0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : iproveropt_run.sh %d %s 0.12/0.33 % Computer : n005.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Thu Jul 2 08:01:21 EDT 2020 0.12/0.33 % CPUTime : 0.12/0.33 % Running in FOF mode 3.65/0.98 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.65/0.98 3.65/0.98 %---------------- iProver v3.3 (CASC-J10 2020) ----------------% 3.65/0.98 3.65/0.98 ------ iProver source info 3.65/0.98 3.65/0.98 git: date: 2020-06-30 10:37:57 +0100 3.65/0.98 git: sha1: e3013b43002810b07ddde22341e87fe21d0d6388 3.65/0.98 git: non_committed_changes: false 3.65/0.98 git: last_make_outside_of_git: false 3.65/0.98 3.65/0.98 ------ 3.65/0.98 ------ Parsing... 3.65/0.98 ------ Clausification by vclausify_rel & Parsing by iProver... 3.65/0.98 3.65/0.98 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sf_s rm: 1 0s sf_e pe_s pe_e 3.65/0.98 3.65/0.98 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e 3.65/0.98 3.65/0.98 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e 3.65/0.98 ------ Proving... 3.65/0.98 ------ Problem Properties 3.65/0.98 3.65/0.98 3.65/0.98 clauses 76 3.65/0.98 conjectures 8 3.65/0.98 EPR 2 3.65/0.98 Horn 61 3.65/0.98 unary 15 3.65/0.98 binary 44 3.65/0.98 lits 156 3.65/0.98 lits eq 30 3.65/0.98 fd_pure 0 3.65/0.98 fd_pseudo 0 3.65/0.98 fd_cond 0 3.65/0.98 fd_pseudo_cond 0 3.65/0.98 AC symbols 0 3.65/0.98 3.65/0.98 ------ Input Options Time Limit: Unbounded 3.65/0.98 3.65/0.98 3.65/0.98 3.65/0.98 3.65/0.98 ------ Preprocessing... 3.65/0.98 3.65/0.98 ------ Preprocessing... sf_s rm: 0 0s sf_e ------ 3.65/0.98 Current options: 3.65/0.98 ------ 3.65/0.98 3.65/0.98 3.65/0.98 3.65/0.98 3.65/0.98 ------ Proving... 3.65/0.98 3.65/0.98 3.65/0.98 ------ Preprocessing... 3.65/0.98 3.65/0.98 ------ Preprocessing... sf_s rm: 0 0s sf_e 3.65/0.98 3.65/0.98 ------ Proving... 3.65/0.98 3.65/0.98 3.65/0.98 ------ Preprocessing... 3.65/0.98 3.65/0.98 ------ Preprocessing... sf_s rm: 0 0s sf_e 3.65/0.98 3.65/0.98 ------ Proving... 3.65/0.98 3.65/0.98 3.65/0.98 ------ Preprocessing... 3.65/0.98 3.65/0.98 ------ Preprocessing... sf_s rm: 2 0s sf_e sf_s rm: 0 0s sf_e 3.65/0.98 3.65/0.98 ------ Proving... 3.65/0.98 3.65/0.98 3.65/0.98 ------ Preprocessing... 3.65/0.98 3.65/0.98 ------ Preprocessing... sf_s rm: 2 0s sf_e sf_s rm: 0 0s sf_e 3.65/0.98 3.65/0.98 ------ Proving... 3.65/0.98 3.65/0.98 3.65/0.98 ------ Preprocessing... sf_s rm: 2 0s sf_e sf_s rm: 0 0s sf_e 3.65/0.98 3.65/0.98 ------ Proving... 3.65/0.98 3.65/0.98 3.65/0.98 ------ Preprocessing... sf_s rm: 0 0s sf_e 3.65/0.98 3.65/0.98 ------ Proving... 3.65/0.98 3.65/0.98 3.65/0.98 ------ Preprocessing... sf_s rm: 2 0s sf_e sf_s rm: 0 0s sf_e 3.65/0.98 3.65/0.98 ------ Proving... 3.65/0.98 3.65/0.98 3.65/0.98 ------ Preprocessing... sf_s rm: 0 0s sf_e 3.65/0.98 3.65/0.98 ------ Proving... 3.65/0.98 3.65/0.98 3.65/0.98 % SZS status Theorem for theBenchmark.p 3.65/0.98 3.65/0.98 % SZS output start CNFRefutation for theBenchmark.p 3.65/0.98 3.65/0.98 fof(f29,conjecture,( 3.65/0.98 ! [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))))))), 3.65/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 3.65/0.98 3.65/0.98 fof(f30,negated_conjecture,( 3.65/0.98 ~! [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))))))), 3.65/0.98 inference(negated_conjecture,[],[f29])). 3.65/0.98 3.65/0.98 fof(f73,plain,( 3.65/0.98 ~! [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))))))), 3.65/0.98 inference(rectify,[],[f30])). 3.65/0.98 3.65/0.98 fof(f107,plain,( 3.65/0.98 ? [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))))))), 3.65/0.98 inference(ennf_transformation,[],[f73])). 3.65/0.98 3.65/0.98 fof(f108,plain,( 3.65/0.98 ? [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))))))), 3.65/0.98 inference(flattening,[],[f107])). 