,plain,(
0.15/0.46	  ~in(sK1,sF2) | spl9_16),
0.15/0.46	  inference(avatar_component_clause,[],[f164])).
0.15/0.46	tff(f275,plain,(
0.15/0.46	  ( ! [X0 : $int] : (in(X0,sF2) | ~in(X0,sF3) | 0 = X0) ) | ~spl9_3),
0.15/0.46	  inference(superposition,[],[f56,f93])).
0.15/0.46	tff(f93,plain,(
0.15/0.46	  sF3 = add(0,sF2) | ~spl9_3),
0.15/0.46	  inference(avatar_component_clause,[],[f91])).
0.15/0.46	tff(f474,plain,(
0.15/0.46	  ~spl9_45 | spl9_11 | ~spl9_44),
0.15/0.46	  inference(avatar_split_clause,[],[f461,f435,f134,f440])).
0.15/0.46	tff(f440,definition,(
0.15/0.46	  spl9_45 <=> $less($sum(sF4,-1),0)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_45])],[avatar_definition])).
0.15/0.46	tff(f134,definition,(
0.15/0.46	  spl9_11 <=> $less(sF8,0)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_11])],[avatar_definition])).
0.15/0.46	tff(f461,plain,(
0.15/0.46	  ~$less($sum(sF4,-1),0) | (spl9_11 | ~spl9_44)),
0.15/0.46	  inference(superposition,[],[f136,f437])).
0.15/0.46	tff(f136,plain,(
0.15/0.46	  ~$less(sF8,0) | spl9_11),
0.15/0.46	  inference(avatar_component_clause,[],[f134])).
0.15/0.46	tff(f473,plain,(
0.15/0.46	  ~spl9_47 | spl9_20 | ~spl9_44),
0.15/0.46	  inference(avatar_split_clause,[],[f460,f435,f184,f449])).
0.15/0.46	tff(f449,definition,(
0.15/0.46	  spl9_47 <=> 0 = $sum(sF4,-1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_47])],[avatar_definition])).
0.15/0.46	tff(f184,definition,(
0.15/0.46	  spl9_20 <=> 0 = sF8),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_20])],[avatar_definition])).
0.15/0.46	tff(f460,plain,(
0.15/0.46	  0 != $sum(sF4,-1) | (spl9_20 | ~spl9_44)),
0.15/0.46	  inference(superposition,[],[f186,f437])).
0.15/0.46	tff(f186,plain,(
0.15/0.46	  0 != sF8 | spl9_20),
0.15/0.46	  inference(avatar_component_clause,[],[f184])).
0.15/0.46	tff(f472,plain,(
0.15/0.46	  ~spl9_50 | spl9_5 | ~spl9_44),
0.15/0.46	  inference(avatar_split_clause,[],[f462,f435,f101,f469])).
0.15/0.46	tff(f469,definition,(
0.15/0.46	  spl9_50 <=> sF4 = $sum(sF4,-1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_50])],[avatar_definition])).
0.15/0.46	tff(f101,definition,(
0.15/0.46	  spl9_5 <=> sF4 = sF8),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_5])],[avatar_definition])).
0.15/0.46	tff(f462,plain,(
0.15/0.46	  sF4 != $sum(sF4,-1) | (spl9_5 | ~spl9_44)),
0.15/0.46	  inference(superposition,[],[f103,f437])).
0.15/0.46	tff(f103,plain,(
0.15/0.46	  sF4 != sF8 | spl9_5),
0.15/0.46	  inference(avatar_component_clause,[],[f101])).
0.15/0.46	tff(f467,plain,(
0.15/0.46	  ~spl9_49 | spl9_40 | ~spl9_44),
0.15/0.46	  inference(avatar_split_clause,[],[f459,f435,f404,f464])).
0.15/0.46	tff(f464,definition,(
0.15/0.46	  spl9_49 <=> $sum(sF4,-1) = $sum($sum(sF4,-1),1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_49])],[avatar_definition])).
0.15/0.46	tff(f404,definition,(
0.15/0.46	  spl9_40 <=> sF8 = $sum(sF8,1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_40])],[avatar_definition])).
0.15/0.46	tff(f459,plain,(
0.15/0.46	  $sum(sF4,-1) != $sum($sum(sF4,-1),1) | (spl9_40 | ~spl9_44)),
0.15/0.46	  inference(superposition,[],[f406,f437])).
0.15/0.46	tff(f406,plain,(
0.15/0.46	  sF8 != $sum(sF8,1) | spl9_40),
0.15/0.46	  inference(avatar_component_clause,[],[f404])).
0.15/0.46	tff(f458,plain,(
0.15/0.46	  ~spl9_48 | ~spl9_21 | spl9_35),
0.15/0.46	  inference(avatar_split_clause,[],[f453,f360,f196,f455])).
0.15/0.46	tff(f455,definition,(
0.15/0.46	  spl9_48 <=> count(sK0) = $sum(count(sK0),-1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_48])],[avatar_definition])).
0.15/0.46	tff(f196,definition,(
0.15/0.46	  spl9_21 <=> count(sK0) = count(sF2)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_21])],[avatar_definition])).
0.15/0.46	tff(f453,plain,(
0.15/0.46	  count(sK0) != $sum(count(sK0),-1) | (~spl9_21 | spl9_35)),
0.15/0.46	  inference(forward_demodulation,[],[f362,f197])).
0.15/0.46	tff(f197,plain,(
0.15/0.46	  count(sK0) = count(sF2) | ~spl9_21),
0.15/0.46	  inference(avatar_component_clause,[],[f196])).
