0.03/0.12 % Problem : SLH490^1 : TPTP v7.5.0. Released v7.5.0. 0.13/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n027.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 30 0.13/0.34 % WCLimit : 30 0.13/0.34 % DateTime : Tue Aug 9 03:19:51 EDT 2022 0.13/0.34 % CPUTime : 0.20/0.48 The problem SPC is TH0_THM_EQU_NAR 0.20/0.49 Running higher-order on 1 cores theorem proving 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.20/0.49 # Version: 3.0pre003-ho 0.42/0.72 # Preprocessing class: HSLMSMSMSSSNHSA. 0.42/0.72 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.42/0.72 # Starting ho_unfolding_3 with 30s (1) cores 0.42/0.72 # ho_unfolding_3 with pid 20807 completed with status 0 0.42/0.72 # Result found by ho_unfolding_3 0.42/0.72 # Preprocessing class: HSLMSMSMSSSNHSA. 0.42/0.72 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.42/0.72 # Starting ho_unfolding_3 with 30s (1) cores 0.42/0.72 # No SInE strategy applied 0.42/0.72 # Search class: HGHSM-FSLS32-MHSFFFBN 0.42/0.72 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.42/0.72 # Starting sh3 with 17s (1) cores 0.42/0.72 # sh3 with pid 20808 completed with status 0 0.42/0.72 # Result found by sh3 0.42/0.72 # Preprocessing class: HSLMSMSMSSSNHSA. 0.42/0.72 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.42/0.72 # Starting ho_unfolding_3 with 30s (1) cores 0.42/0.72 # No SInE strategy applied 0.42/0.72 # Search class: HGHSM-FSLS32-MHSFFFBN 0.42/0.72 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.42/0.72 # Starting sh3 with 17s (1) cores 0.42/0.72 # Preprocessing time : 0.011 s 0.42/0.72 # Presaturation interreduction done 0.42/0.72 0.42/0.72 # Proof found! 0.42/0.72 # SZS status Theorem 0.42/0.72 # SZS output start CNFRefutation 0.42/0.72 thf(decl_22, type, if_Ref1724547303nres_a: $o > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_23, type, if_Ref1732808808nres_b: $o > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_24, type, bot_bo15644638es_b_o: produc602055581nres_b > $o). 0.42/0.72 thf(decl_25, type, bot_bo1344722027nres_b: refine930118103nres_b). 0.42/0.72 thf(decl_26, type, bot_bo529555393nres_a: refine424419629nres_a). 0.42/0.72 thf(decl_27, type, bot_bo537816898nres_b: refine432681134nres_b). 0.42/0.72 thf(decl_28, type, bot_bo1377358183nres_b: set_Pr1830268627nres_b). 0.42/0.72 thf(decl_29, type, bot_bot_set_a: set_a). 0.42/0.72 thf(decl_30, type, bot_bot_set_b: set_b). 0.42/0.72 thf(decl_31, type, ord_le1705114167nres_b: refine930118103nres_b > refine930118103nres_b > $o). 0.42/0.72 thf(decl_32, type, ord_le762351011nres_a: refine200437059nres_a > refine200437059nres_a > $o). 0.42/0.72 thf(decl_33, type, ord_le1901915300nres_b: refine1340001348nres_b > refine1340001348nres_b > $o). 0.42/0.72 thf(decl_34, type, ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o). 0.42/0.72 thf(decl_35, type, ord_le527798542nres_b: refine432681134nres_b > refine432681134nres_b > $o). 0.42/0.72 thf(decl_36, type, ord_le1350889267nres_b: set_Pr1830268627nres_b > set_Pr1830268627nres_b > $o). 0.42/0.72 thf(decl_37, type, ord_less_eq_set_a: set_a > set_a > $o). 0.42/0.72 thf(decl_38, type, ord_less_eq_set_b: set_b > set_b > $o). 0.42/0.72 thf(decl_39, type, top_to1149261959nres_b: refine930118103nres_b). 0.42/0.72 thf(decl_40, type, top_to257301491nres_a: refine200437059nres_a). 0.42/0.72 thf(decl_41, type, top_to1396865780nres_b: refine1340001348nres_b). 0.42/0.72 thf(decl_42, type, top_to231829469nres_a: refine424419629nres_a). 0.42/0.72 thf(decl_43, type, top_to240090974nres_b: refine432681134nres_b). 0.42/0.72 thf(decl_44, type, top_to186019203nres_b: set_Pr1830268627nres_b). 0.42/0.72 thf(decl_45, type, produc1136923598nres_a: refine424419629nres_a > refine424419629nres_a > produc1609974940nres_a). 0.42/0.72 thf(decl_46, type, produc1145185103nres_b: refine424419629nres_a > refine432681134nres_b > produc602055581nres_b). 0.42/0.72 thf(decl_47, type, produc2122380429nres_a: refine432681134nres_b > refine424419629nres_a > produc447948123nres_a). 0.42/0.72 thf(decl_48, type, produc2130641934nres_b: refine432681134nres_b > refine432681134nres_b > produc1587512412nres_b). 0.42/0.72 thf(decl_49, type, produc960352580nres_b: a > produc602055581nres_b > produc934226890nres_b). 0.42/0.72 thf(decl_50, type, product_Pair_a_a: a > a > product_prod_a_a). 0.42/0.72 thf(decl_51, type, product_Pair_a_b: a > b > product_prod_a_b). 0.42/0.72 thf(decl_52, type, produc1209233221nres_b: b > produc602055581nres_b > produc1183107531nres_b). 0.42/0.72 thf(decl_53, type, product_Pair_b_a: b > a > product_prod_b_a). 0.42/0.72 thf(decl_54, type, product_Pair_b_b: b > b > product_prod_b_b). 0.42/0.72 thf(decl_55, type, refine1311893262nres_b: produc602055581nres_b > refine930118103nres_b). 0.42/0.72 thf(decl_56, type, refine1367531130nres_a: refine424419629nres_a > refine200437059nres_a). 0.42/0.72 thf(decl_57, type, refine1375792635nres_b: refine432681134nres_b > refine1340001348nres_b). 0.42/0.72 thf(decl_58, type, refine2063221604TURN_a: a > refine424419629nres_a). 0.42/0.72 thf(decl_59, type, refine2063221605TURN_b: b > refine432681134nres_b). 0.42/0.72 thf(decl_60, type, refine1905296567nres_b: set_Pr1830268627nres_b > refine200437059nres_a > refine1340001348nres_b). 0.42/0.72 thf(decl_61, type, refine1136779702un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_62, type, refine1136779703un_a_b: set_Product_prod_a_b > refine424419629nres_a > refine432681134nres_b). 0.42/0.72 thf(decl_63, type, refine1964549109un_b_a: set_Product_prod_b_a > refine432681134nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_64, type, refine1964549110un_b_b: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_65, type, refine1545875398nres_b: refine930118103nres_b > (produc602055581nres_b > refine930118103nres_b) > refine930118103nres_b). 0.42/0.72 thf(decl_66, type, refine1939743772es_b_a: refine930118103nres_b > (produc602055581nres_b > refine424419629nres_a) > refine424419629nres_a). 