0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : vampire --mode casc -t %d %s 0.14/0.35 % Computer : n026.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % DateTime : Thu Jul 2 06:47:09 EDT 2020 0.14/0.36 % CPUTime : 0.21/0.42 % 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 0.21/0.48 % Refutation found. Thanks to Tanya! 0.21/0.48 % SZS status Theorem for theBenchmark 0.21/0.48 % SZS output start Proof for theBenchmark 0.21/0.48 tff(pred_def_1, type, p: $int > $o). 0.21/0.48 tff(pred_def_2, type, q: $int > $o). 0.21/0.48 tff(f199,plain,( 0.21/0.48 $false), 0.21/0.48 inference(avatar_sat_refutation,[],[f29,f82,f125,f195,f198])). 0.21/0.48 tff(f198,plain,( 0.21/0.48 ~spl0_6), 0.21/0.48 inference(avatar_contradiction_clause,[],[f197])). 0.21/0.48 tff(f197,plain,( 0.21/0.48 $false | ~spl0_6), 0.21/0.48 inference(evaluation,[],[f196])). 0.21/0.48 tff(f196,plain,( 0.21/0.48 $less(1,$uminus(4)) | 1 = $uminus(4) | ~spl0_6), 0.21/0.48 inference(resolution,[],[f194,f80])). 0.21/0.48 tff(f80,plain,( 0.21/0.48 ( ! [X0:$int] : (~p(X0) | $less(1,$uminus(X0)) | 1 = $uminus(X0)) )), 0.21/0.48 inference(resolution,[],[f54,f32])). 0.21/0.48 tff(f32,plain,( 0.21/0.48 ( ! [X0:$int] : (~q($uminus(X0)) | ~p(X0)) )), 0.21/0.48 inference(trivial_inequality_removal,[],[f31])). 0.21/0.48 tff(f31,plain,( 0.21/0.48 ( ! [X0:$int] : (0 != 0 | ~p(X0) | ~q($uminus(X0))) )), 0.21/0.48 inference(superposition,[],[f21,f7])). 0.21/0.48 tff(f7,plain,( 0.21/0.48 ( ! [X0:$int] : ($sum(X0,$uminus(X0)) = 0) )), 0.21/0.48 introduced(theory_axiom,[])). 0.21/0.48 tff(f21,plain,( 0.21/0.48 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) != 0 | ~p(X0) | ~q(X1)) )), 0.21/0.48 inference(cnf_transformation,[],[f18])). 0.21/0.48 tff(f18,plain,( 0.21/0.48 ! [X0 : $int,X1 : $int] : (~p(X0) | $sum(X0,X1) != 0 | ~q(X1)) & ! [X2 : $int] : (p(X2) | ~$less(3,X2)) & ! [X3 : $int] : (q(X3) | ~$less(X3,1))), 0.21/0.48 inference(rectify,[],[f17])). 0.21/0.48 tff(f17,plain,( 0.21/0.48 ! [X2 : $int,X3 : $int] : (~p(X2) | $sum(X2,X3) != 0 | ~q(X3)) & ! [X0 : $int] : (p(X0) | ~$less(3,X0)) & ! [X1 : $int] : (q(X1) | ~$less(X1,1))), 0.21/0.48 inference(flattening,[],[f16])). 0.21/0.48 tff(f16,plain,( 0.21/0.48 ! [X2 : $int,X3 : $int] : (~p(X2) | $sum(X2,X3) != 0 | ~q(X3)) & (! [X0 : $int] : (p(X0) | ~$less(3,X0)) & ! [X1 : $int] : (q(X1) | ~$less(X1,1)))), 0.21/0.48 inference(ennf_transformation,[],[f15])). 0.21/0.48 tff(f15,plain,( 0.21/0.48 ~((! [X0 : $int] : ($less(3,X0) => p(X0)) & ! [X1 : $int] : ($less(X1,1) => q(X1))) => ? [X2 : $int,X3 : $int] : (p(X2) & $sum(X2,X3) = 0 & q(X3)))), 0.21/0.48 inference(rectify,[],[f2])). 0.21/0.48 tff(f2,negated_conjecture,( 0.21/0.48 ~((! [X0 : $int] : ($less(3,X0) => p(X0)) & ! [X0 : $int] : ($less(X0,1) => q(X0))) => ? [X0 : $int,X1 : $int] : (p(X0) & $sum(X0,X1) = 0 & q(X1)))), 0.21/0.48 inference(negated_conjecture,[],[f1])). 0.21/0.48 tff(f1,conjecture,( 0.21/0.48 (! [X0 : $int] : ($less(3,X0) => p(X0)) & ! [X0 : $int] : ($less(X0,1) => q(X0))) => ? [X0 : $int,X1 : $int] : (p(X0) & $sum(X0,X1) = 0 & q(X1))), 0.21/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',interv_3_infty_and_neginfty_1_contain_compl)). 0.21/0.48 tff(f54,plain,( 0.21/0.48 ( ! [X6:$int] : (q(X6) | 1 = X6 | $less(1,X6)) )), 0.21/0.48 inference(resolution,[],[f10,f19])). 