0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.17 % Command : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 --problem_version fof /export/starexec/sandbox2/benchmark/theBenchmark.p 120 --prover /export/starexec/sandbox2/solver/bin/res/iproveropt_no_z3 0.18/0.38 % Computer : n020.cluster.edu 0.18/0.38 % Model : x86_64 x86_64 0.18/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.38 % Memory : 8042.1875MB 0.18/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.18/0.38 % CPULimit : 960 0.18/0.38 % WCLimit : 120 0.18/0.38 % DateTime : Tue Aug 9 02:10:50 EDT 2022 0.18/0.39 % CPUTime : 4.23/1.56 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 4.23/1.56 4.23/1.56 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 4.23/1.56 4.23/1.56 ------ iProver source info 4.23/1.56 4.23/1.56 git: date: 2022-07-26 19:47:37 +0300 4.23/1.56 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 4.23/1.56 git: non_committed_changes: false 4.23/1.56 git: last_make_outside_of_git: false 4.23/1.56 4.23/1.56 ------ Parsing... 4.23/1.56 ------ Clausification by vclausify_rel & Parsing by iProver... 4.23/1.56 ------ Proving... 4.23/1.56 ------ Problem Properties 4.23/1.56 4.23/1.56 4.23/1.56 clauses 535 4.23/1.56 conjectures 1 4.23/1.56 EPR 5 4.23/1.56 Horn 484 4.23/1.56 unary 144 4.23/1.56 binary 244 4.23/1.56 lits 1131 4.23/1.56 lits eq 139 4.23/1.56 fd_pure 0 4.23/1.56 fd_pseudo 0 4.23/1.56 fd_cond 0 4.23/1.56 fd_pseudo_cond 36 4.23/1.56 AC symbols 0 4.23/1.56 4.23/1.56 ------ Input Options Time Limit: Unbounded 4.23/1.56 4.23/1.56 4.23/1.56 ------ 4.23/1.56 Current options: 4.23/1.56 ------ 4.23/1.56 4.23/1.56 4.23/1.56 4.23/1.56 4.23/1.56 ------ Proving... 4.23/1.56 4.23/1.56 4.23/1.56 % SZS status Theorem for theBenchmark.p 4.23/1.56 4.23/1.56 % SZS output start CNFRefutation for theBenchmark.p 4.23/1.56 4.23/1.56 fof(f129,axiom,( 4.23/1.56 hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u))), 4.23/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4)). 4.23/1.56 4.23/1.56 fof(f1436,plain,( 4.23/1.56 hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u))), 4.23/1.56 inference(cnf_transformation,[],[f129])). 4.23/1.56 4.23/1.56 fof(f338,axiom,( 4.23/1.56 ! [X3,X11,X2,X18] : (hAPP_pname_a(X2,X18) = X11 => (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X18),X3)) => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X11),image_pname_a(X2,X3)))))), 4.23/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_image__eqI)). 4.23/1.56 4.23/1.56 fof(f725,plain,( 4.23/1.56 ! [X0,X1,X2,X3] : (hAPP_pname_a(X2,X3) = X1 => (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0)) => hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0)))))), 4.23/1.56 inference(rectify,[],[f338])). 4.23/1.56 4.23/1.56 fof(f1086,plain,( 4.23/1.56 ! [X0,X1,X2,X3] : ((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0))) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))) | hAPP_pname_a(X2,X3) != X1)), 4.23/1.56 inference(ennf_transformation,[],[f725])). 4.23/1.56 4.23/1.56 fof(f1087,plain,( 4.23/1.56 ! [X0,X1,X2,X3] : (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0))) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0)) | hAPP_pname_a(X2,X3) != X1)), 4.23/1.56 inference(flattening,[],[f1086])). 4.23/1.56 4.23/1.56 fof(f1692,plain,( 4.23/1.56 ( ! [X2,X0,X3,X1] : (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0))) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0)) | hAPP_pname_a(X2,X3) != X1) )), 4.23/1.56 inference(cnf_transformation,[],[f1087])). 4.23/1.56 4.23/1.56 fof(f1994,plain,( 4.23/1.56 ( ! [X2,X0,X3] : (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X2,X3)),image_pname_a(X2,X0))) | ~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))) )), 4.23/1.56 inference(equality_resolution,[],[f1692])). 4.23/1.56 4.23/1.56 fof(f33,axiom,( 4.23/1.56 ! [X18,X3,X9] : ((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X18),X9)) & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X9))) <=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X18,X3)),X9)))), 4.23/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_insert__subset)). 4.23/1.56 4.23/1.56 fof(f476,plain,( 4.23/1.56 ! [X0,X1,X2] : ((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))) <=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2)))), 4.23/1.56 inference(rectify,[],[f33])). 4.23/1.56 4.23/1.56 fof(f1193,plain,( 4.23/1.56 ! [X0,X1,X2] : (((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))) & (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2)) | (~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)))))), 4.23/1.56 inference(nnf_transformation,[],[f476])). 