0.10/0.14	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.14	% Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
0.11/0.36	% Computer : n024.cluster.edu
0.11/0.36	% Model    : x86_64 x86_64
0.11/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.36	% Memory   : 8042.1875MB
0.11/0.36	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.36	% CPULimit   : 300
0.11/0.36	% WCLimit    : 300
0.11/0.36	% DateTime   : Fri Jul  5 04:23:09 EDT 2024
0.11/0.36	% CPUTime    : 
0.11/0.38	This is a TFF_ problem
0.11/0.38	Running vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
0.11/0.38	% (28967)Running in auto input_syntax mode. Trying TPTP
0.19/0.43	% (28972)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on theBenchmark for (408ds/0Mi)
0.19/0.43	% (28974)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on theBenchmark for (280ds/0Mi)
0.19/0.43	% (28969)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on theBenchmark for (572ds/0Mi)
0.19/0.43	% (28970)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on theBenchmark for (476ds/0Mi)
0.19/0.43	% (28971)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on theBenchmark for (472ds/0Mi)
0.19/0.43	% (28973)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on theBenchmark for (318ds/0Mi)
0.19/0.44	% (28968)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on theBenchmark for (1034ds/0Mi)
0.19/0.55	% (28972)First to succeed.
0.19/0.57	% (28972)Refutation found. Thanks to Tanya!
0.19/0.57	% SZS status Theorem for theBenchmark
0.19/0.57	% SZS output start Proof for theBenchmark
0.19/0.57	tff(func_def_0, type, v0: $int > $int).
0.19/0.57	tff(func_def_1, type, u1: ($int * $int) > $int).
0.19/0.57	tff(func_def_2, type, u0: ($int * $int) > $int).
0.19/0.57	tff(func_def_3, type, v1: $int > $int).
0.19/0.57	tff(func_def_4, type, g0: $int > $int).
0.19/0.57	tff(func_def_5, type, h1: $int > $int).
0.19/0.57	tff(func_def_6, type, f0: ($int * $int) > $int).
0.19/0.57	tff(func_def_7, type, h0: $int).
0.19/0.57	tff(func_def_8, type, g1: $int).
0.19/0.57	tff(func_def_9, type, fast: $int > $int).
0.19/0.57	tff(func_def_10, type, small: $int > $int).
0.19/0.57	tff(func_def_11, type, f1: $int > $int).
0.19/0.57	tff(func_def_19, type, sK0: $int).
0.19/0.57	tff(func_def_20, type, sF1: $int).
0.19/0.57	tff(func_def_21, type, sF2: $int).
0.19/0.57	tff(func_def_22, type, sF3: $int).
0.19/0.57	tff(func_def_23, type, sF4: $int).
0.19/0.57	tff(func_def_30, type, '$inst6': $int).
0.19/0.57	tff(f331,plain,(
0.19/0.57	  $false),
0.19/0.57	  inference(avatar_smt_refutation,[],[f58,f63,f69,f74,f79,f84,f111,f166,f175,f195,f201,f248,f254,f273,f290,f311,f323,f330])).
0.19/0.57	tff(f330,plain,(
0.19/0.57	  ~spl5_18 | ~spl5_9 | ~spl5_12),
0.19/0.57	  inference(avatar_split_clause,[],[f231,f198,f172,f327])).
0.19/0.57	tff(f327,plain,(
0.19/0.57	  spl5_18 <=> $less(0,sF3)),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_18])])).
0.19/0.57	tff(f172,plain,(
0.19/0.57	  spl5_9 <=> sF1 = u0(sF3,2)),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_9])])).
0.19/0.57	tff(f198,plain,(
0.19/0.57	  spl5_12 <=> sF4 = f1(sF3)),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_12])])).
0.19/0.57	tff(f231,plain,(
0.19/0.57	  ~$less(0,sF3) | (~spl5_9 | ~spl5_12)),
0.19/0.57	  inference(global_subsumption,[],[f51,f230])).
0.19/0.57	tff(f230,plain,(
0.19/0.57	  sF1 = sF4 | ~$less(0,sF3) | (~spl5_9 | ~spl5_12)),
0.19/0.57	  inference(forward_demodulation,[],[f218,f200])).
