0.02/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.11	% Command    : run_vampire %s %d THM
0.09/0.31	% Computer   : n012.cluster.edu
0.09/0.31	% Model      : x86_64 x86_64
0.09/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.31	% Memory     : 8042.1875MB
0.09/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.09/0.31	% CPULimit   : 960
0.09/0.31	% WCLimit    : 120
0.09/0.31	% DateTime   : Wed Jul 30 05:45:49 EDT 2025
0.09/0.31	% CPUTime    : 
0.09/0.33	This is a TFF_ problem
0.09/0.33	Running first-order theorem proving
0.09/0.33	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.16/0.41	% (30916)Running in auto input_syntax mode. Trying TPTP
0.16/0.41	% (30923)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2603576090:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi)
0.16/0.41	% (30916)Running in auto input_syntax mode. Trying TPTP
0.16/0.41	% (30919)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=574353281:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi)
0.16/0.41	% (30916)Running in auto input_syntax mode. Trying TPTP
0.16/0.41	% (30921)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2511230041:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi)
0.16/0.41	% (30916)Running in auto input_syntax mode. Trying TPTP
0.16/0.41	% (30922)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=635862396:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi)
0.16/0.41	% (30916)Running in auto input_syntax mode. Trying TPTP
0.16/0.41	% (30918)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=3225717507:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi)
0.16/0.41	% (30916)Running in auto input_syntax mode. Trying TPTP
0.16/0.41	% (30920)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=63242480:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi)
0.16/0.41	% (30916)Running in auto input_syntax mode. Trying TPTP
0.16/0.41	% (30924)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=958126778:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi)
0.16/0.42	% (30921)Instruction limit reached! 
0.16/0.42	% (30921)------------------------------
0.16/0.42	% (30921)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.16/0.42	% (30921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.16/0.42	% (30921)Termination reason: Instruction limit
0.16/0.42	% (30921)Termination phase: Saturation
0.16/0.42	
0.16/0.42	% (30921)Time elapsed: 0.005 s
0.16/0.42	% (30921)Peak memory usage: 8 MB
0.16/0.42	% (30921)Instructions burned: 8 (million)
0.16/0.43	% (30922)Instruction limit reached! 
0.16/0.43	% (30922)------------------------------
0.16/0.43	% (30922)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.16/0.43	% (30922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.16/0.43	% (30922)Termination reason: Instruction limit
0.16/0.43	% (30922)Termination phase: Saturation
0.16/0.43	
0.16/0.43	% (30922)Time elapsed: 0.012 s
0.16/0.43	% (30922)Peak memory usage: 8 MB
0.16/0.43	% (30922)Instructions burned: 26 (million)
0.16/0.43	% (30918)Instruction limit reached! 
0.16/0.43	% (30918)------------------------------
0.16/0.43	% (30918)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.16/0.43	% (30918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.16/0.43	% (30918)Termination reason: Instruction limit
0.16/0.43	% (30918)Termination phase: Saturation
0.16/0.43	
0.16/0.43	% (30918)Time elapsed: 0.015 s
0.16/0.43	% (30918)Peak memory usage: 28 MB
0.16/0.43	% (30918)Instructions burned: 13 (million)
0.16/0.44	% (30924)Instruction limit reached! 
0.16/0.44	% (30924)------------------------------
0.16/0.44	% (30924)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.16/0.44	% (30924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.16/0.44	% (30924)Termination reason: Instruction limit
0.16/0.44	% (30924)Termination phase: Saturation
0.16/0.44	
0.16/0.44	% (30924)Time elapsed: 0.029 s
0.16/0.44	% (30924)Peak memory usage: 28 MB
0.16/0.44	% (30924)Instructions burned: 33 (million)
0.16/0.45	% (30923)First to succeed.
0.16/0.45	% (30923)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30916"
0.16/0.45	% (30916)Running in auto input_syntax mode. Trying TPTP
0.16/0.45	% (30923)Refutation found. Thanks to Tanya!
0.16/0.45	% SZS status Theorem for theBenchmark
0.16/0.45	% SZS output start Proof for theBenchmark
0.16/0.45	tff(type_def_5, type, uni: $tType).
0.16/0.45	tff(type_def_6, type, ty: $tType).
0.16/0.45	tff(type_def_7, type, bool1: $tType).
0.16/0.45	tff(type_def_8, type, tuple02: $tType).
0.16/0.45	tff(type_def_9, type, map_int_int: $tType).
0.16/0.45	tff(func_def_0, type, witness1: ty > uni).
0.16/0.45	tff(func_def_1, type, int: ty).
0.16/0.45	tff(func_def_2, type, real: ty).
0.16/0.45	tff(func_def_3, type, bool: ty).
0.16/0.45	tff(func_def_4, type, true1: bool1).
0.16/0.45	tff(func_def_5, type, false1: bool1).
0.16/0.45	tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni).
0.16/0.45	tff(func_def_7, type, tuple0: ty).
0.16/0.45	tff(func_def_8, type, tuple03: tuple02).
0.16/0.45	tff(func_def_9, type, qtmark: ty).
0.16/0.45	tff(func_def_10, type, map: (ty * ty) > ty).
0.16/0.45	tff(func_def_11, type, get: (ty * ty * uni * uni) > uni).
0.16/0.45	tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni).
0.16/0.45	tff(func_def_13, type, set2: (map_int_int * $int * $int) > map_int_int).
0.16/0.45	tff(func_def_14, type, t2tb: map_int_int > uni).
0.16/0.45	tff(func_def_15, type, tb2t: uni > map_int_int).
0.16/0.45	tff(func_def_16, type, t2tb1: $int > uni).
0.16/0.45	tff(func_def_17, type, tb2t1: uni > $int).
0.16/0.45	tff(func_def_18, type, const: (ty * ty * uni) > uni).
0.16/0.45	tff(func_def_19, type, ref: ty > ty).
0.16/0.45	tff(func_def_20, type, mk_ref: (ty * uni) > uni).
0.16/0.45	tff(func_def_21, type, contents: (ty * uni) > uni).
0.16/0.45	tff(func_def_22, type, a1: $int).
0.16/0.45	tff(func_def_34, type, sK0: map_int_int > $int).
0.16/0.45	tff(func_def_35, type, sK1: map_int_int).
0.16/0.45	tff(func_def_36, type, sK2: $int).
0.16/0.45	tff(func_def_37, type, sK3: $int).
0.16/0.45	tff(func_def_38, type, sK4: $int).
0.16/0.45	tff(func_def_39, type, sK5: $int).
0.16/0.45	tff(func_def_40, type, sK6: map_int_int).
0.16/0.45	tff(pred_def_1, type, sort1: (ty * uni) > $o).
0.16/0.45	tff(pred_def_2, type, separation1: $int > $o).
0.16/0.45	tff(pred_def_3, type, inv1: map_int_int > $o).
0.16/0.45	tff(pred_def_4, type, inv_l21: (map_int_int * $int * $int) > $o).
0.16/0.45	tff(f498,plain,(
0.16/0.45	  $false),
0.16/0.45	  inference(avatar_smt_refutation,[],[f162,f167,f172,f177,f182,f196,f278,f284,f306,f312,f369,f371,f373,f402,f407,f412,f437,f443,f444,f450,f468,f497])).
