0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.22 % Computer : n126.star.cs.uiowa.edu 0.03/0.22 % Model : x86_64 x86_64 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.22 % Memory : 32218.625MB 0.03/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.22 % CPULimit : 300 0.03/0.22 % DateTime : Sat Jul 14 04:43:09 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.26 % lrs+1011_2:1_add=large:afr=on:afp=4000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:gs=on:irw=on:nm=64:nwc=1:sas=z3:stl=30:sos=on:sp=reverse_arity:thf=on:urr=on:updr=off_2 on theBenchmark 0.06/0.30 % Refutation found. Thanks to Tanya! 0.06/0.30 % SZS status Theorem for theBenchmark 0.06/0.30 % SZS output start Proof for theBenchmark 0.06/0.30 tff(func_def_11, type, sK0: $real). 0.06/0.30 tff(f1,conjecture,( 0.06/0.30 ! [X0 : $real] : ($less($to_int(X0),$to_int($ceiling(X0))) => $to_real($to_int(X0)) != X0)), 0.06/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',g7)). 0.06/0.30 tff(f2,negated_conjecture,( 0.06/0.30 ~! [X0 : $real] : ($less($to_int(X0),$to_int($ceiling(X0))) => $to_real($to_int(X0)) != X0)), 0.06/0.30 inference(negated_conjecture,[],[f1])). 0.06/0.30 tff(f3,plain,( 0.06/0.30 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f7,plain,( 0.06/0.30 ( ! [X0:$int] : (0 = $sum(X0,$uminus(X0))) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f8,plain,( 0.06/0.30 ( ! [X0:$int] : (~$less(X0,X0)) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f9,plain,( 0.06/0.30 ( ! [X2:$int,X0:$int,X1:$int] : ($less(X0,X2) | ~$less(X1,X2) | ~$less(X0,X1)) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f10,plain,( 0.06/0.30 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f11,plain,( 0.06/0.30 ( ! [X2:$int,X0:$int,X1:$int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f12,plain,( 0.06/0.30 ( ! [X0:$int,X1:$int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f14,plain,( 0.06/0.30 ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f15,plain,( 0.06/0.30 ( ! [X0:$real,X1:$real] : ($sum(X0,X1) = $sum(X1,X0)) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f17,plain,( 0.06/0.30 ( ! [X0:$real] : ($sum(X0,0.0) = X0) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f20,plain,( 0.06/0.30 ( ! [X0:$real] : (~$less(X0,X0)) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f21,plain,( 0.06/0.30 ( ! [X2:$real,X0:$real,X1:$real] : ($less(X0,X2) | ~$less(X1,X2) | ~$less(X0,X1)) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f22,plain,( 0.06/0.30 ( ! [X0:$real,X1:$real] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f24,plain,( 0.06/0.30 ( ! [X0:$real,X1:$real] : ($less(X1,$sum(X0,1.0)) | $less(X0,X1)) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f25,plain,( 0.06/0.30 ( ! [X0:$real] : ($uminus($uminus(X0)) = X0) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f26,plain,( 0.06/0.30 ( ! [X0:$real] : (~$less($ceiling(X0),X0)) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f27,plain,( 0.06/0.30 ( ! [X0:$real] : ($less($ceiling(X0),$sum(X0,1.0))) )), 0.06/0.30 introduced(theory_axiom,[])). 