TSTP Solution File: SEV257^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV257^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 17:35:55 EDT 2022
% Result : Theorem 48.11s 48.30s
% Output : CNFRefutation 48.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEV257^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 15:00:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (rf:0,axioms:0,ps:3,u:6,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:2,loop_count:0,foatp_calls:0,translation:fof_full).................................................................................eprover: CPU time limit exceeded, terminating
% 28.35/28.54
% 28.35/28.54
% 28.35/28.54 Prim_subst applied to clause
% 28.35/28.54
% 28.35/28.54 205:[ 0:<SV59@(sK1_Xx@SV59) = $true>-w(1)-i() 1:<cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV59@SX1)) | (~ (SX1@SX0)))))))) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 27)-o(AXIOM)-fv([ SV59 ])
% 28.49/28.70 ......................................................................................................................................................
% 48.11/48.30
% 48.11/48.30 ********************************
% 48.11/48.30 * All subproblems solved! *
% 48.11/48.30 ********************************
% 48.11/48.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,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:572,loop_count:10,foatp_calls:3,translation:fof_full)
% 48.33/48.51
% 48.33/48.51 %**** Beginning of derivation protocol ****
% 48.33/48.51 % SZS output start CNFRefutation
% 48.33/48.51 thf(tp_a,type,(a: $tType)).
% 48.33/48.51 thf(tp_cOPEN,type,(cOPEN: ((a>$o)>$o))).
% 48.33/48.51 thf(tp_sK10_E,type,(sK10_E: a)).
% 48.33/48.51 thf(tp_sK11_E,type,(sK11_E: (((a>$o)>(a>$o))>a))).
% 48.33/48.51 thf(tp_sK12_E,type,(sK12_E: (((a>$o)>$o)>a))).
% 48.33/48.51 thf(tp_sK13_E,type,(sK13_E: (((a>$o)>(a>$o))>a))).
% 48.33/48.51 thf(tp_sK14_E,type,(sK14_E: (((a>$o)>(a>((a>$o)>$o)))>(a>$o)))).
% 48.33/48.51 thf(tp_sK15_SV144,type,(sK15_SV144: (((a>$o)>(a>((a>$o)>$o)))>(a>$o)))).
% 48.33/48.51 thf(tp_sK16_SX0,type,(sK16_SX0: (((a>$o)>(a>a))>(a>$o)))).
% 48.33/48.51 thf(tp_sK17_SY92,type,(sK17_SY92: (((a>$o)>$o)>(a>$o)))).
% 48.33/48.51 thf(tp_sK18_SX0,type,(sK18_SX0: (((a>$o)>(a>((a>$o)>$o)))>(a>$o)))).
% 48.33/48.51 thf(tp_sK19_SX0,type,(sK19_SX0: (((a>$o)>(a>a))>(a>$o)))).
% 48.33/48.51 thf(tp_sK1_Xx,type,(sK1_Xx: (((a>$o)>$o)>(a>$o)))).
% 48.33/48.51 thf(tp_sK20_SX0,type,(sK20_SX0: (((a>$o)>(a>$o))>(a>$o)))).
% 48.33/48.51 thf(tp_sK21_E,type,(sK21_E: a)).
% 48.33/48.51 thf(tp_sK22_E,type,(sK22_E: a)).
% 48.33/48.51 thf(tp_sK23_E,type,(sK23_E: a)).
% 48.33/48.51 thf(tp_sK24_E,type,(sK24_E: (((a>$o)>$o)>a))).
% 48.33/48.51 thf(tp_sK25_E,type,(sK25_E: (((a>$o)>$o)>a))).
% 48.33/48.51 thf(tp_sK26_E,type,(sK26_E: (((a>$o)>$o)>(((a>$o)>$o)>a)))).
% 48.33/48.51 thf(tp_sK27_E,type,(sK27_E: (((a>$o)>$o)>a))).
% 48.33/48.51 thf(tp_sK28_E,type,(sK28_E: (((a>$o)>$o)>a))).
% 48.33/48.51 thf(tp_sK29_SY150,type,(sK29_SY150: (((a>$o)>$o)>(a>$o)))).
% 48.33/48.51 thf(tp_sK2_E,type,(sK2_E: (((a>$o)>(a>$o))>a))).
% 48.33/48.51 thf(tp_sK30_SY151,type,(sK30_SY151: (((a>$o)>$o)>(((a>$o)>$o)>(a>$o))))).
% 48.33/48.51 thf(tp_sK31_SY152,type,(sK31_SY152: (((a>$o)>$o)>(a>$o)))).
% 48.33/48.51 thf(tp_sK32_SY153,type,(sK32_SY153: (((a>$o)>$o)>(a>$o)))).
% 48.33/48.51 thf(tp_sK33_E,type,(sK33_E: a)).
% 48.33/48.51 thf(tp_sK34_E,type,(sK34_E: a)).
% 48.33/48.51 thf(tp_sK35_E,type,(sK35_E: a)).
% 48.33/48.51 thf(tp_sK36_E,type,(sK36_E: a)).
% 48.33/48.51 thf(tp_sK37_E,type,(sK37_E: a)).
% 48.33/48.51 thf(tp_sK38_E,type,(sK38_E: a)).
% 48.33/48.51 thf(tp_sK39_E,type,(sK39_E: ((a>$o)>((a>$o)>a)))).
% 48.33/48.51 thf(tp_sK3_E,type,(sK3_E: (((a>$o)>(a>((a>$o)>$o)))>(a>$o)))).
% 48.33/48.51 thf(tp_sK40_E,type,(sK40_E: (((a>$o)>$o)>((a>$o)>((a>$o)>a))))).
% 48.33/48.51 thf(tp_sK41_E,type,(sK41_E: a)).
% 48.33/48.51 thf(tp_sK42_E,type,(sK42_E: a)).
% 48.33/48.51 thf(tp_sK43_E,type,(sK43_E: a)).
% 48.33/48.51 thf(tp_sK44_E,type,(sK44_E: a)).
% 48.33/48.51 thf(tp_sK45_E,type,(sK45_E: (a>$o))).
% 48.33/48.51 thf(tp_sK46_E,type,(sK46_E: a)).
% 48.33/48.51 thf(tp_sK47_E,type,(sK47_E: a)).
% 48.33/48.51 thf(tp_sK48_E,type,(sK48_E: a)).
% 48.33/48.51 thf(tp_sK49_E,type,(sK49_E: a)).
% 48.33/48.51 thf(tp_sK4_SV52,type,(sK4_SV52: (((a>$o)>(a>((a>$o)>$o)))>(a>$o)))).
% 48.33/48.51 thf(tp_sK50_E,type,(sK50_E: (a>$o))).
% 48.33/48.51 thf(tp_sK51_E,type,(sK51_E: a)).
% 48.33/48.51 thf(tp_sK52_E,type,(sK52_E: a)).
% 48.33/48.51 thf(tp_sK53_E,type,(sK53_E: a)).
% 48.33/48.51 thf(tp_sK54_E,type,(sK54_E: a)).
% 48.33/48.51 thf(tp_sK55_E,type,(sK55_E: (a>$o))).
% 48.33/48.51 thf(tp_sK56_E,type,(sK56_E: a)).
% 48.33/48.51 thf(tp_sK57_E,type,(sK57_E: a)).
% 48.33/48.51 thf(tp_sK58_E,type,(sK58_E: a)).
% 48.33/48.51 thf(tp_sK59_E,type,(sK59_E: a)).
% 48.33/48.51 thf(tp_sK5_SX0,type,(sK5_SX0: (((a>$o)>(a>a))>(a>$o)))).
% 48.33/48.51 thf(tp_sK60_E,type,(sK60_E: a)).
% 48.33/48.51 thf(tp_sK61_E,type,(sK61_E: (((a>$o)>(a>((a>$o)>a)))>a))).
% 48.33/48.51 thf(tp_sK62_E,type,(sK62_E: (((a>$o)>(a>((a>$o)>a)))>a))).
% 48.33/48.51 thf(tp_sK63_E,type,(sK63_E: (((a>$o)>$o)>(((a>$o)>(a>((a>$o)>a)))>a)))).
% 48.33/48.51 thf(tp_sK64_E,type,(sK64_E: (((a>$o)>$o)>(((a>$o)>(a>((a>$o)>a)))>a)))).
% 48.33/48.51 thf(tp_sK65_SY204,type,(sK65_SY204: (((a>$o)>(a>((a>$o)>a)))>(a>$o)))).
% 48.33/48.51 thf(tp_sK66_SY211,type,(sK66_SY211: (((a>$o)>(a>((a>$o)>a)))>(a>$o)))).
% 48.33/48.51 thf(tp_sK67_SY218,type,(sK67_SY218: (((a>$o)>$o)>(((a>$o)>(a>((a>$o)>a)))>(a>$o))))).
% 48.33/48.51 thf(tp_sK68_SY225,type,(sK68_SY225: (((a>$o)>$o)>(((a>$o)>(a>((a>$o)>a)))>(a>$o))))).
% 48.33/48.51 thf(tp_sK6_SX0,type,(sK6_SX0: (((a>$o)>(a>((a>$o)>$o)))>(a>$o)))).
% 48.33/48.51 thf(tp_sK7_SX0,type,(sK7_SX0: (((a>$o)>(a>a))>(a>$o)))).
% 48.33/48.51 thf(tp_sK8_SX0,type,(sK8_SX0: (((a>$o)>(a>$o))>(a>$o)))).
% 48.33/48.51 thf(tp_sK9_E,type,(sK9_E: a)).
% 48.33/48.51 thf(1,conjecture,((((cOPEN@(^[Xy:a]: $true)) & (![K:((a>$o)>$o)]: ((![Xx:(a>$o)]: ((K@Xx) => (cOPEN@Xx))) => (cOPEN@(^[Xx:a]: (?[S:(a>$o)]: ((K@S) & (S@Xx)))))))) & (![Y:(a>$o),Z:(a>$o)]: (((cOPEN@Y) & (cOPEN@Z)) => (cOPEN@(^[Xx:a]: ((Y@Xx) & (Z@Xx))))))) => (cOPEN@(^[Xy:a]: $false))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM625_pme)).
% 48.33/48.51 thf(2,negated_conjecture,((((((cOPEN@(^[Xy:a]: $true)) & (![K:((a>$o)>$o)]: ((![Xx:(a>$o)]: ((K@Xx) => (cOPEN@Xx))) => (cOPEN@(^[Xx:a]: (?[S:(a>$o)]: ((K@S) & (S@Xx)))))))) & (![Y:(a>$o),Z:(a>$o)]: (((cOPEN@Y) & (cOPEN@Z)) => (cOPEN@(^[Xx:a]: ((Y@Xx) & (Z@Xx))))))) => (cOPEN@(^[Xy:a]: $false)))=$false)),inference(negate_conjecture,[status(cth)],[1])).
% 48.33/48.51 thf(3,plain,((((((cOPEN@(^[Xy:a]: $true)) & (![K:((a>$o)>$o)]: ((![Xx:(a>$o)]: ((K@Xx) => (cOPEN@Xx))) => (cOPEN@(^[Xx:a]: (?[S:(a>$o)]: ((K@S) & (S@Xx)))))))) & (![Y:(a>$o),Z:(a>$o)]: (((cOPEN@Y) & (cOPEN@Z)) => (cOPEN@(^[Xx:a]: ((Y@Xx) & (Z@Xx))))))) => (cOPEN@(^[Xy:a]: $false)))=$false)),inference(unfold_def,[status(thm)],[2])).
% 48.33/48.51 thf(4,plain,(((cOPEN@(^[Xy:a]: $true))=$true)),inference(standard_cnf,[status(thm)],[3])).
% 48.33/48.51 thf(5,plain,(((![K:((a>$o)>$o)]: ((![Xx:(a>$o)]: ((K@Xx) => (cOPEN@Xx))) => (cOPEN@(^[Xx:a]: (?[S:(a>$o)]: ((K@S) & (S@Xx)))))))=$true)),inference(standard_cnf,[status(thm)],[3])).
% 48.33/48.51 thf(6,plain,(((![Y:(a>$o),Z:(a>$o)]: (((cOPEN@Y) & (cOPEN@Z)) => (cOPEN@(^[Xx:a]: ((Y@Xx) & (Z@Xx))))))=$true)),inference(standard_cnf,[status(thm)],[3])).
% 48.33/48.51 thf(7,plain,(((cOPEN@(^[Xy:a]: $false))=$false)),inference(standard_cnf,[status(thm)],[3])).
% 48.33/48.51 thf(8,plain,(((~ (cOPEN@(^[Xy:a]: $false)))=$true)),inference(polarity_switch,[status(thm)],[7])).
% 48.33/48.51 thf(9,plain,(((![K:((a>$o)>$o)]: (((K@(sK1_Xx@K)) & (~ (cOPEN@(sK1_Xx@K)))) | (cOPEN@(^[Xx:a]: (?[S:(a>$o)]: ((K@S) & (S@Xx)))))))=$true)),inference(extcnf_combined,[status(esa)],[5])).
% 48.33/48.51 thf(10,plain,(((![Y:(a>$o),Z:(a>$o)]: (((~ (cOPEN@Y)) | (~ (cOPEN@Z))) | (cOPEN@(^[Xx:a]: ((Y@Xx) & (Z@Xx))))))=$true)),inference(extcnf_combined,[status(esa)],[6])).
% 48.33/48.51 thf(11,plain,(((![Y:(a>$o),Z:(a>$o)]: (((~ (cOPEN@Y)) | (~ (cOPEN@Z))) | (cOPEN@(^[Xx:a]: ((Y@Xx) & (Z@Xx))))))=$true)),inference(copy,[status(thm)],[10])).
% 48.33/48.51 thf(12,plain,(((![K:((a>$o)>$o)]: (((K@(sK1_Xx@K)) & (~ (cOPEN@(sK1_Xx@K)))) | (cOPEN@(^[Xx:a]: (?[S:(a>$o)]: ((K@S) & (S@Xx)))))))=$true)),inference(copy,[status(thm)],[9])).
% 48.33/48.51 thf(13,plain,(((cOPEN@(^[Xy:a]: $true))=$true)),inference(copy,[status(thm)],[4])).
% 48.33/48.51 thf(14,plain,(((~ (cOPEN@(^[Xy:a]: $false)))=$true)),inference(copy,[status(thm)],[8])).
% 48.33/48.51 thf(15,plain,(((![SX0:((a>$o)>$o)]: ((~ ((~ (SX0@(sK1_Xx@SX0))) | (~ (~ (cOPEN@(sK1_Xx@SX0)))))) | (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ ((~ (SX0@SX2)) | (~ (SX2@SX1)))))))))))=$true)),inference(unfold_def,[status(thm)],[12])).
% 48.33/48.51 thf(16,plain,(((![SX0:(a>$o),SX1:(a>$o)]: (((~ (cOPEN@SX0)) | (~ (cOPEN@SX1))) | (cOPEN@(^[SX2:a]: (~ ((~ (SX0@SX2)) | (~ (SX1@SX2))))))))=$true)),inference(unfold_def,[status(thm)],[11])).
% 48.33/48.51 thf(17,plain,(((cOPEN@(^[Xy:a]: $false))=$false)),inference(extcnf_not_pos,[status(thm)],[14])).
% 48.33/48.51 thf(18,plain,(![SV1:((a>$o)>$o)]: ((((~ ((~ (SV1@(sK1_Xx@SV1))) | (~ (~ (cOPEN@(sK1_Xx@SV1)))))) | (cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9))))))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[15])).
% 48.33/48.51 thf(19,plain,(![SV2:(a>$o)]: (((![SY11:(a>$o)]: (((~ (cOPEN@SV2)) | (~ (cOPEN@SY11))) | (cOPEN@(^[SY12:a]: (~ ((~ (SV2@SY12)) | (~ (SY11@SY12))))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[16])).
% 48.33/48.51 thf(20,plain,(![SV1:((a>$o)>$o)]: (((~ ((~ (SV1@(sK1_Xx@SV1))) | (~ (~ (cOPEN@(sK1_Xx@SV1))))))=$true) | ((cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9)))))))))=$true))),inference(extcnf_or_pos,[status(thm)],[18])).
% 48.33/48.51 thf(21,plain,(![SV3:(a>$o),SV2:(a>$o)]: (((((~ (cOPEN@SV2)) | (~ (cOPEN@SV3))) | (cOPEN@(^[SY13:a]: (~ ((~ (SV2@SY13)) | (~ (SV3@SY13)))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[19])).
% 48.33/48.51 thf(22,plain,(![SV1:((a>$o)>$o)]: ((((~ (SV1@(sK1_Xx@SV1))) | (~ (~ (cOPEN@(sK1_Xx@SV1)))))=$false) | ((cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9)))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[20])).
% 48.33/48.51 thf(23,plain,(![SV3:(a>$o),SV2:(a>$o)]: ((((~ (cOPEN@SV2)) | (~ (cOPEN@SV3)))=$true) | ((cOPEN@(^[SY13:a]: (~ ((~ (SV2@SY13)) | (~ (SV3@SY13))))))=$true))),inference(extcnf_or_pos,[status(thm)],[21])).
% 48.33/48.51 thf(24,plain,(![SV1:((a>$o)>$o)]: (((~ (SV1@(sK1_Xx@SV1)))=$false) | ((cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9)))))))))=$true))),inference(extcnf_or_neg,[status(thm)],[22])).
% 48.33/48.51 thf(25,plain,(![SV1:((a>$o)>$o)]: (((~ (~ (cOPEN@(sK1_Xx@SV1))))=$false) | ((cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9)))))))))=$true))),inference(extcnf_or_neg,[status(thm)],[22])).
% 48.33/48.51 thf(26,plain,(![SV3:(a>$o),SV2:(a>$o)]: (((~ (cOPEN@SV2))=$true) | ((~ (cOPEN@SV3))=$true) | ((cOPEN@(^[SY13:a]: (~ ((~ (SV2@SY13)) | (~ (SV3@SY13))))))=$true))),inference(extcnf_or_pos,[status(thm)],[23])).
