0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % Command : vampire --mode casc -t %d %s 0.09/0.31 % Computer : n032.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 % DateTime : Thu Jul 2 08:32:34 EDT 2020 0.09/0.31 % CPUTime : 0.14/0.38 % 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 0.14/0.49 % Refutation found. Thanks to Tanya! 0.14/0.49 % SZS status Theorem for theBenchmark 0.14/0.49 % SZS output start Proof for theBenchmark 0.14/0.49 tff(func_def_0, type, x0: $int). 0.14/0.49 tff(func_def_1, type, x1: $int). 0.14/0.49 tff(func_def_2, type, x2: $int). 0.14/0.49 tff(func_def_3, type, x3: $int). 0.14/0.49 tff(func_def_4, type, x4: $int). 0.14/0.49 tff(func_def_5, type, x5: $int). 0.14/0.49 tff(func_def_6, type, x6: $int). 0.14/0.49 tff(func_def_7, type, x7: $int). 0.14/0.49 tff(func_def_8, type, x8: $int). 0.14/0.49 tff(func_def_9, type, x9: $int). 0.14/0.49 tff(f82,plain,( 0.14/0.49 $false), 0.14/0.49 inference(avatar_sat_refutation,[],[f45,f49,f53,f57,f61,f65,f69,f73,f77,f81])). 0.14/0.49 tff(f81,plain,( 0.14/0.49 spl0_18), 0.14/0.49 inference(avatar_split_clause,[],[f40,f79])). 0.14/0.49 tff(f79,plain,( 0.14/0.49 spl0_18 <=> $product(4,x6) = $sum($product(5,x7),1)), 0.14/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])). 0.14/0.49 tff(f40,plain,( 0.14/0.49 $product(4,x6) = $sum($product(5,x7),1)), 0.14/0.49 inference(cnf_transformation,[],[f11])). 0.14/0.49 tff(f11,axiom,( 0.14/0.49 $product(4,x6) = $sum($product(5,x7),1)), 0.14/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq7)). 0.14/0.49 tff(f77,plain,( 0.14/0.49 spl0_16), 0.14/0.49 inference(avatar_split_clause,[],[f39,f75])). 0.14/0.49 tff(f75,plain,( 0.14/0.49 spl0_16 <=> $product(4,x7) = $sum($product(5,x8),1)), 0.14/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])). 0.14/0.49 tff(f39,plain,( 0.14/0.49 $product(4,x7) = $sum($product(5,x8),1)), 0.14/0.49 inference(cnf_transformation,[],[f10])). 0.14/0.49 tff(f10,axiom,( 0.14/0.49 $product(4,x7) = $sum($product(5,x8),1)), 0.14/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq8)). 0.14/0.49 tff(f73,plain,( 0.14/0.49 spl0_14), 0.14/0.49 inference(avatar_split_clause,[],[f38,f71])). 0.14/0.49 tff(f71,plain,( 0.14/0.49 spl0_14 <=> $product(4,x2) = $sum($product(5,x3),1)), 0.14/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])). 0.14/0.49 tff(f38,plain,( 0.14/0.49 $product(4,x2) = $sum($product(5,x3),1)), 0.14/0.49 inference(cnf_transformation,[],[f9])). 0.14/0.49 tff(f9,axiom,( 0.14/0.49 $product(4,x2) = $sum($product(5,x3),1)), 0.14/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq3)). 0.14/0.49 tff(f69,plain,( 0.14/0.49 spl0_12), 0.14/0.49 inference(avatar_split_clause,[],[f37,f67])). 0.14/0.49 tff(f67,plain,( 0.14/0.49 spl0_12 <=> $product(4,x5) = $sum($product(5,x6),1)), 0.14/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 0.14/0.49 tff(f37,plain,( 0.14/0.49 $product(4,x5) = $sum($product(5,x6),1)), 0.14/0.49 inference(cnf_transformation,[],[f8])). 0.14/0.49 tff(f8,axiom,( 0.14/0.49 $product(4,x5) = $sum($product(5,x6),1)), 0.14/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq6)). 0.14/0.49 tff(f65,plain,( 0.14/0.49 spl0_10), 0.14/0.49 inference(avatar_split_clause,[],[f36,f63])). 0.14/0.49 tff(f63,plain,( 0.14/0.49 spl0_10 <=> $product(4,x8) = $sum($product(5,x9),1)), 0.14/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 0.14/0.49 tff(f36,plain,( 0.14/0.49 $product(4,x8) = $sum($product(5,x9),1)), 0.14/0.49 inference(cnf_transformation,[],[f7])). 