0.19/0.57	tff(f200,plain,(
0.19/0.57	  sF4 = f1(sF3) | ~spl5_12),
0.19/0.57	  inference(avatar_component_clause,[],[f198])).
0.19/0.57	tff(f218,plain,(
0.19/0.57	  sF1 = f1(sF3) | ~$less(0,sF3) | ~spl5_9),
0.19/0.57	  inference(superposition,[],[f146,f174])).
0.19/0.57	tff(f174,plain,(
0.19/0.57	  sF1 = u0(sF3,2) | ~spl5_9),
0.19/0.57	  inference(avatar_component_clause,[],[f172])).
0.19/0.57	tff(f146,plain,(
0.19/0.57	  ( ! [X6 : $int,X5 : $int] : (f1(X5) = u0(X5,X6) | ~$less(0,X5)) )),
0.19/0.57	  inference(duplicate_literal_removal,[],[f141])).
0.19/0.57	tff(f141,plain,(
0.19/0.57	  ( ! [X6 : $int,X5 : $int] : (f1(X5) = u0(X5,X6) | ~$less(0,X5) | ~$less(0,X5)) )),
0.19/0.57	  inference(superposition,[],[f46,f35])).
0.19/0.57	tff(f35,plain,(
0.19/0.57	  ( ! [X0 : $int] : (f1(X0) = $product($sum(2,X0),X0) | ~$less(0,X0)) )),
0.19/0.57	  inference(cnf_transformation,[],[f20])).
0.19/0.57	tff(f20,plain,(
0.19/0.57	  ! [X0 : $int] : ((f1(X0) = $product($sum(2,X0),1) | $less(0,X0)) & (f1(X0) = $product($sum(2,X0),X0) | ~$less(0,X0)))),
0.19/0.57	  inference(ennf_transformation,[],[f16])).
0.19/0.57	tff(f16,plain,(
0.19/0.57	  ! [X0 : $int] : ((~$less(0,X0) => f1(X0) = $product($sum(2,X0),1)) & ($less(0,X0) => f1(X0) = $product($sum(2,X0),X0)))),
0.19/0.57	  inference(theory_normalization,[],[f12])).
0.19/0.57	tff(f12,axiom,(
0.19/0.57	  ! [X0 : $int] : (($lesseq(X0,0) => f1(X0) = $product($sum(2,X0),1)) & (~$lesseq(X0,0) => f1(X0) = $product($sum(2,X0),X0)))),
0.19/0.57	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_7)).
0.19/0.57	tff(f46,plain,(
0.19/0.57	  ( ! [X0 : $int,X1 : $int] : (u0(X0,X1) = $product($sum(2,X0),X0) | ~$less(0,X0)) )),
0.19/0.57	  inference(definition_unfolding,[],[f38,f37])).
0.19/0.57	tff(f37,plain,(
0.19/0.57	  ( ! [X0 : $int,X1 : $int] : (f0(X0,X1) = $product($sum(2,X1),X1)) )),
0.19/0.57	  inference(cnf_transformation,[],[f8])).
0.19/0.57	tff(f8,axiom,(
0.19/0.57	  ! [X0 : $int,X1 : $int] : f0(X0,X1) = $product($sum(2,X1),X1)),
0.19/0.57	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1)).
0.19/0.57	tff(f38,plain,(
0.19/0.57	  ( ! [X0 : $int,X1 : $int] : (u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1),X0) | ~$less(0,X0)) )),
0.19/0.57	  inference(cnf_transformation,[],[f21])).
0.19/0.57	tff(f21,plain,(
0.19/0.57	  ! [X0 : $int,X1 : $int] : ((u0(X0,X1) = X1 | $less(0,X0)) & (u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1),X0) | ~$less(0,X0)))),
0.19/0.57	  inference(ennf_transformation,[],[f17])).
0.19/0.57	tff(f17,plain,(
0.19/0.57	  ! [X0 : $int,X1 : $int] : ((~$less(0,X0) => u0(X0,X1) = X1) & ($less(0,X0) => u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1),X0)))),
0.19/0.57	  inference(theory_normalization,[],[f11])).
