0.31/0.31 % Problem : SLH0232^1 : TPTP v8.2.0. Released v8.2.0. 0.31/0.32 % Command : run_E %s %d THM 0.32/0.53 % Computer : n026.cluster.edu 0.32/0.53 % Model : x86_64 x86_64 0.32/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.32/0.53 % Memory : 8042.1875MB 0.32/0.53 % OS : Linux 3.10.0-693.el7.x86_64 0.32/0.53 % CPULimit : 30 0.32/0.53 % WCLimit : 30 0.32/0.53 % DateTime : Mon Jul 3 08:53:52 EDT 2023 0.32/0.53 % CPUTime : 0.44/0.65 The problem SPC is TH0_THM_EQU_NAR 0.44/0.65 Running higher-order on 1 cores theorem proving 0.44/0.66 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/tmp/tmp.y3bzay7xek/Vampire---4.8_23501 0.44/0.66 # Version: 3.0pre003-ho 0.50/1.17 # Preprocessing class: HMLMSMSMSSLNHSA. 0.50/1.17 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.50/1.17 # Starting sh2lt with 30s (1) cores 0.50/1.17 # sh2lt with pid 23680 completed with status 0 0.50/1.17 # Result found by sh2lt 0.50/1.17 # Preprocessing class: HMLMSMSMSSLNHSA. 0.50/1.17 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.50/1.17 # Starting sh2lt with 30s (1) cores 0.50/1.17 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.50/1.17 # ...ProofStateSinE()=1099/1670 0.50/1.17 # Search class: HGHSM-SMLM32-MHSFFSBN 0.50/1.17 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 0.50/1.17 # Starting sh2 with 14s (1) cores 0.50/1.17 # sh2 with pid 23681 completed with status 0 0.50/1.17 # Result found by sh2 0.50/1.17 # Preprocessing class: HMLMSMSMSSLNHSA. 0.50/1.17 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.50/1.17 # Starting sh2lt with 30s (1) cores 0.50/1.17 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.50/1.17 # ...ProofStateSinE()=1099/1670 0.50/1.17 # Search class: HGHSM-SMLM32-MHSFFSBN 0.50/1.17 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 0.50/1.17 # Starting sh2 with 14s (1) cores 0.50/1.17 # Preprocessing time : 0.051 s 0.50/1.17 # Presaturation interreduction done 0.50/1.17 0.50/1.17 # Proof found! 0.50/1.17 # SZS status Theorem 0.50/1.17 # SZS output start CNFRefutation 0.50/1.17 thf(decl_22, type, bNF_re1036618870855903709nt_o_o: (($o > (int > $o) > $o) > ($o > (int > $o) > $o) > $o) > (((int > $o) > (int > int > $o) > $o) > ((int > $o) > (int > int > $o) > $o) > $o) > (($o > (int > $o) > $o) > (int > $o) > (int > int > $o) > $o) > (($o > (int > $o) > $o) > (int > $o) > (int > int > $o) > $o) > $o). 0.50/1.17 thf(decl_23, type, bNF_re1545540486803153225_int_o: (($o > (int > int) > $o) > ($o > (int > int) > $o) > $o) > (((int > $o) > (int > int > int) > $o) > ((int > $o) > (int > int > int) > $o) > $o) > (($o > (int > int) > $o) > (int > $o) > (int > int > int) > $o) > (($o > (int > int) > $o) > (int > $o) > (int > int > int) > $o) > $o). 0.50/1.17 thf(decl_24, type, bNF_re5004348199575322077nt_o_o: (($o > $o > $o) > ((int > $o) > (int > $o) > $o) > $o) > (((int > $o) > (int > $o) > $o) > ((int > int > $o) > (int > int > $o) > $o) > $o) > (($o > $o > $o) > (int > $o) > (int > $o) > $o) > (((int > $o) > (int > $o) > $o) > (int > int > $o) > (int > int > $o) > $o) > $o). 0.50/1.17 thf(decl_25, type, bNF_re2201043586220334811_int_o: (($o > $o > $o) > ((int > int) > (int > int) > $o) > $o) > (((int > $o) > (int > $o) > $o) > ((int > int > int) > (int > int > int) > $o) > $o) > (($o > $o > $o) > (int > $o) > (int > $o) > $o) > (((int > int) > (int > int) > $o) > (int > int > int) > (int > int > int) > $o) > $o). 0.50/1.17 thf(decl_26, type, bNF_re3012816421615927389nt_o_o: (($o > $o > $o) > ($o > $o > $o) > $o) > (((int > $o) > (int > $o) > $o) > ((int > $o) > (int > $o) > $o) > $o) > (($o > $o > $o) > (int > $o) > (int > $o) > $o) > (($o > $o > $o) > (int > $o) > (int > $o) > $o) > $o). 0.50/1.17 thf(decl_27, type, bNF_re4473429657033765895_int_o: (($o > $o > $o) > (int > int > $o) > $o) > (((int > $o) > (int > $o) > $o) > ((int > int) > (int > int) > $o) > $o) > (($o > $o > $o) > (int > $o) > (int > $o) > $o) > ((int > int > $o) > (int > int) > (int > int) > $o) > $o). 0.50/1.17 thf(decl_28, type, bNF_re9016137329058378357_int_o: (($o > int > $o) > ($o > int > $o) > $o) > (((int > $o) > (int > int) > $o) > ((int > $o) > (int > int) > $o) > $o) > (($o > int > $o) > (int > $o) > (int > int) > $o) > (($o > int > $o) > (int > $o) > (int > int) > $o) > $o). 0.50/1.17 thf(decl_29, type, bNF_re8800360848499043061nt_o_o: ((int > (int > $o) > $o) > (int > (int > $o) > $o) > $o) > (((int > int) > (int > int > $o) > $o) > ((int > int) > (int > int > $o) > $o) > $o) > ((int > (int > $o) > $o) > (int > int) > (int > int > $o) > $o) > ((int > (int > $o) > $o) > (int > int) > (int > int > $o) > $o) > $o). 0.50/1.17 thf(decl_30, type, bNF_re2353561026303204957_int_o: ((int > (int > int) > $o) > (int > (int > int) > $o) > $o) > (((int > int) > (int > int > int) > $o) > ((int > int) > (int > int > int) > $o) > $o) > ((int > (int > int) > $o) > (int > int) > (int > int > int) > $o) > ((int > (int > int) > $o) > (int > int) > (int > int > int) > $o) > $o). 0.50/1.17 thf(decl_31, type, bNF_re6130303124124341793nt_o_o: ((int > $o > $o) > (int > $o > $o) > $o) > (((int > int) > (int > $o) > $o) > ((int > int) > (int > $o) > $o) > $o) > ((int > $o > $o) > (int > int) > (int > $o) > $o) > ((int > $o > $o) > (int > int) > (int > $o) > $o) > $o). 0.50/1.17 thf(decl_32, type, bNF_re3139618654209367653_o_o_o: ((int > finite_mod_ring_a > $o) > (int > finite_mod_ring_a > $o) > $o) > ($o > $o > $o) > ((int > finite_mod_ring_a > $o) > $o) > ((int > finite_mod_ring_a > $o) > $o) > $o). 0.50/1.17 thf(decl_33, type, bNF_re7767857017410022323nt_o_o: ((int > int > $o) > ((int > $o) > (int > $o) > $o) > $o) > (((int > int) > (int > int) > $o) > ((int > int > $o) > (int > int > $o) > $o) > $o) > ((int > int > $o) > (int > int) > (int > int) > $o) > (((int > $o) > (int > $o) > $o) > (int > int > $o) > (int > int > $o) > $o) > $o). 0.50/1.17 thf(decl_34, type, bNF_re6840425655782752307nt_o_o: ((int > int > $o) > ($o > $o > $o) > $o) > (((int > int) > (int > int) > $o) > ((int > $o) > (int > $o) > $o) > $o) > ((int > int > $o) > (int > int) > (int > int) > $o) > (($o > $o > $o) > (int > $o) > (int > $o) > $o) > $o). 0.50/1.17 thf(decl_35, type, bNF_re158358453121663489ng_a_o: ((int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > $o) > (((int > int) > (int > int) > $o) > ((finite_mod_ring_a > finite_mod_ring_a) > (finite_mod_ring_a > finite_mod_ring_a) > $o) > $o) > ((int > int > $o) > (int > int) > (int > int) > $o) > ((finite_mod_ring_a > finite_mod_ring_a > $o) > (finite_mod_ring_a > finite_mod_ring_a) > (finite_mod_ring_a > finite_mod_ring_a) > $o) > $o). 0.50/1.17 thf(decl_36, type, bNF_re8766491961667402675ng_a_o: ((int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > $o) > (((int > int) > (int > int) > $o) > ((int > finite_mod_ring_a) > (int > finite_mod_ring_a) > $o) > $o) > ((int > int > $o) > (int > int) > (int > int) > $o) > ((finite_mod_ring_a > finite_mod_ring_a > $o) > (int > finite_mod_ring_a) > (int > finite_mod_ring_a) > $o) > $o). 0.50/1.17 thf(decl_37, type, bNF_re9211934394831733246ng_a_o: ((int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > ((int > int > $o) > int > $o) > ((finite_mod_ring_a > finite_mod_ring_a > $o) > finite_mod_ring_a > $o) > $o). 0.50/1.17 thf(decl_38, type, bNF_re3287324404599397085_o_o_o: ((int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > $o) > ($o > $o > $o) > ((int > int > $o) > $o) > ((finite_mod_ring_a > finite_mod_ring_a > $o) > $o) > $o). 0.50/1.17 thf(decl_39, type, bNF_re5891132441370877716_o_o_o: ((int > int > $o) > (finite_mod_ring_a > int > $o) > $o) > ($o > $o > $o) > ((int > int > $o) > $o) > ((finite_mod_ring_a > int > $o) > $o) > $o). 0.50/1.17 thf(decl_40, type, bNF_re7930886852997362739_int_o: ((int > int > $o) > (int > int > $o) > $o) > (((int > int) > (int > int) > $o) > ((finite_mod_ring_a > int) > (finite_mod_ring_a > int) > $o) > $o) > ((int > int > $o) > (int > int) > (int > int) > $o) > ((int > int > $o) > (finite_mod_ring_a > int) > (finite_mod_ring_a > int) > $o) > $o). 0.50/1.17 thf(decl_41, type, bNF_re4490276714116616413_int_o: ((int > int > $o) > (int > int > $o) > $o) > (((int > int) > (int > int) > $o) > ((int > int) > (int > int) > $o) > $o) > ((int > int > $o) > (int > int) > (int > int) > $o) > ((int > int > $o) > (int > int) > (int > int) > $o) > $o). 0.50/1.17 thf(decl_42, type, bNF_re2642688597062869533_int_o: ((int > int > $o) > (int > int > $o) > $o) > ((int > $o) > (int > $o) > $o) > ((int > int > $o) > int > $o) > ((int > int > $o) > int > $o) > $o). 0.50/1.17 thf(decl_43, type, bNF_re5869992600382051037_o_o_o: ((int > int > $o) > (int > int > $o) > $o) > ($o > $o > $o) > ((int > int > $o) > $o) > ((int > int > $o) > $o) > $o). 0.50/1.17 thf(decl_44, type, bNF_re3333031753742804947nt_int: ((int > int > int) > (int > int > int) > $o) > ((int > int) > (int > int) > $o) > ((int > int > int) > int > int) > ((int > int > int) > int > int) > $o). 0.50/1.17 thf(decl_45, type, bNF_re6987580103263796323nt_o_o: ((int > int > int) > (int > int > int) > $o) > ($o > $o > $o) > ((int > int > int) > $o) > ((int > int > int) > $o) > $o). 0.50/1.17 thf(decl_46, type, bNF_re8869226137141724030_o_o_o: ((int > $o) > (finite_mod_ring_a > $o) > $o) > ($o > $o > $o) > ((int > $o) > $o) > ((finite_mod_ring_a > $o) > $o) > $o). 0.50/1.17 thf(decl_47, type, bNF_re8533432611703018387nt_o_o: ((int > $o) > (int > int > $o) > $o) > (((int > $o) > $o) > ((int > int > $o) > $o) > $o) > ((int > $o) > (int > $o) > $o) > ((int > int > $o) > (int > int > $o) > $o) > $o). 0.50/1.17 thf(decl_48, type, bNF_re4036033334408240936_o_o_o: ((int > $o) > (int > int > $o) > $o) > ($o > $o > $o) > ((int > $o) > $o) > ((int > int > $o) > $o) > $o). 0.50/1.17 thf(decl_49, type, bNF_re8787779679409017897_int_o: ((int > $o) > (int > int > int) > $o) > (((int > $o) > $o) > ((int > int > int) > $o) > $o) > ((int > $o) > (int > $o) > $o) > ((int > int > int) > (int > int > int) > $o) > $o). 0.50/1.17 thf(decl_50, type, bNF_re4883799199556489544nt_o_o: ((int > $o) > (int > int > int) > $o) > ($o > $o > $o) > ((int > $o) > $o) > ((int > int > int) > $o) > $o). 