0.04/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % Command : run_vampire %s %d 0.12/0.33 Computer : n018.cluster.edu 0.12/0.33 Model : x86_64 x86_64 0.12/0.33 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 RAMPerCPU : 8042.1875MB 0.12/0.33 OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 02:11:30 EDT 2022 0.12/0.33 % CPUTime : 0.20/0.40 % (5470)ott-2_64_add=large:afr=on:afp=4000:afq=1.1:amm=sco:anc=none:bd=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:newcnf=on:nwc=1:sac=on:sp=occurrence:thf=on:updr=off:uhcvi=on_154 on theBenchmark 0.20/0.41 % (5469)dis+10_10_add=large:afp=4000:afq=1.1:amm=sco:anc=none:irw=on:lcm=reverse:lma=on:nm=6:nwc=1:sos=all:sac=on:sp=reverse_arity:urr=on_30 on theBenchmark 0.20/0.41 % (5468)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_229 on theBenchmark 0.20/0.45 % (5460)dis+11_4_afp=100000:afq=1.1:anc=none:cond=on:gs=on:gsaa=full_model:nm=64:nwc=1:sac=on:sp=reverse_arity:thi=all_2 on theBenchmark 0.20/0.45 % (5466)lrs+10_2_add=off:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=fast:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:nm=64:nwc=1:sas=z3:stl=30:sos=all:sp=occurrence:tha=off:thf=on:urr=on:updr=off:uhcvi=on_2 on theBenchmark 0.20/0.46 % (5471)dis+11_3_afr=on:afp=4000:afq=1.4:amm=off:anc=none:bd=preordered:bce=on:fsr=off:fde=none:gs=on:gsem=on:irw=on:lma=on:nm=6:nwc=1:sd=10:ss=axioms:st=5.0:sac=on:sp=occurrence:tha=off:urr=ec_only_85 on theBenchmark 0.20/0.46 % (5465)dis+11_3_add=off:afp=10000:afq=2.0:amm=sco:anc=none:ep=RST:gs=on:gsaa=from_current:gsem=on:inw=on:nm=64:nwc=1:sd=10:ss=axioms:st=5.0:sos=all:tha=off:updr=off:uhcvi=on_59 on theBenchmark 0.20/0.46 % (5464)dis+10_1_add=off:afp=40000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:irw=on:nm=64:nwc=1:sas=z3:sac=on_2 on theBenchmark 0.20/0.46 % (5463)dis+10_5_add=off:afp=4000:afq=1.1:anc=none:cond=fast:ep=RSTC:fsr=off:gs=on:gsem=on:lwlo=on:nm=64:nwc=1:sp=reverse_arity:thi=all_3 on theBenchmark 0.20/0.46 % (5471)Refutation not found, incomplete strategy% (5471)------------------------------ 0.20/0.46 % (5471)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.46 % (5471)Termination reason: Refutation not found, incomplete strategy 0.20/0.46 0.20/0.46 % (5471)Memory used [KB]: 10362 0.20/0.46 % (5471)Time elapsed: 0.053 s 0.20/0.46 % (5471)------------------------------ 0.20/0.46 % (5471)------------------------------ 0.20/0.46 % (5472)ott-11_3_add=large:afp=100000:afq=1.2:anc=none:bs=on:cond=fast:fde=none:gs=on:gsem=off:lma=on:lwlo=on:nm=64:newcnf=on:nwc=1:sos=all:sp=occurrence:tha=off:urr=on:uhcvi=on_268 on theBenchmark 0.20/0.46 % (5467)lrs+1_1024_av=off:bs=on:fde=none:inw=on:irw=on:nm=64:nwc=1.2:stl=60:sp=reverse_arity:tha=off:urr=on:updr=off:uhcvi=on_595 on theBenchmark 0.20/0.46 % (5462)lrs+1010_4:1_aac=none:add=off:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=on:gs=on:gsem=on:irw=on:nm=0:nwc=2.5:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_2 on theBenchmark 0.20/0.47 % (5472)Refutation not found, incomplete strategy% (5472)------------------------------ 0.20/0.47 % (5472)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.47 % (5472)Termination reason: Refutation not found, incomplete strategy 0.20/0.47 0.20/0.47 % (5472)Memory used [KB]: 10362 0.20/0.47 % (5472)Time elapsed: 0.062 s 0.20/0.47 % (5472)------------------------------ 0.20/0.47 % (5472)------------------------------ 0.20/0.47 % (5461)ott+1010_2:1_awrs=decay:awrsf=512:acc=on:add=off:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:ccuc=first:fsr=off:fde=unused:gsp=input_only:gs=on:gsaa=from_current:irw=on:nm=32:newcnf=on:nwc=1:sos=theory:sp=occurrence:tha=some:uwa=interpreted_only:updr=off_8 on theBenchmark 0.20/0.47 % (5461)Refutation not found, incomplete strategy% (5461)------------------------------ 0.20/0.47 % (5461)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.47 % (5461)Termination reason: Refutation not found, incomplete strategy 0.20/0.47 0.20/0.47 % (5461)Memory used [KB]: 10362 0.20/0.47 % (5461)Time elapsed: 0.061 s 0.20/0.47 % (5461)------------------------------ 0.20/0.47 % (5461)------------------------------ 0.20/0.48 % (5467)Refutation not found, incomplete strategy% (5467)------------------------------ 0.20/0.48 % (5467)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.48 % (5467)Termination reason: Refutation not found, incomplete strategy 0.20/0.48 0.20/0.48 % (5467)Memory used [KB]: 1407 0.20/0.48 % (5467)Time elapsed: 0.054 s 0.20/0.48 % (5467)------------------------------ 0.20/0.48 % (5467)------------------------------ 0.20/0.49 % (5468)Refutation found. Thanks to Tanya! 