0.06/0.12 % Problem : SLH634^1 : TPTP v7.5.0. Released v7.5.0. 0.06/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n015.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 03:31:41 EDT 2022 0.13/0.34 % CPUTime : 0.19/0.47 The problem SPC is TH0_THM_EQU_NAR 0.19/0.47 Running higher-order on 1 cores theorem proving 0.19/0.47 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 0.19/0.47 # Version: 3.0pre003-ho 0.37/0.72 # Preprocessing class: HSLSSMSMSSMNSFA. 0.37/0.72 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.37/0.72 # Starting new_ho_3 with 30s (1) cores 0.37/0.72 # new_ho_3 with pid 21360 completed with status 0 0.37/0.72 # Result found by new_ho_3 0.37/0.72 # Preprocessing class: HSLSSMSMSSMNSFA. 0.37/0.72 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.37/0.72 # Starting new_ho_3 with 30s (1) cores 0.37/0.72 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.37/0.72 # ...ProofStateSinE()=314/441 0.37/0.72 # Search class: HGHSM-FSLM31-MSFFFFNN 0.37/0.72 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.37/0.72 # Starting new_ho_10 with 17s (1) cores 0.37/0.72 # new_ho_10 with pid 21369 completed with status 0 0.37/0.72 # Result found by new_ho_10 0.37/0.72 # Preprocessing class: HSLSSMSMSSMNSFA. 0.37/0.72 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.37/0.72 # Starting new_ho_3 with 30s (1) cores 0.37/0.72 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.37/0.72 # ...ProofStateSinE()=314/441 0.37/0.72 # Search class: HGHSM-FSLM31-MSFFFFNN 0.37/0.72 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.37/0.72 # Starting new_ho_10 with 17s (1) cores 0.37/0.72 # Preprocessing time : 0.016 s 0.37/0.72 # Presaturation interreduction done 0.37/0.72 0.37/0.72 # Proof found! 0.37/0.72 # SZS status Theorem 0.37/0.72 # SZS output start CNFRefutation 0.37/0.72 thf(decl_22, type, a_RCOSETS_a_b: partia1833973666xt_a_b > set_a > set_set_a). 0.37/0.72 thf(decl_23, type, a_l_coset_a_b: partia1833973666xt_a_b > a > set_a > set_a). 0.37/0.72 thf(decl_24, type, a_r_coset_a_b: partia1833973666xt_a_b > set_a > a > set_a). 0.37/0.72 thf(decl_25, type, additi2104487374up_a_b: set_a > partia1833973666xt_a_b > $o). 0.37/0.72 thf(decl_26, type, set_add_a_b: partia1833973666xt_a_b > set_a > set_a > set_a). 0.37/0.72 thf(decl_27, type, partia206007992t_unit: partia1993116613t_unit > set_Product_prod_a_a). 0.37/0.72 thf(decl_28, type, partia616129906t_unit: partia539144763t_unit > set_se1596668135od_a_a). 0.37/0.72 thf(decl_29, type, partia1542616940t_unit: partia102749561t_unit > set_se1596668135od_a_a). 0.37/0.72 thf(decl_30, type, partia1066395285xt_a_b: partia1833973666xt_a_b > set_a). 0.37/0.72 thf(decl_31, type, comm_m1944618051t_unit: partia539144763t_unit > $o). 0.37/0.72 thf(decl_32, type, comm_m1916240375xt_a_b: partia1833973666xt_a_b > $o). 0.37/0.72 thf(decl_33, type, mult_s977248631t_unit: partia539144763t_unit > set_Product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a). 0.37/0.72 thf(decl_34, type, mult_s2123207697t_unit: partia102749561t_unit > set_Product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a). 