0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.10/0.31 % Computer : n007.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 03:30:42 EDT 2022 0.10/0.31 % CPUTime : 0.10/0.31 This is a TFF_ problem 0.10/0.32 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.32 % (4377)Running in auto input_syntax mode. Trying TPTP 0.16/0.38 % (4383)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.16/0.38 % (4382)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.16/0.38 % (4379)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 0.16/0.38 % (4384)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=on:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 0.16/0.38 % (4378)ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 0.16/0.38 % (4380)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=on:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 0.16/0.38 % (4381)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 0.16/0.38 % (4385)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.16/0.41 % (4382)Refutation not found, incomplete strategy% (4382)------------------------------ 0.16/0.41 % (4382)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.16/0.41 % (4382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.16/0.41 % (4382)Termination reason: Refutation not found, incomplete strategy 0.16/0.41 0.16/0.41 % (4382)Memory used [KB]: 6268 0.16/0.41 % (4382)Time elapsed: 0.036 s 0.16/0.41 % (4382)------------------------------ 0.16/0.41 % (4382)------------------------------ 0.16/0.43 % (4383)Refutation not found, incomplete strategy% (4383)------------------------------ 0.16/0.43 % (4383)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.16/0.43 % (4383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.16/0.43 % (4383)Termination reason: Refutation not found, incomplete strategy 0.16/0.43 0.16/0.43 % (4383)Memory used [KB]: 6268 0.16/0.43 % (4383)Time elapsed: 0.059 s 0.16/0.43 % (4383)------------------------------ 0.16/0.43 % (4383)------------------------------ 0.16/0.44 % (4380)Refutation not found, incomplete strategy% (4380)------------------------------ 0.16/0.44 % (4380)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.16/0.44 % (4380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.16/0.44 % (4380)Termination reason: Refutation not found, incomplete strategy 0.16/0.44 0.16/0.44 % (4380)Memory used [KB]: 1791 0.16/0.44 % (4380)Time elapsed: 0.069 s 0.16/0.44 % (4380)------------------------------ 0.16/0.44 % (4380)------------------------------ 0.16/0.45 % (4385)First to succeed. 0.16/0.45 % (4385)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(func_def_0, type, d: $int). 0.16/0.45 tff(func_def_1, type, c: $int). 0.16/0.45 tff(f186,plain,( 0.16/0.45 $false), 0.16/0.45 inference(avatar_smt_refutation,[],[f45,f52,f61,f62,f65,f73,f78,f89,f93,f136,f142,f143,f144,f146,f147,f153,f154,f159,f161,f163,f165,f174,f175,f184,f185])). 0.16/0.45 tff(f185,plain,( 0.16/0.45 ~spl0_15), 0.16/0.45 inference(avatar_split_clause,[],[f178,f181])). 0.16/0.45 tff(f181,plain,( 0.16/0.45 spl0_15 <=> $less(d,3)), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])). 