3.65/0.98 3.65/0.98 fof(f196,plain,( 3.65/0.98 ? [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(sK22,sK21),sK23),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25)))) & p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK22,sK21),sK23),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24)))) & ! [X5] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24),s(sK21,X5)))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25),s(sK21,X5))))))), 3.65/0.98 introduced(choice_axiom,[])). 3.65/0.98 3.65/0.98 fof(f197,plain,( 3.65/0.98 ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK22,sK21),sK23),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25)))) & p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK22,sK21),sK23),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24)))) & ! [X5] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24),s(sK21,X5)))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25),s(sK21,X5)))))), 3.65/0.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24,sK25])],[f108,f196])). 3.65/0.98 3.65/0.98 fof(f353,plain,( 3.65/0.98 p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK22,sK21),sK23),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24))))), 3.65/0.98 inference(cnf_transformation,[],[f197])). 3.65/0.98 3.65/0.98 fof(f12,axiom,( 3.65/0.98 ! [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)))))))))), 3.65/0.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 3.65/0.98 3.65/0.98 fof(f59,plain,( 3.65/0.98 ! [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)))))))))), 3.65/0.98 inference(rectify,[],[f12])). 3.65/0.98 3.65/0.98 fof(f98,plain,( 3.65/0.98 ! [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)))))))), 3.65/0.98 inference(ennf_transformation,[],[f59])). 3.65/0.98 3.65/0.98 fof(f157,plain,( 3.65/0.98 ! [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)))))))), 3.65/0.98 inference(nnf_transformation,[],[f98])). 3.65/0.98 3.65/0.98 fof(f158,plain,( 3.65/0.98 ! [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))))))), 3.65/0.98 inference(flattening,[],[f157])). 3.65/0.98 3.65/0.98 fof(f159,plain,( 3.65/0.98 ! [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))))))), 3.65/0.98 inference(rectify,[],[f158])). 3.65/0.98 3.65/0.98 fof(f169,plain,( 3.65/0.98 ! [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,sK19(X0,X1,X2,X3))))))))), 3.65/0.98 introduced(choice_axiom,[])). 3.65/0.98 3.65/0.98 fof(f168,plain,( 3.65/0.98 ! [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,sK18(X0,X1,X2,X3)))))))), 3.65/0.98 introduced(choice_axiom,[])). 3.65/0.98 3.65/0.98 fof(f167,plain,( 3.65/0.98 ! [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,sK17(X0,X1,X2,X3)))))))), 3.65/0.98 introduced(choice_axiom,[])). 3.65/0.98 3.65/0.98 fof(f166,plain,( 3.65/0.98 ! [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,sK16(X0,X1,X2,X3))))))))), 3.65/0.98 introduced(choice_axiom,[])). 3.65/0.98 3.65/0.98 fof(f165,plain,( 3.65/0.98 ! [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,sK15(X0,X1,X20,X21))))))))), 3.65/0.98 introduced(choice_axiom,[])). 3.65/0.98 3.65/0.98 fof(f164,plain,( 3.65/0.98 ! [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,sK14(X0,X1,X16,X17))))))))), 3.65/0.98 introduced(choice_axiom,[])). 3.65/0.98 3.65/0.98 fof(f163,plain,( 3.65/0.98 ! [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,sK13(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,sK13(X0,X1,X10,X11)))))))), 3.65/0.98 introduced(choice_axiom,[])). 3.65/0.98 3.65/0.98 fof(f162,plain,( 3.65/0.98 ! [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,sK12(X0,X1,X10,X12)))))), 3.65/0.98 introduced(choice_axiom,[])). 3.65/0.98 3.65/0.98 fof(f161,plain,( 3.65/0.98 ! [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,sK11(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,sK11(X0,X1,X4,X5)))))))), 3.65/0.98 introduced(choice_axiom,[])). 