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 0.03/0.23 % Computer : n125.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 04:19:40 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.26 % dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 0.06/0.32 % Refutation not found, incomplete strategy 0.06/0.32 % ------------------------------ 0.06/0.32 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.06/0.32 % Termination reason: Refutation not found, incomplete strategy 0.06/0.32 0.06/0.32 % Memory used [KB]: 4989 0.06/0.32 % Time elapsed: 0.060 s 0.06/0.32 % ------------------------------ 0.06/0.32 % ------------------------------ 0.06/0.36 % 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_11 on theBenchmark 0.06/0.41 % Refutation found. Thanks to Tanya! 0.06/0.41 % SZS status Theorem for theBenchmark 0.06/0.41 % SZS output start Proof for theBenchmark 0.06/0.41 tff(func_def_7, type, sK0: $int). 0.06/0.41 tff(f1,conjecture,( 0.06/0.41 ! [X0 : $int] : ($less(5,X0) => ? [X1 : $int] : ($less(7,$sum(X0,X1)) & $less(X1,3)))), 0.06/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_2)). 0.06/0.41 tff(f2,negated_conjecture,( 0.06/0.41 ~! [X0 : $int] : ($less(5,X0) => ? [X1 : $int] : ($less(7,$sum(X0,X1)) & $less(X1,3)))), 0.06/0.41 inference(negated_conjecture,[],[f1])). 0.06/0.41 tff(f3,plain,( 0.06/0.41 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 0.06/0.41 introduced(theory_axiom,[])). 0.06/0.41 tff(f5,plain,( 0.06/0.41 ( ! [X0:$int] : ($sum(X0,0) = X0) )), 0.06/0.41 introduced(theory_axiom,[])). 0.06/0.41 tff(f8,plain,( 0.06/0.41 ( ! [X0:$int] : (~$less(X0,X0)) )), 0.06/0.41 introduced(theory_axiom,[])). 0.06/0.41 tff(f9,plain,( 0.06/0.41 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )), 0.06/0.41 introduced(theory_axiom,[])). 0.06/0.41 tff(f10,plain,( 0.06/0.41 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 0.06/0.41 introduced(theory_axiom,[])). 0.06/0.41 tff(f12,plain,( 0.06/0.41 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )), 0.06/0.41 introduced(theory_axiom,[])). 0.06/0.41 tff(f14,plain,( 0.06/0.41 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )), 0.06/0.41 introduced(theory_axiom,[])). 0.06/0.41 tff(f15,plain,( 0.06/0.41 ? [X0 : $int] : (! [X1 : $int] : (~$less(7,$sum(X0,X1)) | ~$less(X1,3)) & $less(5,X0))), 0.06/0.41 inference(ennf_transformation,[],[f2])). 0.06/0.41 tff(f16,plain,( 0.06/0.41 ? [X0 : $int] : (! [X1 : $int] : (~$less(7,$sum(X0,X1)) | ~$less(X1,3)) & $less(5,X0)) => (! [X1 : $int] : (~$less(7,$sum(sK0,X1)) | ~$less(X1,3)) & $less(5,sK0))), 0.06/0.41 introduced(choice_axiom,[])). 0.06/0.41 tff(f17,plain,( 0.06/0.41 ! [X1 : $int] : (~$less(7,$sum(sK0,X1)) | ~$less(X1,3)) & $less(5,sK0)), 0.06/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16])). 0.06/0.41 tff(f18,plain,( 0.06/0.41 $less(5,sK0)), 0.06/0.41 inference(cnf_transformation,[],[f17])). 0.06/0.41 tff(f19,plain,( 0.06/0.41 ( ! [X1:$int] : (~$less(7,$sum(sK0,X1)) | ~$less(X1,3)) )), 0.06/0.41 inference(cnf_transformation,[],[f17])). 