0.37/0.72 thf(decl_35, type, mult_a_ring_ext_a_b: partia1833973666xt_a_b > a > a > a). 0.37/0.72 thf(decl_36, type, one_se1488596747t_unit: partia539144763t_unit > set_Product_prod_a_a). 0.37/0.72 thf(decl_37, type, one_a_ring_ext_a_b: partia1833973666xt_a_b > a). 0.37/0.72 thf(decl_38, type, minus_minus_int: int > int > int). 0.37/0.72 thf(decl_39, type, plus_plus_int: int > int > int). 0.37/0.72 thf(decl_40, type, uminus_uminus_int: int > int). 0.37/0.72 thf(decl_41, type, locali1170246543t_unit: partia1993116613t_unit > a > a > set_Product_prod_a_a). 0.37/0.72 thf(decl_42, type, locali1648887798ac_a_b: partia1833973666xt_a_b > set_a > $o). 0.37/0.72 thf(decl_43, type, locali1944243560ac_a_b: partia1833973666xt_a_b > set_a > partia539144763t_unit). 0.37/0.72 thf(decl_44, type, locali1033473574ac_a_b: partia1833973666xt_a_b > set_a > partia102749561t_unit). 0.37/0.72 thf(decl_45, type, locali807230110ng_a_b: partia1833973666xt_a_b > set_a > $o). 0.37/0.72 thf(decl_46, type, locali880295127ng_a_b: partia1833973666xt_a_b > set_a > $o). 0.37/0.72 thf(decl_47, type, locali1538946157t_unit: partia1993116613t_unit > set_se1596668135od_a_a). 0.37/0.72 thf(decl_48, type, locali1488796916t_unit: partia539144763t_unit > set_se1596668135od_a_a > $o). 0.37/0.72 thf(decl_49, type, locali425460998xt_a_b: partia1833973666xt_a_b > set_a > $o). 0.37/0.72 thf(decl_50, type, bot_bo2131659635od_a_a: set_Product_prod_a_a). 0.37/0.72 thf(decl_51, type, bot_bo1424703315od_a_a: set_se1596668135od_a_a). 0.37/0.72 thf(decl_52, type, bot_bot_set_set_a: set_set_a). 0.37/0.72 thf(decl_53, type, bot_bot_set_a: set_a). 0.37/0.72 thf(decl_54, type, ord_less_eq_int: int > int > $o). 0.37/0.72 thf(decl_55, type, ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o). 0.37/0.72 thf(decl_56, type, ord_le391835783od_a_a: set_se1596668135od_a_a > set_se1596668135od_a_a > $o). 0.37/0.72 thf(decl_57, type, ord_le318720350_set_a: set_set_a > set_set_a > $o). 0.37/0.72 thf(decl_58, type, ord_less_eq_set_a: set_a > set_a > $o). 0.37/0.72 thf(decl_59, type, product_Pair_a_a: a > a > product_prod_a_a). 0.37/0.72 thf(decl_60, type, a_inv_a_b: partia1833973666xt_a_b > a > a). 0.37/0.72 thf(decl_61, type, add_pow_a_b_int: partia1833973666xt_a_b > int > a > a). 0.37/0.72 thf(decl_62, type, field_a_b: partia1833973666xt_a_b > $o). 0.37/0.72 thf(decl_63, type, add_se1819097291t_unit: partia102749561t_unit > set_Product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a). 0.37/0.72 thf(decl_64, type, add_a_b: partia1833973666xt_a_b > a > a > a). 0.37/0.72 thf(decl_65, type, zero_s1472533770t_unit: partia102749561t_unit > set_Product_prod_a_a). 0.37/0.72 thf(decl_66, type, zero_a_b: partia1833973666xt_a_b > a). 0.37/0.72 thf(decl_67, type, semiri944652256t_unit: partia102749561t_unit > $o). 0.37/0.72 thf(decl_68, type, semiring_a_b: partia1833973666xt_a_b > $o). 0.37/0.72 thf(decl_69, type, collec645855634od_a_a: (product_prod_a_a > $o) > set_Product_prod_a_a). 0.37/0.72 thf(decl_70, type, collec183727474od_a_a: (set_Product_prod_a_a > $o) > set_se1596668135od_a_a). 0.37/0.72 thf(decl_71, type, collect_set_a: (set_a > $o) > set_set_a). 