0.16/0.45	tff(f497,plain,(
0.16/0.45	  spl7_19 | ~spl7_2 | spl7_17 | ~spl7_18),
0.16/0.45	  inference(avatar_split_clause,[],[f492,f465,f447,f164,f494])).
0.16/0.45	tff(f494,definition,(
0.16/0.45	  spl7_19 <=> $sum(sK2,-16) = $sum(a1,sK0(sK6))),
0.16/0.45	  introduced(definition,[new_symbols(naming,[spl7_19])],[avatar_definition])).
0.16/0.45	tff(f164,definition,(
0.16/0.45	  spl7_2 <=> set2(sK1,$sum(sK2,-16),2) = sK6),
0.16/0.45	  introduced(definition,[new_symbols(naming,[spl7_2])],[avatar_definition])).
0.16/0.45	tff(f447,definition,(
0.16/0.45	  spl7_17 <=> $less(0,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum(a1,sK0(sK6))))))),
0.16/0.45	  introduced(definition,[new_symbols(naming,[spl7_17])],[avatar_definition])).
0.16/0.45	tff(f465,definition,(
0.16/0.45	  spl7_18 <=> $less(0,tb2t1(get(int,int,t2tb(sK1),t2tb1($sum(a1,sK0(sK6))))))),
0.16/0.45	  introduced(definition,[new_symbols(naming,[spl7_18])],[avatar_definition])).
0.16/0.45	tff(f492,plain,(
0.16/0.45	  $sum(sK2,-16) = $sum(a1,sK0(sK6)) | (~spl7_2 | spl7_17 | ~spl7_18)),
0.16/0.45	  inference(subsumption_resolution,[],[f491,f449])).
0.16/0.45	tff(f449,plain,(
0.16/0.45	  ~$less(0,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum(a1,sK0(sK6)))))) | spl7_17),
0.16/0.45	  inference(avatar_component_clause,[],[f447])).
0.16/0.45	tff(f491,plain,(
0.16/0.45	  $sum(sK2,-16) = $sum(a1,sK0(sK6)) | $less(0,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum(a1,sK0(sK6)))))) | (~spl7_2 | ~spl7_18)),
0.16/0.45	  inference(superposition,[],[f467,f348])).
0.16/0.45	tff(f348,plain,(
0.16/0.45	  ( ! [X0 : $int] : (tb2t1(get(int,int,t2tb(sK6),t2tb1(X0))) = tb2t1(get(int,int,t2tb(sK1),t2tb1(X0))) | $sum(sK2,-16) = X0) ) | ~spl7_2),
0.16/0.45	  inference(superposition,[],[f135,f166])).
0.16/0.45	tff(f166,plain,(
0.16/0.45	  set2(sK1,$sum(sK2,-16),2) = sK6 | ~spl7_2),
0.16/0.45	  inference(avatar_component_clause,[],[f164])).
0.16/0.45	tff(f135,plain,(
0.16/0.45	  ( ! [X2 : $int,X3 : $int,X0 : map_int_int,X1 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X1))) = tb2t1(get(int,int,t2tb(set2(X0,X3,X2)),t2tb1(X1))) | X1 = X3) )),
0.16/0.45	  inference(cnf_transformation,[],[f100])).
0.16/0.45	tff(f100,plain,(
0.16/0.45	  ! [X0 : map_int_int,X1 : $int,X2 : $int,X3 : $int] : (tb2t1(get(int,int,t2tb(X0),t2tb1(X1))) = tb2t1(get(int,int,t2tb(set2(X0,X3,X2)),t2tb1(X1))) | X1 = X3)),
0.16/0.45	  inference(rectify,[],[f66])).
0.16/0.45	tff(f66,plain,(
0.16/0.45	  ! [X1 : map_int_int,X0 : $int,X2 : $int,X3 : $int] : (tb2t1(get(int,int,t2tb(X1),t2tb1(X0))) = tb2t1(get(int,int,t2tb(set2(X1,X3,X2)),t2tb1(X0))) | X0 = X3)),
0.16/0.45	  inference(ennf_transformation,[],[f62])).
0.16/0.45	tff(f62,plain,(
0.16/0.45	  ! [X3 : $int,X2 : $int,X0 : $int,X1 : map_int_int] : (X0 != X3 => tb2t1(get(int,int,t2tb(X1),t2tb1(X0))) = tb2t1(get(int,int,t2tb(set2(X1,X3,X2)),t2tb1(X0))))),
0.16/0.45	  inference(rectify,[],[f8])).
0.16/0.45	tff(f8,axiom,(
0.16/0.45	  ! [X6 : $int,X4 : map_int_int,X1 : $int,X5 : $int] : (X5 != X6 => tb2t1(get(int,int,t2tb(set2(X4,X5,X1)),t2tb1(X6))) = tb2t1(get(int,int,t2tb(X4),t2tb1(X6))))),
0.16/0.45	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.45	tff(f467,plain,(
0.16/0.45	  $less(0,tb2t1(get(int,int,t2tb(sK1),t2tb1($sum(a1,sK0(sK6)))))) | ~spl7_18),
0.16/0.45	  inference(avatar_component_clause,[],[f465])).
0.16/0.45	tff(f468,plain,(
0.16/0.45	  spl7_18 | ~spl7_4 | spl7_14 | spl7_15),
0.16/0.45	  inference(avatar_split_clause,[],[f463,f404,f399,f174,f465])).
0.16/0.45	tff(f174,definition,(
0.16/0.45	  spl7_4 <=> inv1(sK1)),
0.16/0.45	  introduced(definition,[new_symbols(naming,[spl7_4])],[avatar_definition])).
0.16/0.45	tff(f399,definition,(
0.16/0.45	  spl7_14 <=> $less(10,sK0(sK6))),
0.16/0.45	  introduced(definition,[new_symbols(naming,[spl7_14])],[avatar_definition])).
0.16/0.45	tff(f404,definition,(
0.16/0.45	  spl7_15 <=> $less(sK0(sK6),1)),
0.16/0.45	  introduced(definition,[new_symbols(naming,[spl7_15])],[avatar_definition])).
0.16/0.45	tff(f463,plain,(
0.16/0.45	  $less(0,tb2t1(get(int,int,t2tb(sK1),t2tb1($sum(a1,sK0(sK6)))))) | (~spl7_4 | spl7_14 | spl7_15)),
0.16/0.45	  inference(subsumption_resolution,[],[f462,f401])).
0.16/0.45	tff(f401,plain,(
0.16/0.45	  ~$less(10,sK0(sK6)) | spl7_14),
0.16/0.45	  inference(avatar_component_clause,[],[f399])).
0.16/0.45	tff(f462,plain,(
0.16/0.45	  $less(0,tb2t1(get(int,int,t2tb(sK1),t2tb1($sum(a1,sK0(sK6)))))) | $less(10,sK0(sK6)) | (~spl7_4 | spl7_15)),
0.16/0.45	  inference(resolution,[],[f406,f347])).