0.20/0.49 % SZS status Theorem for theBenchmark 0.20/0.49 % SZS output start Proof for theBenchmark 0.20/0.49 tff(func_def_0, type, a: $int). 0.20/0.49 tff(func_def_1, type, b: $int). 0.20/0.49 tff(func_def_2, type, c: $int). 0.20/0.49 tff(f517,plain,( 0.20/0.49 $false), 0.20/0.49 inference(avatar_sat_refutation,[],[f47,f52,f57,f62,f81,f85,f88,f92,f95,f99,f102,f114,f124,f134,f154,f161,f165,f169,f173,f180,f181,f326,f327,f333,f337,f338,f339,f341,f342,f345,f348,f351,f354,f355,f356,f359,f363,f365,f367,f370,f372,f374,f376,f379,f381,f385,f389,f393,f397,f399,f401,f405,f407,f409,f411,f413,f415,f417,f419,f421,f423,f427,f431,f435,f439,f441,f443,f446,f448,f451,f454,f457,f460,f463,f466,f469,f472,f477,f482,f487,f492,f495,f498,f502,f505,f509,f516])). 0.20/0.49 tff(f516,plain,( 0.20/0.49 spl0_26 | spl0_20 | spl0_27 | ~spl0_7), 0.20/0.49 inference(avatar_split_clause,[],[f259,f60,f514,f178,f511])). 0.20/0.49 tff(f511,plain,( 0.20/0.49 spl0_26 <=> ! [X1 : $int] : 0 != X1), 0.20/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])). 0.20/0.49 tff(f178,plain,( 0.20/0.49 spl0_20 <=> ! [X0 : $int] : a != X0), 0.20/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])). 0.20/0.49 tff(f514,plain,( 0.20/0.49 spl0_27 <=> ! [X2 : $int] : (0 != $product(0,X2) | c != X2)), 0.20/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_27])])). 0.20/0.49 tff(f60,plain,( 0.20/0.49 spl0_7 <=> ! [X1 : $int,X3 : $int,X2 : $int,X4 : $int] : (a != X1 | 0 != $product($product($product(X1,X2),X3),X4) | c != X4 | 0 != X3 | 0 != X2)), 0.20/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 0.20/0.49 tff(f259,plain,( 0.20/0.49 ( ! [X2:$int,X0:$int,X1:$int] : (0 != $product(0,X2) | a != X0 | c != X2 | 0 != X1) ) | ~spl0_7), 0.20/0.49 inference(trivial_inequality_removal,[],[f255])). 0.20/0.49 tff(f255,plain,( 0.20/0.49 ( ! [X2:$int,X0:$int,X1:$int] : (0 != $product(0,X2) | a != X0 | c != X2 | 0 != 0 | 0 != X1) ) | ~spl0_7), 0.20/0.49 inference(superposition,[],[f61,f17])). 0.20/0.49 tff(f17,plain,( 0.20/0.49 ( ! [X0:$int] : (0 = $product(X0,0)) )), 0.20/0.49 introduced(theory_axiom,[])). 0.20/0.49 tff(f61,plain,( 0.20/0.49 ( ! [X4:$int,X2:$int,X3:$int,X1:$int] : (0 != $product($product($product(X1,X2),X3),X4) | a != X1 | c != X4 | 0 != X3 | 0 != X2) ) | ~spl0_7), 0.20/0.49 inference(avatar_component_clause,[],[f60])). 0.20/0.49 tff(f509,plain,( 0.20/0.49 spl0_20 | spl0_25 | ~spl0_7), 0.20/0.49 inference(avatar_split_clause,[],[f260,f60,f507,f178])). 0.20/0.49 tff(f507,plain,( 0.20/0.49 spl0_25 <=> ! [X1 : $int,X2 : $int] : (0 != $product($product(0,X1),X2) | 0 != X1 | c != X2)), 0.20/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])). 0.20/0.49 tff(f260,plain,( 0.20/0.49 ( ! [X2:$int,X0:$int,X1:$int] : (0 != $product($product(0,X1),X2) | a != X0 | c != X2 | 0 != X1) ) | ~spl0_7), 0.20/0.49 inference(trivial_inequality_removal,[],[f254])). 0.20/0.49 tff(f254,plain,( 0.20/0.49 ( ! [X2:$int,X0:$int,X1:$int] : (0 != $product($product(0,X1),X2) | a != X0 | c != X2 | 0 != X1 | 0 != 0) ) | ~spl0_7), 0.20/0.49 inference(superposition,[],[f61,f17])). 0.20/0.49 tff(f505,plain,( 0.20/0.49 spl0_24 | ~spl0_7), 0.20/0.49 inference(avatar_split_clause,[],[f504,f60,f361])). 0.20/0.49 tff(f361,plain,( 0.20/0.49 spl0_24 <=> ! [X1 : $int,X0 : $int] : 0 != $product($product(0,$product(a,$product(X0,X1))),c)), 0.20/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])). 0.20/0.49 tff(f504,plain,( 0.20/0.49 ( ! [X0:$int,X1:$int] : (0 != $product($product(0,$product(a,$product(X0,X1))),c)) ) | ~spl0_7), 0.20/0.49 inference(forward_demodulation,[],[f503,f5])). 0.20/0.49 tff(f5,plain,( 0.20/0.49 ( ! [X0:$int] : ($sum(X0,0) = X0) )), 0.20/0.49 introduced(theory_axiom,[])). 0.20/0.49 tff(f503,plain,( 0.20/0.49 ( ! [X0:$int,X1:$int] : (0 != $product($product(0,$product($sum(a,0),$product(X0,X1))),c)) ) | ~spl0_7), 0.20/0.49 inference(forward_demodulation,[],[f261,f5])). 0.20/0.49 tff(f261,plain,( 0.20/0.49 ( ! [X0:$int,X1:$int] : (0 != $product($product(0,$product($sum(a,0),$product(X0,X1))),$sum(c,0))) ) | ~spl0_7), 0.20/0.49 inference(evaluation,[],[f182])). 