0.19/0.57	tff(f11,axiom,(
0.19/0.57	  ! [X0 : $int,X1 : $int] : (($lesseq(X0,0) => u0(X0,X1) = X1) & (~$lesseq(X0,0) => u0(X0,X1) = f0(u0($difference(X0,1),X1),X0)))),
0.19/0.57	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_4)).
0.19/0.57	tff(f51,plain,(
0.19/0.57	  sF1 != sF4),
0.19/0.57	  inference(definition_folding,[],[f44,f50,f49,f48,f47])).
0.19/0.57	tff(f47,plain,(
0.19/0.57	  small(sK0) = sF1),
0.19/0.57	  introduced(function_definition,[])).
0.19/0.57	tff(f48,plain,(
0.19/0.57	  $sum(sK0,sK0) = sF2),
0.19/0.57	  introduced(function_definition,[])).
0.19/0.57	tff(f49,plain,(
0.19/0.57	  $product(2,sF2) = sF3),
0.19/0.57	  introduced(function_definition,[])).
0.19/0.57	tff(f50,plain,(
0.19/0.57	  u1(1,sF3) = sF4),
0.19/0.57	  introduced(function_definition,[])).
0.19/0.57	tff(f44,plain,(
0.19/0.57	  small(sK0) != u1(1,$product(2,$sum(sK0,sK0)))),
0.19/0.57	  inference(definition_unfolding,[],[f25,f43])).
0.19/0.57	tff(f43,plain,(
0.19/0.57	  ( ! [X0 : $int] : (fast(X0) = u1(1,$product(2,$sum(X0,X0)))) )),
0.19/0.57	  inference(definition_unfolding,[],[f29,f42])).
0.19/0.57	tff(f42,plain,(
0.19/0.57	  ( ! [X0 : $int] : (v1(X0) = u1(1,$product(2,$sum(X0,X0)))) )),
0.19/0.57	  inference(definition_unfolding,[],[f31,f27,f34])).
0.19/0.57	tff(f34,plain,(
0.19/0.57	  ( ! [X0 : $int] : ($product(2,$sum(X0,X0)) = h1(X0)) )),
0.19/0.57	  inference(cnf_transformation,[],[f7])).
0.19/0.57	tff(f7,axiom,(
0.19/0.57	  ! [X0 : $int] : $product(2,$sum(X0,X0)) = h1(X0)),
0.19/0.57	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_9)).
0.19/0.57	tff(f27,plain,(
0.19/0.57	  g1 = 1),
0.19/0.57	  inference(cnf_transformation,[],[f3])).
0.19/0.57	tff(f3,axiom,(
0.19/0.57	  g1 = 1),
0.19/0.57	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_8)).
0.19/0.57	tff(f31,plain,(
0.19/0.57	  ( ! [X0 : $int] : (v1(X0) = u1(g1,h1(X0))) )),
0.19/0.57	  inference(cnf_transformation,[],[f13])).
0.19/0.57	tff(f13,axiom,(
0.19/0.57	  ! [X0 : $int] : v1(X0) = u1(g1,h1(X0))),
0.19/0.57	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_11)).
0.19/0.57	tff(f29,plain,(
0.19/0.57	  ( ! [X0 : $int] : (fast(X0) = v1(X0)) )),
0.19/0.57	  inference(cnf_transformation,[],[f4])).
0.19/0.57	tff(f4,axiom,(
0.19/0.57	  ! [X0 : $int] : fast(X0) = v1(X0)),
0.19/0.57	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_12)).
0.19/0.57	tff(f25,plain,(
0.19/0.57	  fast(sK0) != small(sK0)),
0.19/0.57	  inference(cnf_transformation,[],[f24])).
0.19/0.57	tff(f24,plain,(
0.19/0.57	  ~$less(sK0,0) & fast(sK0) != small(sK0)),
0.19/0.57	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f23])).
0.19/0.57	tff(f23,plain,(
0.19/0.57	  ? [X0 : $int] : (~$less(X0,0) & fast(X0) != small(X0)) => (~$less(sK0,0) & fast(sK0) != small(sK0))),
0.19/0.57	  introduced(choice_axiom,[])).