0.16/0.45	tff(f347,plain,(
0.16/0.45	  ( ! [X0 : $int] : ($less(10,X0) | $less(X0,1) | $less(0,tb2t1(get(int,int,t2tb(sK1),t2tb1($sum(a1,X0)))))) ) | ~spl7_4),
0.16/0.45	  inference(resolution,[],[f128,f176])).
0.16/0.45	tff(f176,plain,(
0.16/0.45	  inv1(sK1) | ~spl7_4),
0.16/0.45	  inference(avatar_component_clause,[],[f174])).
0.16/0.45	tff(f128,plain,(
0.16/0.45	  ( ! [X0 : map_int_int,X1 : $int] : (~inv1(X0) | $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | $less(X1,1) | $less(10,X1)) )),
0.16/0.45	  inference(cnf_transformation,[],[f98])).
0.16/0.45	tff(f98,plain,(
0.16/0.45	  ! [X0 : map_int_int] : (((! [X1 : $int] : ($less(X1,1) | $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | $less(10,X1)) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) | ~inv1(X0)) & (inv1(X0) | (~$less(sK0(X0),1) & ~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK0(X0)))))) & ~$less(10,sK0(X0))) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))))),
0.16/0.45	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f96,f97])).
0.16/0.45	tff(f97,plain,(
0.16/0.45	  ! [X0 : map_int_int] : (? [X2 : $int] : (~$less(X2,1) & ~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2))))) & ~$less(10,X2)) => (~$less(sK0(X0),1) & ~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK0(X0)))))) & ~$less(10,sK0(X0))))),
0.16/0.45	  introduced(definition,[],[choice_axiom])).
0.16/0.45	tff(f96,plain,(
0.16/0.45	  ! [X0 : map_int_int] : (((! [X1 : $int] : ($less(X1,1) | $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | $less(10,X1)) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) | ~inv1(X0)) & (inv1(X0) | ? [X2 : $int] : (~$less(X2,1) & ~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X2))))) & ~$less(10,X2)) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))))),
0.16/0.45	  inference(rectify,[],[f95])).
0.16/0.45	tff(f95,plain,(
0.16/0.45	  ! [X0 : map_int_int] : (((! [X1 : $int] : ($less(X1,1) | $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | $less(10,X1)) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) | ~inv1(X0)) & (inv1(X0) | ? [X1 : $int] : (~$less(X1,1) & ~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) & ~$less(10,X1)) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))))),
0.16/0.45	  inference(flattening,[],[f94])).
0.16/0.45	tff(f94,plain,(
0.16/0.45	  ! [X0 : map_int_int] : (((! [X1 : $int] : ($less(X1,1) | $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | $less(10,X1)) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) | ~inv1(X0)) & (inv1(X0) | (? [X1 : $int] : (~$less(X1,1) & ~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) & ~$less(10,X1)) | 0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))))))),
0.16/0.45	  inference(nnf_transformation,[],[f77])).
0.16/0.45	tff(f77,plain,(
0.16/0.45	  ! [X0 : map_int_int] : ((! [X1 : $int] : ($less(X1,1) | $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | $less(10,X1)) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) <=> inv1(X0))),
0.16/0.45	  inference(flattening,[],[f76])).
0.16/0.45	tff(f76,plain,(
0.16/0.45	  ! [X0 : map_int_int] : ((! [X1 : $int] : ($less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1))))) | ($less(X1,1) | $less(10,X1))) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) <=> inv1(X0))),
0.16/0.45	  inference(ennf_transformation,[],[f47])).
0.16/0.45	tff(f47,plain,(
0.16/0.45	  ! [X0 : map_int_int] : ((! [X1 : $int] : ((~$less(X1,1) & ~$less(10,X1)) => $less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,X1)))))) & 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) <=> inv1(X0))),
0.16/0.45	  inference(rectify,[],[f32])).
0.16/0.45	tff(f32,plain,(
0.16/0.45	  ! [X15 : map_int_int] : (inv1(X15) <=> (! [X21 : $int] : ((~$less(X21,1) & ~$less(10,X21)) => $less(0,tb2t1(get(int,int,t2tb(X15),t2tb1($sum(a1,X21)))))) & 0 = tb2t1(get(int,int,t2tb(X15),t2tb1(a1)))))),
0.16/0.45	  inference(theory_normalization,[],[f25])).
0.16/0.45	tff(f25,axiom,(
0.16/0.45	  ! [X15 : map_int_int] : (inv1(X15) <=> (! [X21 : $int] : (($lesseq(1,X21) & $lesseq(X21,10)) => $less(0,tb2t1(get(int,int,t2tb(X15),t2tb1($sum(a1,X21)))))) & 0 = tb2t1(get(int,int,t2tb(X15),t2tb1(a1)))))),
0.16/0.45	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.45	tff(f406,plain,(
0.16/0.45	  ~$less(sK0(sK6),1) | spl7_15),
0.16/0.45	  inference(avatar_component_clause,[],[f404])).
0.16/0.45	tff(f450,plain,(
0.16/0.45	  ~spl7_17 | ~spl7_11 | spl7_13),
0.16/0.45	  inference(avatar_split_clause,[],[f445,f395,f362,f447])).
0.16/0.45	tff(f362,definition,(
0.16/0.45	  spl7_11 <=> 0 = tb2t1(get(int,int,t2tb(sK6),t2tb1(a1)))),
0.16/0.45	  introduced(definition,[new_symbols(naming,[spl7_11])],[avatar_definition])).
0.16/0.45	tff(f395,definition,(
0.16/0.45	  spl7_13 <=> inv1(sK6)),
0.16/0.45	  introduced(definition,[new_symbols(naming,[spl7_13])],[avatar_definition])).
0.16/0.45	tff(f445,plain,(
0.16/0.45	  ~$less(0,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum(a1,sK0(sK6)))))) | (~spl7_11 | spl7_13)),
0.16/0.45	  inference(subsumption_resolution,[],[f420,f396])).
0.16/0.45	tff(f396,plain,(
0.16/0.45	  ~inv1(sK6) | spl7_13),
0.16/0.45	  inference(avatar_component_clause,[],[f395])).
0.16/0.45	tff(f420,plain,(
0.16/0.45	  inv1(sK6) | ~$less(0,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum(a1,sK0(sK6)))))) | ~spl7_11),
0.16/0.45	  inference(trivial_inequality_removal,[],[f419])).
0.16/0.45	tff(f419,plain,(
0.16/0.45	  0 != 0 | ~$less(0,tb2t1(get(int,int,t2tb(sK6),t2tb1($sum(a1,sK0(sK6)))))) | inv1(sK6) | ~spl7_11),
0.16/0.45	  inference(superposition,[],[f125,f364])).
0.16/0.45	tff(f364,plain,(
0.16/0.45	  0 = tb2t1(get(int,int,t2tb(sK6),t2tb1(a1))) | ~spl7_11),
0.16/0.45	  inference(avatar_component_clause,[],[f362])).
0.16/0.45	tff(f125,plain,(
0.16/0.45	  ( ! [X0 : map_int_int] : (0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) | ~$less(0,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(a1,sK0(X0)))))) | inv1(X0)) )),
0.16/0.45	  inference(cnf_transformation,[],[f98])).