0.15/0.46	tff(f362,plain,(
0.15/0.46	  count(sF2) != $sum(count(sK0),-1) | spl9_35),
0.15/0.46	  inference(avatar_component_clause,[],[f360])).
0.15/0.46	tff(f452,plain,(
0.15/0.46	  spl9_46 | ~spl9_47 | ~spl9_43),
0.15/0.46	  inference(avatar_split_clause,[],[f432,f426,f449,f445])).
0.15/0.46	tff(f445,definition,(
0.15/0.46	  spl9_46 <=> empty = sF6),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_46])],[avatar_definition])).
0.15/0.46	tff(f432,plain,(
0.15/0.46	  0 != $sum(sF4,-1) | empty = sF6 | ~spl9_43),
0.15/0.46	  inference(superposition,[],[f50,f428])).
0.15/0.46	tff(f50,plain,(
0.15/0.46	  ( ! [X0 : collection] : (0 != count(X0) | empty = X0) )),
0.15/0.46	  inference(cnf_transformation,[],[f33])).
0.15/0.46	tff(f33,plain,(
0.15/0.46	  ! [X0 : collection] : ((empty = X0 | 0 != count(X0)) & (0 = count(X0) | empty != X0))),
0.15/0.46	  inference(nnf_transformation,[],[f22])).
0.15/0.46	tff(f22,plain,(
0.15/0.46	  ! [X0 : collection] : (empty = X0 <=> 0 = count(X0))),
0.15/0.46	  inference(rectify,[],[f10])).
0.15/0.46	tff(f10,axiom,(
0.15/0.46	  ! [X18 : collection] : (0 = count(X18) <=> empty = X18)),
0.15/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.15/0.46	tff(f443,plain,(
0.15/0.46	  ~spl9_45 | ~spl9_43),
0.15/0.46	  inference(avatar_split_clause,[],[f433,f426,f440])).
0.15/0.46	tff(f433,plain,(
0.15/0.46	  ~$less($sum(sF4,-1),0) | ~spl9_43),
0.15/0.46	  inference(superposition,[],[f58,f428])).
0.15/0.46	tff(f438,plain,(
0.15/0.46	  spl9_44 | ~spl9_25 | ~spl9_43),
0.15/0.46	  inference(avatar_split_clause,[],[f430,f426,f231,f435])).
0.15/0.46	tff(f430,plain,(
0.15/0.46	  $sum(sF4,-1) = sF8 | (~spl9_25 | ~spl9_43)),
0.15/0.46	  inference(superposition,[],[f428,f233])).
0.15/0.46	tff(f429,plain,(
0.15/0.46	  spl9_43 | ~spl9_33 | ~spl9_42),
0.15/0.46	  inference(avatar_split_clause,[],[f424,f416,f337,f426])).
0.15/0.46	tff(f424,plain,(
0.15/0.46	  count(sF6) = $sum(sF4,-1) | (~spl9_33 | ~spl9_42)),
0.15/0.46	  inference(forward_demodulation,[],[f339,f418])).
0.15/0.46	tff(f419,plain,(
0.15/0.46	  spl9_42 | ~spl9_30 | ~spl9_41),
0.15/0.46	  inference(avatar_split_clause,[],[f414,f410,f298,f416])).
0.15/0.46	tff(f410,definition,(
0.15/0.46	  spl9_41 <=> sF4 = $sum(count(sK0),1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_41])],[avatar_definition])).
0.15/0.46	tff(f414,plain,(
0.15/0.46	  sF4 = count(sF5) | (~spl9_30 | ~spl9_41)),
0.15/0.46	  inference(forward_demodulation,[],[f300,f412])).
0.15/0.46	tff(f412,plain,(
0.15/0.46	  sF4 = $sum(count(sK0),1) | ~spl9_41),
0.15/0.46	  inference(avatar_component_clause,[],[f410])).
0.15/0.46	tff(f300,plain,(
0.15/0.46	  $sum(count(sK0),1) = count(sF5) | ~spl9_30),
0.15/0.46	  inference(avatar_component_clause,[],[f298])).
0.15/0.46	tff(f413,plain,(
0.15/0.46	  spl9_41 | ~spl9_21 | ~spl9_32),
0.15/0.46	  inference(avatar_split_clause,[],[f408,f309,f196,f410])).
0.15/0.46	tff(f309,definition,(
0.15/0.46	  spl9_32 <=> sF4 = $sum(count(sF2),1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_32])],[avatar_definition])).
0.15/0.46	tff(f408,plain,(
0.15/0.46	  sF4 = $sum(count(sK0),1) | (~spl9_21 | ~spl9_32)),
0.15/0.46	  inference(forward_demodulation,[],[f311,f197])).
0.15/0.46	tff(f311,plain,(
0.15/0.46	  sF4 = $sum(count(sF2),1) | ~spl9_32),
0.15/0.46	  inference(avatar_component_clause,[],[f309])).
0.15/0.46	tff(f407,plain,(
0.15/0.46	  ~spl9_40 | ~spl9_25 | spl9_31),
0.15/0.46	  inference(avatar_split_clause,[],[f402,f304,f231,f404])).
0.15/0.46	tff(f402,plain,(
0.15/0.46	  sF8 != $sum(sF8,1) | (~spl9_25 | spl9_31)),
0.15/0.46	  inference(forward_demodulation,[],[f305,f233])).