0.50/1.17 thf(decl_51, type, bNF_re2450585184377893309nt_o_o: ((int > $o) > (int > $o) > $o) > (((int > int > $o) > $o) > ((int > int > $o) > $o) > $o) > ((int > $o) > (int > int > $o) > $o) > ((int > $o) > (int > int > $o) > $o) > $o). 0.50/1.17 thf(decl_52, type, bNF_re5800594572336406621_int_o: ((int > $o) > (int > $o) > $o) > (((int > int > int) > $o) > ((int > int > int) > $o) > $o) > ((int > $o) > (int > int > int) > $o) > ((int > $o) > (int > int > int) > $o) > $o). 0.50/1.17 thf(decl_53, type, bNF_re513079643185015507nt_o_o: ((int > $o) > (int > $o) > $o) > (((int > $o) > $o) > ((int > $o) > $o) > $o) > ((int > $o) > (int > $o) > $o) > ((int > $o) > (int > $o) > $o) > $o). 0.50/1.17 thf(decl_54, type, bNF_re6571774352052816285_int_o: ((int > $o) > (int > $o) > $o) > (((int > int) > $o) > ((int > int) > $o) > $o) > ((int > $o) > (int > int) > $o) > ((int > $o) > (int > int) > $o) > $o). 0.50/1.17 thf(decl_55, type, bNF_re6378653760509651613_o_o_o: ((int > $o) > (int > $o) > $o) > ($o > $o > $o) > ((int > $o) > $o) > ((int > $o) > $o) > $o). 0.50/1.17 thf(decl_56, type, bNF_re4810274416841960511_int_o: ((int > $o) > (int > int) > $o) > (((int > $o) > $o) > ((int > int) > $o) > $o) > ((int > $o) > (int > $o) > $o) > ((int > int) > (int > int) > $o) > $o). 0.50/1.17 thf(decl_57, type, bNF_re5653686079057778813nt_o_o: ((int > $o) > (int > int) > $o) > ($o > $o > $o) > ((int > $o) > $o) > ((int > int) > $o) > $o). 0.50/1.17 thf(decl_58, type, bNF_re1882540100074166605ng_a_o: ((int > int) > (finite_mod_ring_a > finite_mod_ring_a) > $o) > (((int > int) > $o) > ((finite_mod_ring_a > finite_mod_ring_a) > $o) > $o) > ((int > int) > (int > int) > $o) > ((finite_mod_ring_a > finite_mod_ring_a) > (finite_mod_ring_a > finite_mod_ring_a) > $o) > $o). 0.50/1.17 thf(decl_59, type, bNF_re8232325057086030459_a_o_o: ((int > int) > (finite_mod_ring_a > finite_mod_ring_a) > $o) > ($o > $o > $o) > ((int > int) > $o) > ((finite_mod_ring_a > finite_mod_ring_a) > $o) > $o). 0.50/1.17 thf(decl_60, type, bNF_re7705526925582604071_int_o: ((int > int) > (finite_mod_ring_a > int) > $o) > (((int > int) > $o) > ((finite_mod_ring_a > int) > $o) > $o) > ((int > int) > (int > int) > $o) > ((finite_mod_ring_a > int) > (finite_mod_ring_a > int) > $o) > $o). 0.50/1.17 thf(decl_61, type, bNF_re8039882297063496332nt_o_o: ((int > int) > (finite_mod_ring_a > int) > $o) > ($o > $o > $o) > ((int > int) > $o) > ((finite_mod_ring_a > int) > $o) > $o). 0.50/1.17 thf(decl_62, type, bNF_re7621770836619098767nt_o_o: ((int > int) > (int > int > $o) > $o) > (((int > int) > $o) > ((int > int > $o) > $o) > $o) > ((int > int) > (int > int) > $o) > ((int > int > $o) > (int > int > $o) > $o) > $o). 0.50/1.17 thf(decl_63, type, bNF_re3309934084013719512_o_o_o: ((int > int) > (int > int > $o) > $o) > ($o > $o > $o) > ((int > int) > $o) > ((int > int > $o) > $o) > $o). 0.50/1.17 thf(decl_64, type, bNF_re6856201910719030053nt_o_o: ((int > int) > (int > $o) > $o) > (((int > int) > $o) > ((int > $o) > $o) > $o) > ((int > int) > (int > int) > $o) > ((int > $o) > (int > $o) > $o) > $o). 0.50/1.17 thf(decl_65, type, bNF_re2570638569070957389_o_o_o: ((int > int) > (int > $o) > $o) > ($o > $o > $o) > ((int > int) > $o) > ((int > $o) > $o) > $o). 0.50/1.17 thf(decl_66, type, bNF_re9215243712517073995ng_a_o: ((int > int) > (int > finite_mod_ring_a) > $o) > (((int > int) > $o) > ((int > finite_mod_ring_a) > $o) > $o) > ((int > int) > (int > int) > $o) > ((int > finite_mod_ring_a) > (int > finite_mod_ring_a) > $o) > $o). 0.50/1.17 thf(decl_67, type, bNF_re160273803583953018_a_o_o: ((int > int) > (int > finite_mod_ring_a) > $o) > ($o > $o > $o) > ((int > int) > $o) > ((int > finite_mod_ring_a) > $o) > $o). 0.50/1.17 thf(decl_68, type, bNF_re6209716736443902701nt_o_o: ((int > int) > (int > int) > $o) > (((int > int > $o) > $o) > ((int > int > $o) > $o) > $o) > ((int > int) > (int > int > $o) > $o) > ((int > int) > (int > int > $o) > $o) > $o). 0.50/1.17 thf(decl_69, type, bNF_re7951138224055828877_int_o: ((int > int) > (int > int) > $o) > (((int > int > int) > $o) > ((int > int > int) > $o) > $o) > ((int > int) > (int > int > int) > $o) > ((int > int) > (int > int > int) > $o) > $o). 0.50/1.17 thf(decl_70, type, bNF_re6961808529855443971nt_o_o: ((int > int) > (int > int) > $o) > (((int > $o) > $o) > ((int > $o) > $o) > $o) > ((int > int) > (int > $o) > $o) > ((int > int) > (int > $o) > $o) > $o). 0.50/1.17 thf(decl_71, type, bNF_re619888514246228685_int_o: ((int > int) > (int > int) > $o) > (((int > int) > $o) > ((int > int) > $o) > $o) > ((int > int) > (int > int) > $o) > ((int > int) > (int > int) > $o) > $o). 0.50/1.17 thf(decl_72, type, bNF_re1277823837431233485nt_o_o: ((int > int) > (int > int) > $o) > ($o > $o > $o) > ((int > int) > $o) > ((int > int) > $o) > $o). 0.50/1.17 thf(decl_73, type, bNF_re8159601828672395943nt_int: ((int > int) > (int > int) > $o) > (int > int > $o) > ((int > int) > int) > ((int > int) > int) > $o). 0.50/1.17 thf(decl_74, type, bNF_re3402758370034524521nt_o_o: ($o > (int > $o) > $o) > (($o > $o) > ((int > $o) > $o) > $o) > ($o > $o > $o) > ((int > $o) > (int > $o) > $o) > $o). 0.50/1.17 thf(decl_75, type, bNF_re4341069430305048808_o_o_o: ($o > (int > $o) > $o) > ($o > $o > $o) > ($o > $o) > ((int > $o) > $o) > $o). 0.50/1.17 thf(decl_76, type, bNF_re2402624812158755199_int_o: ($o > (int > int) > $o) > (($o > $o) > ((int > int) > $o) > $o) > ($o > $o > $o) > ((int > int) > (int > int) > $o) > $o). 0.50/1.17 thf(decl_77, type, bNF_re6937033382381298418nt_o_o: ($o > (int > int) > $o) > ($o > $o > $o) > ($o > $o) > ((int > int) > $o) > $o). 0.50/1.17 thf(decl_78, type, bNF_re7536270094194154387nt_o_o: ($o > $o > $o) > (((int > $o) > $o) > ((int > $o) > $o) > $o) > ($o > (int > $o) > $o) > ($o > (int > $o) > $o) > $o). 0.50/1.17 thf(decl_79, type, bNF_re1939458191716964957_int_o: ($o > $o > $o) > (((int > int) > $o) > ((int > int) > $o) > $o) > ($o > (int > int) > $o) > ($o > (int > int) > $o) > $o). 0.50/1.17 thf(decl_80, type, bNF_re6472675536664000681_o_o_o: ($o > $o > $o) > (($o > $o) > ($o > $o) > $o) > ($o > $o > $o) > ($o > $o > $o) > $o). 0.50/1.17 thf(decl_81, type, bNF_re3817415506245077661_int_o: ($o > $o > $o) > ((int > $o) > (int > $o) > $o) > ($o > int > $o) > ($o > int > $o) > $o). 0.50/1.17 thf(decl_82, type, bNF_rel_fun_o_o_o_o: ($o > $o > $o) > ($o > $o > $o) > ($o > $o) > ($o > $o) > $o). 0.50/1.17 thf(decl_83, type, bNF_re5432788727719671445_int_o: ($o > int > $o) > (($o > $o) > (int > $o) > $o) > ($o > $o > $o) > (int > int > $o) > $o). 0.50/1.17 thf(decl_84, type, bNF_re5301841019279710247nt_o_o: ($o > int > $o) > ($o > $o > $o) > ($o > $o) > (int > $o) > $o). 0.50/1.17 thf(decl_85, type, bNF_re5912972185147205917_a_o_o: (finite_mod_ring_a > finite_mod_ring_a > $o) > ($o > $o > $o) > (finite_mod_ring_a > $o) > (finite_mod_ring_a > $o) > $o). 0.50/1.17 thf(decl_86, type, bNF_re5192651931634718949nt_o_o: (int > (int > $o) > $o) > ((int > $o) > ((int > $o) > $o) > $o) > (int > int > $o) > ((int > $o) > (int > $o) > $o) > $o). 0.50/1.17 thf(decl_87, type, bNF_re1669803609431064024_o_o_o: (int > (int > $o) > $o) > ($o > $o > $o) > (int > $o) > ((int > $o) > $o) > $o). 0.50/1.17 thf(decl_88, type, bNF_re8893569941355005307_o_o_o: (int > $o > $o) > ((int > $o) > ($o > $o) > $o) > (int > int > $o) > ($o > $o > $o) > $o). 0.50/1.17 thf(decl_89, type, bNF_re4469125395230562381_o_o_o: (int > $o > $o) > ($o > $o > $o) > (int > $o) > ($o > $o) > $o). 0.50/1.17 thf(decl_90, type, bNF_re8407139770911122241ng_a_o: (int > finite_mod_ring_a > $o) > (((int > int > $o) > int > $o) > ((finite_mod_ring_a > finite_mod_ring_a > $o) > finite_mod_ring_a > $o) > $o) > (int > (int > int > $o) > int > $o) > (finite_mod_ring_a > (finite_mod_ring_a > finite_mod_ring_a > $o) > finite_mod_ring_a > $o) > $o). 0.50/1.17 thf(decl_91, type, bNF_re1743884151495963297ng_a_o: (int > finite_mod_ring_a > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > (int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > $o). 0.50/1.17 thf(decl_92, type, bNF_re3873409527727426490_int_o: (int > finite_mod_ring_a > $o) > ((int > $o) > (int > $o) > $o) > (int > int > $o) > (finite_mod_ring_a > int > $o) > $o). 0.50/1.17 thf(decl_93, type, bNF_re8290846538823883642_a_o_o: (int > finite_mod_ring_a > $o) > ($o > $o > $o) > (int > $o) > (finite_mod_ring_a > $o) > $o). 0.50/1.17 thf(decl_94, type, bNF_re4694112744541868061ring_a: (int > finite_mod_ring_a > $o) > (int > finite_mod_ring_a > $o) > (int > int) > (finite_mod_ring_a > finite_mod_ring_a) > $o). 0.50/1.17 thf(decl_95, type, bNF_re8614909862389055444nt_int: (int > finite_mod_ring_a > $o) > (int > int > $o) > (int > int) > (finite_mod_ring_a > int) > $o). 0.50/1.17 thf(decl_96, type, bNF_re1806261209056574701_int_o: (int > int > $o) > (((int > int > $o) > int > $o) > ((int > int > $o) > int > $o) > $o) > (int > (int > int > $o) > int > $o) > (int > (int > int > $o) > int > $o) > $o). 0.50/1.17 thf(decl_97, type, bNF_re776728095411994473nt_int: (int > int > $o) > (((int > int > int) > int > int) > ((int > int > int) > int > int) > $o) > (int > (int > int > int) > int > int) > (int > (int > int > int) > int > int) > $o). 0.50/1.17 thf(decl_98, type, bNF_re1280668699144990829nt_o_o: (int > int > $o) > (((int > $o) > $o) > ((int > $o) > $o) > $o) > (int > (int > $o) > $o) > (int > (int > $o) > $o) > $o). 0.50/1.17 thf(decl_99, type, bNF_re8247752873746479671_int_o: (int > int > $o) > (((int > int) > $o) > ((int > int) > $o) > $o) > (int > (int > int) > $o) > (int > (int > int) > $o) > $o). 0.50/1.17 thf(decl_100, type, bNF_re8360549327529751101nt_int: (int > int > $o) > (((int > int) > int) > ((int > int) > int) > $o) > (int > (int > int) > int) > (int > (int > int) > int) > $o). 0.50/1.17 thf(decl_101, type, bNF_re2126651504659934083_o_o_o: (int > int > $o) > (($o > $o) > ($o > $o) > $o) > (int > $o > $o) > (int > $o > $o) > $o). 0.50/1.17 thf(decl_102, type, bNF_re6948380915580796713ng_a_o: (int > int > $o) > ((finite_mod_ring_a > $o) > (finite_mod_ring_a > $o) > $o) > (int > finite_mod_ring_a > $o) > (int > finite_mod_ring_a > $o) > $o). 