0.42/0.72 thf(decl_67, type, refine1939743773es_b_b: refine930118103nres_b > (produc602055581nres_b > refine432681134nres_b) > refine432681134nres_b). 0.42/0.72 thf(decl_68, type, refine1282563526nres_a: refine200437059nres_a > (refine424419629nres_a > refine200437059nres_a) > refine200437059nres_a). 0.42/0.72 thf(decl_69, type, refine128798214nres_b: refine1340001348nres_b > (refine432681134nres_b > refine1340001348nres_b) > refine1340001348nres_b). 0.42/0.72 thf(decl_70, type, refine436832838nd_a_a: refine424419629nres_a > (a > refine424419629nres_a) > refine424419629nres_a). 0.42/0.72 thf(decl_71, type, refine436832839nd_a_b: refine424419629nres_a > (a > refine432681134nres_b) > refine432681134nres_b). 0.42/0.72 thf(decl_72, type, refine1264602245nd_b_a: refine432681134nres_b > (b > refine424419629nres_a) > refine424419629nres_a). 0.42/0.72 thf(decl_73, type, refine1264602246nd_b_b: refine432681134nres_b > (b > refine432681134nres_b) > refine432681134nres_b). 0.42/0.72 thf(decl_74, type, refine912342870nres_b: set_Pr1830268627nres_b > refine1340001348nres_b > refine200437059nres_a). 0.42/0.72 thf(decl_75, type, refine415182591nres_b: set_Pr1132178816nres_b > refine930118103nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_76, type, refine1441824853un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_77, type, refine1441824854un_a_b: set_Product_prod_a_b > refine432681134nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_78, type, refine41350718nres_b: set_Pr98589441nres_b > refine930118103nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_79, type, refine122110612un_b_a: set_Product_prod_b_a > refine424419629nres_a > refine432681134nres_b). 0.42/0.72 thf(decl_80, type, refine122110613un_b_b: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_81, type, refine309859541nres_b: refine930118103nres_b > produc602055581nres_b > $o). 0.42/0.72 thf(decl_82, type, refine2083622209nres_a: refine200437059nres_a > refine424419629nres_a > $o). 0.42/0.72 thf(decl_83, type, refine2091883714nres_b: refine1340001348nres_b > refine432681134nres_b > $o). 0.42/0.72 thf(decl_84, type, refine1001002027nres_a: refine424419629nres_a > a > $o). 0.42/0.72 thf(decl_85, type, refine1001002028nres_b: refine432681134nres_b > b > $o). 0.42/0.72 thf(decl_86, type, refine430709538nres_b: set_Pr1830268627nres_b > (refine432681134nres_b > $o) > refine424419629nres_a > $o). 0.42/0.72 thf(decl_87, type, refine1487767309nres_b: refine930118103nres_b > produc602055581nres_b > $o). 0.42/0.72 thf(decl_88, type, refine1312857699nres_a: refine424419629nres_a > a > $o). 0.42/0.72 thf(decl_89, type, refine1312857700nres_b: refine432681134nres_b > b > $o). 0.42/0.72 thf(decl_90, type, refine1191132543nres_b: refine930118103nres_b > $o). 0.42/0.72 thf(decl_91, type, refine694533099nres_a: refine200437059nres_a > $o). 0.42/0.72 thf(decl_92, type, refine702794604nres_b: refine1340001348nres_b > $o). 0.42/0.72 thf(decl_93, type, refine412683989fail_a: refine424419629nres_a > $o). 0.42/0.72 thf(decl_94, type, refine412683990fail_b: refine432681134nres_b > $o). 0.42/0.72 thf(decl_95, type, refine1919114034nres_b: set_Pr1830268627nres_b > refine930118103nres_b). 0.42/0.72 thf(decl_96, type, refine1760366238nres_a: set_Re205226339nres_a > refine200437059nres_a). 0.42/0.72 thf(decl_97, type, refine1768627743nres_b: set_Re1344790628nres_b > refine1340001348nres_b). 0.42/0.72 thf(decl_98, type, refine1198353288_RES_a: set_a > refine424419629nres_a). 0.42/0.72 thf(decl_99, type, refine1198353289_RES_b: set_b > refine432681134nres_b). 0.42/0.72 thf(decl_100, type, refine737062558el_a_a: set_Product_prod_a_a > set_Pr384614482nres_a). 0.42/0.72 thf(decl_101, type, refine737062559el_a_b: set_Product_prod_a_b > set_Pr1830268627nres_b). 0.42/0.72 thf(decl_102, type, refine1564831965el_b_a: set_Product_prod_b_a > set_Pr1598501265nres_a). 0.42/0.72 thf(decl_103, type, refine1564831966el_b_b: set_Product_prod_b_b > set_Pr896671762nres_b). 0.42/0.72 thf(decl_104, type, refine1437029927_bnd_a: $o > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_105, type, refine1437029928_bnd_b: $o > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_106, type, refine1822134885_RES_a: refine424419629nres_a > set_a). 0.42/0.72 thf(decl_107, type, refine1822134886_RES_b: refine432681134nres_b > set_b). 0.42/0.72 thf(decl_108, type, p2rel_1111082143nres_b: (refine424419629nres_a > refine432681134nres_b > $o) > set_Pr1830268627nres_b). 0.42/0.72 thf(decl_109, type, p2rel_a_b: (a > b > $o) > set_Product_prod_a_b). 0.42/0.72 thf(decl_110, type, rel2p_1651702303nres_b: set_Pr1830268627nres_b > refine424419629nres_a > refine432681134nres_b > $o). 0.42/0.72 thf(decl_111, type, rel2p_a_b: set_Product_prod_a_b > a > b > $o). 0.42/0.72 thf(decl_112, type, relAPP1642956907nres_a: (set_Product_prod_a_a > set_Pr384614482nres_a) > set_Product_prod_a_a > set_Pr384614482nres_a). 0.42/0.72 thf(decl_113, type, relAPP11374829nres_b: (set_Product_prod_a_b > set_Pr1830268627nres_b) > set_Product_prod_a_b > set_Pr1830268627nres_b). 0.42/0.72 thf(decl_114, type, relAPP1912873449nres_a: (set_Product_prod_b_a > set_Pr1598501265nres_a) > set_Product_prod_b_a > set_Pr1598501265nres_a). 0.42/0.72 thf(decl_115, type, relAPP281291371nres_b: (set_Product_prod_b_b > set_Pr896671762nres_b) > set_Product_prod_b_b > set_Pr896671762nres_b). 0.42/0.72 thf(decl_116, type, collec407177586nres_b: (produc602055581nres_b > $o) > set_Pr1830268627nres_b). 0.42/0.72 thf(decl_117, type, collec1348835715nres_b: (refine432681134nres_b > $o) > set_Re1344790628nres_b). 0.42/0.72 thf(decl_118, type, collect_a: (a > $o) > set_a). 0.42/0.72 thf(decl_119, type, collect_b: (b > $o) > set_b). 0.42/0.72 thf(decl_120, type, insert921313741nres_b: produc602055581nres_b > set_Pr1830268627nres_b > set_Pr1830268627nres_b). 0.42/0.72 thf(decl_121, type, insert_a: a > set_a > set_a). 0.42/0.72 thf(decl_122, type, insert_b: b > set_b > set_b). 