0.06/0.41 tff(f21,plain,( 0.06/0.41 spl1_0 <=> $less(5,sK0)), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_0])])). 0.06/0.41 tff(f22,plain,( 0.06/0.41 $less(5,sK0) | ~spl1_0), 0.06/0.41 inference(avatar_component_clause,[],[f21])). 0.06/0.41 tff(f23,plain,( 0.06/0.41 spl1_0), 0.06/0.41 inference(avatar_split_clause,[],[f18,f21])). 0.06/0.41 tff(f24,plain,( 0.06/0.41 ( ! [X0:$int] : (~$less(X0,5) | $less(X0,sK0)) ) | ~spl1_0), 0.06/0.41 inference(resolution,[],[f22,f9])). 0.06/0.41 tff(f25,plain,( 0.06/0.41 ( ! [X1:$int] : (~$less(sK0,X1) | $less(5,X1)) ) | ~spl1_0), 0.06/0.41 inference(resolution,[],[f22,f9])). 0.06/0.41 tff(f27,plain,( 0.06/0.41 ~$less(sK0,$sum(5,1)) | ~spl1_0), 0.06/0.41 inference(resolution,[],[f22,f14])). 0.06/0.41 tff(f28,plain,( 0.06/0.41 ~$less(sK0,6) | ~spl1_0), 0.06/0.41 inference(evaluation,[],[f27])). 0.06/0.41 tff(f30,plain,( 0.06/0.41 spl1_3 <=> ~$less(sK0,6)), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])). 0.06/0.41 tff(f31,plain,( 0.06/0.41 ~$less(sK0,6) | ~spl1_3), 0.06/0.41 inference(avatar_component_clause,[],[f30])). 0.06/0.41 tff(f32,plain,( 0.06/0.41 ~spl1_3 | ~spl1_0), 0.06/0.41 inference(avatar_split_clause,[],[f28,f21,f30])). 0.06/0.41 tff(f34,plain,( 0.06/0.41 $less(6,sK0) | sK0 = 6 | ~spl1_3), 0.06/0.41 inference(resolution,[],[f31,f10])). 0.06/0.41 tff(f35,plain,( 0.06/0.41 $less(6,sK0) | sK0 = 6 | ~spl1_3), 0.06/0.41 inference(resolution,[],[f31,f10])). 0.06/0.41 tff(f40,plain,( 0.06/0.41 spl1_4 <=> sK0 = 6), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])). 0.06/0.41 tff(f41,plain,( 0.06/0.41 sK0 = 6 | ~spl1_4), 0.06/0.41 inference(avatar_component_clause,[],[f40])). 0.06/0.41 tff(f43,plain,( 0.06/0.41 spl1_6 <=> $less(6,sK0)), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])). 0.06/0.41 tff(f45,plain,( 0.06/0.41 spl1_4 | spl1_6 | spl1_3), 0.06/0.41 inference(avatar_split_clause,[],[f34,f30,f43,f40])). 0.06/0.41 tff(f46,plain,( 0.06/0.41 spl1_4 | spl1_6 | spl1_3), 0.06/0.41 inference(avatar_split_clause,[],[f35,f30,f43,f40])). 0.06/0.41 tff(f47,plain,( 0.06/0.41 ~$less(1,3) | $less(sK0,7)), 0.06/0.41 inference(resolution,[],[f19,f12])). 0.06/0.41 tff(f48,plain,( 0.06/0.41 ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(sK0,X0)) | ~$less(7,X1) | ~$less(X0,3)) )), 0.06/0.41 inference(resolution,[],[f19,f9])). 0.06/0.41 tff(f52,plain,( 0.06/0.41 ( ! [X0:$int] : (~$less(7,$sum(X0,sK0)) | ~$less(X0,3)) )), 0.06/0.41 inference(superposition,[],[f19,f3])). 0.06/0.41 tff(f54,plain,( 0.06/0.41 ~$less(7,sK0) | ~$less(0,3)), 0.06/0.41 inference(superposition,[],[f19,f5])). 0.06/0.41 tff(f56,plain,( 0.06/0.41 ~$less(7,sK0)), 0.06/0.41 inference(evaluation,[],[f54])). 0.06/0.41 tff(f58,plain,( 0.06/0.41 $less(sK0,7)), 0.06/0.41 inference(evaluation,[],[f47])). 0.06/0.41 tff(f60,plain,( 0.06/0.41 spl1_8 <=> $less(sK0,7)), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])). 0.06/0.41 tff(f62,plain,( 0.06/0.41 spl1_8), 0.06/0.41 inference(avatar_split_clause,[],[f58,f60])). 0.06/0.41 tff(f64,plain,( 0.06/0.41 spl1_11 <=> ~$less(7,sK0)), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_11])])). 