0.20/0.49 tff(f182,plain,( 0.20/0.49 ( ! [X0:$int,X1:$int] : (0 != $product($product($product($sum(a,0),$product(X0,0)),$product(X1,0)),$sum(c,0))) ) | ~spl0_7), 0.20/0.49 inference(unit_resulting_resolution,[],[f17,f17,f5,f5,f61])). 0.20/0.49 tff(f502,plain,( 0.20/0.49 ~spl0_22 | ~spl0_3 | ~spl0_7), 0.20/0.49 inference(avatar_split_clause,[],[f501,f60,f41,f330])). 0.20/0.49 tff(f330,plain,( 0.20/0.49 spl0_22 <=> 0 = $product(0,c)), 0.20/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_22])])). 0.20/0.49 tff(f41,plain,( 0.20/0.49 spl0_3 <=> 0 = b), 0.20/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 0.20/0.49 tff(f501,plain,( 0.20/0.49 0 != $product(0,c) | (~spl0_3 | ~spl0_7)), 0.20/0.49 inference(forward_demodulation,[],[f500,f17])). 0.20/0.49 tff(f500,plain,( 0.20/0.49 0 != $product($product($product($sum(a,0),b),0),c) | (~spl0_3 | ~spl0_7)), 0.20/0.49 inference(forward_demodulation,[],[f499,f17])). 0.20/0.49 tff(f499,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product($product($sum(a,0),b),$product(X0,0)),c)) ) | (~spl0_3 | ~spl0_7)), 0.20/0.49 inference(forward_demodulation,[],[f183,f5])). 0.20/0.49 tff(f183,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product($product($sum(a,0),b),$product(X0,0)),$sum(c,0))) ) | (~spl0_3 | ~spl0_7)), 0.20/0.49 inference(unit_resulting_resolution,[],[f43,f17,f5,f5,f61])). 0.20/0.49 tff(f43,plain,( 0.20/0.49 0 = b | ~spl0_3), 0.20/0.49 inference(avatar_component_clause,[],[f41])). 0.20/0.49 tff(f498,plain,( 0.20/0.49 spl0_23 | ~spl0_7), 0.20/0.49 inference(avatar_split_clause,[],[f497,f60,f335])). 0.20/0.49 tff(f335,plain,( 0.20/0.49 spl0_23 <=> ! [X0 : $int] : 0 != $product($product(0,$product(a,X0)),c)), 0.20/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])). 0.20/0.49 tff(f497,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product(0,$product(a,X0)),c)) ) | ~spl0_7), 0.20/0.49 inference(forward_demodulation,[],[f496,f5])). 0.20/0.49 tff(f496,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product(0,$product($sum(a,0),X0)),c)) ) | ~spl0_7), 0.20/0.49 inference(forward_demodulation,[],[f262,f5])). 0.20/0.49 tff(f262,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product(0,$product($sum(a,0),X0)),$sum(c,0))) ) | ~spl0_7), 0.20/0.49 inference(evaluation,[],[f184])). 0.20/0.49 tff(f184,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product($product($sum(a,0),$sum(0,0)),$product(X0,0)),$sum(c,0))) ) | ~spl0_7), 0.20/0.49 inference(unit_resulting_resolution,[],[f5,f17,f5,f5,f61])). 0.20/0.49 tff(f495,plain,( 0.20/0.49 spl0_23 | ~spl0_7), 0.20/0.49 inference(avatar_split_clause,[],[f494,f60,f335])). 0.20/0.49 tff(f494,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product(0,$product(a,X0)),c)) ) | ~spl0_7), 0.20/0.49 inference(forward_demodulation,[],[f493,f5])). 0.20/0.49 tff(f493,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product(0,$product($sum(a,0),X0)),c)) ) | ~spl0_7), 0.20/0.49 inference(forward_demodulation,[],[f263,f5])). 0.20/0.49 tff(f263,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product(0,$product($sum(a,0),X0)),$sum(c,0))) ) | ~spl0_7), 0.20/0.49 inference(evaluation,[],[f185])). 0.20/0.49 tff(f185,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product($product($sum(a,0),$uminus($uminus(0))),$product(X0,0)),$sum(c,0))) ) | ~spl0_7), 0.20/0.49 inference(unit_resulting_resolution,[],[f13,f17,f5,f5,f61])). 0.20/0.49 tff(f13,plain,( 0.20/0.49 ( ! [X0:$int] : ($uminus($uminus(X0)) = X0) )), 0.20/0.49 introduced(theory_axiom,[])). 0.20/0.49 tff(f492,plain,( 0.20/0.49 spl0_23 | ~spl0_3 | ~spl0_7), 0.20/0.49 inference(avatar_split_clause,[],[f491,f60,f41,f335])). 0.20/0.49 tff(f491,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product(0,$product(a,X0)),c)) ) | (~spl0_3 | ~spl0_7)), 0.20/0.49 inference(forward_demodulation,[],[f490,f5])). 0.20/0.49 tff(f490,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product(0,$product($sum(a,0),X0)),c)) ) | (~spl0_3 | ~spl0_7)), 0.20/0.49 inference(evaluation,[],[f489])). 0.20/0.49 tff(f489,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product($product($sum(a,0),$product(X0,0)),0),c)) ) | (~spl0_3 | ~spl0_7)), 0.20/0.49 inference(forward_demodulation,[],[f488,f43])). 0.20/0.49 tff(f488,plain,( 0.20/0.49 ( ! [X0:$int] : (0 != $product($product($product($sum(a,0),$product(X0,0)),b),c)) ) | (~spl0_3 | ~spl0_7)), 0.20/0.49 inference(forward_demodulation,[],[f186,f5])). 0.20/0.49 tff(f186,plain,( 0.20/0.49 ( ! 