0.08/0.34 % Problem : SLH0093^1 : TPTP v8.2.0. Released v8.2.0. 0.08/0.35 % Command : run_E %s %d THM 0.34/0.54 % Computer : n021.cluster.edu 0.34/0.54 % Model : x86_64 x86_64 0.34/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.34/0.54 % Memory : 8042.1875MB 0.34/0.54 % OS : Linux 3.10.0-693.el7.x86_64 0.34/0.54 % CPULimit : 30 0.34/0.54 % WCLimit : 30 0.34/0.54 % DateTime : Mon Jul 3 09:58:22 EDT 2023 0.34/0.54 % CPUTime : 0.39/0.61 The problem SPC is TH0_THM_EQU_NAR 0.39/0.61 Running higher-order on 1 cores theorem proving 0.39/0.61 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/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007 0.39/0.61 # Version: 3.0pre003-ho 1.26/1.48 # Preprocessing class: HMLMSMSMSSMNHSA. 1.26/1.48 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.26/1.48 # Starting new_ho_10 with 30s (1) cores 1.26/1.48 # new_ho_10 with pid 28190 completed with status 0 1.26/1.48 # Result found by new_ho_10 1.26/1.48 # Preprocessing class: HMLMSMSMSSMNHSA. 1.26/1.48 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.26/1.48 # Starting new_ho_10 with 30s (1) cores 1.26/1.48 # No SInE strategy applied 1.26/1.48 # Search class: HGHSM-SMLM31-DHSFFFBN 1.26/1.48 # partial match(1): HGHSM-SMLM31-MHSFFFBN 1.26/1.48 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 1.26/1.48 # Starting new_bool_1 with 19s (1) cores 1.26/1.48 # new_bool_1 with pid 28191 completed with status 0 1.26/1.48 # Result found by new_bool_1 1.26/1.48 # Preprocessing class: HMLMSMSMSSMNHSA. 1.26/1.48 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.26/1.48 # Starting new_ho_10 with 30s (1) cores 1.26/1.48 # No SInE strategy applied 1.26/1.48 # Search class: HGHSM-SMLM31-DHSFFFBN 1.26/1.48 # partial match(1): HGHSM-SMLM31-MHSFFFBN 1.26/1.48 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 1.26/1.48 # Starting new_bool_1 with 19s (1) cores 1.26/1.48 # Preprocessing time : 0.037 s 1.30/1.48 # Presaturation interreduction done 1.30/1.48 1.30/1.48 # Proof found! 1.30/1.48 # SZS status Theorem 1.30/1.48 # SZS output start CNFRefutation 1.30/1.48 thf(decl_22, type, a_l_co7008843373686234386t_unit: partia2670972154091845814t_unit > list_a > set_list_a > set_list_a). 1.30/1.48 thf(decl_23, type, a_l_co3923087131696239825t_unit: partia4026993951477142903t_unit > list_b > set_list_b > set_list_b). 1.30/1.48 thf(decl_24, type, a_l_coset_a_c: partia8877618634411419171xt_a_c > a > set_a > set_a). 1.30/1.48 thf(decl_25, type, a_l_coset_b_d: partia1897943568983147621xt_b_d > b > set_b > set_b). 1.30/1.48 thf(decl_26, type, abelia8217020544048703198it_a_c: partia2670972154091845814t_unit > partia8877618634411419171xt_a_c > (list_a > a) > $o). 1.30/1.48 thf(decl_27, type, abelia5429564962076027166it_b_d: partia2670972154091845814t_unit > partia1897943568983147621xt_b_d > (list_a > b) > $o). 1.30/1.48 thf(decl_28, type, abelia7631687947038995229it_a_c: partia4026993951477142903t_unit > partia8877618634411419171xt_a_c > (list_b > a) > $o). 1.30/1.48 thf(decl_29, type, abelia4844232365066319197it_b_d: partia4026993951477142903t_unit > partia1897943568983147621xt_b_d > (list_b > b) > $o). 1.30/1.48 thf(decl_30, type, abelia1482636609678639966t_unit: partia8877618634411419171xt_a_c > partia2670972154091845814t_unit > (a > list_a) > $o). 1.30/1.48 thf(decl_31, type, abelia7620252404543421213t_unit: partia8877618634411419171xt_a_c > partia4026993951477142903t_unit > (a > list_b) > $o). 1.30/1.48 thf(decl_32, type, abelia7774952222452699991_c_a_c: partia8877618634411419171xt_a_c > partia8877618634411419171xt_a_c > (a > a) > $o). 1.30/1.48 thf(decl_33, type, abelia4987496640480023959_c_b_d: partia8877618634411419171xt_a_c > partia1897943568983147621xt_b_d > (a > b) > $o). 1.30/1.48 thf(decl_34, type, abelia7458419344388244894t_unit: partia1897943568983147621xt_b_d > partia2670972154091845814t_unit > (b > list_a) > $o). 1.30/1.48 thf(decl_35, type, abelia4372663102398250333t_unit: partia1897943568983147621xt_b_d > partia4026993951477142903t_unit > (b > list_b) > $o). 1.30/1.48 thf(decl_36, type, abelia5635760838080853399_d_a_c: partia1897943568983147621xt_b_d > partia8877618634411419171xt_a_c > (b > a) > $o). 1.30/1.48 thf(decl_37, type, abelia2848305256108177367_d_b_d: partia1897943568983147621xt_b_d > partia1897943568983147621xt_b_d > (b > b) > $o). 1.30/1.48 thf(decl_38, type, partia5038748322285217333t_unit: partia5333488208502193986t_unit > set_list_list_list_a). 1.30/1.48 thf(decl_39, type, partia7846567554643003126t_unit: partia7279976654324334595t_unit > set_list_list_list_b). 1.30/1.48 thf(decl_40, type, partia2464479390973590831t_unit: partia2956882679547061052t_unit > set_list_list_a). 1.30/1.48 thf(decl_41, type, partia8406058877693316080t_unit: partia2587409828943155709t_unit > set_list_list_b). 1.30/1.48 thf(decl_42, type, partia5361259788508890537t_unit: partia2670972154091845814t_unit > set_list_a). 1.30/1.48 thf(decl_43, type, partia1381092143316337258t_unit: partia4026993951477142903t_unit > set_list_b). 1.30/1.48 thf(decl_44, type, partia778085601923319190xt_a_c: partia8877618634411419171xt_a_c > set_a). 1.30/1.48 thf(decl_45, type, partia8782771468121683032xt_b_d: partia1897943568983147621xt_b_d > set_b). 1.30/1.48 thf(decl_46, type, essent703981920984620806t_unit: partia2670972154091845814t_unit > list_list_a > list_list_a > $o). 1.30/1.48 thf(decl_47, type, essent4653736668955345094t_unit: partia4026993951477142903t_unit > list_list_b > list_list_b > $o). 1.30/1.48 thf(decl_48, type, factor7181967632740204193t_unit: partia2670972154091845814t_unit > list_list_a > list_a > $o). 1.30/1.48 thf(decl_49, type, factor1908350343856152673t_unit: partia4026993951477142903t_unit > list_list_b > list_b > $o). 1.30/1.48 thf(decl_50, type, irredu4439051761327310013t_unit: partia2956882679547061052t_unit > list_list_a > $o). 1.30/1.48 thf(decl_51, type, irredu4230924414530676029t_unit: partia2670972154091845814t_unit > list_a > $o). 1.30/1.48 thf(decl_52, type, irredu8180679162501400317t_unit: partia4026993951477142903t_unit > list_b > $o). 1.30/1.48 thf(decl_53, type, irredu6211895651204806704xt_a_c: partia8877618634411419171xt_a_c > a > $o). 1.30/1.48 thf(decl_54, type, irredu320915990819274225xt_b_d: partia1897943568983147621xt_b_d > b > $o). 1.30/1.48 thf(decl_55, type, monoid4303264861975686087t_unit: partia2670972154091845814t_unit > $o). 1.30/1.48 thf(decl_56, type, monoid8253019609946410375t_unit: partia4026993951477142903t_unit > $o). 1.30/1.48 thf(decl_57, type, prime_1232919612140715622t_unit: partia2956882679547061052t_unit > list_list_a > $o). 1.30/1.48 thf(decl_58, type, prime_2011924034616061926t_unit: partia2670972154091845814t_unit > list_a > $o). 1.30/1.48 thf(decl_59, type, prime_5961678782586786214t_unit: partia4026993951477142903t_unit > list_b > $o). 1.30/1.48 thf(decl_60, type, prime_a_ring_ext_a_c: partia8877618634411419171xt_a_c > a > $o). 1.30/1.48 thf(decl_61, type, prime_b_ring_ext_b_d: partia1897943568983147621xt_b_d > b > $o). 1.30/1.48 thf(decl_62, type, inj_on_int_int: (int > int) > set_int > $o). 1.30/1.48 thf(decl_63, type, inj_on_list_a_list_a: (list_a > list_a) > set_list_a > $o). 1.30/1.48 thf(decl_64, type, inj_on_list_a_a: (list_a > a) > set_list_a > $o). 1.30/1.48 thf(decl_65, type, inj_on_list_a_b: (list_a > b) > set_list_a > $o). 1.30/1.48 thf(decl_66, type, inj_on_list_b_list_b: (list_b > list_b) > set_list_b > $o). 1.30/1.48 thf(decl_67, type, inj_on_list_b_a: (list_b > a) > set_list_b > $o). 1.30/1.48 thf(decl_68, type, inj_on_list_b_b: (list_b > b) > set_list_b > $o). 1.30/1.48 thf(decl_69, type, inj_on_a_a: (a > a) > set_a > $o). 1.30/1.48 thf(decl_70, type, inj_on_a_b: (a > b) > set_a > $o). 1.30/1.48 thf(decl_71, type, inj_on_b_list_a: (b > list_a) > set_b > $o). 1.30/1.48 thf(decl_72, type, inj_on_b_list_b: (b > list_b) > set_b > $o). 1.30/1.48 thf(decl_73, type, inj_on_b_a: (b > a) > set_b > $o). 1.30/1.48 thf(decl_74, type, inj_on_b_b: (b > b) > set_b > $o). 1.30/1.48 thf(decl_75, type, the_in2841908037993899827list_a: set_list_a > (list_a > list_a) > list_a > list_a). 1.30/1.48 thf(decl_76, type, the_inv_into_a_a: set_a > (a > a) > a > a). 1.30/1.48 thf(decl_77, type, the_inv_into_a_b: set_a > (a > b) > b > a). 1.30/1.48 thf(decl_78, type, the_inv_into_b_a: set_b > (b > a) > a > b). 1.30/1.48 thf(decl_79, type, the_inv_into_b_b: set_b > (b > b) > b > b). 1.30/1.48 thf(decl_80, type, units_4903515905731149798t_unit: partia2956882679547061052t_unit > set_list_list_a). 1.30/1.48 thf(decl_81, type, units_6858163862972288294t_unit: partia2587409828943155709t_unit > set_list_list_b). 1.30/1.48 thf(decl_82, type, units_2932844235741507942t_unit: partia2670972154091845814t_unit > set_list_a). 