0.06/0.41 tff(f66,plain,( 0.06/0.41 ~spl1_11), 0.06/0.41 inference(avatar_split_clause,[],[f56,f64])). 0.06/0.41 tff(f85,plain,( 0.06/0.41 ( ! [X2:$int] : ($less(X2,sK0) | $less(5,X2) | 5 = X2) ) | ~spl1_0), 0.06/0.41 inference(resolution,[],[f24,f10])). 0.06/0.41 tff(f87,plain,( 0.06/0.41 ( ! [X4:$int] : ($less(X4,sK0) | $less(5,$sum(X4,1))) ) | ~spl1_0), 0.06/0.41 inference(resolution,[],[f24,f12])). 0.06/0.41 tff(f88,plain,( 0.06/0.41 ( ! [X4:$int] : ($less(X4,sK0) | $less($sum(5,-1),X4)) ) | ~spl1_0), 0.06/0.41 inference(evaluation,[],[f87])). 0.06/0.41 tff(f89,plain,( 0.06/0.41 ( ! [X4:$int] : ($less(X4,sK0) | $less(4,X4)) ) | ~spl1_0), 0.06/0.41 inference(evaluation,[],[f88])). 0.06/0.41 tff(f91,plain,( 0.06/0.41 ( ! [X2:$int] : ($less(5,X2) | $less(X2,6) | 5 = X2) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(forward_demodulation,[],[f85,f41])). 0.06/0.41 tff(f93,plain,( 0.06/0.41 ( ! [X4:$int] : ($less(4,X4) | $less(X4,6)) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(forward_demodulation,[],[f89,f41])). 0.06/0.41 tff(f103,plain,( 0.06/0.41 ( ! [X2:$int] : ($less(5,X2) | $less(X2,sK0) | sK0 = X2) ) | ~spl1_0), 0.06/0.41 inference(resolution,[],[f25,f10])). 0.06/0.41 tff(f105,plain,( 0.06/0.41 ( ! [X4:$int] : ($less(5,X4) | $less(X4,$sum(sK0,1))) ) | ~spl1_0), 0.06/0.41 inference(resolution,[],[f25,f12])). 0.06/0.41 tff(f111,plain,( 0.06/0.41 ( ! [X2:$int] : ($less(X2,6) | $less(5,X2) | sK0 = X2) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(forward_demodulation,[],[f103,f41])). 0.06/0.41 tff(f112,plain,( 0.06/0.41 ( ! [X2:$int] : ($less(5,X2) | $less(X2,6) | 6 = X2) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(forward_demodulation,[],[f111,f41])). 0.06/0.41 tff(f115,plain,( 0.06/0.41 ( ! [X4:$int] : ($less(X4,$sum(1,sK0)) | $less(5,X4)) ) | ~spl1_0), 0.06/0.41 inference(forward_demodulation,[],[f105,f3])). 0.06/0.41 tff(f116,plain,( 0.06/0.41 ( ! [X4:$int] : ($less(X4,$sum(1,6)) | $less(5,X4)) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(forward_demodulation,[],[f115,f41])). 0.06/0.41 tff(f117,plain,( 0.06/0.41 ( ! [X4:$int] : ($less(5,X4) | $less(X4,7)) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(evaluation,[],[f116])). 0.06/0.41 tff(f153,plain,( 0.06/0.41 ( ! [X2:$int] : (~$less(X2,3) | $less($sum(X2,sK0),7) | 7 = $sum(X2,sK0)) )), 0.06/0.41 inference(resolution,[],[f52,f10])). 0.06/0.41 tff(f155,plain,( 0.06/0.41 ( ! [X4:$int] : (~$less(X4,3) | $less($sum(X4,sK0),$sum(7,1))) )), 0.06/0.41 inference(resolution,[],[f52,f12])). 0.06/0.41 tff(f162,plain,( 0.06/0.41 ( ! [X4:$int] : (~$less(X4,3) | $less($sum(X4,sK0),8)) )), 0.06/0.41 inference(evaluation,[],[f155])). 0.06/0.41 tff(f164,plain,( 0.06/0.41 ( ! [X2:$int] : ($less($sum(X2,6),7) | ~$less(X2,3) | 7 = $sum(X2,sK0)) ) | ~spl1_4), 0.06/0.41 inference(forward_demodulation,[],[f153,f41])). 0.06/0.41 tff(f165,plain,( 0.06/0.41 ( ! [X2:$int] : ($less(X2,$sum(7,-6)) | ~$less(X2,3) | 7 = $sum(X2,sK0)) ) | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f164])). 