% 48.33/48.51 thf(27,plain,(![SV1:((a>$o)>$o)]: (((SV1@(sK1_Xx@SV1))=$true) | ((cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9)))))))))=$true))),inference(extcnf_not_neg,[status(thm)],[24])).
% 48.33/48.51 thf(28,plain,(![SV1:((a>$o)>$o)]: (((~ (cOPEN@(sK1_Xx@SV1)))=$true) | ((cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9)))))))))=$true))),inference(extcnf_not_neg,[status(thm)],[25])).
% 48.33/48.51 thf(29,plain,(![SV3:(a>$o),SV2:(a>$o)]: (((cOPEN@SV2)=$false) | ((~ (cOPEN@SV3))=$true) | ((cOPEN@(^[SY13:a]: (~ ((~ (SV2@SY13)) | (~ (SV3@SY13))))))=$true))),inference(extcnf_not_pos,[status(thm)],[26])).
% 48.33/48.51 thf(30,plain,(![SV1:((a>$o)>$o)]: (((cOPEN@(sK1_Xx@SV1))=$false) | ((cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9)))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[28])).
% 48.33/48.51 thf(31,plain,(![SV2:(a>$o),SV3:(a>$o)]: (((cOPEN@SV3)=$false) | ((cOPEN@SV2)=$false) | ((cOPEN@(^[SY13:a]: (~ ((~ (SV2@SY13)) | (~ (SV3@SY13))))))=$true))),inference(extcnf_not_pos,[status(thm)],[29])).
% 48.33/48.51 thf(33,plain,((($false)=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ ($false)) | (~ (SX1@SX0)))))))))=$true)),inference(prim_subst,[status(thm)],[27:[bind(SV1,$thf(^[SV6:(a>$o)]: $false))]])).
% 48.33/48.51 thf(34,plain,(![SV5:((a>$o)>$o)]: (((~ (SV5@(sK1_Xx@(^[SX0:(a>$o)]: (~ (SV5@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (~ (SV5@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(prim_subst,[status(thm)],[27:[bind(SV1,$thf(^[SV4:(a>$o)]: (~ (SV5@SV4))))]])).
% 48.33/48.51 thf(38,plain,(![SV1:((a>$o)>$o)]: (((SV1@(sK1_Xx@SV1))=$true) | (((SV1@(sK1_Xx@SV1)) = (cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9))))))))))=$false))),inference(fac_restr,[status(thm)],[27])).
% 48.33/48.51 thf(39,plain,(![SV1:((a>$o)>$o)]: ((((~ ((SV1@(sK1_Xx@SV1)) | (cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9))))))))))) | (~ ((~ (SV1@(sK1_Xx@SV1))) | (~ (cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9)))))))))))))=$false) | ((SV1@(sK1_Xx@SV1))=$true))),inference(extcnf_equal_neg,[status(thm)],[38])).
% 48.33/48.51 thf(40,plain,(![SV1:((a>$o)>$o)]: ((((SV1@(sK1_Xx@SV1)) = (cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9))))))))))=$false) | ((SV1@(sK1_Xx@SV1))=$true))),inference(extcnf_equal_neg,[status(thm)],[38])).
% 48.33/48.51 thf(41,plain,(![SV1:((a>$o)>$o)]: (((~ ((SV1@(sK1_Xx@SV1)) | (cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9)))))))))))=$false) | ((SV1@(sK1_Xx@SV1))=$true))),inference(extcnf_or_neg,[status(thm)],[39])).
% 48.33/48.51 thf(43,plain,(![SV1:((a>$o)>$o)]: ((((SV1@(sK1_Xx@SV1)) | (cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9))))))))))=$true) | ((SV1@(sK1_Xx@SV1))=$true))),inference(extcnf_not_neg,[status(thm)],[41])).
% 48.33/48.51 thf(45,plain,(![SV1:((a>$o)>$o)]: (((SV1@(sK1_Xx@SV1))=$true) | ((cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9)))))))))=$true) | ((SV1@(sK1_Xx@SV1))=$true))),inference(extcnf_or_pos,[status(thm)],[43])).
% 48.33/48.51 thf(49,plain,(![SV9:((a>$o)>a)]: ((((sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV9@SX0))))@(SV9@(sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV9@SX0))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV9@SX0))))@(SV9@(sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV9@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SX1@(SV9@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (SX0@(SV9@SX0))))]])).
% 48.33/48.51 thf(51,plain,(![SV14:((a>$o)>(a>a))]: (((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$true) | ((~ (![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2)))))))))))=$true))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))]])).
% 48.33/48.51 thf(52,plain,(![SV14:((a>$o)>(a>a))]: (((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$false) | ((~ (![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2)))))))))))=$false))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))]])).
% 48.33/48.51 thf(53,plain,(![SV20:((a>$o)>(a>a))]: (((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$true) | ((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))))))=$true))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))]])).
% 48.33/48.51 thf(54,plain,(![SV20:((a>$o)>(a>a))]: (((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$false) | ((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))))))=$false))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))]])).
% 48.33/48.51 thf(55,plain,(![SV28:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(((SV28@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))=$true) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))))=$true))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))))]])).
% 48.33/48.51 thf(56,plain,(![SV28:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(((SV28@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))=$false) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))))=$false))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))))]])).
% 48.33/48.51 thf(57,plain,(![SV27:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))))))@(((SV27@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))@(((SV27@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))=$true) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))@(((SV27@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))))=$true))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))]])).
% 48.33/48.51 thf(58,plain,(![SV27:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))))))@(((SV27@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))@(((SV27@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))=$false) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))@(((SV27@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))))=$false))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))]])).
% 48.33/48.51 thf(59,plain,(![SV37:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(((SV37@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))=$true) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))))))=$true))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))))]])).
% 48.33/48.51 thf(60,plain,(![SV37:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(((SV37@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))=$false) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))))))=$false))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))))]])).
% 48.33/48.51 thf(61,plain,(![SV36:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))))))@(((SV36@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))@(((SV36@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))=$true) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))@(((SV36@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))))=$true))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))]])).
% 48.33/48.51 thf(62,plain,(![SV36:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))))))@(((SV36@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))@(((SV36@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))=$false) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))@(((SV36@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))))=$false))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))]])).
% 48.33/48.51 thf(63,plain,(![SV41:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((~ (((SV41@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))))=$true) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))))))))=$true))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))))))]])).
% 48.33/48.51 thf(64,plain,(![SV41:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((~ (((SV41@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))))=$false) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))))))))=$false))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))))))]])).
% 48.33/48.51 thf(65,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((~ (((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))))=$true) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))))=$true))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))))))]])).
% 48.33/48.51 thf(66,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((~ (((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))))=$false) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))))=$false))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))))))]])).
% 48.33/48.51 thf(67,plain,(![SV23:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((! ((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1)))))))=$true) | ((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1)))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2)))))))))))=$true))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1)))))))]])).
% 48.33/48.51 thf(68,plain,(![SV23:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((! ((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1)))))))=$false) | ((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1)))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2)))))))))))=$false))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1)))))))]])).
% 48.33/48.51 thf(69,plain,(![SV17:((a>$o)>(a>$o))]: (((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | ((~ ((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1))))))=$true) | ((~ (![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2)))))))))))=$true))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1))))))]])).
% 48.33/48.51 thf(70,plain,(![SV17:((a>$o)>(a>$o))]: (((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | ((~ ((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1))))))=$false) | ((~ (![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2)))))))))))=$false))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1))))))]])).
% 48.33/48.51 thf(71,plain,(![SV11:((a>$o)>(a>$o))]: (((cOPEN@(SV11@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(SV11@SX0))))))=$true) | ((cOPEN@(SV11@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(SV11@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (cOPEN@(SV11@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(extuni,[status(esa)],[40:[bind(SV1,$thf(^[SX0:(a>$o)]: (cOPEN@(SV11@SX0))))]])).
% 48.33/48.51 thf(73,plain,(![SV17:((a>$o)>(a>$o))]: ((((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | ((~ (![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2)))))))))))=$false))),inference(extcnf_not_neg,[status(thm)],[70])).
% 48.33/48.51 thf(74,plain,(![SV17:((a>$o)>(a>$o))]: ((((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | ((~ (![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2)))))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[69])).
% 48.33/48.51 thf(75,plain,(![SV23:((a>$o)>(a>((a>$o)>$o)))]: (((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@(sK4_SV52@SV23))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1)))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2)))))))))))=$false))),inference(extcnf_forall_neg,[status(esa)],[68])).
% 48.33/48.51 thf(76,plain,(![SV54:(a>$o),SV23:((a>$o)>(a>((a>$o)>$o)))]: (((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@SV54)=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1)))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2)))))))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[67])).
% 48.33/48.51 thf(77,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: (((((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))))=$false))),inference(extcnf_not_neg,[status(thm)],[66])).
% 48.33/48.51 thf(78,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: (((((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[65])).
% 48.33/48.51 thf(79,plain,(![SV41:((a>$o)>(a>((a>$o)>$o)))]: (((((SV41@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))))))))=$false))),inference(extcnf_not_neg,[status(thm)],[64])).
% 48.33/48.51 thf(80,plain,(![SV41:((a>$o)>(a>((a>$o)>$o)))]: (((((SV41@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[63])).
% 48.33/48.51 thf(81,plain,(![SV36:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))@(((SV36@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))@(((SV36@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))))))@(((SV36@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[62])).
% 48.33/48.51 thf(82,plain,(![SV36:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))@(((SV36@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))@(((SV36@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))))))@(((SV36@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[61])).
% 48.33/48.51 thf(83,plain,(![SV37:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(((SV37@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[60])).
% 48.33/48.51 thf(84,plain,(![SV37:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))))=$false) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(((SV37@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[59])).
% 48.33/48.51 thf(85,plain,(![SV27:((a>$o)>(a>((a>$o)>a)))]: (((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))@(((SV27@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))@(((SV27@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))))))@(((SV27@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[58])).
% 48.33/48.51 thf(86,plain,(![SV27:((a>$o)>(a>((a>$o)>a)))]: (((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))@(((SV27@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))@(((SV27@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))))))@(((SV27@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[57])).
% 48.33/48.51 thf(87,plain,(![SV28:((a>$o)>(a>((a>$o)>a)))]: (((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(((SV28@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[56])).
% 48.33/48.51 thf(88,plain,(![SV28:((a>$o)>(a>((a>$o)>a)))]: (((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))))))=$false) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(((SV28@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[55])).
% 48.33/48.51 thf(89,plain,(![SV20:((a>$o)>(a>a))]: (((~ (~ ((~ (cOPEN@(^[SY48:a]: (~ ((sK5_SX0@SV20)@((SV20@(sK5_SX0@SV20))@SY48)))))) | (~ ((sK5_SX0@SV20)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_forall_neg,[status(esa)],[54])).
% 48.33/48.51 thf(90,plain,(![SV20:((a>$o)>(a>a)),SV55:(a>$o)]: (((~ (~ ((~ (cOPEN@(^[SY51:a]: (~ (SV55@((SV20@SV55)@SY51)))))) | (~ (SV55@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[53])).
% 48.33/48.51 thf(91,plain,(![SV14:((a>$o)>(a>a))]: (((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2))))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[52])).
% 48.33/48.51 thf(92,plain,(![SV14:((a>$o)>(a>a))]: (((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2))))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[51])).
% 48.33/48.51 thf(93,plain,(![SV17:((a>$o)>(a>$o))]: (((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$true))),inference(extcnf_not_neg,[status(thm)],[73])).
% 48.33/48.51 thf(94,plain,(![SV17:((a>$o)>(a>$o))]: (((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1))))) | (~ (SX0@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$false))),inference(extcnf_not_pos,[status(thm)],[74])).
% 48.33/48.51 thf(95,plain,(![SV23:((a>$o)>(a>((a>$o)>$o)))]: (((~ (~ ((~ (cOPEN@(^[SY54:a]: (~ (! ((SV23@(sK6_SX0@SV23))@SY54)))))) | (~ ((sK6_SX0@SV23)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@(sK4_SV52@SV23))=$false))),inference(extcnf_forall_neg,[status(esa)],[75])).
% 48.33/48.51 thf(96,plain,(![SV54:(a>$o),SV56:(a>$o),SV23:((a>$o)>(a>((a>$o)>$o)))]: (((~ (~ ((~ (cOPEN@(^[SY57:a]: (~ (! ((SV23@SV56)@SY57)))))) | (~ (SV56@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@SV54)=$true))),inference(extcnf_forall_pos,[status(thm)],[76])).
% 48.33/48.51 thf(97,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))=$true))),inference(extcnf_not_neg,[status(thm)],[77])).
% 48.33/48.51 thf(98,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))=$false))),inference(extcnf_not_pos,[status(thm)],[78])).
% 48.33/48.51 thf(99,plain,(![SV41:((a>$o)>(a>((a>$o)>$o)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((((SV41@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))=$true))),inference(extcnf_not_neg,[status(thm)],[79])).
% 48.33/48.51 thf(100,plain,(![SV41:((a>$o)>(a>((a>$o)>$o)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((((SV41@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))=$false))),inference(extcnf_not_pos,[status(thm)],[80])).
% 48.33/48.51 thf(101,plain,(![SV36:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))@(((SV36@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))@SX0)@SX1))))))))=$true) | ((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))@(((SV36@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))))))@(((SV36@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[81])).
% 48.33/48.51 thf(102,plain,(![SV36:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))@(((SV36@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))@SX0)@SX1))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))@(((SV36@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))))))@(((SV36@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[82])).
% 48.33/48.51 thf(103,plain,(![SV36:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))@(((SV36@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))))))@(((SV36@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[82])).
% 48.33/48.51 thf(104,plain,(![SV37:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))@SX0)@SX1))))))))=$true) | ((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(((SV37@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[83])).
% 48.33/48.51 thf(105,plain,(![SV37:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))@SX0)@SX1))))))))=$false) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(((SV37@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[84])).
% 48.33/48.51 thf(106,plain,(![SV37:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))))=$false) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(((SV37@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[84])).
% 48.33/48.51 thf(107,plain,(![SV27:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))@(((SV27@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))@(((SV27@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))))))@(((SV27@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[85])).
% 48.33/48.51 thf(108,plain,(![SV27:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))@(((SV27@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))@(((SV27@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))))))@(((SV27@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[86])).
% 48.33/48.51 thf(109,plain,(![SV28:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))=$false) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(((SV28@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[87])).
% 48.33/48.51 thf(110,plain,(![SV28:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(((SV28@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[88])).
% 48.33/48.51 thf(111,plain,(![SV20:((a>$o)>(a>a))]: (((~ ((~ (cOPEN@(^[SY48:a]: (~ ((sK5_SX0@SV20)@((SV20@(sK5_SX0@SV20))@SY48)))))) | (~ ((sK5_SX0@SV20)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_neg,[status(thm)],[89])).
% 48.33/48.51 thf(112,plain,(![SV20:((a>$o)>(a>a)),SV55:(a>$o)]: (((~ ((~ (cOPEN@(^[SY51:a]: (~ (SV55@((SV20@SV55)@SY51)))))) | (~ (SV55@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_pos,[status(thm)],[90])).
% 48.33/48.51 thf(113,plain,(![SV14:((a>$o)>(a>a)),SV57:(a>$o)]: (((~ (~ ((~ (cOPEN@(^[SY60:a]: (SV57@((SV14@SV57)@SY60))))) | (~ (SV57@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_forall_pos,[status(thm)],[91])).
% 48.33/48.51 thf(114,plain,(![SV14:((a>$o)>(a>a))]: (((~ (~ ((~ (cOPEN@(^[SY63:a]: ((sK7_SX0@SV14)@((SV14@(sK7_SX0@SV14))@SY63))))) | (~ ((sK7_SX0@SV14)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2)))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_forall_neg,[status(esa)],[92])).
% 48.33/48.51 thf(115,plain,(![SV58:(a>$o),SV17:((a>$o)>(a>$o))]: (((~ (~ ((~ (cOPEN@(^[SY66:a]: (~ ((SV17@SV58)@SY66))))) | (~ (SV58@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2)))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[93])).
% 48.33/48.51 thf(116,plain,(![SV17:((a>$o)>(a>$o))]: (((~ (~ ((~ (cOPEN@(^[SY69:a]: (~ ((SV17@(sK8_SX0@SV17))@SY69))))) | (~ ((sK8_SX0@SV17)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2)))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$false))),inference(extcnf_forall_neg,[status(esa)],[94])).
% 48.33/48.51 thf(117,plain,(![SV23:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((~ (cOPEN@(^[SY54:a]: (~ (! ((SV23@(sK6_SX0@SV23))@SY54)))))) | (~ ((sK6_SX0@SV23)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2)))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@(sK4_SV52@SV23))=$false))),inference(extcnf_not_neg,[status(thm)],[95])).
% 48.33/48.51 thf(118,plain,(![SV54:(a>$o),SV56:(a>$o),SV23:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((~ (cOPEN@(^[SY57:a]: (~ (! ((SV23@SV56)@SY57)))))) | (~ (SV56@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2)))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@SV54)=$true))),inference(extcnf_not_pos,[status(thm)],[96])).
% 48.33/48.51 thf(119,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))=$true))),inference(extcnf_not_pos,[status(thm)],[97])).
% 48.33/48.51 thf(120,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))=$false))),inference(extcnf_not_neg,[status(thm)],[98])).
% 48.33/48.51 thf(121,plain,(![SV41:((a>$o)>(a>((a>$o)>$o)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))@SX0)@SX1))))))))=$true) | ((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((((SV41@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))=$true))),inference(extcnf_or_pos,[status(thm)],[99])).
% 48.33/48.51 thf(122,plain,(![SV41:((a>$o)>(a>((a>$o)>$o)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))@SX0)@SX1))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((((SV41@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))=$false))),inference(extcnf_or_neg,[status(thm)],[100])).