0.19/0.57	tff(f19,plain,(
0.19/0.57	  ? [X0 : $int] : (~$less(X0,0) & fast(X0) != small(X0))),
0.19/0.57	  inference(rectify,[],[f15])).
0.19/0.57	tff(f15,plain,(
0.19/0.57	  ? [X2 : $int] : (~$less(X2,0) & small(X2) != fast(X2))),
0.19/0.57	  inference(theory_normalization,[],[f10])).
0.19/0.57	tff(f10,negated_conjecture,(
0.19/0.57	  ~~? [X2 : $int] : ($greatereq(X2,0) & small(X2) != fast(X2))),
0.19/0.57	  inference(negated_conjecture,[],[f9])).
0.19/0.57	tff(f9,conjecture,(
0.19/0.57	  ~? [X2 : $int] : ($greatereq(X2,0) & small(X2) != fast(X2))),
0.19/0.57	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1)).
0.19/0.57	tff(f323,plain,(
0.19/0.57	  spl5_17 | ~spl5_9 | ~spl5_12),
0.19/0.57	  inference(avatar_split_clause,[],[f236,f198,f172,f320])).
0.19/0.57	tff(f320,plain,(
0.19/0.57	  spl5_17 <=> 2 = u0(sF3,2)),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_17])])).
0.19/0.57	tff(f236,plain,(
0.19/0.57	  2 = u0(sF3,2) | (~spl5_9 | ~spl5_12)),
0.19/0.57	  inference(backward_demodulation,[],[f174,f232])).
0.19/0.57	tff(f232,plain,(
0.19/0.57	  2 = sF1 | (~spl5_9 | ~spl5_12)),
0.19/0.57	  inference(subsumption_resolution,[],[f180,f231])).
0.19/0.57	tff(f180,plain,(
0.19/0.57	  2 = sF1 | $less(0,sF3) | ~spl5_9),
0.19/0.57	  inference(superposition,[],[f174,f39])).
0.19/0.57	tff(f39,plain,(
0.19/0.57	  ( ! [X0 : $int,X1 : $int] : (u0(X0,X1) = X1 | $less(0,X0)) )),
0.19/0.57	  inference(cnf_transformation,[],[f21])).
0.19/0.57	tff(f311,plain,(
0.19/0.57	  ~spl5_16 | ~spl5_9 | spl5_10 | ~spl5_12),
0.19/0.57	  inference(avatar_split_clause,[],[f285,f198,f188,f172,f308])).
0.19/0.57	tff(f308,plain,(
0.19/0.57	  spl5_16 <=> sF3 = 4),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_16])])).
0.19/0.57	tff(f188,plain,(
0.19/0.57	  spl5_10 <=> sF3 = $product(2,sF1)),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_10])])).
0.19/0.57	tff(f285,plain,(
0.19/0.57	  sF3 != 4 | (~spl5_9 | spl5_10 | ~spl5_12)),
0.19/0.57	  inference(evaluation,[],[f284])).
0.19/0.57	tff(f284,plain,(
0.19/0.57	  sF3 != $product(2,2) | (~spl5_9 | spl5_10 | ~spl5_12)),
0.19/0.57	  inference(forward_demodulation,[],[f189,f232])).
0.19/0.57	tff(f189,plain,(
0.19/0.57	  sF3 != $product(2,sF1) | spl5_10),
0.19/0.57	  inference(avatar_component_clause,[],[f188])).
0.19/0.57	tff(f290,plain,(
0.19/0.57	  ~spl5_15 | ~spl5_9 | spl5_11 | ~spl5_12),
0.19/0.57	  inference(avatar_split_clause,[],[f283,f198,f192,f172,f287])).
0.19/0.57	tff(f287,plain,(
0.19/0.57	  spl5_15 <=> 2 = sF2),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_15])])).
0.19/0.57	tff(f192,plain,(
0.19/0.57	  spl5_11 <=> sF1 = sF2),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_11])])).
0.19/0.57	tff(f283,plain,(
0.19/0.57	  2 != sF2 | (~spl5_9 | spl5_11 | ~spl5_12)),
0.19/0.57	  inference(forward_demodulation,[],[f194,f232])).