0.15/0.46	tff(f305,plain,(
0.15/0.46	  sF8 != $sum(count(sF6),1) | spl9_31),
0.15/0.46	  inference(avatar_component_clause,[],[f304])).
0.15/0.46	tff(f400,plain,(
0.15/0.46	  spl9_39 | spl9_14 | ~spl9_25 | ~spl9_29),
0.15/0.46	  inference(avatar_split_clause,[],[f394,f268,f231,f152,f397])).
0.15/0.46	tff(f397,definition,(
0.15/0.46	  spl9_39 <=> count(sF5) = $sum(sF8,1)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_39])],[avatar_definition])).
0.15/0.46	tff(f394,plain,(
0.15/0.46	  count(sF5) = $sum(sF8,1) | (spl9_14 | ~spl9_25 | ~spl9_29)),
0.15/0.46	  inference(forward_demodulation,[],[f392,f233])).
0.15/0.46	tff(f384,plain,(
0.15/0.46	  ~spl9_38 | spl9_23 | ~spl9_25),
0.15/0.46	  inference(avatar_split_clause,[],[f379,f231,f206,f381])).
0.15/0.46	tff(f381,definition,(
0.15/0.46	  spl9_38 <=> count(sF5) = sF8),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_38])],[avatar_definition])).
0.15/0.46	tff(f379,plain,(
0.15/0.46	  count(sF5) != sF8 | (spl9_23 | ~spl9_25)),
0.15/0.46	  inference(forward_demodulation,[],[f208,f233])).
0.15/0.46	tff(f208,plain,(
0.15/0.46	  count(sF6) != count(sF5) | spl9_23),
0.15/0.46	  inference(avatar_component_clause,[],[f206])).
0.15/0.46	tff(f378,plain,(
0.15/0.46	  ~spl9_34 | ~spl9_21 | spl9_28),
0.15/0.46	  inference(avatar_split_clause,[],[f366,f244,f196,f343])).
0.15/0.46	tff(f343,definition,(
0.15/0.46	  spl9_34 <=> sF4 = count(sK0)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_34])],[avatar_definition])).
0.15/0.46	tff(f244,definition,(
0.15/0.46	  spl9_28 <=> sF4 = count(sF2)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_28])],[avatar_definition])).
0.15/0.46	tff(f366,plain,(
0.15/0.46	  sF4 != count(sK0) | (~spl9_21 | spl9_28)),
0.15/0.46	  inference(superposition,[],[f245,f197])).
0.15/0.46	tff(f245,plain,(
0.15/0.46	  sF4 != count(sF2) | spl9_28),
0.15/0.46	  inference(avatar_component_clause,[],[f244])).
0.15/0.46	tff(f377,plain,(
0.15/0.46	  spl9_36 | ~spl9_37 | ~spl9_21),
0.15/0.46	  inference(avatar_split_clause,[],[f367,f196,f374,f370])).
0.15/0.46	tff(f370,definition,(
0.15/0.46	  spl9_36 <=> empty = sF2),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_36])],[avatar_definition])).
0.15/0.46	tff(f374,definition,(
0.15/0.46	  spl9_37 <=> 0 = count(sK0)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_37])],[avatar_definition])).
0.15/0.46	tff(f367,plain,(
0.15/0.46	  0 != count(sK0) | empty = sF2 | ~spl9_21),
0.15/0.46	  inference(superposition,[],[f50,f197])).
0.15/0.46	tff(f363,plain,(
0.15/0.46	  ~spl9_35 | ~spl9_7 | spl9_22),
0.15/0.46	  inference(avatar_split_clause,[],[f358,f200,f111,f360])).
0.15/0.46	tff(f358,plain,(
0.15/0.46	  count(sF2) != $sum(count(sK0),-1) | (~spl9_7 | spl9_22)),
0.15/0.46	  inference(subsumption_resolution,[],[f354,f202])).
0.15/0.46	tff(f202,plain,(
0.15/0.46	  ~in(sK1,sK0) | spl9_22),
0.15/0.46	  inference(avatar_component_clause,[],[f200])).
0.15/0.46	tff(f352,plain,(
0.15/0.46	  ~spl9_27 | ~spl9_32 | ~spl9_3 | ~spl9_8),
0.15/0.46	  inference(avatar_split_clause,[],[f349,f116,f91,f309,f240])).
0.15/0.46	tff(f349,plain,(
0.15/0.46	  sF4 != $sum(count(sF2),1) | ~in(0,sF2) | (~spl9_3 | ~spl9_8)),
0.15/0.46	  inference(forward_demodulation,[],[f316,f118])).
0.15/0.46	tff(f316,plain,(
0.15/0.46	  $sum(count(sF2),1) != count(sF3) | ~in(0,sF2) | ~spl9_3),
0.15/0.46	  inference(superposition,[],[f66,f93])).
0.15/0.46	tff(f351,plain,(
0.15/0.46	  spl9_26 | spl9_31 | ~spl9_6 | ~spl9_9),
0.15/0.46	  inference(avatar_split_clause,[],[f348,f121,f106,f304,f235])).
0.15/0.46	tff(f348,plain,(
0.15/0.46	  sF8 = $sum(count(sF6),1) | in(0,sF6) | (~spl9_6 | ~spl9_9)),
0.15/0.46	  inference(forward_demodulation,[],[f284,f123])).
0.15/0.46	tff(f284,plain,(
0.15/0.46	  in(0,sF6) | count(sF7) = $sum(count(sF6),1) | ~spl9_6),
0.15/0.46	  inference(superposition,[],[f65,f108])).
