0.02/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : iproveropt_run.sh %d %s 0.10/0.32 % Computer : n022.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Thu Jul 2 08:59:47 EDT 2020 0.10/0.32 % CPUTime : 0.10/0.32 % Running in FOF mode 74.92/9.97 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 74.92/9.97 74.92/9.97 %---------------- iProver v3.3 (CASC-J10 2020) ----------------% 74.92/9.97 74.92/9.97 ------ iProver source info 74.92/9.97 74.92/9.97 git: date: 2020-06-30 10:37:57 +0100 74.92/9.97 git: sha1: e3013b43002810b07ddde22341e87fe21d0d6388 74.92/9.97 git: non_committed_changes: false 74.92/9.97 git: last_make_outside_of_git: false 74.92/9.97 74.92/9.97 ------ 74.92/9.97 ------ Parsing... 74.92/9.97 ------ Clausification by vclausify_rel & Parsing by iProver... 74.92/9.97 74.92/9.97 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sf_s rm: 8 0s sf_e pe_s pe_e sf_s rm: 8 0s sf_e pe_s pe_e 74.92/9.97 74.92/9.97 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 74.92/9.97 74.92/9.97 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 74.92/9.97 ------ Proving... 74.92/9.97 ------ Problem Properties 74.92/9.97 74.92/9.97 74.92/9.97 clauses 706 74.92/9.97 conjectures 0 74.92/9.97 EPR 74 74.92/9.97 Horn 513 74.92/9.97 unary 147 74.92/9.97 binary 261 74.92/9.97 lits 1770 74.92/9.97 lits eq 340 74.92/9.97 fd_pure 0 74.92/9.97 fd_pseudo 0 74.92/9.97 fd_cond 0 74.92/9.97 fd_pseudo_cond 79 74.92/9.97 AC symbols 0 74.92/9.97 74.92/9.97 ------ Input Options Time Limit: Unbounded 74.92/9.97 74.92/9.97 74.92/9.97 ------ 74.92/9.97 Current options: 74.92/9.97 ------ 74.92/9.97 74.92/9.97 74.92/9.97 74.92/9.97 74.92/9.97 ------ Proving... 74.92/9.97 74.92/9.97 74.92/9.97 % SZS status Theorem for theBenchmark.p 74.92/9.97 74.92/9.97 % SZS output start CNFRefutation for theBenchmark.p 74.92/9.97 74.92/9.97 fof(f1526,plain,( 74.92/9.97 ! [X2,X3] : ((? [X6] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L) & v_x != X6 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X6),v_L)) & v_x = X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)) | ~sP3(X2,X3))), 74.92/9.97 introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])])). 74.92/9.97 74.92/9.97 fof(f1654,plain,( 74.92/9.97 ! [X2,X3] : ((? [X6] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L) & v_x != X6 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X6),v_L)) & v_x = X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)) | ~sP3(X2,X3))), 74.92/9.97 inference(nnf_transformation,[],[f1526])). 74.92/9.97 74.92/9.97 fof(f1655,plain,( 74.92/9.97 ! [X0,X1] : ((? [X2] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L) & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X2),v_L)) & v_x = X1 & v_x != X0 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)) | ~sP3(X0,X1))), 74.92/9.97 inference(rectify,[],[f1654])). 74.92/9.97 74.92/9.97 fof(f1656,plain,( 74.92/9.97 ! [X0] : (? [X2] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L) & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X2),v_L)) => (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK46(X0)),v_L) & v_x != sK46(X0) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK46(X0)),v_L)))), 74.92/9.97 introduced(choice_axiom,[])). 74.92/9.97 74.92/9.97 fof(f1657,plain,( 74.92/9.97 ! [X0,X1] : (((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK46(X0)),v_L) & v_x != sK46(X0) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK46(X0)),v_L)) & v_x = X1 & v_x != X0 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)) | ~sP3(X0,X1))), 74.92/9.97 inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f1655,f1656])). 74.92/9.97 74.92/9.97 fof(f2162,plain,( 74.92/9.97 ( ! [X0,X1] : (v_x = X1 | ~sP3(X0,X1)) )), 74.92/9.97 inference(cnf_transformation,[],[f1657])). 74.92/9.97 74.92/9.97 fof(f183,conjecture,( 74.92/9.97 ! [X19,X21] : (X19 != X21 => ((v_x = X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,v_y),v_L) & v_x != X19) | (v_x = X19 & v_x != X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X21),v_L)) | (v_y = X19 & v_x = X21) | (v_x = X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X19),v_L) & v_x != X19) | (v_x != X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,v_y),v_L) & v_x = X19) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),v_L) & v_x != X21 & v_x != X19) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X21),v_L) & v_x != X19 & v_x != X21) | (v_y = X21 & v_x = X19))) & ! [X19,X21] : (((v_x != X21 & v_x != X19 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X21),v_L)) => ! [X22] : (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,v_y),v_L) & v_x = X22) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,v_y),v_L)) & ((v_x != X22 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X22),v_L)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X22),v_L)))) & ((v_x = X19 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X21),v_L) & v_x != X21) => ! [X22] : (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X22),v_L) & v_x != X22) => (v_y = X22 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X22),v_L))) & (v_x = X22 => ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,v_y),v_L)))) & ((v_x = X21 & v_x != X19 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,v_y),v_L)) => ! [X22] : ((v_x != X22 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X22),v_L)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X22),v_L))))), 74.92/9.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 74.92/9.97 74.92/9.97 fof(f184,negated_conjecture,( 74.92/9.97 ~(! [X19,X21] : (X19 != X21 => ((v_x = X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,v_y),v_L) & v_x != X19) | (v_x = X19 & v_x != X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X21),v_L)) | (v_y = X19 & v_x = X21) | (v_x = X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X19),v_L) & v_x != X19) | (v_x != X21 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,v_y),v_L) & v_x = X19) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),v_L) & v_x != X21 & v_x != X19) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X21),v_L) & v_x != X19 & v_x != X21) | (v_y = X21 & v_x = X19))) & ! [X19,X21] : (((v_x != X21 & v_x != X19 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X21),v_L)) => ! [X22] : (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,v_y),v_L) & v_x = X22) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,v_y),v_L)) & ((v_x != X22 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X22),v_L)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X22),v_L)))) & ((v_x = X19 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X21),v_L) & v_x != X21) => ! [X22] : (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X22),v_L) & v_x != X22) => (v_y = X22 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X22),v_L))) & (v_x = X22 => ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,v_y),v_L)))) & ((v_x = X21 & v_x != X19 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,v_y),v_L)) => ! [X22] : ((v_x != X22 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X22),v_L)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X22),v_L)))))), 74.92/9.97 inference(negated_conjecture,[],[f183])). 74.92/9.97 74.92/9.97 fof(f704,plain,( 74.92/9.97 ~(! [X0,X1] : (X0 != X1 => ((v_x = X1 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & v_x != X0) | (v_x = X0 & v_x != X1 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)) | (v_y = X0 & v_x = X1) | (v_x = X1 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) & v_x != X0) | (v_x != X1 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) & v_x = X0) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) & v_x != X1 & v_x != X0) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) & v_x != X0 & v_x != X1) | (v_y = X1 & v_x = X0))) & ! [X2,X3] : (((v_x != X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)) => ! [X4] : (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X4) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)) & ((v_x != X4 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L)))) & ((v_x = X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X3),v_L) & v_x != X3) => ! [X5] : (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) & v_x != X5) => (v_y = X5 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X5),v_L))) & (v_x = X5 => ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L)))) & ((v_x = X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)) => ! [X6] : ((v_x != X6 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X6),v_L)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L)))))), 74.92/9.97 inference(rectify,[],[f184])). 