0.00/0.01 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.02 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s 0.04/0.30 % Computer : n024.cluster.edu 0.04/0.30 % Model : x86_64 x86_64 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.04/0.30 % Memory : 8046.5625MB 0.04/0.30 % OS : Linux 6.8.0-71-generic 0.04/0.30 % CPULimit : 1440 0.04/0.30 % WCLimit : 180 0.04/0.30 % DateTime : Mon Jul 27 07:08:00 UTC 2026 0.04/0.30 % CPUTime : 0.08/0.35 ....... 0.19/0.43 0.19/0.43 No.of.Axioms: 270 0.19/0.43 0.19/0.43 Length.of.Defs: 0 0.19/0.43 0.19/0.43 Contains.Choice.Funs: false 0.19/0.47 .............. 0.19/0.52 (rf:2,axioms:139,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:272,loop_count:0,foatp_calls:0,translation:fof_full)...................................................................................... 0.59/18.03 0.59/18.03 ******************************** 0.59/18.03 * All subproblems solved! * 0.59/18.03 ******************************** 0.59/18.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:139,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1892,loop_count:0,foatp_calls:1,translation:fof_full) 18.87/19.13 18.87/19.13 %**** Beginning of derivation protocol **** 18.87/19.13 % SZS output start CNFRefutation 18.87/19.13 thf(tp_a,type,(a: $tType)). 18.87/19.13 thf(tp_set_a,type,(set_a: $tType)). 18.87/19.13 thf(tp_set_set_a,type,(set_set_a: $tType)). 18.87/19.13 thf(tp_a2,type,(a2: a)). 18.87/19.13 thf(tp_abel_semigroup_a,type,(abel_semigroup_a: ((a>(a>a))>$o))). 18.87/19.13 thf(tp_antimono_a_set_a,type,(antimono_a_set_a: ((a>(a>$o))>((a>set_a)>$o)))). 18.87/19.13 thf(tp_b,type,(b: a)). 18.87/19.13 thf(tp_bot_bot_set_a,type,(bot_bot_set_a: set_a)). 18.87/19.13 thf(tp_bot_bot_set_set_a,type,(bot_bot_set_set_a: set_set_a)). 18.87/19.13 thf(tp_c,type,(c: a)). 18.87/19.13 thf(tp_collect_a,type,(collect_a: ((a>$o)>set_a))). 18.87/19.13 thf(tp_collect_set_a,type,(collect_set_a: ((set_a>$o)>set_set_a))). 18.87/19.13 thf(tp_condit1001553558elow_a,type,(condit1001553558elow_a: ((a>(a>$o))>(set_a>$o)))). 18.87/19.13 thf(tp_condit1627435690bove_a,type,(condit1627435690bove_a: ((a>(a>$o))>(set_a>$o)))). 18.87/19.13 thf(tp_finite40241356em_a_a,type,(finite40241356em_a_a: ((a>(a>a))>$o))). 18.87/19.13 thf(tp_finite_finite_a,type,(finite_finite_a: (set_a>$o))). 18.87/19.13 thf(tp_finite_finite_set_a,type,(finite_finite_set_a: (set_set_a>$o))). 18.87/19.13 thf(tp_greatest_a,type,(greatest_a: ((a>(a>$o))>((a>$o)>a)))). 18.87/19.13 thf(tp_inf,type,(inf: (a>(a>a)))). 18.87/19.13 thf(tp_insert_a,type,(insert_a: (a>(set_a>set_a)))). 18.87/19.13 thf(tp_insert_set_a,type,(insert_set_a: (set_a>(set_set_a>set_set_a)))). 18.87/19.13 thf(tp_lattic1781219155_fin_a,type,(lattic1781219155_fin_a: ((a>(a>a))>(set_a>a)))). 18.87/19.13 thf(tp_lattic1885654924_set_a,type,(lattic1885654924_set_a: ((a>(a>a))>$o))). 18.87/19.13 thf(tp_lattic247676691_fin_a,type,(lattic247676691_fin_a: ((a>(a>a))>(set_a>a)))). 18.87/19.13 thf(tp_least_a,type,(least_a: ((a>(a>$o))>((a>$o)>a)))). 18.87/19.13 thf(tp_less_eq,type,(less_eq: (a>(a>$o)))). 18.87/19.13 thf(tp_max_a,type,(max_a: ((a>(a>$o))>(a>(a>a))))). 18.87/19.13 thf(tp_member_a,type,(member_a: (a>(set_a>$o)))). 18.87/19.13 thf(tp_member_set_a,type,(member_set_a: (set_a>(set_set_a>$o)))). 18.87/19.13 thf(tp_min_a,type,(min_a: ((a>(a>$o))>(a>(a>a))))). 18.87/19.13 thf(tp_modula1144073633_aux_a,type,(modula1144073633_aux_a: ((a>(a>a))>((a>(a>a))>(a>(a>(a>a))))))). 18.87/19.13 thf(tp_modula1936294176_aux_a,type,(modula1936294176_aux_a: ((a>(a>a))>((a>(a>a))>(a>(a>(a>a))))))). 18.87/19.13 thf(tp_mono_a_set_a,type,(mono_a_set_a: ((a>(a>$o))>((a>set_a)>$o)))). 18.87/19.13 thf(tp_ord_le318720350_set_a,type,(ord_le318720350_set_a: (set_set_a>(set_set_a>$o)))). 18.87/19.13 thf(tp_ord_less_eq_set_a,type,(ord_less_eq_set_a: (set_a>(set_a>$o)))). 18.87/19.13 thf(tp_sK10_Y2,type,(sK10_Y2: (a>((a>$o)>a)))). 18.87/19.13 thf(tp_sK11_Y2,type,(sK11_Y2: (a>((a>$o)>a)))). 18.87/19.13 thf(tp_sK12_Y2,type,(sK12_Y2: (a>((a>$o)>a)))). 18.87/19.13 thf(tp_sK13_Y2,type,(sK13_Y2: (a>((a>$o)>a)))). 18.87/19.13 thf(tp_sK14_X2,type,(sK14_X2: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK15_SY355,type,(sK15_SY355: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK16_SY357,type,(sK16_SY357: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK17_X2,type,(sK17_X2: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK18_SY358,type,(sK18_SY358: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK19_X2,type,(sK19_X2: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK1_Y2,type,(sK1_Y2: (a>((a>$o)>a)))). 18.87/19.13 thf(tp_sK20_SY359,type,(sK20_SY359: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK21_X2,type,(sK21_X2: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK22_SY360,type,(sK22_SY360: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK23_SY362,type,(sK23_SY362: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK24_X2,type,(sK24_X2: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK25_SY363,type,(sK25_SY363: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK26_X2,type,(sK26_X2: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK27_SY364,type,(sK27_SY364: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK28_X2,type,(sK28_X2: (a>a))). 18.87/19.13 thf(tp_sK29_SY365,type,(sK29_SY365: (a>a))). 18.87/19.13 thf(tp_sK2_Y2,type,(sK2_Y2: (a>((a>$o)>a)))). 18.87/19.13 thf(tp_sK30_SY367,type,(sK30_SY367: (a>a))). 18.87/19.13 thf(tp_sK31_X2,type,(sK31_X2: (a>a))). 18.87/19.13 thf(tp_sK32_SY368,type,(sK32_SY368: (a>a))). 18.87/19.13 thf(tp_sK33_SY370,type,(sK33_SY370: (a>a))). 18.87/19.13 thf(tp_sK34_SY601,type,(sK34_SY601: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK35_SY652,type,(sK35_SY652: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK36_SY654,type,(sK36_SY654: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK3_X2,type,(sK3_X2: ((a>$o)>(a>((a>$o)>a))))). 18.87/19.13 thf(tp_sK4_Y2,type,(sK4_Y2: (a>((a>$o)>a)))). 18.87/19.13 thf(tp_sK5_X2,type,(sK5_X2: ((a>$o)>(a>((a>$o)>a))))). 18.87/19.13 thf(tp_sK6_Y2,type,(sK6_Y2: (a>((a>$o)>a)))). 18.87/19.13 thf(tp_sK7_A4,type,(sK7_A4: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK8_SY351,type,(sK8_SY351: ((a>(a>a))>a))). 18.87/19.13 thf(tp_sK9_SY353,type,(sK9_SY353: ((a>(a>a))>a))). 18.87/19.13 thf(tp_semigroup_a,type,(semigroup_a: ((a>(a>a))>$o))). 18.87/19.13 thf(tp_semilattice_a,type,(semilattice_a: ((a>(a>a))>$o))). 18.87/19.13 thf(tp_set_atLeastAtMost_a,type,(set_atLeastAtMost_a: ((a>(a>$o))>(a>(a>set_a))))). 18.87/19.13 thf(tp_set_atLeast_a,type,(set_atLeast_a: ((a>(a>$o))>(a>set_a)))). 18.87/19.13 thf(tp_set_atMost_a,type,(set_atMost_a: ((a>(a>$o))>(a>set_a)))). 18.87/19.13 thf(tp_sup,type,(sup: (a>(a>a)))). 18.87/19.13 thf(tp_transp_a,type,(transp_a: ((a>(a>$o))>$o))). 18.87/19.13 thf(1,axiom,(![X:a,A:a,B:a]: (((less_eq@X)@A) => (((less_eq@X)@((inf@A)@B)) <= ((less_eq@X)@B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_local_Ole__infI)). 18.87/19.13 thf(2,axiom,(finite40241356em_a_a@sup),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_local_Ocomp__fun__idem__sup)). 18.87/19.13 thf(5,axiom,(![X:a,Y:a]: ((less_eq@((inf@X)@Y))@X)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_local_Oinf__le1)). 18.87/19.13 thf(7,axiom,(![X:a]: ((less_eq@X)@X)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_local_Oorder__refl)). 18.87/19.13 thf(8,axiom,(![X:a,Y:a]: (((less_eq@X)@Y) = (((inf@X)@Y) = X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_local_Ole__iff__inf)). 18.87/19.13 thf(9,axiom,(![P:(a>$o),Z:a]: ((((less_eq@((least_a@less_eq)@P))@Z) <= (P@Z)) <= (?[X4:a]: (((P@X4) & (![Y2:a]: (((less_eq@X4)@Y2) <= (P@Y2)))) & (![Y2:a]: (((P@Y2) & (![Ya:a]: (((less_eq@Y2)@Ya) <= (P@Ya)))) => (Y2 = X4))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_local_OLeast1__le)). 18.87/19.13 thf(10,axiom,(![Y:a,X:a]: ((((less_eq@X)@Y) = (X = Y)) <= ((less_eq@Y)@X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_local_Oantisym__conv)). 18.87/19.13 thf(12,axiom,(![A:a,B:a]: (((less_eq@A)@B) = (((sup@A)@B) = B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_local_Osup_Oabsorb__iff2)). 18.87/19.13 thf(14,axiom,(![Y:a,X:a]: (((less_eq@Y)@X) => (((sup@X)@Y) = X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_local_Osup__absorb1)). 18.87/19.13 thf(15,axiom,(![A:a]: (((sup@A)@A) = A)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_local_Osup_Oidem)). 18.87/19.13 thf(16,axiom,(![X:a,Y:a]: ((less_eq@X)@((sup@X)@Y))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_local_Osup__ge1)). 18.87/19.13 thf(18,axiom,(![X:a,Y:a]: ((less_eq@((inf@X)@Y))@Y)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_local_Oinf__le2)). 18.87/19.13 thf(19,axiom,(![Y:a,X:a,Z:a]: (((less_eq@Y)@X) => (((less_eq@((sup@Y)@Z))@X) <= ((less_eq@Z)@X)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_local_Osup__least)). 18.87/19.13 thf(20,axiom,(semilattice_a@sup),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_local_Osup_Osemilattice__axioms)). 18.87/19.13 thf(22,axiom,(![A:a,B:a,C:a]: (((less_eq@A)@B) => (((less_eq@A)@C) <= (B = C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_local_Oord__le__eq__trans)). 18.87/19.13 thf(23,axiom,(![A:a,C:a,B:a]: (((less_eq@A)@C) => ((less_eq@((inf@A)@B))@C))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_local_Oinf_OcoboundedI1)). 18.87/19.13 thf(28,axiom,(![X:a,Y:a]: (((sup@X)@((sup@X)@Y)) = ((sup@X)@Y))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_local_Osup__left__idem)). 18.87/19.13 thf(29,axiom,(![X:a,B:a,A:a]: (((less_eq@X)@B) => ((less_eq@X)@((sup@A)@B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_local_Ole__supI2)). 18.87/19.13 thf(30,axiom,((^[Y3:a,Z3:a]: (Y3 = Z3)) = (^[A3:a,B2:a]: (((less_eq@A3)@B2) & ((less_eq@B2)@A3)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_local_Oorder_Oeq__iff)). 18.87/19.13 thf(31,axiom,(![A:a,B:a]: ((less_eq@A)@((sup@A)@B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_local_Osup_Ocobounded1)). 18.87/19.13 thf(35,axiom,(![B:a,A:a]: (((less_eq@B)@A) => (A = ((sup@A)@B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_local_Osup_OorderE)). 18.87/19.13 thf(38,axiom,(![X:a,Y:a,Z:a]: (((inf@X)@((inf@Y)@Z)) = ((inf@Y)@((inf@X)@Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_local_Oinf__left__commute)). 18.87/19.13 thf(39,axiom,(![X:a,Y:a]: (((less_eq@X)@Y) = (((sup@X)@Y) = Y))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112_local_Ole__iff__sup)). 18.87/19.13 thf(42,axiom,(![F:(a>(a>a)),X:a,Y:a]: ((![X2:a,Y2:a]: ((less_eq@((F@X2)@Y2))@X2)) => ((![X2:a,Y2:a]: ((less_eq@((F@X2)@Y2))@Y2)) => ((![X2:a,Y2:a,Z2:a]: (((less_eq@X2)@Y2) => (((less_eq@X2)@Z2) => ((less_eq@X2)@((F@Y2)@Z2))))) => (((inf@X)@Y) = ((F@X)@Y)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_local_Oinf__unique)). 18.87/19.13 thf(43,axiom,(![A:a,B:a,C:a]: ((((less_eq@A)@C) <= ((less_eq@B)@C)) <= ((less_eq@A)@B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_local_Oorder_Otrans)). 18.87/19.13 thf(44,axiom,(![B:a,A:a]: (((less_eq@B)@A) = (A = ((sup@A)@B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_local_Osup_Oorder__iff)). 18.87/19.13 thf(45,axiom,(![A:a,B:a,C:a]: (((sup@((sup@A)@B))@C) = ((sup@A)@((sup@B)@C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_local_Osup_Oassoc)). 18.87/19.13 thf(46,axiom,(![A:a,B:a,C:a]: ((~ (((less_eq@A)@B) => (~ ((less_eq@A)@C)))) <= ((less_eq@A)@((inf@B)@C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_local_Oinf_OboundedE)). 18.87/19.13 thf(47,axiom,(![X:a,Y:a]: (((inf@X)@((inf@X)@Y)) = ((inf@X)@Y))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_local_Oinf__left__idem)). 18.87/19.13 thf(50,axiom,(![X:a,Y:a,Z:a]: (((sup@X)@((sup@Y)@Z)) = ((sup@Y)@((sup@X)@Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_local_Osup__left__commute)). 18.87/19.13 thf(53,axiom,(transp_a@less_eq),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_135_local_Otransp__le)). 18.87/19.13 thf(54,axiom,(![F:(a>(a>a))]: ((abel_semigroup_a@F) <= (semilattice_a@F))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_semilattice_Oaxioms_I1_J)). 18.87/19.13 thf(55,axiom,(![A:a,B:a]: (((less_eq@A)@B) = (((inf@A)@B) = A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_local_Oinf_Oabsorb__iff1)). 18.87/19.13 thf(58,axiom,(![A:a,B:a]: ((less_eq@((inf@A)@B))@B)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_local_Oinf_Ocobounded2)). 18.87/19.13 thf(59,axiom,(![A:a,X:a,B:a]: (((less_eq@A)@X) => (((less_eq@((sup@A)@B))@X) <= ((less_eq@B)@X)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_local_Ole__supI)). 18.87/19.13 thf(62,axiom,(![A:a,X:a,B:a]: (((less_eq@((inf@A)@B))@X) <= ((less_eq@A)@X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_local_Ole__infI1)). 18.87/19.13 thf(68,axiom,(![X:a]: (((inf@X)@X) = X)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_local_Oinf__idem)). 18.87/19.13 thf(72,axiom,(![A:a,B:a,C:a]: ((((((modula1144073633_aux_a@inf)@sup)@A)@B)@C) = ((inf@((inf@((sup@A)@B))@((sup@B)@C)))@((sup@C)@A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_e__aux__def)). 18.87/19.13 thf(75,axiom,(![B:a,C:a,A:a]: ((((((modula1936294176_aux_a@inf)@sup)@B)@C)@A) = (((((modula1936294176_aux_a@inf)@sup)@A)@B)@C))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_d__b__c__a)). 18.87/19.13 thf(77,axiom,(![X:a,Y:a,Z:a]: (((inf@((inf@X)@Y))@Z) = ((inf@X)@((inf@Y)@Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_local_Oinf__assoc)). 18.87/19.13 thf(79,axiom,(![X:a,Y:a]: (((inf@X)@((sup@X)@Y)) = X)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_local_Oinf__sup__absorb)). 18.87/19.13 thf(80,axiom,(![X:a,Y:a]: (((less_eq@X)@Y) => (((sup@X)@Y) = Y))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_local_Osup__absorb2)). 18.87/19.13 thf(84,axiom,(![A:a]: ((less_eq@A)@A)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_local_Oorder_Orefl)). 18.87/19.13 thf(86,axiom,(![B:a,A:a,C:a]: (((inf@B)@((inf@A)@C)) = ((inf@A)@((inf@B)@C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_local_Oinf_Oleft__commute)). 18.87/19.13 thf(88,axiom,(![A:a]: (((inf@A)@A) = A)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_local_Oinf_Oidem)). 18.87/19.13 thf(90,axiom,(![X:a,Y:a]: (((X = Y) <= ((less_eq@Y)@X)) <= ((less_eq@X)@Y))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_local_Oantisym)). 18.87/19.13 thf(93,axiom,(![P:(a>$o),X:a,Q:(a>$o)]: ((P@X) => (((![X2:a]: ((P@X2) => ((![Y5:a]: (((less_eq@Y5)@X2) <= (P@Y5))) => (Q@X2)))) => (Q@((greatest_a@less_eq)@P))) <= (![Y2:a]: ((P@Y2) => ((less_eq@Y2)@X)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_local_OGreatestI2__order)). 18.87/19.13 thf(94,axiom,(![B:a,C:a,A:a]: (((less_eq@((sup@B)@C))@A) => (~ (((less_eq@B)@A) => (~ ((less_eq@C)@A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_local_Osup_OboundedE)). 18.87/19.13 thf(95,axiom,(semigroup_a@sup),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_local_Osup_Osemigroup__axioms)). 18.87/19.13 thf(96,axiom,(![A:a,B:a]: ((((less_eq@B)@A) => (A = B)) <= ((less_eq@A)@B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_local_Oorder_Oantisym)). 18.87/19.13 thf(97,axiom,(modula1144073633_aux_a = modula1144073633_aux_a),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_lattice_Oe__aux_Ocong)). 18.87/19.13 thf(98,axiom,(![X:a,Y:a]: (((less_eq@X)@Y) => (((inf@X)@Y) = X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_local_Oinf__absorb1)). 18.87/19.13 thf(100,axiom,(![A:a,B:a]: ((A = ((inf@A)@B)) => ((less_eq@A)@B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_local_Oinf_OorderI)). 18.87/19.13 thf(102,axiom,(![B:a,A:a]: ((less_eq@B)@((sup@A)@B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_local_Osup_Ocobounded2)). 18.87/19.13 thf(103,axiom,(![F:(a>(a>a))]: ((semilattice_a@F) => (lattic1885654924_set_a@F))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_130_semilattice__set_Ointro)). 18.87/19.13 thf(105,axiom,(![X:a,Y:a]: (((less_eq@X)@Y) <= (X = Y))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_local_Oeq__refl)). 18.87/19.13 thf(107,axiom,(![A:a,B:a]: (((less_eq@A)@B) => (((sup@A)@B) = B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_local_Osup_Oabsorb2)). 18.87/19.13 thf(111,axiom,(![X:a,Y:a]: (((sup@X)@((inf@X)@Y)) = X)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_local_Osup__inf__absorb)). 18.87/19.13 thf(112,axiom,(![X:a,Y:a,Z:a]: (((less_eq@X)@Y) => (((less_eq@Y)@Z) => ((less_eq@X)@Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_local_Oorder__trans)). 18.87/19.13 thf(115,axiom,(![F:(a>(a>a)),A:a,B:a,C:a]: ((semigroup_a@F) => (((F@((F@A)@B))@C) = ((F@A)@((F@B)@C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_semigroup_Oassoc)). 18.87/19.13 thf(118,axiom,(![B:a,A:a]: ((((sup@A)@B) = A) <= ((less_eq@B)@A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_local_Osup_Oabsorb1)). 18.87/19.13 thf(123,axiom,(![B:a,A:a]: (((less_eq@B)@A) = (((inf@A)@B) = B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_local_Oinf_Oabsorb__iff2)). 18.87/19.13 thf(124,axiom,(![X:a,Y:a,Z:a]: ((less_eq@((sup@((inf@X)@Y))@((inf@X)@Z)))@((inf@X)@((sup@Y)@Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_local_Odistrib__inf__le)). 18.87/19.13 thf(125,axiom,(modula1936294176_aux_a = modula1936294176_aux_a),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_127_lattice_Od__aux_Ocong)). 18.87/19.13 thf(126,axiom,(![P:(a>$o),X:a,Q:(a>$o)]: (((![Y2:a]: (((less_eq@X)@Y2) <= (P@Y2))) => ((![X2:a]: (((Q@X2) <= (![Y5:a]: ((P@Y5) => ((less_eq@X2)@Y5)))) <= (P@X2))) => (Q@((least_a@less_eq)@P)))) <= (P@X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_125_local_OLeastI2__order)). 18.87/19.13 thf(129,axiom,(![F:(a>(a>a)),X:a,Z:a]: ((finite40241356em_a_a@F) => (((F@X)@((F@X)@Z)) = ((F@X)@Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_comp__fun__idem_Ofun__left__idem)). 18.87/19.13 thf(132,axiom,(![F:(a>(a>a))]: ((![A4:a,B3:a,C2:a]: (((F@((F@A4)@B3))@C2) = ((F@A4)@((F@B3)@C2)))) => (semigroup_a@F))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_semigroup_Ointro)). 18.87/19.13 thf(133,axiom,(![B:a,A:a,C:a]: ((((less_eq@C)@B) => ((less_eq@C)@A)) <= ((less_eq@B)@A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_local_Odual__order_Otrans)). 18.87/19.13 thf(134,axiom,(![P:(a>$o)]: ((?[X4:a]: (((P@X4) & (![Y2:a]: (((less_eq@X4)@Y2) <= (P@Y2)))) & (![Y2:a]: (((![Ya:a]: (((less_eq@Y2)@Ya) <= (P@Ya))) & (P@Y2)) => (Y2 = X4))))) => (P@((least_a@less_eq)@P)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_local_OLeast1I)). 18.87/19.13 thf(135,axiom,(![X:a,Y:a,Z:a]: (((less_eq@X)@Y) => (((less_eq@X)@Z) => ((less_eq@X)@((inf@Y)@Z))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_local_Oinf__greatest)). 18.87/19.13 thf(137,axiom,(![A:a,B:a]: ((less_eq@((inf@A)@B))@A)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_local_Oinf_Ocobounded1)). 18.87/19.13 thf(138,axiom,(lattic1885654924_set_a@inf),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_local_OInf__fin_Osemilattice__set__axioms)). 18.87/19.13 thf(141,axiom,(![P:(a>$o),X:a]: ((P@X) => ((![Y2:a]: (((less_eq@X)@Y2) <= (P@Y2))) => (((least_a@less_eq)@P) = X)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_local_OLeast__equality)). 18.87/19.13 thf(142,axiom,(![A:a,B:a,X:a]: ((~ ((~ ((less_eq@B)@X)) <= ((less_eq@A)@X))) <= ((less_eq@((sup@A)@B))@X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_local_Ole__supE)). 18.87/19.13 thf(147,axiom,(![Y:a,X:a]: ((less_eq@Y)@((sup@X)@Y))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_local_Osup__ge2)). 18.87/19.13 thf(148,axiom,(![Y:a,X:a]: ((((inf@X)@Y) = Y) <= ((less_eq@Y)@X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_local_Oinf__absorb2)). 18.87/19.13 thf(149,axiom,(![A:a,B:a,C:a]: ((((less_eq@A)@((inf@B)@C)) <= ((less_eq@A)@C)) <= ((less_eq@A)@B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_local_Oinf_OboundedI)). 18.87/19.13 thf(150,axiom,(![C:a,A:a,D:a,B:a]: ((((less_eq@D)@B) => ((less_eq@((sup@C)@D))@((sup@A)@B))) <= ((less_eq@C)@A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_local_Osup_Omono)). 18.87/19.13 thf(153,axiom,(![A:a,B:a]: (((sup@A)@((sup@A)@B)) = ((sup@A)@B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_local_Osup_Oleft__idem)). 18.87/19.13 thf(155,axiom,(finite40241356em_a_a@inf),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_local_Ocomp__fun__idem__inf)). 18.87/19.13 thf(156,axiom,(![B:a,A:a]: (((less_eq@B)@A) = (((sup@A)@B) = A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_local_Osup_Oabsorb__iff1)). 18.87/19.13 thf(160,axiom,(![X:a,Y:a,Z:a]: (((sup@((sup@X)@Y))@Z) = ((sup@X)@((sup@Y)@Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_local_Osup__assoc)). 18.87/19.13 thf(161,axiom,(lattic1885654924_set_a = semilattice_a),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_129_semilattice__set__def)). 18.87/19.13 thf(162,axiom,(![F:(a>(a>a))]: ((abel_semigroup_a@F) => (semigroup_a@F))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128_abel__semigroup_Oaxioms_I1_J)). 18.87/19.13 thf(163,axiom,(![C:a,A:a,B:a]: ((((((modula1936294176_aux_a@inf)@sup)@C)@A)@B) = (((((modula1936294176_aux_a@inf)@sup)@A)@B)@C))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_d__c__a__b)). 18.87/19.13 thf(164,axiom,(![A:a,B:a]: ((A = ((sup@A)@B)) => ((less_eq@B)@A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_local_Osup_OorderI)). 18.87/19.13 thf(165,axiom,(![F:(a>(a>a))]: ((semilattice_a@F) <= (lattic1885654924_set_a@F))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_semilattice__set_Oaxioms)). 18.87/19.13 thf(167,axiom,(![F:(a>(a>a)),A:a,B:a]: ((((F@A)@B) = ((F@B)@A)) <= (abel_semigroup_a@F))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_abel__semigroup_Ocommute)). 18.87/19.13 thf(171,axiom,(![A:a,B:a,C:a]: ((((((modula1936294176_aux_a@inf)@sup)@A)@B)@C) = ((sup@((sup@((inf@A)@B))@((inf@B)@C)))@((inf@C)@A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_d__aux__def)). 18.87/19.13 thf(172,axiom,(![A:a,B:a]: (((sup@((sup@A)@B))@B) = ((sup@A)@B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_local_Osup_Oright__idem)). 18.87/19.13 thf(173,axiom,(![X:a]: (((sup@X)@X) = X)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_local_Osup__idem)). 18.87/19.13 thf(175,axiom,(![F:(a>(a>a)),A:a,B:a]: ((semilattice_a@F) => (((F@((F@A)@B))@B) = ((F@A)@B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_139_semilattice_Oright__idem)). 18.87/19.13 thf(176,axiom,((^[Y3:a,Z3:a]: (Y3 = Z3)) = (^[X3:a,Y4:a]: (((less_eq@X3)@Y4) & ((less_eq@Y4)@X3)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_local_Oeq__iff)). 18.87/19.13 thf(177,axiom,(![X:a,Y:a]: (((inf@X)@Y) = ((inf@Y)@X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_local_Oinf__commute)). 18.87/19.13 thf(180,axiom,(![B:a,X:a,A:a]: (((less_eq@B)@X) => ((less_eq@((inf@A)@B))@X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_local_Ole__infI2)). 18.87/19.13 thf(182,axiom,(abel_semigroup_a@sup),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_local_Osup_Oabel__semigroup__axioms)). 18.87/19.13 thf(184,axiom,(![A:a,B:a]: (((inf@((inf@A)@B))@B) = ((inf@A)@B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_local_Oinf_Oright__idem)). 18.87/19.13 thf(185,axiom,(semigroup_a = (^[F2:(a>(a>a))]: (![A3:a,B2:a,C3:a]: (((F2@((F2@A3)@B2))@C3) = ((F2@A3)@((F2@B2)@C3)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_semigroup__def)). 18.87/19.13 thf(189,axiom,(lattic1885654924_set_a@sup),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_local_OSup__fin_Osemilattice__set__axioms)). 18.87/19.13 thf(191,axiom,(![A:a,B:a]: ((((((min_a@less_eq)@A)@B) = B) <= (~ ((less_eq@A)@B))) & (((((min_a@less_eq)@A)@B) = A) <= ((less_eq@A)@B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_118_local_Omin__def)). 18.87/19.13 thf(193,axiom,(![A:a,B:a]: ((((((max_a@less_eq)@A)@B) = B) <= ((less_eq@A)@B)) & ((~ ((less_eq@A)@B)) => ((((max_a@less_eq)@A)@B) = A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_local_Omax__def)). 18.87/19.13 thf(194,axiom,(![X:a,A:a,B:a]: ((~ ((~ ((less_eq@X)@B)) <= ((less_eq@X)@A))) <= ((less_eq@X)@((inf@A)@B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_local_Ole__infE)). 18.87/19.13 thf(195,axiom,(![A:a,B:a]: (((less_eq@A)@B) = (A = ((inf@A)@B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_local_Oinf_Oorder__iff)). 18.87/19.13 thf(198,axiom,(semigroup_a@inf),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_local_Oinf_Osemigroup__axioms)). 18.87/19.13 thf(202,axiom,(![F:(a>(a>a)),B:a,A:a,C:a]: ((abel_semigroup_a@F) => (((F@B)@((F@A)@C)) = ((F@A)@((F@B)@C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_138_abel__semigroup_Oleft__commute)). 18.87/19.13 thf(204,axiom,(![A:a,B:a]: (((inf@A)@((inf@A)@B)) = ((inf@A)@B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_local_Oinf_Oleft__idem)). 18.87/19.13 thf(207,axiom,(![F:(a>(a>a)),A:a]: ((semilattice_a@F) => (((F@A)@A) = A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_142_semilattice_Oidem)). 18.87/19.13 thf(208,axiom,(![C:a,B:a,A:a]: (((less_eq@C)@B) => ((less_eq@C)@((sup@A)@B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_local_Osup_OcoboundedI2)). 18.87/19.13 thf(209,axiom,(![F:(a>(a>a)),X:a,Y:a]: ((![X2:a,Y2:a]: ((less_eq@X2)@((F@X2)@Y2))) => (((![X2:a,Y2:a,Z2:a]: ((((less_eq@((F@Y2)@Z2))@X2) <= ((less_eq@Z2)@X2)) <= ((less_eq@Y2)@X2))) => (((sup@X)@Y) = ((F@X)@Y))) <= (![X2:a,Y2:a]: ((less_eq@Y2)@((F@X2)@Y2)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_local_Osup__unique)). 18.87/19.13 thf(211,axiom,(![A:a,B:a]: (((inf@A)@B) = ((inf@B)@A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_local_Oinf_Ocommute)). 18.87/19.13 thf(212,axiom,(![A:a,B:a]: (((less_eq@A)@B) => (((inf@A)@B) = A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_local_Oinf_Oabsorb1)). 18.87/19.13 thf(214,axiom,(![A:a,C:a,B:a,D:a]: (((less_eq@A)@C) => (((less_eq@B)@D) => ((less_eq@((sup@A)@B))@((sup@C)@D))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_local_Osup__mono)). 18.87/19.13 thf(215,axiom,(semilattice_a@inf),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_local_Oinf_Osemilattice__axioms)). 18.87/19.13 thf(217,axiom,(![L:a,H:a,L2:a,H2:a]: (((((set_atLeastAtMost_a@less_eq)@L)@H) = (((set_atLeastAtMost_a@less_eq)@L2)@H2)) = (((~ ((less_eq@L2)@H2)) & (~ ((less_eq@L)@H))) | ((L = L2) & (H = H2))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_257_local_OIcc__eq__Icc)). 18.87/19.13 thf(219,axiom,(![A:a,B:a]: (((sup@A)@B) = ((sup@B)@A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_local_Osup_Ocommute)). 18.87/19.13 thf(223,axiom,(![A:a,B:a]: ((A = ((inf@A)@B)) <= ((less_eq@A)@B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_local_Oinf_OorderE)). 18.87/19.13 thf(224,axiom,(![X:a,Y:a]: (((sup@X)@Y) = ((sup@Y)@X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_local_Osup__commute)). 18.87/19.13 thf(225,axiom,(![B:a,A:a,C:a]: (((less_eq@B)@A) => (((less_eq@C)@A) => ((less_eq@((sup@B)@C))@A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_local_Osup_OboundedI)). 18.87/19.13 thf(228,axiom,(![P:(a>$o),X:a]: ((P@X) => ((![Y2:a]: ((P@Y2) => ((less_eq@Y2)@X))) => (((greatest_a@less_eq)@P) = X)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116_local_OGreatest__equality)). 18.87/19.13 thf(229,axiom,(![F:(a>(a>a)),A:a,B:a]: ((semilattice_a@F) => (((F@A)@((F@A)@B)) = ((F@A)@B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_140_semilattice_Oleft__idem)). 18.87/19.13 thf(232,axiom,(abel_semigroup_a@inf),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_local_Oinf_Oabel__semigroup__axioms)). 18.87/19.13 thf(233,axiom,(![X:a,Y:a]: (((inf@((inf@X)@Y))@Y) = ((inf@X)@Y))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_local_Oinf__right__idem)). 18.87/19.13 thf(236,axiom,(![X:a,Y:a,Z:a]: (((less_eq@((sup@X)@Y))@Z) = (((less_eq@Y)@Z) & ((less_eq@X)@Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_local_Ole__sup__iff)). 18.87/19.13 thf(238,axiom,(![B:a,A:a,C:a]: (((sup@B)@((sup@A)@C)) = ((sup@A)@((sup@B)@C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_local_Osup_Oleft__commute)). 18.87/19.13 thf(239,axiom,(![B:a,A:a]: (((less_eq@B)@A) => ((A = B) <= ((less_eq@A)@B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_local_Odual__order_Oantisym)). 18.87/19.13 thf(240,axiom,(![X:a,Y:a,Z:a]: (((less_eq@X)@((inf@Y)@Z)) = (((less_eq@X)@Y) & ((less_eq@X)@Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_local_Ole__inf__iff)). 18.87/19.13 thf(241,axiom,(![A:a,B:a,C:a]: (((inf@((inf@A)@B))@C) = ((inf@A)@((inf@B)@C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_local_Oinf_Oassoc)). 18.87/19.13 thf(242,axiom,(![B:a,C:a,A:a]: (((less_eq@B)@C) => ((less_eq@((inf@A)@B))@C))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_local_Oinf_OcoboundedI2)). 18.87/19.13 thf(247,axiom,(![B:a,C:a,A:a]: (((less_eq@((sup@B)@C))@A) = (((less_eq@C)@A) & ((less_eq@B)@A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_121_local_Osup_Obounded__iff)). 18.87/19.13 thf(248,axiom,(![X:a,A:a,B:a]: (((less_eq@X)@((sup@A)@B)) <= ((less_eq@X)@A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_local_Ole__supI1)). 18.87/19.13 thf(249,axiom,(![A:a,C:a,B:a,D:a]: ((((less_eq@B)@D) => ((less_eq@((inf@A)@B))@((inf@C)@D))) <= ((less_eq@A)@C))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_local_Oinf__mono)). 18.87/19.13 thf(250,axiom,(![A:a,B:a,C:a]: (((less_eq@A)@((inf@B)@C)) = (((less_eq@A)@C) & ((less_eq@A)@B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_120_local_Oinf_Obounded__iff)). 18.87/19.13 thf(251,axiom,(![A:a,B:a,C:a]: ((((less_eq@A)@C) <= ((less_eq@B)@C)) <= (A = B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_local_Oord__eq__le__trans)). 18.87/19.13 thf(252,axiom,(![C:a,A:a,B:a]: (((less_eq@C)@((sup@A)@B)) <= ((less_eq@C)@A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_local_Osup_OcoboundedI1)). 18.87/19.13 thf(253,axiom,(![X:a,Y:a,Z:a]: ((![X2:a,Y2:a,Z2:a]: (((inf@X2)@((sup@Y2)@Z2)) = ((sup@((inf@X2)@Y2))@((inf@X2)@Z2)))) => (((sup@X)@((inf@Y)@Z)) = ((inf@((sup@X)@Y))@((sup@X)@Z))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_local_Odistrib__imp1)). 18.87/19.13 thf(258,axiom,(![X:a,Y:a,Z:a]: ((((inf@X)@((sup@Y)@Z)) = ((sup@((inf@X)@Y))@((inf@X)@Z))) <= (![X2:a,Y2:a,Z2:a]: (((sup@X2)@((inf@Y2)@Z2)) = ((inf@((sup@X2)@Y2))@((sup@X2)@Z2)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_local_Odistrib__imp2)). 18.87/19.13 thf(259,axiom,((^[Y3:a,Z3:a]: (Y3 = Z3)) = (^[A3:a,B2:a]: (((less_eq@B2)@A3) & ((less_eq@A3)@B2)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_local_Odual__order_Oeq__iff)). 18.87/19.13 thf(262,axiom,(![X:a,Y:a,Z:a]: ((less_eq@((sup@X)@((inf@Y)@Z)))@((inf@((sup@X)@Y))@((sup@X)@Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_local_Odistrib__sup__le)). 18.87/19.13 thf(265,axiom,(![B:a,A:a]: (((less_eq@B)@A) => (((inf@A)@B) = B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_local_Oinf_Oabsorb2)). 18.87/19.13 thf(271,conjecture,((((((modula1144073633_aux_a@inf)@sup)@b)@c)@a2) = (((((modula1144073633_aux_a@inf)@sup)@a2)@b)@c)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 18.87/19.13 thf(272,negated_conjecture,((((((((modula1144073633_aux_a@inf)@sup)@b)@c)@a2) = (((((modula1144073633_aux_a@inf)@sup)@a2)@b)@c))=$false)),inference(negate_conjecture,[status(cth)],[271])). 18.87/19.13 thf(273,plain,((((((((modula1144073633_aux_a@inf)@sup)@b)@c)@a2) = (((((modula1144073633_aux_a@inf)@sup)@a2)@b)@c))=$false)),inference(unfold_def,[status(thm)],[272])). 18.87/19.13 thf(274,plain,(((![X:a]: ((less_eq@X)@X))=$true)),inference(unfold_def,[status(thm)],[7])). 18.87/19.13 thf(275,plain,(((![P:(a>$o),Z:a]: ((((less_eq@((least_a@less_eq)@P))@Z) <= (P@Z)) <= (?[X4:a]: (((P@X4) & (![Y2:a]: (((less_eq@X4)@Y2) <= (P@Y2)))) & (![Y2:a]: (((P@Y2) & (![Ya:a]: (((less_eq@Y2)@Ya) <= (P@Ya)))) => (Y2 = X4)))))))=$true)),inference(unfold_def,[status(thm)],[9])). 18.87/19.13 thf(276,plain,(((![Y:a,X:a]: ((((less_eq@X)@Y) = (X = Y)) <= ((less_eq@Y)@X)))=$true)),inference(unfold_def,[status(thm)],[10])). 18.87/19.13 thf(277,plain,(((![A:a,B:a,C:a]: (((less_eq@A)@B) => (((less_eq@A)@C) <= (B = C))))=$true)),inference(unfold_def,[status(thm)],[22])). 18.87/19.13 thf(278,plain,((((^[Y3:a,Z3:a]: (Y3 = Z3)) = (^[A3:a,B2:a]: (((less_eq@A3)@B2) & ((less_eq@B2)@A3))))=$true)),inference(unfold_def,[status(thm)],[30])). 18.87/19.13 thf(279,plain,(((![A:a,B:a,C:a]: ((((less_eq@A)@C) <= ((less_eq@B)@C)) <= ((less_eq@A)@B)))=$true)),inference(unfold_def,[status(thm)],[43])). 18.87/19.13 thf(280,plain,(((transp_a@less_eq)=$true)),inference(unfold_def,[status(thm)],[53])). 18.87/19.13 thf(281,plain,(((![F:(a>(a>a))]: ((abel_semigroup_a@F) <= (semilattice_a@F)))=$true)),inference(unfold_def,[status(thm)],[54])). 18.87/19.13 thf(282,plain,(((![A:a]: ((less_eq@A)@A))=$true)),inference(unfold_def,[status(thm)],[84])). 18.87/19.13 thf(283,plain,(((![X:a,Y:a]: (((X = Y) <= ((less_eq@Y)@X)) <= ((less_eq@X)@Y)))=$true)),inference(unfold_def,[status(thm)],[90])). 18.87/19.13 thf(284,plain,(((![P:(a>$o),X:a,Q:(a>$o)]: ((P@X) => (((![X2:a]: ((P@X2) => ((![Y5:a]: (((less_eq@Y5)@X2) <= (P@Y5))) => (Q@X2)))) => (Q@((greatest_a@less_eq)@P))) <= (![Y2:a]: ((P@Y2) => ((less_eq@Y2)@X))))))=$true)),inference(unfold_def,[status(thm)],[93])). 18.87/19.13 thf(285,plain,(((![A:a,B:a]: ((((less_eq@B)@A) => (A = B)) <= ((less_eq@A)@B)))=$true)),inference(unfold_def,[status(thm)],[96])). 18.87/19.13 thf(286,plain,(((![F:(a>(a>a))]: ((semilattice_a@F) => (lattic1885654924_set_a@F)))=$true)),inference(unfold_def,[status(thm)],[103])). 18.87/19.13 thf(287,plain,(((![X:a,Y:a]: (((less_eq@X)@Y) <= (X = Y)))=$true)),inference(unfold_def,[status(thm)],[105])). 18.87/19.13 thf(288,plain,(((![X:a,Y:a,Z:a]: (((less_eq@X)@Y) => (((less_eq@Y)@Z) => ((less_eq@X)@Z))))=$true)),inference(unfold_def,[status(thm)],[112])). 18.87/19.13 thf(289,plain,(((![F:(a>(a>a)),A:a,B:a,C:a]: ((semigroup_a@F) => (((F@((F@A)@B))@C) = ((F@A)@((F@B)@C)))))=$true)),inference(unfold_def,[status(thm)],[115])). 18.87/19.13 thf(290,plain,(((modula1936294176_aux_a = modula1936294176_aux_a)=$true)),inference(unfold_def,[status(thm)],[125])). 18.87/19.13 thf(291,plain,(((![P:(a>$o),X:a,Q:(a>$o)]: (((![Y2:a]: (((less_eq@X)@Y2) <= (P@Y2))) => ((![X2:a]: (((Q@X2) <= (![Y5:a]: ((P@Y5) => ((less_eq@X2)@Y5)))) <= (P@X2))) => (Q@((least_a@less_eq)@P)))) <= (P@X)))=$true)),inference(unfold_def,[status(thm)],[126])). 18.87/19.13 thf(292,plain,(((![F:(a>(a>a)),X:a,Z:a]: ((finite40241356em_a_a@F) => (((F@X)@((F@X)@Z)) = ((F@X)@Z))))=$true)),inference(unfold_def,[status(thm)],[129])). 18.87/19.13 thf(293,plain,(((![F:(a>(a>a))]: ((![A4:a,B3:a,C2:a]: (((F@((F@A4)@B3))@C2) = ((F@A4)@((F@B3)@C2)))) => (semigroup_a@F)))=$true)),inference(unfold_def,[status(thm)],[132])). 18.87/19.13 thf(294,plain,(((![B:a,A:a,C:a]: ((((less_eq@C)@B) => ((less_eq@C)@A)) <= ((less_eq@B)@A)))=$true)),inference(unfold_def,[status(thm)],[133])). 18.87/19.13 thf(295,plain,(((![P:(a>$o)]: ((?[X4:a]: (((P@X4) & (![Y2:a]: (((less_eq@X4)@Y2) <= (P@Y2)))) & (![Y2:a]: (((![Ya:a]: (((less_eq@Y2)@Ya) <= (P@Ya))) & (P@Y2)) => (Y2 = X4))))) => (P@((least_a@less_eq)@P))))=$true)),inference(unfold_def,[status(thm)],[134])). 18.87/19.13 thf(296,plain,(((![P:(a>$o),X:a]: ((P@X) => ((![Y2:a]: (((less_eq@X)@Y2) <= (P@Y2))) => (((least_a@less_eq)@P) = X))))=$true)),inference(unfold_def,[status(thm)],[141])). 18.87/19.13 thf(297,plain,(((lattic1885654924_set_a = semilattice_a)=$true)),inference(unfold_def,[status(thm)],[161])). 18.87/19.13 thf(298,plain,(((![F:(a>(a>a))]: ((abel_semigroup_a@F) => (semigroup_a@F)))=$true)),inference(unfold_def,[status(thm)],[162])). 18.87/19.13 thf(299,plain,(((![F:(a>(a>a))]: ((semilattice_a@F) <= (lattic1885654924_set_a@F)))=$true)),inference(unfold_def,[status(thm)],[165])). 18.87/19.13 thf(300,plain,(((![F:(a>(a>a)),A:a,B:a]: ((((F@A)@B) = ((F@B)@A)) <= (abel_semigroup_a@F)))=$true)),inference(unfold_def,[status(thm)],[167])). 18.87/19.13 thf(301,plain,(((![F:(a>(a>a)),A:a,B:a]: ((semilattice_a@F) => (((F@((F@A)@B))@B) = ((F@A)@B))))=$true)),inference(unfold_def,[status(thm)],[175])). 18.87/19.13 thf(302,plain,((((^[Y3:a,Z3:a]: (Y3 = Z3)) = (^[X3:a,Y4:a]: (((less_eq@X3)@Y4) & ((less_eq@Y4)@X3))))=$true)),inference(unfold_def,[status(thm)],[176])). 18.87/19.13 thf(303,plain,(((semigroup_a = (^[F2:(a>(a>a))]: (![A3:a,B2:a,C3:a]: (((F2@((F2@A3)@B2))@C3) = ((F2@A3)@((F2@B2)@C3))))))=$true)),inference(unfold_def,[status(thm)],[185])). 18.87/19.13 thf(304,plain,(((![A:a,B:a]: ((((((min_a@less_eq)@A)@B) = B) <= (~ ((less_eq@A)@B))) & (((((min_a@less_eq)@A)@B) = A) <= ((less_eq@A)@B))))=$true)),inference(unfold_def,[status(thm)],[191])). 18.87/19.13 thf(305,plain,(((![A:a,B:a]: ((((((max_a@less_eq)@A)@B) = B) <= ((less_eq@A)@B)) & ((~ ((less_eq@A)@B)) => ((((max_a@less_eq)@A)@B) = A))))=$true)),inference(unfold_def,[status(thm)],[193])). 18.87/19.13 thf(306,plain,(((![F:(a>(a>a)),B:a,A:a,C:a]: ((abel_semigroup_a@F) => (((F@B)@((F@A)@C)) = ((F@A)@((F@B)@C)))))=$true)),inference(unfold_def,[status(thm)],[202])). 18.87/19.13 thf(307,plain,(((![F:(a>(a>a)),A:a]: ((semilattice_a@F) => (((F@A)@A) = A)))=$true)),inference(unfold_def,[status(thm)],[207])). 18.87/19.13 thf(308,plain,(((![L:a,H:a,L2:a,H2:a]: (((((set_atLeastAtMost_a@less_eq)@L)@H) = (((set_atLeastAtMost_a@less_eq)@L2)@H2)) = (((~ ((less_eq@L2)@H2)) & (~ ((less_eq@L)@H))) | ((L = L2) & (H = H2)))))=$true)),inference(unfold_def,[status(thm)],[217])). 18.87/19.13 thf(309,plain,(((![P:(a>$o),X:a]: ((P@X) => ((![Y2:a]: ((P@Y2) => ((less_eq@Y2)@X))) => (((greatest_a@less_eq)@P) = X))))=$true)),inference(unfold_def,[status(thm)],[228])). 18.87/19.13 thf(310,plain,(((![F:(a>(a>a)),A:a,B:a]: ((semilattice_a@F) => (((F@A)@((F@A)@B)) = ((F@A)@B))))=$true)),inference(unfold_def,[status(thm)],[229])). 18.87/19.13 thf(311,plain,(((![B:a,A:a]: (((less_eq@B)@A) => ((A = B) <= ((less_eq@A)@B))))=$true)),inference(unfold_def,[status(thm)],[239])). 18.87/19.13 thf(312,plain,(((![A:a,B:a,C:a]: ((((less_eq@A)@C) <= ((less_eq@B)@C)) <= (A = B)))=$true)),inference(unfold_def,[status(thm)],[251])). 18.87/19.13 thf(313,plain,((((^[Y3:a,Z3:a]: (Y3 = Z3)) = (^[A3:a,B2:a]: (((less_eq@B2)@A3) & ((less_eq@A3)@B2))))=$true)),inference(unfold_def,[status(thm)],[259])). 18.87/19.13 thf(314,plain,(((![X:a,A:a,B:a]: (((less_eq@X)@A) => (((less_eq@X)@((inf@A)@B)) <= ((less_eq@X)@B))))=$true)),inference(unfold_def,[status(thm)],[1])). 18.87/19.13 thf(315,plain,(((finite40241356em_a_a@sup)=$true)),inference(unfold_def,[status(thm)],[2])). 18.87/19.13 thf(316,plain,(((![X:a,Y:a]: ((less_eq@((inf@X)@Y))@X))=$true)),inference(unfold_def,[status(thm)],[5])). 18.87/19.13 thf(317,plain,(((![X:a,Y:a]: (((less_eq@X)@Y) = (((inf@X)@Y) = X)))=$true)),inference(unfold_def,[status(thm)],[8])). 18.87/19.13 thf(318,plain,(((![A:a,B:a]: (((less_eq@A)@B) = (((sup@A)@B) = B)))=$true)),inference(unfold_def,[status(thm)],[12])). 18.87/19.13 thf(319,plain,(((![Y:a,X:a]: (((less_eq@Y)@X) => (((sup@X)@Y) = X)))=$true)),inference(unfold_def,[status(thm)],[14])). 18.87/19.13 thf(320,plain,(((![A:a]: (((sup@A)@A) = A))=$true)),inference(unfold_def,[status(thm)],[15])). 18.87/19.13 thf(321,plain,(((![X:a,Y:a]: ((less_eq@X)@((sup@X)@Y)))=$true)),inference(unfold_def,[status(thm)],[16])). 18.87/19.13 thf(322,plain,(((![X:a,Y:a]: ((less_eq@((inf@X)@Y))@Y))=$true)),inference(unfold_def,[status(thm)],[18])). 18.87/19.13 thf(323,plain,(((![Y:a,X:a,Z:a]: (((less_eq@Y)@X) => (((less_eq@((sup@Y)@Z))@X) <= ((less_eq@Z)@X))))=$true)),inference(unfold_def,[status(thm)],[19])). 18.87/19.13 thf(324,plain,(((semilattice_a@sup)=$true)),inference(unfold_def,[status(thm)],[20])). 18.87/19.13 thf(325,plain,(((![A:a,C:a,B:a]: (((less_eq@A)@C) => ((less_eq@((inf@A)@B))@C)))=$true)),inference(unfold_def,[status(thm)],[23])). 18.87/19.13 thf(326,plain,(((![X:a,Y:a]: (((sup@X)@((sup@X)@Y)) = ((sup@X)@Y)))=$true)),inference(unfold_def,[status(thm)],[28])). 18.87/19.13 thf(327,plain,(((![X:a,B:a,A:a]: (((less_eq@X)@B) => ((less_eq@X)@((sup@A)@B))))=$true)),inference(unfold_def,[status(thm)],[29])). 18.87/19.13 thf(328,plain,(((![A:a,B:a]: ((less_eq@A)@((sup@A)@B)))=$true)),inference(unfold_def,[status(thm)],[31])). 18.87/19.13 thf(329,plain,(((![B:a,A:a]: (((less_eq@B)@A) => (A = ((sup@A)@B))))=$true)),inference(unfold_def,[status(thm)],[35])). 18.87/19.13 thf(330,plain,(((![X:a,Y:a,Z:a]: (((inf@X)@((inf@Y)@Z)) = ((inf@Y)@((inf@X)@Z))))=$true)),inference(unfold_def,[status(thm)],[38])). 18.87/19.13 thf(331,plain,(((![X:a,Y:a]: (((less_eq@X)@Y) = (((sup@X)@Y) = Y)))=$true)),inference(unfold_def,[status(thm)],[39])). 18.87/19.13 thf(332,plain,(((![F:(a>(a>a)),X:a,Y:a]: ((![X2:a,Y2:a]: ((less_eq@((F@X2)@Y2))@X2)) => ((![X2:a,Y2:a]: ((less_eq@((F@X2)@Y2))@Y2)) => ((![X2:a,Y2:a,Z2:a]: (((less_eq@X2)@Y2) => (((less_eq@X2)@Z2) => ((less_eq@X2)@((F@Y2)@Z2))))) => (((inf@X)@Y) = ((F@X)@Y))))))=$true)),inference(unfold_def,[status(thm)],[42])). 18.87/19.13 thf(333,plain,(((![B:a,A:a]: (((less_eq@B)@A) = (A = ((sup@A)@B))))=$true)),inference(unfold_def,[status(thm)],[44])). 18.87/19.13 thf(334,plain,(((![A:a,B:a,C:a]: (((sup@((sup@A)@B))@C) = ((sup@A)@((sup@B)@C))))=$true)),inference(unfold_def,[status(thm)],[45])). 18.87/19.13 thf(335,plain,(((![A:a,B:a,C:a]: ((~ (((less_eq@A)@B) => (~ ((less_eq@A)@C)))) <= ((less_eq@A)@((inf@B)@C))))=$true)),inference(unfold_def,[status(thm)],[46])). 18.87/19.13 thf(336,plain,(((![X:a,Y:a]: (((inf@X)@((inf@X)@Y)) = ((inf@X)@Y)))=$true)),inference(unfold_def,[status(thm)],[47])). 18.87/19.13 thf(337,plain,(((![X:a,Y:a,Z:a]: (((sup@X)@((sup@Y)@Z)) = ((sup@Y)@((sup@X)@Z))))=$true)),inference(unfold_def,[status(thm)],[50])). 18.87/19.13 thf(338,plain,(((![A:a,B:a]: (((less_eq@A)@B) = (((inf@A)@B) = A)))=$true)),inference(unfold_def,[status(thm)],[55])). 18.87/19.13 thf(339,plain,(((![A:a,B:a]: ((less_eq@((inf@A)@B))@B))=$true)),inference(unfold_def,[status(thm)],[58])). 18.87/19.13 thf(340,plain,(((![A:a,X:a,B:a]: (((less_eq@A)@X) => (((less_eq@((sup@A)@B))@X) <= ((less_eq@B)@X))))=$true)),inference(unfold_def,[status(thm)],[59])). 18.87/19.13 thf(341,plain,(((![A:a,X:a,B:a]: (((less_eq@((inf@A)@B))@X) <= ((less_eq@A)@X)))=$true)),inference(unfold_def,[status(thm)],[62])). 18.87/19.13 thf(342,plain,(((![X:a]: (((inf@X)@X) = X))=$true)),inference(unfold_def,[status(thm)],[68])). 18.87/19.13 thf(343,plain,(((![A:a,B:a,C:a]: ((((((modula1144073633_aux_a@inf)@sup)@A)@B)@C) = ((inf@((inf@((sup@A)@B))@((sup@B)@C)))@((sup@C)@A))))=$true)),inference(unfold_def,[status(thm)],[72])). 18.87/19.13 thf(344,plain,(((![B:a,C:a,A:a]: ((((((modula1936294176_aux_a@inf)@sup)@B)@C)@A) = (((((modula1936294176_aux_a@inf)@sup)@A)@B)@C)))=$true)),inference(unfold_def,[status(thm)],[75])). 18.87/19.13 thf(345,plain,(((![X:a,Y:a,Z:a]: (((inf@((inf@X)@Y))@Z) = ((inf@X)@((inf@Y)@Z))))=$true)),inference(unfold_def,[status(thm)],[77])). 18.87/19.13 thf(346,plain,(((![X:a,Y:a]: (((inf@X)@((sup@X)@Y)) = X))=$true)),inference(unfold_def,[status(thm)],[79])). 18.87/19.13 thf(347,plain,(((![X:a,Y:a]: (((less_eq@X)@Y) => (((sup@X)@Y) = Y)))=$true)),inference(unfold_def,[status(thm)],[80])). 18.87/19.13 thf(348,plain,(((![B:a,A:a,C:a]: (((inf@B)@((inf@A)@C)) = ((inf@A)@((inf@B)@C))))=$true)),inference(unfold_def,[status(thm)],[86])). 18.87/19.13 thf(349,plain,(((![A:a]: (((inf@A)@A) = A))=$true)),inference(unfold_def,[status(thm)],[88])). 18.87/19.13 thf(350,plain,(((![B:a,C:a,A:a]: (((less_eq@((sup@B)@C))@A) => (~ (((less_eq@B)@A) => (~ ((less_eq@C)@A))))))=$true)),inference(unfold_def,[status(thm)],[94])). 18.87/19.13 thf(351,plain,(((semigroup_a@sup)=$true)),inference(unfold_def,[status(thm)],[95])). 18.87/19.13 thf(352,plain,(((modula1144073633_aux_a = modula1144073633_aux_a)=$true)),inference(unfold_def,[status(thm)],[97])). 18.87/19.13 thf(353,plain,(((![X:a,Y:a]: (((less_eq@X)@Y) => (((inf@X)@Y) = X)))=$true)),inference(unfold_def,[status(thm)],[98])). 18.87/19.13 thf(354,plain,(((![A:a,B:a]: ((A = ((inf@A)@B)) => ((less_eq@A)@B)))=$true)),inference(unfold_def,[status(thm)],[100])). 18.87/19.13 thf(355,plain,(((![B:a,A:a]: ((less_eq@B)@((sup@A)@B)))=$true)),inference(unfold_def,[status(thm)],[102])). 18.87/19.13 thf(356,plain,(((![A:a,B:a]: (((less_eq@A)@B) => (((sup@A)@B) = B)))=$true)),inference(unfold_def,[status(thm)],[107])). 18.87/19.13 thf(357,plain,(((![X:a,Y:a]: (((sup@X)@((inf@X)@Y)) = X))=$true)),inference(unfold_def,[status(thm)],[111])). 18.87/19.13 thf(358,plain,(((![B:a,A:a]: ((((sup@A)@B) = A) <= ((less_eq@B)@A)))=$true)),inference(unfold_def,[status(thm)],[118])). 18.87/19.13 thf(359,plain,(((![B:a,A:a]: (((less_eq@B)@A) = (((inf@A)@B) = B)))=$true)),inference(unfold_def,[status(thm)],[123])). 18.87/19.13 thf(360,plain,(((![X:a,Y:a,Z:a]: ((less_eq@((sup@((inf@X)@Y))@((inf@X)@Z)))@((inf@X)@((sup@Y)@Z))))=$true)),inference(unfold_def,[status(thm)],[124])). 18.87/19.13 thf(361,plain,(((![X:a,Y:a,Z:a]: (((less_eq@X)@Y) => (((less_eq@X)@Z) => ((less_eq@X)@((inf@Y)@Z)))))=$true)),inference(unfold_def,[status(thm)],[135])). 18.87/19.13 thf(362,plain,(((![A:a,B:a]: ((less_eq@((inf@A)@B))@A))=$true)),inference(unfold_def,[status(thm)],[137])). 18.87/19.13 thf(363,plain,(((lattic1885654924_set_a@inf)=$true)),inference(unfold_def,[status(thm)],[138])). 18.87/19.13 thf(364,plain,(((![A:a,B:a,X:a]: ((~ ((~ ((less_eq@B)@X)) <= ((less_eq@A)@X))) <= ((less_eq@((sup@A)@B))@X)))=$true)),inference(unfold_def,[status(thm)],[142])). 18.87/19.13 thf(365,plain,(((![Y:a,X:a]: ((less_eq@Y)@((sup@X)@Y)))=$true)),inference(unfold_def,[status(thm)],[147])). 18.87/19.13 thf(366,plain,(((![Y:a,X:a]: ((((inf@X)@Y) = Y) <= ((less_eq@Y)@X)))=$true)),inference(unfold_def,[status(thm)],[148])). 18.87/19.13 thf(367,plain,(((![A:a,B:a,C:a]: ((((less_eq@A)@((inf@B)@C)) <= ((less_eq@A)@C)) <= ((less_eq@A)@B)))=$true)),inference(unfold_def,[status(thm)],[149])). 18.87/19.13 thf(368,plain,(((![C:a,A:a,D:a,B:a]: ((((less_eq@D)@B) => ((less_eq@((sup@C)@D))@((sup@A)@B))) <= ((less_eq@C)@A)))=$true)),inference(unfold_def,[status(thm)],[150])). 18.87/19.13 thf(369,plain,(((![A:a,B:a]: (((sup@A)@((sup@A)@B)) = ((sup@A)@B)))=$true)),inference(unfold_def,[status(thm)],[153])). 18.87/19.13 thf(370,plain,(((finite40241356em_a_a@inf)=$true)),inference(unfold_def,[status(thm)],[155])). 18.87/19.13 thf(371,plain,(((![B:a,A:a]: (((less_eq@B)@A) = (((sup@A)@B) = A)))=$true)),inference(unfold_def,[status(thm)],[156])). 18.87/19.13 thf(372,plain,(((![X:a,Y:a,Z:a]: (((sup@((sup@X)@Y))@Z) = ((sup@X)@((sup@Y)@Z))))=$true)),inference(unfold_def,[status(thm)],[160])). 18.87/19.13 thf(373,plain,(((![C:a,A:a,B:a]: ((((((modula1936294176_aux_a@inf)@sup)@C)@A)@B) = (((((modula1936294176_aux_a@inf)@sup)@A)@B)@C)))=$true)),inference(unfold_def,[status(thm)],[163])). 18.87/19.13 thf(374,plain,(((![A:a,B:a]: ((A = ((sup@A)@B)) => ((less_eq@B)@A)))=$true)),inference(unfold_def,[status(thm)],[164])). 18.87/19.13 thf(375,plain,(((![A:a,B:a,C:a]: ((((((modula1936294176_aux_a@inf)@sup)@A)@B)@C) = ((sup@((sup@((inf@A)@B))@((inf@B)@C)))@((inf@C)@A))))=$true)),inference(unfold_def,[status(thm)],[171])). 