0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : vampire --mode casc -t %d %s 0.14/0.34 % Computer : n014.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % DateTime : Thu Jul 2 07:57:40 EDT 2020 0.14/0.35 % CPUTime : 0.21/0.42 % lrs+1011_5_afr=on:afp=100000:afq=1.0:amm=off:anc=none:cond=on:lma=on:nm=6:nwc=1:sas=z3:stl=30:sac=on:urr=on_18 on theBenchmark 2.78/2.92 % Time limit reached! 2.78/2.92 % ------------------------------ 2.78/2.92 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.78/2.92 % Termination reason: Time limit 2.78/2.92 % Termination phase: Saturation 2.78/2.92 2.78/2.92 % Memory used [KB]: 41705 2.78/2.92 % Time elapsed: 2.500 s 2.78/2.92 % ------------------------------ 2.78/2.92 % ------------------------------ 2.80/2.98 % lrs+4_14_afr=on:afp=4000:afq=1.1:anc=none:cond=on:gs=on:gsem=on:irw=on:lma=on:nm=6:nwc=1.1:sas=z3:stl=30:sd=4:ss=axioms:st=1.2:sos=all:updr=off_51 on theBenchmark 9.71/9.78 % Time limit reached! 9.71/9.78 % ------------------------------ 9.71/9.78 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 9.71/9.78 % Termination reason: Time limit 9.71/9.78 % Termination phase: Saturation 9.71/9.78 9.71/9.78 % Memory used [KB]: 15991 9.71/9.78 % Time elapsed: 6.800 s 9.71/9.78 % ------------------------------ 9.71/9.78 % ------------------------------ 9.77/9.81 % lrs+11_1024_afr=on:afp=40000:afq=2.0:anc=none:br=off:ep=RSTC:gs=on:nm=16:nwc=1:stl=30:sp=occurrence:urr=on_118 on theBenchmark 25.51/25.31 % Time limit reached! 25.51/25.31 % ------------------------------ 25.51/25.31 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 25.51/25.31 % Termination reason: Time limit 25.51/25.31 % Termination phase: Saturation 25.51/25.31 25.51/25.31 % Memory used [KB]: 546131 25.51/25.31 % Time elapsed: 15.500 s 25.51/25.31 % ------------------------------ 25.51/25.31 % ------------------------------ 25.61/25.36 % dis+1010_10_afr=on:afp=100000:afq=2.0:amm=sco:anc=none:ep=RS:fde=unused:gs=on:nwc=1:sos=on:sac=on:sp=occurrence_22 on theBenchmark 25.61/25.38 % Refutation found. Thanks to Tanya! 25.61/25.38 % SZS status Theorem for theBenchmark 25.61/25.38 % SZS output start Proof for theBenchmark 25.61/25.38 fof(f1626,plain,( 25.61/25.38 $false), 25.61/25.38 inference(subsumption_resolution,[],[f1623,f229])). 25.61/25.38 fof(f229,plain,( 25.61/25.38 ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK11,sK10),sK12),s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK14))))), 25.61/25.38 inference(cnf_transformation,[],[f135])). 25.61/25.38 fof(f135,plain,( 25.61/25.38 ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK11,sK10),sK12),s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK14)))) & p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK11,sK10),sK12),s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK13)))) & ! [X5] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK13),s(sK10,X5)))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK14),s(sK10,X5)))))), 25.61/25.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14])],[f95,f134])). 25.61/25.38 fof(f134,plain,( 25.61/25.38 ? [X0,X1,X2,X3,X4] : (~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4)))) & p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))) & ! [X5] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X5)))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5)))))) => (~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK11,sK10),sK12),s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK14)))) & p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK11,sK10),sK12),s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK13)))) & ! [X5] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK13),s(sK10,X5)))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK14),s(sK10,X5))))))), 25.61/25.38 introduced(choice_axiom,[])). 25.61/25.38 fof(f95,plain,( 25.61/25.38 ? [X0,X1,X2,X3,X4] : (~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4)))) & p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))) & ! [X5] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X5)))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5))))))), 25.61/25.38 inference(flattening,[],[f94])). 25.61/25.38 fof(f94,plain,( 25.61/25.38 ? [X0,X1,X2,X3,X4] : ((~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4)))) & p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))) & ! [X5] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X5)))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5))))))), 25.61/25.38 inference(ennf_transformation,[],[f51])). 25.61/25.38 fof(f51,plain,( 25.61/25.38 ~! [X0,X1,X2,X3,X4] : (! [X5] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5)))) => p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X5))))) => (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))) => p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4))))))), 25.61/25.38 inference(rectify,[],[f30])). 25.61/25.38 fof(f30,negated_conjecture,( 25.61/25.38 ~! [X3,X4,X14,X15,X46] : (! [X47] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X46),s(X3,X47)))) => p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X15),s(X3,X47))))) => (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X4,X3),X14),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X15)))) => p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X4,X3),X14),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X46))))))), 25.61/25.38 inference(negated_conjecture,[],[f29])). 25.61/25.38 fof(f29,conjecture,( 25.61/25.38 ! [X3,X4,X14,X15,X46] : (! [X47] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X46),s(X3,X47)))) => p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X15),s(X3,X47))))) => (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X4,X3),X14),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X15)))) => p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X4,X3),X14),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X46))))))), 25.61/25.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT)). 