0.15/0.46	tff(f350,plain,(
0.15/0.46	  ~spl9_31 | ~spl9_26 | ~spl9_6 | ~spl9_9),
0.15/0.46	  inference(avatar_split_clause,[],[f347,f121,f106,f235,f304])).
0.15/0.46	tff(f347,plain,(
0.15/0.46	  ~in(0,sF6) | sF8 != $sum(count(sF6),1) | (~spl9_6 | ~spl9_9)),
0.15/0.46	  inference(forward_demodulation,[],[f317,f123])).
0.15/0.46	tff(f317,plain,(
0.15/0.46	  count(sF7) != $sum(count(sF6),1) | ~in(0,sF6) | ~spl9_6),
0.15/0.46	  inference(superposition,[],[f66,f108])).
0.15/0.46	tff(f346,plain,(
0.15/0.46	  spl9_34 | ~spl9_21 | ~spl9_28),
0.15/0.46	  inference(avatar_split_clause,[],[f341,f244,f196,f343])).
0.15/0.46	tff(f341,plain,(
0.15/0.46	  sF4 = count(sK0) | (~spl9_21 | ~spl9_28)),
0.15/0.46	  inference(forward_demodulation,[],[f197,f246])).
0.15/0.46	tff(f246,plain,(
0.15/0.46	  sF4 = count(sF2) | ~spl9_28),
0.15/0.46	  inference(avatar_component_clause,[],[f244])).
0.15/0.46	tff(f340,plain,(
0.15/0.46	  spl9_33 | ~spl9_4 | ~spl9_12),
0.15/0.46	  inference(avatar_split_clause,[],[f335,f140,f96,f337])).
0.15/0.46	tff(f140,definition,(
0.15/0.46	  spl9_12 <=> in(sK1,sF5)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_12])],[avatar_definition])).
0.15/0.46	tff(f335,plain,(
0.15/0.46	  count(sF6) = $sum(count(sF5),-1) | (~spl9_4 | ~spl9_12)),
0.15/0.46	  inference(subsumption_resolution,[],[f327,f142])).
0.15/0.46	tff(f142,plain,(
0.15/0.46	  in(sK1,sF5) | ~spl9_12),
0.15/0.46	  inference(avatar_component_clause,[],[f140])).
0.15/0.46	tff(f327,plain,(
0.15/0.46	  ~in(sK1,sF5) | count(sF6) = $sum(count(sF5),-1) | ~spl9_4),
0.15/0.46	  inference(superposition,[],[f78,f98])).
0.15/0.46	tff(f324,plain,(
0.15/0.46	  ~spl9_32 | ~spl9_3 | ~spl9_8 | ~spl9_27),
0.15/0.46	  inference(avatar_split_clause,[],[f323,f240,f116,f91,f309])).
0.15/0.46	tff(f323,plain,(
0.15/0.46	  sF4 != $sum(count(sF2),1) | (~spl9_3 | ~spl9_8 | ~spl9_27)),
0.15/0.46	  inference(forward_demodulation,[],[f322,f118])).
0.15/0.46	tff(f322,plain,(
0.15/0.46	  $sum(count(sF2),1) != count(sF3) | (~spl9_3 | ~spl9_27)),
0.15/0.46	  inference(subsumption_resolution,[],[f316,f241])).
0.15/0.46	tff(f241,plain,(
0.15/0.46	  in(0,sF2) | ~spl9_27),
0.15/0.46	  inference(avatar_component_clause,[],[f240])).
0.15/0.46	tff(f314,plain,(
0.15/0.46	  spl9_27 | spl9_32 | ~spl9_3 | ~spl9_8),
0.15/0.46	  inference(avatar_split_clause,[],[f313,f116,f91,f309,f240])).
0.15/0.46	tff(f313,plain,(
0.15/0.46	  in(0,sF2) | sF4 = $sum(count(sF2),1) | (~spl9_3 | ~spl9_8)),
0.15/0.46	  inference(forward_demodulation,[],[f283,f118])).
0.15/0.46	tff(f283,plain,(
0.15/0.46	  $sum(count(sF2),1) = count(sF3) | in(0,sF2) | ~spl9_3),
0.15/0.46	  inference(superposition,[],[f65,f93])).
0.15/0.46	tff(f312,plain,(
0.15/0.46	  spl9_32 | ~spl9_3 | ~spl9_8 | spl9_27),
0.15/0.46	  inference(avatar_split_clause,[],[f302,f240,f116,f91,f309])).
0.15/0.46	tff(f302,plain,(
0.15/0.46	  sF4 = $sum(count(sF2),1) | (~spl9_3 | ~spl9_8 | spl9_27)),
0.15/0.46	  inference(forward_demodulation,[],[f295,f118])).
0.15/0.46	tff(f295,plain,(
0.15/0.46	  $sum(count(sF2),1) = count(sF3) | (~spl9_3 | spl9_27)),
0.15/0.46	  inference(subsumption_resolution,[],[f283,f242])).
0.15/0.46	tff(f307,plain,(
0.15/0.46	  spl9_31 | ~spl9_6 | ~spl9_9 | spl9_26),
0.15/0.46	  inference(avatar_split_clause,[],[f296,f235,f121,f106,f304])).
0.15/0.46	tff(f296,plain,(
0.15/0.46	  sF8 = $sum(count(sF6),1) | (~spl9_6 | ~spl9_9 | spl9_26)),
0.15/0.46	  inference(forward_demodulation,[],[f292,f123])).
