0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.07	% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
0.22/0.48	% Computer : n006.cluster.edu
0.22/0.48	% Model    : x86_64 x86_64
0.22/0.48	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.22/0.48	% Memory   : 8046.5625MB
0.22/0.48	% OS       : Linux 6.8.0-71-generic
0.22/0.48	% CPULimit : 1440
0.22/0.48	% WCLimit  : 180
0.22/0.49	% DateTime : Mon Jul 27 09:16:34 UTC 2026
0.22/0.49	% CPUTime  : 
0.22/0.50	
0.22/0.50	 No.of.Axioms: 4
0.22/0.50	
0.22/0.50	 Length.of.Defs: 0
0.22/0.50	
0.22/0.50	 Contains.Choice.Funs: false
0.22/0.51	(rf:0,axioms:4,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:6,loop_count:0,foatp_calls:0,translation:fof_full)................
51.75/52.12	
51.75/52.12	********************************
51.75/52.12	*   All subproblems solved!    *
51.75/52.12	********************************
51.75/52.12	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:577,loop_count:20,foatp_calls:3,translation:fof_full)
52.35/52.67	
52.35/52.67	%**** Beginning of derivation protocol ****
52.35/52.67	% SZS output start CNFRefutation
52.35/52.67	 thf(tp_nat,type,(nat: $tType)).
52.35/52.67	 thf(tp_diffprop,type,(diffprop: (nat>(nat>(nat>$o))))).
52.35/52.67	 thf(tp_lessis,type,(lessis: (nat>(nat>$o)))).
52.35/52.67	 thf(tp_moreis,type,(moreis: (nat>(nat>$o)))).
52.35/52.67	 thf(tp_sK10_E,type,(sK10_E: (nat>nat))).
52.35/52.67	 thf(tp_sK11_E,type,(sK11_E: (nat>(nat>(nat>(nat>nat)))))).
52.35/52.67	 thf(tp_sK12_E,type,(sK12_E: nat)).
52.35/52.67	 thf(tp_sK13_E,type,(sK13_E: nat)).
52.35/52.67	 thf(tp_sK14_E,type,(sK14_E: nat)).
52.35/52.67	 thf(tp_sK15_E,type,(sK15_E: (nat>(nat>(nat>nat))))).
52.35/52.67	 thf(tp_sK16_E,type,(sK16_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK17_E,type,(sK17_E: nat)).
52.35/52.67	 thf(tp_sK18_E,type,(sK18_E: nat)).
52.35/52.67	 thf(tp_sK19_E,type,(sK19_E: nat)).
52.35/52.67	 thf(tp_sK1_E,type,(sK1_E: nat)).
52.35/52.67	 thf(tp_sK20_E,type,(sK20_E: nat)).
52.35/52.67	 thf(tp_sK21_E,type,(sK21_E: nat)).
52.35/52.67	 thf(tp_sK22_E,type,(sK22_E: (nat>(nat>(nat>nat))))).
52.35/52.67	 thf(tp_sK23_E,type,(sK23_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK24_E,type,(sK24_E: nat)).
52.35/52.67	 thf(tp_sK25_E,type,(sK25_E: nat)).
52.35/52.67	 thf(tp_sK26_E,type,(sK26_E: (nat>nat))).
52.35/52.67	 thf(tp_sK27_E,type,(sK27_E: (nat>(nat>(nat>(nat>nat)))))).
52.35/52.67	 thf(tp_sK28_E,type,(sK28_E: (nat>(nat>nat)))).
52.35/52.67	 thf(tp_sK29_E,type,(sK29_E: (nat>(nat>(nat>(nat>nat)))))).
52.35/52.67	 thf(tp_sK2_E,type,(sK2_E: nat)).
52.35/52.67	 thf(tp_sK30_E,type,(sK30_E: (nat>(nat>(nat>(nat>nat)))))).
52.35/52.67	 thf(tp_sK31_E,type,(sK31_E: nat)).
52.35/52.67	 thf(tp_sK32_E,type,(sK32_E: nat)).
52.35/52.67	 thf(tp_sK33_E,type,(sK33_E: (nat>(nat>(nat>nat))))).
52.35/52.67	 thf(tp_sK34_E,type,(sK34_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK35_E,type,(sK35_E: (nat>(nat>(nat>(nat>nat)))))).
52.35/52.67	 thf(tp_sK36_E,type,(sK36_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK37_E,type,(sK37_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK38_E,type,(sK38_E: nat)).
52.35/52.67	 thf(tp_sK39_E,type,(sK39_E: nat)).
52.35/52.67	 thf(tp_sK3_E,type,(sK3_E: nat)).
52.35/52.67	 thf(tp_sK40_E,type,(sK40_E: nat)).
52.35/52.67	 thf(tp_sK41_E,type,(sK41_E: nat)).
52.35/52.67	 thf(tp_sK42_E,type,(sK42_E: (nat>(nat>(nat>nat))))).
52.35/52.67	 thf(tp_sK43_E,type,(sK43_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK44_E,type,(sK44_E: (nat>(nat>(nat>(nat>nat)))))).
52.35/52.67	 thf(tp_sK45_E,type,(sK45_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK46_E,type,(sK46_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK47_E,type,(sK47_E: nat)).