0.42/0.72 thf(decl_123, type, member1468928819nres_a: produc1609974940nres_a > set_Pr384614482nres_a > $o). 0.42/0.72 thf(decl_124, type, member461009460nres_b: produc602055581nres_b > set_Pr1830268627nres_b > $o). 0.42/0.72 thf(decl_125, type, member306902002nres_a: produc447948123nres_a > set_Pr1598501265nres_a > $o). 0.42/0.72 thf(decl_126, type, member1446466291nres_b: produc1587512412nres_b > set_Pr896671762nres_b > $o). 0.42/0.72 thf(decl_127, type, member1347504993nres_b: produc934226890nres_b > set_Pr1132178816nres_b > $o). 0.42/0.72 thf(decl_128, type, member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o). 0.42/0.72 thf(decl_129, type, member458171089od_a_b: product_prod_a_b > set_Product_prod_a_b > $o). 0.42/0.72 thf(decl_130, type, member1596385634nres_b: produc1183107531nres_b > set_Pr98589441nres_b > $o). 0.42/0.72 thf(decl_131, type, member1277678991od_b_a: product_prod_b_a > set_Product_prod_b_a > $o). 0.42/0.72 thf(decl_132, type, member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o). 0.42/0.72 thf(decl_133, type, member1740447940nres_a: refine424419629nres_a > set_Re205226339nres_a > $o). 0.42/0.72 thf(decl_134, type, member1748709445nres_b: refine432681134nres_b > set_Re1344790628nres_b > $o). 0.42/0.72 thf(decl_135, type, member_a: a > set_a > $o). 0.42/0.72 thf(decl_136, type, member_b: b > set_b > $o). 0.42/0.72 thf(decl_137, type, a2: set_Product_prod_a_b). 0.42/0.72 thf(decl_138, type, x: a). 0.42/0.72 thf(decl_139, type, y: b). 0.42/0.72 thf(decl_140, type, esk1_2: refine432681134nres_b > refine432681134nres_b > b). 0.42/0.72 thf(decl_141, type, esk2_2: refine424419629nres_a > refine424419629nres_a > a). 0.42/0.72 thf(decl_142, type, esk3_2: refine432681134nres_b > refine432681134nres_b > b). 0.42/0.72 thf(decl_143, type, esk4_2: refine424419629nres_a > refine424419629nres_a > a). 0.42/0.72 thf(decl_144, type, esk5_2: refine432681134nres_b > refine432681134nres_b > b). 0.42/0.72 thf(decl_145, type, esk6_2: refine424419629nres_a > refine424419629nres_a > a). 0.42/0.72 thf(decl_146, type, esk7_2: refine432681134nres_b > refine432681134nres_b > b). 0.42/0.72 thf(decl_147, type, esk8_2: refine424419629nres_a > refine424419629nres_a > a). 0.42/0.72 thf(decl_148, type, esk9_2: refine432681134nres_b > refine432681134nres_b > b). 0.42/0.72 thf(decl_149, type, esk10_2: refine424419629nres_a > refine424419629nres_a > a). 0.42/0.72 thf(decl_150, type, esk11_3: refine432681134nres_b > refine432681134nres_b > (b > refine432681134nres_b) > b). 0.42/0.72 thf(decl_151, type, esk12_3: refine432681134nres_b > refine424419629nres_a > (a > refine432681134nres_b) > a). 0.42/0.72 thf(decl_152, type, esk13_3: refine424419629nres_a > refine432681134nres_b > (b > refine424419629nres_a) > b). 0.42/0.72 thf(decl_153, type, esk14_3: refine424419629nres_a > refine424419629nres_a > (a > refine424419629nres_a) > a). 0.42/0.72 thf(decl_154, type, esk15_3: refine432681134nres_b > (b > refine432681134nres_b) > refine432681134nres_b > b). 0.42/0.72 thf(decl_155, type, esk16_3: refine424419629nres_a > (a > refine432681134nres_b) > refine432681134nres_b > a). 0.42/0.72 thf(decl_156, type, esk17_3: refine432681134nres_b > (b > refine424419629nres_a) > refine424419629nres_a > b). 0.42/0.72 thf(decl_157, type, esk18_3: refine424419629nres_a > (a > refine424419629nres_a) > refine424419629nres_a > a). 0.42/0.72 thf(decl_158, type, esk19_2: refine432681134nres_b > (b > refine432681134nres_b) > b). 0.42/0.72 thf(decl_159, type, esk20_2: refine424419629nres_a > (a > refine432681134nres_b) > a). 0.42/0.72 thf(decl_160, type, esk21_2: refine432681134nres_b > (b > refine424419629nres_a) > b). 0.42/0.72 thf(decl_161, type, esk22_2: refine424419629nres_a > (a > refine424419629nres_a) > a). 0.42/0.72 thf(decl_162, type, esk23_3: refine432681134nres_b > (b > refine432681134nres_b) > refine432681134nres_b > b). 0.42/0.72 thf(decl_163, type, esk24_3: refine432681134nres_b > (b > refine424419629nres_a) > refine424419629nres_a > b). 0.42/0.72 thf(decl_164, type, esk25_3: refine424419629nres_a > (a > refine432681134nres_b) > refine432681134nres_b > a). 0.42/0.72 thf(decl_165, type, esk26_3: refine424419629nres_a > (a > refine424419629nres_a) > refine424419629nres_a > a). 0.42/0.72 thf(decl_166, type, esk27_4: refine424419629nres_a > refine424419629nres_a > (a > refine432681134nres_b) > (a > refine432681134nres_b) > a). 0.42/0.72 thf(decl_167, type, esk28_4: refine424419629nres_a > refine424419629nres_a > (a > refine424419629nres_a) > (a > refine424419629nres_a) > a). 0.42/0.72 thf(decl_168, type, esk29_4: refine432681134nres_b > refine432681134nres_b > (b > refine432681134nres_b) > (b > refine432681134nres_b) > b). 0.42/0.72 thf(decl_169, type, esk30_4: refine432681134nres_b > refine432681134nres_b > (b > refine424419629nres_a) > (b > refine424419629nres_a) > b). 0.42/0.72 thf(decl_170, type, esk31_4: refine432681134nres_b > refine432681134nres_b > (refine432681134nres_b > refine432681134nres_b) > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_171, type, esk32_4: refine432681134nres_b > refine432681134nres_b > (refine432681134nres_b > refine432681134nres_b) > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_172, type, esk33_4: refine432681134nres_b > refine432681134nres_b > (refine432681134nres_b > refine424419629nres_a) > refine424419629nres_a > refine432681134nres_b). 0.42/0.72 thf(decl_173, type, esk34_4: refine432681134nres_b > refine432681134nres_b > (refine432681134nres_b > refine424419629nres_a) > refine424419629nres_a > refine432681134nres_b). 