74.92/9.97 74.92/9.97 fof(f1196,plain,( 74.92/9.97 ? [X0,X1] : (((v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | v_x = X0) & (v_x != X0 | v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)) & (v_y != X0 | v_x != X1) & (v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) | v_x = X0) & (v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) | v_x != X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | v_x = X1 | v_x = X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | v_x = X0 | v_x = X1) & (v_y != X1 | v_x != X0)) & X0 != X1) | ? [X2,X3] : ((? [X4] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L) & (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X4)) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L) & (v_x != X4 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)))) & (v_x != X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L))) | (? [X5] : (((v_y != X5 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X5),v_L)) & (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) & v_x != X5)) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X5)) & (v_x = X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X3),v_L) & v_x != X3)) | (? [X6] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L) & (v_x != X6 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X6),v_L))) & (v_x = X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L))))), 74.92/9.97 inference(ennf_transformation,[],[f704])). 74.92/9.97 74.92/9.97 fof(f1197,plain,( 74.92/9.97 ? [X0,X1] : ((v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | v_x = X0) & (v_x != X0 | v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)) & (v_y != X0 | v_x != X1) & (v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) | v_x = X0) & (v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) | v_x != X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | v_x = X1 | v_x = X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | v_x = X0 | v_x = X1) & (v_y != X1 | v_x != X0) & X0 != X1) | ? [X2,X3] : ((? [X4] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X4) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L) & v_x != X4 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L))) & v_x != X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)) | (? [X5] : ((v_y != X5 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X5),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) & v_x != X5) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X5)) & v_x = X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X3),v_L) & v_x != X3) | (? [X6] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L) & v_x != X6 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X6),v_L)) & v_x = X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)))), 74.92/9.97 inference(flattening,[],[f1196])). 74.92/9.97 74.92/9.97 fof(f1528,plain,( 74.92/9.97 ? [X0,X1] : ((v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | v_x = X0) & (v_x != X0 | v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)) & (v_y != X0 | v_x != X1) & (v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) | v_x = X0) & (v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) | v_x != X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | v_x = X1 | v_x = X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | v_x = X0 | v_x = X1) & (v_y != X1 | v_x != X0) & X0 != X1) | ~sP5), 74.92/9.97 introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])). 74.92/9.97 74.92/9.97 fof(f1527,plain,( 74.92/9.97 ! [X2,X3] : ((? [X4] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X4) | sP2(X4,X2,X3)) & v_x != X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)) | ~sP4(X2,X3))), 74.92/9.97 introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])])). 74.92/9.97 74.92/9.97 fof(f1525,plain,( 74.92/9.97 ! [X4,X2,X3] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L) & v_x != X4 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)) | ~sP2(X4,X2,X3))), 74.92/9.97 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])). 74.92/9.97 74.92/9.97 fof(f1524,plain,( 74.92/9.97 ! [X3] : (? [X5] : ((v_y != X5 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X5),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) & v_x != X5) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X5)) | ~sP1(X3))), 74.92/9.97 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])). 74.92/9.97 74.92/9.97 fof(f1529,plain,( 74.92/9.97 sP5 | ? [X2,X3] : (sP4(X2,X3) | (sP1(X3) & v_x = X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X3),v_L) & v_x != X3) | sP3(X2,X3))), 74.92/9.97 inference(definition_folding,[],[f1197,f1528,f1527,f1526,f1525,f1524])). 74.92/9.97 74.92/9.97 fof(f1664,plain,( 74.92/9.97 sP5 | ? [X0,X1] : (sP4(X0,X1) | (sP1(X1) & v_x = X0 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L) & v_x != X1) | sP3(X0,X1))), 74.92/9.97 inference(rectify,[],[f1529])). 74.92/9.97 74.92/9.97 fof(f1665,plain,( 74.92/9.97 ? [X0,X1] : (sP4(X0,X1) | (sP1(X1) & v_x = X0 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L) & v_x != X1) | sP3(X0,X1)) => (sP4(sK48,sK49) | (sP1(sK49) & v_x = sK48 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) & v_x != sK49) | sP3(sK48,sK49))), 74.92/9.97 introduced(choice_axiom,[])). 74.92/9.97 74.92/9.97 fof(f1666,plain,( 74.92/9.97 sP5 | (sP4(sK48,sK49) | (sP1(sK49) & v_x = sK48 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) & v_x != sK49) | sP3(sK48,sK49))), 74.92/9.97 inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49])],[f1664,f1665])). 74.92/9.97 74.92/9.97 fof(f2178,plain,( 74.92/9.97 sP5 | sP4(sK48,sK49) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) | sP3(sK48,sK49)), 74.92/9.97 inference(cnf_transformation,[],[f1666])). 74.92/9.97 74.92/9.97 fof(f1660,plain,( 74.92/9.97 ! [X3] : (? [X5] : ((v_y != X5 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X5),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) & v_x != X5) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X5)) | ~sP1(X3))), 74.92/9.97 inference(nnf_transformation,[],[f1524])). 74.92/9.97 74.92/9.97 fof(f1661,plain,( 74.92/9.97 ! [X0] : (? [X1] : ((v_y != X1 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) & v_x != X1) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & v_x = X1)) | ~sP1(X0))), 74.92/9.97 inference(rectify,[],[f1660])). 74.92/9.97 74.92/9.97 fof(f1662,plain,( 74.92/9.97 ! [X0] : (? [X1] : ((v_y != X1 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) & v_x != X1) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & v_x = X1)) => ((v_y != sK47(X0) & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK47(X0)),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK47(X0)),v_L) & v_x != sK47(X0)) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & v_x = sK47(X0))))), 74.92/9.97 introduced(choice_axiom,[])). 74.92/9.97 74.92/9.97 fof(f1663,plain,( 74.92/9.97 ! [X0] : (((v_y != sK47(X0) & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK47(X0)),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK47(X0)),v_L) & v_x != sK47(X0)) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & v_x = sK47(X0))) | ~sP1(X0))), 74.92/9.97 inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f1661,f1662])). 74.92/9.97 74.92/9.97 fof(f2172,plain,( 74.92/9.97 ( ! [X0] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK47(X0)),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | ~sP1(X0)) )), 74.92/9.97 inference(cnf_transformation,[],[f1663])). 74.92/9.97 74.92/9.97 fof(f2180,plain,( 74.92/9.97 sP5 | sP4(sK48,sK49) | sP1(sK49) | sP3(sK48,sK49)), 74.92/9.97 inference(cnf_transformation,[],[f1666])). 74.92/9.97 74.92/9.97 fof(f141,axiom,( 74.92/9.97 ! [X1,X12,X4] : (c_member(X4,X12,X1) <=> hBOOL(hAPP(X1,X12)))), 74.92/9.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 74.92/9.97 74.92/9.97 fof(f665,plain,( 74.92/9.97 ! [X0,X1,X2] : (c_member(X2,X1,X0) <=> hBOOL(hAPP(X0,X1)))), 74.92/9.97 inference(rectify,[],[f141])). 74.92/9.97 74.92/9.97 fof(f1618,plain,( 74.92/9.97 ! [X0,X1,X2] : ((c_member(X2,X1,X0) | ~hBOOL(hAPP(X0,X1))) & (hBOOL(hAPP(X0,X1)) | ~c_member(X2,X1,X0)))), 74.92/9.97 inference(nnf_transformation,[],[f665])). 