25.61/25.38 fof(f1623,plain,( 25.61/25.38 p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK11,sK10),sK12),s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK14))))), 25.61/25.38 inference(resolution,[],[f1018,f228])). 25.61/25.38 fof(f228,plain,( 25.61/25.38 p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK11,sK10),sK12),s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK13))))), 25.61/25.38 inference(cnf_transformation,[],[f135])). 25.61/25.38 fof(f1018,plain,( 25.61/25.38 ( ! [X2,X3] : (~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,sK10),X3),s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK13)))) | p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,sK10),X3),s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK14))))) )), 25.61/25.38 inference(resolution,[],[f529,f414])). 25.61/25.38 fof(f414,plain,( 25.61/25.38 ( ! [X0,X17,X1,X18,X16] : (~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X18)))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17))))) )), 25.61/25.38 inference(cnf_transformation,[],[f222])). 25.61/25.38 fof(f222,plain,( 25.61/25.38 ! [X0,X1,X2,X3] : (! [X4,X5] : ((! [X6] : (s(X1,X6) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,sK17(X0,X1,X4,X6)))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5)))) | (! [X9] : s(X1,sK18(X0,X1,X4,X5)) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X9))) & p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,sK18(X0,X1,X4,X5)))))))) & ! [X10,X11] : ((! [X12] : (s(X1,X12) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,sK19(X0,X1,X10,X12)))) | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11),s(X1,X12))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11)))) | (! [X15] : s(X1,sK20(X0,X1,X10,X11)) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,X15))) & ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11),s(X1,sK20(X0,X1,X10,X11)))))))) & ! [X16,X17] : ((! [X18] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X18)))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17)))) | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,sK21(X0,X1,X16,X17))))))))) & ! [X20,X21] : ((! [X22] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X22)))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21)))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,sK22(X0,X1,X20,X21))))))))) & (! [X24] : (~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK23(X0,X1,X2,X3))))))) | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X24))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) | (! [X27] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X27)))))) & ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,sK24(X0,X1,X2,X3))))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) | (! [X29] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X29)))))) & p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,sK25(X0,X1,X2,X3))))))) & (! [X30] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK26(X0,X1,X2,X3))))))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X30))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))))), 25.61/25.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26])],[f211,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212])). 25.61/25.38 fof(f212,plain,( 25.61/25.38 ! [X6,X4,X1,X0] : (? [X7] : s(X1,X6) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) => s(X1,X6) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,sK17(X0,X1,X4,X6)))))), 25.61/25.38 introduced(choice_axiom,[])). 25.61/25.38 fof(f213,plain,( 25.61/25.38 ! [X5,X4,X1,X0] : (? [X8] : (! [X9] : s(X1,X8) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X9))) & p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X8))))) => (! [X9] : s(X1,sK18(X0,X1,X4,X5)) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X9))) & p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,sK18(X0,X1,X4,X5)))))))), 25.61/25.38 introduced(choice_axiom,[])). 25.61/25.38 fof(f214,plain,( 25.61/25.38 ! [X12,X10,X1,X0] : (? [X13] : s(X1,X12) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,X13))) => s(X1,X12) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,sK19(X0,X1,X10,X12)))))), 25.61/25.38 introduced(choice_axiom,[])). 25.61/25.38 fof(f215,plain,( 25.61/25.38 ! [X11,X10,X1,X0] : (? [X14] : (! [X15] : s(X1,X14) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,X15))) & ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11),s(X1,X14))))) => (! [X15] : s(X1,sK20(X0,X1,X10,X11)) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,X15))) & ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11),s(X1,sK20(X0,X1,X10,X11)))))))), 25.61/25.38 introduced(choice_axiom,[])). 25.61/25.38 fof(f216,plain,( 25.61/25.38 ! [X17,X16,X1,X0] : (? [X19] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X19)))))) => p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,sK21(X0,X1,X16,X17))))))))), 25.61/25.38 introduced(choice_axiom,[])). 25.61/25.38 fof(f217,plain,( 25.61/25.38 ! [X21,X20,X1,X0] : (? [X23] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X23)))))) => ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,sK22(X0,X1,X20,X21))))))))), 25.61/25.38 introduced(choice_axiom,[])). 25.61/25.38 fof(f218,plain,( 25.61/25.38 ! [X3,X2,X1,X0] : (? [X25] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X25)))))) => ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK23(X0,X1,X2,X3))))))))), 25.61/25.38 introduced(choice_axiom,[])). 25.61/25.38 fof(f219,plain,( 25.61/25.38 ! [X3,X2,X1,X0] : (? [X26] : (! [X27] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X27)))))) & ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X26))))) => (! [X27] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X27)))))) & ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,sK24(X0,X1,X2,X3)))))))), 25.61/25.38 introduced(choice_axiom,[])). 