18.87/19.13 thf(376,plain,(((![A:a,B:a]: (((sup@((sup@A)@B))@B) = ((sup@A)@B)))=$true)),inference(unfold_def,[status(thm)],[172])). 18.87/19.13 thf(377,plain,(((![X:a]: (((sup@X)@X) = X))=$true)),inference(unfold_def,[status(thm)],[173])). 18.87/19.13 thf(378,plain,(((![X:a,Y:a]: (((inf@X)@Y) = ((inf@Y)@X)))=$true)),inference(unfold_def,[status(thm)],[177])). 18.87/19.13 thf(379,plain,(((![B:a,X:a,A:a]: (((less_eq@B)@X) => ((less_eq@((inf@A)@B))@X)))=$true)),inference(unfold_def,[status(thm)],[180])). 18.87/19.13 thf(380,plain,(((abel_semigroup_a@sup)=$true)),inference(unfold_def,[status(thm)],[182])). 18.87/19.13 thf(381,plain,(((![A:a,B:a]: (((inf@((inf@A)@B))@B) = ((inf@A)@B)))=$true)),inference(unfold_def,[status(thm)],[184])). 18.87/19.13 thf(382,plain,(((lattic1885654924_set_a@sup)=$true)),inference(unfold_def,[status(thm)],[189])). 18.87/19.13 thf(383,plain,(((![X:a,A:a,B:a]: ((~ ((~ ((less_eq@X)@B)) <= ((less_eq@X)@A))) <= ((less_eq@X)@((inf@A)@B))))=$true)),inference(unfold_def,[status(thm)],[194])). 18.87/19.13 thf(384,plain,(((![A:a,B:a]: (((less_eq@A)@B) = (A = ((inf@A)@B))))=$true)),inference(unfold_def,[status(thm)],[195])). 18.87/19.13 thf(385,plain,(((semigroup_a@inf)=$true)),inference(unfold_def,[status(thm)],[198])). 18.87/19.13 thf(386,plain,(((![A:a,B:a]: (((inf@A)@((inf@A)@B)) = ((inf@A)@B)))=$true)),inference(unfold_def,[status(thm)],[204])). 18.87/19.13 thf(387,plain,(((![C:a,B:a,A:a]: (((less_eq@C)@B) => ((less_eq@C)@((sup@A)@B))))=$true)),inference(unfold_def,[status(thm)],[208])). 18.87/19.13 thf(388,plain,(((![F:(a>(a>a)),X:a,Y:a]: ((![X2:a,Y2:a]: ((less_eq@X2)@((F@X2)@Y2))) => (((![X2:a,Y2:a,Z2:a]: ((((less_eq@((F@Y2)@Z2))@X2) <= ((less_eq@Z2)@X2)) <= ((less_eq@Y2)@X2))) => (((sup@X)@Y) = ((F@X)@Y))) <= (![X2:a,Y2:a]: ((less_eq@Y2)@((F@X2)@Y2))))))=$true)),inference(unfold_def,[status(thm)],[209])). 18.87/19.13 thf(389,plain,(((![A:a,B:a]: (((inf@A)@B) = ((inf@B)@A)))=$true)),inference(unfold_def,[status(thm)],[211])). 18.87/19.13 thf(390,plain,(((![A:a,B:a]: (((less_eq@A)@B) => (((inf@A)@B) = A)))=$true)),inference(unfold_def,[status(thm)],[212])). 18.87/19.13 thf(391,plain,(((![A:a,C:a,B:a,D:a]: (((less_eq@A)@C) => (((less_eq@B)@D) => ((less_eq@((sup@A)@B))@((sup@C)@D)))))=$true)),inference(unfold_def,[status(thm)],[214])). 18.87/19.13 thf(392,plain,(((semilattice_a@inf)=$true)),inference(unfold_def,[status(thm)],[215])). 18.87/19.13 thf(393,plain,(((![A:a,B:a]: (((sup@A)@B) = ((sup@B)@A)))=$true)),inference(unfold_def,[status(thm)],[219])). 18.87/19.13 thf(394,plain,(((![A:a,B:a]: ((A = ((inf@A)@B)) <= ((less_eq@A)@B)))=$true)),inference(unfold_def,[status(thm)],[223])). 18.87/19.13 thf(395,plain,(((![X:a,Y:a]: (((sup@X)@Y) = ((sup@Y)@X)))=$true)),inference(unfold_def,[status(thm)],[224])). 18.87/19.13 thf(396,plain,(((![B:a,A:a,C:a]: (((less_eq@B)@A) => (((less_eq@C)@A) => ((less_eq@((sup@B)@C))@A))))=$true)),inference(unfold_def,[status(thm)],[225])). 18.87/19.13 thf(397,plain,(((abel_semigroup_a@inf)=$true)),inference(unfold_def,[status(thm)],[232])). 18.87/19.13 thf(398,plain,(((![X:a,Y:a]: (((inf@((inf@X)@Y))@Y) = ((inf@X)@Y)))=$true)),inference(unfold_def,[status(thm)],[233])). 18.87/19.13 thf(399,plain,(((![X:a,Y:a,Z:a]: (((less_eq@((sup@X)@Y))@Z) = (((less_eq@Y)@Z) & ((less_eq@X)@Z))))=$true)),inference(unfold_def,[status(thm)],[236])). 18.87/19.13 thf(400,plain,(((![B:a,A:a,C:a]: (((sup@B)@((sup@A)@C)) = ((sup@A)@((sup@B)@C))))=$true)),inference(unfold_def,[status(thm)],[238])). 18.87/19.13 thf(401,plain,(((![X:a,Y:a,Z:a]: (((less_eq@X)@((inf@Y)@Z)) = (((less_eq@X)@Y) & ((less_eq@X)@Z))))=$true)),inference(unfold_def,[status(thm)],[240])). 18.87/19.13 thf(402,plain,(((![A:a,B:a,C:a]: (((inf@((inf@A)@B))@C) = ((inf@A)@((inf@B)@C))))=$true)),inference(unfold_def,[status(thm)],[241])). 18.87/19.13 thf(403,plain,(((![B:a,C:a,A:a]: (((less_eq@B)@C) => ((less_eq@((inf@A)@B))@C)))=$true)),inference(unfold_def,[status(thm)],[242])). 18.87/19.13 thf(404,plain,(((![B:a,C:a,A:a]: (((less_eq@((sup@B)@C))@A) = (((less_eq@C)@A) & ((less_eq@B)@A))))=$true)),inference(unfold_def,[status(thm)],[247])). 18.87/19.13 thf(405,plain,(((![X:a,A:a,B:a]: (((less_eq@X)@((sup@A)@B)) <= ((less_eq@X)@A)))=$true)),inference(unfold_def,[status(thm)],[248])). 18.87/19.13 thf(406,plain,(((![A:a,C:a,B:a,D:a]: ((((less_eq@B)@D) => ((less_eq@((inf@A)@B))@((inf@C)@D))) <= ((less_eq@A)@C)))=$true)),inference(unfold_def,[status(thm)],[249])). 18.87/19.13 thf(407,plain,(((![A:a,B:a,C:a]: (((less_eq@A)@((inf@B)@C)) = (((less_eq@A)@C) & ((less_eq@A)@B))))=$true)),inference(unfold_def,[status(thm)],[250])). 18.87/19.13 thf(408,plain,(((![C:a,A:a,B:a]: (((less_eq@C)@((sup@A)@B)) <= ((less_eq@C)@A)))=$true)),inference(unfold_def,[status(thm)],[252])). 18.87/19.13 thf(409,plain,(((![X:a,Y:a,Z:a]: ((![X2:a,Y2:a,Z2:a]: (((inf@X2)@((sup@Y2)@Z2)) = ((sup@((inf@X2)@Y2))@((inf@X2)@Z2)))) => (((sup@X)@((inf@Y)@Z)) = ((inf@((sup@X)@Y))@((sup@X)@Z)))))=$true)),inference(unfold_def,[status(thm)],[253])). 18.87/19.13 thf(410,plain,(((![X:a,Y:a,Z:a]: ((((inf@X)@((sup@Y)@Z)) = ((sup@((inf@X)@Y))@((inf@X)@Z))) <= (![X2:a,Y2:a,Z2:a]: (((sup@X2)@((inf@Y2)@Z2)) = ((inf@((sup@X2)@Y2))@((sup@X2)@Z2))))))=$true)),inference(unfold_def,[status(thm)],[258])). 18.87/19.13 thf(411,plain,(((![X:a,Y:a,Z:a]: ((less_eq@((sup@X)@((inf@Y)@Z)))@((inf@((sup@X)@Y))@((sup@X)@Z))))=$true)),inference(unfold_def,[status(thm)],[262])). 18.87/19.13 thf(412,plain,(((![B:a,A:a]: (((less_eq@B)@A) => (((inf@A)@B) = B)))=$true)),inference(unfold_def,[status(thm)],[265])). 18.87/19.13 thf(413,plain,(((~ ((((((modula1144073633_aux_a@inf)@sup)@b)@c)@a2) = (((((modula1144073633_aux_a@inf)@sup)@a2)@b)@c)))=$true)),inference(polarity_switch,[status(thm)],[273])). 18.87/19.13 thf(414,plain,(((![P:(a>$o)]: ((![X4:a]: ((((![SY348:a]: ((~ (P@SY348)) | ((less_eq@((sK2_Y2@X4)@P))@SY348))) & (P@((sK2_Y2@X4)@P))) & (~ (((sK2_Y2@X4)@P) = X4))) | (((P@((sK1_Y2@X4)@P)) & (~ ((less_eq@X4)@((sK1_Y2@X4)@P)))) | (~ (P@X4))))) | (![Z:a]: ((~ (P@Z)) | ((less_eq@((least_a@less_eq)@P))@Z)))))=$true)),inference(extcnf_combined,[status(esa)],[275])). 18.87/19.13 thf(415,plain,(((![Y:a,X:a]: ((~ ((less_eq@Y)@X)) | (((less_eq@X)@Y) = (X = Y))))=$true)),inference(extcnf_combined,[status(esa)],[276])). 18.87/19.13 thf(416,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | (![C:a]: ((~ (B = C)) | ((less_eq@A)@C)))))=$true)),inference(extcnf_combined,[status(esa)],[277])). 18.87/19.13 thf(417,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | (![C:a]: ((~ ((less_eq@B)@C)) | ((less_eq@A)@C)))))=$true)),inference(extcnf_combined,[status(esa)],[279])). 18.87/19.13 thf(418,plain,(((![F:(a>(a>a))]: ((~ (semilattice_a@F)) | (abel_semigroup_a@F)))=$true)),inference(extcnf_combined,[status(esa)],[281])). 18.87/19.13 thf(419,plain,(((![X:a,Y:a]: ((~ ((less_eq@X)@Y)) | ((~ ((less_eq@Y)@X)) | (X = Y))))=$true)),inference(extcnf_combined,[status(esa)],[283])). 18.87/19.13 thf(420,plain,(((![P:(a>$o),X:a]: ((~ (P@X)) | (((P@((sK4_Y2@X)@P)) & (~ ((less_eq@((sK4_Y2@X)@P))@X))) | (![Q:(a>$o)]: (((P@(((sK3_X2@Q)@X)@P)) & ((![SY349:a]: ((~ (P@SY349)) | ((less_eq@SY349)@(((sK3_X2@Q)@X)@P)))) & (~ (Q@(((sK3_X2@Q)@X)@P))))) | (Q@((greatest_a@less_eq)@P)))))))=$true)),inference(extcnf_combined,[status(esa)],[284])). 18.87/19.13 thf(421,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | ((~ ((less_eq@B)@A)) | (A = B))))=$true)),inference(extcnf_combined,[status(esa)],[285])). 18.87/19.13 thf(422,plain,(((![F:(a>(a>a))]: ((~ (semilattice_a@F)) | (lattic1885654924_set_a@F)))=$true)),inference(extcnf_combined,[status(esa)],[286])). 18.87/19.13 thf(423,plain,(((![X:a,Y:a]: ((~ (X = Y)) | ((less_eq@X)@Y)))=$true)),inference(extcnf_combined,[status(esa)],[287])). 18.87/19.13 thf(424,plain,(((![X:a,Y:a]: ((~ ((less_eq@X)@Y)) | (![Z:a]: ((~ ((less_eq@Y)@Z)) | ((less_eq@X)@Z)))))=$true)),inference(extcnf_combined,[status(esa)],[288])). 18.87/19.13 thf(425,plain,(((![F:(a>(a>a)),A:a]: ((~ (semigroup_a@F)) | (![B:a,C:a]: (((F@((F@A)@B))@C) = ((F@A)@((F@B)@C))))))=$true)),inference(extcnf_combined,[status(esa)],[289])). 18.87/19.13 thf(426,plain,((($true)=$true)),inference(extcnf_combined,[status(esa)],[290])). 18.87/19.13 thf(427,plain,(((![P:(a>$o),X:a]: ((~ (P@X)) | (((P@((sK6_Y2@X)@P)) & (~ ((less_eq@X)@((sK6_Y2@X)@P)))) | (![Q:(a>$o)]: (((P@(((sK5_X2@Q)@X)@P)) & ((![SY350:a]: ((~ (P@SY350)) | ((less_eq@(((sK5_X2@Q)@X)@P))@SY350))) & (~ (Q@(((sK5_X2@Q)@X)@P))))) | (Q@((least_a@less_eq)@P)))))))=$true)),inference(extcnf_combined,[status(esa)],[291])). 18.87/19.13 thf(428,plain,(((![F:(a>(a>a))]: ((~ (finite40241356em_a_a@F)) | (![X:a,Z:a]: (((F@X)@((F@X)@Z)) = ((F@X)@Z)))))=$true)),inference(extcnf_combined,[status(esa)],[292])). 18.87/19.13 thf(429,plain,(((![F:(a>(a>a))]: ((~ (((F@((F@(sK7_A4@F))@(sK8_SY351@F)))@(sK9_SY353@F)) = ((F@(sK7_A4@F))@((F@(sK8_SY351@F))@(sK9_SY353@F))))) | (semigroup_a@F)))=$true)),inference(extcnf_combined,[status(esa)],[293])). 18.87/19.13 thf(430,plain,(((![B:a,A:a]: ((~ ((less_eq@B)@A)) | (![C:a]: ((~ ((less_eq@C)@B)) | ((less_eq@C)@A)))))=$true)),inference(extcnf_combined,[status(esa)],[294])). 18.87/19.13 thf(431,plain,(((![P:(a>$o)]: ((![X4:a]: ((((![SY354:a]: ((~ (P@SY354)) | ((less_eq@((sK11_Y2@X4)@P))@SY354))) & (P@((sK11_Y2@X4)@P))) & (~ (((sK11_Y2@X4)@P) = X4))) | (((P@((sK10_Y2@X4)@P)) & (~ ((less_eq@X4)@((sK10_Y2@X4)@P)))) | (~ (P@X4))))) | (P@((least_a@less_eq)@P))))=$true)),inference(extcnf_combined,[status(esa)],[295])). 18.87/19.13 thf(432,plain,(((![P:(a>$o),X:a]: ((~ (P@X)) | (((P@((sK12_Y2@X)@P)) & (~ ((less_eq@X)@((sK12_Y2@X)@P)))) | (((least_a@less_eq)@P) = X))))=$true)),inference(extcnf_combined,[status(esa)],[296])). 18.87/19.13 thf(433,plain,(((![F:(a>(a>a))]: ((~ (abel_semigroup_a@F)) | (semigroup_a@F)))=$true)),inference(extcnf_combined,[status(esa)],[298])). 18.87/19.13 thf(434,plain,(((![F:(a>(a>a))]: ((~ (lattic1885654924_set_a@F)) | (semilattice_a@F)))=$true)),inference(extcnf_combined,[status(esa)],[299])). 18.87/19.13 thf(435,plain,(((![F:(a>(a>a))]: ((~ (abel_semigroup_a@F)) | (![A:a,B:a]: (((F@A)@B) = ((F@B)@A)))))=$true)),inference(extcnf_combined,[status(esa)],[300])). 18.87/19.13 thf(436,plain,(((![F:(a>(a>a))]: ((~ (semilattice_a@F)) | (![A:a,B:a]: (((F@((F@A)@B))@B) = ((F@A)@B)))))=$true)),inference(extcnf_combined,[status(esa)],[301])). 18.87/19.13 thf(437,plain,((((![A:a,B:a]: (((less_eq@A)@B) | ((((min_a@less_eq)@A)@B) = B))) & (![A:a,B:a]: ((~ ((less_eq@A)@B)) | ((((min_a@less_eq)@A)@B) = A))))=$true)),inference(extcnf_combined,[status(esa)],[304])). 18.87/19.13 thf(438,plain,((((![A:a,B:a]: ((~ ((less_eq@A)@B)) | ((((max_a@less_eq)@A)@B) = B))) & (![A:a,B:a]: (((less_eq@A)@B) | ((((max_a@less_eq)@A)@B) = A))))=$true)),inference(extcnf_combined,[status(esa)],[305])). 18.87/19.13 thf(439,plain,(((![F:(a>(a>a)),B:a]: ((~ (abel_semigroup_a@F)) | (![A:a,C:a]: (((F@B)@((F@A)@C)) = ((F@A)@((F@B)@C))))))=$true)),inference(extcnf_combined,[status(esa)],[306])). 18.87/19.13 thf(440,plain,(((![F:(a>(a>a))]: ((~ (semilattice_a@F)) | (![A:a]: (((F@A)@A) = A))))=$true)),inference(extcnf_combined,[status(esa)],[307])). 18.87/19.13 thf(441,plain,(((![P:(a>$o),X:a]: ((~ (P@X)) | (((P@((sK13_Y2@X)@P)) & (~ ((less_eq@((sK13_Y2@X)@P))@X))) | (((greatest_a@less_eq)@P) = X))))=$true)),inference(extcnf_combined,[status(esa)],[309])). 18.87/19.13 thf(442,plain,(((![F:(a>(a>a))]: ((~ (semilattice_a@F)) | (![A:a,B:a]: (((F@A)@((F@A)@B)) = ((F@A)@B)))))=$true)),inference(extcnf_combined,[status(esa)],[310])). 18.87/19.13 thf(443,plain,(((![B:a,A:a]: ((~ ((less_eq@B)@A)) | ((~ ((less_eq@A)@B)) | (A = B))))=$true)),inference(extcnf_combined,[status(esa)],[311])). 18.87/19.13 thf(444,plain,(((![A:a,B:a]: ((~ (A = B)) | (![C:a]: ((~ ((less_eq@B)@C)) | ((less_eq@A)@C)))))=$true)),inference(extcnf_combined,[status(esa)],[312])). 18.87/19.13 thf(445,plain,(((![X:a,A:a]: ((~ ((less_eq@X)@A)) | (![B:a]: ((~ ((less_eq@X)@B)) | ((less_eq@X)@((inf@A)@B))))))=$true)),inference(extcnf_combined,[status(esa)],[314])). 18.87/19.13 thf(446,plain,(((![Y:a,X:a]: ((~ ((less_eq@Y)@X)) | (((sup@X)@Y) = X)))=$true)),inference(extcnf_combined,[status(esa)],[319])). 18.87/19.13 thf(447,plain,(((![Y:a,X:a]: ((~ ((less_eq@Y)@X)) | (![Z:a]: ((~ ((less_eq@Z)@X)) | ((less_eq@((sup@Y)@Z))@X)))))=$true)),inference(extcnf_combined,[status(esa)],[323])). 18.87/19.13 thf(448,plain,(((![A:a,C:a]: ((~ ((less_eq@A)@C)) | (![B:a]: ((less_eq@((inf@A)@B))@C))))=$true)),inference(extcnf_combined,[status(esa)],[325])). 18.87/19.13 thf(449,plain,(((![X:a,B:a]: ((~ ((less_eq@X)@B)) | (![A:a]: ((less_eq@X)@((sup@A)@B)))))=$true)),inference(extcnf_combined,[status(esa)],[327])). 18.87/19.13 thf(450,plain,(((![B:a,A:a]: ((~ ((less_eq@B)@A)) | (A = ((sup@A)@B))))=$true)),inference(extcnf_combined,[status(esa)],[329])). 18.87/19.13 thf(451,plain,(((![F:(a>(a>a))]: ((~ ((less_eq@((F@(sK19_X2@F))@(sK20_SY359@F)))@(sK19_X2@F))) | ((~ ((less_eq@((F@(sK17_X2@F))@(sK18_SY358@F)))@(sK18_SY358@F))) | ((((less_eq@(sK14_X2@F))@(sK15_SY355@F)) & (((less_eq@(sK14_X2@F))@(sK16_SY357@F)) & (~ ((less_eq@(sK14_X2@F))@((F@(sK15_SY355@F))@(sK16_SY357@F)))))) | (![X:a,Y:a]: (((inf@X)@Y) = ((F@X)@Y)))))))=$true)),inference(extcnf_combined,[status(esa)],[332])). 18.87/19.13 thf(452,plain,(((![A:a]: ((![B:a]: ((![C:a]: (~ ((less_eq@A)@((inf@B)@C)))) | ((less_eq@A)@B))) & (![B:a,C:a]: ((~ ((less_eq@A)@((inf@B)@C))) | ((less_eq@A)@C)))))=$true)),inference(extcnf_combined,[status(esa)],[335])). 18.87/19.13 thf(453,plain,(((![A:a,X:a]: ((~ ((less_eq@A)@X)) | (![B:a]: ((~ ((less_eq@B)@X)) | ((less_eq@((sup@A)@B))@X)))))=$true)),inference(extcnf_combined,[status(esa)],[340])). 18.87/19.13 thf(454,plain,(((![A:a,X:a]: ((~ ((less_eq@A)@X)) | (![B:a]: ((less_eq@((inf@A)@B))@X))))=$true)),inference(extcnf_combined,[status(esa)],[341])). 18.87/19.13 thf(455,plain,(((![X:a,Y:a]: ((~ ((less_eq@X)@Y)) | (((sup@X)@Y) = Y)))=$true)),inference(extcnf_combined,[status(esa)],[347])). 18.87/19.13 thf(456,plain,(((![B:a]: ((![C:a,A:a]: ((~ ((less_eq@((sup@B)@C))@A)) | ((less_eq@B)@A))) & (![C:a,A:a]: ((~ ((less_eq@((sup@B)@C))@A)) | ((less_eq@C)@A)))))=$true)),inference(extcnf_combined,[status(esa)],[350])). 18.87/19.13 thf(457,plain,((($true)=$true)),inference(extcnf_combined,[status(esa)],[352])). 18.87/19.13 thf(458,plain,(((![X:a,Y:a]: ((~ ((less_eq@X)@Y)) | (((inf@X)@Y) = X)))=$true)),inference(extcnf_combined,[status(esa)],[353])). 18.87/19.13 thf(459,plain,(((![A:a,B:a]: ((~ (A = ((inf@A)@B))) | ((less_eq@A)@B)))=$true)),inference(extcnf_combined,[status(esa)],[354])). 18.87/19.13 thf(460,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | (((sup@A)@B) = B)))=$true)),inference(extcnf_combined,[status(esa)],[356])). 18.87/19.13 thf(461,plain,(((![B:a,A:a]: ((~ ((less_eq@B)@A)) | (((sup@A)@B) = A)))=$true)),inference(extcnf_combined,[status(esa)],[358])). 18.87/19.13 thf(462,plain,(((![X:a,Y:a]: ((~ ((less_eq@X)@Y)) | (![Z:a]: ((~ ((less_eq@X)@Z)) | ((less_eq@X)@((inf@Y)@Z))))))=$true)),inference(extcnf_combined,[status(esa)],[361])). 18.87/19.13 thf(463,plain,(((![A:a]: ((![B:a,X:a]: ((~ ((less_eq@((sup@A)@B))@X)) | ((less_eq@A)@X))) & (![B:a,X:a]: ((~ ((less_eq@((sup@A)@B))@X)) | ((less_eq@B)@X)))))=$true)),inference(extcnf_combined,[status(esa)],[364])). 18.87/19.13 thf(464,plain,(((![Y:a,X:a]: ((~ ((less_eq@Y)@X)) | (((inf@X)@Y) = Y)))=$true)),inference(extcnf_combined,[status(esa)],[366])). 18.87/19.13 thf(465,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | (![C:a]: ((~ ((less_eq@A)@C)) | ((less_eq@A)@((inf@B)@C))))))=$true)),inference(extcnf_combined,[status(esa)],[367])). 18.87/19.13 thf(466,plain,(((![C:a,A:a]: ((~ ((less_eq@C)@A)) | (![D:a,B:a]: ((~ ((less_eq@D)@B)) | ((less_eq@((sup@C)@D))@((sup@A)@B))))))=$true)),inference(extcnf_combined,[status(esa)],[368])). 18.87/19.13 thf(467,plain,(((![A:a,B:a]: ((~ (A = ((sup@A)@B))) | ((less_eq@B)@A)))=$true)),inference(extcnf_combined,[status(esa)],[374])). 18.87/19.13 thf(468,plain,(((![B:a,X:a]: ((~ ((less_eq@B)@X)) | (![A:a]: ((less_eq@((inf@A)@B))@X))))=$true)),inference(extcnf_combined,[status(esa)],[379])). 18.87/19.13 thf(469,plain,(((![X:a]: ((![A:a]: ((![B:a]: (~ ((less_eq@X)@((inf@A)@B)))) | ((less_eq@X)@A))) & (![A:a,B:a]: ((~ ((less_eq@X)@((inf@A)@B))) | ((less_eq@X)@B)))))=$true)),inference(extcnf_combined,[status(esa)],[383])). 18.87/19.13 thf(470,plain,(((![C:a,B:a]: ((~ ((less_eq@C)@B)) | (![A:a]: ((less_eq@C)@((sup@A)@B)))))=$true)),inference(extcnf_combined,[status(esa)],[387])). 18.87/19.13 thf(471,plain,(((![F:(a>(a>a))]: ((~ ((less_eq@(sK26_X2@F))@((F@(sK26_X2@F))@(sK27_SY364@F)))) | ((~ ((less_eq@(sK25_SY363@F))@((F@(sK24_X2@F))@(sK25_SY363@F)))) | ((((less_eq@(sK22_SY360@F))@(sK21_X2@F)) & (((less_eq@(sK23_SY362@F))@(sK21_X2@F)) & (~ ((less_eq@((F@(sK22_SY360@F))@(sK23_SY362@F)))@(sK21_X2@F))))) | (![X:a,Y:a]: (((sup@X)@Y) = ((F@X)@Y)))))))=$true)),inference(extcnf_combined,[status(esa)],[388])). 18.87/19.13 thf(472,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | (((inf@A)@B) = A)))=$true)),inference(extcnf_combined,[status(esa)],[390])). 18.87/19.13 thf(473,plain,(((![A:a,C:a]: ((~ ((less_eq@A)@C)) | (![B:a,D:a]: ((~ ((less_eq@B)@D)) | ((less_eq@((sup@A)@B))@((sup@C)@D))))))=$true)),inference(extcnf_combined,[status(esa)],[391])). 18.87/19.13 thf(474,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | (A = ((inf@A)@B))))=$true)),inference(extcnf_combined,[status(esa)],[394])). 18.87/19.13 thf(475,plain,(((![B:a,A:a]: ((~ ((less_eq@B)@A)) | (![C:a]: ((~ ((less_eq@C)@A)) | ((less_eq@((sup@B)@C))@A)))))=$true)),inference(extcnf_combined,[status(esa)],[396])). 18.87/19.13 thf(476,plain,(((![B:a,C:a]: ((~ ((less_eq@B)@C)) | (![A:a]: ((less_eq@((inf@A)@B))@C))))=$true)),inference(extcnf_combined,[status(esa)],[403])). 18.87/19.13 thf(477,plain,(((![X:a,A:a]: ((~ ((less_eq@X)@A)) | (![B:a]: ((less_eq@X)@((sup@A)@B)))))=$true)),inference(extcnf_combined,[status(esa)],[405])). 18.87/19.13 thf(478,plain,(((![A:a,C:a]: ((~ ((less_eq@A)@C)) | (![B:a,D:a]: ((~ ((less_eq@B)@D)) | ((less_eq@((inf@A)@B))@((inf@C)@D))))))=$true)),inference(extcnf_combined,[status(esa)],[406])). 18.87/19.13 thf(479,plain,(((![C:a,A:a]: ((~ ((less_eq@C)@A)) | (![B:a]: ((less_eq@C)@((sup@A)@B)))))=$true)),inference(extcnf_combined,[status(esa)],[408])). 18.87/19.13 thf(480,plain,(((![X:a]: ((~ (((inf@(sK28_X2@X))@((sup@(sK29_SY365@X))@(sK30_SY367@X))) = ((sup@((inf@(sK28_X2@X))@(sK29_SY365@X)))@((inf@(sK28_X2@X))@(sK30_SY367@X))))) | (![Y:a,Z:a]: (((sup@X)@((inf@Y)@Z)) = ((inf@((sup@X)@Y))@((sup@X)@Z))))))=$true)),inference(extcnf_combined,[status(esa)],[409])). 18.87/19.13 thf(481,plain,(((![X:a]: ((~ (((sup@(sK31_X2@X))@((inf@(sK32_SY368@X))@(sK33_SY370@X))) = ((inf@((sup@(sK31_X2@X))@(sK32_SY368@X)))@((sup@(sK31_X2@X))@(sK33_SY370@X))))) | (![Y:a,Z:a]: (((inf@X)@((sup@Y)@Z)) = ((sup@((inf@X)@Y))@((inf@X)@Z))))))=$true)),inference(extcnf_combined,[status(esa)],[410])). 18.87/19.13 thf(482,plain,(((![B:a,A:a]: ((~ ((less_eq@B)@A)) | (((inf@A)@B) = B)))=$true)),inference(extcnf_combined,[status(esa)],[412])). 18.87/19.13 thf(483,plain,(((![B:a,A:a]: ((~ ((less_eq@B)@A)) | (((inf@A)@B) = B)))=$true)),inference(copy,[status(thm)],[482])). 18.87/19.13 thf(484,plain,(((![X:a,Y:a,Z:a]: ((less_eq@((sup@X)@((inf@Y)@Z)))@((inf@((sup@X)@Y))@((sup@X)@Z))))=$true)),inference(copy,[status(thm)],[411])). 18.87/19.13 thf(485,plain,(((![X:a]: ((~ (((sup@(sK31_X2@X))@((inf@(sK32_SY368@X))@(sK33_SY370@X))) = ((inf@((sup@(sK31_X2@X))@(sK32_SY368@X)))@((sup@(sK31_X2@X))@(sK33_SY370@X))))) | (![Y:a,Z:a]: (((inf@X)@((sup@Y)@Z)) = ((sup@((inf@X)@Y))@((inf@X)@Z))))))=$true)),inference(copy,[status(thm)],[481])). 18.87/19.13 thf(486,plain,(((![X:a]: ((~ (((inf@(sK28_X2@X))@((sup@(sK29_SY365@X))@(sK30_SY367@X))) = ((sup@((inf@(sK28_X2@X))@(sK29_SY365@X)))@((inf@(sK28_X2@X))@(sK30_SY367@X))))) | (![Y:a,Z:a]: (((sup@X)@((inf@Y)@Z)) = ((inf@((sup@X)@Y))@((sup@X)@Z))))))=$true)),inference(copy,[status(thm)],[480])). 18.87/19.13 thf(487,plain,(((![C:a,A:a]: ((~ ((less_eq@C)@A)) | (![B:a]: ((less_eq@C)@((sup@A)@B)))))=$true)),inference(copy,[status(thm)],[479])). 18.87/19.13 thf(488,plain,(((![A:a,B:a,C:a]: (((less_eq@A)@((inf@B)@C)) = (((less_eq@A)@C) & ((less_eq@A)@B))))=$true)),inference(copy,[status(thm)],[407])). 18.87/19.13 thf(489,plain,(((![A:a,C:a]: ((~ ((less_eq@A)@C)) | (![B:a,D:a]: ((~ ((less_eq@B)@D)) | ((less_eq@((inf@A)@B))@((inf@C)@D))))))=$true)),inference(copy,[status(thm)],[478])). 18.87/19.13 thf(490,plain,(((![X:a,A:a]: ((~ ((less_eq@X)@A)) | (![B:a]: ((less_eq@X)@((sup@A)@B)))))=$true)),inference(copy,[status(thm)],[477])). 18.87/19.13 thf(491,plain,(((![B:a,C:a,A:a]: (((less_eq@((sup@B)@C))@A) = (((less_eq@C)@A) & ((less_eq@B)@A))))=$true)),inference(copy,[status(thm)],[404])). 18.87/19.13 thf(492,plain,(((![B:a,C:a]: ((~ ((less_eq@B)@C)) | (![A:a]: ((less_eq@((inf@A)@B))@C))))=$true)),inference(copy,[status(thm)],[476])). 18.87/19.13 thf(493,plain,(((![A:a,B:a,C:a]: (((inf@((inf@A)@B))@C) = ((inf@A)@((inf@B)@C))))=$true)),inference(copy,[status(thm)],[402])). 18.87/19.13 thf(494,plain,(((![X:a,Y:a,Z:a]: (((less_eq@X)@((inf@Y)@Z)) = (((less_eq@X)@Y) & ((less_eq@X)@Z))))=$true)),inference(copy,[status(thm)],[401])). 18.87/19.13 thf(495,plain,(((![B:a,A:a,C:a]: (((sup@B)@((sup@A)@C)) = ((sup@A)@((sup@B)@C))))=$true)),inference(copy,[status(thm)],[400])). 18.87/19.13 thf(496,plain,(((![X:a,Y:a,Z:a]: (((less_eq@((sup@X)@Y))@Z) = (((less_eq@Y)@Z) & ((less_eq@X)@Z))))=$true)),inference(copy,[status(thm)],[399])). 18.87/19.13 thf(497,plain,(((![X:a,Y:a]: (((inf@((inf@X)@Y))@Y) = ((inf@X)@Y)))=$true)),inference(copy,[status(thm)],[398])). 18.87/19.13 thf(498,plain,(((abel_semigroup_a@inf)=$true)),inference(copy,[status(thm)],[397])). 18.87/19.13 thf(499,plain,(((![B:a,A:a]: ((~ ((less_eq@B)@A)) | (![C:a]: ((~ ((less_eq@C)@A)) | ((less_eq@((sup@B)@C))@A)))))=$true)),inference(copy,[status(thm)],[475])). 18.87/19.13 thf(500,plain,(((![X:a,Y:a]: (((sup@X)@Y) = ((sup@Y)@X)))=$true)),inference(copy,[status(thm)],[395])). 18.87/19.13 thf(501,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | (A = ((inf@A)@B))))=$true)),inference(copy,[status(thm)],[474])). 18.87/19.13 thf(502,plain,(((![A:a,B:a]: (((sup@A)@B) = ((sup@B)@A)))=$true)),inference(copy,[status(thm)],[393])). 18.87/19.13 thf(503,plain,(((semilattice_a@inf)=$true)),inference(copy,[status(thm)],[392])). 18.87/19.13 thf(504,plain,(((![A:a,C:a]: ((~ ((less_eq@A)@C)) | (![B:a,D:a]: ((~ ((less_eq@B)@D)) | ((less_eq@((sup@A)@B))@((sup@C)@D))))))=$true)),inference(copy,[status(thm)],[473])). 18.87/19.13 thf(505,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | (((inf@A)@B) = A)))=$true)),inference(copy,[status(thm)],[472])). 18.87/19.13 thf(506,plain,(((![A:a,B:a]: (((inf@A)@B) = ((inf@B)@A)))=$true)),inference(copy,[status(thm)],[389])). 18.87/19.13 thf(507,plain,(((![F:(a>(a>a))]: ((~ ((less_eq@(sK26_X2@F))@((F@(sK26_X2@F))@(sK27_SY364@F)))) | ((~ ((less_eq@(sK25_SY363@F))@((F@(sK24_X2@F))@(sK25_SY363@F)))) | ((((less_eq@(sK22_SY360@F))@(sK21_X2@F)) & (((less_eq@(sK23_SY362@F))@(sK21_X2@F)) & (~ ((less_eq@((F@(sK22_SY360@F))@(sK23_SY362@F)))@(sK21_X2@F))))) | (![X:a,Y:a]: (((sup@X)@Y) = ((F@X)@Y)))))))=$true)),inference(copy,[status(thm)],[471])). 18.87/19.13 thf(508,plain,(((![C:a,B:a]: ((~ ((less_eq@C)@B)) | (![A:a]: ((less_eq@C)@((sup@A)@B)))))=$true)),inference(copy,[status(thm)],[470])). 18.87/19.13 thf(509,plain,(((![A:a,B:a]: (((inf@A)@((inf@A)@B)) = ((inf@A)@B)))=$true)),inference(copy,[status(thm)],[386])). 18.87/19.13 thf(510,plain,(((semigroup_a@inf)=$true)),inference(copy,[status(thm)],[385])). 18.87/19.13 thf(511,plain,(((![A:a,B:a]: (((less_eq@A)@B) = (A = ((inf@A)@B))))=$true)),inference(copy,[status(thm)],[384])). 18.87/19.13 thf(512,plain,(((![X:a]: ((![A:a]: ((![B:a]: (~ ((less_eq@X)@((inf@A)@B)))) | ((less_eq@X)@A))) & (![A:a,B:a]: ((~ ((less_eq@X)@((inf@A)@B))) | ((less_eq@X)@B)))))=$true)),inference(copy,[status(thm)],[469])). 18.87/19.13 thf(513,plain,(((lattic1885654924_set_a@sup)=$true)),inference(copy,[status(thm)],[382])). 18.87/19.13 thf(514,plain,(((![A:a,B:a]: (((inf@((inf@A)@B))@B) = ((inf@A)@B)))=$true)),inference(copy,[status(thm)],[381])). 18.87/19.13 thf(515,plain,(((abel_semigroup_a@sup)=$true)),inference(copy,[status(thm)],[380])). 18.87/19.13 thf(516,plain,(((![B:a,X:a]: ((~ ((less_eq@B)@X)) | (![A:a]: ((less_eq@((inf@A)@B))@X))))=$true)),inference(copy,[status(thm)],[468])). 18.87/19.13 thf(517,plain,(((![X:a,Y:a]: (((inf@X)@Y) = ((inf@Y)@X)))=$true)),inference(copy,[status(thm)],[378])). 18.87/19.13 thf(518,plain,(((![X:a]: (((sup@X)@X) = X))=$true)),inference(copy,[status(thm)],[377])). 18.87/19.13 thf(519,plain,(((![A:a,B:a]: (((sup@((sup@A)@B))@B) = ((sup@A)@B)))=$true)),inference(copy,[status(thm)],[376])). 18.87/19.13 thf(520,plain,(((![A:a,B:a,C:a]: ((((((modula1936294176_aux_a@inf)@sup)@A)@B)@C) = ((sup@((sup@((inf@A)@B))@((inf@B)@C)))@((inf@C)@A))))=$true)),inference(copy,[status(thm)],[375])). 18.87/19.13 thf(521,plain,(((![A:a,B:a]: ((~ (A = ((sup@A)@B))) | ((less_eq@B)@A)))=$true)),inference(copy,[status(thm)],[467])). 18.87/19.13 thf(522,plain,(((![C:a,A:a,B:a]: ((((((modula1936294176_aux_a@inf)@sup)@C)@A)@B) = (((((modula1936294176_aux_a@inf)@sup)@A)@B)@C)))=$true)),inference(copy,[status(thm)],[373])). 18.87/19.13 thf(523,plain,(((![X:a,Y:a,Z:a]: (((sup@((sup@X)@Y))@Z) = ((sup@X)@((sup@Y)@Z))))=$true)),inference(copy,[status(thm)],[372])). 18.87/19.13 thf(524,plain,(((![B:a,A:a]: (((less_eq@B)@A) = (((sup@A)@B) = A)))=$true)),inference(copy,[status(thm)],[371])). 18.87/19.13 thf(525,plain,(((finite40241356em_a_a@inf)=$true)),inference(copy,[status(thm)],[370])). 18.87/19.13 thf(526,plain,(((![A:a,B:a]: (((sup@A)@((sup@A)@B)) = ((sup@A)@B)))=$true)),inference(copy,[status(thm)],[369])). 18.87/19.13 thf(527,plain,(((![C:a,A:a]: ((~ ((less_eq@C)@A)) | (![D:a,B:a]: ((~ ((less_eq@D)@B)) | ((less_eq@((sup@C)@D))@((sup@A)@B))))))=$true)),inference(copy,[status(thm)],[466])). 18.87/19.13 thf(528,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | (![C:a]: ((~ ((less_eq@A)@C)) | ((less_eq@A)@((inf@B)@C))))))=$true)),inference(copy,[status(thm)],[465])). 18.87/19.13 thf(529,plain,(((![Y:a,X:a]: ((~ ((less_eq@Y)@X)) | (((inf@X)@Y) = Y)))=$true)),inference(copy,[status(thm)],[464])). 18.87/19.13 thf(530,plain,(((![Y:a,X:a]: ((less_eq@Y)@((sup@X)@Y)))=$true)),inference(copy,[status(thm)],[365])). 18.87/19.13 thf(531,plain,(((![A:a]: ((![B:a,X:a]: ((~ ((less_eq@((sup@A)@B))@X)) | ((less_eq@A)@X))) & (![B:a,X:a]: ((~ ((less_eq@((sup@A)@B))@X)) | ((less_eq@B)@X)))))=$true)),inference(copy,[status(thm)],[463])). 18.87/19.13 thf(532,plain,(((lattic1885654924_set_a@inf)=$true)),inference(copy,[status(thm)],[363])). 18.87/19.13 thf(533,plain,(((![A:a,B:a]: ((less_eq@((inf@A)@B))@A))=$true)),inference(copy,[status(thm)],[362])). 18.87/19.13 thf(534,plain,(((![X:a,Y:a]: ((~ ((less_eq@X)@Y)) | (![Z:a]: ((~ ((less_eq@X)@Z)) | ((less_eq@X)@((inf@Y)@Z))))))=$true)),inference(copy,[status(thm)],[462])). 18.87/19.13 thf(535,plain,(((![X:a,Y:a,Z:a]: ((less_eq@((sup@((inf@X)@Y))@((inf@X)@Z)))@((inf@X)@((sup@Y)@Z))))=$true)),inference(copy,[status(thm)],[360])). 18.87/19.13 thf(536,plain,(((![B:a,A:a]: (((less_eq@B)@A) = (((inf@A)@B) = B)))=$true)),inference(copy,[status(thm)],[359])). 18.87/19.13 thf(537,plain,(((![B:a,A:a]: ((~ ((less_eq@B)@A)) | (((sup@A)@B) = A)))=$true)),inference(copy,[status(thm)],[461])). 18.87/19.13 thf(538,plain,(((![X:a,Y:a]: (((sup@X)@((inf@X)@Y)) = X))=$true)),inference(copy,[status(thm)],[357])). 18.87/19.13 thf(539,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | (((sup@A)@B) = B)))=$true)),inference(copy,[status(thm)],[460])). 18.87/19.13 thf(540,plain,(((![B:a,A:a]: ((less_eq@B)@((sup@A)@B)))=$true)),inference(copy,[status(thm)],[355])). 18.87/19.13 thf(541,plain,(((![A:a,B:a]: ((~ (A = ((inf@A)@B))) | ((less_eq@A)@B)))=$true)),inference(copy,[status(thm)],[459])). 18.87/19.13 thf(542,plain,(((![X:a,Y:a]: ((~ ((less_eq@X)@Y)) | (((inf@X)@Y) = X)))=$true)),inference(copy,[status(thm)],[458])). 18.87/19.13 thf(543,plain,((($true)=$true)),inference(copy,[status(thm)],[457])). 18.87/19.13 thf(544,plain,(((semigroup_a@sup)=$true)),inference(copy,[status(thm)],[351])). 18.87/19.13 thf(545,plain,(((![B:a]: ((![C:a,A:a]: ((~ ((less_eq@((sup@B)@C))@A)) | ((less_eq@B)@A))) & (![C:a,A:a]: ((~ ((less_eq@((sup@B)@C))@A)) | ((less_eq@C)@A)))))=$true)),inference(copy,[status(thm)],[456])). 18.87/19.13 thf(546,plain,(((![A:a]: (((inf@A)@A) = A))=$true)),inference(copy,[status(thm)],[349])). 18.87/19.13 thf(547,plain,(((![B:a,A:a,C:a]: (((inf@B)@((inf@A)@C)) = ((inf@A)@((inf@B)@C))))=$true)),inference(copy,[status(thm)],[348])). 18.87/19.13 thf(548,plain,(((![X:a,Y:a]: ((~ ((less_eq@X)@Y)) | (((sup@X)@Y) = Y)))=$true)),inference(copy,[status(thm)],[455])). 18.87/19.13 thf(549,plain,(((![X:a,Y:a]: (((inf@X)@((sup@X)@Y)) = X))=$true)),inference(copy,[status(thm)],[346])). 18.87/19.13 thf(550,plain,(((![X:a,Y:a,Z:a]: (((inf@((inf@X)@Y))@Z) = ((inf@X)@((inf@Y)@Z))))=$true)),inference(copy,[status(thm)],[345])). 18.87/19.13 thf(551,plain,(((![B:a,C:a,A:a]: ((((((modula1936294176_aux_a@inf)@sup)@B)@C)@A) = (((((modula1936294176_aux_a@inf)@sup)@A)@B)@C)))=$true)),inference(copy,[status(thm)],[344])). 18.87/19.13 thf(552,plain,(((![A:a,B:a,C:a]: ((((((modula1144073633_aux_a@inf)@sup)@A)@B)@C) = ((inf@((inf@((sup@A)@B))@((sup@B)@C)))@((sup@C)@A))))=$true)),inference(copy,[status(thm)],[343])). 18.87/19.13 thf(553,plain,(((![X:a]: (((inf@X)@X) = X))=$true)),inference(copy,[status(thm)],[342])). 18.87/19.13 thf(554,plain,(((![A:a,X:a]: ((~ ((less_eq@A)@X)) | (![B:a]: ((less_eq@((inf@A)@B))@X))))=$true)),inference(copy,[status(thm)],[454])). 18.87/19.13 thf(555,plain,(((![A:a,X:a]: ((~ ((less_eq@A)@X)) | (![B:a]: ((~ ((less_eq@B)@X)) | ((less_eq@((sup@A)@B))@X)))))=$true)),inference(copy,[status(thm)],[453])). 18.87/19.13 thf(556,plain,(((![A:a,B:a]: ((less_eq@((inf@A)@B))@B))=$true)),inference(copy,[status(thm)],[339])). 18.87/19.13 thf(557,plain,(((![A:a,B:a]: (((less_eq@A)@B) = (((inf@A)@B) = A)))=$true)),inference(copy,[status(thm)],[338])). 18.87/19.13 thf(558,plain,(((![X:a,Y:a,Z:a]: (((sup@X)@((sup@Y)@Z)) = ((sup@Y)@((sup@X)@Z))))=$true)),inference(copy,[status(thm)],[337])). 18.87/19.13 thf(559,plain,(((![X:a,Y:a]: (((inf@X)@((inf@X)@Y)) = ((inf@X)@Y)))=$true)),inference(copy,[status(thm)],[336])). 18.87/19.13 thf(560,plain,(((![A:a]: ((![B:a]: ((![C:a]: (~ ((less_eq@A)@((inf@B)@C)))) | ((less_eq@A)@B))) & (![B:a,C:a]: ((~ ((less_eq@A)@((inf@B)@C))) | ((less_eq@A)@C)))))=$true)),inference(copy,[status(thm)],[452])). 18.87/19.13 thf(561,plain,(((![A:a,B:a,C:a]: (((sup@((sup@A)@B))@C) = ((sup@A)@((sup@B)@C))))=$true)),inference(copy,[status(thm)],[334])). 18.87/19.13 thf(562,plain,(((![B:a,A:a]: (((less_eq@B)@A) = (A = ((sup@A)@B))))=$true)),inference(copy,[status(thm)],[333])). 18.87/19.13 thf(563,plain,(((![F:(a>(a>a))]: ((~ ((less_eq@((F@(sK19_X2@F))@(sK20_SY359@F)))@(sK19_X2@F))) | ((~ ((less_eq@((F@(sK17_X2@F))@(sK18_SY358@F)))@(sK18_SY358@F))) | ((((less_eq@(sK14_X2@F))@(sK15_SY355@F)) & (((less_eq@(sK14_X2@F))@(sK16_SY357@F)) & (~ ((less_eq@(sK14_X2@F))@((F@(sK15_SY355@F))@(sK16_SY357@F)))))) | (![X:a,Y:a]: (((inf@X)@Y) = ((F@X)@Y)))))))=$true)),inference(copy,[status(thm)],[451])). 18.87/19.13 thf(564,plain,(((![X:a,Y:a]: (((less_eq@X)@Y) = (((sup@X)@Y) = Y)))=$true)),inference(copy,[status(thm)],[331])). 18.87/19.13 thf(565,plain,(((![X:a,Y:a,Z:a]: (((inf@X)@((inf@Y)@Z)) = ((inf@Y)@((inf@X)@Z))))=$true)),inference(copy,[status(thm)],[330])). 18.87/19.13 thf(566,plain,(((![B:a,A:a]: ((~ ((less_eq@B)@A)) | (A = ((sup@A)@B))))=$true)),inference(copy,[status(thm)],[450])). 18.87/19.13 thf(567,plain,(((![A:a,B:a]: ((less_eq@A)@((sup@A)@B)))=$true)),inference(copy,[status(thm)],[328])). 18.87/19.13 thf(568,plain,(((![X:a,B:a]: ((~ ((less_eq@X)@B)) | (![A:a]: ((less_eq@X)@((sup@A)@B)))))=$true)),inference(copy,[status(thm)],[449])). 18.87/19.13 thf(569,plain,(((![X:a,Y:a]: (((sup@X)@((sup@X)@Y)) = ((sup@X)@Y)))=$true)),inference(copy,[status(thm)],[326])). 18.87/19.13 thf(570,plain,(((![A:a,C:a]: ((~ ((less_eq@A)@C)) | (![B:a]: ((less_eq@((inf@A)@B))@C))))=$true)),inference(copy,[status(thm)],[448])). 18.87/19.13 thf(571,plain,(((semilattice_a@sup)=$true)),inference(copy,[status(thm)],[324])). 18.87/19.13 thf(572,plain,(((![Y:a,X:a]: ((~ ((less_eq@Y)@X)) | (![Z:a]: ((~ ((less_eq@Z)@X)) | ((less_eq@((sup@Y)@Z))@X)))))=$true)),inference(copy,[status(thm)],[447])). 18.87/19.13 thf(573,plain,(((![X:a,Y:a]: ((less_eq@((inf@X)@Y))@Y))=$true)),inference(copy,[status(thm)],[322])). 18.87/19.13 thf(574,plain,(((![X:a,Y:a]: ((less_eq@X)@((sup@X)@Y)))=$true)),inference(copy,[status(thm)],[321])). 18.87/19.13 thf(575,plain,(((![A:a]: (((sup@A)@A) = A))=$true)),inference(copy,[status(thm)],[320])). 18.87/19.13 thf(576,plain,(((![Y:a,X:a]: ((~ ((less_eq@Y)@X)) | (((sup@X)@Y) = X)))=$true)),inference(copy,[status(thm)],[446])). 18.87/19.13 thf(577,plain,(((![A:a,B:a]: (((less_eq@A)@B) = (((sup@A)@B) = B)))=$true)),inference(copy,[status(thm)],[318])). 18.87/19.13 thf(578,plain,(((![X:a,Y:a]: (((less_eq@X)@Y) = (((inf@X)@Y) = X)))=$true)),inference(copy,[status(thm)],[317])). 18.87/19.13 thf(579,plain,(((![X:a,Y:a]: ((less_eq@((inf@X)@Y))@X))=$true)),inference(copy,[status(thm)],[316])). 18.87/19.13 thf(580,plain,(((finite40241356em_a_a@sup)=$true)),inference(copy,[status(thm)],[315])). 18.87/19.13 thf(581,plain,(((![X:a,A:a]: ((~ ((less_eq@X)@A)) | (![B:a]: ((~ ((less_eq@X)@B)) | ((less_eq@X)@((inf@A)@B))))))=$true)),inference(copy,[status(thm)],[445])). 18.87/19.13 thf(582,plain,((((^[Y3:a,Z3:a]: (Y3 = Z3)) = (^[A3:a,B2:a]: (((less_eq@B2)@A3) & ((less_eq@A3)@B2))))=$true)),inference(copy,[status(thm)],[313])). 18.87/19.13 thf(583,plain,(((![A:a,B:a]: ((~ (A = B)) | (![C:a]: ((~ ((less_eq@B)@C)) | ((less_eq@A)@C)))))=$true)),inference(copy,[status(thm)],[444])). 18.87/19.13 thf(584,plain,(((![B:a,A:a]: ((~ ((less_eq@B)@A)) | ((~ ((less_eq@A)@B)) | (A = B))))=$true)),inference(copy,[status(thm)],[443])). 18.87/19.13 thf(585,plain,(((![F:(a>(a>a))]: ((~ (semilattice_a@F)) | (![A:a,B:a]: (((F@A)@((F@A)@B)) = ((F@A)@B)))))=$true)),inference(copy,[status(thm)],[442])). 18.87/19.13 thf(586,plain,(((![P:(a>$o),X:a]: ((~ (P@X)) | (((P@((sK13_Y2@X)@P)) & (~ ((less_eq@((sK13_Y2@X)@P))@X))) | (((greatest_a@less_eq)@P) = X))))=$true)),inference(copy,[status(thm)],[441])). 18.87/19.13 thf(587,plain,(((![L:a,H:a,L2:a,H2:a]: (((((set_atLeastAtMost_a@less_eq)@L)@H) = (((set_atLeastAtMost_a@less_eq)@L2)@H2)) = (((~ ((less_eq@L2)@H2)) & (~ ((less_eq@L)@H))) | ((L = L2) & (H = H2)))))=$true)),inference(copy,[status(thm)],[308])). 18.87/19.13 thf(588,plain,(((![F:(a>(a>a))]: ((~ (semilattice_a@F)) | (![A:a]: (((F@A)@A) = A))))=$true)),inference(copy,[status(thm)],[440])). 18.87/19.13 thf(589,plain,(((![F:(a>(a>a)),B:a]: ((~ (abel_semigroup_a@F)) | (![A:a,C:a]: (((F@B)@((F@A)@C)) = ((F@A)@((F@B)@C))))))=$true)),inference(copy,[status(thm)],[439])). 18.87/19.13 thf(590,plain,((((![A:a,B:a]: ((~ ((less_eq@A)@B)) | ((((max_a@less_eq)@A)@B) = B))) & (![A:a,B:a]: (((less_eq@A)@B) | ((((max_a@less_eq)@A)@B) = A))))=$true)),inference(copy,[status(thm)],[438])). 18.87/19.13 thf(591,plain,((((![A:a,B:a]: (((less_eq@A)@B) | ((((min_a@less_eq)@A)@B) = B))) & (![A:a,B:a]: ((~ ((less_eq@A)@B)) | ((((min_a@less_eq)@A)@B) = A))))=$true)),inference(copy,[status(thm)],[437])). 18.87/19.13 thf(592,plain,(((semigroup_a = (^[F2:(a>(a>a))]: (![A3:a,B2:a,C3:a]: (((F2@((F2@A3)@B2))@C3) = ((F2@A3)@((F2@B2)@C3))))))=$true)),inference(copy,[status(thm)],[303])). 18.87/19.13 thf(593,plain,((((^[Y3:a,Z3:a]: (Y3 = Z3)) = (^[X3:a,Y4:a]: (((less_eq@X3)@Y4) & ((less_eq@Y4)@X3))))=$true)),inference(copy,[status(thm)],[302])). 18.87/19.13 thf(594,plain,(((![F:(a>(a>a))]: ((~ (semilattice_a@F)) | (![A:a,B:a]: (((F@((F@A)@B))@B) = ((F@A)@B)))))=$true)),inference(copy,[status(thm)],[436])). 18.87/19.13 thf(595,plain,(((![F:(a>(a>a))]: ((~ (abel_semigroup_a@F)) | (![A:a,B:a]: (((F@A)@B) = ((F@B)@A)))))=$true)),inference(copy,[status(thm)],[435])). 18.87/19.13 thf(596,plain,(((![F:(a>(a>a))]: ((~ (lattic1885654924_set_a@F)) | (semilattice_a@F)))=$true)),inference(copy,[status(thm)],[434])). 18.87/19.13 thf(597,plain,(((![F:(a>(a>a))]: ((~ (abel_semigroup_a@F)) | (semigroup_a@F)))=$true)),inference(copy,[status(thm)],[433])). 18.87/19.13 thf(598,plain,(((lattic1885654924_set_a = semilattice_a)=$true)),inference(copy,[status(thm)],[297])). 18.87/19.13 thf(599,plain,(((![P:(a>$o),X:a]: ((~ (P@X)) | (((P@((sK12_Y2@X)@P)) & (~ ((less_eq@X)@((sK12_Y2@X)@P)))) | (((least_a@less_eq)@P) = X))))=$true)),inference(copy,[status(thm)],[432])). 18.87/19.13 thf(600,plain,(((![P:(a>$o)]: ((![X4:a]: ((((![SY354:a]: ((~ (P@SY354)) | ((less_eq@((sK11_Y2@X4)@P))@SY354))) & (P@((sK11_Y2@X4)@P))) & (~ (((sK11_Y2@X4)@P) = X4))) | (((P@((sK10_Y2@X4)@P)) & (~ ((less_eq@X4)@((sK10_Y2@X4)@P)))) | (~ (P@X4))))) | (P@((least_a@less_eq)@P))))=$true)),inference(copy,[status(thm)],[431])). 18.87/19.13 thf(601,plain,(((![B:a,A:a]: ((~ ((less_eq@B)@A)) | (![C:a]: ((~ ((less_eq@C)@B)) | ((less_eq@C)@A)))))=$true)),inference(copy,[status(thm)],[430])). 18.87/19.13 thf(602,plain,(((![F:(a>(a>a))]: ((~ (((F@((F@(sK7_A4@F))@(sK8_SY351@F)))@(sK9_SY353@F)) = ((F@(sK7_A4@F))@((F@(sK8_SY351@F))@(sK9_SY353@F))))) | (semigroup_a@F)))=$true)),inference(copy,[status(thm)],[429])). 18.87/19.13 thf(603,plain,(((![F:(a>(a>a))]: ((~ (finite40241356em_a_a@F)) | (![X:a,Z:a]: (((F@X)@((F@X)@Z)) = ((F@X)@Z)))))=$true)),inference(copy,[status(thm)],[428])). 18.87/19.13 thf(604,plain,(((![P:(a>$o),X:a]: ((~ (P@X)) | (((P@((sK6_Y2@X)@P)) & (~ ((less_eq@X)@((sK6_Y2@X)@P)))) | (![Q:(a>$o)]: (((P@(((sK5_X2@Q)@X)@P)) & ((![SY350:a]: ((~ (P@SY350)) | ((less_eq@(((sK5_X2@Q)@X)@P))@SY350))) & (~ (Q@(((sK5_X2@Q)@X)@P))))) | (Q@((least_a@less_eq)@P)))))))=$true)),inference(copy,[status(thm)],[427])). 18.87/19.13 thf(605,plain,((($true)=$true)),inference(copy,[status(thm)],[426])). 18.87/19.13 thf(606,plain,(((![F:(a>(a>a)),A:a]: ((~ (semigroup_a@F)) | (![B:a,C:a]: (((F@((F@A)@B))@C) = ((F@A)@((F@B)@C))))))=$true)),inference(copy,[status(thm)],[425])). 18.87/19.13 thf(607,plain,(((![X:a,Y:a]: ((~ ((less_eq@X)@Y)) | (![Z:a]: ((~ ((less_eq@Y)@Z)) | ((less_eq@X)@Z)))))=$true)),inference(copy,[status(thm)],[424])). 18.87/19.13 thf(608,plain,(((![X:a,Y:a]: ((~ (X = Y)) | ((less_eq@X)@Y)))=$true)),inference(copy,[status(thm)],[423])). 18.87/19.13 thf(609,plain,(((![F:(a>(a>a))]: ((~ (semilattice_a@F)) | (lattic1885654924_set_a@F)))=$true)),inference(copy,[status(thm)],[422])). 18.87/19.13 thf(610,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | ((~ ((less_eq@B)@A)) | (A = B))))=$true)),inference(copy,[status(thm)],[421])). 18.87/19.13 thf(611,plain,(((![P:(a>$o),X:a]: ((~ (P@X)) | (((P@((sK4_Y2@X)@P)) & (~ ((less_eq@((sK4_Y2@X)@P))@X))) | (![Q:(a>$o)]: (((P@(((sK3_X2@Q)@X)@P)) & ((![SY349:a]: ((~ (P@SY349)) | ((less_eq@SY349)@(((sK3_X2@Q)@X)@P)))) & (~ (Q@(((sK3_X2@Q)@X)@P))))) | (Q@((greatest_a@less_eq)@P)))))))=$true)),inference(copy,[status(thm)],[420])). 18.87/19.13 thf(612,plain,(((![X:a,Y:a]: ((~ ((less_eq@X)@Y)) | ((~ ((less_eq@Y)@X)) | (X = Y))))=$true)),inference(copy,[status(thm)],[419])). 18.87/19.13 thf(613,plain,(((![A:a]: ((less_eq@A)@A))=$true)),inference(copy,[status(thm)],[282])). 18.87/19.13 thf(614,plain,(((![F:(a>(a>a))]: ((~ (semilattice_a@F)) | (abel_semigroup_a@F)))=$true)),inference(copy,[status(thm)],[418])). 18.87/19.13 thf(615,plain,(((transp_a@less_eq)=$true)),inference(copy,[status(thm)],[280])). 18.87/19.13 thf(616,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | (![C:a]: ((~ ((less_eq@B)@C)) | ((less_eq@A)@C)))))=$true)),inference(copy,[status(thm)],[417])). 18.87/19.13 thf(617,plain,((((^[Y3:a,Z3:a]: (Y3 = Z3)) = (^[A3:a,B2:a]: (((less_eq@A3)@B2) & ((less_eq@B2)@A3))))=$true)),inference(copy,[status(thm)],[278])). 18.87/19.13 thf(618,plain,(((![A:a,B:a]: ((~ ((less_eq@A)@B)) | (![C:a]: ((~ (B = C)) | ((less_eq@A)@C)))))=$true)),inference(copy,[status(thm)],[416])). 18.87/19.13 thf(619,plain,(((![Y:a,X:a]: ((~ ((less_eq@Y)@X)) | (((less_eq@X)@Y) = (X = Y))))=$true)),inference(copy,[status(thm)],[415])). 18.87/19.13 thf(620,plain,(((![P:(a>$o)]: ((![X4:a]: ((((![SY348:a]: ((~ (P@SY348)) | ((less_eq@((sK2_Y2@X4)@P))@SY348))) & (P@((sK2_Y2@X4)@P))) & (~ (((sK2_Y2@X4)@P) = X4))) | (((P@((sK1_Y2@X4)@P)) & (~ ((less_eq@X4)@((sK1_Y2@X4)@P)))) | (~ (P@X4))))) | (![Z:a]: ((~ (P@Z)) | ((less_eq@((least_a@less_eq)@P))@Z)))))=$true)),inference(copy,[status(thm)],[414])). 18.87/19.13 thf(621,plain,(((![X:a]: ((less_eq@X)@X))=$true)),inference(copy,[status(thm)],[274])). 18.87/19.13 thf(622,plain,(((~ ((((((modula1144073633_aux_a@inf)@sup)@b)@c)@a2) = (((((modula1144073633_aux_a@inf)@sup)@a2)@b)@c)))=$true)),inference(copy,[status(thm)],[413])). 18.87/19.13 thf(623,plain,(((![SX0:(a>$o)]: ((![SX1:a]: ((~ ((~ (~ ((~ (![SX2:a]: ((~ (SX0@SX2)) | ((less_eq@((sK2_Y2@SX1)@SX0))@SX2)))) | (~ (SX0@((sK2_Y2@SX1)@SX0)))))) | (~ (~ (((sK2_Y2@SX1)@SX0) = SX1))))) | ((~ ((~ (SX0@((sK1_Y2@SX1)@SX0))) | (~ (~ ((less_eq@SX1)@((sK1_Y2@SX1)@SX0)))))) | (~ (SX0@SX1))))) | (![SX1:a]: ((~ (SX0@SX1)) | ((less_eq@((least_a@less_eq)@SX0))@SX1)))))=$true)),inference(unfold_def,[status(thm)],[620])). 18.87/19.13 thf(624,plain,(((![SX0:a,SX1:a,SX2:a]: (((less_eq@SX0)@((inf@SX1)@SX2)) = (~ ((~ ((less_eq@SX0)@SX1)) | (~ ((less_eq@SX0)@SX2))))))=$true)),inference(unfold_def,[status(thm)],[494])). 18.87/19.13 thf(625,plain,(((![SX0:a]: (~ ((~ (![SX1:a,SX2:a]: ((~ ((less_eq@((sup@SX0)@SX1))@SX2)) | ((less_eq@SX0)@SX2)))) | (~ (![SX1:a,SX2:a]: ((~ ((less_eq@((sup@SX0)@SX1))@SX2)) | ((less_eq@SX1)@SX2)))))))=$true)),inference(unfold_def,[status(thm)],[531])). 18.87/19.13 thf(626,plain,(((![SX0:(a>$o),SX1:a]: ((~ (SX0@SX1)) | ((~ ((~ (SX0@((sK4_Y2@SX1)@SX0))) | (~ (~ ((less_eq@((sK4_Y2@SX1)@SX0))@SX1))))) | (![SX2:(a>$o)]: ((~ ((~ (SX0@(((sK3_X2@SX2)@SX1)@SX0))) | (~ (~ ((~ (![SX3:a]: ((~ (SX0@SX3)) | ((less_eq@SX3)@(((sK3_X2@SX2)@SX1)@SX0))))) | (~ (~ (SX2@(((sK3_X2@SX2)@SX1)@SX0))))))))) | (SX2@((greatest_a@less_eq)@SX0)))))))=$true)),inference(unfold_def,[status(thm)],[611])). 18.87/19.13 thf(627,plain,(((![SX0:(a>$o),SX1:a]: ((~ (SX0@SX1)) | ((~ ((~ (SX0@((sK12_Y2@SX1)@SX0))) | (~ (~ ((less_eq@SX1)@((sK12_Y2@SX1)@SX0)))))) | (((least_a@less_eq)@SX0) = SX1))))=$true)),inference(unfold_def,[status(thm)],[599])). 18.87/19.13 thf(628,plain,(((![SX0:(a>(a>a))]: ((~ ((less_eq@(sK26_X2@SX0))@((SX0@(sK26_X2@SX0))@(sK27_SY364@SX0)))) | ((~ ((less_eq@(sK25_SY363@SX0))@((SX0@(sK24_X2@SX0))@(sK25_SY363@SX0)))) | ((~ ((~ ((less_eq@(sK22_SY360@SX0))@(sK21_X2@SX0))) | (~ (~ ((~ ((less_eq@(sK23_SY362@SX0))@(sK21_X2@SX0))) | (~ (~ ((less_eq@((SX0@(sK22_SY360@SX0))@(sK23_SY362@SX0)))@(sK21_X2@SX0))))))))) | (![SX1:a,SX2:a]: (((sup@SX1)@SX2) = ((SX0@SX1)@SX2)))))))=$true)),inference(unfold_def,[status(thm)],[507])). 18.87/19.13 thf(629,plain,(((~ ((~ (![SX0:a,SX1:a]: ((~ ((less_eq@SX0)@SX1)) | ((((max_a@less_eq)@SX0)@SX1) = SX1)))) | (~ (![SX0:a,SX1:a]: (((less_eq@SX0)@SX1) | ((((max_a@less_eq)@SX0)@SX1) = SX0))))))=$true)),inference(unfold_def,[status(thm)],[590])). 18.87/19.13 thf(630,plain,(((![SX0:a,SX1:a,SX2:a]: (((less_eq@((sup@SX0)@SX1))@SX2) = (~ ((~ ((less_eq@SX1)@SX2)) | (~ ((less_eq@SX0)@SX2))))))=$true)),inference(unfold_def,[status(thm)],[491])). 18.87/19.13 thf(631,plain,((((^[SX0:a,SX1:a]: (SX0 = SX1)) = (^[SX0:a,SX1:a]: (~ ((~ ((less_eq@SX0)@SX1)) | (~ ((less_eq@SX1)@SX0))))))=$true)),inference(unfold_def,[status(thm)],[593])). 18.87/19.13 thf(632,plain,(((![SX0:(a>$o)]: ((![SX1:a]: ((~ ((~ (~ ((~ (![SX2:a]: ((~ (SX0@SX2)) | ((less_eq@((sK11_Y2@SX1)@SX0))@SX2)))) | (~ (SX0@((sK11_Y2@SX1)@SX0)))))) | (~ (~ (((sK11_Y2@SX1)@SX0) = SX1))))) | ((~ ((~ (SX0@((sK10_Y2@SX1)@SX0))) | (~ (~ ((less_eq@SX1)@((sK10_Y2@SX1)@SX0)))))) | (~ (SX0@SX1))))) | (SX0@((least_a@less_eq)@SX0))))=$true)),inference(unfold_def,[status(thm)],[600])). 18.87/19.13 thf(633,plain,(((![SX0:a,SX1:a,SX2:a,SX3:a]: (((((set_atLeastAtMost_a@less_eq)@SX0)@SX1) = (((set_atLeastAtMost_a@less_eq)@SX2)@SX3)) = ((~ ((~ (~ ((less_eq@SX2)@SX3))) | (~ (~ ((less_eq@SX0)@SX1))))) | (~ ((~ (SX0 = SX2)) | (~ (SX1 = SX3)))))))=$true)),inference(unfold_def,[status(thm)],[587])). 18.87/19.13 thf(634,plain,(((![SX0:(a>$o),SX1:a]: ((~ (SX0@SX1)) | ((~ ((~ (SX0@((sK6_Y2@SX1)@SX0))) | (~ (~ ((less_eq@SX1)@((sK6_Y2@SX1)@SX0)))))) | (![SX2:(a>$o)]: ((~ ((~ (SX0@(((sK5_X2@SX2)@SX1)@SX0))) | (~ (~ ((~ (![SX3:a]: ((~ (SX0@SX3)) | ((less_eq@(((sK5_X2@SX2)@SX1)@SX0))@SX3)))) | (~ (~ (SX2@(((sK5_X2@SX2)@SX1)@SX0))))))))) | (SX2@((least_a@less_eq)@SX0)))))))=$true)),inference(unfold_def,[status(thm)],[604])). 18.87/19.13 thf(635,plain,(((![SX0:(a>$o),SX1:a]: ((~ (SX0@SX1)) | ((~ ((~ (SX0@((sK13_Y2@SX1)@SX0))) | (~ (~ ((less_eq@((sK13_Y2@SX1)@SX0))@SX1))))) | (((greatest_a@less_eq)@SX0) = SX1))))=$true)),inference(unfold_def,[status(thm)],[586])). 18.87/19.13 thf(636,plain,((((^[SX0:a,SX1:a]: (SX0 = SX1)) = (^[SX0:a,SX1:a]: (~ ((~ ((less_eq@SX1)@SX0)) | (~ ((less_eq@SX0)@SX1))))))=$true)),inference(unfold_def,[status(thm)],[582])). 18.87/19.13 thf(637,plain,(((![SX0:a]: (~ ((~ (![SX1:a,SX2:a]: ((~ ((less_eq@((sup@SX0)@SX1))@SX2)) | ((less_eq@SX0)@SX2)))) | (~ (![SX1:a,SX2:a]: ((~ ((less_eq@((sup@SX0)@SX1))@SX2)) | ((less_eq@SX1)@SX2)))))))=$true)),inference(unfold_def,[status(thm)],[545])). 18.87/19.13 thf(638,plain,(((![SX0:a]: (~ ((~ (![SX1:a]: ((![SX2:a]: (~ ((less_eq@SX0)@((inf@SX1)@SX2)))) | ((less_eq@SX0)@SX1)))) | (~ (![SX1:a,SX2:a]: ((~ ((less_eq@SX0)@((inf@SX1)@SX2))) | ((less_eq@SX0)@SX2)))))))=$true)),inference(unfold_def,[status(thm)],[560])). 18.87/19.13 thf(639,plain,(((![SX0:a]: (~ ((~ (![SX1:a]: ((![SX2:a]: (~ ((less_eq@SX0)@((inf@SX1)@SX2)))) | ((less_eq@SX0)@SX1)))) | (~ (![SX1:a,SX2:a]: ((~ ((less_eq@SX0)@((inf@SX1)@SX2))) | ((less_eq@SX0)@SX2)))))))=$true)),inference(unfold_def,[status(thm)],[512])). 18.87/19.13 thf(640,plain,(((![SX0:a,SX1:a,SX2:a]: (((less_eq@((sup@SX0)@SX1))@SX2) = (~ ((~ ((less_eq@SX1)@SX2)) | (~ ((less_eq@SX0)@SX2))))))=$true)),inference(unfold_def,[status(thm)],[496])). 18.87/19.13 thf(641,plain,(((~ ((~ (![SX0:a,SX1:a]: (((less_eq@SX0)@SX1) | ((((min_a@less_eq)@SX0)@SX1) = SX1)))) | (~ (![SX0:a,SX1:a]: ((~ ((less_eq@SX0)@SX1)) | ((((min_a@less_eq)@SX0)@SX1) = SX0))))))=$true)),inference(unfold_def,[status(thm)],[591])). 18.87/19.13 thf(642,plain,((((^[SX0:a,SX1:a]: (SX0 = SX1)) = (^[SX0:a,SX1:a]: (~ ((~ ((less_eq@SX0)@SX1)) | (~ ((less_eq@SX1)@SX0))))))=$true)),inference(unfold_def,[status(thm)],[617])). 18.87/19.13 thf(643,plain,(((![SX0:(a>(a>a))]: ((~ ((less_eq@((SX0@(sK19_X2@SX0))@(sK20_SY359@SX0)))@(sK19_X2@SX0))) | ((~ ((less_eq@((SX0@(sK17_X2@SX0))@(sK18_SY358@SX0)))@(sK18_SY358@SX0))) | ((~ ((~ ((less_eq@(sK14_X2@SX0))@(sK15_SY355@SX0))) | (~ (~ ((~ ((less_eq@(sK14_X2@SX0))@(sK16_SY357@SX0))) | (~ (~ ((less_eq@(sK14_X2@SX0))@((SX0@(sK15_SY355@SX0))@(sK16_SY357@SX0)))))))))) | (![SX1:a,SX2:a]: (((inf@SX1)@SX2) = ((SX0@SX1)@SX2)))))))=$true)),inference(unfold_def,[status(thm)],[563])). 