74.92/9.97 74.92/9.97 fof(f2075,plain,( 74.92/9.97 ( ! [X2,X0,X1] : (hBOOL(hAPP(X0,X1)) | ~c_member(X2,X1,X0)) )), 74.92/9.97 inference(cnf_transformation,[],[f1618])). 74.92/9.97 74.92/9.97 fof(f1647,plain,( 74.92/9.97 ? [X0,X1] : ((v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | v_x = X0) & (v_x != X0 | v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)) & (v_y != X0 | v_x != X1) & (v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) | v_x = X0) & (v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) | v_x != X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | v_x = X1 | v_x = X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | v_x = X0 | v_x = X1) & (v_y != X1 | v_x != X0) & X0 != X1) | ~sP5), 74.92/9.97 inference(nnf_transformation,[],[f1528])). 74.92/9.97 74.92/9.97 fof(f1648,plain,( 74.92/9.97 ? [X0,X1] : ((v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | v_x = X0) & (v_x != X0 | v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)) & (v_y != X0 | v_x != X1) & (v_x != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L) | v_x = X0) & (v_x = X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) | v_x != X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | v_x = X1 | v_x = X0) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | v_x = X0 | v_x = X1) & (v_y != X1 | v_x != X0) & X0 != X1) => ((v_x != sK44 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,v_y),v_L) | v_x = sK43) & (v_x != sK43 | v_x = sK44 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK44),v_L)) & (v_y != sK43 | v_x != sK44) & (v_x != sK44 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK43),v_L) | v_x = sK43) & (v_x = sK44 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,v_y),v_L) | v_x != sK43) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,sK43),v_L) | v_x = sK44 | v_x = sK43) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,sK44),v_L) | v_x = sK43 | v_x = sK44) & (v_y != sK44 | v_x != sK43) & sK43 != sK44)), 74.92/9.97 introduced(choice_axiom,[])). 74.92/9.97 74.92/9.97 fof(f1649,plain,( 74.92/9.97 ((v_x != sK44 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,v_y),v_L) | v_x = sK43) & (v_x != sK43 | v_x = sK44 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK44),v_L)) & (v_y != sK43 | v_x != sK44) & (v_x != sK44 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK43),v_L) | v_x = sK43) & (v_x = sK44 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,v_y),v_L) | v_x != sK43) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,sK43),v_L) | v_x = sK44 | v_x = sK43) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,sK44),v_L) | v_x = sK43 | v_x = sK44) & (v_y != sK44 | v_x != sK43) & sK43 != sK44) | ~sP5), 74.92/9.97 inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f1647,f1648])). 74.92/9.97 74.92/9.97 fof(f2152,plain,( 74.92/9.97 v_x != sK43 | v_x = sK44 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK44),v_L) | ~sP5), 74.92/9.97 inference(cnf_transformation,[],[f1649])). 74.92/9.97 74.92/9.97 fof(f2145,plain,( 74.92/9.97 sK43 != sK44 | ~sP5), 74.92/9.97 inference(cnf_transformation,[],[f1649])). 74.92/9.97 74.92/9.97 fof(f2147,plain,( 74.92/9.97 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,sK44),v_L) | v_x = sK43 | v_x = sK44 | ~sP5), 74.92/9.97 inference(cnf_transformation,[],[f1649])). 74.92/9.97 74.92/9.97 fof(f2146,plain,( 74.92/9.97 v_y != sK44 | v_x != sK43 | ~sP5), 74.92/9.97 inference(cnf_transformation,[],[f1649])). 74.92/9.97 74.92/9.97 fof(f2149,plain,( 74.92/9.97 v_x = sK44 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,v_y),v_L) | v_x != sK43 | ~sP5), 74.92/9.97 inference(cnf_transformation,[],[f1649])). 74.92/9.97 74.92/9.97 fof(f252,axiom,( 74.92/9.97 ! [X19,X21] : (X19 != X21 => (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X19),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X21),v_L))) & ! [X19] : ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X19),v_L) & ! [X19,X21] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X21),v_L) => ! [X22] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X22),v_L) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X19,X22),v_L)))), 74.92/9.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 74.92/9.97 74.92/9.97 fof(f770,plain,( 74.92/9.97 ! [X0,X1] : (X0 != X1 => (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L))) & ! [X2] : ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L) & ! [X3,X4] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) => ! [X5] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X5),v_L) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L)))), 74.92/9.97 inference(rectify,[],[f252])). 74.92/9.97 74.92/9.97 fof(f1263,plain,( 74.92/9.97 ! [X0,X1] : ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)) | X0 = X1) & ! [X2] : ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L) & ! [X3,X4] : (! [X5] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X5),v_L)) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L))), 74.92/9.97 inference(ennf_transformation,[],[f770])). 74.92/9.97 74.92/9.97 fof(f1264,plain,( 74.92/9.97 ! [X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | X0 = X1) & ! [X2] : ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L) & ! [X3,X4] : (! [X5] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X5),v_L)) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L))), 74.92/9.97 inference(flattening,[],[f1263])). 74.92/9.97 74.92/9.97 fof(f2281,plain,( 74.92/9.97 ( ! [X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | X0 = X1) )), 74.92/9.97 inference(cnf_transformation,[],[f1264])). 74.92/9.97 74.92/9.97 fof(f2148,plain,( 74.92/9.97 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,sK43),v_L) | v_x = sK44 | v_x = sK43 | ~sP5), 74.92/9.97 inference(cnf_transformation,[],[f1649])). 74.92/9.97 74.92/9.97 fof(f2150,plain,( 74.92/9.97 v_x != sK44 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK43),v_L) | v_x = sK43 | ~sP5), 74.92/9.97 inference(cnf_transformation,[],[f1649])). 74.92/9.97 74.92/9.97 fof(f2151,plain,( 74.92/9.97 v_y != sK43 | v_x != sK44 | ~sP5), 74.92/9.97 inference(cnf_transformation,[],[f1649])). 74.92/9.97 74.92/9.97 fof(f2153,plain,( 74.92/9.97 v_x != sK44 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,v_y),v_L) | v_x = sK43 | ~sP5), 74.92/9.97 inference(cnf_transformation,[],[f1649])). 74.92/9.97 74.92/9.97 fof(f2279,plain,( 74.92/9.97 ( ! [X4,X5,X3] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X5),v_L) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)) )), 74.92/9.97 inference(cnf_transformation,[],[f1264])). 74.92/9.97 74.92/9.97 fof(f1650,plain,( 74.92/9.97 ! [X2,X3] : ((? [X4] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) & v_x = X4) | sP2(X4,X2,X3)) & v_x != X3 & v_x != X2 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)) | ~sP4(X2,X3))), 74.92/9.97 inference(nnf_transformation,[],[f1527])). 74.92/9.97 74.92/9.97 fof(f1651,plain,( 74.92/9.97 ! [X0,X1] : ((? [X2] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) & v_x = X2) | sP2(X2,X0,X1)) & v_x != X1 & v_x != X0 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)) | ~sP4(X0,X1))), 74.92/9.97 inference(rectify,[],[f1650])). 74.92/9.97 74.92/9.97 fof(f1652,plain,( 74.92/9.97 ! [X1,X0] : (? [X2] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) & v_x = X2) | sP2(X2,X0,X1)) => ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) & v_x = sK45(X0,X1)) | sP2(sK45(X0,X1),X0,X1)))), 74.92/9.97 introduced(choice_axiom,[])). 74.92/9.97 74.92/9.97 fof(f1653,plain,( 74.92/9.97 ! [X0,X1] : ((((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) & v_x = sK45(X0,X1)) | sP2(sK45(X0,X1),X0,X1)) & v_x != X1 & v_x != X0 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)) | ~sP4(X0,X1))), 74.92/9.97 inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f1651,f1652])). 74.92/9.97 74.92/9.97 fof(f2154,plain,( 74.92/9.97 ( ! [X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) | ~sP4(X0,X1)) )), 74.92/9.97 inference(cnf_transformation,[],[f1653])). 74.92/9.97 74.92/9.97 fof(f2159,plain,( 74.92/9.97 ( ! [X0,X1] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | sP2(sK45(X0,X1),X0,X1) | ~sP4(X0,X1)) )), 74.92/9.97 inference(cnf_transformation,[],[f1653])). 74.92/9.97 74.92/9.97 fof(f1658,plain,( 74.92/9.97 ! [X4,X2,X3] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L) & v_x != X4 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)) | ~sP2(X4,X2,X3))), 74.92/9.97 inference(nnf_transformation,[],[f1525])). 