0.16/0.45 tff(f178,plain,( 0.16/0.45 ~$less(d,3)), 0.16/0.45 inference(evaluation,[],[f176])). 0.16/0.45 tff(f176,plain,( 0.16/0.45 ~$less($uminus($uminus(d)),3)), 0.16/0.45 inference(unit_resulting_resolution,[],[f18,f36])). 0.16/0.45 tff(f36,plain,( 0.16/0.45 ( ! [X1 : $int] : (~$less(X1,3) | d != X1) )), 0.16/0.45 inference(theory_flattening,[],[f31])). 0.16/0.45 tff(f31,plain,( 0.16/0.45 ~$less(d,3)), 0.16/0.45 inference(cnf_transformation,[],[f7])). 0.16/0.45 tff(f7,plain,( 0.16/0.45 ~$less(d,3)), 0.16/0.45 inference(theory_normalization,[],[f1])). 0.16/0.45 tff(f1,axiom,( 0.16/0.45 $lesseq(3,d)), 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)). 0.16/0.45 tff(f18,plain,( 0.16/0.45 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )), 0.16/0.45 introduced(theory_axiom_152,[])). 0.16/0.45 tff(f184,plain,( 0.16/0.45 ~spl0_15), 0.16/0.45 inference(avatar_split_clause,[],[f179,f181])). 0.16/0.45 tff(f179,plain,( 0.16/0.45 ~$less(d,3)), 0.16/0.45 inference(forward_demodulation,[],[f177,f10])). 0.16/0.45 tff(f10,plain,( 0.16/0.45 ( ! [X0 : $int] : ($sum(X0,0) = X0) )), 0.16/0.45 introduced(theory_axiom_141,[])). 0.16/0.45 tff(f177,plain,( 0.16/0.45 ~$less($sum(d,0),3)), 0.16/0.45 inference(unit_resulting_resolution,[],[f10,f36])). 0.16/0.45 tff(f175,plain,( 0.16/0.45 ~spl0_14), 0.16/0.45 inference(avatar_split_clause,[],[f168,f171])). 0.16/0.45 tff(f171,plain,( 0.16/0.45 spl0_14 <=> $less(c,2)), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])). 0.16/0.45 tff(f168,plain,( 0.16/0.45 ~$less(c,2)), 0.16/0.45 inference(evaluation,[],[f166])). 0.16/0.45 tff(f166,plain,( 0.16/0.45 ~$less($uminus($uminus(c)),2)), 0.16/0.45 inference(unit_resulting_resolution,[],[f18,f35])). 0.16/0.45 tff(f35,plain,( 0.16/0.45 ( ! [X1 : $int] : (~$less(X1,2) | c != X1) )), 0.16/0.45 inference(theory_flattening,[],[f30])). 0.16/0.45 tff(f30,plain,( 0.16/0.45 ~$less(c,2)), 0.16/0.45 inference(cnf_transformation,[],[f6])). 0.16/0.45 tff(f6,plain,( 0.16/0.45 ~$less(c,2)), 0.16/0.45 inference(theory_normalization,[],[f4])). 0.16/0.45 tff(f4,axiom,( 0.16/0.45 $lesseq(2,c)), 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_001)). 0.16/0.45 tff(f174,plain,( 0.16/0.45 ~spl0_14), 0.16/0.45 inference(avatar_split_clause,[],[f169,f171])). 0.16/0.45 tff(f169,plain,( 0.16/0.45 ~$less(c,2)), 0.16/0.45 inference(forward_demodulation,[],[f167,f10])). 0.16/0.45 tff(f167,plain,( 0.16/0.45 ~$less($sum(c,0),2)), 0.16/0.45 inference(unit_resulting_resolution,[],[f10,f35])). 0.16/0.45 tff(f165,plain,( 0.16/0.45 spl0_7 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f164,f50,f75])). 0.16/0.45 tff(f75,plain,( 0.16/0.45 spl0_7 <=> $less($product(c,$sum(d,-3)),$product(2,$sum(d,-3)))), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 0.16/0.45 tff(f50,plain,( 0.16/0.45 spl0_4 <=> ! [X2 : $int,X1 : $int,X3 : $int] : (c != X1 | $less($product(X1,$sum(X2,-3)),$product(2,$sum(X3,-3))) | d != X3 | d != X2)), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 0.16/0.45 tff(f164,plain,( 0.16/0.45 $less($product(c,$sum(d,-3)),$product(2,$sum(d,-3))) | ~spl0_4), 0.16/0.45 inference(forward_demodulation,[],[f114,f10])). 