% 48.33/48.51 thf(123,plain,(![SV41:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((((SV41@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))=$false))),inference(extcnf_or_neg,[status(thm)],[100])).
% 48.33/48.51 thf(124,plain,(![SV36:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))@(((SV36@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$false) | ((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))@(((SV36@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))))))@(((SV36@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[101])).
% 48.33/48.51 thf(125,plain,(![SV36:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))@(((SV36@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))@(((SV36@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))))))@(((SV36@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[102])).
% 48.33/48.51 thf(126,plain,(![SV36:((a>$o)>(a>((a>$o)>a)))]: ((((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))@(((SV36@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))))))@(((SV36@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[103])).
% 48.33/48.51 thf(127,plain,(![SV37:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$false) | ((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(((SV37@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[104])).
% 48.33/48.51 thf(128,plain,(![SV37:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(((SV37@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[105])).
% 48.33/48.51 thf(129,plain,(![SV37:((a>$o)>(a>((a>$o)>a)))]: ((((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(((SV37@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[106])).
% 48.33/48.51 thf(130,plain,(![SV27:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))@(((SV27@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))@SX0)@SX1)))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))@(((SV27@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))))))@(((SV27@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_neg,[status(thm)],[107])).
% 48.33/48.51 thf(131,plain,(![SV27:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))@(((SV27@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))))))@(((SV27@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_neg,[status(thm)],[107])).
% 48.33/48.51 thf(132,plain,(![SV27:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))@(((SV27@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))@SX0)@SX1)))))))=$true) | ((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))@(((SV27@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))))))@(((SV27@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_pos,[status(thm)],[108])).
% 48.33/48.51 thf(133,plain,(![SV28:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))@SX0)@SX1)))))))=$false) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(((SV28@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_neg,[status(thm)],[109])).
% 48.33/48.51 thf(134,plain,(![SV28:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))))=$false) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(((SV28@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_neg,[status(thm)],[109])).
% 48.33/48.51 thf(135,plain,(![SV28:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))@SX0)@SX1)))))))=$true) | ((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(((SV28@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_pos,[status(thm)],[110])).
% 48.33/48.51 thf(136,plain,(![SV20:((a>$o)>(a>a))]: ((((~ (cOPEN@(^[SY48:a]: (~ ((sK5_SX0@SV20)@((SV20@(sK5_SX0@SV20))@SY48)))))) | (~ ((sK5_SX0@SV20)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_pos,[status(thm)],[111])).
% 48.33/48.51 thf(137,plain,(![SV20:((a>$o)>(a>a)),SV55:(a>$o)]: ((((~ (cOPEN@(^[SY51:a]: (~ (SV55@((SV20@SV55)@SY51)))))) | (~ (SV55@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_neg,[status(thm)],[112])).
% 48.33/48.51 thf(138,plain,(![SV14:((a>$o)>(a>a)),SV57:(a>$o)]: (((~ ((~ (cOPEN@(^[SY60:a]: (SV57@((SV14@SV57)@SY60))))) | (~ (SV57@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[113])).
% 48.33/48.51 thf(139,plain,(![SV14:((a>$o)>(a>a))]: (((~ ((~ (cOPEN@(^[SY63:a]: ((sK7_SX0@SV14)@((SV14@(sK7_SX0@SV14))@SY63))))) | (~ ((sK7_SX0@SV14)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[114])).
% 48.33/48.51 thf(140,plain,(![SV58:(a>$o),SV17:((a>$o)>(a>$o))]: (((~ ((~ (cOPEN@(^[SY66:a]: (~ ((SV17@SV58)@SY66))))) | (~ (SV58@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$true))),inference(extcnf_not_pos,[status(thm)],[115])).
% 48.33/48.51 thf(141,plain,(![SV17:((a>$o)>(a>$o))]: (((~ ((~ (cOPEN@(^[SY69:a]: (~ ((SV17@(sK8_SX0@SV17))@SY69))))) | (~ ((sK8_SX0@SV17)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$false))),inference(extcnf_not_neg,[status(thm)],[116])).
% 48.33/48.51 thf(142,plain,(![SV23:((a>$o)>(a>((a>$o)>$o)))]: ((((~ (cOPEN@(^[SY54:a]: (~ (! ((SV23@(sK6_SX0@SV23))@SY54)))))) | (~ ((sK6_SX0@SV23)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@(sK4_SV52@SV23))=$false))),inference(extcnf_not_pos,[status(thm)],[117])).
% 48.33/48.51 thf(143,plain,(![SV54:(a>$o),SV56:(a>$o),SV23:((a>$o)>(a>((a>$o)>$o)))]: ((((~ (cOPEN@(^[SY57:a]: (~ (! ((SV23@SV56)@SY57)))))) | (~ (SV56@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@SV54)=$true))),inference(extcnf_not_neg,[status(thm)],[118])).
% 48.33/48.51 thf(144,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))=$true))),inference(extcnf_or_neg,[status(thm)],[119])).
% 48.33/48.51 thf(145,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))=$true))),inference(extcnf_or_neg,[status(thm)],[119])).
% 48.33/48.51 thf(146,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))@SX0)@SX1)))))))=$true) | ((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))=$false))),inference(extcnf_or_pos,[status(thm)],[120])).
% 48.33/48.51 thf(147,plain,(![SV41:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$false) | ((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((((SV41@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))=$true))),inference(extcnf_not_pos,[status(thm)],[121])).
% 48.33/48.51 thf(148,plain,(![SV41:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((((SV41@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))=$false))),inference(extcnf_not_neg,[status(thm)],[122])).
% 48.33/48.51 thf(149,plain,(![SV41:((a>$o)>(a>((a>$o)>$o)))]: ((((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((((SV41@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))=$false))),inference(extcnf_not_neg,[status(thm)],[123])).
% 48.33/48.51 thf(150,plain,(![SV36:((a>$o)>(a>((a>$o)>a)))]: ((((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))@(((SV36@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))))@(((SV36@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV36@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4)))))))))@(((SV36@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV36@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[124])).
% 48.33/48.51 thf(151,plain,(![SV37:((a>$o)>(a>((a>$o)>a)))]: ((((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$false) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))@(((SV37@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV37@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV37@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV37@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[127])).
% 48.33/48.51 thf(152,plain,(![SV27:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))@(((SV27@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))@(((SV27@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))))))@(((SV27@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[130])).
% 48.33/48.51 thf(153,plain,(![SV27:((a>$o)>(a>((a>$o)>a)))]: ((((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))@(((SV27@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))))))@(((SV27@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[131])).
% 48.33/48.51 thf(154,plain,(![SV27:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))@(((SV27@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$false) | ((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))@(((SV27@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))))))@(((SV27@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[132])).
% 48.33/48.51 thf(155,plain,(![SV28:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(((SV28@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[133])).
% 48.33/48.51 thf(156,plain,(![SV28:((a>$o)>(a>((a>$o)>a)))]: ((((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(((SV28@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[134])).
% 48.33/48.51 thf(157,plain,(![SV28:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$false) | ((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))))=$true) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(((SV28@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[135])).
% 48.33/48.51 thf(158,plain,(![SV20:((a>$o)>(a>a))]: (((~ (cOPEN@(^[SY48:a]: (~ ((sK5_SX0@SV20)@((SV20@(sK5_SX0@SV20))@SY48))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_or_neg,[status(thm)],[136])).
% 48.33/48.51 thf(159,plain,(![SV20:((a>$o)>(a>a))]: (((~ ((sK5_SX0@SV20)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_or_neg,[status(thm)],[136])).
% 48.33/48.51 thf(160,plain,(![SV20:((a>$o)>(a>a)),SV55:(a>$o)]: (((~ (cOPEN@(^[SY51:a]: (~ (SV55@((SV20@SV55)@SY51))))))=$true) | ((~ (SV55@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_or_pos,[status(thm)],[137])).
% 48.33/48.51 thf(161,plain,(![SV14:((a>$o)>(a>a)),SV57:(a>$o)]: ((((~ (cOPEN@(^[SY60:a]: (SV57@((SV14@SV57)@SY60))))) | (~ (SV57@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[138])).
% 48.33/48.51 thf(162,plain,(![SV14:((a>$o)>(a>a))]: ((((~ (cOPEN@(^[SY63:a]: ((sK7_SX0@SV14)@((SV14@(sK7_SX0@SV14))@SY63))))) | (~ ((sK7_SX0@SV14)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2)))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[139])).
% 48.33/48.51 thf(163,plain,(![SV58:(a>$o),SV17:((a>$o)>(a>$o))]: ((((~ (cOPEN@(^[SY66:a]: (~ ((SV17@SV58)@SY66))))) | (~ (SV58@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$true))),inference(extcnf_not_neg,[status(thm)],[140])).
% 48.33/48.51 thf(164,plain,(![SV17:((a>$o)>(a>$o))]: ((((~ (cOPEN@(^[SY69:a]: (~ ((SV17@(sK8_SX0@SV17))@SY69))))) | (~ ((sK8_SX0@SV17)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$false))),inference(extcnf_not_pos,[status(thm)],[141])).
% 48.33/48.51 thf(165,plain,(![SV23:((a>$o)>(a>((a>$o)>$o)))]: (((~ (cOPEN@(^[SY54:a]: (~ (! ((SV23@(sK6_SX0@SV23))@SY54))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@(sK4_SV52@SV23))=$false))),inference(extcnf_or_neg,[status(thm)],[142])).
% 48.33/48.51 thf(166,plain,(![SV23:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((sK6_SX0@SV23)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@(sK4_SV52@SV23))=$false))),inference(extcnf_or_neg,[status(thm)],[142])).
% 48.33/48.51 thf(167,plain,(![SV54:(a>$o),SV56:(a>$o),SV23:((a>$o)>(a>((a>$o)>$o)))]: (((~ (cOPEN@(^[SY57:a]: (~ (! ((SV23@SV56)@SY57))))))=$true) | ((~ (SV56@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@SV54)=$true))),inference(extcnf_or_pos,[status(thm)],[143])).
% 48.33/48.51 thf(168,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))=$true))),inference(extcnf_not_neg,[status(thm)],[144])).
% 48.33/48.51 thf(169,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: ((((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))=$true))),inference(extcnf_not_neg,[status(thm)],[145])).
% 48.33/48.51 thf(170,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$false) | ((~ ((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))=$false))),inference(extcnf_not_pos,[status(thm)],[146])).
% 48.33/48.51 thf(171,plain,(![SV41:((a>$o)>(a>((a>$o)>$o)))]: ((((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2)))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV41@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV41@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((((SV41@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV41@SX0)@SX1)@SX2))))))=$true))),inference(extcnf_not_pos,[status(thm)],[147])).
% 48.33/48.51 thf(172,plain,(![SV27:((a>$o)>(a>((a>$o)>a)))]: ((((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))@(((SV27@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))))@(((SV27@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV27@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4))))))))@(((SV27@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV27@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[154])).
% 48.33/48.51 thf(173,plain,(![SV28:((a>$o)>(a>((a>$o)>a)))]: ((((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$false) | (((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))@(((SV28@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV28@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV28@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV28@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[157])).
% 48.33/48.51 thf(174,plain,(![SV20:((a>$o)>(a>a))]: (((cOPEN@(^[SY48:a]: (~ ((sK5_SX0@SV20)@((SV20@(sK5_SX0@SV20))@SY48)))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_neg,[status(thm)],[158])).
% 48.33/48.51 thf(175,plain,(![SV20:((a>$o)>(a>a))]: ((((sK5_SX0@SV20)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_neg,[status(thm)],[159])).
% 48.33/48.51 thf(176,plain,(![SV20:((a>$o)>(a>a)),SV55:(a>$o)]: (((cOPEN@(^[SY51:a]: (~ (SV55@((SV20@SV55)@SY51)))))=$false) | ((~ (SV55@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_pos,[status(thm)],[160])).
% 48.33/48.51 thf(177,plain,(![SV14:((a>$o)>(a>a)),SV57:(a>$o)]: (((~ (cOPEN@(^[SY60:a]: (SV57@((SV14@SV57)@SY60)))))=$true) | ((~ (SV57@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_or_pos,[status(thm)],[161])).
% 48.33/48.51 thf(178,plain,(![SV14:((a>$o)>(a>a))]: (((~ (cOPEN@(^[SY63:a]: ((sK7_SX0@SV14)@((SV14@(sK7_SX0@SV14))@SY63)))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_or_neg,[status(thm)],[162])).
% 48.33/48.51 thf(179,plain,(![SV14:((a>$o)>(a>a))]: (((~ ((sK7_SX0@SV14)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_or_neg,[status(thm)],[162])).
% 48.33/48.51 thf(180,plain,(![SV58:(a>$o),SV17:((a>$o)>(a>$o))]: (((~ (cOPEN@(^[SY66:a]: (~ ((SV17@SV58)@SY66)))))=$true) | ((~ (SV58@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$true))),inference(extcnf_or_pos,[status(thm)],[163])).
% 48.33/48.51 thf(181,plain,(![SV17:((a>$o)>(a>$o))]: (((~ (cOPEN@(^[SY69:a]: (~ ((SV17@(sK8_SX0@SV17))@SY69)))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$false))),inference(extcnf_or_neg,[status(thm)],[164])).
% 48.33/48.51 thf(182,plain,(![SV17:((a>$o)>(a>$o))]: (((~ ((sK8_SX0@SV17)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$false))),inference(extcnf_or_neg,[status(thm)],[164])).
% 48.33/48.51 thf(183,plain,(![SV23:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SY54:a]: (~ (! ((SV23@(sK6_SX0@SV23))@SY54)))))=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@(sK4_SV52@SV23))=$false))),inference(extcnf_not_neg,[status(thm)],[165])).
% 48.33/48.51 thf(184,plain,(![SV23:((a>$o)>(a>((a>$o)>$o)))]: ((((sK6_SX0@SV23)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@(sK4_SV52@SV23))=$false))),inference(extcnf_not_neg,[status(thm)],[166])).
% 48.33/48.51 thf(185,plain,(![SV54:(a>$o),SV56:(a>$o),SV23:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SY57:a]: (~ (! ((SV23@SV56)@SY57)))))=$false) | ((~ (SV56@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@SV54)=$true))),inference(extcnf_not_pos,[status(thm)],[167])).
% 48.33/48.51 thf(186,plain,(![SV32:((a>$o)>(a>((a>$o)>$o)))]: ((((sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV32@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV32@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true) | ((((SV32@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV32@SX0)@SX1)@SX2)))))=$false))),inference(extcnf_not_pos,[status(thm)],[170])).
% 48.33/48.51 thf(187,plain,(![SV20:((a>$o)>(a>a)),SV55:(a>$o)]: (((SV55@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))=$false) | ((cOPEN@(^[SY51:a]: (~ (SV55@((SV20@SV55)@SY51)))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))@((SV20@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV20@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV20@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2)))))))@((SV20@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV20@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_pos,[status(thm)],[176])).
% 48.33/48.51 thf(188,plain,(![SV14:((a>$o)>(a>a)),SV57:(a>$o)]: (((cOPEN@(^[SY60:a]: (SV57@((SV14@SV57)@SY60))))=$false) | ((~ (SV57@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[177])).
% 48.33/48.51 thf(189,plain,(![SV14:((a>$o)>(a>a))]: (((cOPEN@(^[SY63:a]: ((sK7_SX0@SV14)@((SV14@(sK7_SX0@SV14))@SY63))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[178])).
% 48.33/48.51 thf(190,plain,(![SV14:((a>$o)>(a>a))]: ((((sK7_SX0@SV14)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2)))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[179])).
% 48.33/48.51 thf(191,plain,(![SV58:(a>$o),SV17:((a>$o)>(a>$o))]: (((cOPEN@(^[SY66:a]: (~ ((SV17@SV58)@SY66))))=$false) | ((~ (SV58@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$true))),inference(extcnf_not_pos,[status(thm)],[180])).
% 48.33/48.51 thf(192,plain,(![SV17:((a>$o)>(a>$o))]: (((cOPEN@(^[SY69:a]: (~ ((SV17@(sK8_SX0@SV17))@SY69))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$false))),inference(extcnf_not_neg,[status(thm)],[181])).
% 48.33/48.51 thf(193,plain,(![SV17:((a>$o)>(a>$o))]: ((((sK8_SX0@SV17)@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2)))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$false))),inference(extcnf_not_neg,[status(thm)],[182])).
% 48.33/48.51 thf(194,plain,(![SV54:(a>$o),SV23:((a>$o)>(a>((a>$o)>$o))),SV56:(a>$o)]: (((SV56@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV23@SX1)@SX2))))))=$false) | ((cOPEN@(^[SY57:a]: (~ (! ((SV23@SV56)@SY57)))))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV23@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV23@SX1)@SX2))))))))@SX0)))))=$true) | ((((SV23@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV23@SX0)@SX1))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV23@SX0)@SX1))))))@SV54)=$true))),inference(extcnf_not_pos,[status(thm)],[185])).
% 48.33/48.51 thf(195,plain,(![SV14:((a>$o)>(a>a)),SV57:(a>$o)]: (((SV57@(sK2_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV14@SX1)@SX2)))))=$false) | ((cOPEN@(^[SY60:a]: (SV57@((SV14@SV57)@SY60))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1))))))@((SV14@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV14@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV14@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2))))))@((SV14@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV14@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[188])).
% 48.33/48.51 thf(196,plain,(![SV17:((a>$o)>(a>$o)),SV58:(a>$o)]: (((SV58@(sK2_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV17@SX1)@SX2)))))=$false) | ((cOPEN@(^[SY66:a]: (~ ((SV17@SV58)@SY66))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV17@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV17@SX1)@SX2)))))))@SX0))))=$true) | (((SV17@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV17@SX0)@SX1)))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV17@SX0)@SX1)))))=$true))),inference(extcnf_not_pos,[status(thm)],[191])).
