0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : iproveropt_run.sh %d %s 0.11/0.33 % Computer : n024.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Thu Jul 2 09:02:11 EDT 2020 0.11/0.33 % CPUTime : 0.11/0.33 % Running in FOF mode 77.68/10.48 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 77.68/10.48 77.68/10.48 %---------------- iProver v3.3 (CASC-J10 2020) ----------------% 77.68/10.48 77.68/10.48 ------ iProver source info 77.68/10.48 77.68/10.48 git: date: 2020-06-30 10:37:57 +0100 77.68/10.48 git: sha1: e3013b43002810b07ddde22341e87fe21d0d6388 77.68/10.48 git: non_committed_changes: false 77.68/10.48 git: last_make_outside_of_git: false 77.68/10.48 77.68/10.48 ------ 77.68/10.48 ------ Parsing... 77.68/10.48 ------ Clausification by vclausify_rel & Parsing by iProver... 77.68/10.48 77.68/10.48 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 2 0s sf_e 77.68/10.48 77.68/10.48 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 77.68/10.48 77.68/10.48 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 77.68/10.48 ------ Proving... 77.68/10.48 ------ Problem Properties 77.68/10.48 77.68/10.48 77.68/10.48 clauses 675 77.68/10.48 conjectures 6 77.68/10.48 EPR 88 77.68/10.48 Horn 530 77.68/10.48 unary 149 77.68/10.48 binary 275 77.68/10.48 lits 1567 77.68/10.48 lits eq 274 77.68/10.48 fd_pure 0 77.68/10.48 fd_pseudo 0 77.68/10.48 fd_cond 5 77.68/10.48 fd_pseudo_cond 80 77.68/10.48 AC symbols 0 77.68/10.48 77.68/10.48 ------ Input Options Time Limit: Unbounded 77.68/10.48 77.68/10.48 77.68/10.48 ------ 77.68/10.48 Current options: 77.68/10.48 ------ 77.68/10.48 77.68/10.48 77.68/10.48 77.68/10.48 77.68/10.48 ------ Proving... 77.68/10.48 77.68/10.48 77.68/10.48 % SZS status Theorem for theBenchmark.p 77.68/10.48 77.68/10.48 % SZS output start CNFRefutation for theBenchmark.p 77.68/10.48 77.68/10.48 fof(f65,conjecture,( 77.68/10.48 ! [X7,X29] : (((v_y = X29 & v_y != X7 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,v_x),v_L)) => ! [X30] : ((c_member(tc_prod(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_x,X30),v_L) & v_y != X30) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,X30),v_L))) & ((v_y = X7 & v_y != X29 & c_member(tc_prod(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_x,X29),v_L)) => ! [X30] : ((v_x = X29 => v_y != X30) & ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X29,X30),v_L) & v_y != X30) => c_member(tc_prod(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_x,X30),v_L)) & (v_y = X30 => ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X29,v_x),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,X7,X29),v_L) & v_y != X7 & v_y != X29) => ! [X30] : (((v_x = X29 & v_y = X30) => (v_x = X7 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,v_x),v_L))) & ((v_y != X30 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X29,X30),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,X7,X30),v_L)) & ((v_y = X30 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X29,v_x),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,X7,v_x),v_L) | v_x = X7))))) & ! [X7,X29] : (X7 != X29 => ((v_y != X29 & c_member(tc_prod(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_x,X29),v_L) & v_y = X7) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X29,X7),v_L) & v_y != X7 & v_y != X29) | (v_y = X7 & v_y != X29 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X29,v_x),v_L)) | (v_y != X7 & c_member(tc_prod(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_x,X7),v_L) & v_y = X29) | (v_x = X29 & v_y = X7) | (v_y != X7 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,v_x),v_L) & v_y = X29) | (v_y != X29 & v_y != X7 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,X29),v_L)) | (v_y = X29 & v_x = X7)))), 77.68/10.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 77.68/10.48 77.68/10.48 fof(f66,negated_conjecture,( 77.68/10.48 ~(! [X7,X29] : (((v_y = X29 & v_y != X7 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,v_x),v_L)) => ! [X30] : ((c_member(tc_prod(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_x,X30),v_L) & v_y != X30) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,X30),v_L))) & ((v_y = X7 & v_y != X29 & c_member(tc_prod(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_x,X29),v_L)) => ! [X30] : ((v_x = X29 => v_y != X30) & ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X29,X30),v_L) & v_y != X30) => c_member(tc_prod(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_x,X30),v_L)) & (v_y = X30 => ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X29,v_x),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,X7,X29),v_L) & v_y != X7 & v_y != X29) => ! [X30] : (((v_x = X29 & v_y = X30) => (v_x = X7 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,v_x),v_L))) & ((v_y != X30 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X29,X30),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,X7,X30),v_L)) & ((v_y = X30 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X29,v_x),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,X7,v_x),v_L) | v_x = X7))))) & ! [X7,X29] : (X7 != X29 => ((v_y != X29 & c_member(tc_prod(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_x,X29),v_L) & v_y = X7) | (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X29,X7),v_L) & v_y != X7 & v_y != X29) | (v_y = X7 & v_y != X29 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X29,v_x),v_L)) | (v_y != X7 & c_member(tc_prod(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_x,X7),v_L) & v_y = X29) | (v_x = X29 & v_y = X7) | (v_y != X7 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,v_x),v_L) & v_y = X29) | (v_y != X29 & v_y != X7 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,X29),v_L)) | (v_y = X29 & v_x = X7))))), 77.68/10.48 inference(negated_conjecture,[],[f65])). 77.68/10.48 77.68/10.48 fof(f589,plain,( 77.68/10.48 ~(! [X0,X1] : (((v_y = X1 & v_y != 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_x),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,v_x,X2),v_L) & v_y != 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_y = X0 & 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_x,X1),v_L)) => ! [X3] : ((v_x = X1 => v_y != 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,X3),v_L) & v_y != 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,v_x,X3),v_L)) & (v_y = 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,v_x),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_y != X0 & v_y != X1) => ! [X4] : (((v_x = X1 & v_y = X4) => (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_x),v_L))) & ((v_y != 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),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,X4),v_L)) & ((v_y = 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,v_x),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_x),v_L) | v_x = X0))))) & ! [X5,X6] : (X5 != X6 => ((v_y != 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_x,X6),v_L) & 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,X6,X5),v_L) & v_y != X5 & v_y != X6) | (v_y = X5 & v_y != 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,X6,v_x),v_L)) | (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_x,X5),v_L) & v_y = X6) | (v_x = X6 & v_y = 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,X5,v_x),v_L) & v_y = X6) | (v_y != X6 & 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,X5,X6),v_L)) | (v_y = X6 & v_x = X5))))), 77.68/10.48 inference(rectify,[],[f66])). 77.68/10.48 77.68/10.48 fof(f1082,plain,( 77.68/10.48 ? [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) & (c_member(tc_prod(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_x,X2),v_L) & v_y != X2)) & (v_y = X1 & v_y != 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_x),v_L))) | (? [X3] : ((v_y = X3 & 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_x,X3),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,X3),v_L) & v_y != 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,v_x),v_L) & v_y = X3)) & (v_y = X0 & 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_x,X1),v_L))) | (? [X4] : (((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_x),v_L)) & (v_x = X1 & v_y = 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,X0,X4),v_L) & (v_y != 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),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_x),v_L) & v_x != X0) & (v_y = 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,v_x),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_y != X0 & v_y != X1))) | ? [X5,X6] : (((v_y = 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_x,X6),v_L) | 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,X6,X5),v_L) | v_y = X5 | v_y = X6) & (v_y != X5 | v_y = 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,X6,v_x),v_L)) & (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_x,X5),v_L) | v_y != X6) & (v_x != X6 | v_y != 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,X5,v_x),v_L) | v_y != X6) & (v_y = X6 | 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,X5,X6),v_L)) & (v_y != X6 | v_x != X5)) & X5 != X6)), 77.68/10.48 inference(ennf_transformation,[],[f589])). 