0.16/0.45 tff(f114,plain,( 0.16/0.45 $less($product($sum(c,0),$sum(d,-3)),$product(2,$sum(d,-3))) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f94])). 0.16/0.45 tff(f94,plain,( 0.16/0.45 $less($product($sum(c,0),$sum($uminus($uminus(d)),-3)),$product(2,$sum($uminus($uminus(d)),-3))) | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f18,f18,f10,f51])). 0.16/0.45 tff(f51,plain,( 0.16/0.45 ( ! [X2 : $int,X3 : $int,X1 : $int] : ($less($product(X1,$sum(X2,-3)),$product(2,$sum(X3,-3))) | c != X1 | d != X3 | d != X2) ) | ~spl0_4), 0.16/0.45 inference(avatar_component_clause,[],[f50])). 0.16/0.45 tff(f163,plain,( 0.16/0.45 spl0_13 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f162,f50,f150])). 0.16/0.45 tff(f150,plain,( 0.16/0.45 spl0_13 <=> $less($product(c,$sum(-3,d)),$product(2,$sum(d,-3)))), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])). 0.16/0.45 tff(f162,plain,( 0.16/0.45 $less($product(c,$sum(-3,d)),$product(2,$sum(d,-3))) | ~spl0_4), 0.16/0.45 inference(forward_demodulation,[],[f115,f10])). 0.16/0.45 tff(f115,plain,( 0.16/0.45 $less($product($sum(c,0),$sum(-3,d)),$product(2,$sum(d,-3))) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f95])). 0.16/0.45 tff(f95,plain,( 0.16/0.45 $less($product($sum(c,0),$sum($sum(d,0),-3)),$product(2,$sum($uminus($uminus(d)),-3))) | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f10,f18,f10,f51])). 0.16/0.45 tff(f161,plain,( 0.16/0.45 spl0_12 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f160,f50,f139])). 0.16/0.45 tff(f139,plain,( 0.16/0.45 spl0_12 <=> $less($product(c,$sum(d,-3)),$product(2,$sum(-3,d)))), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 0.16/0.45 tff(f160,plain,( 0.16/0.45 $less($product(c,$sum(d,-3)),$product(2,$sum(-3,d))) | ~spl0_4), 0.16/0.45 inference(forward_demodulation,[],[f116,f10])). 0.16/0.45 tff(f116,plain,( 0.16/0.45 $less($product($sum(c,0),$sum(d,-3)),$product(2,$sum(-3,d))) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f96])). 0.16/0.45 tff(f96,plain,( 0.16/0.45 $less($product($sum(c,0),$sum($uminus($uminus(d)),-3)),$product(2,$sum($sum(d,0),-3))) | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f18,f10,f10,f51])). 0.16/0.45 tff(f159,plain,( 0.16/0.45 spl0_11 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f158,f50,f133])). 0.16/0.45 tff(f133,plain,( 0.16/0.45 spl0_11 <=> $less($product(c,$sum(-3,d)),$product(2,$sum(-3,d)))), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 0.16/0.45 tff(f158,plain,( 0.16/0.45 $less($product(c,$sum(-3,d)),$product(2,$sum(-3,d))) | ~spl0_4), 0.16/0.45 inference(forward_demodulation,[],[f117,f10])). 0.16/0.45 tff(f117,plain,( 0.16/0.45 $less($product($sum(c,0),$sum(-3,d)),$product(2,$sum(-3,d))) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f97])). 0.16/0.45 tff(f97,plain,( 0.16/0.45 $less($product($sum(c,0),$sum($sum(d,0),-3)),$product(2,$sum($sum(d,0),-3))) | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f10,f10,f10,f51])). 0.16/0.45 tff(f154,plain,( 0.16/0.45 spl0_13 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f119,f50,f150])). 