0.21/0.48 tff(f19,plain,( 0.21/0.48 ( ! [X3:$int] : (~$less(X3,1) | q(X3)) )), 0.21/0.48 inference(cnf_transformation,[],[f18])). 0.21/0.48 tff(f10,plain,( 0.21/0.48 ( ! [X0:$int,X1:$int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )), 0.21/0.48 introduced(theory_axiom,[])). 0.21/0.48 tff(f194,plain,( 0.21/0.48 p(4) | ~spl0_6), 0.21/0.48 inference(avatar_component_clause,[],[f193])). 0.21/0.48 tff(f193,plain,( 0.21/0.48 spl0_6 <=> p(4)), 0.21/0.48 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 0.21/0.48 tff(f195,plain,( 0.21/0.48 spl0_6), 0.21/0.48 inference(avatar_split_clause,[],[f191,f193])). 0.21/0.48 tff(f191,plain,( 0.21/0.48 p(4)), 0.21/0.48 inference(evaluation,[],[f186])). 0.21/0.48 tff(f186,plain,( 0.21/0.48 p($sum(3,1))), 0.21/0.48 inference(resolution,[],[f40,f20])). 0.21/0.48 tff(f20,plain,( 0.21/0.48 ( ! [X2:$int] : (~$less(3,X2) | p(X2)) )), 0.21/0.48 inference(cnf_transformation,[],[f18])). 0.21/0.48 tff(f40,plain,( 0.21/0.48 ( ! [X0:$int] : ($less(X0,$sum(X0,1))) )), 0.21/0.48 inference(resolution,[],[f12,f8])). 0.21/0.48 tff(f8,plain,( 0.21/0.48 ( ! [X0:$int] : (~$less(X0,X0)) )), 0.21/0.48 introduced(theory_axiom,[])). 0.21/0.48 tff(f12,plain,( 0.21/0.48 ( ! [X0:$int,X1:$int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )), 0.21/0.48 introduced(theory_axiom,[])). 0.21/0.48 tff(f125,plain,( 0.21/0.48 ~spl0_5 | ~spl0_2), 0.21/0.48 inference(avatar_split_clause,[],[f121,f27,f123])). 0.21/0.48 tff(f123,plain,( 0.21/0.48 spl0_5 <=> ~p(0)), 0.21/0.48 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 0.21/0.48 tff(f27,plain,( 0.21/0.48 spl0_2 <=> ! [X0 : $int] : (0 != X0 | ~p(X0))), 0.21/0.48 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 0.21/0.48 tff(f121,plain,( 0.21/0.48 ~p(0) | ~spl0_2), 0.21/0.48 inference(equality_resolution,[],[f28])). 0.21/0.48 tff(f28,plain,( 0.21/0.48 ( ! [X0:$int] : (0 != X0 | ~p(X0)) ) | ~spl0_2), 0.21/0.48 inference(avatar_component_clause,[],[f27])). 0.21/0.48 tff(f82,plain,( 0.21/0.48 spl0_1), 0.21/0.48 inference(avatar_contradiction_clause,[],[f81])). 0.21/0.48 tff(f81,plain,( 0.21/0.48 $false | ~spl0_1), 0.21/0.48 inference(evaluation,[],[f79])). 0.21/0.48 tff(f79,plain,( 0.21/0.48 0 = 1 | $less(1,0) | ~spl0_1), 0.21/0.48 inference(resolution,[],[f54,f25])). 0.21/0.48 tff(f25,plain,( 0.21/0.48 ~q(0) | ~spl0_1), 0.21/0.48 inference(avatar_component_clause,[],[f24])). 0.21/0.48 tff(f24,plain,( 0.21/0.48 spl0_1 <=> ~q(0)), 0.21/0.48 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 0.21/0.48 tff(f29,plain,( 0.21/0.48 ~spl0_1 | spl0_2), 0.21/0.48 inference(avatar_split_clause,[],[f22,f27,f24])). 0.21/0.48 tff(f22,plain,( 0.21/0.48 ( ! [X0:$int] : (0 != X0 | ~p(X0) | ~q(0)) )), 0.21/0.48 inference(superposition,[],[f21,f5])). 0.21/0.48 tff(f5,plain,( 0.21/0.48 ( ! [X0:$int] : ($sum(X0,0) = X0) )), 0.21/0.48 introduced(theory_axiom,[])). 0.21/0.48 % SZS output end Proof for theBenchmark 0.21/0.48 % ------------------------------ 0.21/0.48 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.21/0.48 % Termination reason: Refutation 0.21/0.48 0.21/0.48 % Memory used [KB]: 5245 0.21/0.48 % Time elapsed: 0.067 s 0.21/0.48 % ------------------------------ 0.21/0.48 % ------------------------------ 0.21/0.49 % Success in time 0.127 s 0.34/0.49 EOF