1.30/1.48 thf(decl_83, type, units_6882598983712232230t_unit: partia4026993951477142903t_unit > set_list_b). 1.30/1.48 thf(decl_84, type, units_a_ring_ext_a_c: partia8877618634411419171xt_a_c > set_a). 1.30/1.48 thf(decl_85, type, units_b_ring_ext_b_d: partia1897943568983147621xt_b_d > set_b). 1.30/1.48 thf(decl_86, type, mult_l4853965630390486993t_unit: partia2956882679547061052t_unit > list_list_a > list_list_a > list_list_a). 1.30/1.48 thf(decl_87, type, mult_l6808613587631625489t_unit: partia2587409828943155709t_unit > list_list_b > list_list_b > list_list_b). 1.30/1.48 thf(decl_88, type, mult_l7073676228092353617t_unit: partia2670972154091845814t_unit > list_a > list_a > list_a). 1.30/1.48 thf(decl_89, type, mult_l1800058939208302097t_unit: partia4026993951477142903t_unit > list_b > list_b > list_b). 1.30/1.48 thf(decl_90, type, mult_a_ring_ext_a_c: partia8877618634411419171xt_a_c > a > a > a). 1.30/1.48 thf(decl_91, type, mult_b_ring_ext_b_d: partia1897943568983147621xt_b_d > b > b > b). 1.30/1.48 thf(decl_92, type, one_li8328186300101108157t_unit: partia2670972154091845814t_unit > list_a). 1.30/1.48 thf(decl_93, type, one_li3054569011217056637t_unit: partia4026993951477142903t_unit > list_b). 1.30/1.48 thf(decl_94, type, one_a_ring_ext_a_c: partia8877618634411419171xt_a_c > a). 1.30/1.48 thf(decl_95, type, one_b_ring_ext_b_d: partia1897943568983147621xt_b_d > b). 1.30/1.48 thf(decl_96, type, pow_li8767036347513248878it_nat: partia2587409828943155709t_unit > list_list_b > nat > list_list_b). 1.30/1.48 thf(decl_97, type, minus_minus_int: int > int > int). 1.30/1.48 thf(decl_98, type, minus_minus_set_a_b: set_a_b > set_a_b > set_a_b). 1.30/1.48 thf(decl_99, type, minus_5335179877275218001list_a: set_list_list_a > set_list_list_a > set_list_list_a). 1.30/1.48 thf(decl_100, type, minus_2813995358986182354list_b: set_list_list_b > set_list_list_b > set_list_list_b). 1.30/1.48 thf(decl_101, type, minus_646659088055828811list_a: set_list_a > set_list_a > set_list_a). 1.30/1.48 thf(decl_102, type, minus_717693128102174796list_b: set_list_b > set_list_b > set_list_b). 1.30/1.48 thf(decl_103, type, minus_minus_set_a: set_a > set_a > set_a). 1.30/1.48 thf(decl_104, type, minus_minus_set_b: set_b > set_b > set_b). 1.30/1.48 thf(decl_105, type, uminus_uminus_int: int > int). 1.30/1.48 thf(decl_106, type, cgenid9131348535277946915t_unit: partia2670972154091845814t_unit > list_a > set_list_a). 1.30/1.48 thf(decl_107, type, cgenid3857731246393895395t_unit: partia4026993951477142903t_unit > list_b > set_list_b). 1.30/1.48 thf(decl_108, type, cgenid547466214215511830xt_a_c: partia8877618634411419171xt_a_c > a > set_a). 1.30/1.48 thf(decl_109, type, cgenid3879858590684755159xt_b_d: partia1897943568983147621xt_b_d > b > set_b). 1.30/1.48 thf(decl_110, type, genide3243992037924705879t_unit: partia2670972154091845814t_unit > set_list_a > set_list_a). 1.30/1.48 thf(decl_111, type, genide158235795934711318t_unit: partia4026993951477142903t_unit > set_list_b > set_list_b). 1.30/1.48 thf(decl_112, type, maxima6585700282301356660t_unit: set_list_a > partia2670972154091845814t_unit > $o). 1.30/1.48 thf(decl_113, type, maxima3499944040311362099t_unit: set_list_b > partia4026993951477142903t_unit > $o). 1.30/1.48 thf(decl_114, type, maximalideal_a_c: set_a > partia8877618634411419171xt_a_c > $o). 1.30/1.48 thf(decl_115, type, maximalideal_b_d: set_b > partia1897943568983147621xt_b_d > $o). 1.30/1.48 thf(decl_116, type, primei6309817859076077608t_unit: set_list_a > partia2670972154091845814t_unit > $o). 1.30/1.48 thf(decl_117, type, primei3224061617086083047t_unit: set_list_b > partia4026993951477142903t_unit > $o). 1.30/1.48 thf(decl_118, type, primeideal_a_c: set_a > partia8877618634411419171xt_a_c > $o). 1.30/1.48 thf(decl_119, type, primeideal_b_d: set_b > partia1897943568983147621xt_b_d > $o). 1.30/1.48 thf(decl_120, type, princi8786919440553033881t_unit: set_list_a > partia2670972154091845814t_unit > $o). 1.30/1.48 thf(decl_121, type, princi5701163198563039320t_unit: set_list_b > partia4026993951477142903t_unit > $o). 1.30/1.48 thf(decl_122, type, principalideal_a_c: set_a > partia8877618634411419171xt_a_c > $o). 1.30/1.48 thf(decl_123, type, principalideal_b_d: set_b > partia1897943568983147621xt_b_d > $o). 1.30/1.48 thf(decl_124, type, append_list_a: list_list_a > list_list_a > list_list_a). 1.30/1.48 thf(decl_125, type, append_list_b: list_list_b > list_list_b > list_list_b). 1.30/1.48 thf(decl_126, type, append_a: list_a > list_a > list_a). 1.30/1.48 thf(decl_127, type, append_b: list_b > list_b > list_b). 1.30/1.48 thf(decl_128, type, cons_list_a: list_a > list_list_a > list_list_a). 1.30/1.48 thf(decl_129, type, cons_list_b: list_b > list_list_b > list_list_b). 1.30/1.48 thf(decl_130, type, cons_a: a > list_a > list_a). 1.30/1.48 thf(decl_131, type, cons_b: b > list_b > list_b). 1.30/1.48 thf(decl_132, type, nil_list_list_a: list_list_list_a). 1.30/1.48 thf(decl_133, type, nil_list_a: list_list_a). 1.30/1.48 thf(decl_134, type, nil_list_b: list_list_b). 1.30/1.48 thf(decl_135, type, nil_a: list_a). 1.30/1.48 thf(decl_136, type, nil_b: list_b). 1.30/1.48 thf(decl_137, type, hd_b: list_b > b). 1.30/1.48 thf(decl_138, type, map_li5729356230488778442list_a: (list_a > list_list_a) > list_list_a > list_list_list_a). 1.30/1.48 thf(decl_139, type, map_li4464339650582430090list_b: (list_b > list_list_b) > list_list_b > list_list_list_b). 1.30/1.48 thf(decl_140, type, map_a_list_a: (a > list_a) > list_a > list_list_a). 1.30/1.48 thf(decl_141, type, map_a_b: (a > b) > list_a > list_b). 1.30/1.48 thf(decl_142, type, map_b_list_b: (b > list_b) > list_b > list_list_b). 1.30/1.48 thf(decl_143, type, set_list_a2: list_list_a > set_list_a). 1.30/1.48 thf(decl_144, type, set_list_b2: list_list_b > set_list_b). 1.30/1.48 thf(decl_145, type, set_a2: list_a > set_a). 1.30/1.48 thf(decl_146, type, set_b2: list_b > set_b). 1.30/1.48 thf(decl_147, type, bot_bot_set_a_b: set_a_b). 1.30/1.48 thf(decl_148, type, bot_bo1875519244922727510list_a: set_list_list_a). 1.30/1.48 thf(decl_149, type, bot_bo8577706763488467671list_b: set_list_list_b). 1.30/1.48 thf(decl_150, type, bot_bot_set_list_a: set_list_a). 1.30/1.48 thf(decl_151, type, bot_bot_set_list_b: set_list_b). 1.30/1.48 thf(decl_152, type, bot_bot_set_a: set_a). 1.30/1.48 thf(decl_153, type, bot_bot_set_b: set_b). 1.30/1.48 thf(decl_154, type, ord_less_eq_set_a_b: set_a_b > set_a_b > $o). 1.30/1.48 thf(decl_155, type, ord_le8488217952732425610list_a: set_list_list_a > set_list_list_a > $o). 1.30/1.48 thf(decl_156, type, ord_le8861187494160871172list_a: set_list_a > set_list_a > $o). 1.30/1.48 thf(decl_157, type, ord_le8932221534207217157list_b: set_list_b > set_list_b > $o). 1.30/1.48 thf(decl_158, type, ord_less_eq_set_a: set_a > set_a > $o). 1.30/1.48 thf(decl_159, type, ord_less_eq_set_b: set_b > set_b > $o). 1.30/1.48 thf(decl_160, type, polyno8016796738000020810t_unit: partia2670972154091845814t_unit > list_list_a > list_list_a > $o). 1.30/1.48 thf(decl_161, type, polyno4931040496010026249t_unit: partia4026993951477142903t_unit > list_list_b > list_list_b > $o). 1.30/1.48 thf(decl_162, type, polyno5814909790663948099es_a_c: partia8877618634411419171xt_a_c > list_a > list_a > $o). 1.30/1.48 thf(decl_163, type, polyno3027454208691272067es_b_d: partia1897943568983147621xt_b_d > list_b > list_b > $o). 1.30/1.48 thf(decl_164, type, polyno3522816881121920896t_unit: partia2670972154091845814t_unit > list_a > nat > list_list_a). 1.30/1.48 thf(decl_165, type, polyno437060639131926335t_unit: partia4026993951477142903t_unit > list_b > nat > list_list_b). 1.30/1.48 thf(decl_166, type, polyno2922411391617481337se_a_c: partia8877618634411419171xt_a_c > a > nat > list_a). 1.30/1.48 thf(decl_167, type, polyno134955809644805305se_b_d: partia1897943568983147621xt_b_d > b > nat > list_b). 1.30/1.48 thf(decl_168, type, polyno6951661231331188332t_unit: partia2670972154091845814t_unit > list_list_a > list_a > $o). 1.30/1.48 thf(decl_169, type, polyno3865904989341193771t_unit: partia4026993951477142903t_unit > list_list_b > list_b > $o). 1.30/1.48 thf(decl_170, type, polyno4133073214067823461ot_a_c: partia8877618634411419171xt_a_c > list_a > a > $o). 1.30/1.48 thf(decl_171, type, polyno1345617632095147429ot_b_d: partia1897943568983147621xt_b_d > list_b > b > $o). 1.30/1.48 thf(decl_172, type, const_6738166269504826821t_unit: partia2670972154091845814t_unit > list_list_a > list_a). 1.30/1.48 thf(decl_173, type, const_3652410027514832260t_unit: partia4026993951477142903t_unit > list_list_b > list_b). 1.30/1.48 thf(decl_174, type, const_term_a_c: partia8877618634411419171xt_a_c > list_a > a). 