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[X0:$int] : (0 != $product($product($product($uminus($uminus(a)),$product(X0,0)),$uminus($uminus(0))),$uminus($uminus(c)))) ) | ~spl0_7), 0.20/0.49 inference(unit_resulting_resolution,[],[f17,f13,f13,f13,f61])). 0.20/0.49 tff(f333,plain,( 0.20/0.49 ~spl0_22 | ~spl0_3 | ~spl0_7), 0.20/0.49 inference(avatar_split_clause,[],[f328,f60,f41,f330])). 0.20/0.49 tff(f328,plain,( 0.20/0.49 0 != $product(0,c) | (~spl0_3 | ~spl0_7)), 0.20/0.49 inference(forward_demodulation,[],[f319,f17])). 0.20/0.49 tff(f319,plain,( 0.20/0.49 0 != $product($product($product(a,b),0),c) | (~spl0_3 | ~spl0_7)), 0.20/0.49 inference(evaluation,[],[f243])). 0.20/0.49 tff(f243,plain,( 0.20/0.49 0 != $product($product($product($uminus($uminus(a)),b),$uminus($uminus(0))),$uminus($uminus(c))) | (~spl0_3 | ~spl0_7)), 0.20/0.49 inference(unit_resulting_resolution,[],[f43,f13,f13,f13,f61])). 0.20/0.49 tff(f327,plain,( 0.20/0.49 ~spl0_21 | ~spl0_7), 0.20/0.49 inference(avatar_split_clause,[],[f320,f60,f323])). 0.20/0.49 tff(f320,plain,( 0.20/0.49 0 != $product($product(0,a),c) | ~spl0_7), 0.20/0.49 inference(evaluation,[],[f244])). 0.20/0.49 tff(f244,plain,( 0.20/0.49 0 != $product($product($product($uminus($uminus(a)),$sum(0,0)),$uminus($uminus(0))),$uminus($uminus(c))) | ~spl0_7), 0.20/0.49 inference(unit_resulting_resolution,[],[f5,f13,f13,f13,f61])). 0.20/0.49 tff(f326,plain,( 0.20/0.49 ~spl0_21 | ~spl0_7), 0.20/0.49 inference(avatar_split_clause,[],[f321,f60,f323])). 0.20/0.49 tff(f321,plain,( 0.20/0.49 0 != $product($product(0,a),c) | ~spl0_7), 0.20/0.49 inference(evaluation,[],[f245])). 0.20/0.49 tff(f245,plain,( 0.20/0.49 0 != $product($product($product($uminus($uminus(a)),$uminus($uminus(0))),$uminus($uminus(0))),$uminus($uminus(c))) | ~spl0_7), 0.20/0.49 inference(unit_resulting_resolution,[],[f13,f13,f13,f13,f61])). 0.20/0.49 tff(f181,plain,( 0.20/0.49 spl0_13 | spl0_13 | spl0_20 | ~spl0_5), 0.20/0.49 inference(avatar_split_clause,[],[f148,f50,f178,f126,f126])). 0.20/0.49 tff(f126,plain,( 0.20/0.49 spl0_13 <=> ! [X2 : $int] : b != X2), 0.20/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])). 0.20/0.49 tff(f50,plain,( 0.20/0.49 spl0_5 <=> ! [X1 : $int,X3 : $int,X2 : $int,X4 : $int] : (a != X1 | 0 != $product($product($product(X1,X2),X3),X4) | 0 != X4 | b != X3 | b != X2)), 0.20/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 0.20/0.49 tff(f148,plain,( 0.20/0.49 ( ! [X6:$int,X4:$int,X5:$int] : (a != X4 | b != X6 | b != X5) ) | ~spl0_5), 0.20/0.49 inference(trivial_inequality_removal,[],[f147])). 0.20/0.49 tff(f147,plain,( 0.20/0.49 ( ! [X6:$int,X4:$int,X5:$int] : (0 != 0 | a != X4 | b != X6 | b != X5) ) | ~spl0_5), 0.20/0.49 inference(duplicate_literal_removal,[],[f145])). 0.20/0.49 tff(f145,plain,( 0.20/0.49 ( ! [X6:$int,X4:$int,X5:$int] : (0 != 0 | a != X4 | 0 != 0 | b != X6 | b != X5) ) | ~spl0_5), 0.20/0.49 inference(superposition,[],[f51,f17])). 0.20/0.49 tff(f51,plain,( 0.20/0.49 ( ! [X4:$int,X2:$int,X3:$int,X1:$int] : (0 != $product($product($product(X1,X2),X3),X4) | a != X1 | 0 != X4 | b != X3 | b != X2) ) | ~spl0_5), 0.20/0.49 inference(avatar_component_clause,[],[f50])). 0.20/0.49 tff(f180,plain,( 0.20/0.49 spl0_13 | spl0_13 | spl0_19 | spl0_20 | ~spl0_4 | ~spl0_5), 0.20/0.49 inference(avatar_split_clause,[],[f150,f50,f45,f178,f175,f126,f126])). 0.20/0.49 tff(f175,plain,( 0.20/0.49 spl0_19 <=> ! [X3 : $int] : (0 != X3 | c != X3)), 0.20/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])). 0.20/0.50 tff(f45,plain,( 0.20/0.50 spl0_4 <=> ! [X1 : $int,X3 : $int,X2 : $int,X4 : $int] : (a != X1 | 0 = $product($product($product(X1,X2),X3),X4) | c != X4 | b != X3 | b != X2)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 0.20/0.50 tff(f150,plain,( 0.20/0.50 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (a != X0 | 0 != X3 | b != X2 | b != X1 | c != X3) ) | (~spl0_4 | ~spl0_5)), 0.20/0.50 inference(trivial_inequality_removal,[],[f149])). 0.20/0.50 tff(f149,plain,( 0.20/0.50 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (0 != 0 | a != X0 | 0 != X3 | b != X2 | b != X1 | c != X3) ) | (~spl0_4 | ~spl0_5)), 0.20/0.50 inference(duplicate_literal_removal,[],[f144])). 0.20/0.50 tff(f144,plain,( 0.20/0.50 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (0 != 0 | a != X0 | 0 != X3 | b != X2 | b != X1 | a != X0 | c != X3 | b != X2 | b != X1) ) | (~spl0_4 | ~spl0_5)), 0.20/0.50 inference(superposition,[],[f51,f46])). 