74.92/9.97 74.92/9.97 fof(f1659,plain,( 74.92/9.97 ! [X0,X1,X2] : ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) & v_x != X0 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)) | ~sP2(X0,X1,X2))), 74.92/9.97 inference(rectify,[],[f1658])). 74.92/9.97 74.92/9.97 fof(f2168,plain,( 74.92/9.97 ( ! [X2,X0,X1] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) | ~sP2(X0,X1,X2)) )), 74.92/9.97 inference(cnf_transformation,[],[f1659])). 74.92/9.97 74.92/9.97 fof(f2166,plain,( 74.92/9.97 ( ! [X2,X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L) | ~sP2(X0,X1,X2)) )), 74.92/9.97 inference(cnf_transformation,[],[f1659])). 74.92/9.97 74.92/9.97 fof(f2160,plain,( 74.92/9.97 ( ! [X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | ~sP3(X0,X1)) )), 74.92/9.97 inference(cnf_transformation,[],[f1657])). 74.92/9.97 74.92/9.97 fof(f2174,plain,( 74.92/9.97 ( ! [X0] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK47(X0)),v_L) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) | ~sP1(X0)) )), 74.92/9.97 inference(cnf_transformation,[],[f1663])). 74.92/9.97 74.92/9.97 fof(f2177,plain,( 74.92/9.97 sP5 | sP4(sK48,sK49) | v_x != sK49 | sP3(sK48,sK49)), 74.92/9.97 inference(cnf_transformation,[],[f1666])). 74.92/9.97 74.92/9.97 fof(f2161,plain,( 74.92/9.97 ( ! [X0,X1] : (v_x != X0 | ~sP3(X0,X1)) )), 74.92/9.97 inference(cnf_transformation,[],[f1657])). 74.92/9.97 74.92/9.97 fof(f2850,plain,( 74.92/9.97 ( ! [X1] : (~sP3(v_x,X1)) )), 74.92/9.97 inference(equality_resolution,[],[f2161])). 74.92/9.97 74.92/9.97 fof(f2163,plain,( 74.92/9.97 ( ! [X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK46(X0)),v_L) | ~sP3(X0,X1)) )), 74.92/9.97 inference(cnf_transformation,[],[f1657])). 74.92/9.97 74.92/9.97 fof(f2179,plain,( 74.92/9.97 sP5 | sP4(sK48,sK49) | v_x = sK48 | sP3(sK48,sK49)), 74.92/9.97 inference(cnf_transformation,[],[f1666])). 74.92/9.97 74.92/9.97 fof(f2165,plain,( 74.92/9.97 ( ! [X0,X1] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK46(X0)),v_L) | ~sP3(X0,X1)) )), 74.92/9.97 inference(cnf_transformation,[],[f1657])). 74.92/9.97 74.92/9.97 fof(f428,axiom,( 74.92/9.97 ! [X1,X7,X4] : (c_member(X4,X7,X1) => c_Set_Oinsert(X4,X7,X1) = X1)), 74.92/9.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 74.92/9.97 74.92/9.97 fof(f937,plain,( 74.92/9.97 ! [X0,X1,X2] : (c_member(X2,X1,X0) => c_Set_Oinsert(X2,X1,X0) = X0)), 74.92/9.97 inference(rectify,[],[f428])). 74.92/9.97 74.92/9.97 fof(f1422,plain,( 74.92/9.97 ! [X0,X1,X2] : (c_Set_Oinsert(X2,X1,X0) = X0 | ~c_member(X2,X1,X0))), 74.92/9.97 inference(ennf_transformation,[],[f937])). 74.92/9.97 74.92/9.97 fof(f2542,plain,( 74.92/9.97 ( ! [X2,X0,X1] : (c_Set_Oinsert(X2,X1,X0) = X0 | ~c_member(X2,X1,X0)) )), 74.92/9.97 inference(cnf_transformation,[],[f1422])). 74.92/9.97 74.92/9.97 fof(f2158,plain,( 74.92/9.97 ( ! [X0,X1] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) | sP2(sK45(X0,X1),X0,X1) | ~sP4(X0,X1)) )), 74.92/9.97 inference(cnf_transformation,[],[f1653])). 74.92/9.97 74.92/9.97 fof(f293,axiom,( 74.92/9.97 ! [X1,X6,X7,X4] : ((c_member(X4,X7,X1) | X6 = X7) <=> c_member(X4,X7,c_Set_Oinsert(X4,X6,X1)))), 74.92/9.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 74.92/9.97 74.92/9.97 fof(f810,plain,( 74.92/9.97 ! [X0,X1,X2,X3] : ((c_member(X3,X2,X0) | X1 = X2) <=> c_member(X3,X2,c_Set_Oinsert(X3,X1,X0)))), 74.92/9.97 inference(rectify,[],[f293])). 74.92/9.97 74.92/9.97 fof(f1715,plain,( 74.92/9.97 ! [X0,X1,X2,X3] : (((c_member(X3,X2,X0) | X1 = X2) | ~c_member(X3,X2,c_Set_Oinsert(X3,X1,X0))) & (c_member(X3,X2,c_Set_Oinsert(X3,X1,X0)) | (~c_member(X3,X2,X0) & X1 != X2)))), 74.92/9.97 inference(nnf_transformation,[],[f810])). 74.92/9.97 74.92/9.97 fof(f1716,plain,( 74.92/9.97 ! [X0,X1,X2,X3] : ((c_member(X3,X2,X0) | X1 = X2 | ~c_member(X3,X2,c_Set_Oinsert(X3,X1,X0))) & (c_member(X3,X2,c_Set_Oinsert(X3,X1,X0)) | (~c_member(X3,X2,X0) & X1 != X2)))), 74.92/9.97 inference(flattening,[],[f1715])). 74.92/9.97 74.92/9.97 fof(f2329,plain,( 74.92/9.97 ( ! [X2,X0,X3,X1] : (c_member(X3,X2,c_Set_Oinsert(X3,X1,X0)) | X1 != X2) )), 74.92/9.97 inference(cnf_transformation,[],[f1716])). 74.92/9.97 74.92/9.97 fof(f2865,plain,( 74.92/9.97 ( ! [X2,X0,X3] : (c_member(X3,X2,c_Set_Oinsert(X3,X2,X0))) )), 74.92/9.97 inference(equality_resolution,[],[f2329])). 74.92/9.97 74.92/9.97 fof(f2280,plain,( 74.92/9.97 ( ! [X2] : (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L)) )), 74.92/9.97 inference(cnf_transformation,[],[f1264])). 74.92/9.97 74.92/9.97 fof(f1530,plain,( 74.92/9.97 ! [X4,X1,X2,X3,X0] : (sP6(X4,X1,X2,X3,X0) <=> (((X1 = X4 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),X2) | X0 != X3) & (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),X2) | X0 = X3)) | X1 = X3))), 74.92/9.97 introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])])). 74.92/9.97 74.92/9.97 fof(f1724,plain,( 74.92/9.97 ! [X4,X1,X2,X3,X0] : ((sP6(X4,X1,X2,X3,X0) | (((X1 != X4 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),X2) & X0 = X3) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),X2) & X0 != X3)) & X1 != X3)) & ((((X1 = X4 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),X2) | X0 != X3) & (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),X2) | X0 = X3)) | X1 = X3) | ~sP6(X4,X1,X2,X3,X0)))), 74.92/9.97 inference(nnf_transformation,[],[f1530])). 74.92/9.97 74.92/9.97 fof(f1725,plain,( 74.92/9.97 ! [X4,X1,X2,X3,X0] : ((sP6(X4,X1,X2,X3,X0) | (((X1 != X4 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),X2) & X0 = X3) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),X2) & X0 != X3)) & X1 != X3)) & (((X1 = X4 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),X2) | X0 != X3) & (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),X2) | X0 = X3)) | X1 = X3 | ~sP6(X4,X1,X2,X3,X0)))), 74.92/9.97 inference(flattening,[],[f1724])). 74.92/9.97 74.92/9.97 fof(f1726,plain,( 74.92/9.97 ! [X0,X1,X2,X3,X4] : ((sP6(X0,X1,X2,X3,X4) | (((X0 != X1 & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),X2) & X3 = X4) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),X2) & X3 != X4)) & X1 != X3)) & (((X0 = X1 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),X2) | X3 != X4) & (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),X2) | X3 = X4)) | X1 = X3 | ~sP6(X0,X1,X2,X3,X4)))), 74.92/9.97 inference(rectify,[],[f1725])). 74.92/9.97 74.92/9.97 fof(f2358,plain,( 74.92/9.97 ( ! [X4,X2,X0,X3,X1] : (sP6(X0,X1,X2,X3,X4) | X0 != X1 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),X2)) )), 74.92/9.97 inference(cnf_transformation,[],[f1726])). 74.92/9.97 74.92/9.97 fof(f2866,plain,( 74.92/9.97 ( ! [X4,X2,X3,X1] : (sP6(X1,X1,X2,X3,X4) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),X2)) )), 74.92/9.97 inference(equality_resolution,[],[f2358])). 74.92/9.97 74.92/9.97 cnf(c_304,plain, 74.92/9.97 ( ~ sP3(X0,X1) | v_x = X1 ), 74.92/9.97 inference(cnf_transformation,[],[f2162]) ). 74.92/9.97 74.92/9.97 cnf(c_320,negated_conjecture, 74.92/9.97 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) 74.92/9.97 | sP3(sK48,sK49) 74.92/9.97 | sP4(sK48,sK49) 74.92/9.97 | sP5 ), 74.92/9.97 inference(cnf_transformation,[],[f2178]) ). 74.92/9.97 74.92/9.97 cnf(c_11162,plain, 74.92/9.97 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) 74.92/9.97 | sP4(sK48,sK49) 74.92/9.97 | sP5 74.92/9.97 | sK49 != X0 74.92/9.97 | sK48 != X1 74.92/9.97 | v_x = X0 ), 74.92/9.97 inference(resolution_lifted,[status(thm)],[c_304,c_320]) ). 74.92/9.97 74.92/9.97 cnf(c_11163,plain, 74.92/9.97 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) 74.92/9.97 | sP4(sK48,sK49) 74.92/9.97 | sP5 74.92/9.97 | v_x = sK49 ), 74.92/9.97 inference(unflattening,[status(thm)],[c_11162]) ). 74.92/9.97 74.92/9.97 cnf(c_38476,plain, 74.92/9.97 ( v_x = sK49 74.92/9.97 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) = iProver_top 74.92/9.97 | sP4(sK48,sK49) = iProver_top 74.92/9.97 | sP5 = iProver_top ), 74.92/9.97 inference(predicate_to_equality,[status(thm)],[c_11163]) ). 74.92/9.97 74.92/9.97 cnf(c_314,plain, 74.92/9.97 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK47(X0)),v_L) 74.92/9.97 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) 74.92/9.97 | ~ sP1(X0) ), 74.92/9.97 inference(cnf_transformation,[],[f2172]) ). 74.92/9.97 74.92/9.97 cnf(c_318,negated_conjecture, 74.92/9.97 ( sP3(sK48,sK49) | sP4(sK48,sK49) | sP1(sK49) | sP5 ), 74.92/9.97 inference(cnf_transformation,[],[f2180]) ). 