52.35/52.67	 thf(tp_sK48_E,type,(sK48_E: nat)).
52.35/52.67	 thf(tp_sK49_E,type,(sK49_E: nat)).
52.35/52.67	 thf(tp_sK4_E,type,(sK4_E: (nat>(nat>(nat>nat))))).
52.35/52.67	 thf(tp_sK50_E,type,(sK50_E: nat)).
52.35/52.67	 thf(tp_sK51_E,type,(sK51_E: (nat>(nat>(nat>nat))))).
52.35/52.67	 thf(tp_sK52_E,type,(sK52_E: (nat>(nat>(nat>nat))))).
52.35/52.67	 thf(tp_sK53_E,type,(sK53_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK54_E,type,(sK54_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK55_E,type,(sK55_E: (nat>(nat>(nat>(nat>nat)))))).
52.35/52.67	 thf(tp_sK56_E,type,(sK56_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK57_E,type,(sK57_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK58_E,type,(sK58_E: (nat>(nat>(nat>(nat>nat)))))).
52.35/52.67	 thf(tp_sK59_E,type,(sK59_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK5_E,type,(sK5_E: (nat>(nat>(nat>nat))))).
52.35/52.67	 thf(tp_sK60_E,type,(sK60_E: (nat>(nat>(nat>(nat>(nat>(nat>nat)))))))).
52.35/52.67	 thf(tp_sK61_E,type,(sK61_E: (nat>(nat>(nat>nat))))).
52.35/52.67	 thf(tp_sK62_E,type,(sK62_E: (nat>(nat>(nat>nat))))).
52.35/52.67	 thf(tp_sK63_E,type,(sK63_E: nat)).
52.35/52.67	 thf(tp_sK64_E,type,(sK64_E: nat)).
52.35/52.67	 thf(tp_sK65_E,type,(sK65_E: nat)).
52.35/52.67	 thf(tp_sK66_E,type,(sK66_E: nat)).
52.35/52.67	 thf(tp_sK67_E,type,(sK67_E: nat)).
52.35/52.67	 thf(tp_sK68_E,type,(sK68_E: nat)).
52.35/52.67	 thf(tp_sK69_E,type,(sK69_E: nat)).
52.35/52.67	 thf(tp_sK6_E,type,(sK6_E: (nat>(nat>(nat>nat))))).
52.35/52.67	 thf(tp_sK70_E,type,(sK70_E: nat)).
52.35/52.67	 thf(tp_sK71_E,type,(sK71_E: nat)).
52.35/52.67	 thf(tp_sK72_E,type,(sK72_E: nat)).
52.35/52.67	 thf(tp_sK73_E,type,(sK73_E: nat)).
52.35/52.67	 thf(tp_sK74_E,type,(sK74_E: nat)).
52.35/52.67	 thf(tp_sK7_E,type,(sK7_E: (nat>(nat>(nat>nat))))).
52.35/52.67	 thf(tp_sK8_E,type,(sK8_E: nat)).
52.35/52.67	 thf(tp_sK9_E,type,(sK9_E: nat)).
52.35/52.67	 thf(tp_some,type,(some: ((nat>$o)>$o))).
52.35/52.67	 thf(tp_x,type,(x: nat)).
52.35/52.67	 thf(tp_y,type,(y: nat)).
52.35/52.67	 thf(tp_z,type,(z: nat)).
52.35/52.67	 thf(1,axiom,(![Xx:nat,Xy:nat,Xz:nat]: ((some@(^[Xv:nat]: (((diffprop@Xy)@Xx)@Xv))) => ((some@(^[Xv:nat]: (((diffprop@Xz)@Xx)@Xv))) <= ((lessis@Xy)@Xz)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz16b)).
52.35/52.67	 thf(2,axiom,(some@(^[Xu:nat]: (((diffprop@y)@z)@Xu))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n)).
52.35/52.67	 thf(3,axiom,((moreis@x)@y),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m)).
52.35/52.67	 thf(4,axiom,(![Xx:nat,Xy:nat]: (((lessis@Xy)@Xx) <= ((moreis@Xx)@Xy))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz13)).
52.35/52.67	 thf(5,conjecture,(some@(^[Xu:nat]: (((diffprop@x)@z)@Xu))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz16c)).
52.35/52.67	 thf(6,negated_conjecture,(((some@(^[Xu:nat]: (((diffprop@x)@z)@Xu)))=$false)),inference(negate_conjecture,[status(cth)],[5])).
52.35/52.67	 thf(7,plain,(((some@(^[Xu:nat]: (((diffprop@x)@z)@Xu)))=$false)),inference(unfold_def,[status(thm)],[6])).
52.35/52.67	 thf(8,plain,(((![Xx:nat,Xy:nat,Xz:nat]: ((some@(^[Xv:nat]: (((diffprop@Xy)@Xx)@Xv))) => ((some@(^[Xv:nat]: (((diffprop@Xz)@Xx)@Xv))) <= ((lessis@Xy)@Xz))))=$true)),inference(unfold_def,[status(thm)],[1])).