1.30/1.48 thf(decl_175, type, const_term_b_d: partia1897943568983147621xt_b_d > list_b > b). 1.30/1.48 thf(decl_176, type, eval_l1088911609197519410t_unit: partia2956882679547061052t_unit > list_list_list_a > list_list_a > list_list_a). 1.30/1.48 thf(decl_177, type, eval_l5290128584365861489t_unit: partia2587409828943155709t_unit > list_list_list_b > list_list_b > list_list_b). 1.30/1.48 thf(decl_178, type, eval_l34571156754992824t_unit: partia2670972154091845814t_unit > list_list_a > list_a > list_a). 1.30/1.48 thf(decl_179, type, eval_l6172186951619774071t_unit: partia4026993951477142903t_unit > list_list_b > list_b > list_b). 1.30/1.48 thf(decl_180, type, eval_a_c: partia8877618634411419171xt_a_c > list_a > a > a). 1.30/1.48 thf(decl_181, type, eval_b_d: partia1897943568983147621xt_b_d > list_b > b > b). 1.30/1.48 thf(decl_182, type, normal1297324897130370429t_unit: partia2956882679547061052t_unit > list_list_list_a > list_list_list_a). 1.30/1.48 thf(decl_183, type, normal5498541872298712508t_unit: partia2587409828943155709t_unit > list_list_list_b > list_list_list_b). 1.30/1.48 thf(decl_184, type, normal637505603836502915t_unit: partia2670972154091845814t_unit > list_list_a > list_list_a). 1.30/1.48 thf(decl_185, type, normal6775121398701284162t_unit: partia4026993951477142903t_unit > list_list_b > list_list_b). 1.30/1.48 thf(decl_186, type, normalize_a_c: partia8877618634411419171xt_a_c > list_a > list_a). 1.30/1.48 thf(decl_187, type, normalize_b_d: partia1897943568983147621xt_b_d > list_b > list_b). 1.30/1.48 thf(decl_188, type, poly_o8716471131768098070t_unit: partia2670972154091845814t_unit > list_a > list_list_a). 1.30/1.48 thf(decl_189, type, poly_o5630714889778103509t_unit: partia4026993951477142903t_unit > list_b > list_list_b). 1.30/1.48 thf(decl_190, type, poly_of_const_a_c: partia8877618634411419171xt_a_c > a > list_a). 1.30/1.48 thf(decl_191, type, poly_of_const_b_d: partia1897943568983147621xt_b_d > b > list_b). 1.30/1.48 thf(decl_192, type, univ_p2250591967980070728t_unit: partia2956882679547061052t_unit > set_list_list_a > partia5333488208502193986t_unit). 1.30/1.48 thf(decl_193, type, univ_p6451808943148412807t_unit: partia2587409828943155709t_unit > set_list_list_b > partia7279976654324334595t_unit). 1.30/1.48 thf(decl_194, type, univ_p7953238456130426574t_unit: partia2670972154091845814t_unit > set_list_a > partia2956882679547061052t_unit). 1.30/1.48 thf(decl_195, type, univ_p4867482214140432013t_unit: partia4026993951477142903t_unit > set_list_b > partia2587409828943155709t_unit). 1.30/1.48 thf(decl_196, type, univ_poly_a_c: partia8877618634411419171xt_a_c > set_a > partia2670972154091845814t_unit). 1.30/1.48 thf(decl_197, type, univ_poly_b_d: partia1897943568983147621xt_b_d > set_b > partia4026993951477142903t_unit). 1.30/1.48 thf(decl_198, type, var_li8453953174693405341t_unit: partia2670972154091845814t_unit > list_list_a). 1.30/1.48 thf(decl_199, type, var_li5368196932703410780t_unit: partia4026993951477142903t_unit > list_list_b). 1.30/1.48 thf(decl_200, type, var_a_c: partia8877618634411419171xt_a_c > list_a). 1.30/1.48 thf(decl_201, type, var_b_d: partia1897943568983147621xt_b_d > list_b). 1.30/1.48 thf(decl_202, type, ring_iso_a_c_b_d: partia8877618634411419171xt_a_c > partia1897943568983147621xt_b_d > set_a_b). 1.30/1.48 thf(decl_203, type, ring_h7848885096329822663it_a_c: partia2670972154091845814t_unit > partia8877618634411419171xt_a_c > (list_a > a) > $o). 1.30/1.48 thf(decl_204, type, ring_h5061429514357146631it_b_d: partia2670972154091845814t_unit > partia1897943568983147621xt_b_d > (list_a > b) > $o). 1.30/1.48 thf(decl_205, type, ring_h7263552499320114694it_a_c: partia4026993951477142903t_unit > partia8877618634411419171xt_a_c > (list_b > a) > $o). 1.30/1.48 thf(decl_206, type, ring_h4476096917347438662it_b_d: partia4026993951477142903t_unit > partia1897943568983147621xt_b_d > (list_b > b) > $o). 1.30/1.48 thf(decl_207, type, ring_h397207343590695872_c_a_c: partia8877618634411419171xt_a_c > partia8877618634411419171xt_a_c > (a > a) > $o). 1.30/1.48 thf(decl_208, type, ring_h6833123798472795648_c_b_d: partia8877618634411419171xt_a_c > partia1897943568983147621xt_b_d > (a > b) > $o). 1.30/1.48 thf(decl_209, type, ring_h7090283896669364359t_unit: partia1897943568983147621xt_b_d > partia2670972154091845814t_unit > (b > list_a) > $o). 1.30/1.48 thf(decl_210, type, ring_h4004527654679369798t_unit: partia1897943568983147621xt_b_d > partia4026993951477142903t_unit > (b > list_b) > $o). 1.30/1.48 thf(decl_211, type, ring_h7481387996073625088_d_a_c: partia1897943568983147621xt_b_d > partia8877618634411419171xt_a_c > (b > a) > $o). 1.30/1.48 thf(decl_212, type, ring_h4693932414100949056_d_b_d: partia1897943568983147621xt_b_d > partia1897943568983147621xt_b_d > (b > b) > $o). 1.30/1.48 thf(decl_213, type, a_inv_7033018035630854991t_unit: partia2956882679547061052t_unit > list_list_a > list_list_a). 1.30/1.48 thf(decl_214, type, a_inv_2010862973944421262t_unit: partia2587409828943155709t_unit > list_list_b > list_list_b). 1.30/1.48 thf(decl_215, type, a_inv_8944721093294617173t_unit: partia2670972154091845814t_unit > list_a > list_a). 1.30/1.48 thf(decl_216, type, a_inv_5858964851304622612t_unit: partia4026993951477142903t_unit > list_b > list_b). 1.30/1.48 thf(decl_217, type, a_inv_a_c: partia8877618634411419171xt_a_c > a > a). 1.30/1.48 thf(decl_218, type, a_inv_b_d: partia1897943568983147621xt_b_d > b > b). 1.30/1.48 thf(decl_219, type, a_minu2241224857956505934t_unit: partia2956882679547061052t_unit > list_list_a > list_list_a > list_list_a). 1.30/1.48 thf(decl_220, type, a_minu6442441833124848013t_unit: partia2587409828943155709t_unit > list_list_b > list_list_b > list_list_b). 1.30/1.48 thf(decl_221, type, a_minu3984020753470702548t_unit: partia2670972154091845814t_unit > list_a > list_a > list_a). 1.30/1.48 thf(decl_222, type, a_minu898264511480707987t_unit: partia4026993951477142903t_unit > list_b > list_b > list_b). 1.30/1.48 thf(decl_223, type, a_minus_a_c: partia8877618634411419171xt_a_c > a > a > a). 1.30/1.48 thf(decl_224, type, a_minus_b_d: partia1897943568983147621xt_b_d > b > b > b). 1.30/1.48 thf(decl_225, type, add_po2638046716968164713it_int: partia2670972154091845814t_unit > int > list_a > list_a). 1.30/1.48 thf(decl_226, type, add_po1301996097015470376it_int: partia4026993951477142903t_unit > int > list_b > list_b). 1.30/1.48 thf(decl_227, type, add_pow_a_c_int: partia8877618634411419171xt_a_c > int > a > a). 1.30/1.48 thf(decl_228, type, domain7810152921033798211t_unit: partia2956882679547061052t_unit > $o). 1.30/1.48 thf(decl_229, type, domain2787997859347364482t_unit: partia2587409828943155709t_unit > $o). 1.30/1.48 thf(decl_230, type, domain6553523120543210313t_unit: partia2670972154091845814t_unit > $o). 1.30/1.48 thf(decl_231, type, domain3467766878553215752t_unit: partia4026993951477142903t_unit > $o). 1.30/1.48 thf(decl_232, type, domain_a_c: partia8877618634411419171xt_a_c > $o). 1.30/1.48 thf(decl_233, type, domain_b_d: partia1897943568983147621xt_b_d > $o). 1.30/1.48 thf(decl_234, type, field_1861437471013600865t_unit: partia2956882679547061052t_unit > $o). 1.30/1.48 thf(decl_235, type, field_6062654446181942944t_unit: partia2587409828943155709t_unit > $o). 1.30/1.48 thf(decl_236, type, field_6388047844668329575t_unit: partia2670972154091845814t_unit > $o). 1.30/1.48 thf(decl_237, type, field_3302291602678335014t_unit: partia4026993951477142903t_unit > $o). 1.30/1.48 thf(decl_238, type, field_a_c: partia8877618634411419171xt_a_c > $o). 1.30/1.48 thf(decl_239, type, field_b_d: partia1897943568983147621xt_b_d > $o). 1.30/1.48 thf(decl_240, type, add_li174743652000525320t_unit: partia2956882679547061052t_unit > list_list_a > list_list_a > list_list_a). 1.30/1.48 thf(decl_241, type, add_li4375960627168867399t_unit: partia2587409828943155709t_unit > list_list_b > list_list_b > list_list_b). 1.30/1.48 thf(decl_242, type, add_li7652885771158616974t_unit: partia2670972154091845814t_unit > list_a > list_a > list_a). 1.30/1.48 thf(decl_243, type, add_li4567129529168622413t_unit: partia4026993951477142903t_unit > list_b > list_b > list_b). 1.30/1.48 thf(decl_244, type, add_a_c: partia8877618634411419171xt_a_c > a > a > a). 1.30/1.48 thf(decl_245, type, add_b_d: partia1897943568983147621xt_b_d > b > b > b). 1.30/1.48 thf(decl_246, type, zero_l317200538825487809t_unit: partia5333488208502193986t_unit > list_list_list_a). 1.30/1.48 thf(decl_247, type, zero_l347298301471573063t_unit: partia2956882679547061052t_unit > list_list_a). 1.30/1.48 thf(decl_248, type, zero_l4548515276639915142t_unit: partia2587409828943155709t_unit > list_list_b). 