0.19/0.57	tff(f194,plain,(
0.19/0.57	  sF1 != sF2 | spl5_11),
0.19/0.57	  inference(avatar_component_clause,[],[f192])).
0.19/0.57	tff(f273,plain,(
0.19/0.57	  ~spl5_5 | ~spl5_9 | ~spl5_11 | ~spl5_12),
0.19/0.57	  inference(avatar_contradiction_clause,[],[f272])).
0.19/0.57	tff(f272,plain,(
0.19/0.57	  $false | (~spl5_5 | ~spl5_9 | ~spl5_11 | ~spl5_12)),
0.19/0.57	  inference(evaluation,[],[f270])).
0.19/0.57	tff(f270,plain,(
0.19/0.57	  ~$less(0,4) | (~spl5_5 | ~spl5_9 | ~spl5_11 | ~spl5_12)),
0.19/0.57	  inference(backward_demodulation,[],[f231,f266])).
0.19/0.57	tff(f266,plain,(
0.19/0.57	  sF3 = 4 | (~spl5_5 | ~spl5_9 | ~spl5_11 | ~spl5_12)),
0.19/0.57	  inference(evaluation,[],[f257])).
0.19/0.57	tff(f257,plain,(
0.19/0.57	  sF3 = $product(2,2) | (~spl5_5 | ~spl5_9 | ~spl5_11 | ~spl5_12)),
0.19/0.57	  inference(backward_demodulation,[],[f78,f255])).
0.19/0.57	tff(f255,plain,(
0.19/0.57	  2 = sF2 | (~spl5_9 | ~spl5_11 | ~spl5_12)),
0.19/0.57	  inference(forward_demodulation,[],[f193,f232])).
0.19/0.57	tff(f193,plain,(
0.19/0.57	  sF1 = sF2 | ~spl5_11),
0.19/0.57	  inference(avatar_component_clause,[],[f192])).
0.19/0.57	tff(f78,plain,(
0.19/0.57	  $product(2,sF2) = sF3 | ~spl5_5),
0.19/0.57	  inference(avatar_component_clause,[],[f76])).
0.19/0.57	tff(f76,plain,(
0.19/0.57	  spl5_5 <=> $product(2,sF2) = sF3),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_5])])).
0.19/0.57	tff(f254,plain,(
0.19/0.57	  spl5_14 | ~spl5_3 | ~spl5_9 | ~spl5_12),
0.19/0.57	  inference(avatar_split_clause,[],[f234,f198,f172,f66,f251])).
0.19/0.57	tff(f251,plain,(
0.19/0.57	  spl5_14 <=> 2 = small(sK0)),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_14])])).
0.19/0.57	tff(f66,plain,(
0.19/0.57	  spl5_3 <=> small(sK0) = sF1),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_3])])).
0.19/0.57	tff(f234,plain,(
0.19/0.57	  2 = small(sK0) | (~spl5_3 | ~spl5_9 | ~spl5_12)),
0.19/0.57	  inference(backward_demodulation,[],[f68,f232])).
0.19/0.57	tff(f68,plain,(
0.19/0.57	  small(sK0) = sF1 | ~spl5_3),
0.19/0.57	  inference(avatar_component_clause,[],[f66])).
0.19/0.57	tff(f248,plain,(
0.19/0.57	  ~spl5_13 | spl5_2 | ~spl5_9 | ~spl5_12),
0.19/0.57	  inference(avatar_split_clause,[],[f233,f198,f172,f60,f245])).
0.19/0.57	tff(f245,plain,(
0.19/0.57	  spl5_13 <=> 2 = sF4),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_13])])).
0.19/0.57	tff(f60,plain,(
0.19/0.57	  spl5_2 <=> sF1 = sF4),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_2])])).
0.19/0.57	tff(f233,plain,(
0.19/0.57	  2 != sF4 | (spl5_2 | ~spl5_9 | ~spl5_12)),
0.19/0.57	  inference(backward_demodulation,[],[f62,f232])).
0.19/0.57	tff(f62,plain,(
0.19/0.57	  sF1 != sF4 | spl5_2),
0.19/0.57	  inference(avatar_component_clause,[],[f60])).