0.06/0.41 tff(f166,plain,( 0.06/0.41 ( ! [X2:$int] : ($less(X2,1) | ~$less(X2,3) | 7 = $sum(X2,sK0)) ) | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f165])). 0.06/0.41 tff(f167,plain,( 0.06/0.41 ( ! [X2:$int] : (7 = $sum(X2,6) | $less(X2,1) | ~$less(X2,3)) ) | ~spl1_4), 0.06/0.41 inference(forward_demodulation,[],[f166,f41])). 0.06/0.41 tff(f168,plain,( 0.06/0.41 ( ! [X2:$int] : ($sum(7,-6) = X2 | $less(X2,1) | ~$less(X2,3)) ) | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f167])). 0.06/0.41 tff(f169,plain,( 0.06/0.41 ( ! [X2:$int] : (~$less(X2,3) | $less(X2,1) | 1 = X2) ) | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f168])). 0.06/0.41 tff(f176,plain,( 0.06/0.41 ( ! [X4:$int] : ($less($sum(X4,6),8) | ~$less(X4,3)) ) | ~spl1_4), 0.06/0.41 inference(forward_demodulation,[],[f162,f41])). 0.06/0.41 tff(f177,plain,( 0.06/0.41 ( ! [X4:$int] : ($less(X4,$sum(8,-6)) | ~$less(X4,3)) ) | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f176])). 0.06/0.41 tff(f178,plain,( 0.06/0.41 ( ! [X4:$int] : (~$less(X4,3) | $less(X4,2)) ) | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f177])). 0.06/0.41 tff(f224,plain,( 0.06/0.41 ( ! [X2:$int,X3:$int,X1:$int] : (~$less(7,X1) | ~$less(X2,3) | ~$less(X1,X3) | ~$less(X3,$sum(sK0,X2))) )), 0.06/0.41 inference(resolution,[],[f48,f9])). 0.06/0.41 tff(f240,plain,( 0.06/0.41 ( ! [X2:$int,X3:$int,X1:$int] : (~$less(X3,$sum(6,X2)) | ~$less(7,X1) | ~$less(X2,3) | ~$less(X1,X3)) ) | ~spl1_4), 0.06/0.41 inference(forward_demodulation,[],[f224,f41])). 0.06/0.41 tff(f349,plain,( 0.06/0.41 ( ! [X4:$int] : ($less(X4,2) | $less(3,$sum(X4,1))) ) | ~spl1_4), 0.06/0.41 inference(resolution,[],[f178,f12])). 0.06/0.41 tff(f352,plain,( 0.06/0.41 ( ! [X4:$int] : ($less(X4,2) | $less($sum(3,-1),X4)) ) | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f349])). 0.06/0.41 tff(f353,plain,( 0.06/0.41 ( ! [X4:$int] : ($less(2,X4) | $less(X4,2)) ) | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f352])). 0.06/0.41 tff(f797,plain,( 0.06/0.41 ( ! [X30:$int,X29:$int] : (~$less(7,X29) | ~$less(X30,3) | ~$less(X29,5) | $less($sum(6,X30),6) | $sum(6,X30) = 6) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(resolution,[],[f240,f112])). 0.06/0.41 tff(f798,plain,( 0.06/0.41 ( ! [X31:$int,X32:$int] : (~$less(7,X31) | ~$less(X32,3) | ~$less(X31,5) | $less($sum(6,X32),6) | $sum(6,X32) = 5) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(resolution,[],[f240,f91])). 0.06/0.41 tff(f799,plain,( 0.06/0.41 ( ! [X33:$int,X34:$int] : (~$less(7,X33) | ~$less(X34,3) | ~$less(X33,5) | $less($sum(6,X34),7)) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(resolution,[],[f240,f117])). 0.06/0.41 tff(f801,plain,( 0.06/0.41 ( ! [X37:$int,X38:$int] : (~$less(7,X37) | ~$less(X38,3) | ~$less(X37,4) | $less($sum(6,X38),6)) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(resolution,[],[f240,f93])). 0.06/0.41 tff(f808,plain,( 0.06/0.41 ( ! [X37:$int,X38:$int] : (~$less(7,X37) | ~$less(X38,3) | ~$less(X37,4) | $less(X38,$sum(6,-6))) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(evaluation,[],[f801])). 