1.30/1.48 thf(decl_249, type, zero_l4142658623432671053t_unit: partia2670972154091845814t_unit > list_a). 1.30/1.48 thf(decl_250, type, zero_l1056902381442676492t_unit: partia4026993951477142903t_unit > list_b). 1.30/1.48 thf(decl_251, type, zero_a_c: partia8877618634411419171xt_a_c > a). 1.30/1.48 thf(decl_252, type, zero_b_d: partia1897943568983147621xt_b_d > b). 1.30/1.48 thf(decl_253, type, ring_hom_a_c_b_d: partia8877618634411419171xt_a_c > partia1897943568983147621xt_b_d > set_a_b). 1.30/1.48 thf(decl_254, type, semiri2871908745932252451t_unit: partia2670972154091845814t_unit > $o). 1.30/1.48 thf(decl_255, type, semiri9009524540797033698t_unit: partia4026993951477142903t_unit > $o). 1.30/1.48 thf(decl_256, type, semiring_a_c: partia8877618634411419171xt_a_c > $o). 1.30/1.48 thf(decl_257, type, semiring_b_d: partia1897943568983147621xt_b_d > $o). 1.30/1.48 thf(decl_258, type, ring_r360171070648044744t_unit: partia2956882679547061052t_unit > list_list_a > $o). 1.30/1.48 thf(decl_259, type, ring_r4561388045816386823t_unit: partia2587409828943155709t_unit > list_list_b > $o). 1.30/1.48 thf(decl_260, type, ring_r932985474545269838t_unit: partia2670972154091845814t_unit > list_a > $o). 1.30/1.48 thf(decl_261, type, ring_r7070601269410051085t_unit: partia4026993951477142903t_unit > list_b > $o). 1.30/1.48 thf(decl_262, type, ring_r999134135267193927le_a_c: partia8877618634411419171xt_a_c > a > $o). 1.30/1.48 thf(decl_263, type, ring_r7435050590149293703le_b_d: partia1897943568983147621xt_b_d > b > $o). 1.30/1.48 thf(decl_264, type, ring_r5437400583859147359t_unit: partia2956882679547061052t_unit > list_list_a > $o). 1.30/1.48 thf(decl_265, type, ring_r6430282645014804837t_unit: partia2670972154091845814t_unit > list_a > $o). 1.30/1.48 thf(decl_266, type, ring_r3344526403024810276t_unit: partia4026993951477142903t_unit > list_b > $o). 1.30/1.48 thf(decl_267, type, ring_ring_prime_a_c: partia8877618634411419171xt_a_c > a > $o). 1.30/1.48 thf(decl_268, type, ring_ring_prime_b_d: partia1897943568983147621xt_b_d > b > $o). 1.30/1.48 thf(decl_269, type, collect_a_b: ((a > b) > $o) > set_a_b). 1.30/1.48 thf(decl_270, type, collect_list_list_a: (list_list_a > $o) > set_list_list_a). 1.30/1.48 thf(decl_271, type, collect_list_a: (list_a > $o) > set_list_a). 1.30/1.48 thf(decl_272, type, collect_list_b: (list_b > $o) > set_list_b). 1.30/1.48 thf(decl_273, type, collect_a: (a > $o) > set_a). 1.30/1.48 thf(decl_274, type, collect_b: (b > $o) > set_b). 1.30/1.48 thf(decl_275, type, image_list_a_list_a: (list_a > list_a) > set_list_a > set_list_a). 1.30/1.48 thf(decl_276, type, image_list_a_a: (list_a > a) > set_list_a > set_a). 1.30/1.48 thf(decl_277, type, image_list_a_b: (list_a > b) > set_list_a > set_b). 1.30/1.48 thf(decl_278, type, image_list_b_a: (list_b > a) > set_list_b > set_a). 1.30/1.48 thf(decl_279, type, image_list_b_b: (list_b > b) > set_list_b > set_b). 1.30/1.48 thf(decl_280, type, image_5182652808413494591et_a_b: (set_a_b > set_a_b) > set_set_a_b > set_set_a_b). 1.30/1.48 thf(decl_281, type, image_452714708507473285list_a: (set_list_list_a > set_list_list_a) > set_set_list_list_a > set_set_list_list_a). 1.30/1.48 thf(decl_282, type, image_5749939591322298757list_a: (set_list_a > set_list_a) > set_set_list_a > set_set_list_a). 1.30/1.48 thf(decl_283, type, image_4484923011415950405list_b: (set_list_b > set_list_b) > set_set_list_b > set_set_list_b). 1.30/1.48 thf(decl_284, type, image_set_a_set_a: (set_a > set_a) > set_set_a > set_set_a). 1.30/1.48 thf(decl_285, type, image_set_b_set_b: (set_b > set_b) > set_set_b > set_set_b). 1.30/1.48 thf(decl_286, type, image_a_list_a: (a > list_a) > set_a > set_list_a). 1.30/1.48 thf(decl_287, type, image_a_list_b: (a > list_b) > set_a > set_list_b). 1.30/1.48 thf(decl_288, type, image_a_a: (a > a) > set_a > set_a). 1.30/1.48 thf(decl_289, type, image_a_b: (a > b) > set_a > set_b). 1.30/1.48 thf(decl_290, type, image_b_list_a: (b > list_a) > set_b > set_list_a). 1.30/1.48 thf(decl_291, type, image_b_list_b: (b > list_b) > set_b > set_list_b). 1.30/1.48 thf(decl_292, type, image_b_a: (b > a) > set_b > set_a). 1.30/1.48 thf(decl_293, type, image_b_b: (b > b) > set_b > set_b). 1.30/1.48 thf(decl_294, type, insert_a_b: (a > b) > set_a_b > set_a_b). 1.30/1.48 thf(decl_295, type, insert_list_list_a: list_list_a > set_list_list_a > set_list_list_a). 1.30/1.48 thf(decl_296, type, insert_list_list_b: list_list_b > set_list_list_b > set_list_list_b). 1.30/1.48 thf(decl_297, type, insert_list_a: list_a > set_list_a > set_list_a). 1.30/1.48 thf(decl_298, type, insert_list_b: list_b > set_list_b > set_list_b). 1.30/1.48 thf(decl_299, type, insert_a: a > set_a > set_a). 1.30/1.48 thf(decl_300, type, insert_b: b > set_b > set_b). 1.30/1.48 thf(decl_301, type, subcri4677462317791934762t_unit: set_list_b > partia4026993951477142903t_unit > $o). 1.30/1.48 thf(decl_302, type, subcring_a_c: set_a > partia8877618634411419171xt_a_c > $o). 1.30/1.48 thf(decl_303, type, subdom4735476224308063485t_unit: set_list_b > partia4026993951477142903t_unit > $o). 1.30/1.48 thf(decl_304, type, subdomain_a_c: set_a > partia8877618634411419171xt_a_c > $o). 1.30/1.48 thf(decl_305, type, subrin6918843898125473962t_unit: set_list_a > partia2670972154091845814t_unit > $o). 1.30/1.48 thf(decl_306, type, subrin3833087656135479401t_unit: set_list_b > partia4026993951477142903t_unit > $o). 1.30/1.48 thf(decl_307, type, subring_a_c: set_a > partia8877618634411419171xt_a_c > $o). 1.30/1.48 thf(decl_308, type, subring_b_d: set_b > partia1897943568983147621xt_b_d > $o). 1.30/1.48 thf(decl_309, type, member_a_b: (a > b) > set_a_b > $o). 1.30/1.48 thf(decl_310, type, member5342144027231129785list_a: list_list_list_a > set_list_list_list_a > $o). 1.30/1.48 thf(decl_311, type, member2820959508942094138list_b: list_list_list_b > set_list_list_list_b > $o). 1.30/1.48 thf(decl_312, type, member_list_list_a: list_list_a > set_list_list_a > $o). 1.30/1.48 thf(decl_313, type, member_list_list_b: list_list_b > set_list_list_b > $o). 1.30/1.48 thf(decl_314, type, member_list_a: list_a > set_list_a > $o). 1.30/1.48 thf(decl_315, type, member_list_b: list_b > set_list_b > $o). 1.30/1.48 thf(decl_316, type, member_set_a_b: set_a_b > set_set_a_b > $o). 1.30/1.48 thf(decl_317, type, member334759470184282131list_a: set_list_list_a > set_set_list_list_a > $o). 1.30/1.48 thf(decl_318, type, member_set_list_a: set_list_a > set_set_list_a > $o). 1.30/1.48 thf(decl_319, type, member_set_list_b: set_list_b > set_set_list_b > $o). 1.30/1.48 thf(decl_320, type, member_set_a: set_a > set_set_a > $o). 1.30/1.48 thf(decl_321, type, member_set_b: set_b > set_set_b > $o). 1.30/1.48 thf(decl_322, type, member_a: a > set_a > $o). 1.30/1.48 thf(decl_323, type, member_b: b > set_b > $o). 1.30/1.48 thf(decl_324, type, r: partia8877618634411419171xt_a_c). 1.30/1.48 thf(decl_325, type, s: partia1897943568983147621xt_b_d). 1.30/1.48 thf(decl_326, type, h: a > b). 1.30/1.48 thf(decl_327, type, x: list_b). 1.30/1.48 thf(decl_328, type, esk1_3: (a > b) > partia1897943568983147621xt_b_d > (a > b) > a). 1.30/1.48 thf(decl_329, type, esk2_3: (a > b) > partia1897943568983147621xt_b_d > (a > b) > a). 1.30/1.48 thf(decl_330, type, esk3_3: set_list_a > (list_a > list_a) > (list_a > list_a) > list_a). 1.30/1.48 thf(decl_331, type, esk4_3: set_b > (b > b) > (b > b) > b). 1.30/1.48 thf(decl_332, type, esk5_3: set_b > (a > b) > (b > a) > b). 1.30/1.48 thf(decl_333, type, esk6_3: set_a > (b > a) > (a > b) > a). 1.30/1.48 thf(decl_334, type, esk7_3: set_a > (a > a) > (a > a) > a). 1.30/1.48 thf(decl_335, type, esk8_3: set_list_a > (list_a > list_a) > (list_a > list_a) > list_a). 1.30/1.48 thf(decl_336, type, esk9_3: set_b > (b > b) > (b > b) > b). 1.30/1.48 thf(decl_337, type, esk10_3: set_b > (b > a) > (b > a) > b). 1.30/1.48 thf(decl_338, type, esk11_3: set_a > (a > b) > (a > b) > a). 1.30/1.48 thf(decl_339, type, esk12_3: set_a > (a > a) > (a > a) > a). 1.30/1.48 thf(decl_340, type, esk13_2: (list_a > list_a) > set_list_a > list_a). 1.30/1.48 thf(decl_341, type, esk14_2: (list_a > list_a) > set_list_a > list_a). 1.30/1.48 thf(decl_342, type, esk15_2: (b > b) > set_b > b). 1.30/1.48 thf(decl_343, type, esk16_2: (b > b) > set_b > b). 1.30/1.48 thf(decl_344, type, esk17_2: (b > a) > set_b > b). 1.30/1.48 thf(decl_345, type, esk18_2: (b > a) > set_b > b). 1.30/1.48 thf(decl_346, type, esk19_2: (a > b) > set_a > a). 1.30/1.48 thf(decl_347, type, esk20_2: (a > b) > set_a > a). 1.30/1.48 thf(decl_348, type, esk21_2: (a > a) > set_a > a). 1.30/1.48 thf(decl_349, type, esk22_2: (a > a) > set_a > a). 1.30/1.48 thf(decl_350, type, esk23_2: set_list_a > (list_a > list_a) > list_a). 