52.35/52.67	 thf(9,plain,(((some@(^[Xu:nat]: (((diffprop@y)@z)@Xu)))=$true)),inference(unfold_def,[status(thm)],[2])).
52.35/52.67	 thf(10,plain,((((moreis@x)@y)=$true)),inference(unfold_def,[status(thm)],[3])).
52.35/52.67	 thf(11,plain,(((![Xx:nat,Xy:nat]: (((lessis@Xy)@Xx) <= ((moreis@Xx)@Xy)))=$true)),inference(unfold_def,[status(thm)],[4])).
52.35/52.67	 thf(12,plain,(((~ (some@(^[Xu:nat]: (((diffprop@x)@z)@Xu))))=$true)),inference(polarity_switch,[status(thm)],[7])).
52.35/52.67	 thf(13,plain,(((![Xx:nat,Xy:nat]: ((~ (some@(^[Xv:nat]: (((diffprop@Xy)@Xx)@Xv)))) | (![Xz:nat]: ((~ ((lessis@Xy)@Xz)) | (some@(^[Xv:nat]: (((diffprop@Xz)@Xx)@Xv)))))))=$true)),inference(extcnf_combined,[status(esa)],[8])).
52.35/52.67	 thf(14,plain,(((![Xx:nat,Xy:nat]: ((~ ((moreis@Xx)@Xy)) | ((lessis@Xy)@Xx)))=$true)),inference(extcnf_combined,[status(esa)],[11])).
52.35/52.67	 thf(15,plain,(((![Xx:nat,Xy:nat]: ((~ ((moreis@Xx)@Xy)) | ((lessis@Xy)@Xx)))=$true)),inference(copy,[status(thm)],[14])).
52.35/52.67	 thf(16,plain,((((moreis@x)@y)=$true)),inference(copy,[status(thm)],[10])).
52.35/52.67	 thf(17,plain,(((some@(^[Xu:nat]: (((diffprop@y)@z)@Xu)))=$true)),inference(copy,[status(thm)],[9])).
52.35/52.67	 thf(18,plain,(((![Xx:nat,Xy:nat]: ((~ (some@(^[Xv:nat]: (((diffprop@Xy)@Xx)@Xv)))) | (![Xz:nat]: ((~ ((lessis@Xy)@Xz)) | (some@(^[Xv:nat]: (((diffprop@Xz)@Xx)@Xv)))))))=$true)),inference(copy,[status(thm)],[13])).
52.35/52.67	 thf(19,plain,(((~ (some@(^[Xu:nat]: (((diffprop@x)@z)@Xu))))=$true)),inference(copy,[status(thm)],[12])).
52.35/52.67	 thf(20,plain,(![SV1:nat]: (((![SY9:nat]: ((~ ((moreis@SV1)@SY9)) | ((lessis@SY9)@SV1)))=$true))),inference(extcnf_forall_pos,[status(thm)],[15])).
52.35/52.67	 thf(21,plain,(![SV2:nat]: (((![SY10:nat]: ((~ (some@(^[SY11:nat]: (((diffprop@SY10)@SV2)@SY11)))) | (![SY12:nat]: ((~ ((lessis@SY10)@SY12)) | (some@(^[SY13:nat]: (((diffprop@SY12)@SV2)@SY13)))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[18])).
52.35/52.67	 thf(22,plain,(((some@(^[Xu:nat]: (((diffprop@x)@z)@Xu)))=$false)),inference(extcnf_not_pos,[status(thm)],[19])).
52.35/52.67	 thf(23,plain,(![SV3:nat,SV1:nat]: ((((~ ((moreis@SV1)@SV3)) | ((lessis@SV3)@SV1))=$true))),inference(extcnf_forall_pos,[status(thm)],[20])).
52.35/52.67	 thf(24,plain,(![SV2:nat,SV4:nat]: ((((~ (some@(^[SY14:nat]: (((diffprop@SV4)@SV2)@SY14)))) | (![SY15:nat]: ((~ ((lessis@SV4)@SY15)) | (some@(^[SY13:nat]: (((diffprop@SY15)@SV2)@SY13))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[21])).
52.35/52.67	 thf(25,plain,(![SV3:nat,SV1:nat]: (((~ ((moreis@SV1)@SV3))=$true) | (((lessis@SV3)@SV1)=$true))),inference(extcnf_or_pos,[status(thm)],[23])).
52.35/52.67	 thf(26,plain,(![SV2:nat,SV4:nat]: (((~ (some@(^[SY14:nat]: (((diffprop@SV4)@SV2)@SY14))))=$true) | ((![SY15:nat]: ((~ ((lessis@SV4)@SY15)) | (some@(^[SY13:nat]: (((diffprop@SY15)@SV2)@SY13)))))=$true))),inference(extcnf_or_pos,[status(thm)],[24])).
52.35/52.67	 thf(27,plain,(![SV3:nat,SV1:nat]: ((((moreis@SV1)@SV3)=$false) | (((lessis@SV3)@SV1)=$true))),inference(extcnf_not_pos,[status(thm)],[25])).
52.35/52.67	 thf(28,plain,(![SV2:nat,SV4:nat]: (((some@(^[SY14:nat]: (((diffprop@SV4)@SV2)@SY14)))=$false) | ((![SY15:nat]: ((~ ((lessis@SV4)@SY15)) | (some@(^[SY13:nat]: (((diffprop@SY15)@SV2)@SY13)))))=$true))),inference(extcnf_not_pos,[status(thm)],[26])).