0.37/0.72 thf(decl_72, type, collect_a: (a > $o) > set_a). 0.37/0.72 thf(decl_73, type, pow_Product_prod_a_a: set_Product_prod_a_a > set_se1596668135od_a_a). 0.37/0.72 thf(decl_74, type, pow_set_a: set_set_a > set_set_set_a). 0.37/0.72 thf(decl_75, type, pow_a: set_a > set_set_a). 0.37/0.72 thf(decl_76, type, insert1116662519od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a). 0.37/0.72 thf(decl_77, type, insert1738756823od_a_a: set_Product_prod_a_a > set_se1596668135od_a_a > set_se1596668135od_a_a). 0.37/0.72 thf(decl_78, type, insert_set_a: set_a > set_set_a > set_set_a). 0.37/0.72 thf(decl_79, type, insert_a: a > set_a > set_a). 0.37/0.72 thf(decl_80, type, member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o). 0.37/0.72 thf(decl_81, type, member1838126896od_a_a: set_Product_prod_a_a > set_se1596668135od_a_a > $o). 0.37/0.72 thf(decl_82, type, member_set_set_a: set_set_a > set_set_set_a > $o). 0.37/0.72 thf(decl_83, type, member_set_a: set_a > set_set_a > $o). 0.37/0.72 thf(decl_84, type, member_a: a > set_a > $o). 0.37/0.72 thf(decl_85, type, r: partia1833973666xt_a_b). 0.37/0.72 thf(decl_86, type, s: set_a). 0.37/0.72 thf(decl_87, type, r2: a). 0.37/0.72 thf(decl_88, type, r3: a). 0.37/0.72 thf(decl_89, type, r4: a). 0.37/0.72 thf(decl_90, type, rel: partia1993116613t_unit). 0.37/0.72 thf(decl_91, type, s2: a). 0.37/0.72 thf(decl_92, type, s3: a). 0.37/0.72 thf(decl_93, type, s4: a). 0.37/0.72 thf(decl_94, type, esk1_1: a > a). 0.37/0.72 thf(decl_95, type, esk2_1: a > a). 0.37/0.72 thf(decl_96, type, esk3_1: a > a). 0.37/0.72 thf(decl_97, type, esk4_1: a > a). 0.37/0.72 thf(decl_98, type, esk5_1: set_a > a). 0.37/0.72 thf(decl_99, type, esk6_1: set_a > a). 0.37/0.72 thf(decl_100, type, esk7_1: set_a > a). 0.37/0.72 thf(decl_101, type, esk8_1: set_Product_prod_a_a > product_prod_a_a). 0.37/0.72 thf(decl_102, type, esk9_2: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a). 0.37/0.72 thf(decl_103, type, esk10_1: set_Product_prod_a_a > product_prod_a_a). 0.37/0.72 thf(decl_104, type, esk11_1: set_Product_prod_a_a > product_prod_a_a). 0.37/0.72 thf(decl_105, type, esk12_2: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a). 0.37/0.72 thf(decl_106, type, esk13_2: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a). 0.37/0.72 thf(decl_107, type, esk14_2: product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a). 0.37/0.72 thf(decl_108, type, esk15_4: product_prod_a_a > set_Product_prod_a_a > product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a). 0.37/0.72 thf(decl_109, type, esk16_2: product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a). 0.37/0.72 thf(decl_110, type, esk17_1: set_a > a). 0.37/0.72 thf(decl_111, type, esk18_2: set_a > set_a > a). 0.37/0.72 thf(decl_112, type, esk19_1: set_a > a). 0.37/0.72 thf(decl_113, type, esk20_1: set_a > a). 0.37/0.72 thf(decl_114, type, esk21_2: set_a > set_a > a). 0.37/0.72 thf(decl_115, type, esk22_2: set_a > set_a > a). 0.37/0.72 thf(decl_116, type, esk23_2: a > set_a > set_a). 0.37/0.72 thf(decl_117, type, esk24_4: a > set_a > a > set_a > set_a). 