% 48.33/48.51 thf(197,plain,(![SV5:((a>$o)>$o)]: (((SV5@(sK1_Xx@(^[SX0:(a>$o)]: (~ (SV5@SX0)))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (~ (SV5@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[34])).
% 48.33/48.51 thf(198,plain,(![SV1:((a>$o)>$o)]: (((SV1@(sK1_Xx@SV1))=$true) | ((cOPEN@(^[SY9:a]: (~ (![SY10:(a>$o)]: (~ (~ ((~ (SV1@SY10)) | (~ (SY10@SY9)))))))))=$true))),inference(sim,[status(thm)],[45])).
% 48.33/48.51 thf(199,plain,(![SV11:((a>$o)>(a>$o))]: (((cOPEN@(SV11@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(SV11@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (cOPEN@(SV11@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(sim,[status(thm)],[71])).
% 48.33/48.51 thf(200,plain,(![SV9:((a>$o)>a)]: ((((sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV9@SX0))))@(SV9@(sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV9@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SX1@(SV9@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(sim,[status(thm)],[49])).
% 48.33/48.51 thf(201,plain,(((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ ($false)) | (~ (SX1@SX0)))))))))=$true)),inference(sim,[status(thm)],[33])).
% 48.33/48.51 thf(205,plain,(![SV59:((a>$o)>$o)]: (((SV59@(sK1_Xx@SV59))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV59@SX1)) | (~ (SX1@SX0)))))))))=$true))),inference(rename,[status(thm)],[27])).
% 48.33/48.51 thf(206,plain,(![SV59:((a>$o)>$o)]: ((((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV59@SX1)) | (~ (SX1@SX0))))))))) = (cOPEN@(^[Xy:a]: $false)))=$false) | ((SV59@(sK1_Xx@SV59))=$true))),inference(res,[status(thm)],[205,17])).
% 48.33/48.51 thf(207,plain,(![SV59:((a>$o)>$o)]: ((((SV59@(sK1_Xx@SV59)) = (cOPEN@(^[Xy:a]: $false)))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV59@SX1)) | (~ (SX1@SX0)))))))))=$true))),inference(res,[status(thm)],[205,17])).
% 48.33/48.51 thf(209,plain,((($false)=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ ($false)) | (~ (SX1@SX0)))))))))=$true)),inference(prim_subst,[status(thm)],[205:[bind(SV59, $thf(^[SV62:(a>$o)]: $false))]])).
% 48.33/48.51 thf(210,plain,(((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ ($false)) | (~ (SX1@SX0)))))))))=$true)),inference(sim,[status(thm)],[209])).
% 48.33/48.51 thf(211,plain,(![SV61:((a>$o)>$o)]: (((~ (SV61@(sK1_Xx@(^[SX0:(a>$o)]: (~ (SV61@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (~ (SV61@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(prim_subst,[status(thm)],[205:[bind(SV59, $thf(^[SV60:(a>$o)]: (~ (SV61@SV60))))]])).
% 48.33/48.51 thf(212,plain,(![SV71:((a>$o)>$o),SV70:((a>$o)>$o)]: ((((SV70@(sK1_Xx@(^[SX0:(a>$o)]: ((SV70@SX0) | (SV71@SX0))))) | (SV71@(sK1_Xx@(^[SX0:(a>$o)]: ((SV70@SX0) | (SV71@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ ((SV70@SX1) | (SV71@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(prim_subst,[status(thm)],[205:[bind(SV59, $thf(^[SV69:(a>$o)]: ((SV70@SV69) | (SV71@SV69))))]])).
% 48.33/48.51 thf(213,plain,(![SV68:((a>$o)>$i),SV67:((a>$o)>$i)]: ((((SV67@(sK1_Xx@(^[SX0:(a>$o)]: ((SV67@SX0) = (SV68@SX0))))) = (SV68@(sK1_Xx@(^[SX0:(a>$o)]: ((SV67@SX0) = (SV68@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ ((SV67@SX1) = (SV68@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(prim_subst,[status(thm)],[205:[bind(SV59, $thf(^[SV66:(a>$o)]: ((SV67@SV66) = (SV68@SV66))))]])).
% 48.33/48.51 thf(214,plain,(![SV65:((a>$o)>a)]: ((((sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV65@SX0))))@(SV65@(sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV65@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SX1@(SV65@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(prim_subst,[status(thm)],[205:[bind(SV59, $thf(^[SV64:(a>$o)]: (SV64@(SV65@SV64))))]])).
% 48.33/48.51 thf(215,plain,(![SV59:((a>$o)>$o)]: (((SV59@(sK1_Xx@SV59))=$true) | (((SV59@(sK1_Xx@SV59)) = (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV59@SX1)) | (~ (SX1@SX0))))))))))=$false))),inference(fac_restr,[status(thm)],[205])).
% 48.33/48.51 thf(216,plain,(![SV92:((a>$o)>a)]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SX1@(SV92@SX1))) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV92@SX0))))@(SV92@(sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV92@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: $false))=$true))),inference(extuni,[status(esa)],[207:[bind(SV59,$thf(^[SX0:(a>$o)]: (SX0@(SV92@SX0))))]])).
% 48.33/48.51 thf(217,plain,(![SV92:((a>$o)>a)]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SX1@(SV92@SX1))) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV92@SX0))))@(SV92@(sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV92@SX0))))))=$false) | ((cOPEN@(^[SX0:a]: $false))=$false))),inference(extuni,[status(esa)],[207:[bind(SV59,$thf(^[SX0:(a>$o)]: (SX0@(SV92@SX0))))]])).
% 48.33/48.51 thf(218,plain,(![SV97:((a>$o)>(a>a))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX2:a]: (SX1@((SV97@SX1)@SX2))))) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV97@SX0)@SX1))))))@((SV97@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV97@SX0)@SX1)))))))@(sK11_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV97@SX0)@SX1))))))=$true) | (($false)=$true))),inference(extuni,[status(esa)],[207:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV97@SX0)@SX1))))))]])).
% 48.33/48.51 thf(220,plain,(((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX2:a]: $false))) | (~ (SX1@SX0)))))))))=$true)),inference(extuni,[status(esa)],[207:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: $false))))]])).
% 48.33/48.51 thf(221,plain,(![SV94:((a>$o)>(a>$o))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (cOPEN@(SV94@SX1))) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(SV94@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(SV94@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: $false))=$true))),inference(extuni,[status(esa)],[207:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(SV94@SX0))))]])).
% 48.33/48.51 thf(222,plain,(![SV94:((a>$o)>(a>$o))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (cOPEN@(SV94@SX1))) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(SV94@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(SV94@SX0))))))=$false) | ((cOPEN@(^[SX0:a]: $false))=$false))),inference(extuni,[status(esa)],[207:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(SV94@SX0))))]])).
% 48.33/48.51 thf(223,plain,(![SV59:((a>$o)>$o)]: (((SV59@(sK1_Xx@SV59))=$true) | ((~ (![SY92:(a>$o)]: (~ (~ ((~ (SV59@SY92)) | (~ (SY92@(sK12_E@SV59))))))))=$true) | (($false)=$true))),inference(extuni,[status(esa)],[206])).
% 48.33/48.51 thf(225,plain,(![SV101:((a>$o)>a)]: ((((sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV101@SX0))))@(SV101@(sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV101@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SX1@(SV101@SX1))) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV101@SX0))))@(SV101@(sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV101@SX0))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (SX0@(SV101@SX0))))]])).
% 48.33/48.51 thf(227,plain,(![SV106:((a>$o)>(a>a))]: ((((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$true) | ((~ (![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))]])).
% 48.33/48.51 thf(228,plain,(![SV106:((a>$o)>(a>a))]: ((((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$false) | ((~ (![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))]])).
% 48.33/48.51 thf(229,plain,(![SV112:((a>$o)>(a>a))]: ((((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$true) | ((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))]])).
% 48.33/48.51 thf(230,plain,(![SV112:((a>$o)>(a>a))]: ((((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$false) | ((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))]])).
% 48.33/48.51 thf(231,plain,(![SV120:((a>$o)>(a>((a>$o)>a)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(((SV120@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))=$true) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))))]])).
% 48.33/48.51 thf(232,plain,(![SV120:((a>$o)>(a>((a>$o)>a)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(((SV120@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))=$false) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))))]])).
% 48.33/48.51 thf(233,plain,(![SV119:((a>$o)>(a>((a>$o)>a)))]: ((((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))@(((SV119@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))=$true) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))@(((SV119@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))))))@(((SV119@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))]])).
% 48.33/48.51 thf(234,plain,(![SV119:((a>$o)>(a>((a>$o)>a)))]: ((((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))@(((SV119@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))=$false) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))@(((SV119@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))))))@(((SV119@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))]])).
% 48.33/48.51 thf(235,plain,(![SV129:((a>$o)>(a>((a>$o)>a)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(((SV129@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))=$true) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))))]])).
% 48.33/48.51 thf(236,plain,(![SV129:((a>$o)>(a>((a>$o)>a)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(((SV129@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))=$false) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))))]])).
% 48.33/48.51 thf(237,plain,(![SV128:((a>$o)>(a>((a>$o)>a)))]: ((((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))@(((SV128@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))=$true) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))@(((SV128@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))))))@(((SV128@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))]])).
% 48.33/48.51 thf(238,plain,(![SV128:((a>$o)>(a>((a>$o)>a)))]: ((((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))@(((SV128@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))=$false) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))@(((SV128@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))))))@(((SV128@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))]])).
% 48.33/48.51 thf(239,plain,(![SV133:((a>$o)>(a>((a>$o)>$o)))]: (((~ (((SV133@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))))=$true) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))))))]])).
% 48.33/48.51 thf(240,plain,(![SV133:((a>$o)>(a>((a>$o)>$o)))]: (((~ (((SV133@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))))=$false) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))))))]])).
% 48.33/48.51 thf(241,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: (((~ (((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))))=$true) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))))))]])).
% 48.33/48.51 thf(242,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: (((~ (((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))))=$false) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))))))]])).
% 48.33/48.51 thf(243,plain,(![SV115:((a>$o)>(a>((a>$o)>$o)))]: (((! ((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1)))))))=$true) | ((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1)))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1)))))))]])).
% 48.33/48.51 thf(244,plain,(![SV115:((a>$o)>(a>((a>$o)>$o)))]: (((! ((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1)))))))=$false) | ((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1)))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1)))))))]])).
% 48.33/48.51 thf(245,plain,(![SV109:((a>$o)>(a>$o))]: (((~ ((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1))))))=$true) | ((~ (![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1))))))]])).
% 48.33/48.51 thf(246,plain,(![SV109:((a>$o)>(a>$o))]: (((~ ((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1))))))=$false) | ((~ (![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1))))))]])).
% 48.33/48.51 thf(247,plain,(![SV103:((a>$o)>(a>$o))]: (((cOPEN@(SV103@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(SV103@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (cOPEN@(SV103@SX1))) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(SV103@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(SV103@SX0))))))=$true))),inference(extuni,[status(esa)],[215:[bind(SV59,$thf(^[SX0:(a>$o)]: (cOPEN@(SV103@SX0))))]])).
% 48.33/48.51 thf(250,plain,(![SV59:((a>$o)>$o)]: (((![SY92:(a>$o)]: (~ (~ ((~ (SV59@SY92)) | (~ (SY92@(sK12_E@SV59)))))))=$false) | ((SV59@(sK1_Xx@SV59))=$true) | (($false)=$true))),inference(extcnf_not_pos,[status(thm)],[223])).
% 48.33/48.51 thf(251,plain,(![SV61:((a>$o)>$o)]: (((SV61@(sK1_Xx@(^[SX0:(a>$o)]: (~ (SV61@SX0)))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (~ (SV61@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[211])).
% 48.33/48.51 thf(252,plain,(![SV71:((a>$o)>$o),SV70:((a>$o)>$o)]: (((SV70@(sK1_Xx@(^[SX0:(a>$o)]: ((SV70@SX0) | (SV71@SX0)))))=$true) | ((SV71@(sK1_Xx@(^[SX0:(a>$o)]: ((SV70@SX0) | (SV71@SX0)))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ ((SV70@SX1) | (SV71@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(extcnf_or_pos,[status(thm)],[212])).
% 48.33/48.51 thf(253,plain,(![SV109:((a>$o)>(a>$o))]: ((((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$true) | ((~ (![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[246])).
% 48.33/48.51 thf(254,plain,(![SV109:((a>$o)>(a>$o))]: ((((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$false) | ((~ (![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[245])).
% 48.33/48.51 thf(255,plain,(![SV115:((a>$o)>(a>((a>$o)>$o)))]: (((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@(sK15_SV144@SV115))=$false) | ((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1)))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_forall_neg,[status(esa)],[244])).
% 48.33/48.51 thf(256,plain,(![SV146:(a>$o),SV115:((a>$o)>(a>((a>$o)>$o)))]: (((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@SV146)=$true) | ((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1)))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[243])).
% 48.33/48.51 thf(257,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: (((((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))=$true) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[242])).
% 48.33/48.51 thf(258,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: (((((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))=$false) | ((~ (~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[241])).
% 48.33/48.51 thf(259,plain,(![SV133:((a>$o)>(a>((a>$o)>$o)))]: (((((SV133@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))=$true) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[240])).
% 48.33/48.51 thf(260,plain,(![SV133:((a>$o)>(a>((a>$o)>$o)))]: (((((SV133@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))=$false) | ((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[239])).
% 48.33/48.51 thf(261,plain,(![SV128:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))@(((SV128@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))@(((SV128@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))))))@(((SV128@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[238])).
% 48.33/48.51 thf(262,plain,(![SV128:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))@(((SV128@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))@(((SV128@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))))))@(((SV128@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[237])).
% 48.33/48.51 thf(263,plain,(![SV129:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))))=$true) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(((SV129@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[236])).
% 48.33/48.51 thf(264,plain,(![SV129:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))))=$false) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(((SV129@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[235])).
% 48.33/48.51 thf(265,plain,(![SV119:((a>$o)>(a>((a>$o)>a)))]: (((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))@(((SV119@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))@(((SV119@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))))))@(((SV119@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[234])).
% 48.33/48.51 thf(266,plain,(![SV119:((a>$o)>(a>((a>$o)>a)))]: (((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))@(((SV119@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))@(((SV119@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))))))@(((SV119@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[233])).
% 48.33/48.51 thf(267,plain,(![SV120:((a>$o)>(a>((a>$o)>a)))]: (((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))))))=$true) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(((SV120@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[232])).
% 48.33/48.51 thf(268,plain,(![SV120:((a>$o)>(a>((a>$o)>a)))]: (((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))))))=$false) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(((SV120@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[231])).
% 48.33/48.51 thf(269,plain,(![SV112:((a>$o)>(a>a))]: (((~ (~ ((~ (cOPEN@(^[SY124:a]: (~ ((sK16_SX0@SV112)@((SV112@(sK16_SX0@SV112))@SY124)))))) | (~ ((sK16_SX0@SV112)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_forall_neg,[status(esa)],[230])).
% 48.33/48.51 thf(270,plain,(![SV112:((a>$o)>(a>a)),SV147:(a>$o)]: (((~ (~ ((~ (cOPEN@(^[SY127:a]: (~ (SV147@((SV112@SV147)@SY127)))))) | (~ (SV147@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[229])).
% 48.33/48.51 thf(271,plain,(![SV106:((a>$o)>(a>a))]: (((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2))))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[228])).
% 48.33/48.51 thf(272,plain,(![SV106:((a>$o)>(a>a))]: (((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2))))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[227])).
% 48.33/48.51 thf(274,plain,(![SV59:((a>$o)>$o)]: (((~ (~ ((~ (SV59@(sK17_SY92@SV59))) | (~ ((sK17_SY92@SV59)@(sK12_E@SV59))))))=$false) | ((SV59@(sK1_Xx@SV59))=$true) | (($false)=$true))),inference(extcnf_forall_neg,[status(esa)],[250])).
% 48.33/48.51 thf(275,plain,(![SV109:((a>$o)>(a>$o))]: (((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2))))))))))=$true) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[253])).
% 48.33/48.51 thf(276,plain,(![SV109:((a>$o)>(a>$o))]: (((![SX0:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1))))) | (~ (SX0@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2))))))))))=$false) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[254])).
% 48.33/48.51 thf(277,plain,(![SV115:((a>$o)>(a>((a>$o)>$o)))]: (((~ (~ ((~ (cOPEN@(^[SY130:a]: (~ (! ((SV115@(sK18_SX0@SV115))@SY130)))))) | (~ ((sK18_SX0@SV115)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))))=$false) | ((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@(sK15_SV144@SV115))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_forall_neg,[status(esa)],[255])).
% 48.33/48.51 thf(278,plain,(![SV146:(a>$o),SV149:(a>$o),SV115:((a>$o)>(a>((a>$o)>$o)))]: (((~ (~ ((~ (cOPEN@(^[SY133:a]: (~ (! ((SV115@SV149)@SY133)))))) | (~ (SV149@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))))=$true) | ((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@SV146)=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[256])).
% 48.33/48.51 thf(279,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))))))))=$true) | ((((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[257])).
% 48.33/48.51 thf(280,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))))))))=$false) | ((((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[258])).
% 48.33/48.51 thf(281,plain,(![SV133:((a>$o)>(a>((a>$o)>$o)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))=$true) | ((((SV133@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[259])).
% 48.33/48.51 thf(282,plain,(![SV133:((a>$o)>(a>((a>$o)>$o)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))=$false) | ((((SV133@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[260])).
% 48.33/48.51 thf(283,plain,(![SV128:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))@(((SV128@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))@SX0)@SX1))))))))=$true) | ((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))@(((SV128@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))))))@(((SV128@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[261])).
% 48.33/48.51 thf(284,plain,(![SV128:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))@(((SV128@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))@SX0)@SX1))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))@(((SV128@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))))))@(((SV128@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[262])).