0.16/0.45 tff(f119,plain,( 0.16/0.45 $less($product(c,$sum(-3,d)),$product(2,$sum(d,-3))) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f100])). 0.16/0.45 tff(f100,plain,( 0.16/0.45 $less($product($uminus($uminus(c)),$sum($sum(d,0),-3)),$product(2,$sum($uminus($uminus(d)),-3))) | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f18,f18,f10,f51])). 0.16/0.45 tff(f153,plain,( 0.16/0.45 spl0_13 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f148,f50,f150])). 0.16/0.45 tff(f148,plain,( 0.16/0.45 $less($product(c,$sum(-3,d)),$product(2,$sum(d,-3))) | ~spl0_4), 0.16/0.45 inference(forward_demodulation,[],[f120,f10])). 0.16/0.45 tff(f120,plain,( 0.16/0.45 $less($product($sum(c,0),$sum(-3,d)),$product(2,$sum(d,-3))) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f101])). 0.16/0.45 tff(f101,plain,( 0.16/0.45 $less($product($sum(c,0),$sum($sum(d,0),-3)),$product(2,$sum($uminus($uminus(d)),-3))) | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f10,f18,f10,f51])). 0.16/0.45 tff(f147,plain,( 0.16/0.45 spl0_11 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f121,f50,f133])). 0.16/0.45 tff(f121,plain,( 0.16/0.45 $less($product(c,$sum(-3,d)),$product(2,$sum(-3,d))) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f102])). 0.16/0.45 tff(f102,plain,( 0.16/0.45 $less($product($uminus($uminus(c)),$sum($sum(d,0),-3)),$product(2,$sum($sum(d,0),-3))) | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f18,f10,f10,f51])). 0.16/0.45 tff(f146,plain,( 0.16/0.45 spl0_11 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f145,f50,f133])). 0.16/0.45 tff(f145,plain,( 0.16/0.45 $less($product(c,$sum(-3,d)),$product(2,$sum(-3,d))) | ~spl0_4), 0.16/0.45 inference(forward_demodulation,[],[f122,f10])). 0.16/0.45 tff(f122,plain,( 0.16/0.45 $less($product($sum(c,0),$sum(-3,d)),$product(2,$sum(-3,d))) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f103])). 0.16/0.45 tff(f103,plain,( 0.16/0.45 $less($product($sum(c,0),$sum($sum(d,0),-3)),$product(2,$sum($sum(d,0),-3))) | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f10,f10,f10,f51])). 0.16/0.45 tff(f144,plain,( 0.16/0.45 spl0_12 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f123,f50,f139])). 0.16/0.45 tff(f123,plain,( 0.16/0.45 $less($product(c,$sum(d,-3)),$product(2,$sum(-3,d))) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f105])). 0.16/0.45 tff(f105,plain,( 0.16/0.45 $less($product($uminus($uminus(c)),$sum($uminus($uminus(d)),-3)),$product(2,$sum($sum(d,0),-3))) | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f18,f18,f10,f51])). 0.16/0.45 tff(f143,plain,( 0.16/0.45 spl0_11 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f124,f50,f133])). 0.16/0.45 tff(f124,plain,( 0.16/0.45 $less($product(c,$sum(-3,d)),$product(2,$sum(-3,d))) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f106])). 0.16/0.45 tff(f106,plain,( 0.16/0.45 $less($product($uminus($uminus(c)),$sum($sum(d,0),-3)),$product(2,$sum($sum(d,0),-3))) | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f10,f18,f10,f51])). 0.16/0.45 tff(f142,plain,( 0.16/0.45 spl0_12 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f137,f50,f139])). 