0.15/0.46	tff(f292,plain,(
0.15/0.46	  count(sF7) = $sum(count(sF6),1) | (~spl9_6 | spl9_26)),
0.15/0.46	  inference(subsumption_resolution,[],[f284,f237])).
0.15/0.46	tff(f301,plain,(
0.15/0.46	  spl9_30 | ~spl9_2 | spl9_22),
0.15/0.46	  inference(avatar_split_clause,[],[f293,f200,f86,f298])).
0.15/0.46	tff(f293,plain,(
0.15/0.46	  $sum(count(sK0),1) = count(sF5) | (~spl9_2 | spl9_22)),
0.15/0.46	  inference(subsumption_resolution,[],[f282,f202])).
0.15/0.46	tff(f271,plain,(
0.15/0.46	  spl9_29 | ~spl9_4 | ~spl9_12),
0.15/0.46	  inference(avatar_split_clause,[],[f266,f140,f96,f268])).
0.15/0.46	tff(f266,plain,(
0.15/0.46	  add(sK1,sF6) = sF5 | (~spl9_4 | ~spl9_12)),
0.15/0.46	  inference(subsumption_resolution,[],[f260,f142])).
0.15/0.46	tff(f260,plain,(
0.15/0.46	  ~in(sK1,sF5) | add(sK1,sF6) = sF5 | ~spl9_4),
0.15/0.46	  inference(superposition,[],[f57,f98])).
0.15/0.46	tff(f259,plain,(
0.15/0.46	  ~spl9_24 | ~spl9_2 | spl9_22),
0.15/0.46	  inference(avatar_split_clause,[],[f256,f200,f86,f226])).
0.15/0.46	tff(f256,plain,(
0.15/0.46	  count(sK0) != count(sF5) | (~spl9_2 | spl9_22)),
0.15/0.46	  inference(subsumption_resolution,[],[f250,f202])).
0.15/0.46	tff(f258,plain,(
0.15/0.46	  ~spl9_25 | spl9_26 | ~spl9_6 | ~spl9_9),
0.15/0.46	  inference(avatar_split_clause,[],[f255,f121,f106,f235,f231])).
0.15/0.46	tff(f255,plain,(
0.15/0.46	  count(sF6) != sF8 | in(0,sF6) | (~spl9_6 | ~spl9_9)),
0.15/0.46	  inference(forward_demodulation,[],[f252,f123])).
0.15/0.46	tff(f252,plain,(
0.15/0.46	  count(sF6) != count(sF7) | in(0,sF6) | ~spl9_6),
0.15/0.46	  inference(superposition,[],[f48,f108])).
0.15/0.46	tff(f257,plain,(
0.15/0.46	  spl9_27 | ~spl9_28 | ~spl9_3 | ~spl9_8),
0.15/0.46	  inference(avatar_split_clause,[],[f254,f116,f91,f244,f240])).
0.15/0.46	tff(f254,plain,(
0.15/0.46	  in(0,sF2) | sF4 != count(sF2) | (~spl9_3 | ~spl9_8)),
0.15/0.46	  inference(forward_demodulation,[],[f251,f118])).
0.15/0.46	tff(f251,plain,(
0.15/0.46	  count(sF2) != count(sF3) | in(0,sF2) | ~spl9_3),
0.15/0.46	  inference(superposition,[],[f48,f93])).
0.15/0.46	tff(f249,plain,(
0.15/0.46	  spl9_24 | ~spl9_22 | ~spl9_2),
0.15/0.46	  inference(avatar_split_clause,[],[f217,f86,f200,f226])).
0.15/0.46	tff(f217,plain,(
0.15/0.46	  count(sK0) = count(sF5) | ~in(sK1,sK0) | ~spl9_2),
0.15/0.46	  inference(superposition,[],[f47,f88])).
0.15/0.46	tff(f47,plain,(
0.15/0.46	  ( ! [X0 : collection,X1 : $int] : (count(X0) = count(add(X1,X0)) | ~in(X1,X0)) )),
0.15/0.46	  inference(cnf_transformation,[],[f32])).
0.15/0.46	tff(f248,plain,(
0.15/0.46	  spl9_21 | spl9_22 | ~spl9_7),
0.15/0.46	  inference(avatar_split_clause,[],[f211,f111,f200,f196])).
0.15/0.46	tff(f211,plain,(
0.15/0.46	  in(sK1,sK0) | count(sK0) = count(sF2) | ~spl9_7),
0.15/0.46	  inference(superposition,[],[f46,f113])).
0.15/0.46	tff(f46,plain,(
0.15/0.46	  ( ! [X0 : collection,X1 : $int] : (count(remove(X1,X0)) = count(X0) | in(X1,X0)) )),
0.15/0.46	  inference(cnf_transformation,[],[f31])).
0.15/0.46	tff(f31,plain,(
0.15/0.46	  ! [X0 : collection,X1 : $int] : ((count(remove(X1,X0)) = count(X0) | in(X1,X0)) & (~in(X1,X0) | count(remove(X1,X0)) != count(X0)))),
0.15/0.46	  inference(nnf_transformation,[],[f27])).
0.15/0.46	tff(f27,plain,(
0.15/0.46	  ! [X0 : collection,X1 : $int] : (count(remove(X1,X0)) = count(X0) <=> ~in(X1,X0))),
0.15/0.46	  inference(rectify,[],[f7])).