0.50/1.17 thf(decl_103, type, bNF_re3403563459893282935_int_o: (int > int > $o) > ((int > $o) > (int > $o) > $o) > (int > int > $o) > (int > int > $o) > $o). 0.50/1.17 thf(decl_104, type, bNF_re711492959462206631nt_int: (int > int > $o) > ((int > int) > (int > int) > $o) > (int > int > int) > (int > int > int) > $o). 0.50/1.17 thf(decl_105, type, bNF_re515186545150889026_int_o: (int > int > $o) > ($o > (int > $o) > $o) > (int > $o) > (int > int > $o) > $o). 0.50/1.17 thf(decl_106, type, bNF_re3519117133503673496nt_int: (int > int > $o) > ($o > (int > int) > $o) > (int > $o) > (int > int > int) > $o). 0.50/1.17 thf(decl_107, type, bNF_re5089333283451836215nt_o_o: (int > int > $o) > ($o > $o > $o) > (int > $o) > (int > $o) > $o). 0.50/1.17 thf(decl_108, type, bNF_re2495491232194430029_o_int: (int > int > $o) > ($o > int > $o) > (int > $o) > (int > int) > $o). 0.50/1.17 thf(decl_109, type, bNF_re5454296162295609079ring_a: (int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > (int > finite_mod_ring_a) > (int > finite_mod_ring_a) > $o). 0.50/1.17 thf(decl_110, type, bNF_re5136953859467531390_int_o: (int > int > $o) > (int > (int > $o) > $o) > (int > int) > (int > int > $o) > $o). 0.50/1.17 thf(decl_111, type, bNF_re3779610718378977651_int_o: (int > int > $o) > (int > $o > $o) > (int > int) > (int > $o) > $o). 0.50/1.17 thf(decl_112, type, bNF_re4111817185884680480ring_a: (int > int > $o) > (int > finite_mod_ring_a > $o) > (int > int) > (int > finite_mod_ring_a) > $o). 0.50/1.17 thf(decl_113, type, bNF_re4712519889275205905nt_int: (int > int > $o) > (int > int > $o) > (int > int) > (int > int) > $o). 0.50/1.17 thf(decl_114, type, bNF_re8187416184292455657ng_a_o: (mat_int > mat_Fi443519135453058082ring_a > $o) > ((mat_int > $o) > (mat_Fi443519135453058082ring_a > $o) > $o) > (mat_int > mat_int > $o) > (mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a > $o) > $o). 0.50/1.17 thf(decl_115, type, bNF_re2521023299276117469ring_a: (mat_int > mat_Fi443519135453058082ring_a > $o) > ((nat > nat > int) > (nat > nat > finite_mod_ring_a) > $o) > (mat_int > nat > nat > int) > (mat_Fi443519135453058082ring_a > nat > nat > finite_mod_ring_a) > $o). 0.50/1.17 thf(decl_116, type, bNF_re1243694822744574826_nat_o: (mat_int > mat_Fi443519135453058082ring_a > $o) > ((nat > $o) > (nat > $o) > $o) > (mat_int > nat > $o) > (mat_Fi443519135453058082ring_a > nat > $o) > $o). 0.50/1.17 thf(decl_117, type, bNF_re6153771816476299306_a_o_o: (mat_int > mat_Fi443519135453058082ring_a > $o) > ($o > $o > $o) > (mat_int > $o) > (mat_Fi443519135453058082ring_a > $o) > $o). 0.50/1.17 thf(decl_118, type, bNF_re4847214273728626636at_nat: (mat_int > mat_Fi443519135453058082ring_a > $o) > (nat > nat > $o) > (mat_int > nat) > (mat_Fi443519135453058082ring_a > nat) > $o). 0.50/1.17 thf(decl_119, type, bNF_re151890839321169105ng_a_o: (vec_int > vec_Fi4296597256376197294ring_a > $o) > ((vec_int > $o) > (vec_Fi4296597256376197294ring_a > $o) > $o) > (vec_int > vec_int > $o) > (vec_Fi4296597256376197294ring_a > vec_Fi4296597256376197294ring_a > $o) > $o). 0.50/1.17 thf(decl_120, type, bNF_re7850819276413326442_nat_o: (vec_int > vec_Fi4296597256376197294ring_a > $o) > ((nat > $o) > (nat > $o) > $o) > (vec_int > nat > $o) > (vec_Fi4296597256376197294ring_a > nat > $o) > $o). 0.50/1.17 thf(decl_121, type, bNF_re1259227427626606373ring_a: (vec_int > vec_Fi4296597256376197294ring_a > $o) > ((nat > int) > (nat > finite_mod_ring_a) > $o) > (vec_int > nat > int) > (vec_Fi4296597256376197294ring_a > nat > finite_mod_ring_a) > $o). 0.50/1.17 thf(decl_122, type, bNF_re507051067509135658_a_o_o: (vec_int > vec_Fi4296597256376197294ring_a > $o) > ($o > $o > $o) > (vec_int > $o) > (vec_Fi4296597256376197294ring_a > $o) > $o). 0.50/1.17 thf(decl_123, type, bNF_re5216812267390093516at_nat: (vec_int > vec_Fi4296597256376197294ring_a > $o) > (nat > nat > $o) > (vec_int > nat) > (vec_Fi4296597256376197294ring_a > nat) > $o). 0.50/1.17 thf(decl_124, type, bNF_re578469030762574527_nat_o: (nat > nat > $o) > ((nat > $o) > (nat > $o) > $o) > (nat > nat > $o) > (nat > nat > $o) > $o). 0.50/1.17 thf(decl_125, type, bNF_re8329676932548810640ring_a: (nat > nat > $o) > ((nat > int) > (nat > finite_mod_ring_a) > $o) > (nat > nat > int) > (nat > nat > finite_mod_ring_a) > $o). 0.50/1.17 thf(decl_126, type, bNF_re1345281282404953727at_nat: (nat > nat > $o) > ((nat > nat) > (nat > nat) > $o) > (nat > nat > nat) > (nat > nat > nat) > $o). 0.50/1.17 thf(decl_127, type, bNF_re4705727531993890431at_o_o: (nat > nat > $o) > ($o > $o > $o) > (nat > $o) > (nat > $o) > $o). 0.50/1.17 thf(decl_128, type, bNF_re2201348192133994456ring_a: (nat > nat > $o) > (int > finite_mod_ring_a > $o) > (nat > int) > (nat > finite_mod_ring_a) > $o). 0.50/1.17 thf(decl_129, type, bNF_re6650684261131312217nt_int: (nat > nat > $o) > (int > int > $o) > (nat > int) > (nat > int) > $o). 0.50/1.17 thf(decl_130, type, bNF_re5653821019739307937at_nat: (nat > nat > $o) > (nat > nat > $o) > (nat > nat) > (nat > nat) > $o). 0.50/1.17 thf(decl_131, type, finite1095367895020317408ring_a: finite_mod_ring_a > int). 0.50/1.17 thf(decl_132, type, semiri1808893178764602431ring_a: itself4235916107012738301ring_a > nat). 0.50/1.17 thf(decl_133, type, semiri2466009265307143474ar_int: itself_int > nat). 0.50/1.17 thf(decl_134, type, semiri2468499735816193750ar_nat: itself_nat > nat). 0.50/1.17 thf(decl_135, type, minus_3609261664126569004ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 0.50/1.17 thf(decl_136, type, minus_minus_int: int > int > int). 0.50/1.17 thf(decl_137, type, minus_minus_nat: nat > nat > nat). 0.50/1.17 thf(decl_138, type, one_on2109788427901206336ring_a: finite_mod_ring_a). 0.50/1.17 thf(decl_139, type, one_one_int: int). 0.50/1.17 thf(decl_140, type, one_one_nat: nat). 0.50/1.17 thf(decl_141, type, plus_plus_nat: nat > nat > nat). 0.50/1.17 thf(decl_142, type, times_5121417576591743744ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 0.50/1.17 thf(decl_143, type, times_times_int: int > int > int). 0.50/1.17 thf(decl_144, type, times_672259365015401767ring_a: mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a). 0.50/1.17 thf(decl_145, type, times_times_mat_int: mat_int > mat_int > mat_int). 0.50/1.17 thf(decl_146, type, times_times_mat_nat: mat_nat > mat_nat > mat_nat). 0.50/1.17 thf(decl_147, type, times_times_nat: nat > nat > nat). 0.50/1.17 thf(decl_148, type, zero_z7902377541816115708ring_a: finite_mod_ring_a). 0.50/1.17 thf(decl_149, type, zero_zero_int: int). 0.50/1.17 thf(decl_150, type, zero_z3170743180189231877et_int: multiset_int). 0.50/1.17 thf(decl_151, type, zero_zero_nat: nat). 0.50/1.17 thf(decl_152, type, groups7393019125535064413ring_a: (int > finite_mod_ring_a) > set_int > finite_mod_ring_a). 0.50/1.17 thf(decl_153, type, groups4538972089207619220nt_int: (int > int) > set_int > int). 0.50/1.17 thf(decl_154, type, groups4541462559716669496nt_nat: (int > nat) > set_int > nat). 0.50/1.17 thf(decl_155, type, groups3558780024651037881ring_a: (nat > finite_mod_ring_a) > set_nat > finite_mod_ring_a). 0.50/1.17 thf(decl_156, type, groups3539618377306564664at_int: (nat > int) > set_nat > int). 0.50/1.17 thf(decl_157, type, groups5636876905933611656et_int: (nat > multiset_int) > set_nat > multiset_int). 0.50/1.17 thf(decl_158, type, groups3542108847815614940at_nat: (nat > nat) > set_nat > nat). 0.50/1.17 thf(decl_159, type, if_Finite_mod_ring_a: $o > finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 0.50/1.17 thf(decl_160, type, if_int: $o > int > int > int). 0.50/1.17 thf(decl_161, type, if_nat: $o > nat > nat > nat). 0.50/1.17 thf(decl_162, type, ring_18169885480643366966ring_a: int > finite_mod_ring_a). 0.50/1.17 thf(decl_163, type, ring_1_of_int_int: int > int). 0.50/1.17 thf(decl_164, type, macaul4270410756189249562ring_a: vec_Fi4296597256376197294ring_a > mat_Fi443519135453058082ring_a > vec_Fi4296597256376197294ring_a). 0.50/1.17 thf(decl_165, type, macaul1993098418559423895at_int: vec_int > mat_int > vec_int). 0.50/1.17 thf(decl_166, type, col_Fi4539442672557225809ring_a: mat_Fi443519135453058082ring_a > nat > vec_Fi4296597256376197294ring_a). 0.50/1.17 thf(decl_167, type, col_int: mat_int > nat > vec_int). 0.50/1.17 thf(decl_168, type, col_nat: mat_nat > nat > vec_nat). 0.50/1.17 thf(decl_169, type, compon4665380614929198340ring_a: vec_Fi4296597256376197294ring_a > vec_Fi4296597256376197294ring_a > vec_Fi4296597256376197294ring_a). 0.50/1.17 thf(decl_170, type, component_mult_int: vec_int > vec_int > vec_int). 0.50/1.17 thf(decl_171, type, component_mult_nat: vec_nat > vec_nat > vec_nat). 0.50/1.17 thf(decl_172, type, diag_m3939773092417397052ring_a: mat_Fi443519135453058082ring_a > list_F4626807571770296779ring_a). 0.50/1.17 thf(decl_173, type, diag_mat_int: mat_int > list_int). 0.50/1.17 thf(decl_174, type, diagon5216064312668532934ring_a: mat_Fi443519135453058082ring_a > $o). 0.50/1.17 thf(decl_175, type, diagonal_mat_int: mat_int > $o). 0.50/1.17 thf(decl_176, type, diagonal_mat_nat: mat_nat > $o). 0.50/1.17 thf(decl_177, type, dim_co4406457559947111647ring_a: mat_Fi443519135453058082ring_a > nat). 0.50/1.17 thf(decl_178, type, dim_col_int: mat_int > nat). 0.50/1.17 thf(decl_179, type, dim_col_nat: mat_nat > nat). 0.50/1.17 thf(decl_180, type, dim_col_set_int: mat_set_int > nat). 0.50/1.17 thf(decl_181, type, dim_ro5001971067571046597ring_a: mat_Fi443519135453058082ring_a > nat). 0.50/1.17 thf(decl_182, type, dim_row_int: mat_int > nat). 0.50/1.17 thf(decl_183, type, dim_row_nat: mat_nat > nat). 0.50/1.17 thf(decl_184, type, dim_row_set_int: mat_set_int > nat). 0.50/1.17 thf(decl_185, type, dim_ve9152325144110082507ring_a: vec_Fi4296597256376197294ring_a > nat). 0.50/1.17 thf(decl_186, type, dim_vec_int: vec_int > nat). 0.50/1.17 thf(decl_187, type, dim_vec_nat: vec_nat > nat). 0.50/1.17 thf(decl_188, type, dim_vec_set_int: vec_set_int > nat). 0.50/1.17 thf(decl_189, type, elemen4395573691419627848ring_a: mat_Fi443519135453058082ring_a > set_Fi2982333969990053029ring_a). 0.50/1.17 thf(decl_190, type, elements_mat_int: mat_int > set_int). 0.50/1.17 thf(decl_191, type, elements_mat_nat: mat_nat > set_nat). 