0.37/0.72 thf(decl_118, type, esk25_2: a > set_a > set_a). 0.37/0.72 thf(decl_119, type, esk26_1: partia539144763t_unit > set_Product_prod_a_a). 0.37/0.72 thf(decl_120, type, esk27_1: partia539144763t_unit > set_Product_prod_a_a). 0.37/0.72 thf(decl_121, type, esk28_1: partia539144763t_unit > set_Product_prod_a_a). 0.37/0.72 thf(decl_122, type, esk29_1: partia539144763t_unit > set_Product_prod_a_a). 0.37/0.72 thf(decl_123, type, esk30_1: partia539144763t_unit > set_Product_prod_a_a). 0.37/0.72 thf(decl_124, type, esk31_1: partia539144763t_unit > set_Product_prod_a_a). 0.37/0.72 thf(decl_125, type, esk32_1: partia539144763t_unit > set_Product_prod_a_a). 0.37/0.72 thf(decl_126, type, esk33_1: partia539144763t_unit > set_Product_prod_a_a). 0.37/0.72 thf(decl_127, type, esk34_1: partia1833973666xt_a_b > a). 0.37/0.72 thf(decl_128, type, esk35_1: partia1833973666xt_a_b > a). 0.37/0.72 thf(decl_129, type, esk36_1: partia1833973666xt_a_b > a). 0.37/0.72 thf(decl_130, type, esk37_1: partia1833973666xt_a_b > a). 0.37/0.72 thf(decl_131, type, esk38_1: partia1833973666xt_a_b > a). 0.37/0.72 thf(decl_132, type, esk39_1: partia1833973666xt_a_b > a). 0.37/0.72 thf(decl_133, type, esk40_1: partia1833973666xt_a_b > a). 0.37/0.72 thf(decl_134, type, esk41_1: partia1833973666xt_a_b > a). 0.37/0.72 thf(decl_135, type, esk42_1: set_se1596668135od_a_a > set_Product_prod_a_a). 0.37/0.72 thf(decl_136, type, esk43_1: set_se1596668135od_a_a > set_Product_prod_a_a). 0.37/0.72 thf(decl_137, type, esk44_1: set_se1596668135od_a_a > set_Product_prod_a_a). 0.37/0.72 thf(decl_138, type, esk45_2: set_Product_prod_a_a > set_se1596668135od_a_a > set_se1596668135od_a_a). 0.37/0.72 thf(decl_139, type, esk46_4: set_Product_prod_a_a > set_se1596668135od_a_a > set_Product_prod_a_a > set_se1596668135od_a_a > set_se1596668135od_a_a). 0.37/0.72 thf(decl_140, type, esk47_2: set_Product_prod_a_a > set_se1596668135od_a_a > set_se1596668135od_a_a). 0.37/0.72 thf(decl_141, type, esk48_0: a). 0.37/0.72 thf(decl_142, type, esk49_0: a). 0.37/0.72 thf(decl_143, type, esk50_1: set_set_a > set_a). 0.37/0.72 thf(decl_144, type, esk51_2: set_set_a > set_set_a > set_a). 0.37/0.72 thf(decl_145, type, esk52_1: set_set_a > set_a). 0.37/0.72 thf(decl_146, type, esk53_1: set_set_a > set_a). 0.37/0.72 thf(decl_147, type, esk54_2: set_set_a > set_set_a > set_a). 0.37/0.72 thf(decl_148, type, esk55_2: set_set_a > set_set_a > set_a). 0.37/0.72 thf(decl_149, type, esk56_2: set_a > set_set_a > set_set_a). 0.37/0.72 thf(decl_150, type, esk57_4: set_a > set_set_a > set_a > set_set_a > set_set_a). 0.37/0.72 thf(decl_151, type, esk58_2: set_a > set_set_a > set_set_a). 0.37/0.72 thf(decl_152, type, esk59_2: set_se1596668135od_a_a > set_se1596668135od_a_a > set_Product_prod_a_a). 0.37/0.72 thf(decl_153, type, esk60_2: set_se1596668135od_a_a > set_se1596668135od_a_a > set_Product_prod_a_a). 0.37/0.72 thf(decl_154, type, esk61_2: set_se1596668135od_a_a > set_se1596668135od_a_a > set_Product_prod_a_a). 