18.87/19.13 thf(644,plain,(((![SX0:a,SX1:a,SX2:a]: (((less_eq@SX0)@((inf@SX1)@SX2)) = (~ ((~ ((less_eq@SX0)@SX2)) | (~ ((less_eq@SX0)@SX1))))))=$true)),inference(unfold_def,[status(thm)],[488])). 18.87/19.13 thf(645,plain,(![SV1:a]: (((![SY371:a]: ((~ ((less_eq@SV1)@SY371)) | (((inf@SY371)@SV1) = SV1)))=$true))),inference(extcnf_forall_pos,[status(thm)],[483])). 18.87/19.13 thf(646,plain,(![SV2:a]: (((![SY372:a,SY373:a]: ((less_eq@((sup@SV2)@((inf@SY372)@SY373)))@((inf@((sup@SV2)@SY372))@((sup@SV2)@SY373))))=$true))),inference(extcnf_forall_pos,[status(thm)],[484])). 18.87/19.13 thf(647,plain,(![SV3:a]: ((((~ (((sup@(sK31_X2@SV3))@((inf@(sK32_SY368@SV3))@(sK33_SY370@SV3))) = ((inf@((sup@(sK31_X2@SV3))@(sK32_SY368@SV3)))@((sup@(sK31_X2@SV3))@(sK33_SY370@SV3))))) | (![SY374:a,SY375:a]: (((inf@SV3)@((sup@SY374)@SY375)) = ((sup@((inf@SV3)@SY374))@((inf@SV3)@SY375)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[485])). 18.87/19.13 thf(648,plain,(![SV4:a]: ((((~ (((inf@(sK28_X2@SV4))@((sup@(sK29_SY365@SV4))@(sK30_SY367@SV4))) = ((sup@((inf@(sK28_X2@SV4))@(sK29_SY365@SV4)))@((inf@(sK28_X2@SV4))@(sK30_SY367@SV4))))) | (![SY376:a,SY377:a]: (((sup@SV4)@((inf@SY376)@SY377)) = ((inf@((sup@SV4)@SY376))@((sup@SV4)@SY377)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[486])). 18.87/19.13 thf(649,plain,(![SV5:a]: (((![SY378:a]: ((~ ((less_eq@SV5)@SY378)) | (![SY379:a]: ((less_eq@SV5)@((sup@SY378)@SY379)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[487])). 18.87/19.13 thf(650,plain,(![SV6:a]: (((![SY380:a]: ((~ ((less_eq@SV6)@SY380)) | (![SY381:a,SY382:a]: ((~ ((less_eq@SY381)@SY382)) | ((less_eq@((inf@SV6)@SY381))@((inf@SY380)@SY382))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[489])). 18.87/19.13 thf(651,plain,(![SV7:a]: (((![SY383:a]: ((~ ((less_eq@SV7)@SY383)) | (![SY384:a]: ((less_eq@SV7)@((sup@SY383)@SY384)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[490])). 18.87/19.13 thf(652,plain,(![SV8:a]: (((![SY385:a]: ((~ ((less_eq@SV8)@SY385)) | (![SY386:a]: ((less_eq@((inf@SY386)@SV8))@SY385))))=$true))),inference(extcnf_forall_pos,[status(thm)],[492])). 18.87/19.13 thf(653,plain,(![SV9:a]: (((![SY387:a,SY388:a]: (((inf@((inf@SV9)@SY387))@SY388) = ((inf@SV9)@((inf@SY387)@SY388))))=$true))),inference(extcnf_forall_pos,[status(thm)],[493])). 18.87/19.13 thf(654,plain,(![SV10:a]: (((![SY389:a,SY390:a]: (((sup@SV10)@((sup@SY389)@SY390)) = ((sup@SY389)@((sup@SV10)@SY390))))=$true))),inference(extcnf_forall_pos,[status(thm)],[495])). 18.87/19.13 thf(655,plain,(![SV11:a]: (((![SY391:a]: (((inf@((inf@SV11)@SY391))@SY391) = ((inf@SV11)@SY391)))=$true))),inference(extcnf_forall_pos,[status(thm)],[497])). 18.87/19.13 thf(656,plain,(![SV12:a]: (((![SY392:a]: ((~ ((less_eq@SV12)@SY392)) | (![SY393:a]: ((~ ((less_eq@SY393)@SY392)) | ((less_eq@((sup@SV12)@SY393))@SY392)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[499])). 18.87/19.13 thf(657,plain,(![SV13:a]: (((![SY394:a]: (((sup@SV13)@SY394) = ((sup@SY394)@SV13)))=$true))),inference(extcnf_forall_pos,[status(thm)],[500])). 18.87/19.13 thf(658,plain,(![SV14:a]: (((![SY395:a]: ((~ ((less_eq@SV14)@SY395)) | (SV14 = ((inf@SV14)@SY395))))=$true))),inference(extcnf_forall_pos,[status(thm)],[501])). 18.87/19.13 thf(659,plain,(![SV15:a]: (((![SY396:a]: (((sup@SV15)@SY396) = ((sup@SY396)@SV15)))=$true))),inference(extcnf_forall_pos,[status(thm)],[502])). 18.87/19.13 thf(660,plain,(![SV16:a]: (((![SY397:a]: ((~ ((less_eq@SV16)@SY397)) | (![SY398:a,SY399:a]: ((~ ((less_eq@SY398)@SY399)) | ((less_eq@((sup@SV16)@SY398))@((sup@SY397)@SY399))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[504])). 18.87/19.13 thf(661,plain,(![SV17:a]: (((![SY400:a]: ((~ ((less_eq@SV17)@SY400)) | (((inf@SV17)@SY400) = SV17)))=$true))),inference(extcnf_forall_pos,[status(thm)],[505])). 18.87/19.13 thf(662,plain,(![SV18:a]: (((![SY401:a]: (((inf@SV18)@SY401) = ((inf@SY401)@SV18)))=$true))),inference(extcnf_forall_pos,[status(thm)],[506])). 18.87/19.13 thf(663,plain,(![SV19:a]: (((![SY402:a]: ((~ ((less_eq@SV19)@SY402)) | (![SY403:a]: ((less_eq@SV19)@((sup@SY403)@SY402)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[508])). 18.87/19.13 thf(664,plain,(![SV20:a]: (((![SY404:a]: (((inf@SV20)@((inf@SV20)@SY404)) = ((inf@SV20)@SY404)))=$true))),inference(extcnf_forall_pos,[status(thm)],[509])). 18.87/19.13 thf(665,plain,(![SV21:a]: (((![SY405:a]: (((less_eq@SV21)@SY405) = (SV21 = ((inf@SV21)@SY405))))=$true))),inference(extcnf_forall_pos,[status(thm)],[511])). 18.87/19.13 thf(666,plain,(![SV22:a]: (((![SY406:a]: (((inf@((inf@SV22)@SY406))@SY406) = ((inf@SV22)@SY406)))=$true))),inference(extcnf_forall_pos,[status(thm)],[514])). 18.87/19.13 thf(667,plain,(![SV23:a]: (((![SY407:a]: ((~ ((less_eq@SV23)@SY407)) | (![SY408:a]: ((less_eq@((inf@SY408)@SV23))@SY407))))=$true))),inference(extcnf_forall_pos,[status(thm)],[516])). 18.87/19.13 thf(668,plain,(![SV24:a]: (((![SY409:a]: (((inf@SV24)@SY409) = ((inf@SY409)@SV24)))=$true))),inference(extcnf_forall_pos,[status(thm)],[517])). 18.87/19.13 thf(669,plain,(![SV25:a]: (((((sup@SV25)@SV25) = SV25)=$true))),inference(extcnf_forall_pos,[status(thm)],[518])). 18.87/19.13 thf(670,plain,(![SV26:a]: (((![SY410:a]: (((sup@((sup@SV26)@SY410))@SY410) = ((sup@SV26)@SY410)))=$true))),inference(extcnf_forall_pos,[status(thm)],[519])). 18.87/19.13 thf(671,plain,(![SV27:a]: (((![SY411:a,SY412:a]: ((((((modula1936294176_aux_a@inf)@sup)@SV27)@SY411)@SY412) = ((sup@((sup@((inf@SV27)@SY411))@((inf@SY411)@SY412)))@((inf@SY412)@SV27))))=$true))),inference(extcnf_forall_pos,[status(thm)],[520])). 18.87/19.13 thf(672,plain,(![SV28:a]: (((![SY413:a]: ((~ (SV28 = ((sup@SV28)@SY413))) | ((less_eq@SY413)@SV28)))=$true))),inference(extcnf_forall_pos,[status(thm)],[521])). 18.87/19.13 thf(673,plain,(![SV29:a]: (((![SY414:a,SY415:a]: ((((((modula1936294176_aux_a@inf)@sup)@SV29)@SY414)@SY415) = (((((modula1936294176_aux_a@inf)@sup)@SY414)@SY415)@SV29)))=$true))),inference(extcnf_forall_pos,[status(thm)],[522])). 18.87/19.13 thf(674,plain,(![SV30:a]: (((![SY416:a,SY417:a]: (((sup@((sup@SV30)@SY416))@SY417) = ((sup@SV30)@((sup@SY416)@SY417))))=$true))),inference(extcnf_forall_pos,[status(thm)],[523])). 18.87/19.13 thf(675,plain,(![SV31:a]: (((![SY418:a]: (((less_eq@SV31)@SY418) = (((sup@SY418)@SV31) = SY418)))=$true))),inference(extcnf_forall_pos,[status(thm)],[524])). 18.87/19.13 thf(676,plain,(![SV32:a]: (((![SY419:a]: (((sup@SV32)@((sup@SV32)@SY419)) = ((sup@SV32)@SY419)))=$true))),inference(extcnf_forall_pos,[status(thm)],[526])). 18.87/19.13 thf(677,plain,(![SV33:a]: (((![SY420:a]: ((~ ((less_eq@SV33)@SY420)) | (![SY421:a,SY422:a]: ((~ ((less_eq@SY421)@SY422)) | ((less_eq@((sup@SV33)@SY421))@((sup@SY420)@SY422))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[527])). 18.87/19.13 thf(678,plain,(![SV34:a]: (((![SY423:a]: ((~ ((less_eq@SV34)@SY423)) | (![SY424:a]: ((~ ((less_eq@SV34)@SY424)) | ((less_eq@SV34)@((inf@SY423)@SY424))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[528])). 18.87/19.13 thf(679,plain,(![SV35:a]: (((![SY425:a]: ((~ ((less_eq@SV35)@SY425)) | (((inf@SY425)@SV35) = SV35)))=$true))),inference(extcnf_forall_pos,[status(thm)],[529])). 18.87/19.13 thf(680,plain,(![SV36:a]: (((![SY426:a]: ((less_eq@SV36)@((sup@SY426)@SV36)))=$true))),inference(extcnf_forall_pos,[status(thm)],[530])). 18.87/19.13 thf(681,plain,(![SV37:a]: (((![SY427:a]: ((less_eq@((inf@SV37)@SY427))@SV37))=$true))),inference(extcnf_forall_pos,[status(thm)],[533])). 18.87/19.13 thf(682,plain,(![SV38:a]: (((![SY428:a]: ((~ ((less_eq@SV38)@SY428)) | (![SY429:a]: ((~ ((less_eq@SV38)@SY429)) | ((less_eq@SV38)@((inf@SY428)@SY429))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[534])). 18.87/19.13 thf(683,plain,(![SV39:a]: (((![SY430:a,SY431:a]: ((less_eq@((sup@((inf@SV39)@SY430))@((inf@SV39)@SY431)))@((inf@SV39)@((sup@SY430)@SY431))))=$true))),inference(extcnf_forall_pos,[status(thm)],[535])). 18.87/19.13 thf(684,plain,(![SV40:a]: (((![SY432:a]: (((less_eq@SV40)@SY432) = (((inf@SY432)@SV40) = SV40)))=$true))),inference(extcnf_forall_pos,[status(thm)],[536])). 18.87/19.13 thf(685,plain,(![SV41:a]: (((![SY433:a]: ((~ ((less_eq@SV41)@SY433)) | (((sup@SY433)@SV41) = SY433)))=$true))),inference(extcnf_forall_pos,[status(thm)],[537])). 18.87/19.13 thf(686,plain,(![SV42:a]: (((![SY434:a]: (((sup@SV42)@((inf@SV42)@SY434)) = SV42))=$true))),inference(extcnf_forall_pos,[status(thm)],[538])). 18.87/19.13 thf(687,plain,(![SV43:a]: (((![SY435:a]: ((~ ((less_eq@SV43)@SY435)) | (((sup@SV43)@SY435) = SY435)))=$true))),inference(extcnf_forall_pos,[status(thm)],[539])). 18.87/19.13 thf(688,plain,(![SV44:a]: (((![SY436:a]: ((less_eq@SV44)@((sup@SY436)@SV44)))=$true))),inference(extcnf_forall_pos,[status(thm)],[540])). 18.87/19.13 thf(689,plain,(![SV45:a]: (((![SY437:a]: ((~ (SV45 = ((inf@SV45)@SY437))) | ((less_eq@SV45)@SY437)))=$true))),inference(extcnf_forall_pos,[status(thm)],[541])). 18.87/19.13 thf(690,plain,(![SV46:a]: (((![SY438:a]: ((~ ((less_eq@SV46)@SY438)) | (((inf@SV46)@SY438) = SV46)))=$true))),inference(extcnf_forall_pos,[status(thm)],[542])). 18.87/19.13 thf(691,plain,(![SV47:a]: (((((inf@SV47)@SV47) = SV47)=$true))),inference(extcnf_forall_pos,[status(thm)],[546])). 18.87/19.13 thf(692,plain,(![SV48:a]: (((![SY439:a,SY440:a]: (((inf@SV48)@((inf@SY439)@SY440)) = ((inf@SY439)@((inf@SV48)@SY440))))=$true))),inference(extcnf_forall_pos,[status(thm)],[547])). 18.87/19.13 thf(693,plain,(![SV49:a]: (((![SY441:a]: ((~ ((less_eq@SV49)@SY441)) | (((sup@SV49)@SY441) = SY441)))=$true))),inference(extcnf_forall_pos,[status(thm)],[548])). 18.87/19.13 thf(694,plain,(![SV50:a]: (((![SY442:a]: (((inf@SV50)@((sup@SV50)@SY442)) = SV50))=$true))),inference(extcnf_forall_pos,[status(thm)],[549])). 18.87/19.13 thf(695,plain,(![SV51:a]: (((![SY443:a,SY444:a]: (((inf@((inf@SV51)@SY443))@SY444) = ((inf@SV51)@((inf@SY443)@SY444))))=$true))),inference(extcnf_forall_pos,[status(thm)],[550])). 18.87/19.13 thf(696,plain,(![SV52:a]: (((![SY445:a,SY446:a]: ((((((modula1936294176_aux_a@inf)@sup)@SV52)@SY445)@SY446) = (((((modula1936294176_aux_a@inf)@sup)@SY446)@SV52)@SY445)))=$true))),inference(extcnf_forall_pos,[status(thm)],[551])). 18.87/19.13 thf(697,plain,(![SV53:a]: (((![SY447:a,SY448:a]: ((((((modula1144073633_aux_a@inf)@sup)@SV53)@SY447)@SY448) = ((inf@((inf@((sup@SV53)@SY447))@((sup@SY447)@SY448)))@((sup@SY448)@SV53))))=$true))),inference(extcnf_forall_pos,[status(thm)],[552])). 18.87/19.13 thf(698,plain,(![SV54:a]: (((((inf@SV54)@SV54) = SV54)=$true))),inference(extcnf_forall_pos,[status(thm)],[553])). 18.87/19.13 thf(699,plain,(![SV55:a]: (((![SY449:a]: ((~ ((less_eq@SV55)@SY449)) | (![SY450:a]: ((less_eq@((inf@SV55)@SY450))@SY449))))=$true))),inference(extcnf_forall_pos,[status(thm)],[554])). 18.87/19.13 thf(700,plain,(![SV56:a]: (((![SY451:a]: ((~ ((less_eq@SV56)@SY451)) | (![SY452:a]: ((~ ((less_eq@SY452)@SY451)) | ((less_eq@((sup@SV56)@SY452))@SY451)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[555])). 18.87/19.13 thf(701,plain,(![SV57:a]: (((![SY453:a]: ((less_eq@((inf@SV57)@SY453))@SY453))=$true))),inference(extcnf_forall_pos,[status(thm)],[556])). 18.87/19.13 thf(702,plain,(![SV58:a]: (((![SY454:a]: (((less_eq@SV58)@SY454) = (((inf@SV58)@SY454) = SV58)))=$true))),inference(extcnf_forall_pos,[status(thm)],[557])). 18.87/19.13 thf(703,plain,(![SV59:a]: (((![SY455:a,SY456:a]: (((sup@SV59)@((sup@SY455)@SY456)) = ((sup@SY455)@((sup@SV59)@SY456))))=$true))),inference(extcnf_forall_pos,[status(thm)],[558])). 18.87/19.13 thf(704,plain,(![SV60:a]: (((![SY457:a]: (((inf@SV60)@((inf@SV60)@SY457)) = ((inf@SV60)@SY457)))=$true))),inference(extcnf_forall_pos,[status(thm)],[559])). 18.87/19.13 thf(705,plain,(![SV61:a]: (((![SY458:a,SY459:a]: (((sup@((sup@SV61)@SY458))@SY459) = ((sup@SV61)@((sup@SY458)@SY459))))=$true))),inference(extcnf_forall_pos,[status(thm)],[561])). 18.87/19.13 thf(706,plain,(![SV62:a]: (((![SY460:a]: (((less_eq@SV62)@SY460) = (SY460 = ((sup@SY460)@SV62))))=$true))),inference(extcnf_forall_pos,[status(thm)],[562])). 18.87/19.13 thf(707,plain,(![SV63:a]: (((![SY461:a]: (((less_eq@SV63)@SY461) = (((sup@SV63)@SY461) = SY461)))=$true))),inference(extcnf_forall_pos,[status(thm)],[564])). 18.87/19.13 thf(708,plain,(![SV64:a]: (((![SY462:a,SY463:a]: (((inf@SV64)@((inf@SY462)@SY463)) = ((inf@SY462)@((inf@SV64)@SY463))))=$true))),inference(extcnf_forall_pos,[status(thm)],[565])). 18.87/19.13 thf(709,plain,(![SV65:a]: (((![SY464:a]: ((~ ((less_eq@SV65)@SY464)) | (SY464 = ((sup@SY464)@SV65))))=$true))),inference(extcnf_forall_pos,[status(thm)],[566])). 18.87/19.13 thf(710,plain,(![SV66:a]: (((![SY465:a]: ((less_eq@SV66)@((sup@SV66)@SY465)))=$true))),inference(extcnf_forall_pos,[status(thm)],[567])). 18.87/19.13 thf(711,plain,(![SV67:a]: (((![SY466:a]: ((~ ((less_eq@SV67)@SY466)) | (![SY467:a]: ((less_eq@SV67)@((sup@SY467)@SY466)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[568])). 18.87/19.13 thf(712,plain,(![SV68:a]: (((![SY468:a]: (((sup@SV68)@((sup@SV68)@SY468)) = ((sup@SV68)@SY468)))=$true))),inference(extcnf_forall_pos,[status(thm)],[569])). 18.87/19.13 thf(713,plain,(![SV69:a]: (((![SY469:a]: ((~ ((less_eq@SV69)@SY469)) | (![SY470:a]: ((less_eq@((inf@SV69)@SY470))@SY469))))=$true))),inference(extcnf_forall_pos,[status(thm)],[570])). 18.87/19.13 thf(714,plain,(![SV70:a]: (((![SY471:a]: ((~ ((less_eq@SV70)@SY471)) | (![SY472:a]: ((~ ((less_eq@SY472)@SY471)) | ((less_eq@((sup@SV70)@SY472))@SY471)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[572])). 18.87/19.13 thf(715,plain,(![SV71:a]: (((![SY473:a]: ((less_eq@((inf@SV71)@SY473))@SY473))=$true))),inference(extcnf_forall_pos,[status(thm)],[573])). 18.87/19.13 thf(716,plain,(![SV72:a]: (((![SY474:a]: ((less_eq@SV72)@((sup@SV72)@SY474)))=$true))),inference(extcnf_forall_pos,[status(thm)],[574])). 18.87/19.13 thf(717,plain,(![SV73:a]: (((((sup@SV73)@SV73) = SV73)=$true))),inference(extcnf_forall_pos,[status(thm)],[575])). 18.87/19.13 thf(718,plain,(![SV74:a]: (((![SY475:a]: ((~ ((less_eq@SV74)@SY475)) | (((sup@SY475)@SV74) = SY475)))=$true))),inference(extcnf_forall_pos,[status(thm)],[576])). 18.87/19.13 thf(719,plain,(![SV75:a]: (((![SY476:a]: (((less_eq@SV75)@SY476) = (((sup@SV75)@SY476) = SY476)))=$true))),inference(extcnf_forall_pos,[status(thm)],[577])). 18.87/19.13 thf(720,plain,(![SV76:a]: (((![SY477:a]: (((less_eq@SV76)@SY477) = (((inf@SV76)@SY477) = SV76)))=$true))),inference(extcnf_forall_pos,[status(thm)],[578])). 18.87/19.13 thf(721,plain,(![SV77:a]: (((![SY478:a]: ((less_eq@((inf@SV77)@SY478))@SV77))=$true))),inference(extcnf_forall_pos,[status(thm)],[579])). 18.87/19.13 thf(722,plain,(![SV78:a]: (((![SY479:a]: ((~ ((less_eq@SV78)@SY479)) | (![SY480:a]: ((~ ((less_eq@SV78)@SY480)) | ((less_eq@SV78)@((inf@SY479)@SY480))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[581])). 18.87/19.13 thf(723,plain,(![SV79:a]: (((![SY481:a]: ((~ (SV79 = SY481)) | (![SY482:a]: ((~ ((less_eq@SY481)@SY482)) | ((less_eq@SV79)@SY482)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[583])). 18.87/19.13 thf(724,plain,(![SV80:a]: (((![SY483:a]: ((~ ((less_eq@SV80)@SY483)) | ((~ ((less_eq@SY483)@SV80)) | (SY483 = SV80))))=$true))),inference(extcnf_forall_pos,[status(thm)],[584])). 18.87/19.13 thf(725,plain,(![SV81:(a>(a>a))]: ((((~ (semilattice_a@SV81)) | (![SY484:a,SY485:a]: (((SV81@SY484)@((SV81@SY484)@SY485)) = ((SV81@SY484)@SY485))))=$true))),inference(extcnf_forall_pos,[status(thm)],[585])). 18.87/19.13 thf(726,plain,(![SV82:(a>(a>a))]: ((((~ (semilattice_a@SV82)) | (![SY486:a]: (((SV82@SY486)@SY486) = SY486)))=$true))),inference(extcnf_forall_pos,[status(thm)],[588])). 18.87/19.13 thf(727,plain,(![SV83:(a>(a>a))]: (((![SY487:a]: ((~ (abel_semigroup_a@SV83)) | (![SY488:a,SY489:a]: (((SV83@SY487)@((SV83@SY488)@SY489)) = ((SV83@SY488)@((SV83@SY487)@SY489))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[589])). 18.87/19.13 thf(728,plain,(((![SV84:(a>(a>a))]: ((semigroup_a@SV84) = (![SY490:a,SY491:a,SY492:a]: (((SV84@((SV84@SY490)@SY491))@SY492) = ((SV84@SY490)@((SV84@SY491)@SY492))))))=$true)),inference(extcnf_equal_pos,[status(thm)],[592])). 18.87/19.13 thf(729,plain,(((semigroup_a = (^[F2:(a>(a>a))]: (![A3:a,B2:a,C3:a]: (((F2@((F2@A3)@B2))@C3) = ((F2@A3)@((F2@B2)@C3))))))=$true)),inference(extcnf_equal_pos,[status(thm)],[592])). 18.87/19.13 thf(730,plain,(![SV85:(a>(a>a))]: ((((~ (semilattice_a@SV85)) | (![SY493:a,SY494:a]: (((SV85@((SV85@SY493)@SY494))@SY494) = ((SV85@SY493)@SY494))))=$true))),inference(extcnf_forall_pos,[status(thm)],[594])). 18.87/19.13 thf(731,plain,(![SV86:(a>(a>a))]: ((((~ (abel_semigroup_a@SV86)) | (![SY495:a,SY496:a]: (((SV86@SY495)@SY496) = ((SV86@SY496)@SY495))))=$true))),inference(extcnf_forall_pos,[status(thm)],[595])). 18.87/19.13 thf(732,plain,(![SV87:(a>(a>a))]: ((((~ (lattic1885654924_set_a@SV87)) | (semilattice_a@SV87))=$true))),inference(extcnf_forall_pos,[status(thm)],[596])). 18.87/19.13 thf(733,plain,(![SV88:(a>(a>a))]: ((((~ (abel_semigroup_a@SV88)) | (semigroup_a@SV88))=$true))),inference(extcnf_forall_pos,[status(thm)],[597])). 18.87/19.13 thf(734,plain,(((![SV89:(a>(a>a))]: ((lattic1885654924_set_a@SV89) = (semilattice_a@SV89)))=$true)),inference(extcnf_equal_pos,[status(thm)],[598])). 18.87/19.13 thf(735,plain,(((lattic1885654924_set_a = semilattice_a)=$true)),inference(extcnf_equal_pos,[status(thm)],[598])). 18.87/19.13 thf(736,plain,(![SV90:a]: (((![SY497:a]: ((~ ((less_eq@SV90)@SY497)) | (![SY498:a]: ((~ ((less_eq@SY498)@SV90)) | ((less_eq@SY498)@SY497)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[601])). 18.87/19.13 thf(737,plain,(![SV91:(a>(a>a))]: ((((~ (((SV91@((SV91@(sK7_A4@SV91))@(sK8_SY351@SV91)))@(sK9_SY353@SV91)) = ((SV91@(sK7_A4@SV91))@((SV91@(sK8_SY351@SV91))@(sK9_SY353@SV91))))) | (semigroup_a@SV91))=$true))),inference(extcnf_forall_pos,[status(thm)],[602])). 18.87/19.13 thf(738,plain,(![SV92:(a>(a>a))]: ((((~ (finite40241356em_a_a@SV92)) | (![SY499:a,SY500:a]: (((SV92@SY499)@((SV92@SY499)@SY500)) = ((SV92@SY499)@SY500))))=$true))),inference(extcnf_forall_pos,[status(thm)],[603])). 18.87/19.13 thf(739,plain,(![SV93:(a>(a>a))]: (((![SY501:a]: ((~ (semigroup_a@SV93)) | (![SY502:a,SY503:a]: (((SV93@((SV93@SY501)@SY502))@SY503) = ((SV93@SY501)@((SV93@SY502)@SY503))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[606])). 18.87/19.13 thf(740,plain,(![SV94:a]: (((![SY504:a]: ((~ ((less_eq@SV94)@SY504)) | (![SY505:a]: ((~ ((less_eq@SY504)@SY505)) | ((less_eq@SV94)@SY505)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[607])). 18.87/19.13 thf(741,plain,(![SV95:a]: (((![SY506:a]: ((~ (SV95 = SY506)) | ((less_eq@SV95)@SY506)))=$true))),inference(extcnf_forall_pos,[status(thm)],[608])). 18.87/19.13 thf(742,plain,(![SV96:(a>(a>a))]: ((((~ (semilattice_a@SV96)) | (lattic1885654924_set_a@SV96))=$true))),inference(extcnf_forall_pos,[status(thm)],[609])). 18.87/19.13 thf(743,plain,(![SV97:a]: (((![SY507:a]: ((~ ((less_eq@SV97)@SY507)) | ((~ ((less_eq@SY507)@SV97)) | (SV97 = SY507))))=$true))),inference(extcnf_forall_pos,[status(thm)],[610])). 18.87/19.13 thf(744,plain,(![SV98:a]: (((![SY508:a]: ((~ ((less_eq@SV98)@SY508)) | ((~ ((less_eq@SY508)@SV98)) | (SV98 = SY508))))=$true))),inference(extcnf_forall_pos,[status(thm)],[612])). 18.87/19.13 thf(745,plain,(![SV99:a]: ((((less_eq@SV99)@SV99)=$true))),inference(extcnf_forall_pos,[status(thm)],[613])). 18.87/19.13 thf(746,plain,(![SV100:(a>(a>a))]: ((((~ (semilattice_a@SV100)) | (abel_semigroup_a@SV100))=$true))),inference(extcnf_forall_pos,[status(thm)],[614])). 18.87/19.13 thf(747,plain,(![SV101:a]: (((![SY509:a]: ((~ ((less_eq@SV101)@SY509)) | (![SY510:a]: ((~ ((less_eq@SY509)@SY510)) | ((less_eq@SV101)@SY510)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[616])). 18.87/19.13 thf(748,plain,(![SV102:a]: (((![SY511:a]: ((~ ((less_eq@SV102)@SY511)) | (![SY512:a]: ((~ (SY511 = SY512)) | ((less_eq@SV102)@SY512)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[618])). 18.87/19.13 thf(749,plain,(![SV103:a]: (((![SY513:a]: ((~ ((less_eq@SV103)@SY513)) | (((less_eq@SY513)@SV103) = (SY513 = SV103))))=$true))),inference(extcnf_forall_pos,[status(thm)],[619])). 18.87/19.13 thf(750,plain,(![SV104:a]: ((((less_eq@SV104)@SV104)=$true))),inference(extcnf_forall_pos,[status(thm)],[621])). 18.87/19.13 thf(751,plain,((((((((modula1144073633_aux_a@inf)@sup)@b)@c)@a2) = (((((modula1144073633_aux_a@inf)@sup)@a2)@b)@c))=$false)),inference(extcnf_not_pos,[status(thm)],[622])). 18.87/19.13 thf(752,plain,(![SV105:(a>$o)]: ((((![SY514:a]: ((~ ((~ (~ ((~ (![SY515:a]: ((~ (SV105@SY515)) | ((less_eq@((sK2_Y2@SY514)@SV105))@SY515)))) | (~ (SV105@((sK2_Y2@SY514)@SV105)))))) | (~ (~ (((sK2_Y2@SY514)@SV105) = SY514))))) | ((~ ((~ (SV105@((sK1_Y2@SY514)@SV105))) | (~ (~ ((less_eq@SY514)@((sK1_Y2@SY514)@SV105)))))) | (~ (SV105@SY514))))) | (![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516))))=$true))),inference(extcnf_forall_pos,[status(thm)],[623])). 18.87/19.13 thf(753,plain,(![SV106:a]: (((![SY517:a,SY518:a]: (((less_eq@SV106)@((inf@SY517)@SY518)) = (~ ((~ ((less_eq@SV106)@SY517)) | (~ ((less_eq@SV106)@SY518))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[624])). 18.87/19.13 thf(754,plain,(![SV107:a]: (((~ ((~ (![SY519:a,SY520:a]: ((~ ((less_eq@((sup@SV107)@SY519))@SY520)) | ((less_eq@SV107)@SY520)))) | (~ (![SY521:a,SY522:a]: ((~ ((less_eq@((sup@SV107)@SY521))@SY522)) | ((less_eq@SY521)@SY522))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[625])). 18.87/19.13 thf(755,plain,(![SV108:(a>$o)]: (((![SY523:a]: ((~ (SV108@SY523)) | ((~ ((~ (SV108@((sK4_Y2@SY523)@SV108))) | (~ (~ ((less_eq@((sK4_Y2@SY523)@SV108))@SY523))))) | (![SY524:(a>$o)]: ((~ ((~ (SV108@(((sK3_X2@SY524)@SY523)@SV108))) | (~ (~ ((~ (![SY525:a]: ((~ (SV108@SY525)) | ((less_eq@SY525)@(((sK3_X2@SY524)@SY523)@SV108))))) | (~ (~ (SY524@(((sK3_X2@SY524)@SY523)@SV108))))))))) | (SY524@((greatest_a@less_eq)@SV108)))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[626])). 18.87/19.13 thf(756,plain,(![SV109:(a>$o)]: (((![SY526:a]: ((~ (SV109@SY526)) | ((~ ((~ (SV109@((sK12_Y2@SY526)@SV109))) | (~ (~ ((less_eq@SY526)@((sK12_Y2@SY526)@SV109)))))) | (((least_a@less_eq)@SV109) = SY526))))=$true))),inference(extcnf_forall_pos,[status(thm)],[627])). 18.87/19.13 thf(757,plain,(![SV110:(a>(a>a))]: ((((~ ((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))) | ((~ ((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))) | ((~ ((~ ((less_eq@(sK22_SY360@SV110))@(sK21_X2@SV110))) | (~ (~ ((~ ((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110))) | (~ (~ ((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110))))))))) | (![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[628])). 18.87/19.13 thf(758,plain,((((~ (![SX0:a,SX1:a]: ((~ ((less_eq@SX0)@SX1)) | ((((max_a@less_eq)@SX0)@SX1) = SX1)))) | (~ (![SX0:a,SX1:a]: (((less_eq@SX0)@SX1) | ((((max_a@less_eq)@SX0)@SX1) = SX0)))))=$false)),inference(extcnf_not_pos,[status(thm)],[629])). 18.87/19.13 thf(759,plain,(![SV111:a]: (((![SY529:a,SY530:a]: (((less_eq@((sup@SV111)@SY529))@SY530) = (~ ((~ ((less_eq@SY529)@SY530)) | (~ ((less_eq@SV111)@SY530))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[630])). 18.87/19.13 thf(760,plain,(((![SV112:a]: ((^[SY531:a]: (SV112 = SY531)) = (^[SY532:a]: (~ ((~ ((less_eq@SV112)@SY532)) | (~ ((less_eq@SY532)@SV112)))))))=$true)),inference(extcnf_equal_pos,[status(thm)],[631])). 18.87/19.13 thf(761,plain,((((^[SX0:a,SX1:a]: (SX0 = SX1)) = (^[SX0:a,SX1:a]: (~ ((~ ((less_eq@SX0)@SX1)) | (~ ((less_eq@SX1)@SX0))))))=$true)),inference(extcnf_equal_pos,[status(thm)],[631])). 18.87/19.13 thf(762,plain,(![SV113:(a>$o)]: ((((![SY533:a]: ((~ ((~ (~ ((~ (![SY534:a]: ((~ (SV113@SY534)) | ((less_eq@((sK11_Y2@SY533)@SV113))@SY534)))) | (~ (SV113@((sK11_Y2@SY533)@SV113)))))) | (~ (~ (((sK11_Y2@SY533)@SV113) = SY533))))) | ((~ ((~ (SV113@((sK10_Y2@SY533)@SV113))) | (~ (~ ((less_eq@SY533)@((sK10_Y2@SY533)@SV113)))))) | (~ (SV113@SY533))))) | (SV113@((least_a@less_eq)@SV113)))=$true))),inference(extcnf_forall_pos,[status(thm)],[632])). 18.87/19.13 thf(763,plain,(![SV114:a]: (((![SY535:a,SY536:a,SY537:a]: (((((set_atLeastAtMost_a@less_eq)@SV114)@SY535) = (((set_atLeastAtMost_a@less_eq)@SY536)@SY537)) = ((~ ((~ (~ ((less_eq@SY536)@SY537))) | (~ (~ ((less_eq@SV114)@SY535))))) | (~ ((~ (SV114 = SY536)) | (~ (SY535 = SY537)))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[633])). 18.87/19.13 thf(764,plain,(![SV115:(a>$o)]: (((![SY538:a]: ((~ (SV115@SY538)) | ((~ ((~ (SV115@((sK6_Y2@SY538)@SV115))) | (~ (~ ((less_eq@SY538)@((sK6_Y2@SY538)@SV115)))))) | (![SY539:(a>$o)]: ((~ ((~ (SV115@(((sK5_X2@SY539)@SY538)@SV115))) | (~ (~ ((~ (![SY540:a]: ((~ (SV115@SY540)) | ((less_eq@(((sK5_X2@SY539)@SY538)@SV115))@SY540)))) | (~ (~ (SY539@(((sK5_X2@SY539)@SY538)@SV115))))))))) | (SY539@((least_a@less_eq)@SV115)))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[634])). 18.87/19.13 thf(765,plain,(![SV116:(a>$o)]: (((![SY541:a]: ((~ (SV116@SY541)) | ((~ ((~ (SV116@((sK13_Y2@SY541)@SV116))) | (~ (~ ((less_eq@((sK13_Y2@SY541)@SV116))@SY541))))) | (((greatest_a@less_eq)@SV116) = SY541))))=$true))),inference(extcnf_forall_pos,[status(thm)],[635])). 18.87/19.13 thf(766,plain,(((![SV117:a]: ((^[SY542:a]: (SV117 = SY542)) = (^[SY543:a]: (~ ((~ ((less_eq@SY543)@SV117)) | (~ ((less_eq@SV117)@SY543)))))))=$true)),inference(extcnf_equal_pos,[status(thm)],[636])). 18.87/19.13 thf(767,plain,((((^[SX0:a,SX1:a]: (SX0 = SX1)) = (^[SX0:a,SX1:a]: (~ ((~ ((less_eq@SX1)@SX0)) | (~ ((less_eq@SX0)@SX1))))))=$true)),inference(extcnf_equal_pos,[status(thm)],[636])). 18.87/19.13 thf(768,plain,(![SV118:a]: (((~ ((~ (![SY544:a,SY545:a]: ((~ ((less_eq@((sup@SV118)@SY544))@SY545)) | ((less_eq@SV118)@SY545)))) | (~ (![SY546:a,SY547:a]: ((~ ((less_eq@((sup@SV118)@SY546))@SY547)) | ((less_eq@SY546)@SY547))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[637])). 18.87/19.13 thf(769,plain,(![SV119:a]: (((~ ((~ (![SY548:a]: ((![SY549:a]: (~ ((less_eq@SV119)@((inf@SY548)@SY549)))) | ((less_eq@SV119)@SY548)))) | (~ (![SY550:a,SY551:a]: ((~ ((less_eq@SV119)@((inf@SY550)@SY551))) | ((less_eq@SV119)@SY551))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[638])). 18.87/19.13 thf(770,plain,(![SV120:a]: (((~ ((~ (![SY552:a]: ((![SY553:a]: (~ ((less_eq@SV120)@((inf@SY552)@SY553)))) | ((less_eq@SV120)@SY552)))) | (~ (![SY554:a,SY555:a]: ((~ ((less_eq@SV120)@((inf@SY554)@SY555))) | ((less_eq@SV120)@SY555))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[639])). 18.87/19.13 thf(771,plain,(![SV121:a]: (((![SY556:a,SY557:a]: (((less_eq@((sup@SV121)@SY556))@SY557) = (~ ((~ ((less_eq@SY556)@SY557)) | (~ ((less_eq@SV121)@SY557))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[640])). 18.87/19.13 thf(772,plain,((((~ (![SX0:a,SX1:a]: (((less_eq@SX0)@SX1) | ((((min_a@less_eq)@SX0)@SX1) = SX1)))) | (~ (![SX0:a,SX1:a]: ((~ ((less_eq@SX0)@SX1)) | ((((min_a@less_eq)@SX0)@SX1) = SX0)))))=$false)),inference(extcnf_not_pos,[status(thm)],[641])). 18.87/19.13 thf(773,plain,(((![SV122:a]: ((^[SY558:a]: (SV122 = SY558)) = (^[SY559:a]: (~ ((~ ((less_eq@SV122)@SY559)) | (~ ((less_eq@SY559)@SV122)))))))=$true)),inference(extcnf_equal_pos,[status(thm)],[642])). 18.87/19.13 thf(774,plain,((((^[SX0:a,SX1:a]: (SX0 = SX1)) = (^[SX0:a,SX1:a]: (~ ((~ ((less_eq@SX0)@SX1)) | (~ ((less_eq@SX1)@SX0))))))=$true)),inference(extcnf_equal_pos,[status(thm)],[642])). 18.87/19.13 thf(775,plain,(![SV123:(a>(a>a))]: ((((~ ((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))) | ((~ ((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))) | ((~ ((~ ((less_eq@(sK14_X2@SV123))@(sK15_SY355@SV123))) | (~ (~ ((~ ((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123))) | (~ (~ ((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123)))))))))) | (![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[643])). 18.87/19.13 thf(776,plain,(![SV124:a]: (((![SY562:a,SY563:a]: (((less_eq@SV124)@((inf@SY562)@SY563)) = (~ ((~ ((less_eq@SV124)@SY563)) | (~ ((less_eq@SV124)@SY562))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[644])). 18.87/19.13 thf(777,plain,(![SV125:a,SV1:a]: ((((~ ((less_eq@SV1)@SV125)) | (((inf@SV125)@SV1) = SV1))=$true))),inference(extcnf_forall_pos,[status(thm)],[645])). 18.87/19.13 thf(778,plain,(![SV126:a,SV2:a]: (((![SY564:a]: ((less_eq@((sup@SV2)@((inf@SV126)@SY564)))@((inf@((sup@SV2)@SV126))@((sup@SV2)@SY564))))=$true))),inference(extcnf_forall_pos,[status(thm)],[646])). 18.87/19.13 thf(779,plain,(![SV3:a]: (((~ (((sup@(sK31_X2@SV3))@((inf@(sK32_SY368@SV3))@(sK33_SY370@SV3))) = ((inf@((sup@(sK31_X2@SV3))@(sK32_SY368@SV3)))@((sup@(sK31_X2@SV3))@(sK33_SY370@SV3)))))=$true) | ((![SY374:a,SY375:a]: (((inf@SV3)@((sup@SY374)@SY375)) = ((sup@((inf@SV3)@SY374))@((inf@SV3)@SY375))))=$true))),inference(extcnf_or_pos,[status(thm)],[647])). 18.87/19.13 thf(780,plain,(![SV4:a]: (((~ (((inf@(sK28_X2@SV4))@((sup@(sK29_SY365@SV4))@(sK30_SY367@SV4))) = ((sup@((inf@(sK28_X2@SV4))@(sK29_SY365@SV4)))@((inf@(sK28_X2@SV4))@(sK30_SY367@SV4)))))=$true) | ((![SY376:a,SY377:a]: (((sup@SV4)@((inf@SY376)@SY377)) = ((inf@((sup@SV4)@SY376))@((sup@SV4)@SY377))))=$true))),inference(extcnf_or_pos,[status(thm)],[648])). 18.87/19.13 thf(781,plain,(![SV127:a,SV5:a]: ((((~ ((less_eq@SV5)@SV127)) | (![SY565:a]: ((less_eq@SV5)@((sup@SV127)@SY565))))=$true))),inference(extcnf_forall_pos,[status(thm)],[649])). 18.87/19.13 thf(782,plain,(![SV128:a,SV6:a]: ((((~ ((less_eq@SV6)@SV128)) | (![SY566:a,SY567:a]: ((~ ((less_eq@SY566)@SY567)) | ((less_eq@((inf@SV6)@SY566))@((inf@SV128)@SY567)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[650])). 18.87/19.13 thf(783,plain,(![SV129:a,SV7:a]: ((((~ ((less_eq@SV7)@SV129)) | (![SY568:a]: ((less_eq@SV7)@((sup@SV129)@SY568))))=$true))),inference(extcnf_forall_pos,[status(thm)],[651])). 18.87/19.13 thf(784,plain,(![SV130:a,SV8:a]: ((((~ ((less_eq@SV8)@SV130)) | (![SY569:a]: ((less_eq@((inf@SY569)@SV8))@SV130)))=$true))),inference(extcnf_forall_pos,[status(thm)],[652])). 18.87/19.13 thf(785,plain,(![SV131:a,SV9:a]: (((![SY570:a]: (((inf@((inf@SV9)@SV131))@SY570) = ((inf@SV9)@((inf@SV131)@SY570))))=$true))),inference(extcnf_forall_pos,[status(thm)],[653])). 18.87/19.13 thf(786,plain,(![SV132:a,SV10:a]: (((![SY571:a]: (((sup@SV10)@((sup@SV132)@SY571)) = ((sup@SV132)@((sup@SV10)@SY571))))=$true))),inference(extcnf_forall_pos,[status(thm)],[654])). 18.87/19.13 thf(787,plain,(![SV133:a,SV11:a]: (((((inf@((inf@SV11)@SV133))@SV133) = ((inf@SV11)@SV133))=$true))),inference(extcnf_forall_pos,[status(thm)],[655])). 18.87/19.13 thf(788,plain,(![SV134:a,SV12:a]: ((((~ ((less_eq@SV12)@SV134)) | (![SY572:a]: ((~ ((less_eq@SY572)@SV134)) | ((less_eq@((sup@SV12)@SY572))@SV134))))=$true))),inference(extcnf_forall_pos,[status(thm)],[656])). 18.87/19.13 thf(789,plain,(![SV135:a,SV13:a]: (((((sup@SV13)@SV135) = ((sup@SV135)@SV13))=$true))),inference(extcnf_forall_pos,[status(thm)],[657])). 18.87/19.13 thf(790,plain,(![SV136:a,SV14:a]: ((((~ ((less_eq@SV14)@SV136)) | (SV14 = ((inf@SV14)@SV136)))=$true))),inference(extcnf_forall_pos,[status(thm)],[658])). 18.87/19.13 thf(791,plain,(![SV137:a,SV15:a]: (((((sup@SV15)@SV137) = ((sup@SV137)@SV15))=$true))),inference(extcnf_forall_pos,[status(thm)],[659])). 18.87/19.13 thf(792,plain,(![SV138:a,SV16:a]: ((((~ ((less_eq@SV16)@SV138)) | (![SY573:a,SY574:a]: ((~ ((less_eq@SY573)@SY574)) | ((less_eq@((sup@SV16)@SY573))@((sup@SV138)@SY574)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[660])). 18.87/19.13 thf(793,plain,(![SV139:a,SV17:a]: ((((~ ((less_eq@SV17)@SV139)) | (((inf@SV17)@SV139) = SV17))=$true))),inference(extcnf_forall_pos,[status(thm)],[661])). 18.87/19.13 thf(794,plain,(![SV140:a,SV18:a]: (((((inf@SV18)@SV140) = ((inf@SV140)@SV18))=$true))),inference(extcnf_forall_pos,[status(thm)],[662])). 18.87/19.13 thf(795,plain,(![SV141:a,SV19:a]: ((((~ ((less_eq@SV19)@SV141)) | (![SY575:a]: ((less_eq@SV19)@((sup@SY575)@SV141))))=$true))),inference(extcnf_forall_pos,[status(thm)],[663])). 18.87/19.13 thf(796,plain,(![SV142:a,SV20:a]: (((((inf@SV20)@((inf@SV20)@SV142)) = ((inf@SV20)@SV142))=$true))),inference(extcnf_forall_pos,[status(thm)],[664])). 18.87/19.13 thf(797,plain,(![SV143:a,SV21:a]: (((((less_eq@SV21)@SV143) = (SV21 = ((inf@SV21)@SV143)))=$true))),inference(extcnf_forall_pos,[status(thm)],[665])). 18.87/19.13 thf(798,plain,(![SV144:a,SV22:a]: (((((inf@((inf@SV22)@SV144))@SV144) = ((inf@SV22)@SV144))=$true))),inference(extcnf_forall_pos,[status(thm)],[666])). 18.87/19.13 thf(799,plain,(![SV145:a,SV23:a]: ((((~ ((less_eq@SV23)@SV145)) | (![SY576:a]: ((less_eq@((inf@SY576)@SV23))@SV145)))=$true))),inference(extcnf_forall_pos,[status(thm)],[667])). 18.87/19.13 thf(800,plain,(![SV146:a,SV24:a]: (((((inf@SV24)@SV146) = ((inf@SV146)@SV24))=$true))),inference(extcnf_forall_pos,[status(thm)],[668])). 18.87/19.13 thf(801,plain,(![SV147:a,SV26:a]: (((((sup@((sup@SV26)@SV147))@SV147) = ((sup@SV26)@SV147))=$true))),inference(extcnf_forall_pos,[status(thm)],[670])). 18.87/19.13 thf(802,plain,(![SV148:a,SV27:a]: (((![SY577:a]: ((((((modula1936294176_aux_a@inf)@sup)@SV27)@SV148)@SY577) = ((sup@((sup@((inf@SV27)@SV148))@((inf@SV148)@SY577)))@((inf@SY577)@SV27))))=$true))),inference(extcnf_forall_pos,[status(thm)],[671])). 18.87/19.13 thf(803,plain,(![SV149:a,SV28:a]: ((((~ (SV28 = ((sup@SV28)@SV149))) | ((less_eq@SV149)@SV28))=$true))),inference(extcnf_forall_pos,[status(thm)],[672])). 18.87/19.13 thf(804,plain,(![SV150:a,SV29:a]: (((![SY578:a]: ((((((modula1936294176_aux_a@inf)@sup)@SV29)@SV150)@SY578) = (((((modula1936294176_aux_a@inf)@sup)@SV150)@SY578)@SV29)))=$true))),inference(extcnf_forall_pos,[status(thm)],[673])). 18.87/19.13 thf(805,plain,(![SV151:a,SV30:a]: (((![SY579:a]: (((sup@((sup@SV30)@SV151))@SY579) = ((sup@SV30)@((sup@SV151)@SY579))))=$true))),inference(extcnf_forall_pos,[status(thm)],[674])). 18.87/19.13 thf(806,plain,(![SV152:a,SV31:a]: (((((less_eq@SV31)@SV152) = (((sup@SV152)@SV31) = SV152))=$true))),inference(extcnf_forall_pos,[status(thm)],[675])). 18.87/19.13 thf(807,plain,(![SV153:a,SV32:a]: (((((sup@SV32)@((sup@SV32)@SV153)) = ((sup@SV32)@SV153))=$true))),inference(extcnf_forall_pos,[status(thm)],[676])). 18.87/19.13 thf(808,plain,(![SV154:a,SV33:a]: ((((~ ((less_eq@SV33)@SV154)) | (![SY580:a,SY581:a]: ((~ ((less_eq@SY580)@SY581)) | ((less_eq@((sup@SV33)@SY580))@((sup@SV154)@SY581)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[677])). 18.87/19.13 thf(809,plain,(![SV155:a,SV34:a]: ((((~ ((less_eq@SV34)@SV155)) | (![SY582:a]: ((~ ((less_eq@SV34)@SY582)) | ((less_eq@SV34)@((inf@SV155)@SY582)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[678])). 18.87/19.13 thf(810,plain,(![SV156:a,SV35:a]: ((((~ ((less_eq@SV35)@SV156)) | (((inf@SV156)@SV35) = SV35))=$true))),inference(extcnf_forall_pos,[status(thm)],[679])). 18.87/19.13 thf(811,plain,(![SV157:a,SV36:a]: ((((less_eq@SV36)@((sup@SV157)@SV36))=$true))),inference(extcnf_forall_pos,[status(thm)],[680])). 18.87/19.13 thf(812,plain,(![SV158:a,SV37:a]: ((((less_eq@((inf@SV37)@SV158))@SV37)=$true))),inference(extcnf_forall_pos,[status(thm)],[681])). 18.87/19.13 thf(813,plain,(![SV159:a,SV38:a]: ((((~ ((less_eq@SV38)@SV159)) | (![SY583:a]: ((~ ((less_eq@SV38)@SY583)) | ((less_eq@SV38)@((inf@SV159)@SY583)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[682])). 18.87/19.13 thf(814,plain,(![SV160:a,SV39:a]: (((![SY584:a]: ((less_eq@((sup@((inf@SV39)@SV160))@((inf@SV39)@SY584)))@((inf@SV39)@((sup@SV160)@SY584))))=$true))),inference(extcnf_forall_pos,[status(thm)],[683])). 18.87/19.13 thf(815,plain,(![SV161:a,SV40:a]: (((((less_eq@SV40)@SV161) = (((inf@SV161)@SV40) = SV40))=$true))),inference(extcnf_forall_pos,[status(thm)],[684])). 18.87/19.13 thf(816,plain,(![SV162:a,SV41:a]: ((((~ ((less_eq@SV41)@SV162)) | (((sup@SV162)@SV41) = SV162))=$true))),inference(extcnf_forall_pos,[status(thm)],[685])). 18.87/19.13 thf(817,plain,(![SV163:a,SV42:a]: (((((sup@SV42)@((inf@SV42)@SV163)) = SV42)=$true))),inference(extcnf_forall_pos,[status(thm)],[686])). 18.87/19.13 thf(818,plain,(![SV164:a,SV43:a]: ((((~ ((less_eq@SV43)@SV164)) | (((sup@SV43)@SV164) = SV164))=$true))),inference(extcnf_forall_pos,[status(thm)],[687])). 18.87/19.13 thf(819,plain,(![SV165:a,SV44:a]: ((((less_eq@SV44)@((sup@SV165)@SV44))=$true))),inference(extcnf_forall_pos,[status(thm)],[688])). 18.87/19.13 thf(820,plain,(![SV166:a,SV45:a]: ((((~ (SV45 = ((inf@SV45)@SV166))) | ((less_eq@SV45)@SV166))=$true))),inference(extcnf_forall_pos,[status(thm)],[689])). 18.87/19.13 thf(821,plain,(![SV167:a,SV46:a]: ((((~ ((less_eq@SV46)@SV167)) | (((inf@SV46)@SV167) = SV46))=$true))),inference(extcnf_forall_pos,[status(thm)],[690])). 18.87/19.13 thf(822,plain,(![SV168:a,SV48:a]: (((![SY585:a]: (((inf@SV48)@((inf@SV168)@SY585)) = ((inf@SV168)@((inf@SV48)@SY585))))=$true))),inference(extcnf_forall_pos,[status(thm)],[692])). 18.87/19.13 thf(823,plain,(![SV169:a,SV49:a]: ((((~ ((less_eq@SV49)@SV169)) | (((sup@SV49)@SV169) = SV169))=$true))),inference(extcnf_forall_pos,[status(thm)],[693])). 18.87/19.13 thf(824,plain,(![SV170:a,SV50:a]: (((((inf@SV50)@((sup@SV50)@SV170)) = SV50)=$true))),inference(extcnf_forall_pos,[status(thm)],[694])). 18.87/19.13 thf(825,plain,(![SV171:a,SV51:a]: (((![SY586:a]: (((inf@((inf@SV51)@SV171))@SY586) = ((inf@SV51)@((inf@SV171)@SY586))))=$true))),inference(extcnf_forall_pos,[status(thm)],[695])). 18.87/19.13 thf(826,plain,(![SV172:a,SV52:a]: (((![SY587:a]: ((((((modula1936294176_aux_a@inf)@sup)@SV52)@SV172)@SY587) = (((((modula1936294176_aux_a@inf)@sup)@SY587)@SV52)@SV172)))=$true))),inference(extcnf_forall_pos,[status(thm)],[696])). 18.87/19.13 thf(827,plain,(![SV173:a,SV53:a]: (((![SY588:a]: ((((((modula1144073633_aux_a@inf)@sup)@SV53)@SV173)@SY588) = ((inf@((inf@((sup@SV53)@SV173))@((sup@SV173)@SY588)))@((sup@SY588)@SV53))))=$true))),inference(extcnf_forall_pos,[status(thm)],[697])). 18.87/19.13 thf(828,plain,(![SV174:a,SV55:a]: ((((~ ((less_eq@SV55)@SV174)) | (![SY589:a]: ((less_eq@((inf@SV55)@SY589))@SV174)))=$true))),inference(extcnf_forall_pos,[status(thm)],[699])). 18.87/19.13 thf(829,plain,(![SV175:a,SV56:a]: ((((~ ((less_eq@SV56)@SV175)) | (![SY590:a]: ((~ ((less_eq@SY590)@SV175)) | ((less_eq@((sup@SV56)@SY590))@SV175))))=$true))),inference(extcnf_forall_pos,[status(thm)],[700])). 18.87/19.13 thf(830,plain,(![SV176:a,SV57:a]: ((((less_eq@((inf@SV57)@SV176))@SV176)=$true))),inference(extcnf_forall_pos,[status(thm)],[701])). 18.87/19.13 thf(831,plain,(![SV177:a,SV58:a]: (((((less_eq@SV58)@SV177) = (((inf@SV58)@SV177) = SV58))=$true))),inference(extcnf_forall_pos,[status(thm)],[702])). 18.87/19.13 thf(832,plain,(![SV178:a,SV59:a]: (((![SY591:a]: (((sup@SV59)@((sup@SV178)@SY591)) = ((sup@SV178)@((sup@SV59)@SY591))))=$true))),inference(extcnf_forall_pos,[status(thm)],[703])). 18.87/19.13 thf(833,plain,(![SV179:a,SV60:a]: (((((inf@SV60)@((inf@SV60)@SV179)) = ((inf@SV60)@SV179))=$true))),inference(extcnf_forall_pos,[status(thm)],[704])). 18.87/19.13 thf(834,plain,(![SV180:a,SV61:a]: (((![SY592:a]: (((sup@((sup@SV61)@SV180))@SY592) = ((sup@SV61)@((sup@SV180)@SY592))))=$true))),inference(extcnf_forall_pos,[status(thm)],[705])). 18.87/19.13 thf(835,plain,(![SV181:a,SV62:a]: (((((less_eq@SV62)@SV181) = (SV181 = ((sup@SV181)@SV62)))=$true))),inference(extcnf_forall_pos,[status(thm)],[706])). 18.87/19.13 thf(836,plain,(![SV182:a,SV63:a]: (((((less_eq@SV63)@SV182) = (((sup@SV63)@SV182) = SV182))=$true))),inference(extcnf_forall_pos,[status(thm)],[707])). 18.87/19.13 thf(837,plain,(![SV183:a,SV64:a]: (((![SY593:a]: (((inf@SV64)@((inf@SV183)@SY593)) = ((inf@SV183)@((inf@SV64)@SY593))))=$true))),inference(extcnf_forall_pos,[status(thm)],[708])). 18.87/19.13 thf(838,plain,(![SV184:a,SV65:a]: ((((~ ((less_eq@SV65)@SV184)) | (SV184 = ((sup@SV184)@SV65)))=$true))),inference(extcnf_forall_pos,[status(thm)],[709])). 18.87/19.13 thf(839,plain,(![SV185:a,SV66:a]: ((((less_eq@SV66)@((sup@SV66)@SV185))=$true))),inference(extcnf_forall_pos,[status(thm)],[710])). 18.87/19.13 thf(840,plain,(![SV186:a,SV67:a]: ((((~ ((less_eq@SV67)@SV186)) | (![SY594:a]: ((less_eq@SV67)@((sup@SY594)@SV186))))=$true))),inference(extcnf_forall_pos,[status(thm)],[711])). 18.87/19.13 thf(841,plain,(![SV187:a,SV68:a]: (((((sup@SV68)@((sup@SV68)@SV187)) = ((sup@SV68)@SV187))=$true))),inference(extcnf_forall_pos,[status(thm)],[712])). 18.87/19.13 thf(842,plain,(![SV188:a,SV69:a]: ((((~ ((less_eq@SV69)@SV188)) | (![SY595:a]: ((less_eq@((inf@SV69)@SY595))@SV188)))=$true))),inference(extcnf_forall_pos,[status(thm)],[713])). 18.87/19.13 thf(843,plain,(![SV189:a,SV70:a]: ((((~ ((less_eq@SV70)@SV189)) | (![SY596:a]: ((~ ((less_eq@SY596)@SV189)) | ((less_eq@((sup@SV70)@SY596))@SV189))))=$true))),inference(extcnf_forall_pos,[status(thm)],[714])). 18.87/19.13 thf(844,plain,(![SV190:a,SV71:a]: ((((less_eq@((inf@SV71)@SV190))@SV190)=$true))),inference(extcnf_forall_pos,[status(thm)],[715])). 18.87/19.13 thf(845,plain,(![SV191:a,SV72:a]: ((((less_eq@SV72)@((sup@SV72)@SV191))=$true))),inference(extcnf_forall_pos,[status(thm)],[716])). 18.87/19.13 thf(846,plain,(![SV192:a,SV74:a]: ((((~ ((less_eq@SV74)@SV192)) | (((sup@SV192)@SV74) = SV192))=$true))),inference(extcnf_forall_pos,[status(thm)],[718])). 18.87/19.13 thf(847,plain,(![SV193:a,SV75:a]: (((((less_eq@SV75)@SV193) = (((sup@SV75)@SV193) = SV193))=$true))),inference(extcnf_forall_pos,[status(thm)],[719])). 18.87/19.13 thf(848,plain,(![SV194:a,SV76:a]: (((((less_eq@SV76)@SV194) = (((inf@SV76)@SV194) = SV76))=$true))),inference(extcnf_forall_pos,[status(thm)],[720])). 18.87/19.13 thf(849,plain,(![SV195:a,SV77:a]: ((((less_eq@((inf@SV77)@SV195))@SV77)=$true))),inference(extcnf_forall_pos,[status(thm)],[721])). 18.87/19.13 thf(850,plain,(![SV196:a,SV78:a]: ((((~ ((less_eq@SV78)@SV196)) | (![SY597:a]: ((~ ((less_eq@SV78)@SY597)) | ((less_eq@SV78)@((inf@SV196)@SY597)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[722])). 18.87/19.13 thf(851,plain,(![SV197:a,SV79:a]: ((((~ (SV79 = SV197)) | (![SY598:a]: ((~ ((less_eq@SV197)@SY598)) | ((less_eq@SV79)@SY598))))=$true))),inference(extcnf_forall_pos,[status(thm)],[723])). 18.87/19.13 thf(852,plain,(![SV198:a,SV80:a]: ((((~ ((less_eq@SV80)@SV198)) | ((~ ((less_eq@SV198)@SV80)) | (SV198 = SV80)))=$true))),inference(extcnf_forall_pos,[status(thm)],[724])). 18.87/19.13 thf(853,plain,(![SV81:(a>(a>a))]: (((~ (semilattice_a@SV81))=$true) | ((![SY484:a,SY485:a]: (((SV81@SY484)@((SV81@SY484)@SY485)) = ((SV81@SY484)@SY485)))=$true))),inference(extcnf_or_pos,[status(thm)],[725])). 18.87/19.13 thf(854,plain,(![SV82:(a>(a>a))]: (((~ (semilattice_a@SV82))=$true) | ((![SY486:a]: (((SV82@SY486)@SY486) = SY486))=$true))),inference(extcnf_or_pos,[status(thm)],[726])). 18.87/19.13 thf(855,plain,(![SV199:a,SV83:(a>(a>a))]: ((((~ (abel_semigroup_a@SV83)) | (![SY599:a,SY600:a]: (((SV83@SV199)@((SV83@SY599)@SY600)) = ((SV83@SY599)@((SV83@SV199)@SY600)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[727])). 18.87/19.13 thf(856,plain,(![SV200:(a>(a>a))]: ((((semigroup_a@SV200) = (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[728])). 18.87/19.13 thf(857,plain,(![SV85:(a>(a>a))]: (((~ (semilattice_a@SV85))=$true) | ((![SY493:a,SY494:a]: (((SV85@((SV85@SY493)@SY494))@SY494) = ((SV85@SY493)@SY494)))=$true))),inference(extcnf_or_pos,[status(thm)],[730])). 18.87/19.13 thf(858,plain,(![SV86:(a>(a>a))]: (((~ (abel_semigroup_a@SV86))=$true) | ((![SY495:a,SY496:a]: (((SV86@SY495)@SY496) = ((SV86@SY496)@SY495)))=$true))),inference(extcnf_or_pos,[status(thm)],[731])). 18.87/19.13 thf(859,plain,(![SV87:(a>(a>a))]: (((~ (lattic1885654924_set_a@SV87))=$true) | ((semilattice_a@SV87)=$true))),inference(extcnf_or_pos,[status(thm)],[732])). 18.87/19.13 thf(860,plain,(![SV88:(a>(a>a))]: (((~ (abel_semigroup_a@SV88))=$true) | ((semigroup_a@SV88)=$true))),inference(extcnf_or_pos,[status(thm)],[733])). 18.87/19.13 thf(861,plain,(![SV201:(a>(a>a))]: ((((lattic1885654924_set_a@SV201) = (semilattice_a@SV201))=$true))),inference(extcnf_forall_pos,[status(thm)],[734])). 18.87/19.13 thf(862,plain,(![SV202:a,SV90:a]: ((((~ ((less_eq@SV90)@SV202)) | (![SY604:a]: ((~ ((less_eq@SY604)@SV90)) | ((less_eq@SY604)@SV202))))=$true))),inference(extcnf_forall_pos,[status(thm)],[736])). 18.87/19.13 thf(863,plain,(![SV91:(a>(a>a))]: (((~ (((SV91@((SV91@(sK7_A4@SV91))@(sK8_SY351@SV91)))@(sK9_SY353@SV91)) = ((SV91@(sK7_A4@SV91))@((SV91@(sK8_SY351@SV91))@(sK9_SY353@SV91)))))=$true) | ((semigroup_a@SV91)=$true))),inference(extcnf_or_pos,[status(thm)],[737])). 18.87/19.13 thf(864,plain,(![SV92:(a>(a>a))]: (((~ (finite40241356em_a_a@SV92))=$true) | ((![SY499:a,SY500:a]: (((SV92@SY499)@((SV92@SY499)@SY500)) = ((SV92@SY499)@SY500)))=$true))),inference(extcnf_or_pos,[status(thm)],[738])). 18.87/19.13 thf(865,plain,(![SV203:a,SV93:(a>(a>a))]: ((((~ (semigroup_a@SV93)) | (![SY605:a,SY606:a]: (((SV93@((SV93@SV203)@SY605))@SY606) = ((SV93@SV203)@((SV93@SY605)@SY606)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[739])). 18.87/19.13 thf(866,plain,(![SV204:a,SV94:a]: ((((~ ((less_eq@SV94)@SV204)) | (![SY607:a]: ((~ ((less_eq@SV204)@SY607)) | ((less_eq@SV94)@SY607))))=$true))),inference(extcnf_forall_pos,[status(thm)],[740])). 18.87/19.13 thf(867,plain,(![SV205:a,SV95:a]: ((((~ (SV95 = SV205)) | ((less_eq@SV95)@SV205))=$true))),inference(extcnf_forall_pos,[status(thm)],[741])). 18.87/19.13 thf(868,plain,(![SV96:(a>(a>a))]: (((~ (semilattice_a@SV96))=$true) | ((lattic1885654924_set_a@SV96)=$true))),inference(extcnf_or_pos,[status(thm)],[742])). 18.87/19.13 thf(869,plain,(![SV206:a,SV97:a]: ((((~ ((less_eq@SV97)@SV206)) | ((~ ((less_eq@SV206)@SV97)) | (SV97 = SV206)))=$true))),inference(extcnf_forall_pos,[status(thm)],[743])). 18.87/19.13 thf(870,plain,(![SV207:a,SV98:a]: ((((~ ((less_eq@SV98)@SV207)) | ((~ ((less_eq@SV207)@SV98)) | (SV98 = SV207)))=$true))),inference(extcnf_forall_pos,[status(thm)],[744])). 18.87/19.13 thf(871,plain,(![SV100:(a>(a>a))]: (((~ (semilattice_a@SV100))=$true) | ((abel_semigroup_a@SV100)=$true))),inference(extcnf_or_pos,[status(thm)],[746])). 18.87/19.13 thf(872,plain,(![SV208:a,SV101:a]: ((((~ ((less_eq@SV101)@SV208)) | (![SY608:a]: ((~ ((less_eq@SV208)@SY608)) | ((less_eq@SV101)@SY608))))=$true))),inference(extcnf_forall_pos,[status(thm)],[747])). 18.87/19.13 thf(873,plain,(![SV209:a,SV102:a]: ((((~ ((less_eq@SV102)@SV209)) | (![SY609:a]: ((~ (SV209 = SY609)) | ((less_eq@SV102)@SY609))))=$true))),inference(extcnf_forall_pos,[status(thm)],[748])). 18.87/19.13 thf(874,plain,(![SV210:a,SV103:a]: ((((~ ((less_eq@SV103)@SV210)) | (((less_eq@SV210)@SV103) = (SV210 = SV103)))=$true))),inference(extcnf_forall_pos,[status(thm)],[749])). 18.87/19.13 thf(875,plain,(![SV105:(a>$o)]: (((![SY514:a]: ((~ ((~ (~ ((~ (![SY515:a]: ((~ (SV105@SY515)) | ((less_eq@((sK2_Y2@SY514)@SV105))@SY515)))) | (~ (SV105@((sK2_Y2@SY514)@SV105)))))) | (~ (~ (((sK2_Y2@SY514)@SV105) = SY514))))) | ((~ ((~ (SV105@((sK1_Y2@SY514)@SV105))) | (~ (~ ((less_eq@SY514)@((sK1_Y2@SY514)@SV105)))))) | (~ (SV105@SY514)))))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_pos,[status(thm)],[752])). 18.87/19.13 thf(876,plain,(![SV211:a,SV106:a]: (((![SY610:a]: (((less_eq@SV106)@((inf@SV211)@SY610)) = (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SY610))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[753])). 