0.20/0.50 tff(f46,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X3:$int,X1:$int] : (0 = $product($product($product(X1,X2),X3),X4) | a != X1 | c != X4 | b != X3 | b != X2) ) | ~spl0_4), 0.20/0.50 inference(avatar_component_clause,[],[f45])). 0.20/0.50 tff(f173,plain,( 0.20/0.50 spl0_13 | spl0_10 | spl0_14 | spl0_18 | ~spl0_4 | ~spl0_5), 0.20/0.50 inference(avatar_split_clause,[],[f151,f50,f45,f171,f129,f116,f126])). 0.20/0.50 tff(f116,plain,( 0.20/0.50 spl0_10 <=> ! [X3 : $int] : (b != X3 | c != X3)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 0.20/0.50 tff(f129,plain,( 0.20/0.50 spl0_14 <=> ! [X1 : $int,X0 : $int] : (a != $product(X0,X1) | b != X1 | a != X0)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])). 0.20/0.50 tff(f171,plain,( 0.20/0.50 spl0_18 <=> ! [X4 : $int] : (0 != $product(0,X4) | 0 != X4)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])). 0.20/0.50 tff(f151,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X0:$int,X3:$int,X1:$int] : (0 != $product(0,X4) | a != $product(X0,X1) | 0 != X4 | b != X3 | b != X2 | a != X0 | c != X3 | b != X1) ) | (~spl0_4 | ~spl0_5)), 0.20/0.50 inference(duplicate_literal_removal,[],[f142])). 0.20/0.50 tff(f142,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X0:$int,X3:$int,X1:$int] : (0 != $product(0,X4) | a != $product(X0,X1) | 0 != X4 | b != X3 | b != X2 | a != X0 | c != X3 | b != X2 | b != X1) ) | (~spl0_4 | ~spl0_5)), 0.20/0.50 inference(superposition,[],[f51,f46])). 0.20/0.50 tff(f169,plain,( 0.20/0.50 spl0_10 | spl0_11 | spl0_17 | ~spl0_4 | ~spl0_5), 0.20/0.50 inference(avatar_split_clause,[],[f140,f50,f45,f167,f119,f116])). 0.20/0.50 tff(f119,plain,( 0.20/0.50 spl0_11 <=> ! [X1 : $int,X0 : $int,X2 : $int] : (a != $product($product(X0,X1),X2) | b != X1 | b != X2 | a != X0)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 0.20/0.50 tff(f167,plain,( 0.20/0.50 spl0_17 <=> ! [X5 : $int,X4 : $int] : (0 != $product($product(0,X4),X5) | b != X4 | 0 != X5)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])). 0.20/0.50 tff(f140,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X0:$int,X5:$int,X3:$int,X1:$int] : (0 != $product($product(0,X4),X5) | a != $product($product(X0,X1),X2) | 0 != X5 | b != X4 | b != X3 | a != X0 | c != X3 | b != X2 | b != X1) ) | (~spl0_4 | ~spl0_5)), 0.20/0.50 inference(superposition,[],[f51,f46])). 0.20/0.50 tff(f165,plain,( 0.20/0.50 ~spl0_16 | ~spl0_5), 0.20/0.50 inference(avatar_split_clause,[],[f164,f50,f158])). 0.20/0.50 tff(f158,plain,( 0.20/0.50 spl0_16 <=> 0 = $product($product($product(a,b),b),0)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])). 0.20/0.50 tff(f164,plain,( 0.20/0.50 0 != $product($product($product(a,b),b),0) | ~spl0_5), 0.20/0.50 inference(forward_demodulation,[],[f163,f5])). 0.20/0.50 tff(f163,plain,( 0.20/0.50 0 != $product($product($product($sum(a,0),b),b),0) | ~spl0_5), 0.20/0.50 inference(forward_demodulation,[],[f162,f5])). 0.20/0.50 tff(f162,plain,( 0.20/0.50 0 != $product($product($product($sum(a,0),$sum(b,0)),$sum(b,0)),0) | ~spl0_5), 0.20/0.50 inference(forward_demodulation,[],[f137,f17])). 0.20/0.50 tff(f137,plain,( 0.20/0.50 ( ! [X0:$int] : (0 != $product($product($product($sum(a,0),$sum(b,0)),$sum(b,0)),$product(X0,0))) ) | ~spl0_5), 0.20/0.50 inference(unit_resulting_resolution,[],[f5,f5,f17,f5,f51])). 0.20/0.50 tff(f161,plain,( 0.20/0.50 ~spl0_16 | ~spl0_5), 0.20/0.50 inference(avatar_split_clause,[],[f156,f50,f158])). 0.20/0.50 tff(f156,plain,( 0.20/0.50 0 != $product($product($product(a,b),b),0) | ~spl0_5), 0.20/0.50 inference(forward_demodulation,[],[f155,f5])). 0.20/0.50 tff(f155,plain,( 0.20/0.50 0 != $product($product($product($sum(a,0),b),b),0) | ~spl0_5), 0.20/0.50 inference(forward_demodulation,[],[f152,f5])). 0.20/0.50 tff(f152,plain,( 0.20/0.50 0 != $product($product($product($sum(a,0),$sum(b,0)),$sum(b,0)),0) | ~spl0_5), 0.20/0.50 inference(evaluation,[],[f138])). 0.20/0.50 tff(f138,plain,( 0.20/0.50 0 != $product($product($product($sum(a,0),$sum(b,0)),$sum(b,0)),$sum(0,0)) | ~spl0_5), 0.20/0.50 inference(unit_resulting_resolution,[],[f5,f5,f5,f5,f51])). 0.20/0.50 tff(f154,plain,( 0.20/0.50 ~spl0_5), 0.20/0.50 inference(avatar_contradiction_clause,[],[f153])). 0.20/0.50 tff(f153,plain,( 0.20/0.50 $false | ~spl0_5), 0.20/0.50 inference(trivial_inequality_removal,[],[f139])). 0.20/0.50 tff(f139,plain,( 0.20/0.50 0 != 0 | ~spl0_5), 0.20/0.50 inference(unit_resulting_resolution,[],[f5,f5,f5,f17,f51])). 