0.37/0.72 thf(conj_0, conjecture, ((add_se1819097291t_unit @ (locali1033473574ac_a_b @ r @ s) @ (add_se1819097291t_unit @ (locali1033473574ac_a_b @ r @ s) @ (locali1170246543t_unit @ rel @ r2 @ s2) @ (locali1170246543t_unit @ rel @ r3 @ s3)) @ (locali1170246543t_unit @ rel @ r4 @ s4))=(locali1170246543t_unit @ rel @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s4 @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s3 @ r2) @ (mult_a_ring_ext_a_b @ r @ s2 @ r3))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ r4)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ s4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 0.37/0.72 thf(fact_7__092_060open_062_Ir_A_124_092_060_094bsub_062rel_092_060_094esub_062_As_J_A_092_060oplus_062_092_060_094bsub_062rec__rng__of__frac_092_060_094esub_062_A_Ir_H_A_124_092_060_094bsub_062rel_092_060_094esub_062_As_H_J_A_061_A_Is_H_A_092_060otimes_062_Ar_A_092_060oplus_062_As_A_092_060otimes_062_Ar_H_A_124_092_060_094bsub_062rel_092_060_094esub_062_As_A_092_060otimes_062_As_H_J_092_060close_062, axiom, ((add_se1819097291t_unit @ (locali1033473574ac_a_b @ r @ s) @ (locali1170246543t_unit @ rel @ r2 @ s2) @ (locali1170246543t_unit @ rel @ r3 @ s3))=(locali1170246543t_unit @ rel @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s3 @ r2) @ (mult_a_ring_ext_a_b @ r @ s2 @ r3)) @ (mult_a_ring_ext_a_b @ r @ s2 @ s3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_7__092_060open_062_Ir_A_124_092_060_094bsub_062rel_092_060_094esub_062_As_J_A_092_060oplus_062_092_060_094bsub_062rec__rng__of__frac_092_060_094esub_062_A_Ir_H_A_124_092_060_094bsub_062rel_092_060_094esub_062_As_H_J_A_061_A_Is_H_A_092_060otimes_062_Ar_A_092_060oplus_062_As_A_092_060otimes_062_Ar_H_A_124_092_060_094bsub_062rel_092_060_094esub_062_As_A_092_060otimes_062_As_H_J_092_060close_062)). 0.37/0.72 thf(fact_6_add__rng__of__frac__fundamental__lemma, axiom, ![X4:a, X5:a, X6:a, X7:a]:(((member449909584od_a_a @ (product_Pair_a_a @ X4 @ X5) @ (partia206007992t_unit @ rel))=>((member449909584od_a_a @ (product_Pair_a_a @ X6 @ X7) @ (partia206007992t_unit @ rel))=>((add_se1819097291t_unit @ (locali1033473574ac_a_b @ r @ s) @ (locali1170246543t_unit @ rel @ X4 @ X5) @ (locali1170246543t_unit @ rel @ X6 @ X7))=(locali1170246543t_unit @ rel @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ X7 @ X4) @ (mult_a_ring_ext_a_b @ r @ X5 @ X6)) @ (mult_a_ring_ext_a_b @ r @ X5 @ X7)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_6_add__rng__of__frac__fundamental__lemma)). 0.37/0.72 thf(fact_4_assms_I3_J, axiom, (member449909584od_a_a @ (product_Pair_a_a @ r4 @ s4) @ (partia206007992t_unit @ rel)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_4_assms_I3_J)). 0.37/0.72 thf(fact_1_closed__rel__add, axiom, ![X4:a, X5:a, X6:a, X7:a]:(((member449909584od_a_a @ (product_Pair_a_a @ X4 @ X5) @ (partia206007992t_unit @ rel))=>((member449909584od_a_a @ (product_Pair_a_a @ X6 @ X7) @ (partia206007992t_unit @ rel))=>(member449909584od_a_a @ (product_Pair_a_a @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ X7 @ X4) @ (mult_a_ring_ext_a_b @ r @ X5 @ X6)) @ (mult_a_ring_ext_a_b @ r @ X5 @ X7)) @ (partia206007992t_unit @ rel))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_1_closed__rel__add)). 