% 48.33/48.51 thf(285,plain,(![SV128:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))@(((SV128@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))))))@(((SV128@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[262])).
% 48.33/48.51 thf(286,plain,(![SV129:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))@SX0)@SX1))))))))=$true) | ((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))))=$true) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(((SV129@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[263])).
% 48.33/48.51 thf(287,plain,(![SV129:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))@SX0)@SX1))))))))=$false) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(((SV129@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[264])).
% 48.33/48.51 thf(288,plain,(![SV129:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))))=$false) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(((SV129@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[264])).
% 48.33/48.51 thf(289,plain,(![SV119:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))@(((SV119@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))@(((SV119@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))))))@(((SV119@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[265])).
% 48.33/48.51 thf(290,plain,(![SV119:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))@(((SV119@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))@(((SV119@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))))))@(((SV119@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[266])).
% 48.33/48.51 thf(291,plain,(![SV120:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))=$false) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(((SV120@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[267])).
% 48.33/48.51 thf(292,plain,(![SV120:((a>$o)>(a>((a>$o)>a)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))=$true) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(((SV120@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[268])).
% 48.33/48.51 thf(293,plain,(![SV112:((a>$o)>(a>a))]: (((~ ((~ (cOPEN@(^[SY124:a]: (~ ((sK16_SX0@SV112)@((SV112@(sK16_SX0@SV112))@SY124)))))) | (~ ((sK16_SX0@SV112)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_neg,[status(thm)],[269])).
% 48.33/48.51 thf(294,plain,(![SV112:((a>$o)>(a>a)),SV147:(a>$o)]: (((~ ((~ (cOPEN@(^[SY127:a]: (~ (SV147@((SV112@SV147)@SY127)))))) | (~ (SV147@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_pos,[status(thm)],[270])).
% 48.33/48.51 thf(295,plain,(![SV106:((a>$o)>(a>a)),SV150:(a>$o)]: (((~ (~ ((~ (cOPEN@(^[SY136:a]: (SV150@((SV106@SV150)@SY136))))) | (~ (SV150@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_forall_pos,[status(thm)],[271])).
% 48.33/48.51 thf(296,plain,(![SV106:((a>$o)>(a>a))]: (((~ (~ ((~ (cOPEN@(^[SY139:a]: ((sK19_SX0@SV106)@((SV106@(sK19_SX0@SV106))@SY139))))) | (~ ((sK19_SX0@SV106)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2)))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_forall_neg,[status(esa)],[272])).
% 48.33/48.51 thf(298,plain,(![SV59:((a>$o)>$o)]: (((~ ((~ (SV59@(sK17_SY92@SV59))) | (~ ((sK17_SY92@SV59)@(sK12_E@SV59)))))=$true) | ((SV59@(sK1_Xx@SV59))=$true) | (($false)=$true))),inference(extcnf_not_neg,[status(thm)],[274])).
% 48.33/48.51 thf(299,plain,(![SV151:(a>$o),SV109:((a>$o)>(a>$o))]: (((~ (~ ((~ (cOPEN@(^[SY142:a]: (~ ((SV109@SV151)@SY142))))) | (~ (SV151@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2)))))))))=$true) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_forall_pos,[status(thm)],[275])).
% 48.33/48.51 thf(300,plain,(![SV109:((a>$o)>(a>$o))]: (((~ (~ ((~ (cOPEN@(^[SY145:a]: (~ ((SV109@(sK20_SX0@SV109))@SY145))))) | (~ ((sK20_SX0@SV109)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2)))))))))=$false) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_forall_neg,[status(esa)],[276])).
% 48.33/48.51 thf(301,plain,(![SV115:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((~ (cOPEN@(^[SY130:a]: (~ (! ((SV115@(sK18_SX0@SV115))@SY130)))))) | (~ ((sK18_SX0@SV115)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2)))))))))=$true) | ((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@(sK15_SV144@SV115))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_neg,[status(thm)],[277])).
% 48.33/48.51 thf(302,plain,(![SV146:(a>$o),SV149:(a>$o),SV115:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((~ (cOPEN@(^[SY133:a]: (~ (! ((SV115@SV149)@SY133)))))) | (~ (SV149@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2)))))))))=$false) | ((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@SV146)=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_pos,[status(thm)],[278])).
% 48.33/48.51 thf(303,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))=$false) | ((((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[279])).
% 48.33/48.51 thf(304,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: ((((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))@SX0)@SX1))))))) | (~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))=$true) | ((((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[280])).
% 48.33/48.51 thf(305,plain,(![SV133:((a>$o)>(a>((a>$o)>$o)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))@SX0)@SX1))))))))=$true) | ((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))))))=$true) | ((((SV133@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_pos,[status(thm)],[281])).
% 48.33/48.51 thf(306,plain,(![SV133:((a>$o)>(a>((a>$o)>$o)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))@SX0)@SX1))))))))=$false) | ((((SV133@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[282])).
% 48.33/48.51 thf(307,plain,(![SV133:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))))))=$false) | ((((SV133@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_or_neg,[status(thm)],[282])).
% 48.33/48.51 thf(308,plain,(![SV128:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))@(((SV128@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$false) | ((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))@(((SV128@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))))))@(((SV128@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[283])).
% 48.33/48.51 thf(309,plain,(![SV128:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))@(((SV128@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))@(((SV128@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))))))@(((SV128@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[284])).
% 48.33/48.51 thf(310,plain,(![SV128:((a>$o)>(a>((a>$o)>a)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))@(((SV128@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))))))@(((SV128@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[285])).
% 48.33/48.51 thf(311,plain,(![SV129:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$false) | ((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))))=$true) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(((SV129@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[286])).
% 48.33/48.51 thf(312,plain,(![SV129:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(((SV129@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[287])).
% 48.33/48.51 thf(313,plain,(![SV129:((a>$o)>(a>((a>$o)>a)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))=$true) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(((SV129@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[288])).
% 48.33/48.51 thf(314,plain,(![SV119:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))@(((SV119@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))@SX0)@SX1)))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))@(((SV119@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))))))@(((SV119@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_neg,[status(thm)],[289])).
% 48.33/48.51 thf(315,plain,(![SV119:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))@(((SV119@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))))))@(((SV119@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_neg,[status(thm)],[289])).
% 48.33/48.51 thf(316,plain,(![SV119:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))@(((SV119@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))@SX0)@SX1)))))))=$true) | ((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))@(((SV119@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))))))@(((SV119@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_pos,[status(thm)],[290])).
% 48.33/48.51 thf(317,plain,(![SV120:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))@SX0)@SX1)))))))=$false) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(((SV120@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_neg,[status(thm)],[291])).
% 48.33/48.51 thf(318,plain,(![SV120:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))))=$false) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(((SV120@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_neg,[status(thm)],[291])).
% 48.33/48.51 thf(319,plain,(![SV120:((a>$o)>(a>((a>$o)>a)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))@SX0)@SX1)))))))=$true) | ((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))))=$true) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(((SV120@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_pos,[status(thm)],[292])).
% 48.33/48.51 thf(320,plain,(![SV112:((a>$o)>(a>a))]: ((((~ (cOPEN@(^[SY124:a]: (~ ((sK16_SX0@SV112)@((SV112@(sK16_SX0@SV112))@SY124)))))) | (~ ((sK16_SX0@SV112)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_pos,[status(thm)],[293])).
% 48.33/48.51 thf(321,plain,(![SV112:((a>$o)>(a>a)),SV147:(a>$o)]: ((((~ (cOPEN@(^[SY127:a]: (~ (SV147@((SV112@SV147)@SY127)))))) | (~ (SV147@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_neg,[status(thm)],[294])).
% 48.33/48.51 thf(322,plain,(![SV106:((a>$o)>(a>a)),SV150:(a>$o)]: (((~ ((~ (cOPEN@(^[SY136:a]: (SV150@((SV106@SV150)@SY136))))) | (~ (SV150@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2))))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[295])).
% 48.33/48.51 thf(323,plain,(![SV106:((a>$o)>(a>a))]: (((~ ((~ (cOPEN@(^[SY139:a]: ((sK19_SX0@SV106)@((SV106@(sK19_SX0@SV106))@SY139))))) | (~ ((sK19_SX0@SV106)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[296])).
% 48.33/48.51 thf(325,plain,(![SV59:((a>$o)>$o)]: ((((~ (SV59@(sK17_SY92@SV59))) | (~ ((sK17_SY92@SV59)@(sK12_E@SV59))))=$false) | ((SV59@(sK1_Xx@SV59))=$true) | (($false)=$true))),inference(extcnf_not_pos,[status(thm)],[298])).
% 48.33/48.51 thf(326,plain,(![SV151:(a>$o),SV109:((a>$o)>(a>$o))]: (((~ ((~ (cOPEN@(^[SY142:a]: (~ ((SV109@SV151)@SY142))))) | (~ (SV151@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2))))))))=$false) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[299])).
% 48.33/48.51 thf(327,plain,(![SV109:((a>$o)>(a>$o))]: (((~ ((~ (cOPEN@(^[SY145:a]: (~ ((SV109@(sK20_SX0@SV109))@SY145))))) | (~ ((sK20_SX0@SV109)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2))))))))=$true) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[300])).
% 48.33/48.51 thf(328,plain,(![SV115:((a>$o)>(a>((a>$o)>$o)))]: ((((~ (cOPEN@(^[SY130:a]: (~ (! ((SV115@(sK18_SX0@SV115))@SY130)))))) | (~ ((sK18_SX0@SV115)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))=$false) | ((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@(sK15_SV144@SV115))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_pos,[status(thm)],[301])).
% 48.33/48.51 thf(329,plain,(![SV146:(a>$o),SV149:(a>$o),SV115:((a>$o)>(a>((a>$o)>$o)))]: ((((~ (cOPEN@(^[SY133:a]: (~ (! ((SV115@SV149)@SY133)))))) | (~ (SV149@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))=$true) | ((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@SV146)=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_neg,[status(thm)],[302])).
% 48.33/48.51 thf(330,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))@SX0)@SX1)))))))=$false) | ((((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_neg,[status(thm)],[303])).
% 48.33/48.51 thf(331,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))))))=$false) | ((((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_neg,[status(thm)],[303])).
% 48.33/48.51 thf(332,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: (((~ (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))@SX0)@SX1)))))))=$true) | ((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))))))=$true) | ((((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_or_pos,[status(thm)],[304])).
% 48.33/48.51 thf(333,plain,(![SV133:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$false) | ((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))))))=$true) | ((((SV133@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[305])).
% 48.33/48.51 thf(334,plain,(![SV133:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | ((((SV133@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[306])).
% 48.33/48.51 thf(335,plain,(![SV133:((a>$o)>(a>((a>$o)>$o)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))=$true) | ((((SV133@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_neg,[status(thm)],[307])).
% 48.33/48.51 thf(336,plain,(![SV128:((a>$o)>(a>((a>$o)>a)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))@(((SV128@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))))@(((SV128@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV128@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4)))))))))@(((SV128@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV128@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[308])).
% 48.33/48.51 thf(337,plain,(![SV129:((a>$o)>(a>((a>$o)>a)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$false) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))@(((SV129@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX2@(((SV129@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (SX1@(((SV129@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX4@(((SV129@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[311])).
% 48.33/48.51 thf(338,plain,(![SV119:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))@(((SV119@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))@(((SV119@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))))))@(((SV119@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[314])).
% 48.33/48.51 thf(339,plain,(![SV119:((a>$o)>(a>((a>$o)>a)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))@(((SV119@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))))))@(((SV119@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[315])).
% 48.33/48.51 thf(340,plain,(![SV119:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))@(((SV119@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$false) | ((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))@(((SV119@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))))))@(((SV119@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[316])).
% 48.33/48.51 thf(341,plain,(![SV120:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$true) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(((SV120@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[317])).
% 48.33/48.51 thf(342,plain,(![SV120:((a>$o)>(a>((a>$o)>a)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))=$true) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(((SV120@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[318])).
% 48.33/48.51 thf(343,plain,(![SV120:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$false) | ((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))))=$true) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(((SV120@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[319])).
% 48.33/48.51 thf(344,plain,(![SV112:((a>$o)>(a>a))]: (((~ (cOPEN@(^[SY124:a]: (~ ((sK16_SX0@SV112)@((SV112@(sK16_SX0@SV112))@SY124))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_or_neg,[status(thm)],[320])).
% 48.33/48.51 thf(345,plain,(![SV112:((a>$o)>(a>a))]: (((~ ((sK16_SX0@SV112)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_or_neg,[status(thm)],[320])).
% 48.33/48.51 thf(346,plain,(![SV112:((a>$o)>(a>a)),SV147:(a>$o)]: (((~ (cOPEN@(^[SY127:a]: (~ (SV147@((SV112@SV147)@SY127))))))=$true) | ((~ (SV147@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_or_pos,[status(thm)],[321])).
% 48.33/48.51 thf(347,plain,(![SV106:((a>$o)>(a>a)),SV150:(a>$o)]: ((((~ (cOPEN@(^[SY136:a]: (SV150@((SV106@SV150)@SY136))))) | (~ (SV150@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[322])).
% 48.33/48.51 thf(348,plain,(![SV106:((a>$o)>(a>a))]: ((((~ (cOPEN@(^[SY139:a]: ((sK19_SX0@SV106)@((SV106@(sK19_SX0@SV106))@SY139))))) | (~ ((sK19_SX0@SV106)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2)))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[323])).
% 48.33/48.51 thf(350,plain,(![SV59:((a>$o)>$o)]: (((~ (SV59@(sK17_SY92@SV59)))=$false) | ((SV59@(sK1_Xx@SV59))=$true) | (($false)=$true))),inference(extcnf_or_neg,[status(thm)],[325])).
% 48.33/48.51 thf(351,plain,(![SV59:((a>$o)>$o)]: (((~ ((sK17_SY92@SV59)@(sK12_E@SV59)))=$false) | ((SV59@(sK1_Xx@SV59))=$true) | (($false)=$true))),inference(extcnf_or_neg,[status(thm)],[325])).
% 48.33/48.51 thf(352,plain,(![SV151:(a>$o),SV109:((a>$o)>(a>$o))]: ((((~ (cOPEN@(^[SY142:a]: (~ ((SV109@SV151)@SY142))))) | (~ (SV151@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2)))))))=$true) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[326])).
% 48.33/48.51 thf(353,plain,(![SV109:((a>$o)>(a>$o))]: ((((~ (cOPEN@(^[SY145:a]: (~ ((SV109@(sK20_SX0@SV109))@SY145))))) | (~ ((sK20_SX0@SV109)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2)))))))=$false) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[327])).
% 48.33/48.51 thf(354,plain,(![SV115:((a>$o)>(a>((a>$o)>$o)))]: (((~ (cOPEN@(^[SY130:a]: (~ (! ((SV115@(sK18_SX0@SV115))@SY130))))))=$false) | ((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@(sK15_SV144@SV115))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_or_neg,[status(thm)],[328])).
% 48.33/48.51 thf(355,plain,(![SV115:((a>$o)>(a>((a>$o)>$o)))]: (((~ ((sK18_SX0@SV115)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2)))))))=$false) | ((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@(sK15_SV144@SV115))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_or_neg,[status(thm)],[328])).
% 48.33/48.51 thf(356,plain,(![SV146:(a>$o),SV149:(a>$o),SV115:((a>$o)>(a>((a>$o)>$o)))]: (((~ (cOPEN@(^[SY133:a]: (~ (! ((SV115@SV149)@SY133))))))=$true) | ((~ (SV149@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2)))))))=$true) | ((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@SV146)=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_or_pos,[status(thm)],[329])).
% 48.33/48.51 thf(357,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$true) | ((((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[330])).
% 48.33/48.51 thf(358,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))=$true) | ((((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_neg,[status(thm)],[331])).
% 48.33/48.51 thf(359,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$false) | ((~ ((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))))))=$true) | ((((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[332])).
% 48.33/48.51 thf(360,plain,(![SV133:((a>$o)>(a>((a>$o)>$o)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2)))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$false) | ((((SV133@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (~ (((SV133@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ (((SV133@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (~ (((SV133@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(extcnf_not_pos,[status(thm)],[333])).
% 48.33/48.51 thf(361,plain,(![SV119:((a>$o)>(a>((a>$o)>a)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))@(((SV119@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))))@(((SV119@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX0@(((SV119@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4))))))))@(((SV119@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX2@(((SV119@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[340])).
% 48.33/48.51 thf(362,plain,(![SV120:((a>$o)>(a>((a>$o)>a)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$false) | (((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))@(((SV120@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (SX2@(((SV120@SX0)@SX1)@SX2))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (SX1@(((SV120@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (SX4@(((SV120@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[343])).
% 48.33/48.51 thf(363,plain,(![SV112:((a>$o)>(a>a))]: (((cOPEN@(^[SY124:a]: (~ ((sK16_SX0@SV112)@((SV112@(sK16_SX0@SV112))@SY124)))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_neg,[status(thm)],[344])).
% 48.33/48.51 thf(364,plain,(![SV112:((a>$o)>(a>a))]: ((((sK16_SX0@SV112)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_neg,[status(thm)],[345])).
% 48.33/48.51 thf(365,plain,(![SV112:((a>$o)>(a>a)),SV147:(a>$o)]: (((cOPEN@(^[SY127:a]: (~ (SV147@((SV112@SV147)@SY127)))))=$false) | ((~ (SV147@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_pos,[status(thm)],[346])).
% 48.33/48.51 thf(366,plain,(![SV106:((a>$o)>(a>a)),SV150:(a>$o)]: (((~ (cOPEN@(^[SY136:a]: (SV150@((SV106@SV150)@SY136)))))=$true) | ((~ (SV150@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_or_pos,[status(thm)],[347])).