3.65/0.98 3.65/0.98 fof(f160,plain,( 3.65/0.98 ! [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,sK10(X0,X1,X4,X6)))))), 3.65/0.98 introduced(choice_axiom,[])). 3.65/0.98 3.65/0.98 fof(f170,plain,( 3.65/0.98 ! [X0,X1,X2,X3] : (! [X4,X5] : ((! [X6] : (s(X1,X6) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,sK10(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,sK11(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,sK11(X0,X1,X4,X5)))))))) & ! [X10,X11] : ((! [X12] : (s(X1,X12) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,sK12(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,sK13(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,sK13(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,sK14(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,sK15(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,sK16(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,sK17(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,sK18(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,sK19(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))))))), 3.65/0.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19])],[f159,f169,f168,f167,f166,f165,f164,f163,f162,f161,f160])). 3.65/0.98 3.65/0.98 fof(f290,plain,( 3.65/0.98 ( ! [X0,X17,X1,X16] : (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,sK14(X0,X1,X16,X17)))))))) )), 3.65/0.98 inference(cnf_transformation,[],[f170])). 3.65/0.98 3.65/0.98 fof(f352,plain,( 3.65/0.98 ( ! [X5] : (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24),s(sK21,X5)))) | ~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25),s(sK21,X5))))) )), 3.65/0.98 inference(cnf_transformation,[],[f197])). 3.65/0.98 3.65/0.98 fof(f291,plain,( 3.65/0.98 ( ! [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))))) )), 3.65/0.98 inference(cnf_transformation,[],[f170])). 3.65/0.98 3.65/0.98 fof(f354,plain,( 3.65/0.98 ~p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK22,sK21),sK23),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25))))), 3.65/0.98 inference(cnf_transformation,[],[f197])). 3.65/0.98 3.65/0.98 cnf(c_126,negated_conjecture, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK22,sK21),sK23),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24)))) ), 3.65/0.98 inference(cnf_transformation,[],[f353]) ). 3.65/0.98 3.65/0.98 cnf(c_2872,negated_conjecture, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK22,sK21),sK23),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24)))) ), 3.65/0.98 inference(subtyping,[status(esa)],[c_126]) ). 3.65/0.98 3.65/0.98 cnf(c_8898,plain, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK22,sK21),sK23),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24)))) = iProver_top ), 3.65/0.98 inference(predicate_to_equality,[status(thm)],[c_2872]) ). 3.65/0.98 3.65/0.98 cnf(c_62,plain, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) 3.65/0.98 | 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,sK14(X0,X1,X2,X3))))))) ), 3.65/0.98 inference(cnf_transformation,[],[f290]) ). 3.65/0.98 3.65/0.98 cnf(c_2904,plain, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0_93,X1_93),X0_94),s(tyop_2Emin_2Efun(X1_93,tyop_2Emin_2Ebool),X1_94)))) 3.65/0.98 | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1_93,tyop_2Emin_2Ebool),X1_94),s(X1_93,app_2E2(s(tyop_2Emin_2Efun(X0_93,X1_93),X0_94),s(X0_93,sK14(X0_93,X1_93,X0_94,X1_94))))))) ), 3.65/0.98 inference(subtyping,[status(esa)],[c_62]) ). 3.65/0.98 3.65/0.98 cnf(c_8896,plain, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0_93,X1_93),X0_94),s(tyop_2Emin_2Efun(X1_93,tyop_2Emin_2Ebool),X1_94)))) = iProver_top 3.65/0.98 | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1_93,tyop_2Emin_2Ebool),X1_94),s(X1_93,app_2E2(s(tyop_2Emin_2Efun(X0_93,X1_93),X0_94),s(X0_93,sK14(X0_93,X1_93,X0_94,X1_94))))))) = iProver_top ), 3.65/0.98 inference(predicate_to_equality,[status(thm)],[c_2904]) ). 