77.68/10.48 77.68/10.48 fof(f1083,plain,( 77.68/10.48 ? [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) & c_member(tc_prod(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_x,X2),v_L) & v_y != X2) & v_y = X1 & v_y != 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_x),v_L)) | (? [X3] : ((v_y = X3 & 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_x,X3),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,X3),v_L) & v_y != 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,v_x),v_L) & v_y = X3)) & v_y = X0 & 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_x,X1),v_L)) | (? [X4] : ((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_x),v_L) & v_x = X1 & v_y = 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,X0,X4),v_L) & v_y != 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),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_x),v_L) & v_x != X0 & v_y = 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,v_x),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_y != X0 & v_y != X1)) | ? [X5,X6] : ((v_y = 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_x,X6),v_L) | 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,X6,X5),v_L) | v_y = X5 | v_y = X6) & (v_y != X5 | v_y = 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,X6,v_x),v_L)) & (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_x,X5),v_L) | v_y != X6) & (v_x != X6 | v_y != 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,X5,v_x),v_L) | v_y != X6) & (v_y = X6 | 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,X5,X6),v_L)) & (v_y != X6 | v_x != X5) & X5 != X6)), 77.68/10.48 inference(flattening,[],[f1082])). 77.68/10.48 77.68/10.48 fof(f1523,plain,( 77.68/10.48 ? [X5,X6] : ((v_y = 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_x,X6),v_L) | 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,X6,X5),v_L) | v_y = X5 | v_y = X6) & (v_y != X5 | v_y = 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,X6,v_x),v_L)) & (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_x,X5),v_L) | v_y != X6) & (v_x != X6 | v_y != 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,X5,v_x),v_L) | v_y != X6) & (v_y = X6 | 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,X5,X6),v_L)) & (v_y != X6 | v_x != X5) & X5 != X6) | ~sP5), 77.68/10.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])). 77.68/10.48 77.68/10.48 fof(f1522,plain,( 77.68/10.48 ! [X1,X0] : ((? [X4] : (sP1(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,X0,X4),v_L) & v_y != 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),v_L)) | sP0(X0,X4,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) & v_y != X0 & v_y != X1) | ~sP4(X1,X0))), 77.68/10.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])])). 77.68/10.48 77.68/10.48 fof(f1521,plain,( 77.68/10.48 ! [X1,X0] : ((? [X3] : ((v_y = X3 & v_x = X1) | sP2(X3,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_x),v_L) & v_y = X3)) & v_y = X0 & 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_x,X1),v_L)) | ~sP3(X1,X0))), 77.68/10.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])])). 77.68/10.48 77.68/10.48 fof(f1520,plain,( 77.68/10.48 ! [X3,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_x,X3),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,X3),v_L) & v_y != X3) | ~sP2(X3,X1))), 77.68/10.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])). 77.68/10.48 77.68/10.48 fof(f1519,plain,( 77.68/10.48 ! [X0,X1,X4] : ((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_x),v_L) & v_x = X1 & v_y = X4) | ~sP1(X0,X1,X4))), 77.68/10.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])). 77.68/10.48 77.68/10.48 fof(f1518,plain,( 77.68/10.48 ! [X0,X4,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_x),v_L) & v_x != X0 & v_y = 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,v_x),v_L)) | ~sP0(X0,X4,X1))), 77.68/10.48 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])). 77.68/10.48 77.68/10.48 fof(f1524,plain,( 77.68/10.48 ? [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) & c_member(tc_prod(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_x,X2),v_L) & v_y != X2) & v_y = X1 & v_y != 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_x),v_L)) | sP3(X1,X0) | sP4(X1,X0)) | sP5), 77.68/10.48 inference(definition_folding,[],[f1083,f1523,f1522,f1521,f1520,f1519,f1518])). 77.68/10.48 77.68/10.48 fof(f1569,plain,( 77.68/10.48 ( ! [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) & c_member(tc_prod(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_x,X2),v_L) & v_y != 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,sK16),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,v_x,sK16),v_L) & v_y != sK16)) )), 77.68/10.48 introduced(choice_axiom,[])). 77.68/10.48 77.68/10.48 fof(f1568,plain,( 77.68/10.48 ? [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) & c_member(tc_prod(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_x,X2),v_L) & v_y != X2) & v_y = X1 & v_y != 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_x),v_L)) | sP3(X1,X0) | sP4(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,sK14,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,v_x,X2),v_L) & v_y != X2) & v_y = sK15 & v_y != sK14 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,v_x),v_L)) | sP3(sK15,sK14) | sP4(sK15,sK14))), 77.68/10.48 introduced(choice_axiom,[])). 77.68/10.48 77.68/10.48 fof(f1570,plain,( 77.68/10.48 (((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK16),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,v_x,sK16),v_L) & v_y != sK16) & v_y = sK15 & v_y != sK14 & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,v_x),v_L)) | sP3(sK15,sK14) | sP4(sK15,sK14)) | sP5), 77.68/10.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f1524,f1569,f1568])). 77.68/10.48 77.68/10.48 fof(f1976,plain,( 77.68/10.48 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,v_x),v_L) | sP3(sK15,sK14) | sP4(sK15,sK14) | sP5), 77.68/10.48 inference(cnf_transformation,[],[f1570])). 77.68/10.48 77.68/10.48 fof(f1980,plain,( 77.68/10.48 c_member(tc_prod(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_x,sK16),v_L) | sP3(sK15,sK14) | sP4(sK15,sK14) | sP5), 77.68/10.48 inference(cnf_transformation,[],[f1570])). 77.68/10.48 77.68/10.48 fof(f448,axiom,( 77.68/10.48 ! [X7] : ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,X7),v_L) & ! [X7,X29] : (X7 != X29 => (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,X29),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,X29,X7),v_L))) & ! [X7,X29] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X7,X29),v_L) => ! [X30] : (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X29,X30),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,X7,X30),v_L)))), 77.68/10.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 77.68/10.48 77.68/10.48 fof(f950,plain,( 77.68/10.48 ! [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,X0),v_L) & ! [X1,X2] : (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,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,X2,X1),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)))), 77.68/10.48 inference(rectify,[],[f448])). 77.68/10.48 77.68/10.48 fof(f1447,plain,( 77.68/10.48 ! [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,X0),v_L) & ! [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,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,X2,X1),v_L)) | X1 = X2) & ! [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))), 77.68/10.48 inference(ennf_transformation,[],[f950])). 77.68/10.48 77.68/10.48 fof(f1448,plain,( 77.68/10.48 ! [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,X0),v_L) & ! [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,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,X2,X1),v_L) | X1 = X2) & ! [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))), 77.68/10.48 inference(flattening,[],[f1447])). 77.68/10.48 77.68/10.48 fof(f2573,plain,( 77.68/10.48 ( ! [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)) )), 77.68/10.48 inference(cnf_transformation,[],[f1448])). 77.68/10.48 77.68/10.48 fof(f1981,plain,( 77.68/10.48 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK16),v_L) | sP3(sK15,sK14) | sP4(sK15,sK14) | sP5), 77.68/10.48 inference(cnf_transformation,[],[f1570])). 77.68/10.48 77.68/10.48 fof(f1558,plain,( 77.68/10.48 ! [X1,X0] : ((? [X3] : ((v_y = X3 & v_x = X1) | sP2(X3,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_x),v_L) & v_y = X3)) & v_y = X0 & 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_x,X1),v_L)) | ~sP3(X1,X0))), 77.68/10.48 inference(nnf_transformation,[],[f1521])). 77.68/10.48 77.68/10.48 fof(f1559,plain,( 77.68/10.48 ! [X0,X1] : ((? [X2] : ((v_y = X2 & v_x = X0) | sP2(X2,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_x),v_L) & v_y = X2)) & v_y = X1 & v_y != 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_x,X0),v_L)) | ~sP3(X0,X1))), 77.68/10.48 inference(rectify,[],[f1558])). 77.68/10.48 77.68/10.48 fof(f1560,plain,( 77.68/10.48 ! [X0] : (? [X2] : ((v_y = X2 & v_x = X0) | sP2(X2,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_x),v_L) & v_y = X2)) => ((v_y = sK13(X0) & v_x = X0) | sP2(sK13(X0),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_x),v_L) & v_y = sK13(X0))))), 77.68/10.48 introduced(choice_axiom,[])). 77.68/10.48 77.68/10.48 fof(f1561,plain,( 77.68/10.48 ! [X0,X1] : ((((v_y = sK13(X0) & v_x = X0) | sP2(sK13(X0),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_x),v_L) & v_y = sK13(X0))) & v_y = X1 & v_y != 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_x,X0),v_L)) | ~sP3(X0,X1))), 77.68/10.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f1559,f1560])). 77.68/10.48 77.68/10.48 fof(f1960,plain,( 77.68/10.48 ( ! [X0,X1] : (v_y = X1 | ~sP3(X0,X1)) )), 77.68/10.48 inference(cnf_transformation,[],[f1561])). 77.68/10.48 77.68/10.48 fof(f1958,plain,( 77.68/10.48 ( ! [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_x,X0),v_L) | ~sP3(X0,X1)) )), 77.68/10.48 inference(cnf_transformation,[],[f1561])). 77.68/10.48 77.68/10.48 fof(f2574,plain,( 77.68/10.48 ( ! [X2,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,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,X2,X1),v_L) | X1 = X2) )), 77.68/10.48 inference(cnf_transformation,[],[f1448])). 