0.50/1.17 thf(decl_192, type, index_1432619563289476937ring_a: mat_Fi443519135453058082ring_a > product_prod_nat_nat > finite_mod_ring_a). 0.50/1.17 thf(decl_193, type, index_mat_int: mat_int > product_prod_nat_nat > int). 0.50/1.17 thf(decl_194, type, index_mat_nat: mat_nat > product_prod_nat_nat > nat). 0.50/1.17 thf(decl_195, type, index_mat_set_int: mat_set_int > product_prod_nat_nat > set_int). 0.50/1.17 thf(decl_196, type, invert6544676777252008276ring_a: mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a > $o). 0.50/1.17 thf(decl_197, type, inverts_mat_int: mat_int > mat_int > $o). 0.50/1.17 thf(decl_198, type, map_ma65782747104071505ring_a: (finite_mod_ring_a > finite_mod_ring_a) > mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a). 0.50/1.17 thf(decl_199, type, map_ma7999993494926133152_a_int: (finite_mod_ring_a > int) > mat_Fi443519135453058082ring_a > mat_int). 0.50/1.17 thf(decl_200, type, map_ma352813450859277382ring_a: (int > finite_mod_ring_a) > mat_int > mat_Fi443519135453058082ring_a). 0.50/1.17 thf(decl_201, type, map_mat_int_int: (int > int) > mat_int > mat_int). 0.50/1.17 thf(decl_202, type, map_mat_nat_int: (nat > int) > mat_nat > mat_int). 0.50/1.17 thf(decl_203, type, map_mat_nat_nat: (nat > nat) > mat_nat > mat_nat). 0.50/1.17 thf(decl_204, type, map_ve1378714242357356997ring_a: (finite_mod_ring_a > finite_mod_ring_a) > vec_Fi4296597256376197294ring_a > vec_Fi4296597256376197294ring_a). 0.50/1.17 thf(decl_205, type, map_ve50164598268879916_a_int: (finite_mod_ring_a > int) > vec_Fi4296597256376197294ring_a > vec_int). 0.50/1.17 thf(decl_206, type, map_ve1626356591056799954ring_a: (int > finite_mod_ring_a) > vec_int > vec_Fi4296597256376197294ring_a). 0.50/1.17 thf(decl_207, type, map_vec_int_int: (int > int) > vec_int > vec_int). 0.50/1.17 thf(decl_208, type, map_vec_nat_int: (nat > int) > vec_nat > vec_int). 0.50/1.17 thf(decl_209, type, mat_di8444814352206465382ring_a: nat > (nat > finite_mod_ring_a) > mat_Fi443519135453058082ring_a). 0.50/1.17 thf(decl_210, type, mat_diag_int: nat > (nat > int) > mat_int). 0.50/1.17 thf(decl_211, type, mat_diag_nat: nat > (nat > nat) > mat_nat). 0.50/1.17 thf(decl_212, type, mat_of7801135667253266260ring_a: vec_Fi4296597256376197294ring_a > mat_Fi443519135453058082ring_a). 0.50/1.17 thf(decl_213, type, mat_of_row_int: vec_int > mat_int). 0.50/1.17 thf(decl_214, type, mat_of4344840882722126677ring_a: nat > nat > (nat > vec_Fi4296597256376197294ring_a) > mat_Fi443519135453058082ring_a). 0.50/1.17 thf(decl_215, type, mat_of_row_fun_int: nat > nat > (nat > vec_int) > mat_int). 0.50/1.17 thf(decl_216, type, one_ma6550053766585803261ring_a: nat > mat_Fi443519135453058082ring_a). 0.50/1.17 thf(decl_217, type, one_mat_int: nat > mat_int). 0.50/1.17 thf(decl_218, type, one_mat_nat: nat > mat_nat). 0.50/1.17 thf(decl_219, type, orthog5068323222864071914ring_a: mat_Fi443519135453058082ring_a > $o). 0.50/1.17 thf(decl_220, type, orthogonal_mat_int: mat_int > $o). 0.50/1.17 thf(decl_221, type, orthogonal_mat_nat: mat_nat > $o). 0.50/1.17 thf(decl_222, type, row_Fi5134956180181160759ring_a: mat_Fi443519135453058082ring_a > nat > vec_Fi4296597256376197294ring_a). 0.50/1.17 thf(decl_223, type, row_int: mat_int > nat > vec_int). 0.50/1.17 thf(decl_224, type, scalar6244045175725346196ring_a: vec_Fi4296597256376197294ring_a > vec_Fi4296597256376197294ring_a > finite_mod_ring_a). 0.50/1.17 thf(decl_225, type, scalar_prod_int: vec_int > vec_int > int). 0.50/1.17 thf(decl_226, type, scalar_prod_nat: vec_nat > vec_nat > nat). 0.50/1.17 thf(decl_227, type, smult_8947346967428950362ring_a: finite_mod_ring_a > mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a). 0.50/1.17 thf(decl_228, type, smult_mat_int: int > mat_int > mat_int). 0.50/1.17 thf(decl_229, type, smult_mat_nat: nat > mat_nat > mat_nat). 0.50/1.17 thf(decl_230, type, transp6592170578213536176ring_a: mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a). 0.50/1.17 thf(decl_231, type, transpose_mat_int: mat_int > mat_int). 0.50/1.17 thf(decl_232, type, transpose_mat_nat: mat_nat > mat_nat). 0.50/1.17 thf(decl_233, type, unit_v6648808783362777473ring_a: nat > nat > vec_Fi4296597256376197294ring_a). 0.50/1.17 thf(decl_234, type, unit_vec_int: nat > nat > vec_int). 0.50/1.17 thf(decl_235, type, unit_vec_nat: nat > nat > vec_nat). 0.50/1.17 thf(decl_236, type, update3442037350488784538ring_a: mat_Fi443519135453058082ring_a > product_prod_nat_nat > finite_mod_ring_a > mat_Fi443519135453058082ring_a). 0.50/1.17 thf(decl_237, type, update_mat_int: mat_int > product_prod_nat_nat > int > mat_int). 0.50/1.17 thf(decl_238, type, update7295115471411923750ring_a: vec_Fi4296597256376197294ring_a > nat > finite_mod_ring_a > vec_Fi4296597256376197294ring_a). 0.50/1.17 thf(decl_239, type, update_vec_int: vec_int > nat > int > vec_int). 0.50/1.17 thf(decl_240, type, upper_140540304977487736ring_a: mat_Fi443519135453058082ring_a > $o). 0.50/1.17 thf(decl_241, type, upper_triangular_int: mat_int > $o). 0.50/1.17 thf(decl_242, type, upper_triangular_nat: mat_nat > $o). 0.50/1.17 thf(decl_243, type, vec_in8573817152773094745ring_a: vec_Fi4296597256376197294ring_a > nat > finite_mod_ring_a). 0.50/1.17 thf(decl_244, type, vec_index_int: vec_int > nat > int). 0.50/1.17 thf(decl_245, type, vec_index_nat: vec_nat > nat > nat). 0.50/1.17 thf(decl_246, type, vec_index_set_int: vec_set_int > nat > set_int). 0.50/1.17 thf(decl_247, type, vec_se7251946917745546697ring_a: vec_Fi4296597256376197294ring_a > set_Fi2982333969990053029ring_a). 0.50/1.17 thf(decl_248, type, vec_set_int2: vec_int > set_int). 0.50/1.17 thf(decl_249, type, vec_set_nat: vec_nat > set_nat). 0.50/1.17 thf(decl_250, type, zero_m6492860411352497497ring_a: nat > nat > mat_Fi443519135453058082ring_a). 0.50/1.17 thf(decl_251, type, zero_mat_int: nat > nat > mat_int). 0.50/1.17 thf(decl_252, type, zero_mat_nat: nat > nat > mat_nat). 0.50/1.17 thf(decl_253, type, matrix6075657606858222175ring_a: nat > mat_Fi443519135453058082ring_a). 0.50/1.17 thf(decl_254, type, matrix8485685120660989714at_int: nat > mat_int). 0.50/1.17 thf(decl_255, type, matrix8488175591170039990at_nat: nat > mat_nat). 0.50/1.17 thf(decl_256, type, matrix705363690926585579ring_a: nat > vec_Fi4296597256376197294ring_a). 0.50/1.17 thf(decl_257, type, matrix2748772424961467270ec_int: nat > vec_int). 0.50/1.17 thf(decl_258, type, matrix2751262895470517546ec_nat: nat > vec_nat). 0.50/1.17 thf(decl_259, type, matrix770495507419459895ring_a: vec_Fi4296597256376197294ring_a > finite_mod_ring_a). 0.50/1.18 thf(decl_260, type, matrix3634415343793898042ec_int: vec_int > int). 0.50/1.18 thf(decl_261, type, matrix3636905814302948318ec_nat: vec_nat > nat). 0.50/1.18 thf(decl_262, type, matrix1747488316349179541_a_int: set_Fi2982333969990053029ring_a > (finite_mod_ring_a > int) > $o). 0.50/1.18 thf(decl_263, type, matrix310325924459760438nt_int: set_int > (int > int) > $o). 0.50/1.18 thf(decl_264, type, matrix6204109106362070401ring_a: mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a). 0.50/1.18 thf(decl_265, type, matrix7469203689328526704_a_int: mat_Fi443519135453058082ring_a > mat_int). 0.50/1.18 thf(decl_266, type, matrix9045395682116446742ring_a: mat_int > mat_Fi443519135453058082ring_a). 0.50/1.18 thf(decl_267, type, matrix323868623736973467nt_int: mat_int > mat_int). 0.50/1.18 thf(decl_268, type, matrix7517040601615355893ring_a: vec_Fi4296597256376197294ring_a > vec_Fi4296597256376197294ring_a). 0.50/1.18 thf(decl_269, type, matrix8742746829526049276_a_int: vec_Fi4296597256376197294ring_a > vec_int). 0.50/1.18 thf(decl_270, type, matrix1095566785459193506ring_a: vec_int > vec_Fi4296597256376197294ring_a). 0.50/1.18 thf(decl_271, type, matrix8301520909418075407nt_int: vec_int > vec_int). 0.50/1.18 thf(decl_272, type, matrix5859482775909362318ring_a: vec_Fi4296597256376197294ring_a > multis3731679216105815691ring_a). 0.50/1.18 thf(decl_273, type, matrix7410472831921750563et_int: vec_int > multiset_int). 0.50/1.18 thf(decl_274, type, matrix7412963302430800839et_nat: vec_nat > multiset_nat). 0.50/1.18 thf(decl_275, type, matrix6721843712216650060ring_a: finite_mod_ring_a > finite_mod_ring_a). 0.50/1.18 thf(decl_276, type, matrix2011149211968969189_a_int: finite_mod_ring_a > int). 0.50/1.18 thf(decl_277, type, matrix2013639682478019465_a_nat: finite_mod_ring_a > nat). 0.50/1.18 thf(decl_278, type, matrix3587341204756889227ring_a: int > finite_mod_ring_a). 0.50/1.18 thf(decl_279, type, matrix1697308990001484774nt_int: int > int). 0.50/1.18 thf(decl_280, type, matrix1699799460510535050nt_nat: int > nat). 0.50/1.18 thf(decl_281, type, matrix8976474140727638503ring_a: nat > finite_mod_ring_a). 0.50/1.18 thf(decl_282, type, matrix697955278100430218at_int: nat > int). 0.50/1.18 thf(decl_283, type, matrix700445748609480494at_nat: nat > nat). 0.50/1.18 thf(decl_284, type, count_7654011124160779523ring_a: multis3731679216105815691ring_a > finite_mod_ring_a > nat). 0.50/1.18 thf(decl_285, type, count_int: multiset_int > int > nat). 0.50/1.18 thf(decl_286, type, count_nat: multiset_nat > nat > nat). 0.50/1.18 thf(decl_287, type, multis7731357418211303474_O_int: multiset_int > multiset_int > $o). 0.50/1.18 thf(decl_288, type, multis7733847888720353750_O_nat: multiset_nat > multiset_nat > $o). 0.50/1.18 thf(decl_289, type, semiri9180929696517417892ring_a: nat > finite_mod_ring_a). 0.50/1.18 thf(decl_290, type, semiri1314217659103216013at_int: nat > int). 0.50/1.18 thf(decl_291, type, semiri1316708129612266289at_nat: nat > nat). 0.50/1.18 thf(decl_292, type, ord_less_int: int > int > $o). 0.50/1.18 thf(decl_293, type, ord_le1599922481286804176et_int: multiset_int > multiset_int > $o). 0.50/1.18 thf(decl_294, type, ord_le5777773500796000884et_nat: multiset_nat > multiset_nat > $o). 0.50/1.18 thf(decl_295, type, ord_less_nat: nat > nat > $o). 0.50/1.18 thf(decl_296, type, ord_less_set_int: set_int > set_int > $o). 0.50/1.18 thf(decl_297, type, ord_le657493780918073614_a_o_o: ((int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > $o) > ((int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > $o) > $o). 