0.06/0.41 tff(f809,plain,( 0.06/0.41 ( ! [X37:$int,X38:$int] : (~$less(7,X37) | ~$less(X38,3) | ~$less(X37,4) | $less(X38,0)) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(evaluation,[],[f808])). 0.06/0.41 tff(f812,plain,( 0.06/0.41 ( ! [X33:$int,X34:$int] : (~$less(7,X33) | ~$less(X34,3) | ~$less(X33,5) | $less(X34,$sum(7,-6))) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(evaluation,[],[f799])). 0.06/0.41 tff(f813,plain,( 0.06/0.41 ( ! [X33:$int,X34:$int] : (~$less(7,X33) | ~$less(X34,3) | ~$less(X33,5) | $less(X34,1)) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(evaluation,[],[f812])). 0.06/0.41 tff(f814,plain,( 0.06/0.41 ( ! [X31:$int,X32:$int] : (~$less(7,X31) | ~$less(X32,3) | ~$less(X31,5) | $less(X32,$sum(6,-6)) | $sum(5,-6) = X32) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(evaluation,[],[f798])). 0.06/0.41 tff(f815,plain,( 0.06/0.41 ( ! [X31:$int,X32:$int] : (~$less(7,X31) | ~$less(X32,3) | ~$less(X31,5) | $less(X32,0) | -1 = X32) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(evaluation,[],[f814])). 0.06/0.41 tff(f816,plain,( 0.06/0.41 ( ! [X30:$int,X29:$int] : (~$less(7,X29) | ~$less(X30,3) | ~$less(X29,5) | $less(X30,$sum(6,-6)) | $sum(6,-6) = X30) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(evaluation,[],[f797])). 0.06/0.41 tff(f817,plain,( 0.06/0.41 ( ! [X30:$int,X29:$int] : (~$less(7,X29) | ~$less(X30,3) | ~$less(X29,5) | $less(X30,0) | 0 = X30) ) | (~spl1_0 | ~spl1_4)), 0.06/0.41 inference(evaluation,[],[f816])). 0.06/0.41 tff(f822,plain,( 0.06/0.41 spl1_12 <=> ! [X30 : $int] : (~$less(X30,3) | 0 = X30 | $less(X30,0))), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_12])])). 0.06/0.41 tff(f825,plain,( 0.06/0.41 spl1_14 <=> ! [X29 : $int] : (~$less(7,X29) | ~$less(X29,5))), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_14])])). 0.06/0.41 tff(f827,plain,( 0.06/0.41 spl1_12 | spl1_14 | ~spl1_0 | ~spl1_4), 0.06/0.41 inference(avatar_split_clause,[],[f817,f40,f21,f825,f822])). 0.06/0.41 tff(f829,plain,( 0.06/0.41 spl1_16 <=> ! [X32 : $int] : (~$less(X32,3) | -1 = X32 | $less(X32,0))), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_16])])). 0.06/0.41 tff(f831,plain,( 0.06/0.41 spl1_16 | spl1_14 | ~spl1_0 | ~spl1_4), 0.06/0.41 inference(avatar_split_clause,[],[f815,f40,f21,f825,f829])). 0.06/0.41 tff(f833,plain,( 0.06/0.41 spl1_18 <=> ! [X34 : $int] : (~$less(X34,3) | $less(X34,1))), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_18])])). 0.06/0.41 tff(f835,plain,( 0.06/0.41 spl1_18 | spl1_14 | ~spl1_0 | ~spl1_4), 0.06/0.41 inference(avatar_split_clause,[],[f813,f40,f21,f825,f833])). 0.06/0.41 tff(f837,plain,( 0.06/0.41 spl1_20 <=> ! [X38 : $int] : (~$less(X38,3) | $less(X38,0))), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_20])])). 0.06/0.41 tff(f840,plain,( 0.06/0.41 spl1_22 <=> ! [X37 : $int] : (~$less(7,X37) | ~$less(X37,4))), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_22])])). 0.06/0.41 tff(f842,plain,( 0.06/0.41 spl1_20 | spl1_22 | ~spl1_0 | ~spl1_4), 0.06/0.41 inference(avatar_split_clause,[],[f809,f40,f21,f840,f837])). 