0.19/0.57	tff(f201,plain,(
0.19/0.57	  spl5_12 | ~spl5_6),
0.19/0.57	  inference(avatar_split_clause,[],[f183,f81,f198])).
0.19/0.57	tff(f81,plain,(
0.19/0.57	  spl5_6 <=> u1(1,sF3) = sF4),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_6])])).
0.19/0.57	tff(f183,plain,(
0.19/0.57	  sF4 = f1(sF3) | ~spl5_6),
0.19/0.57	  inference(superposition,[],[f161,f83])).
0.19/0.57	tff(f83,plain,(
0.19/0.57	  u1(1,sF3) = sF4 | ~spl5_6),
0.19/0.57	  inference(avatar_component_clause,[],[f81])).
0.19/0.57	tff(f161,plain,(
0.19/0.57	  ( ! [X1 : $int] : (f1(X1) = u1(1,X1)) )),
0.19/0.57	  inference(forward_demodulation,[],[f160,f99])).
0.19/0.57	tff(f99,plain,(
0.19/0.57	  ( ! [X1 : $int] : (u1(0,X1) = X1) )),
0.19/0.57	  inference(interpreted_simplification,[],[f98])).
0.19/0.57	tff(f98,plain,(
0.19/0.57	  ( ! [X1 : $int] : (u1(0,X1) = X1 | $less(0,0)) )),
0.19/0.57	  inference(instantiation,[],[f40])).
0.19/0.57	tff(f40,plain,(
0.19/0.57	  ( ! [X0 : $int,X1 : $int] : (u1(X0,X1) = X1 | $less(0,X0)) )),
0.19/0.57	  inference(cnf_transformation,[],[f22])).
0.19/0.57	tff(f22,plain,(
0.19/0.57	  ! [X0 : $int,X1 : $int] : ((u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) | ~$less(0,X0)) & (u1(X0,X1) = X1 | $less(0,X0)))),
0.19/0.57	  inference(ennf_transformation,[],[f18])).
0.19/0.57	tff(f18,plain,(
0.19/0.57	  ! [X0 : $int,X1 : $int] : (($less(0,X0) => u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1))) & (~$less(0,X0) => u1(X0,X1) = X1))),
0.19/0.57	  inference(theory_normalization,[],[f14])).
0.19/0.57	tff(f14,axiom,(
0.19/0.57	  ! [X0 : $int,X1 : $int] : ((~$lesseq(X0,0) => u1(X0,X1) = f1(u1($difference(X0,1),X1))) & ($lesseq(X0,0) => u1(X0,X1) = X1))),
0.19/0.57	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_10)).
0.19/0.57	tff(f160,plain,(
0.19/0.57	  ( ! [X1 : $int] : (u1(1,X1) = f1(u1(0,X1))) )),
0.19/0.57	  inference(evaluation,[],[f151])).
0.19/0.57	tff(f151,plain,(
0.19/0.57	  ( ! [X1 : $int] : (u1(1,X1) = f1(u1($sum(1,-1),X1))) )),
0.19/0.57	  inference(interpreted_simplification,[],[f150])).
0.19/0.57	tff(f150,plain,(
0.19/0.57	  ( ! [X1 : $int] : (u1(1,X1) = f1(u1($sum(1,-1),X1)) | ~$less(0,1)) )),
0.19/0.57	  inference(instantiation,[],[f52])).
0.19/0.57	tff(f52,plain,(
0.19/0.57	  ( ! [X0 : $int,X1 : $int] : (u1(X0,X1) = f1(u1($sum(X0,-1),X1)) | ~$less(0,X0)) )),
0.19/0.57	  inference(evaluation,[],[f41])).
0.19/0.57	tff(f41,plain,(
0.19/0.57	  ( ! [X0 : $int,X1 : $int] : (u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) | ~$less(0,X0)) )),
0.19/0.57	  inference(cnf_transformation,[],[f22])).
0.19/0.57	tff(f195,plain,(
0.19/0.57	  spl5_10 | ~spl5_11 | ~spl5_3 | ~spl5_5),
0.19/0.57	  inference(avatar_split_clause,[],[f91,f76,f66,f192,f188])).