52.35/52.67	 thf(29,plain,(![SV2:nat,SV5:nat,SV4:nat]: ((((~ ((lessis@SV4)@SV5)) | (some@(^[SY17:nat]: (((diffprop@SV5)@SV2)@SY17))))=$true) | ((some@(^[SY14:nat]: (((diffprop@SV4)@SV2)@SY14)))=$false))),inference(extcnf_forall_pos,[status(thm)],[28])).
52.35/52.67	 thf(30,plain,(![SV2:nat,SV5:nat,SV4:nat]: (((~ ((lessis@SV4)@SV5))=$true) | ((some@(^[SY17:nat]: (((diffprop@SV5)@SV2)@SY17)))=$true) | ((some@(^[SY14:nat]: (((diffprop@SV4)@SV2)@SY14)))=$false))),inference(extcnf_or_pos,[status(thm)],[29])).
52.35/52.67	 thf(31,plain,(![SV2:nat,SV5:nat,SV4:nat]: ((((lessis@SV4)@SV5)=$false) | ((some@(^[SY17:nat]: (((diffprop@SV5)@SV2)@SY17)))=$true) | ((some@(^[SY14:nat]: (((diffprop@SV4)@SV2)@SY14)))=$false))),inference(extcnf_not_pos,[status(thm)],[30])).
52.35/52.67	 thf(32,plain,((((some@(^[Xu:nat]: (((diffprop@x)@z)@Xu))) = (some@(^[Xu:nat]: (((diffprop@y)@z)@Xu))))=$false)),inference(res,[status(thm)],[22,17])).
52.35/52.67	 thf(34,plain,(((x = y)=$false)),inference(extuni,[status(esa)],[32])).
52.35/52.67	 thf(35,plain,(((((diffprop@x)@z)@sK1_E)=$true) | ((((diffprop@y)@z)@sK1_E)=$true)),inference(extuni,[status(esa)],[32])).
52.35/52.67	 thf(36,plain,(((((diffprop@x)@z)@sK1_E)=$false) | ((((diffprop@y)@z)@sK1_E)=$false)),inference(extuni,[status(esa)],[32])).
52.35/52.67	 thf(37,plain,(![SV6:nat,SV7:nat]: ((((moreis@SV7)@SV6)=$false) | (((lessis@SV6)@SV7)=$true))),inference(rename,[status(thm)],[27])).
52.35/52.67	 thf(42,plain,(![SV6:nat,SV7:nat]: (((((moreis@SV7)@SV6) = ((moreis@x)@y))=$false) | (((lessis@SV6)@SV7)=$true))),inference(res,[status(thm)],[37,16])).
52.35/52.67	 thf(43,plain,((((lessis@y)@x)=$true)),inference(extuni,[status(esa)],[42:[bind(SV6,$thf(y)),bind(SV7,$thf(x))]])).
52.35/52.67	 thf(44,plain,(![SV8:nat,SV9:nat,SV10:nat]: ((((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | ((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false))),inference(rename,[status(thm)],[31])).
52.35/52.67	 thf(45,plain,(![SV8:nat,SV9:nat,SV10:nat,SV8:nat,SV9:nat,SV10:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0))))=$false) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true))),inference(res,[status(thm)],[44,44])).
52.35/52.67	 thf(50,plain,(![SV8:nat,SV9:nat,SV10:nat,SV6:nat,SV7:nat]: (((((lessis@SV10)@SV9) = ((lessis@SV6)@SV7))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | ((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((moreis@SV7)@SV6)=$false))),inference(res,[status(thm)],[44,37])).
52.35/52.67	 thf(52,plain,(![SV8:nat,SV9:nat,SV10:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0))) = (some@(^[Xu:nat]: (((diffprop@x)@z)@Xu))))=$false) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false))),inference(res,[status(thm)],[44,22])).
52.35/52.67	 thf(53,plain,(![SV8:nat,SV9:nat,SV10:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0))) = (some@(^[Xu:nat]: (((diffprop@y)@z)@Xu))))=$false) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true))),inference(res,[status(thm)],[44,17])).
52.35/52.67	 thf(57,plain,(![SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@z)@SX0)))=$true) | (((lessis@y)@SV9)=$false))),inference(extuni,[status(esa)],[53:[bind(SV8,$thf(z)),bind(SV10,$thf(y))]])).
52.35/52.67	 thf(58,plain,(![SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@SV10)@SV8)@(((sK4_E@SV9)@SV8)@SV10))=$true) | ((((diffprop@y)@z)@(((sK4_E@SV9)@SV8)@SV10))=$true))),inference(extuni,[status(esa)],[53])).
52.35/52.67	 thf(59,plain,(![SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@SV10)@SV8)@(((sK4_E@SV9)@SV8)@SV10))=$false) | ((((diffprop@y)@z)@(((sK4_E@SV9)@SV8)@SV10))=$false))),inference(extuni,[status(esa)],[53])).