77.68/10.48 77.68/10.48 fof(f1562,plain,( 77.68/10.48 ! [X3,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_x,X3),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,X3),v_L) & v_y != X3) | ~sP2(X3,X1))), 77.68/10.48 inference(nnf_transformation,[],[f1520])). 77.68/10.48 77.68/10.48 fof(f1563,plain,( 77.68/10.48 ! [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_x,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,X1,X0),v_L) & v_y != X0) | ~sP2(X0,X1))), 77.68/10.48 inference(rectify,[],[f1562])). 77.68/10.48 77.68/10.48 fof(f1966,plain,( 77.68/10.48 ( ! [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)) )), 77.68/10.48 inference(cnf_transformation,[],[f1563])). 77.68/10.48 77.68/10.48 fof(f1554,plain,( 77.68/10.48 ! [X1,X0] : ((? [X4] : (sP1(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,X0,X4),v_L) & v_y != 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),v_L)) | sP0(X0,X4,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) & v_y != X0 & v_y != X1) | ~sP4(X1,X0))), 77.68/10.48 inference(nnf_transformation,[],[f1522])). 77.68/10.48 77.68/10.48 fof(f1555,plain,( 77.68/10.48 ! [X0,X1] : ((? [X2] : (sP1(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,X1,X2),v_L) & v_y != 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)) | sP0(X1,X2,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_y != X1 & v_y != X0) | ~sP4(X0,X1))), 77.68/10.48 inference(rectify,[],[f1554])). 77.68/10.48 77.68/10.48 fof(f1556,plain,( 77.68/10.48 ! [X1,X0] : (? [X2] : (sP1(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,X1,X2),v_L) & v_y != 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)) | sP0(X1,X2,X0)) => (sP1(X1,X0,sK12(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,sK12(X0,X1)),v_L) & v_y != sK12(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,sK12(X0,X1)),v_L)) | sP0(X1,sK12(X0,X1),X0)))), 77.68/10.48 introduced(choice_axiom,[])). 77.68/10.48 77.68/10.48 fof(f1557,plain,( 77.68/10.48 ! [X0,X1] : (((sP1(X1,X0,sK12(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,sK12(X0,X1)),v_L) & v_y != sK12(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,sK12(X0,X1)),v_L)) | sP0(X1,sK12(X0,X1),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_y != X1 & v_y != X0) | ~sP4(X0,X1))), 77.68/10.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f1555,f1556])). 77.68/10.48 77.68/10.48 fof(f1957,plain,( 77.68/10.48 ( ! [X0,X1] : (sP1(X1,X0,sK12(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,sK12(X0,X1)),v_L) | sP0(X1,sK12(X0,X1),X0) | ~sP4(X0,X1)) )), 77.68/10.48 inference(cnf_transformation,[],[f1557])). 77.68/10.48 77.68/10.48 fof(f1954,plain,( 77.68/10.48 ( ! [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) | ~sP4(X0,X1)) )), 77.68/10.48 inference(cnf_transformation,[],[f1557])). 77.68/10.48 77.68/10.48 fof(f1955,plain,( 77.68/10.48 ( ! [X0,X1] : (sP1(X1,X0,sK12(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,sK12(X0,X1)),v_L) | sP0(X1,sK12(X0,X1),X0) | ~sP4(X0,X1)) )), 77.68/10.48 inference(cnf_transformation,[],[f1557])). 77.68/10.48 77.68/10.48 fof(f1566,plain,( 77.68/10.48 ! [X0,X4,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_x),v_L) & v_x != X0 & v_y = 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,v_x),v_L)) | ~sP0(X0,X4,X1))), 77.68/10.48 inference(nnf_transformation,[],[f1518])). 77.68/10.48 77.68/10.48 fof(f1567,plain,( 77.68/10.48 ! [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_x),v_L) & v_x != X0 & 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,X2,v_x),v_L)) | ~sP0(X0,X1,X2))), 77.68/10.48 inference(rectify,[],[f1566])). 77.68/10.48 77.68/10.48 fof(f1975,plain,( 77.68/10.48 ( ! [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_x),v_L) | ~sP0(X0,X1,X2)) )), 77.68/10.48 inference(cnf_transformation,[],[f1567])). 77.68/10.48 77.68/10.48 fof(f1564,plain,( 77.68/10.48 ! [X0,X1,X4] : ((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_x),v_L) & v_x = X1 & v_y = X4) | ~sP1(X0,X1,X4))), 77.68/10.48 inference(nnf_transformation,[],[f1519])). 77.68/10.48 77.68/10.48 fof(f1565,plain,( 77.68/10.48 ! [X0,X1,X2] : ((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_x),v_L) & v_x = X1 & v_y = X2) | ~sP1(X0,X1,X2))), 77.68/10.48 inference(rectify,[],[f1564])). 77.68/10.48 77.68/10.48 fof(f1970,plain,( 77.68/10.48 ( ! [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_x),v_L) | ~sP1(X0,X1,X2)) )), 77.68/10.48 inference(cnf_transformation,[],[f1565])). 77.68/10.48 77.68/10.48 fof(f152,axiom,( 77.68/10.48 ! [X0,X12,X2] : (c_member(X2,X12,X0) <=> hBOOL(hAPP(X0,X12)))), 77.68/10.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 77.68/10.48 77.68/10.48 fof(f672,plain,( 77.68/10.48 ! [X0,X1,X2] : (c_member(X2,X1,X0) <=> hBOOL(hAPP(X0,X1)))), 77.68/10.48 inference(rectify,[],[f152])). 77.68/10.48 77.68/10.48 fof(f1613,plain,( 77.68/10.48 ! [X0,X1,X2] : ((c_member(X2,X1,X0) | ~hBOOL(hAPP(X0,X1))) & (hBOOL(hAPP(X0,X1)) | ~c_member(X2,X1,X0)))), 77.68/10.48 inference(nnf_transformation,[],[f672])). 77.68/10.48 77.68/10.48 fof(f2104,plain,( 77.68/10.48 ( ! [X2,X0,X1] : (hBOOL(hAPP(X0,X1)) | ~c_member(X2,X1,X0)) )), 77.68/10.48 inference(cnf_transformation,[],[f1613])). 77.68/10.48 77.68/10.48 fof(f1550,plain,( 77.68/10.48 ? [X5,X6] : ((v_y = 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_x,X6),v_L) | 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,X6,X5),v_L) | v_y = X5 | v_y = X6) & (v_y != X5 | v_y = 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,X6,v_x),v_L)) & (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_x,X5),v_L) | v_y != X6) & (v_x != X6 | v_y != 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,X5,v_x),v_L) | v_y != X6) & (v_y = X6 | 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,X5,X6),v_L)) & (v_y != X6 | v_x != X5) & X5 != X6) | ~sP5), 77.68/10.48 inference(nnf_transformation,[],[f1523])). 77.68/10.48 77.68/10.48 fof(f1551,plain,( 77.68/10.48 ? [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_x,X1),v_L) | v_y != 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_y = X0 | v_y = X1) & (v_y != X0 | 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,X1,v_x),v_L)) & (v_y = 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_x,X0),v_L) | v_y != X1) & (v_x != X1 | v_y != X0) & (v_y = 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_x),v_L) | v_y != X1) & (v_y = X1 | v_y = 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_y != X1 | v_x != X0) & X0 != X1) | ~sP5), 77.68/10.48 inference(rectify,[],[f1550])). 77.68/10.48 77.68/10.48 fof(f1552,plain,( 77.68/10.48 ? [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_x,X1),v_L) | v_y != 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_y = X0 | v_y = X1) & (v_y != X0 | 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,X1,v_x),v_L)) & (v_y = 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_x,X0),v_L) | v_y != X1) & (v_x != X1 | v_y != X0) & (v_y = 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_x),v_L) | v_y != X1) & (v_y = X1 | v_y = 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_y != X1 | v_x != X0) & X0 != X1) => ((v_y = sK11 | ~c_member(tc_prod(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_x,sK11),v_L) | v_y != sK10) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK10),v_L) | v_y = sK10 | v_y = sK11) & (v_y != sK10 | v_y = sK11 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,v_x),v_L)) & (v_y = sK10 | ~c_member(tc_prod(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_x,sK10),v_L) | v_y != sK11) & (v_x != sK11 | v_y != sK10) & (v_y = sK10 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L) | v_y != sK11) & (v_y = sK11 | v_y = sK10 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L)) & (v_y != sK11 | v_x != sK10) & sK10 != sK11)), 77.68/10.48 introduced(choice_axiom,[])). 77.68/10.48 77.68/10.48 fof(f1553,plain,( 77.68/10.48 ((v_y = sK11 | ~c_member(tc_prod(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_x,sK11),v_L) | v_y != sK10) & (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK10),v_L) | v_y = sK10 | v_y = sK11) & (v_y != sK10 | v_y = sK11 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,v_x),v_L)) & (v_y = sK10 | ~c_member(tc_prod(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_x,sK10),v_L) | v_y != sK11) & (v_x != sK11 | v_y != sK10) & (v_y = sK10 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L) | v_y != sK11) & (v_y = sK11 | v_y = sK10 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L)) & (v_y != sK11 | v_x != sK10) & sK10 != sK11) | ~sP5), 77.68/10.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f1551,f1552])). 77.68/10.48 77.68/10.48 fof(f1943,plain,( 77.68/10.48 sK10 != sK11 | ~sP5), 77.68/10.48 inference(cnf_transformation,[],[f1553])). 77.68/10.48 77.68/10.48 fof(f1945,plain,( 77.68/10.48 v_y = sK11 | v_y = sK10 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L) | ~sP5), 77.68/10.48 inference(cnf_transformation,[],[f1553])). 77.68/10.48 77.68/10.48 fof(f1947,plain,( 77.68/10.48 v_x != sK11 | v_y != sK10 | ~sP5), 77.68/10.48 inference(cnf_transformation,[],[f1553])). 77.68/10.48 77.68/10.48 fof(f1949,plain,( 77.68/10.48 v_y != sK10 | v_y = sK11 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,v_x),v_L) | ~sP5), 77.68/10.48 inference(cnf_transformation,[],[f1553])). 77.68/10.48 77.68/10.48 fof(f1951,plain,( 77.68/10.48 v_y = sK11 | ~c_member(tc_prod(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_x,sK11),v_L) | v_y != sK10 | ~sP5), 77.68/10.48 inference(cnf_transformation,[],[f1553])). 77.68/10.48 77.68/10.48 fof(f1950,plain,( 77.68/10.48 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK10),v_L) | v_y = sK10 | v_y = sK11 | ~sP5), 77.68/10.48 inference(cnf_transformation,[],[f1553])). 