0.16/0.45 tff(f137,plain,( 0.16/0.45 $less($product(c,$sum(d,-3)),$product(2,$sum(-3,d))) | ~spl0_4), 0.16/0.45 inference(forward_demodulation,[],[f125,f10])). 0.16/0.45 tff(f125,plain,( 0.16/0.45 $less($product($sum(c,0),$sum(d,-3)),$product(2,$sum(-3,d))) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f107])). 0.16/0.45 tff(f107,plain,( 0.16/0.45 $less($product($sum(c,0),$sum($uminus($uminus(d)),-3)),$product(2,$sum($sum(d,0),-3))) | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f18,f10,f10,f51])). 0.16/0.45 tff(f136,plain,( 0.16/0.45 spl0_11 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f131,f50,f133])). 0.16/0.45 tff(f131,plain,( 0.16/0.45 $less($product(c,$sum(-3,d)),$product(2,$sum(-3,d))) | ~spl0_4), 0.16/0.45 inference(forward_demodulation,[],[f126,f10])). 0.16/0.45 tff(f126,plain,( 0.16/0.45 $less($product($sum(c,0),$sum(-3,d)),$product(2,$sum(-3,d))) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f108])). 0.16/0.45 tff(f108,plain,( 0.16/0.45 $less($product($sum(c,0),$sum($sum(d,0),-3)),$product(2,$sum($sum(d,0),-3))) | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f10,f10,f10,f51])). 0.16/0.45 tff(f93,plain,( 0.16/0.45 spl0_8 | spl0_10 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f81,f50,f91,f84])). 0.16/0.45 tff(f84,plain,( 0.16/0.45 spl0_8 <=> ! [X0 : $int] : (d != X0 | $uminus(X0) != -3)), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 0.16/0.45 tff(f91,plain,( 0.16/0.45 spl0_10 <=> ! [X4 : $int,X3 : $int] : ($less($product(X3,0),$product(2,$sum(X4,-3))) | d != X4 | c != X3)), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 0.16/0.45 tff(f81,plain,( 0.16/0.45 ( ! [X3 : $int,X0 : $int,X4 : $int] : ($less($product(X3,0),$product(2,$sum(X4,-3))) | c != X3 | d != X4 | d != X0 | $uminus(X0) != -3) ) | ~spl0_4), 0.16/0.45 inference(constrained_superposition,[],[f51,f12])). 0.16/0.45 tff(f12,plain,( 0.16/0.45 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )), 0.16/0.45 introduced(theory_axiom_144,[])). 0.16/0.45 tff(f89,plain,( 0.16/0.45 spl0_8 | spl0_9 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f82,f50,f87,f84])). 0.16/0.45 tff(f87,plain,( 0.16/0.45 spl0_9 <=> ! [X2 : $int,X1 : $int] : ($less($product(X1,$sum(X2,-3)),0) | d != X2 | c != X1)), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 0.16/0.45 tff(f82,plain,( 0.16/0.45 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($product(X1,$sum(X2,-3)),0) | c != X1 | d != X0 | d != X2 | $uminus(X0) != -3) ) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f80])). 0.16/0.45 tff(f80,plain,( 0.16/0.45 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($product(X1,$sum(X2,-3)),$product(2,0)) | c != X1 | d != X0 | d != X2 | $uminus(X0) != -3) ) | ~spl0_4), 0.16/0.45 inference(constrained_superposition,[],[f51,f12])). 0.16/0.45 tff(f78,plain,( 0.16/0.45 spl0_7 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f68,f50,f75])). 0.16/0.45 tff(f68,plain,( 0.16/0.45 $less($product(c,$sum(d,-3)),$product(2,$sum(d,-3))) | ~spl0_4), 0.16/0.45 inference(evaluation,[],[f66])). 0.16/0.45 tff(f66,plain,( 0.16/0.45 $less($product($uminus($uminus(c)),$sum($uminus($uminus(d)),-3)),$product(2,$sum($uminus($uminus(d)),-3))) | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f18,f18,f18,f51])). 