1.30/1.48 thf(decl_351, type, esk24_2: set_list_a > (list_a > list_a) > list_a). 1.30/1.48 thf(decl_352, type, esk25_2: set_b > (b > b) > b). 1.30/1.48 thf(decl_353, type, esk26_2: set_b > (b > b) > b). 1.30/1.48 thf(decl_354, type, esk27_2: set_b > (b > a) > b). 1.30/1.48 thf(decl_355, type, esk28_2: set_b > (b > a) > b). 1.30/1.48 thf(decl_356, type, esk29_2: set_a > (a > b) > a). 1.30/1.48 thf(decl_357, type, esk30_2: set_a > (a > b) > a). 1.30/1.48 thf(decl_358, type, esk31_2: set_a > (a > a) > a). 1.30/1.48 thf(decl_359, type, esk32_2: set_a > (a > a) > a). 1.30/1.48 thf(decl_360, type, esk33_3: set_list_a > (list_a > list_a) > (list_a > list_a) > list_a). 1.30/1.48 thf(decl_361, type, esk34_3: set_list_a > (list_a > list_a) > (list_a > list_a) > list_a). 1.30/1.48 thf(decl_362, type, esk35_3: set_b > (b > b) > (b > b) > b). 1.30/1.48 thf(decl_363, type, esk36_3: set_b > (b > b) > (b > b) > b). 1.30/1.48 thf(decl_364, type, esk37_3: set_b > (b > a) > (b > b) > b). 1.30/1.48 thf(decl_365, type, esk38_3: set_b > (b > a) > (b > b) > b). 1.30/1.48 thf(decl_366, type, esk39_3: set_a > (a > b) > (a > a) > a). 1.30/1.48 thf(decl_367, type, esk40_3: set_a > (a > b) > (a > a) > a). 1.30/1.48 thf(decl_368, type, esk41_3: set_a > (a > a) > (a > a) > a). 1.30/1.48 thf(decl_369, type, esk42_3: set_a > (a > a) > (a > a) > a). 1.30/1.48 thf(decl_370, type, esk43_1: a > a). 1.30/1.48 thf(decl_371, type, esk44_1: a > a). 1.30/1.48 thf(decl_372, type, esk45_1: a > a). 1.30/1.48 thf(decl_373, type, esk46_1: list_a > list_a). 1.30/1.48 thf(decl_374, type, esk47_1: list_a > list_a). 1.30/1.48 thf(decl_375, type, esk48_1: list_a > list_a). 1.30/1.48 thf(decl_376, type, esk49_1: b > b). 1.30/1.48 thf(decl_377, type, esk50_1: b > b). 1.30/1.48 thf(decl_378, type, esk51_1: b > b). 1.30/1.48 thf(decl_379, type, esk52_1: list_b > list_b). 1.30/1.48 thf(decl_380, type, esk53_1: list_b > list_b). 1.30/1.48 thf(decl_381, type, esk54_1: list_b > list_b). 1.30/1.48 thf(decl_382, type, esk55_1: set_list_b > list_b). 1.30/1.48 thf(decl_383, type, esk56_1: set_list_b > list_b). 1.30/1.48 thf(decl_384, type, esk57_1: set_list_b > list_b). 1.30/1.48 thf(decl_385, type, esk58_2: set_a_b > set_a_b > a > b). 1.30/1.48 thf(decl_386, type, esk59_2: set_list_b > set_list_b > list_b). 1.30/1.48 thf(decl_387, type, esk60_2: set_a > set_a > a). 1.30/1.48 thf(decl_388, type, esk61_2: set_b > set_b > b). 1.30/1.48 thf(decl_389, type, esk62_2: set_list_a > set_list_a > list_a). 1.30/1.48 thf(decl_390, type, esk63_1: set_a_b > a > b). 1.30/1.48 thf(decl_391, type, esk64_1: set_list_list_a > list_list_a). 1.30/1.48 thf(decl_392, type, esk65_1: set_list_b > list_b). 1.30/1.48 thf(decl_393, type, esk66_1: set_list_a > list_a). 1.30/1.48 thf(decl_394, type, esk67_1: set_b > b). 1.30/1.48 thf(decl_395, type, esk68_1: set_a > a). 1.30/1.48 thf(decl_396, type, esk69_1: (list_list_a > $o) > list_list_a). 1.30/1.48 thf(decl_397, type, esk70_1: (list_b > $o) > list_b). 1.30/1.48 thf(decl_398, type, esk71_1: (list_a > $o) > list_a). 1.30/1.48 thf(decl_399, type, esk72_1: (b > $o) > b). 1.30/1.48 thf(decl_400, type, esk73_1: (a > $o) > a). 1.30/1.48 thf(decl_401, type, esk74_1: (list_list_a > $o) > list_list_a). 1.30/1.48 thf(decl_402, type, esk75_1: (list_b > $o) > list_b). 1.30/1.48 thf(decl_403, type, esk76_1: (list_a > $o) > list_a). 1.30/1.48 thf(decl_404, type, esk77_1: (b > $o) > b). 1.30/1.48 thf(decl_405, type, esk78_1: (a > $o) > a). 1.30/1.48 thf(decl_406, type, esk79_2: set_set_a_b > (a > b) > set_a_b). 1.30/1.48 thf(decl_407, type, esk80_2: set_set_list_list_a > list_list_a > set_list_list_a). 1.30/1.48 thf(decl_408, type, esk81_2: set_set_list_b > list_b > set_list_b). 1.30/1.48 thf(decl_409, type, esk82_2: set_set_list_a > list_a > set_list_a). 1.30/1.48 thf(decl_410, type, esk83_2: set_set_b > b > set_b). 1.30/1.48 thf(decl_411, type, esk84_2: set_set_a > a > set_a). 1.30/1.48 thf(decl_412, type, esk85_3: set_a > (a > a) > set_a > set_a). 1.30/1.48 thf(decl_413, type, esk86_3: set_a > (b > a) > set_b > set_b). 1.30/1.48 thf(decl_414, type, esk87_3: set_b > (a > b) > set_a > set_a). 1.30/1.48 thf(decl_415, type, esk88_3: set_b > (b > b) > set_b > set_b). 1.30/1.48 thf(decl_416, type, esk89_3: set_list_b > (a > list_b) > set_a > set_a). 1.30/1.48 thf(decl_417, type, esk90_3: set_list_b > (b > list_b) > set_b > set_b). 1.30/1.48 thf(decl_418, type, esk91_3: set_a > (list_b > a) > set_list_b > set_list_b). 1.30/1.48 thf(decl_419, type, esk92_3: set_a > (list_a > a) > set_list_a > set_list_a). 1.30/1.48 thf(decl_420, type, esk93_3: set_b > (list_b > b) > set_list_b > set_list_b). 1.30/1.48 thf(decl_421, type, esk94_3: set_b > (list_a > b) > set_list_a > set_list_a). 1.30/1.48 thf(decl_422, type, esk95_3: (a > b) > set_a > set_b > a). 1.30/1.48 thf(decl_423, type, esk96_3: set_a > (a > a) > set_a > set_a). 1.30/1.48 thf(decl_424, type, esk97_3: set_a > (b > a) > set_b > set_b). 1.30/1.48 thf(decl_425, type, esk98_3: set_b > (a > b) > set_a > set_a). 1.30/1.48 thf(decl_426, type, esk99_3: set_b > (b > b) > set_b > set_b). 1.30/1.48 thf(decl_427, type, esk100_3: set_list_b > (a > list_b) > set_a > set_a). 1.30/1.48 thf(decl_428, type, esk101_3: set_list_b > (b > list_b) > set_b > set_b). 1.30/1.48 thf(decl_429, type, esk102_3: set_a > (list_b > a) > set_list_b > set_list_b). 1.30/1.48 thf(decl_430, type, esk103_3: set_a > (list_a > a) > set_list_a > set_list_a). 1.30/1.48 thf(decl_431, type, esk104_3: set_b > (list_b > b) > set_list_b > set_list_b). 1.30/1.48 thf(decl_432, type, esk105_3: set_b > (list_a > b) > set_list_a > set_list_a). 1.30/1.48 thf(decl_433, type, esk106_3: set_b > (b > a) > set_a > b). 1.30/1.48 thf(decl_434, type, esk107_3: set_a > (a > a) > set_a > a). 1.30/1.48 thf(decl_435, type, esk108_3: set_b > (b > b) > set_b > b). 1.30/1.48 thf(decl_436, type, esk109_3: set_a > (a > b) > set_b > a). 1.30/1.48 thf(decl_437, type, esk110_3: set_b > (b > list_b) > set_list_b > b). 1.30/1.48 thf(decl_438, type, esk111_3: set_a > (a > list_b) > set_list_b > a). 1.30/1.48 thf(decl_439, type, esk112_3: set_list_b > (list_b > a) > set_a > list_b). 1.30/1.48 thf(decl_440, type, esk113_3: set_list_a > (list_a > a) > set_a > list_a). 1.30/1.48 thf(decl_441, type, esk114_3: set_list_b > (list_b > b) > set_b > list_b). 1.30/1.48 thf(decl_442, type, esk115_3: set_list_a > (list_a > b) > set_b > list_a). 1.30/1.48 thf(decl_443, type, esk116_1: set_a > a). 1.30/1.48 thf(decl_444, type, esk117_1: set_a > a). 1.30/1.48 thf(decl_445, type, esk118_1: set_a > a). 1.30/1.48 thf(decl_446, type, esk119_1: set_b > b). 1.30/1.48 thf(decl_447, type, esk120_1: set_b > b). 1.30/1.48 thf(decl_448, type, esk121_1: set_b > b). 1.30/1.48 thf(decl_449, type, esk122_1: set_list_a > list_a). 1.30/1.48 thf(decl_450, type, esk123_1: set_list_a > list_a). 1.30/1.48 thf(decl_451, type, esk124_1: set_list_a > list_a). 1.30/1.48 thf(decl_452, type, esk125_2: list_a > (a > list_a) > a). 1.30/1.48 thf(decl_453, type, esk126_2: list_a > (a > list_a) > a). 1.30/1.48 thf(decl_454, type, esk127_2: list_list_a > (list_a > list_list_a) > list_a). 1.30/1.48 thf(decl_455, type, esk128_2: list_list_a > (list_a > list_list_a) > list_a). 1.30/1.48 thf(decl_456, type, esk129_2: list_list_b > (list_b > list_list_b) > list_b). 1.30/1.48 thf(decl_457, type, esk130_2: list_list_b > (list_b > list_list_b) > list_b). 1.30/1.48 thf(decl_458, type, esk131_2: list_b > (b > list_b) > b). 1.30/1.48 thf(decl_459, type, esk132_2: list_b > (b > list_b) > b). 1.30/1.48 thf(decl_460, type, esk133_2: list_list_b > (list_b > list_list_b) > list_b). 1.30/1.48 thf(decl_461, type, esk134_2: list_list_a > (list_a > list_list_a) > list_a). 1.30/1.48 thf(decl_462, type, esk135_2: list_a > (a > list_a) > a). 1.30/1.48 thf(decl_463, type, esk136_2: list_b > (b > list_b) > b). 1.30/1.48 thf(decl_464, type, esk137_1: list_b > list_b). 1.30/1.48 thf(decl_465, type, esk138_1: list_b > list_b). 1.30/1.48 thf(decl_466, type, esk139_1: list_a > list_a). 1.30/1.48 thf(decl_467, type, esk140_1: list_a > list_a). 1.30/1.48 thf(decl_468, type, esk141_0: list_b). 1.30/1.48 thf(decl_469, type, esk142_0: list_a). 1.30/1.48 thf(decl_470, type, esk143_1: list_a > list_a). 1.30/1.48 thf(decl_471, type, esk144_1: list_b > list_b). 1.30/1.48 thf(decl_472, type, esk145_1: list_a > list_a). 1.30/1.48 thf(decl_473, type, esk146_1: list_a > list_a). 1.30/1.48 thf(decl_474, type, esk147_1: list_b > list_b). 1.30/1.48 thf(decl_475, type, esk148_1: list_b > list_b). 1.30/1.48 thf(decl_476, type, esk149_0: list_a). 1.30/1.48 thf(decl_477, type, esk150_0: list_b). 1.30/1.48 thf(decl_478, type, esk151_1: set_list_b > list_b). 