0.16/0.45	tff(f444,plain,(
0.16/0.45	  ~spl7_13 | spl7_3 | ~spl7_9),
0.16/0.45	  inference(avatar_split_clause,[],[f433,f303,f169,f395])).
0.16/0.45	tff(f169,definition,(
0.16/0.45	  spl7_3 <=> inv_l21(sK6,sK2,0)),
0.16/0.45	  introduced(definition,[new_symbols(naming,[spl7_3])],[avatar_definition])).
0.16/0.45	tff(f303,definition,(
0.16/0.45	  spl7_9 <=> 2 = tb2t1(get(int,int,t2tb(sK6),t2tb1($sum(sK2,-16))))),
0.16/0.45	  introduced(definition,[new_symbols(naming,[spl7_9])],[avatar_definition])).
0.16/0.45	tff(f433,plain,(
0.16/0.45	  ~inv1(sK6) | (spl7_3 | ~spl7_9)),
0.16/0.45	  inference(subsumption_resolution,[],[f430,f171])).
0.16/0.45	tff(f171,plain,(
0.16/0.45	  ~inv_l21(sK6,sK2,0) | spl7_3),
0.16/0.45	  inference(avatar_component_clause,[],[f169])).
0.16/0.45	tff(f430,plain,(
0.16/0.45	  inv_l21(sK6,sK2,0) | ~inv1(sK6) | ~spl7_9),
0.16/0.45	  inference(evaluation,[],[f429])).
0.16/0.45	tff(f429,plain,(
0.16/0.45	  $less(11,2) | inv_l21(sK6,sK2,$sum(2,-2)) | ~inv1(sK6) | $less(2,2) | ~spl7_9),
0.16/0.45	  inference(superposition,[],[f155,f305])).
0.16/0.45	tff(f305,plain,(
0.16/0.45	  2 = tb2t1(get(int,int,t2tb(sK6),t2tb1($sum(sK2,-16)))) | ~spl7_9),
0.16/0.45	  inference(avatar_component_clause,[],[f303])).
0.16/0.45	tff(f155,plain,(
0.16/0.45	  ( ! [X0 : map_int_int,X1 : $int] : (inv_l21(X0,X1,$sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,-16)))),-2)) | ~inv1(X0) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,-16)))),2) | $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,-16)))))) )),
0.16/0.45	  inference(evaluation,[],[f152])).
0.16/0.45	tff(f152,plain,(
0.16/0.45	  ( ! [X0 : map_int_int,X1 : $int] : (inv_l21(X0,X1,$sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2))) | ~inv1(X0) | $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2)) )),
0.16/0.45	  inference(equality_resolution,[],[f114])).
0.16/0.45	tff(f114,plain,(
0.16/0.45	  ( ! [X2 : $int,X0 : map_int_int,X1 : $int] : ($sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2)) != X2 | $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2) | inv_l21(X0,X1,X2) | ~inv1(X0)) )),
0.16/0.45	  inference(cnf_transformation,[],[f87])).
0.16/0.45	tff(f87,plain,(
0.16/0.45	  ! [X0 : map_int_int,X1 : $int,X2 : $int] : ($sum(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),$uminus(2)) != X2 | $less(11,tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16)))))) | $less(tb2t1(get(int,int,t2tb(X0),t2tb1($sum(X1,$uminus(16))))),2) | inv_l21(X0,X1,X2) | ~inv1(X0))),
0.16/0.45	  inference(rectify,[],[f80])).
0.16/0.45	tff(f80,plain,(
0.16/0.45	  ! [X2 : map_int_int,X0 : $int,X1 : $int] : ($sum(tb2t1(get(int,int,t2tb(X2),t2tb1($sum(X0,$uminus(16))))),$uminus(2)) != X1 | $less(11,tb2t1(get(int,int,t2tb(X2),t2tb1($sum(X0,$uminus(16)))))) | $less(tb2t1(get(int,int,t2tb(X2),t2tb1($sum(X0,$uminus(16))))),2) | inv_l21(X2,X0,X1) | ~inv1(X2))),
0.16/0.45	  inference(flattening,[],[f79])).
0.16/0.45	tff(f79,plain,(
0.16/0.45	  ! [X0 : $int,X1 : $int,X2 : map_int_int] : (inv_l21(X2,X0,X1) | ($less(tb2t1(get(int,int,t2tb(X2),t2tb1($sum(X0,$uminus(16))))),2) | $less(11,tb2t1(get(int,int,t2tb(X2),t2tb1($sum(X0,$uminus(16)))))) | ~inv1(X2) | $sum(tb2t1(get(int,int,t2tb(X2),t2tb1($sum(X0,$uminus(16))))),$uminus(2)) != X1))),
0.16/0.45	  inference(ennf_transformation,[],[f64])).
0.16/0.45	tff(f64,plain,(
0.16/0.45	  ! [X0 : $int,X1 : $int,X2 : map_int_int] : ((~$less(tb2t1(get(int,int,t2tb(X2),t2tb1($sum(X0,$uminus(16))))),2) & ~$less(11,tb2t1(get(int,int,t2tb(X2),t2tb1($sum(X0,$uminus(16)))))) & inv1(X2) & $sum(tb2t1(get(int,int,t2tb(X2),t2tb1($sum(X0,$uminus(16))))),$uminus(2)) = X1) => inv_l21(X2,X0,X1))),
0.16/0.45	  inference(unused_predicate_definition_removal,[],[f50])).
0.16/0.45	tff(f50,plain,(
0.16/0.45	  ! [X0 : $int,X1 : $int,X2 : map_int_int] : ((~$less(tb2t1(get(int,int,t2tb(X2),t2tb1($sum(X0,$uminus(16))))),2) & ~$less(11,tb2t1(get(int,int,t2tb(X2),t2tb1($sum(X0,$uminus(16)))))) & inv1(X2) & $sum(tb2t1(get(int,int,t2tb(X2),t2tb1($sum(X0,$uminus(16))))),$uminus(2)) = X1) <=> inv_l21(X2,X0,X1))),
0.16/0.45	  inference(rectify,[],[f33])).
0.16/0.45	tff(f33,plain,(
0.16/0.45	  ! [X12 : $int,X16 : $int,X15 : map_int_int] : (inv_l21(X15,X12,X16) <=> (inv1(X15) & ~$less(11,tb2t1(get(int,int,t2tb(X15),t2tb1($sum(X12,$uminus(16)))))) & $sum(tb2t1(get(int,int,t2tb(X15),t2tb1($sum(X12,$uminus(16))))),$uminus(2)) = X16 & ~$less(tb2t1(get(int,int,t2tb(X15),t2tb1($sum(X12,$uminus(16))))),2)))),
0.16/0.45	  inference(theory_normalization,[],[f23])).
0.16/0.45	tff(f23,axiom,(
0.16/0.45	  ! [X12 : $int,X16 : $int,X15 : map_int_int] : (inv_l21(X15,X12,X16) <=> (inv1(X15) & $lesseq(tb2t1(get(int,int,t2tb(X15),t2tb1($difference(X12,16)))),11) & $difference(tb2t1(get(int,int,t2tb(X15),t2tb1($difference(X12,16)))),2) = X16 & $lesseq(2,tb2t1(get(int,int,t2tb(X15),t2tb1($difference(X12,16)))))))),
0.16/0.45	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.45	tff(f443,plain,(
0.16/0.45	  spl7_3 | ~spl7_10 | ~spl7_13),
0.16/0.45	  inference(avatar_contradiction_clause,[],[f442])).