0.06/0.30 tff(f28,plain,( 0.06/0.30 ? [X0 : $real] : ($to_real($to_int(X0)) = X0 & $less($to_int(X0),$to_int($ceiling(X0))))), 0.06/0.30 inference(ennf_transformation,[],[f2])). 0.06/0.30 tff(f29,plain,( 0.06/0.30 ? [X0 : $real] : ($to_real($to_int(X0)) = X0 & $less($to_int(X0),$to_int($ceiling(X0)))) => ($to_real($to_int(sK0)) = sK0 & $less($to_int(sK0),$to_int($ceiling(sK0))))), 0.06/0.30 introduced(choice_axiom,[])). 0.06/0.30 tff(f30,plain,( 0.06/0.30 $to_real($to_int(sK0)) = sK0 & $less($to_int(sK0),$to_int($ceiling(sK0)))), 0.06/0.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f29])). 0.06/0.30 tff(f31,plain,( 0.06/0.30 $less($to_int(sK0),$to_int($ceiling(sK0)))), 0.06/0.30 inference(cnf_transformation,[],[f30])). 0.06/0.30 tff(f32,plain,( 0.06/0.30 $to_real($to_int(sK0)) = sK0), 0.06/0.30 inference(cnf_transformation,[],[f30])). 0.06/0.30 tff(f33,plain,( 0.06/0.30 ( ! [X2:$real,X1:$real] : (sK0 != X1 | sK0 != X2 | $to_real($to_int(X1)) = X2) )), 0.06/0.30 inference(theory_flattening,[],[f32])). 0.06/0.30 tff(f34,plain,( 0.06/0.30 ( ! [X2:$real,X1:$real] : ($less($to_int(X1),$to_int($ceiling(X2))) | sK0 != X2 | sK0 != X1) )), 0.06/0.30 inference(theory_flattening,[],[f31])). 0.06/0.30 tff(f35,plain,( 0.06/0.30 $to_real($to_int($sum(sK0,0.0))) = $sum(sK0,0.0)), 0.06/0.30 inference(unit_resulting_resolution,[],[f17,f17,f33])). 0.06/0.30 tff(f36,plain,( 0.06/0.30 $to_real($to_int($uminus($uminus(sK0)))) = $sum(sK0,0.0)), 0.06/0.30 inference(unit_resulting_resolution,[],[f25,f17,f33])). 0.06/0.30 tff(f37,plain,( 0.06/0.30 $to_real($to_int($sum(sK0,0.0))) = $uminus($uminus(sK0))), 0.06/0.30 inference(unit_resulting_resolution,[],[f17,f25,f33])). 0.06/0.30 tff(f38,plain,( 0.06/0.30 $to_real($to_int($uminus($uminus(sK0)))) = $uminus($uminus(sK0))), 0.06/0.30 inference(unit_resulting_resolution,[],[f25,f25,f33])). 0.06/0.30 tff(f40,plain,( 0.06/0.30 $to_real($to_int(sK0)) = sK0), 0.06/0.30 inference(evaluation,[],[f35])). 0.06/0.30 tff(f41,plain,( 0.06/0.30 $to_real($to_int($uminus($uminus(sK0)))) = sK0), 0.06/0.30 inference(evaluation,[],[f36])). 0.06/0.30 tff(f42,plain,( 0.06/0.30 $to_real($to_int(sK0)) = $uminus($uminus(sK0))), 0.06/0.30 inference(evaluation,[],[f37])). 0.06/0.30 tff(f43,plain,( 0.06/0.30 $to_real($to_int(sK0)) = sK0), 0.06/0.30 inference(forward_demodulation,[],[f38,f25])). 0.06/0.30 tff(f48,plain,( 0.06/0.30 spl1_0 <=> $to_real($to_int(sK0)) = sK0), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_0])])). 0.06/0.30 tff(f49,plain,( 0.06/0.30 $to_real($to_int(sK0)) = sK0 | ~spl1_0), 0.06/0.30 inference(avatar_component_clause,[],[f48])). 0.06/0.30 tff(f50,plain,( 0.06/0.30 spl1_0), 0.06/0.30 inference(avatar_split_clause,[],[f43,f48])). 0.06/0.30 tff(f51,plain,( 0.06/0.30 $to_real($to_int(sK0)) = sK0), 0.06/0.30 inference(forward_demodulation,[],[f42,f25])). 0.06/0.30 tff(f52,plain,( 0.06/0.30 spl1_0), 0.06/0.30 inference(avatar_split_clause,[],[f51,f48])). 