18.87/19.13 thf(877,plain,(![SV107:a]: ((((~ (![SY519:a,SY520:a]: ((~ ((less_eq@((sup@SV107)@SY519))@SY520)) | ((less_eq@SV107)@SY520)))) | (~ (![SY521:a,SY522:a]: ((~ ((less_eq@((sup@SV107)@SY521))@SY522)) | ((less_eq@SY521)@SY522)))))=$false))),inference(extcnf_not_pos,[status(thm)],[754])). 18.87/19.13 thf(878,plain,(![SV212:a,SV108:(a>$o)]: ((((~ (SV108@SV212)) | ((~ ((~ (SV108@((sK4_Y2@SV212)@SV108))) | (~ (~ ((less_eq@((sK4_Y2@SV212)@SV108))@SV212))))) | (![SY611:(a>$o)]: ((~ ((~ (SV108@(((sK3_X2@SY611)@SV212)@SV108))) | (~ (~ ((~ (![SY612:a]: ((~ (SV108@SY612)) | ((less_eq@SY612)@(((sK3_X2@SY611)@SV212)@SV108))))) | (~ (~ (SY611@(((sK3_X2@SY611)@SV212)@SV108))))))))) | (SY611@((greatest_a@less_eq)@SV108))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[755])). 18.87/19.13 thf(879,plain,(![SV213:a,SV109:(a>$o)]: ((((~ (SV109@SV213)) | ((~ ((~ (SV109@((sK12_Y2@SV213)@SV109))) | (~ (~ ((less_eq@SV213)@((sK12_Y2@SV213)@SV109)))))) | (((least_a@less_eq)@SV109) = SV213)))=$true))),inference(extcnf_forall_pos,[status(thm)],[756])). 18.87/19.13 thf(880,plain,(![SV110:(a>(a>a))]: (((~ ((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110))))=$true) | (((~ ((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))) | ((~ ((~ ((less_eq@(sK22_SY360@SV110))@(sK21_X2@SV110))) | (~ (~ ((~ ((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110))) | (~ (~ ((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110))))))))) | (![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))))=$true))),inference(extcnf_or_pos,[status(thm)],[757])). 18.87/19.13 thf(881,plain,(((~ (![SX0:a,SX1:a]: ((~ ((less_eq@SX0)@SX1)) | ((((max_a@less_eq)@SX0)@SX1) = SX1))))=$false)),inference(extcnf_or_neg,[status(thm)],[758])). 18.87/19.13 thf(882,plain,(((~ (![SX0:a,SX1:a]: (((less_eq@SX0)@SX1) | ((((max_a@less_eq)@SX0)@SX1) = SX0))))=$false)),inference(extcnf_or_neg,[status(thm)],[758])). 18.87/19.13 thf(883,plain,(![SV214:a,SV111:a]: (((![SY613:a]: (((less_eq@((sup@SV111)@SV214))@SY613) = (~ ((~ ((less_eq@SV214)@SY613)) | (~ ((less_eq@SV111)@SY613))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[759])). 18.87/19.13 thf(884,plain,(![SV215:a]: ((((^[SY614:a]: (SV215 = SY614)) = (^[SY615:a]: (~ ((~ ((less_eq@SV215)@SY615)) | (~ ((less_eq@SY615)@SV215))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[760])). 18.87/19.13 thf(885,plain,(![SV113:(a>$o)]: (((![SY533:a]: ((~ ((~ (~ ((~ (![SY534:a]: ((~ (SV113@SY534)) | ((less_eq@((sK11_Y2@SY533)@SV113))@SY534)))) | (~ (SV113@((sK11_Y2@SY533)@SV113)))))) | (~ (~ (((sK11_Y2@SY533)@SV113) = SY533))))) | ((~ ((~ (SV113@((sK10_Y2@SY533)@SV113))) | (~ (~ ((less_eq@SY533)@((sK10_Y2@SY533)@SV113)))))) | (~ (SV113@SY533)))))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_pos,[status(thm)],[762])). 18.87/19.13 thf(886,plain,(![SV216:a,SV114:a]: (((![SY616:a,SY617:a]: (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SY616)@SY617)) = ((~ ((~ (~ ((less_eq@SY616)@SY617))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SY616)) | (~ (SV216 = SY617)))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[763])). 18.87/19.13 thf(887,plain,(![SV217:a,SV115:(a>$o)]: ((((~ (SV115@SV217)) | ((~ ((~ (SV115@((sK6_Y2@SV217)@SV115))) | (~ (~ ((less_eq@SV217)@((sK6_Y2@SV217)@SV115)))))) | (![SY618:(a>$o)]: ((~ ((~ (SV115@(((sK5_X2@SY618)@SV217)@SV115))) | (~ (~ ((~ (![SY619:a]: ((~ (SV115@SY619)) | ((less_eq@(((sK5_X2@SY618)@SV217)@SV115))@SY619)))) | (~ (~ (SY618@(((sK5_X2@SY618)@SV217)@SV115))))))))) | (SY618@((least_a@less_eq)@SV115))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[764])). 18.87/19.13 thf(888,plain,(![SV218:a,SV116:(a>$o)]: ((((~ (SV116@SV218)) | ((~ ((~ (SV116@((sK13_Y2@SV218)@SV116))) | (~ (~ ((less_eq@((sK13_Y2@SV218)@SV116))@SV218))))) | (((greatest_a@less_eq)@SV116) = SV218)))=$true))),inference(extcnf_forall_pos,[status(thm)],[765])). 18.87/19.13 thf(889,plain,(![SV219:a]: ((((^[SY620:a]: (SV219 = SY620)) = (^[SY621:a]: (~ ((~ ((less_eq@SY621)@SV219)) | (~ ((less_eq@SV219)@SY621))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[766])). 18.87/19.13 thf(890,plain,(![SV118:a]: ((((~ (![SY544:a,SY545:a]: ((~ ((less_eq@((sup@SV118)@SY544))@SY545)) | ((less_eq@SV118)@SY545)))) | (~ (![SY546:a,SY547:a]: ((~ ((less_eq@((sup@SV118)@SY546))@SY547)) | ((less_eq@SY546)@SY547)))))=$false))),inference(extcnf_not_pos,[status(thm)],[768])). 18.87/19.13 thf(891,plain,(![SV119:a]: ((((~ (![SY548:a]: ((![SY549:a]: (~ ((less_eq@SV119)@((inf@SY548)@SY549)))) | ((less_eq@SV119)@SY548)))) | (~ (![SY550:a,SY551:a]: ((~ ((less_eq@SV119)@((inf@SY550)@SY551))) | ((less_eq@SV119)@SY551)))))=$false))),inference(extcnf_not_pos,[status(thm)],[769])). 18.87/19.13 thf(892,plain,(![SV120:a]: ((((~ (![SY552:a]: ((![SY553:a]: (~ ((less_eq@SV120)@((inf@SY552)@SY553)))) | ((less_eq@SV120)@SY552)))) | (~ (![SY554:a,SY555:a]: ((~ ((less_eq@SV120)@((inf@SY554)@SY555))) | ((less_eq@SV120)@SY555)))))=$false))),inference(extcnf_not_pos,[status(thm)],[770])). 18.87/19.13 thf(893,plain,(![SV220:a,SV121:a]: (((![SY622:a]: (((less_eq@((sup@SV121)@SV220))@SY622) = (~ ((~ ((less_eq@SV220)@SY622)) | (~ ((less_eq@SV121)@SY622))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[771])). 18.87/19.13 thf(894,plain,(((~ (![SX0:a,SX1:a]: (((less_eq@SX0)@SX1) | ((((min_a@less_eq)@SX0)@SX1) = SX1))))=$false)),inference(extcnf_or_neg,[status(thm)],[772])). 18.87/19.13 thf(895,plain,(((~ (![SX0:a,SX1:a]: ((~ ((less_eq@SX0)@SX1)) | ((((min_a@less_eq)@SX0)@SX1) = SX0))))=$false)),inference(extcnf_or_neg,[status(thm)],[772])). 18.87/19.13 thf(896,plain,(![SV221:a]: ((((^[SY623:a]: (SV221 = SY623)) = (^[SY624:a]: (~ ((~ ((less_eq@SV221)@SY624)) | (~ ((less_eq@SY624)@SV221))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[773])). 18.87/19.13 thf(897,plain,(![SV123:(a>(a>a))]: (((~ ((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123)))=$true) | (((~ ((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))) | ((~ ((~ ((less_eq@(sK14_X2@SV123))@(sK15_SY355@SV123))) | (~ (~ ((~ ((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123))) | (~ (~ ((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123)))))))))) | (![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))))=$true))),inference(extcnf_or_pos,[status(thm)],[775])). 18.87/19.13 thf(898,plain,(![SV222:a,SV124:a]: (((![SY625:a]: (((less_eq@SV124)@((inf@SV222)@SY625)) = (~ ((~ ((less_eq@SV124)@SY625)) | (~ ((less_eq@SV124)@SV222))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[776])). 18.87/19.13 thf(899,plain,(![SV125:a,SV1:a]: (((~ ((less_eq@SV1)@SV125))=$true) | ((((inf@SV125)@SV1) = SV1)=$true))),inference(extcnf_or_pos,[status(thm)],[777])). 18.87/19.13 thf(900,plain,(![SV223:a,SV126:a,SV2:a]: ((((less_eq@((sup@SV2)@((inf@SV126)@SV223)))@((inf@((sup@SV2)@SV126))@((sup@SV2)@SV223)))=$true))),inference(extcnf_forall_pos,[status(thm)],[778])). 18.87/19.13 thf(901,plain,(![SV3:a]: (((((sup@(sK31_X2@SV3))@((inf@(sK32_SY368@SV3))@(sK33_SY370@SV3))) = ((inf@((sup@(sK31_X2@SV3))@(sK32_SY368@SV3)))@((sup@(sK31_X2@SV3))@(sK33_SY370@SV3))))=$false) | ((![SY374:a,SY375:a]: (((inf@SV3)@((sup@SY374)@SY375)) = ((sup@((inf@SV3)@SY374))@((inf@SV3)@SY375))))=$true))),inference(extcnf_not_pos,[status(thm)],[779])). 18.87/19.13 thf(902,plain,(![SV4:a]: (((((inf@(sK28_X2@SV4))@((sup@(sK29_SY365@SV4))@(sK30_SY367@SV4))) = ((sup@((inf@(sK28_X2@SV4))@(sK29_SY365@SV4)))@((inf@(sK28_X2@SV4))@(sK30_SY367@SV4))))=$false) | ((![SY376:a,SY377:a]: (((sup@SV4)@((inf@SY376)@SY377)) = ((inf@((sup@SV4)@SY376))@((sup@SV4)@SY377))))=$true))),inference(extcnf_not_pos,[status(thm)],[780])). 18.87/19.13 thf(903,plain,(![SV127:a,SV5:a]: (((~ ((less_eq@SV5)@SV127))=$true) | ((![SY565:a]: ((less_eq@SV5)@((sup@SV127)@SY565)))=$true))),inference(extcnf_or_pos,[status(thm)],[781])). 18.87/19.13 thf(904,plain,(![SV128:a,SV6:a]: (((~ ((less_eq@SV6)@SV128))=$true) | ((![SY566:a,SY567:a]: ((~ ((less_eq@SY566)@SY567)) | ((less_eq@((inf@SV6)@SY566))@((inf@SV128)@SY567))))=$true))),inference(extcnf_or_pos,[status(thm)],[782])). 18.87/19.13 thf(905,plain,(![SV129:a,SV7:a]: (((~ ((less_eq@SV7)@SV129))=$true) | ((![SY568:a]: ((less_eq@SV7)@((sup@SV129)@SY568)))=$true))),inference(extcnf_or_pos,[status(thm)],[783])). 18.87/19.13 thf(906,plain,(![SV130:a,SV8:a]: (((~ ((less_eq@SV8)@SV130))=$true) | ((![SY569:a]: ((less_eq@((inf@SY569)@SV8))@SV130))=$true))),inference(extcnf_or_pos,[status(thm)],[784])). 18.87/19.13 thf(907,plain,(![SV224:a,SV131:a,SV9:a]: (((((inf@((inf@SV9)@SV131))@SV224) = ((inf@SV9)@((inf@SV131)@SV224)))=$true))),inference(extcnf_forall_pos,[status(thm)],[785])). 18.87/19.13 thf(908,plain,(![SV225:a,SV132:a,SV10:a]: (((((sup@SV10)@((sup@SV132)@SV225)) = ((sup@SV132)@((sup@SV10)@SV225)))=$true))),inference(extcnf_forall_pos,[status(thm)],[786])). 18.87/19.13 thf(909,plain,(![SV134:a,SV12:a]: (((~ ((less_eq@SV12)@SV134))=$true) | ((![SY572:a]: ((~ ((less_eq@SY572)@SV134)) | ((less_eq@((sup@SV12)@SY572))@SV134)))=$true))),inference(extcnf_or_pos,[status(thm)],[788])). 18.87/19.13 thf(910,plain,(![SV136:a,SV14:a]: (((~ ((less_eq@SV14)@SV136))=$true) | ((SV14 = ((inf@SV14)@SV136))=$true))),inference(extcnf_or_pos,[status(thm)],[790])). 18.87/19.13 thf(911,plain,(![SV138:a,SV16:a]: (((~ ((less_eq@SV16)@SV138))=$true) | ((![SY573:a,SY574:a]: ((~ ((less_eq@SY573)@SY574)) | ((less_eq@((sup@SV16)@SY573))@((sup@SV138)@SY574))))=$true))),inference(extcnf_or_pos,[status(thm)],[792])). 18.87/19.13 thf(912,plain,(![SV139:a,SV17:a]: (((~ ((less_eq@SV17)@SV139))=$true) | ((((inf@SV17)@SV139) = SV17)=$true))),inference(extcnf_or_pos,[status(thm)],[793])). 18.87/19.13 thf(913,plain,(![SV141:a,SV19:a]: (((~ ((less_eq@SV19)@SV141))=$true) | ((![SY575:a]: ((less_eq@SV19)@((sup@SY575)@SV141)))=$true))),inference(extcnf_or_pos,[status(thm)],[795])). 18.87/19.13 thf(914,plain,(![SV143:a,SV21:a]: ((((~ (((less_eq@SV21)@SV143) | (SV21 = ((inf@SV21)@SV143)))) | (~ ((~ ((less_eq@SV21)@SV143)) | (~ (SV21 = ((inf@SV21)@SV143))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[797])). 18.87/19.13 thf(915,plain,(![SV143:a,SV21:a]: (((((less_eq@SV21)@SV143) = (SV21 = ((inf@SV21)@SV143)))=$true))),inference(extcnf_equal_pos,[status(thm)],[797])). 18.87/19.13 thf(916,plain,(![SV145:a,SV23:a]: (((~ ((less_eq@SV23)@SV145))=$true) | ((![SY576:a]: ((less_eq@((inf@SY576)@SV23))@SV145))=$true))),inference(extcnf_or_pos,[status(thm)],[799])). 18.87/19.13 thf(917,plain,(![SV226:a,SV148:a,SV27:a]: ((((((((modula1936294176_aux_a@inf)@sup)@SV27)@SV148)@SV226) = ((sup@((sup@((inf@SV27)@SV148))@((inf@SV148)@SV226)))@((inf@SV226)@SV27)))=$true))),inference(extcnf_forall_pos,[status(thm)],[802])). 18.87/19.13 thf(918,plain,(![SV149:a,SV28:a]: (((~ (SV28 = ((sup@SV28)@SV149)))=$true) | (((less_eq@SV149)@SV28)=$true))),inference(extcnf_or_pos,[status(thm)],[803])). 18.87/19.13 thf(919,plain,(![SV227:a,SV150:a,SV29:a]: ((((((((modula1936294176_aux_a@inf)@sup)@SV29)@SV150)@SV227) = (((((modula1936294176_aux_a@inf)@sup)@SV150)@SV227)@SV29))=$true))),inference(extcnf_forall_pos,[status(thm)],[804])). 18.87/19.13 thf(920,plain,(![SV228:a,SV151:a,SV30:a]: (((((sup@((sup@SV30)@SV151))@SV228) = ((sup@SV30)@((sup@SV151)@SV228)))=$true))),inference(extcnf_forall_pos,[status(thm)],[805])). 18.87/19.13 thf(921,plain,(![SV152:a,SV31:a]: ((((~ (((less_eq@SV31)@SV152) | (((sup@SV152)@SV31) = SV152))) | (~ ((~ ((less_eq@SV31)@SV152)) | (~ (((sup@SV152)@SV31) = SV152)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[806])). 18.87/19.13 thf(922,plain,(![SV152:a,SV31:a]: (((((less_eq@SV31)@SV152) = (((sup@SV152)@SV31) = SV152))=$true))),inference(extcnf_equal_pos,[status(thm)],[806])). 18.87/19.13 thf(923,plain,(![SV154:a,SV33:a]: (((~ ((less_eq@SV33)@SV154))=$true) | ((![SY580:a,SY581:a]: ((~ ((less_eq@SY580)@SY581)) | ((less_eq@((sup@SV33)@SY580))@((sup@SV154)@SY581))))=$true))),inference(extcnf_or_pos,[status(thm)],[808])). 18.87/19.13 thf(924,plain,(![SV155:a,SV34:a]: (((~ ((less_eq@SV34)@SV155))=$true) | ((![SY582:a]: ((~ ((less_eq@SV34)@SY582)) | ((less_eq@SV34)@((inf@SV155)@SY582))))=$true))),inference(extcnf_or_pos,[status(thm)],[809])). 18.87/19.13 thf(925,plain,(![SV156:a,SV35:a]: (((~ ((less_eq@SV35)@SV156))=$true) | ((((inf@SV156)@SV35) = SV35)=$true))),inference(extcnf_or_pos,[status(thm)],[810])). 18.87/19.13 thf(926,plain,(![SV159:a,SV38:a]: (((~ ((less_eq@SV38)@SV159))=$true) | ((![SY583:a]: ((~ ((less_eq@SV38)@SY583)) | ((less_eq@SV38)@((inf@SV159)@SY583))))=$true))),inference(extcnf_or_pos,[status(thm)],[813])). 18.87/19.13 thf(927,plain,(![SV229:a,SV160:a,SV39:a]: ((((less_eq@((sup@((inf@SV39)@SV160))@((inf@SV39)@SV229)))@((inf@SV39)@((sup@SV160)@SV229)))=$true))),inference(extcnf_forall_pos,[status(thm)],[814])). 18.87/19.13 thf(928,plain,(![SV161:a,SV40:a]: ((((~ (((less_eq@SV40)@SV161) | (((inf@SV161)@SV40) = SV40))) | (~ ((~ ((less_eq@SV40)@SV161)) | (~ (((inf@SV161)@SV40) = SV40)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[815])). 18.87/19.13 thf(929,plain,(![SV161:a,SV40:a]: (((((less_eq@SV40)@SV161) = (((inf@SV161)@SV40) = SV40))=$true))),inference(extcnf_equal_pos,[status(thm)],[815])). 18.87/19.13 thf(930,plain,(![SV162:a,SV41:a]: (((~ ((less_eq@SV41)@SV162))=$true) | ((((sup@SV162)@SV41) = SV162)=$true))),inference(extcnf_or_pos,[status(thm)],[816])). 18.87/19.13 thf(931,plain,(![SV164:a,SV43:a]: (((~ ((less_eq@SV43)@SV164))=$true) | ((((sup@SV43)@SV164) = SV164)=$true))),inference(extcnf_or_pos,[status(thm)],[818])). 18.87/19.13 thf(932,plain,(![SV166:a,SV45:a]: (((~ (SV45 = ((inf@SV45)@SV166)))=$true) | (((less_eq@SV45)@SV166)=$true))),inference(extcnf_or_pos,[status(thm)],[820])). 18.87/19.13 thf(933,plain,(![SV167:a,SV46:a]: (((~ ((less_eq@SV46)@SV167))=$true) | ((((inf@SV46)@SV167) = SV46)=$true))),inference(extcnf_or_pos,[status(thm)],[821])). 18.87/19.13 thf(934,plain,(![SV230:a,SV168:a,SV48:a]: (((((inf@SV48)@((inf@SV168)@SV230)) = ((inf@SV168)@((inf@SV48)@SV230)))=$true))),inference(extcnf_forall_pos,[status(thm)],[822])). 18.87/19.13 thf(935,plain,(![SV169:a,SV49:a]: (((~ ((less_eq@SV49)@SV169))=$true) | ((((sup@SV49)@SV169) = SV169)=$true))),inference(extcnf_or_pos,[status(thm)],[823])). 18.87/19.13 thf(936,plain,(![SV231:a,SV171:a,SV51:a]: (((((inf@((inf@SV51)@SV171))@SV231) = ((inf@SV51)@((inf@SV171)@SV231)))=$true))),inference(extcnf_forall_pos,[status(thm)],[825])). 18.87/19.13 thf(937,plain,(![SV232:a,SV172:a,SV52:a]: ((((((((modula1936294176_aux_a@inf)@sup)@SV52)@SV172)@SV232) = (((((modula1936294176_aux_a@inf)@sup)@SV232)@SV52)@SV172))=$true))),inference(extcnf_forall_pos,[status(thm)],[826])). 18.87/19.13 thf(938,plain,(![SV233:a,SV173:a,SV53:a]: ((((((((modula1144073633_aux_a@inf)@sup)@SV53)@SV173)@SV233) = ((inf@((inf@((sup@SV53)@SV173))@((sup@SV173)@SV233)))@((sup@SV233)@SV53)))=$true))),inference(extcnf_forall_pos,[status(thm)],[827])). 18.87/19.13 thf(939,plain,(![SV174:a,SV55:a]: (((~ ((less_eq@SV55)@SV174))=$true) | ((![SY589:a]: ((less_eq@((inf@SV55)@SY589))@SV174))=$true))),inference(extcnf_or_pos,[status(thm)],[828])). 18.87/19.13 thf(940,plain,(![SV175:a,SV56:a]: (((~ ((less_eq@SV56)@SV175))=$true) | ((![SY590:a]: ((~ ((less_eq@SY590)@SV175)) | ((less_eq@((sup@SV56)@SY590))@SV175)))=$true))),inference(extcnf_or_pos,[status(thm)],[829])). 18.87/19.13 thf(941,plain,(![SV177:a,SV58:a]: ((((~ (((less_eq@SV58)@SV177) | (((inf@SV58)@SV177) = SV58))) | (~ ((~ ((less_eq@SV58)@SV177)) | (~ (((inf@SV58)@SV177) = SV58)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[831])). 18.87/19.13 thf(942,plain,(![SV177:a,SV58:a]: (((((less_eq@SV58)@SV177) = (((inf@SV58)@SV177) = SV58))=$true))),inference(extcnf_equal_pos,[status(thm)],[831])). 18.87/19.13 thf(943,plain,(![SV234:a,SV178:a,SV59:a]: (((((sup@SV59)@((sup@SV178)@SV234)) = ((sup@SV178)@((sup@SV59)@SV234)))=$true))),inference(extcnf_forall_pos,[status(thm)],[832])). 18.87/19.13 thf(944,plain,(![SV235:a,SV180:a,SV61:a]: (((((sup@((sup@SV61)@SV180))@SV235) = ((sup@SV61)@((sup@SV180)@SV235)))=$true))),inference(extcnf_forall_pos,[status(thm)],[834])). 18.87/19.13 thf(945,plain,(![SV181:a,SV62:a]: ((((~ (((less_eq@SV62)@SV181) | (SV181 = ((sup@SV181)@SV62)))) | (~ ((~ ((less_eq@SV62)@SV181)) | (~ (SV181 = ((sup@SV181)@SV62))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[835])). 18.87/19.13 thf(946,plain,(![SV181:a,SV62:a]: (((((less_eq@SV62)@SV181) = (SV181 = ((sup@SV181)@SV62)))=$true))),inference(extcnf_equal_pos,[status(thm)],[835])). 18.87/19.13 thf(947,plain,(![SV182:a,SV63:a]: ((((~ (((less_eq@SV63)@SV182) | (((sup@SV63)@SV182) = SV182))) | (~ ((~ ((less_eq@SV63)@SV182)) | (~ (((sup@SV63)@SV182) = SV182)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[836])). 18.87/19.13 thf(948,plain,(![SV182:a,SV63:a]: (((((less_eq@SV63)@SV182) = (((sup@SV63)@SV182) = SV182))=$true))),inference(extcnf_equal_pos,[status(thm)],[836])). 18.87/19.13 thf(949,plain,(![SV236:a,SV183:a,SV64:a]: (((((inf@SV64)@((inf@SV183)@SV236)) = ((inf@SV183)@((inf@SV64)@SV236)))=$true))),inference(extcnf_forall_pos,[status(thm)],[837])). 18.87/19.13 thf(950,plain,(![SV184:a,SV65:a]: (((~ ((less_eq@SV65)@SV184))=$true) | ((SV184 = ((sup@SV184)@SV65))=$true))),inference(extcnf_or_pos,[status(thm)],[838])). 18.87/19.13 thf(951,plain,(![SV186:a,SV67:a]: (((~ ((less_eq@SV67)@SV186))=$true) | ((![SY594:a]: ((less_eq@SV67)@((sup@SY594)@SV186)))=$true))),inference(extcnf_or_pos,[status(thm)],[840])). 18.87/19.13 thf(952,plain,(![SV188:a,SV69:a]: (((~ ((less_eq@SV69)@SV188))=$true) | ((![SY595:a]: ((less_eq@((inf@SV69)@SY595))@SV188))=$true))),inference(extcnf_or_pos,[status(thm)],[842])). 18.87/19.13 thf(953,plain,(![SV189:a,SV70:a]: (((~ ((less_eq@SV70)@SV189))=$true) | ((![SY596:a]: ((~ ((less_eq@SY596)@SV189)) | ((less_eq@((sup@SV70)@SY596))@SV189)))=$true))),inference(extcnf_or_pos,[status(thm)],[843])). 18.87/19.13 thf(954,plain,(![SV192:a,SV74:a]: (((~ ((less_eq@SV74)@SV192))=$true) | ((((sup@SV192)@SV74) = SV192)=$true))),inference(extcnf_or_pos,[status(thm)],[846])). 18.87/19.13 thf(955,plain,(![SV193:a,SV75:a]: ((((~ (((less_eq@SV75)@SV193) | (((sup@SV75)@SV193) = SV193))) | (~ ((~ ((less_eq@SV75)@SV193)) | (~ (((sup@SV75)@SV193) = SV193)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[847])). 18.87/19.13 thf(956,plain,(![SV193:a,SV75:a]: (((((less_eq@SV75)@SV193) = (((sup@SV75)@SV193) = SV193))=$true))),inference(extcnf_equal_pos,[status(thm)],[847])). 18.87/19.13 thf(957,plain,(![SV194:a,SV76:a]: ((((~ (((less_eq@SV76)@SV194) | (((inf@SV76)@SV194) = SV76))) | (~ ((~ ((less_eq@SV76)@SV194)) | (~ (((inf@SV76)@SV194) = SV76)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[848])). 18.87/19.13 thf(958,plain,(![SV194:a,SV76:a]: (((((less_eq@SV76)@SV194) = (((inf@SV76)@SV194) = SV76))=$true))),inference(extcnf_equal_pos,[status(thm)],[848])). 18.87/19.13 thf(959,plain,(![SV196:a,SV78:a]: (((~ ((less_eq@SV78)@SV196))=$true) | ((![SY597:a]: ((~ ((less_eq@SV78)@SY597)) | ((less_eq@SV78)@((inf@SV196)@SY597))))=$true))),inference(extcnf_or_pos,[status(thm)],[850])). 18.87/19.13 thf(960,plain,(![SV197:a,SV79:a]: (((~ (SV79 = SV197))=$true) | ((![SY598:a]: ((~ ((less_eq@SV197)@SY598)) | ((less_eq@SV79)@SY598)))=$true))),inference(extcnf_or_pos,[status(thm)],[851])). 18.87/19.13 thf(961,plain,(![SV198:a,SV80:a]: (((~ ((less_eq@SV80)@SV198))=$true) | (((~ ((less_eq@SV198)@SV80)) | (SV198 = SV80))=$true))),inference(extcnf_or_pos,[status(thm)],[852])). 18.87/19.13 thf(962,plain,(![SV81:(a>(a>a))]: (((semilattice_a@SV81)=$false) | ((![SY484:a,SY485:a]: (((SV81@SY484)@((SV81@SY484)@SY485)) = ((SV81@SY484)@SY485)))=$true))),inference(extcnf_not_pos,[status(thm)],[853])). 18.87/19.13 thf(963,plain,(![SV82:(a>(a>a))]: (((semilattice_a@SV82)=$false) | ((![SY486:a]: (((SV82@SY486)@SY486) = SY486))=$true))),inference(extcnf_not_pos,[status(thm)],[854])). 18.87/19.13 thf(964,plain,(![SV199:a,SV83:(a>(a>a))]: (((~ (abel_semigroup_a@SV83))=$true) | ((![SY599:a,SY600:a]: (((SV83@SV199)@((SV83@SY599)@SY600)) = ((SV83@SY599)@((SV83@SV199)@SY600))))=$true))),inference(extcnf_or_pos,[status(thm)],[855])). 18.87/19.13 thf(965,plain,(![SV200:(a>(a>a))]: ((((~ ((semigroup_a@SV200) | (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603)))))) | (~ ((~ (semigroup_a@SV200)) | (~ (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603))))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[856])). 18.87/19.13 thf(966,plain,(![SV200:(a>(a>a))]: ((((semigroup_a@SV200) = (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[856])). 18.87/19.13 thf(967,plain,(![SV85:(a>(a>a))]: (((semilattice_a@SV85)=$false) | ((![SY493:a,SY494:a]: (((SV85@((SV85@SY493)@SY494))@SY494) = ((SV85@SY493)@SY494)))=$true))),inference(extcnf_not_pos,[status(thm)],[857])). 18.87/19.13 thf(968,plain,(![SV86:(a>(a>a))]: (((abel_semigroup_a@SV86)=$false) | ((![SY495:a,SY496:a]: (((SV86@SY495)@SY496) = ((SV86@SY496)@SY495)))=$true))),inference(extcnf_not_pos,[status(thm)],[858])). 18.87/19.13 thf(969,plain,(![SV87:(a>(a>a))]: (((lattic1885654924_set_a@SV87)=$false) | ((semilattice_a@SV87)=$true))),inference(extcnf_not_pos,[status(thm)],[859])). 18.87/19.13 thf(970,plain,(![SV88:(a>(a>a))]: (((abel_semigroup_a@SV88)=$false) | ((semigroup_a@SV88)=$true))),inference(extcnf_not_pos,[status(thm)],[860])). 18.87/19.13 thf(971,plain,(![SV201:(a>(a>a))]: ((((~ ((lattic1885654924_set_a@SV201) | (semilattice_a@SV201))) | (~ ((~ (lattic1885654924_set_a@SV201)) | (~ (semilattice_a@SV201)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[861])). 18.87/19.13 thf(972,plain,(![SV201:(a>(a>a))]: ((((lattic1885654924_set_a@SV201) = (semilattice_a@SV201))=$true))),inference(extcnf_equal_pos,[status(thm)],[861])). 18.87/19.13 thf(973,plain,(![SV202:a,SV90:a]: (((~ ((less_eq@SV90)@SV202))=$true) | ((![SY604:a]: ((~ ((less_eq@SY604)@SV90)) | ((less_eq@SY604)@SV202)))=$true))),inference(extcnf_or_pos,[status(thm)],[862])). 18.87/19.13 thf(974,plain,(![SV91:(a>(a>a))]: (((((SV91@((SV91@(sK7_A4@SV91))@(sK8_SY351@SV91)))@(sK9_SY353@SV91)) = ((SV91@(sK7_A4@SV91))@((SV91@(sK8_SY351@SV91))@(sK9_SY353@SV91))))=$false) | ((semigroup_a@SV91)=$true))),inference(extcnf_not_pos,[status(thm)],[863])). 18.87/19.13 thf(975,plain,(![SV92:(a>(a>a))]: (((finite40241356em_a_a@SV92)=$false) | ((![SY499:a,SY500:a]: (((SV92@SY499)@((SV92@SY499)@SY500)) = ((SV92@SY499)@SY500)))=$true))),inference(extcnf_not_pos,[status(thm)],[864])). 18.87/19.13 thf(976,plain,(![SV203:a,SV93:(a>(a>a))]: (((~ (semigroup_a@SV93))=$true) | ((![SY605:a,SY606:a]: (((SV93@((SV93@SV203)@SY605))@SY606) = ((SV93@SV203)@((SV93@SY605)@SY606))))=$true))),inference(extcnf_or_pos,[status(thm)],[865])). 18.87/19.13 thf(977,plain,(![SV204:a,SV94:a]: (((~ ((less_eq@SV94)@SV204))=$true) | ((![SY607:a]: ((~ ((less_eq@SV204)@SY607)) | ((less_eq@SV94)@SY607)))=$true))),inference(extcnf_or_pos,[status(thm)],[866])). 18.87/19.13 thf(978,plain,(![SV205:a,SV95:a]: (((~ (SV95 = SV205))=$true) | (((less_eq@SV95)@SV205)=$true))),inference(extcnf_or_pos,[status(thm)],[867])). 18.87/19.13 thf(979,plain,(![SV96:(a>(a>a))]: (((semilattice_a@SV96)=$false) | ((lattic1885654924_set_a@SV96)=$true))),inference(extcnf_not_pos,[status(thm)],[868])). 18.87/19.13 thf(980,plain,(![SV206:a,SV97:a]: (((~ ((less_eq@SV97)@SV206))=$true) | (((~ ((less_eq@SV206)@SV97)) | (SV97 = SV206))=$true))),inference(extcnf_or_pos,[status(thm)],[869])). 18.87/19.13 thf(981,plain,(![SV207:a,SV98:a]: (((~ ((less_eq@SV98)@SV207))=$true) | (((~ ((less_eq@SV207)@SV98)) | (SV98 = SV207))=$true))),inference(extcnf_or_pos,[status(thm)],[870])). 18.87/19.13 thf(982,plain,(![SV100:(a>(a>a))]: (((semilattice_a@SV100)=$false) | ((abel_semigroup_a@SV100)=$true))),inference(extcnf_not_pos,[status(thm)],[871])). 18.87/19.13 thf(983,plain,(![SV208:a,SV101:a]: (((~ ((less_eq@SV101)@SV208))=$true) | ((![SY608:a]: ((~ ((less_eq@SV208)@SY608)) | ((less_eq@SV101)@SY608)))=$true))),inference(extcnf_or_pos,[status(thm)],[872])). 18.87/19.13 thf(984,plain,(![SV209:a,SV102:a]: (((~ ((less_eq@SV102)@SV209))=$true) | ((![SY609:a]: ((~ (SV209 = SY609)) | ((less_eq@SV102)@SY609)))=$true))),inference(extcnf_or_pos,[status(thm)],[873])). 18.87/19.13 thf(985,plain,(![SV210:a,SV103:a]: (((~ ((less_eq@SV103)@SV210))=$true) | ((((less_eq@SV210)@SV103) = (SV210 = SV103))=$true))),inference(extcnf_or_pos,[status(thm)],[874])). 18.87/19.13 thf(986,plain,(![SV237:a,SV105:(a>$o)]: ((((~ ((~ (~ ((~ (![SY626:a]: ((~ (SV105@SY626)) | ((less_eq@((sK2_Y2@SV237)@SV105))@SY626)))) | (~ (SV105@((sK2_Y2@SV237)@SV105)))))) | (~ (~ (((sK2_Y2@SV237)@SV105) = SV237))))) | ((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237))))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_forall_pos,[status(thm)],[875])). 18.87/19.13 thf(987,plain,(![SV238:a,SV211:a,SV106:a]: (((((less_eq@SV106)@((inf@SV211)@SV238)) = (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[876])). 18.87/19.13 thf(988,plain,(![SV107:a]: (((~ (![SY519:a,SY520:a]: ((~ ((less_eq@((sup@SV107)@SY519))@SY520)) | ((less_eq@SV107)@SY520))))=$false))),inference(extcnf_or_neg,[status(thm)],[877])). 18.87/19.13 thf(989,plain,(![SV107:a]: (((~ (![SY521:a,SY522:a]: ((~ ((less_eq@((sup@SV107)@SY521))@SY522)) | ((less_eq@SY521)@SY522))))=$false))),inference(extcnf_or_neg,[status(thm)],[877])). 18.87/19.13 thf(990,plain,(![SV212:a,SV108:(a>$o)]: (((~ (SV108@SV212))=$true) | (((~ ((~ (SV108@((sK4_Y2@SV212)@SV108))) | (~ (~ ((less_eq@((sK4_Y2@SV212)@SV108))@SV212))))) | (![SY611:(a>$o)]: ((~ ((~ (SV108@(((sK3_X2@SY611)@SV212)@SV108))) | (~ (~ ((~ (![SY612:a]: ((~ (SV108@SY612)) | ((less_eq@SY612)@(((sK3_X2@SY611)@SV212)@SV108))))) | (~ (~ (SY611@(((sK3_X2@SY611)@SV212)@SV108))))))))) | (SY611@((greatest_a@less_eq)@SV108)))))=$true))),inference(extcnf_or_pos,[status(thm)],[878])). 18.87/19.13 thf(991,plain,(![SV213:a,SV109:(a>$o)]: (((~ (SV109@SV213))=$true) | (((~ ((~ (SV109@((sK12_Y2@SV213)@SV109))) | (~ (~ ((less_eq@SV213)@((sK12_Y2@SV213)@SV109)))))) | (((least_a@less_eq)@SV109) = SV213))=$true))),inference(extcnf_or_pos,[status(thm)],[879])). 18.87/19.13 thf(992,plain,(![SV110:(a>(a>a))]: ((((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false) | (((~ ((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))) | ((~ ((~ ((less_eq@(sK22_SY360@SV110))@(sK21_X2@SV110))) | (~ (~ ((~ ((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110))) | (~ (~ ((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110))))))))) | (![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))))=$true))),inference(extcnf_not_pos,[status(thm)],[880])). 18.87/19.13 thf(993,plain,(((![SX0:a,SX1:a]: ((~ ((less_eq@SX0)@SX1)) | ((((max_a@less_eq)@SX0)@SX1) = SX1)))=$true)),inference(extcnf_not_neg,[status(thm)],[881])). 18.87/19.13 thf(994,plain,(((![SX0:a,SX1:a]: (((less_eq@SX0)@SX1) | ((((max_a@less_eq)@SX0)@SX1) = SX0)))=$true)),inference(extcnf_not_neg,[status(thm)],[882])). 18.87/19.13 thf(995,plain,(![SV239:a,SV214:a,SV111:a]: (((((less_eq@((sup@SV111)@SV214))@SV239) = (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[883])). 18.87/19.13 thf(996,plain,(![SV215:a]: (((![SV240:a]: ((SV215 = SV240) = (~ ((~ ((less_eq@SV215)@SV240)) | (~ ((less_eq@SV240)@SV215))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[884])). 18.87/19.13 thf(997,plain,(![SV215:a]: ((((^[SY614:a]: (SV215 = SY614)) = (^[SY615:a]: (~ ((~ ((less_eq@SV215)@SY615)) | (~ ((less_eq@SY615)@SV215))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[884])). 18.87/19.13 thf(998,plain,(![SV241:a,SV113:(a>$o)]: ((((~ ((~ (~ ((~ (![SY627:a]: ((~ (SV113@SY627)) | ((less_eq@((sK11_Y2@SV241)@SV113))@SY627)))) | (~ (SV113@((sK11_Y2@SV241)@SV113)))))) | (~ (~ (((sK11_Y2@SV241)@SV113) = SV241))))) | ((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241))))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_forall_pos,[status(thm)],[885])). 18.87/19.13 thf(999,plain,(![SV242:a,SV216:a,SV114:a]: (((![SY628:a]: (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SY628)) = ((~ ((~ (~ ((less_eq@SV242)@SY628))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SY628)))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[886])). 18.87/19.13 thf(1000,plain,(![SV217:a,SV115:(a>$o)]: (((~ (SV115@SV217))=$true) | (((~ ((~ (SV115@((sK6_Y2@SV217)@SV115))) | (~ (~ ((less_eq@SV217)@((sK6_Y2@SV217)@SV115)))))) | (![SY618:(a>$o)]: ((~ ((~ (SV115@(((sK5_X2@SY618)@SV217)@SV115))) | (~ (~ ((~ (![SY619:a]: ((~ (SV115@SY619)) | ((less_eq@(((sK5_X2@SY618)@SV217)@SV115))@SY619)))) | (~ (~ (SY618@(((sK5_X2@SY618)@SV217)@SV115))))))))) | (SY618@((least_a@less_eq)@SV115)))))=$true))),inference(extcnf_or_pos,[status(thm)],[887])). 18.87/19.13 thf(1001,plain,(![SV218:a,SV116:(a>$o)]: (((~ (SV116@SV218))=$true) | (((~ ((~ (SV116@((sK13_Y2@SV218)@SV116))) | (~ (~ ((less_eq@((sK13_Y2@SV218)@SV116))@SV218))))) | (((greatest_a@less_eq)@SV116) = SV218))=$true))),inference(extcnf_or_pos,[status(thm)],[888])). 18.87/19.13 thf(1002,plain,(![SV219:a]: (((![SV243:a]: ((SV219 = SV243) = (~ ((~ ((less_eq@SV243)@SV219)) | (~ ((less_eq@SV219)@SV243))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[889])). 18.87/19.13 thf(1003,plain,(![SV219:a]: ((((^[SY620:a]: (SV219 = SY620)) = (^[SY621:a]: (~ ((~ ((less_eq@SY621)@SV219)) | (~ ((less_eq@SV219)@SY621))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[889])). 18.87/19.13 thf(1004,plain,(![SV118:a]: (((~ (![SY544:a,SY545:a]: ((~ ((less_eq@((sup@SV118)@SY544))@SY545)) | ((less_eq@SV118)@SY545))))=$false))),inference(extcnf_or_neg,[status(thm)],[890])). 18.87/19.13 thf(1005,plain,(![SV118:a]: (((~ (![SY546:a,SY547:a]: ((~ ((less_eq@((sup@SV118)@SY546))@SY547)) | ((less_eq@SY546)@SY547))))=$false))),inference(extcnf_or_neg,[status(thm)],[890])). 18.87/19.13 thf(1006,plain,(![SV119:a]: (((~ (![SY548:a]: ((![SY549:a]: (~ ((less_eq@SV119)@((inf@SY548)@SY549)))) | ((less_eq@SV119)@SY548))))=$false))),inference(extcnf_or_neg,[status(thm)],[891])). 18.87/19.13 thf(1007,plain,(![SV119:a]: (((~ (![SY550:a,SY551:a]: ((~ ((less_eq@SV119)@((inf@SY550)@SY551))) | ((less_eq@SV119)@SY551))))=$false))),inference(extcnf_or_neg,[status(thm)],[891])). 18.87/19.13 thf(1008,plain,(![SV120:a]: (((~ (![SY552:a]: ((![SY553:a]: (~ ((less_eq@SV120)@((inf@SY552)@SY553)))) | ((less_eq@SV120)@SY552))))=$false))),inference(extcnf_or_neg,[status(thm)],[892])). 18.87/19.13 thf(1009,plain,(![SV120:a]: (((~ (![SY554:a,SY555:a]: ((~ ((less_eq@SV120)@((inf@SY554)@SY555))) | ((less_eq@SV120)@SY555))))=$false))),inference(extcnf_or_neg,[status(thm)],[892])). 18.87/19.13 thf(1010,plain,(![SV244:a,SV220:a,SV121:a]: (((((less_eq@((sup@SV121)@SV220))@SV244) = (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[893])). 18.87/19.13 thf(1011,plain,(((![SX0:a,SX1:a]: (((less_eq@SX0)@SX1) | ((((min_a@less_eq)@SX0)@SX1) = SX1)))=$true)),inference(extcnf_not_neg,[status(thm)],[894])). 18.87/19.13 thf(1012,plain,(((![SX0:a,SX1:a]: ((~ ((less_eq@SX0)@SX1)) | ((((min_a@less_eq)@SX0)@SX1) = SX0)))=$true)),inference(extcnf_not_neg,[status(thm)],[895])). 18.87/19.13 thf(1013,plain,(![SV221:a]: (((![SV245:a]: ((SV221 = SV245) = (~ ((~ ((less_eq@SV221)@SV245)) | (~ ((less_eq@SV245)@SV221))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[896])). 18.87/19.13 thf(1014,plain,(![SV221:a]: ((((^[SY623:a]: (SV221 = SY623)) = (^[SY624:a]: (~ ((~ ((less_eq@SV221)@SY624)) | (~ ((less_eq@SY624)@SV221))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[896])). 18.87/19.13 thf(1015,plain,(![SV123:(a>(a>a))]: ((((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false) | (((~ ((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))) | ((~ ((~ ((less_eq@(sK14_X2@SV123))@(sK15_SY355@SV123))) | (~ (~ ((~ ((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123))) | (~ (~ ((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123)))))))))) | (![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))))=$true))),inference(extcnf_not_pos,[status(thm)],[897])). 18.87/19.13 thf(1016,plain,(![SV246:a,SV222:a,SV124:a]: (((((less_eq@SV124)@((inf@SV222)@SV246)) = (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[898])). 18.87/19.13 thf(1017,plain,(![SV125:a,SV1:a]: ((((less_eq@SV1)@SV125)=$false) | ((((inf@SV125)@SV1) = SV1)=$true))),inference(extcnf_not_pos,[status(thm)],[899])). 18.87/19.13 thf(1018,plain,(![SV247:a,SV3:a]: (((![SY629:a]: (((inf@SV3)@((sup@SV247)@SY629)) = ((sup@((inf@SV3)@SV247))@((inf@SV3)@SY629))))=$true) | ((((sup@(sK31_X2@SV3))@((inf@(sK32_SY368@SV3))@(sK33_SY370@SV3))) = ((inf@((sup@(sK31_X2@SV3))@(sK32_SY368@SV3)))@((sup@(sK31_X2@SV3))@(sK33_SY370@SV3))))=$false))),inference(extcnf_forall_pos,[status(thm)],[901])). 18.87/19.13 thf(1019,plain,(![SV248:a,SV4:a]: (((![SY630:a]: (((sup@SV4)@((inf@SV248)@SY630)) = ((inf@((sup@SV4)@SV248))@((sup@SV4)@SY630))))=$true) | ((((inf@(sK28_X2@SV4))@((sup@(sK29_SY365@SV4))@(sK30_SY367@SV4))) = ((sup@((inf@(sK28_X2@SV4))@(sK29_SY365@SV4)))@((inf@(sK28_X2@SV4))@(sK30_SY367@SV4))))=$false))),inference(extcnf_forall_pos,[status(thm)],[902])). 18.87/19.13 thf(1020,plain,(![SV127:a,SV5:a]: ((((less_eq@SV5)@SV127)=$false) | ((![SY565:a]: ((less_eq@SV5)@((sup@SV127)@SY565)))=$true))),inference(extcnf_not_pos,[status(thm)],[903])). 18.87/19.13 thf(1021,plain,(![SV128:a,SV6:a]: ((((less_eq@SV6)@SV128)=$false) | ((![SY566:a,SY567:a]: ((~ ((less_eq@SY566)@SY567)) | ((less_eq@((inf@SV6)@SY566))@((inf@SV128)@SY567))))=$true))),inference(extcnf_not_pos,[status(thm)],[904])). 18.87/19.13 thf(1022,plain,(![SV129:a,SV7:a]: ((((less_eq@SV7)@SV129)=$false) | ((![SY568:a]: ((less_eq@SV7)@((sup@SV129)@SY568)))=$true))),inference(extcnf_not_pos,[status(thm)],[905])). 18.87/19.13 thf(1023,plain,(![SV130:a,SV8:a]: ((((less_eq@SV8)@SV130)=$false) | ((![SY569:a]: ((less_eq@((inf@SY569)@SV8))@SV130))=$true))),inference(extcnf_not_pos,[status(thm)],[906])). 18.87/19.13 thf(1024,plain,(![SV134:a,SV12:a]: ((((less_eq@SV12)@SV134)=$false) | ((![SY572:a]: ((~ ((less_eq@SY572)@SV134)) | ((less_eq@((sup@SV12)@SY572))@SV134)))=$true))),inference(extcnf_not_pos,[status(thm)],[909])). 18.87/19.13 thf(1025,plain,(![SV136:a,SV14:a]: ((((less_eq@SV14)@SV136)=$false) | ((SV14 = ((inf@SV14)@SV136))=$true))),inference(extcnf_not_pos,[status(thm)],[910])). 18.87/19.13 thf(1026,plain,(![SV138:a,SV16:a]: ((((less_eq@SV16)@SV138)=$false) | ((![SY573:a,SY574:a]: ((~ ((less_eq@SY573)@SY574)) | ((less_eq@((sup@SV16)@SY573))@((sup@SV138)@SY574))))=$true))),inference(extcnf_not_pos,[status(thm)],[911])). 18.87/19.13 thf(1027,plain,(![SV139:a,SV17:a]: ((((less_eq@SV17)@SV139)=$false) | ((((inf@SV17)@SV139) = SV17)=$true))),inference(extcnf_not_pos,[status(thm)],[912])). 18.87/19.13 thf(1028,plain,(![SV141:a,SV19:a]: ((((less_eq@SV19)@SV141)=$false) | ((![SY575:a]: ((less_eq@SV19)@((sup@SY575)@SV141)))=$true))),inference(extcnf_not_pos,[status(thm)],[913])). 18.87/19.13 thf(1029,plain,(![SV143:a,SV21:a]: (((~ (((less_eq@SV21)@SV143) | (SV21 = ((inf@SV21)@SV143))))=$true) | ((~ ((~ ((less_eq@SV21)@SV143)) | (~ (SV21 = ((inf@SV21)@SV143)))))=$true))),inference(extcnf_or_pos,[status(thm)],[914])). 18.87/19.13 thf(1030,plain,(![SV145:a,SV23:a]: ((((less_eq@SV23)@SV145)=$false) | ((![SY576:a]: ((less_eq@((inf@SY576)@SV23))@SV145))=$true))),inference(extcnf_not_pos,[status(thm)],[916])). 18.87/19.13 thf(1031,plain,(![SV149:a,SV28:a]: (((SV28 = ((sup@SV28)@SV149))=$false) | (((less_eq@SV149)@SV28)=$true))),inference(extcnf_not_pos,[status(thm)],[918])). 18.87/19.13 thf(1032,plain,(![SV152:a,SV31:a]: (((~ (((less_eq@SV31)@SV152) | (((sup@SV152)@SV31) = SV152)))=$true) | ((~ ((~ ((less_eq@SV31)@SV152)) | (~ (((sup@SV152)@SV31) = SV152))))=$true))),inference(extcnf_or_pos,[status(thm)],[921])). 18.87/19.13 thf(1033,plain,(![SV154:a,SV33:a]: ((((less_eq@SV33)@SV154)=$false) | ((![SY580:a,SY581:a]: ((~ ((less_eq@SY580)@SY581)) | ((less_eq@((sup@SV33)@SY580))@((sup@SV154)@SY581))))=$true))),inference(extcnf_not_pos,[status(thm)],[923])). 18.87/19.13 thf(1034,plain,(![SV155:a,SV34:a]: ((((less_eq@SV34)@SV155)=$false) | ((![SY582:a]: ((~ ((less_eq@SV34)@SY582)) | ((less_eq@SV34)@((inf@SV155)@SY582))))=$true))),inference(extcnf_not_pos,[status(thm)],[924])). 18.87/19.13 thf(1035,plain,(![SV156:a,SV35:a]: ((((less_eq@SV35)@SV156)=$false) | ((((inf@SV156)@SV35) = SV35)=$true))),inference(extcnf_not_pos,[status(thm)],[925])). 18.87/19.13 thf(1036,plain,(![SV159:a,SV38:a]: ((((less_eq@SV38)@SV159)=$false) | ((![SY583:a]: ((~ ((less_eq@SV38)@SY583)) | ((less_eq@SV38)@((inf@SV159)@SY583))))=$true))),inference(extcnf_not_pos,[status(thm)],[926])). 18.87/19.13 thf(1037,plain,(![SV161:a,SV40:a]: (((~ (((less_eq@SV40)@SV161) | (((inf@SV161)@SV40) = SV40)))=$true) | ((~ ((~ ((less_eq@SV40)@SV161)) | (~ (((inf@SV161)@SV40) = SV40))))=$true))),inference(extcnf_or_pos,[status(thm)],[928])). 18.87/19.13 thf(1038,plain,(![SV162:a,SV41:a]: ((((less_eq@SV41)@SV162)=$false) | ((((sup@SV162)@SV41) = SV162)=$true))),inference(extcnf_not_pos,[status(thm)],[930])). 18.87/19.13 thf(1039,plain,(![SV164:a,SV43:a]: ((((less_eq@SV43)@SV164)=$false) | ((((sup@SV43)@SV164) = SV164)=$true))),inference(extcnf_not_pos,[status(thm)],[931])). 18.87/19.13 thf(1040,plain,(![SV166:a,SV45:a]: (((SV45 = ((inf@SV45)@SV166))=$false) | (((less_eq@SV45)@SV166)=$true))),inference(extcnf_not_pos,[status(thm)],[932])). 18.87/19.13 thf(1041,plain,(![SV167:a,SV46:a]: ((((less_eq@SV46)@SV167)=$false) | ((((inf@SV46)@SV167) = SV46)=$true))),inference(extcnf_not_pos,[status(thm)],[933])). 18.87/19.13 thf(1042,plain,(![SV169:a,SV49:a]: ((((less_eq@SV49)@SV169)=$false) | ((((sup@SV49)@SV169) = SV169)=$true))),inference(extcnf_not_pos,[status(thm)],[935])). 18.87/19.13 thf(1043,plain,(![SV174:a,SV55:a]: ((((less_eq@SV55)@SV174)=$false) | ((![SY589:a]: ((less_eq@((inf@SV55)@SY589))@SV174))=$true))),inference(extcnf_not_pos,[status(thm)],[939])). 18.87/19.13 thf(1044,plain,(![SV175:a,SV56:a]: ((((less_eq@SV56)@SV175)=$false) | ((![SY590:a]: ((~ ((less_eq@SY590)@SV175)) | ((less_eq@((sup@SV56)@SY590))@SV175)))=$true))),inference(extcnf_not_pos,[status(thm)],[940])). 18.87/19.13 thf(1045,plain,(![SV177:a,SV58:a]: (((~ (((less_eq@SV58)@SV177) | (((inf@SV58)@SV177) = SV58)))=$true) | ((~ ((~ ((less_eq@SV58)@SV177)) | (~ (((inf@SV58)@SV177) = SV58))))=$true))),inference(extcnf_or_pos,[status(thm)],[941])). 18.87/19.13 thf(1046,plain,(![SV181:a,SV62:a]: (((~ (((less_eq@SV62)@SV181) | (SV181 = ((sup@SV181)@SV62))))=$true) | ((~ ((~ ((less_eq@SV62)@SV181)) | (~ (SV181 = ((sup@SV181)@SV62)))))=$true))),inference(extcnf_or_pos,[status(thm)],[945])). 18.87/19.13 thf(1047,plain,(![SV182:a,SV63:a]: (((~ (((less_eq@SV63)@SV182) | (((sup@SV63)@SV182) = SV182)))=$true) | ((~ ((~ ((less_eq@SV63)@SV182)) | (~ (((sup@SV63)@SV182) = SV182))))=$true))),inference(extcnf_or_pos,[status(thm)],[947])). 18.87/19.13 thf(1048,plain,(![SV184:a,SV65:a]: ((((less_eq@SV65)@SV184)=$false) | ((SV184 = ((sup@SV184)@SV65))=$true))),inference(extcnf_not_pos,[status(thm)],[950])). 18.87/19.13 thf(1049,plain,(![SV186:a,SV67:a]: ((((less_eq@SV67)@SV186)=$false) | ((![SY594:a]: ((less_eq@SV67)@((sup@SY594)@SV186)))=$true))),inference(extcnf_not_pos,[status(thm)],[951])). 18.87/19.13 thf(1050,plain,(![SV188:a,SV69:a]: ((((less_eq@SV69)@SV188)=$false) | ((![SY595:a]: ((less_eq@((inf@SV69)@SY595))@SV188))=$true))),inference(extcnf_not_pos,[status(thm)],[952])). 18.87/19.13 thf(1051,plain,(![SV189:a,SV70:a]: ((((less_eq@SV70)@SV189)=$false) | ((![SY596:a]: ((~ ((less_eq@SY596)@SV189)) | ((less_eq@((sup@SV70)@SY596))@SV189)))=$true))),inference(extcnf_not_pos,[status(thm)],[953])). 18.87/19.13 thf(1052,plain,(![SV192:a,SV74:a]: ((((less_eq@SV74)@SV192)=$false) | ((((sup@SV192)@SV74) = SV192)=$true))),inference(extcnf_not_pos,[status(thm)],[954])). 18.87/19.13 thf(1053,plain,(![SV193:a,SV75:a]: (((~ (((less_eq@SV75)@SV193) | (((sup@SV75)@SV193) = SV193)))=$true) | ((~ ((~ ((less_eq@SV75)@SV193)) | (~ (((sup@SV75)@SV193) = SV193))))=$true))),inference(extcnf_or_pos,[status(thm)],[955])). 18.87/19.13 thf(1054,plain,(![SV194:a,SV76:a]: (((~ (((less_eq@SV76)@SV194) | (((inf@SV76)@SV194) = SV76)))=$true) | ((~ ((~ ((less_eq@SV76)@SV194)) | (~ (((inf@SV76)@SV194) = SV76))))=$true))),inference(extcnf_or_pos,[status(thm)],[957])). 18.87/19.13 thf(1055,plain,(![SV196:a,SV78:a]: ((((less_eq@SV78)@SV196)=$false) | ((![SY597:a]: ((~ ((less_eq@SV78)@SY597)) | ((less_eq@SV78)@((inf@SV196)@SY597))))=$true))),inference(extcnf_not_pos,[status(thm)],[959])). 18.87/19.13 thf(1056,plain,(![SV197:a,SV79:a]: (((SV79 = SV197)=$false) | ((![SY598:a]: ((~ ((less_eq@SV197)@SY598)) | ((less_eq@SV79)@SY598)))=$true))),inference(extcnf_not_pos,[status(thm)],[960])). 18.87/19.13 thf(1057,plain,(![SV198:a,SV80:a]: ((((less_eq@SV80)@SV198)=$false) | (((~ ((less_eq@SV198)@SV80)) | (SV198 = SV80))=$true))),inference(extcnf_not_pos,[status(thm)],[961])). 18.87/19.13 thf(1058,plain,(![SV249:a,SV81:(a>(a>a))]: (((![SY631:a]: (((SV81@SV249)@((SV81@SV249)@SY631)) = ((SV81@SV249)@SY631)))=$true) | ((semilattice_a@SV81)=$false))),inference(extcnf_forall_pos,[status(thm)],[962])). 18.87/19.13 thf(1059,plain,(![SV250:a,SV82:(a>(a>a))]: (((((SV82@SV250)@SV250) = SV250)=$true) | ((semilattice_a@SV82)=$false))),inference(extcnf_forall_pos,[status(thm)],[963])). 18.87/19.13 thf(1060,plain,(![SV199:a,SV83:(a>(a>a))]: (((abel_semigroup_a@SV83)=$false) | ((![SY599:a,SY600:a]: (((SV83@SV199)@((SV83@SY599)@SY600)) = ((SV83@SY599)@((SV83@SV199)@SY600))))=$true))),inference(extcnf_not_pos,[status(thm)],[964])). 18.87/19.13 thf(1061,plain,(![SV200:(a>(a>a))]: (((~ ((semigroup_a@SV200) | (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603))))))=$true) | ((~ ((~ (semigroup_a@SV200)) | (~ (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[965])). 18.87/19.13 thf(1062,plain,(![SV251:a,SV85:(a>(a>a))]: (((![SY632:a]: (((SV85@((SV85@SV251)@SY632))@SY632) = ((SV85@SV251)@SY632)))=$true) | ((semilattice_a@SV85)=$false))),inference(extcnf_forall_pos,[status(thm)],[967])). 18.87/19.13 thf(1063,plain,(![SV252:a,SV86:(a>(a>a))]: (((![SY633:a]: (((SV86@SV252)@SY633) = ((SV86@SY633)@SV252)))=$true) | ((abel_semigroup_a@SV86)=$false))),inference(extcnf_forall_pos,[status(thm)],[968])). 18.87/19.13 thf(1064,plain,(![SV201:(a>(a>a))]: (((~ ((lattic1885654924_set_a@SV201) | (semilattice_a@SV201)))=$true) | ((~ ((~ (lattic1885654924_set_a@SV201)) | (~ (semilattice_a@SV201))))=$true))),inference(extcnf_or_pos,[status(thm)],[971])). 18.87/19.13 thf(1065,plain,(![SV202:a,SV90:a]: ((((less_eq@SV90)@SV202)=$false) | ((![SY604:a]: ((~ ((less_eq@SY604)@SV90)) | ((less_eq@SY604)@SV202)))=$true))),inference(extcnf_not_pos,[status(thm)],[973])). 18.87/19.13 thf(1066,plain,(![SV253:a,SV92:(a>(a>a))]: (((![SY634:a]: (((SV92@SV253)@((SV92@SV253)@SY634)) = ((SV92@SV253)@SY634)))=$true) | ((finite40241356em_a_a@SV92)=$false))),inference(extcnf_forall_pos,[status(thm)],[975])). 18.87/19.13 thf(1067,plain,(![SV203:a,SV93:(a>(a>a))]: (((semigroup_a@SV93)=$false) | ((![SY605:a,SY606:a]: (((SV93@((SV93@SV203)@SY605))@SY606) = ((SV93@SV203)@((SV93@SY605)@SY606))))=$true))),inference(extcnf_not_pos,[status(thm)],[976])). 18.87/19.13 thf(1068,plain,(![SV204:a,SV94:a]: ((((less_eq@SV94)@SV204)=$false) | ((![SY607:a]: ((~ ((less_eq@SV204)@SY607)) | ((less_eq@SV94)@SY607)))=$true))),inference(extcnf_not_pos,[status(thm)],[977])). 18.87/19.13 thf(1069,plain,(![SV205:a,SV95:a]: (((SV95 = SV205)=$false) | (((less_eq@SV95)@SV205)=$true))),inference(extcnf_not_pos,[status(thm)],[978])). 18.87/19.13 thf(1070,plain,(![SV206:a,SV97:a]: ((((less_eq@SV97)@SV206)=$false) | (((~ ((less_eq@SV206)@SV97)) | (SV97 = SV206))=$true))),inference(extcnf_not_pos,[status(thm)],[980])). 18.87/19.13 thf(1071,plain,(![SV207:a,SV98:a]: ((((less_eq@SV98)@SV207)=$false) | (((~ ((less_eq@SV207)@SV98)) | (SV98 = SV207))=$true))),inference(extcnf_not_pos,[status(thm)],[981])). 18.87/19.13 thf(1072,plain,(![SV208:a,SV101:a]: ((((less_eq@SV101)@SV208)=$false) | ((![SY608:a]: ((~ ((less_eq@SV208)@SY608)) | ((less_eq@SV101)@SY608)))=$true))),inference(extcnf_not_pos,[status(thm)],[983])). 18.87/19.13 thf(1073,plain,(![SV209:a,SV102:a]: ((((less_eq@SV102)@SV209)=$false) | ((![SY609:a]: ((~ (SV209 = SY609)) | ((less_eq@SV102)@SY609)))=$true))),inference(extcnf_not_pos,[status(thm)],[984])). 18.87/19.13 thf(1074,plain,(![SV210:a,SV103:a]: ((((less_eq@SV103)@SV210)=$false) | ((((less_eq@SV210)@SV103) = (SV210 = SV103))=$true))),inference(extcnf_not_pos,[status(thm)],[985])). 18.87/19.13 thf(1075,plain,(![SV237:a,SV105:(a>$o)]: (((~ ((~ (~ ((~ (![SY626:a]: ((~ (SV105@SY626)) | ((less_eq@((sK2_Y2@SV237)@SV105))@SY626)))) | (~ (SV105@((sK2_Y2@SV237)@SV105)))))) | (~ (~ (((sK2_Y2@SV237)@SV105) = SV237)))))=$true) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_pos,[status(thm)],[986])). 18.87/19.13 thf(1076,plain,(![SV238:a,SV211:a,SV106:a]: ((((~ (((less_eq@SV106)@((inf@SV211)@SV238)) | (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))) | (~ ((~ ((less_eq@SV106)@((inf@SV211)@SV238))) | (~ (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238))))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[987])). 18.87/19.13 thf(1077,plain,(![SV238:a,SV211:a,SV106:a]: (((((less_eq@SV106)@((inf@SV211)@SV238)) = (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[987])). 18.87/19.13 thf(1078,plain,(![SV107:a]: (((![SY519:a,SY520:a]: ((~ ((less_eq@((sup@SV107)@SY519))@SY520)) | ((less_eq@SV107)@SY520)))=$true))),inference(extcnf_not_neg,[status(thm)],[988])). 18.87/19.13 thf(1079,plain,(![SV107:a]: (((![SY521:a,SY522:a]: ((~ ((less_eq@((sup@SV107)@SY521))@SY522)) | ((less_eq@SY521)@SY522)))=$true))),inference(extcnf_not_neg,[status(thm)],[989])). 18.87/19.13 thf(1080,plain,(![SV212:a,SV108:(a>$o)]: (((SV108@SV212)=$false) | (((~ ((~ (SV108@((sK4_Y2@SV212)@SV108))) | (~ (~ ((less_eq@((sK4_Y2@SV212)@SV108))@SV212))))) | (![SY611:(a>$o)]: ((~ ((~ (SV108@(((sK3_X2@SY611)@SV212)@SV108))) | (~ (~ ((~ (![SY612:a]: ((~ (SV108@SY612)) | ((less_eq@SY612)@(((sK3_X2@SY611)@SV212)@SV108))))) | (~ (~ (SY611@(((sK3_X2@SY611)@SV212)@SV108))))))))) | (SY611@((greatest_a@less_eq)@SV108)))))=$true))),inference(extcnf_not_pos,[status(thm)],[990])). 18.87/19.13 thf(1081,plain,(![SV213:a,SV109:(a>$o)]: (((SV109@SV213)=$false) | (((~ ((~ (SV109@((sK12_Y2@SV213)@SV109))) | (~ (~ ((less_eq@SV213)@((sK12_Y2@SV213)@SV109)))))) | (((least_a@less_eq)@SV109) = SV213))=$true))),inference(extcnf_not_pos,[status(thm)],[991])). 18.87/19.13 thf(1082,plain,(![SV110:(a>(a>a))]: (((~ ((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110))))=$true) | (((~ ((~ ((less_eq@(sK22_SY360@SV110))@(sK21_X2@SV110))) | (~ (~ ((~ ((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110))) | (~ (~ ((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110))))))))) | (![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528))))=$true) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_or_pos,[status(thm)],[992])). 18.87/19.13 thf(1083,plain,(![SV254:a]: (((![SY635:a]: ((~ ((less_eq@SV254)@SY635)) | ((((max_a@less_eq)@SV254)@SY635) = SY635)))=$true))),inference(extcnf_forall_pos,[status(thm)],[993])). 18.87/19.13 thf(1084,plain,(![SV255:a]: (((![SY636:a]: (((less_eq@SV255)@SY636) | ((((max_a@less_eq)@SV255)@SY636) = SV255)))=$true))),inference(extcnf_forall_pos,[status(thm)],[994])). 