1.30/1.48 thf(decl_479, type, esk152_1: set_list_b > list_b). 1.30/1.48 thf(decl_480, type, esk153_0: list_b). 1.30/1.48 thf(decl_481, type, esk154_0: list_b). 1.30/1.48 thf(decl_482, type, esk155_0: list_b). 1.30/1.48 thf(decl_483, type, esk156_0: list_b). 1.30/1.48 thf(decl_484, type, esk157_0: list_b). 1.30/1.48 thf(decl_485, type, esk158_0: list_b). 1.30/1.48 thf(decl_486, type, esk159_0: list_a). 1.30/1.48 thf(decl_487, type, esk160_0: list_a). 1.30/1.48 thf(decl_488, type, esk161_0: list_a). 1.30/1.48 thf(decl_489, type, esk162_0: list_a). 1.30/1.48 thf(decl_490, type, esk163_0: list_a). 1.30/1.48 thf(decl_491, type, esk164_0: list_a). 1.30/1.48 thf(decl_492, type, esk165_1: a > a). 1.30/1.48 thf(decl_493, type, esk166_1: b > b). 1.30/1.48 thf(decl_494, type, esk167_1: a > a). 1.30/1.48 thf(decl_495, type, esk168_1: a > a). 1.30/1.48 thf(decl_496, type, esk169_1: b > b). 1.30/1.48 thf(decl_497, type, esk170_1: b > b). 1.30/1.48 thf(decl_498, type, esk171_0: a). 1.30/1.48 thf(decl_499, type, esk172_0: b). 1.30/1.48 thf(decl_500, type, esk173_0: a). 1.30/1.48 thf(decl_501, type, esk174_0: b). 1.30/1.48 thf(decl_502, type, esk175_1: a > a). 1.30/1.48 thf(decl_503, type, esk176_1: a > a). 1.30/1.48 thf(decl_504, type, esk177_1: b > b). 1.30/1.48 thf(decl_505, type, esk178_1: b > b). 1.30/1.48 thf(decl_506, type, esk179_1: set_a > a). 1.30/1.48 thf(decl_507, type, esk180_1: set_a > a). 1.30/1.48 thf(decl_508, type, esk181_1: list_list_b > list_b). 1.30/1.48 thf(decl_509, type, esk182_1: list_list_b > list_list_b). 1.30/1.48 thf(decl_510, type, esk183_1: list_b > b). 1.30/1.48 thf(decl_511, type, esk184_1: list_b > list_b). 1.30/1.48 thf(decl_512, type, esk185_1: list_a > a). 1.30/1.48 thf(decl_513, type, esk186_1: list_a > list_a). 1.30/1.48 thf(decl_514, type, esk187_1: list_list_a > list_a). 1.30/1.48 thf(decl_515, type, esk188_1: list_list_a > list_list_a). 1.30/1.48 thf(decl_516, type, esk189_1: set_list_b > list_b). 1.30/1.48 thf(decl_517, type, esk190_1: set_list_b > list_b). 1.30/1.48 thf(decl_518, type, esk191_2: set_list_b > list_list_b > list_list_b). 1.30/1.48 thf(decl_519, type, esk192_2: set_list_b > list_list_b > list_list_b). 1.30/1.48 thf(decl_520, type, esk193_1: set_list_b > list_b). 1.30/1.48 thf(decl_521, type, esk194_1: set_list_b > list_b). 1.30/1.48 thf(decl_522, type, esk195_1: set_list_b > list_b). 1.30/1.48 thf(decl_523, type, esk196_1: set_list_b > list_b). 1.30/1.48 thf(decl_524, type, esk197_1: set_list_b > list_b). 1.30/1.48 thf(decl_525, type, esk198_1: set_a > a). 1.30/1.48 thf(decl_526, type, esk199_1: set_a > a). 1.30/1.48 thf(decl_527, type, esk200_1: set_b > b). 1.30/1.48 thf(decl_528, type, esk201_1: set_b > b). 1.30/1.48 thf(decl_529, type, esk202_1: set_b > b). 1.30/1.48 thf(decl_530, type, esk203_1: set_b > b). 1.30/1.48 thf(decl_531, type, esk204_1: set_b > b). 1.30/1.48 thf(decl_532, type, esk205_1: set_a > a). 1.30/1.48 thf(decl_533, type, esk206_1: set_a > a). 1.30/1.48 thf(decl_534, type, esk207_1: set_a > a). 1.30/1.48 thf(decl_535, type, esk208_1: set_a > a). 1.30/1.48 thf(decl_536, type, esk209_1: set_a > a). 1.30/1.48 thf(decl_537, type, esk210_2: set_list_a > list_list_a > list_list_a). 1.30/1.48 thf(decl_538, type, esk211_2: set_list_a > list_list_a > list_list_a). 1.30/1.48 thf(decl_539, type, esk212_2: set_b > list_b > list_b). 1.30/1.48 thf(decl_540, type, esk213_2: set_b > list_b > list_b). 1.30/1.48 thf(decl_541, type, esk214_2: set_a > list_a > list_a). 1.30/1.48 thf(decl_542, type, esk215_2: set_a > list_a > list_a). 1.30/1.48 thf(decl_543, type, esk216_1: set_list_a > list_a). 1.30/1.48 thf(decl_544, type, esk217_1: set_list_a > list_a). 1.30/1.48 thf(decl_545, type, esk218_1: set_list_a > list_a). 1.30/1.48 thf(decl_546, type, esk219_1: set_list_a > list_a). 1.30/1.48 thf(decl_547, type, esk220_1: set_list_a > list_a). 1.30/1.48 thf(decl_548, type, esk221_2: list_list_b > list_b > list_list_b). 1.30/1.48 thf(decl_549, type, esk222_2: list_a > a > list_a). 1.30/1.48 thf(decl_550, type, esk223_2: list_b > b > list_b). 1.30/1.48 thf(decl_551, type, epred1_1: set_list_b > list_b > $o). 1.30/1.48 thf(decl_552, type, epred2_1: set_list_a > list_a > $o). 1.30/1.48 thf(decl_553, type, epred3_1: set_a_b > (a > b) > $o). 1.30/1.48 thf(decl_554, type, epred4_1: set_b > b > $o). 1.30/1.48 thf(decl_555, type, epred5_1: set_a > a > $o). 1.30/1.48 thf(decl_556, type, esk224_0: list_a). 1.30/1.48 thf(decl_557, type, esk225_0: list_b). 1.30/1.48 thf(decl_558, type, esk226_0: a). 1.30/1.48 thf(decl_559, type, esk227_0: b). 1.30/1.48 thf(decl_560, type, esk228_1: (list_a > $o) > list_a). 1.30/1.48 thf(decl_561, type, esk229_1: (list_b > $o) > list_b). 1.30/1.48 thf(decl_562, type, esk230_1: (a > $o) > a). 1.30/1.48 thf(decl_563, type, esk231_1: (b > $o) > b). 1.30/1.48 thf(decl_564, type, esk232_1: set_list_a > list_a). 1.30/1.48 thf(decl_565, type, esk233_2: (list_a > $o) > (list_a > $o) > list_a). 1.30/1.48 thf(decl_566, type, esk234_2: (list_a > $o) > (list_a > $o) > list_a). 1.30/1.48 thf(decl_567, type, esk235_1: set_list_b > list_b). 1.30/1.48 thf(decl_568, type, esk236_1: set_a > a). 1.30/1.48 thf(decl_569, type, esk237_1: set_b > b). 1.30/1.48 thf(decl_570, type, esk238_2: (list_b > $o) > (list_b > $o) > list_b). 1.30/1.48 thf(decl_571, type, esk239_2: (list_b > $o) > (list_b > $o) > list_b). 1.30/1.48 thf(decl_572, type, esk240_2: set_a_b > a > b). 1.30/1.48 thf(decl_573, type, esk241_2: (a > $o) > (a > $o) > a). 1.30/1.48 thf(decl_574, type, esk242_2: (a > $o) > (a > $o) > a). 1.30/1.48 thf(decl_575, type, esk243_2: (b > $o) > (b > $o) > b). 1.30/1.48 thf(decl_576, type, esk244_2: (b > $o) > (b > $o) > b). 1.30/1.48 thf(decl_577, type, esk245_2: (list_a > $o) > (list_a > $o) > list_a). 1.30/1.48 thf(decl_578, type, esk246_2: (list_b > $o) > (list_b > $o) > list_b). 1.30/1.48 thf(decl_579, type, esk247_2: (a > $o) > (a > $o) > a). 1.30/1.48 thf(decl_580, type, esk248_2: (b > $o) > (b > $o) > b). 1.30/1.48 thf(decl_581, type, esk249_2: (list_a > list_a) > (list_a > list_a) > list_a). 1.30/1.48 thf(decl_582, type, esk250_2: (list_b > list_b) > (list_b > list_b) > list_b). 1.30/1.48 thf(decl_583, type, esk251_2: (a > a) > (a > a) > a). 1.30/1.48 thf(decl_584, type, esk252_2: (b > b) > (b > b) > b). 1.30/1.48 thf(decl_585, type, esk253_1: set_a_b > a). 1.30/1.48 thf(decl_586, type, esk254_1: set_a_b > a). 1.30/1.48 thf(decl_587, type, esk255_0: list_list_a). 1.30/1.48 thf(decl_588, type, esk256_2: (list_list_a > $o) > (list_list_a > $o) > list_list_a). 1.30/1.48 thf(decl_589, type, esk257_2: (list_list_a > $o) > (list_list_a > $o) > list_list_a). 1.30/1.48 thf(decl_590, type, esk258_1: (list_list_a > $o) > list_list_a). 1.30/1.48 thf(decl_591, type, esk259_0: a). 1.30/1.48 thf(decl_592, type, esk260_0: b). 1.30/1.48 thf(decl_593, type, esk261_2: (list_list_a > $o) > (list_list_a > $o) > list_list_a). 1.30/1.48 thf(decl_594, type, esk262_2: (list_list_a > list_list_a) > (list_list_a > list_list_a) > list_list_a). 1.30/1.48 thf(decl_595, type, esk263_0: a). 1.30/1.48 thf(decl_596, type, esk264_0: b). 1.30/1.48 thf(decl_597, type, esk265_2: set_a_b > a > b). 1.30/1.48 thf(decl_598, type, esk266_2: set_a_b > a > b). 1.30/1.48 thf(decl_599, type, esk267_0: b). 1.30/1.48 thf(decl_600, type, esk268_0: b). 1.30/1.48 thf(decl_601, type, esk269_1: set_b > b). 1.30/1.48 thf(decl_602, type, esk270_0: a). 1.30/1.48 thf(decl_603, type, esk271_0: a). 1.30/1.48 thf(decl_604, type, esk272_1: set_a > a). 1.30/1.48 thf(decl_605, type, esk273_1: set_list_b > list_b). 1.30/1.48 thf(decl_606, type, esk274_1: set_list_a > list_a). 1.30/1.48 thf(decl_607, type, esk275_2: set_a_b > a > b). 1.30/1.48 thf(decl_608, type, esk276_1: set_list_b > list_b). 1.30/1.48 thf(decl_609, type, esk277_1: set_list_a > list_a). 1.30/1.48 thf(decl_610, type, esk278_1: set_b > b). 1.30/1.48 thf(decl_611, type, esk279_1: set_a > a). 1.30/1.48 thf(fact_214_ds_Oadd_Oinv__closed, axiom, ![X394:b]:(((member_b @ X394 @ (partia8782771468121683032xt_b_d @ s))=>(member_b @ (a_inv_b_d @ s @ X394) @ (partia8782771468121683032xt_b_d @ s)))), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_214_ds_Oadd_Oinv__closed)). 1.30/1.48 thf(fact_200_dr_Oadd_Ol__inv__ex, axiom, ![X1:a]:(((member_a @ X1 @ (partia778085601923319190xt_a_c @ r))=>?[X378:a]:(((member_a @ X378 @ (partia778085601923319190xt_a_c @ r))&((add_a_c @ r @ X378 @ X1)=(zero_a_c @ r)))))), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_200_dr_Oadd_Ol__inv__ex)). 1.30/1.48 thf(fact_336_ds_Oadd_Or__inv__ex, axiom, ![X612:b]:(((member_b @ X612 @ (partia8782771468121683032xt_b_d @ s))=>?