0.42/0.72 thf(decl_174, type, esk35_4: refine424419629nres_a > refine424419629nres_a > (refine424419629nres_a > refine432681134nres_b) > refine432681134nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_175, type, esk36_4: refine424419629nres_a > refine424419629nres_a > (refine424419629nres_a > refine432681134nres_b) > refine432681134nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_176, type, esk37_4: refine424419629nres_a > refine424419629nres_a > (refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_177, type, esk38_4: refine424419629nres_a > refine424419629nres_a > (refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_178, type, esk39_4: refine432681134nres_b > (refine432681134nres_b > refine432681134nres_b) > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_179, type, esk40_4: refine432681134nres_b > (refine432681134nres_b > refine432681134nres_b) > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_180, type, esk41_4: refine424419629nres_a > (refine432681134nres_b > refine424419629nres_a) > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_181, type, esk42_4: refine424419629nres_a > (refine432681134nres_b > refine424419629nres_a) > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_182, type, esk43_4: refine432681134nres_b > (refine424419629nres_a > refine432681134nres_b) > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_183, type, esk44_4: refine432681134nres_b > (refine424419629nres_a > refine432681134nres_b) > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_184, type, esk45_4: refine424419629nres_a > (refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_185, type, esk46_4: refine424419629nres_a > (refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_186, type, esk47_4: refine432681134nres_b > refine432681134nres_b > (refine432681134nres_b > refine432681134nres_b) > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_187, type, esk48_4: refine432681134nres_b > refine432681134nres_b > (refine432681134nres_b > refine432681134nres_b) > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_188, type, esk49_4: refine432681134nres_b > refine432681134nres_b > (refine432681134nres_b > refine424419629nres_a) > refine424419629nres_a > refine432681134nres_b). 0.42/0.72 thf(decl_189, type, esk50_4: refine432681134nres_b > refine432681134nres_b > (refine432681134nres_b > refine424419629nres_a) > refine424419629nres_a > refine432681134nres_b). 0.42/0.72 thf(decl_190, type, esk51_4: refine424419629nres_a > refine424419629nres_a > (refine424419629nres_a > refine432681134nres_b) > refine432681134nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_191, type, esk52_4: refine424419629nres_a > refine424419629nres_a > (refine424419629nres_a > refine432681134nres_b) > refine432681134nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_192, type, esk53_4: refine424419629nres_a > refine424419629nres_a > (refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_193, type, esk54_4: refine424419629nres_a > refine424419629nres_a > (refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_194, type, esk55_4: refine432681134nres_b > (refine432681134nres_b > refine432681134nres_b) > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_195, type, esk56_4: refine432681134nres_b > (refine432681134nres_b > refine432681134nres_b) > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_196, type, esk57_4: refine432681134nres_b > (refine424419629nres_a > refine432681134nres_b) > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_197, type, esk58_4: refine432681134nres_b > (refine424419629nres_a > refine432681134nres_b) > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_198, type, esk59_4: refine424419629nres_a > (refine432681134nres_b > refine424419629nres_a) > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_199, type, esk60_4: refine424419629nres_a > (refine432681134nres_b > refine424419629nres_a) > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_200, type, esk61_4: refine424419629nres_a > (refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_201, type, esk62_4: refine424419629nres_a > (refine424419629nres_a > refine424419629nres_a) > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a). 0.42/0.72 thf(decl_202, type, esk63_1: (produc602055581nres_b > $o) > refine424419629nres_a). 0.42/0.72 thf(decl_203, type, esk64_1: (produc602055581nres_b > $o) > refine432681134nres_b). 0.42/0.72 thf(decl_204, type, esk65_1: produc602055581nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_205, type, esk66_1: produc602055581nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_206, type, esk67_1: (produc602055581nres_b > $o) > refine424419629nres_a). 0.42/0.72 thf(decl_207, type, esk68_1: (produc602055581nres_b > $o) > refine432681134nres_b). 0.42/0.72 thf(decl_208, type, esk69_1: produc602055581nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_209, type, esk70_1: produc602055581nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_210, type, esk71_3: refine424419629nres_a > refine432681134nres_b > set_Product_prod_a_b > a). 0.42/0.72 thf(decl_211, type, esk72_3: set_Pr1830268627nres_b > (refine432681134nres_b > $o) > refine424419629nres_a > refine432681134nres_b). 0.42/0.72 thf(decl_212, type, esk73_3: refine1340001348nres_b > refine424419629nres_a > set_Pr1830268627nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_213, type, esk74_3: refine432681134nres_b > a > set_Product_prod_a_b > b). 0.42/0.72 thf(decl_214, type, esk75_3: refine432681134nres_b > b > set_Product_prod_b_b > b). 0.42/0.72 thf(decl_215, type, esk76_3: refine424419629nres_a > a > set_Product_prod_a_a > a). 0.42/0.72 thf(decl_216, type, esk77_3: refine424419629nres_a > b > set_Product_prod_b_a > a). 0.42/0.72 thf(decl_217, type, esk78_3: refine1340001348nres_b > refine424419629nres_a > set_Pr1830268627nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_218, type, esk79_3: refine432681134nres_b > a > set_Product_prod_a_b > b). 0.42/0.72 thf(decl_219, type, esk80_3: refine432681134nres_b > b > set_Product_prod_b_b > b). 0.42/0.72 thf(decl_220, type, esk81_3: refine424419629nres_a > a > set_Product_prod_a_a > a). 0.42/0.72 thf(decl_221, type, esk82_3: refine424419629nres_a > b > set_Product_prod_b_a > a). 0.42/0.72 thf(decl_222, type, esk83_3: refine1340001348nres_b > refine200437059nres_a > set_Pr1830268627nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_223, type, esk84_3: refine432681134nres_b > refine432681134nres_b > set_Product_prod_b_b > b). 