0.06/0.30 tff(f53,plain,( 0.06/0.30 $to_real($to_int(sK0)) = sK0), 0.06/0.30 inference(forward_demodulation,[],[f41,f25])). 0.06/0.30 tff(f54,plain,( 0.06/0.30 spl1_0), 0.06/0.30 inference(avatar_split_clause,[],[f53,f48])). 0.06/0.30 tff(f55,plain,( 0.06/0.30 spl1_0), 0.06/0.30 inference(avatar_split_clause,[],[f40,f48])). 0.06/0.30 tff(f69,plain,( 0.06/0.30 $less($to_int($to_real($to_int(sK0))),$to_int($ceiling($to_real($to_int(sK0))))) | ~spl1_0), 0.06/0.30 inference(unit_resulting_resolution,[],[f49,f49,f34])). 0.06/0.30 tff(f70,plain,( 0.06/0.30 $less($to_int($sum(sK0,0.0)),$to_int($ceiling($to_real($to_int(sK0))))) | ~spl1_0), 0.06/0.30 inference(unit_resulting_resolution,[],[f17,f49,f34])). 0.06/0.30 tff(f71,plain,( 0.06/0.30 $less($to_int($uminus($uminus(sK0))),$to_int($ceiling($to_real($to_int(sK0))))) | ~spl1_0), 0.06/0.30 inference(unit_resulting_resolution,[],[f25,f49,f34])). 0.06/0.30 tff(f72,plain,( 0.06/0.30 $less($to_int($to_real($to_int(sK0))),$to_int($ceiling($sum(sK0,0.0)))) | ~spl1_0), 0.06/0.30 inference(unit_resulting_resolution,[],[f49,f17,f34])). 0.06/0.30 tff(f73,plain,( 0.06/0.30 $less($to_int($sum(sK0,0.0)),$to_int($ceiling($sum(sK0,0.0))))), 0.06/0.30 inference(unit_resulting_resolution,[],[f17,f17,f34])). 0.06/0.30 tff(f74,plain,( 0.06/0.30 $less($to_int($uminus($uminus(sK0))),$to_int($ceiling($sum(sK0,0.0))))), 0.06/0.30 inference(unit_resulting_resolution,[],[f25,f17,f34])). 0.06/0.30 tff(f75,plain,( 0.06/0.30 $less($to_int($to_real($to_int(sK0))),$to_int($ceiling($uminus($uminus(sK0))))) | ~spl1_0), 0.06/0.30 inference(unit_resulting_resolution,[],[f49,f25,f34])). 0.06/0.30 tff(f76,plain,( 0.06/0.30 $less($to_int($sum(sK0,0.0)),$to_int($ceiling($uminus($uminus(sK0)))))), 0.06/0.30 inference(unit_resulting_resolution,[],[f17,f25,f34])). 0.06/0.30 tff(f77,plain,( 0.06/0.30 $less($to_int($uminus($uminus(sK0))),$to_int($ceiling($uminus($uminus(sK0)))))), 0.06/0.30 inference(unit_resulting_resolution,[],[f25,f25,f34])). 0.06/0.30 tff(f78,plain,( 0.06/0.30 $ceiling($to_real($to_int(sK0))) != sK0 | ~spl1_0), 0.06/0.30 inference(unit_resulting_resolution,[],[f49,f8,f34])). 0.06/0.30 tff(f79,plain,( 0.06/0.30 $ceiling($sum(sK0,0.0)) != sK0), 0.06/0.30 inference(unit_resulting_resolution,[],[f17,f8,f34])). 0.06/0.30 tff(f80,plain,( 0.06/0.30 $ceiling($uminus($uminus(sK0))) != sK0), 0.06/0.30 inference(unit_resulting_resolution,[],[f25,f8,f34])). 0.06/0.30 tff(f82,plain,( 0.06/0.30 $less($to_int(sK0),$to_int($ceiling($to_real($to_int(sK0))))) | ~spl1_0), 0.06/0.30 inference(evaluation,[],[f70])). 0.06/0.30 tff(f83,plain,( 0.06/0.30 $less($to_int($to_real($to_int(sK0))),$to_int($ceiling(sK0))) | ~spl1_0), 0.06/0.30 inference(evaluation,[],[f72])). 0.06/0.30 tff(f84,plain,( 0.06/0.30 $less($to_int(sK0),$to_int($ceiling(sK0)))), 0.06/0.30 inference(evaluation,[],[f73])). 0.06/0.30 tff(f85,plain,( 0.06/0.30 $less($to_int($uminus($uminus(sK0))),$to_int($ceiling(sK0)))), 0.06/0.30 inference(evaluation,[],[f74])). 