74.92/9.97 74.92/9.97 cnf(c_8938,plain, 74.92/9.97 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK47(X0)),v_L) 74.92/9.97 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) 74.92/9.97 | sP3(sK48,sK49) 74.92/9.97 | sP4(sK48,sK49) 74.92/9.97 | sP5 74.92/9.97 | sK49 != X0 ), 74.92/9.97 inference(resolution_lifted,[status(thm)],[c_314,c_318]) ). 74.92/9.97 74.92/9.97 cnf(c_8939,plain, 74.92/9.97 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)),v_L) 74.92/9.97 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) 74.92/9.97 | sP3(sK48,sK49) 74.92/9.97 | sP4(sK48,sK49) 74.92/9.97 | sP5 ), 74.92/9.97 inference(unflattening,[status(thm)],[c_8938]) ). 74.92/9.97 74.92/9.97 cnf(c_11089,plain, 74.92/9.97 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)),v_L) 74.92/9.97 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) 74.92/9.97 | sP4(sK48,sK49) 74.92/9.97 | sP5 74.92/9.97 | sK49 != X0 74.92/9.97 | sK48 != X1 74.92/9.97 | v_x = X0 ), 74.92/9.97 inference(resolution_lifted,[status(thm)],[c_304,c_8939]) ). 74.92/9.97 74.92/9.97 cnf(c_11090,plain, 74.92/9.97 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)),v_L) 74.92/9.97 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) 74.92/9.97 | sP4(sK48,sK49) 74.92/9.97 | sP5 74.92/9.97 | v_x = sK49 ), 74.92/9.97 inference(unflattening,[status(thm)],[c_11089]) ). 74.92/9.97 74.92/9.97 cnf(c_38480,plain, 74.92/9.97 ( v_x = sK49 74.92/9.97 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_11090]) ). 75.46/9.98 75.46/9.98 cnf(c_218,plain, 75.46/9.98 ( ~ c_member(X0,X1,X2) | hBOOL(hAPP(X2,X1)) ), 75.46/9.98 inference(cnf_transformation,[],[f2075]) ). 75.46/9.98 75.46/9.98 cnf(c_38909,plain, 75.46/9.98 ( c_member(X0,X1,X2) != iProver_top 75.46/9.98 | hBOOL(hAPP(X2,X1)) = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_218]) ). 75.46/9.98 75.46/9.98 cnf(c_64320,plain, 75.46/9.98 ( sK49 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)))) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_38480,c_38909]) ). 75.46/9.98 75.46/9.98 cnf(c_287,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK44),v_L) 75.46/9.98 | ~ sP5 75.46/9.98 | sK43 != v_x 75.46/9.98 | sK44 = v_x ), 75.46/9.98 inference(cnf_transformation,[],[f2152]) ). 75.46/9.98 75.46/9.98 cnf(c_38858,plain, 75.46/9.98 ( sK43 != v_x 75.46/9.98 | sK44 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK44),v_L) != iProver_top 75.46/9.98 | sP5 != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_287]) ). 75.46/9.98 75.46/9.98 cnf(c_294,plain, 75.46/9.98 ( ~ sP5 | sK43 != sK44 ), 75.46/9.98 inference(cnf_transformation,[],[f2145]) ). 75.46/9.98 75.46/9.98 cnf(c_1959,plain, 75.46/9.98 ( sK43 != sK44 | sP5 != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_294]) ). 75.46/9.98 75.46/9.98 cnf(c_292,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,sK44),v_L) 75.46/9.98 | ~ sP5 75.46/9.98 | sK43 = v_x 75.46/9.98 | sK44 = v_x ), 75.46/9.98 inference(cnf_transformation,[],[f2147]) ). 75.46/9.98 75.46/9.98 cnf(c_38853,plain, 75.46/9.98 ( sK43 = v_x 75.46/9.98 | sK44 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,sK44),v_L) != iProver_top 75.46/9.98 | sP5 != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_292]) ). 75.46/9.98 75.46/9.98 cnf(c_293,plain, 75.46/9.98 ( ~ sP5 | sK43 != v_x | sK44 != v_y ), 75.46/9.98 inference(cnf_transformation,[],[f2146]) ). 75.46/9.98 75.46/9.98 cnf(c_1960,plain, 75.46/9.98 ( sK43 != v_x | sK44 != v_y | sP5 != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_293]) ). 75.46/9.98 75.46/9.98 cnf(c_1961,plain, 75.46/9.98 ( sK43 = v_x 75.46/9.98 | sK44 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,sK44),v_L) != iProver_top 75.46/9.98 | sP5 != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_292]) ). 75.46/9.98 75.46/9.98 cnf(c_290,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,v_y),v_L) 75.46/9.98 | ~ sP5 75.46/9.98 | sK43 != v_x 75.46/9.98 | sK44 = v_x ), 75.46/9.98 inference(cnf_transformation,[],[f2149]) ). 75.46/9.98 75.46/9.98 cnf(c_1963,plain, 75.46/9.98 ( sK43 != v_x 75.46/9.98 | sK44 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,v_y),v_L) != iProver_top 75.46/9.98 | sP5 != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_290]) ). 75.46/9.98 75.46/9.98 cnf(c_1966,plain, 75.46/9.98 ( sK43 != v_x 75.46/9.98 | sK44 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK44),v_L) != iProver_top 75.46/9.98 | sP5 != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_287]) ). 75.46/9.98 75.46/9.98 cnf(c_419,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) 75.46/9.98 | X0 = X1 ), 75.46/9.98 inference(cnf_transformation,[],[f2281]) ). 75.46/9.98 75.46/9.98 cnf(c_41086,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,v_y),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK44),v_L) 75.46/9.98 | sK44 = v_y ), 75.46/9.98 inference(instantiation,[status(thm)],[c_419]) ). 75.46/9.98 75.46/9.98 cnf(c_41087,plain, 75.46/9.98 ( sK44 = v_y 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK44),v_L) = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_41086]) ). 75.46/9.98 75.46/9.98 cnf(c_87115,plain, 75.46/9.98 ( sK44 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,sK44),v_L) != iProver_top 75.46/9.98 | sP5 != iProver_top ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_38853,c_1960,c_1961,c_1963,c_1966,c_41087]) ). 75.46/9.98 75.46/9.98 cnf(c_291,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,sK43),v_L) 75.46/9.98 | ~ sP5 75.46/9.98 | sK43 = v_x 75.46/9.98 | sK44 = v_x ), 75.46/9.98 inference(cnf_transformation,[],[f2148]) ). 75.46/9.98 75.46/9.98 cnf(c_1962,plain, 75.46/9.98 ( sK43 = v_x 75.46/9.98 | sK44 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,sK43),v_L) != iProver_top 75.46/9.98 | sP5 != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_291]) ). 75.46/9.98 75.46/9.98 cnf(c_41089,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,sK44),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,sK43),v_L) 75.46/9.98 | sK43 = sK44 ), 75.46/9.98 inference(instantiation,[status(thm)],[c_419]) ). 75.46/9.98 75.46/9.98 cnf(c_41090,plain, 75.46/9.98 ( sK43 = sK44 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,sK44),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK44,sK43),v_L) = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_41089]) ). 75.46/9.98 75.46/9.98 cnf(c_87119,plain, 75.46/9.98 ( sK44 = v_x | sP5 != iProver_top ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_87115,c_1959,c_1960,c_1962,c_1963,c_1966,c_41087, 75.46/9.98 c_41090]) ). 75.46/9.98 75.46/9.98 cnf(c_289,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK43),v_L) 75.46/9.98 | ~ sP5 75.46/9.98 | sK43 = v_x 75.46/9.98 | sK44 != v_x ), 75.46/9.98 inference(cnf_transformation,[],[f2150]) ). 75.46/9.98 75.46/9.98 cnf(c_38856,plain, 75.46/9.98 ( sK43 = v_x 75.46/9.98 | sK44 != v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK43),v_L) != iProver_top 75.46/9.98 | sP5 != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_289]) ). 75.46/9.98 75.46/9.98 cnf(c_1964,plain, 75.46/9.98 ( sK43 = v_x 75.46/9.98 | sK44 != v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK43),v_L) != iProver_top 75.46/9.98 | sP5 != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_289]) ). 75.46/9.98 75.46/9.98 cnf(c_288,plain, 75.46/9.98 ( ~ sP5 | sK43 != v_y | sK44 != v_x ), 75.46/9.98 inference(cnf_transformation,[],[f2151]) ). 75.46/9.98 75.46/9.98 cnf(c_1965,plain, 75.46/9.98 ( sK43 != v_y | sK44 != v_x | sP5 != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_288]) ). 75.46/9.98 75.46/9.98 cnf(c_286,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,v_y),v_L) 75.46/9.98 | ~ sP5 75.46/9.98 | sK43 = v_x 75.46/9.98 | sK44 != v_x ), 75.46/9.98 inference(cnf_transformation,[],[f2153]) ). 75.46/9.98 75.46/9.98 cnf(c_1967,plain, 75.46/9.98 ( sK43 = v_x 75.46/9.98 | sK44 != v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,v_y),v_L) != iProver_top 75.46/9.98 | sP5 != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_286]) ). 75.46/9.98 75.46/9.98 cnf(c_61308,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,v_y),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK43),v_L) 75.46/9.98 | sK43 = v_y ), 75.46/9.98 inference(instantiation,[status(thm)],[c_419]) ). 75.46/9.98 75.46/9.98 cnf(c_61314,plain, 75.46/9.98 ( sK43 = v_y 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK43,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK43),v_L) = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_61308]) ). 