3.65/0.98 3.65/0.98 cnf(c_127,negated_conjecture, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24),s(sK21,X0)))) 3.65/0.98 | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25),s(sK21,X0)))) ), 3.65/0.98 inference(cnf_transformation,[],[f352]) ). 3.65/0.98 3.65/0.98 cnf(c_2871,negated_conjecture, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24),s(sK21,X0_94)))) 3.65/0.98 | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25),s(sK21,X0_94)))) ), 3.65/0.98 inference(subtyping,[status(esa)],[c_127]) ). 3.65/0.98 3.65/0.98 cnf(c_8897,plain, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24),s(sK21,X0_94)))) = iProver_top 3.65/0.98 | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25),s(sK21,X0_94)))) != iProver_top ), 3.65/0.98 inference(predicate_to_equality,[status(thm)],[c_2871]) ). 3.65/0.98 3.65/0.98 cnf(c_8949,plain, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0_93,sK21),X0_94),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25)))) = iProver_top 3.65/0.98 | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24),s(sK21,app_2E2(s(tyop_2Emin_2Efun(X0_93,sK21),X0_94),s(X0_93,sK14(X0_93,sK21,X0_94,sK25))))))) = iProver_top ), 3.65/0.98 inference(superposition,[status(thm)],[c_8896,c_8897]) ). 3.65/0.98 3.65/0.98 cnf(c_61,negated_conjecture, 3.65/0.98 ( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) 3.65/0.98 | ~ 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,X4)))))) ), 3.65/0.98 inference(cnf_transformation,[],[f291]) ). 3.65/0.98 3.65/0.98 cnf(c_2905,negated_conjecture, 3.65/0.98 ( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0_93,X1_93),X0_94),s(tyop_2Emin_2Efun(X1_93,tyop_2Emin_2Ebool),X1_94)))) 3.65/0.98 | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1_93,tyop_2Emin_2Ebool),X1_94),s(X1_93,app_2E2(s(tyop_2Emin_2Efun(X0_93,X1_93),X0_94),s(X0_93,X2_94)))))) ), 3.65/0.98 inference(subtyping,[status(esa)],[c_61]) ). 3.65/0.98 3.65/0.98 cnf(c_8895,plain, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0_93,X1_93),X0_94),s(tyop_2Emin_2Efun(X1_93,tyop_2Emin_2Ebool),X1_94)))) != iProver_top 3.65/0.98 | p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1_93,tyop_2Emin_2Ebool),X1_94),s(X1_93,app_2E2(s(tyop_2Emin_2Efun(X0_93,X1_93),X0_94),s(X0_93,X2_94)))))) != iProver_top ), 3.65/0.98 inference(predicate_to_equality,[status(thm)],[c_2905]) ). 3.65/0.98 3.65/0.98 cnf(c_8961,plain, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0_93,sK21),X0_94),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK24)))) != iProver_top 3.65/0.98 | p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0_93,sK21),X0_94),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25)))) = iProver_top ), 3.65/0.98 inference(superposition,[status(thm)],[c_8949,c_8895]) ). 3.65/0.98 3.65/0.98 cnf(c_8970,plain, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK22,sK21),sK23),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25)))) = iProver_top ), 3.65/0.98 inference(superposition,[status(thm)],[c_8898,c_8961]) ). 3.65/0.98 3.65/0.98 cnf(c_125,negated_conjecture, 3.65/0.98 ( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK22,sK21),sK23),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25)))) ), 3.65/0.98 inference(cnf_transformation,[],[f354]) ). 3.65/0.98 3.65/0.98 cnf(c_224,plain, 3.65/0.98 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK22,sK21),sK23),s(tyop_2Emin_2Efun(sK21,tyop_2Emin_2Ebool),sK25)))) != iProver_top ), 3.65/0.98 inference(predicate_to_equality,[status(thm)],[c_125]) ). 3.65/0.98 3.65/0.98 cnf(contradiction,plain, 3.65/0.98 ( $false ), 3.65/0.98 inference(minisat,[status(thm)],[c_8970,c_224]) ). 3.65/0.98 3.65/0.98 3.65/0.98 % SZS output end CNFRefutation for theBenchmark.p 3.65/0.98 3.65/0.98 ------ Statistics 3.65/0.98 3.65/0.98 ------ Selected 3.65/0.98 3.65/0.98 total_time: 0.26 3.65/0.98 3.65/0.99 EOF