0.16/0.45 tff(f73,plain,( 0.16/0.45 ~spl0_6 | ~spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f67,f50,f70])). 0.16/0.45 tff(f70,plain,( 0.16/0.45 spl0_6 <=> 2 = c), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 0.16/0.45 tff(f67,plain,( 0.16/0.45 2 != c | ~spl0_4), 0.16/0.45 inference(unit_resulting_resolution,[],[f18,f18,f13,f51])). 0.16/0.45 tff(f13,plain,( 0.16/0.45 ( ! [X0 : $int] : (~$less(X0,X0)) )), 0.16/0.45 introduced(theory_axiom_146,[])). 0.16/0.45 tff(f65,plain,( 0.16/0.45 spl0_5 | ~spl0_3), 0.16/0.45 inference(avatar_split_clause,[],[f64,f47,f58])). 0.16/0.45 tff(f58,plain,( 0.16/0.45 spl0_5 <=> $less($product(c,d),6)), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 0.16/0.45 tff(f47,plain,( 0.16/0.45 spl0_3 <=> ! [X4 : $int,X5 : $int] : (c != X4 | $less($product(X4,X5),6) | d != X5)), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 0.16/0.45 tff(f64,plain,( 0.16/0.45 $less($product(c,d),6) | ~spl0_3), 0.16/0.45 inference(evaluation,[],[f63])). 0.16/0.45 tff(f63,plain,( 0.16/0.45 $less($product($uminus($uminus(c)),$uminus($uminus(d))),6) | ~spl0_3), 0.16/0.45 inference(unit_resulting_resolution,[],[f18,f18,f48])). 0.16/0.45 tff(f48,plain,( 0.16/0.45 ( ! [X4 : $int,X5 : $int] : ($less($product(X4,X5),6) | c != X4 | d != X5) ) | ~spl0_3), 0.16/0.45 inference(avatar_component_clause,[],[f47])). 0.16/0.45 tff(f62,plain,( 0.16/0.45 ~spl0_5 | ~spl0_1), 0.16/0.45 inference(avatar_split_clause,[],[f55,f40,f58])). 0.16/0.45 tff(f40,plain,( 0.16/0.45 spl0_1 <=> ! [X4 : $int,X5 : $int] : (c != X4 | ~$less($product(X4,X5),6) | d != X5)), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 0.16/0.45 tff(f55,plain,( 0.16/0.45 ~$less($product(c,d),6) | ~spl0_1), 0.16/0.45 inference(evaluation,[],[f53])). 0.16/0.45 tff(f53,plain,( 0.16/0.45 ~$less($product($uminus($uminus(c)),$uminus($uminus(d))),6) | ~spl0_1), 0.16/0.45 inference(unit_resulting_resolution,[],[f18,f18,f41])). 0.16/0.45 tff(f41,plain,( 0.16/0.45 ( ! [X4 : $int,X5 : $int] : (~$less($product(X4,X5),6) | c != X4 | d != X5) ) | ~spl0_1), 0.16/0.45 inference(avatar_component_clause,[],[f40])). 0.16/0.45 tff(f61,plain,( 0.16/0.45 ~spl0_5 | ~spl0_1), 0.16/0.45 inference(avatar_split_clause,[],[f56,f40,f58])). 0.16/0.45 tff(f56,plain,( 0.16/0.45 ~$less($product(c,d),6) | ~spl0_1), 0.16/0.45 inference(evaluation,[],[f54])). 0.16/0.45 tff(f54,plain,( 0.16/0.45 ~$less($product($uminus($uminus(c)),$uminus($uminus(d))),6) | ~spl0_1), 0.16/0.45 inference(unit_resulting_resolution,[],[f18,f18,f41])). 0.16/0.45 tff(f52,plain,( 0.16/0.45 spl0_3 | spl0_4), 0.16/0.45 inference(avatar_split_clause,[],[f37,f50,f47])). 0.16/0.45 tff(f37,plain,( 0.16/0.45 ( ! [X2 : $int,X3 : $int,X1 : $int,X4 : $int,X5 : $int] : (c != X1 | d != X2 | d != X3 | $less($product(X1,$sum(X2,-3)),$product(2,$sum(X3,-3))) | c != X4 | d != X5 | $less($product(X4,X5),6)) )), 0.16/0.45 inference(evaluation,[],[f33])). 0.16/0.45 tff(f33,plain,( 0.16/0.45 ( ! [X2 : $int,X3 : $int,X1 : $int,X4 : $int,X5 : $int] : (c != X1 | d != X2 | d != X3 | $less($product(X1,$sum(X2,$uminus(3))),$product(2,$sum(X3,$uminus(3)))) | c != X4 | d != X5 | $less($product(X4,X5),$product(2,3))) )), 0.16/0.45 inference(theory_flattening,[],[f29])). 