75.46/9.98 75.46/9.98 cnf(c_88803,plain, 75.46/9.98 ( sK43 = v_x | sP5 != iProver_top ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_38856,c_1964,c_1965,c_1967,c_61314,c_87119]) ). 75.46/9.98 75.46/9.98 cnf(c_25899,plain,( X0 != X1 | X2 != X1 | X2 = X0 ),theory(equality) ). 75.46/9.98 75.46/9.98 cnf(c_41353,plain, 75.46/9.98 ( sK43 != X0 | sK43 = sK44 | sK44 != X0 ), 75.46/9.98 inference(instantiation,[status(thm)],[c_25899]) ). 75.46/9.98 75.46/9.98 cnf(c_89789,plain, 75.46/9.98 ( sK43 = sK44 | sK43 != v_x | sK44 != v_x ), 75.46/9.98 inference(instantiation,[status(thm)],[c_41353]) ). 75.46/9.98 75.46/9.98 cnf(c_90068,plain, 75.46/9.98 ( sP5 != iProver_top ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_38858,c_1959,c_87119,c_88803,c_89789]) ). 75.46/9.98 75.46/9.98 cnf(c_96392,plain, 75.46/9.98 ( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)))) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | sK49 = v_x ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_64320,c_1959,c_87119,c_88803,c_89789]) ). 75.46/9.98 75.46/9.98 cnf(c_96393,plain, 75.46/9.98 ( sK49 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)))) = iProver_top ), 75.46/9.98 inference(renaming,[status(thm)],[c_96392]) ). 75.46/9.98 75.46/9.98 cnf(c_421,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L) ), 75.46/9.98 inference(cnf_transformation,[],[f2279]) ). 75.46/9.98 75.46/9.98 cnf(c_38769,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L) = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_421]) ). 75.46/9.98 75.46/9.98 cnf(c_96399,plain, 75.46/9.98 ( sK49 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK49),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)))) = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_96393,c_38769]) ). 75.46/9.98 75.46/9.98 cnf(c_300,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) 75.46/9.98 | ~ sP4(X0,X1) ), 75.46/9.98 inference(cnf_transformation,[],[f2154]) ). 75.46/9.98 75.46/9.98 cnf(c_46258,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK49),v_L) 75.46/9.98 | ~ sP4(sK48,sK49) ), 75.46/9.98 inference(instantiation,[status(thm)],[c_300]) ). 75.46/9.98 75.46/9.98 cnf(c_46259,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK49),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_46258]) ). 75.46/9.98 75.46/9.98 cnf(c_295,plain, 75.46/9.98 ( sP2(sK45(X0,X1),X0,X1) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) 75.46/9.98 | ~ sP4(X0,X1) ), 75.46/9.98 inference(cnf_transformation,[],[f2159]) ). 75.46/9.98 75.46/9.98 cnf(c_46257,plain, 75.46/9.98 ( sP2(sK45(sK48,sK49),sK48,sK49) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) 75.46/9.98 | ~ sP4(sK48,sK49) ), 75.46/9.98 inference(instantiation,[status(thm)],[c_295]) ). 75.46/9.98 75.46/9.98 cnf(c_46261,plain, 75.46/9.98 ( sP2(sK45(sK48,sK49),sK48,sK49) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) != iProver_top 75.46/9.98 | sP4(sK48,sK49) != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_46257]) ). 75.46/9.98 75.46/9.98 cnf(c_307,plain, 75.46/9.98 ( ~ sP2(X0,X1,X2) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) ), 75.46/9.98 inference(cnf_transformation,[],[f2168]) ). 75.46/9.98 75.46/9.98 cnf(c_88991,plain, 75.46/9.98 ( ~ sP2(sK45(sK48,sK49),sK48,sK49) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK45(sK48,sK49)),v_L) ), 75.46/9.98 inference(instantiation,[status(thm)],[c_307]) ). 75.46/9.98 75.46/9.98 cnf(c_88992,plain, 75.46/9.98 ( sP2(sK45(sK48,sK49),sK48,sK49) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK45(sK48,sK49)),v_L) != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_88991]) ). 75.46/9.98 75.46/9.98 cnf(c_309,plain, 75.46/9.98 ( ~ sP2(X0,X1,X2) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L) ), 75.46/9.98 inference(cnf_transformation,[],[f2166]) ). 75.46/9.98 75.46/9.98 cnf(c_88990,plain, 75.46/9.98 ( ~ sP2(sK45(sK48,sK49),sK48,sK49) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK45(sK48,sK49)),v_L) ), 75.46/9.98 inference(instantiation,[status(thm)],[c_309]) ). 75.46/9.98 75.46/9.98 cnf(c_88994,plain, 75.46/9.98 ( sP2(sK45(sK48,sK49),sK48,sK49) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK45(sK48,sK49)),v_L) = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_88990]) ). 75.46/9.98 75.46/9.98 cnf(c_38771,plain, 75.46/9.98 ( X0 = X1 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_419]) ). 75.46/9.98 75.46/9.98 cnf(c_306,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) 75.46/9.98 | ~ sP3(X0,X1) ), 75.46/9.98 inference(cnf_transformation,[],[f2160]) ). 75.46/9.98 75.46/9.98 cnf(c_312,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK47(X0)),v_L) 75.46/9.98 | ~ sP1(X0) ), 75.46/9.98 inference(cnf_transformation,[],[f2174]) ). 75.46/9.98 75.46/9.98 cnf(c_8976,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK47(X0)),v_L) 75.46/9.98 | sP3(sK48,sK49) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK49 != X0 ), 75.46/9.98 inference(resolution_lifted,[status(thm)],[c_312,c_318]) ). 75.46/9.98 75.46/9.98 cnf(c_8977,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK47(sK49)),v_L) 75.46/9.98 | sP3(sK48,sK49) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 ), 75.46/9.98 inference(unflattening,[status(thm)],[c_8976]) ). 75.46/9.98 75.46/9.98 cnf(c_10870,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK47(sK49)),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK49 != X1 75.46/9.98 | sK48 != X0 ), 75.46/9.98 inference(resolution_lifted,[status(thm)],[c_306,c_8977]) ). 75.46/9.98 75.46/9.98 cnf(c_10871,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK47(sK49)),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 ), 75.46/9.98 inference(unflattening,[status(thm)],[c_10870]) ). 75.46/9.98 75.46/9.98 cnf(c_38492,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK47(sK49)),v_L) != iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_10871]) ). 75.46/9.98 75.46/9.98 cnf(c_74639,plain, 75.46/9.98 ( sK47(sK49) = v_y 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK47(sK49),v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_38771,c_38492]) ). 75.46/9.98 75.46/9.98 cnf(c_10981,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK49 != X1 75.46/9.98 | sK48 != X0 ), 75.46/9.98 inference(resolution_lifted,[status(thm)],[c_306,c_320]) ). 75.46/9.98 75.46/9.98 cnf(c_10982,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 ), 75.46/9.98 inference(unflattening,[status(thm)],[c_10981]) ). 75.46/9.98 75.46/9.98 cnf(c_10983,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_10982]) ). 75.46/9.98 75.46/9.98 cnf(c_10908,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK49 != X1 75.46/9.98 | sK48 != X0 ), 75.46/9.98 inference(resolution_lifted,[status(thm)],[c_306,c_8939]) ). 75.46/9.98 75.46/9.98 cnf(c_10909,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 ), 75.46/9.98 inference(unflattening,[status(thm)],[c_10908]) ). 75.46/9.98 75.46/9.98 cnf(c_38490,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_10909]) ). 75.46/9.98 75.46/9.98 cnf(c_73894,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK47(sK49)),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK49),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_38490,c_38769]) ). 75.46/9.98 75.46/9.98 cnf(c_321,negated_conjecture, 75.46/9.98 ( sP3(sK48,sK49) | sP4(sK48,sK49) | sP5 | v_x != sK49 ), 75.46/9.98 inference(cnf_transformation,[],[f2177]) ). 75.46/9.98 75.46/9.98 cnf(c_10965,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK49 != X1 75.46/9.98 | sK49 != v_x 75.46/9.98 | sK48 != X0 ), 75.46/9.98 inference(resolution_lifted,[status(thm)],[c_306,c_321]) ). 75.46/9.98 75.46/9.98 cnf(c_10966,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK49 != v_x ), 75.46/9.98 inference(unflattening,[status(thm)],[c_10965]) ). 75.46/9.98 75.46/9.98 cnf(c_10967,plain, 75.46/9.98 ( sK49 != v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_10966]) ). 75.46/9.98 75.46/9.98 cnf(c_73896,plain, 75.46/9.98 ( sK49 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK47(sK49)),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK49),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_38480,c_38769]) ). 75.46/9.98 75.46/9.98 cnf(c_107743,plain, 75.46/9.98 ( sP4(sK48,sK49) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK49),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK47(sK49)),v_L) = iProver_top ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_73894,c_1959,c_10967,c_73896,c_87119,c_88803,c_89789]) ). 