0.50/1.18 thf(decl_298, type, ord_le8512398041180637710nt_o_o: ((int > int > $o) > (int > int > $o) > $o) > ((int > int > $o) > (int > int > $o) > $o) > $o). 0.50/1.18 thf(decl_299, type, ord_le25265541537557922_int_o: ((int > int > int) > (int > int > int) > $o) > ((int > int > int) > (int > int > int) > $o) > $o). 0.50/1.18 thf(decl_300, type, ord_le6750502821611141689_a_o_o: ((int > $o) > (finite_mod_ring_a > $o) > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > $o). 0.50/1.18 thf(decl_301, type, ord_le9100565418538218190nt_o_o: ((int > $o) > (int > $o) > $o) > ((int > $o) > (int > $o) > $o) > $o). 0.50/1.18 thf(decl_302, type, ord_le5837993363827774264_int_o: ((int > int) > (int > int) > $o) > ((int > int) > (int > int) > $o) > $o). 0.50/1.18 thf(decl_303, type, ord_less_eq_o_o_o: ($o > $o > $o) > ($o > $o > $o) > $o). 0.50/1.18 thf(decl_304, type, ord_le757400399591664803ng_a_o: (int > finite_mod_ring_a > $o) > (int > finite_mod_ring_a > $o) > $o). 0.50/1.18 thf(decl_305, type, ord_le6741204236512500942_int_o: (int > int > $o) > (int > int > $o) > $o). 0.50/1.18 thf(decl_306, type, ord_less_eq_int_o: (int > $o) > (int > $o) > $o). 0.50/1.18 thf(decl_307, type, ord_le2646555220125990790_nat_o: (nat > nat > $o) > (nat > nat > $o) > $o). 0.50/1.18 thf(decl_308, type, ord_less_eq_int: int > int > $o). 0.50/1.18 thf(decl_309, type, ord_less_eq_mat_int: mat_int > mat_int > $o). 0.50/1.18 thf(decl_310, type, ord_less_eq_mat_nat: mat_nat > mat_nat > $o). 0.50/1.18 thf(decl_311, type, ord_le1510577980415592571et_int: mat_set_int > mat_set_int > $o). 0.50/1.18 thf(decl_312, type, ord_less_eq_vec_int: vec_int > vec_int > $o). 0.50/1.18 thf(decl_313, type, ord_less_eq_vec_nat: vec_nat > vec_nat > $o). 0.50/1.18 thf(decl_314, type, ord_le264858229241918703et_int: vec_set_int > vec_set_int > $o). 0.50/1.18 thf(decl_315, type, ord_le2424384866860593884et_int: multiset_int > multiset_int > $o). 0.50/1.18 thf(decl_316, type, ord_le6602235886369790592et_nat: multiset_nat > multiset_nat > $o). 0.50/1.18 thf(decl_317, type, ord_less_eq_nat: nat > nat > $o). 0.50/1.18 thf(decl_318, type, ord_le3976570047013626949ring_a: set_Fi2982333969990053029ring_a > set_Fi2982333969990053029ring_a > $o). 0.50/1.18 thf(decl_319, type, ord_less_eq_set_int: set_int > set_int > $o). 0.50/1.18 thf(decl_320, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.50/1.18 thf(decl_321, type, ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 0.50/1.18 thf(decl_322, type, unique5329631941980267465ux_int: product_prod_int_int > $o). 0.50/1.18 thf(decl_323, type, unique5332122412489317741ux_nat: product_prod_nat_nat > $o). 0.50/1.18 thf(decl_324, type, partia3655422107697216071_o_int: ($o > (int > $o) > $o) > (int > $o) > (int > int > $o) > $o). 0.50/1.18 thf(decl_325, type, partia3021926499135187501nt_int: ($o > (int > int) > $o) > (int > $o) > (int > int > int) > $o). 0.50/1.18 thf(decl_326, type, partia913349131986167100_o_int: ($o > $o > $o) > (int > $o) > (int > $o) > $o). 0.50/1.18 thf(decl_327, type, partia5540654559940588002nt_int: ($o > int > $o) > (int > $o) > (int > int) > $o). 0.50/1.18 thf(decl_328, type, partia4891982703469663477ring_a: (finite_mod_ring_a > finite_mod_ring_a > $o) > (finite_mod_ring_a > finite_mod_ring_a) > (finite_mod_ring_a > finite_mod_ring_a) > $o). 0.50/1.18 thf(decl_329, type, partia3523620419939627539_o_int: (int > (int > $o) > $o) > (int > int) > (int > int > $o) > $o). 0.50/1.18 thf(decl_330, type, partia5182009928110308705nt_int: (int > (int > int) > $o) > (int > int) > (int > int > int) > $o). 0.50/1.18 thf(decl_331, type, partia8884556558558592776_o_int: (int > $o > $o) > (int > int) > (int > $o) > $o). 0.50/1.18 thf(decl_332, type, partia1478704387905588059ring_a: (int > int > $o) > (finite_mod_ring_a > int) > (finite_mod_ring_a > int) > $o). 0.50/1.18 thf(decl_333, type, partia4528494827531477782nt_int: (int > int > $o) > (int > int) > (int > int) > $o). 0.50/1.18 thf(decl_334, type, produc3209952032786966637at_nat: (nat > nat > nat) > produc7248412053542808358at_nat > produc4471711990508489141at_nat). 0.50/1.18 thf(decl_335, type, product_Pair_int_int: int > int > product_prod_int_int). 0.50/1.18 thf(decl_336, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat). 0.50/1.18 thf(decl_337, type, produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat). 0.50/1.18 thf(decl_338, type, type_F4046628789905392870ring_a: itself4235916107012738301ring_a). 0.50/1.18 thf(decl_339, type, type_int: itself_int). 0.50/1.18 thf(decl_340, type, type_nat: itself_nat). 0.50/1.18 thf(decl_341, type, type_a: itself_a). 0.50/1.18 thf(decl_342, type, modulo_modulo_int: int > int > int). 0.50/1.18 thf(decl_343, type, modulo_modulo_nat: nat > nat > nat). 0.50/1.18 thf(decl_344, type, collect_int: (int > $o) > set_int). 0.50/1.18 thf(decl_345, type, collect_nat: (nat > $o) > set_nat). 0.50/1.18 thf(decl_346, type, image_4238506139956901036_a_int: (finite_mod_ring_a > int) > set_Fi2982333969990053029ring_a > set_int). 0.50/1.18 thf(decl_347, type, image_int_int: (int > int) > set_int > set_int). 0.50/1.18 thf(decl_348, type, image_int_nat: (int > nat) > set_int > set_nat). 0.50/1.18 thf(decl_349, type, image_nat_int: (nat > int) > set_nat > set_int). 0.50/1.18 thf(decl_350, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 0.50/1.18 thf(decl_351, type, set_or4662586982721622107an_int: int > int > set_int). 0.50/1.18 thf(decl_352, type, set_or4665077453230672383an_nat: nat > nat > set_nat). 0.50/1.18 thf(decl_353, type, set_or8585797421378605585et_int: set_int > set_int > set_set_int). 0.50/1.18 thf(decl_354, type, bi_tot8261576339290982118ring_a: (finite_mod_ring_a > finite_mod_ring_a > $o) > $o). 0.50/1.18 thf(decl_355, type, bi_tot623839499179674737ring_a: (int > finite_mod_ring_a > $o) > $o). 0.50/1.18 thf(decl_356, type, bi_total_int_int: (int > int > $o) > $o). 0.50/1.18 thf(decl_357, type, left_t5999478950615061222ring_a: (finite_mod_ring_a > finite_mod_ring_a > $o) > $o). 0.50/1.18 thf(decl_358, type, left_t7365413154463734731_a_int: (finite_mod_ring_a > int > $o) > $o). 0.50/1.18 thf(decl_359, type, left_t8941605147251654769ring_a: (int > finite_mod_ring_a > $o) > $o). 0.50/1.18 thf(decl_360, type, left_total_int_int: (int > int > $o) > $o). 0.50/1.18 thf(decl_361, type, right_301602178578872031ring_a: (finite_mod_ring_a > finite_mod_ring_a > $o) > $o). 0.50/1.18 thf(decl_362, type, right_1332816507441248914_a_int: (finite_mod_ring_a > int > $o) > $o). 0.50/1.18 thf(decl_363, type, right_2909008500229168952ring_a: (int > finite_mod_ring_a > $o) > $o). 0.50/1.18 thf(decl_364, type, right_total_int_int: (int > int > $o) > $o). 0.50/1.18 thf(decl_365, type, vector2311527483241216340at_mod: int > $o). 0.50/1.18 thf(decl_366, type, vector6118640873655855782at_mod: int > mat_int > mat_int). 0.50/1.18 thf(decl_367, type, vector1199560857299316530ec_mod: int > vec_int > vec_int). 0.50/1.18 thf(decl_368, type, vector2974885785920725647type_a: itself_a > int > $o). 0.50/1.18 thf(decl_369, type, vector2798151085771547010_Rel_a: int > mat_int > mat_Fi443519135453058082ring_a > $o). 0.50/1.18 thf(decl_370, type, vector5230790432342831627_Rel_a: int > vec_int > vec_Fi4296597256376197294ring_a > $o). 0.50/1.18 thf(decl_371, type, vector4745807456731380595type_a: itself_a > int > $o). 0.50/1.18 thf(decl_372, type, vector_Matrix_mod_M: int > int > int). 0.50/1.18 thf(decl_373, type, vector3024231343486012919_Rel_a: int > int > finite_mod_ring_a > $o). 0.50/1.18 thf(decl_374, type, vector2349909385534816566_inv_M: int > int > int). 0.50/1.18 thf(decl_375, type, member3034048621153491438ring_a: finite_mod_ring_a > set_Fi2982333969990053029ring_a > $o). 0.50/1.18 thf(decl_376, type, member_int: int > set_int > $o). 0.50/1.18 thf(decl_377, type, member_nat: nat > set_nat > $o). 0.50/1.18 thf(decl_378, type, member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o). 0.50/1.18 thf(decl_379, type, member_set_int: set_int > set_set_int > $o). 0.50/1.18 thf(decl_380, type, n: mat_int). 0.50/1.18 thf(decl_381, type, n2: mat_Fi443519135453058082ring_a). 0.50/1.18 thf(decl_382, type, i: nat). 0.50/1.18 thf(decl_383, type, j: nat). 0.50/1.18 thf(decl_384, type, m: int). 0.50/1.18 thf(decl_385, type, epred1_5: ($o > $o > $o) > int > int > (int > $o) > (int > $o) > $o). 0.50/1.18 thf(decl_386, type, epred2_5: ($o > $o > $o) > int > int > (int > $o) > (int > $o) > $o). 0.50/1.18 thf(decl_387, type, epred3_4: ($o > $o > $o) > (int > $o) > int > (int > $o) > $o). 0.50/1.18 thf(decl_388, type, epred4_5: ($o > $o > $o) > int > int > (int > $o) > (int > $o) > $o). 0.50/1.18 thf(decl_389, type, epred5_3: ($o > $o > $o) > (int > $o) > (int > $o) > $o). 0.50/1.18 thf(decl_390, type, epred6_5: ($o > $o > $o) > (int > $o) > (int > $o) > int > int > $o). 0.50/1.18 thf(decl_391, type, esk1_2: mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a > nat). 0.50/1.18 thf(decl_392, type, esk2_2: mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a > nat). 0.50/1.18 thf(decl_393, type, esk3_2: mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a > nat). 0.50/1.18 thf(decl_394, type, esk4_2: mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a > nat). 0.50/1.18 thf(decl_395, type, esk5_2: mat_int > mat_int > nat). 0.50/1.18 thf(decl_396, type, esk6_2: mat_int > mat_int > nat). 0.50/1.18 thf(decl_397, type, esk7_2: mat_int > mat_int > nat). 0.50/1.18 thf(decl_398, type, esk8_2: mat_int > mat_int > nat). 0.50/1.18 thf(decl_399, type, esk9_2: int > mat_int > nat). 0.50/1.18 thf(decl_400, type, esk10_2: int > mat_int > nat). 0.50/1.18 thf(decl_401, type, esk11_2: mat_int > mat_int > nat). 0.50/1.18 thf(decl_402, type, esk12_2: mat_int > mat_int > nat). 0.50/1.18 thf(decl_403, type, esk13_2: finite_mod_ring_a > mat_Fi443519135453058082ring_a > nat). 0.50/1.18 thf(decl_404, type, esk14_2: finite_mod_ring_a > mat_Fi443519135453058082ring_a > nat). 0.50/1.18 thf(decl_405, type, esk15_1: product_prod_nat_nat > nat). 0.50/1.18 thf(decl_406, type, esk16_1: product_prod_nat_nat > nat). 0.50/1.18 thf(decl_407, type, esk17_1: product_prod_nat_nat > nat). 0.50/1.18 thf(decl_408, type, esk18_1: product_prod_nat_nat > nat). 