52.35/52.67	 thf(60,plain,(![SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@z)@SX0)))=$false) | (((lessis@SV10)@x)=$false))),inference(extuni,[status(esa)],[52:[bind(SV8,$thf(z)),bind(SV9,$thf(x))]])).
52.35/52.67	 thf(61,plain,(![SV9:nat,SV8:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@SV9)@SV8)@(((sK5_E@SV10)@SV8)@SV9))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV10)@SV8)@SV9))=$true))),inference(extuni,[status(esa)],[52])).
52.35/52.67	 thf(62,plain,(![SV9:nat,SV8:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@SV9)@SV8)@(((sK5_E@SV10)@SV8)@SV9))=$false) | ((((diffprop@x)@z)@(((sK5_E@SV10)@SV8)@SV9))=$false))),inference(extuni,[status(esa)],[52])).
52.35/52.67	 thf(63,plain,(![SV8:nat,SV6:nat,SV7:nat]: ((((moreis@SV7)@SV6)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV6)@SV8)@SX0)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV7)@SV8)@SX0)))=$true))),inference(extuni,[status(esa)],[50:[bind(SV9,$thf(SV7)),bind(SV10,$thf(SV6))]])).
52.35/52.67	 thf(68,plain,(![SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@SV9)@SV8)@(((sK7_E@SV10)@SV8)@SV9))=$true) | ((((diffprop@SV10)@SV8)@(((sK7_E@SV10)@SV8)@SV9))=$true))),inference(extuni,[status(esa)],[45])).
52.35/52.67	 thf(73,plain,(![SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | ((((diffprop@SV9)@SV8)@(((sK7_E@SV10)@SV8)@SV9))=$true) | ((((diffprop@SV10)@SV8)@(((sK7_E@SV10)@SV8)@SV9))=$true))),inference(sim,[status(thm)],[68])).
52.35/52.67	 thf(88,plain,(((((diffprop@y)@z)@sK1_E)=$true) | (((((diffprop@x)@z)@sK1_E) = (((diffprop@y)@z)@sK1_E))=$false)),inference(fac_restr,[status(thm)],[35])).
52.35/52.67	 thf(89,plain,(((x = y)=$false) | ((((diffprop@y)@z)@sK1_E)=$true)),inference(extuni,[status(esa)],[88])).
52.35/52.67	 thf(95,plain,((((((diffprop@x)@z)@sK1_E) = (((diffprop@y)@z)@sK1_E))=$false) | ((((diffprop@y)@z)@sK1_E)=$false) | ((((diffprop@x)@z)@sK1_E)=$true)),inference(res,[status(thm)],[36,35])).
52.35/52.67	 thf(96,plain,((((((diffprop@y)@z)@sK1_E) = (((diffprop@x)@z)@sK1_E))=$false) | ((((diffprop@x)@z)@sK1_E)=$false) | ((((diffprop@y)@z)@sK1_E)=$true)),inference(res,[status(thm)],[36,35])).
52.35/52.67	 thf(102,plain,(((((diffprop@y)@z)@sK1_E)=$false) | (((((diffprop@x)@z)@sK1_E) = (((diffprop@y)@z)@sK1_E))=$false)),inference(fac_restr,[status(thm)],[36])).
52.35/52.67	 thf(104,plain,(((((diffprop@y)@z)@sK1_E)=$true) | ((((diffprop@x)@z)@sK1_E)=$false) | ((y = x)=$false)),inference(extuni,[status(esa)],[96])).
52.35/52.67	 thf(105,plain,(((((diffprop@x)@z)@sK1_E)=$true) | ((((diffprop@y)@z)@sK1_E)=$false) | ((x = y)=$false)),inference(extuni,[status(esa)],[95])).
52.35/52.67	 thf(107,plain,(((x = y)=$false) | ((((diffprop@y)@z)@sK1_E)=$false)),inference(extuni,[status(esa)],[102])).
52.35/52.67	 thf(109,plain,(![SV8:nat,SV9:nat,SV10:nat]: (((((lessis@y)@x) = ((lessis@SV10)@SV9))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | ((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false))),inference(res,[status(thm)],[43,44])).
52.35/52.67	 thf(115,plain,(![SV8:nat]: (((some@(^[SX0:nat]: (((diffprop@y)@SV8)@SX0)))=$false) | ((some@(^[SX0:nat]: (((diffprop@x)@SV8)@SX0)))=$true))),inference(extuni,[status(esa)],[109:[bind(SV9,$thf(x)),bind(SV10,$thf(y))]])).
52.35/52.67	 thf(116,plain,(![SV11:nat]: (((some@(^[SX0:nat]: (((diffprop@SV11)@z)@SX0)))=$true) | (((lessis@y)@SV11)=$false))),inference(rename,[status(thm)],[57])).
52.35/52.67	 thf(119,plain,(![SV11:nat,SV8:nat,SV9:nat,SV10:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV11)@z)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0))))=$false) | (((lessis@y)@SV11)=$false) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true))),inference(res,[status(thm)],[116,44])).
52.35/52.67	 thf(122,plain,(![SV11:nat]: (((((lessis@y)@SV11) = ((lessis@y)@x))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV11)@z)@SX0)))=$true))),inference(res,[status(thm)],[116,43])).