75.46/9.98 75.46/9.98 cnf(c_107744,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK47(sK49)),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK49),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top ), 75.46/9.98 inference(renaming,[status(thm)],[c_107743]) ). 75.46/9.98 75.46/9.98 cnf(c_107754,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) != iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_107744,c_38492]) ). 75.46/9.98 75.46/9.98 cnf(c_124890,plain, 75.46/9.98 ( sP4(sK48,sK49) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_74639,c_1959,c_10983,c_87119,c_88803,c_89789,c_107754]) ). 75.46/9.98 75.46/9.98 cnf(c_124891,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top ), 75.46/9.98 inference(renaming,[status(thm)],[c_124890]) ). 75.46/9.98 75.46/9.98 cnf(c_305,plain, 75.46/9.98 ( ~ sP3(v_x,X0) ), 75.46/9.98 inference(cnf_transformation,[],[f2850]) ). 75.46/9.98 75.46/9.98 cnf(c_11870,plain, 75.46/9.98 ( sP4(sK48,sK49) | sP5 | sK49 != X0 | sK49 != v_x | sK48 != v_x ), 75.46/9.98 inference(resolution_lifted,[status(thm)],[c_305,c_321]) ). 75.46/9.98 75.46/9.98 cnf(c_11871,plain, 75.46/9.98 ( sP4(sK48,sK49) | sP5 | sK49 != v_x | sK48 != v_x ), 75.46/9.98 inference(unflattening,[status(thm)],[c_11870]) ). 75.46/9.98 75.46/9.98 cnf(c_11872,plain, 75.46/9.98 ( sK49 != v_x 75.46/9.98 | sK48 != v_x 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_11871]) ). 75.46/9.98 75.46/9.98 cnf(c_108615,plain, 75.46/9.98 ( sP4(sK48,sK49) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK49),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK47(sK49)),v_L) = iProver_top 75.46/9.98 | sK49 = v_x ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_73896,c_1959,c_87119,c_88803,c_89789]) ). 75.46/9.98 75.46/9.98 cnf(c_108616,plain, 75.46/9.98 ( sK49 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK47(sK49)),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK49),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top ), 75.46/9.98 inference(renaming,[status(thm)],[c_108615]) ). 75.46/9.98 75.46/9.98 cnf(c_11051,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK47(sK49)),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK49 != X0 75.46/9.98 | sK48 != X1 75.46/9.98 | v_x = X0 ), 75.46/9.98 inference(resolution_lifted,[status(thm)],[c_304,c_8977]) ). 75.46/9.98 75.46/9.98 cnf(c_11052,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK47(sK49)),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | v_x = sK49 ), 75.46/9.98 inference(unflattening,[status(thm)],[c_11051]) ). 75.46/9.98 75.46/9.98 cnf(c_38482,plain, 75.46/9.98 ( v_x = sK49 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK47(sK49)),v_L) != iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_11052]) ). 75.46/9.98 75.46/9.98 cnf(c_108628,plain, 75.46/9.98 ( sK49 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) != iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_108616,c_38482]) ). 75.46/9.98 75.46/9.98 cnf(c_303,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK46(X0)),v_L) 75.46/9.98 | ~ sP3(X0,X1) ), 75.46/9.98 inference(cnf_transformation,[],[f2163]) ). 75.46/9.98 75.46/9.98 cnf(c_11343,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK46(X0)),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK49 != X1 75.46/9.98 | sK48 != X0 ), 75.46/9.98 inference(resolution_lifted,[status(thm)],[c_303,c_320]) ). 75.46/9.98 75.46/9.98 cnf(c_11344,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK46(sK48)),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 ), 75.46/9.98 inference(unflattening,[status(thm)],[c_11343]) ). 75.46/9.98 75.46/9.98 cnf(c_38466,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK46(sK48)),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_11344]) ). 75.46/9.98 75.46/9.98 cnf(c_73902,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK46(sK48)),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_38466,c_38769]) ). 75.46/9.98 75.46/9.98 cnf(c_11886,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK49 != X0 75.46/9.98 | sK48 != v_x ), 75.46/9.98 inference(resolution_lifted,[status(thm)],[c_305,c_320]) ). 75.46/9.98 75.46/9.98 cnf(c_11887,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK48 != v_x ), 75.46/9.98 inference(unflattening,[status(thm)],[c_11886]) ). 75.46/9.98 75.46/9.98 cnf(c_11888,plain, 75.46/9.98 ( sK48 != v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_11887]) ). 75.46/9.98 75.46/9.98 cnf(c_319,negated_conjecture, 75.46/9.98 ( sP3(sK48,sK49) | sP4(sK48,sK49) | sP5 | v_x = sK48 ), 75.46/9.98 inference(cnf_transformation,[],[f2179]) ). 75.46/9.98 75.46/9.98 cnf(c_11359,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK46(X0)),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK49 != X1 75.46/9.98 | sK48 != X0 75.46/9.98 | sK48 = v_x ), 75.46/9.98 inference(resolution_lifted,[status(thm)],[c_303,c_319]) ). 75.46/9.98 75.46/9.98 cnf(c_11360,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK46(sK48)),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK48 = v_x ), 75.46/9.98 inference(unflattening,[status(thm)],[c_11359]) ). 75.46/9.98 75.46/9.98 cnf(c_38465,plain, 75.46/9.98 ( sK48 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK46(sK48)),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_11360]) ). 75.46/9.98 75.46/9.98 cnf(c_73903,plain, 75.46/9.98 ( sK48 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK46(sK48)),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) != iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_38465,c_38769]) ). 75.46/9.98 75.46/9.98 cnf(c_115138,plain, 75.46/9.98 ( sP4(sK48,sK49) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK46(sK48)),v_L) = iProver_top ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_73902,c_1959,c_11888,c_73903,c_87119,c_88803,c_89789]) ). 75.46/9.98 75.46/9.98 cnf(c_115139,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK46(sK48)),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top ), 75.46/9.98 inference(renaming,[status(thm)],[c_115138]) ). 75.46/9.98 75.46/9.98 cnf(c_301,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK46(X0)),v_L) 75.46/9.98 | ~ sP3(X0,X1) ), 75.46/9.98 inference(cnf_transformation,[],[f2165]) ). 75.46/9.98 75.46/9.98 cnf(c_11705,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK46(X0)),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK49 != X1 75.46/9.98 | sK48 != X0 ), 75.46/9.98 inference(resolution_lifted,[status(thm)],[c_301,c_320]) ). 75.46/9.98 75.46/9.98 cnf(c_11706,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK46(sK48)),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 ), 75.46/9.98 inference(unflattening,[status(thm)],[c_11705]) ). 75.46/9.98 75.46/9.98 cnf(c_38446,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK46(sK48)),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_11706]) ). 75.46/9.98 75.46/9.98 cnf(c_115151,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sK49),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_115139,c_38446]) ). 75.46/9.98 75.46/9.98 cnf(c_116112,plain, 75.46/9.98 ( sP4(sK48,sK49) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK46(sK48)),v_L) = iProver_top 75.46/9.98 | sK48 = v_x ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_73903,c_1959,c_87119,c_88803,c_89789]) ). 75.46/9.98 75.46/9.98 cnf(c_116113,plain, 75.46/9.98 ( sK48 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK46(sK48)),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) != iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top ), 75.46/9.98 inference(renaming,[status(thm)],[c_116112]) ). 75.46/9.98 75.46/9.98 cnf(c_11721,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK46(X0)),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK49 != X1 75.46/9.98 | sK48 != X0 75.46/9.98 | sK48 = v_x ), 75.46/9.98 inference(resolution_lifted,[status(thm)],[c_301,c_319]) ). 75.46/9.98 75.46/9.98 cnf(c_11722,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK46(sK48)),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK48 = v_x ), 75.46/9.98 inference(unflattening,[status(thm)],[c_11721]) ). 75.46/9.98 75.46/9.98 cnf(c_38445,plain, 75.46/9.98 ( sK48 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK46(sK48)),v_L) != iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_11722]) ). 75.46/9.98 75.46/9.98 cnf(c_116126,plain, 75.46/9.98 ( sK48 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) != iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_116113,c_38445]) ). 