0.20/0.50 tff(f134,plain,( 0.20/0.50 spl0_13 | spl0_10 | spl0_14 | spl0_15 | ~spl0_4), 0.20/0.50 inference(avatar_split_clause,[],[f106,f45,f132,f129,f116,f126])). 0.20/0.50 tff(f132,plain,( 0.20/0.50 spl0_15 <=> ! [X4 : $int] : (0 = $product(0,X4) | c != X4)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])). 0.20/0.50 tff(f106,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X0:$int,X3:$int,X1:$int] : (0 = $product(0,X4) | a != $product(X0,X1) | c != X4 | b != X3 | b != X2 | a != X0 | c != X3 | b != X1) ) | ~spl0_4), 0.20/0.50 inference(duplicate_literal_removal,[],[f105])). 0.20/0.50 tff(f105,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X0:$int,X3:$int,X1:$int] : (0 = $product(0,X4) | a != $product(X0,X1) | c != X4 | b != X3 | b != X2 | a != X0 | c != X3 | b != X2 | b != X1) ) | ~spl0_4), 0.20/0.50 inference(superposition,[],[f46,f46])). 0.20/0.50 tff(f124,plain,( 0.20/0.50 spl0_10 | spl0_11 | spl0_12 | ~spl0_4), 0.20/0.50 inference(avatar_split_clause,[],[f104,f45,f122,f119,f116])). 0.20/0.50 tff(f122,plain,( 0.20/0.50 spl0_12 <=> ! [X5 : $int,X4 : $int] : (0 = $product($product(0,X4),X5) | b != X4 | c != X5)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 0.20/0.50 tff(f104,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X0:$int,X5:$int,X3:$int,X1:$int] : (0 = $product($product(0,X4),X5) | a != $product($product(X0,X1),X2) | c != X5 | b != X4 | b != X3 | a != X0 | c != X3 | b != X2 | b != X1) ) | ~spl0_4), 0.20/0.50 inference(superposition,[],[f46,f46])). 0.20/0.50 tff(f114,plain,( 0.20/0.50 spl0_9 | ~spl0_4), 0.20/0.50 inference(avatar_split_clause,[],[f109,f45,f111])). 0.20/0.50 tff(f111,plain,( 0.20/0.50 spl0_9 <=> 0 = $product($product($product(a,b),b),c)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 0.20/0.50 tff(f109,plain,( 0.20/0.50 0 = $product($product($product(a,b),b),c) | ~spl0_4), 0.20/0.50 inference(forward_demodulation,[],[f108,f5])). 0.20/0.50 tff(f108,plain,( 0.20/0.50 0 = $product($product($product($sum(a,0),b),b),c) | ~spl0_4), 0.20/0.50 inference(forward_demodulation,[],[f107,f5])). 0.20/0.50 tff(f107,plain,( 0.20/0.50 0 = $product($product($product($sum(a,0),$sum(b,0)),$sum(b,0)),c) | ~spl0_4), 0.20/0.50 inference(forward_demodulation,[],[f103,f5])). 0.20/0.50 tff(f103,plain,( 0.20/0.50 0 = $product($product($product($sum(a,0),$sum(b,0)),$sum(b,0)),$sum(c,0)) | ~spl0_4), 0.20/0.50 inference(unit_resulting_resolution,[],[f5,f5,f5,f5,f46])). 0.20/0.50 tff(f102,plain,( 0.20/0.50 ~spl0_8 | ~spl0_6), 0.20/0.50 inference(avatar_split_clause,[],[f101,f55,f78])). 0.20/0.50 tff(f78,plain,( 0.20/0.50 spl0_8 <=> 0 = $product($product($product(0,b),b),c)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 0.20/0.50 tff(f55,plain,( 0.20/0.50 spl0_6 <=> ! [X1 : $int,X3 : $int,X2 : $int,X4 : $int] : (0 != X1 | 0 != $product($product($product(X1,X2),X3),X4) | c != X4 | b != X3 | b != X2)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 0.20/0.50 tff(f101,plain,( 0.20/0.50 0 != $product($product($product(0,b),b),c) | ~spl0_6), 0.20/0.50 inference(forward_demodulation,[],[f100,f5])). 0.20/0.50 tff(f100,plain,( 0.20/0.50 0 != $product($product($product(0,$sum(b,0)),$sum(b,0)),c) | ~spl0_6), 0.20/0.50 inference(forward_demodulation,[],[f71,f5])). 0.20/0.50 tff(f71,plain,( 0.20/0.50 0 != $product($product($product(0,$sum(b,0)),$sum(b,0)),$sum(c,0)) | ~spl0_6), 0.20/0.50 inference(evaluation,[],[f64])). 0.20/0.50 tff(f64,plain,( 0.20/0.50 0 != $product($product($product($sum(0,0),$sum(b,0)),$sum(b,0)),$sum(c,0)) | ~spl0_6), 0.20/0.50 inference(unit_resulting_resolution,[],[f5,f5,f5,f5,f56])). 0.20/0.50 tff(f56,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X3:$int,X1:$int] : (0 != $product($product($product(X1,X2),X3),X4) | 0 != X1 | c != X4 | b != X3 | b != X2) ) | ~spl0_6), 0.20/0.50 inference(avatar_component_clause,[],[f55])). 0.20/0.50 tff(f99,plain,( 0.20/0.50 ~spl0_8 | ~spl0_2 | ~spl0_6), 0.20/0.50 inference(avatar_split_clause,[],[f98,f55,f37,f78])). 0.20/0.50 tff(f37,plain,( 0.20/0.50 spl0_2 <=> 0 = a), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 0.20/0.50 tff(f98,plain,( 0.20/0.50 0 != $product($product($product(0,b),b),c) | (~spl0_2 | ~spl0_6)), 0.20/0.50 inference(forward_demodulation,[],[f97,f39])). 0.20/0.50 tff(f39,plain,( 0.20/0.50 0 = a | ~spl0_2), 0.20/0.50 inference(avatar_component_clause,[],[f37])). 