77.68/10.48 77.68/10.48 fof(f1946,plain,( 77.68/10.48 v_y = sK10 | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L) | v_y != sK11 | ~sP5), 77.68/10.48 inference(cnf_transformation,[],[f1553])). 77.68/10.48 77.68/10.48 fof(f1944,plain,( 77.68/10.48 v_y != sK11 | v_x != sK10 | ~sP5), 77.68/10.48 inference(cnf_transformation,[],[f1553])). 77.68/10.48 77.68/10.48 fof(f1948,plain,( 77.68/10.48 v_y = sK10 | ~c_member(tc_prod(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_x,sK10),v_L) | v_y != sK11 | ~sP5), 77.68/10.48 inference(cnf_transformation,[],[f1553])). 77.68/10.48 77.68/10.48 fof(f1972,plain,( 77.68/10.48 ( ! [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,v_x),v_L) | ~sP0(X0,X1,X2)) )), 77.68/10.48 inference(cnf_transformation,[],[f1567])). 77.68/10.48 77.68/10.48 fof(f1969,plain,( 77.68/10.48 ( ! [X2,X0,X1] : (v_x = X1 | ~sP1(X0,X1,X2)) )), 77.68/10.48 inference(cnf_transformation,[],[f1565])). 77.68/10.48 77.68/10.48 fof(f2575,plain,( 77.68/10.48 ( ! [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,X0),v_L)) )), 77.68/10.48 inference(cnf_transformation,[],[f1448])). 77.68/10.48 77.68/10.48 fof(f202,axiom,( 77.68/10.48 ! [X4,X5] : (~hBOOL(hAPP(c_fequal(X5),X4)) | X4 = X5)), 77.68/10.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 77.68/10.48 77.68/10.48 fof(f720,plain,( 77.68/10.48 ! [X0,X1] : (~hBOOL(hAPP(c_fequal(X1),X0)) | X0 = X1)), 77.68/10.48 inference(rectify,[],[f202])). 77.68/10.48 77.68/10.48 fof(f2174,plain,( 77.68/10.48 ( ! [X0,X1] : (~hBOOL(hAPP(c_fequal(X1),X0)) | X0 = X1) )), 77.68/10.48 inference(cnf_transformation,[],[f720])). 77.68/10.48 77.68/10.48 fof(f3,axiom,( 77.68/10.48 ! [X4,X5] : (hBOOL(hAPP(c_fequal(X5),X4)) | X4 != X5)), 77.68/10.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 77.68/10.48 77.68/10.48 fof(f531,plain,( 77.68/10.48 ! [X0,X1] : (hBOOL(hAPP(c_fequal(X1),X0)) | X0 != X1)), 77.68/10.48 inference(rectify,[],[f3])). 77.68/10.48 77.68/10.48 fof(f1855,plain,( 77.68/10.48 ( ! [X0,X1] : (hBOOL(hAPP(c_fequal(X1),X0)) | X0 != X1) )), 77.68/10.48 inference(cnf_transformation,[],[f531])). 77.68/10.48 77.68/10.48 fof(f2760,plain,( 77.68/10.48 ( ! [X1] : (hBOOL(hAPP(c_fequal(X1),X1))) )), 77.68/10.48 inference(equality_resolution,[],[f1855])). 77.68/10.48 77.68/10.48 fof(f1953,plain,( 77.68/10.48 ( ! [X0,X1] : (v_y != X1 | ~sP4(X0,X1)) )), 77.68/10.48 inference(cnf_transformation,[],[f1557])). 77.68/10.48 77.68/10.48 fof(f2770,plain,( 77.68/10.48 ( ! [X0] : (~sP4(X0,v_y)) )), 77.68/10.48 inference(equality_resolution,[],[f1953])). 77.68/10.48 77.68/10.48 fof(f1977,plain,( 77.68/10.48 v_y != sK14 | sP3(sK15,sK14) | sP4(sK15,sK14) | sP5), 77.68/10.48 inference(cnf_transformation,[],[f1570])). 77.68/10.48 77.68/10.48 fof(f1962,plain,( 77.68/10.48 ( ! [X0,X1] : (v_x = X0 | sP2(sK13(X0),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_x),v_L) | ~sP3(X0,X1)) )), 77.68/10.48 inference(cnf_transformation,[],[f1561])). 77.68/10.48 77.68/10.48 fof(f1963,plain,( 77.68/10.48 ( ! [X0,X1] : (v_y = sK13(X0) | sP2(sK13(X0),X0) | v_y = sK13(X0) | ~sP3(X0,X1)) )), 77.68/10.48 inference(cnf_transformation,[],[f1561])). 77.68/10.48 77.68/10.48 fof(f2105,plain,( 77.68/10.48 ( ! [X2,X0,X1] : (c_member(X2,X1,X0) | ~hBOOL(hAPP(X0,X1))) )), 77.68/10.48 inference(cnf_transformation,[],[f1613])). 77.68/10.48 77.68/10.48 fof(f1967,plain,( 77.68/10.48 ( ! [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_x,X0),v_L) | ~sP2(X0,X1)) )), 77.68/10.48 inference(cnf_transformation,[],[f1563])). 77.68/10.48 77.68/10.48 cnf(c_128,negated_conjecture, 77.68/10.48 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,v_x),v_L) 77.68/10.48 | sP3(sK15,sK14) 77.68/10.48 | sP4(sK15,sK14) 77.68/10.48 | sP5 ), 77.68/10.48 inference(cnf_transformation,[],[f1976]) ). 77.68/10.48 77.68/10.48 cnf(c_22307,plain, 77.68/10.48 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,v_x),v_L) = iProver_top 77.68/10.48 | sP3(sK15,sK14) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_128]) ). 77.68/10.48 77.68/10.48 cnf(c_124,negated_conjecture, 77.68/10.48 ( c_member(tc_prod(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_x,sK16),v_L) 77.68/10.48 | sP3(sK15,sK14) 77.68/10.48 | sP4(sK15,sK14) 77.68/10.48 | sP5 ), 77.68/10.48 inference(cnf_transformation,[],[f1980]) ). 77.68/10.48 77.68/10.48 cnf(c_22311,plain, 77.68/10.48 ( c_member(tc_prod(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_x,sK16),v_L) = iProver_top 77.68/10.48 | sP3(sK15,sK14) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_124]) ). 77.68/10.48 77.68/10.48 cnf(c_718,plain, 77.68/10.48 ( ~ c_member(tc_prod(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) 77.68/10.48 | ~ c_member(tc_prod(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) 77.68/10.48 | c_member(tc_prod(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) ), 77.68/10.48 inference(cnf_transformation,[],[f2573]) ). 77.68/10.48 77.68/10.48 cnf(c_21899,plain, 77.68/10.48 ( c_member(tc_prod(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 77.68/10.48 | c_member(tc_prod(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 77.68/10.48 | c_member(tc_prod(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 ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_718]) ). 77.68/10.48 77.68/10.48 cnf(c_26888,plain, 77.68/10.48 ( c_member(tc_prod(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,sK16),v_L) = iProver_top 77.68/10.48 | c_member(tc_prod(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_x),v_L) != iProver_top 77.68/10.48 | sP3(sK15,sK14) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_22311,c_21899]) ). 77.68/10.48 77.68/10.48 cnf(c_26966,plain, 77.68/10.48 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK16),v_L) = iProver_top 77.68/10.48 | sP3(sK15,sK14) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_22307,c_26888]) ). 77.68/10.48 77.68/10.48 cnf(c_123,negated_conjecture, 77.68/10.48 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK16),v_L) 77.68/10.48 | sP3(sK15,sK14) 77.68/10.48 | sP4(sK15,sK14) 77.68/10.48 | sP5 ), 77.68/10.48 inference(cnf_transformation,[],[f1981]) ). 77.68/10.48 77.68/10.48 cnf(c_843,plain, 77.68/10.48 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK16),v_L) != iProver_top 77.68/10.48 | sP3(sK15,sK14) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_123]) ). 77.68/10.48 77.68/10.48 cnf(c_26981,plain, 77.68/10.48 ( sP3(sK15,sK14) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(global_propositional_subsumption, 77.68/10.48 [status(thm)], 77.68/10.48 [c_26966,c_843]) ). 77.68/10.48 77.68/10.48 cnf(c_109,plain, 77.68/10.48 ( ~ sP3(X0,X1) | v_y = X1 ), 77.68/10.48 inference(cnf_transformation,[],[f1960]) ). 77.68/10.48 77.68/10.48 cnf(c_22326,plain, 77.68/10.48 ( v_y = X0 | sP3(X1,X0) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_109]) ). 77.68/10.48 77.68/10.48 cnf(c_33818,plain, 77.68/10.48 ( sK14 = v_y | sP4(sK15,sK14) = iProver_top | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_26981,c_22326]) ). 77.68/10.48 77.68/10.48 cnf(c_111,plain, 77.68/10.48 ( c_member(tc_prod(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_x,X0),v_L) 77.68/10.48 | ~ sP3(X0,X1) ), 77.68/10.48 inference(cnf_transformation,[],[f1958]) ). 77.68/10.48 77.68/10.48 cnf(c_22324,plain, 77.68/10.48 ( c_member(tc_prod(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_x,X0),v_L) = iProver_top 77.68/10.48 | sP3(X0,X1) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_111]) ). 77.68/10.48 77.68/10.48 cnf(c_39021,plain, 77.68/10.48 ( c_member(tc_prod(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_x,sK15),v_L) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_26981,c_22324]) ). 77.68/10.48 77.68/10.48 cnf(c_717,plain, 77.68/10.48 ( c_member(tc_prod(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) 77.68/10.48 | c_member(tc_prod(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) 77.68/10.48 | X0 = X1 ), 77.68/10.48 inference(cnf_transformation,[],[f2574]) ). 77.68/10.48 77.68/10.48 cnf(c_21900,plain, 77.68/10.48 ( X0 = X1 77.68/10.48 | c_member(tc_prod(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 77.68/10.48 | c_member(tc_prod(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 ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_717]) ). 77.68/10.48 77.68/10.48 cnf(c_27100,plain, 77.68/10.48 ( X0 = X1 77.68/10.48 | c_member(tc_prod(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 77.68/10.48 | c_member(tc_prod(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 77.68/10.48 | c_member(tc_prod(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 ), 77.68/10.48 inference(superposition,[status(thm)],[c_21900,c_21899]) ). 77.68/10.48 77.68/10.48 cnf(c_86372,plain, 77.68/10.48 ( sK15 = X0 77.68/10.48 | c_member(tc_prod(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,sK15),v_L) = iProver_top 77.68/10.48 | c_member(tc_prod(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_x,X0),v_L) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_39021,c_27100]) ). 77.68/10.48 77.68/10.48 cnf(c_113,plain, 77.68/10.48 ( c_member(tc_prod(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) 77.68/10.48 | ~ sP2(X1,X0) ), 77.68/10.48 inference(cnf_transformation,[],[f1966]) ). 77.68/10.48 77.68/10.48 cnf(c_22322,plain, 77.68/10.48 ( c_member(tc_prod(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 77.68/10.48 | sP2(X1,X0) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_113]) ). 