0.06/0.30 tff(f86,plain,( 0.06/0.30 $less($to_int(sK0),$to_int($ceiling($uminus($uminus(sK0)))))), 0.06/0.30 inference(evaluation,[],[f76])). 0.06/0.30 tff(f87,plain,( 0.06/0.30 $ceiling(sK0) != sK0), 0.06/0.30 inference(evaluation,[],[f79])). 0.06/0.30 tff(f88,plain,( 0.06/0.30 $ceiling(sK0) != sK0), 0.06/0.30 inference(forward_demodulation,[],[f80,f25])). 0.06/0.30 tff(f93,plain,( 0.06/0.30 spl1_3 <=> $ceiling(sK0) != sK0), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])). 0.06/0.30 tff(f94,plain,( 0.06/0.30 $ceiling(sK0) != sK0 | ~spl1_3), 0.06/0.30 inference(avatar_component_clause,[],[f93])). 0.06/0.30 tff(f95,plain,( 0.06/0.30 ~spl1_3), 0.06/0.30 inference(avatar_split_clause,[],[f88,f93])). 0.06/0.30 tff(f96,plain,( 0.06/0.30 ~spl1_3), 0.06/0.30 inference(avatar_split_clause,[],[f87,f93])). 0.06/0.30 tff(f97,plain,( 0.06/0.30 $ceiling(sK0) != sK0 | ~spl1_0), 0.06/0.30 inference(forward_demodulation,[],[f78,f49])). 0.06/0.30 tff(f98,plain,( 0.06/0.30 ~spl1_3 | ~spl1_0), 0.06/0.30 inference(avatar_split_clause,[],[f97,f48,f93])). 0.06/0.30 tff(f99,plain,( 0.06/0.30 $less($to_int(sK0),$to_int($ceiling(sK0)))), 0.06/0.30 inference(forward_demodulation,[],[f77,f25])). 0.06/0.30 tff(f104,plain,( 0.06/0.30 spl1_4 <=> $less($to_int(sK0),$to_int($ceiling(sK0)))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])). 0.06/0.30 tff(f105,plain,( 0.06/0.30 $less($to_int(sK0),$to_int($ceiling(sK0))) | ~spl1_4), 0.06/0.30 inference(avatar_component_clause,[],[f104])). 0.06/0.30 tff(f106,plain,( 0.06/0.30 spl1_4), 0.06/0.30 inference(avatar_split_clause,[],[f99,f104])). 0.06/0.30 tff(f107,plain,( 0.06/0.30 $less($to_int(sK0),$to_int($ceiling(sK0)))), 0.06/0.30 inference(forward_demodulation,[],[f86,f25])). 0.06/0.30 tff(f108,plain,( 0.06/0.30 spl1_4), 0.06/0.30 inference(avatar_split_clause,[],[f107,f104])). 0.06/0.30 tff(f109,plain,( 0.06/0.30 $less($to_int($to_real($to_int(sK0))),$to_int($ceiling(sK0))) | ~spl1_0), 0.06/0.30 inference(forward_demodulation,[],[f75,f25])). 0.06/0.30 tff(f110,plain,( 0.06/0.30 $less($to_int(sK0),$to_int($ceiling(sK0))) | ~spl1_0), 0.06/0.30 inference(forward_demodulation,[],[f109,f49])). 0.06/0.30 tff(f111,plain,( 0.06/0.30 spl1_4 | ~spl1_0), 0.06/0.30 inference(avatar_split_clause,[],[f110,f48,f104])). 0.06/0.30 tff(f112,plain,( 0.06/0.30 $less($to_int(sK0),$to_int($ceiling(sK0)))), 0.06/0.30 inference(forward_demodulation,[],[f85,f25])). 0.06/0.30 tff(f113,plain,( 0.06/0.30 spl1_4), 0.06/0.30 inference(avatar_split_clause,[],[f112,f104])). 0.06/0.30 tff(f114,plain,( 0.06/0.30 spl1_4), 0.06/0.30 inference(avatar_split_clause,[],[f84,f104])). 0.06/0.30 tff(f115,plain,( 0.06/0.30 $less($to_int(sK0),$to_int($ceiling(sK0))) | ~spl1_0), 0.06/0.30 inference(forward_demodulation,[],[f83,f49])). 0.06/0.30 tff(f116,plain,( 0.06/0.30 spl1_4 | ~spl1_0), 0.06/0.30 inference(avatar_split_clause,[],[f115,f48,f104])). 0.06/0.30 tff(f117,plain,( 0.06/0.30 $less($to_int($uminus($uminus(sK0))),$to_int($ceiling(sK0))) | ~spl1_0), 0.06/0.30 inference(forward_demodulation,[],[f71,f49])). 