0.15/0.46	tff(f7,axiom,(
0.15/0.46	  ! [X14 : collection,X13 : $int] : (~in(X13,X14) <=> count(remove(X13,X14)) = count(X14))),
0.15/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.15/0.46	tff(f247,plain,(
0.15/0.46	  ~spl9_27 | spl9_28 | ~spl9_3 | ~spl9_8),
0.15/0.46	  inference(avatar_split_clause,[],[f224,f116,f91,f244,f240])).
0.15/0.46	tff(f224,plain,(
0.15/0.46	  sF4 = count(sF2) | ~in(0,sF2) | (~spl9_3 | ~spl9_8)),
0.15/0.46	  inference(forward_demodulation,[],[f218,f118])).
0.15/0.46	tff(f218,plain,(
0.15/0.46	  count(sF2) = count(sF3) | ~in(0,sF2) | ~spl9_3),
0.15/0.46	  inference(superposition,[],[f47,f93])).
0.15/0.46	tff(f238,plain,(
0.15/0.46	  spl9_25 | ~spl9_26 | ~spl9_6 | ~spl9_9),
0.15/0.46	  inference(avatar_split_clause,[],[f223,f121,f106,f235,f231])).
0.15/0.46	tff(f223,plain,(
0.15/0.46	  count(sF6) = sF8 | ~in(0,sF6) | (~spl9_6 | ~spl9_9)),
0.15/0.46	  inference(forward_demodulation,[],[f219,f123])).
0.15/0.46	tff(f219,plain,(
0.15/0.46	  count(sF6) = count(sF7) | ~in(0,sF6) | ~spl9_6),
0.15/0.46	  inference(superposition,[],[f47,f108])).
0.15/0.46	tff(f229,plain,(
0.15/0.46	  spl9_24 | ~spl9_2 | ~spl9_22),
0.15/0.46	  inference(avatar_split_clause,[],[f222,f200,f86,f226])).
0.15/0.46	tff(f222,plain,(
0.15/0.46	  count(sK0) = count(sF5) | (~spl9_2 | ~spl9_22)),
0.15/0.46	  inference(subsumption_resolution,[],[f217,f201])).
0.15/0.46	tff(f201,plain,(
0.15/0.46	  in(sK1,sK0) | ~spl9_22),
0.15/0.46	  inference(avatar_component_clause,[],[f200])).
0.15/0.46	tff(f216,plain,(
0.15/0.46	  spl9_22 | ~spl9_7 | spl9_21),
0.15/0.46	  inference(avatar_split_clause,[],[f215,f196,f111,f200])).
0.15/0.46	tff(f215,plain,(
0.15/0.46	  in(sK1,sK0) | (~spl9_7 | spl9_21)),
0.15/0.46	  inference(subsumption_resolution,[],[f211,f198])).
0.15/0.46	tff(f198,plain,(
0.15/0.46	  count(sK0) != count(sF2) | spl9_21),
0.15/0.46	  inference(avatar_component_clause,[],[f196])).
0.15/0.46	tff(f209,plain,(
0.15/0.46	  ~spl9_23 | ~spl9_4 | ~spl9_12),
0.15/0.46	  inference(avatar_split_clause,[],[f204,f140,f96,f206])).
0.15/0.46	tff(f204,plain,(
0.15/0.46	  count(sF6) != count(sF5) | (~spl9_4 | ~spl9_12)),
0.15/0.46	  inference(subsumption_resolution,[],[f193,f142])).
0.15/0.46	tff(f193,plain,(
0.15/0.46	  ~in(sK1,sF5) | count(sF6) != count(sF5) | ~spl9_4),
0.15/0.46	  inference(superposition,[],[f45,f98])).
0.15/0.46	tff(f45,plain,(
0.15/0.46	  ( ! [X0 : collection,X1 : $int] : (count(remove(X1,X0)) != count(X0) | ~in(X1,X0)) )),
0.15/0.46	  inference(cnf_transformation,[],[f31])).
0.15/0.46	tff(f203,plain,(
0.15/0.46	  ~spl9_21 | ~spl9_22 | ~spl9_7),
0.15/0.46	  inference(avatar_split_clause,[],[f194,f111,f200,f196])).
0.15/0.46	tff(f194,plain,(
0.15/0.46	  ~in(sK1,sK0) | count(sK0) != count(sF2) | ~spl9_7),
0.15/0.46	  inference(superposition,[],[f45,f113])).
0.15/0.46	tff(f187,plain,(
0.15/0.46	  spl9_19 | ~spl9_20 | ~spl9_9),
0.15/0.46	  inference(avatar_split_clause,[],[f169,f121,f184,f180])).
0.15/0.46	tff(f180,definition,(
0.15/0.46	  spl9_19 <=> empty = sF7),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_19])],[avatar_definition])).
0.15/0.46	tff(f169,plain,(
0.15/0.46	  empty = sF7 | 0 != sF8 | ~spl9_9),
0.15/0.46	  inference(superposition,[],[f50,f123])).
0.15/0.46	tff(f178,plain,(
0.15/0.46	  ~spl9_17 | spl9_18 | ~spl9_8),
0.15/0.46	  inference(avatar_split_clause,[],[f168,f116,f175,f171])).
0.15/0.46	tff(f171,definition,(
0.15/0.46	  spl9_17 <=> 0 = sF4),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_17])],[avatar_definition])).
0.15/0.46	tff(f175,definition,(
0.15/0.46	  spl9_18 <=> empty = sF3),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_18])],[avatar_definition])).