0.37/0.72 thf(fact_2_assms_I2_J, axiom, (member449909584od_a_a @ (product_Pair_a_a @ r3 @ s3) @ (partia206007992t_unit @ rel)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_2_assms_I2_J)). 0.37/0.72 thf(fact_3_assms_I1_J, axiom, (member449909584od_a_a @ (product_Pair_a_a @ r2 @ s2) @ (partia206007992t_unit @ rel)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_3_assms_I1_J)). 0.37/0.72 thf(c_0_7, negated_conjecture, ((add_se1819097291t_unit @ (locali1033473574ac_a_b @ r @ s) @ (add_se1819097291t_unit @ (locali1033473574ac_a_b @ r @ s) @ (locali1170246543t_unit @ rel @ r2 @ s2) @ (locali1170246543t_unit @ rel @ r3 @ s3)) @ (locali1170246543t_unit @ rel @ r4 @ s4))!=(locali1170246543t_unit @ rel @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s4 @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s3 @ r2) @ (mult_a_ring_ext_a_b @ r @ s2 @ r3))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ r4)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ s4))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.37/0.72 thf(c_0_8, negated_conjecture, ((add_se1819097291t_unit @ (locali1033473574ac_a_b @ r @ s) @ (add_se1819097291t_unit @ (locali1033473574ac_a_b @ r @ s) @ (locali1170246543t_unit @ rel @ r2 @ s2) @ (locali1170246543t_unit @ rel @ r3 @ s3)) @ (locali1170246543t_unit @ rel @ r4 @ s4))!=(locali1170246543t_unit @ rel @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s4 @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s3 @ r2) @ (mult_a_ring_ext_a_b @ r @ s2 @ r3))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ r4)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ s4))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.37/0.72 thf(c_0_9, plain, ((add_se1819097291t_unit @ (locali1033473574ac_a_b @ r @ s) @ (locali1170246543t_unit @ rel @ r2 @ s2) @ (locali1170246543t_unit @ rel @ r3 @ s3))=(locali1170246543t_unit @ rel @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s3 @ r2) @ (mult_a_ring_ext_a_b @ r @ s2 @ r3)) @ (mult_a_ring_ext_a_b @ r @ s2 @ s3))), inference(split_conjunct,[status(thm)],[fact_7__092_060open_062_Ir_A_124_092_060_094bsub_062rel_092_060_094esub_062_As_J_A_092_060oplus_062_092_060_094bsub_062rec__rng__of__frac_092_060_094esub_062_A_Ir_H_A_124_092_060_094bsub_062rel_092_060_094esub_062_As_H_J_A_061_A_Is_H_A_092_060otimes_062_Ar_A_092_060oplus_062_As_A_092_060otimes_062_Ar_H_A_124_092_060_094bsub_062rel_092_060_094esub_062_As_A_092_060otimes_062_As_H_J_092_060close_062])). 0.37/0.72 thf(c_0_10, plain, ![X1209:a, X1210:a, X1211:a, X1212:a]:((~(member449909584od_a_a @ (product_Pair_a_a @ X1209 @ X1210) @ (partia206007992t_unit @ rel))|(~(member449909584od_a_a @ (product_Pair_a_a @ X1211 @ X1212) @ (partia206007992t_unit @ rel))|((add_se1819097291t_unit @ (locali1033473574ac_a_b @ r @ s) @ (locali1170246543t_unit @ rel @ X1209 @ X1210) @ (locali1170246543t_unit @ rel @ X1211 @ X1212))=(locali1170246543t_unit @ rel @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ X1212 @ X1209) @ (mult_a_ring_ext_a_b @ r @ X1210 @ X1211)) @ (mult_a_ring_ext_a_b @ r @ X1210 @ X1212)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_6_add__rng__of__frac__fundamental__lemma])])). 