0.14/0.49 tff(f7,axiom,( 0.14/0.49 $product(4,x8) = $sum($product(5,x9),1)), 0.14/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq9)). 0.14/0.49 tff(f61,plain,( 0.14/0.49 spl0_8), 0.14/0.49 inference(avatar_split_clause,[],[f35,f59])). 0.14/0.49 tff(f59,plain,( 0.14/0.49 spl0_8 <=> $product(4,x3) = $sum($product(5,x4),1)), 0.14/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 0.14/0.49 tff(f35,plain,( 0.14/0.49 $product(4,x3) = $sum($product(5,x4),1)), 0.14/0.49 inference(cnf_transformation,[],[f6])). 0.14/0.49 tff(f6,axiom,( 0.14/0.49 $product(4,x3) = $sum($product(5,x4),1)), 0.14/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq4)). 0.14/0.49 tff(f57,plain,( 0.14/0.49 spl0_6), 0.14/0.49 inference(avatar_split_clause,[],[f34,f55])). 0.14/0.49 tff(f55,plain,( 0.14/0.49 spl0_6 <=> $product(4,x1) = $sum($product(5,x2),1)), 0.14/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 0.14/0.49 tff(f34,plain,( 0.14/0.49 $product(4,x1) = $sum($product(5,x2),1)), 0.14/0.49 inference(cnf_transformation,[],[f2])). 0.14/0.49 tff(f2,axiom,( 0.14/0.49 $product(4,x1) = $sum($product(5,x2),1)), 0.14/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2)). 0.14/0.49 tff(f53,plain,( 0.14/0.49 spl0_4), 0.14/0.49 inference(avatar_split_clause,[],[f33,f51])). 0.14/0.49 tff(f51,plain,( 0.14/0.49 spl0_4 <=> $product(4,x4) = $sum($product(5,x5),1)), 0.14/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 0.14/0.49 tff(f33,plain,( 0.14/0.49 $product(4,x4) = $sum($product(5,x5),1)), 0.14/0.49 inference(cnf_transformation,[],[f1])). 0.14/0.49 tff(f1,axiom,( 0.14/0.49 $product(4,x4) = $sum($product(5,x5),1)), 0.14/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq5)). 0.14/0.49 tff(f49,plain,( 0.14/0.49 spl0_2), 0.14/0.49 inference(avatar_split_clause,[],[f32,f47])). 0.14/0.49 tff(f47,plain,( 0.14/0.49 spl0_2 <=> x0 = $sum($product(5,x1),1)), 0.14/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 0.14/0.49 tff(f32,plain,( 0.14/0.49 x0 = $sum($product(5,x1),1)), 0.14/0.49 inference(cnf_transformation,[],[f5])). 0.14/0.49 tff(f5,axiom,( 0.14/0.49 x0 = $sum($product(5,x1),1)), 0.14/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1)). 0.14/0.49 tff(f45,plain,( 0.14/0.49 ~spl0_1), 0.14/0.49 inference(avatar_split_clause,[],[f41,f43])). 0.14/0.49 tff(f43,plain,( 0.14/0.49 spl0_1 <=> 0 != $remainder_t($sum(4,x0),1953125)), 0.14/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 0.14/0.49 tff(f41,plain,( 0.14/0.49 0 != $remainder_t($sum(4,x0),1953125)), 0.14/0.49 inference(forward_demodulation,[],[f31,f12])). 0.14/0.49 tff(f12,plain,( 0.14/0.49 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 0.14/0.49 introduced(theory_axiom,[])). 0.14/0.49 tff(f31,plain,( 0.14/0.49 0 != $remainder_t($sum(x0,4),1953125)), 0.14/0.49 inference(cnf_transformation,[],[f30])). 0.14/0.49 tff(f30,plain,( 0.14/0.49 0 != $remainder_t($sum(x0,4),1953125)), 0.14/0.49 inference(flattening,[],[f4])). 0.14/0.49 tff(f4,negated_conjecture,( 0.14/0.49 ~0 = $remainder_t($sum(x0,4),1953125)), 0.14/0.49 inference(negated_conjecture,[],[f3])). 0.14/0.49 tff(f3,conjecture,( 0.14/0.49 0 = $remainder_t($sum(x0,4),1953125)), 0.14/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)). 0.14/0.49 % SZS output end Proof for theBenchmark 0.14/0.49 % ------------------------------ 0.14/0.49 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.14/0.49 % Termination reason: Refutation 0.14/0.49 0.14/0.49 % Memory used [KB]: 5117 0.14/0.49 % Time elapsed: 0.112 s 0.14/0.49 % ------------------------------ 0.14/0.49 % ------------------------------ 0.14/0.49 % Success in time 0.179 s 0.14/0.49 EOF