52.35/52.67	 thf(123,plain,(![SV11:nat,SV6:nat,SV7:nat]: (((((lessis@y)@SV11) = ((lessis@SV6)@SV7))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV11)@z)@SX0)))=$true) | (((moreis@SV7)@SV6)=$false))),inference(res,[status(thm)],[116,37])).
52.35/52.67	 thf(130,plain,(![SV11:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV11)@z)@SX0))) = (some@(^[Xu:nat]: (((diffprop@x)@z)@Xu))))=$false) | (((lessis@y)@SV11)=$false))),inference(res,[status(thm)],[116,22])).
52.35/52.67	 thf(133,plain,((((lessis@y)@x)=$false)),inference(extuni,[status(esa)],[130:[bind(SV11,$thf(x))]])).
52.35/52.67	 thf(134,plain,(![SV11:nat]: ((((lessis@y)@SV11)=$false) | ((((diffprop@SV11)@z)@(sK10_E@SV11))=$true) | ((((diffprop@x)@z)@(sK10_E@SV11))=$true))),inference(extuni,[status(esa)],[130])).
52.35/52.67	 thf(135,plain,(![SV11:nat]: ((((lessis@y)@SV11)=$false) | ((((diffprop@SV11)@z)@(sK10_E@SV11))=$false) | ((((diffprop@x)@z)@(sK10_E@SV11))=$false))),inference(extuni,[status(esa)],[130])).
52.35/52.67	 thf(136,plain,(![SV7:nat]: ((((moreis@SV7)@y)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV7)@z)@SX0)))=$true))),inference(extuni,[status(esa)],[123:[bind(SV11,$thf(SV7)),bind(SV6,$thf(y))]])).
52.35/52.67	 thf(137,plain,(((some@(^[SX0:nat]: (((diffprop@x)@z)@SX0)))=$true)),inference(extuni,[status(esa)],[122:[bind(SV11,$thf(x))]])).
52.35/52.67	 thf(138,plain,(![SV10:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@z)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | (((lessis@y)@SV10)=$false))),inference(extuni,[status(esa)],[119:[bind(SV8,$thf(z)),bind(SV11,$thf(SV10))]])).
52.35/52.67	 thf(139,plain,(![SV11:nat,SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | (((lessis@y)@SV11)=$false) | ((((diffprop@SV11)@z)@((((sK11_E@SV9)@SV8)@SV10)@SV11))=$true) | ((((diffprop@SV10)@SV8)@((((sK11_E@SV9)@SV8)@SV10)@SV11))=$true))),inference(extuni,[status(esa)],[119])).
52.35/52.67	 thf(140,plain,(![SV11:nat,SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | (((lessis@y)@SV11)=$false) | ((((diffprop@SV11)@z)@((((sK11_E@SV9)@SV8)@SV10)@SV11))=$false) | ((((diffprop@SV10)@SV8)@((((sK11_E@SV9)@SV8)@SV10)@SV11))=$false))),inference(extuni,[status(esa)],[119])).
52.35/52.67	 thf(141,plain,(![SV12:nat,SV13:nat,SV14:nat]: (((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(rename,[status(thm)],[58])).
52.35/52.67	 thf(154,plain,(![SV12:nat,SV13:nat,SV14:nat,SV8:nat,SV9:nat,SV10:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0))))=$false) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true))),inference(res,[status(thm)],[141,44])).
52.35/52.67	 thf(159,plain,(![SV12:nat,SV13:nat,SV14:nat]: (((((lessis@SV12)@SV14) = ((lessis@y)@x))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[141,43])).
52.35/52.67	 thf(160,plain,(![SV12:nat,SV13:nat,SV14:nat,SV6:nat,SV7:nat]: (((((lessis@SV12)@SV14) = ((lessis@SV6)@SV7))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((moreis@SV7)@SV6)=$false))),inference(res,[status(thm)],[141,37])).
52.35/52.67	 thf(164,plain,(![SV12:nat,SV13:nat,SV14:nat]: ((((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12)) = (((diffprop@y)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@x)@z)@sK1_E)=$false))),inference(res,[status(thm)],[141,36])).
52.35/52.67	 thf(165,plain,(![SV12:nat,SV13:nat,SV14:nat]: ((((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12)) = (((diffprop@y)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@x)@z)@sK1_E)=$false))),inference(res,[status(thm)],[141,36])).
52.35/52.67	 thf(167,plain,(![SV12:nat,SV13:nat,SV14:nat]: ((((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12)) = (((diffprop@x)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@y)@z)@sK1_E)=$false))),inference(res,[status(thm)],[141,36])).
52.35/52.67	 thf(168,plain,(![SV12:nat,SV13:nat,SV14:nat]: ((((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12)) = (((diffprop@x)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@y)@z)@sK1_E)=$false))),inference(res,[status(thm)],[141,36])).
52.35/52.67	 thf(177,plain,(![SV12:nat,SV13:nat,SV14:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0))) = (some@(^[Xu:nat]: (((diffprop@x)@z)@Xu))))=$false) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[141,22])).