0.16/0.45	tff(f442,plain,(
0.16/0.45	  $false | (spl7_3 | ~spl7_10 | ~spl7_13)),
0.16/0.45	  inference(evaluation,[],[f441])).
0.16/0.45	tff(f441,plain,(
0.16/0.45	  $less(2,2) | (spl7_3 | ~spl7_10 | ~spl7_13)),
0.16/0.45	  inference(forward_demodulation,[],[f440,f136])).
0.16/0.45	tff(f136,plain,(
0.16/0.45	  ( ! [X0 : $int] : (tb2t1(t2tb1(X0)) = X0) )),
0.16/0.45	  inference(cnf_transformation,[],[f42])).
0.16/0.45	tff(f42,plain,(
0.16/0.45	  ! [X0 : $int] : tb2t1(t2tb1(X0)) = X0),
0.16/0.45	  inference(rectify,[],[f21])).
0.16/0.45	tff(f21,axiom,(
0.16/0.45	  ! [X20 : $int] : tb2t1(t2tb1(X20)) = X20),
0.16/0.45	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.45	tff(f440,plain,(
0.16/0.45	  $less(tb2t1(t2tb1(2)),2) | (spl7_3 | ~spl7_10 | ~spl7_13)),
0.16/0.45	  inference(evaluation,[],[f439])).
0.16/0.45	tff(f439,plain,(
0.16/0.45	  $less(tb2t1(t2tb1(2)),2) | $less(11,2) | (spl7_3 | ~spl7_10 | ~spl7_13)),
0.16/0.45	  inference(forward_demodulation,[],[f438,f136])).
0.16/0.45	tff(f438,plain,(
0.16/0.45	  $less(11,tb2t1(t2tb1(2))) | $less(tb2t1(t2tb1(2)),2) | (spl7_3 | ~spl7_10 | ~spl7_13)),
0.16/0.45	  inference(subsumption_resolution,[],[f435,f171])).
0.16/0.45	tff(f435,plain,(
0.16/0.45	  inv_l21(sK6,sK2,0) | $less(tb2t1(t2tb1(2)),2) | $less(11,tb2t1(t2tb1(2))) | (~spl7_10 | ~spl7_13)),
0.16/0.45	  inference(evaluation,[],[f434])).
0.16/0.45	tff(f434,plain,(
0.16/0.45	  $less(11,tb2t1(t2tb1(2))) | $less(tb2t1(t2tb1(2)),2) | inv_l21(sK6,sK2,$sum(2,-2)) | (~spl7_10 | ~spl7_13)),
0.16/0.45	  inference(forward_demodulation,[],[f431,f136])).
0.16/0.45	tff(f431,plain,(
0.16/0.45	  inv_l21(sK6,sK2,$sum(tb2t1(t2tb1(2)),-2)) | $less(11,tb2t1(t2tb1(2))) | $less(tb2t1(t2tb1(2)),2) | (~spl7_10 | ~spl7_13)),
0.16/0.45	  inference(subsumption_resolution,[],[f425,f397])).
0.16/0.45	tff(f397,plain,(
0.16/0.45	  inv1(sK6) | ~spl7_13),
0.16/0.45	  inference(avatar_component_clause,[],[f395])).
0.16/0.45	tff(f425,plain,(
0.16/0.45	  $less(tb2t1(t2tb1(2)),2) | $less(11,tb2t1(t2tb1(2))) | ~inv1(sK6) | inv_l21(sK6,sK2,$sum(tb2t1(t2tb1(2)),-2)) | ~spl7_10),
0.16/0.46	  inference(superposition,[],[f155,f311])).
0.16/0.46	tff(f311,plain,(
0.16/0.46	  t2tb1(2) = get(int,int,t2tb(sK6),t2tb1($sum(sK2,-16))) | ~spl7_10),
0.16/0.46	  inference(avatar_component_clause,[],[f309])).
0.16/0.46	tff(f309,definition,(
0.16/0.46	  spl7_10 <=> t2tb1(2) = get(int,int,t2tb(sK6),t2tb1($sum(sK2,-16)))),
0.16/0.46	  introduced(definition,[new_symbols(naming,[spl7_10])],[avatar_definition])).
0.16/0.46	tff(f437,plain,(
0.16/0.46	  spl7_3 | ~spl7_9 | ~spl7_13),
0.16/0.46	  inference(avatar_contradiction_clause,[],[f436])).
0.16/0.46	tff(f436,plain,(
0.16/0.46	  $false | (spl7_3 | ~spl7_9 | ~spl7_13)),
0.16/0.46	  inference(subsumption_resolution,[],[f433,f397])).
0.16/0.46	tff(f412,plain,(
0.16/0.46	  spl7_16 | ~spl7_11),
0.16/0.46	  inference(avatar_split_clause,[],[f391,f362,f409])).
0.16/0.46	tff(f409,definition,(
0.16/0.46	  spl7_16 <=> get(int,int,t2tb(sK6),t2tb1(a1)) = t2tb1(0)),
0.16/0.46	  introduced(definition,[new_symbols(naming,[spl7_16])],[avatar_definition])).
0.16/0.46	tff(f391,plain,(
0.16/0.46	  get(int,int,t2tb(sK6),t2tb1(a1)) = t2tb1(0) | ~spl7_11),
0.16/0.46	  inference(superposition,[],[f139,f364])).
0.16/0.46	tff(f139,plain,(
0.16/0.46	  ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )),
0.16/0.46	  inference(cnf_transformation,[],[f44])).
0.16/0.46	tff(f44,plain,(
0.16/0.46	  ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0),
0.16/0.46	  inference(rectify,[],[f11])).
0.16/0.46	tff(f11,axiom,(
0.16/0.46	  ! [X8 : uni] : t2tb1(tb2t1(X8)) = X8),
0.16/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.46	tff(f407,plain,(
0.16/0.46	  ~spl7_15 | spl7_13 | ~spl7_11),
0.16/0.46	  inference(avatar_split_clause,[],[f393,f362,f395,f404])).
0.16/0.46	tff(f393,plain,(
0.16/0.46	  ~$less(sK0(sK6),1) | inv1(sK6) | ~spl7_11),
0.16/0.46	  inference(trivial_inequality_removal,[],[f389])).
0.16/0.46	tff(f389,plain,(
0.16/0.46	  ~$less(sK0(sK6),1) | inv1(sK6) | 0 != 0 | ~spl7_11),
0.16/0.46	  inference(superposition,[],[f126,f364])).
0.16/0.46	tff(f126,plain,(
0.16/0.46	  ( ! [X0 : map_int_int] : (0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) | ~$less(sK0(X0),1) | inv1(X0)) )),
0.16/0.46	  inference(cnf_transformation,[],[f98])).
0.16/0.46	tff(f402,plain,(
0.16/0.46	  spl7_13 | ~spl7_14 | ~spl7_11),
0.16/0.46	  inference(avatar_split_clause,[],[f392,f362,f399,f395])).