0.15/0.46	tff(f168,plain,(
0.15/0.46	  empty = sF3 | 0 != sF4 | ~spl9_8),
0.15/0.46	  inference(superposition,[],[f50,f118])).
0.15/0.46	tff(f167,plain,(
0.15/0.46	  ~spl9_16 | ~spl9_7),
0.15/0.46	  inference(avatar_split_clause,[],[f162,f111,f164])).
0.15/0.46	tff(f162,plain,(
0.15/0.46	  ~in(sK1,sF2) | ~spl9_7),
0.15/0.46	  inference(superposition,[],[f61,f113])).
0.15/0.46	tff(f61,plain,(
0.15/0.46	  ( ! [X0 : collection,X1 : $int] : (~in(X1,remove(X1,X0))) )),
0.15/0.46	  inference(cnf_transformation,[],[f20])).
0.15/0.46	tff(f20,plain,(
0.15/0.46	  ! [X0 : collection,X1 : $int] : ~in(X1,remove(X1,X0))),
0.15/0.46	  inference(rectify,[],[f5])).
0.15/0.46	tff(f5,axiom,(
0.15/0.46	  ! [X10 : collection,X9 : $int] : ~in(X9,remove(X9,X10))),
0.15/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.15/0.46	tff(f161,plain,(
0.15/0.46	  spl9_15 | ~spl9_6),
0.15/0.46	  inference(avatar_split_clause,[],[f156,f106,f158])).
0.15/0.46	tff(f158,definition,(
0.15/0.46	  spl9_15 <=> in(0,sF7)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_15])],[avatar_definition])).
0.15/0.46	tff(f156,plain,(
0.15/0.46	  in(0,sF7) | ~spl9_6),
0.15/0.46	  inference(superposition,[],[f53,f108])).
0.15/0.46	tff(f53,plain,(
0.15/0.46	  ( ! [X0 : collection,X1 : $int] : (in(X1,add(X1,X0))) )),
0.15/0.46	  inference(cnf_transformation,[],[f35])).
0.15/0.46	tff(f35,plain,(
0.15/0.46	  ! [X0 : collection,X1 : $int] : in(X1,add(X1,X0))),
0.15/0.46	  inference(rectify,[],[f24])).
0.15/0.46	tff(f24,plain,(
0.15/0.46	  ! [X1 : collection,X0 : $int] : in(X0,add(X0,X1))),
0.15/0.46	  inference(rectify,[],[f4])).
0.15/0.46	tff(f4,axiom,(
0.15/0.46	  ! [X7 : $int,X8 : collection] : in(X7,add(X7,X8))),
0.15/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.15/0.46	tff(f155,plain,(
0.15/0.46	  ~spl9_14 | ~spl9_4),
0.15/0.46	  inference(avatar_split_clause,[],[f150,f96,f152])).
0.15/0.46	tff(f150,plain,(
0.15/0.46	  ~in(sK1,sF6) | ~spl9_4),
0.15/0.46	  inference(superposition,[],[f61,f98])).
0.15/0.46	tff(f149,plain,(
0.15/0.46	  spl9_13 | ~spl9_3),
0.15/0.46	  inference(avatar_split_clause,[],[f144,f91,f146])).
0.15/0.46	tff(f146,definition,(
0.15/0.46	  spl9_13 <=> in(0,sF3)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_13])],[avatar_definition])).
0.15/0.46	tff(f144,plain,(
0.15/0.46	  in(0,sF3) | ~spl9_3),
0.15/0.46	  inference(superposition,[],[f53,f93])).
0.15/0.46	tff(f143,plain,(
0.15/0.46	  spl9_12 | ~spl9_2),
0.15/0.46	  inference(avatar_split_clause,[],[f138,f86,f140])).
0.15/0.46	tff(f138,plain,(
0.15/0.46	  in(sK1,sF5) | ~spl9_2),
0.15/0.46	  inference(superposition,[],[f53,f88])).
0.15/0.46	tff(f137,plain,(
0.15/0.46	  ~spl9_11 | ~spl9_9),
0.15/0.46	  inference(avatar_split_clause,[],[f132,f121,f134])).
0.15/0.46	tff(f132,plain,(
0.15/0.46	  ~$less(sF8,0) | ~spl9_9),
0.15/0.46	  inference(superposition,[],[f58,f123])).
0.15/0.46	tff(f131,plain,(
0.15/0.46	  ~spl9_10 | ~spl9_8),
0.15/0.46	  inference(avatar_split_clause,[],[f126,f116,f128])).
0.15/0.46	tff(f128,definition,(
0.15/0.46	  spl9_10 <=> $less(sF4,0)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_10])],[avatar_definition])).
0.15/0.46	tff(f126,plain,(
0.15/0.46	  ~$less(sF4,0) | ~spl9_8),
0.15/0.46	  inference(superposition,[],[f58,f118])).
0.15/0.46	tff(f124,plain,(
0.15/0.46	  spl9_9),
0.15/0.46	  inference(avatar_split_clause,[],[f76,f121])).
0.15/0.46	tff(f76,definition,(
0.15/0.46	  count(sF7) = sF8),
0.15/0.46	  introduced(definition,[new_symbols(definition,[sF8])],[function_definition])).
0.15/0.46	tff(f119,plain,(
0.15/0.46	  spl9_8),
0.15/0.46	  inference(avatar_split_clause,[],[f72,f116])).