18.87/19.13 thf(1085,plain,(![SV239:a,SV214:a,SV111:a]: ((((~ (((less_eq@((sup@SV111)@SV214))@SV239) | (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))) | (~ ((~ ((less_eq@((sup@SV111)@SV214))@SV239)) | (~ (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239))))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[995])). 18.87/19.13 thf(1086,plain,(![SV239:a,SV214:a,SV111:a]: (((((less_eq@((sup@SV111)@SV214))@SV239) = (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[995])). 18.87/19.13 thf(1087,plain,(![SV256:a,SV215:a]: ((((SV215 = SV256) = (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[996])). 18.87/19.13 thf(1088,plain,(![SV241:a,SV113:(a>$o)]: (((~ ((~ (~ ((~ (![SY627:a]: ((~ (SV113@SY627)) | ((less_eq@((sK11_Y2@SV241)@SV113))@SY627)))) | (~ (SV113@((sK11_Y2@SV241)@SV113)))))) | (~ (~ (((sK11_Y2@SV241)@SV113) = SV241)))))=$true) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_pos,[status(thm)],[998])). 18.87/19.13 thf(1089,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257)) = ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[999])). 18.87/19.13 thf(1090,plain,(![SV217:a,SV115:(a>$o)]: (((SV115@SV217)=$false) | (((~ ((~ (SV115@((sK6_Y2@SV217)@SV115))) | (~ (~ ((less_eq@SV217)@((sK6_Y2@SV217)@SV115)))))) | (![SY618:(a>$o)]: ((~ ((~ (SV115@(((sK5_X2@SY618)@SV217)@SV115))) | (~ (~ ((~ (![SY619:a]: ((~ (SV115@SY619)) | ((less_eq@(((sK5_X2@SY618)@SV217)@SV115))@SY619)))) | (~ (~ (SY618@(((sK5_X2@SY618)@SV217)@SV115))))))))) | (SY618@((least_a@less_eq)@SV115)))))=$true))),inference(extcnf_not_pos,[status(thm)],[1000])). 18.87/19.13 thf(1091,plain,(![SV218:a,SV116:(a>$o)]: (((SV116@SV218)=$false) | (((~ ((~ (SV116@((sK13_Y2@SV218)@SV116))) | (~ (~ ((less_eq@((sK13_Y2@SV218)@SV116))@SV218))))) | (((greatest_a@less_eq)@SV116) = SV218))=$true))),inference(extcnf_not_pos,[status(thm)],[1001])). 18.87/19.13 thf(1092,plain,(![SV258:a,SV219:a]: ((((SV219 = SV258) = (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[1002])). 18.87/19.13 thf(1093,plain,(![SV118:a]: (((![SY544:a,SY545:a]: ((~ ((less_eq@((sup@SV118)@SY544))@SY545)) | ((less_eq@SV118)@SY545)))=$true))),inference(extcnf_not_neg,[status(thm)],[1004])). 18.87/19.13 thf(1094,plain,(![SV118:a]: (((![SY546:a,SY547:a]: ((~ ((less_eq@((sup@SV118)@SY546))@SY547)) | ((less_eq@SY546)@SY547)))=$true))),inference(extcnf_not_neg,[status(thm)],[1005])). 18.87/19.13 thf(1095,plain,(![SV119:a]: (((![SY548:a]: ((![SY549:a]: (~ ((less_eq@SV119)@((inf@SY548)@SY549)))) | ((less_eq@SV119)@SY548)))=$true))),inference(extcnf_not_neg,[status(thm)],[1006])). 18.87/19.13 thf(1096,plain,(![SV119:a]: (((![SY550:a,SY551:a]: ((~ ((less_eq@SV119)@((inf@SY550)@SY551))) | ((less_eq@SV119)@SY551)))=$true))),inference(extcnf_not_neg,[status(thm)],[1007])). 18.87/19.13 thf(1097,plain,(![SV120:a]: (((![SY552:a]: ((![SY553:a]: (~ ((less_eq@SV120)@((inf@SY552)@SY553)))) | ((less_eq@SV120)@SY552)))=$true))),inference(extcnf_not_neg,[status(thm)],[1008])). 18.87/19.13 thf(1098,plain,(![SV120:a]: (((![SY554:a,SY555:a]: ((~ ((less_eq@SV120)@((inf@SY554)@SY555))) | ((less_eq@SV120)@SY555)))=$true))),inference(extcnf_not_neg,[status(thm)],[1009])). 18.87/19.13 thf(1099,plain,(![SV244:a,SV220:a,SV121:a]: ((((~ (((less_eq@((sup@SV121)@SV220))@SV244) | (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))) | (~ ((~ ((less_eq@((sup@SV121)@SV220))@SV244)) | (~ (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244))))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[1010])). 18.87/19.13 thf(1100,plain,(![SV244:a,SV220:a,SV121:a]: (((((less_eq@((sup@SV121)@SV220))@SV244) = (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[1010])). 18.87/19.13 thf(1101,plain,(![SV259:a]: (((![SY637:a]: (((less_eq@SV259)@SY637) | ((((min_a@less_eq)@SV259)@SY637) = SY637)))=$true))),inference(extcnf_forall_pos,[status(thm)],[1011])). 18.87/19.13 thf(1102,plain,(![SV260:a]: (((![SY638:a]: ((~ ((less_eq@SV260)@SY638)) | ((((min_a@less_eq)@SV260)@SY638) = SV260)))=$true))),inference(extcnf_forall_pos,[status(thm)],[1012])). 18.87/19.13 thf(1103,plain,(![SV261:a,SV221:a]: ((((SV221 = SV261) = (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[1013])). 18.87/19.13 thf(1104,plain,(![SV123:(a>(a>a))]: (((~ ((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123)))=$true) | (((~ ((~ ((less_eq@(sK14_X2@SV123))@(sK15_SY355@SV123))) | (~ (~ ((~ ((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123))) | (~ (~ ((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123)))))))))) | (![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561))))=$true) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_or_pos,[status(thm)],[1015])). 18.87/19.13 thf(1105,plain,(![SV246:a,SV222:a,SV124:a]: ((((~ (((less_eq@SV124)@((inf@SV222)@SV246)) | (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))) | (~ ((~ ((less_eq@SV124)@((inf@SV222)@SV246))) | (~ (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222))))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[1016])). 18.87/19.13 thf(1106,plain,(![SV246:a,SV222:a,SV124:a]: (((((less_eq@SV124)@((inf@SV222)@SV246)) = (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[1016])). 18.87/19.13 thf(1107,plain,(![SV262:a,SV247:a,SV3:a]: (((((inf@SV3)@((sup@SV247)@SV262)) = ((sup@((inf@SV3)@SV247))@((inf@SV3)@SV262)))=$true) | ((((sup@(sK31_X2@SV3))@((inf@(sK32_SY368@SV3))@(sK33_SY370@SV3))) = ((inf@((sup@(sK31_X2@SV3))@(sK32_SY368@SV3)))@((sup@(sK31_X2@SV3))@(sK33_SY370@SV3))))=$false))),inference(extcnf_forall_pos,[status(thm)],[1018])). 18.87/19.13 thf(1108,plain,(![SV263:a,SV248:a,SV4:a]: (((((sup@SV4)@((inf@SV248)@SV263)) = ((inf@((sup@SV4)@SV248))@((sup@SV4)@SV263)))=$true) | ((((inf@(sK28_X2@SV4))@((sup@(sK29_SY365@SV4))@(sK30_SY367@SV4))) = ((sup@((inf@(sK28_X2@SV4))@(sK29_SY365@SV4)))@((inf@(sK28_X2@SV4))@(sK30_SY367@SV4))))=$false))),inference(extcnf_forall_pos,[status(thm)],[1019])). 18.87/19.13 thf(1109,plain,(![SV264:a,SV127:a,SV5:a]: ((((less_eq@SV5)@((sup@SV127)@SV264))=$true) | (((less_eq@SV5)@SV127)=$false))),inference(extcnf_forall_pos,[status(thm)],[1020])). 18.87/19.13 thf(1110,plain,(![SV128:a,SV6:a,SV265:a]: (((![SY639:a]: ((~ ((less_eq@SV265)@SY639)) | ((less_eq@((inf@SV6)@SV265))@((inf@SV128)@SY639))))=$true) | (((less_eq@SV6)@SV128)=$false))),inference(extcnf_forall_pos,[status(thm)],[1021])). 18.87/19.13 thf(1111,plain,(![SV266:a,SV129:a,SV7:a]: ((((less_eq@SV7)@((sup@SV129)@SV266))=$true) | (((less_eq@SV7)@SV129)=$false))),inference(extcnf_forall_pos,[status(thm)],[1022])). 18.87/19.13 thf(1112,plain,(![SV130:a,SV8:a,SV267:a]: ((((less_eq@((inf@SV267)@SV8))@SV130)=$true) | (((less_eq@SV8)@SV130)=$false))),inference(extcnf_forall_pos,[status(thm)],[1023])). 18.87/19.13 thf(1113,plain,(![SV12:a,SV134:a,SV268:a]: ((((~ ((less_eq@SV268)@SV134)) | ((less_eq@((sup@SV12)@SV268))@SV134))=$true) | (((less_eq@SV12)@SV134)=$false))),inference(extcnf_forall_pos,[status(thm)],[1024])). 18.87/19.13 thf(1114,plain,(![SV138:a,SV16:a,SV269:a]: (((![SY640:a]: ((~ ((less_eq@SV269)@SY640)) | ((less_eq@((sup@SV16)@SV269))@((sup@SV138)@SY640))))=$true) | (((less_eq@SV16)@SV138)=$false))),inference(extcnf_forall_pos,[status(thm)],[1026])). 18.87/19.13 thf(1115,plain,(![SV141:a,SV270:a,SV19:a]: ((((less_eq@SV19)@((sup@SV270)@SV141))=$true) | (((less_eq@SV19)@SV141)=$false))),inference(extcnf_forall_pos,[status(thm)],[1028])). 18.87/19.13 thf(1116,plain,(![SV143:a,SV21:a]: (((((less_eq@SV21)@SV143) | (SV21 = ((inf@SV21)@SV143)))=$false) | ((~ ((~ ((less_eq@SV21)@SV143)) | (~ (SV21 = ((inf@SV21)@SV143)))))=$true))),inference(extcnf_not_pos,[status(thm)],[1029])). 18.87/19.13 thf(1117,plain,(![SV145:a,SV23:a,SV271:a]: ((((less_eq@((inf@SV271)@SV23))@SV145)=$true) | (((less_eq@SV23)@SV145)=$false))),inference(extcnf_forall_pos,[status(thm)],[1030])). 18.87/19.13 thf(1118,plain,(![SV152:a,SV31:a]: (((((less_eq@SV31)@SV152) | (((sup@SV152)@SV31) = SV152))=$false) | ((~ ((~ ((less_eq@SV31)@SV152)) | (~ (((sup@SV152)@SV31) = SV152))))=$true))),inference(extcnf_not_pos,[status(thm)],[1032])). 18.87/19.13 thf(1119,plain,(![SV154:a,SV33:a,SV272:a]: (((![SY641:a]: ((~ ((less_eq@SV272)@SY641)) | ((less_eq@((sup@SV33)@SV272))@((sup@SV154)@SY641))))=$true) | (((less_eq@SV33)@SV154)=$false))),inference(extcnf_forall_pos,[status(thm)],[1033])). 18.87/19.13 thf(1120,plain,(![SV155:a,SV273:a,SV34:a]: ((((~ ((less_eq@SV34)@SV273)) | ((less_eq@SV34)@((inf@SV155)@SV273)))=$true) | (((less_eq@SV34)@SV155)=$false))),inference(extcnf_forall_pos,[status(thm)],[1034])). 18.87/19.13 thf(1121,plain,(![SV159:a,SV274:a,SV38:a]: ((((~ ((less_eq@SV38)@SV274)) | ((less_eq@SV38)@((inf@SV159)@SV274)))=$true) | (((less_eq@SV38)@SV159)=$false))),inference(extcnf_forall_pos,[status(thm)],[1036])). 18.87/19.13 thf(1122,plain,(![SV161:a,SV40:a]: (((((less_eq@SV40)@SV161) | (((inf@SV161)@SV40) = SV40))=$false) | ((~ ((~ ((less_eq@SV40)@SV161)) | (~ (((inf@SV161)@SV40) = SV40))))=$true))),inference(extcnf_not_pos,[status(thm)],[1037])). 18.87/19.13 thf(1123,plain,(![SV174:a,SV275:a,SV55:a]: ((((less_eq@((inf@SV55)@SV275))@SV174)=$true) | (((less_eq@SV55)@SV174)=$false))),inference(extcnf_forall_pos,[status(thm)],[1043])). 18.87/19.13 thf(1124,plain,(![SV56:a,SV175:a,SV276:a]: ((((~ ((less_eq@SV276)@SV175)) | ((less_eq@((sup@SV56)@SV276))@SV175))=$true) | (((less_eq@SV56)@SV175)=$false))),inference(extcnf_forall_pos,[status(thm)],[1044])). 18.87/19.13 thf(1125,plain,(![SV177:a,SV58:a]: (((((less_eq@SV58)@SV177) | (((inf@SV58)@SV177) = SV58))=$false) | ((~ ((~ ((less_eq@SV58)@SV177)) | (~ (((inf@SV58)@SV177) = SV58))))=$true))),inference(extcnf_not_pos,[status(thm)],[1045])). 18.87/19.13 thf(1126,plain,(![SV181:a,SV62:a]: (((((less_eq@SV62)@SV181) | (SV181 = ((sup@SV181)@SV62)))=$false) | ((~ ((~ ((less_eq@SV62)@SV181)) | (~ (SV181 = ((sup@SV181)@SV62)))))=$true))),inference(extcnf_not_pos,[status(thm)],[1046])). 18.87/19.13 thf(1127,plain,(![SV182:a,SV63:a]: (((((less_eq@SV63)@SV182) | (((sup@SV63)@SV182) = SV182))=$false) | ((~ ((~ ((less_eq@SV63)@SV182)) | (~ (((sup@SV63)@SV182) = SV182))))=$true))),inference(extcnf_not_pos,[status(thm)],[1047])). 18.87/19.13 thf(1128,plain,(![SV186:a,SV277:a,SV67:a]: ((((less_eq@SV67)@((sup@SV277)@SV186))=$true) | (((less_eq@SV67)@SV186)=$false))),inference(extcnf_forall_pos,[status(thm)],[1049])). 18.87/19.13 thf(1129,plain,(![SV188:a,SV278:a,SV69:a]: ((((less_eq@((inf@SV69)@SV278))@SV188)=$true) | (((less_eq@SV69)@SV188)=$false))),inference(extcnf_forall_pos,[status(thm)],[1050])). 18.87/19.13 thf(1130,plain,(![SV70:a,SV189:a,SV279:a]: ((((~ ((less_eq@SV279)@SV189)) | ((less_eq@((sup@SV70)@SV279))@SV189))=$true) | (((less_eq@SV70)@SV189)=$false))),inference(extcnf_forall_pos,[status(thm)],[1051])). 18.87/19.13 thf(1131,plain,(![SV193:a,SV75:a]: (((((less_eq@SV75)@SV193) | (((sup@SV75)@SV193) = SV193))=$false) | ((~ ((~ ((less_eq@SV75)@SV193)) | (~ (((sup@SV75)@SV193) = SV193))))=$true))),inference(extcnf_not_pos,[status(thm)],[1053])). 18.87/19.13 thf(1132,plain,(![SV194:a,SV76:a]: (((((less_eq@SV76)@SV194) | (((inf@SV76)@SV194) = SV76))=$false) | ((~ ((~ ((less_eq@SV76)@SV194)) | (~ (((inf@SV76)@SV194) = SV76))))=$true))),inference(extcnf_not_pos,[status(thm)],[1054])). 18.87/19.13 thf(1133,plain,(![SV196:a,SV280:a,SV78:a]: ((((~ ((less_eq@SV78)@SV280)) | ((less_eq@SV78)@((inf@SV196)@SV280)))=$true) | (((less_eq@SV78)@SV196)=$false))),inference(extcnf_forall_pos,[status(thm)],[1055])). 18.87/19.13 thf(1134,plain,(![SV79:a,SV281:a,SV197:a]: ((((~ ((less_eq@SV197)@SV281)) | ((less_eq@SV79)@SV281))=$true) | ((SV79 = SV197)=$false))),inference(extcnf_forall_pos,[status(thm)],[1056])). 18.87/19.13 thf(1135,plain,(![SV80:a,SV198:a]: (((~ ((less_eq@SV198)@SV80))=$true) | ((SV198 = SV80)=$true) | (((less_eq@SV80)@SV198)=$false))),inference(extcnf_or_pos,[status(thm)],[1057])). 18.87/19.13 thf(1136,plain,(![SV282:a,SV249:a,SV81:(a>(a>a))]: (((((SV81@SV249)@((SV81@SV249)@SV282)) = ((SV81@SV249)@SV282))=$true) | ((semilattice_a@SV81)=$false))),inference(extcnf_forall_pos,[status(thm)],[1058])). 18.87/19.13 thf(1137,plain,(![SV283:a,SV199:a,SV83:(a>(a>a))]: (((![SY642:a]: (((SV83@SV199)@((SV83@SV283)@SY642)) = ((SV83@SV283)@((SV83@SV199)@SY642))))=$true) | ((abel_semigroup_a@SV83)=$false))),inference(extcnf_forall_pos,[status(thm)],[1060])). 18.87/19.13 thf(1138,plain,(![SV200:(a>(a>a))]: ((((semigroup_a@SV200) | (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603)))))=$false) | ((~ ((~ (semigroup_a@SV200)) | (~ (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1061])). 18.87/19.13 thf(1139,plain,(![SV284:a,SV251:a,SV85:(a>(a>a))]: (((((SV85@((SV85@SV251)@SV284))@SV284) = ((SV85@SV251)@SV284))=$true) | ((semilattice_a@SV85)=$false))),inference(extcnf_forall_pos,[status(thm)],[1062])). 18.87/19.13 thf(1140,plain,(![SV285:a,SV252:a,SV86:(a>(a>a))]: (((((SV86@SV252)@SV285) = ((SV86@SV285)@SV252))=$true) | ((abel_semigroup_a@SV86)=$false))),inference(extcnf_forall_pos,[status(thm)],[1063])). 18.87/19.13 thf(1141,plain,(![SV201:(a>(a>a))]: ((((lattic1885654924_set_a@SV201) | (semilattice_a@SV201))=$false) | ((~ ((~ (lattic1885654924_set_a@SV201)) | (~ (semilattice_a@SV201))))=$true))),inference(extcnf_not_pos,[status(thm)],[1064])). 18.87/19.13 thf(1142,plain,(![SV202:a,SV90:a,SV286:a]: ((((~ ((less_eq@SV286)@SV90)) | ((less_eq@SV286)@SV202))=$true) | (((less_eq@SV90)@SV202)=$false))),inference(extcnf_forall_pos,[status(thm)],[1065])). 18.87/19.13 thf(1143,plain,(![SV287:a,SV253:a,SV92:(a>(a>a))]: (((((SV92@SV253)@((SV92@SV253)@SV287)) = ((SV92@SV253)@SV287))=$true) | ((finite40241356em_a_a@SV92)=$false))),inference(extcnf_forall_pos,[status(thm)],[1066])). 18.87/19.13 thf(1144,plain,(![SV288:a,SV203:a,SV93:(a>(a>a))]: (((![SY643:a]: (((SV93@((SV93@SV203)@SV288))@SY643) = ((SV93@SV203)@((SV93@SV288)@SY643))))=$true) | ((semigroup_a@SV93)=$false))),inference(extcnf_forall_pos,[status(thm)],[1067])). 18.87/19.13 thf(1145,plain,(![SV94:a,SV289:a,SV204:a]: ((((~ ((less_eq@SV204)@SV289)) | ((less_eq@SV94)@SV289))=$true) | (((less_eq@SV94)@SV204)=$false))),inference(extcnf_forall_pos,[status(thm)],[1068])). 18.87/19.13 thf(1146,plain,(![SV97:a,SV206:a]: (((~ ((less_eq@SV206)@SV97))=$true) | ((SV97 = SV206)=$true) | (((less_eq@SV97)@SV206)=$false))),inference(extcnf_or_pos,[status(thm)],[1070])). 18.87/19.13 thf(1147,plain,(![SV98:a,SV207:a]: (((~ ((less_eq@SV207)@SV98))=$true) | ((SV98 = SV207)=$true) | (((less_eq@SV98)@SV207)=$false))),inference(extcnf_or_pos,[status(thm)],[1071])). 18.87/19.13 thf(1148,plain,(![SV101:a,SV290:a,SV208:a]: ((((~ ((less_eq@SV208)@SV290)) | ((less_eq@SV101)@SV290))=$true) | (((less_eq@SV101)@SV208)=$false))),inference(extcnf_forall_pos,[status(thm)],[1072])). 18.87/19.13 thf(1149,plain,(![SV102:a,SV291:a,SV209:a]: ((((~ (SV209 = SV291)) | ((less_eq@SV102)@SV291))=$true) | (((less_eq@SV102)@SV209)=$false))),inference(extcnf_forall_pos,[status(thm)],[1073])). 18.87/19.13 thf(1150,plain,(![SV103:a,SV210:a]: ((((~ (((less_eq@SV210)@SV103) | (SV210 = SV103))) | (~ ((~ ((less_eq@SV210)@SV103)) | (~ (SV210 = SV103)))))=$true) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_equal_pos,[status(thm)],[1074])). 18.87/19.13 thf(1151,plain,(![SV103:a,SV210:a]: (((((less_eq@SV210)@SV103) = (SV210 = SV103))=$true) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_equal_pos,[status(thm)],[1074])). 18.87/19.13 thf(1152,plain,(![SV237:a,SV105:(a>$o)]: ((((~ (~ ((~ (![SY626:a]: ((~ (SV105@SY626)) | ((less_eq@((sK2_Y2@SV237)@SV105))@SY626)))) | (~ (SV105@((sK2_Y2@SV237)@SV105)))))) | (~ (~ (((sK2_Y2@SV237)@SV105) = SV237))))=$false) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1075])). 18.87/19.13 thf(1153,plain,(![SV238:a,SV211:a,SV106:a]: (((~ (((less_eq@SV106)@((inf@SV211)@SV238)) | (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238))))))=$true) | ((~ ((~ ((less_eq@SV106)@((inf@SV211)@SV238))) | (~ (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1076])). 18.87/19.13 thf(1154,plain,(![SV292:a,SV107:a]: (((![SY644:a]: ((~ ((less_eq@((sup@SV107)@SV292))@SY644)) | ((less_eq@SV107)@SY644)))=$true))),inference(extcnf_forall_pos,[status(thm)],[1078])). 18.87/19.13 thf(1155,plain,(![SV293:a,SV107:a]: (((![SY645:a]: ((~ ((less_eq@((sup@SV107)@SV293))@SY645)) | ((less_eq@SV293)@SY645)))=$true))),inference(extcnf_forall_pos,[status(thm)],[1079])). 18.87/19.13 thf(1156,plain,(![SV212:a,SV108:(a>$o)]: (((~ ((~ (SV108@((sK4_Y2@SV212)@SV108))) | (~ (~ ((less_eq@((sK4_Y2@SV212)@SV108))@SV212)))))=$true) | ((![SY611:(a>$o)]: ((~ ((~ (SV108@(((sK3_X2@SY611)@SV212)@SV108))) | (~ (~ ((~ (![SY612:a]: ((~ (SV108@SY612)) | ((less_eq@SY612)@(((sK3_X2@SY611)@SV212)@SV108))))) | (~ (~ (SY611@(((sK3_X2@SY611)@SV212)@SV108))))))))) | (SY611@((greatest_a@less_eq)@SV108))))=$true) | ((SV108@SV212)=$false))),inference(extcnf_or_pos,[status(thm)],[1080])). 18.87/19.13 thf(1157,plain,(![SV213:a,SV109:(a>$o)]: (((~ ((~ (SV109@((sK12_Y2@SV213)@SV109))) | (~ (~ ((less_eq@SV213)@((sK12_Y2@SV213)@SV109))))))=$true) | ((((least_a@less_eq)@SV109) = SV213)=$true) | ((SV109@SV213)=$false))),inference(extcnf_or_pos,[status(thm)],[1081])). 18.87/19.13 thf(1158,plain,(![SV110:(a>(a>a))]: ((((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((~ ((~ ((less_eq@(sK22_SY360@SV110))@(sK21_X2@SV110))) | (~ (~ ((~ ((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110))) | (~ (~ ((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110))))))))) | (![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528))))=$true) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_not_pos,[status(thm)],[1082])). 18.87/19.13 thf(1159,plain,(![SV294:a,SV254:a]: ((((~ ((less_eq@SV254)@SV294)) | ((((max_a@less_eq)@SV254)@SV294) = SV294))=$true))),inference(extcnf_forall_pos,[status(thm)],[1083])). 18.87/19.13 thf(1160,plain,(![SV295:a,SV255:a]: (((((less_eq@SV255)@SV295) | ((((max_a@less_eq)@SV255)@SV295) = SV255))=$true))),inference(extcnf_forall_pos,[status(thm)],[1084])). 18.87/19.13 thf(1161,plain,(![SV239:a,SV214:a,SV111:a]: (((~ (((less_eq@((sup@SV111)@SV214))@SV239) | (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239))))))=$true) | ((~ ((~ ((less_eq@((sup@SV111)@SV214))@SV239)) | (~ (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1085])). 18.87/19.13 thf(1162,plain,(![SV256:a,SV215:a]: ((((~ ((SV215 = SV256) | (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))) | (~ ((~ (SV215 = SV256)) | (~ (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215))))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[1087])). 18.87/19.13 thf(1163,plain,(![SV256:a,SV215:a]: ((((SV215 = SV256) = (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[1087])). 18.87/19.13 thf(1164,plain,(![SV241:a,SV113:(a>$o)]: ((((~ (~ ((~ (![SY627:a]: ((~ (SV113@SY627)) | ((less_eq@((sK11_Y2@SV241)@SV113))@SY627)))) | (~ (SV113@((sK11_Y2@SV241)@SV113)))))) | (~ (~ (((sK11_Y2@SV241)@SV113) = SV241))))=$false) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1088])). 18.87/19.13 thf(1165,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: ((((~ (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257)) | ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))) | (~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257)))))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[1089])). 18.87/19.13 thf(1166,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257)) = ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[1089])). 18.87/19.13 thf(1167,plain,(![SV217:a,SV115:(a>$o)]: (((~ ((~ (SV115@((sK6_Y2@SV217)@SV115))) | (~ (~ ((less_eq@SV217)@((sK6_Y2@SV217)@SV115))))))=$true) | ((![SY618:(a>$o)]: ((~ ((~ (SV115@(((sK5_X2@SY618)@SV217)@SV115))) | (~ (~ ((~ (![SY619:a]: ((~ (SV115@SY619)) | ((less_eq@(((sK5_X2@SY618)@SV217)@SV115))@SY619)))) | (~ (~ (SY618@(((sK5_X2@SY618)@SV217)@SV115))))))))) | (SY618@((least_a@less_eq)@SV115))))=$true) | ((SV115@SV217)=$false))),inference(extcnf_or_pos,[status(thm)],[1090])). 18.87/19.13 thf(1168,plain,(![SV218:a,SV116:(a>$o)]: (((~ ((~ (SV116@((sK13_Y2@SV218)@SV116))) | (~ (~ ((less_eq@((sK13_Y2@SV218)@SV116))@SV218)))))=$true) | ((((greatest_a@less_eq)@SV116) = SV218)=$true) | ((SV116@SV218)=$false))),inference(extcnf_or_pos,[status(thm)],[1091])). 18.87/19.13 thf(1169,plain,(![SV258:a,SV219:a]: ((((~ ((SV219 = SV258) | (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))) | (~ ((~ (SV219 = SV258)) | (~ (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258))))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[1092])). 18.87/19.13 thf(1170,plain,(![SV258:a,SV219:a]: ((((SV219 = SV258) = (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[1092])). 18.87/19.13 thf(1171,plain,(![SV296:a,SV118:a]: (((![SY646:a]: ((~ ((less_eq@((sup@SV118)@SV296))@SY646)) | ((less_eq@SV118)@SY646)))=$true))),inference(extcnf_forall_pos,[status(thm)],[1093])). 18.87/19.13 thf(1172,plain,(![SV297:a,SV118:a]: (((![SY647:a]: ((~ ((less_eq@((sup@SV118)@SV297))@SY647)) | ((less_eq@SV297)@SY647)))=$true))),inference(extcnf_forall_pos,[status(thm)],[1094])). 18.87/19.13 thf(1173,plain,(![SV298:a,SV119:a]: ((((![SY648:a]: (~ ((less_eq@SV119)@((inf@SV298)@SY648)))) | ((less_eq@SV119)@SV298))=$true))),inference(extcnf_forall_pos,[status(thm)],[1095])). 18.87/19.13 thf(1174,plain,(![SV299:a,SV119:a]: (((![SY649:a]: ((~ ((less_eq@SV119)@((inf@SV299)@SY649))) | ((less_eq@SV119)@SY649)))=$true))),inference(extcnf_forall_pos,[status(thm)],[1096])). 18.87/19.13 thf(1175,plain,(![SV300:a,SV120:a]: ((((![SY650:a]: (~ ((less_eq@SV120)@((inf@SV300)@SY650)))) | ((less_eq@SV120)@SV300))=$true))),inference(extcnf_forall_pos,[status(thm)],[1097])). 18.87/19.13 thf(1176,plain,(![SV301:a,SV120:a]: (((![SY651:a]: ((~ ((less_eq@SV120)@((inf@SV301)@SY651))) | ((less_eq@SV120)@SY651)))=$true))),inference(extcnf_forall_pos,[status(thm)],[1098])). 18.87/19.13 thf(1177,plain,(![SV244:a,SV220:a,SV121:a]: (((~ (((less_eq@((sup@SV121)@SV220))@SV244) | (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244))))))=$true) | ((~ ((~ ((less_eq@((sup@SV121)@SV220))@SV244)) | (~ (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1099])). 18.87/19.13 thf(1178,plain,(![SV302:a,SV259:a]: (((((less_eq@SV259)@SV302) | ((((min_a@less_eq)@SV259)@SV302) = SV302))=$true))),inference(extcnf_forall_pos,[status(thm)],[1101])). 18.87/19.13 thf(1179,plain,(![SV303:a,SV260:a]: ((((~ ((less_eq@SV260)@SV303)) | ((((min_a@less_eq)@SV260)@SV303) = SV260))=$true))),inference(extcnf_forall_pos,[status(thm)],[1102])). 18.87/19.13 thf(1180,plain,(![SV261:a,SV221:a]: ((((~ ((SV221 = SV261) | (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))) | (~ ((~ (SV221 = SV261)) | (~ (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221))))))))=$true))),inference(extcnf_equal_pos,[status(thm)],[1103])). 18.87/19.13 thf(1181,plain,(![SV261:a,SV221:a]: ((((SV221 = SV261) = (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))=$true))),inference(extcnf_equal_pos,[status(thm)],[1103])). 18.87/19.13 thf(1182,plain,(![SV123:(a>(a>a))]: ((((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((~ ((~ ((less_eq@(sK14_X2@SV123))@(sK15_SY355@SV123))) | (~ (~ ((~ ((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123))) | (~ (~ ((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123)))))))))) | (![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561))))=$true) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_not_pos,[status(thm)],[1104])). 18.87/19.13 thf(1183,plain,(![SV246:a,SV222:a,SV124:a]: (((~ (((less_eq@SV124)@((inf@SV222)@SV246)) | (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222))))))=$true) | ((~ ((~ ((less_eq@SV124)@((inf@SV222)@SV246))) | (~ (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1105])). 18.87/19.13 thf(1184,plain,(![SV128:a,SV6:a,SV304:a,SV265:a]: ((((~ ((less_eq@SV265)@SV304)) | ((less_eq@((inf@SV6)@SV265))@((inf@SV128)@SV304)))=$true) | (((less_eq@SV6)@SV128)=$false))),inference(extcnf_forall_pos,[status(thm)],[1110])). 18.87/19.13 thf(1185,plain,(![SV12:a,SV134:a,SV268:a]: (((~ ((less_eq@SV268)@SV134))=$true) | (((less_eq@((sup@SV12)@SV268))@SV134)=$true) | (((less_eq@SV12)@SV134)=$false))),inference(extcnf_or_pos,[status(thm)],[1113])). 18.87/19.13 thf(1186,plain,(![SV138:a,SV16:a,SV305:a,SV269:a]: ((((~ ((less_eq@SV269)@SV305)) | ((less_eq@((sup@SV16)@SV269))@((sup@SV138)@SV305)))=$true) | (((less_eq@SV16)@SV138)=$false))),inference(extcnf_forall_pos,[status(thm)],[1114])). 18.87/19.13 thf(1187,plain,(![SV143:a,SV21:a]: ((((less_eq@SV21)@SV143)=$false) | ((~ ((~ ((less_eq@SV21)@SV143)) | (~ (SV21 = ((inf@SV21)@SV143)))))=$true))),inference(extcnf_or_neg,[status(thm)],[1116])). 18.87/19.13 thf(1188,plain,(![SV143:a,SV21:a]: (((SV21 = ((inf@SV21)@SV143))=$false) | ((~ ((~ ((less_eq@SV21)@SV143)) | (~ (SV21 = ((inf@SV21)@SV143)))))=$true))),inference(extcnf_or_neg,[status(thm)],[1116])). 18.87/19.13 thf(1189,plain,(![SV152:a,SV31:a]: ((((less_eq@SV31)@SV152)=$false) | ((~ ((~ ((less_eq@SV31)@SV152)) | (~ (((sup@SV152)@SV31) = SV152))))=$true))),inference(extcnf_or_neg,[status(thm)],[1118])). 18.87/19.13 thf(1190,plain,(![SV31:a,SV152:a]: (((((sup@SV152)@SV31) = SV152)=$false) | ((~ ((~ ((less_eq@SV31)@SV152)) | (~ (((sup@SV152)@SV31) = SV152))))=$true))),inference(extcnf_or_neg,[status(thm)],[1118])). 18.87/19.13 thf(1191,plain,(![SV154:a,SV33:a,SV306:a,SV272:a]: ((((~ ((less_eq@SV272)@SV306)) | ((less_eq@((sup@SV33)@SV272))@((sup@SV154)@SV306)))=$true) | (((less_eq@SV33)@SV154)=$false))),inference(extcnf_forall_pos,[status(thm)],[1119])). 18.87/19.13 thf(1192,plain,(![SV155:a,SV273:a,SV34:a]: (((~ ((less_eq@SV34)@SV273))=$true) | (((less_eq@SV34)@((inf@SV155)@SV273))=$true) | (((less_eq@SV34)@SV155)=$false))),inference(extcnf_or_pos,[status(thm)],[1120])). 18.87/19.13 thf(1193,plain,(![SV159:a,SV274:a,SV38:a]: (((~ ((less_eq@SV38)@SV274))=$true) | (((less_eq@SV38)@((inf@SV159)@SV274))=$true) | (((less_eq@SV38)@SV159)=$false))),inference(extcnf_or_pos,[status(thm)],[1121])). 18.87/19.13 thf(1194,plain,(![SV161:a,SV40:a]: ((((less_eq@SV40)@SV161)=$false) | ((~ ((~ ((less_eq@SV40)@SV161)) | (~ (((inf@SV161)@SV40) = SV40))))=$true))),inference(extcnf_or_neg,[status(thm)],[1122])). 18.87/19.13 thf(1195,plain,(![SV40:a,SV161:a]: (((((inf@SV161)@SV40) = SV40)=$false) | ((~ ((~ ((less_eq@SV40)@SV161)) | (~ (((inf@SV161)@SV40) = SV40))))=$true))),inference(extcnf_or_neg,[status(thm)],[1122])). 18.87/19.13 thf(1196,plain,(![SV56:a,SV175:a,SV276:a]: (((~ ((less_eq@SV276)@SV175))=$true) | (((less_eq@((sup@SV56)@SV276))@SV175)=$true) | (((less_eq@SV56)@SV175)=$false))),inference(extcnf_or_pos,[status(thm)],[1124])). 18.87/19.13 thf(1197,plain,(![SV177:a,SV58:a]: ((((less_eq@SV58)@SV177)=$false) | ((~ ((~ ((less_eq@SV58)@SV177)) | (~ (((inf@SV58)@SV177) = SV58))))=$true))),inference(extcnf_or_neg,[status(thm)],[1125])). 18.87/19.13 thf(1198,plain,(![SV177:a,SV58:a]: (((((inf@SV58)@SV177) = SV58)=$false) | ((~ ((~ ((less_eq@SV58)@SV177)) | (~ (((inf@SV58)@SV177) = SV58))))=$true))),inference(extcnf_or_neg,[status(thm)],[1125])). 18.87/19.13 thf(1199,plain,(![SV181:a,SV62:a]: ((((less_eq@SV62)@SV181)=$false) | ((~ ((~ ((less_eq@SV62)@SV181)) | (~ (SV181 = ((sup@SV181)@SV62)))))=$true))),inference(extcnf_or_neg,[status(thm)],[1126])). 18.87/19.13 thf(1200,plain,(![SV62:a,SV181:a]: (((SV181 = ((sup@SV181)@SV62))=$false) | ((~ ((~ ((less_eq@SV62)@SV181)) | (~ (SV181 = ((sup@SV181)@SV62)))))=$true))),inference(extcnf_or_neg,[status(thm)],[1126])). 18.87/19.13 thf(1201,plain,(![SV182:a,SV63:a]: ((((less_eq@SV63)@SV182)=$false) | ((~ ((~ ((less_eq@SV63)@SV182)) | (~ (((sup@SV63)@SV182) = SV182))))=$true))),inference(extcnf_or_neg,[status(thm)],[1127])). 18.87/19.13 thf(1202,plain,(![SV182:a,SV63:a]: (((((sup@SV63)@SV182) = SV182)=$false) | ((~ ((~ ((less_eq@SV63)@SV182)) | (~ (((sup@SV63)@SV182) = SV182))))=$true))),inference(extcnf_or_neg,[status(thm)],[1127])). 18.87/19.13 thf(1203,plain,(![SV70:a,SV189:a,SV279:a]: (((~ ((less_eq@SV279)@SV189))=$true) | (((less_eq@((sup@SV70)@SV279))@SV189)=$true) | (((less_eq@SV70)@SV189)=$false))),inference(extcnf_or_pos,[status(thm)],[1130])). 18.87/19.13 thf(1204,plain,(![SV193:a,SV75:a]: ((((less_eq@SV75)@SV193)=$false) | ((~ ((~ ((less_eq@SV75)@SV193)) | (~ (((sup@SV75)@SV193) = SV193))))=$true))),inference(extcnf_or_neg,[status(thm)],[1131])). 18.87/19.13 thf(1205,plain,(![SV193:a,SV75:a]: (((((sup@SV75)@SV193) = SV193)=$false) | ((~ ((~ ((less_eq@SV75)@SV193)) | (~ (((sup@SV75)@SV193) = SV193))))=$true))),inference(extcnf_or_neg,[status(thm)],[1131])). 18.87/19.13 thf(1206,plain,(![SV194:a,SV76:a]: ((((less_eq@SV76)@SV194)=$false) | ((~ ((~ ((less_eq@SV76)@SV194)) | (~ (((inf@SV76)@SV194) = SV76))))=$true))),inference(extcnf_or_neg,[status(thm)],[1132])). 18.87/19.13 thf(1207,plain,(![SV194:a,SV76:a]: (((((inf@SV76)@SV194) = SV76)=$false) | ((~ ((~ ((less_eq@SV76)@SV194)) | (~ (((inf@SV76)@SV194) = SV76))))=$true))),inference(extcnf_or_neg,[status(thm)],[1132])). 18.87/19.13 thf(1208,plain,(![SV196:a,SV280:a,SV78:a]: (((~ ((less_eq@SV78)@SV280))=$true) | (((less_eq@SV78)@((inf@SV196)@SV280))=$true) | (((less_eq@SV78)@SV196)=$false))),inference(extcnf_or_pos,[status(thm)],[1133])). 18.87/19.13 thf(1209,plain,(![SV79:a,SV281:a,SV197:a]: (((~ ((less_eq@SV197)@SV281))=$true) | (((less_eq@SV79)@SV281)=$true) | ((SV79 = SV197)=$false))),inference(extcnf_or_pos,[status(thm)],[1134])). 18.87/19.13 thf(1210,plain,(![SV80:a,SV198:a]: ((((less_eq@SV198)@SV80)=$false) | ((SV198 = SV80)=$true) | (((less_eq@SV80)@SV198)=$false))),inference(extcnf_not_pos,[status(thm)],[1135])). 18.87/19.13 thf(1211,plain,(![SV307:a,SV283:a,SV199:a,SV83:(a>(a>a))]: (((((SV83@SV199)@((SV83@SV283)@SV307)) = ((SV83@SV283)@((SV83@SV199)@SV307)))=$true) | ((abel_semigroup_a@SV83)=$false))),inference(extcnf_forall_pos,[status(thm)],[1137])). 18.87/19.13 thf(1212,plain,(![SV200:(a>(a>a))]: (((semigroup_a@SV200)=$false) | ((~ ((~ (semigroup_a@SV200)) | (~ (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1138])). 18.87/19.13 thf(1213,plain,(![SV200:(a>(a>a))]: (((![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603))))=$false) | ((~ ((~ (semigroup_a@SV200)) | (~ (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1138])). 18.87/19.13 thf(1214,plain,(![SV201:(a>(a>a))]: (((lattic1885654924_set_a@SV201)=$false) | ((~ ((~ (lattic1885654924_set_a@SV201)) | (~ (semilattice_a@SV201))))=$true))),inference(extcnf_or_neg,[status(thm)],[1141])). 18.87/19.13 thf(1215,plain,(![SV201:(a>(a>a))]: (((semilattice_a@SV201)=$false) | ((~ ((~ (lattic1885654924_set_a@SV201)) | (~ (semilattice_a@SV201))))=$true))),inference(extcnf_or_neg,[status(thm)],[1141])). 18.87/19.13 thf(1216,plain,(![SV202:a,SV90:a,SV286:a]: (((~ ((less_eq@SV286)@SV90))=$true) | (((less_eq@SV286)@SV202)=$true) | (((less_eq@SV90)@SV202)=$false))),inference(extcnf_or_pos,[status(thm)],[1142])). 18.87/19.13 thf(1217,plain,(![SV308:a,SV288:a,SV203:a,SV93:(a>(a>a))]: (((((SV93@((SV93@SV203)@SV288))@SV308) = ((SV93@SV203)@((SV93@SV288)@SV308)))=$true) | ((semigroup_a@SV93)=$false))),inference(extcnf_forall_pos,[status(thm)],[1144])). 18.87/19.13 thf(1218,plain,(![SV94:a,SV289:a,SV204:a]: (((~ ((less_eq@SV204)@SV289))=$true) | (((less_eq@SV94)@SV289)=$true) | (((less_eq@SV94)@SV204)=$false))),inference(extcnf_or_pos,[status(thm)],[1145])). 18.87/19.13 thf(1219,plain,(![SV97:a,SV206:a]: ((((less_eq@SV206)@SV97)=$false) | ((SV97 = SV206)=$true) | (((less_eq@SV97)@SV206)=$false))),inference(extcnf_not_pos,[status(thm)],[1146])). 18.87/19.13 thf(1220,plain,(![SV98:a,SV207:a]: ((((less_eq@SV207)@SV98)=$false) | ((SV98 = SV207)=$true) | (((less_eq@SV98)@SV207)=$false))),inference(extcnf_not_pos,[status(thm)],[1147])). 18.87/19.13 thf(1221,plain,(![SV101:a,SV290:a,SV208:a]: (((~ ((less_eq@SV208)@SV290))=$true) | (((less_eq@SV101)@SV290)=$true) | (((less_eq@SV101)@SV208)=$false))),inference(extcnf_or_pos,[status(thm)],[1148])). 18.87/19.13 thf(1222,plain,(![SV102:a,SV291:a,SV209:a]: (((~ (SV209 = SV291))=$true) | (((less_eq@SV102)@SV291)=$true) | (((less_eq@SV102)@SV209)=$false))),inference(extcnf_or_pos,[status(thm)],[1149])). 18.87/19.13 thf(1223,plain,(![SV103:a,SV210:a]: (((~ (((less_eq@SV210)@SV103) | (SV210 = SV103)))=$true) | ((~ ((~ ((less_eq@SV210)@SV103)) | (~ (SV210 = SV103))))=$true) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_or_pos,[status(thm)],[1150])). 18.87/19.13 thf(1224,plain,(![SV237:a,SV105:(a>$o)]: (((~ (~ ((~ (![SY626:a]: ((~ (SV105@SY626)) | ((less_eq@((sK2_Y2@SV237)@SV105))@SY626)))) | (~ (SV105@((sK2_Y2@SV237)@SV105))))))=$false) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_neg,[status(thm)],[1152])). 18.87/19.13 thf(1225,plain,(![SV105:(a>$o),SV237:a]: (((~ (~ (((sK2_Y2@SV237)@SV105) = SV237)))=$false) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_neg,[status(thm)],[1152])). 18.87/19.13 thf(1226,plain,(![SV238:a,SV211:a,SV106:a]: (((((less_eq@SV106)@((inf@SV211)@SV238)) | (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))=$false) | ((~ ((~ ((less_eq@SV106)@((inf@SV211)@SV238))) | (~ (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1153])). 18.87/19.13 thf(1227,plain,(![SV309:a,SV292:a,SV107:a]: ((((~ ((less_eq@((sup@SV107)@SV292))@SV309)) | ((less_eq@SV107)@SV309))=$true))),inference(extcnf_forall_pos,[status(thm)],[1154])). 18.87/19.13 thf(1228,plain,(![SV310:a,SV293:a,SV107:a]: ((((~ ((less_eq@((sup@SV107)@SV293))@SV310)) | ((less_eq@SV293)@SV310))=$true))),inference(extcnf_forall_pos,[status(thm)],[1155])). 18.87/19.13 thf(1229,plain,(![SV212:a,SV108:(a>$o)]: ((((~ (SV108@((sK4_Y2@SV212)@SV108))) | (~ (~ ((less_eq@((sK4_Y2@SV212)@SV108))@SV212))))=$false) | ((![SY611:(a>$o)]: ((~ ((~ (SV108@(((sK3_X2@SY611)@SV212)@SV108))) | (~ (~ ((~ (![SY612:a]: ((~ (SV108@SY612)) | ((less_eq@SY612)@(((sK3_X2@SY611)@SV212)@SV108))))) | (~ (~ (SY611@(((sK3_X2@SY611)@SV212)@SV108))))))))) | (SY611@((greatest_a@less_eq)@SV108))))=$true) | ((SV108@SV212)=$false))),inference(extcnf_not_pos,[status(thm)],[1156])). 18.87/19.13 thf(1230,plain,(![SV213:a,SV109:(a>$o)]: ((((~ (SV109@((sK12_Y2@SV213)@SV109))) | (~ (~ ((less_eq@SV213)@((sK12_Y2@SV213)@SV109)))))=$false) | ((((least_a@less_eq)@SV109) = SV213)=$true) | ((SV109@SV213)=$false))),inference(extcnf_not_pos,[status(thm)],[1157])). 18.87/19.13 thf(1231,plain,(![SV110:(a>(a>a))]: (((~ ((~ ((less_eq@(sK22_SY360@SV110))@(sK21_X2@SV110))) | (~ (~ ((~ ((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110))) | (~ (~ ((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110)))))))))=$true) | ((![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_or_pos,[status(thm)],[1158])). 18.87/19.13 thf(1232,plain,(![SV294:a,SV254:a]: (((~ ((less_eq@SV254)@SV294))=$true) | (((((max_a@less_eq)@SV254)@SV294) = SV294)=$true))),inference(extcnf_or_pos,[status(thm)],[1159])). 18.87/19.13 thf(1233,plain,(![SV295:a,SV255:a]: ((((less_eq@SV255)@SV295)=$true) | (((((max_a@less_eq)@SV255)@SV295) = SV255)=$true))),inference(extcnf_or_pos,[status(thm)],[1160])). 18.87/19.13 thf(1234,plain,(![SV239:a,SV214:a,SV111:a]: (((((less_eq@((sup@SV111)@SV214))@SV239) | (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))=$false) | ((~ ((~ ((less_eq@((sup@SV111)@SV214))@SV239)) | (~ (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1161])). 18.87/19.13 thf(1235,plain,(![SV256:a,SV215:a]: (((~ ((SV215 = SV256) | (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215))))))=$true) | ((~ ((~ (SV215 = SV256)) | (~ (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1162])). 18.87/19.13 thf(1236,plain,(![SV241:a,SV113:(a>$o)]: (((~ (~ ((~ (![SY627:a]: ((~ (SV113@SY627)) | ((less_eq@((sK11_Y2@SV241)@SV113))@SY627)))) | (~ (SV113@((sK11_Y2@SV241)@SV113))))))=$false) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_neg,[status(thm)],[1164])). 18.87/19.13 thf(1237,plain,(![SV113:(a>$o),SV241:a]: (((~ (~ (((sK11_Y2@SV241)@SV113) = SV241)))=$false) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_neg,[status(thm)],[1164])). 18.87/19.13 thf(1238,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((~ (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257)) | ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257)))))))=$true) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1165])). 18.87/19.13 thf(1239,plain,(![SV217:a,SV115:(a>$o)]: ((((~ (SV115@((sK6_Y2@SV217)@SV115))) | (~ (~ ((less_eq@SV217)@((sK6_Y2@SV217)@SV115)))))=$false) | ((![SY618:(a>$o)]: ((~ ((~ (SV115@(((sK5_X2@SY618)@SV217)@SV115))) | (~ (~ ((~ (![SY619:a]: ((~ (SV115@SY619)) | ((less_eq@(((sK5_X2@SY618)@SV217)@SV115))@SY619)))) | (~ (~ (SY618@(((sK5_X2@SY618)@SV217)@SV115))))))))) | (SY618@((least_a@less_eq)@SV115))))=$true) | ((SV115@SV217)=$false))),inference(extcnf_not_pos,[status(thm)],[1167])). 18.87/19.13 thf(1240,plain,(![SV218:a,SV116:(a>$o)]: ((((~ (SV116@((sK13_Y2@SV218)@SV116))) | (~ (~ ((less_eq@((sK13_Y2@SV218)@SV116))@SV218))))=$false) | ((((greatest_a@less_eq)@SV116) = SV218)=$true) | ((SV116@SV218)=$false))),inference(extcnf_not_pos,[status(thm)],[1168])). 18.87/19.13 thf(1241,plain,(![SV258:a,SV219:a]: (((~ ((SV219 = SV258) | (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258))))))=$true) | ((~ ((~ (SV219 = SV258)) | (~ (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1169])). 18.87/19.13 thf(1242,plain,(![SV311:a,SV296:a,SV118:a]: ((((~ ((less_eq@((sup@SV118)@SV296))@SV311)) | ((less_eq@SV118)@SV311))=$true))),inference(extcnf_forall_pos,[status(thm)],[1171])). 18.87/19.13 thf(1243,plain,(![SV312:a,SV297:a,SV118:a]: ((((~ ((less_eq@((sup@SV118)@SV297))@SV312)) | ((less_eq@SV297)@SV312))=$true))),inference(extcnf_forall_pos,[status(thm)],[1172])). 18.87/19.13 thf(1244,plain,(![SV298:a,SV119:a]: (((![SY648:a]: (~ ((less_eq@SV119)@((inf@SV298)@SY648))))=$true) | (((less_eq@SV119)@SV298)=$true))),inference(extcnf_or_pos,[status(thm)],[1173])). 18.87/19.13 thf(1245,plain,(![SV313:a,SV299:a,SV119:a]: ((((~ ((less_eq@SV119)@((inf@SV299)@SV313))) | ((less_eq@SV119)@SV313))=$true))),inference(extcnf_forall_pos,[status(thm)],[1174])). 18.87/19.13 thf(1246,plain,(![SV300:a,SV120:a]: (((![SY650:a]: (~ ((less_eq@SV120)@((inf@SV300)@SY650))))=$true) | (((less_eq@SV120)@SV300)=$true))),inference(extcnf_or_pos,[status(thm)],[1175])). 18.87/19.13 thf(1247,plain,(![SV314:a,SV301:a,SV120:a]: ((((~ ((less_eq@SV120)@((inf@SV301)@SV314))) | ((less_eq@SV120)@SV314))=$true))),inference(extcnf_forall_pos,[status(thm)],[1176])). 18.87/19.13 thf(1248,plain,(![SV244:a,SV220:a,SV121:a]: (((((less_eq@((sup@SV121)@SV220))@SV244) | (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))=$false) | ((~ ((~ ((less_eq@((sup@SV121)@SV220))@SV244)) | (~ (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1177])). 18.87/19.13 thf(1249,plain,(![SV302:a,SV259:a]: ((((less_eq@SV259)@SV302)=$true) | (((((min_a@less_eq)@SV259)@SV302) = SV302)=$true))),inference(extcnf_or_pos,[status(thm)],[1178])). 18.87/19.13 thf(1250,plain,(![SV303:a,SV260:a]: (((~ ((less_eq@SV260)@SV303))=$true) | (((((min_a@less_eq)@SV260)@SV303) = SV260)=$true))),inference(extcnf_or_pos,[status(thm)],[1179])). 18.87/19.13 thf(1251,plain,(![SV261:a,SV221:a]: (((~ ((SV221 = SV261) | (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221))))))=$true) | ((~ ((~ (SV221 = SV261)) | (~ (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1180])). 18.87/19.13 thf(1252,plain,(![SV123:(a>(a>a))]: (((~ ((~ ((less_eq@(sK14_X2@SV123))@(sK15_SY355@SV123))) | (~ (~ ((~ ((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123))) | (~ (~ ((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123))))))))))=$true) | ((![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_or_pos,[status(thm)],[1182])). 18.87/19.13 thf(1253,plain,(![SV246:a,SV222:a,SV124:a]: (((((less_eq@SV124)@((inf@SV222)@SV246)) | (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))=$false) | ((~ ((~ ((less_eq@SV124)@((inf@SV222)@SV246))) | (~ (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1183])). 18.87/19.13 thf(1254,plain,(![SV128:a,SV6:a,SV304:a,SV265:a]: (((~ ((less_eq@SV265)@SV304))=$true) | (((less_eq@((inf@SV6)@SV265))@((inf@SV128)@SV304))=$true) | (((less_eq@SV6)@SV128)=$false))),inference(extcnf_or_pos,[status(thm)],[1184])). 18.87/19.13 thf(1255,plain,(![SV12:a,SV134:a,SV268:a]: ((((less_eq@SV268)@SV134)=$false) | (((less_eq@((sup@SV12)@SV268))@SV134)=$true) | (((less_eq@SV12)@SV134)=$false))),inference(extcnf_not_pos,[status(thm)],[1185])). 18.87/19.13 thf(1256,plain,(![SV138:a,SV16:a,SV305:a,SV269:a]: (((~ ((less_eq@SV269)@SV305))=$true) | (((less_eq@((sup@SV16)@SV269))@((sup@SV138)@SV305))=$true) | (((less_eq@SV16)@SV138)=$false))),inference(extcnf_or_pos,[status(thm)],[1186])). 18.87/19.13 thf(1257,plain,(![SV143:a,SV21:a]: ((((~ ((less_eq@SV21)@SV143)) | (~ (SV21 = ((inf@SV21)@SV143))))=$false) | (((less_eq@SV21)@SV143)=$false))),inference(extcnf_not_pos,[status(thm)],[1187])). 18.87/19.13 thf(1258,plain,(![SV143:a,SV21:a]: ((((~ ((less_eq@SV21)@SV143)) | (~ (SV21 = ((inf@SV21)@SV143))))=$false) | ((SV21 = ((inf@SV21)@SV143))=$false))),inference(extcnf_not_pos,[status(thm)],[1188])). 18.87/19.13 thf(1259,plain,(![SV152:a,SV31:a]: ((((~ ((less_eq@SV31)@SV152)) | (~ (((sup@SV152)@SV31) = SV152)))=$false) | (((less_eq@SV31)@SV152)=$false))),inference(extcnf_not_pos,[status(thm)],[1189])). 18.87/19.13 thf(1260,plain,(![SV152:a,SV31:a]: ((((~ ((less_eq@SV31)@SV152)) | (~ (((sup@SV152)@SV31) = SV152)))=$false) | ((((sup@SV152)@SV31) = SV152)=$false))),inference(extcnf_not_pos,[status(thm)],[1190])). 18.87/19.13 thf(1261,plain,(![SV154:a,SV33:a,SV306:a,SV272:a]: (((~ ((less_eq@SV272)@SV306))=$true) | (((less_eq@((sup@SV33)@SV272))@((sup@SV154)@SV306))=$true) | (((less_eq@SV33)@SV154)=$false))),inference(extcnf_or_pos,[status(thm)],[1191])). 18.87/19.13 thf(1262,plain,(![SV155:a,SV273:a,SV34:a]: ((((less_eq@SV34)@SV273)=$false) | (((less_eq@SV34)@((inf@SV155)@SV273))=$true) | (((less_eq@SV34)@SV155)=$false))),inference(extcnf_not_pos,[status(thm)],[1192])). 18.87/19.13 thf(1263,plain,(![SV159:a,SV274:a,SV38:a]: ((((less_eq@SV38)@SV274)=$false) | (((less_eq@SV38)@((inf@SV159)@SV274))=$true) | (((less_eq@SV38)@SV159)=$false))),inference(extcnf_not_pos,[status(thm)],[1193])). 18.87/19.13 thf(1264,plain,(![SV161:a,SV40:a]: ((((~ ((less_eq@SV40)@SV161)) | (~ (((inf@SV161)@SV40) = SV40)))=$false) | (((less_eq@SV40)@SV161)=$false))),inference(extcnf_not_pos,[status(thm)],[1194])). 18.87/19.13 thf(1265,plain,(![SV161:a,SV40:a]: ((((~ ((less_eq@SV40)@SV161)) | (~ (((inf@SV161)@SV40) = SV40)))=$false) | ((((inf@SV161)@SV40) = SV40)=$false))),inference(extcnf_not_pos,[status(thm)],[1195])). 18.87/19.13 thf(1266,plain,(![SV56:a,SV175:a,SV276:a]: ((((less_eq@SV276)@SV175)=$false) | (((less_eq@((sup@SV56)@SV276))@SV175)=$true) | (((less_eq@SV56)@SV175)=$false))),inference(extcnf_not_pos,[status(thm)],[1196])). 18.87/19.13 thf(1267,plain,(![SV177:a,SV58:a]: ((((~ ((less_eq@SV58)@SV177)) | (~ (((inf@SV58)@SV177) = SV58)))=$false) | (((less_eq@SV58)@SV177)=$false))),inference(extcnf_not_pos,[status(thm)],[1197])). 18.87/19.13 thf(1268,plain,(![SV177:a,SV58:a]: ((((~ ((less_eq@SV58)@SV177)) | (~ (((inf@SV58)@SV177) = SV58)))=$false) | ((((inf@SV58)@SV177) = SV58)=$false))),inference(extcnf_not_pos,[status(thm)],[1198])). 18.87/19.13 thf(1269,plain,(![SV181:a,SV62:a]: ((((~ ((less_eq@SV62)@SV181)) | (~ (SV181 = ((sup@SV181)@SV62))))=$false) | (((less_eq@SV62)@SV181)=$false))),inference(extcnf_not_pos,[status(thm)],[1199])). 18.87/19.13 thf(1270,plain,(![SV181:a,SV62:a]: ((((~ ((less_eq@SV62)@SV181)) | (~ (SV181 = ((sup@SV181)@SV62))))=$false) | ((SV181 = ((sup@SV181)@SV62))=$false))),inference(extcnf_not_pos,[status(thm)],[1200])). 18.87/19.13 thf(1271,plain,(![SV182:a,SV63:a]: ((((~ ((less_eq@SV63)@SV182)) | (~ (((sup@SV63)@SV182) = SV182)))=$false) | (((less_eq@SV63)@SV182)=$false))),inference(extcnf_not_pos,[status(thm)],[1201])). 18.87/19.13 thf(1272,plain,(![SV182:a,SV63:a]: ((((~ ((less_eq@SV63)@SV182)) | (~ (((sup@SV63)@SV182) = SV182)))=$false) | ((((sup@SV63)@SV182) = SV182)=$false))),inference(extcnf_not_pos,[status(thm)],[1202])). 18.87/19.13 thf(1273,plain,(![SV70:a,SV189:a,SV279:a]: ((((less_eq@SV279)@SV189)=$false) | (((less_eq@((sup@SV70)@SV279))@SV189)=$true) | (((less_eq@SV70)@SV189)=$false))),inference(extcnf_not_pos,[status(thm)],[1203])). 18.87/19.13 thf(1274,plain,(![SV193:a,SV75:a]: ((((~ ((less_eq@SV75)@SV193)) | (~ (((sup@SV75)@SV193) = SV193)))=$false) | (((less_eq@SV75)@SV193)=$false))),inference(extcnf_not_pos,[status(thm)],[1204])). 18.87/19.13 thf(1275,plain,(![SV193:a,SV75:a]: ((((~ ((less_eq@SV75)@SV193)) | (~ (((sup@SV75)@SV193) = SV193)))=$false) | ((((sup@SV75)@SV193) = SV193)=$false))),inference(extcnf_not_pos,[status(thm)],[1205])). 18.87/19.13 thf(1276,plain,(![SV194:a,SV76:a]: ((((~ ((less_eq@SV76)@SV194)) | (~ (((inf@SV76)@SV194) = SV76)))=$false) | (((less_eq@SV76)@SV194)=$false))),inference(extcnf_not_pos,[status(thm)],[1206])). 18.87/19.13 thf(1277,plain,(![SV194:a,SV76:a]: ((((~ ((less_eq@SV76)@SV194)) | (~ (((inf@SV76)@SV194) = SV76)))=$false) | ((((inf@SV76)@SV194) = SV76)=$false))),inference(extcnf_not_pos,[status(thm)],[1207])). 18.87/19.13 thf(1278,plain,(![SV196:a,SV280:a,SV78:a]: ((((less_eq@SV78)@SV280)=$false) | (((less_eq@SV78)@((inf@SV196)@SV280))=$true) | (((less_eq@SV78)@SV196)=$false))),inference(extcnf_not_pos,[status(thm)],[1208])). 18.87/19.13 thf(1279,plain,(![SV79:a,SV281:a,SV197:a]: ((((less_eq@SV197)@SV281)=$false) | (((less_eq@SV79)@SV281)=$true) | ((SV79 = SV197)=$false))),inference(extcnf_not_pos,[status(thm)],[1209])). 18.87/19.13 thf(1280,plain,(![SV200:(a>(a>a))]: ((((~ (semigroup_a@SV200)) | (~ (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603))))))=$false) | ((semigroup_a@SV200)=$false))),inference(extcnf_not_pos,[status(thm)],[1212])). 18.87/19.13 thf(1281,plain,(![SV200:(a>(a>a))]: (((![SY652:a,SY653:a]: (((SV200@((SV200@(sK34_SY601@SV200))@SY652))@SY653) = ((SV200@(sK34_SY601@SV200))@((SV200@SY652)@SY653))))=$false) | ((~ ((~ (semigroup_a@SV200)) | (~ (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603)))))))=$true))),inference(extcnf_forall_neg,[status(esa)],[1213])). 18.87/19.13 thf(1282,plain,(![SV201:(a>(a>a))]: ((((~ (lattic1885654924_set_a@SV201)) | (~ (semilattice_a@SV201)))=$false) | ((lattic1885654924_set_a@SV201)=$false))),inference(extcnf_not_pos,[status(thm)],[1214])). 18.87/19.13 thf(1283,plain,(![SV201:(a>(a>a))]: ((((~ (lattic1885654924_set_a@SV201)) | (~ (semilattice_a@SV201)))=$false) | ((semilattice_a@SV201)=$false))),inference(extcnf_not_pos,[status(thm)],[1215])). 18.87/19.13 thf(1284,plain,(![SV202:a,SV90:a,SV286:a]: ((((less_eq@SV286)@SV90)=$false) | (((less_eq@SV286)@SV202)=$true) | (((less_eq@SV90)@SV202)=$false))),inference(extcnf_not_pos,[status(thm)],[1216])). 18.87/19.13 thf(1285,plain,(![SV94:a,SV289:a,SV204:a]: ((((less_eq@SV204)@SV289)=$false) | (((less_eq@SV94)@SV289)=$true) | (((less_eq@SV94)@SV204)=$false))),inference(extcnf_not_pos,[status(thm)],[1218])). 18.87/19.13 thf(1286,plain,(![SV101:a,SV290:a,SV208:a]: ((((less_eq@SV208)@SV290)=$false) | (((less_eq@SV101)@SV290)=$true) | (((less_eq@SV101)@SV208)=$false))),inference(extcnf_not_pos,[status(thm)],[1221])). 