0.42/0.72 thf(decl_224, type, esk85_3: refine432681134nres_b > refine424419629nres_a > set_Product_prod_a_b > a). 0.42/0.72 thf(decl_225, type, esk86_3: refine424419629nres_a > refine432681134nres_b > set_Product_prod_b_a > b). 0.42/0.72 thf(decl_226, type, esk87_3: refine424419629nres_a > refine424419629nres_a > set_Product_prod_a_a > a). 0.42/0.72 thf(decl_227, type, esk88_4: refine200437059nres_a > set_Pr1830268627nres_b > refine1340001348nres_b > refine424419629nres_a > refine432681134nres_b). 0.42/0.72 thf(decl_228, type, esk89_3: refine200437059nres_a > set_Pr1830268627nres_b > refine1340001348nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_229, type, esk90_4: refine432681134nres_b > set_Product_prod_b_b > refine432681134nres_b > b > b). 0.42/0.72 thf(decl_230, type, esk91_3: refine432681134nres_b > set_Product_prod_b_b > refine432681134nres_b > b). 0.42/0.72 thf(decl_231, type, esk92_4: refine424419629nres_a > set_Product_prod_a_b > refine432681134nres_b > a > b). 0.42/0.72 thf(decl_232, type, esk93_3: refine424419629nres_a > set_Product_prod_a_b > refine432681134nres_b > a). 0.42/0.72 thf(decl_233, type, esk94_4: refine432681134nres_b > set_Product_prod_b_a > refine424419629nres_a > b > a). 0.42/0.72 thf(decl_234, type, esk95_3: refine432681134nres_b > set_Product_prod_b_a > refine424419629nres_a > b). 0.42/0.72 thf(decl_235, type, esk96_4: refine424419629nres_a > set_Product_prod_a_a > refine424419629nres_a > a > a). 0.42/0.72 thf(decl_236, type, esk97_3: refine424419629nres_a > set_Product_prod_a_a > refine424419629nres_a > a). 0.42/0.72 thf(decl_237, type, esk98_5: refine432681134nres_b > (b > refine432681134nres_b) > (b > $o) > (b > refine432681134nres_b) > (b > $o) > b). 0.42/0.72 thf(decl_238, type, esk99_5: refine432681134nres_b > (b > refine432681134nres_b) > (b > $o) > (b > refine424419629nres_a) > (a > $o) > b). 0.42/0.72 thf(decl_239, type, esk100_5: refine432681134nres_b > (b > refine424419629nres_a) > (a > $o) > (b > refine432681134nres_b) > (b > $o) > b). 0.42/0.72 thf(decl_240, type, esk101_5: refine432681134nres_b > (b > refine424419629nres_a) > (a > $o) > (b > refine424419629nres_a) > (a > $o) > b). 0.42/0.72 thf(decl_241, type, esk102_5: refine424419629nres_a > (a > refine432681134nres_b) > (b > $o) > (a > refine432681134nres_b) > (b > $o) > a). 0.42/0.72 thf(decl_242, type, esk103_5: refine424419629nres_a > (a > refine432681134nres_b) > (b > $o) > (a > refine424419629nres_a) > (a > $o) > a). 0.42/0.72 thf(decl_243, type, esk104_5: refine424419629nres_a > (a > refine424419629nres_a) > (a > $o) > (a > refine432681134nres_b) > (b > $o) > a). 0.42/0.72 thf(decl_244, type, esk105_5: refine424419629nres_a > (a > refine424419629nres_a) > (a > $o) > (a > refine424419629nres_a) > (a > $o) > a). 0.42/0.72 thf(decl_245, type, esk106_3: set_Pr1830268627nres_b > refine200437059nres_a > refine432681134nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_246, type, esk107_3: set_Product_prod_b_b > refine432681134nres_b > b > b). 0.42/0.72 thf(decl_247, type, esk108_3: set_Product_prod_a_b > refine424419629nres_a > b > a). 0.42/0.72 thf(decl_248, type, esk109_3: set_Product_prod_b_a > refine432681134nres_b > a > b). 0.42/0.72 thf(decl_249, type, esk110_3: set_Product_prod_a_a > refine424419629nres_a > a > a). 0.42/0.72 thf(decl_250, type, esk111_3: refine424419629nres_a > set_Pr1830268627nres_b > (refine432681134nres_b > $o) > refine432681134nres_b). 0.42/0.72 thf(decl_251, type, esk112_2: set_Pr1830268627nres_b > (produc602055581nres_b > $o) > produc602055581nres_b). 0.42/0.72 thf(decl_252, type, esk113_2: set_b > (b > $o) > b). 0.42/0.72 thf(decl_253, type, esk114_2: set_a > (a > $o) > a). 0.42/0.72 thf(decl_254, type, esk115_2: (b > $o) > (b > $o) > b). 0.42/0.72 thf(decl_255, type, esk116_2: (a > $o) > (a > $o) > a). 0.42/0.72 thf(decl_256, type, esk117_3: refine432681134nres_b > (b > $o) > (b > $o) > b). 0.42/0.72 thf(decl_257, type, esk118_3: refine424419629nres_a > (a > $o) > (a > $o) > a). 0.42/0.72 thf(decl_258, type, esk119_1: refine432681134nres_b > set_b). 0.42/0.72 thf(decl_259, type, esk120_1: refine424419629nres_a > set_a). 0.42/0.72 thf(decl_260, type, esk121_2: set_Pr1830268627nres_b > refine930118103nres_b > produc602055581nres_b). 0.42/0.72 thf(decl_261, type, esk122_2: set_a > refine424419629nres_a > a). 0.42/0.72 thf(decl_262, type, esk123_2: set_b > refine432681134nres_b > b). 0.42/0.72 thf(decl_263, type, esk124_3: set_Re205226339nres_a > set_Re1344790628nres_b > set_Pr1830268627nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_264, type, esk125_3: refine424419629nres_a > set_Pr1830268627nres_b > set_Re1344790628nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_265, type, esk126_2: set_Pr1830268627nres_b > set_Pr1830268627nres_b > produc602055581nres_b). 0.42/0.72 thf(decl_266, type, esk127_1: set_Pr1830268627nres_b > produc602055581nres_b). 0.42/0.72 thf(decl_267, type, esk128_1: set_Pr1830268627nres_b > produc602055581nres_b). 0.42/0.72 thf(decl_268, type, esk129_1: set_Pr1830268627nres_b > produc602055581nres_b). 0.42/0.72 thf(decl_269, type, esk130_2: set_Pr1830268627nres_b > set_Pr1830268627nres_b > produc602055581nres_b). 0.42/0.72 thf(decl_270, type, esk131_2: set_Pr1830268627nres_b > set_Pr1830268627nres_b > produc602055581nres_b). 0.42/0.72 thf(decl_271, type, esk132_2: set_Pr1830268627nres_b > set_Pr1830268627nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_272, type, esk133_2: set_Pr1830268627nres_b > set_Pr1830268627nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_273, type, esk134_1: set_Pr1830268627nres_b > produc602055581nres_b). 0.42/0.72 thf(decl_274, type, esk135_1: set_Pr1830268627nres_b > produc602055581nres_b). 0.42/0.72 thf(decl_275, type, esk136_0: produc602055581nres_b). 0.42/0.72 thf(decl_276, type, epred1_1: set_Pr1830268627nres_b > produc602055581nres_b > $o). 