0.20/0.50 tff(f97,plain,( 0.20/0.50 0 != $product($product($product(a,b),b),c) | (~spl0_2 | ~spl0_6)), 0.20/0.50 inference(forward_demodulation,[],[f96,f5])). 0.20/0.50 tff(f96,plain,( 0.20/0.50 0 != $product($product($product(a,$sum(b,0)),$sum(b,0)),c) | (~spl0_2 | ~spl0_6)), 0.20/0.50 inference(forward_demodulation,[],[f65,f5])). 0.20/0.50 tff(f65,plain,( 0.20/0.50 0 != $product($product($product(a,$sum(b,0)),$sum(b,0)),$sum(c,0)) | (~spl0_2 | ~spl0_6)), 0.20/0.50 inference(unit_resulting_resolution,[],[f5,f5,f39,f5,f56])). 0.20/0.50 tff(f95,plain,( 0.20/0.50 ~spl0_8 | ~spl0_6), 0.20/0.50 inference(avatar_split_clause,[],[f94,f55,f78])). 0.20/0.50 tff(f94,plain,( 0.20/0.50 0 != $product($product($product(0,b),b),c) | ~spl0_6), 0.20/0.50 inference(forward_demodulation,[],[f93,f5])). 0.20/0.50 tff(f93,plain,( 0.20/0.50 0 != $product($product($product(0,$sum(b,0)),$sum(b,0)),c) | ~spl0_6), 0.20/0.50 inference(forward_demodulation,[],[f72,f5])). 0.20/0.50 tff(f72,plain,( 0.20/0.50 0 != $product($product($product(0,$sum(b,0)),$sum(b,0)),$sum(c,0)) | ~spl0_6), 0.20/0.50 inference(evaluation,[],[f66])). 0.20/0.50 tff(f66,plain,( 0.20/0.50 0 != $product($product($product($sum(0,0),$sum(b,0)),$sum(b,0)),$sum(c,0)) | ~spl0_6), 0.20/0.50 inference(unit_resulting_resolution,[],[f5,f5,f5,f5,f56])). 0.20/0.50 tff(f92,plain,( 0.20/0.50 ~spl0_8 | ~spl0_2 | ~spl0_6), 0.20/0.50 inference(avatar_split_clause,[],[f91,f55,f37,f78])). 0.20/0.50 tff(f91,plain,( 0.20/0.50 0 != $product($product($product(0,b),b),c) | (~spl0_2 | ~spl0_6)), 0.20/0.50 inference(forward_demodulation,[],[f90,f39])). 0.20/0.50 tff(f90,plain,( 0.20/0.50 0 != $product($product($product(a,b),b),c) | (~spl0_2 | ~spl0_6)), 0.20/0.50 inference(forward_demodulation,[],[f89,f5])). 0.20/0.50 tff(f89,plain,( 0.20/0.50 0 != $product($product($product(a,$sum(b,0)),$sum(b,0)),c) | (~spl0_2 | ~spl0_6)), 0.20/0.50 inference(forward_demodulation,[],[f67,f5])). 0.20/0.50 tff(f67,plain,( 0.20/0.50 0 != $product($product($product(a,$sum(b,0)),$sum(b,0)),$sum(c,0)) | (~spl0_2 | ~spl0_6)), 0.20/0.50 inference(unit_resulting_resolution,[],[f39,f5,f5,f5,f56])). 0.20/0.50 tff(f88,plain,( 0.20/0.50 ~spl0_8 | ~spl0_6), 0.20/0.50 inference(avatar_split_clause,[],[f87,f55,f78])). 0.20/0.50 tff(f87,plain,( 0.20/0.50 0 != $product($product($product(0,b),b),c) | ~spl0_6), 0.20/0.50 inference(forward_demodulation,[],[f86,f5])). 0.20/0.50 tff(f86,plain,( 0.20/0.50 0 != $product($product($product(0,$sum(b,0)),$sum(b,0)),c) | ~spl0_6), 0.20/0.50 inference(forward_demodulation,[],[f73,f5])). 0.20/0.50 tff(f73,plain,( 0.20/0.50 0 != $product($product($product(0,$sum(b,0)),$sum(b,0)),$sum(c,0)) | ~spl0_6), 0.20/0.50 inference(evaluation,[],[f68])). 0.20/0.50 tff(f68,plain,( 0.20/0.50 0 != $product($product($product($sum(0,0),$sum(b,0)),$sum(b,0)),$sum(c,0)) | ~spl0_6), 0.20/0.50 inference(unit_resulting_resolution,[],[f5,f5,f5,f5,f56])). 0.20/0.50 tff(f85,plain,( 0.20/0.50 ~spl0_8 | ~spl0_2 | ~spl0_6), 0.20/0.50 inference(avatar_split_clause,[],[f84,f55,f37,f78])). 0.20/0.50 tff(f84,plain,( 0.20/0.50 0 != $product($product($product(0,b),b),c) | (~spl0_2 | ~spl0_6)), 0.20/0.50 inference(forward_demodulation,[],[f83,f39])). 0.20/0.50 tff(f83,plain,( 0.20/0.50 0 != $product($product($product(a,b),b),c) | (~spl0_2 | ~spl0_6)), 0.20/0.50 inference(forward_demodulation,[],[f82,f5])). 0.20/0.50 tff(f82,plain,( 0.20/0.50 0 != $product($product($product(a,$sum(b,0)),$sum(b,0)),c) | (~spl0_2 | ~spl0_6)), 0.20/0.50 inference(forward_demodulation,[],[f69,f5])). 0.20/0.50 tff(f69,plain,( 0.20/0.50 0 != $product($product($product(a,$sum(b,0)),$sum(b,0)),$sum(c,0)) | (~spl0_2 | ~spl0_6)), 0.20/0.50 inference(unit_resulting_resolution,[],[f5,f39,f5,f5,f56])). 0.20/0.50 tff(f81,plain,( 0.20/0.50 ~spl0_8 | ~spl0_6), 0.20/0.50 inference(avatar_split_clause,[],[f76,f55,f78])). 0.20/0.50 tff(f76,plain,( 0.20/0.50 0 != $product($product($product(0,b),b),c) | ~spl0_6), 0.20/0.50 inference(forward_demodulation,[],[f75,f5])). 0.20/0.50 tff(f75,plain,( 0.20/0.50 0 != $product($product($product(0,$sum(b,0)),$sum(b,0)),c) | ~spl0_6), 0.20/0.50 inference(forward_demodulation,[],[f74,f5])). 0.20/0.50 tff(f74,plain,( 0.20/0.50 0 != $product($product($product(0,$sum(b,0)),$sum(b,0)),$sum(c,0)) | ~spl0_6), 0.20/0.50 inference(evaluation,[],[f70])). 