0.15/0.46	tff(f72,definition,(
0.15/0.46	  sF4 = count(sF3)),
0.15/0.46	  introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
0.15/0.46	tff(f114,plain,(
0.15/0.46	  spl9_7),
0.15/0.46	  inference(avatar_split_clause,[],[f70,f111])).
0.15/0.46	tff(f70,definition,(
0.15/0.46	  sF2 = remove(sK1,sK0)),
0.15/0.46	  introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
0.15/0.46	tff(f109,plain,(
0.15/0.46	  spl9_6),
0.15/0.46	  inference(avatar_split_clause,[],[f75,f106])).
0.15/0.46	tff(f75,definition,(
0.15/0.46	  add(0,sF6) = sF7),
0.15/0.46	  introduced(definition,[new_symbols(definition,[sF7])],[function_definition])).
0.15/0.46	tff(f104,plain,(
0.15/0.46	  ~spl9_5),
0.15/0.46	  inference(avatar_split_clause,[],[f77,f101])).
0.15/0.46	tff(f77,plain,(
0.15/0.46	  sF4 != sF8),
0.15/0.46	  inference(definition_folding,[],[f59,f76,f75,f74,f73,f72,f71,f70])).
0.15/0.46	tff(f71,definition,(
0.15/0.46	  sF3 = add(0,sF2)),
0.15/0.46	  introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
0.15/0.46	tff(f73,definition,(
0.15/0.46	  add(sK1,sK0) = sF5),
0.15/0.46	  introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
0.15/0.46	tff(f74,definition,(
0.15/0.46	  sF6 = remove(sK1,sF5)),
0.15/0.46	  introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
0.15/0.46	tff(f59,plain,(
0.15/0.46	  count(add(0,remove(sK1,sK0))) != count(add(0,remove(sK1,add(sK1,sK0))))),
0.15/0.46	  inference(cnf_transformation,[],[f40])).
0.15/0.46	tff(f40,plain,(
0.15/0.46	  count(add(0,remove(sK1,sK0))) != count(add(0,remove(sK1,add(sK1,sK0))))),
0.15/0.46	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f29,f39])).
0.15/0.46	tff(f39,plain,(
0.15/0.46	  ? [X0 : collection,X1 : $int] : count(add(0,remove(X1,X0))) != count(add(0,remove(X1,add(X1,X0)))) => count(add(0,remove(sK1,sK0))) != count(add(0,remove(sK1,add(sK1,sK0))))),
0.15/0.46	  introduced(definition,[],[choice_axiom])).
0.15/0.46	tff(f29,plain,(
0.15/0.46	  ? [X0 : collection,X1 : $int] : count(add(0,remove(X1,X0))) != count(add(0,remove(X1,add(X1,X0))))),
0.15/0.46	  inference(ennf_transformation,[],[f25])).
0.15/0.46	tff(f25,plain,(
0.15/0.46	  ~! [X0 : collection,X1 : $int] : count(add(0,remove(X1,X0))) = count(add(0,remove(X1,add(X1,X0))))),
0.15/0.46	  inference(rectify,[],[f14])).
0.15/0.46	tff(f14,negated_conjecture,(
0.15/0.46	  ~! [X0 : collection,X7 : $int] : count(add(0,remove(X7,add(X7,X0)))) = count(add(0,remove(X7,X0)))),
0.15/0.46	  inference(negated_conjecture,[status(cth)],[f13])).
0.15/0.46	tff(f13,conjecture,(
0.15/0.46	  ! [X0 : collection,X7 : $int] : count(add(0,remove(X7,add(X7,X0)))) = count(add(0,remove(X7,X0)))),
0.15/0.46	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.15/0.46	tff(f99,plain,(
0.15/0.46	  spl9_4),
0.15/0.46	  inference(avatar_split_clause,[],[f74,f96])).
0.15/0.46	tff(f94,plain,(
0.15/0.46	  spl9_3),
0.15/0.46	  inference(avatar_split_clause,[],[f71,f91])).
0.15/0.46	tff(f89,plain,(
0.15/0.46	  spl9_2),
0.15/0.46	  inference(avatar_split_clause,[],[f73,f86])).
0.15/0.46	tff(f84,plain,(
0.15/0.46	  spl9_1),
0.15/0.46	  inference(avatar_split_clause,[],[f67,f81])).
0.15/0.46	tff(f81,definition,(
0.15/0.46	  spl9_1 <=> 0 = count(empty)),
0.15/0.46	  introduced(definition,[new_symbols(naming,[spl9_1])],[avatar_definition])).
0.15/0.46	tff(f67,plain,(
0.15/0.46	  0 = count(empty)),
0.15/0.46	  inference(equality_resolution,[],[f49])).
0.15/0.46	tff(f49,plain,(
0.15/0.46	  ( ! [X0 : collection] : (0 = count(X0) | empty != X0) )),
0.15/0.46	  inference(cnf_transformation,[],[f33])).
0.15/0.46	% SZS output end Proof for theBenchmark
0.15/0.46	% (21173)------------------------------
0.15/0.46	% (21173)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.15/0.46	% (21173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.15/0.46	% (21173)Termination reason: Refutation
0.15/0.46	
0.15/0.46	% (21173)Time elapsed: 0.066 s
0.15/0.46	% (21173)Peak memory usage: 29 MB
0.15/0.46	% (21173)Instructions burned: 105 (million)
0.15/0.46	% (21173)------------------------------
0.15/0.46	% (21173)------------------------------
0.15/0.46	% (21170)Success in time 0.141 s
0.15/0.46	EOF