0.16/0.46	tff(f392,plain,(
0.16/0.46	  inv1(sK6) | ~$less(10,sK0(sK6)) | ~spl7_11),
0.16/0.46	  inference(trivial_inequality_removal,[],[f390])).
0.16/0.46	tff(f390,plain,(
0.16/0.46	  inv1(sK6) | 0 != 0 | ~$less(10,sK0(sK6)) | ~spl7_11),
0.16/0.46	  inference(superposition,[],[f124,f364])).
0.16/0.46	tff(f124,plain,(
0.16/0.46	  ( ! [X0 : map_int_int] : (0 != tb2t1(get(int,int,t2tb(X0),t2tb1(a1))) | ~$less(10,sK0(X0)) | inv1(X0)) )),
0.16/0.46	  inference(cnf_transformation,[],[f98])).
0.16/0.46	tff(f373,plain,(
0.16/0.46	  spl7_11 | spl7_12 | ~spl7_2 | ~spl7_8),
0.16/0.46	  inference(avatar_split_clause,[],[f372,f281,f164,f366,f362])).
0.16/0.46	tff(f366,definition,(
0.16/0.46	  spl7_12 <=> a1 = $sum(sK2,-16)),
0.16/0.46	  introduced(definition,[new_symbols(naming,[spl7_12])],[avatar_definition])).
0.16/0.46	tff(f281,definition,(
0.16/0.46	  spl7_8 <=> get(int,int,t2tb(sK1),t2tb1(a1)) = t2tb1(0)),
0.16/0.46	  introduced(definition,[new_symbols(naming,[spl7_8])],[avatar_definition])).
0.16/0.46	tff(f372,plain,(
0.16/0.46	  a1 = $sum(sK2,-16) | 0 = tb2t1(get(int,int,t2tb(sK6),t2tb1(a1))) | (~spl7_2 | ~spl7_8)),
0.16/0.46	  inference(forward_demodulation,[],[f355,f136])).
0.16/0.46	tff(f355,plain,(
0.16/0.46	  a1 = $sum(sK2,-16) | tb2t1(get(int,int,t2tb(sK6),t2tb1(a1))) = tb2t1(t2tb1(0)) | (~spl7_2 | ~spl7_8)),
0.16/0.46	  inference(superposition,[],[f348,f283])).
0.16/0.46	tff(f283,plain,(
0.16/0.46	  get(int,int,t2tb(sK1),t2tb1(a1)) = t2tb1(0) | ~spl7_8),
0.16/0.46	  inference(avatar_component_clause,[],[f281])).
0.16/0.46	tff(f371,plain,(
0.16/0.46	  spl7_11 | spl7_12 | ~spl7_2 | ~spl7_7),
0.16/0.46	  inference(avatar_split_clause,[],[f356,f275,f164,f366,f362])).
0.16/0.46	tff(f275,definition,(
0.16/0.46	  spl7_7 <=> 0 = tb2t1(get(int,int,t2tb(sK1),t2tb1(a1)))),
0.16/0.46	  introduced(definition,[new_symbols(naming,[spl7_7])],[avatar_definition])).
0.16/0.46	tff(f356,plain,(
0.16/0.46	  a1 = $sum(sK2,-16) | 0 = tb2t1(get(int,int,t2tb(sK6),t2tb1(a1))) | (~spl7_2 | ~spl7_7)),
0.16/0.46	  inference(superposition,[],[f348,f277])).
0.16/0.46	tff(f277,plain,(
0.16/0.46	  0 = tb2t1(get(int,int,t2tb(sK1),t2tb1(a1))) | ~spl7_7),
0.16/0.46	  inference(avatar_component_clause,[],[f275])).
0.16/0.46	tff(f369,plain,(
0.16/0.46	  spl7_11 | spl7_12 | ~spl7_2 | ~spl7_7),
0.16/0.46	  inference(avatar_split_clause,[],[f357,f275,f164,f366,f362])).
0.16/0.46	tff(f357,plain,(
0.16/0.46	  a1 = $sum(sK2,-16) | 0 = tb2t1(get(int,int,t2tb(sK6),t2tb1(a1))) | (~spl7_2 | ~spl7_7)),
0.16/0.46	  inference(superposition,[],[f277,f348])).
0.16/0.46	tff(f312,plain,(
0.16/0.46	  spl7_10 | ~spl7_9),
0.16/0.46	  inference(avatar_split_clause,[],[f307,f303,f309])).
0.16/0.46	tff(f307,plain,(
0.16/0.46	  t2tb1(2) = get(int,int,t2tb(sK6),t2tb1($sum(sK2,-16))) | ~spl7_9),
0.16/0.46	  inference(superposition,[],[f139,f305])).
0.16/0.46	tff(f306,plain,(
0.16/0.46	  spl7_9 | ~spl7_2),
0.16/0.46	  inference(avatar_split_clause,[],[f299,f164,f303])).
0.16/0.46	tff(f299,plain,(
0.16/0.46	  2 = tb2t1(get(int,int,t2tb(sK6),t2tb1($sum(sK2,-16)))) | ~spl7_2),
0.16/0.46	  inference(superposition,[],[f154,f166])).
0.16/0.46	tff(f154,plain,(
0.16/0.46	  ( ! [X2 : $int,X3 : $int,X1 : map_int_int] : (tb2t1(get(int,int,t2tb(set2(X1,X2,X3)),t2tb1(X2))) = X3) )),
0.16/0.46	  inference(equality_resolution,[],[f149])).
0.16/0.46	tff(f149,plain,(
0.16/0.46	  ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : map_int_int] : (X0 != X2 | tb2t1(get(int,int,t2tb(set2(X1,X2,X3)),t2tb1(X0))) = X3) )),
0.16/0.46	  inference(cnf_transformation,[],[f109])).
0.16/0.46	tff(f109,plain,(
0.16/0.46	  ! [X0 : $int,X1 : map_int_int,X2 : $int,X3 : $int] : (X0 != X2 | tb2t1(get(int,int,t2tb(set2(X1,X2,X3)),t2tb1(X0))) = X3)),
0.16/0.46	  inference(rectify,[],[f67])).
0.16/0.46	tff(f67,plain,(
0.16/0.46	  ! [X3 : $int,X2 : map_int_int,X1 : $int,X0 : $int] : (X1 != X3 | tb2t1(get(int,int,t2tb(set2(X2,X1,X0)),t2tb1(X3))) = X0)),
0.16/0.46	  inference(ennf_transformation,[],[f48])).
0.16/0.46	tff(f48,plain,(
0.16/0.46	  ! [X0 : $int,X3 : $int,X1 : $int,X2 : map_int_int] : (X1 = X3 => tb2t1(get(int,int,t2tb(set2(X2,X1,X0)),t2tb1(X3))) = X0)),
0.16/0.46	  inference(rectify,[],[f13])).
0.16/0.46	tff(f13,axiom,(
0.16/0.46	  ! [X1 : $int,X5 : $int,X4 : map_int_int,X6 : $int] : (X5 = X6 => tb2t1(get(int,int,t2tb(set2(X4,X5,X1)),t2tb1(X6))) = X1)),
0.16/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.46	tff(f284,plain,(
0.16/0.46	  spl7_8 | ~spl7_7),
0.16/0.46	  inference(avatar_split_clause,[],[f279,f275,f281])).