77.68/10.48 77.68/10.48 cnf(c_34912,plain, 77.68/10.48 ( c_member(tc_prod(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 77.68/10.48 | c_member(tc_prod(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) = iProver_top 77.68/10.48 | sP2(X2,X1) != iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_22322,c_21899]) ). 77.68/10.48 77.68/10.48 cnf(c_106500,plain, 77.68/10.48 ( sK15 = X0 77.68/10.48 | c_member(tc_prod(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 77.68/10.48 | c_member(tc_prod(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_x,X0),v_L) = iProver_top 77.68/10.48 | sP2(X1,sK15) != iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_86372,c_34912]) ). 77.68/10.48 77.68/10.48 cnf(c_99,plain, 77.68/10.48 ( sP0(X0,sK12(X1,X0),X1) 77.68/10.48 | sP1(X0,X1,sK12(X1,X0)) 77.68/10.48 | ~ c_member(tc_prod(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,sK12(X1,X0)),v_L) 77.68/10.48 | ~ sP4(X1,X0) ), 77.68/10.48 inference(cnf_transformation,[],[f1957]) ). 77.68/10.48 77.68/10.48 cnf(c_22334,plain, 77.68/10.48 ( sP0(X0,sK12(X1,X0),X1) = iProver_top 77.68/10.48 | sP1(X0,X1,sK12(X1,X0)) = iProver_top 77.68/10.48 | c_member(tc_prod(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,sK12(X1,X0)),v_L) != iProver_top 77.68/10.48 | sP4(X1,X0) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_99]) ). 77.68/10.48 77.68/10.48 cnf(c_108013,plain, 77.68/10.48 ( sK15 = X0 77.68/10.48 | sP0(X0,sK12(X1,X0),X1) = iProver_top 77.68/10.48 | sP1(X0,X1,sK12(X1,X0)) = iProver_top 77.68/10.48 | c_member(tc_prod(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_x,X0),v_L) = iProver_top 77.68/10.48 | sP2(sK12(X1,X0),sK15) != iProver_top 77.68/10.48 | sP4(X1,X0) != iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_106500,c_22334]) ). 77.68/10.48 77.68/10.48 cnf(c_102,plain, 77.68/10.48 ( c_member(tc_prod(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) 77.68/10.48 | ~ sP4(X1,X0) ), 77.68/10.48 inference(cnf_transformation,[],[f1954]) ). 77.68/10.48 77.68/10.48 cnf(c_2340,plain, 77.68/10.48 ( c_member(tc_prod(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 77.68/10.48 | sP4(X1,X0) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_102]) ). 77.68/10.48 77.68/10.48 cnf(c_101,plain, 77.68/10.48 ( sP0(X0,sK12(X1,X0),X1) 77.68/10.48 | sP1(X0,X1,sK12(X1,X0)) 77.68/10.48 | c_member(tc_prod(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,sK12(X1,X0)),v_L) 77.68/10.48 | ~ sP4(X1,X0) ), 77.68/10.48 inference(cnf_transformation,[],[f1955]) ). 77.68/10.48 77.68/10.48 cnf(c_22332,plain, 77.68/10.48 ( sP0(X0,sK12(X1,X0),X1) = iProver_top 77.68/10.48 | sP1(X0,X1,sK12(X1,X0)) = iProver_top 77.68/10.48 | c_member(tc_prod(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,sK12(X1,X0)),v_L) = iProver_top 77.68/10.48 | sP4(X1,X0) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_101]) ). 77.68/10.48 77.68/10.48 cnf(c_49750,plain, 77.68/10.48 ( sP0(X0,sK12(X1,X0),X1) = iProver_top 77.68/10.48 | sP1(X0,X1,sK12(X1,X0)) = iProver_top 77.68/10.48 | c_member(tc_prod(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 77.68/10.48 | c_member(tc_prod(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,sK12(X1,X0)),v_L) = iProver_top 77.68/10.48 | sP4(X1,X0) != iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_22332,c_21899]) ). 77.68/10.48 77.68/10.48 cnf(c_138724,plain, 77.68/10.48 ( sP0(X0,sK12(X1,X0),X1) = iProver_top 77.68/10.48 | sP1(X0,X1,sK12(X1,X0)) = iProver_top 77.68/10.48 | c_member(tc_prod(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 77.68/10.48 | sP4(X1,X0) != iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_49750,c_22334]) ). 77.68/10.48 77.68/10.48 cnf(c_140109,plain, 77.68/10.48 ( sP0(X0,sK12(X1,X0),X1) = iProver_top 77.68/10.48 | sP1(X0,X1,sK12(X1,X0)) = iProver_top 77.68/10.48 | sP4(X1,X0) != iProver_top ), 77.68/10.48 inference(global_propositional_subsumption, 77.68/10.48 [status(thm)], 77.68/10.48 [c_108013,c_2340,c_138724]) ). 77.68/10.48 77.68/10.48 cnf(c_119,plain, 77.68/10.48 ( ~ sP0(X0,X1,X2) 77.68/10.48 | ~ c_member(tc_prod(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_x),v_L) ), 77.68/10.48 inference(cnf_transformation,[],[f1975]) ). 77.68/10.48 77.68/10.48 cnf(c_22316,plain, 77.68/10.48 ( sP0(X0,X1,X2) != iProver_top 77.68/10.48 | c_member(tc_prod(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_x),v_L) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_119]) ). 77.68/10.48 77.68/10.48 cnf(c_32450,plain, 77.68/10.48 ( v_x = X0 77.68/10.48 | sP0(X0,X1,X2) != iProver_top 77.68/10.48 | c_member(tc_prod(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_x,X0),v_L) = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_21900,c_22316]) ). 77.68/10.48 77.68/10.48 cnf(c_140119,plain, 77.68/10.48 ( v_x = X0 77.68/10.48 | sP1(X0,X1,sK12(X1,X0)) = iProver_top 77.68/10.48 | c_member(tc_prod(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_x,X0),v_L) = iProver_top 77.68/10.48 | sP4(X1,X0) != iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_140109,c_32450]) ). 77.68/10.48 77.68/10.48 cnf(c_116,plain, 77.68/10.48 ( ~ sP1(X0,X1,X2) 77.68/10.48 | ~ c_member(tc_prod(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_x),v_L) ), 77.68/10.48 inference(cnf_transformation,[],[f1970]) ). 77.68/10.48 77.68/10.48 cnf(c_22319,plain, 77.68/10.48 ( sP1(X0,X1,X2) != iProver_top 77.68/10.48 | c_member(tc_prod(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_x),v_L) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_116]) ). 77.68/10.48 77.68/10.48 cnf(c_34046,plain, 77.68/10.48 ( v_x = X0 77.68/10.48 | sP1(X0,X1,X2) != iProver_top 77.68/10.48 | c_member(tc_prod(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_x,X0),v_L) = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_21900,c_22319]) ). 77.68/10.48 77.68/10.48 cnf(c_198913,plain, 77.68/10.48 ( v_x = X0 77.68/10.48 | c_member(tc_prod(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_x,X0),v_L) = iProver_top 77.68/10.48 | sP4(X1,X0) != iProver_top ), 77.68/10.48 inference(forward_subsumption_resolution, 77.68/10.48 [status(thm)], 77.68/10.48 [c_140119,c_34046]) ). 77.68/10.48 77.68/10.48 cnf(c_198924,plain, 77.68/10.48 ( sK14 = v_x 77.68/10.48 | sK14 = v_y 77.68/10.48 | c_member(tc_prod(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_x,sK14),v_L) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_33818,c_198913]) ). 77.68/10.48 77.68/10.48 cnf(c_27103,plain, 77.68/10.48 ( X0 = X1 77.68/10.48 | c_member(tc_prod(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 77.68/10.48 | c_member(tc_prod(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 77.68/10.48 | c_member(tc_prod(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 ), 77.68/10.48 inference(superposition,[status(thm)],[c_21900,c_21899]) ). 77.68/10.48 77.68/10.48 cnf(c_199058,plain, 77.68/10.48 ( sK14 = X0 77.68/10.48 | sK14 = v_x 77.68/10.48 | sK14 = v_y 77.68/10.48 | c_member(tc_prod(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,sK14),v_L) = iProver_top 77.68/10.48 | c_member(tc_prod(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_x,X0),v_L) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_198924,c_27103]) ). 77.68/10.48 77.68/10.48 cnf(c_251,plain, 77.68/10.48 ( ~ c_member(X0,X1,X2) | hBOOL(hAPP(X2,X1)) ), 77.68/10.48 inference(cnf_transformation,[],[f2104]) ). 77.68/10.48 77.68/10.48 cnf(c_22217,plain, 77.68/10.48 ( c_member(X0,X1,X2) != iProver_top 77.68/10.48 | hBOOL(hAPP(X2,X1)) = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_251]) ). 77.68/10.48 77.68/10.48 cnf(c_201150,plain, 77.68/10.48 ( sK14 = X0 77.68/10.48 | sK14 = v_x 77.68/10.48 | sK14 = v_y 77.68/10.48 | c_member(tc_prod(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,sK14),v_L) = iProver_top 77.68/10.48 | hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0))) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_199058,c_22217]) ). 77.68/10.48 77.68/10.48 cnf(c_98,plain, 77.68/10.48 ( ~ sP5 | sK10 != sK11 ), 77.68/10.48 inference(cnf_transformation,[],[f1943]) ). 77.68/10.48 77.68/10.48 cnf(c_2352,plain, 77.68/10.48 ( sK10 != sK11 | sP5 != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_98]) ). 77.68/10.48 77.68/10.48 cnf(c_32423,plain, 77.68/10.48 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK15),v_L) 77.68/10.48 | ~ sP4(sK15,sK14) ), 77.68/10.48 inference(instantiation,[status(thm)],[c_102]) ). 77.68/10.48 77.68/10.48 cnf(c_32424,plain, 77.68/10.48 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK15),v_L) = iProver_top 77.68/10.48 | sP4(sK15,sK14) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_32423]) ). 77.68/10.48 77.68/10.48 cnf(c_44984,plain, 77.68/10.48 ( sP0(sK14,sK12(sK15,sK14),sK15) 77.68/10.48 | sP1(sK14,sK15,sK12(sK15,sK14)) 77.68/10.48 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK12(sK15,sK14)),v_L) 77.68/10.48 | ~ sP4(sK15,sK14) ), 77.68/10.48 inference(instantiation,[status(thm)],[c_99]) ). 77.68/10.48 77.68/10.48 cnf(c_44985,plain, 77.68/10.48 ( sP0(sK14,sK12(sK15,sK14),sK15) = iProver_top 77.68/10.48 | sP1(sK14,sK15,sK12(sK15,sK14)) = iProver_top 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK12(sK15,sK14)),v_L) != iProver_top 77.68/10.48 | sP4(sK15,sK14) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_44984]) ). 77.68/10.48 77.68/10.48 cnf(c_44987,plain, 77.68/10.48 ( sP0(sK14,sK12(sK15,sK14),sK15) 77.68/10.48 | sP1(sK14,sK15,sK12(sK15,sK14)) 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,sK12(sK15,sK14)),v_L) 77.68/10.48 | ~ sP4(sK15,sK14) ), 77.68/10.48 inference(instantiation,[status(thm)],[c_101]) ). 77.68/10.48 77.68/10.48 cnf(c_44988,plain, 77.68/10.48 ( sP0(sK14,sK12(sK15,sK14),sK15) = iProver_top 77.68/10.48 | sP1(sK14,sK15,sK12(sK15,sK14)) = iProver_top 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,sK12(sK15,sK14)),v_L) = iProver_top 77.68/10.48 | sP4(sK15,sK14) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_44987]) ). 