[X613:b]:(((member_b @ X613 @ (partia8782771468121683032xt_b_d @ s))&((add_b_d @ s @ X612 @ X613)=(zero_b_d @ s)))))), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_336_ds_Oadd_Or__inv__ex)). 1.30/1.48 thf(fact_0__092_060open_062lead__coeff_Ax_A_092_060in_062_Acarrier_AS_092_060close_062, axiom, (member_b @ (hd_b @ x) @ (partia8782771468121683032xt_b_d @ s)), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_0__092_060open_062lead__coeff_Ax_A_092_060in_062_Acarrier_AS_092_060close_062)). 1.30/1.48 thf(fact_129_the__inv__into__f__f, axiom, ![X2:a > b, X245:set_a, X1:a]:(((inj_on_a_b @ X2 @ X245)=>((member_a @ X1 @ X245)=>((the_inv_into_a_b @ X245 @ X2 @ (X2 @ X1))=(X1))))), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_129_the__inv__into__f__f)). 1.30/1.48 thf(fact_30_dr_Ozero__closed, axiom, (member_a @ (zero_a_c @ r) @ (partia778085601923319190xt_a_c @ r)), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_30_dr_Ozero__closed)). 1.30/1.48 thf(fact_228_dr_Oadd_Or__cancel__one_H, axiom, ![X1:a, X403:a]:(((member_a @ X1 @ (partia778085601923319190xt_a_c @ r))=>((member_a @ X403 @ (partia778085601923319190xt_a_c @ r))=>(((X1)=(add_a_c @ r @ X403 @ X1))<=>((X403)=(zero_a_c @ r)))))), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_228_dr_Oadd_Or__cancel__one_H)). 1.30/1.48 thf(fact_213_ds_Ominus__minus, axiom, ![X393:b]:(((member_b @ X393 @ (partia8782771468121683032xt_b_d @ s))=>((a_inv_b_d @ s @ (a_inv_b_d @ s @ X393))=(X393)))), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_213_ds_Ominus__minus)). 1.30/1.48 thf(fact_355_ds_Osum__zero__eq__neg, axiom, ![X656:b, X657:b]:(((member_b @ X656 @ (partia8782771468121683032xt_b_d @ s))=>((member_b @ X657 @ (partia8782771468121683032xt_b_d @ s))=>(((add_b_d @ s @ X656 @ X657)=(zero_b_d @ s))=>((X656)=(a_inv_b_d @ s @ X657)))))), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_355_ds_Osum__zero__eq__neg)). 1.30/1.48 thf(fact_333_ds_Oadd_Oinv__comm, axiom, ![X606:b, X607:b]:((((add_b_d @ s @ X606 @ X607)=(zero_b_d @ s))=>((member_b @ X606 @ (partia8782771468121683032xt_b_d @ s))=>((member_b @ X607 @ (partia8782771468121683032xt_b_d @ s))=>((add_b_d @ s @ X607 @ X606)=(zero_b_d @ s)))))), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_333_ds_Oadd_Oinv__comm)). 1.30/1.48 thf(fact_19_h__inj, axiom, (inj_on_a_b @ h @ (partia778085601923319190xt_a_c @ r)), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_19_h__inj)). 1.30/1.48 thf(fact_144_f__the__inv__into__f, axiom, ![X2:a > b, X275:set_a, X276:b]:(((inj_on_a_b @ X2 @ X275)=>((member_b @ X276 @ (image_a_b @ X2 @ X275))=>((X2 @ (the_inv_into_a_b @ X275 @ X2 @ X276))=(X276))))), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_144_f__the__inv__into__f)). 1.30/1.48 thf(conj_0, conjecture, ((the_inv_into_a_b @ (partia778085601923319190xt_a_c @ r) @ h @ (hd_b @ x))!=(the_inv_into_a_b @ (partia778085601923319190xt_a_c @ r) @ h @ (zero_b_d @ s))), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', conj_0)). 1.30/1.48 thf(fact_31_h_Ohom__zero, axiom, ((h @ (zero_a_c @ r))=(zero_b_d @ s)), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_31_h_Ohom__zero)). 1.30/1.48 thf(fact_2_h__img, axiom, ((image_a_b @ h @ (partia778085601923319190xt_a_c @ r))=(partia8782771468121683032xt_b_d @ s)), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_2_h__img)). 1.30/1.48 thf(fact_1__092_060open_062lead__coeff_Ax_A_092_060noteq_062_A_092_060zero_062_092_060_094bsub_062S_092_060_094esub_062_092_060close_062, axiom, ((hd_b @ x)!=(zero_b_d @ s)), file('/export/starexec/sandbox2/tmp/tmp.il06KuJ1s8/Vampire---4.8_28007', fact_1__092_060open_062lead__coeff_Ax_A_092_060noteq_062_A_092_060zero_062_092_060_094bsub_062S_092_060_094esub_062_092_060close_062)). 1.30/1.48 thf(c_0_16, plain, ![X5547:b]:((~(member_b @ X5547 @ (partia8782771468121683032xt_b_d @ s))|(member_b @ (a_inv_b_d @ s @ X5547) @ (partia8782771468121683032xt_b_d @ s)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_214_ds_Oadd_Oinv__closed])])). 1.30/1.48 thf(c_0_17, plain, ![X5513:a]:((((member_a @ (esk45_1 @ X5513) @ (partia778085601923319190xt_a_c @ r))|~(member_a @ X5513 @ (partia778085601923319190xt_a_c @ r)))&(((add_a_c @ r @ (esk45_1 @ X5513) @ X5513)=(zero_a_c @ r))|~(member_a @ X5513 @ (partia778085601923319190xt_a_c @ r))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_200_dr_Oadd_Ol__inv__ex])])])])). 1.30/1.48 thf(c_0_18, plain, ![X5838:b]:((((member_b @ (esk51_1 @ X5838) @ (partia8782771468121683032xt_b_d @ s))|~(member_b @ X5838 @ (partia8782771468121683032xt_b_d @ s)))&(((add_b_d @ s @ X5838 @ (esk51_1 @ X5838))=(zero_b_d @ s))|~(member_b @ X5838 @ (partia8782771468121683032xt_b_d @ s))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_336_ds_Oadd_Or__inv__ex])])])])). 1.30/1.48 thf(c_0_19, plain, ![X6:b]:(((member_b @ (a_inv_b_d @ s @ X6) @ (partia8782771468121683032xt_b_d @ s))|~((member_b @ X6 @ (partia8782771468121683032xt_b_d @ s))))), inference(split_conjunct,[status(thm)],[c_0_16])). 1.30/1.48 thf(c_0_20, plain, (member_b @ (hd_b @ x) @ (partia8782771468121683032xt_b_d @ s)), inference(split_conjunct,[status(thm)],[fact_0__092_060open_062lead__coeff_Ax_A_092_060in_062_Acarrier_AS_092_060close_062])). 1.30/1.48 thf(c_0_21, plain, ![X5333:a > b, X5334:set_a, X5335:a]:((~(inj_on_a_b @ X5333 @ X5334)|(~(member_a @ X5335 @ X5334)|((the_inv_into_a_b @ X5334 @ X5333 @ (X5333 @ X5335))=(X5335))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_129_the__inv__into__f__f])])). 1.30/1.48 thf(c_0_22, plain, ![X1:a]:(((member_a @ (esk45_1 @ X1) @ (partia778085601923319190xt_a_c @ r))|~((member_a @ X1 @ (partia778085601923319190xt_a_c @ r))))), inference(split_conjunct,[status(thm)],[c_0_17])). 1.30/1.48 thf(c_0_23, plain, (member_a @ (zero_a_c @ r) @ (partia778085601923319190xt_a_c @ r)), inference(split_conjunct,[status(thm)],[fact_30_dr_Ozero__closed])). 1.30/1.48 thf(c_0_24, plain, ![X5562:a, X5563:a]:(((((X5562)!=(add_a_c @ r @ X5563 @ X5562))|((X5563)=(zero_a_c @ r))|~(member_a @ X5563 @ (partia778085601923319190xt_a_c @ r))|~(member_a @ X5562 @ (partia778085601923319190xt_a_c @ r)))&(((X5563)!=(zero_a_c @ r))|((X5562)=(add_a_c @ r @ X5563 @ X5562))|~(member_a @ X5563 @ (partia778085601923319190xt_a_c @ r))|~(member_a @ X5562 @ (partia778085601923319190xt_a_c @ r))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_228_dr_Oadd_Or__cancel__one_H])])])). 1.30/1.48 thf(c_0_25, plain, ![X1:a]:((((add_a_c @ r @ (esk45_1 @ X1) @ X1)=(zero_a_c @ r))|~((member_a @ X1 @ (partia778085601923319190xt_a_c @ r))))), inference(split_conjunct,[status(thm)],[c_0_17])). 1.30/1.48 thf(c_0_26, plain, ![X5546:b]:((~(member_b @ X5546 @ (partia8782771468121683032xt_b_d @ s))|((a_inv_b_d @ s @ (a_inv_b_d @ s @ X5546))=(X5546)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_213_ds_Ominus__minus])])). 1.30/1.48 thf(c_0_27, plain, ![X6:b]:(((member_b @ (esk51_1 @ X6) @ (partia8782771468121683032xt_b_d @ s))|~((member_b @ X6 @ (partia8782771468121683032xt_b_d @ s))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.30/1.48 thf(c_0_28, plain, ![X5884:b, X5885:b]:((~(member_b @ X5884 @ (partia8782771468121683032xt_b_d @ s))|(~(member_b @ X5885 @ (partia8782771468121683032xt_b_d @ s))|(((add_b_d @ s @ X5884 @ X5885)!=(zero_b_d @ s))|((X5884)=(a_inv_b_d @ s @ X5885)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_355_ds_Osum__zero__eq__neg])])). 1.30/1.48 thf(c_0_29, plain, ![X6:b]:((((add_b_d @ s @ X6 @ (esk51_1 @ X6))=(zero_b_d @ s))|~((member_b @ X6 @ (partia8782771468121683032xt_b_d @ s))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.30/1.48 thf(c_0_30, plain, ![X5832:b, X5833:b]:((((add_b_d @ s @ X5832 @ X5833)!=(zero_b_d @ s))|(~(member_b @ X5832 @ (partia8782771468121683032xt_b_d @ s))|(~(member_b @ X5833 @ (partia8782771468121683032xt_b_d @ s))|((add_b_d @ s @ X5833 @ X5832)=(zero_b_d @ s)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_333_ds_Oadd_Oinv__comm])])). 1.30/1.48 thf(c_0_31, plain, (member_b @ (a_inv_b_d @ s @ (hd_b @ x)) @ (partia8782771468121683032xt_b_d @ s)), inference(spm,[status(thm)],[c_0_19, c_0_20])). 1.30/1.48 thf(c_0_32, plain, ![X1:a, X2:a > b, X19:set_a]:((((the_inv_into_a_b @ X19 @ X2 @ (X2 @ X1))=(X1))|~((inj_on_a_b @ X2 @ X19))|~((member_a @ X1 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_21])). 1.30/1.48 thf(c_0_33, plain, (inj_on_a_b @ h @ (partia778085601923319190xt_a_c @ r)), inference(split_conjunct,[status(thm)],[fact_19_h__inj])). 1.30/1.48 thf(c_0_34, plain, (member_a @ (esk45_1 @ (zero_a_c @ r)) @ (partia778085601923319190xt_a_c @ r)), inference(spm,[status(thm)],[c_0_22, c_0_23])). 1.30/1.48 thf(c_0_35, plain, ![X5:a, X1:a]:((((X5)=(zero_a_c @ r))|((X1)!