18.87/19.13 thf(1287,plain,(![SV102:a,SV291:a,SV209:a]: (((SV209 = SV291)=$false) | (((less_eq@SV102)@SV291)=$true) | (((less_eq@SV102)@SV209)=$false))),inference(extcnf_not_pos,[status(thm)],[1222])). 18.87/19.13 thf(1288,plain,(![SV103:a,SV210:a]: (((((less_eq@SV210)@SV103) | (SV210 = SV103))=$false) | ((~ ((~ ((less_eq@SV210)@SV103)) | (~ (SV210 = SV103))))=$true) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_not_pos,[status(thm)],[1223])). 18.87/19.13 thf(1289,plain,(![SV237:a,SV105:(a>$o)]: (((~ ((~ (![SY626:a]: ((~ (SV105@SY626)) | ((less_eq@((sK2_Y2@SV237)@SV105))@SY626)))) | (~ (SV105@((sK2_Y2@SV237)@SV105)))))=$true) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_neg,[status(thm)],[1224])). 18.87/19.13 thf(1290,plain,(![SV105:(a>$o),SV237:a]: (((~ (((sK2_Y2@SV237)@SV105) = SV237))=$true) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_neg,[status(thm)],[1225])). 18.87/19.13 thf(1291,plain,(![SV238:a,SV211:a,SV106:a]: ((((less_eq@SV106)@((inf@SV211)@SV238))=$false) | ((~ ((~ ((less_eq@SV106)@((inf@SV211)@SV238))) | (~ (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1226])). 18.87/19.13 thf(1292,plain,(![SV238:a,SV211:a,SV106:a]: (((~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238))))=$false) | ((~ ((~ ((less_eq@SV106)@((inf@SV211)@SV238))) | (~ (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1226])). 18.87/19.13 thf(1293,plain,(![SV309:a,SV292:a,SV107:a]: (((~ ((less_eq@((sup@SV107)@SV292))@SV309))=$true) | (((less_eq@SV107)@SV309)=$true))),inference(extcnf_or_pos,[status(thm)],[1227])). 18.87/19.13 thf(1294,plain,(![SV310:a,SV293:a,SV107:a]: (((~ ((less_eq@((sup@SV107)@SV293))@SV310))=$true) | (((less_eq@SV293)@SV310)=$true))),inference(extcnf_or_pos,[status(thm)],[1228])). 18.87/19.13 thf(1295,plain,(![SV212:a,SV108:(a>$o)]: (((~ (SV108@((sK4_Y2@SV212)@SV108)))=$false) | ((![SY611:(a>$o)]: ((~ ((~ (SV108@(((sK3_X2@SY611)@SV212)@SV108))) | (~ (~ ((~ (![SY612:a]: ((~ (SV108@SY612)) | ((less_eq@SY612)@(((sK3_X2@SY611)@SV212)@SV108))))) | (~ (~ (SY611@(((sK3_X2@SY611)@SV212)@SV108))))))))) | (SY611@((greatest_a@less_eq)@SV108))))=$true) | ((SV108@SV212)=$false))),inference(extcnf_or_neg,[status(thm)],[1229])). 18.87/19.13 thf(1296,plain,(![SV108:(a>$o),SV212:a]: (((~ (~ ((less_eq@((sK4_Y2@SV212)@SV108))@SV212)))=$false) | ((![SY611:(a>$o)]: ((~ ((~ (SV108@(((sK3_X2@SY611)@SV212)@SV108))) | (~ (~ ((~ (![SY612:a]: ((~ (SV108@SY612)) | ((less_eq@SY612)@(((sK3_X2@SY611)@SV212)@SV108))))) | (~ (~ (SY611@(((sK3_X2@SY611)@SV212)@SV108))))))))) | (SY611@((greatest_a@less_eq)@SV108))))=$true) | ((SV108@SV212)=$false))),inference(extcnf_or_neg,[status(thm)],[1229])). 18.87/19.13 thf(1297,plain,(![SV213:a,SV109:(a>$o)]: (((~ (SV109@((sK12_Y2@SV213)@SV109)))=$false) | ((((least_a@less_eq)@SV109) = SV213)=$true) | ((SV109@SV213)=$false))),inference(extcnf_or_neg,[status(thm)],[1230])). 18.87/19.13 thf(1298,plain,(![SV109:(a>$o),SV213:a]: (((~ (~ ((less_eq@SV213)@((sK12_Y2@SV213)@SV109))))=$false) | ((((least_a@less_eq)@SV109) = SV213)=$true) | ((SV109@SV213)=$false))),inference(extcnf_or_neg,[status(thm)],[1230])). 18.87/19.13 thf(1299,plain,(![SV110:(a>(a>a))]: ((((~ ((less_eq@(sK22_SY360@SV110))@(sK21_X2@SV110))) | (~ (~ ((~ ((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110))) | (~ (~ ((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110))))))))=$false) | ((![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_not_pos,[status(thm)],[1231])). 18.87/19.13 thf(1300,plain,(![SV294:a,SV254:a]: ((((less_eq@SV254)@SV294)=$false) | (((((max_a@less_eq)@SV254)@SV294) = SV294)=$true))),inference(extcnf_not_pos,[status(thm)],[1232])). 18.87/19.13 thf(1301,plain,(![SV239:a,SV214:a,SV111:a]: ((((less_eq@((sup@SV111)@SV214))@SV239)=$false) | ((~ ((~ ((less_eq@((sup@SV111)@SV214))@SV239)) | (~ (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1234])). 18.87/19.13 thf(1302,plain,(![SV111:a,SV239:a,SV214:a]: (((~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239))))=$false) | ((~ ((~ ((less_eq@((sup@SV111)@SV214))@SV239)) | (~ (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1234])). 18.87/19.13 thf(1303,plain,(![SV256:a,SV215:a]: ((((SV215 = SV256) | (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))=$false) | ((~ ((~ (SV215 = SV256)) | (~ (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1235])). 18.87/19.13 thf(1304,plain,(![SV241:a,SV113:(a>$o)]: (((~ ((~ (![SY627:a]: ((~ (SV113@SY627)) | ((less_eq@((sK11_Y2@SV241)@SV113))@SY627)))) | (~ (SV113@((sK11_Y2@SV241)@SV113)))))=$true) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_neg,[status(thm)],[1236])). 18.87/19.13 thf(1305,plain,(![SV113:(a>$o),SV241:a]: (((~ (((sK11_Y2@SV241)@SV113) = SV241))=$true) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_neg,[status(thm)],[1237])). 18.87/19.13 thf(1306,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257)) | ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))=$false) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1238])). 18.87/19.13 thf(1307,plain,(![SV217:a,SV115:(a>$o)]: (((~ (SV115@((sK6_Y2@SV217)@SV115)))=$false) | ((![SY618:(a>$o)]: ((~ ((~ (SV115@(((sK5_X2@SY618)@SV217)@SV115))) | (~ (~ ((~ (![SY619:a]: ((~ (SV115@SY619)) | ((less_eq@(((sK5_X2@SY618)@SV217)@SV115))@SY619)))) | (~ (~ (SY618@(((sK5_X2@SY618)@SV217)@SV115))))))))) | (SY618@((least_a@less_eq)@SV115))))=$true) | ((SV115@SV217)=$false))),inference(extcnf_or_neg,[status(thm)],[1239])). 18.87/19.13 thf(1308,plain,(![SV115:(a>$o),SV217:a]: (((~ (~ ((less_eq@SV217)@((sK6_Y2@SV217)@SV115))))=$false) | ((![SY618:(a>$o)]: ((~ ((~ (SV115@(((sK5_X2@SY618)@SV217)@SV115))) | (~ (~ ((~ (![SY619:a]: ((~ (SV115@SY619)) | ((less_eq@(((sK5_X2@SY618)@SV217)@SV115))@SY619)))) | (~ (~ (SY618@(((sK5_X2@SY618)@SV217)@SV115))))))))) | (SY618@((least_a@less_eq)@SV115))))=$true) | ((SV115@SV217)=$false))),inference(extcnf_or_neg,[status(thm)],[1239])). 18.87/19.13 thf(1309,plain,(![SV218:a,SV116:(a>$o)]: (((~ (SV116@((sK13_Y2@SV218)@SV116)))=$false) | ((((greatest_a@less_eq)@SV116) = SV218)=$true) | ((SV116@SV218)=$false))),inference(extcnf_or_neg,[status(thm)],[1240])). 18.87/19.13 thf(1310,plain,(![SV116:(a>$o),SV218:a]: (((~ (~ ((less_eq@((sK13_Y2@SV218)@SV116))@SV218)))=$false) | ((((greatest_a@less_eq)@SV116) = SV218)=$true) | ((SV116@SV218)=$false))),inference(extcnf_or_neg,[status(thm)],[1240])). 18.87/19.13 thf(1311,plain,(![SV258:a,SV219:a]: ((((SV219 = SV258) | (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))=$false) | ((~ ((~ (SV219 = SV258)) | (~ (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1241])). 18.87/19.13 thf(1312,plain,(![SV311:a,SV296:a,SV118:a]: (((~ ((less_eq@((sup@SV118)@SV296))@SV311))=$true) | (((less_eq@SV118)@SV311)=$true))),inference(extcnf_or_pos,[status(thm)],[1242])). 18.87/19.13 thf(1313,plain,(![SV312:a,SV297:a,SV118:a]: (((~ ((less_eq@((sup@SV118)@SV297))@SV312))=$true) | (((less_eq@SV297)@SV312)=$true))),inference(extcnf_or_pos,[status(thm)],[1243])). 18.87/19.13 thf(1314,plain,(![SV315:a,SV298:a,SV119:a]: (((~ ((less_eq@SV119)@((inf@SV298)@SV315)))=$true) | (((less_eq@SV119)@SV298)=$true))),inference(extcnf_forall_pos,[status(thm)],[1244])). 18.87/19.13 thf(1315,plain,(![SV313:a,SV299:a,SV119:a]: (((~ ((less_eq@SV119)@((inf@SV299)@SV313)))=$true) | (((less_eq@SV119)@SV313)=$true))),inference(extcnf_or_pos,[status(thm)],[1245])). 18.87/19.13 thf(1316,plain,(![SV316:a,SV300:a,SV120:a]: (((~ ((less_eq@SV120)@((inf@SV300)@SV316)))=$true) | (((less_eq@SV120)@SV300)=$true))),inference(extcnf_forall_pos,[status(thm)],[1246])). 18.87/19.13 thf(1317,plain,(![SV314:a,SV301:a,SV120:a]: (((~ ((less_eq@SV120)@((inf@SV301)@SV314)))=$true) | (((less_eq@SV120)@SV314)=$true))),inference(extcnf_or_pos,[status(thm)],[1247])). 18.87/19.13 thf(1318,plain,(![SV244:a,SV220:a,SV121:a]: ((((less_eq@((sup@SV121)@SV220))@SV244)=$false) | ((~ ((~ ((less_eq@((sup@SV121)@SV220))@SV244)) | (~ (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1248])). 18.87/19.13 thf(1319,plain,(![SV121:a,SV244:a,SV220:a]: (((~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244))))=$false) | ((~ ((~ ((less_eq@((sup@SV121)@SV220))@SV244)) | (~ (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1248])). 18.87/19.13 thf(1320,plain,(![SV303:a,SV260:a]: ((((less_eq@SV260)@SV303)=$false) | (((((min_a@less_eq)@SV260)@SV303) = SV260)=$true))),inference(extcnf_not_pos,[status(thm)],[1250])). 18.87/19.13 thf(1321,plain,(![SV261:a,SV221:a]: ((((SV221 = SV261) | (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))=$false) | ((~ ((~ (SV221 = SV261)) | (~ (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1251])). 18.87/19.13 thf(1322,plain,(![SV123:(a>(a>a))]: ((((~ ((less_eq@(sK14_X2@SV123))@(sK15_SY355@SV123))) | (~ (~ ((~ ((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123))) | (~ (~ ((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123)))))))))=$false) | ((![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_not_pos,[status(thm)],[1252])). 18.87/19.13 thf(1323,plain,(![SV246:a,SV222:a,SV124:a]: ((((less_eq@SV124)@((inf@SV222)@SV246))=$false) | ((~ ((~ ((less_eq@SV124)@((inf@SV222)@SV246))) | (~ (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1253])). 18.87/19.13 thf(1324,plain,(![SV222:a,SV246:a,SV124:a]: (((~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222))))=$false) | ((~ ((~ ((less_eq@SV124)@((inf@SV222)@SV246))) | (~ (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1253])). 18.87/19.13 thf(1325,plain,(![SV128:a,SV6:a,SV304:a,SV265:a]: ((((less_eq@SV265)@SV304)=$false) | (((less_eq@((inf@SV6)@SV265))@((inf@SV128)@SV304))=$true) | (((less_eq@SV6)@SV128)=$false))),inference(extcnf_not_pos,[status(thm)],[1254])). 18.87/19.13 thf(1326,plain,(![SV138:a,SV16:a,SV305:a,SV269:a]: ((((less_eq@SV269)@SV305)=$false) | (((less_eq@((sup@SV16)@SV269))@((sup@SV138)@SV305))=$true) | (((less_eq@SV16)@SV138)=$false))),inference(extcnf_not_pos,[status(thm)],[1256])). 18.87/19.13 thf(1327,plain,(![SV143:a,SV21:a]: (((~ ((less_eq@SV21)@SV143))=$false) | (((less_eq@SV21)@SV143)=$false))),inference(extcnf_or_neg,[status(thm)],[1257])). 18.87/19.13 thf(1328,plain,(![SV143:a,SV21:a]: (((~ (SV21 = ((inf@SV21)@SV143)))=$false) | (((less_eq@SV21)@SV143)=$false))),inference(extcnf_or_neg,[status(thm)],[1257])). 18.87/19.13 thf(1329,plain,(![SV143:a,SV21:a]: (((~ ((less_eq@SV21)@SV143))=$false) | ((SV21 = ((inf@SV21)@SV143))=$false))),inference(extcnf_or_neg,[status(thm)],[1258])). 18.87/19.13 thf(1330,plain,(![SV143:a,SV21:a]: (((~ (SV21 = ((inf@SV21)@SV143)))=$false) | ((SV21 = ((inf@SV21)@SV143))=$false))),inference(extcnf_or_neg,[status(thm)],[1258])). 18.87/19.13 thf(1331,plain,(![SV152:a,SV31:a]: (((~ ((less_eq@SV31)@SV152))=$false) | (((less_eq@SV31)@SV152)=$false))),inference(extcnf_or_neg,[status(thm)],[1259])). 18.87/19.13 thf(1332,plain,(![SV31:a,SV152:a]: (((~ (((sup@SV152)@SV31) = SV152))=$false) | (((less_eq@SV31)@SV152)=$false))),inference(extcnf_or_neg,[status(thm)],[1259])). 18.87/19.13 thf(1333,plain,(![SV152:a,SV31:a]: (((~ ((less_eq@SV31)@SV152))=$false) | ((((sup@SV152)@SV31) = SV152)=$false))),inference(extcnf_or_neg,[status(thm)],[1260])). 18.87/19.13 thf(1334,plain,(![SV31:a,SV152:a]: (((~ (((sup@SV152)@SV31) = SV152))=$false) | ((((sup@SV152)@SV31) = SV152)=$false))),inference(extcnf_or_neg,[status(thm)],[1260])). 18.87/19.13 thf(1335,plain,(![SV154:a,SV33:a,SV306:a,SV272:a]: ((((less_eq@SV272)@SV306)=$false) | (((less_eq@((sup@SV33)@SV272))@((sup@SV154)@SV306))=$true) | (((less_eq@SV33)@SV154)=$false))),inference(extcnf_not_pos,[status(thm)],[1261])). 18.87/19.13 thf(1336,plain,(![SV161:a,SV40:a]: (((~ ((less_eq@SV40)@SV161))=$false) | (((less_eq@SV40)@SV161)=$false))),inference(extcnf_or_neg,[status(thm)],[1264])). 18.87/19.13 thf(1337,plain,(![SV40:a,SV161:a]: (((~ (((inf@SV161)@SV40) = SV40))=$false) | (((less_eq@SV40)@SV161)=$false))),inference(extcnf_or_neg,[status(thm)],[1264])). 18.87/19.13 thf(1338,plain,(![SV161:a,SV40:a]: (((~ ((less_eq@SV40)@SV161))=$false) | ((((inf@SV161)@SV40) = SV40)=$false))),inference(extcnf_or_neg,[status(thm)],[1265])). 18.87/19.13 thf(1339,plain,(![SV40:a,SV161:a]: (((~ (((inf@SV161)@SV40) = SV40))=$false) | ((((inf@SV161)@SV40) = SV40)=$false))),inference(extcnf_or_neg,[status(thm)],[1265])). 18.87/19.13 thf(1340,plain,(![SV177:a,SV58:a]: (((~ ((less_eq@SV58)@SV177))=$false) | (((less_eq@SV58)@SV177)=$false))),inference(extcnf_or_neg,[status(thm)],[1267])). 18.87/19.13 thf(1341,plain,(![SV177:a,SV58:a]: (((~ (((inf@SV58)@SV177) = SV58))=$false) | (((less_eq@SV58)@SV177)=$false))),inference(extcnf_or_neg,[status(thm)],[1267])). 18.87/19.13 thf(1342,plain,(![SV177:a,SV58:a]: (((~ ((less_eq@SV58)@SV177))=$false) | ((((inf@SV58)@SV177) = SV58)=$false))),inference(extcnf_or_neg,[status(thm)],[1268])). 18.87/19.13 thf(1343,plain,(![SV177:a,SV58:a]: (((~ (((inf@SV58)@SV177) = SV58))=$false) | ((((inf@SV58)@SV177) = SV58)=$false))),inference(extcnf_or_neg,[status(thm)],[1268])). 18.87/19.13 thf(1344,plain,(![SV181:a,SV62:a]: (((~ ((less_eq@SV62)@SV181))=$false) | (((less_eq@SV62)@SV181)=$false))),inference(extcnf_or_neg,[status(thm)],[1269])). 18.87/19.13 thf(1345,plain,(![SV62:a,SV181:a]: (((~ (SV181 = ((sup@SV181)@SV62)))=$false) | (((less_eq@SV62)@SV181)=$false))),inference(extcnf_or_neg,[status(thm)],[1269])). 18.87/19.13 thf(1346,plain,(![SV181:a,SV62:a]: (((~ ((less_eq@SV62)@SV181))=$false) | ((SV181 = ((sup@SV181)@SV62))=$false))),inference(extcnf_or_neg,[status(thm)],[1270])). 18.87/19.13 thf(1347,plain,(![SV62:a,SV181:a]: (((~ (SV181 = ((sup@SV181)@SV62)))=$false) | ((SV181 = ((sup@SV181)@SV62))=$false))),inference(extcnf_or_neg,[status(thm)],[1270])). 18.87/19.13 thf(1348,plain,(![SV182:a,SV63:a]: (((~ ((less_eq@SV63)@SV182))=$false) | (((less_eq@SV63)@SV182)=$false))),inference(extcnf_or_neg,[status(thm)],[1271])). 18.87/19.13 thf(1349,plain,(![SV182:a,SV63:a]: (((~ (((sup@SV63)@SV182) = SV182))=$false) | (((less_eq@SV63)@SV182)=$false))),inference(extcnf_or_neg,[status(thm)],[1271])). 18.87/19.13 thf(1350,plain,(![SV182:a,SV63:a]: (((~ ((less_eq@SV63)@SV182))=$false) | ((((sup@SV63)@SV182) = SV182)=$false))),inference(extcnf_or_neg,[status(thm)],[1272])). 18.87/19.13 thf(1351,plain,(![SV182:a,SV63:a]: (((~ (((sup@SV63)@SV182) = SV182))=$false) | ((((sup@SV63)@SV182) = SV182)=$false))),inference(extcnf_or_neg,[status(thm)],[1272])). 18.87/19.13 thf(1352,plain,(![SV193:a,SV75:a]: (((~ ((less_eq@SV75)@SV193))=$false) | (((less_eq@SV75)@SV193)=$false))),inference(extcnf_or_neg,[status(thm)],[1274])). 18.87/19.13 thf(1353,plain,(![SV193:a,SV75:a]: (((~ (((sup@SV75)@SV193) = SV193))=$false) | (((less_eq@SV75)@SV193)=$false))),inference(extcnf_or_neg,[status(thm)],[1274])). 18.87/19.13 thf(1354,plain,(![SV193:a,SV75:a]: (((~ ((less_eq@SV75)@SV193))=$false) | ((((sup@SV75)@SV193) = SV193)=$false))),inference(extcnf_or_neg,[status(thm)],[1275])). 18.87/19.13 thf(1355,plain,(![SV193:a,SV75:a]: (((~ (((sup@SV75)@SV193) = SV193))=$false) | ((((sup@SV75)@SV193) = SV193)=$false))),inference(extcnf_or_neg,[status(thm)],[1275])). 18.87/19.13 thf(1356,plain,(![SV194:a,SV76:a]: (((~ ((less_eq@SV76)@SV194))=$false) | (((less_eq@SV76)@SV194)=$false))),inference(extcnf_or_neg,[status(thm)],[1276])). 18.87/19.13 thf(1357,plain,(![SV194:a,SV76:a]: (((~ (((inf@SV76)@SV194) = SV76))=$false) | (((less_eq@SV76)@SV194)=$false))),inference(extcnf_or_neg,[status(thm)],[1276])). 18.87/19.13 thf(1358,plain,(![SV194:a,SV76:a]: (((~ ((less_eq@SV76)@SV194))=$false) | ((((inf@SV76)@SV194) = SV76)=$false))),inference(extcnf_or_neg,[status(thm)],[1277])). 18.87/19.13 thf(1359,plain,(![SV194:a,SV76:a]: (((~ (((inf@SV76)@SV194) = SV76))=$false) | ((((inf@SV76)@SV194) = SV76)=$false))),inference(extcnf_or_neg,[status(thm)],[1277])). 18.87/19.13 thf(1360,plain,(![SV200:(a>(a>a))]: (((~ (semigroup_a@SV200))=$false) | ((semigroup_a@SV200)=$false))),inference(extcnf_or_neg,[status(thm)],[1280])). 18.87/19.13 thf(1361,plain,(![SV200:(a>(a>a))]: (((~ (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603)))))=$false) | ((semigroup_a@SV200)=$false))),inference(extcnf_or_neg,[status(thm)],[1280])). 18.87/19.13 thf(1362,plain,(![SV200:(a>(a>a))]: (((![SY654:a]: (((SV200@((SV200@(sK34_SY601@SV200))@(sK35_SY652@SV200)))@SY654) = ((SV200@(sK34_SY601@SV200))@((SV200@(sK35_SY652@SV200))@SY654))))=$false) | ((~ ((~ (semigroup_a@SV200)) | (~ (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603)))))))=$true))),inference(extcnf_forall_neg,[status(esa)],[1281])). 18.87/19.13 thf(1363,plain,(![SV201:(a>(a>a))]: (((~ (lattic1885654924_set_a@SV201))=$false) | ((lattic1885654924_set_a@SV201)=$false))),inference(extcnf_or_neg,[status(thm)],[1282])). 18.87/19.13 thf(1364,plain,(![SV201:(a>(a>a))]: (((~ (semilattice_a@SV201))=$false) | ((lattic1885654924_set_a@SV201)=$false))),inference(extcnf_or_neg,[status(thm)],[1282])). 18.87/19.13 thf(1365,plain,(![SV201:(a>(a>a))]: (((~ (lattic1885654924_set_a@SV201))=$false) | ((semilattice_a@SV201)=$false))),inference(extcnf_or_neg,[status(thm)],[1283])). 18.87/19.13 thf(1366,plain,(![SV201:(a>(a>a))]: (((~ (semilattice_a@SV201))=$false) | ((semilattice_a@SV201)=$false))),inference(extcnf_or_neg,[status(thm)],[1283])). 18.87/19.13 thf(1367,plain,(![SV103:a,SV210:a]: ((((less_eq@SV210)@SV103)=$false) | ((~ ((~ ((less_eq@SV210)@SV103)) | (~ (SV210 = SV103))))=$true) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_or_neg,[status(thm)],[1288])). 18.87/19.13 thf(1368,plain,(![SV103:a,SV210:a]: (((SV210 = SV103)=$false) | ((~ ((~ ((less_eq@SV210)@SV103)) | (~ (SV210 = SV103))))=$true) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_or_neg,[status(thm)],[1288])). 18.87/19.13 thf(1369,plain,(![SV237:a,SV105:(a>$o)]: ((((~ (![SY626:a]: ((~ (SV105@SY626)) | ((less_eq@((sK2_Y2@SV237)@SV105))@SY626)))) | (~ (SV105@((sK2_Y2@SV237)@SV105))))=$false) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1289])). 18.87/19.13 thf(1370,plain,(![SV105:(a>$o),SV237:a]: (((((sK2_Y2@SV237)@SV105) = SV237)=$false) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1290])). 18.87/19.13 thf(1371,plain,(![SV238:a,SV211:a,SV106:a]: ((((~ ((less_eq@SV106)@((inf@SV211)@SV238))) | (~ (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238))))))=$false) | (((less_eq@SV106)@((inf@SV211)@SV238))=$false))),inference(extcnf_not_pos,[status(thm)],[1291])). 18.87/19.13 thf(1372,plain,(![SV238:a,SV211:a,SV106:a]: ((((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))=$true) | ((~ ((~ ((less_eq@SV106)@((inf@SV211)@SV238))) | (~ (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[1292])). 18.87/19.13 thf(1373,plain,(![SV309:a,SV292:a,SV107:a]: ((((less_eq@((sup@SV107)@SV292))@SV309)=$false) | (((less_eq@SV107)@SV309)=$true))),inference(extcnf_not_pos,[status(thm)],[1293])). 18.87/19.13 thf(1374,plain,(![SV310:a,SV293:a,SV107:a]: ((((less_eq@((sup@SV107)@SV293))@SV310)=$false) | (((less_eq@SV293)@SV310)=$true))),inference(extcnf_not_pos,[status(thm)],[1294])). 18.87/19.13 thf(1375,plain,(![SV212:a,SV108:(a>$o)]: (((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((![SY611:(a>$o)]: ((~ ((~ (SV108@(((sK3_X2@SY611)@SV212)@SV108))) | (~ (~ ((~ (![SY612:a]: ((~ (SV108@SY612)) | ((less_eq@SY612)@(((sK3_X2@SY611)@SV212)@SV108))))) | (~ (~ (SY611@(((sK3_X2@SY611)@SV212)@SV108))))))))) | (SY611@((greatest_a@less_eq)@SV108))))=$true) | ((SV108@SV212)=$false))),inference(extcnf_not_neg,[status(thm)],[1295])). 18.87/19.13 thf(1376,plain,(![SV108:(a>$o),SV212:a]: (((~ ((less_eq@((sK4_Y2@SV212)@SV108))@SV212))=$true) | ((![SY611:(a>$o)]: ((~ ((~ (SV108@(((sK3_X2@SY611)@SV212)@SV108))) | (~ (~ ((~ (![SY612:a]: ((~ (SV108@SY612)) | ((less_eq@SY612)@(((sK3_X2@SY611)@SV212)@SV108))))) | (~ (~ (SY611@(((sK3_X2@SY611)@SV212)@SV108))))))))) | (SY611@((greatest_a@less_eq)@SV108))))=$true) | ((SV108@SV212)=$false))),inference(extcnf_not_neg,[status(thm)],[1296])). 18.87/19.13 thf(1377,plain,(![SV213:a,SV109:(a>$o)]: (((SV109@((sK12_Y2@SV213)@SV109))=$true) | ((((least_a@less_eq)@SV109) = SV213)=$true) | ((SV109@SV213)=$false))),inference(extcnf_not_neg,[status(thm)],[1297])). 18.87/19.13 thf(1378,plain,(![SV109:(a>$o),SV213:a]: (((~ ((less_eq@SV213)@((sK12_Y2@SV213)@SV109)))=$true) | ((((least_a@less_eq)@SV109) = SV213)=$true) | ((SV109@SV213)=$false))),inference(extcnf_not_neg,[status(thm)],[1298])). 18.87/19.13 thf(1379,plain,(![SV110:(a>(a>a))]: (((~ ((less_eq@(sK22_SY360@SV110))@(sK21_X2@SV110)))=$false) | ((![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_or_neg,[status(thm)],[1299])). 18.87/19.13 thf(1380,plain,(![SV110:(a>(a>a))]: (((~ (~ ((~ ((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110))) | (~ (~ ((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110)))))))=$false) | ((![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_or_neg,[status(thm)],[1299])). 18.87/19.13 thf(1381,plain,(![SV239:a,SV214:a,SV111:a]: ((((~ ((less_eq@((sup@SV111)@SV214))@SV239)) | (~ (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239))))))=$false) | (((less_eq@((sup@SV111)@SV214))@SV239)=$false))),inference(extcnf_not_pos,[status(thm)],[1301])). 18.87/19.13 thf(1382,plain,(![SV111:a,SV239:a,SV214:a]: ((((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))=$true) | ((~ ((~ ((less_eq@((sup@SV111)@SV214))@SV239)) | (~ (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[1302])). 18.87/19.13 thf(1383,plain,(![SV256:a,SV215:a]: (((SV215 = SV256)=$false) | ((~ ((~ (SV215 = SV256)) | (~ (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1303])). 18.87/19.13 thf(1384,plain,(![SV256:a,SV215:a]: (((~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215))))=$false) | ((~ ((~ (SV215 = SV256)) | (~ (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1303])). 18.87/19.13 thf(1385,plain,(![SV241:a,SV113:(a>$o)]: ((((~ (![SY627:a]: ((~ (SV113@SY627)) | ((less_eq@((sK11_Y2@SV241)@SV113))@SY627)))) | (~ (SV113@((sK11_Y2@SV241)@SV113))))=$false) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1304])). 18.87/19.13 thf(1386,plain,(![SV113:(a>$o),SV241:a]: (((((sK11_Y2@SV241)@SV113) = SV241)=$false) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1305])). 18.87/19.13 thf(1387,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: ((((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1306])). 18.87/19.13 thf(1388,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: ((((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257)))))=$false) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1306])). 18.87/19.13 thf(1389,plain,(![SV217:a,SV115:(a>$o)]: (((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((![SY618:(a>$o)]: ((~ ((~ (SV115@(((sK5_X2@SY618)@SV217)@SV115))) | (~ (~ ((~ (![SY619:a]: ((~ (SV115@SY619)) | ((less_eq@(((sK5_X2@SY618)@SV217)@SV115))@SY619)))) | (~ (~ (SY618@(((sK5_X2@SY618)@SV217)@SV115))))))))) | (SY618@((least_a@less_eq)@SV115))))=$true) | ((SV115@SV217)=$false))),inference(extcnf_not_neg,[status(thm)],[1307])). 18.87/19.13 thf(1390,plain,(![SV115:(a>$o),SV217:a]: (((~ ((less_eq@SV217)@((sK6_Y2@SV217)@SV115)))=$true) | ((![SY618:(a>$o)]: ((~ ((~ (SV115@(((sK5_X2@SY618)@SV217)@SV115))) | (~ (~ ((~ (![SY619:a]: ((~ (SV115@SY619)) | ((less_eq@(((sK5_X2@SY618)@SV217)@SV115))@SY619)))) | (~ (~ (SY618@(((sK5_X2@SY618)@SV217)@SV115))))))))) | (SY618@((least_a@less_eq)@SV115))))=$true) | ((SV115@SV217)=$false))),inference(extcnf_not_neg,[status(thm)],[1308])). 18.87/19.13 thf(1391,plain,(![SV218:a,SV116:(a>$o)]: (((SV116@((sK13_Y2@SV218)@SV116))=$true) | ((((greatest_a@less_eq)@SV116) = SV218)=$true) | ((SV116@SV218)=$false))),inference(extcnf_not_neg,[status(thm)],[1309])). 18.87/19.13 thf(1392,plain,(![SV116:(a>$o),SV218:a]: (((~ ((less_eq@((sK13_Y2@SV218)@SV116))@SV218))=$true) | ((((greatest_a@less_eq)@SV116) = SV218)=$true) | ((SV116@SV218)=$false))),inference(extcnf_not_neg,[status(thm)],[1310])). 18.87/19.13 thf(1393,plain,(![SV258:a,SV219:a]: (((SV219 = SV258)=$false) | ((~ ((~ (SV219 = SV258)) | (~ (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1311])). 18.87/19.13 thf(1394,plain,(![SV219:a,SV258:a]: (((~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258))))=$false) | ((~ ((~ (SV219 = SV258)) | (~ (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1311])). 18.87/19.13 thf(1395,plain,(![SV311:a,SV296:a,SV118:a]: ((((less_eq@((sup@SV118)@SV296))@SV311)=$false) | (((less_eq@SV118)@SV311)=$true))),inference(extcnf_not_pos,[status(thm)],[1312])). 18.87/19.13 thf(1396,plain,(![SV312:a,SV297:a,SV118:a]: ((((less_eq@((sup@SV118)@SV297))@SV312)=$false) | (((less_eq@SV297)@SV312)=$true))),inference(extcnf_not_pos,[status(thm)],[1313])). 18.87/19.13 thf(1397,plain,(![SV315:a,SV298:a,SV119:a]: ((((less_eq@SV119)@((inf@SV298)@SV315))=$false) | (((less_eq@SV119)@SV298)=$true))),inference(extcnf_not_pos,[status(thm)],[1314])). 18.87/19.13 thf(1398,plain,(![SV313:a,SV299:a,SV119:a]: ((((less_eq@SV119)@((inf@SV299)@SV313))=$false) | (((less_eq@SV119)@SV313)=$true))),inference(extcnf_not_pos,[status(thm)],[1315])). 18.87/19.13 thf(1399,plain,(![SV316:a,SV300:a,SV120:a]: ((((less_eq@SV120)@((inf@SV300)@SV316))=$false) | (((less_eq@SV120)@SV300)=$true))),inference(extcnf_not_pos,[status(thm)],[1316])). 18.87/19.13 thf(1400,plain,(![SV314:a,SV301:a,SV120:a]: ((((less_eq@SV120)@((inf@SV301)@SV314))=$false) | (((less_eq@SV120)@SV314)=$true))),inference(extcnf_not_pos,[status(thm)],[1317])). 18.87/19.13 thf(1401,plain,(![SV244:a,SV220:a,SV121:a]: ((((~ ((less_eq@((sup@SV121)@SV220))@SV244)) | (~ (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244))))))=$false) | (((less_eq@((sup@SV121)@SV220))@SV244)=$false))),inference(extcnf_not_pos,[status(thm)],[1318])). 18.87/19.13 thf(1402,plain,(![SV121:a,SV244:a,SV220:a]: ((((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))=$true) | ((~ ((~ ((less_eq@((sup@SV121)@SV220))@SV244)) | (~ (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[1319])). 18.87/19.13 thf(1403,plain,(![SV261:a,SV221:a]: (((SV221 = SV261)=$false) | ((~ ((~ (SV221 = SV261)) | (~ (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1321])). 18.87/19.13 thf(1404,plain,(![SV261:a,SV221:a]: (((~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221))))=$false) | ((~ ((~ (SV221 = SV261)) | (~ (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1321])). 18.87/19.13 thf(1405,plain,(![SV123:(a>(a>a))]: (((~ ((less_eq@(sK14_X2@SV123))@(sK15_SY355@SV123)))=$false) | ((![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_or_neg,[status(thm)],[1322])). 18.87/19.13 thf(1406,plain,(![SV123:(a>(a>a))]: (((~ (~ ((~ ((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123))) | (~ (~ ((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123))))))))=$false) | ((![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_or_neg,[status(thm)],[1322])). 18.87/19.13 thf(1407,plain,(![SV246:a,SV222:a,SV124:a]: ((((~ ((less_eq@SV124)@((inf@SV222)@SV246))) | (~ (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222))))))=$false) | (((less_eq@SV124)@((inf@SV222)@SV246))=$false))),inference(extcnf_not_pos,[status(thm)],[1323])). 18.87/19.13 thf(1408,plain,(![SV222:a,SV246:a,SV124:a]: ((((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))=$true) | ((~ ((~ ((less_eq@SV124)@((inf@SV222)@SV246))) | (~ (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[1324])). 18.87/19.13 thf(1409,plain,(![SV143:a,SV21:a]: ((((less_eq@SV21)@SV143)=$true) | (((less_eq@SV21)@SV143)=$false))),inference(extcnf_not_neg,[status(thm)],[1327])). 18.87/19.13 thf(1410,plain,(![SV143:a,SV21:a]: (((SV21 = ((inf@SV21)@SV143))=$true) | (((less_eq@SV21)@SV143)=$false))),inference(extcnf_not_neg,[status(thm)],[1328])). 18.87/19.13 thf(1411,plain,(![SV143:a,SV21:a]: ((((less_eq@SV21)@SV143)=$true) | ((SV21 = ((inf@SV21)@SV143))=$false))),inference(extcnf_not_neg,[status(thm)],[1329])). 18.87/19.13 thf(1412,plain,(![SV143:a,SV21:a]: (((SV21 = ((inf@SV21)@SV143))=$true) | ((SV21 = ((inf@SV21)@SV143))=$false))),inference(extcnf_not_neg,[status(thm)],[1330])). 18.87/19.13 thf(1413,plain,(![SV152:a,SV31:a]: ((((less_eq@SV31)@SV152)=$true) | (((less_eq@SV31)@SV152)=$false))),inference(extcnf_not_neg,[status(thm)],[1331])). 18.87/19.13 thf(1414,plain,(![SV31:a,SV152:a]: (((((sup@SV152)@SV31) = SV152)=$true) | (((less_eq@SV31)@SV152)=$false))),inference(extcnf_not_neg,[status(thm)],[1332])). 18.87/19.13 thf(1415,plain,(![SV152:a,SV31:a]: ((((less_eq@SV31)@SV152)=$true) | ((((sup@SV152)@SV31) = SV152)=$false))),inference(extcnf_not_neg,[status(thm)],[1333])). 18.87/19.13 thf(1416,plain,(![SV31:a,SV152:a]: (((((sup@SV152)@SV31) = SV152)=$true) | ((((sup@SV152)@SV31) = SV152)=$false))),inference(extcnf_not_neg,[status(thm)],[1334])). 18.87/19.13 thf(1417,plain,(![SV161:a,SV40:a]: ((((less_eq@SV40)@SV161)=$true) | (((less_eq@SV40)@SV161)=$false))),inference(extcnf_not_neg,[status(thm)],[1336])). 18.87/19.13 thf(1418,plain,(![SV40:a,SV161:a]: (((((inf@SV161)@SV40) = SV40)=$true) | (((less_eq@SV40)@SV161)=$false))),inference(extcnf_not_neg,[status(thm)],[1337])). 18.87/19.13 thf(1419,plain,(![SV161:a,SV40:a]: ((((less_eq@SV40)@SV161)=$true) | ((((inf@SV161)@SV40) = SV40)=$false))),inference(extcnf_not_neg,[status(thm)],[1338])). 18.87/19.13 thf(1420,plain,(![SV40:a,SV161:a]: (((((inf@SV161)@SV40) = SV40)=$true) | ((((inf@SV161)@SV40) = SV40)=$false))),inference(extcnf_not_neg,[status(thm)],[1339])). 18.87/19.13 thf(1421,plain,(![SV177:a,SV58:a]: ((((less_eq@SV58)@SV177)=$true) | (((less_eq@SV58)@SV177)=$false))),inference(extcnf_not_neg,[status(thm)],[1340])). 18.87/19.13 thf(1422,plain,(![SV177:a,SV58:a]: (((((inf@SV58)@SV177) = SV58)=$true) | (((less_eq@SV58)@SV177)=$false))),inference(extcnf_not_neg,[status(thm)],[1341])). 18.87/19.13 thf(1423,plain,(![SV177:a,SV58:a]: ((((less_eq@SV58)@SV177)=$true) | ((((inf@SV58)@SV177) = SV58)=$false))),inference(extcnf_not_neg,[status(thm)],[1342])). 18.87/19.13 thf(1424,plain,(![SV177:a,SV58:a]: (((((inf@SV58)@SV177) = SV58)=$true) | ((((inf@SV58)@SV177) = SV58)=$false))),inference(extcnf_not_neg,[status(thm)],[1343])). 18.87/19.13 thf(1425,plain,(![SV181:a,SV62:a]: ((((less_eq@SV62)@SV181)=$true) | (((less_eq@SV62)@SV181)=$false))),inference(extcnf_not_neg,[status(thm)],[1344])). 18.87/19.13 thf(1426,plain,(![SV62:a,SV181:a]: (((SV181 = ((sup@SV181)@SV62))=$true) | (((less_eq@SV62)@SV181)=$false))),inference(extcnf_not_neg,[status(thm)],[1345])). 18.87/19.13 thf(1427,plain,(![SV181:a,SV62:a]: ((((less_eq@SV62)@SV181)=$true) | ((SV181 = ((sup@SV181)@SV62))=$false))),inference(extcnf_not_neg,[status(thm)],[1346])). 18.87/19.13 thf(1428,plain,(![SV62:a,SV181:a]: (((SV181 = ((sup@SV181)@SV62))=$true) | ((SV181 = ((sup@SV181)@SV62))=$false))),inference(extcnf_not_neg,[status(thm)],[1347])). 18.87/19.13 thf(1429,plain,(![SV182:a,SV63:a]: ((((less_eq@SV63)@SV182)=$true) | (((less_eq@SV63)@SV182)=$false))),inference(extcnf_not_neg,[status(thm)],[1348])). 18.87/19.13 thf(1430,plain,(![SV182:a,SV63:a]: (((((sup@SV63)@SV182) = SV182)=$true) | (((less_eq@SV63)@SV182)=$false))),inference(extcnf_not_neg,[status(thm)],[1349])). 18.87/19.13 thf(1431,plain,(![SV182:a,SV63:a]: ((((less_eq@SV63)@SV182)=$true) | ((((sup@SV63)@SV182) = SV182)=$false))),inference(extcnf_not_neg,[status(thm)],[1350])). 18.87/19.13 thf(1432,plain,(![SV182:a,SV63:a]: (((((sup@SV63)@SV182) = SV182)=$true) | ((((sup@SV63)@SV182) = SV182)=$false))),inference(extcnf_not_neg,[status(thm)],[1351])). 18.87/19.13 thf(1433,plain,(![SV193:a,SV75:a]: ((((less_eq@SV75)@SV193)=$true) | (((less_eq@SV75)@SV193)=$false))),inference(extcnf_not_neg,[status(thm)],[1352])). 18.87/19.13 thf(1434,plain,(![SV193:a,SV75:a]: (((((sup@SV75)@SV193) = SV193)=$true) | (((less_eq@SV75)@SV193)=$false))),inference(extcnf_not_neg,[status(thm)],[1353])). 18.87/19.13 thf(1435,plain,(![SV193:a,SV75:a]: ((((less_eq@SV75)@SV193)=$true) | ((((sup@SV75)@SV193) = SV193)=$false))),inference(extcnf_not_neg,[status(thm)],[1354])). 18.87/19.13 thf(1436,plain,(![SV193:a,SV75:a]: (((((sup@SV75)@SV193) = SV193)=$true) | ((((sup@SV75)@SV193) = SV193)=$false))),inference(extcnf_not_neg,[status(thm)],[1355])). 18.87/19.13 thf(1437,plain,(![SV194:a,SV76:a]: ((((less_eq@SV76)@SV194)=$true) | (((less_eq@SV76)@SV194)=$false))),inference(extcnf_not_neg,[status(thm)],[1356])). 18.87/19.13 thf(1438,plain,(![SV194:a,SV76:a]: (((((inf@SV76)@SV194) = SV76)=$true) | (((less_eq@SV76)@SV194)=$false))),inference(extcnf_not_neg,[status(thm)],[1357])). 18.87/19.13 thf(1439,plain,(![SV194:a,SV76:a]: ((((less_eq@SV76)@SV194)=$true) | ((((inf@SV76)@SV194) = SV76)=$false))),inference(extcnf_not_neg,[status(thm)],[1358])). 18.87/19.13 thf(1440,plain,(![SV194:a,SV76:a]: (((((inf@SV76)@SV194) = SV76)=$true) | ((((inf@SV76)@SV194) = SV76)=$false))),inference(extcnf_not_neg,[status(thm)],[1359])). 18.87/19.13 thf(1441,plain,(![SV200:(a>(a>a))]: (((semigroup_a@SV200)=$true) | ((semigroup_a@SV200)=$false))),inference(extcnf_not_neg,[status(thm)],[1360])). 18.87/19.13 thf(1442,plain,(![SV200:(a>(a>a))]: (((![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603))))=$true) | ((semigroup_a@SV200)=$false))),inference(extcnf_not_neg,[status(thm)],[1361])). 18.87/19.13 thf(1443,plain,(![SV200:(a>(a>a))]: (((((SV200@((SV200@(sK34_SY601@SV200))@(sK35_SY652@SV200)))@(sK36_SY654@SV200)) = ((SV200@(sK34_SY601@SV200))@((SV200@(sK35_SY652@SV200))@(sK36_SY654@SV200))))=$false) | ((~ ((~ (semigroup_a@SV200)) | (~ (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603)))))))=$true))),inference(extcnf_forall_neg,[status(esa)],[1362])). 18.87/19.13 thf(1444,plain,(![SV201:(a>(a>a))]: (((lattic1885654924_set_a@SV201)=$true) | ((lattic1885654924_set_a@SV201)=$false))),inference(extcnf_not_neg,[status(thm)],[1363])). 18.87/19.13 thf(1445,plain,(![SV201:(a>(a>a))]: (((semilattice_a@SV201)=$true) | ((lattic1885654924_set_a@SV201)=$false))),inference(extcnf_not_neg,[status(thm)],[1364])). 18.87/19.13 thf(1446,plain,(![SV201:(a>(a>a))]: (((lattic1885654924_set_a@SV201)=$true) | ((semilattice_a@SV201)=$false))),inference(extcnf_not_neg,[status(thm)],[1365])). 18.87/19.13 thf(1447,plain,(![SV201:(a>(a>a))]: (((semilattice_a@SV201)=$true) | ((semilattice_a@SV201)=$false))),inference(extcnf_not_neg,[status(thm)],[1366])). 18.87/19.13 thf(1448,plain,(![SV103:a,SV210:a]: ((((~ ((less_eq@SV210)@SV103)) | (~ (SV210 = SV103)))=$false) | (((less_eq@SV210)@SV103)=$false) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_not_pos,[status(thm)],[1367])). 18.87/19.13 thf(1449,plain,(![SV103:a,SV210:a]: ((((~ ((less_eq@SV210)@SV103)) | (~ (SV210 = SV103)))=$false) | ((SV210 = SV103)=$false) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_not_pos,[status(thm)],[1368])). 18.87/19.13 thf(1450,plain,(![SV237:a,SV105:(a>$o)]: (((~ (![SY626:a]: ((~ (SV105@SY626)) | ((less_eq@((sK2_Y2@SV237)@SV105))@SY626))))=$false) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_neg,[status(thm)],[1369])). 18.87/19.13 thf(1451,plain,(![SV237:a,SV105:(a>$o)]: (((~ (SV105@((sK2_Y2@SV237)@SV105)))=$false) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_neg,[status(thm)],[1369])). 18.87/19.13 thf(1452,plain,(![SV237:a,SV105:(a>$o)]: (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105))))))=$true) | ((~ (SV105@SV237))=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_pos,[status(thm)],[1370])). 18.87/19.13 thf(1453,plain,(![SV238:a,SV211:a,SV106:a]: (((~ ((less_eq@SV106)@((inf@SV211)@SV238)))=$false) | (((less_eq@SV106)@((inf@SV211)@SV238))=$false))),inference(extcnf_or_neg,[status(thm)],[1371])). 18.87/19.13 thf(1454,plain,(![SV238:a,SV211:a,SV106:a]: (((~ (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))=$false) | (((less_eq@SV106)@((inf@SV211)@SV238))=$false))),inference(extcnf_or_neg,[status(thm)],[1371])). 18.87/19.13 thf(1455,plain,(![SV238:a,SV211:a,SV106:a]: (((~ ((less_eq@SV106)@SV211))=$true) | ((~ ((less_eq@SV106)@SV238))=$true) | ((~ ((~ ((less_eq@SV106)@((inf@SV211)@SV238))) | (~ (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1372])). 18.87/19.13 thf(1456,plain,(![SV212:a,SV317:(a>$o),SV108:(a>$o)]: ((((~ ((~ (SV108@(((sK3_X2@SV317)@SV212)@SV108))) | (~ (~ ((~ (![SY655:a]: ((~ (SV108@SY655)) | ((less_eq@SY655)@(((sK3_X2@SV317)@SV212)@SV108))))) | (~ (~ (SV317@(((sK3_X2@SV317)@SV212)@SV108))))))))) | (SV317@((greatest_a@less_eq)@SV108)))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_forall_pos,[status(thm)],[1375])). 18.87/19.13 thf(1457,plain,(![SV108:(a>$o),SV212:a]: ((((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((![SY611:(a>$o)]: ((~ ((~ (SV108@(((sK3_X2@SY611)@SV212)@SV108))) | (~ (~ ((~ (![SY612:a]: ((~ (SV108@SY612)) | ((less_eq@SY612)@(((sK3_X2@SY611)@SV212)@SV108))))) | (~ (~ (SY611@(((sK3_X2@SY611)@SV212)@SV108))))))))) | (SY611@((greatest_a@less_eq)@SV108))))=$true) | ((SV108@SV212)=$false))),inference(extcnf_not_pos,[status(thm)],[1376])). 18.87/19.13 thf(1458,plain,(![SV109:(a>$o),SV213:a]: ((((less_eq@SV213)@((sK12_Y2@SV213)@SV109))=$false) | ((((least_a@less_eq)@SV109) = SV213)=$true) | ((SV109@SV213)=$false))),inference(extcnf_not_pos,[status(thm)],[1378])). 18.87/19.13 thf(1459,plain,(![SV110:(a>(a>a))]: ((((less_eq@(sK22_SY360@SV110))@(sK21_X2@SV110))=$true) | ((![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_not_neg,[status(thm)],[1379])). 18.87/19.13 thf(1460,plain,(![SV110:(a>(a>a))]: (((~ ((~ ((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110))) | (~ (~ ((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110))))))=$true) | ((![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_not_neg,[status(thm)],[1380])). 18.87/19.13 thf(1461,plain,(![SV239:a,SV214:a,SV111:a]: (((~ ((less_eq@((sup@SV111)@SV214))@SV239))=$false) | (((less_eq@((sup@SV111)@SV214))@SV239)=$false))),inference(extcnf_or_neg,[status(thm)],[1381])). 18.87/19.13 thf(1462,plain,(![SV111:a,SV239:a,SV214:a]: (((~ (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))=$false) | (((less_eq@((sup@SV111)@SV214))@SV239)=$false))),inference(extcnf_or_neg,[status(thm)],[1381])). 18.87/19.13 thf(1463,plain,(![SV111:a,SV239:a,SV214:a]: (((~ ((less_eq@SV214)@SV239))=$true) | ((~ ((less_eq@SV111)@SV239))=$true) | ((~ ((~ ((less_eq@((sup@SV111)@SV214))@SV239)) | (~ (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1382])). 18.87/19.13 thf(1464,plain,(![SV256:a,SV215:a]: ((((~ (SV215 = SV256)) | (~ (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215))))))=$false) | ((SV215 = SV256)=$false))),inference(extcnf_not_pos,[status(thm)],[1383])). 18.87/19.13 thf(1465,plain,(![SV256:a,SV215:a]: ((((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))=$true) | ((~ ((~ (SV215 = SV256)) | (~ (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[1384])). 18.87/19.13 thf(1466,plain,(![SV241:a,SV113:(a>$o)]: (((~ (![SY627:a]: ((~ (SV113@SY627)) | ((less_eq@((sK11_Y2@SV241)@SV113))@SY627))))=$false) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_neg,[status(thm)],[1385])). 18.87/19.13 thf(1467,plain,(![SV241:a,SV113:(a>$o)]: (((~ (SV113@((sK11_Y2@SV241)@SV113)))=$false) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_neg,[status(thm)],[1385])). 18.87/19.13 thf(1468,plain,(![SV241:a,SV113:(a>$o)]: (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113))))))=$true) | ((~ (SV113@SV241))=$true) | ((((sK11_Y2@SV241)@SV113) = SV241)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_pos,[status(thm)],[1386])). 18.87/19.13 thf(1469,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: ((((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257)))))))=$false) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_pos,[status(thm)],[1387])). 18.87/19.13 thf(1470,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216)))))=$false) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1388])). 18.87/19.13 thf(1471,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: (((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$false) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_or_neg,[status(thm)],[1388])). 18.87/19.13 thf(1472,plain,(![SV217:a,SV318:(a>$o),SV115:(a>$o)]: ((((~ ((~ (SV115@(((sK5_X2@SV318)@SV217)@SV115))) | (~ (~ ((~ (![SY656:a]: ((~ (SV115@SY656)) | ((less_eq@(((sK5_X2@SV318)@SV217)@SV115))@SY656)))) | (~ (~ (SV318@(((sK5_X2@SV318)@SV217)@SV115))))))))) | (SV318@((least_a@less_eq)@SV115)))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_forall_pos,[status(thm)],[1389])). 18.87/19.13 thf(1473,plain,(![SV115:(a>$o),SV217:a]: ((((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((![SY618:(a>$o)]: ((~ ((~ (SV115@(((sK5_X2@SY618)@SV217)@SV115))) | (~ (~ ((~ (![SY619:a]: ((~ (SV115@SY619)) | ((less_eq@(((sK5_X2@SY618)@SV217)@SV115))@SY619)))) | (~ (~ (SY618@(((sK5_X2@SY618)@SV217)@SV115))))))))) | (SY618@((least_a@less_eq)@SV115))))=$true) | ((SV115@SV217)=$false))),inference(extcnf_not_pos,[status(thm)],[1390])). 18.87/19.13 thf(1474,plain,(![SV116:(a>$o),SV218:a]: ((((less_eq@((sK13_Y2@SV218)@SV116))@SV218)=$false) | ((((greatest_a@less_eq)@SV116) = SV218)=$true) | ((SV116@SV218)=$false))),inference(extcnf_not_pos,[status(thm)],[1392])). 18.87/19.13 thf(1475,plain,(![SV258:a,SV219:a]: ((((~ (SV219 = SV258)) | (~ (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258))))))=$false) | ((SV219 = SV258)=$false))),inference(extcnf_not_pos,[status(thm)],[1393])). 18.87/19.13 thf(1476,plain,(![SV219:a,SV258:a]: ((((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))=$true) | ((~ ((~ (SV219 = SV258)) | (~ (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[1394])). 18.87/19.13 thf(1477,plain,(![SV244:a,SV220:a,SV121:a]: (((~ ((less_eq@((sup@SV121)@SV220))@SV244))=$false) | (((less_eq@((sup@SV121)@SV220))@SV244)=$false))),inference(extcnf_or_neg,[status(thm)],[1401])). 18.87/19.13 thf(1478,plain,(![SV121:a,SV244:a,SV220:a]: (((~ (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))=$false) | (((less_eq@((sup@SV121)@SV220))@SV244)=$false))),inference(extcnf_or_neg,[status(thm)],[1401])). 18.87/19.13 thf(1479,plain,(![SV121:a,SV244:a,SV220:a]: (((~ ((less_eq@SV220)@SV244))=$true) | ((~ ((less_eq@SV121)@SV244))=$true) | ((~ ((~ ((less_eq@((sup@SV121)@SV220))@SV244)) | (~ (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1402])). 18.87/19.13 thf(1480,plain,(![SV261:a,SV221:a]: ((((~ (SV221 = SV261)) | (~ (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221))))))=$false) | ((SV221 = SV261)=$false))),inference(extcnf_not_pos,[status(thm)],[1403])). 18.87/19.13 thf(1481,plain,(![SV261:a,SV221:a]: ((((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))=$true) | ((~ ((~ (SV221 = SV261)) | (~ (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[1404])). 18.87/19.13 thf(1482,plain,(![SV123:(a>(a>a))]: ((((less_eq@(sK14_X2@SV123))@(sK15_SY355@SV123))=$true) | ((![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_not_neg,[status(thm)],[1405])). 18.87/19.13 thf(1483,plain,(![SV123:(a>(a>a))]: (((~ ((~ ((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123))) | (~ (~ ((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123)))))))=$true) | ((![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_not_neg,[status(thm)],[1406])). 18.87/19.13 thf(1484,plain,(![SV246:a,SV222:a,SV124:a]: (((~ ((less_eq@SV124)@((inf@SV222)@SV246)))=$false) | (((less_eq@SV124)@((inf@SV222)@SV246))=$false))),inference(extcnf_or_neg,[status(thm)],[1407])). 18.87/19.13 thf(1485,plain,(![SV222:a,SV246:a,SV124:a]: (((~ (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))=$false) | (((less_eq@SV124)@((inf@SV222)@SV246))=$false))),inference(extcnf_or_neg,[status(thm)],[1407])). 18.87/19.13 thf(1486,plain,(![SV222:a,SV246:a,SV124:a]: (((~ ((less_eq@SV124)@SV246))=$true) | ((~ ((less_eq@SV124)@SV222))=$true) | ((~ ((~ ((less_eq@SV124)@((inf@SV222)@SV246))) | (~ (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1408])). 18.87/19.13 thf(1487,plain,(![SV319:a,SV200:(a>(a>a))]: (((![SY657:a,SY658:a]: (((SV200@((SV200@SV319)@SY657))@SY658) = ((SV200@SV319)@((SV200@SY657)@SY658))))=$true) | ((semigroup_a@SV200)=$false))),inference(extcnf_forall_pos,[status(thm)],[1442])). 18.87/19.13 thf(1488,plain,(![SV200:(a>(a>a))]: ((((~ (semigroup_a@SV200)) | (~ (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603))))))=$false) | ((((SV200@((SV200@(sK34_SY601@SV200))@(sK35_SY652@SV200)))@(sK36_SY654@SV200)) = ((SV200@(sK34_SY601@SV200))@((SV200@(sK35_SY652@SV200))@(sK36_SY654@SV200))))=$false))),inference(extcnf_not_pos,[status(thm)],[1443])). 18.87/19.13 thf(1489,plain,(![SV103:a,SV210:a]: (((~ ((less_eq@SV210)@SV103))=$false) | (((less_eq@SV210)@SV103)=$false) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_or_neg,[status(thm)],[1448])). 18.87/19.13 thf(1490,plain,(![SV103:a,SV210:a]: (((~ (SV210 = SV103))=$false) | (((less_eq@SV210)@SV103)=$false) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_or_neg,[status(thm)],[1448])). 18.87/19.13 thf(1491,plain,(![SV103:a,SV210:a]: (((~ ((less_eq@SV210)@SV103))=$false) | ((SV210 = SV103)=$false) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_or_neg,[status(thm)],[1449])). 18.87/19.13 thf(1492,plain,(![SV103:a,SV210:a]: (((~ (SV210 = SV103))=$false) | ((SV210 = SV103)=$false) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_or_neg,[status(thm)],[1449])). 18.87/19.13 thf(1493,plain,(![SV237:a,SV105:(a>$o)]: (((![SY626:a]: ((~ (SV105@SY626)) | ((less_eq@((sK2_Y2@SV237)@SV105))@SY626)))=$true) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_neg,[status(thm)],[1450])). 18.87/19.13 thf(1494,plain,(![SV237:a,SV105:(a>$o)]: (((SV105@((sK2_Y2@SV237)@SV105))=$true) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_neg,[status(thm)],[1451])). 18.87/19.13 thf(1495,plain,(![SV237:a,SV105:(a>$o)]: ((((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))=$false) | ((~ (SV105@SV237))=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1452])). 18.87/19.13 thf(1496,plain,(![SV238:a,SV211:a,SV106:a]: ((((less_eq@SV106)@((inf@SV211)@SV238))=$true) | (((less_eq@SV106)@((inf@SV211)@SV238))=$false))),inference(extcnf_not_neg,[status(thm)],[1453])). 18.87/19.13 thf(1497,plain,(![SV238:a,SV211:a,SV106:a]: (((~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238))))=$true) | (((less_eq@SV106)@((inf@SV211)@SV238))=$false))),inference(extcnf_not_neg,[status(thm)],[1454])). 18.87/19.13 thf(1498,plain,(![SV238:a,SV211:a,SV106:a]: ((((less_eq@SV106)@SV211)=$false) | ((~ ((less_eq@SV106)@SV238))=$true) | ((~ ((~ ((less_eq@SV106)@((inf@SV211)@SV238))) | (~ (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1455])). 18.87/19.13 thf(1499,plain,(![SV212:a,SV317:(a>$o),SV108:(a>$o)]: (((~ ((~ (SV108@(((sK3_X2@SV317)@SV212)@SV108))) | (~ (~ ((~ (![SY655:a]: ((~ (SV108@SY655)) | ((less_eq@SY655)@(((sK3_X2@SV317)@SV212)@SV108))))) | (~ (~ (SV317@(((sK3_X2@SV317)@SV212)@SV108)))))))))=$true) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_or_pos,[status(thm)],[1456])). 18.87/19.13 thf(1500,plain,(![SV212:a,SV320:(a>$o),SV108:(a>$o)]: ((((~ ((~ (SV108@(((sK3_X2@SV320)@SV212)@SV108))) | (~ (~ ((~ (![SY659:a]: ((~ (SV108@SY659)) | ((less_eq@SY659)@(((sK3_X2@SV320)@SV212)@SV108))))) | (~ (~ (SV320@(((sK3_X2@SV320)@SV212)@SV108))))))))) | (SV320@((greatest_a@less_eq)@SV108)))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_forall_pos,[status(thm)],[1457])). 