52.35/52.67	 thf(180,plain,(![SV12:nat]: (((((diffprop@y)@z)@(((sK4_E@x)@z)@SV12))=$true) | ((((diffprop@SV12)@z)@(((sK4_E@x)@z)@SV12))=$true) | (((lessis@SV12)@x)=$false))),inference(extuni,[status(esa)],[177:[bind(SV13,$thf(z)),bind(SV14,$thf(x))]])).
52.35/52.67	 thf(181,plain,(![SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV14)@SV13)@(((sK15_E@SV12)@SV13)@SV14))=$true) | ((((diffprop@x)@z)@(((sK15_E@SV12)@SV13)@SV14))=$true))),inference(extuni,[status(esa)],[177])).
52.35/52.67	 thf(182,plain,(![SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV14)@SV13)@(((sK15_E@SV12)@SV13)@SV14))=$false) | ((((diffprop@x)@z)@(((sK15_E@SV12)@SV13)@SV14))=$false))),inference(extuni,[status(esa)],[177])).
52.35/52.67	 thf(183,plain,(![SV14:nat]: (((((diffprop@y)@z)@sK1_E)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV14)@z)@x))=$true) | (((lessis@x)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@z)@SX0)))=$true) | (((((sK4_E@SV14)@z)@x) = sK1_E)=$false))),inference(extuni,[status(esa)],[168:[bind(SV13,$thf(z)),bind(SV12,$thf(x))]])).
52.35/52.67	 thf(184,plain,(![SV14:nat,SV13:nat,SV12:nat]: (((((diffprop@y)@z)@sK1_E)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((((sK4_E@SV14)@SV13)@SV12) = sK1_E)=$false) | ((y = x)=$false))),inference(extuni,[status(esa)],[167])).
52.35/52.67	 thf(185,plain,(![SV14:nat]: (((((diffprop@x)@z)@sK1_E)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV14)@z)@y))=$true) | (((lessis@y)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@z)@SX0)))=$true) | (((((sK4_E@SV14)@z)@y) = sK1_E)=$false))),inference(extuni,[status(esa)],[165:[bind(SV13,$thf(z)),bind(SV12,$thf(y))]])).
52.35/52.67	 thf(186,plain,(![SV14:nat,SV13:nat,SV12:nat]: (((((diffprop@x)@z)@sK1_E)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((((sK4_E@SV14)@SV13)@SV12) = sK1_E)=$false))),inference(extuni,[status(esa)],[164])).
52.35/52.67	 thf(187,plain,(![SV13:nat,SV6:nat,SV7:nat]: ((((moreis@SV7)@SV6)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV7)@SV13)@SV6))=$true) | ((((diffprop@SV6)@SV13)@(((sK4_E@SV7)@SV13)@SV6))=$true) | ((some@(^[SX0:nat]: (((diffprop@SV7)@SV13)@SX0)))=$true))),inference(extuni,[status(esa)],[160:[bind(SV14,$thf(SV7)),bind(SV12,$thf(SV6))]])).
52.35/52.67	 thf(188,plain,(![SV13:nat]: (((((diffprop@y)@z)@(((sK4_E@x)@SV13)@y))=$true) | ((((diffprop@y)@SV13)@(((sK4_E@x)@SV13)@y))=$true) | ((some@(^[SX0:nat]: (((diffprop@x)@SV13)@SX0)))=$true))),inference(extuni,[status(esa)],[159:[bind(SV14,$thf(x)),bind(SV12,$thf(y))]])).
52.35/52.67	 thf(189,plain,(![SV12:nat,SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV10)@SV8)@SV12))=$true) | ((((diffprop@SV12)@SV8)@(((sK4_E@SV10)@SV8)@SV12))=$true) | (((lessis@SV12)@SV10)=$false))),inference(extuni,[status(esa)],[154:[bind(SV13,$thf(SV8)),bind(SV14,$thf(SV10))]])).
52.35/52.67	 thf(190,plain,(![SV12:nat,SV13:nat,SV14:nat,SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV14)@SV13)@((((((sK16_E@SV9)@SV12)@SV8)@SV10)@SV13)@SV14))=$true) | ((((diffprop@SV10)@SV8)@((((((sK16_E@SV9)@SV12)@SV8)@SV10)@SV13)@SV14))=$true))),inference(extuni,[status(esa)],[154])).
52.35/52.67	 thf(191,plain,(![SV12:nat,SV13:nat,SV14:nat,SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV14)@SV13)@((((((sK16_E@SV9)@SV12)@SV8)@SV10)@SV13)@SV14))=$false) | ((((diffprop@SV10)@SV8)@((((((sK16_E@SV9)@SV12)@SV8)@SV10)@SV13)@SV14))=$false))),inference(extuni,[status(esa)],[154])).
52.35/52.67	 thf(192,plain,(![SV15:nat,SV16:nat,SV17:nat]: (((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false))),inference(rename,[status(thm)],[59])).
52.35/52.67	 thf(199,plain,(![SV15:nat,SV16:nat,SV17:nat,SV12:nat,SV13:nat,SV14:nat]: ((((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15)) = (((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[192,141])).
52.35/52.67	 thf(200,plain,(![SV15:nat,SV16:nat,SV17:nat,SV12:nat,SV13:nat,SV14:nat]: ((((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15)) = (((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[192,141])).