=(add_a_c @ r @ X5 @ X1))|~((member_a @ X5 @ (partia778085601923319190xt_a_c @ r)))|~((member_a @ X1 @ (partia778085601923319190xt_a_c @ r))))), inference(split_conjunct,[status(thm)],[c_0_24])). 1.30/1.48 thf(c_0_36, plain, ((add_a_c @ r @ (esk45_1 @ (zero_a_c @ r)) @ (zero_a_c @ r))=(zero_a_c @ r)), inference(spm,[status(thm)],[c_0_25, c_0_23])). 1.30/1.48 thf(c_0_37, plain, ![X5373:a > b, X5374:set_a, X5375:b]:((~(inj_on_a_b @ X5373 @ X5374)|(~(member_b @ X5375 @ (image_a_b @ X5373 @ X5374))|((X5373 @ (the_inv_into_a_b @ X5374 @ X5373 @ X5375))=(X5375))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_144_f__the__inv__into__f])])). 1.30/1.48 thf(c_0_38, plain, ![X6:b]:((((a_inv_b_d @ s @ (a_inv_b_d @ s @ X6))=(X6))|~((member_b @ X6 @ (partia8782771468121683032xt_b_d @ s))))), inference(split_conjunct,[status(thm)],[c_0_26])). 1.30/1.48 thf(c_0_39, plain, (member_b @ (esk51_1 @ (hd_b @ x)) @ (partia8782771468121683032xt_b_d @ s)), inference(spm,[status(thm)],[c_0_27, c_0_20])). 1.30/1.48 thf(c_0_40, plain, ![X6:b, X13:b]:((((X6)=(a_inv_b_d @ s @ X13))|~((member_b @ X6 @ (partia8782771468121683032xt_b_d @ s)))|~((member_b @ X13 @ (partia8782771468121683032xt_b_d @ s)))|((add_b_d @ s @ X6 @ X13)!=(zero_b_d @ s)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.30/1.48 thf(c_0_41, plain, ((add_b_d @ s @ (hd_b @ x) @ (esk51_1 @ (hd_b @ x)))=(zero_b_d @ s)), inference(spm,[status(thm)],[c_0_29, c_0_20])). 1.30/1.48 thf(c_0_42, plain, ![X6:b, X13:b]:((((add_b_d @ s @ X13 @ X6)=(zero_b_d @ s))|((add_b_d @ s @ X6 @ X13)!=(zero_b_d @ s))|~((member_b @ X6 @ (partia8782771468121683032xt_b_d @ s)))|~((member_b @ X13 @ (partia8782771468121683032xt_b_d @ s))))), inference(split_conjunct,[status(thm)],[c_0_30])). 1.30/1.48 thf(c_0_43, plain, ((add_b_d @ s @ (a_inv_b_d @ s @ (hd_b @ x)) @ (esk51_1 @ (a_inv_b_d @ s @ (hd_b @ x))))=(zero_b_d @ s)), inference(spm,[status(thm)],[c_0_29, c_0_31])). 1.30/1.48 thf(c_0_44, plain, (member_b @ (esk51_1 @ (a_inv_b_d @ s @ (hd_b @ x))) @ (partia8782771468121683032xt_b_d @ s)), inference(spm,[status(thm)],[c_0_27, c_0_31])). 1.30/1.48 thf(c_0_45, negated_conjecture, ((the_inv_into_a_b @ (partia778085601923319190xt_a_c @ r) @ h @ (hd_b @ x))=(the_inv_into_a_b @ (partia778085601923319190xt_a_c @ r) @ h @ (zero_b_d @ s))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 1.30/1.48 thf(c_0_46, plain, ![X1:a]:((((the_inv_into_a_b @ (partia778085601923319190xt_a_c @ r) @ h @ (h @ X1))=(X1))|~((member_a @ X1 @ (partia778085601923319190xt_a_c @ r))))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 1.30/1.48 thf(c_0_47, plain, (member_a @ (esk45_1 @ (esk45_1 @ (zero_a_c @ r))) @ (partia778085601923319190xt_a_c @ r)), inference(spm,[status(thm)],[c_0_22, c_0_34])). 1.30/1.48 thf(c_0_48, plain, ((esk45_1 @ (zero_a_c @ r))=(zero_a_c @ r)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_34]), c_0_23])])). 1.30/1.48 thf(c_0_49, plain, ((h @ (zero_a_c @ r))=(zero_b_d @ s)), inference(split_conjunct,[status(thm)],[fact_31_h_Ohom__zero])). 1.30/1.48 thf(c_0_50, plain, ![X2:a > b, X6:b, X19:set_a]:((((X2 @ (the_inv_into_a_b @ X19 @ X2 @ X6))=(X6))|~((inj_on_a_b @ X2 @ X19))|~((member_b @ X6 @ (image_a_b @ X2 @ X19))))), inference(split_conjunct,[status(thm)],[c_0_37])). 1.30/1.48 thf(c_0_51, plain, ((image_a_b @ h @ (partia778085601923319190xt_a_c @ r))=(partia8782771468121683032xt_b_d @ s)), inference(split_conjunct,[status(thm)],[fact_2_h__img])). 1.30/1.48 thf(c_0_52, plain, ((a_inv_b_d @ s @ (a_inv_b_d @ s @ (esk51_1 @ (hd_b @ x))))=(esk51_1 @ (hd_b @ x))), inference(spm,[status(thm)],[c_0_38, c_0_39])). 1.30/1.48 thf(c_0_53, plain, ((a_inv_b_d @ s @ (esk51_1 @ (hd_b @ x)))=(hd_b @ x)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_39]), c_0_20])])). 1.30/1.48 thf(c_0_54, plain, ((add_b_d @ s @ (esk51_1 @ (a_inv_b_d @ s @ (hd_b @ x))) @ (a_inv_b_d @ s @ (hd_b @ x)))=(zero_b_d @ s)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44]), c_0_31])])). 1.30/1.48 thf(c_0_55, plain, ((a_inv_b_d @ s @ (a_inv_b_d @ s @ (hd_b @ x)))=(hd_b @ x)), inference(spm,[status(thm)],[c_0_38, c_0_20])). 1.30/1.48 thf(c_0_56, negated_conjecture, ((the_inv_into_a_b @ (partia778085601923319190xt_a_c @ r) @ h @ (hd_b @ x))=(the_inv_into_a_b @ (partia778085601923319190xt_a_c @ r) @ h @ (zero_b_d @ s))), inference(split_conjunct,[status(thm)],[c_0_45])). 1.30/1.48 thf(c_0_57, plain, ((the_inv_into_a_b @ (partia778085601923319190xt_a_c @ r) @ h @ (zero_b_d @ s))=(zero_a_c @ r)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48]), c_0_48]), c_0_49]), c_0_48]), c_0_48])). 1.30/1.48 thf(c_0_58, plain, ![X6:b]:((((h @ (the_inv_into_a_b @ (partia778085601923319190xt_a_c @ r) @ h @ X6))=(X6))|~((member_b @ X6 @ (partia8782771468121683032xt_b_d @ s))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_33]), c_0_51])). 1.30/1.48 thf(c_0_59, plain, (member_b @ (esk51_1 @ (esk51_1 @ (hd_b @ x))) @ (partia8782771468121683032xt_b_d @ s)), inference(spm,[status(thm)],[c_0_27, c_0_39])). 1.30/1.48 thf(c_0_60, plain, ((esk51_1 @ (hd_b @ x))=(a_inv_b_d @ s @ (hd_b @ x))), inference(rw,[status(thm)],[c_0_52, c_0_53])). 1.30/1.48 thf(c_0_61, plain, ((esk51_1 @ (a_inv_b_d @ s @ (hd_b @ x)))=(hd_b @ x)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_54]), c_0_55]), c_0_31]), c_0_44])])). 1.30/1.48 thf(c_0_62, negated_conjecture, ((the_inv_into_a_b @ (partia778085601923319190xt_a_c @ r) @ h @ (hd_b @ x))=(zero_a_c @ r)), inference(rw,[status(thm)],[c_0_56, c_0_57])). 1.30/1.48 thf(c_0_63, plain, ((hd_b @ x)!=(zero_b_d @ s)), inference(split_conjunct,[status(thm)],[fact_1__092_060open_062lead__coeff_Ax_A_092_060noteq_062_A_092_060zero_062_092_060_094bsub_062S_092_060_094esub_062_092_060close_062])). 1.30/1.48 thf(c_0_64, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_49]), c_0_60]), c_0_61]), c_0_63]), ['proof']). 1.30/1.48 # SZS output end CNFRefutation 1.30/1.48 # Parsed axioms : 1620 1.30/1.48 # Removed by relevancy pruning/SinE : 0 1.30/1.48 # Initial clauses : 2386 1.30/1.48 # Removed in clause preprocessing : 374 1.30/1.48 # Initial clauses in saturation : 2012 1.30/1.48 # Processed clauses : 9990 1.30/1.48 # ...of these trivial : 228 1.30/1.48 # ...subsumed : 4872 1.30/1.48 # ...remaining for further processing : 4890 1.30/1.48 # Other redundant clauses eliminated : 301 1.30/1.48 # Clauses deleted for lack of memory : 0 1.30/1.48 # Backward-subsumed : 9 1.30/1.48 # Backward-rewritten : 358 1.30/1.48 # Generated clauses : 26924 1.30/1.48 # ...of the previous two non-redundant : 22449 1.30/1.48 # ...aggressively subsumed : 0 1.30/1.48 # Contextual simplify-reflections : 32 1.30/1.48 # Paramodulations : 26280 1.30/1.48 # Factorizations : 0 1.30/1.48 # NegExts : 56 1.30/1.48 # Equation resolutions : 324 1.30/1.48 # Propositional unsat checks : 0 1.30/1.48 # Propositional check models : 0 1.30/1.48 # Propositional check unsatisfiable : 0 1.30/1.48 # Propositional clauses : 0 1.30/1.48 # Propositional clauses after purity: 0 1.30/1.48 # Propositional unsat core size : 0 1.30/1.48 # Propositional preprocessing time : 0.000 1.30/1.48 # Propositional encoding time : 0.000 1.30/1.48 # Propositional solver time : 0.000 1.30/1.48 # Success case prop preproc time : 0.000 1.30/1.48 # Success case prop encoding time : 0.000 1.30/1.48 # Success case prop solver time : 0.000 1.30/1.48 # Current number of processed clauses : 2618 1.30/1.48 # Positive orientable unit clauses : 1112 1.30/1.48 # Positive unorientable unit clauses: 15 1.30/1.48 # Negative unit clauses : 387 1.30/1.48 # Non-unit-clauses : 1104 1.30/1.48 # Current number of unprocessed clauses: 15775 1.30/1.48 # ...number of literals in the above : 25848 1.30/1.48 # Current number of archived formulas : 0 1.30/1.48 # Current number of archived clauses : 2038 1.30/1.48 # Clause-clause subsumption calls (NU) : 987464 1.30/1.48 # Rec. Clause-clause subsumption calls : 422829 1.30/1.48 # Non-unit clause-clause subsumptions : 586 1.30/1.48 # Unit Clause-clause subsumption calls : 82135 1.30/1.48 # Rewrite failures with RHS unbound : 0 1.30/1.48 # BW rewrite match attempts : 4818 1.30/1.48 # BW rewrite match successes : 105 1.30/1.48 # Condensation attempts : 0 1.30/1.48 # Condensation successes : 0 1.30/1.48 # Termbank termtop insertions : 739258 1.30/1.48 1.30/1.48 # ------------------------------------------------- 1.30/1.48 # User time : 0.805 s 1.30/1.48 # System time : 0.034 s 1.30/1.48 # Total time : 0.839 s 1.30/1.48 # Maximum resident set size: 13108 pages 1.30/1.48 1.30/1.48 # ------------------------------------------------- 1.30/1.48 # User time : 0.835 s 1.30/1.48 # System time : 0.038 s 1.30/1.48 # Total time : 0.873 s 1.30/1.48 # Maximum resident set size: 5132 pages 1.30/1.48 EOF