0.19/0.57	tff(f91,plain,(
0.19/0.57	  sF1 != sF2 | sF3 = $product(2,sF1) | (~spl5_3 | ~spl5_5)),
0.19/0.57	  inference(forward_demodulation,[],[f88,f68])).
0.19/0.57	tff(f88,plain,(
0.19/0.57	  sF3 = $product(2,sF1) | small(sK0) != sF2 | (~spl5_3 | ~spl5_5)),
0.19/0.57	  inference(constrained_superposition,[],[f78,f68])).
0.19/0.57	tff(f175,plain,(
0.19/0.57	  spl5_9 | ~spl5_3 | ~spl5_4 | ~spl5_5),
0.19/0.57	  inference(avatar_split_clause,[],[f120,f76,f71,f66,f172])).
0.19/0.57	tff(f71,plain,(
0.19/0.57	  spl5_4 <=> $sum(sK0,sK0) = sF2),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_4])])).
0.19/0.57	tff(f120,plain,(
0.19/0.57	  sF1 = u0(sF3,2) | (~spl5_3 | ~spl5_4 | ~spl5_5)),
0.19/0.57	  inference(forward_demodulation,[],[f119,f68])).
0.19/0.57	tff(f119,plain,(
0.19/0.57	  small(sK0) = u0(sF3,2) | (~spl5_4 | ~spl5_5)),
0.19/0.57	  inference(forward_demodulation,[],[f112,f78])).
0.19/0.57	tff(f112,plain,(
0.19/0.57	  small(sK0) = u0($product(2,sF2),2) | ~spl5_4),
0.19/0.57	  inference(superposition,[],[f45,f73])).
0.19/0.57	tff(f73,plain,(
0.19/0.57	  $sum(sK0,sK0) = sF2 | ~spl5_4),
0.19/0.57	  inference(avatar_component_clause,[],[f71])).
0.19/0.57	tff(f45,plain,(
0.19/0.57	  ( ! [X0 : $int] : (small(X0) = u0($product(2,$sum(X0,X0)),2)) )),
0.19/0.57	  inference(definition_unfolding,[],[f32,f30,f33,f28])).
0.19/0.57	tff(f28,plain,(
0.19/0.57	  h0 = 2),
0.19/0.57	  inference(cnf_transformation,[],[f2])).
0.19/0.57	tff(f2,axiom,(
0.19/0.57	  h0 = 2),
0.19/0.57	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3)).
0.19/0.57	tff(f33,plain,(
0.19/0.57	  ( ! [X0 : $int] : (g0(X0) = $product(2,$sum(X0,X0))) )),
0.19/0.57	  inference(cnf_transformation,[],[f5])).
0.19/0.57	tff(f5,axiom,(
0.19/0.57	  ! [X0 : $int] : g0(X0) = $product(2,$sum(X0,X0))),
0.19/0.57	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2)).
0.19/0.57	tff(f30,plain,(
0.19/0.57	  ( ! [X0 : $int] : (v0(X0) = small(X0)) )),
0.19/0.57	  inference(cnf_transformation,[],[f6])).
0.19/0.57	tff(f6,axiom,(
0.19/0.57	  ! [X0 : $int] : v0(X0) = small(X0)),
0.19/0.57	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6)).
0.19/0.57	tff(f32,plain,(
0.19/0.57	  ( ! [X0 : $int] : (v0(X0) = u0(g0(X0),h0)) )),
0.19/0.57	  inference(cnf_transformation,[],[f1])).
0.19/0.57	tff(f1,axiom,(
0.19/0.57	  ! [X0 : $int] : v0(X0) = u0(g0(X0),h0)),
0.19/0.57	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5)).
0.19/0.57	tff(f166,plain,(
0.19/0.57	  spl5_8),
0.19/0.57	  inference(avatar_split_clause,[],[f132,f163])).
0.19/0.57	tff(f163,plain,(
0.19/0.57	  spl5_8 <=> f1(1) = 3),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_8])])).
0.19/0.57	tff(f132,plain,(
0.19/0.57	  f1(1) = 3),
0.19/0.57	  inference(evaluation,[],[f123])).
0.19/0.57	tff(f123,plain,(
0.19/0.57	  f1(1) = $product($sum(2,1),1)),
0.19/0.57	  inference(interpreted_simplification,[],[f122])).