4.23/1.56 4.23/1.56 fof(f1194,plain,( 4.23/1.56 ! [X0,X1,X2] : (((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) & hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2))) & (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))))), 4.23/1.56 inference(flattening,[],[f1193])). 4.23/1.56 4.23/1.56 fof(f1320,plain,( 4.23/1.56 ( ! [X2,X0,X1] : (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))) )), 4.23/1.56 inference(cnf_transformation,[],[f1194])). 4.23/1.56 4.23/1.56 fof(f161,axiom,( 4.23/1.56 ! [X10,X9] : insert_a(X10,X9) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X10)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X9)))), 4.23/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_insert__compr)). 4.23/1.56 4.23/1.56 fof(f574,plain,( 4.23/1.56 ! [X0,X1] : insert_a(X0,X1) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))), 4.23/1.56 inference(rectify,[],[f161])). 4.23/1.56 4.23/1.56 fof(f1474,plain,( 4.23/1.56 ( ! [X0,X1] : (insert_a(X0,X1) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))) )), 4.23/1.56 inference(cnf_transformation,[],[f574])). 4.23/1.56 4.23/1.56 fof(f1844,plain,( 4.23/1.56 ( ! [X2,X0,X1] : (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))),X2)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) | ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))) )), 4.23/1.56 inference(definition_unfolding,[],[f1320,f1474])). 4.23/1.56 4.23/1.56 fof(f174,conjecture,( 4.23/1.56 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u)))), 4.23/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6)). 4.23/1.56 4.23/1.56 fof(f175,negated_conjecture,( 4.23/1.56 ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u)))), 4.23/1.56 inference(negated_conjecture,[],[f174])). 4.23/1.56 4.23/1.56 fof(f585,plain,( 4.23/1.56 ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u)))), 4.23/1.56 inference(flattening,[],[f175])). 4.23/1.56 4.23/1.56 fof(f1488,plain,( 4.23/1.56 ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u)))), 4.23/1.56 inference(cnf_transformation,[],[f585])). 4.23/1.56 4.23/1.56 fof(f1877,plain,( 4.23/1.56 ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u)))), 4.23/1.56 inference(definition_unfolding,[],[f1488,f1474])). 4.23/1.56 4.23/1.56 fof(f51,axiom,( 4.23/1.56 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u)))), 4.23/1.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)). 4.23/1.56 4.23/1.56 fof(f1342,plain,( 4.23/1.56 hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u)))), 4.23/1.56 inference(cnf_transformation,[],[f51])). 4.23/1.56 4.23/1.56 cnf(c_202,plain, 4.23/1.56 ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)) ), 4.23/1.56 inference(cnf_transformation,[],[f1436]) ). 4.23/1.56 4.23/1.56 cnf(c_454,plain, 4.23/1.56 ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1)) 4.23/1.56 | hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X2,X0)),image_pname_a(X2,X1))) ), 4.23/1.56 inference(cnf_transformation,[],[f1994]) ). 4.23/1.56 4.23/1.56 cnf(c_91,plain, 4.23/1.56 ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X1)) 4.23/1.56 | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1)) 4.23/1.56 | hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X0)))),X1)) ), 4.23/1.56 inference(cnf_transformation,[],[f1844]) ). 4.23/1.56 4.23/1.56 cnf(c_253,negated_conjecture, 4.23/1.56 ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))) ), 4.23/1.56 inference(cnf_transformation,[],[f1877]) ). 4.23/1.56 4.23/1.56 cnf(c_1374,plain, 4.23/1.56 ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))) 4.23/1.56 | ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))) ), 4.23/1.56 inference(superposition,[status(thm)],[c_91,c_253]) ). 4.23/1.56 4.23/1.56 cnf(c_111,plain, 4.23/1.56 ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))) ), 4.23/1.56 inference(cnf_transformation,[],[f1342]) ). 4.23/1.56 4.23/1.56 cnf(c_1929,plain, 4.23/1.56 ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))) ), 4.23/1.56 inference(global_propositional_subsumption,[status(thm)],[c_1374,c_111]) ). 4.23/1.56 4.23/1.56 cnf(c_1931,plain, 4.23/1.56 ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)) ), 4.23/1.56 inference(superposition,[status(thm)],[c_454,c_1929]) ). 4.23/1.56 4.23/1.56 cnf(c_1932,plain, 4.23/1.56 ( $false ), 4.23/1.56 inference(backward_subsumption_resolution,[status(thm)],[c_202,c_1931]) ). 4.23/1.56 4.23/1.56 4.23/1.56 % SZS output end CNFRefutation for theBenchmark.p 4.23/1.56 4.23/1.56 ------ Statistics 4.23/1.56 4.23/1.56 ------ Selected 4.23/1.56 4.23/1.56 total_time: 0.231 4.23/1.56 4.23/1.58 EOF