25.61/25.38 fof(f220,plain,( 25.61/25.38 ! [X3,X2,X1,X0] : (? [X28] : (! [X29] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X29)))))) & p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X28))))) => (! [X29] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X29)))))) & p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,sK25(X0,X1,X2,X3)))))))), 25.61/25.38 introduced(choice_axiom,[])). 25.61/25.38 fof(f221,plain,( 25.61/25.38 ! [X3,X2,X1,X0] : (? [X31] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X31)))))) => p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK26(X0,X1,X2,X3))))))))), 25.61/25.38 introduced(choice_axiom,[])). 25.61/25.38 fof(f211,plain,( 25.61/25.38 ! [X0,X1,X2,X3] : (! [X4,X5] : ((! [X6] : (? [X7] : s(X1,X6) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5)))) | ? [X8] : (! [X9] : s(X1,X8) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X9))) & p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X8))))))) & ! [X10,X11] : ((! [X12] : (? [X13] : s(X1,X12) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,X13))) | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11),s(X1,X12))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11)))) | ? [X14] : (! [X15] : s(X1,X14) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,X15))) & ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11),s(X1,X14))))))) & ! [X16,X17] : ((! [X18] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X18)))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17)))) | ? [X19] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X19)))))))) & ! [X20,X21] : ((! [X22] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X22)))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21)))) | ? [X23] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X23)))))))) & (! [X24] : (? [X25] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X25)))))) | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X24))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) | ? [X26] : (! [X27] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X27)))))) & ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X26)))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) | ? [X28] : (! [X29] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X29)))))) & p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X28)))))) & (! [X30] : (? [X31] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X31)))))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X30))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))))), 25.61/25.38 inference(rectify,[],[f210])). 25.61/25.38 fof(f210,plain,( 25.61/25.38 ! [X0,X1,X2,X3] : (! [X4,X5] : ((! [X6] : (? [X7] : s(X1,X6) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5)))) | ? [X6] : (! [X7] : s(X1,X6) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) & p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))))) & ! [X8,X9] : ((! [X10] : (? [X11] : s(X1,X10) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X11))) | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,X10))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9)))) | ? [X10] : (! [X11] : s(X1,X10) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X11))) & ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,X10))))))) & ! [X12,X13] : ((! [X14] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X14)))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13)))) | ? [X14] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X14)))))))) & ! [X15,X16] : ((! [X17] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(X0,X17)))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16)))) | ? [X17] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(X0,X17)))))))) & (! [X18] : (? [X19] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X19)))))) | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X18))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) | ? [X18] : (! [X19] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X19)))))) & ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X18)))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) | ? [X20] : (! [X21] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X21)))))) & p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X20)))))) & (! [X20] : (? [X21] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X21)))))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X20))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))))), 25.61/25.38 inference(flattening,[],[f209])). 25.61/25.38 fof(f209,plain,( 25.61/25.38 ! [X0,X1,X2,X3] : (! [X4,X5] : ((! [X6] : (? [X7] : s(X1,X6) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5)))) | ? [X6] : (! [X7] : s(X1,X6) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) & p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))))) & ! [X8,X9] : ((! [X10] : (? [X11] : s(X1,X10) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X11))) | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,X10))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9)))) | ? [X10] : (! [X11] : s(X1,X10) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X11))) & ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,X10))))))) & ! [X12,X13] : ((! [X14] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X14)))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13)))) | ? [X14] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X14)))))))) & ! [X15,X16] : ((! [X17] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(X0,X17)))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16)))) | ? [X17] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(X0,X17)))))))) & ((! [X18] : (? [X19] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X19)))))) | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X18))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) | ? [X18] : (! [X19] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X19)))))) & ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X18))))))) & ((p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) | ? [X20] : (! [X21] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X21)))))) & p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X20)))))) & (! [X20] : (? [X21] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X21)))))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X20))))) | ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))))), 25.61/25.38 inference(nnf_transformation,[],[f115])). 