77.68/10.48 77.68/10.48 cnf(c_96,plain, 77.68/10.48 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L) 77.68/10.48 | ~ sP5 77.68/10.48 | sK10 = v_y 77.68/10.48 | sK11 = v_y ), 77.68/10.48 inference(cnf_transformation,[],[f1945]) ). 77.68/10.48 77.68/10.48 cnf(c_22337,plain, 77.68/10.48 ( sK10 = v_y 77.68/10.48 | sK11 = v_y 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L) != iProver_top 77.68/10.48 | sP5 != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_96]) ). 77.68/10.48 77.68/10.48 cnf(c_2354,plain, 77.68/10.48 ( sK10 = v_y 77.68/10.48 | sK11 = v_y 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L) != iProver_top 77.68/10.48 | sP5 != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_96]) ). 77.68/10.48 77.68/10.48 cnf(c_94,plain, 77.68/10.48 ( ~ sP5 | sK10 != v_y | v_x != sK11 ), 77.68/10.48 inference(cnf_transformation,[],[f1947]) ). 77.68/10.48 77.68/10.48 cnf(c_2356,plain, 77.68/10.48 ( sK10 != v_y | v_x != sK11 | sP5 != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_94]) ). 77.68/10.48 77.68/10.48 cnf(c_92,plain, 77.68/10.48 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,v_x),v_L) 77.68/10.48 | ~ sP5 77.68/10.48 | sK10 != v_y 77.68/10.48 | sK11 = v_y ), 77.68/10.48 inference(cnf_transformation,[],[f1949]) ). 77.68/10.48 77.68/10.48 cnf(c_2358,plain, 77.68/10.48 ( sK10 != v_y 77.68/10.48 | sK11 = v_y 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,v_x),v_L) != iProver_top 77.68/10.48 | sP5 != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_92]) ). 77.68/10.48 77.68/10.48 cnf(c_90,plain, 77.68/10.48 ( ~ c_member(tc_prod(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_x,sK11),v_L) 77.68/10.48 | ~ sP5 77.68/10.48 | sK10 != v_y 77.68/10.48 | sK11 = v_y ), 77.68/10.48 inference(cnf_transformation,[],[f1951]) ). 77.68/10.48 77.68/10.48 cnf(c_2360,plain, 77.68/10.48 ( sK10 != v_y 77.68/10.48 | sK11 = v_y 77.68/10.48 | c_member(tc_prod(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_x,sK11),v_L) != iProver_top 77.68/10.48 | sP5 != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_90]) ). 77.68/10.48 77.68/10.48 cnf(c_27272,plain, 77.68/10.48 ( c_member(tc_prod(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_x,sK11),v_L) 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,v_x),v_L) 77.68/10.48 | v_x = sK11 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_717]) ). 77.68/10.48 77.68/10.48 cnf(c_27273,plain, 77.68/10.48 ( v_x = sK11 77.68/10.48 | c_member(tc_prod(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_x,sK11),v_L) = iProver_top 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,v_x),v_L) = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_27272]) ). 77.68/10.48 77.68/10.48 cnf(c_61369,plain, 77.68/10.48 ( sK11 = v_y 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L) != iProver_top 77.68/10.48 | sP5 != iProver_top ), 77.68/10.48 inference(global_propositional_subsumption, 77.68/10.48 [status(thm)], 77.68/10.48 [c_22337,c_2354,c_2356,c_2358,c_2360,c_27273]) ). 77.68/10.48 77.68/10.48 cnf(c_91,plain, 77.68/10.48 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK10),v_L) 77.68/10.48 | ~ sP5 77.68/10.48 | sK10 = v_y 77.68/10.48 | sK11 = v_y ), 77.68/10.48 inference(cnf_transformation,[],[f1950]) ). 77.68/10.48 77.68/10.48 cnf(c_2359,plain, 77.68/10.48 ( sK10 = v_y 77.68/10.48 | sK11 = v_y 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK10),v_L) != iProver_top 77.68/10.48 | sP5 != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_91]) ). 77.68/10.48 77.68/10.48 cnf(c_27275,plain, 77.68/10.48 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L) 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK10),v_L) 77.68/10.48 | sK10 = sK11 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_717]) ). 77.68/10.48 77.68/10.48 cnf(c_27276,plain, 77.68/10.48 ( sK10 = sK11 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L) = iProver_top 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK10),v_L) = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_27275]) ). 77.68/10.48 77.68/10.48 cnf(c_61373,plain, 77.68/10.48 ( sK11 = v_y | sP5 != iProver_top ), 77.68/10.48 inference(global_propositional_subsumption, 77.68/10.48 [status(thm)], 77.68/10.48 [c_61369,c_2352,c_2356,c_2358,c_2359,c_2360,c_27273, 77.68/10.48 c_27276]) ). 77.68/10.48 77.68/10.48 cnf(c_95,plain, 77.68/10.48 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L) 77.68/10.48 | ~ sP5 77.68/10.48 | sK10 = v_y 77.68/10.48 | sK11 != v_y ), 77.68/10.48 inference(cnf_transformation,[],[f1946]) ). 77.68/10.48 77.68/10.48 cnf(c_22338,plain, 77.68/10.48 ( sK10 = v_y 77.68/10.48 | sK11 != v_y 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L) != iProver_top 77.68/10.48 | sP5 != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_95]) ). 77.68/10.48 77.68/10.48 cnf(c_97,plain, 77.68/10.48 ( ~ sP5 | sK10 != v_x | sK11 != v_y ), 77.68/10.48 inference(cnf_transformation,[],[f1944]) ). 77.68/10.48 77.68/10.48 cnf(c_2353,plain, 77.68/10.48 ( sK10 != v_x | sK11 != v_y | sP5 != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_97]) ). 77.68/10.48 77.68/10.48 cnf(c_2355,plain, 77.68/10.48 ( sK10 = v_y 77.68/10.48 | sK11 != v_y 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L) != iProver_top 77.68/10.48 | sP5 != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_95]) ). 77.68/10.48 77.68/10.48 cnf(c_93,plain, 77.68/10.48 ( ~ c_member(tc_prod(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_x,sK10),v_L) 77.68/10.48 | ~ sP5 77.68/10.48 | sK10 = v_y 77.68/10.48 | sK11 != v_y ), 77.68/10.48 inference(cnf_transformation,[],[f1948]) ). 77.68/10.48 77.68/10.48 cnf(c_2357,plain, 77.68/10.48 ( sK10 = v_y 77.68/10.48 | sK11 != v_y 77.68/10.48 | c_member(tc_prod(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_x,sK10),v_L) != iProver_top 77.68/10.48 | sP5 != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_93]) ). 77.68/10.48 77.68/10.48 cnf(c_47533,plain, 77.68/10.48 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L) 77.68/10.48 | c_member(tc_prod(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_x,sK10),v_L) 77.68/10.48 | sK10 = v_x ), 77.68/10.48 inference(instantiation,[status(thm)],[c_717]) ). 77.68/10.48 77.68/10.48 cnf(c_47539,plain, 77.68/10.48 ( sK10 = v_x 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L) = iProver_top 77.68/10.48 | c_member(tc_prod(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_x,sK10),v_L) = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_47533]) ). 77.68/10.48 77.68/10.48 cnf(c_65052,plain, 77.68/10.48 ( sK10 = v_y | sP5 != iProver_top ), 77.68/10.48 inference(global_propositional_subsumption, 77.68/10.48 [status(thm)], 77.68/10.48 [c_22338,c_2353,c_2355,c_2357,c_47539,c_61373]) ). 77.68/10.48 77.68/10.48 cnf(c_122,plain, 77.68/10.48 ( ~ sP0(X0,X1,X2) 77.68/10.48 | c_member(tc_prod(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_x),v_L) ), 77.68/10.48 inference(cnf_transformation,[],[f1972]) ). 77.68/10.48 77.68/10.48 cnf(c_73636,plain, 77.68/10.48 ( ~ sP0(sK14,sK12(sK15,sK14),sK15) 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,v_x),v_L) ), 77.68/10.48 inference(instantiation,[status(thm)],[c_122]) ). 77.68/10.48 77.68/10.48 cnf(c_73640,plain, 77.68/10.48 ( sP0(sK14,sK12(sK15,sK14),sK15) != iProver_top 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,v_x),v_L) = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_73636]) ). 77.68/10.48 77.68/10.48 cnf(c_10865,plain,( X0 = X0 ),theory(equality) ). 77.68/10.48 77.68/10.48 cnf(c_73909,plain, 77.68/10.48 ( sK14 = sK14 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_10865]) ). 77.68/10.48 77.68/10.48 cnf(c_117,plain, 77.68/10.48 ( ~ sP1(X0,X1,X2) | v_x = X1 ), 77.68/10.48 inference(cnf_transformation,[],[f1969]) ). 77.68/10.48 77.68/10.48 cnf(c_80186,plain, 77.68/10.48 ( ~ sP1(sK14,sK15,sK12(sK15,sK14)) | v_x = sK15 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_117]) ). 77.68/10.48 77.68/10.48 cnf(c_80187,plain, 77.68/10.48 ( v_x = sK15 | sP1(sK14,sK15,sK12(sK15,sK14)) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_80186]) ). 77.68/10.48 77.68/10.48 cnf(c_10905,plain, 77.68/10.48 ( ~ sP4(X0,X1) | sP4(X2,X3) | X2 != X0 | X3 != X1 ), 77.68/10.48 theory(equality) ). 77.68/10.48 77.68/10.48 cnf(c_32428,plain, 77.68/10.48 ( sP4(X0,X1) | ~ sP4(sK15,sK14) | X0 != sK15 | X1 != sK14 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_10905]) ). 77.68/10.48 77.68/10.48 cnf(c_73908,plain, 77.68/10.48 ( sP4(X0,sK14) | ~ sP4(sK15,sK14) | X0 != sK15 | sK14 != sK14 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_32428]) ). 77.68/10.48 77.68/10.48 cnf(c_87746,plain, 77.68/10.48 ( ~ sP4(sK15,sK14) | sP4(v_x,sK14) | sK14 != sK14 | v_x != sK15 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_73908]) ). 77.68/10.48 77.68/10.48 cnf(c_87749,plain, 77.68/10.48 ( sK14 != sK14 77.68/10.48 | v_x != sK15 77.68/10.48 | sP4(sK15,sK14) != iProver_top 77.68/10.48 | sP4(v_x,sK14) = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_87746]) ). 77.68/10.48 77.68/10.48 cnf(c_716,plain, 77.68/10.48 ( ~ c_member(tc_prod(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) ), 77.68/10.48 inference(cnf_transformation,[],[f2575]) ). 77.68/10.48 77.68/10.48 cnf(c_126354,plain, 77.68/10.48 ( ~ c_member(tc_prod(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_x,v_x),v_L) ), 77.68/10.48 inference(instantiation,[status(thm)],[c_716]) ). 77.68/10.48 77.68/10.48 cnf(c_126355,plain, 77.68/10.48 ( c_member(tc_prod(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_x,v_x),v_L) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_126354]) ). 