0.42/0.72 thf(decl_277, type, esk137_2: set_Pr1830268627nres_b > set_Pr1830268627nres_b > refine424419629nres_a). 0.42/0.72 thf(decl_278, type, esk138_2: set_Pr1830268627nres_b > set_Pr1830268627nres_b > refine432681134nres_b). 0.42/0.72 thf(decl_279, type, esk139_2: set_Product_prod_a_b > set_Product_prod_a_b > a). 0.42/0.72 thf(decl_280, type, esk140_2: set_Product_prod_a_b > set_Product_prod_a_b > b). 0.42/0.72 thf(conj_0, conjecture, ((rel2p_1651702303nres_b @ (relAPP11374829nres_b @ refine737062559el_a_b @ a2) @ (refine2063221604TURN_a @ x) @ (refine2063221605TURN_b @ y))<=>(rel2p_a_b @ a2 @ x @ y)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.42/0.72 thf(fact_10_relAPP__def, axiom, ((relAPP11374829nres_b)=(^[X18:set_Product_prod_a_b > set_Pr1830268627nres_b]:(X18))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_10_relAPP__def)). 0.42/0.72 thf(fact_293_SPEC__eq__is__RETURN_I1_J, axiom, ![X673:b]:(((refine1198353289_RES_b @ (collect_b @ (( ^[X674:b, X675:b]:(((X674)=(X675))) ) @ X673)))=(refine2063221605TURN_b @ X673))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_293_SPEC__eq__is__RETURN_I1_J)). 0.42/0.72 thf(fact_292_SPEC__eq__is__RETURN_I1_J, axiom, ![X670:a]:(((refine1198353288_RES_a @ (collect_a @ (( ^[X671:a, X672:a]:(((X671)=(X672))) ) @ X670)))=(refine2063221604TURN_a @ X670))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_292_SPEC__eq__is__RETURN_I1_J)). 0.42/0.72 thf(fact_124_rel2p__def, axiom, ((rel2p_1651702303nres_b)=(^[X213:set_Pr1830268627nres_b, X214:refine424419629nres_a, X215:refine432681134nres_b]:((member461009460nres_b @ (produc1145185103nres_b @ X214 @ X215) @ X213)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_124_rel2p__def)). 0.42/0.72 thf(fact_203_nres__relD, axiom, ![X417:refine424419629nres_a, X418:refine432681134nres_b, X419:set_Product_prod_a_b]:(((member461009460nres_b @ (produc1145185103nres_b @ X417 @ X418) @ (relAPP11374829nres_b @ refine737062559el_a_b @ X419))=>(ord_le519537037nres_a @ X417 @ (refine1441824854un_a_b @ X419 @ X418)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_203_nres__relD)). 0.42/0.72 thf(fact_206_RETURN__refine__iff, axiom, ![X424:a, X425:set_Product_prod_a_b, X426:b]:(((ord_le519537037nres_a @ (refine2063221604TURN_a @ X424) @ (refine1441824854un_a_b @ X425 @ (refine2063221605TURN_b @ X426)))<=>(member458171089od_a_b @ (product_Pair_a_b @ X424 @ X426) @ X425))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_206_RETURN__refine__iff)). 0.42/0.72 thf(fact_123_rel2p__def, axiom, ((rel2p_a_b)=(^[X210:set_Product_prod_a_b, X211:a, X212:b]:((member458171089od_a_b @ (product_Pair_a_b @ X211 @ X212) @ X210)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_123_rel2p__def)). 0.42/0.72 thf(fact_247_in__nres__rel__iff, axiom, ![X544:refine424419629nres_a, X545:refine432681134nres_b, X546:set_Product_prod_a_b]:(((member461009460nres_b @ (produc1145185103nres_b @ X544 @ X545) @ (relAPP11374829nres_b @ refine737062559el_a_b @ X546))<=>(ord_le519537037nres_a @ X544 @ (refine1441824854un_a_b @ X546 @ X545)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_247_in__nres__rel__iff)). 0.42/0.72 thf(c_0_9, negated_conjecture, ~(((rel2p_1651702303nres_b @ (relAPP11374829nres_b @ refine737062559el_a_b @ a2) @ (refine2063221604TURN_a @ x) @ (refine2063221605TURN_b @ y))<=>(rel2p_a_b @ a2 @ x @ y))), inference(assume_negation,[status(cth)],[conj_0])). 0.42/0.72 thf(c_0_10, plain, ![X1683:set_Product_prod_a_b > set_Pr1830268627nres_b]:(((relAPP11374829nres_b @ X1683)=(X1683))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_10_relAPP__def])])). 0.42/0.72 thf(c_0_11, plain, ![X673:b]:(((refine1198353289_RES_b @ (collect_b @ ($eq @ X673)))=(refine2063221605TURN_b @ X673))), inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_293_SPEC__eq__is__RETURN_I1_J])])). 0.42/0.72 thf(c_0_12, plain, ![X670:a]:(((refine1198353288_RES_a @ (collect_a @ ($eq @ X670)))=(refine2063221604TURN_a @ X670))), inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_292_SPEC__eq__is__RETURN_I1_J])])). 0.42/0.72 thf(c_0_13, plain, ![X1710:set_Pr1830268627nres_b, X1711:refine424419629nres_a, X1712:refine432681134nres_b]:(((rel2p_1651702303nres_b @ X1710 @ X1711 @ X1712)<=>(member461009460nres_b @ (produc1145185103nres_b @ X1711 @ X1712) @ X1710))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_124_rel2p__def])])). 0.42/0.72 thf(c_0_14, negated_conjecture, ((~(rel2p_1651702303nres_b @ (relAPP11374829nres_b @ refine737062559el_a_b @ a2) @ (refine2063221604TURN_a @ x) @ (refine2063221605TURN_b @ y))|~(rel2p_a_b @ a2 @ x @ y))&((rel2p_1651702303nres_b @ (relAPP11374829nres_b @ refine737062559el_a_b @ a2) @ (refine2063221604TURN_a @ x) @ (refine2063221605TURN_b @ y))|(rel2p_a_b @ a2 @ x @ y))), inference(fof_nnf,[status(thm)],[c_0_9])). 0.42/0.72 thf(c_0_15, plain, ![X1759:set_Product_prod_a_b > set_Pr1830268627nres_b]:(((relAPP11374829nres_b @ X1759)=(X1759))), inference(variable_rename,[status(thm)],[c_0_10])). 0.42/0.72 thf(c_0_16, plain, ![X2679:b]:(((refine1198353289_RES_b @ (collect_b @ ($eq @ X2679)))=(refine2063221605TURN_b @ X2679))), inference(variable_rename,[status(thm)],[c_0_11])). 0.42/0.72 thf(c_0_17, plain, ![X2678:a]:(((refine1198353288_RES_a @ (collect_a @ ($eq @ X2678)))=(refine2063221604TURN_a @ X2678))), inference(variable_rename,[status(thm)],[c_0_12])). 0.42/0.72 thf(c_0_18, plain, ![X2297:refine424419629nres_a, X2298:refine432681134nres_b, X2299:set_Product_prod_a_b]:((~(member461009460nres_b @ (produc1145185103nres_b @ X2297 @ X2298) @ (relAPP11374829nres_b @ refine737062559el_a_b @ X2299))|(ord_le519537037nres_a @ X2297 @ (refine1441824854un_a_b @ X2299 @ X2298)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_203_nres__relD])])). 0.42/0.72 thf(c_0_19, plain, ![X2048:set_Pr1830268627nres_b, X2049:refine424419629nres_a, X2050:refine432681134nres_b]:(((~(rel2p_1651702303nres_b @ X2048 @ X2049 @ X2050)|(member461009460nres_b @ (produc1145185103nres_b @ X2049 @ X2050) @ X2048))&(~(member461009460nres_b @ (produc1145185103nres_b @ X2049 @ X2050) @ X2048)|(rel2p_1651702303nres_b @ X2048 @ X2049 @ X2050)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])). 