% 48.33/48.51 thf(367,plain,(![SV106:((a>$o)>(a>a))]: (((~ (cOPEN@(^[SY139:a]: ((sK19_SX0@SV106)@((SV106@(sK19_SX0@SV106))@SY139)))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_or_neg,[status(thm)],[348])).
% 48.33/48.51 thf(368,plain,(![SV106:((a>$o)>(a>a))]: (((~ ((sK19_SX0@SV106)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2))))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_or_neg,[status(thm)],[348])).
% 48.33/48.51 thf(370,plain,(![SV59:((a>$o)>$o)]: (((SV59@(sK17_SY92@SV59))=$true) | ((SV59@(sK1_Xx@SV59))=$true) | (($false)=$true))),inference(extcnf_not_neg,[status(thm)],[350])).
% 48.33/48.51 thf(371,plain,(![SV59:((a>$o)>$o)]: ((((sK17_SY92@SV59)@(sK12_E@SV59))=$true) | ((SV59@(sK1_Xx@SV59))=$true) | (($false)=$true))),inference(extcnf_not_neg,[status(thm)],[351])).
% 48.33/48.51 thf(372,plain,(![SV151:(a>$o),SV109:((a>$o)>(a>$o))]: (((~ (cOPEN@(^[SY142:a]: (~ ((SV109@SV151)@SY142)))))=$true) | ((~ (SV151@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2))))))=$true) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_or_pos,[status(thm)],[352])).
% 48.33/48.51 thf(373,plain,(![SV109:((a>$o)>(a>$o))]: (((~ (cOPEN@(^[SY145:a]: (~ ((SV109@(sK20_SX0@SV109))@SY145)))))=$false) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_or_neg,[status(thm)],[353])).
% 48.33/48.51 thf(374,plain,(![SV109:((a>$o)>(a>$o))]: (((~ ((sK20_SX0@SV109)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2))))))=$false) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_or_neg,[status(thm)],[353])).
% 48.33/48.51 thf(375,plain,(![SV115:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SY130:a]: (~ (! ((SV115@(sK18_SX0@SV115))@SY130)))))=$true) | ((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@(sK15_SV144@SV115))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_neg,[status(thm)],[354])).
% 48.33/48.51 thf(376,plain,(![SV115:((a>$o)>(a>((a>$o)>$o)))]: ((((sK18_SX0@SV115)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2))))))=$true) | ((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@(sK15_SV144@SV115))=$false) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_neg,[status(thm)],[355])).
% 48.33/48.51 thf(377,plain,(![SV146:(a>$o),SV149:(a>$o),SV115:((a>$o)>(a>((a>$o)>$o)))]: (((cOPEN@(^[SY133:a]: (~ (! ((SV115@SV149)@SY133)))))=$false) | ((~ (SV149@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2)))))))=$true) | ((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@SV146)=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_pos,[status(thm)],[356])).
% 48.33/48.51 thf(378,plain,(![SV124:((a>$o)>(a>((a>$o)>$o)))]: ((((sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK14_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))@SX0)@SX1))))))=$false) | ((((SV124@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))))@(sK14_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (((SV124@SX0)@SX1)@SX2)))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (((SV124@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (((SV124@SX2)@SX3)@SX4)))))))))@SX0)@SX1))))))=$true))),inference(extcnf_not_pos,[status(thm)],[359])).
% 48.33/48.51 thf(379,plain,(![SV112:((a>$o)>(a>a)),SV147:(a>$o)]: (((SV147@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))=$false) | ((cOPEN@(^[SY127:a]: (~ (SV147@((SV112@SV147)@SY127)))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))@((SV112@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (SX0@((SV112@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (SX0@((SV112@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2)))))))@((SV112@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (SX1@((SV112@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_pos,[status(thm)],[365])).
% 48.33/48.51 thf(380,plain,(![SV106:((a>$o)>(a>a)),SV150:(a>$o)]: (((cOPEN@(^[SY136:a]: (SV150@((SV106@SV150)@SY136))))=$false) | ((~ (SV150@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[366])).
% 48.33/48.51 thf(381,plain,(![SV106:((a>$o)>(a>a))]: (((cOPEN@(^[SY139:a]: ((sK19_SX0@SV106)@((SV106@(sK19_SX0@SV106))@SY139))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[367])).
% 48.33/48.51 thf(382,plain,(![SV106:((a>$o)>(a>a))]: ((((sK19_SX0@SV106)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2)))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$true) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[368])).
% 48.33/48.51 thf(384,plain,(![SV151:(a>$o),SV109:((a>$o)>(a>$o))]: (((cOPEN@(^[SY142:a]: (~ ((SV109@SV151)@SY142))))=$false) | ((~ (SV151@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2))))))=$true) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[372])).
% 48.33/48.51 thf(385,plain,(![SV109:((a>$o)>(a>$o))]: (((cOPEN@(^[SY145:a]: (~ ((SV109@(sK20_SX0@SV109))@SY145))))=$true) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[373])).
% 48.33/48.51 thf(386,plain,(![SV109:((a>$o)>(a>$o))]: ((((sK20_SX0@SV109)@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2)))))=$true) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$false) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[374])).
% 48.33/48.51 thf(387,plain,(![SV146:(a>$o),SV115:((a>$o)>(a>((a>$o)>$o))),SV149:(a>$o)]: (((SV149@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ (! ((SV115@SX1)@SX2))))))=$false) | ((cOPEN@(^[SY133:a]: (~ (! ((SV115@SV149)@SY133)))))=$false) | ((((SV115@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (! ((SV115@SX0)@SX1))))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ (! ((SV115@SX0)@SX1))))))@SV146)=$true) | ((cOPEN@(^[SX0:a]: (~ (! ((SV115@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ (! ((SV115@SX1)@SX2))))))))@SX0)))))=$true))),inference(extcnf_not_pos,[status(thm)],[377])).
% 48.33/48.51 thf(388,plain,(![SV106:((a>$o)>(a>a)),SV150:(a>$o)]: (((SV150@(sK13_E@(^[SX1:(a>$o),SX2:a]: (SX1@((SV106@SX1)@SX2)))))=$false) | ((cOPEN@(^[SY136:a]: (SV150@((SV106@SV150)@SY136))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1))))))@((SV106@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV106@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV106@SX0)@SX1))))))=$false) | ((cOPEN@(^[SX0:a]: ((sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2))))))@((SV106@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (SX1@((SV106@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[380])).
% 48.33/48.51 thf(389,plain,(![SV109:((a>$o)>(a>$o)),SV151:(a>$o)]: (((SV151@(sK13_E@(^[SX1:(a>$o),SX2:a]: (~ ((SV109@SX1)@SX2)))))=$false) | ((cOPEN@(^[SY142:a]: (~ ((SV109@SV151)@SY142))))=$false) | (((SV109@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ ((SV109@SX0)@SX1)))))))@(sK13_E@(^[SX0:(a>$o),SX1:a]: (~ ((SV109@SX0)@SX1)))))=$true) | ((cOPEN@(^[SX0:a]: (~ ((SV109@(sK1_Xx@(^[SX1:(a>$o)]: (cOPEN@(^[SX2:a]: (~ ((SV109@SX1)@SX2)))))))@SX0))))=$true))),inference(extcnf_not_pos,[status(thm)],[384])).
% 48.33/48.51 thf(390,plain,(![SV97:((a>$o)>(a>a))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (cOPEN@(^[SX2:a]: (SX1@((SV97@SX1)@SX2))))) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV97@SX0)@SX1))))))@((SV97@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (SX0@((SV97@SX0)@SX1)))))))@(sK11_E@(^[SX0:(a>$o),SX1:a]: (SX0@((SV97@SX0)@SX1))))))=$true))),inference(sim,[status(thm)],[218])).
% 48.33/48.51 thf(391,plain,(![SV59:((a>$o)>$o)]: (((SV59@(sK17_SY92@SV59))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(sim,[status(thm)],[370])).
% 48.33/48.51 thf(392,plain,(![SV59:((a>$o)>$o)]: ((((sK17_SY92@SV59)@(sK12_E@SV59))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(sim,[status(thm)],[371])).
% 48.33/48.51 thf(393,plain,(![SV103:((a>$o)>(a>$o))]: (((cOPEN@(SV103@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(SV103@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (cOPEN@(SV103@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(sim,[status(thm)],[247])).
% 48.33/48.51 thf(394,plain,(![SV101:((a>$o)>a)]: ((((sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV101@SX0))))@(SV101@(sK1_Xx@(^[SX0:(a>$o)]: (SX0@(SV101@SX0))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SX1@(SV101@SX1))) | (~ (SX1@SX0)))))))))=$true))),inference(sim,[status(thm)],[225])).
% 48.33/48.51 thf(395,plain,(![SV152:((a>$o)>$o)]: (((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true))),inference(rename,[status(thm)],[30])).
% 48.33/48.51 thf(396,plain,(![SV152:((a>$o)>$o),SV152:((a>$o)>$o)]: ((((cOPEN@(sK1_Xx@SV152)) = (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(res,[status(thm)],[395,395])).
% 48.33/48.51 thf(397,plain,(![SV152:((a>$o)>$o),SV152:((a>$o)>$o)]: ((((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0))))))))) = (cOPEN@(sK1_Xx@SV152)))=$false) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true))),inference(res,[status(thm)],[395,395])).
% 48.33/48.51 thf(398,plain,(![SV152:((a>$o)>$o),SV59:((a>$o)>$o)]: ((((cOPEN@(sK1_Xx@SV152)) = (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV59@SX1)) | (~ (SX1@SX0))))))))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(res,[status(thm)],[395,205])).
% 48.33/48.51 thf(400,plain,(![SV152:((a>$o)>$o)]: ((((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0))))))))) = (cOPEN@(^[Xy:a]: $false)))=$false) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(res,[status(thm)],[395,17])).
% 48.33/48.51 thf(401,plain,(![SV152:((a>$o)>$o)]: ((((cOPEN@(sK1_Xx@SV152)) = (cOPEN@(^[Xy:a]: $true)))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true))),inference(res,[status(thm)],[395,13])).
% 48.33/48.51 thf(403,plain,(![SV152:((a>$o)>$o)]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK24_E@SV152))=$false) | (($true)=$false))),inference(extuni,[status(esa)],[401])).
% 48.33/48.51 thf(404,plain,(![SV152:((a>$o)>$o)]: (((cOPEN@(sK1_Xx@SV152))=$false) | ((~ (![SY150:(a>$o)]: (~ (~ ((~ (SV152@SY150)) | (~ (SY150@(sK25_E@SV152))))))))=$true) | (($false)=$true))),inference(extuni,[status(esa)],[400])).
% 48.33/48.51 thf(406,plain,(![SV152:((a>$o)>$o),SV59:((a>$o)>$o)]: (((SV59@(sK1_Xx@SV59))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$true) | ((~ (![SY151:(a>$o)]: (~ (~ ((~ (SV59@SY151)) | (~ (SY151@((sK26_E@SV59)@SV152))))))))=$true))),inference(extuni,[status(esa)],[398])).
% 48.33/48.51 thf(407,plain,(![SV152:((a>$o)>$o),SV59:((a>$o)>$o)]: (((SV59@(sK1_Xx@SV59))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$false) | ((~ (![SY151:(a>$o)]: (~ (~ ((~ (SV59@SY151)) | (~ (SY151@((sK26_E@SV59)@SV152))))))))=$false))),inference(extuni,[status(esa)],[398])).
% 48.33/48.51 thf(408,plain,(![SV152:((a>$o)>$o)]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((~ (![SY152:(a>$o)]: (~ (~ ((~ (SV152@SY152)) | (~ (SY152@(sK27_E@SV152))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$true))),inference(extuni,[status(esa)],[397])).
% 48.33/48.51 thf(409,plain,(![SV152:((a>$o)>$o)]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((~ (![SY152:(a>$o)]: (~ (~ ((~ (SV152@SY152)) | (~ (SY152@(sK27_E@SV152))))))))=$false) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$false))),inference(extuni,[status(esa)],[397])).
% 48.33/48.51 thf(410,plain,(![SV152:((a>$o)>$o)]: (((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$true) | ((~ (![SY153:(a>$o)]: (~ (~ ((~ (SV152@SY153)) | (~ (SY153@(sK28_E@SV152))))))))=$true))),inference(extuni,[status(esa)],[396])).
% 48.33/48.51 thf(411,plain,(![SV152:((a>$o)>$o)]: (((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$false) | ((~ (![SY153:(a>$o)]: (~ (~ ((~ (SV152@SY153)) | (~ (SY153@(sK28_E@SV152))))))))=$false))),inference(extuni,[status(esa)],[396])).
% 48.33/48.51 thf(413,plain,(![SV152:((a>$o)>$o)]: (((![SY150:(a>$o)]: (~ (~ ((~ (SV152@SY150)) | (~ (SY150@(sK25_E@SV152)))))))=$false) | ((cOPEN@(sK1_Xx@SV152))=$false) | (($false)=$true))),inference(extcnf_not_pos,[status(thm)],[404])).
% 48.33/48.51 thf(414,plain,(![SV152:((a>$o)>$o),SV59:((a>$o)>$o)]: (((![SY151:(a>$o)]: (~ (~ ((~ (SV59@SY151)) | (~ (SY151@((sK26_E@SV59)@SV152)))))))=$true) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_not_neg,[status(thm)],[407])).
% 48.33/48.51 thf(415,plain,(![SV152:((a>$o)>$o),SV59:((a>$o)>$o)]: (((![SY151:(a>$o)]: (~ (~ ((~ (SV59@SY151)) | (~ (SY151@((sK26_E@SV59)@SV152)))))))=$false) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_not_pos,[status(thm)],[406])).
% 48.33/48.51 thf(416,plain,(![SV152:((a>$o)>$o)]: (((![SY152:(a>$o)]: (~ (~ ((~ (SV152@SY152)) | (~ (SY152@(sK27_E@SV152)))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$false))),inference(extcnf_not_neg,[status(thm)],[409])).
% 48.33/48.51 thf(417,plain,(![SV152:((a>$o)>$o)]: (((![SY152:(a>$o)]: (~ (~ ((~ (SV152@SY152)) | (~ (SY152@(sK27_E@SV152)))))))=$false) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$true))),inference(extcnf_not_pos,[status(thm)],[408])).
% 48.33/48.51 thf(418,plain,(![SV152:((a>$o)>$o)]: (((![SY153:(a>$o)]: (~ (~ ((~ (SV152@SY153)) | (~ (SY153@(sK28_E@SV152)))))))=$true) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_not_neg,[status(thm)],[411])).
% 48.33/48.51 thf(419,plain,(![SV152:((a>$o)>$o)]: (((![SY153:(a>$o)]: (~ (~ ((~ (SV152@SY153)) | (~ (SY153@(sK28_E@SV152)))))))=$false) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_not_pos,[status(thm)],[410])).
% 48.33/48.51 thf(421,plain,(![SV152:((a>$o)>$o)]: (((~ (~ ((~ (SV152@(sK29_SY150@SV152))) | (~ ((sK29_SY150@SV152)@(sK25_E@SV152))))))=$false) | ((cOPEN@(sK1_Xx@SV152))=$false) | (($false)=$true))),inference(extcnf_forall_neg,[status(esa)],[413])).
% 48.33/48.51 thf(422,plain,(![SV152:((a>$o)>$o),SV154:(a>$o),SV59:((a>$o)>$o)]: (((~ (~ ((~ (SV59@SV154)) | (~ (SV154@((sK26_E@SV59)@SV152))))))=$true) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_forall_pos,[status(thm)],[414])).
% 48.33/48.51 thf(423,plain,(![SV152:((a>$o)>$o),SV59:((a>$o)>$o)]: (((~ (~ ((~ (SV59@((sK30_SY151@SV152)@SV59))) | (~ (((sK30_SY151@SV152)@SV59)@((sK26_E@SV59)@SV152))))))=$false) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_forall_neg,[status(esa)],[415])).
% 48.33/48.51 thf(424,plain,(![SV155:(a>$o),SV152:((a>$o)>$o)]: (((~ (~ ((~ (SV152@SV155)) | (~ (SV155@(sK27_E@SV152))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$false))),inference(extcnf_forall_pos,[status(thm)],[416])).
% 48.33/48.51 thf(425,plain,(![SV152:((a>$o)>$o)]: (((~ (~ ((~ (SV152@(sK31_SY152@SV152))) | (~ ((sK31_SY152@SV152)@(sK27_E@SV152))))))=$false) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$true))),inference(extcnf_forall_neg,[status(esa)],[417])).
% 48.33/48.51 thf(426,plain,(![SV156:(a>$o),SV152:((a>$o)>$o)]: (((~ (~ ((~ (SV152@SV156)) | (~ (SV156@(sK28_E@SV152))))))=$true) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_forall_pos,[status(thm)],[418])).
% 48.33/48.51 thf(427,plain,(![SV152:((a>$o)>$o)]: (((~ (~ ((~ (SV152@(sK32_SY153@SV152))) | (~ ((sK32_SY153@SV152)@(sK28_E@SV152))))))=$false) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_forall_neg,[status(esa)],[419])).
% 48.33/48.51 thf(429,plain,(![SV152:((a>$o)>$o)]: (((~ ((~ (SV152@(sK29_SY150@SV152))) | (~ ((sK29_SY150@SV152)@(sK25_E@SV152)))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false) | (($false)=$true))),inference(extcnf_not_neg,[status(thm)],[421])).
% 48.33/48.51 thf(430,plain,(![SV152:((a>$o)>$o),SV154:(a>$o),SV59:((a>$o)>$o)]: (((~ ((~ (SV59@SV154)) | (~ (SV154@((sK26_E@SV59)@SV152)))))=$false) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_not_pos,[status(thm)],[422])).
% 48.33/48.51 thf(431,plain,(![SV152:((a>$o)>$o),SV59:((a>$o)>$o)]: (((~ ((~ (SV59@((sK30_SY151@SV152)@SV59))) | (~ (((sK30_SY151@SV152)@SV59)@((sK26_E@SV59)@SV152)))))=$true) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_not_neg,[status(thm)],[423])).