77.68/10.48 77.68/10.48 cnf(c_22331,plain, 77.68/10.48 ( c_member(tc_prod(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 77.68/10.48 | sP4(X1,X0) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_102]) ). 77.68/10.48 77.68/10.48 cnf(c_46977,plain, 77.68/10.48 ( sP0(X0,X1,X2) != iProver_top | sP4(v_x,X0) != iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_22331,c_22316]) ). 77.68/10.48 77.68/10.48 cnf(c_140117,plain, 77.68/10.48 ( sP1(X0,X1,sK12(X1,X0)) = iProver_top 77.68/10.48 | sP4(X1,X0) != iProver_top 77.68/10.48 | sP4(v_x,X0) != iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_140109,c_46977]) ). 77.68/10.48 77.68/10.48 cnf(c_46976,plain, 77.68/10.48 ( sP1(X0,X1,X2) != iProver_top | sP4(v_x,X0) != iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_22331,c_22319]) ). 77.68/10.48 77.68/10.48 cnf(c_177859,plain, 77.68/10.48 ( sP4(X0,X1) != iProver_top | sP4(v_x,X1) != iProver_top ), 77.68/10.48 inference(forward_subsumption_resolution, 77.68/10.48 [status(thm)], 77.68/10.48 [c_140117,c_46976]) ). 77.68/10.48 77.68/10.48 cnf(c_177870,plain, 77.68/10.48 ( sK14 = v_y | sP4(v_x,sK14) != iProver_top | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_33818,c_177859]) ). 77.68/10.48 77.68/10.48 cnf(c_80822,plain, 77.68/10.48 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,X0),v_L) 77.68/10.48 | c_member(tc_prod(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_x,X0),v_L) 77.68/10.48 | ~ c_member(tc_prod(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_x,sK15),v_L) ), 77.68/10.48 inference(instantiation,[status(thm)],[c_718]) ). 77.68/10.48 77.68/10.48 cnf(c_187507,plain, 77.68/10.48 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,v_x),v_L) 77.68/10.48 | ~ c_member(tc_prod(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_x,sK15),v_L) 77.68/10.48 | c_member(tc_prod(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_x,v_x),v_L) ), 77.68/10.48 inference(instantiation,[status(thm)],[c_80822]) ). 77.68/10.48 77.68/10.48 cnf(c_187508,plain, 77.68/10.48 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,v_x),v_L) != iProver_top 77.68/10.48 | c_member(tc_prod(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_x,sK15),v_L) != iProver_top 77.68/10.48 | c_member(tc_prod(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_x,v_x),v_L) = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_187507]) ). 77.68/10.48 77.68/10.48 cnf(c_73661,plain, 77.68/10.48 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,X0),v_L) 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,X0),v_L) 77.68/10.48 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK15),v_L) ), 77.68/10.48 inference(instantiation,[status(thm)],[c_718]) ). 77.68/10.48 77.68/10.48 cnf(c_195876,plain, 77.68/10.48 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,sK12(sK15,sK14)),v_L) 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK12(sK15,sK14)),v_L) 77.68/10.48 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK15),v_L) ), 77.68/10.48 inference(instantiation,[status(thm)],[c_73661]) ). 77.68/10.48 77.68/10.48 cnf(c_195878,plain, 77.68/10.48 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,sK12(sK15,sK14)),v_L) != iProver_top 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK12(sK15,sK14)),v_L) = iProver_top 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK15),v_L) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_195876]) ). 77.68/10.48 77.68/10.48 cnf(c_10866,plain,( X0 != X1 | X2 != X1 | X2 = X0 ),theory(equality) ). 77.68/10.48 77.68/10.48 cnf(c_202761,plain, 77.68/10.48 ( sK10 != X0 | sK10 = sK11 | sK11 != X0 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_10866]) ). 77.68/10.48 77.68/10.48 cnf(c_213534,plain, 77.68/10.48 ( sK10 = sK11 | sK10 != v_y | sK11 != v_y ), 77.68/10.48 inference(instantiation,[status(thm)],[c_202761]) ). 77.68/10.48 77.68/10.48 cnf(c_46973,plain, 77.68/10.48 ( c_member(tc_prod(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 77.68/10.48 | c_member(tc_prod(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) = iProver_top 77.68/10.48 | sP4(X2,X1) != iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_22331,c_21899]) ). 77.68/10.48 77.68/10.48 cnf(c_199035,plain, 77.68/10.48 ( sK14 = v_x 77.68/10.48 | sK14 = v_y 77.68/10.48 | c_member(tc_prod(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_x,X0),v_L) = iProver_top 77.68/10.48 | sP4(X0,sK14) != iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_198924,c_46973]) ). 77.68/10.48 77.68/10.48 cnf(c_39671,plain, 77.68/10.48 ( c_member(tc_prod(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,sK15),v_L) = iProver_top 77.68/10.48 | c_member(tc_prod(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_x),v_L) != iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_39021,c_21899]) ). 77.68/10.48 77.68/10.48 cnf(c_40145,plain, 77.68/10.48 ( c_member(tc_prod(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,sK15),v_L) = iProver_top 77.68/10.48 | sP2(v_x,X0) != iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_22322,c_39671]) ). 77.68/10.48 77.68/10.48 cnf(c_40313,plain, 77.68/10.48 ( c_member(tc_prod(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 77.68/10.48 | c_member(tc_prod(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,sK15),v_L) = iProver_top 77.68/10.48 | sP2(v_x,X1) != iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_40145,c_21899]) ). 77.68/10.48 77.68/10.48 cnf(c_200033,plain, 77.68/10.48 ( sK14 = v_x 77.68/10.48 | sK14 = v_y 77.68/10.48 | c_member(tc_prod(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_x,sK15),v_L) = iProver_top 77.68/10.48 | sP2(v_x,X0) != iProver_top 77.68/10.48 | sP4(X0,sK14) != iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_199035,c_40313]) ). 77.68/10.48 77.68/10.48 cnf(c_200459,plain, 77.68/10.48 ( sK14 = v_x 77.68/10.48 | sK14 = v_y 77.68/10.48 | c_member(tc_prod(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_x,sK15),v_L) = iProver_top 77.68/10.48 | sP2(v_x,X0) != iProver_top 77.68/10.48 | sP4(X0,sK14) != iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(forward_subsumption_resolution, 77.68/10.48 [status(thm)], 77.68/10.48 [c_200033,c_199035]) ). 77.68/10.48 77.68/10.48 cnf(c_320,plain, 77.68/10.48 ( ~ hBOOL(hAPP(c_fequal(X0),X1)) | X1 = X0 ), 77.68/10.48 inference(cnf_transformation,[],[f2174]) ). 77.68/10.48 77.68/10.48 cnf(c_33564,plain, 77.68/10.48 ( ~ hBOOL(hAPP(c_fequal(X0),v_y)) | v_y = X0 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_320]) ). 77.68/10.48 77.68/10.48 cnf(c_54020,plain, 77.68/10.48 ( ~ hBOOL(hAPP(c_fequal(v_y),v_y)) | v_y = v_y ), 77.68/10.48 inference(instantiation,[status(thm)],[c_33564]) ). 77.68/10.48 77.68/10.48 cnf(c_4,plain, 77.68/10.48 ( hBOOL(hAPP(c_fequal(X0),X0)) ), 77.68/10.48 inference(cnf_transformation,[],[f2760]) ). 77.68/10.48 77.68/10.48 cnf(c_54021,plain, 77.68/10.48 ( hBOOL(hAPP(c_fequal(v_y),v_y)) ), 77.68/10.48 inference(instantiation,[status(thm)],[c_4]) ). 77.68/10.48 77.68/10.48 cnf(c_76385,plain, 77.68/10.48 ( sK15 = sK15 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_10865]) ). 77.68/10.48 77.68/10.48 cnf(c_33632,plain, 77.68/10.48 ( X0 != X1 | v_y != X1 | v_y = X0 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_10866]) ). 77.68/10.48 77.68/10.48 cnf(c_74691,plain, 77.68/10.48 ( sK14 != X0 | v_y != X0 | v_y = sK14 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_33632]) ). 77.68/10.48 77.68/10.48 cnf(c_88019,plain, 77.68/10.48 ( sK14 != v_y | v_y = sK14 | v_y != v_y ), 77.68/10.48 inference(instantiation,[status(thm)],[c_74691]) ). 77.68/10.48 77.68/10.48 cnf(c_76384,plain, 77.68/10.48 ( sP4(sK15,X0) | ~ sP4(sK15,sK14) | X0 != sK14 | sK15 != sK15 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_32428]) ). 77.68/10.48 77.68/10.48 cnf(c_88060,plain, 77.68/10.48 ( ~ sP4(sK15,sK14) | sP4(sK15,v_y) | sK15 != sK15 | v_y != sK14 ), 77.68/10.48 inference(instantiation,[status(thm)],[c_76384]) ). 77.68/10.48 77.68/10.48 cnf(c_88062,plain, 77.68/10.48 ( sK15 != sK15 77.68/10.48 | v_y != sK14 77.68/10.48 | sP4(sK15,sK14) != iProver_top 77.68/10.48 | sP4(sK15,v_y) = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_88060]) ). 77.68/10.48 77.68/10.48 cnf(c_103,plain, 77.68/10.48 ( ~ sP4(X0,v_y) ), 77.68/10.48 inference(cnf_transformation,[],[f2770]) ). 77.68/10.48 77.68/10.48 cnf(c_88061,plain, 77.68/10.48 ( ~ sP4(sK15,v_y) ), 77.68/10.48 inference(instantiation,[status(thm)],[c_103]) ). 77.68/10.48 77.68/10.48 cnf(c_88064,plain, 77.68/10.48 ( sP4(sK15,v_y) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_88061]) ). 77.68/10.48 77.68/10.48 cnf(c_139512,plain, 77.68/10.48 ( ~ sP0(sK14,sK12(sK15,sK14),sK15) 77.68/10.48 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,v_x),v_L) ), 77.68/10.48 inference(instantiation,[status(thm)],[c_119]) ). 77.68/10.48 77.68/10.48 cnf(c_139513,plain, 77.68/10.48 ( sP0(sK14,sK12(sK15,sK14),sK15) != iProver_top 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,v_x),v_L) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_139512]) ). 77.68/10.48 77.68/10.48 cnf(c_185744,plain, 77.68/10.48 ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,v_x),v_L) 77.68/10.48 | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK15),v_L) 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,v_x),v_L) ), 77.68/10.48 inference(instantiation,[status(thm)],[c_73661]) ). 77.68/10.48 77.68/10.48 cnf(c_185746,plain, 77.68/10.48 ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,v_x),v_L) != iProver_top 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,sK15),v_L) != iProver_top 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK14,v_x),v_L) = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_185744]) ). 