75.46/9.98 75.46/9.98 cnf(c_124894,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_124891,c_1959,c_11872,c_87119,c_88803,c_89789, 75.46/9.98 c_108628,c_115151,c_116126]) ). 75.46/9.98 75.46/9.98 cnf(c_124903,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK49),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_124894,c_38769]) ). 75.46/9.98 75.46/9.98 cnf(c_154865,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,X0),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,X0),v_L) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK49),v_L) ), 75.46/9.98 inference(instantiation,[status(thm)],[c_421]) ). 75.46/9.98 75.46/9.98 cnf(c_171692,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK45(sK48,sK49)),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK45(sK48,sK49)),v_L) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK49),v_L) ), 75.46/9.98 inference(instantiation,[status(thm)],[c_154865]) ). 75.46/9.98 75.46/9.98 cnf(c_171693,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK45(sK48,sK49)),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK45(sK48,sK49)),v_L) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK49),v_L) != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_171692]) ). 75.46/9.98 75.46/9.98 cnf(c_680,plain, 75.46/9.98 ( ~ c_member(X0,X1,X2) | c_Set_Oinsert(X0,X1,X2) = X2 ), 75.46/9.98 inference(cnf_transformation,[],[f2542]) ). 75.46/9.98 75.46/9.98 cnf(c_38612,plain, 75.46/9.98 ( c_Set_Oinsert(X0,X1,X2) = X2 75.46/9.98 | c_member(X0,X1,X2) != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_680]) ). 75.46/9.98 75.46/9.98 cnf(c_62494,plain, 75.46/9.98 ( c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)),v_L) = v_L 75.46/9.98 | sK49 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_38480,c_38612]) ). 75.46/9.98 75.46/9.98 cnf(c_91828,plain, 75.46/9.98 ( sP4(sK48,sK49) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | sK49 = v_x 75.46/9.98 | c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)),v_L) = v_L ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_62494,c_1959,c_87119,c_88803,c_89789]) ). 75.46/9.98 75.46/9.98 cnf(c_91829,plain, 75.46/9.98 ( c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)),v_L) = v_L 75.46/9.98 | sK49 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top ), 75.46/9.98 inference(renaming,[status(thm)],[c_91828]) ). 75.46/9.98 75.46/9.98 cnf(c_91833,plain, 75.46/9.98 ( c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,sK47(sK49)),v_L) = v_L 75.46/9.98 | c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = v_L 75.46/9.98 | sK49 = v_x 75.46/9.98 | sP4(sK48,sK49) = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_91829,c_38612]) ). 75.46/9.98 75.46/9.98 cnf(c_296,plain, 75.46/9.98 ( sP2(sK45(X0,X1),X0,X1) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) 75.46/9.98 | ~ sP4(X0,X1) ), 75.46/9.98 inference(cnf_transformation,[],[f2158]) ). 75.46/9.98 75.46/9.98 cnf(c_46256,plain, 75.46/9.98 ( sP2(sK45(sK48,sK49),sK48,sK49) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) 75.46/9.98 | ~ sP4(sK48,sK49) ), 75.46/9.98 inference(instantiation,[status(thm)],[c_296]) ). 75.46/9.98 75.46/9.98 cnf(c_46263,plain, 75.46/9.98 ( sP2(sK45(sK48,sK49),sK48,sK49) = iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_46256]) ). 75.46/9.98 75.46/9.98 cnf(c_98209,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) 75.46/9.98 | c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = v_L ), 75.46/9.98 inference(instantiation,[status(thm)],[c_680]) ). 75.46/9.98 75.46/9.98 cnf(c_98213,plain, 75.46/9.98 ( c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = v_L 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_98209]) ). 75.46/9.98 75.46/9.98 cnf(c_124899,plain, 75.46/9.98 ( c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = v_L 75.46/9.98 | sP4(sK48,sK49) = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_124894,c_38612]) ). 75.46/9.98 75.46/9.98 cnf(c_182836,plain, 75.46/9.98 ( c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = v_L ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_91833,c_46259,c_46263,c_88992,c_88994,c_98213, 75.46/9.98 c_124899,c_171693]) ). 75.46/9.98 75.46/9.98 cnf(c_470,plain, 75.46/9.98 ( c_member(X0,X1,c_Set_Oinsert(X0,X1,X2)) ), 75.46/9.98 inference(cnf_transformation,[],[f2865]) ). 75.46/9.98 75.46/9.98 cnf(c_39038,plain, 75.46/9.98 ( c_member(X0,X1,c_Set_Oinsert(X0,X1,X2)) = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_470]) ). 75.46/9.98 75.46/9.98 cnf(c_182881,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_182836,c_39038]) ). 75.46/9.98 75.46/9.98 cnf(c_194143,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK49),v_L) 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) ), 75.46/9.98 inference(instantiation,[status(thm)],[c_154865]) ). 75.46/9.98 75.46/9.98 cnf(c_194146,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,sK49),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) = iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_194143]) ). 75.46/9.98 75.46/9.98 cnf(c_212260,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK49),v_L) != iProver_top 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) = iProver_top ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_96399,c_46259,c_46261,c_88992,c_88994,c_124903, 75.46/9.98 c_171693,c_182881,c_194146]) ). 75.46/9.98 75.46/9.98 cnf(c_212275,plain, 75.46/9.98 ( sK49 = v_x 75.46/9.98 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L) = iProver_top 75.46/9.98 | sP4(sK48,sK49) = iProver_top 75.46/9.98 | sP5 = iProver_top ), 75.46/9.98 inference(superposition,[status(thm)],[c_38476,c_212260]) ). 75.46/9.98 75.46/9.98 cnf(c_420,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L) ), 75.46/9.98 inference(cnf_transformation,[],[f2280]) ). 75.46/9.98 75.46/9.98 cnf(c_194124,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L) ), 75.46/9.98 inference(instantiation,[status(thm)],[c_420]) ). 75.46/9.98 75.46/9.98 cnf(c_194127,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L) != iProver_top ), 75.46/9.98 inference(predicate_to_equality,[status(thm)],[c_194124]) ). 75.46/9.98 75.46/9.98 cnf(c_183071,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK49,v_y),v_L) ), 75.46/9.98 inference(predicate_to_equality_rev,[status(thm)],[c_182881]) ). 75.46/9.98 75.46/9.98 cnf(c_489,plain, 75.46/9.98 ( sP6(X0,X0,X1,X2,X3) 75.46/9.98 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),X1) ), 75.46/9.98 inference(cnf_transformation,[],[f2866]) ). 75.46/9.98 75.46/9.98 cnf(c_10997,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK49 != X1 75.46/9.98 | sK48 != X0 75.46/9.98 | sK48 = v_x ), 75.46/9.98 inference(resolution_lifted,[status(thm)],[c_306,c_319]) ). 75.46/9.98 75.46/9.98 cnf(c_10998,plain, 75.46/9.98 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK48 = v_x ), 75.46/9.98 inference(unflattening,[status(thm)],[c_10997]) ). 75.46/9.98 75.46/9.98 cnf(c_130426,plain, 75.46/9.98 ( sP6(sK48,sK48,v_L,X0,v_y) | sP4(sK48,sK49) | sP5 | sK48 = v_x ), 75.46/9.98 inference(resolution,[status(thm)],[c_489,c_10998]) ). 75.46/9.98 75.46/9.98 cnf(c_90070,plain, 75.46/9.98 ( ~ sP5 ), 75.46/9.98 inference(predicate_to_equality_rev,[status(thm)],[c_90068]) ). 75.46/9.98 75.46/9.98 cnf(c_116140,plain, 75.46/9.98 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK48,v_y),v_L) 75.46/9.98 | sP4(sK48,sK49) 75.46/9.98 | sP5 75.46/9.98 | sK48 = v_x ), 75.46/9.98 inference(predicate_to_equality_rev,[status(thm)],[c_116126]) ). 75.46/9.98 75.46/9.98 cnf(c_131451,plain, 75.46/9.98 ( sP4(sK48,sK49) | sK48 = v_x ), 75.46/9.98 inference(global_propositional_subsumption, 75.46/9.98 [status(thm)], 75.46/9.98 [c_130426,c_10998,c_90070,c_116140]) ). 75.46/9.98 75.46/9.98 cnf(c_131700,plain, 75.46/9.98 ( sP4(sK48,sK49) | sP5 | sK49 != v_x ), 75.46/9.98 inference(backward_subsumption_resolution, 75.46/9.98 [status(thm)], 75.46/9.98 [c_131451,c_11871]) ). 75.46/9.98 75.46/9.98 cnf(contradiction,plain, 75.46/9.98 ( $false ), 75.46/9.98 inference(minisat, 75.46/9.98 [status(thm)], 75.46/9.98 [c_212275,c_194146,c_194143,c_194127,c_183071,c_182881, 75.46/9.98 c_171693,c_171692,c_131700,c_90070,c_90068,c_88994, 75.46/9.98 c_88990,c_88992,c_88991,c_46261,c_46257,c_46259,c_46258]) ). 75.46/9.98 75.46/9.98 75.46/9.98 % SZS output end CNFRefutation for theBenchmark.p 75.46/9.98 75.46/9.98 ------ Statistics 75.46/9.98 75.46/9.98 ------ Selected 75.46/9.98 75.46/9.98 total_time: 9.126 75.46/9.98 75.46/9.99 EOF