0.06/0.30 tff(f118,plain,( 0.06/0.30 $less($to_int(sK0),$to_int($ceiling(sK0))) | ~spl1_0), 0.06/0.30 inference(forward_demodulation,[],[f117,f25])). 0.06/0.30 tff(f119,plain,( 0.06/0.30 spl1_4 | ~spl1_0), 0.06/0.30 inference(avatar_split_clause,[],[f118,f48,f104])). 0.06/0.30 tff(f120,plain,( 0.06/0.30 $less($to_int(sK0),$to_int($ceiling(sK0))) | ~spl1_0), 0.06/0.30 inference(forward_demodulation,[],[f82,f49])). 0.06/0.30 tff(f121,plain,( 0.06/0.30 spl1_4 | ~spl1_0), 0.06/0.30 inference(avatar_split_clause,[],[f120,f48,f104])). 0.06/0.30 tff(f122,plain,( 0.06/0.30 $less($to_int(sK0),$to_int($ceiling(sK0))) | ~spl1_0), 0.06/0.30 inference(forward_demodulation,[],[f69,f49])). 0.06/0.30 tff(f123,plain,( 0.06/0.30 spl1_4 | ~spl1_0), 0.06/0.30 inference(avatar_split_clause,[],[f122,f48,f104])). 0.06/0.30 tff(f124,plain,( 0.06/0.30 $less(sK0,$ceiling(sK0)) | ~spl1_3), 0.06/0.30 inference(unit_resulting_resolution,[],[f26,f94,f22])). 0.06/0.30 tff(f125,plain,( 0.06/0.30 $less(sK0,$ceiling(sK0)) | ~spl1_3), 0.06/0.30 inference(unit_resulting_resolution,[],[f26,f94,f22])). 0.06/0.30 tff(f127,plain,( 0.06/0.30 spl1_7 <=> ~$less(sK0,$ceiling(sK0))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])). 0.06/0.30 tff(f130,plain,( 0.06/0.30 spl1_6 <=> $less(sK0,$ceiling(sK0))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])). 0.06/0.30 tff(f131,plain,( 0.06/0.30 $less(sK0,$ceiling(sK0)) | ~spl1_6), 0.06/0.30 inference(avatar_component_clause,[],[f130])). 0.06/0.30 tff(f132,plain,( 0.06/0.30 spl1_6 | spl1_3), 0.06/0.30 inference(avatar_split_clause,[],[f125,f93,f130])). 0.06/0.30 tff(f133,plain,( 0.06/0.30 spl1_6 | spl1_3), 0.06/0.30 inference(avatar_split_clause,[],[f124,f93,f130])). 0.06/0.30 tff(f135,plain,( 0.06/0.30 $less(sK0,$sum(sK0,1.0)) | ~spl1_6), 0.06/0.30 inference(unit_resulting_resolution,[],[f27,f131,f21])). 0.06/0.30 tff(f136,plain,( 0.06/0.30 ~$less($ceiling($ceiling(sK0)),sK0) | ~spl1_6), 0.06/0.30 inference(unit_resulting_resolution,[],[f26,f131,f21])). 0.06/0.30 tff(f143,plain,( 0.06/0.30 spl1_9 <=> ~$less($ceiling($ceiling(sK0)),sK0)), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_9])])). 0.06/0.30 tff(f144,plain,( 0.06/0.30 ~$less($ceiling($ceiling(sK0)),sK0) | ~spl1_9), 0.06/0.30 inference(avatar_component_clause,[],[f143])). 0.06/0.30 tff(f145,plain,( 0.06/0.30 ~spl1_9 | ~spl1_6), 0.06/0.30 inference(avatar_split_clause,[],[f136,f130,f143])). 0.06/0.30 tff(f146,plain,( 0.06/0.30 $less(sK0,$sum(1.0,sK0)) | ~spl1_6), 0.06/0.30 inference(forward_demodulation,[],[f135,f15])). 0.06/0.30 tff(f151,plain,( 0.06/0.30 spl1_10 <=> $less(sK0,$sum(1.0,sK0))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])). 0.06/0.30 tff(f152,plain,( 0.06/0.30 $less(sK0,$sum(1.0,sK0)) | ~spl1_10), 0.06/0.30 inference(avatar_component_clause,[],[f151])). 0.06/0.30 tff(f153,plain,( 0.06/0.30 spl1_10 | ~spl1_6), 0.06/0.30 inference(avatar_split_clause,[],[f146,f130,f151])). 