77.68/10.48 77.68/10.48 cnf(c_220448,plain, 77.68/10.48 ( c_member(tc_prod(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_x,sK15),v_L) = iProver_top ), 77.68/10.48 inference(global_propositional_subsumption, 77.68/10.48 [status(thm)], 77.68/10.48 [c_200459,c_2352,c_32424,c_33818,c_39021,c_44985,c_44988, 77.68/10.48 c_54020,c_54021,c_61373,c_65052,c_73640,c_73909,c_76385, 77.68/10.48 c_80187,c_87749,c_88019,c_88062,c_88064,c_139513, 77.68/10.48 c_177870,c_185746,c_195878,c_213534]) ). 77.68/10.48 77.68/10.48 cnf(c_223609,plain, 77.68/10.48 ( sK14 = v_y | sP5 = iProver_top ), 77.68/10.48 inference(global_propositional_subsumption, 77.68/10.48 [status(thm)], 77.68/10.48 [c_201150,c_2352,c_32424,c_33818,c_44985,c_44988,c_54020, 77.68/10.48 c_54021,c_61373,c_65052,c_73640,c_73909,c_76385,c_80187, 77.68/10.48 c_87749,c_88019,c_88062,c_88064,c_139513,c_177870, 77.68/10.48 c_185746,c_195878,c_213534]) ). 77.68/10.48 77.68/10.48 cnf(c_223613,plain, 77.68/10.48 ( sK14 = v_y ), 77.68/10.48 inference(global_propositional_subsumption, 77.68/10.48 [status(thm)], 77.68/10.48 [c_223609,c_2352,c_32424,c_33818,c_44985,c_44988,c_54020, 77.68/10.48 c_54021,c_61373,c_65052,c_73640,c_73909,c_76385,c_80187, 77.68/10.48 c_87749,c_88019,c_88062,c_88064,c_139513,c_177870, 77.68/10.48 c_185746,c_195878,c_213534]) ). 77.68/10.48 77.68/10.48 cnf(c_127,negated_conjecture, 77.68/10.48 ( sP3(sK15,sK14) | sP4(sK15,sK14) | sP5 | v_y != sK14 ), 77.68/10.48 inference(cnf_transformation,[],[f1977]) ). 77.68/10.48 77.68/10.48 cnf(c_22308,plain, 77.68/10.48 ( v_y != sK14 77.68/10.48 | sP3(sK15,sK14) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_127]) ). 77.68/10.48 77.68/10.48 cnf(c_223892,plain, 77.68/10.48 ( v_y != v_y 77.68/10.48 | sP3(sK15,v_y) = iProver_top 77.68/10.48 | sP4(sK15,v_y) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(demodulation,[status(thm)],[c_223613,c_22308]) ). 77.68/10.48 77.68/10.48 cnf(c_223902,plain, 77.68/10.48 ( sP3(sK15,v_y) = iProver_top 77.68/10.48 | sP4(sK15,v_y) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(equality_resolution_simp,[status(thm)],[c_223892]) ). 77.68/10.48 77.68/10.48 cnf(c_226847,plain, 77.68/10.48 ( sP3(sK15,v_y) = iProver_top ), 77.68/10.48 inference(global_propositional_subsumption, 77.68/10.48 [status(thm)], 77.68/10.48 [c_223902,c_2352,c_61373,c_65052,c_88064,c_213534]) ). 77.68/10.48 77.68/10.48 cnf(c_107,plain, 77.68/10.48 ( c_member(tc_prod(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_x),v_L) 77.68/10.48 | ~ sP3(X0,X1) 77.68/10.48 | sP2(sK13(X0),X0) 77.68/10.48 | v_x = X0 ), 77.68/10.48 inference(cnf_transformation,[],[f1962]) ). 77.68/10.48 77.68/10.48 cnf(c_22327,plain, 77.68/10.48 ( v_x = X0 77.68/10.48 | c_member(tc_prod(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_x),v_L) = iProver_top 77.68/10.48 | sP3(X0,X1) != iProver_top 77.68/10.48 | sP2(sK13(X0),X0) = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_107]) ). 77.68/10.48 77.68/10.48 cnf(c_226854,plain, 77.68/10.48 ( sK15 = v_x 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,v_x),v_L) = iProver_top 77.68/10.48 | sP2(sK13(sK15),sK15) = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_226847,c_22327]) ). 77.68/10.48 77.68/10.48 cnf(c_106,plain, 77.68/10.48 ( ~ sP3(X0,X1) | sP2(sK13(X0),X0) | sK13(X0) = v_y ), 77.68/10.48 inference(cnf_transformation,[],[f1963]) ). 77.68/10.48 77.68/10.48 cnf(c_22328,plain, 77.68/10.48 ( sK13(X0) = v_y 77.68/10.48 | sP3(X0,X1) != iProver_top 77.68/10.48 | sP2(sK13(X0),X0) = iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_106]) ). 77.68/10.48 77.68/10.48 cnf(c_43028,plain, 77.68/10.48 ( sK13(sK15) = v_y 77.68/10.48 | sP2(sK13(sK15),sK15) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_26981,c_22328]) ). 77.68/10.48 77.68/10.48 cnf(c_100964,plain, 77.68/10.48 ( sP4(sK15,sK14) = iProver_top 77.68/10.48 | hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK15))) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_39021,c_22217]) ). 77.68/10.48 77.68/10.48 cnf(c_250,plain, 77.68/10.48 ( c_member(X0,X1,X2) | ~ hBOOL(hAPP(X2,X1)) ), 77.68/10.48 inference(cnf_transformation,[],[f2105]) ). 77.68/10.48 77.68/10.48 cnf(c_22218,plain, 77.68/10.48 ( c_member(X0,X1,X2) = iProver_top 77.68/10.48 | hBOOL(hAPP(X2,X1)) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_250]) ). 77.68/10.48 77.68/10.48 cnf(c_102686,plain, 77.68/10.48 ( c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK15),v_L) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_100964,c_22218]) ). 77.68/10.48 77.68/10.48 cnf(c_106539,plain, 77.68/10.48 ( c_member(tc_prod(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_x,X0),v_L) = iProver_top 77.68/10.48 | sP2(X0,sK15) != iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_102686,c_34912]) ). 77.68/10.48 77.68/10.48 cnf(c_112,plain, 77.68/10.48 ( ~ c_member(tc_prod(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_x,X0),v_L) 77.68/10.48 | ~ sP2(X0,X1) ), 77.68/10.48 inference(cnf_transformation,[],[f1967]) ). 77.68/10.48 77.68/10.48 cnf(c_22323,plain, 77.68/10.48 ( c_member(tc_prod(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_x,X0),v_L) != iProver_top 77.68/10.48 | sP2(X0,X1) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_112]) ). 77.68/10.48 77.68/10.48 cnf(c_108690,plain, 77.68/10.48 ( sP2(X0,sK15) != iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(forward_subsumption_resolution, 77.68/10.48 [status(thm)], 77.68/10.48 [c_106539,c_22323]) ). 77.68/10.48 77.68/10.48 cnf(c_108694,plain, 77.68/10.48 ( sK13(sK15) = v_y 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_43028,c_108690]) ). 77.68/10.48 77.68/10.48 cnf(c_198916,plain, 77.68/10.48 ( sK13(sK15) = v_y 77.68/10.48 | sK14 = v_x 77.68/10.48 | c_member(tc_prod(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_x,sK14),v_L) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_108694,c_198913]) ). 77.68/10.48 77.68/10.48 cnf(c_199789,plain, 77.68/10.48 ( sK13(sK15) = v_y 77.68/10.48 | sK14 = v_x 77.68/10.48 | c_member(tc_prod(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,sK14),v_L) = iProver_top 77.68/10.48 | c_member(tc_prod(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_x),v_L) != iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_198916,c_21899]) ). 77.68/10.48 77.68/10.48 cnf(c_220534,plain, 77.68/10.48 ( sK13(sK15) = v_y | sP5 = iProver_top ), 77.68/10.48 inference(global_propositional_subsumption, 77.68/10.48 [status(thm)], 77.68/10.48 [c_199789,c_2352,c_32424,c_33818,c_44985,c_44988,c_54020, 77.68/10.48 c_54021,c_61373,c_65052,c_73640,c_73909,c_76385,c_80187, 77.68/10.48 c_87749,c_88019,c_88062,c_88064,c_108694,c_139513, 77.68/10.48 c_177870,c_185746,c_195878,c_213534]) ). 77.68/10.48 77.68/10.48 cnf(c_220538,plain, 77.68/10.48 ( sK13(sK15) = v_y ), 77.68/10.48 inference(global_propositional_subsumption, 77.68/10.48 [status(thm)], 77.68/10.48 [c_220534,c_2352,c_32424,c_33818,c_44985,c_44988,c_54020, 77.68/10.48 c_54021,c_61373,c_65052,c_73640,c_73909,c_76385,c_80187, 77.68/10.48 c_87749,c_88019,c_88062,c_88064,c_108694,c_139513, 77.68/10.48 c_177870,c_185746,c_195878,c_213534]) ). 77.68/10.48 77.68/10.48 cnf(c_226859,plain, 77.68/10.48 ( sK15 = v_x 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,v_x),v_L) = iProver_top 77.68/10.48 | sP2(v_y,sK15) = iProver_top ), 77.68/10.48 inference(light_normalisation,[status(thm)],[c_226854,c_220538]) ). 77.68/10.48 77.68/10.48 cnf(c_40921,plain, 77.68/10.48 ( sK15 = v_x 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,v_x),v_L) = iProver_top 77.68/10.48 | sP2(sK13(sK15),sK15) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_26981,c_22327]) ). 77.68/10.48 77.68/10.48 cnf(c_42100,plain, 77.68/10.48 ( sK15 = v_x 77.68/10.48 | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK15,sK15),v_L) = iProver_top 77.68/10.48 | sP2(sK13(sK15),sK15) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_40921,c_39671]) ). 77.68/10.48 77.68/10.48 cnf(c_21901,plain, 77.68/10.48 ( c_member(tc_prod(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) != iProver_top ), 77.68/10.48 inference(predicate_to_equality,[status(thm)],[c_716]) ). 77.68/10.48 77.68/10.48 cnf(c_42489,plain, 77.68/10.48 ( sK15 = v_x 77.68/10.48 | sP2(sK13(sK15),sK15) = iProver_top 77.68/10.48 | sP4(sK15,sK14) = iProver_top 77.68/10.48 | sP5 = iProver_top ), 77.68/10.48 inference(forward_subsumption_resolution, 77.68/10.48 [status(thm)], 77.68/10.48 [c_42100,c_21901]) ). 77.68/10.48 77.68/10.48 cnf(c_108695,plain, 77.68/10.48 ( sK15 = v_x | sP4(sK15,sK14) = iProver_top | sP5 = iProver_top ), 77.68/10.48 inference(superposition,[status(thm)],[c_42489,c_108690]) ). 77.68/10.48 77.68/10.48 cnf(c_227116,plain, 77.68/10.48 ( sK15 = v_x ), 77.68/10.48 inference(global_propositional_subsumption, 77.68/10.48 [status(thm)], 77.68/10.48 [c_226859,c_2352,c_32424,c_33818,c_44985,c_44988,c_54020, 77.68/10.48 c_54021,c_61373,c_65052,c_73640,c_73909,c_76385,c_80187, 77.68/10.48 c_87749,c_88019,c_88062,c_88064,c_108695,c_139513, 77.68/10.48 c_177870,c_185746,c_195878,c_213534]) ). 77.68/10.48 77.68/10.48 cnf(c_227121,plain, 77.68/10.48 ( c_member(tc_prod(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_x,v_x),v_L) = iProver_top ), 77.68/10.48 inference(demodulation,[status(thm)],[c_227116,c_220448]) ). 77.68/10.48 77.68/10.48 cnf(contradiction,plain, 77.68/10.48 ( $false ), 77.68/10.48 inference(minisat,[status(thm)],[c_227121,c_126355]) ). 77.68/10.48 77.68/10.48 77.68/10.48 % SZS output end CNFRefutation for theBenchmark.p 77.68/10.48 77.68/10.48 ------ Statistics 77.68/10.48 77.68/10.48 ------ Selected 77.68/10.48 77.68/10.48 total_time: 9.535 77.68/10.48 77.68/10.51 EOF