0.06/0.41 tff(f1043,plain,( 0.06/0.41 $less(2,2) | ~spl1_4), 0.06/0.41 inference(resolution,[],[f353,f8])). 0.06/0.41 tff(f1048,plain,( 0.06/0.41 $less(3,2) | $less(2,1) | 1 = 2 | ~spl1_4), 0.06/0.41 inference(resolution,[],[f353,f169])). 0.06/0.41 tff(f1049,plain,( 0.06/0.41 $less(3,2) | $less(2,2) | ~spl1_4), 0.06/0.41 inference(resolution,[],[f353,f178])). 0.06/0.41 tff(f1055,plain,( 0.06/0.41 ( ! [X14:$int,X13:$int] : ($less($sum(6,X13),2) | ~$less(7,X14) | ~$less(X13,3) | ~$less(X14,2)) ) | ~spl1_4), 0.06/0.41 inference(resolution,[],[f353,f240])). 0.06/0.41 tff(f1064,plain,( 0.06/0.41 $less(2,2) | ~spl1_4), 0.06/0.41 inference(factoring,[],[f353])). 0.06/0.41 tff(f1065,plain,( 0.06/0.41 $false | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f1064])). 0.06/0.41 tff(f1066,plain,( 0.06/0.41 ~spl1_4), 0.06/0.41 inference(avatar_contradiction_clause,[],[f1065])). 0.06/0.41 tff(f1069,plain,( 0.06/0.41 ( ! [X14:$int,X13:$int] : ($less(X13,$sum(2,-6)) | ~$less(7,X14) | ~$less(X13,3) | ~$less(X14,2)) ) | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f1055])). 0.06/0.41 tff(f1070,plain,( 0.06/0.41 ( ! [X14:$int,X13:$int] : ($less(X13,-4) | ~$less(7,X14) | ~$less(X13,3) | ~$less(X14,2)) ) | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f1069])). 0.06/0.41 tff(f1075,plain,( 0.06/0.41 $false | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f1049])). 0.06/0.41 tff(f1076,plain,( 0.06/0.41 ~spl1_4), 0.06/0.41 inference(avatar_contradiction_clause,[],[f1075])). 0.06/0.41 tff(f1077,plain,( 0.06/0.41 $false | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f1048])). 0.06/0.41 tff(f1078,plain,( 0.06/0.41 ~spl1_4), 0.06/0.41 inference(avatar_contradiction_clause,[],[f1077])). 0.06/0.41 tff(f1080,plain,( 0.06/0.41 $false | ~spl1_4), 0.06/0.41 inference(evaluation,[],[f1043])). 0.06/0.41 tff(f1081,plain,( 0.06/0.41 ~spl1_4), 0.06/0.41 inference(avatar_contradiction_clause,[],[f1080])). 0.06/0.41 tff(f1083,plain,( 0.06/0.41 spl1_24 <=> ! [X14 : $int] : (~$less(7,X14) | ~$less(X14,2))), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_24])])). 0.06/0.41 tff(f1086,plain,( 0.06/0.41 spl1_26 <=> ! [X13 : $int] : ($less(X13,-4) | ~$less(X13,3))), 0.06/0.41 introduced(avatar_definition,[new_symbols(naming,[spl1_26])])). 0.06/0.41 tff(f1088,plain,( 0.06/0.41 spl1_24 | spl1_26 | ~spl1_4), 0.06/0.41 inference(avatar_split_clause,[],[f1070,f40,f1086,f1083])). 0.06/0.41 tff(f1090,plain,( 0.06/0.41 $false), 0.06/0.41 inference(avatar_sat_refutation,[],[f23,f32,f45,f46,f62,f66,f827,f831,f835,f842,f1066,f1076,f1078,f1081,f1088])). 0.06/0.41 % SZS output end Proof for theBenchmark 0.06/0.41 % ------------------------------ 0.06/0.41 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.06/0.41 % Termination reason: Refutation 0.06/0.41 0.06/0.41 % Memory used [KB]: 5500 0.06/0.41 % Time elapsed: 0.050 s 0.06/0.41 % ------------------------------ 0.06/0.41 % ------------------------------ 0.06/0.41 % Success in time 0.178 s 0.06/0.41 EOF