18.87/19.13 thf(1501,plain,(![SV110:(a>(a>a)),SV321:a]: (((![SY660:a]: (((sup@SV321)@SY660) = ((SV110@SV321)@SY660)))=$true) | (((less_eq@(sK22_SY360@SV110))@(sK21_X2@SV110))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_forall_pos,[status(thm)],[1459])). 18.87/19.13 thf(1502,plain,(![SV110:(a>(a>a))]: ((((~ ((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110))) | (~ (~ ((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110)))))=$false) | ((![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_not_pos,[status(thm)],[1460])). 18.87/19.13 thf(1503,plain,(![SV239:a,SV214:a,SV111:a]: ((((less_eq@((sup@SV111)@SV214))@SV239)=$true) | (((less_eq@((sup@SV111)@SV214))@SV239)=$false))),inference(extcnf_not_neg,[status(thm)],[1461])). 18.87/19.13 thf(1504,plain,(![SV111:a,SV239:a,SV214:a]: (((~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239))))=$true) | (((less_eq@((sup@SV111)@SV214))@SV239)=$false))),inference(extcnf_not_neg,[status(thm)],[1462])). 18.87/19.13 thf(1505,plain,(![SV111:a,SV239:a,SV214:a]: ((((less_eq@SV214)@SV239)=$false) | ((~ ((less_eq@SV111)@SV239))=$true) | ((~ ((~ ((less_eq@((sup@SV111)@SV214))@SV239)) | (~ (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1463])). 18.87/19.13 thf(1506,plain,(![SV256:a,SV215:a]: (((~ (SV215 = SV256))=$false) | ((SV215 = SV256)=$false))),inference(extcnf_or_neg,[status(thm)],[1464])). 18.87/19.13 thf(1507,plain,(![SV256:a,SV215:a]: (((~ (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))=$false) | ((SV215 = SV256)=$false))),inference(extcnf_or_neg,[status(thm)],[1464])). 18.87/19.13 thf(1508,plain,(![SV256:a,SV215:a]: (((~ ((less_eq@SV215)@SV256))=$true) | ((~ ((less_eq@SV256)@SV215))=$true) | ((~ ((~ (SV215 = SV256)) | (~ (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1465])). 18.87/19.13 thf(1509,plain,(![SV241:a,SV113:(a>$o)]: (((![SY627:a]: ((~ (SV113@SY627)) | ((less_eq@((sK11_Y2@SV241)@SV113))@SY627)))=$true) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_neg,[status(thm)],[1466])). 18.87/19.13 thf(1510,plain,(![SV241:a,SV113:(a>$o)]: (((SV113@((sK11_Y2@SV241)@SV113))=$true) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_neg,[status(thm)],[1467])). 18.87/19.13 thf(1511,plain,(![SV241:a,SV113:(a>$o)]: ((((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))=$false) | ((~ (SV113@SV241))=$true) | ((((sK11_Y2@SV241)@SV113) = SV241)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1468])). 18.87/19.13 thf(1512,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257)))=$false) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_or_neg,[status(thm)],[1469])). 18.87/19.13 thf(1513,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))=$false) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_or_neg,[status(thm)],[1469])). 18.87/19.13 thf(1514,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: ((((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))=$true) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_not_neg,[status(thm)],[1470])). 18.87/19.13 thf(1515,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: ((((~ (SV114 = SV242)) | (~ (SV216 = SV257)))=$true) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_not_neg,[status(thm)],[1471])). 18.87/19.13 thf(1516,plain,(![SV217:a,SV318:(a>$o),SV115:(a>$o)]: (((~ ((~ (SV115@(((sK5_X2@SV318)@SV217)@SV115))) | (~ (~ ((~ (![SY656:a]: ((~ (SV115@SY656)) | ((less_eq@(((sK5_X2@SV318)@SV217)@SV115))@SY656)))) | (~ (~ (SV318@(((sK5_X2@SV318)@SV217)@SV115)))))))))=$true) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_or_pos,[status(thm)],[1472])). 18.87/19.13 thf(1517,plain,(![SV217:a,SV322:(a>$o),SV115:(a>$o)]: ((((~ ((~ (SV115@(((sK5_X2@SV322)@SV217)@SV115))) | (~ (~ ((~ (![SY661:a]: ((~ (SV115@SY661)) | ((less_eq@(((sK5_X2@SV322)@SV217)@SV115))@SY661)))) | (~ (~ (SV322@(((sK5_X2@SV322)@SV217)@SV115))))))))) | (SV322@((least_a@less_eq)@SV115)))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_forall_pos,[status(thm)],[1473])). 18.87/19.13 thf(1518,plain,(![SV258:a,SV219:a]: (((~ (SV219 = SV258))=$false) | ((SV219 = SV258)=$false))),inference(extcnf_or_neg,[status(thm)],[1475])). 18.87/19.13 thf(1519,plain,(![SV219:a,SV258:a]: (((~ (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))=$false) | ((SV219 = SV258)=$false))),inference(extcnf_or_neg,[status(thm)],[1475])). 18.87/19.13 thf(1520,plain,(![SV219:a,SV258:a]: (((~ ((less_eq@SV258)@SV219))=$true) | ((~ ((less_eq@SV219)@SV258))=$true) | ((~ ((~ (SV219 = SV258)) | (~ (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1476])). 18.87/19.13 thf(1521,plain,(![SV244:a,SV220:a,SV121:a]: ((((less_eq@((sup@SV121)@SV220))@SV244)=$true) | (((less_eq@((sup@SV121)@SV220))@SV244)=$false))),inference(extcnf_not_neg,[status(thm)],[1477])). 18.87/19.13 thf(1522,plain,(![SV121:a,SV244:a,SV220:a]: (((~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244))))=$true) | (((less_eq@((sup@SV121)@SV220))@SV244)=$false))),inference(extcnf_not_neg,[status(thm)],[1478])). 18.87/19.13 thf(1523,plain,(![SV121:a,SV244:a,SV220:a]: ((((less_eq@SV220)@SV244)=$false) | ((~ ((less_eq@SV121)@SV244))=$true) | ((~ ((~ ((less_eq@((sup@SV121)@SV220))@SV244)) | (~ (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1479])). 18.87/19.13 thf(1524,plain,(![SV261:a,SV221:a]: (((~ (SV221 = SV261))=$false) | ((SV221 = SV261)=$false))),inference(extcnf_or_neg,[status(thm)],[1480])). 18.87/19.13 thf(1525,plain,(![SV261:a,SV221:a]: (((~ (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))=$false) | ((SV221 = SV261)=$false))),inference(extcnf_or_neg,[status(thm)],[1480])). 18.87/19.13 thf(1526,plain,(![SV261:a,SV221:a]: (((~ ((less_eq@SV221)@SV261))=$true) | ((~ ((less_eq@SV261)@SV221))=$true) | ((~ ((~ (SV221 = SV261)) | (~ (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1481])). 18.87/19.13 thf(1527,plain,(![SV123:(a>(a>a)),SV323:a]: (((![SY662:a]: (((inf@SV323)@SY662) = ((SV123@SV323)@SY662)))=$true) | (((less_eq@(sK14_X2@SV123))@(sK15_SY355@SV123))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_forall_pos,[status(thm)],[1482])). 18.87/19.13 thf(1528,plain,(![SV123:(a>(a>a))]: ((((~ ((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123))) | (~ (~ ((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123))))))=$false) | ((![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_not_pos,[status(thm)],[1483])). 18.87/19.13 thf(1529,plain,(![SV246:a,SV222:a,SV124:a]: ((((less_eq@SV124)@((inf@SV222)@SV246))=$true) | (((less_eq@SV124)@((inf@SV222)@SV246))=$false))),inference(extcnf_not_neg,[status(thm)],[1484])). 18.87/19.13 thf(1530,plain,(![SV222:a,SV246:a,SV124:a]: (((~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222))))=$true) | (((less_eq@SV124)@((inf@SV222)@SV246))=$false))),inference(extcnf_not_neg,[status(thm)],[1485])). 18.87/19.13 thf(1531,plain,(![SV222:a,SV246:a,SV124:a]: ((((less_eq@SV124)@SV246)=$false) | ((~ ((less_eq@SV124)@SV222))=$true) | ((~ ((~ ((less_eq@SV124)@((inf@SV222)@SV246))) | (~ (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1486])). 18.87/19.13 thf(1532,plain,(![SV324:a,SV319:a,SV200:(a>(a>a))]: (((![SY663:a]: (((SV200@((SV200@SV319)@SV324))@SY663) = ((SV200@SV319)@((SV200@SV324)@SY663))))=$true) | ((semigroup_a@SV200)=$false))),inference(extcnf_forall_pos,[status(thm)],[1487])). 18.87/19.13 thf(1533,plain,(![SV200:(a>(a>a))]: (((~ (semigroup_a@SV200))=$false) | ((((SV200@((SV200@(sK34_SY601@SV200))@(sK35_SY652@SV200)))@(sK36_SY654@SV200)) = ((SV200@(sK34_SY601@SV200))@((SV200@(sK35_SY652@SV200))@(sK36_SY654@SV200))))=$false))),inference(extcnf_or_neg,[status(thm)],[1488])). 18.87/19.13 thf(1534,plain,(![SV200:(a>(a>a))]: (((~ (![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603)))))=$false) | ((((SV200@((SV200@(sK34_SY601@SV200))@(sK35_SY652@SV200)))@(sK36_SY654@SV200)) = ((SV200@(sK34_SY601@SV200))@((SV200@(sK35_SY652@SV200))@(sK36_SY654@SV200))))=$false))),inference(extcnf_or_neg,[status(thm)],[1488])). 18.87/19.13 thf(1535,plain,(![SV103:a,SV210:a]: ((((less_eq@SV210)@SV103)=$true) | (((less_eq@SV210)@SV103)=$false) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_not_neg,[status(thm)],[1489])). 18.87/19.13 thf(1536,plain,(![SV103:a,SV210:a]: (((SV210 = SV103)=$true) | (((less_eq@SV210)@SV103)=$false) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_not_neg,[status(thm)],[1490])). 18.87/19.13 thf(1537,plain,(![SV103:a,SV210:a]: ((((less_eq@SV210)@SV103)=$true) | ((SV210 = SV103)=$false) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_not_neg,[status(thm)],[1491])). 18.87/19.13 thf(1538,plain,(![SV103:a,SV210:a]: (((SV210 = SV103)=$true) | ((SV210 = SV103)=$false) | (((less_eq@SV103)@SV210)=$false))),inference(extcnf_not_neg,[status(thm)],[1492])). 18.87/19.13 thf(1539,plain,(![SV237:a,SV325:a,SV105:(a>$o)]: ((((~ (SV105@SV325)) | ((less_eq@((sK2_Y2@SV237)@SV105))@SV325))=$true) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_forall_pos,[status(thm)],[1493])). 18.87/19.13 thf(1540,plain,(![SV237:a,SV105:(a>$o)]: (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105))))))=$true) | ((~ (SV105@SV237))=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_pos,[status(thm)],[1494])). 18.87/19.13 thf(1541,plain,(![SV237:a,SV105:(a>$o)]: (((~ (SV105@((sK1_Y2@SV237)@SV105)))=$false) | ((~ (SV105@SV237))=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_neg,[status(thm)],[1495])). 18.87/19.13 thf(1542,plain,(![SV105:(a>$o),SV237:a]: (((~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105))))=$false) | ((~ (SV105@SV237))=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_neg,[status(thm)],[1495])). 18.87/19.13 thf(1543,plain,(![SV238:a,SV211:a,SV106:a]: ((((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))=$false) | (((less_eq@SV106)@((inf@SV211)@SV238))=$false))),inference(extcnf_not_pos,[status(thm)],[1497])). 18.87/19.13 thf(1544,plain,(![SV211:a,SV238:a,SV106:a]: ((((less_eq@SV106)@SV238)=$false) | (((less_eq@SV106)@SV211)=$false) | ((~ ((~ ((less_eq@SV106)@((inf@SV211)@SV238))) | (~ (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1498])). 18.87/19.13 thf(1545,plain,(![SV212:a,SV317:(a>$o),SV108:(a>$o)]: ((((~ (SV108@(((sK3_X2@SV317)@SV212)@SV108))) | (~ (~ ((~ (![SY655:a]: ((~ (SV108@SY655)) | ((less_eq@SY655)@(((sK3_X2@SV317)@SV212)@SV108))))) | (~ (~ (SV317@(((sK3_X2@SV317)@SV212)@SV108))))))))=$false) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_not_pos,[status(thm)],[1499])). 18.87/19.13 thf(1546,plain,(![SV212:a,SV320:(a>$o),SV108:(a>$o)]: (((~ ((~ (SV108@(((sK3_X2@SV320)@SV212)@SV108))) | (~ (~ ((~ (![SY659:a]: ((~ (SV108@SY659)) | ((less_eq@SY659)@(((sK3_X2@SV320)@SV212)@SV108))))) | (~ (~ (SV320@(((sK3_X2@SV320)@SV212)@SV108)))))))))=$true) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_or_pos,[status(thm)],[1500])). 18.87/19.13 thf(1547,plain,(![SV110:(a>(a>a)),SV326:a,SV321:a]: (((((sup@SV321)@SV326) = ((SV110@SV321)@SV326))=$true) | (((less_eq@(sK22_SY360@SV110))@(sK21_X2@SV110))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_forall_pos,[status(thm)],[1501])). 18.87/19.13 thf(1548,plain,(![SV110:(a>(a>a))]: (((~ ((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110)))=$false) | ((![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_or_neg,[status(thm)],[1502])). 18.87/19.13 thf(1549,plain,(![SV110:(a>(a>a))]: (((~ (~ ((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110))))=$false) | ((![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_or_neg,[status(thm)],[1502])). 18.87/19.13 thf(1550,plain,(![SV111:a,SV239:a,SV214:a]: ((((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))=$false) | (((less_eq@((sup@SV111)@SV214))@SV239)=$false))),inference(extcnf_not_pos,[status(thm)],[1504])). 18.87/19.13 thf(1551,plain,(![SV214:a,SV239:a,SV111:a]: ((((less_eq@SV111)@SV239)=$false) | (((less_eq@SV214)@SV239)=$false) | ((~ ((~ ((less_eq@((sup@SV111)@SV214))@SV239)) | (~ (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1505])). 18.87/19.13 thf(1552,plain,(![SV256:a,SV215:a]: (((SV215 = SV256)=$true) | ((SV215 = SV256)=$false))),inference(extcnf_not_neg,[status(thm)],[1506])). 18.87/19.13 thf(1553,plain,(![SV256:a,SV215:a]: (((~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215))))=$true) | ((SV215 = SV256)=$false))),inference(extcnf_not_neg,[status(thm)],[1507])). 18.87/19.13 thf(1554,plain,(![SV256:a,SV215:a]: ((((less_eq@SV215)@SV256)=$false) | ((~ ((less_eq@SV256)@SV215))=$true) | ((~ ((~ (SV215 = SV256)) | (~ (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1508])). 18.87/19.13 thf(1555,plain,(![SV241:a,SV327:a,SV113:(a>$o)]: ((((~ (SV113@SV327)) | ((less_eq@((sK11_Y2@SV241)@SV113))@SV327))=$true) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_forall_pos,[status(thm)],[1509])). 18.87/19.13 thf(1556,plain,(![SV241:a,SV113:(a>$o)]: (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113))))))=$true) | ((~ (SV113@SV241))=$true) | ((SV113@((sK11_Y2@SV241)@SV113))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_pos,[status(thm)],[1510])). 18.87/19.13 thf(1557,plain,(![SV241:a,SV113:(a>$o)]: (((~ (SV113@((sK10_Y2@SV241)@SV113)))=$false) | ((~ (SV113@SV241))=$true) | ((((sK11_Y2@SV241)@SV113) = SV241)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_neg,[status(thm)],[1511])). 18.87/19.13 thf(1558,plain,(![SV113:(a>$o),SV241:a]: (((~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113))))=$false) | ((~ (SV113@SV241))=$true) | ((((sK11_Y2@SV241)@SV113) = SV241)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_neg,[status(thm)],[1511])). 18.87/19.13 thf(1559,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: ((((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$true) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_neg,[status(thm)],[1512])). 18.87/19.13 thf(1560,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: ((((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257)))))=$true) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_neg,[status(thm)],[1513])). 18.87/19.13 thf(1561,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ (~ ((less_eq@SV242)@SV257)))=$true) | ((~ (~ ((less_eq@SV114)@SV216)))=$true) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1514])). 18.87/19.13 thf(1562,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: (((~ (SV114 = SV242))=$true) | ((~ (SV216 = SV257))=$true) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_or_pos,[status(thm)],[1515])). 18.87/19.13 thf(1563,plain,(![SV217:a,SV318:(a>$o),SV115:(a>$o)]: ((((~ (SV115@(((sK5_X2@SV318)@SV217)@SV115))) | (~ (~ ((~ (![SY656:a]: ((~ (SV115@SY656)) | ((less_eq@(((sK5_X2@SV318)@SV217)@SV115))@SY656)))) | (~ (~ (SV318@(((sK5_X2@SV318)@SV217)@SV115))))))))=$false) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_not_pos,[status(thm)],[1516])). 18.87/19.13 thf(1564,plain,(![SV217:a,SV322:(a>$o),SV115:(a>$o)]: (((~ ((~ (SV115@(((sK5_X2@SV322)@SV217)@SV115))) | (~ (~ ((~ (![SY661:a]: ((~ (SV115@SY661)) | ((less_eq@(((sK5_X2@SV322)@SV217)@SV115))@SY661)))) | (~ (~ (SV322@(((sK5_X2@SV322)@SV217)@SV115)))))))))=$true) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_or_pos,[status(thm)],[1517])). 18.87/19.13 thf(1565,plain,(![SV258:a,SV219:a]: (((SV219 = SV258)=$true) | ((SV219 = SV258)=$false))),inference(extcnf_not_neg,[status(thm)],[1518])). 18.87/19.13 thf(1566,plain,(![SV219:a,SV258:a]: (((~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258))))=$true) | ((SV219 = SV258)=$false))),inference(extcnf_not_neg,[status(thm)],[1519])). 18.87/19.13 thf(1567,plain,(![SV219:a,SV258:a]: ((((less_eq@SV258)@SV219)=$false) | ((~ ((less_eq@SV219)@SV258))=$true) | ((~ ((~ (SV219 = SV258)) | (~ (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1520])). 18.87/19.13 thf(1568,plain,(![SV121:a,SV244:a,SV220:a]: ((((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))=$false) | (((less_eq@((sup@SV121)@SV220))@SV244)=$false))),inference(extcnf_not_pos,[status(thm)],[1522])). 18.87/19.13 thf(1569,plain,(![SV220:a,SV244:a,SV121:a]: ((((less_eq@SV121)@SV244)=$false) | (((less_eq@SV220)@SV244)=$false) | ((~ ((~ ((less_eq@((sup@SV121)@SV220))@SV244)) | (~ (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1523])). 18.87/19.13 thf(1570,plain,(![SV261:a,SV221:a]: (((SV221 = SV261)=$true) | ((SV221 = SV261)=$false))),inference(extcnf_not_neg,[status(thm)],[1524])). 18.87/19.13 thf(1571,plain,(![SV261:a,SV221:a]: (((~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221))))=$true) | ((SV221 = SV261)=$false))),inference(extcnf_not_neg,[status(thm)],[1525])). 18.87/19.13 thf(1572,plain,(![SV261:a,SV221:a]: ((((less_eq@SV221)@SV261)=$false) | ((~ ((less_eq@SV261)@SV221))=$true) | ((~ ((~ (SV221 = SV261)) | (~ (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1526])). 18.87/19.13 thf(1573,plain,(![SV123:(a>(a>a)),SV328:a,SV323:a]: (((((inf@SV323)@SV328) = ((SV123@SV323)@SV328))=$true) | (((less_eq@(sK14_X2@SV123))@(sK15_SY355@SV123))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_forall_pos,[status(thm)],[1527])). 18.87/19.13 thf(1574,plain,(![SV123:(a>(a>a))]: (((~ ((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123)))=$false) | ((![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_or_neg,[status(thm)],[1528])). 18.87/19.13 thf(1575,plain,(![SV123:(a>(a>a))]: (((~ (~ ((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123)))))=$false) | ((![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_or_neg,[status(thm)],[1528])). 18.87/19.13 thf(1576,plain,(![SV222:a,SV246:a,SV124:a]: ((((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))=$false) | (((less_eq@SV124)@((inf@SV222)@SV246))=$false))),inference(extcnf_not_pos,[status(thm)],[1530])). 18.87/19.13 thf(1577,plain,(![SV246:a,SV222:a,SV124:a]: ((((less_eq@SV124)@SV222)=$false) | (((less_eq@SV124)@SV246)=$false) | ((~ ((~ ((less_eq@SV124)@((inf@SV222)@SV246))) | (~ (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1531])). 18.87/19.13 thf(1578,plain,(![SV329:a,SV324:a,SV319:a,SV200:(a>(a>a))]: (((((SV200@((SV200@SV319)@SV324))@SV329) = ((SV200@SV319)@((SV200@SV324)@SV329)))=$true) | ((semigroup_a@SV200)=$false))),inference(extcnf_forall_pos,[status(thm)],[1532])). 18.87/19.13 thf(1579,plain,(![SV200:(a>(a>a))]: (((semigroup_a@SV200)=$true) | ((((SV200@((SV200@(sK34_SY601@SV200))@(sK35_SY652@SV200)))@(sK36_SY654@SV200)) = ((SV200@(sK34_SY601@SV200))@((SV200@(sK35_SY652@SV200))@(sK36_SY654@SV200))))=$false))),inference(extcnf_not_neg,[status(thm)],[1533])). 18.87/19.13 thf(1580,plain,(![SV200:(a>(a>a))]: (((![SY601:a,SY602:a,SY603:a]: (((SV200@((SV200@SY601)@SY602))@SY603) = ((SV200@SY601)@((SV200@SY602)@SY603))))=$true) | ((((SV200@((SV200@(sK34_SY601@SV200))@(sK35_SY652@SV200)))@(sK36_SY654@SV200)) = ((SV200@(sK34_SY601@SV200))@((SV200@(sK35_SY652@SV200))@(sK36_SY654@SV200))))=$false))),inference(extcnf_not_neg,[status(thm)],[1534])). 18.87/19.13 thf(1581,plain,(![SV237:a,SV325:a,SV105:(a>$o)]: (((~ (SV105@SV325))=$true) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_pos,[status(thm)],[1539])). 18.87/19.13 thf(1582,plain,(![SV237:a,SV105:(a>$o)]: ((((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))=$false) | ((~ (SV105@SV237))=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1540])). 18.87/19.13 thf(1583,plain,(![SV237:a,SV105:(a>$o)]: (((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((~ (SV105@SV237))=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_neg,[status(thm)],[1541])). 18.87/19.13 thf(1584,plain,(![SV105:(a>$o),SV237:a]: (((~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))=$true) | ((~ (SV105@SV237))=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_neg,[status(thm)],[1542])). 18.87/19.13 thf(1585,plain,(![SV238:a,SV211:a,SV106:a]: (((~ ((less_eq@SV106)@SV211))=$false) | (((less_eq@SV106)@((inf@SV211)@SV238))=$false))),inference(extcnf_or_neg,[status(thm)],[1543])). 18.87/19.13 thf(1586,plain,(![SV211:a,SV238:a,SV106:a]: (((~ ((less_eq@SV106)@SV238))=$false) | (((less_eq@SV106)@((inf@SV211)@SV238))=$false))),inference(extcnf_or_neg,[status(thm)],[1543])). 18.87/19.13 thf(1587,plain,(![SV238:a,SV211:a,SV106:a]: ((((~ ((less_eq@SV106)@((inf@SV211)@SV238))) | (~ (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238))))))=$false) | (((less_eq@SV106)@SV211)=$false) | (((less_eq@SV106)@SV238)=$false))),inference(extcnf_not_pos,[status(thm)],[1544])). 18.87/19.13 thf(1588,plain,(![SV212:a,SV317:(a>$o),SV108:(a>$o)]: (((~ (SV108@(((sK3_X2@SV317)@SV212)@SV108)))=$false) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_or_neg,[status(thm)],[1545])). 18.87/19.13 thf(1589,plain,(![SV212:a,SV317:(a>$o),SV108:(a>$o)]: (((~ (~ ((~ (![SY655:a]: ((~ (SV108@SY655)) | ((less_eq@SY655)@(((sK3_X2@SV317)@SV212)@SV108))))) | (~ (~ (SV317@(((sK3_X2@SV317)@SV212)@SV108)))))))=$false) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_or_neg,[status(thm)],[1545])). 18.87/19.13 thf(1590,plain,(![SV212:a,SV320:(a>$o),SV108:(a>$o)]: ((((~ (SV108@(((sK3_X2@SV320)@SV212)@SV108))) | (~ (~ ((~ (![SY659:a]: ((~ (SV108@SY659)) | ((less_eq@SY659)@(((sK3_X2@SV320)@SV212)@SV108))))) | (~ (~ (SV320@(((sK3_X2@SV320)@SV212)@SV108))))))))=$false) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_not_pos,[status(thm)],[1546])). 18.87/19.13 thf(1591,plain,(![SV110:(a>(a>a))]: ((((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110))=$true) | ((![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_not_neg,[status(thm)],[1548])). 18.87/19.13 thf(1592,plain,(![SV110:(a>(a>a))]: (((~ ((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110)))=$true) | ((![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_not_neg,[status(thm)],[1549])). 18.87/19.13 thf(1593,plain,(![SV111:a,SV239:a,SV214:a]: (((~ ((less_eq@SV214)@SV239))=$false) | (((less_eq@((sup@SV111)@SV214))@SV239)=$false))),inference(extcnf_or_neg,[status(thm)],[1550])). 18.87/19.13 thf(1594,plain,(![SV214:a,SV239:a,SV111:a]: (((~ ((less_eq@SV111)@SV239))=$false) | (((less_eq@((sup@SV111)@SV214))@SV239)=$false))),inference(extcnf_or_neg,[status(thm)],[1550])). 18.87/19.13 thf(1595,plain,(![SV239:a,SV214:a,SV111:a]: ((((~ ((less_eq@((sup@SV111)@SV214))@SV239)) | (~ (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239))))))=$false) | (((less_eq@SV214)@SV239)=$false) | (((less_eq@SV111)@SV239)=$false))),inference(extcnf_not_pos,[status(thm)],[1551])). 18.87/19.13 thf(1596,plain,(![SV256:a,SV215:a]: ((((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))=$false) | ((SV215 = SV256)=$false))),inference(extcnf_not_pos,[status(thm)],[1553])). 18.87/19.13 thf(1597,plain,(![SV215:a,SV256:a]: ((((less_eq@SV256)@SV215)=$false) | (((less_eq@SV215)@SV256)=$false) | ((~ ((~ (SV215 = SV256)) | (~ (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1554])). 18.87/19.13 thf(1598,plain,(![SV241:a,SV327:a,SV113:(a>$o)]: (((~ (SV113@SV327))=$true) | (((less_eq@((sK11_Y2@SV241)@SV113))@SV327)=$true) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_pos,[status(thm)],[1555])). 18.87/19.13 thf(1599,plain,(![SV241:a,SV113:(a>$o)]: ((((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))=$false) | ((~ (SV113@SV241))=$true) | ((SV113@((sK11_Y2@SV241)@SV113))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1556])). 18.87/19.13 thf(1600,plain,(![SV241:a,SV113:(a>$o)]: (((SV113@((sK10_Y2@SV241)@SV113))=$true) | ((~ (SV113@SV241))=$true) | ((((sK11_Y2@SV241)@SV113) = SV241)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_neg,[status(thm)],[1557])). 18.87/19.13 thf(1601,plain,(![SV113:(a>$o),SV241:a]: (((~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))=$true) | ((~ (SV113@SV241))=$true) | ((((sK11_Y2@SV241)@SV113) = SV241)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_neg,[status(thm)],[1558])). 18.87/19.13 thf(1602,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216)))))=$true) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_or_pos,[status(thm)],[1560])). 18.87/19.13 thf(1603,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ ((less_eq@SV242)@SV257))=$false) | ((~ (~ ((less_eq@SV114)@SV216)))=$true) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1561])). 18.87/19.13 thf(1604,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: (((SV114 = SV242)=$false) | ((~ (SV216 = SV257))=$true) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1562])). 18.87/19.13 thf(1605,plain,(![SV217:a,SV318:(a>$o),SV115:(a>$o)]: (((~ (SV115@(((sK5_X2@SV318)@SV217)@SV115)))=$false) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_or_neg,[status(thm)],[1563])). 18.87/19.13 thf(1606,plain,(![SV217:a,SV318:(a>$o),SV115:(a>$o)]: (((~ (~ ((~ (![SY656:a]: ((~ (SV115@SY656)) | ((less_eq@(((sK5_X2@SV318)@SV217)@SV115))@SY656)))) | (~ (~ (SV318@(((sK5_X2@SV318)@SV217)@SV115)))))))=$false) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_or_neg,[status(thm)],[1563])). 18.87/19.13 thf(1607,plain,(![SV217:a,SV322:(a>$o),SV115:(a>$o)]: ((((~ (SV115@(((sK5_X2@SV322)@SV217)@SV115))) | (~ (~ ((~ (![SY661:a]: ((~ (SV115@SY661)) | ((less_eq@(((sK5_X2@SV322)@SV217)@SV115))@SY661)))) | (~ (~ (SV322@(((sK5_X2@SV322)@SV217)@SV115))))))))=$false) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_not_pos,[status(thm)],[1564])). 18.87/19.13 thf(1608,plain,(![SV219:a,SV258:a]: ((((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))=$false) | ((SV219 = SV258)=$false))),inference(extcnf_not_pos,[status(thm)],[1566])). 18.87/19.13 thf(1609,plain,(![SV258:a,SV219:a]: ((((less_eq@SV219)@SV258)=$false) | (((less_eq@SV258)@SV219)=$false) | ((~ ((~ (SV219 = SV258)) | (~ (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1567])). 18.87/19.13 thf(1610,plain,(![SV121:a,SV244:a,SV220:a]: (((~ ((less_eq@SV220)@SV244))=$false) | (((less_eq@((sup@SV121)@SV220))@SV244)=$false))),inference(extcnf_or_neg,[status(thm)],[1568])). 18.87/19.13 thf(1611,plain,(![SV220:a,SV244:a,SV121:a]: (((~ ((less_eq@SV121)@SV244))=$false) | (((less_eq@((sup@SV121)@SV220))@SV244)=$false))),inference(extcnf_or_neg,[status(thm)],[1568])). 18.87/19.13 thf(1612,plain,(![SV244:a,SV220:a,SV121:a]: ((((~ ((less_eq@((sup@SV121)@SV220))@SV244)) | (~ (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244))))))=$false) | (((less_eq@SV220)@SV244)=$false) | (((less_eq@SV121)@SV244)=$false))),inference(extcnf_not_pos,[status(thm)],[1569])). 18.87/19.13 thf(1613,plain,(![SV261:a,SV221:a]: ((((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))=$false) | ((SV221 = SV261)=$false))),inference(extcnf_not_pos,[status(thm)],[1571])). 18.87/19.13 thf(1614,plain,(![SV221:a,SV261:a]: ((((less_eq@SV261)@SV221)=$false) | (((less_eq@SV221)@SV261)=$false) | ((~ ((~ (SV221 = SV261)) | (~ (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1572])). 18.87/19.13 thf(1615,plain,(![SV123:(a>(a>a))]: ((((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123))=$true) | ((![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_not_neg,[status(thm)],[1574])). 18.87/19.13 thf(1616,plain,(![SV123:(a>(a>a))]: (((~ ((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123))))=$true) | ((![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_not_neg,[status(thm)],[1575])). 18.87/19.13 thf(1617,plain,(![SV222:a,SV246:a,SV124:a]: (((~ ((less_eq@SV124)@SV246))=$false) | (((less_eq@SV124)@((inf@SV222)@SV246))=$false))),inference(extcnf_or_neg,[status(thm)],[1576])). 18.87/19.13 thf(1618,plain,(![SV246:a,SV222:a,SV124:a]: (((~ ((less_eq@SV124)@SV222))=$false) | (((less_eq@SV124)@((inf@SV222)@SV246))=$false))),inference(extcnf_or_neg,[status(thm)],[1576])). 18.87/19.13 thf(1619,plain,(![SV246:a,SV222:a,SV124:a]: ((((~ ((less_eq@SV124)@((inf@SV222)@SV246))) | (~ (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222))))))=$false) | (((less_eq@SV124)@SV246)=$false) | (((less_eq@SV124)@SV222)=$false))),inference(extcnf_not_pos,[status(thm)],[1577])). 18.87/19.13 thf(1620,plain,(![SV330:a,SV200:(a>(a>a))]: (((![SY664:a,SY665:a]: (((SV200@((SV200@SV330)@SY664))@SY665) = ((SV200@SV330)@((SV200@SY664)@SY665))))=$true) | ((((SV200@((SV200@(sK34_SY601@SV200))@(sK35_SY652@SV200)))@(sK36_SY654@SV200)) = ((SV200@(sK34_SY601@SV200))@((SV200@(sK35_SY652@SV200))@(sK36_SY654@SV200))))=$false))),inference(extcnf_forall_pos,[status(thm)],[1580])). 18.87/19.13 thf(1621,plain,(![SV237:a,SV325:a,SV105:(a>$o)]: (((SV105@SV325)=$false) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))) | (~ (SV105@SV237)))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1581])). 18.87/19.13 thf(1622,plain,(![SV237:a,SV105:(a>$o)]: (((~ (SV105@((sK1_Y2@SV237)@SV105)))=$false) | ((~ (SV105@SV237))=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_neg,[status(thm)],[1582])). 18.87/19.13 thf(1623,plain,(![SV105:(a>$o),SV237:a]: (((~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105))))=$false) | ((~ (SV105@SV237))=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_neg,[status(thm)],[1582])). 18.87/19.13 thf(1624,plain,(![SV237:a,SV105:(a>$o)]: (((SV105@SV237)=$false) | ((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1583])). 18.87/19.13 thf(1625,plain,(![SV105:(a>$o),SV237:a]: ((((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((~ (SV105@SV237))=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1584])). 18.87/19.13 thf(1626,plain,(![SV238:a,SV211:a,SV106:a]: ((((less_eq@SV106)@SV211)=$true) | (((less_eq@SV106)@((inf@SV211)@SV238))=$false))),inference(extcnf_not_neg,[status(thm)],[1585])). 18.87/19.13 thf(1627,plain,(![SV211:a,SV238:a,SV106:a]: ((((less_eq@SV106)@SV238)=$true) | (((less_eq@SV106)@((inf@SV211)@SV238))=$false))),inference(extcnf_not_neg,[status(thm)],[1586])). 18.87/19.13 thf(1628,plain,(![SV238:a,SV211:a,SV106:a]: (((~ ((less_eq@SV106)@((inf@SV211)@SV238)))=$false) | (((less_eq@SV106)@SV211)=$false) | (((less_eq@SV106)@SV238)=$false))),inference(extcnf_or_neg,[status(thm)],[1587])). 18.87/19.13 thf(1629,plain,(![SV238:a,SV211:a,SV106:a]: (((~ (~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))))=$false) | (((less_eq@SV106)@SV211)=$false) | (((less_eq@SV106)@SV238)=$false))),inference(extcnf_or_neg,[status(thm)],[1587])). 18.87/19.13 thf(1630,plain,(![SV212:a,SV317:(a>$o),SV108:(a>$o)]: (((SV108@(((sK3_X2@SV317)@SV212)@SV108))=$true) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_not_neg,[status(thm)],[1588])). 18.87/19.13 thf(1631,plain,(![SV212:a,SV317:(a>$o),SV108:(a>$o)]: (((~ ((~ (![SY655:a]: ((~ (SV108@SY655)) | ((less_eq@SY655)@(((sK3_X2@SV317)@SV212)@SV108))))) | (~ (~ (SV317@(((sK3_X2@SV317)@SV212)@SV108))))))=$true) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_not_neg,[status(thm)],[1589])). 18.87/19.13 thf(1632,plain,(![SV212:a,SV320:(a>$o),SV108:(a>$o)]: (((~ (SV108@(((sK3_X2@SV320)@SV212)@SV108)))=$false) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_or_neg,[status(thm)],[1590])). 18.87/19.13 thf(1633,plain,(![SV212:a,SV320:(a>$o),SV108:(a>$o)]: (((~ (~ ((~ (![SY659:a]: ((~ (SV108@SY659)) | ((less_eq@SY659)@(((sK3_X2@SV320)@SV212)@SV108))))) | (~ (~ (SV320@(((sK3_X2@SV320)@SV212)@SV108)))))))=$false) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_or_neg,[status(thm)],[1590])). 18.87/19.13 thf(1634,plain,(![SV110:(a>(a>a)),SV331:a]: (((![SY666:a]: (((sup@SV331)@SY666) = ((SV110@SV331)@SY666)))=$true) | (((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_forall_pos,[status(thm)],[1591])). 18.87/19.13 thf(1635,plain,(![SV110:(a>(a>a))]: ((((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110))=$false) | ((![SY527:a,SY528:a]: (((sup@SY527)@SY528) = ((SV110@SY527)@SY528)))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_not_pos,[status(thm)],[1592])). 18.87/19.13 thf(1636,plain,(![SV111:a,SV239:a,SV214:a]: ((((less_eq@SV214)@SV239)=$true) | (((less_eq@((sup@SV111)@SV214))@SV239)=$false))),inference(extcnf_not_neg,[status(thm)],[1593])). 18.87/19.13 thf(1637,plain,(![SV214:a,SV239:a,SV111:a]: ((((less_eq@SV111)@SV239)=$true) | (((less_eq@((sup@SV111)@SV214))@SV239)=$false))),inference(extcnf_not_neg,[status(thm)],[1594])). 18.87/19.13 thf(1638,plain,(![SV239:a,SV214:a,SV111:a]: (((~ ((less_eq@((sup@SV111)@SV214))@SV239))=$false) | (((less_eq@SV214)@SV239)=$false) | (((less_eq@SV111)@SV239)=$false))),inference(extcnf_or_neg,[status(thm)],[1595])). 18.87/19.13 thf(1639,plain,(![SV111:a,SV239:a,SV214:a]: (((~ (~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))))=$false) | (((less_eq@SV214)@SV239)=$false) | (((less_eq@SV111)@SV239)=$false))),inference(extcnf_or_neg,[status(thm)],[1595])). 18.87/19.13 thf(1640,plain,(![SV256:a,SV215:a]: (((~ ((less_eq@SV215)@SV256))=$false) | ((SV215 = SV256)=$false))),inference(extcnf_or_neg,[status(thm)],[1596])). 18.87/19.13 thf(1641,plain,(![SV215:a,SV256:a]: (((~ ((less_eq@SV256)@SV215))=$false) | ((SV215 = SV256)=$false))),inference(extcnf_or_neg,[status(thm)],[1596])). 18.87/19.13 thf(1642,plain,(![SV256:a,SV215:a]: ((((~ (SV215 = SV256)) | (~ (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215))))))=$false) | (((less_eq@SV215)@SV256)=$false) | (((less_eq@SV256)@SV215)=$false))),inference(extcnf_not_pos,[status(thm)],[1597])). 18.87/19.13 thf(1643,plain,(![SV241:a,SV327:a,SV113:(a>$o)]: (((SV113@SV327)=$false) | (((less_eq@((sK11_Y2@SV241)@SV113))@SV327)=$true) | (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))) | (~ (SV113@SV241)))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1598])). 18.87/19.13 thf(1644,plain,(![SV241:a,SV113:(a>$o)]: (((~ (SV113@((sK10_Y2@SV241)@SV113)))=$false) | ((~ (SV113@SV241))=$true) | ((SV113@((sK11_Y2@SV241)@SV113))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_neg,[status(thm)],[1599])). 18.87/19.13 thf(1645,plain,(![SV113:(a>$o),SV241:a]: (((~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113))))=$false) | ((~ (SV113@SV241))=$true) | ((SV113@((sK11_Y2@SV241)@SV113))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_neg,[status(thm)],[1599])). 18.87/19.13 thf(1646,plain,(![SV241:a,SV113:(a>$o)]: (((SV113@SV241)=$false) | ((SV113@((sK10_Y2@SV241)@SV113))=$true) | ((((sK11_Y2@SV241)@SV113) = SV241)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1600])). 18.87/19.13 thf(1647,plain,(![SV113:(a>$o),SV241:a]: ((((less_eq@SV241)@((sK10_Y2@SV241)@SV113))=$false) | ((~ (SV113@SV241))=$true) | ((((sK11_Y2@SV241)@SV113) = SV241)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1601])). 18.87/19.13 thf(1648,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: ((((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_pos,[status(thm)],[1602])). 18.87/19.13 thf(1649,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: ((((less_eq@SV242)@SV257)=$true) | ((~ (~ ((less_eq@SV114)@SV216)))=$true) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_not_neg,[status(thm)],[1603])). 18.87/19.13 thf(1650,plain,(![SV242:a,SV114:a,SV257:a,SV216:a]: (((SV216 = SV257)=$false) | ((SV114 = SV242)=$false) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1604])). 18.87/19.13 thf(1651,plain,(![SV217:a,SV318:(a>$o),SV115:(a>$o)]: (((SV115@(((sK5_X2@SV318)@SV217)@SV115))=$true) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_not_neg,[status(thm)],[1605])). 18.87/19.13 thf(1652,plain,(![SV217:a,SV318:(a>$o),SV115:(a>$o)]: (((~ ((~ (![SY656:a]: ((~ (SV115@SY656)) | ((less_eq@(((sK5_X2@SV318)@SV217)@SV115))@SY656)))) | (~ (~ (SV318@(((sK5_X2@SV318)@SV217)@SV115))))))=$true) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_not_neg,[status(thm)],[1606])). 18.87/19.13 thf(1653,plain,(![SV217:a,SV322:(a>$o),SV115:(a>$o)]: (((~ (SV115@(((sK5_X2@SV322)@SV217)@SV115)))=$false) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_or_neg,[status(thm)],[1607])). 18.87/19.13 thf(1654,plain,(![SV217:a,SV322:(a>$o),SV115:(a>$o)]: (((~ (~ ((~ (![SY661:a]: ((~ (SV115@SY661)) | ((less_eq@(((sK5_X2@SV322)@SV217)@SV115))@SY661)))) | (~ (~ (SV322@(((sK5_X2@SV322)@SV217)@SV115)))))))=$false) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_or_neg,[status(thm)],[1607])). 18.87/19.13 thf(1655,plain,(![SV219:a,SV258:a]: (((~ ((less_eq@SV258)@SV219))=$false) | ((SV219 = SV258)=$false))),inference(extcnf_or_neg,[status(thm)],[1608])). 18.87/19.13 thf(1656,plain,(![SV258:a,SV219:a]: (((~ ((less_eq@SV219)@SV258))=$false) | ((SV219 = SV258)=$false))),inference(extcnf_or_neg,[status(thm)],[1608])). 18.87/19.13 thf(1657,plain,(![SV258:a,SV219:a]: ((((~ (SV219 = SV258)) | (~ (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258))))))=$false) | (((less_eq@SV258)@SV219)=$false) | (((less_eq@SV219)@SV258)=$false))),inference(extcnf_not_pos,[status(thm)],[1609])). 18.87/19.13 thf(1658,plain,(![SV121:a,SV244:a,SV220:a]: ((((less_eq@SV220)@SV244)=$true) | (((less_eq@((sup@SV121)@SV220))@SV244)=$false))),inference(extcnf_not_neg,[status(thm)],[1610])). 18.87/19.13 thf(1659,plain,(![SV220:a,SV244:a,SV121:a]: ((((less_eq@SV121)@SV244)=$true) | (((less_eq@((sup@SV121)@SV220))@SV244)=$false))),inference(extcnf_not_neg,[status(thm)],[1611])). 18.87/19.13 thf(1660,plain,(![SV244:a,SV220:a,SV121:a]: (((~ ((less_eq@((sup@SV121)@SV220))@SV244))=$false) | (((less_eq@SV220)@SV244)=$false) | (((less_eq@SV121)@SV244)=$false))),inference(extcnf_or_neg,[status(thm)],[1612])). 18.87/19.13 thf(1661,plain,(![SV121:a,SV244:a,SV220:a]: (((~ (~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))))=$false) | (((less_eq@SV220)@SV244)=$false) | (((less_eq@SV121)@SV244)=$false))),inference(extcnf_or_neg,[status(thm)],[1612])). 18.87/19.13 thf(1662,plain,(![SV261:a,SV221:a]: (((~ ((less_eq@SV221)@SV261))=$false) | ((SV221 = SV261)=$false))),inference(extcnf_or_neg,[status(thm)],[1613])). 18.87/19.13 thf(1663,plain,(![SV221:a,SV261:a]: (((~ ((less_eq@SV261)@SV221))=$false) | ((SV221 = SV261)=$false))),inference(extcnf_or_neg,[status(thm)],[1613])). 18.87/19.13 thf(1664,plain,(![SV261:a,SV221:a]: ((((~ (SV221 = SV261)) | (~ (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221))))))=$false) | (((less_eq@SV221)@SV261)=$false) | (((less_eq@SV261)@SV221)=$false))),inference(extcnf_not_pos,[status(thm)],[1614])). 18.87/19.13 thf(1665,plain,(![SV123:(a>(a>a)),SV332:a]: (((![SY667:a]: (((inf@SV332)@SY667) = ((SV123@SV332)@SY667)))=$true) | (((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_forall_pos,[status(thm)],[1615])). 18.87/19.13 thf(1666,plain,(![SV123:(a>(a>a))]: ((((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123)))=$false) | ((![SY560:a,SY561:a]: (((inf@SY560)@SY561) = ((SV123@SY560)@SY561)))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_not_pos,[status(thm)],[1616])). 18.87/19.13 thf(1667,plain,(![SV222:a,SV246:a,SV124:a]: ((((less_eq@SV124)@SV246)=$true) | (((less_eq@SV124)@((inf@SV222)@SV246))=$false))),inference(extcnf_not_neg,[status(thm)],[1617])). 18.87/19.13 thf(1668,plain,(![SV246:a,SV222:a,SV124:a]: ((((less_eq@SV124)@SV222)=$true) | (((less_eq@SV124)@((inf@SV222)@SV246))=$false))),inference(extcnf_not_neg,[status(thm)],[1618])). 18.87/19.13 thf(1669,plain,(![SV246:a,SV222:a,SV124:a]: (((~ ((less_eq@SV124)@((inf@SV222)@SV246)))=$false) | (((less_eq@SV124)@SV246)=$false) | (((less_eq@SV124)@SV222)=$false))),inference(extcnf_or_neg,[status(thm)],[1619])). 18.87/19.13 thf(1670,plain,(![SV222:a,SV246:a,SV124:a]: (((~ (~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))))=$false) | (((less_eq@SV124)@SV246)=$false) | (((less_eq@SV124)@SV222)=$false))),inference(extcnf_or_neg,[status(thm)],[1619])). 18.87/19.13 thf(1671,plain,(![SV333:a,SV330:a,SV200:(a>(a>a))]: (((![SY668:a]: (((SV200@((SV200@SV330)@SV333))@SY668) = ((SV200@SV330)@((SV200@SV333)@SY668))))=$true) | ((((SV200@((SV200@(sK34_SY601@SV200))@(sK35_SY652@SV200)))@(sK36_SY654@SV200)) = ((SV200@(sK34_SY601@SV200))@((SV200@(sK35_SY652@SV200))@(sK36_SY654@SV200))))=$false))),inference(extcnf_forall_pos,[status(thm)],[1620])). 18.87/19.13 thf(1672,plain,(![SV325:a,SV237:a,SV105:(a>$o)]: (((~ ((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105))))))=$true) | ((~ (SV105@SV237))=$true) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | ((SV105@SV325)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_pos,[status(thm)],[1621])). 18.87/19.13 thf(1673,plain,(![SV237:a,SV105:(a>$o)]: (((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((~ (SV105@SV237))=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_neg,[status(thm)],[1622])). 18.87/19.13 thf(1674,plain,(![SV105:(a>$o),SV237:a]: (((~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))=$true) | ((~ (SV105@SV237))=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_neg,[status(thm)],[1623])). 18.87/19.13 thf(1675,plain,(![SV237:a,SV334:a,SV105:(a>$o)]: ((((~ (SV105@SV334)) | ((less_eq@((least_a@less_eq)@SV105))@SV334))=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | ((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((SV105@SV237)=$false))),inference(extcnf_forall_pos,[status(thm)],[1624])). 18.87/19.13 thf(1676,plain,(![SV237:a,SV105:(a>$o)]: (((SV105@SV237)=$false) | (((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1625])). 18.87/19.13 thf(1677,plain,(![SV238:a,SV211:a,SV106:a]: ((((less_eq@SV106)@((inf@SV211)@SV238))=$true) | (((less_eq@SV106)@SV211)=$false) | (((less_eq@SV106)@SV238)=$false))),inference(extcnf_not_neg,[status(thm)],[1628])). 18.87/19.13 thf(1678,plain,(![SV238:a,SV211:a,SV106:a]: (((~ ((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238))))=$true) | (((less_eq@SV106)@SV211)=$false) | (((less_eq@SV106)@SV238)=$false))),inference(extcnf_not_neg,[status(thm)],[1629])). 18.87/19.13 thf(1679,plain,(![SV212:a,SV317:(a>$o),SV108:(a>$o)]: ((((~ (![SY655:a]: ((~ (SV108@SY655)) | ((less_eq@SY655)@(((sK3_X2@SV317)@SV212)@SV108))))) | (~ (~ (SV317@(((sK3_X2@SV317)@SV212)@SV108)))))=$false) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_not_pos,[status(thm)],[1631])). 18.87/19.13 thf(1680,plain,(![SV212:a,SV320:(a>$o),SV108:(a>$o)]: (((SV108@(((sK3_X2@SV320)@SV212)@SV108))=$true) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_not_neg,[status(thm)],[1632])). 18.87/19.13 thf(1681,plain,(![SV212:a,SV320:(a>$o),SV108:(a>$o)]: (((~ ((~ (![SY659:a]: ((~ (SV108@SY659)) | ((less_eq@SY659)@(((sK3_X2@SV320)@SV212)@SV108))))) | (~ (~ (SV320@(((sK3_X2@SV320)@SV212)@SV108))))))=$true) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_not_neg,[status(thm)],[1633])). 18.87/19.13 thf(1682,plain,(![SV110:(a>(a>a)),SV335:a,SV331:a]: (((((sup@SV331)@SV335) = ((SV110@SV331)@SV335))=$true) | (((less_eq@(sK23_SY362@SV110))@(sK21_X2@SV110))=$true) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_forall_pos,[status(thm)],[1634])). 18.87/19.13 thf(1683,plain,(![SV110:(a>(a>a)),SV336:a]: (((![SY669:a]: (((sup@SV336)@SY669) = ((SV110@SV336)@SY669)))=$true) | (((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110))=$false) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_forall_pos,[status(thm)],[1635])). 18.87/19.13 thf(1684,plain,(![SV239:a,SV214:a,SV111:a]: ((((less_eq@((sup@SV111)@SV214))@SV239)=$true) | (((less_eq@SV214)@SV239)=$false) | (((less_eq@SV111)@SV239)=$false))),inference(extcnf_not_neg,[status(thm)],[1638])). 18.87/19.13 thf(1685,plain,(![SV111:a,SV239:a,SV214:a]: (((~ ((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239))))=$true) | (((less_eq@SV214)@SV239)=$false) | (((less_eq@SV111)@SV239)=$false))),inference(extcnf_not_neg,[status(thm)],[1639])). 18.87/19.13 thf(1686,plain,(![SV256:a,SV215:a]: ((((less_eq@SV215)@SV256)=$true) | ((SV215 = SV256)=$false))),inference(extcnf_not_neg,[status(thm)],[1640])). 18.87/19.13 thf(1687,plain,(![SV215:a,SV256:a]: ((((less_eq@SV256)@SV215)=$true) | ((SV215 = SV256)=$false))),inference(extcnf_not_neg,[status(thm)],[1641])). 18.87/19.13 thf(1688,plain,(![SV256:a,SV215:a]: (((~ (SV215 = SV256))=$false) | (((less_eq@SV215)@SV256)=$false) | (((less_eq@SV256)@SV215)=$false))),inference(extcnf_or_neg,[status(thm)],[1642])). 18.87/19.13 thf(1689,plain,(![SV256:a,SV215:a]: (((~ (~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))))=$false) | (((less_eq@SV215)@SV256)=$false) | (((less_eq@SV256)@SV215)=$false))),inference(extcnf_or_neg,[status(thm)],[1642])). 18.87/19.13 thf(1690,plain,(![SV327:a,SV241:a,SV113:(a>$o)]: (((~ ((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113))))))=$true) | ((~ (SV113@SV241))=$true) | (((less_eq@((sK11_Y2@SV241)@SV113))@SV327)=$true) | ((SV113@SV327)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_pos,[status(thm)],[1643])). 18.87/19.13 thf(1691,plain,(![SV241:a,SV113:(a>$o)]: (((SV113@((sK10_Y2@SV241)@SV113))=$true) | ((~ (SV113@SV241))=$true) | ((SV113@((sK11_Y2@SV241)@SV113))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_neg,[status(thm)],[1644])). 18.87/19.13 thf(1692,plain,(![SV113:(a>$o),SV241:a]: (((~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))=$true) | ((~ (SV113@SV241))=$true) | ((SV113@((sK11_Y2@SV241)@SV113))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_neg,[status(thm)],[1645])). 18.87/19.13 thf(1693,plain,(![SV241:a,SV113:(a>$o)]: (((SV113@SV241)=$false) | (((less_eq@SV241)@((sK10_Y2@SV241)@SV113))=$false) | ((((sK11_Y2@SV241)@SV113) = SV241)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1647])). 18.87/19.13 thf(1694,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ (~ ((less_eq@SV242)@SV257)))=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_or_neg,[status(thm)],[1648])). 18.87/19.13 thf(1695,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((~ (~ ((less_eq@SV114)@SV216)))=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_or_neg,[status(thm)],[1648])). 18.87/19.13 thf(1696,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((~ ((less_eq@SV114)@SV216))=$false) | (((less_eq@SV242)@SV257)=$true) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[1649])). 18.87/19.13 thf(1697,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: ((((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257)))))))=$false) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_pos,[status(thm)],[1650])). 18.87/19.13 thf(1698,plain,(![SV217:a,SV318:(a>$o),SV115:(a>$o)]: ((((~ (![SY656:a]: ((~ (SV115@SY656)) | ((less_eq@(((sK5_X2@SV318)@SV217)@SV115))@SY656)))) | (~ (~ (SV318@(((sK5_X2@SV318)@SV217)@SV115)))))=$false) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_not_pos,[status(thm)],[1652])). 18.87/19.13 thf(1699,plain,(![SV217:a,SV322:(a>$o),SV115:(a>$o)]: (((SV115@(((sK5_X2@SV322)@SV217)@SV115))=$true) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_not_neg,[status(thm)],[1653])). 18.87/19.13 thf(1700,plain,(![SV217:a,SV322:(a>$o),SV115:(a>$o)]: (((~ ((~ (![SY661:a]: ((~ (SV115@SY661)) | ((less_eq@(((sK5_X2@SV322)@SV217)@SV115))@SY661)))) | (~ (~ (SV322@(((sK5_X2@SV322)@SV217)@SV115))))))=$true) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_not_neg,[status(thm)],[1654])). 18.87/19.13 thf(1701,plain,(![SV219:a,SV258:a]: ((((less_eq@SV258)@SV219)=$true) | ((SV219 = SV258)=$false))),inference(extcnf_not_neg,[status(thm)],[1655])). 18.87/19.13 thf(1702,plain,(![SV258:a,SV219:a]: ((((less_eq@SV219)@SV258)=$true) | ((SV219 = SV258)=$false))),inference(extcnf_not_neg,[status(thm)],[1656])). 18.87/19.13 thf(1703,plain,(![SV258:a,SV219:a]: (((~ (SV219 = SV258))=$false) | (((less_eq@SV258)@SV219)=$false) | (((less_eq@SV219)@SV258)=$false))),inference(extcnf_or_neg,[status(thm)],[1657])). 