0.19/0.57	tff(f122,plain,(
0.19/0.57	  f1(1) = $product($sum(2,1),1) | ~$less(0,1)),
0.19/0.57	  inference(instantiation,[],[f35])).
0.19/0.57	tff(f111,plain,(
0.19/0.57	  spl5_7),
0.19/0.57	  inference(avatar_split_clause,[],[f106,f108])).
0.19/0.57	tff(f108,plain,(
0.19/0.57	  spl5_7 <=> 2 = f1(0)),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_7])])).
0.19/0.57	tff(f106,plain,(
0.19/0.57	  2 = f1(0)),
0.19/0.57	  inference(evaluation,[],[f103])).
0.19/0.57	tff(f103,plain,(
0.19/0.57	  f1(0) = $sum(2,0)),
0.19/0.57	  inference(interpreted_simplification,[],[f102])).
0.19/0.57	tff(f102,plain,(
0.19/0.57	  f1(0) = $sum(2,0) | $less(0,0)),
0.19/0.57	  inference(instantiation,[],[f53])).
0.19/0.57	tff(f53,plain,(
0.19/0.57	  ( ! [X0 : $int] : (f1(X0) = $sum(2,X0) | $less(0,X0)) )),
0.19/0.57	  inference(evaluation,[],[f36])).
0.19/0.57	tff(f36,plain,(
0.19/0.57	  ( ! [X0 : $int] : (f1(X0) = $product($sum(2,X0),1) | $less(0,X0)) )),
0.19/0.57	  inference(cnf_transformation,[],[f20])).
0.19/0.57	tff(f84,plain,(
0.19/0.57	  spl5_6),
0.19/0.57	  inference(avatar_split_clause,[],[f50,f81])).
0.19/0.57	tff(f79,plain,(
0.19/0.57	  spl5_5),
0.19/0.57	  inference(avatar_split_clause,[],[f49,f76])).
0.19/0.57	tff(f74,plain,(
0.19/0.57	  spl5_4),
0.19/0.57	  inference(avatar_split_clause,[],[f48,f71])).
0.19/0.57	tff(f69,plain,(
0.19/0.57	  spl5_3),
0.19/0.57	  inference(avatar_split_clause,[],[f47,f66])).
0.19/0.57	tff(f63,plain,(
0.19/0.57	  ~spl5_2),
0.19/0.57	  inference(avatar_split_clause,[],[f51,f60])).
0.19/0.57	tff(f58,plain,(
0.19/0.57	  ~spl5_1),
0.19/0.57	  inference(avatar_split_clause,[],[f26,f55])).
0.19/0.57	tff(f55,plain,(
0.19/0.57	  spl5_1 <=> $less(sK0,0)),
0.19/0.57	  introduced(avatar_definition,[new_symbols(naming,[spl5_1])])).
0.19/0.57	tff(f26,plain,(
0.19/0.57	  ~$less(sK0,0)),
0.19/0.57	  inference(cnf_transformation,[],[f24])).
0.19/0.57	% SZS output end Proof for theBenchmark
0.19/0.57	% (28972)------------------------------
0.19/0.57	% (28972)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
0.19/0.57	% (28972)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
0.19/0.57	% (28972)Termination reason: Refutation
0.19/0.57	
0.19/0.57	% (28972)Memory used [KB]: 5756
0.19/0.57	% (28972)Time elapsed: 0.124 s
0.19/0.57	% (28972)------------------------------
0.19/0.57	% (28972)------------------------------
0.19/0.57	% (28967)Success in time 0.174 s
0.19/0.57	28969 Aborted by signal SIGHUP on /export/starexec/sandbox/benchmark/theBenchmark.p
0.19/0.57	% (28969)------------------------------
0.19/0.57	% (28969)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
0.19/0.57	% (28969)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
0.19/0.57	% (28969)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
0.19/0.57	
0.19/0.57	% (28969)Memory used [KB]: 7291
0.19/0.57	% (28969)Time elapsed: 0.138 s
0.19/0.57	% (28969)------------------------------
0.19/0.57	% (28969)------------------------------
0.19/0.57	% Vampire---4.8 exiting
0.19/0.57	EOF