% 48.33/48.51 thf(432,plain,(![SV155:(a>$o),SV152:((a>$o)>$o)]: (((~ ((~ (SV152@SV155)) | (~ (SV155@(sK27_E@SV152)))))=$false) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$false))),inference(extcnf_not_pos,[status(thm)],[424])).
% 48.33/48.51 thf(433,plain,(![SV152:((a>$o)>$o)]: (((~ ((~ (SV152@(sK31_SY152@SV152))) | (~ ((sK31_SY152@SV152)@(sK27_E@SV152)))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$true))),inference(extcnf_not_neg,[status(thm)],[425])).
% 48.33/48.51 thf(434,plain,(![SV156:(a>$o),SV152:((a>$o)>$o)]: (((~ ((~ (SV152@SV156)) | (~ (SV156@(sK28_E@SV152)))))=$false) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_not_pos,[status(thm)],[426])).
% 48.33/48.51 thf(435,plain,(![SV152:((a>$o)>$o)]: (((~ ((~ (SV152@(sK32_SY153@SV152))) | (~ ((sK32_SY153@SV152)@(sK28_E@SV152)))))=$true) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_not_neg,[status(thm)],[427])).
% 48.33/48.51 thf(437,plain,(![SV152:((a>$o)>$o)]: ((((~ (SV152@(sK29_SY150@SV152))) | (~ ((sK29_SY150@SV152)@(sK25_E@SV152))))=$false) | ((cOPEN@(sK1_Xx@SV152))=$false) | (($false)=$true))),inference(extcnf_not_pos,[status(thm)],[429])).
% 48.33/48.51 thf(438,plain,(![SV152:((a>$o)>$o),SV154:(a>$o),SV59:((a>$o)>$o)]: ((((~ (SV59@SV154)) | (~ (SV154@((sK26_E@SV59)@SV152))))=$true) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_not_neg,[status(thm)],[430])).
% 48.33/48.51 thf(439,plain,(![SV152:((a>$o)>$o),SV59:((a>$o)>$o)]: ((((~ (SV59@((sK30_SY151@SV152)@SV59))) | (~ (((sK30_SY151@SV152)@SV59)@((sK26_E@SV59)@SV152))))=$false) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_not_pos,[status(thm)],[431])).
% 48.33/48.51 thf(440,plain,(![SV155:(a>$o),SV152:((a>$o)>$o)]: ((((~ (SV152@SV155)) | (~ (SV155@(sK27_E@SV152))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$false))),inference(extcnf_not_neg,[status(thm)],[432])).
% 48.33/48.51 thf(441,plain,(![SV152:((a>$o)>$o)]: ((((~ (SV152@(sK31_SY152@SV152))) | (~ ((sK31_SY152@SV152)@(sK27_E@SV152))))=$false) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$true))),inference(extcnf_not_pos,[status(thm)],[433])).
% 48.33/48.51 thf(442,plain,(![SV156:(a>$o),SV152:((a>$o)>$o)]: ((((~ (SV152@SV156)) | (~ (SV156@(sK28_E@SV152))))=$true) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_not_neg,[status(thm)],[434])).
% 48.33/48.51 thf(443,plain,(![SV152:((a>$o)>$o)]: ((((~ (SV152@(sK32_SY153@SV152))) | (~ ((sK32_SY153@SV152)@(sK28_E@SV152))))=$false) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_not_pos,[status(thm)],[435])).
% 48.33/48.51 thf(445,plain,(![SV152:((a>$o)>$o)]: (((~ (SV152@(sK29_SY150@SV152)))=$false) | ((cOPEN@(sK1_Xx@SV152))=$false) | (($false)=$true))),inference(extcnf_or_neg,[status(thm)],[437])).
% 48.33/48.51 thf(446,plain,(![SV152:((a>$o)>$o)]: (((~ ((sK29_SY150@SV152)@(sK25_E@SV152)))=$false) | ((cOPEN@(sK1_Xx@SV152))=$false) | (($false)=$true))),inference(extcnf_or_neg,[status(thm)],[437])).
% 48.33/48.51 thf(447,plain,(![SV152:((a>$o)>$o),SV154:(a>$o),SV59:((a>$o)>$o)]: (((~ (SV59@SV154))=$true) | ((~ (SV154@((sK26_E@SV59)@SV152)))=$true) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_or_pos,[status(thm)],[438])).
% 48.33/48.51 thf(448,plain,(![SV152:((a>$o)>$o),SV59:((a>$o)>$o)]: (((~ (SV59@((sK30_SY151@SV152)@SV59)))=$false) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_or_neg,[status(thm)],[439])).
% 48.33/48.51 thf(449,plain,(![SV59:((a>$o)>$o),SV152:((a>$o)>$o)]: (((~ (((sK30_SY151@SV152)@SV59)@((sK26_E@SV59)@SV152)))=$false) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_or_neg,[status(thm)],[439])).
% 48.33/48.51 thf(450,plain,(![SV155:(a>$o),SV152:((a>$o)>$o)]: (((~ (SV152@SV155))=$true) | ((~ (SV155@(sK27_E@SV152)))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$false))),inference(extcnf_or_pos,[status(thm)],[440])).
% 48.33/48.51 thf(451,plain,(![SV152:((a>$o)>$o)]: (((~ (SV152@(sK31_SY152@SV152)))=$false) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$true))),inference(extcnf_or_neg,[status(thm)],[441])).
% 48.33/48.51 thf(452,plain,(![SV152:((a>$o)>$o)]: (((~ ((sK31_SY152@SV152)@(sK27_E@SV152)))=$false) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$true))),inference(extcnf_or_neg,[status(thm)],[441])).
% 48.33/48.51 thf(453,plain,(![SV156:(a>$o),SV152:((a>$o)>$o)]: (((~ (SV152@SV156))=$true) | ((~ (SV156@(sK28_E@SV152)))=$true) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_or_pos,[status(thm)],[442])).
% 48.33/48.51 thf(454,plain,(![SV152:((a>$o)>$o)]: (((~ (SV152@(sK32_SY153@SV152)))=$false) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_or_neg,[status(thm)],[443])).
% 48.33/48.51 thf(455,plain,(![SV152:((a>$o)>$o)]: (((~ ((sK32_SY153@SV152)@(sK28_E@SV152)))=$false) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_or_neg,[status(thm)],[443])).
% 48.33/48.51 thf(457,plain,(![SV152:((a>$o)>$o)]: (((SV152@(sK29_SY150@SV152))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false) | (($false)=$true))),inference(extcnf_not_neg,[status(thm)],[445])).
% 48.33/48.51 thf(458,plain,(![SV152:((a>$o)>$o)]: ((((sK29_SY150@SV152)@(sK25_E@SV152))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false) | (($false)=$true))),inference(extcnf_not_neg,[status(thm)],[446])).
% 48.33/48.51 thf(459,plain,(![SV152:((a>$o)>$o),SV154:(a>$o),SV59:((a>$o)>$o)]: (((SV59@SV154)=$false) | ((~ (SV154@((sK26_E@SV59)@SV152)))=$true) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_not_pos,[status(thm)],[447])).
% 48.33/48.51 thf(460,plain,(![SV152:((a>$o)>$o),SV59:((a>$o)>$o)]: (((SV59@((sK30_SY151@SV152)@SV59))=$true) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_not_neg,[status(thm)],[448])).
% 48.33/48.51 thf(461,plain,(![SV59:((a>$o)>$o),SV152:((a>$o)>$o)]: (((((sK30_SY151@SV152)@SV59)@((sK26_E@SV59)@SV152))=$true) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_not_neg,[status(thm)],[449])).
% 48.33/48.51 thf(462,plain,(![SV155:(a>$o),SV152:((a>$o)>$o)]: (((SV152@SV155)=$false) | ((~ (SV155@(sK27_E@SV152)))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$false))),inference(extcnf_not_pos,[status(thm)],[450])).
% 48.33/48.51 thf(463,plain,(![SV152:((a>$o)>$o)]: (((SV152@(sK31_SY152@SV152))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$true))),inference(extcnf_not_neg,[status(thm)],[451])).
% 48.33/48.51 thf(464,plain,(![SV152:((a>$o)>$o)]: ((((sK31_SY152@SV152)@(sK27_E@SV152))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$true))),inference(extcnf_not_neg,[status(thm)],[452])).
% 48.33/48.51 thf(465,plain,(![SV156:(a>$o),SV152:((a>$o)>$o)]: (((SV152@SV156)=$false) | ((~ (SV156@(sK28_E@SV152)))=$true) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_not_pos,[status(thm)],[453])).
% 48.33/48.51 thf(466,plain,(![SV152:((a>$o)>$o)]: (((SV152@(sK32_SY153@SV152))=$true) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_not_neg,[status(thm)],[454])).
% 48.33/48.51 thf(467,plain,(![SV152:((a>$o)>$o)]: ((((sK32_SY153@SV152)@(sK28_E@SV152))=$true) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_not_neg,[status(thm)],[455])).
% 48.33/48.51 thf(469,plain,(![SV152:((a>$o)>$o),SV59:((a>$o)>$o),SV154:(a>$o)]: (((SV154@((sK26_E@SV59)@SV152))=$false) | ((SV59@SV154)=$false) | (((sK1_Xx@SV152)@((sK26_E@SV59)@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(extcnf_not_pos,[status(thm)],[459])).
% 48.33/48.51 thf(470,plain,(![SV152:((a>$o)>$o),SV155:(a>$o)]: (((SV155@(sK27_E@SV152))=$false) | ((SV152@SV155)=$false) | ((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK27_E@SV152))=$false))),inference(extcnf_not_pos,[status(thm)],[462])).
% 48.33/48.51 thf(471,plain,(![SV152:((a>$o)>$o),SV156:(a>$o)]: (((SV156@(sK28_E@SV152))=$false) | ((SV152@SV156)=$false) | (((sK1_Xx@SV152)@(sK28_E@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(extcnf_not_pos,[status(thm)],[465])).
% 48.33/48.51 thf(472,plain,(![SV152:((a>$o)>$o)]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(sK24_E@SV152))=$false))),inference(sim,[status(thm)],[403])).
% 48.33/48.51 thf(473,plain,(![SV152:((a>$o)>$o)]: (((SV152@(sK29_SY150@SV152))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(sim,[status(thm)],[457])).
% 48.33/48.51 thf(474,plain,(![SV152:((a>$o)>$o)]: ((((sK29_SY150@SV152)@(sK25_E@SV152))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(sim,[status(thm)],[458])).
% 48.33/48.51 thf(475,plain,(![SV157:(a>$o),SV158:(a>$o)]: (((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (SV158@SX0))))))=$true))),inference(rename,[status(thm)],[31])).
% 48.33/48.51 thf(480,plain,(![SV157:(a>$o),SV158:(a>$o),SV152:((a>$o)>$o)]: ((((cOPEN@SV157) = (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0))))))))))=$false) | ((cOPEN@SV158)=$false) | ((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (SV158@SX0))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(res,[status(thm)],[475,395])).
% 48.33/48.51 thf(481,plain,(![SV157:(a>$o),SV158:(a>$o),SV152:((a>$o)>$o)]: ((((cOPEN@SV158) = (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0))))))))))=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (SV158@SX0))))))=$true) | ((cOPEN@(sK1_Xx@SV152))=$false))),inference(res,[status(thm)],[475,395])).
% 48.33/48.51 thf(482,plain,(![SV157:(a>$o),SV158:(a>$o),SV152:((a>$o)>$o)]: ((((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (SV158@SX0)))))) = (cOPEN@(sK1_Xx@SV152)))=$false) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true))),inference(res,[status(thm)],[475,395])).
% 48.33/48.51 thf(483,plain,(![SV157:(a>$o),SV158:(a>$o),SV59:((a>$o)>$o)]: ((((cOPEN@SV157) = (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV59@SX1)) | (~ (SX1@SX0))))))))))=$false) | ((cOPEN@SV158)=$false) | ((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (SV158@SX0))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(res,[status(thm)],[475,205])).
% 48.33/48.51 thf(484,plain,(![SV157:(a>$o),SV158:(a>$o),SV59:((a>$o)>$o)]: ((((cOPEN@SV158) = (cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV59@SX1)) | (~ (SX1@SX0))))))))))=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (SV158@SX0))))))=$true) | ((SV59@(sK1_Xx@SV59))=$true))),inference(res,[status(thm)],[475,205])).
% 48.33/48.51 thf(487,plain,(![SV157:(a>$o),SV158:(a>$o)]: ((((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (SV158@SX0)))))) = (cOPEN@(^[Xy:a]: $false)))=$false) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false))),inference(res,[status(thm)],[475,17])).
% 48.33/48.51 thf(488,plain,(![SV157:(a>$o),SV158:(a>$o)]: ((((cOPEN@SV157) = (cOPEN@(^[Xy:a]: $true)))=$false) | ((cOPEN@SV158)=$false) | ((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (SV158@SX0))))))=$true))),inference(res,[status(thm)],[475,13])).
% 48.33/48.51 thf(489,plain,(![SV157:(a>$o),SV158:(a>$o)]: ((((cOPEN@SV158) = (cOPEN@(^[Xy:a]: $true)))=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (SV158@SX0))))))=$true))),inference(res,[status(thm)],[475,13])).
% 48.33/48.51 thf(490,plain,(![SV157:(a>$o)]: (((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ ($true))))))=$true) | ((cOPEN@SV157)=$false))),inference(extuni,[status(esa)],[489:[bind(SV158,$thf(^[SX0:a]: $true))]])).
% 48.33/48.51 thf(491,plain,(![SV158:(a>$o)]: (((cOPEN@(^[SX0:a]: (~ ((~ ($true)) | (~ (SV158@SX0))))))=$true) | ((cOPEN@SV158)=$false))),inference(extuni,[status(esa)],[488:[bind(SV157,$thf(^[SX0:a]: $true))]])).
% 48.33/48.51 thf(492,plain,(![SV158:(a>$o),SV157:(a>$o)]: (((cOPEN@SV157)=$false) | ((cOPEN@SV158)=$false) | ((~ ((~ (SV157@((sK39_E@SV158)@SV157))) | (~ (SV158@((sK39_E@SV158)@SV157)))))=$true) | (($false)=$true))),inference(extuni,[status(esa)],[487])).
% 48.33/48.51 thf(494,plain,(![SV157:(a>$o),SV59:((a>$o)>$o)]: (((SV59@(sK1_Xx@SV59))=$true) | ((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV59@SX1)) | (~ (SX1@SX0))))))))))))=$true) | ((cOPEN@SV157)=$false))),inference(extuni,[status(esa)],[484:[bind(SV158,$thf(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV59@SX1)) | (~ (SX1@SX0)))))))))]])).
% 48.33/48.51 thf(495,plain,(![SV158:(a>$o),SV59:((a>$o)>$o)]: (((SV59@(sK1_Xx@SV59))=$true) | ((cOPEN@(^[SX0:a]: (~ ((~ (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV59@SX1)) | (~ (SX1@SX0)))))))) | (~ (SV158@SX0))))))=$true) | ((cOPEN@SV158)=$false))),inference(extuni,[status(esa)],[483:[bind(SV157,$thf(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV59@SX1)) | (~ (SX1@SX0)))))))))]])).
% 48.33/48.51 thf(496,plain,(![SV158:(a>$o),SV157:(a>$o),SV152:((a>$o)>$o)]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@SV157)=$false) | ((cOPEN@SV158)=$false) | ((~ ((~ (SV157@(((sK40_E@SV152)@SV158)@SV157))) | (~ (SV158@(((sK40_E@SV152)@SV158)@SV157)))))=$true) | (((sK1_Xx@SV152)@(((sK40_E@SV152)@SV158)@SV157))=$true))),inference(extuni,[status(esa)],[482])).
% 48.33/48.51 thf(497,plain,(![SV158:(a>$o),SV157:(a>$o),SV152:((a>$o)>$o)]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@SV157)=$false) | ((cOPEN@SV158)=$false) | ((~ ((~ (SV157@(((sK40_E@SV152)@SV158)@SV157))) | (~ (SV158@(((sK40_E@SV152)@SV158)@SV157)))))=$false) | (((sK1_Xx@SV152)@(((sK40_E@SV152)@SV158)@SV157))=$false))),inference(extuni,[status(esa)],[482])).
% 48.33/48.51 thf(498,plain,(![SV157:(a>$o),SV152:((a>$o)>$o)]: (((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0))))))))))))=$true) | ((cOPEN@SV157)=$false))),inference(extuni,[status(esa)],[481:[bind(SV158,$thf(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))]])).
% 48.33/48.51 thf(499,plain,(![SV158:(a>$o),SV152:((a>$o)>$o)]: (((cOPEN@(sK1_Xx@SV152))=$false) | ((cOPEN@(^[SX0:a]: (~ ((~ (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))) | (~ (SV158@SX0))))))=$true) | ((cOPEN@SV158)=$false))),inference(extuni,[status(esa)],[480:[bind(SV157,$thf(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))]])).
% 48.33/48.51 thf(501,plain,(![SV158:(a>$o),SV157:(a>$o)]: ((((~ (SV157@((sK39_E@SV158)@SV157))) | (~ (SV158@((sK39_E@SV158)@SV157))))=$false) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | (($false)=$true))),inference(extcnf_not_pos,[status(thm)],[492])).
% 48.33/48.51 thf(502,plain,(![SV158:(a>$o),SV152:((a>$o)>$o),SV157:(a>$o)]: ((((~ (SV157@(((sK40_E@SV152)@SV158)@SV157))) | (~ (SV158@(((sK40_E@SV152)@SV158)@SV157))))=$true) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(((sK40_E@SV152)@SV158)@SV157))=$false))),inference(extcnf_not_neg,[status(thm)],[497])).