18.87/19.13 thf(1704,plain,(![SV219:a,SV258:a]: (((~ (~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))))=$false) | (((less_eq@SV258)@SV219)=$false) | (((less_eq@SV219)@SV258)=$false))),inference(extcnf_or_neg,[status(thm)],[1657])). 18.87/19.13 thf(1705,plain,(![SV244:a,SV220:a,SV121:a]: ((((less_eq@((sup@SV121)@SV220))@SV244)=$true) | (((less_eq@SV220)@SV244)=$false) | (((less_eq@SV121)@SV244)=$false))),inference(extcnf_not_neg,[status(thm)],[1660])). 18.87/19.13 thf(1706,plain,(![SV121:a,SV244:a,SV220:a]: (((~ ((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244))))=$true) | (((less_eq@SV220)@SV244)=$false) | (((less_eq@SV121)@SV244)=$false))),inference(extcnf_not_neg,[status(thm)],[1661])). 18.87/19.13 thf(1707,plain,(![SV261:a,SV221:a]: ((((less_eq@SV221)@SV261)=$true) | ((SV221 = SV261)=$false))),inference(extcnf_not_neg,[status(thm)],[1662])). 18.87/19.13 thf(1708,plain,(![SV221:a,SV261:a]: ((((less_eq@SV261)@SV221)=$true) | ((SV221 = SV261)=$false))),inference(extcnf_not_neg,[status(thm)],[1663])). 18.87/19.13 thf(1709,plain,(![SV261:a,SV221:a]: (((~ (SV221 = SV261))=$false) | (((less_eq@SV221)@SV261)=$false) | (((less_eq@SV261)@SV221)=$false))),inference(extcnf_or_neg,[status(thm)],[1664])). 18.87/19.13 thf(1710,plain,(![SV261:a,SV221:a]: (((~ (~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))))=$false) | (((less_eq@SV221)@SV261)=$false) | (((less_eq@SV261)@SV221)=$false))),inference(extcnf_or_neg,[status(thm)],[1664])). 18.87/19.13 thf(1711,plain,(![SV123:(a>(a>a)),SV337:a,SV332:a]: (((((inf@SV332)@SV337) = ((SV123@SV332)@SV337))=$true) | (((less_eq@(sK14_X2@SV123))@(sK16_SY357@SV123))=$true) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_forall_pos,[status(thm)],[1665])). 18.87/19.13 thf(1712,plain,(![SV123:(a>(a>a)),SV338:a]: (((![SY670:a]: (((inf@SV338)@SY670) = ((SV123@SV338)@SY670)))=$true) | (((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123)))=$false) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_forall_pos,[status(thm)],[1666])). 18.87/19.13 thf(1713,plain,(![SV246:a,SV222:a,SV124:a]: ((((less_eq@SV124)@((inf@SV222)@SV246))=$true) | (((less_eq@SV124)@SV246)=$false) | (((less_eq@SV124)@SV222)=$false))),inference(extcnf_not_neg,[status(thm)],[1669])). 18.87/19.13 thf(1714,plain,(![SV222:a,SV246:a,SV124:a]: (((~ ((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222))))=$true) | (((less_eq@SV124)@SV246)=$false) | (((less_eq@SV124)@SV222)=$false))),inference(extcnf_not_neg,[status(thm)],[1670])). 18.87/19.13 thf(1715,plain,(![SV339:a,SV333:a,SV330:a,SV200:(a>(a>a))]: (((((SV200@((SV200@SV330)@SV333))@SV339) = ((SV200@SV330)@((SV200@SV333)@SV339)))=$true) | ((((SV200@((SV200@(sK34_SY601@SV200))@(sK35_SY652@SV200)))@(sK36_SY654@SV200)) = ((SV200@(sK34_SY601@SV200))@((SV200@(sK35_SY652@SV200))@(sK36_SY654@SV200))))=$false))),inference(extcnf_forall_pos,[status(thm)],[1671])). 18.87/19.13 thf(1716,plain,(![SV325:a,SV237:a,SV105:(a>$o)]: ((((~ (SV105@((sK1_Y2@SV237)@SV105))) | (~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))))=$false) | ((~ (SV105@SV237))=$true) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | ((SV105@SV325)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1672])). 18.87/19.13 thf(1717,plain,(![SV237:a,SV105:(a>$o)]: (((SV105@SV237)=$false) | ((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1673])). 18.87/19.13 thf(1718,plain,(![SV105:(a>$o),SV237:a]: ((((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((~ (SV105@SV237))=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1674])). 18.87/19.13 thf(1719,plain,(![SV237:a,SV334:a,SV105:(a>$o)]: (((~ (SV105@SV334))=$true) | (((less_eq@((least_a@less_eq)@SV105))@SV334)=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | ((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((SV105@SV237)=$false))),inference(extcnf_or_pos,[status(thm)],[1675])). 18.87/19.13 thf(1720,plain,(![SV237:a,SV340:a,SV105:(a>$o)]: ((((~ (SV105@SV340)) | ((less_eq@((least_a@less_eq)@SV105))@SV340))=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | (((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((SV105@SV237)=$false))),inference(extcnf_forall_pos,[status(thm)],[1676])). 18.87/19.13 thf(1721,plain,(![SV238:a,SV211:a,SV106:a]: ((((~ ((less_eq@SV106)@SV211)) | (~ ((less_eq@SV106)@SV238)))=$false) | (((less_eq@SV106)@SV211)=$false) | (((less_eq@SV106)@SV238)=$false))),inference(extcnf_not_pos,[status(thm)],[1678])). 18.87/19.13 thf(1722,plain,(![SV212:a,SV317:(a>$o),SV108:(a>$o)]: (((~ (![SY655:a]: ((~ (SV108@SY655)) | ((less_eq@SY655)@(((sK3_X2@SV317)@SV212)@SV108)))))=$false) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_or_neg,[status(thm)],[1679])). 18.87/19.13 thf(1723,plain,(![SV108:(a>$o),SV212:a,SV317:(a>$o)]: (((~ (~ (SV317@(((sK3_X2@SV317)@SV212)@SV108))))=$false) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_or_neg,[status(thm)],[1679])). 18.87/19.13 thf(1724,plain,(![SV212:a,SV320:(a>$o),SV108:(a>$o)]: ((((~ (![SY659:a]: ((~ (SV108@SY659)) | ((less_eq@SY659)@(((sK3_X2@SV320)@SV212)@SV108))))) | (~ (~ (SV320@(((sK3_X2@SV320)@SV212)@SV108)))))=$false) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_not_pos,[status(thm)],[1681])). 18.87/19.13 thf(1725,plain,(![SV110:(a>(a>a)),SV341:a,SV336:a]: (((((sup@SV336)@SV341) = ((SV110@SV336)@SV341))=$true) | (((less_eq@((SV110@(sK22_SY360@SV110))@(sK23_SY362@SV110)))@(sK21_X2@SV110))=$false) | (((less_eq@(sK25_SY363@SV110))@((SV110@(sK24_X2@SV110))@(sK25_SY363@SV110)))=$false) | (((less_eq@(sK26_X2@SV110))@((SV110@(sK26_X2@SV110))@(sK27_SY364@SV110)))=$false))),inference(extcnf_forall_pos,[status(thm)],[1683])). 18.87/19.13 thf(1726,plain,(![SV111:a,SV239:a,SV214:a]: ((((~ ((less_eq@SV214)@SV239)) | (~ ((less_eq@SV111)@SV239)))=$false) | (((less_eq@SV214)@SV239)=$false) | (((less_eq@SV111)@SV239)=$false))),inference(extcnf_not_pos,[status(thm)],[1685])). 18.87/19.13 thf(1727,plain,(![SV256:a,SV215:a]: (((SV215 = SV256)=$true) | (((less_eq@SV215)@SV256)=$false) | (((less_eq@SV256)@SV215)=$false))),inference(extcnf_not_neg,[status(thm)],[1688])). 18.87/19.13 thf(1728,plain,(![SV256:a,SV215:a]: (((~ ((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215))))=$true) | (((less_eq@SV215)@SV256)=$false) | (((less_eq@SV256)@SV215)=$false))),inference(extcnf_not_neg,[status(thm)],[1689])). 18.87/19.13 thf(1729,plain,(![SV327:a,SV241:a,SV113:(a>$o)]: ((((~ (SV113@((sK10_Y2@SV241)@SV113))) | (~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))))=$false) | ((~ (SV113@SV241))=$true) | (((less_eq@((sK11_Y2@SV241)@SV113))@SV327)=$true) | ((SV113@SV327)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1690])). 18.87/19.13 thf(1730,plain,(![SV241:a,SV113:(a>$o)]: (((SV113@SV241)=$false) | ((SV113@((sK10_Y2@SV241)@SV113))=$true) | ((SV113@((sK11_Y2@SV241)@SV113))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1691])). 18.87/19.13 thf(1731,plain,(![SV113:(a>$o),SV241:a]: ((((less_eq@SV241)@((sK10_Y2@SV241)@SV113))=$false) | ((~ (SV113@SV241))=$true) | ((SV113@((sK11_Y2@SV241)@SV113))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1692])). 18.87/19.13 thf(1732,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ ((less_eq@SV242)@SV257))=$true) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_neg,[status(thm)],[1694])). 18.87/19.13 thf(1733,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((~ ((less_eq@SV114)@SV216))=$true) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_neg,[status(thm)],[1695])). 18.87/19.13 thf(1734,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: ((((less_eq@SV114)@SV216)=$true) | (((less_eq@SV242)@SV257)=$true) | ((~ ((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))))=$true))),inference(extcnf_not_neg,[status(thm)],[1696])). 18.87/19.13 thf(1735,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257)))=$false) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_or_neg,[status(thm)],[1697])). 18.87/19.13 thf(1736,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))=$false) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_or_neg,[status(thm)],[1697])). 18.87/19.13 thf(1737,plain,(![SV217:a,SV318:(a>$o),SV115:(a>$o)]: (((~ (![SY656:a]: ((~ (SV115@SY656)) | ((less_eq@(((sK5_X2@SV318)@SV217)@SV115))@SY656))))=$false) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_or_neg,[status(thm)],[1698])). 18.87/19.13 thf(1738,plain,(![SV115:(a>$o),SV217:a,SV318:(a>$o)]: (((~ (~ (SV318@(((sK5_X2@SV318)@SV217)@SV115))))=$false) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_or_neg,[status(thm)],[1698])). 18.87/19.13 thf(1739,plain,(![SV217:a,SV322:(a>$o),SV115:(a>$o)]: ((((~ (![SY661:a]: ((~ (SV115@SY661)) | ((less_eq@(((sK5_X2@SV322)@SV217)@SV115))@SY661)))) | (~ (~ (SV322@(((sK5_X2@SV322)@SV217)@SV115)))))=$false) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_not_pos,[status(thm)],[1700])). 18.87/19.13 thf(1740,plain,(![SV258:a,SV219:a]: (((SV219 = SV258)=$true) | (((less_eq@SV258)@SV219)=$false) | (((less_eq@SV219)@SV258)=$false))),inference(extcnf_not_neg,[status(thm)],[1703])). 18.87/19.13 thf(1741,plain,(![SV219:a,SV258:a]: (((~ ((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258))))=$true) | (((less_eq@SV258)@SV219)=$false) | (((less_eq@SV219)@SV258)=$false))),inference(extcnf_not_neg,[status(thm)],[1704])). 18.87/19.13 thf(1742,plain,(![SV121:a,SV244:a,SV220:a]: ((((~ ((less_eq@SV220)@SV244)) | (~ ((less_eq@SV121)@SV244)))=$false) | (((less_eq@SV220)@SV244)=$false) | (((less_eq@SV121)@SV244)=$false))),inference(extcnf_not_pos,[status(thm)],[1706])). 18.87/19.13 thf(1743,plain,(![SV261:a,SV221:a]: (((SV221 = SV261)=$true) | (((less_eq@SV221)@SV261)=$false) | (((less_eq@SV261)@SV221)=$false))),inference(extcnf_not_neg,[status(thm)],[1709])). 18.87/19.13 thf(1744,plain,(![SV261:a,SV221:a]: (((~ ((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221))))=$true) | (((less_eq@SV221)@SV261)=$false) | (((less_eq@SV261)@SV221)=$false))),inference(extcnf_not_neg,[status(thm)],[1710])). 18.87/19.13 thf(1745,plain,(![SV123:(a>(a>a)),SV342:a,SV338:a]: (((((inf@SV338)@SV342) = ((SV123@SV338)@SV342))=$true) | (((less_eq@(sK14_X2@SV123))@((SV123@(sK15_SY355@SV123))@(sK16_SY357@SV123)))=$false) | (((less_eq@((SV123@(sK17_X2@SV123))@(sK18_SY358@SV123)))@(sK18_SY358@SV123))=$false) | (((less_eq@((SV123@(sK19_X2@SV123))@(sK20_SY359@SV123)))@(sK19_X2@SV123))=$false))),inference(extcnf_forall_pos,[status(thm)],[1712])). 18.87/19.13 thf(1746,plain,(![SV222:a,SV246:a,SV124:a]: ((((~ ((less_eq@SV124)@SV246)) | (~ ((less_eq@SV124)@SV222)))=$false) | (((less_eq@SV124)@SV246)=$false) | (((less_eq@SV124)@SV222)=$false))),inference(extcnf_not_pos,[status(thm)],[1714])). 18.87/19.13 thf(1747,plain,(![SV325:a,SV237:a,SV105:(a>$o)]: (((~ (SV105@((sK1_Y2@SV237)@SV105)))=$false) | ((~ (SV105@SV237))=$true) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | ((SV105@SV325)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_neg,[status(thm)],[1716])). 18.87/19.13 thf(1748,plain,(![SV325:a,SV105:(a>$o),SV237:a]: (((~ (~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105))))=$false) | ((~ (SV105@SV237))=$true) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | ((SV105@SV325)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_or_neg,[status(thm)],[1716])). 18.87/19.13 thf(1749,plain,(![SV237:a,SV343:a,SV105:(a>$o)]: ((((~ (SV105@SV343)) | ((less_eq@((least_a@less_eq)@SV105))@SV343))=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | ((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((SV105@SV237)=$false))),inference(extcnf_forall_pos,[status(thm)],[1717])). 18.87/19.13 thf(1750,plain,(![SV237:a,SV105:(a>$o)]: (((SV105@SV237)=$false) | (((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1718])). 18.87/19.13 thf(1751,plain,(![SV237:a,SV334:a,SV105:(a>$o)]: (((SV105@SV334)=$false) | (((less_eq@((least_a@less_eq)@SV105))@SV334)=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | ((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((SV105@SV237)=$false))),inference(extcnf_not_pos,[status(thm)],[1719])). 18.87/19.13 thf(1752,plain,(![SV237:a,SV340:a,SV105:(a>$o)]: (((~ (SV105@SV340))=$true) | (((less_eq@((least_a@less_eq)@SV105))@SV340)=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | (((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((SV105@SV237)=$false))),inference(extcnf_or_pos,[status(thm)],[1720])). 18.87/19.13 thf(1753,plain,(![SV238:a,SV211:a,SV106:a]: (((~ ((less_eq@SV106)@SV211))=$false) | (((less_eq@SV106)@SV211)=$false) | (((less_eq@SV106)@SV238)=$false))),inference(extcnf_or_neg,[status(thm)],[1721])). 18.87/19.13 thf(1754,plain,(![SV211:a,SV238:a,SV106:a]: (((~ ((less_eq@SV106)@SV238))=$false) | (((less_eq@SV106)@SV211)=$false) | (((less_eq@SV106)@SV238)=$false))),inference(extcnf_or_neg,[status(thm)],[1721])). 18.87/19.13 thf(1755,plain,(![SV212:a,SV317:(a>$o),SV108:(a>$o)]: (((![SY655:a]: ((~ (SV108@SY655)) | ((less_eq@SY655)@(((sK3_X2@SV317)@SV212)@SV108))))=$true) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_not_neg,[status(thm)],[1722])). 18.87/19.13 thf(1756,plain,(![SV108:(a>$o),SV212:a,SV317:(a>$o)]: (((~ (SV317@(((sK3_X2@SV317)@SV212)@SV108)))=$true) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_not_neg,[status(thm)],[1723])). 18.87/19.13 thf(1757,plain,(![SV212:a,SV320:(a>$o),SV108:(a>$o)]: (((~ (![SY659:a]: ((~ (SV108@SY659)) | ((less_eq@SY659)@(((sK3_X2@SV320)@SV212)@SV108)))))=$false) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_or_neg,[status(thm)],[1724])). 18.87/19.13 thf(1758,plain,(![SV108:(a>$o),SV212:a,SV320:(a>$o)]: (((~ (~ (SV320@(((sK3_X2@SV320)@SV212)@SV108))))=$false) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_or_neg,[status(thm)],[1724])). 18.87/19.13 thf(1759,plain,(![SV111:a,SV239:a,SV214:a]: (((~ ((less_eq@SV214)@SV239))=$false) | (((less_eq@SV214)@SV239)=$false) | (((less_eq@SV111)@SV239)=$false))),inference(extcnf_or_neg,[status(thm)],[1726])). 18.87/19.13 thf(1760,plain,(![SV214:a,SV239:a,SV111:a]: (((~ ((less_eq@SV111)@SV239))=$false) | (((less_eq@SV214)@SV239)=$false) | (((less_eq@SV111)@SV239)=$false))),inference(extcnf_or_neg,[status(thm)],[1726])). 18.87/19.13 thf(1761,plain,(![SV256:a,SV215:a]: ((((~ ((less_eq@SV215)@SV256)) | (~ ((less_eq@SV256)@SV215)))=$false) | (((less_eq@SV215)@SV256)=$false) | (((less_eq@SV256)@SV215)=$false))),inference(extcnf_not_pos,[status(thm)],[1728])). 18.87/19.13 thf(1762,plain,(![SV327:a,SV241:a,SV113:(a>$o)]: (((~ (SV113@((sK10_Y2@SV241)@SV113)))=$false) | ((~ (SV113@SV241))=$true) | (((less_eq@((sK11_Y2@SV241)@SV113))@SV327)=$true) | ((SV113@SV327)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_neg,[status(thm)],[1729])). 18.87/19.13 thf(1763,plain,(![SV327:a,SV113:(a>$o),SV241:a]: (((~ (~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113))))=$false) | ((~ (SV113@SV241))=$true) | (((less_eq@((sK11_Y2@SV241)@SV113))@SV327)=$true) | ((SV113@SV327)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_or_neg,[status(thm)],[1729])). 18.87/19.13 thf(1764,plain,(![SV241:a,SV113:(a>$o)]: (((SV113@SV241)=$false) | (((less_eq@SV241)@((sK10_Y2@SV241)@SV113))=$false) | ((SV113@((sK11_Y2@SV241)@SV113))=$true) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1731])). 18.87/19.13 thf(1765,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: ((((less_eq@SV242)@SV257)=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_pos,[status(thm)],[1732])). 18.87/19.13 thf(1766,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: ((((less_eq@SV114)@SV216)=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_pos,[status(thm)],[1733])). 18.87/19.13 thf(1767,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: ((((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))) | (~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257)))))))=$false) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_pos,[status(thm)],[1734])). 18.87/19.13 thf(1768,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: ((((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$true) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_neg,[status(thm)],[1735])). 18.87/19.13 thf(1769,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: ((((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257)))))=$true) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_neg,[status(thm)],[1736])). 18.87/19.13 thf(1770,plain,(![SV217:a,SV318:(a>$o),SV115:(a>$o)]: (((![SY656:a]: ((~ (SV115@SY656)) | ((less_eq@(((sK5_X2@SV318)@SV217)@SV115))@SY656)))=$true) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_not_neg,[status(thm)],[1737])). 18.87/19.13 thf(1771,plain,(![SV115:(a>$o),SV217:a,SV318:(a>$o)]: (((~ (SV318@(((sK5_X2@SV318)@SV217)@SV115)))=$true) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_not_neg,[status(thm)],[1738])). 18.87/19.13 thf(1772,plain,(![SV217:a,SV322:(a>$o),SV115:(a>$o)]: (((~ (![SY661:a]: ((~ (SV115@SY661)) | ((less_eq@(((sK5_X2@SV322)@SV217)@SV115))@SY661))))=$false) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_or_neg,[status(thm)],[1739])). 18.87/19.13 thf(1773,plain,(![SV115:(a>$o),SV217:a,SV322:(a>$o)]: (((~ (~ (SV322@(((sK5_X2@SV322)@SV217)@SV115))))=$false) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_or_neg,[status(thm)],[1739])). 18.87/19.13 thf(1774,plain,(![SV219:a,SV258:a]: ((((~ ((less_eq@SV258)@SV219)) | (~ ((less_eq@SV219)@SV258)))=$false) | (((less_eq@SV258)@SV219)=$false) | (((less_eq@SV219)@SV258)=$false))),inference(extcnf_not_pos,[status(thm)],[1741])). 18.87/19.13 thf(1775,plain,(![SV121:a,SV244:a,SV220:a]: (((~ ((less_eq@SV220)@SV244))=$false) | (((less_eq@SV220)@SV244)=$false) | (((less_eq@SV121)@SV244)=$false))),inference(extcnf_or_neg,[status(thm)],[1742])). 18.87/19.13 thf(1776,plain,(![SV220:a,SV244:a,SV121:a]: (((~ ((less_eq@SV121)@SV244))=$false) | (((less_eq@SV220)@SV244)=$false) | (((less_eq@SV121)@SV244)=$false))),inference(extcnf_or_neg,[status(thm)],[1742])). 18.87/19.13 thf(1777,plain,(![SV261:a,SV221:a]: ((((~ ((less_eq@SV221)@SV261)) | (~ ((less_eq@SV261)@SV221)))=$false) | (((less_eq@SV221)@SV261)=$false) | (((less_eq@SV261)@SV221)=$false))),inference(extcnf_not_pos,[status(thm)],[1744])). 18.87/19.13 thf(1778,plain,(![SV222:a,SV246:a,SV124:a]: (((~ ((less_eq@SV124)@SV246))=$false) | (((less_eq@SV124)@SV246)=$false) | (((less_eq@SV124)@SV222)=$false))),inference(extcnf_or_neg,[status(thm)],[1746])). 18.87/19.13 thf(1779,plain,(![SV246:a,SV222:a,SV124:a]: (((~ ((less_eq@SV124)@SV222))=$false) | (((less_eq@SV124)@SV246)=$false) | (((less_eq@SV124)@SV222)=$false))),inference(extcnf_or_neg,[status(thm)],[1746])). 18.87/19.13 thf(1780,plain,(![SV325:a,SV237:a,SV105:(a>$o)]: (((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((~ (SV105@SV237))=$true) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | ((SV105@SV325)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_neg,[status(thm)],[1747])). 18.87/19.13 thf(1781,plain,(![SV325:a,SV105:(a>$o),SV237:a]: (((~ ((less_eq@SV237)@((sK1_Y2@SV237)@SV105)))=$true) | ((~ (SV105@SV237))=$true) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | ((SV105@SV325)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_neg,[status(thm)],[1748])). 18.87/19.13 thf(1782,plain,(![SV237:a,SV343:a,SV105:(a>$o)]: (((~ (SV105@SV343))=$true) | (((less_eq@((least_a@less_eq)@SV105))@SV343)=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | ((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((SV105@SV237)=$false))),inference(extcnf_or_pos,[status(thm)],[1749])). 18.87/19.13 thf(1783,plain,(![SV237:a,SV344:a,SV105:(a>$o)]: ((((~ (SV105@SV344)) | ((less_eq@((least_a@less_eq)@SV105))@SV344))=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | (((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((SV105@SV237)=$false))),inference(extcnf_forall_pos,[status(thm)],[1750])). 18.87/19.13 thf(1784,plain,(![SV237:a,SV340:a,SV105:(a>$o)]: (((SV105@SV340)=$false) | (((less_eq@((least_a@less_eq)@SV105))@SV340)=$true) | ((((sK2_Y2@SV237)@SV105) = SV237)=$false) | (((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((SV105@SV237)=$false))),inference(extcnf_not_pos,[status(thm)],[1752])). 18.87/19.13 thf(1785,plain,(![SV238:a,SV211:a,SV106:a]: ((((less_eq@SV106)@SV211)=$true) | (((less_eq@SV106)@SV211)=$false) | (((less_eq@SV106)@SV238)=$false))),inference(extcnf_not_neg,[status(thm)],[1753])). 18.87/19.13 thf(1786,plain,(![SV211:a,SV238:a,SV106:a]: ((((less_eq@SV106)@SV238)=$true) | (((less_eq@SV106)@SV211)=$false) | (((less_eq@SV106)@SV238)=$false))),inference(extcnf_not_neg,[status(thm)],[1754])). 18.87/19.13 thf(1787,plain,(![SV212:a,SV317:(a>$o),SV345:a,SV108:(a>$o)]: ((((~ (SV108@SV345)) | ((less_eq@SV345)@(((sK3_X2@SV317)@SV212)@SV108)))=$true) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_forall_pos,[status(thm)],[1755])). 18.87/19.13 thf(1788,plain,(![SV108:(a>$o),SV212:a,SV317:(a>$o)]: (((SV317@(((sK3_X2@SV317)@SV212)@SV108))=$false) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_not_pos,[status(thm)],[1756])). 18.87/19.13 thf(1789,plain,(![SV212:a,SV320:(a>$o),SV108:(a>$o)]: (((![SY659:a]: ((~ (SV108@SY659)) | ((less_eq@SY659)@(((sK3_X2@SV320)@SV212)@SV108))))=$true) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_not_neg,[status(thm)],[1757])). 18.87/19.13 thf(1790,plain,(![SV108:(a>$o),SV212:a,SV320:(a>$o)]: (((~ (SV320@(((sK3_X2@SV320)@SV212)@SV108)))=$true) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_not_neg,[status(thm)],[1758])). 18.87/19.13 thf(1791,plain,(![SV111:a,SV239:a,SV214:a]: ((((less_eq@SV214)@SV239)=$true) | (((less_eq@SV214)@SV239)=$false) | (((less_eq@SV111)@SV239)=$false))),inference(extcnf_not_neg,[status(thm)],[1759])). 18.87/19.13 thf(1792,plain,(![SV214:a,SV239:a,SV111:a]: ((((less_eq@SV111)@SV239)=$true) | (((less_eq@SV214)@SV239)=$false) | (((less_eq@SV111)@SV239)=$false))),inference(extcnf_not_neg,[status(thm)],[1760])). 18.87/19.13 thf(1793,plain,(![SV256:a,SV215:a]: (((~ ((less_eq@SV215)@SV256))=$false) | (((less_eq@SV215)@SV256)=$false) | (((less_eq@SV256)@SV215)=$false))),inference(extcnf_or_neg,[status(thm)],[1761])). 18.87/19.13 thf(1794,plain,(![SV215:a,SV256:a]: (((~ ((less_eq@SV256)@SV215))=$false) | (((less_eq@SV215)@SV256)=$false) | (((less_eq@SV256)@SV215)=$false))),inference(extcnf_or_neg,[status(thm)],[1761])). 18.87/19.13 thf(1795,plain,(![SV327:a,SV241:a,SV113:(a>$o)]: (((SV113@((sK10_Y2@SV241)@SV113))=$true) | ((~ (SV113@SV241))=$true) | (((less_eq@((sK11_Y2@SV241)@SV113))@SV327)=$true) | ((SV113@SV327)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_neg,[status(thm)],[1762])). 18.87/19.13 thf(1796,plain,(![SV327:a,SV113:(a>$o),SV241:a]: (((~ ((less_eq@SV241)@((sK10_Y2@SV241)@SV113)))=$true) | ((~ (SV113@SV241))=$true) | (((less_eq@((sK11_Y2@SV241)@SV113))@SV327)=$true) | ((SV113@SV327)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_neg,[status(thm)],[1763])). 18.87/19.13 thf(1797,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: ((((~ (SV114 = SV242)) | (~ (SV216 = SV257)))=$false) | (((less_eq@SV242)@SV257)=$false) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_pos,[status(thm)],[1765])). 18.87/19.13 thf(1798,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: ((((~ (SV114 = SV242)) | (~ (SV216 = SV257)))=$false) | (((less_eq@SV114)@SV216)=$false) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_pos,[status(thm)],[1766])). 18.87/19.13 thf(1799,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((~ ((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257)))=$false) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_or_neg,[status(thm)],[1767])). 18.87/19.13 thf(1800,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ ((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))))=$false) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_or_neg,[status(thm)],[1767])). 18.87/19.13 thf(1801,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216)))))=$true) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_or_pos,[status(thm)],[1769])). 18.87/19.13 thf(1802,plain,(![SV217:a,SV318:(a>$o),SV346:a,SV115:(a>$o)]: ((((~ (SV115@SV346)) | ((less_eq@(((sK5_X2@SV318)@SV217)@SV115))@SV346))=$true) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_forall_pos,[status(thm)],[1770])). 18.87/19.13 thf(1803,plain,(![SV115:(a>$o),SV217:a,SV318:(a>$o)]: (((SV318@(((sK5_X2@SV318)@SV217)@SV115))=$false) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_not_pos,[status(thm)],[1771])). 18.87/19.13 thf(1804,plain,(![SV217:a,SV322:(a>$o),SV115:(a>$o)]: (((![SY661:a]: ((~ (SV115@SY661)) | ((less_eq@(((sK5_X2@SV322)@SV217)@SV115))@SY661)))=$true) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_not_neg,[status(thm)],[1772])). 18.87/19.13 thf(1805,plain,(![SV115:(a>$o),SV217:a,SV322:(a>$o)]: (((~ (SV322@(((sK5_X2@SV322)@SV217)@SV115)))=$true) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_not_neg,[status(thm)],[1773])). 18.87/19.13 thf(1806,plain,(![SV219:a,SV258:a]: (((~ ((less_eq@SV258)@SV219))=$false) | (((less_eq@SV258)@SV219)=$false) | (((less_eq@SV219)@SV258)=$false))),inference(extcnf_or_neg,[status(thm)],[1774])). 18.87/19.13 thf(1807,plain,(![SV258:a,SV219:a]: (((~ ((less_eq@SV219)@SV258))=$false) | (((less_eq@SV258)@SV219)=$false) | (((less_eq@SV219)@SV258)=$false))),inference(extcnf_or_neg,[status(thm)],[1774])). 18.87/19.13 thf(1808,plain,(![SV121:a,SV244:a,SV220:a]: ((((less_eq@SV220)@SV244)=$true) | (((less_eq@SV220)@SV244)=$false) | (((less_eq@SV121)@SV244)=$false))),inference(extcnf_not_neg,[status(thm)],[1775])). 18.87/19.14 thf(1809,plain,(![SV220:a,SV244:a,SV121:a]: ((((less_eq@SV121)@SV244)=$true) | (((less_eq@SV220)@SV244)=$false) | (((less_eq@SV121)@SV244)=$false))),inference(extcnf_not_neg,[status(thm)],[1776])). 18.87/19.14 thf(1810,plain,(![SV261:a,SV221:a]: (((~ ((less_eq@SV221)@SV261))=$false) | (((less_eq@SV221)@SV261)=$false) | (((less_eq@SV261)@SV221)=$false))),inference(extcnf_or_neg,[status(thm)],[1777])). 18.87/19.14 thf(1811,plain,(![SV221:a,SV261:a]: (((~ ((less_eq@SV261)@SV221))=$false) | (((less_eq@SV221)@SV261)=$false) | (((less_eq@SV261)@SV221)=$false))),inference(extcnf_or_neg,[status(thm)],[1777])). 18.87/19.14 thf(1812,plain,(![SV222:a,SV246:a,SV124:a]: ((((less_eq@SV124)@SV246)=$true) | (((less_eq@SV124)@SV246)=$false) | (((less_eq@SV124)@SV222)=$false))),inference(extcnf_not_neg,[status(thm)],[1778])). 18.87/19.14 thf(1813,plain,(![SV246:a,SV222:a,SV124:a]: ((((less_eq@SV124)@SV222)=$true) | (((less_eq@SV124)@SV246)=$false) | (((less_eq@SV124)@SV222)=$false))),inference(extcnf_not_neg,[status(thm)],[1779])). 18.87/19.14 thf(1814,plain,(![SV325:a,SV237:a,SV105:(a>$o)]: (((SV105@SV237)=$false) | ((SV105@((sK1_Y2@SV237)@SV105))=$true) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | ((SV105@SV325)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1780])). 18.87/19.14 thf(1815,plain,(![SV325:a,SV105:(a>$o),SV237:a]: ((((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((~ (SV105@SV237))=$true) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | ((SV105@SV325)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1781])). 18.87/19.14 thf(1816,plain,(![SV237:a,SV343:a,SV105:(a>$o)]: (((SV105@SV343)=$false) | (((less_eq@((least_a@less_eq)@SV105))@SV343)=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | ((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((SV105@SV237)=$false))),inference(extcnf_not_pos,[status(thm)],[1782])). 18.87/19.14 thf(1817,plain,(![SV237:a,SV344:a,SV105:(a>$o)]: (((~ (SV105@SV344))=$true) | (((less_eq@((least_a@less_eq)@SV105))@SV344)=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | (((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((SV105@SV237)=$false))),inference(extcnf_or_pos,[status(thm)],[1783])). 18.87/19.14 thf(1818,plain,(![SV212:a,SV317:(a>$o),SV345:a,SV108:(a>$o)]: (((~ (SV108@SV345))=$true) | (((less_eq@SV345)@(((sK3_X2@SV317)@SV212)@SV108))=$true) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_or_pos,[status(thm)],[1787])). 18.87/19.14 thf(1819,plain,(![SV212:a,SV320:(a>$o),SV347:a,SV108:(a>$o)]: ((((~ (SV108@SV347)) | ((less_eq@SV347)@(((sK3_X2@SV320)@SV212)@SV108)))=$true) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_forall_pos,[status(thm)],[1789])). 18.87/19.14 thf(1820,plain,(![SV108:(a>$o),SV212:a,SV320:(a>$o)]: (((SV320@(((sK3_X2@SV320)@SV212)@SV108))=$false) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_not_pos,[status(thm)],[1790])). 18.87/19.14 thf(1821,plain,(![SV256:a,SV215:a]: ((((less_eq@SV215)@SV256)=$true) | (((less_eq@SV215)@SV256)=$false) | (((less_eq@SV256)@SV215)=$false))),inference(extcnf_not_neg,[status(thm)],[1793])). 18.87/19.14 thf(1822,plain,(![SV215:a,SV256:a]: ((((less_eq@SV256)@SV215)=$true) | (((less_eq@SV215)@SV256)=$false) | (((less_eq@SV256)@SV215)=$false))),inference(extcnf_not_neg,[status(thm)],[1794])). 18.87/19.14 thf(1823,plain,(![SV327:a,SV241:a,SV113:(a>$o)]: (((SV113@SV241)=$false) | ((SV113@((sK10_Y2@SV241)@SV113))=$true) | (((less_eq@((sK11_Y2@SV241)@SV113))@SV327)=$true) | ((SV113@SV327)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1795])). 18.87/19.14 thf(1824,plain,(![SV327:a,SV113:(a>$o),SV241:a]: ((((less_eq@SV241)@((sK10_Y2@SV241)@SV113))=$false) | ((~ (SV113@SV241))=$true) | (((less_eq@((sK11_Y2@SV241)@SV113))@SV327)=$true) | ((SV113@SV327)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1796])). 18.87/19.14 thf(1825,plain,(![SV216:a,SV257:a,SV242:a,SV114:a]: (((~ (SV114 = SV242))=$false) | (((less_eq@SV242)@SV257)=$false) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_or_neg,[status(thm)],[1797])). 18.87/19.14 thf(1826,plain,(![SV114:a,SV242:a,SV257:a,SV216:a]: (((~ (SV216 = SV257))=$false) | (((less_eq@SV242)@SV257)=$false) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_or_neg,[status(thm)],[1797])). 18.87/19.14 thf(1827,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: (((~ (SV114 = SV242))=$false) | (((less_eq@SV114)@SV216)=$false) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_or_neg,[status(thm)],[1798])). 18.87/19.14 thf(1828,plain,(![SV242:a,SV114:a,SV257:a,SV216:a]: (((~ (SV216 = SV257))=$false) | (((less_eq@SV114)@SV216)=$false) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_or_neg,[status(thm)],[1798])). 18.87/19.14 thf(1829,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: ((((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$true) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_neg,[status(thm)],[1799])). 18.87/19.14 thf(1830,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: ((((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))) | (~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257)))))=$true) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_neg,[status(thm)],[1800])). 18.87/19.14 thf(1831,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: ((((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_pos,[status(thm)],[1801])). 18.87/19.14 thf(1832,plain,(![SV217:a,SV318:(a>$o),SV346:a,SV115:(a>$o)]: (((~ (SV115@SV346))=$true) | (((less_eq@(((sK5_X2@SV318)@SV217)@SV115))@SV346)=$true) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_or_pos,[status(thm)],[1802])). 18.87/19.14 thf(1833,plain,(![SV217:a,SV322:(a>$o),SV348:a,SV115:(a>$o)]: ((((~ (SV115@SV348)) | ((less_eq@(((sK5_X2@SV322)@SV217)@SV115))@SV348))=$true) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_forall_pos,[status(thm)],[1804])). 18.87/19.14 thf(1834,plain,(![SV115:(a>$o),SV217:a,SV322:(a>$o)]: (((SV322@(((sK5_X2@SV322)@SV217)@SV115))=$false) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_not_pos,[status(thm)],[1805])). 18.87/19.14 thf(1835,plain,(![SV219:a,SV258:a]: ((((less_eq@SV258)@SV219)=$true) | (((less_eq@SV258)@SV219)=$false) | (((less_eq@SV219)@SV258)=$false))),inference(extcnf_not_neg,[status(thm)],[1806])). 18.87/19.14 thf(1836,plain,(![SV258:a,SV219:a]: ((((less_eq@SV219)@SV258)=$true) | (((less_eq@SV258)@SV219)=$false) | (((less_eq@SV219)@SV258)=$false))),inference(extcnf_not_neg,[status(thm)],[1807])). 18.87/19.14 thf(1837,plain,(![SV261:a,SV221:a]: ((((less_eq@SV221)@SV261)=$true) | (((less_eq@SV221)@SV261)=$false) | (((less_eq@SV261)@SV221)=$false))),inference(extcnf_not_neg,[status(thm)],[1810])). 18.87/19.14 thf(1838,plain,(![SV221:a,SV261:a]: ((((less_eq@SV261)@SV221)=$true) | (((less_eq@SV221)@SV261)=$false) | (((less_eq@SV261)@SV221)=$false))),inference(extcnf_not_neg,[status(thm)],[1811])). 18.87/19.14 thf(1839,plain,(![SV237:a,SV325:a,SV349:a,SV105:(a>$o)]: ((((~ (SV105@SV349)) | ((less_eq@((least_a@less_eq)@SV105))@SV349))=$true) | ((SV105@SV325)=$false) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | ((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((SV105@SV237)=$false))),inference(extcnf_forall_pos,[status(thm)],[1814])). 18.87/19.14 thf(1840,plain,(![SV325:a,SV237:a,SV105:(a>$o)]: (((SV105@SV237)=$false) | (((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | ((SV105@SV325)=$false) | ((![SY516:a]: ((~ (SV105@SY516)) | ((less_eq@((least_a@less_eq)@SV105))@SY516)))=$true))),inference(extcnf_not_pos,[status(thm)],[1815])). 18.87/19.14 thf(1841,plain,(![SV237:a,SV344:a,SV105:(a>$o)]: (((SV105@SV344)=$false) | (((less_eq@((least_a@less_eq)@SV105))@SV344)=$true) | ((SV105@((sK2_Y2@SV237)@SV105))=$true) | (((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((SV105@SV237)=$false))),inference(extcnf_not_pos,[status(thm)],[1817])). 18.87/19.14 thf(1842,plain,(![SV212:a,SV317:(a>$o),SV345:a,SV108:(a>$o)]: (((SV108@SV345)=$false) | (((less_eq@SV345)@(((sK3_X2@SV317)@SV212)@SV108))=$true) | ((SV317@((greatest_a@less_eq)@SV108))=$true) | ((SV108@((sK4_Y2@SV212)@SV108))=$true) | ((SV108@SV212)=$false))),inference(extcnf_not_pos,[status(thm)],[1818])). 18.87/19.14 thf(1843,plain,(![SV212:a,SV320:(a>$o),SV347:a,SV108:(a>$o)]: (((~ (SV108@SV347))=$true) | (((less_eq@SV347)@(((sK3_X2@SV320)@SV212)@SV108))=$true) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_or_pos,[status(thm)],[1819])). 18.87/19.14 thf(1844,plain,(![SV327:a,SV241:a,SV113:(a>$o)]: (((SV113@SV241)=$false) | (((less_eq@SV241)@((sK10_Y2@SV241)@SV113))=$false) | (((less_eq@((sK11_Y2@SV241)@SV113))@SV327)=$true) | ((SV113@SV327)=$false) | ((SV113@((least_a@less_eq)@SV113))=$true))),inference(extcnf_not_pos,[status(thm)],[1824])). 18.87/19.14 thf(1845,plain,(![SV216:a,SV257:a,SV242:a,SV114:a]: (((SV114 = SV242)=$true) | (((less_eq@SV242)@SV257)=$false) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_neg,[status(thm)],[1825])). 18.87/19.14 thf(1846,plain,(![SV114:a,SV242:a,SV257:a,SV216:a]: (((SV216 = SV257)=$true) | (((less_eq@SV242)@SV257)=$false) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_neg,[status(thm)],[1826])). 18.87/19.14 thf(1847,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: (((SV114 = SV242)=$true) | (((less_eq@SV114)@SV216)=$false) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_neg,[status(thm)],[1827])). 18.87/19.14 thf(1848,plain,(![SV242:a,SV114:a,SV257:a,SV216:a]: (((SV216 = SV257)=$true) | (((less_eq@SV114)@SV216)=$false) | (((((set_atLeastAtMost_a@less_eq)@SV114)@SV216) = (((set_atLeastAtMost_a@less_eq)@SV242)@SV257))=$false))),inference(extcnf_not_neg,[status(thm)],[1828])). 18.87/19.14 thf(1849,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ ((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216)))))=$true) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_or_pos,[status(thm)],[1830])). 18.87/19.14 thf(1850,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ (~ ((less_eq@SV242)@SV257)))=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_or_neg,[status(thm)],[1831])). 18.87/19.14 thf(1851,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((~ (~ ((less_eq@SV114)@SV216)))=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_or_neg,[status(thm)],[1831])). 18.87/19.14 thf(1852,plain,(![SV217:a,SV318:(a>$o),SV346:a,SV115:(a>$o)]: (((SV115@SV346)=$false) | (((less_eq@(((sK5_X2@SV318)@SV217)@SV115))@SV346)=$true) | ((SV318@((least_a@less_eq)@SV115))=$true) | ((SV115@((sK6_Y2@SV217)@SV115))=$true) | ((SV115@SV217)=$false))),inference(extcnf_not_pos,[status(thm)],[1832])). 18.87/19.14 thf(1853,plain,(![SV217:a,SV322:(a>$o),SV348:a,SV115:(a>$o)]: (((~ (SV115@SV348))=$true) | (((less_eq@(((sK5_X2@SV322)@SV217)@SV115))@SV348)=$true) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_or_pos,[status(thm)],[1833])). 18.87/19.14 thf(1854,plain,(![SV237:a,SV325:a,SV349:a,SV105:(a>$o)]: (((~ (SV105@SV349))=$true) | (((less_eq@((least_a@less_eq)@SV105))@SV349)=$true) | ((SV105@SV325)=$false) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | ((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((SV105@SV237)=$false))),inference(extcnf_or_pos,[status(thm)],[1839])). 18.87/19.14 thf(1855,plain,(![SV237:a,SV325:a,SV350:a,SV105:(a>$o)]: ((((~ (SV105@SV350)) | ((less_eq@((least_a@less_eq)@SV105))@SV350))=$true) | ((SV105@SV325)=$false) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | (((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((SV105@SV237)=$false))),inference(extcnf_forall_pos,[status(thm)],[1840])). 18.87/19.14 thf(1856,plain,(![SV212:a,SV320:(a>$o),SV347:a,SV108:(a>$o)]: (((SV108@SV347)=$false) | (((less_eq@SV347)@(((sK3_X2@SV320)@SV212)@SV108))=$true) | ((SV320@((greatest_a@less_eq)@SV108))=$true) | (((less_eq@((sK4_Y2@SV212)@SV108))@SV212)=$false) | ((SV108@SV212)=$false))),inference(extcnf_not_pos,[status(thm)],[1843])). 18.87/19.14 thf(1857,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: ((((~ (~ ((less_eq@SV242)@SV257))) | (~ (~ ((less_eq@SV114)@SV216))))=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_pos,[status(thm)],[1849])). 18.87/19.14 thf(1858,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ ((less_eq@SV242)@SV257))=$true) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_neg,[status(thm)],[1850])). 18.87/19.14 thf(1859,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((~ ((less_eq@SV114)@SV216))=$true) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_neg,[status(thm)],[1851])). 18.87/19.14 thf(1860,plain,(![SV217:a,SV322:(a>$o),SV348:a,SV115:(a>$o)]: (((SV115@SV348)=$false) | (((less_eq@(((sK5_X2@SV322)@SV217)@SV115))@SV348)=$true) | ((SV322@((least_a@less_eq)@SV115))=$true) | (((less_eq@SV217)@((sK6_Y2@SV217)@SV115))=$false) | ((SV115@SV217)=$false))),inference(extcnf_not_pos,[status(thm)],[1853])). 18.87/19.14 thf(1861,plain,(![SV237:a,SV325:a,SV349:a,SV105:(a>$o)]: (((SV105@SV349)=$false) | (((less_eq@((least_a@less_eq)@SV105))@SV349)=$true) | ((SV105@SV325)=$false) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | ((SV105@((sK1_Y2@SV237)@SV105))=$true) | ((SV105@SV237)=$false))),inference(extcnf_not_pos,[status(thm)],[1854])). 18.87/19.14 thf(1862,plain,(![SV237:a,SV325:a,SV350:a,SV105:(a>$o)]: (((~ (SV105@SV350))=$true) | (((less_eq@((least_a@less_eq)@SV105))@SV350)=$true) | ((SV105@SV325)=$false) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | (((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((SV105@SV237)=$false))),inference(extcnf_or_pos,[status(thm)],[1855])). 18.87/19.14 thf(1863,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ (~ ((less_eq@SV242)@SV257)))=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_or_neg,[status(thm)],[1857])). 18.87/19.14 thf(1864,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((~ (~ ((less_eq@SV114)@SV216)))=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_or_neg,[status(thm)],[1857])). 18.87/19.14 thf(1865,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: ((((less_eq@SV242)@SV257)=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_pos,[status(thm)],[1858])). 18.87/19.14 thf(1866,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: ((((less_eq@SV114)@SV216)=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_pos,[status(thm)],[1859])). 18.87/19.14 thf(1867,plain,(![SV237:a,SV325:a,SV350:a,SV105:(a>$o)]: (((SV105@SV350)=$false) | (((less_eq@((least_a@less_eq)@SV105))@SV350)=$true) | ((SV105@SV325)=$false) | (((less_eq@((sK2_Y2@SV237)@SV105))@SV325)=$true) | (((less_eq@SV237)@((sK1_Y2@SV237)@SV105))=$false) | ((SV105@SV237)=$false))),inference(extcnf_not_pos,[status(thm)],[1862])). 18.87/19.14 thf(1868,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: (((~ ((less_eq@SV242)@SV257))=$true) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_neg,[status(thm)],[1863])). 18.87/19.14 thf(1869,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: (((~ ((less_eq@SV114)@SV216))=$true) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_neg,[status(thm)],[1864])). 18.87/19.14 thf(1870,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: ((((~ (SV114 = SV242)) | (~ (SV216 = SV257)))=$false) | (((less_eq@SV242)@SV257)=$false) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_pos,[status(thm)],[1865])). 18.87/19.14 thf(1871,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: ((((~ (SV114 = SV242)) | (~ (SV216 = SV257)))=$false) | (((less_eq@SV114)@SV216)=$false) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_pos,[status(thm)],[1866])). 18.87/19.14 thf(1872,plain,(![SV216:a,SV114:a,SV257:a,SV242:a]: ((((less_eq@SV242)@SV257)=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_pos,[status(thm)],[1868])). 18.87/19.14 thf(1873,plain,(![SV257:a,SV242:a,SV216:a,SV114:a]: ((((less_eq@SV114)@SV216)=$false) | ((~ ((~ (SV114 = SV242)) | (~ (SV216 = SV257))))=$true) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_pos,[status(thm)],[1869])). 18.87/19.14 thf(1874,plain,(![SV216:a,SV257:a,SV242:a,SV114:a]: (((~ (SV114 = SV242))=$false) | (((less_eq@SV242)@SV257)=$false) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_or_neg,[status(thm)],[1870])). 18.87/19.14 thf(1875,plain,(![SV114:a,SV242:a,SV257:a,SV216:a]: (((~ (SV216 = SV257))=$false) | (((less_eq@SV242)@SV257)=$false) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_or_neg,[status(thm)],[1870])). 18.87/19.14 thf(1876,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: (((~ (SV114 = SV242))=$false) | (((less_eq@SV114)@SV216)=$false) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_or_neg,[status(thm)],[1871])). 18.87/19.14 thf(1877,plain,(![SV242:a,SV114:a,SV257:a,SV216:a]: (((~ (SV216 = SV257))=$false) | (((less_eq@SV114)@SV216)=$false) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_or_neg,[status(thm)],[1871])). 18.87/19.14 thf(1878,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: ((((~ (SV114 = SV242)) | (~ (SV216 = SV257)))=$false) | (((less_eq@SV242)@SV257)=$false) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_pos,[status(thm)],[1872])). 18.87/19.14 thf(1879,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: ((((~ (SV114 = SV242)) | (~ (SV216 = SV257)))=$false) | (((less_eq@SV114)@SV216)=$false) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_pos,[status(thm)],[1873])). 18.87/19.14 thf(1880,plain,(![SV216:a,SV257:a,SV242:a,SV114:a]: (((SV114 = SV242)=$true) | (((less_eq@SV242)@SV257)=$false) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_neg,[status(thm)],[1874])). 18.87/19.14 thf(1881,plain,(![SV114:a,SV242:a,SV257:a,SV216:a]: (((SV216 = SV257)=$true) | (((less_eq@SV242)@SV257)=$false) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_neg,[status(thm)],[1875])). 18.87/19.14 thf(1882,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: (((SV114 = SV242)=$true) | (((less_eq@SV114)@SV216)=$false) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_neg,[status(thm)],[1876])). 18.87/19.14 thf(1883,plain,(![SV242:a,SV114:a,SV257:a,SV216:a]: (((SV216 = SV257)=$true) | (((less_eq@SV114)@SV216)=$false) | ((SV114 = SV242)=$false) | ((SV216 = SV257)=$false))),inference(extcnf_not_neg,[status(thm)],[1877])). 18.87/19.14 thf(1884,plain,(![SV216:a,SV257:a,SV242:a,SV114:a]: (((~ (SV114 = SV242))=$false) | (((less_eq@SV242)@SV257)=$false) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_or_neg,[status(thm)],[1878])). 18.87/19.14 thf(1885,plain,(![SV114:a,SV242:a,SV257:a,SV216:a]: (((~ (SV216 = SV257))=$false) | (((less_eq@SV242)@SV257)=$false) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_or_neg,[status(thm)],[1878])). 18.87/19.14 thf(1886,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: (((~ (SV114 = SV242))=$false) | (((less_eq@SV114)@SV216)=$false) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_or_neg,[status(thm)],[1879])). 18.87/19.14 thf(1887,plain,(![SV242:a,SV114:a,SV257:a,SV216:a]: (((~ (SV216 = SV257))=$false) | (((less_eq@SV114)@SV216)=$false) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_or_neg,[status(thm)],[1879])). 18.87/19.14 thf(1888,plain,(![SV216:a,SV257:a,SV242:a,SV114:a]: (((SV114 = SV242)=$true) | (((less_eq@SV242)@SV257)=$false) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_neg,[status(thm)],[1884])). 18.87/19.14 thf(1889,plain,(![SV114:a,SV242:a,SV257:a,SV216:a]: (((SV216 = SV257)=$true) | (((less_eq@SV242)@SV257)=$false) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_neg,[status(thm)],[1885])). 18.87/19.14 thf(1890,plain,(![SV257:a,SV216:a,SV242:a,SV114:a]: (((SV114 = SV242)=$true) | (((less_eq@SV114)@SV216)=$false) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_neg,[status(thm)],[1886])). 18.87/19.14 thf(1891,plain,(![SV242:a,SV114:a,SV257:a,SV216:a]: (((SV216 = SV257)=$true) | (((less_eq@SV114)@SV216)=$false) | (((less_eq@SV242)@SV257)=$true) | (((less_eq@SV114)@SV216)=$true))),inference(extcnf_not_neg,[status(thm)],[1887])). 18.87/19.14 thf(1892,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[498,1891,1890,1889,1888,1883,1882,1881,1880,1867,1861,1860,1856,1852,1848,1847,1846,1845,1844,1842,1841,1838,1837,1836,1835,1834,1829,1823,1822,1821,1820,1816,1813,1812,1809,1808,1803,1792,1791,1788,1786,1785,1784,1768,1764,1751,1745,1743,1740,1730,1727,1725,1715,1713,1711,1708,1707,1705,1702,1701,1699,1693,1687,1686,1684,1682,1680,1677,1668,1667,1659,1658,1651,1646,1637,1636,1630,1627,1626,1579,1578,1573,1570,1565,1559,1552,1547,1538,1537,1536,1535,1529,1521,1503,1496,1474,1458,1447,1446,1445,1444,1441,1440,1439,1438,1437,1436,1435,1434,1433,1432,1431,1430,1429,1428,1427,1426,1425,1424,1423,1422,1421,1420,1419,1418,1417,1416,1415,1414,1413,1412,1411,1410,1409,1400,1399,1398,1397,1396,1395,1391,1377,1374,1373,1335,1326,1325,1320,1300,1287,1286,1285,1284,1279,1278,1273,1266,1263,1262,1255,1249,1233,1220,1219,1217,1211,1210,1181,1170,1166,1163,1151,1143,1140,1139,1136,1129,1128,1123,1117,1115,1112,1111,1109,1108,1107,1106,1100,1086,1077,1069,1059,1052,1048,1042,1041,1040,1039,1038,1035,1031,1027,1025,1017,1014,1003,997,982,979,974,972,970,969,966,958,956,949,948,946,944,943,942,938,937,936,934,929,927,922,920,919,917,915,908,907,900,849,845,844,841,839,833,830,824,819,817,812,811,807,801,800,798,796,794,791,789,787,774,767,761,751,750,745,735,729,717,698,691,669,615,605,580,571,544,543,532,525,515,513,510,503])). 18.87/19.14 thf(1893,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[1892])). 18.87/19.14 % SZS output end CNFRefutation 18.87/19.14 18.87/19.14 %**** End of derivation protocol **** 18.87/19.14 %**** no. of clauses in derivation: 1762 **** 18.87/19.14 %**** clause counter: 1892 **** 18.87/19.14 18.87/19.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:139,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1892,loop_count:0,foatp_calls:1,translation:fof_full) 18.87/19.14 EOF