0.16/0.45 tff(f29,plain,( 0.16/0.45 $less($product(c,$sum(d,$uminus(3))),$product(2,$sum(d,$uminus(3)))) | $less($product(c,d),$product(2,3))), 0.16/0.45 inference(cnf_transformation,[],[f27])). 0.16/0.45 tff(f27,plain,( 0.16/0.45 ($less($product(c,$sum(d,$uminus(3))),$product(2,$sum(d,$uminus(3)))) | $less($product(c,d),$product(2,3))) & (~$less($product(c,$sum(d,$uminus(3))),$product(2,$sum(d,$uminus(3)))) | ~$less($product(c,d),$product(2,3)))), 0.16/0.45 inference(nnf_transformation,[],[f26])). 0.16/0.45 tff(f26,plain,( 0.16/0.45 ~$less($product(c,d),$product(2,3)) <~> ~$less($product(c,$sum(d,$uminus(3))),$product(2,$sum(d,$uminus(3))))), 0.16/0.45 inference(ennf_transformation,[],[f5])). 0.16/0.45 tff(f5,plain,( 0.16/0.45 ~(~$less($product(c,d),$product(2,3)) <=> ~$less($product(c,$sum(d,$uminus(3))),$product(2,$sum(d,$uminus(3)))))), 0.16/0.45 inference(theory_normalization,[],[f3])). 0.16/0.45 tff(f3,negated_conjecture,( 0.16/0.45 ~($lesseq($product(2,3),$product(c,d)) <=> $lesseq($product(2,$difference(d,3)),$product(c,$difference(d,3))))), 0.16/0.45 inference(negated_conjecture,[],[f2])). 0.16/0.45 tff(f2,conjecture,( 0.16/0.45 $lesseq($product(2,3),$product(c,d)) <=> $lesseq($product(2,$difference(d,3)),$product(c,$difference(d,3)))), 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_002)). 0.16/0.45 tff(f45,plain,( 0.16/0.45 spl0_1 | spl0_2), 0.16/0.45 inference(avatar_split_clause,[],[f38,f43,f40])). 0.16/0.45 tff(f43,plain,( 0.16/0.45 spl0_2 <=> ! [X2 : $int,X1 : $int,X3 : $int] : (c != X1 | ~$less($product(X1,$sum(X2,-3)),$product(2,$sum(X3,-3))) | d != X3 | d != X2)), 0.16/0.45 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 0.16/0.45 tff(f38,plain,( 0.16/0.45 ( ! [X2 : $int,X3 : $int,X1 : $int,X4 : $int,X5 : $int] : (c != X1 | d != X2 | d != X3 | ~$less($product(X1,$sum(X2,-3)),$product(2,$sum(X3,-3))) | c != X4 | d != X5 | ~$less($product(X4,X5),6)) )), 0.16/0.45 inference(evaluation,[],[f34])). 0.16/0.45 tff(f34,plain,( 0.16/0.45 ( ! [X2 : $int,X3 : $int,X1 : $int,X4 : $int,X5 : $int] : (c != X1 | d != X2 | d != X3 | ~$less($product(X1,$sum(X2,$uminus(3))),$product(2,$sum(X3,$uminus(3)))) | c != X4 | d != X5 | ~$less($product(X4,X5),$product(2,3))) )), 0.16/0.45 inference(theory_flattening,[],[f28])). 0.16/0.45 tff(f28,plain,( 0.16/0.45 ~$less($product(c,$sum(d,$uminus(3))),$product(2,$sum(d,$uminus(3)))) | ~$less($product(c,d),$product(2,3))), 0.16/0.45 inference(cnf_transformation,[],[f27])). 0.16/0.45 % SZS output end Proof for theBenchmark 0.16/0.45 % (4385)------------------------------ 0.16/0.45 % (4385)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.16/0.45 % (4385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.16/0.45 % (4385)Termination reason: Refutation 0.16/0.45 0.16/0.45 % (4385)Memory used [KB]: 6524 0.16/0.45 % (4385)Time elapsed: 0.072 s 0.16/0.45 % (4385)------------------------------ 0.16/0.45 % (4385)------------------------------ 0.16/0.45 % (4377)Success in time 0.129 s 0.16/0.45 EOF