25.61/25.38 fof(f115,plain,( 25.61/25.38 ! [X0,X1,X2,X3] : (! [X4,X5] : (! [X6] : (? [X7] : s(X1,X6) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))))) & ! [X8,X9] : (! [X10] : (? [X11] : s(X1,X10) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X11))) | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,X10))))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9))))) & ! [X12,X13] : (! [X14] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X14)))))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))))) & ! [X15,X16] : (! [X17] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(X0,X17)))))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16))))) & (! [X18] : (? [X19] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X19)))))) | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X18))))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) <=> ! [X20] : (? [X21] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X21)))))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X20)))))))), 25.61/25.38 inference(ennf_transformation,[],[f90])). 25.61/25.38 fof(f90,plain,( 25.61/25.38 ! [X0,X1,X2,X3] : (! [X4,X5] : (! [X6] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6)))) => ? [X7] : s(X1,X6) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7)))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))))) & ! [X8,X9] : (! [X10] : (~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,X10)))) => ? [X11] : s(X1,X10) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X11)))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9))))) & ! [X12,X13] : (! [X14] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X14)))))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))))) & ! [X15,X16] : (! [X17] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(X0,X17)))))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16))))) & (! [X18] : (~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X18)))) => ? [X19] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X19))))))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) <=> ! [X20] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X20)))) => ? [X21] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X21)))))))))), 25.61/25.38 inference(rectify,[],[f12])). 25.61/25.38 fof(f12,axiom,( 25.61/25.38 ! [X3,X4,X14,X15] : (! [X30,X31] : (! [X32] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X31),s(X4,X32)))) => ? [X33] : s(X4,X32) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X30),s(X3,X33)))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X3,X4),X30),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X31))))) & ! [X26,X27] : (! [X28] : (~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X27),s(X4,X28)))) => ? [X29] : s(X4,X28) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X26),s(X3,X29)))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X3,X4),X26),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X27))))) & ! [X23,X24] : (! [X25] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X24),s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X23),s(X3,X25)))))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X3,X4),X23),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X24))))) & ! [X20,X21] : (! [X22] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X21),s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X20),s(X3,X22)))))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X3,X4),X20),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X21))))) & (! [X18] : (~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X15),s(X4,X18)))) => ? [X19] : ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X15),s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X14),s(X3,X19))))))) <=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X3,X4),X14),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X15))))) & (p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X3,X4),X14),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X15)))) <=> ! [X16] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X15),s(X4,X16)))) => ? [X17] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X15),s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X14),s(X3,X17)))))))))), 25.61/25.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__REWRITES)). 25.61/25.38 fof(f529,plain,( 25.61/25.38 ( ! [X2,X1] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK13),s(sK10,app_2E2(s(tyop_2Emin_2Efun(X1,sK10),X2),s(X1,sK21(X1,sK10,X2,sK14))))))) | p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,sK10),X2),s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK14))))) )), 25.61/25.38 inference(resolution,[],[f227,f413])). 25.61/25.38 fof(f413,plain,( 25.61/25.38 ( ! [X0,X17,X1,X16] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,sK21(X0,X1,X16,X17))))))) | p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17))))) )), 25.61/25.38 inference(cnf_transformation,[],[f222])). 25.61/25.38 fof(f227,plain,( 25.61/25.38 ( ! [X5] : (~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK14),s(sK10,X5)))) | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK10,tyop_2Emin_2Ebool),sK13),s(sK10,X5))))) )), 25.61/25.38 inference(cnf_transformation,[],[f135])). 25.61/25.38 % SZS output end Proof for theBenchmark 25.61/25.38 % ------------------------------ 25.61/25.38 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 25.61/25.38 % Termination reason: Refutation 25.61/25.38 25.61/25.38 % Memory used [KB]: 10874 25.61/25.38 % Time elapsed: 0.023 s 25.61/25.38 % ------------------------------ 25.61/25.38 % ------------------------------ 25.61/25.38 % Success in time 25.031 s 25.61/25.39 EOF