% 48.33/48.51 thf(503,plain,(![SV158:(a>$o),SV152:((a>$o)>$o),SV157:(a>$o)]: ((((~ (SV157@(((sK40_E@SV152)@SV158)@SV157))) | (~ (SV158@(((sK40_E@SV152)@SV158)@SV157))))=$false) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(((sK40_E@SV152)@SV158)@SV157))=$true))),inference(extcnf_not_pos,[status(thm)],[496])).
% 48.33/48.51 thf(505,plain,(![SV158:(a>$o),SV157:(a>$o)]: (((~ (SV157@((sK39_E@SV158)@SV157)))=$false) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | (($false)=$true))),inference(extcnf_or_neg,[status(thm)],[501])).
% 48.33/48.51 thf(506,plain,(![SV157:(a>$o),SV158:(a>$o)]: (((~ (SV158@((sK39_E@SV158)@SV157)))=$false) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | (($false)=$true))),inference(extcnf_or_neg,[status(thm)],[501])).
% 48.33/48.51 thf(507,plain,(![SV158:(a>$o),SV152:((a>$o)>$o),SV157:(a>$o)]: (((~ (SV157@(((sK40_E@SV152)@SV158)@SV157)))=$true) | ((~ (SV158@(((sK40_E@SV152)@SV158)@SV157)))=$true) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(((sK40_E@SV152)@SV158)@SV157))=$false))),inference(extcnf_or_pos,[status(thm)],[502])).
% 48.33/48.51 thf(508,plain,(![SV158:(a>$o),SV152:((a>$o)>$o),SV157:(a>$o)]: (((~ (SV157@(((sK40_E@SV152)@SV158)@SV157)))=$false) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(((sK40_E@SV152)@SV158)@SV157))=$true))),inference(extcnf_or_neg,[status(thm)],[503])).
% 48.33/48.51 thf(509,plain,(![SV157:(a>$o),SV152:((a>$o)>$o),SV158:(a>$o)]: (((~ (SV158@(((sK40_E@SV152)@SV158)@SV157)))=$false) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(((sK40_E@SV152)@SV158)@SV157))=$true))),inference(extcnf_or_neg,[status(thm)],[503])).
% 48.33/48.51 thf(511,plain,(![SV158:(a>$o),SV157:(a>$o)]: (((SV157@((sK39_E@SV158)@SV157))=$true) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | (($false)=$true))),inference(extcnf_not_neg,[status(thm)],[505])).
% 48.33/48.51 thf(512,plain,(![SV157:(a>$o),SV158:(a>$o)]: (((SV158@((sK39_E@SV158)@SV157))=$true) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | (($false)=$true))),inference(extcnf_not_neg,[status(thm)],[506])).
% 48.33/48.51 thf(513,plain,(![SV158:(a>$o),SV152:((a>$o)>$o),SV157:(a>$o)]: (((SV157@(((sK40_E@SV152)@SV158)@SV157))=$false) | ((~ (SV158@(((sK40_E@SV152)@SV158)@SV157)))=$true) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(((sK40_E@SV152)@SV158)@SV157))=$false))),inference(extcnf_not_pos,[status(thm)],[507])).
% 48.33/48.51 thf(514,plain,(![SV158:(a>$o),SV152:((a>$o)>$o),SV157:(a>$o)]: (((SV157@(((sK40_E@SV152)@SV158)@SV157))=$true) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(((sK40_E@SV152)@SV158)@SV157))=$true))),inference(extcnf_not_neg,[status(thm)],[508])).
% 48.33/48.51 thf(515,plain,(![SV157:(a>$o),SV152:((a>$o)>$o),SV158:(a>$o)]: (((SV158@(((sK40_E@SV152)@SV158)@SV157))=$true) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(((sK40_E@SV152)@SV158)@SV157))=$true))),inference(extcnf_not_neg,[status(thm)],[509])).
% 48.33/48.51 thf(517,plain,(![SV157:(a>$o),SV152:((a>$o)>$o),SV158:(a>$o)]: (((SV158@(((sK40_E@SV152)@SV158)@SV157))=$false) | ((SV157@(((sK40_E@SV152)@SV158)@SV157))=$false) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@(((sK40_E@SV152)@SV158)@SV157))=$false))),inference(extcnf_not_pos,[status(thm)],[513])).
% 48.33/48.51 thf(518,plain,(![SV158:(a>$o),SV157:(a>$o)]: (((SV157@((sK39_E@SV158)@SV157))=$true) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false))),inference(sim,[status(thm)],[511])).
% 48.33/48.51 thf(519,plain,(![SV157:(a>$o),SV158:(a>$o)]: (((SV158@((sK39_E@SV158)@SV157))=$true) | ((cOPEN@SV158)=$false) | ((cOPEN@SV157)=$false))),inference(sim,[status(thm)],[512])).
% 48.33/48.51 thf(521,plain,(![SV160:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(rename,[status(thm)],[125])).
% 48.33/48.51 thf(522,plain,(![SV160:((a>$o)>(a>((a>$o)>a))),SV157:(a>$o),SV158:(a>$o)]: ((((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1))))))) = (cOPEN@SV157))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@SV158)=$false) | ((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (SV158@SX0))))))=$true))),inference(res,[status(thm)],[521,475])).
% 48.33/48.51 thf(524,plain,(![SV160:((a>$o)>(a>((a>$o)>a))),SV157:(a>$o),SV158:(a>$o)]: ((((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1))))))) = (cOPEN@SV157))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((cOPEN@SV158)=$false) | ((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (SV158@SX0))))))=$true))),inference(res,[status(thm)],[521,475])).
% 48.33/48.51 thf(525,plain,(![SV160:((a>$o)>(a>((a>$o)>a))),SV157:(a>$o),SV158:(a>$o)]: ((((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1))))))) = (cOPEN@SV158))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (SV158@SX0))))))=$true))),inference(res,[status(thm)],[521,475])).
% 48.33/48.51 thf(527,plain,(![SV160:((a>$o)>(a>((a>$o)>a))),SV157:(a>$o),SV158:(a>$o)]: ((((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1))))))) = (cOPEN@SV158))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (SV158@SX0))))))=$true))),inference(res,[status(thm)],[521,475])).
% 48.33/48.51 thf(528,plain,(![SV160:((a>$o)>(a>((a>$o)>a))),SV152:((a>$o)>$o)]: ((((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1))))))) = (cOPEN@(sK1_Xx@SV152)))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true))),inference(res,[status(thm)],[521,395])).
% 48.33/48.51 thf(530,plain,(![SV160:((a>$o)>(a>((a>$o)>a))),SV152:((a>$o)>$o)]: ((((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1))))))) = (cOPEN@(sK1_Xx@SV152)))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true))),inference(res,[status(thm)],[521,395])).
% 48.33/48.51 thf(531,plain,(![SV160:((a>$o)>(a>((a>$o)>a)))]: ((((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1))))))) = (cOPEN@(^[Xy:a]: $false)))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true))),inference(res,[status(thm)],[521,17])).
% 48.33/48.51 thf(533,plain,(![SV160:((a>$o)>(a>((a>$o)>a)))]: ((((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1))))))) = (cOPEN@(^[Xy:a]: $false)))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(res,[status(thm)],[521,17])).
% 48.33/48.51 thf(534,plain,(![SV160:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((~ (![SY204:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@(sK61_E@SV160))@SY204)))))=$true) | (($false)=$true))),inference(extuni,[status(esa)],[533])).
% 48.33/48.51 thf(536,plain,(![SV160:((a>$o)>(a>((a>$o)>a)))]: ((((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | ((~ (![SY211:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@(sK62_E@SV160))@SY211)))))=$true) | (($false)=$true))),inference(extuni,[status(esa)],[531])).
% 48.33/48.51 thf(538,plain,(![SV160:((a>$o)>(a>((a>$o)>a))),SV152:((a>$o)>$o)]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((~ (![SY218:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@((sK63_E@SV152)@SV160))@SY218)))))=$true) | (((sK1_Xx@SV152)@((sK63_E@SV152)@SV160))=$true))),inference(extuni,[status(esa)],[530])).
% 48.33/48.51 thf(539,plain,(![SV160:((a>$o)>(a>((a>$o)>a))),SV152:((a>$o)>$o)]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((~ (![SY218:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@((sK63_E@SV152)@SV160))@SY218)))))=$false) | (((sK1_Xx@SV152)@((sK63_E@SV152)@SV160))=$false))),inference(extuni,[status(esa)],[530])).
% 48.33/48.51 thf(540,plain,(![SV160:((a>$o)>(a>((a>$o)>a))),SV152:((a>$o)>$o)]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | ((~ (![SY225:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@((sK64_E@SV152)@SV160))@SY225)))))=$true) | (((sK1_Xx@SV152)@((sK64_E@SV152)@SV160))=$true))),inference(extuni,[status(esa)],[528])).
% 48.33/48.51 thf(541,plain,(![SV160:((a>$o)>(a>((a>$o)>a))),SV152:((a>$o)>$o)]: (((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | ((~ (![SY225:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@((sK64_E@SV152)@SV160))@SY225)))))=$false) | (((sK1_Xx@SV152)@((sK64_E@SV152)@SV160))=$false))),inference(extuni,[status(esa)],[528])).
% 48.33/48.51 thf(542,plain,(![SV160:((a>$o)>(a>((a>$o)>a))),SV157:(a>$o)]: (((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1))))))))))=$true) | ((cOPEN@SV157)=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true))),inference(extuni,[status(esa)],[527:[bind(SV158,$thf(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))]])).
% 48.33/48.51 thf(543,plain,(![SV160:((a>$o)>(a>((a>$o)>a))),SV157:(a>$o)]: (((cOPEN@(^[SX0:a]: (~ ((~ (SV157@SX0)) | (~ (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1))))))))))=$true) | ((cOPEN@SV157)=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true))),inference(extuni,[status(esa)],[525:[bind(SV158,$thf(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))]])).
% 48.33/48.51 thf(544,plain,(![SV158:(a>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ ((~ (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))) | (~ (SV158@SX0))))))=$true) | ((cOPEN@SV158)=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true))),inference(extuni,[status(esa)],[524:[bind(SV157,$thf(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))]])).
% 48.33/48.51 thf(545,plain,(![SV158:(a>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: (((cOPEN@(^[SX0:a]: (~ ((~ (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))) | (~ (SV158@SX0))))))=$true) | ((cOPEN@SV158)=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true))),inference(extuni,[status(esa)],[522:[bind(SV157,$thf(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))]])).
% 48.33/48.51 thf(547,plain,(![SV160:((a>$o)>(a>((a>$o)>a)))]: (((![SY204:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@(sK61_E@SV160))@SY204))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | (($false)=$true))),inference(extcnf_not_pos,[status(thm)],[534])).
% 48.33/48.51 thf(549,plain,(![SV160:((a>$o)>(a>((a>$o)>a)))]: (((![SY211:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@(sK62_E@SV160))@SY211))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | (($false)=$true))),inference(extcnf_not_pos,[status(thm)],[536])).
% 48.33/48.51 thf(550,plain,(![SV152:((a>$o)>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: (((![SY218:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@((sK63_E@SV152)@SV160))@SY218))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK63_E@SV152)@SV160))=$false))),inference(extcnf_not_neg,[status(thm)],[539])).
% 48.33/48.51 thf(551,plain,(![SV152:((a>$o)>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: (((![SY218:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@((sK63_E@SV152)@SV160))@SY218))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK63_E@SV152)@SV160))=$true))),inference(extcnf_not_pos,[status(thm)],[538])).
% 48.33/48.51 thf(552,plain,(![SV152:((a>$o)>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: (((![SY225:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@((sK64_E@SV152)@SV160))@SY225))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK64_E@SV152)@SV160))=$false))),inference(extcnf_not_neg,[status(thm)],[541])).
% 48.33/48.51 thf(553,plain,(![SV152:((a>$o)>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: (((![SY225:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@((sK64_E@SV152)@SV160))@SY225))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK64_E@SV152)@SV160))=$true))),inference(extcnf_not_pos,[status(thm)],[540])).
% 48.33/48.51 thf(555,plain,(![SV160:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@(sK61_E@SV160))@(sK65_SY204@SV160))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | (($false)=$true))),inference(extcnf_forall_neg,[status(esa)],[547])).
% 48.33/48.51 thf(557,plain,(![SV160:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@(sK62_E@SV160))@(sK66_SY211@SV160))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | (($false)=$true))),inference(extcnf_forall_neg,[status(esa)],[549])).
% 48.33/48.51 thf(558,plain,(![SV163:(a>$o),SV152:((a>$o)>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@((sK63_E@SV152)@SV160))@SV163)))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK63_E@SV152)@SV160))=$false))),inference(extcnf_forall_pos,[status(thm)],[550])).
% 48.33/48.51 thf(559,plain,(![SV152:((a>$o)>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@((sK63_E@SV152)@SV160))@((sK67_SY218@SV152)@SV160))))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK63_E@SV152)@SV160))=$true))),inference(extcnf_forall_neg,[status(esa)],[551])).
% 48.33/48.51 thf(560,plain,(![SV164:(a>$o),SV152:((a>$o)>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@((sK64_E@SV152)@SV160))@SV164)))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK64_E@SV152)@SV160))=$false))),inference(extcnf_forall_pos,[status(thm)],[552])).
% 48.33/48.51 thf(561,plain,(![SV152:((a>$o)>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: (((~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@((sK64_E@SV152)@SV160))@((sK68_SY225@SV152)@SV160))))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK64_E@SV152)@SV160))=$true))),inference(extcnf_forall_neg,[status(esa)],[553])).
% 48.33/48.51 thf(563,plain,(![SV160:((a>$o)>(a>((a>$o)>a)))]: ((((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@(sK61_E@SV160))@(sK65_SY204@SV160)))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | (($false)=$true))),inference(extcnf_not_neg,[status(thm)],[555])).
% 48.33/48.51 thf(565,plain,(![SV160:((a>$o)>(a>((a>$o)>a)))]: ((((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@(sK62_E@SV160))@(sK66_SY211@SV160)))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | (($false)=$true))),inference(extcnf_not_neg,[status(thm)],[557])).
% 48.33/48.51 thf(566,plain,(![SV163:(a>$o),SV152:((a>$o)>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: ((((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@((sK63_E@SV152)@SV160))@SV163))=$false) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK63_E@SV152)@SV160))=$false))),inference(extcnf_not_pos,[status(thm)],[558])).
% 48.33/48.51 thf(567,plain,(![SV152:((a>$o)>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: ((((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@((sK63_E@SV152)@SV160))@((sK67_SY218@SV152)@SV160)))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK63_E@SV152)@SV160))=$true))),inference(extcnf_not_neg,[status(thm)],[559])).
% 48.33/48.51 thf(568,plain,(![SV164:(a>$o),SV152:((a>$o)>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: ((((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@((sK64_E@SV152)@SV160))@SV164))=$false) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK64_E@SV152)@SV160))=$false))),inference(extcnf_not_pos,[status(thm)],[560])).
% 48.33/48.51 thf(569,plain,(![SV152:((a>$o)>$o),SV160:((a>$o)>(a>((a>$o)>a)))]: ((((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@((sK64_E@SV152)@SV160))@((sK68_SY225@SV152)@SV160)))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ (~ ((~ (SV152@SX1)) | (~ (SX1@SX0)))))))))=$true) | (((sK1_Xx@SV152)@((sK64_E@SV152)@SV160))=$true))),inference(extcnf_not_neg,[status(thm)],[561])).
% 48.33/48.51 thf(570,plain,(![SV160:((a>$o)>(a>((a>$o)>a)))]: ((((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@(sK61_E@SV160))@(sK65_SY204@SV160)))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@SX0)@SX1)))))))=$true))),inference(sim,[status(thm)],[563])).
% 48.33/48.51 thf(571,plain,(![SV160:((a>$o)>(a>((a>$o)>a)))]: ((((sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))))))@(((SV160@(sK1_Xx@(^[SX2:(a>$o)]: (cOPEN@(^[SX3:a]: (~ (![SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))))))@(sK62_E@SV160))@(sK66_SY211@SV160)))=$true) | ((cOPEN@(^[SX0:a]: (~ (![SX1:(a>$o)]: (~ ((sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4)))))@(((SV160@(sK3_E@(^[SX2:(a>$o),SX3:a,SX4:(a>$o)]: (~ (SX2@(((SV160@SX2)@SX3)@SX4))))))@SX0)@SX1)))))))=$true) | (((sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))))@(((SV160@(sK1_Xx@(^[SX0:(a>$o)]: (cOPEN@(^[SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))))@(sK2_E@(^[SX0:(a>$o),SX1:a]: (~ (![SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2))))))))@(sK3_E@(^[SX0:(a>$o),SX1:a,SX2:(a>$o)]: (~ (SX0@(((SV160@SX0)@SX1)@SX2)))))))=$true))),inference(sim,[status(thm)],[565])).
% 48.33/48.51 thf(572,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[13,571,570,569,568,567,566,545,544,543,542,521,519,518,517,515,514,499,498,495,494,491,490,475,474,473,472,471,470,469,467,466,464,463,461,460,395,394,393,392,391,390,389,388,387,386,385,382,381,379,378,376,375,364,363,362,361,360,358,357,342,341,339,338,337,336,335,334,313,312,310,309,252,251,222,221,220,217,216,214,213,210,205,201,200,199,198,197,196,195,194,193,192,190,189,187,186,184,183,175,174,173,172,171,169,168,156,155,153,152,151,150,149,148,129,128,126,17])).
% 48.33/48.51 thf(573,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[572])).
% 48.33/48.51 % SZS output end CNFRefutation
% 48.33/48.51
% 48.33/48.51 %**** End of derivation protocol ****
% 48.33/48.51 %**** no. of clauses in derivation: 513 ****
% 48.33/48.51 %**** clause counter: 572 ****
% 48.33/48.51
% 48.33/48.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,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:572,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------