0.50/1.18 thf(decl_409, type, esk19_1: (product_prod_nat_nat > $o) > nat). 0.50/1.18 thf(decl_410, type, esk20_1: (product_prod_nat_nat > $o) > nat). 0.50/1.18 thf(decl_411, type, esk21_1: product_prod_nat_nat > nat). 0.50/1.18 thf(decl_412, type, esk22_1: product_prod_nat_nat > nat). 0.50/1.18 thf(decl_413, type, esk23_1: (nat > nat) > nat). 0.50/1.18 thf(decl_414, type, esk24_1: (nat > nat) > nat). 0.50/1.18 thf(decl_415, type, esk25_2: (nat > $o) > nat > nat). 0.50/1.18 thf(decl_416, type, esk26_1: (nat > $o) > nat). 0.50/1.18 thf(decl_417, type, esk27_1: (nat > $o) > nat). 0.50/1.18 thf(decl_418, type, esk28_1: (nat > $o) > nat). 0.50/1.18 thf(decl_419, type, esk29_3: (nat > $o) > (nat > $o) > nat > nat). 0.50/1.18 thf(decl_420, type, esk30_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 0.50/1.18 thf(decl_421, type, esk31_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.50/1.18 thf(decl_422, type, esk32_3: (nat > $o) > (nat > $o) > nat > nat). 0.50/1.18 thf(decl_423, type, esk33_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 0.50/1.18 thf(decl_424, type, esk34_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.50/1.18 thf(decl_425, type, esk35_1: nat > nat). 0.50/1.18 thf(decl_426, type, esk36_1: nat > nat). 0.50/1.18 thf(decl_427, type, esk37_1: nat > nat). 0.50/1.18 thf(decl_428, type, esk38_1: nat > nat). 0.50/1.18 thf(decl_429, type, esk39_3: (nat > $o) > (nat > $o) > nat > nat). 0.50/1.18 thf(decl_430, type, esk40_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 0.50/1.18 thf(decl_431, type, esk41_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.50/1.18 thf(decl_432, type, esk42_3: (nat > $o) > (nat > $o) > nat > nat). 0.50/1.18 thf(decl_433, type, esk43_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 0.50/1.18 thf(decl_434, type, esk44_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 0.50/1.18 thf(decl_435, type, esk45_1: nat > nat). 0.50/1.18 thf(decl_436, type, esk46_1: nat > nat). 0.50/1.18 thf(decl_437, type, esk47_1: nat > nat). 0.50/1.18 thf(decl_438, type, esk48_1: nat > nat). 0.50/1.18 thf(decl_439, type, esk49_1: nat > nat). 0.50/1.18 thf(decl_440, type, esk50_1: nat > nat). 0.50/1.18 thf(decl_441, type, esk51_1: nat > nat). 0.50/1.18 thf(decl_442, type, esk52_1: nat > nat). 0.50/1.18 thf(decl_443, type, esk53_2: mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a > nat). 0.50/1.18 thf(decl_444, type, esk54_2: mat_Fi443519135453058082ring_a > mat_Fi443519135453058082ring_a > nat). 0.50/1.18 thf(decl_445, type, esk55_1: mat_Fi443519135453058082ring_a > nat). 0.50/1.18 thf(decl_446, type, esk56_1: mat_Fi443519135453058082ring_a > nat). 0.50/1.18 thf(decl_447, type, esk57_1: mat_Fi443519135453058082ring_a > nat). 0.50/1.18 thf(decl_448, type, esk58_2: int > int > int). 0.50/1.18 thf(decl_449, type, esk59_1: (int > int > $o) > int). 0.50/1.18 thf(decl_450, type, esk60_1: (int > int > $o) > int). 0.50/1.18 thf(decl_451, type, esk61_1: (int > int > $o) > int). 0.50/1.18 thf(decl_452, type, esk62_1: int > nat). 0.50/1.18 thf(decl_453, type, esk63_1: int > nat). 0.50/1.18 thf(decl_454, type, esk64_1: int > nat). 0.50/1.18 thf(decl_455, type, esk65_1: int > nat). 0.50/1.18 thf(decl_456, type, esk66_2: vec_Fi4296597256376197294ring_a > vec_Fi4296597256376197294ring_a > nat). 0.50/1.18 thf(decl_457, type, esk67_2: vec_Fi4296597256376197294ring_a > vec_Fi4296597256376197294ring_a > nat). 0.50/1.18 thf(decl_458, type, esk68_2: finite_mod_ring_a > vec_Fi4296597256376197294ring_a > nat). 0.50/1.18 thf(decl_459, type, esk69_2: finite_mod_ring_a > vec_Fi4296597256376197294ring_a > nat). 0.50/1.18 thf(decl_460, type, esk70_2: vec_int > vec_int > nat). 0.50/1.18 thf(decl_461, type, esk71_2: vec_int > vec_int > nat). 0.50/1.18 thf(decl_462, type, esk72_2: int > vec_int > nat). 0.50/1.18 thf(decl_463, type, esk73_2: int > vec_int > nat). 0.50/1.18 thf(decl_464, type, esk74_1: vec_int > nat). 0.50/1.18 thf(decl_465, type, esk75_3: int > (int > int) > set_int > int). 0.50/1.18 thf(decl_466, type, esk76_3: int > (nat > int) > set_nat > nat). 0.50/1.18 thf(decl_467, type, esk77_3: (int > int) > set_int > (int > $o) > int). 0.50/1.18 thf(decl_468, type, esk78_3: (nat > int) > set_nat > (int > $o) > nat). 0.50/1.18 thf(decl_469, type, esk79_4: set_int > set_int > (int > int) > (int > int) > int). 0.50/1.18 thf(decl_470, type, esk80_3: (int > int) > set_int > (int > $o) > int). 0.50/1.18 thf(decl_471, type, esk81_3: (nat > int) > set_nat > (int > $o) > int). 0.50/1.18 thf(decl_472, type, esk82_3: int > (nat > int) > set_nat > nat). 0.50/1.18 thf(decl_473, type, esk83_3: int > (int > int) > set_int > int). 0.50/1.18 thf(decl_474, type, esk84_3: (int > int) > set_int > set_int > int). 0.50/1.18 thf(decl_475, type, esk85_3: (nat > int) > set_nat > set_int > nat). 0.50/1.18 thf(decl_476, type, esk86_3: set_nat > (nat > int) > set_int > nat). 0.50/1.18 thf(decl_477, type, esk87_3: set_int > (int > int) > set_int > int). 0.50/1.18 thf(decl_478, type, esk88_3: set_int > (int > int) > set_int > set_int). 0.50/1.18 thf(decl_479, type, esk89_3: set_int > (int > int) > set_int > set_int). 0.50/1.18 thf(decl_480, type, esk90_3: (int > $o) > (int > int) > set_int > int). 0.50/1.18 thf(decl_481, type, esk91_1: int > int). 0.50/1.18 thf(decl_482, type, esk92_1: int > int). 0.50/1.18 thf(decl_483, type, esk93_1: int > int). 0.50/1.18 thf(decl_484, type, esk94_1: int > int). 0.50/1.18 thf(decl_485, type, esk95_3: (int > $o) > (int > $o) > int > int). 0.50/1.18 thf(decl_486, type, esk96_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 0.50/1.18 thf(decl_487, type, esk97_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 0.50/1.18 thf(decl_488, type, esk98_3: (int > $o) > (int > $o) > int > int). 0.50/1.18 thf(decl_489, type, esk99_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 0.50/1.18 thf(decl_490, type, esk100_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 0.50/1.18 thf(decl_491, type, esk101_1: int > int). 0.50/1.18 thf(decl_492, type, esk102_1: int > int). 0.50/1.18 thf(decl_493, type, esk103_1: int > int). 0.50/1.18 thf(decl_494, type, esk104_1: int > int). 0.50/1.18 thf(decl_495, type, esk105_3: (int > $o) > (int > $o) > int > int). 0.50/1.18 thf(decl_496, type, esk106_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 0.50/1.18 thf(decl_497, type, esk107_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 0.50/1.18 thf(decl_498, type, esk108_3: (int > $o) > (int > $o) > int > int). 0.50/1.18 thf(decl_499, type, esk109_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 0.50/1.18 thf(decl_500, type, esk110_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 0.50/1.18 thf(decl_501, type, esk111_1: int > int). 0.50/1.18 thf(decl_502, type, esk112_1: int > int). 0.50/1.18 thf(decl_503, type, esk113_1: int > int). 0.50/1.18 thf(decl_504, type, esk114_1: int > int). 0.50/1.18 thf(decl_505, type, esk115_1: vec_int > nat). 0.50/1.18 thf(decl_506, type, esk116_1: vec_int > nat). 0.50/1.18 thf(decl_507, type, esk117_2: (int > finite_mod_ring_a > $o) > int > finite_mod_ring_a). 0.50/1.18 thf(decl_508, type, esk118_2: (int > finite_mod_ring_a > $o) > finite_mod_ring_a > int). 0.50/1.18 thf(decl_509, type, esk119_1: (int > finite_mod_ring_a > $o) > int). 0.50/1.18 thf(decl_510, type, esk120_1: (int > finite_mod_ring_a > $o) > finite_mod_ring_a). 0.50/1.18 thf(decl_511, type, esk121_2: (int > finite_mod_ring_a > $o) > finite_mod_ring_a > int). 0.50/1.18 thf(decl_512, type, esk122_1: (int > finite_mod_ring_a > $o) > finite_mod_ring_a). 0.50/1.18 thf(decl_513, type, esk123_2: (int > finite_mod_ring_a > $o) > finite_mod_ring_a > int). 0.50/1.18 thf(decl_514, type, esk124_1: (int > finite_mod_ring_a > $o) > finite_mod_ring_a). 0.50/1.18 thf(decl_515, type, esk125_2: (int > finite_mod_ring_a > $o) > int > finite_mod_ring_a). 0.50/1.18 thf(decl_516, type, esk126_1: (int > finite_mod_ring_a > $o) > int). 0.50/1.18 thf(decl_517, type, esk127_2: (int > finite_mod_ring_a > $o) > int > finite_mod_ring_a). 0.50/1.18 thf(decl_518, type, esk128_1: (int > finite_mod_ring_a > $o) > int). 0.50/1.18 thf(decl_519, type, esk129_4: (int > finite_mod_ring_a > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > (int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > int). 0.50/1.18 thf(decl_520, type, esk130_4: (int > finite_mod_ring_a > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > (int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > finite_mod_ring_a). 0.50/1.18 thf(decl_521, type, esk131_5: (int > finite_mod_ring_a > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > (int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > (int > finite_mod_ring_a > $o) > int). 0.50/1.18 thf(decl_522, type, esk132_5: (int > finite_mod_ring_a > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > (int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > (int > finite_mod_ring_a > $o) > finite_mod_ring_a). 0.50/1.18 thf(decl_523, type, epred7_6: (int > finite_mod_ring_a > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > (int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > (int > finite_mod_ring_a > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > int > $o). 0.50/1.18 thf(decl_524, type, epred8_6: (int > finite_mod_ring_a > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > (int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > (int > finite_mod_ring_a > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > finite_mod_ring_a > $o). 0.50/1.18 thf(decl_525, type, esk133_2: (int > finite_mod_ring_a > $o) > (int > finite_mod_ring_a > $o) > int). 0.50/1.18 thf(decl_526, type, esk134_2: (int > finite_mod_ring_a > $o) > (int > finite_mod_ring_a > $o) > finite_mod_ring_a). 0.50/1.18 thf(decl_527, type, epred9_4: (int > finite_mod_ring_a > $o) > (int > finite_mod_ring_a > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > int > $o). 0.50/1.18 thf(decl_528, type, epred10_4: (int > finite_mod_ring_a > $o) > (int > finite_mod_ring_a > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > finite_mod_ring_a > $o). 