0.06/0.30 tff(f154,plain,( 0.06/0.30 ~$less($to_int($ceiling(sK0)),$to_int(sK0)) | ~spl1_4), 0.06/0.30 inference(unit_resulting_resolution,[],[f8,f105,f9])). 0.06/0.30 tff(f155,plain,( 0.06/0.30 ~$less($to_int($ceiling(sK0)),$to_int(sK0)) | ~spl1_4), 0.06/0.30 inference(unit_resulting_resolution,[],[f8,f105,f9])). 0.06/0.30 tff(f156,plain,( 0.06/0.30 ( ! [X0:$int] : ($less($sum($to_int(sK0),X0),$sum($to_int($ceiling(sK0)),X0))) ) | ~spl1_4), 0.06/0.30 inference(unit_resulting_resolution,[],[f105,f11])). 0.06/0.30 tff(f157,plain,( 0.06/0.30 ~$less($to_int($ceiling(sK0)),$sum($to_int(sK0),1)) | ~spl1_4), 0.06/0.30 inference(unit_resulting_resolution,[],[f105,f14])). 0.06/0.30 tff(f158,plain,( 0.06/0.30 ~$less($to_int($ceiling(sK0)),$sum(1,$to_int(sK0))) | ~spl1_4), 0.06/0.30 inference(forward_demodulation,[],[f157,f3])). 0.06/0.30 tff(f163,plain,( 0.06/0.30 spl1_13 <=> ~$less($to_int($ceiling(sK0)),$sum(1,$to_int(sK0)))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_13])])). 0.06/0.30 tff(f164,plain,( 0.06/0.30 ~$less($to_int($ceiling(sK0)),$sum(1,$to_int(sK0))) | ~spl1_13), 0.06/0.30 inference(avatar_component_clause,[],[f163])). 0.06/0.30 tff(f165,plain,( 0.06/0.30 ~spl1_13 | ~spl1_4), 0.06/0.30 inference(avatar_split_clause,[],[f158,f104,f163])). 0.06/0.30 tff(f170,plain,( 0.06/0.30 spl1_15 <=> ~$less($to_int($ceiling(sK0)),$to_int(sK0))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_15])])). 0.06/0.30 tff(f171,plain,( 0.06/0.30 ~$less($to_int($ceiling(sK0)),$to_int(sK0)) | ~spl1_15), 0.06/0.30 inference(avatar_component_clause,[],[f170])). 0.06/0.30 tff(f172,plain,( 0.06/0.30 ~spl1_15 | ~spl1_4), 0.06/0.30 inference(avatar_split_clause,[],[f155,f104,f170])). 0.06/0.30 tff(f173,plain,( 0.06/0.30 ~spl1_15 | ~spl1_4), 0.06/0.30 inference(avatar_split_clause,[],[f154,f104,f170])). 0.06/0.30 tff(f180,plain,( 0.06/0.30 ~$less($sum($ceiling(sK0),1.0),sK0) | ~spl1_9), 0.06/0.30 inference(unit_resulting_resolution,[],[f27,f144,f21])). 0.06/0.30 tff(f181,plain,( 0.06/0.30 $less(sK0,$sum($ceiling($ceiling(sK0)),1.0)) | ~spl1_9), 0.06/0.30 inference(unit_resulting_resolution,[],[f144,f24])). 0.06/0.30 tff(f183,plain,( 0.06/0.30 $less(sK0,$ceiling($ceiling(sK0))) | $ceiling($ceiling(sK0)) = sK0 | ~spl1_9), 0.06/0.30 inference(resolution,[],[f144,f22])). 0.06/0.30 tff(f184,plain,( 0.06/0.30 $less(sK0,$sum(1.0,$ceiling($ceiling(sK0)))) | ~spl1_9), 0.06/0.30 inference(forward_demodulation,[],[f181,f15])). 0.06/0.30 tff(f189,plain,( 0.06/0.30 spl1_16 <=> $less(sK0,$sum(1.0,$ceiling($ceiling(sK0))))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_16])])). 0.06/0.30 tff(f191,plain,( 0.06/0.30 spl1_16 | spl1_9), 0.06/0.30 inference(avatar_split_clause,[],[f184,f143,f189])). 0.06/0.30 tff(f192,plain,( 0.06/0.30 ~$less($sum(1.0,$ceiling(sK0)),sK0) | ~spl1_9), 0.06/0.30 inference(forward_demodulation,[],[f180,f15])). 0.06/0.30 tff(f197,plain,( 0.06/0.30 spl1_19 <=> ~$less($sum(1.0,$ceiling(sK0)),sK0)), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_19])])). 