0.37/0.72 thf(c_0_11, negated_conjecture, ((add_se1819097291t_unit @ (locali1033473574ac_a_b @ r @ s) @ (locali1170246543t_unit @ rel @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s3 @ r2) @ (mult_a_ring_ext_a_b @ r @ s2 @ r3)) @ (mult_a_ring_ext_a_b @ r @ s2 @ s3)) @ (locali1170246543t_unit @ rel @ r4 @ s4))!=(locali1170246543t_unit @ rel @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s4 @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s3 @ r2) @ (mult_a_ring_ext_a_b @ r @ s2 @ r3))) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ r4)) @ (mult_a_ring_ext_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s2 @ s3) @ s4))), inference(rw,[status(thm)],[c_0_8, c_0_9])). 0.37/0.72 thf(c_0_12, plain, ![X1:a, X2:a, X3:a, X4:a]:((((add_se1819097291t_unit @ (locali1033473574ac_a_b @ r @ s) @ (locali1170246543t_unit @ rel @ X1 @ X2) @ (locali1170246543t_unit @ rel @ X3 @ X4))=(locali1170246543t_unit @ rel @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ X4 @ X1) @ (mult_a_ring_ext_a_b @ r @ X2 @ X3)) @ (mult_a_ring_ext_a_b @ r @ X2 @ X4)))|~((member449909584od_a_a @ (product_Pair_a_a @ X1 @ X2) @ (partia206007992t_unit @ rel)))|~((member449909584od_a_a @ (product_Pair_a_a @ X3 @ X4) @ (partia206007992t_unit @ rel))))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.37/0.72 thf(c_0_13, plain, (member449909584od_a_a @ (product_Pair_a_a @ r4 @ s4) @ (partia206007992t_unit @ rel)), inference(split_conjunct,[status(thm)],[fact_4_assms_I3_J])). 0.37/0.72 thf(c_0_14, plain, ![X1237:a, X1238:a, X1239:a, X1240:a]:((~(member449909584od_a_a @ (product_Pair_a_a @ X1237 @ X1238) @ (partia206007992t_unit @ rel))|(~(member449909584od_a_a @ (product_Pair_a_a @ X1239 @ X1240) @ (partia206007992t_unit @ rel))|(member449909584od_a_a @ (product_Pair_a_a @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ X1240 @ X1237) @ (mult_a_ring_ext_a_b @ r @ X1238 @ X1239)) @ (mult_a_ring_ext_a_b @ r @ X1238 @ X1240)) @ (partia206007992t_unit @ rel))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1_closed__rel__add])])). 0.37/0.72 thf(c_0_15, negated_conjecture, ~((member449909584od_a_a @ (product_Pair_a_a @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ s3 @ r2) @ (mult_a_ring_ext_a_b @ r @ s2 @ r3)) @ (mult_a_ring_ext_a_b @ r @ s2 @ s3)) @ (partia206007992t_unit @ rel))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13])])). 0.37/0.72 thf(c_0_16, plain, ![X1:a, X2:a, X3:a, X4:a]:(((member449909584od_a_a @ (product_Pair_a_a @ (add_a_b @ r @ (mult_a_ring_ext_a_b @ r @ X4 @ X1) @ (mult_a_ring_ext_a_b @ r @ X2 @ X3)) @ (mult_a_ring_ext_a_b @ r @ X2 @ X4)) @ (partia206007992t_unit @ rel))|~((member449909584od_a_a @ (product_Pair_a_a @ X1 @ X2) @ (partia206007992t_unit @ rel)))|~((member449909584od_a_a @ (product_Pair_a_a @ X3 @ X4) @ (partia206007992t_unit @ rel))))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.37/0.72 thf(c_0_17, plain, (member449909584od_a_a @ (product_Pair_a_a @ r3 @ s3) @ (partia206007992t_unit @ rel)), inference(split_conjunct,[status(thm)],[fact_2_assms_I2_J])). 