0.50/1.18 thf(decl_529, type, esk135_4: (int > finite_mod_ring_a > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > (int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > int). 0.50/1.18 thf(decl_530, type, esk136_4: (int > finite_mod_ring_a > $o) > ((int > $o) > (finite_mod_ring_a > $o) > $o) > (int > int > $o) > (finite_mod_ring_a > finite_mod_ring_a > $o) > finite_mod_ring_a). 0.50/1.18 thf(decl_531, type, esk137_3: nat > nat > nat > nat). 0.50/1.18 thf(decl_532, type, esk138_3: nat > nat > nat > nat). 0.50/1.18 thf(decl_533, type, esk139_6: nat > nat > nat > nat > (nat > nat) > (nat > nat) > nat). 0.50/1.18 thf(decl_534, type, esk140_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.50/1.18 thf(decl_535, type, esk141_2: set_nat > (nat > nat) > nat). 0.50/1.18 thf(decl_536, type, esk142_2: set_nat > (nat > nat) > nat). 0.50/1.18 thf(decl_537, type, esk143_2: nat > (nat > nat) > nat). 0.50/1.18 thf(decl_538, type, esk144_2: nat > (nat > nat) > nat). 0.50/1.18 thf(decl_539, type, esk145_3: nat > (nat > nat) > (nat > nat) > nat). 0.50/1.18 thf(decl_540, type, esk146_3: nat > (nat > nat) > (nat > nat) > nat). 0.50/1.18 thf(decl_541, type, esk147_1: (nat > nat) > nat). 0.50/1.18 thf(decl_542, type, esk148_1: (nat > nat) > nat). 0.50/1.18 thf(decl_543, type, esk149_1: vec_Fi4296597256376197294ring_a > nat). 0.50/1.18 thf(decl_544, type, esk150_1: vec_Fi4296597256376197294ring_a > nat). 0.50/1.18 thf(decl_545, type, esk151_1: mat_int > nat). 0.50/1.18 thf(decl_546, type, esk152_1: mat_int > nat). 0.50/1.18 thf(decl_547, type, esk153_1: mat_Fi443519135453058082ring_a > nat). 0.50/1.18 thf(decl_548, type, esk154_1: mat_Fi443519135453058082ring_a > nat). 0.50/1.18 thf(decl_549, type, esk155_2: nat > (nat > $o) > nat). 0.50/1.18 thf(decl_550, type, esk156_2: nat > (nat > $o) > nat). 0.50/1.18 thf(decl_551, type, esk157_2: nat > (nat > $o) > nat). 0.50/1.18 thf(decl_552, type, esk158_2: nat > (nat > $o) > nat). 0.50/1.18 thf(decl_553, type, esk159_2: nat > (nat > int) > nat). 0.50/1.18 thf(decl_554, type, esk160_2: nat > (nat > int) > nat). 0.50/1.18 thf(decl_555, type, esk161_3: nat > (nat > int) > (nat > int) > nat). 0.50/1.18 thf(decl_556, type, esk162_3: nat > (nat > int) > (nat > int) > nat). 0.50/1.18 thf(decl_557, type, esk163_3: int > int > (int > $o) > int). 0.50/1.18 thf(decl_558, type, esk164_1: int > nat). 0.50/1.18 thf(decl_559, type, esk165_1: int > nat). 0.50/1.18 thf(decl_560, type, esk166_0: nat). 0.50/1.18 thf(decl_561, type, esk167_0: nat). 0.50/1.18 thf(decl_562, type, esk168_1: nat > nat). 0.50/1.18 thf(decl_563, type, esk169_4: (int > int > $o) > ((int > int) > (int > int) > $o) > (int > int > int) > (int > int > int) > int). 0.50/1.18 thf(decl_564, type, esk170_4: (int > int > $o) > ((int > int) > (int > int) > $o) > (int > int > int) > (int > int > int) > int). 0.50/1.18 thf(decl_565, type, esk171_5: (int > int > $o) > ((int > int) > (int > int) > $o) > (int > int > int) > (int > int > int) > (int > int > $o) > int). 0.50/1.18 thf(decl_566, type, esk172_5: (int > int > $o) > ((int > int) > (int > int) > $o) > (int > int > int) > (int > int > int) > (int > int > $o) > int). 0.50/1.18 thf(decl_567, type, esk173_6: (int > int > $o) > ((int > int) > (int > int) > $o) > (int > int > int) > (int > int > int) > (int > int > $o) > ((int > int) > (int > int) > $o) > int > int). 0.50/1.18 thf(decl_568, type, esk174_6: (int > int > $o) > ((int > int) > (int > int) > $o) > (int > int > int) > (int > int > int) > (int > int > $o) > ((int > int) > (int > int) > $o) > int > int). 0.50/1.18 thf(decl_569, type, esk175_2: (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_570, type, esk176_2: (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_571, type, esk177_4: (int > int > $o) > (int > int > $o) > ((int > int) > (int > int) > $o) > ((int > int) > (int > int) > $o) > int > int). 0.50/1.18 thf(decl_572, type, esk178_4: (int > int > $o) > (int > int > $o) > ((int > int) > (int > int) > $o) > ((int > int) > (int > int) > $o) > int > int). 0.50/1.18 thf(decl_573, type, esk179_1: ((int > int) > (int > int) > $o) > int > int). 0.50/1.18 thf(decl_574, type, esk180_3: ((int > int) > (int > int) > $o) > (int > int > int) > (int > int > int) > int). 0.50/1.18 thf(decl_575, type, esk181_4: (int > int > $o) > ((int > int) > (int > int) > $o) > (int > int > int) > (int > int > int) > int). 0.50/1.18 thf(decl_576, type, esk182_4: (int > int > $o) > ((int > int) > (int > int) > $o) > (int > int > int) > (int > int > int) > int). 0.50/1.18 thf(decl_577, type, esk183_4: (int > int > $o) > (int > int > $o) > (int > int) > (int > int) > int). 0.50/1.18 thf(decl_578, type, esk184_4: (int > int > $o) > (int > int > $o) > (int > int) > (int > int) > int). 0.50/1.18 thf(decl_579, type, esk185_5: (int > int > $o) > (int > int > $o) > (int > int) > (int > int) > (int > int > $o) > int). 0.50/1.18 thf(decl_580, type, esk186_5: (int > int > $o) > (int > int > $o) > (int > int) > (int > int) > (int > int > $o) > int). 0.50/1.18 thf(decl_581, type, esk187_6: (int > int > $o) > (int > int > $o) > (int > int) > (int > int) > (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_582, type, esk188_6: (int > int > $o) > (int > int > $o) > (int > int) > (int > int) > (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_583, type, esk189_2: (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_584, type, esk190_2: (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_585, type, esk191_4: (int > int > $o) > (int > int > $o) > (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_586, type, esk192_4: (int > int > $o) > (int > int > $o) > (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_587, type, esk193_1: (int > int > $o) > int). 0.50/1.18 thf(decl_588, type, esk194_3: (int > int > $o) > (int > int) > (int > int) > int). 0.50/1.18 thf(decl_589, type, esk195_4: (int > int > $o) > (int > int > $o) > (int > int) > (int > int) > int). 0.50/1.18 thf(decl_590, type, esk196_4: (int > int > $o) > (int > int > $o) > (int > int) > (int > int) > int). 0.50/1.18 thf(decl_591, type, esk197_1: (nat > nat > $o) > nat). 0.50/1.18 thf(decl_592, type, esk198_1: (nat > nat > $o) > nat). 0.50/1.18 thf(decl_593, type, esk199_1: (nat > nat > $o) > nat). 0.50/1.18 thf(decl_594, type, esk200_1: (nat > nat > $o) > nat). 0.50/1.18 thf(decl_595, type, esk201_1: (nat > nat > $o) > nat). 0.50/1.18 thf(decl_596, type, esk202_1: (nat > nat > $o) > nat). 0.50/1.18 thf(decl_597, type, esk203_3: (nat > $o) > nat > nat > nat). 0.50/1.18 thf(decl_598, type, esk204_3: (nat > $o) > nat > nat > nat). 0.50/1.18 thf(decl_599, type, esk205_2: nat > nat > nat). 0.50/1.18 thf(decl_600, type, esk206_1: (nat > nat > $o) > nat). 0.50/1.18 thf(decl_601, type, esk207_1: (nat > nat > $o) > nat). 0.50/1.18 thf(decl_602, type, esk208_1: (nat > nat > $o) > nat). 0.50/1.18 thf(decl_603, type, esk209_1: (nat > nat > $o) > nat). 0.50/1.18 thf(decl_604, type, esk210_1: (nat > nat > $o) > nat). 0.50/1.18 thf(decl_605, type, esk211_1: mat_int > nat). 0.50/1.18 thf(decl_606, type, esk212_1: mat_int > nat). 0.50/1.18 thf(decl_607, type, esk213_1: mat_int > nat). 0.50/1.18 thf(decl_608, type, esk214_1: mat_int > nat). 0.50/1.18 thf(decl_609, type, esk215_4: set_nat > set_nat > (nat > int) > (nat > int) > nat). 0.50/1.18 thf(decl_610, type, esk216_2: set_nat > (nat > nat) > nat). 0.50/1.18 thf(decl_611, type, esk217_2: (nat > nat) > set_nat > nat). 0.50/1.18 thf(decl_612, type, esk218_4: (int > int > $o) > ((int > $o) > (int > $o) > $o) > (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_613, type, esk219_4: (int > int > $o) > ((int > $o) > (int > $o) > $o) > (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_614, type, esk220_5: (int > int > $o) > ((int > $o) > (int > $o) > $o) > (int > int > $o) > (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_615, type, esk221_5: (int > int > $o) > ((int > $o) > (int > $o) > $o) > (int > int > $o) > (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_616, type, epred11_6: (int > int > $o) > ((int > $o) > (int > $o) > $o) > (int > int > $o) > (int > int > $o) > (int > int > $o) > ((int > $o) > (int > $o) > $o) > int > $o). 0.50/1.18 thf(decl_617, type, epred12_6: (int > int > $o) > ((int > $o) > (int > $o) > $o) > (int > int > $o) > (int > int > $o) > (int > int > $o) > ((int > $o) > (int > $o) > $o) > int > $o). 0.50/1.18 thf(decl_618, type, esk222_2: (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_619, type, esk223_2: (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_620, type, epred13_4: (int > int > $o) > (int > int > $o) > ((int > $o) > (int > $o) > $o) > ((int > $o) > (int > $o) > $o) > int > $o). 0.50/1.18 thf(decl_621, type, epred14_4: (int > int > $o) > (int > int > $o) > ((int > $o) > (int > $o) > $o) > ((int > $o) > (int > $o) > $o) > int > $o). 0.50/1.18 thf(decl_622, type, epred15_1: ((int > $o) > (int > $o) > $o) > int > $o). 0.50/1.18 thf(decl_623, type, esk224_3: ((int > $o) > (int > $o) > $o) > (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_624, type, esk225_4: (int > int > $o) > ((int > $o) > (int > $o) > $o) > (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_625, type, esk226_4: (int > int > $o) > ((int > $o) > (int > $o) > $o) > (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_626, type, esk227_4: (int > int > $o) > ($o > $o > $o) > (int > $o) > (int > $o) > int). 0.50/1.18 thf(decl_627, type, esk228_4: (int > int > $o) > ($o > $o > $o) > (int > $o) > (int > $o) > int). 0.50/1.18 thf(decl_628, type, esk229_5: (int > int > $o) > ($o > $o > $o) > (int > $o) > (int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_629, type, esk230_5: (int > int > $o) > ($o > $o > $o) > (int > $o) > (int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_630, type, epred16_6: (int > int > $o) > ($o > $o > $o) > (int > $o) > (int > $o) > (int > int > $o) > ($o > $o > $o) > $o). 0.50/1.18 thf(decl_631, type, epred17_6: (int > int > $o) > ($o > $o > $o) > (int > $o) > (int > $o) > (int > int > $o) > ($o > $o > $o) > $o). 0.50/1.18 thf(decl_632, type, esk231_2: (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_633, type, esk232_2: (int > int > $o) > (int > int > $o) > int). 