0.06/0.30 tff(f199,plain,( 0.06/0.30 ~spl1_19 | spl1_9), 0.06/0.30 inference(avatar_split_clause,[],[f192,f143,f197])). 0.06/0.30 tff(f204,plain,( 0.06/0.30 spl1_20 <=> $ceiling($ceiling(sK0)) = sK0), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_20])])). 0.06/0.30 tff(f205,plain,( 0.06/0.30 $ceiling($ceiling(sK0)) = sK0 | ~spl1_20), 0.06/0.30 inference(avatar_component_clause,[],[f204])). 0.06/0.30 tff(f210,plain,( 0.06/0.30 spl1_22 <=> $less(sK0,$ceiling($ceiling(sK0)))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_22])])). 0.06/0.30 tff(f212,plain,( 0.06/0.30 spl1_20 | spl1_22 | spl1_9), 0.06/0.30 inference(avatar_split_clause,[],[f183,f143,f210,f204])). 0.06/0.30 tff(f223,plain,( 0.06/0.30 $less($to_int(sK0),$sum($to_int($ceiling(sK0)),1)) | ~spl1_15), 0.06/0.30 inference(unit_resulting_resolution,[],[f171,f12])). 0.06/0.30 tff(f226,plain,( 0.06/0.30 $less($to_int(sK0),$sum(1,$to_int($ceiling(sK0)))) | ~spl1_15), 0.06/0.30 inference(forward_demodulation,[],[f223,f3])). 0.06/0.30 tff(f231,plain,( 0.06/0.30 spl1_24 <=> $less($to_int(sK0),$sum(1,$to_int($ceiling(sK0))))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_24])])). 0.06/0.30 tff(f233,plain,( 0.06/0.30 spl1_24 | spl1_15), 0.06/0.30 inference(avatar_split_clause,[],[f226,f170,f231])). 0.06/0.30 tff(f234,plain,( 0.06/0.30 ~$less($sum(1.0,sK0),sK0) | ~spl1_10), 0.06/0.30 inference(unit_resulting_resolution,[],[f20,f152,f21])). 0.06/0.30 tff(f235,plain,( 0.06/0.30 ~$less($ceiling($sum(1.0,sK0)),sK0) | ~spl1_10), 0.06/0.30 inference(unit_resulting_resolution,[],[f26,f152,f21])). 0.06/0.30 tff(f236,plain,( 0.06/0.30 ~$less($sum(1.0,sK0),sK0) | ~spl1_10), 0.06/0.30 inference(unit_resulting_resolution,[],[f20,f152,f21])). 0.06/0.30 tff(f243,plain,( 0.06/0.30 spl1_27 <=> ~$less($sum(1.0,sK0),sK0)), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_27])])). 0.06/0.30 tff(f245,plain,( 0.06/0.30 ~spl1_27 | ~spl1_10), 0.06/0.30 inference(avatar_split_clause,[],[f236,f151,f243])). 0.06/0.30 tff(f250,plain,( 0.06/0.30 spl1_29 <=> ~$less($ceiling($sum(1.0,sK0)),sK0)), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_29])])). 0.06/0.30 tff(f252,plain,( 0.06/0.30 ~spl1_29 | ~spl1_10), 0.06/0.30 inference(avatar_split_clause,[],[f235,f151,f250])). 0.06/0.30 tff(f253,plain,( 0.06/0.30 ~spl1_27 | ~spl1_10), 0.06/0.30 inference(avatar_split_clause,[],[f234,f151,f243])). 0.06/0.30 tff(f254,plain,( 0.06/0.30 $less($sum(1,$to_int(sK0)),$sum($to_int($ceiling(sK0)),1)) | ~spl1_13), 0.06/0.30 inference(unit_resulting_resolution,[],[f164,f12])). 0.06/0.30 tff(f256,plain,( 0.06/0.30 $less($sum(1,$to_int(sK0)),$to_int($ceiling(sK0))) | $to_int($ceiling(sK0)) = $sum(1,$to_int(sK0)) | ~spl1_13), 0.06/0.30 inference(resolution,[],[f164,f10])). 0.06/0.30 tff(f257,plain,( 0.06/0.30 $less($sum(1,$to_int(sK0)),$sum(1,$to_int($ceiling(sK0)))) | ~spl1_13), 0.06/0.30 inference(forward_demodulation,[],[f254,f3])). 0.06/0.30 tff(f262,plain,( 0.06/0.30 spl1_30 <=> $less($sum(1,$to_int(sK0)),$sum(1,$to_int($ceiling(sK0))))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_30])])). 