0.20/0.50 tff(f70,plain,( 0.20/0.50 0 != $product($product($product($sum(0,0),$sum(b,0)),$sum(b,0)),$sum(c,0)) | ~spl0_6), 0.20/0.50 inference(unit_resulting_resolution,[],[f5,f5,f5,f5,f56])). 0.20/0.50 tff(f62,plain,( 0.20/0.50 ~spl0_3 | spl0_7), 0.20/0.50 inference(avatar_split_clause,[],[f58,f60,f41])). 0.20/0.50 tff(f58,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X3:$int,X1:$int] : (a != X1 | 0 != X2 | 0 != X3 | c != X4 | 0 != $product($product($product(X1,X2),X3),X4) | 0 != b) )), 0.20/0.50 inference(inner_rewriting,[],[f28])). 0.20/0.50 tff(f28,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X3:$int,X1:$int] : (a != X1 | b != X2 | b != X3 | c != X4 | 0 != $product($product($product(X1,X2),X3),X4) | 0 != b) )), 0.20/0.50 inference(theory_flattening,[],[f27])). 0.20/0.50 tff(f27,plain,( 0.20/0.50 0 != $product($product($product(a,b),b),c) | 0 != b), 0.20/0.50 inference(cnf_transformation,[],[f23])). 0.20/0.50 tff(f23,plain,( 0.20/0.50 (0 != $product($product($product(a,b),b),c) | (0 != b & 0 != a & c != 0)) & (0 = $product($product($product(a,b),b),c) | 0 = b | 0 = a | c = 0)), 0.20/0.50 inference(flattening,[],[f22])). 0.20/0.50 tff(f22,plain,( 0.20/0.50 (0 != $product($product($product(a,b),b),c) | (0 != b & 0 != a & c != 0)) & (0 = $product($product($product(a,b),b),c) | (0 = b | 0 = a | c = 0))), 0.20/0.50 inference(nnf_transformation,[],[f21])). 0.20/0.50 tff(f21,plain,( 0.20/0.50 (0 = b | 0 = a | c = 0) <~> 0 = $product($product($product(a,b),b),c)), 0.20/0.50 inference(ennf_transformation,[],[f2])). 0.20/0.50 tff(f2,negated_conjecture,( 0.20/0.50 ~((0 = b | 0 = a | c = 0) <=> 0 = $product($product($product(a,b),b),c))), 0.20/0.50 inference(negated_conjecture,[],[f1])). 0.20/0.50 tff(f1,conjecture,( 0.20/0.50 (0 = b | 0 = a | c = 0) <=> 0 = $product($product($product(a,b),b),c)), 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)). 0.20/0.50 tff(f57,plain,( 0.20/0.50 ~spl0_2 | spl0_6), 0.20/0.50 inference(avatar_split_clause,[],[f53,f55,f37])). 0.20/0.50 tff(f53,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X3:$int,X1:$int] : (0 != X1 | b != X2 | b != X3 | c != X4 | 0 != $product($product($product(X1,X2),X3),X4) | 0 != a) )), 0.20/0.50 inference(inner_rewriting,[],[f29])). 0.20/0.50 tff(f29,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X3:$int,X1:$int] : (a != X1 | b != X2 | b != X3 | c != X4 | 0 != $product($product($product(X1,X2),X3),X4) | 0 != a) )), 0.20/0.50 inference(theory_flattening,[],[f26])). 0.20/0.50 tff(f26,plain,( 0.20/0.50 0 != $product($product($product(a,b),b),c) | 0 != a), 0.20/0.50 inference(cnf_transformation,[],[f23])). 0.20/0.50 tff(f52,plain,( 0.20/0.50 ~spl0_1 | spl0_5), 0.20/0.50 inference(avatar_split_clause,[],[f48,f50,f33])). 0.20/0.50 tff(f33,plain,( 0.20/0.50 spl0_1 <=> c = 0), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 0.20/0.50 tff(f48,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X3:$int,X1:$int] : (a != X1 | b != X2 | b != X3 | 0 != X4 | 0 != $product($product($product(X1,X2),X3),X4) | c != 0) )), 0.20/0.50 inference(inner_rewriting,[],[f30])). 0.20/0.50 tff(f30,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X3:$int,X1:$int] : (a != X1 | b != X2 | b != X3 | c != X4 | 0 != $product($product($product(X1,X2),X3),X4) | c != 0) )), 0.20/0.50 inference(theory_flattening,[],[f25])). 0.20/0.50 tff(f25,plain,( 0.20/0.50 0 != $product($product($product(a,b),b),c) | c != 0), 0.20/0.50 inference(cnf_transformation,[],[f23])). 0.20/0.50 tff(f47,plain,( 0.20/0.50 spl0_1 | spl0_2 | spl0_3 | spl0_4), 0.20/0.50 inference(avatar_split_clause,[],[f31,f45,f41,f37,f33])). 0.20/0.50 tff(f31,plain,( 0.20/0.50 ( ! [X4:$int,X2:$int,X3:$int,X1:$int] : (a != X1 | b != X2 | b != X3 | c != X4 | 0 = $product($product($product(X1,X2),X3),X4) | 0 = b | 0 = a | c = 0) )), 0.20/0.50 inference(theory_flattening,[],[f24])). 0.20/0.50 tff(f24,plain,( 0.20/0.50 0 = $product($product($product(a,b),b),c) | 0 = b | 0 = a | c = 0), 0.20/0.50 inference(cnf_transformation,[],[f23])). 0.20/0.50 % SZS output end Proof for theBenchmark 0.20/0.50 % (5468)------------------------------ 0.20/0.50 % (5468)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.20/0.50 % (5468)Termination reason: Refutation 0.20/0.50 0.20/0.50 % (5468)Memory used [KB]: 6140 0.20/0.50 % (5468)Time elapsed: 0.092 s 0.20/0.50 % (5468)------------------------------ 0.20/0.50 % (5468)------------------------------ 0.20/0.50 % (5459)Success in time 0.148 s 0.20/0.50 EOF