0.50/1.18 thf(decl_634, type, epred18_4: (int > int > $o) > (int > int > $o) > ($o > $o > $o) > ($o > $o > $o) > $o). 0.50/1.18 thf(decl_635, type, epred19_4: (int > int > $o) > (int > int > $o) > ($o > $o > $o) > ($o > $o > $o) > $o). 0.50/1.18 thf(decl_636, type, epred20_1: ($o > $o > $o) > $o). 0.50/1.18 thf(decl_637, type, esk233_4: (int > int > $o) > ($o > $o > $o) > (int > $o) > (int > $o) > int). 0.50/1.18 thf(decl_638, type, esk234_4: (int > int > $o) > ($o > $o > $o) > (int > $o) > (int > $o) > int). 0.50/1.18 thf(decl_639, type, esk235_1: vec_int > nat). 0.50/1.18 thf(decl_640, type, esk236_1: mat_nat > nat). 0.50/1.18 thf(decl_641, type, esk237_1: mat_nat > nat). 0.50/1.18 thf(decl_642, type, esk238_1: mat_nat > nat). 0.50/1.18 thf(decl_643, type, esk239_1: mat_nat > nat). 0.50/1.18 thf(decl_644, type, esk240_1: vec_Fi4296597256376197294ring_a > nat). 0.50/1.18 thf(decl_645, type, esk241_1: mat_int > nat). 0.50/1.18 thf(decl_646, type, esk242_3: (nat > $o) > (nat > int) > set_int > nat). 0.50/1.18 thf(decl_647, type, esk243_3: (int > $o) > (int > $o) > ($o > $o > $o) > int). 0.50/1.18 thf(decl_648, type, esk244_3: (int > $o) > (int > $o) > ($o > $o > $o) > int). 0.50/1.18 thf(decl_649, type, esk245_0: int > int). 0.50/1.18 thf(decl_650, type, esk246_1: int > int > int). 0.50/1.18 thf(decl_651, type, epred21_0: mat_int > nat > $o). 0.50/1.18 thf(decl_652, type, epred22_0: mat_Fi443519135453058082ring_a > nat > $o). 0.50/1.18 thf(decl_653, type, epred23_0: mat_int > nat > $o). 0.50/1.18 thf(decl_654, type, epred24_0: mat_Fi443519135453058082ring_a > nat > $o). 0.50/1.18 thf(decl_655, type, epred25_1: int > int > int > $o). 0.50/1.18 thf(decl_656, type, esk247_3: nat > nat > mat_Fi443519135453058082ring_a > nat > finite_mod_ring_a). 0.50/1.18 thf(decl_657, type, esk248_3: nat > nat > mat_int > nat > int). 0.50/1.18 thf(decl_658, type, esk249_0: int > int). 0.50/1.18 thf(decl_659, type, epred26_3: (int > $o) > set_int > (int > int) > int > $o). 0.50/1.18 thf(decl_660, type, epred27_3: (int > int) > (int > $o) > set_int > int > $o). 0.50/1.18 thf(decl_661, type, esk250_2: (int > int) > (int > int) > int > int). 0.50/1.18 thf(decl_662, type, esk251_2: (nat > int) > (int > int) > nat > int). 0.50/1.18 thf(decl_663, type, epred28_0: (int > $o) > $o). 0.50/1.18 thf(decl_664, type, epred29_0: (finite_mod_ring_a > $o) > $o). 0.50/1.18 thf(decl_665, type, epred30_0: vec_int > nat > $o). 0.50/1.18 thf(decl_666, type, epred31_0: vec_Fi4296597256376197294ring_a > nat > $o). 0.50/1.18 thf(decl_667, type, esk252_0: nat > finite_mod_ring_a). 0.50/1.18 thf(decl_668, type, esk253_2: (nat > nat) > (nat > nat) > nat > nat). 0.50/1.18 thf(decl_669, type, esk254_2: vec_Fi4296597256376197294ring_a > vec_Fi4296597256376197294ring_a > nat > finite_mod_ring_a). 0.50/1.18 thf(decl_670, type, esk255_2: vec_int > vec_int > nat > int). 0.50/1.18 thf(decl_671, type, esk256_0: mat_int > nat > nat > int). 0.50/1.18 thf(decl_672, type, esk257_0: mat_Fi443519135453058082ring_a > nat > nat > finite_mod_ring_a). 0.50/1.18 thf(decl_673, type, esk258_0: vec_int > nat > int). 0.50/1.18 thf(decl_674, type, esk259_0: vec_Fi4296597256376197294ring_a > nat > finite_mod_ring_a). 0.50/1.18 thf(decl_675, type, esk260_2: (nat > int) > (nat > int) > nat > int). 0.50/1.18 thf(decl_676, type, esk261_1: (nat > nat) > nat > int). 0.50/1.18 thf(decl_677, type, esk262_2: nat > (nat > nat) > nat > nat). 0.50/1.18 thf(decl_678, type, epred32_1: set_int > int > $o). 0.50/1.18 thf(decl_679, type, epred33_3: (int > $o) > (nat > int) > set_nat > int > $o). 0.50/1.18 thf(decl_680, type, epred34_3: (nat > int) > set_nat > (int > $o) > nat > $o). 0.50/1.18 thf(decl_681, type, epred35_2: (int > $o) > set_int > int > $o). 0.50/1.18 thf(decl_682, type, esk263_2: (nat > finite_mod_ring_a) > (nat > finite_mod_ring_a) > nat > finite_mod_ring_a). 0.50/1.18 thf(decl_683, type, esk264_2: (nat > nat) > nat > nat > nat). 0.50/1.18 thf(decl_684, type, esk265_0: nat > nat). 0.50/1.18 thf(decl_685, type, esk266_2: set_nat > (nat > nat > nat) > nat > nat). 0.50/1.18 thf(decl_686, type, esk267_1: (nat > nat > nat) > nat > nat > nat). 0.50/1.18 thf(decl_687, type, esk268_2: nat > (nat > nat) > nat > nat). 0.50/1.18 thf(decl_688, type, esk269_3: set_nat > (nat > nat) > (nat > nat) > nat > nat). 0.50/1.18 thf(decl_689, type, esk270_2: set_nat > (nat > nat > nat > nat) > nat > nat > nat). 0.50/1.18 thf(decl_690, type, esk271_1: (nat > nat > nat > nat) > nat > nat > nat > nat). 0.50/1.18 thf(decl_691, type, esk272_2: set_nat > (nat > nat > nat > nat) > nat > nat > nat). 0.50/1.18 thf(decl_692, type, esk273_1: (nat > nat) > nat > nat). 0.50/1.18 thf(decl_693, type, epred36_0: int > (int > $o) > $o). 0.50/1.18 thf(decl_694, type, esk274_1: (int > $o) > int). 0.50/1.18 thf(decl_695, type, esk275_1: (finite_mod_ring_a > $o) > finite_mod_ring_a). 0.50/1.18 thf(decl_696, type, esk276_0: finite_mod_ring_a). 0.50/1.18 thf(decl_697, type, esk277_0: finite_mod_ring_a). 0.50/1.18 thf(fact_3_MM__Rel__def, axiom, ![X1:mat_int, X2:mat_Fi443519135453058082ring_a]:(((vector2798151085771547010_Rel_a @ m @ X1 @ X2)<=>((vector6118640873655855782at_mod @ m @ X1)=(map_ma7999993494926133152_a_int @ finite1095367895020317408ring_a @ X2)))), file('/export/starexec/sandbox/tmp/tmp.y3bzay7xek/Vampire---4.8_23501', fact_3_MM__Rel__def)). 0.50/1.18 thf(conj_0, conjecture, ((vector6118640873655855782at_mod @ m @ n)=(map_ma7999993494926133152_a_int @ finite1095367895020317408ring_a @ n2)), file('/export/starexec/sandbox/tmp/tmp.y3bzay7xek/Vampire---4.8_23501', conj_0)). 0.50/1.18 thf(fact_2_assms_I1_J, axiom, (vector2798151085771547010_Rel_a @ m @ n @ n2), file('/export/starexec/sandbox/tmp/tmp.y3bzay7xek/Vampire---4.8_23501', fact_2_assms_I1_J)). 0.50/1.18 thf(c_0_3, plain, ![X4476:mat_int, X4477:mat_Fi443519135453058082ring_a]:(((~(vector2798151085771547010_Rel_a @ m @ X4476 @ X4477)|((vector6118640873655855782at_mod @ m @ X4476)=(map_ma7999993494926133152_a_int @ finite1095367895020317408ring_a @ X4477)))&(((vector6118640873655855782at_mod @ m @ X4476)!=(map_ma7999993494926133152_a_int @ finite1095367895020317408ring_a @ X4477))|(vector2798151085771547010_Rel_a @ m @ X4476 @ X4477)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_MM__Rel__def])])). 0.50/1.18 thf(c_0_4, negated_conjecture, ((vector6118640873655855782at_mod @ m @ n)!=(map_ma7999993494926133152_a_int @ finite1095367895020317408ring_a @ n2)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.50/1.18 thf(c_0_5, plain, ![X1:mat_int, X2:mat_Fi443519135453058082ring_a]:((((vector6118640873655855782at_mod @ m @ X1)=(map_ma7999993494926133152_a_int @ finite1095367895020317408ring_a @ X2))|~((vector2798151085771547010_Rel_a @ m @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.50/1.18 thf(c_0_6, plain, (vector2798151085771547010_Rel_a @ m @ n @ n2), inference(split_conjunct,[status(thm)],[fact_2_assms_I1_J])). 0.50/1.18 thf(c_0_7, negated_conjecture, ((vector6118640873655855782at_mod @ m @ n)!=(map_ma7999993494926133152_a_int @ finite1095367895020317408ring_a @ n2)), inference(split_conjunct,[status(thm)],[c_0_4])). 0.50/1.18 thf(c_0_8, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_6]), c_0_7]), ['proof']). 0.50/1.18 # SZS output end CNFRefutation 0.50/1.18 # Parsed axioms : 1670 0.50/1.18 # Removed by relevancy pruning/SinE : 571 0.50/1.18 # Initial clauses : 2144 0.50/1.18 # Removed in clause preprocessing : 114 0.50/1.18 # Initial clauses in saturation : 2030 0.50/1.18 # Processed clauses : 2458 0.50/1.18 # ...of these trivial : 75 0.50/1.18 # ...subsumed : 320 0.50/1.18 # ...remaining for further processing : 2063 0.50/1.18 # Other redundant clauses eliminated : 152 0.50/1.18 # Clauses deleted for lack of memory : 0 0.50/1.18 # Backward-subsumed : 3 0.50/1.18 # Backward-rewritten : 10 0.50/1.18 # Generated clauses : 371 0.50/1.18 # ...of the previous two non-redundant : 235 0.50/1.18 # ...aggressively subsumed : 0 0.50/1.18 # Contextual simplify-reflections : 0 0.50/1.18 # Paramodulations : 199 0.50/1.18 # Factorizations : 0 0.50/1.18 # NegExts : 2 0.50/1.18 # Equation resolutions : 156 0.50/1.18 # Propositional unsat checks : 0 0.50/1.18 # Propositional check models : 0 0.50/1.18 # Propositional check unsatisfiable : 0 0.50/1.18 # Propositional clauses : 0 0.50/1.18 # Propositional clauses after purity: 0 0.50/1.18 # Propositional unsat core size : 0 0.50/1.18 # Propositional preprocessing time : 0.000 0.50/1.18 # Propositional encoding time : 0.000 0.50/1.18 # Propositional solver time : 0.000 0.50/1.18 # Success case prop preproc time : 0.000 0.50/1.18 # Success case prop encoding time : 0.000 0.50/1.18 # Success case prop solver time : 0.000 0.50/1.18 # Current number of processed clauses : 293 0.50/1.18 # Positive orientable unit clauses : 137 0.50/1.18 # Positive unorientable unit clauses: 0 0.50/1.18 # Negative unit clauses : 30 0.50/1.18 # Non-unit-clauses : 126 0.50/1.18 # Current number of unprocessed clauses: 1420 0.50/1.18 # ...number of literals in the above : 5025 0.50/1.18 # Current number of archived formulas : 0 0.50/1.18 # Current number of archived clauses : 1629 0.50/1.18 # Clause-clause subsumption calls (NU) : 426828 0.50/1.18 # Rec. Clause-clause subsumption calls : 116142 0.50/1.18 # Non-unit clause-clause subsumptions : 241 0.50/1.18 # Unit Clause-clause subsumption calls : 3501 0.50/1.18 # Rewrite failures with RHS unbound : 0 0.50/1.18 # BW rewrite match attempts : 139 0.50/1.18 # BW rewrite match successes : 56 0.50/1.18 # Condensation attempts : 0 0.50/1.18 # Condensation successes : 0 0.50/1.18 # Termbank termtop insertions : 211810 0.50/1.18 0.50/1.18 # ------------------------------------------------- 0.50/1.18 # User time : 0.432 s 0.50/1.18 # System time : 0.021 s 0.50/1.18 # Total time : 0.453 s 0.50/1.18 # Maximum resident set size: 12496 pages 0.50/1.18 0.50/1.18 # ------------------------------------------------- 0.50/1.18 # User time : 0.490 s 0.50/1.18 # System time : 0.029 s 0.50/1.18 # Total time : 0.519 s 0.50/1.18 # Maximum resident set size: 4856 pages 0.50/1.18 EOF