0.06/0.30 tff(f264,plain,( 0.06/0.30 spl1_30 | spl1_13), 0.06/0.30 inference(avatar_split_clause,[],[f257,f163,f262])). 0.06/0.30 tff(f269,plain,( 0.06/0.30 spl1_32 <=> $to_int($ceiling(sK0)) = $sum(1,$to_int(sK0))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_32])])). 0.06/0.30 tff(f275,plain,( 0.06/0.30 spl1_34 <=> $less($sum(1,$to_int(sK0)),$to_int($ceiling(sK0)))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_34])])). 0.06/0.30 tff(f277,plain,( 0.06/0.30 spl1_32 | spl1_34 | spl1_13), 0.06/0.30 inference(avatar_split_clause,[],[f256,f163,f275,f269])). 0.06/0.30 tff(f287,plain,( 0.06/0.30 $less(0,$sum($to_int($ceiling(sK0)),$uminus($to_int(sK0)))) | ~spl1_4), 0.06/0.30 inference(superposition,[],[f156,f7])). 0.06/0.30 tff(f291,plain,( 0.06/0.30 $less($sum($to_int(sK0),$uminus($to_int($ceiling(sK0)))),0) | ~spl1_4), 0.06/0.30 inference(superposition,[],[f156,f7])). 0.06/0.30 tff(f303,plain,( 0.06/0.30 spl1_36 <=> $less(0,$sum($to_int($ceiling(sK0)),$uminus($to_int(sK0))))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_36])])). 0.06/0.30 tff(f305,plain,( 0.06/0.30 spl1_36 | ~spl1_4), 0.06/0.30 inference(avatar_split_clause,[],[f287,f104,f303])). 0.06/0.30 tff(f310,plain,( 0.06/0.30 spl1_38 <=> $less($sum($to_int(sK0),$uminus($to_int($ceiling(sK0)))),0)), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_38])])). 0.06/0.30 tff(f312,plain,( 0.06/0.30 spl1_38 | ~spl1_4), 0.06/0.30 inference(avatar_split_clause,[],[f291,f104,f310])). 0.06/0.30 tff(f336,plain,( 0.06/0.30 ~$less(sK0,$ceiling(sK0)) | ~spl1_20), 0.06/0.30 inference(superposition,[],[f26,f205])). 0.06/0.30 tff(f337,plain,( 0.06/0.30 $less(sK0,$sum($ceiling(sK0),1.0)) | ~spl1_20), 0.06/0.30 inference(superposition,[],[f27,f205])). 0.06/0.30 tff(f368,plain,( 0.06/0.30 ~spl1_7 | ~spl1_20), 0.06/0.30 inference(avatar_split_clause,[],[f336,f204,f127])). 0.06/0.30 tff(f369,plain,( 0.06/0.30 $less(sK0,$sum(1.0,$ceiling(sK0))) | ~spl1_20), 0.06/0.30 inference(forward_demodulation,[],[f337,f15])). 0.06/0.30 tff(f374,plain,( 0.06/0.30 spl1_40 <=> $less(sK0,$sum(1.0,$ceiling(sK0)))), 0.06/0.30 introduced(avatar_definition,[new_symbols(naming,[spl1_40])])). 0.06/0.30 tff(f376,plain,( 0.06/0.30 spl1_40 | ~spl1_20), 0.06/0.30 inference(avatar_split_clause,[],[f369,f204,f374])). 0.06/0.30 tff(f377,plain,( 0.06/0.30 $false), 0.06/0.30 inference(avatar_sat_refutation,[],[f50,f52,f54,f55,f95,f96,f98,f106,f108,f111,f113,f114,f116,f119,f121,f123,f132,f133,f145,f153,f165,f172,f173,f191,f199,f212,f233,f245,f252,f253,f264,f277,f305,f312,f368,f376])). 0.06/0.30 % SZS output end Proof for theBenchmark 0.06/0.30 % ------------------------------ 0.06/0.30 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.06/0.30 % Termination reason: Refutation 0.06/0.30 0.06/0.30 % Memory used [KB]: 5245 0.06/0.30 % Time elapsed: 0.041 s 0.06/0.30 % ------------------------------ 0.06/0.30 % ------------------------------ 0.06/0.30 % Success in time 0.075 s 0.06/0.30 EOF