0.37/0.72 thf(c_0_18, plain, (member449909584od_a_a @ (product_Pair_a_a @ r2 @ s2) @ (partia206007992t_unit @ rel)), inference(split_conjunct,[status(thm)],[fact_3_assms_I1_J])). 0.37/0.72 thf(c_0_19, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17]), c_0_18])]), ['proof']). 0.37/0.72 # SZS output end CNFRefutation 0.37/0.72 # Parsed axioms : 441 0.37/0.72 # Removed by relevancy pruning/SinE : 127 0.37/0.72 # Initial clauses : 616 0.37/0.72 # Removed in clause preprocessing : 24 0.37/0.72 # Initial clauses in saturation : 592 0.37/0.72 # Processed clauses : 1103 0.37/0.72 # ...of these trivial : 11 0.37/0.72 # ...subsumed : 206 0.37/0.72 # ...remaining for further processing : 886 0.37/0.72 # Other redundant clauses eliminated : 187 0.37/0.72 # Clauses deleted for lack of memory : 0 0.37/0.72 # Backward-subsumed : 3 0.37/0.72 # Backward-rewritten : 7 0.37/0.72 # Generated clauses : 2614 0.37/0.72 # ...of the previous two non-redundant : 2189 0.37/0.72 # ...aggressively subsumed : 0 0.37/0.72 # Contextual simplify-reflections : 13 0.37/0.72 # Paramodulations : 2423 0.37/0.72 # Factorizations : 0 0.37/0.72 # NegExts : 0 0.37/0.72 # Equation resolutions : 202 0.37/0.72 # Propositional unsat checks : 0 0.37/0.72 # Propositional check models : 0 0.37/0.72 # Propositional check unsatisfiable : 0 0.37/0.72 # Propositional clauses : 0 0.37/0.72 # Propositional clauses after purity: 0 0.37/0.72 # Propositional unsat core size : 0 0.37/0.72 # Propositional preprocessing time : 0.000 0.37/0.72 # Propositional encoding time : 0.000 0.37/0.72 # Propositional solver time : 0.000 0.37/0.72 # Success case prop preproc time : 0.000 0.37/0.72 # Success case prop encoding time : 0.000 0.37/0.72 # Success case prop solver time : 0.000 0.37/0.72 # Current number of processed clauses : 348 0.37/0.72 # Positive orientable unit clauses : 47 0.37/0.72 # Positive unorientable unit clauses: 4 0.37/0.72 # Negative unit clauses : 12 0.37/0.72 # Non-unit-clauses : 285 0.37/0.72 # Current number of unprocessed clauses: 2131 0.37/0.72 # ...number of literals in the above : 9791 0.37/0.72 # Current number of archived formulas : 0 0.37/0.72 # Current number of archived clauses : 465 0.37/0.72 # Clause-clause subsumption calls (NU) : 124656 0.37/0.72 # Rec. Clause-clause subsumption calls : 28854 0.37/0.72 # Non-unit clause-clause subsumptions : 162 0.37/0.72 # Unit Clause-clause subsumption calls : 428 0.37/0.72 # Rewrite failures with RHS unbound : 0 0.37/0.72 # BW rewrite match attempts : 54 0.37/0.72 # BW rewrite match successes : 27 0.37/0.72 # Condensation attempts : 1103 0.37/0.72 # Condensation successes : 1 0.37/0.72 # Termbank termtop insertions : 116461 0.37/0.72 0.37/0.72 # ------------------------------------------------- 0.37/0.72 # User time : 0.218 s 0.37/0.72 # System time : 0.015 s 0.37/0.72 # Total time : 0.234 s 0.37/0.72 # Maximum resident set size: 4764 pages 0.37/0.72 0.37/0.72 # ------------------------------------------------- 0.37/0.72 # User time : 0.230 s 0.37/0.72 # System time : 0.020 s 0.37/0.72 # Total time : 0.251 s 0.37/0.72 # Maximum resident set size: 2404 pages 0.37/0.72 EOF