0.16/0.46	tff(f279,plain,(
0.16/0.46	  get(int,int,t2tb(sK1),t2tb1(a1)) = t2tb1(0) | ~spl7_7),
0.16/0.46	  inference(superposition,[],[f139,f277])).
0.16/0.46	tff(f278,plain,(
0.16/0.46	  spl7_7 | ~spl7_4),
0.16/0.46	  inference(avatar_split_clause,[],[f273,f174,f275])).
0.16/0.46	tff(f273,plain,(
0.16/0.46	  0 = tb2t1(get(int,int,t2tb(sK1),t2tb1(a1))) | ~spl7_4),
0.16/0.46	  inference(resolution,[],[f127,f176])).
0.16/0.46	tff(f127,plain,(
0.16/0.46	  ( ! [X0 : map_int_int] : (~inv1(X0) | 0 = tb2t1(get(int,int,t2tb(X0),t2tb1(a1)))) )),
0.16/0.46	  inference(cnf_transformation,[],[f98])).
0.16/0.46	tff(f196,plain,(
0.16/0.46	  spl7_6 | ~spl7_5),
0.16/0.46	  inference(avatar_split_clause,[],[f191,f179,f193])).
0.16/0.46	tff(f193,definition,(
0.16/0.46	  spl7_6 <=> $less($sum(a1,10),$sum(sK2,-24))),
0.16/0.46	  introduced(definition,[new_symbols(naming,[spl7_6])],[avatar_definition])).
0.16/0.46	tff(f179,definition,(
0.16/0.46	  spl7_5 <=> separation1(sK2)),
0.16/0.46	  introduced(definition,[new_symbols(naming,[spl7_5])],[avatar_definition])).
0.16/0.46	tff(f191,plain,(
0.16/0.46	  $less($sum(a1,10),$sum(sK2,-24)) | ~spl7_5),
0.16/0.46	  inference(resolution,[],[f157,f181])).
0.16/0.46	tff(f181,plain,(
0.16/0.46	  separation1(sK2) | ~spl7_5),
0.16/0.46	  inference(avatar_component_clause,[],[f179])).
0.16/0.46	tff(f157,plain,(
0.16/0.46	  ( ! [X0 : $int] : (~separation1(X0) | $less($sum(a1,10),$sum(X0,-24))) )),
0.16/0.46	  inference(evaluation,[],[f131])).
0.16/0.46	tff(f131,plain,(
0.16/0.46	  ( ! [X0 : $int] : (~separation1(X0) | $less($sum(a1,10),$sum(X0,$uminus(24)))) )),
0.16/0.46	  inference(cnf_transformation,[],[f71])).
0.16/0.46	tff(f71,plain,(
0.16/0.46	  ! [X0 : $int] : (~separation1(X0) | $less($sum(a1,10),$sum(X0,$uminus(24))))),
0.16/0.46	  inference(ennf_transformation,[],[f65])).
0.16/0.46	tff(f65,plain,(
0.16/0.46	  ! [X0 : $int] : (separation1(X0) => $less($sum(a1,10),$sum(X0,$uminus(24))))),
0.16/0.46	  inference(unused_predicate_definition_removal,[],[f54])).
0.16/0.46	tff(f54,plain,(
0.16/0.46	  ! [X0 : $int] : (separation1(X0) <=> $less($sum(a1,10),$sum(X0,$uminus(24))))),
0.16/0.46	  inference(rectify,[],[f35])).
0.16/0.46	tff(f35,plain,(
0.16/0.46	  ! [X12 : $int] : ($less($sum(a1,10),$sum(X12,$uminus(24))) <=> separation1(X12))),
0.16/0.46	  inference(theory_normalization,[],[f10])).
0.16/0.46	tff(f10,axiom,(
0.16/0.46	  ! [X12 : $int] : ($less($sum(a1,10),$difference(X12,24)) <=> separation1(X12))),
0.16/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.46	tff(f182,plain,(
0.16/0.46	  spl7_5),
0.16/0.46	  inference(avatar_split_clause,[],[f142,f179])).
0.16/0.46	tff(f142,plain,(
0.16/0.46	  separation1(sK2)),
0.16/0.46	  inference(cnf_transformation,[],[f108])).
0.16/0.46	tff(f108,plain,(
0.16/0.46	  ((0 = sK4 & (2 = sK5 & (~inv_l21(sK6,sK2,sK3) & sK6 = set2(sK1,$sum(sK2,$uminus(16)),sK5)))) & 0 = sK3) & inv1(sK1) & separation1(sK2)),
0.16/0.46	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f82,f107,f106,f105,f104,f103])).
0.16/0.46	tff(f103,plain,(
0.16/0.46	  ? [X0 : map_int_int,X1 : $int] : (? [X2 : $int] : (? [X3 : $int] : (0 = X3 & ? [X4 : $int] : (2 = X4 & ? [X5 : map_int_int] : (~inv_l21(X5,X1,X2) & set2(X0,$sum(X1,$uminus(16)),X4) = X5))) & 0 = X2) & inv1(X0) & separation1(X1)) => (? [X2 : $int] : (? [X3 : $int] : (0 = X3 & ? [X4 : $int] : (2 = X4 & ? [X5 : map_int_int] : (~inv_l21(X5,sK2,X2) & set2(sK1,$sum(sK2,$uminus(16)),X4) = X5))) & 0 = X2) & inv1(sK1) & separation1(sK2))),
0.16/0.46	  introduced(definition,[],[choice_axiom])).
0.16/0.46	tff(f104,plain,(
0.16/0.46	  ? [X2 : $int] : (? [X3 : $int] : (0 = X3 & ? [X4 : $int] : (2 = X4 & ? [X5 : map_int_int] : (~inv_l21(X5,sK2,X2) & set2(sK1,$sum(sK2,$uminus(16)),X4) = X5))) & 0 = X2) => (? [X3 : $int] : (0 = X3 & ? [X4 : $int] : (2 = X4 & ? [X5 : map_int_int] : (~inv_l21(X5,sK2,sK3) & set2(sK1,$sum(sK2,$uminus(16)),X4) = X5))) & 0 = sK3)),
0.16/0.46	  introduced(definition,[],[choice_axiom])).
0.16/0.46	tff(f105,plain,(
0.16/0.46	  ? [X3 : $int] : (0 = X3 & ? [X4 : $int] : (2 = X4 & ? [X5 : map_int_int] : (~inv_l21(X5,sK2,sK3) & set2(sK1,$sum(sK2,$uminus(16)),X4) = X5))) => (0 = sK4 & ? [X4 : $int] : (2 = X4 & ? [X5 : map_int_int] : (~inv_l21(X5,sK2,sK3) & set2(sK1,$sum(sK2,$uminus(16)),X4) = X5)))),
0.16/0.46	  introduced(definition,[],[choice_axiom])).