0.42/0.72 thf(c_0_20, negated_conjecture, ((rel2p_1651702303nres_b @ (relAPP11374829nres_b @ refine737062559el_a_b @ a2) @ (refine2063221604TURN_a @ x) @ (refine2063221605TURN_b @ y))|(rel2p_a_b @ a2 @ x @ y)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.42/0.72 thf(c_0_21, plain, ![X18:set_Product_prod_a_b > set_Pr1830268627nres_b]:(((relAPP11374829nres_b @ X18)=(X18))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.42/0.72 thf(c_0_22, plain, ![X9:b]:(((refine1198353289_RES_b @ (collect_b @ ($eq @ X9)))=(refine2063221605TURN_b @ X9))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.42/0.72 thf(c_0_23, plain, ![X7:a]:(((refine1198353288_RES_a @ (collect_a @ ($eq @ X7)))=(refine2063221604TURN_a @ X7))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.42/0.72 thf(c_0_24, plain, ![X2306:a, X2307:set_Product_prod_a_b, X2308:b]:(((~(ord_le519537037nres_a @ (refine2063221604TURN_a @ X2306) @ (refine1441824854un_a_b @ X2307 @ (refine2063221605TURN_b @ X2308)))|(member458171089od_a_b @ (product_Pair_a_b @ X2306 @ X2308) @ X2307))&(~(member458171089od_a_b @ (product_Pair_a_b @ X2306 @ X2308) @ X2307)|(ord_le519537037nres_a @ (refine2063221604TURN_a @ X2306) @ (refine1441824854un_a_b @ X2307 @ (refine2063221605TURN_b @ X2308)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_206_RETURN__refine__iff])])). 0.42/0.72 thf(c_0_25, plain, ![X1:refine424419629nres_a, X3:refine432681134nres_b, X13:set_Product_prod_a_b]:(((ord_le519537037nres_a @ X1 @ (refine1441824854un_a_b @ X13 @ X3))|~((member461009460nres_b @ (produc1145185103nres_b @ X1 @ X3) @ (relAPP11374829nres_b @ refine737062559el_a_b @ X13))))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.42/0.72 thf(c_0_26, plain, ![X1:refine424419629nres_a, X11:set_Pr1830268627nres_b, X3:refine432681134nres_b]:(((member461009460nres_b @ (produc1145185103nres_b @ X1 @ X3) @ X11)|~((rel2p_1651702303nres_b @ X11 @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.42/0.72 thf(c_0_27, negated_conjecture, ((rel2p_a_b @ a2 @ x @ y)|(rel2p_1651702303nres_b @ (refine737062559el_a_b @ a2) @ (refine1198353288_RES_a @ (collect_a @ ($eq @ x))) @ (refine1198353289_RES_b @ (collect_b @ ($eq @ y))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21]), c_0_22]), c_0_23])). 0.42/0.72 thf(c_0_28, plain, ![X1707:set_Product_prod_a_b, X1708:a, X1709:b]:(((rel2p_a_b @ X1707 @ X1708 @ X1709)<=>(member458171089od_a_b @ (product_Pair_a_b @ X1708 @ X1709) @ X1707))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_123_rel2p__def])])). 0.42/0.72 thf(c_0_29, plain, ![X7:a, X13:set_Product_prod_a_b, X9:b]:(((member458171089od_a_b @ (product_Pair_a_b @ X7 @ X9) @ X13)|~((ord_le519537037nres_a @ (refine2063221604TURN_a @ X7) @ (refine1441824854un_a_b @ X13 @ (refine2063221605TURN_b @ X9)))))), inference(split_conjunct,[status(thm)],[c_0_24])). 0.42/0.72 thf(c_0_30, plain, ![X1:refine424419629nres_a, X3:refine432681134nres_b, X13:set_Product_prod_a_b]:(((ord_le519537037nres_a @ X1 @ (refine1441824854un_a_b @ X13 @ X3))|~((member461009460nres_b @ (produc1145185103nres_b @ X1 @ X3) @ (refine737062559el_a_b @ X13))))), inference(rw,[status(thm)],[c_0_25, c_0_21])). 0.42/0.72 thf(c_0_31, negated_conjecture, ((member461009460nres_b @ (produc1145185103nres_b @ (refine1198353288_RES_a @ (collect_a @ ($eq @ x))) @ (refine1198353289_RES_b @ (collect_b @ ($eq @ y)))) @ (refine737062559el_a_b @ a2))|(rel2p_a_b @ a2 @ x @ y)), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.42/0.72 thf(c_0_32, plain, ![X2045:set_Product_prod_a_b, X2046:a, X2047:b]:(((~(rel2p_a_b @ X2045 @ X2046 @ X2047)|(member458171089od_a_b @ (product_Pair_a_b @ X2046 @ X2047) @ X2045))&(~(member458171089od_a_b @ (product_Pair_a_b @ X2046 @ X2047) @ X2045)|(rel2p_a_b @ X2045 @ X2046 @ X2047)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])). 0.42/0.72 thf(c_0_33, negated_conjecture, (~((rel2p_1651702303nres_b @ (relAPP11374829nres_b @ refine737062559el_a_b @ a2) @ (refine2063221604TURN_a @ x) @ (refine2063221605TURN_b @ y)))|~((rel2p_a_b @ a2 @ x @ y))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.42/0.72 thf(c_0_34, plain, ![X7:a, X13:set_Product_prod_a_b, X9:b]:(((member458171089od_a_b @ (product_Pair_a_b @ X7 @ X9) @ X13)|~((ord_le519537037nres_a @ (refine1198353288_RES_a @ (collect_a @ ($eq @ X7))) @ (refine1441824854un_a_b @ X13 @ (refine1198353289_RES_b @ (collect_b @ ($eq @ X9)))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_22]), c_0_23])). 0.42/0.72 thf(c_0_35, negated_conjecture, ((ord_le519537037nres_a @ (refine1198353288_RES_a @ (collect_a @ ($eq @ x))) @ (refine1441824854un_a_b @ a2 @ (refine1198353289_RES_b @ (collect_b @ ($eq @ y)))))|(rel2p_a_b @ a2 @ x @ y)), inference(spm,[status(thm)],[c_0_30, c_0_31])). 0.42/0.72 thf(c_0_36, plain, ![X7:a, X13:set_Product_prod_a_b, X9:b]:(((member458171089od_a_b @ (product_Pair_a_b @ X7 @ X9) @ X13)|~((rel2p_a_b @ X13 @ X7 @ X9)))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.42/0.72 thf(c_0_37, negated_conjecture, (~((rel2p_a_b @ a2 @ x @ y))|~((rel2p_1651702303nres_b @ (refine737062559el_a_b @ a2) @ (refine1198353288_RES_a @ (collect_a @ ($eq @ x))) @ (refine1198353289_RES_b @ (collect_b @ ($eq @ y)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_21]), c_0_22]), c_0_23])). 0.42/0.72 thf(c_0_38, plain, ![X1:refine424419629nres_a, X3:refine432681134nres_b, X11:set_Pr1830268627nres_b]:(((rel2p_1651702303nres_b @ X11 @ X1 @ X3)|~((member461009460nres_b @ (produc1145185103nres_b @ X1 @ X3) @ X11)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.42/0.72 thf(c_0_39, plain, ![X7:a, X9:b, X13:set_Product_prod_a_b]:(((rel2p_a_b @ X13 @ X7 @ X9)|~((member458171089od_a_b @ (product_Pair_a_b @ X7 @ X9) @ X13)))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.42/0.72 thf(c_0_40, negated_conjecture, (member458171089od_a_b @ (product_Pair_a_b @ x @ y) @ a2), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])). 