0.16/0.46	tff(f106,plain,(
0.16/0.46	  ? [X4 : $int] : (2 = X4 & ? [X5 : map_int_int] : (~inv_l21(X5,sK2,sK3) & set2(sK1,$sum(sK2,$uminus(16)),X4) = X5)) => (2 = sK5 & ? [X5 : map_int_int] : (~inv_l21(X5,sK2,sK3) & set2(sK1,$sum(sK2,$uminus(16)),sK5) = X5))),
0.16/0.46	  introduced(definition,[],[choice_axiom])).
0.16/0.46	tff(f107,plain,(
0.16/0.46	  ? [X5 : map_int_int] : (~inv_l21(X5,sK2,sK3) & set2(sK1,$sum(sK2,$uminus(16)),sK5) = X5) => (~inv_l21(sK6,sK2,sK3) & sK6 = set2(sK1,$sum(sK2,$uminus(16)),sK5))),
0.16/0.46	  introduced(definition,[],[choice_axiom])).
0.16/0.46	tff(f82,plain,(
0.16/0.46	  ? [X0 : map_int_int,X1 : $int] : (? [X2 : $int] : (? [X3 : $int] : (0 = X3 & ? [X4 : $int] : (2 = X4 & ? [X5 : map_int_int] : (~inv_l21(X5,X1,X2) & set2(X0,$sum(X1,$uminus(16)),X4) = X5))) & 0 = X2) & inv1(X0) & separation1(X1))),
0.16/0.46	  inference(flattening,[],[f81])).
0.16/0.46	tff(f81,plain,(
0.16/0.46	  ? [X1 : $int,X0 : map_int_int] : (? [X2 : $int] : (? [X3 : $int] : (0 = X3 & ? [X4 : $int] : (2 = X4 & ? [X5 : map_int_int] : (~inv_l21(X5,X1,X2) & set2(X0,$sum(X1,$uminus(16)),X4) = X5))) & 0 = X2) & (separation1(X1) & inv1(X0)))),
0.16/0.46	  inference(ennf_transformation,[],[f52])).
0.16/0.46	tff(f52,plain,(
0.16/0.46	  ~! [X1 : $int,X0 : map_int_int] : ((separation1(X1) & inv1(X0)) => ! [X2 : $int] : (0 = X2 => ! [X3 : $int] : (0 = X3 => ! [X4 : $int] : (2 = X4 => ! [X5 : map_int_int] : (set2(X0,$sum(X1,$uminus(16)),X4) = X5 => inv_l21(X5,X1,X2))))))),
0.16/0.46	  inference(rectify,[],[f34])).
0.16/0.46	tff(f34,plain,(
0.16/0.46	  ~! [X15 : map_int_int,X12 : $int] : ((separation1(X12) & inv1(X15)) => ! [X16 : $int] : (0 = X16 => ! [X17 : $int] : (0 = X17 => ! [X18 : $int] : (2 = X18 => ! [X19 : map_int_int] : (set2(X15,$sum(X12,$uminus(16)),X18) = X19 => inv_l21(X19,X12,X16))))))),
0.16/0.46	  inference(theory_normalization,[],[f20])).
0.16/0.46	tff(f20,negated_conjecture,(
0.16/0.46	  ~! [X15 : map_int_int,X12 : $int] : ((separation1(X12) & inv1(X15)) => ! [X16 : $int] : (0 = X16 => ! [X17 : $int] : (0 = X17 => ! [X18 : $int] : (2 = X18 => ! [X19 : map_int_int] : (set2(X15,$difference(X12,16),X18) = X19 => inv_l21(X19,X12,X16))))))),
0.16/0.46	  inference(negated_conjecture,[status(cth)],[f19])).
0.16/0.46	tff(f19,conjecture,(
0.16/0.46	  ! [X15 : map_int_int,X12 : $int] : ((separation1(X12) & inv1(X15)) => ! [X16 : $int] : (0 = X16 => ! [X17 : $int] : (0 = X17 => ! [X18 : $int] : (2 = X18 => ! [X19 : map_int_int] : (set2(X15,$difference(X12,16),X18) = X19 => inv_l21(X19,X12,X16))))))),
0.16/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.46	tff(f177,plain,(
0.16/0.46	  spl7_4),
0.16/0.46	  inference(avatar_split_clause,[],[f143,f174])).
0.16/0.46	tff(f143,plain,(
0.16/0.46	  inv1(sK1)),
0.16/0.46	  inference(cnf_transformation,[],[f108])).
0.16/0.46	tff(f172,plain,(
0.16/0.46	  ~spl7_3),
0.16/0.46	  inference(avatar_split_clause,[],[f150,f169])).
0.16/0.46	tff(f150,plain,(
0.16/0.46	  ~inv_l21(sK6,sK2,0)),
0.16/0.46	  inference(definition_unfolding,[],[f146,f144])).
0.16/0.46	tff(f144,plain,(
0.16/0.46	  0 = sK3),
0.16/0.46	  inference(cnf_transformation,[],[f108])).
0.16/0.46	tff(f146,plain,(
0.16/0.46	  ~inv_l21(sK6,sK2,sK3)),
0.16/0.46	  inference(cnf_transformation,[],[f108])).
0.16/0.46	tff(f167,plain,(
0.16/0.46	  spl7_2),
0.16/0.46	  inference(avatar_split_clause,[],[f156,f164])).
0.16/0.46	tff(f156,plain,(
0.16/0.46	  set2(sK1,$sum(sK2,-16),2) = sK6),
0.16/0.46	  inference(evaluation,[],[f151])).
0.16/0.46	tff(f151,plain,(
0.16/0.46	  sK6 = set2(sK1,$sum(sK2,$uminus(16)),2)),
0.16/0.46	  inference(definition_unfolding,[],[f145,f147])).
0.16/0.46	tff(f147,plain,(
0.16/0.46	  2 = sK5),
0.16/0.46	  inference(cnf_transformation,[],[f108])).
0.16/0.46	tff(f145,plain,(
0.16/0.46	  sK6 = set2(sK1,$sum(sK2,$uminus(16)),sK5)),
0.16/0.46	  inference(cnf_transformation,[],[f108])).
0.16/0.46	tff(f162,plain,(
0.16/0.46	  ~spl7_1),
0.16/0.46	  inference(avatar_split_clause,[],[f113,f159])).
0.16/0.46	tff(f159,definition,(
0.16/0.46	  spl7_1 <=> true1 = false1),
0.16/0.46	  introduced(definition,[new_symbols(naming,[spl7_1])],[avatar_definition])).
0.16/0.46	tff(f113,plain,(
0.16/0.46	  true1 != false1),
0.16/0.46	  inference(cnf_transformation,[],[f2])).
0.16/0.46	tff(f2,axiom,(
0.16/0.46	  true1 != false1),
0.16/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.46	% SZS output end Proof for theBenchmark
0.16/0.46	% (30923)------------------------------
0.16/0.46	% (30923)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.16/0.46	% (30923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.16/0.46	% (30923)Termination reason: Refutation
0.16/0.46	
0.16/0.46	% (30923)Time elapsed: 0.039 s
0.16/0.46	% (30923)Peak memory usage: 29 MB
0.16/0.46	% (30923)Instructions burned: 52 (million)
0.16/0.46	% (30923)------------------------------
0.16/0.46	% (30923)------------------------------
0.16/0.46	% (30916)Success in time 0.119 s
0.16/0.46	EOF