0.42/0.72 thf(c_0_41, plain, ![X2499:refine424419629nres_a, X2500:refine432681134nres_b, X2501:set_Product_prod_a_b]:(((~(member461009460nres_b @ (produc1145185103nres_b @ X2499 @ X2500) @ (relAPP11374829nres_b @ refine737062559el_a_b @ X2501))|(ord_le519537037nres_a @ X2499 @ (refine1441824854un_a_b @ X2501 @ X2500)))&(~(ord_le519537037nres_a @ X2499 @ (refine1441824854un_a_b @ X2501 @ X2500))|(member461009460nres_b @ (produc1145185103nres_b @ X2499 @ X2500) @ (relAPP11374829nres_b @ refine737062559el_a_b @ X2501))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_247_in__nres__rel__iff])])). 0.42/0.72 thf(c_0_42, negated_conjecture, (~((member461009460nres_b @ (produc1145185103nres_b @ (refine1198353288_RES_a @ (collect_a @ ($eq @ x))) @ (refine1198353289_RES_b @ (collect_b @ ($eq @ y)))) @ (refine737062559el_a_b @ a2)))|~((rel2p_a_b @ a2 @ x @ y))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 0.42/0.72 thf(c_0_43, negated_conjecture, (rel2p_a_b @ a2 @ x @ y), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.42/0.72 thf(c_0_44, plain, ![X1:refine424419629nres_a, X13:set_Product_prod_a_b, X3:refine432681134nres_b]:(((member461009460nres_b @ (produc1145185103nres_b @ X1 @ X3) @ (relAPP11374829nres_b @ refine737062559el_a_b @ X13))|~((ord_le519537037nres_a @ X1 @ (refine1441824854un_a_b @ X13 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.42/0.72 thf(c_0_45, negated_conjecture, ~((member461009460nres_b @ (produc1145185103nres_b @ (refine1198353288_RES_a @ (collect_a @ ($eq @ x))) @ (refine1198353289_RES_b @ (collect_b @ ($eq @ y)))) @ (refine737062559el_a_b @ a2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])). 0.42/0.72 thf(c_0_46, plain, ![X1:refine424419629nres_a, X13:set_Product_prod_a_b, X3:refine432681134nres_b]:(((member461009460nres_b @ (produc1145185103nres_b @ X1 @ X3) @ (refine737062559el_a_b @ X13))|~((ord_le519537037nres_a @ X1 @ (refine1441824854un_a_b @ X13 @ X3))))), inference(rw,[status(thm)],[c_0_44, c_0_21])). 0.42/0.72 thf(c_0_47, plain, ![X7:a, X9:b, X13:set_Product_prod_a_b]:(((ord_le519537037nres_a @ (refine2063221604TURN_a @ X7) @ (refine1441824854un_a_b @ X13 @ (refine2063221605TURN_b @ X9)))|~((member458171089od_a_b @ (product_Pair_a_b @ X7 @ X9) @ X13)))), inference(split_conjunct,[status(thm)],[c_0_24])). 0.42/0.72 thf(c_0_48, negated_conjecture, ~((ord_le519537037nres_a @ (refine1198353288_RES_a @ (collect_a @ ($eq @ x))) @ (refine1441824854un_a_b @ a2 @ (refine1198353289_RES_b @ (collect_b @ ($eq @ y)))))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 0.42/0.72 thf(c_0_49, plain, ![X7:a, X9:b, X13:set_Product_prod_a_b]:(((ord_le519537037nres_a @ (refine1198353288_RES_a @ (collect_a @ ($eq @ X7))) @ (refine1441824854un_a_b @ X13 @ (refine1198353289_RES_b @ (collect_b @ ($eq @ X9)))))|~((member458171089od_a_b @ (product_Pair_a_b @ X7 @ X9) @ X13)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_22]), c_0_23])). 0.42/0.72 thf(c_0_50, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_40])]), ['proof']). 0.42/0.72 # SZS output end CNFRefutation 0.42/0.72 # Parsed axioms : 502 0.42/0.72 # Removed by relevancy pruning/SinE : 0 0.42/0.72 # Initial clauses : 879 0.42/0.72 # Removed in clause preprocessing : 201 0.42/0.72 # Initial clauses in saturation : 678 0.42/0.72 # Processed clauses : 1139 0.42/0.72 # ...of these trivial : 41 0.42/0.72 # ...subsumed : 202 0.42/0.72 # ...remaining for further processing : 896 0.42/0.72 # Other redundant clauses eliminated : 88 0.42/0.72 # Clauses deleted for lack of memory : 0 0.42/0.72 # Backward-subsumed : 0 0.42/0.72 # Backward-rewritten : 23 0.42/0.72 # Generated clauses : 968 0.42/0.72 # ...of the previous two non-redundant : 648 0.42/0.72 # ...aggressively subsumed : 0 0.42/0.72 # Contextual simplify-reflections : 62 0.42/0.72 # Paramodulations : 849 0.42/0.72 # Factorizations : 0 0.42/0.72 # NegExts : 4 0.42/0.72 # Equation resolutions : 101 0.42/0.72 # Propositional unsat checks : 0 0.42/0.72 # Propositional check models : 0 0.42/0.72 # Propositional check unsatisfiable : 0 0.42/0.72 # Propositional clauses : 0 0.42/0.72 # Propositional clauses after purity: 0 0.42/0.72 # Propositional unsat core size : 0 0.42/0.72 # Propositional preprocessing time : 0.000 0.42/0.72 # Propositional encoding time : 0.000 0.42/0.72 # Propositional solver time : 0.000 0.42/0.72 # Success case prop preproc time : 0.000 0.42/0.72 # Success case prop encoding time : 0.000 0.42/0.72 # Success case prop solver time : 0.000 0.42/0.72 # Current number of processed clauses : 322 0.42/0.72 # Positive orientable unit clauses : 83 0.42/0.72 # Positive unorientable unit clauses: 0 0.42/0.72 # Negative unit clauses : 18 0.42/0.72 # Non-unit-clauses : 221 0.42/0.72 # Current number of unprocessed clauses: 654 0.42/0.72 # ...number of literals in the above : 1755 0.42/0.72 # Current number of archived formulas : 0 0.42/0.72 # Current number of archived clauses : 512 0.42/0.72 # Clause-clause subsumption calls (NU) : 48150 0.42/0.72 # Rec. Clause-clause subsumption calls : 39836 0.42/0.72 # Non-unit clause-clause subsumptions : 230 0.42/0.72 # Unit Clause-clause subsumption calls : 1004 0.42/0.72 # Rewrite failures with RHS unbound : 0 0.42/0.72 # BW rewrite match attempts : 50 0.42/0.72 # BW rewrite match successes : 11 0.42/0.72 # Condensation attempts : 0 0.42/0.72 # Condensation successes : 0 0.42/0.72 # Termbank termtop insertions : 70575 0.42/0.72 0.42/0.72 # ------------------------------------------------- 0.42/0.72 # User time : 0.167 s 0.42/0.72 # System time : 0.016 s 0.42/0.72 # Total time : 0.182 s 0.42/0.72 # Maximum resident set size: 5792 pages 0.42/0.72 0.42/0.72 # ------------------------------------------------- 0.42/0.72 # User time : 0.192 s 0.42/0.72 # System time : 0.019 s 0.42/0.72 # Total time : 0.211 s 0.42/0.72 # Maximum resident set size: 2856 pages 0.42/0.72 EOF