52.35/52.67	 thf(202,plain,(![SV15:nat,SV16:nat,SV17:nat,SV12:nat,SV13:nat,SV14:nat]: ((((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15)) = (((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[192,141])).
52.35/52.67	 thf(203,plain,(![SV15:nat,SV16:nat,SV17:nat,SV12:nat,SV13:nat,SV14:nat]: ((((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15)) = (((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[192,141])).
52.35/52.67	 thf(213,plain,(![SV15:nat,SV16:nat,SV17:nat,SV8:nat,SV9:nat,SV10:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0))))=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true))),inference(res,[status(thm)],[192,44])).
52.35/52.67	 thf(220,plain,(![SV15:nat,SV16:nat,SV17:nat]: (((((lessis@SV15)@SV17) = ((lessis@y)@x))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false))),inference(res,[status(thm)],[192,43])).
52.35/52.67	 thf(223,plain,(![SV15:nat,SV16:nat,SV17:nat,SV6:nat,SV7:nat]: (((((lessis@SV15)@SV17) = ((lessis@SV6)@SV7))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((moreis@SV7)@SV6)=$false))),inference(res,[status(thm)],[192,37])).
52.35/52.67	 thf(227,plain,(![SV15:nat,SV16:nat,SV17:nat]: ((((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15)) = (((diffprop@y)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@x)@z)@sK1_E)=$true))),inference(res,[status(thm)],[192,35])).
52.35/52.67	 thf(228,plain,(![SV15:nat,SV16:nat,SV17:nat]: ((((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15)) = (((diffprop@y)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@x)@z)@sK1_E)=$true))),inference(res,[status(thm)],[192,35])).
52.35/52.67	 thf(230,plain,(![SV15:nat,SV16:nat,SV17:nat]: ((((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15)) = (((diffprop@x)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@y)@z)@sK1_E)=$true))),inference(res,[status(thm)],[192,35])).
52.35/52.67	 thf(231,plain,(![SV15:nat,SV16:nat,SV17:nat]: ((((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15)) = (((diffprop@x)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@y)@z)@sK1_E)=$true))),inference(res,[status(thm)],[192,35])).
52.35/52.67	 thf(234,plain,(![SV15:nat,SV16:nat,SV17:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0))) = (some@(^[Xu:nat]: (((diffprop@x)@z)@Xu))))=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false))),inference(res,[status(thm)],[192,22])).
52.35/52.67	 thf(241,plain,(![SV15:nat]: (((((diffprop@y)@z)@(((sK4_E@x)@z)@SV15))=$false) | ((((diffprop@SV15)@z)@(((sK4_E@x)@z)@SV15))=$false) | (((lessis@SV15)@x)=$false))),inference(extuni,[status(esa)],[234:[bind(SV16,$thf(z)),bind(SV17,$thf(x))]])).
52.35/52.67	 thf(242,plain,(![SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV17)@SV16)@(((sK22_E@SV15)@SV16)@SV17))=$true) | ((((diffprop@x)@z)@(((sK22_E@SV15)@SV16)@SV17))=$true))),inference(extuni,[status(esa)],[234])).
52.35/52.67	 thf(243,plain,(![SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV17)@SV16)@(((sK22_E@SV15)@SV16)@SV17))=$false) | ((((diffprop@x)@z)@(((sK22_E@SV15)@SV16)@SV17))=$false))),inference(extuni,[status(esa)],[234])).
52.35/52.67	 thf(244,plain,(![SV17:nat]: (((((diffprop@y)@z)@sK1_E)=$true) | ((((diffprop@y)@z)@(((sK4_E@SV17)@z)@x))=$false) | (((lessis@x)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@z)@SX0)))=$true) | (((((sK4_E@SV17)@z)@x) = sK1_E)=$false))),inference(extuni,[status(esa)],[231:[bind(SV16,$thf(z)),bind(SV15,$thf(x))]])).
52.35/52.67	 thf(245,plain,(![SV17:nat,SV16:nat,SV15:nat]: (((((diffprop@y)@z)@sK1_E)=$true) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((((sK4_E@SV17)@SV16)@SV15) = sK1_E)=$false) | ((y = x)=$false))),inference(extuni,[status(esa)],[230])).
52.35/52.67	 thf(246,plain,(![SV17:nat]: (((((diffprop@x)@z)@sK1_E)=$true) | ((((diffprop@y)@z)@(((sK4_E@SV17)@z)@y))=$false) | (((lessis@y)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@z)@SX0)))=$true) | (((((sK4_E@SV17)@z)@y) = sK1_E)=$false))),inference(extuni,[status(esa)],[228:[bind(SV16,$thf(z)),bind(SV15,$thf(y))]])).
52.35/52.67	 thf(247,plain,(![SV17:nat,SV16:nat,SV15:nat]: (((((diffprop@x)@z)@sK1_E)=$true) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((((sK4_E@SV17)@SV16)@SV15) = sK1_E)=$false))),inference(extuni,[status(esa)],[227])).
52.35/52.67	 thf(248,plain,(![SV16:nat,SV6:nat,SV7:nat]: ((((moreis@SV7)@SV6)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV7)@SV16)@SV6))=$false) | ((((diffprop@SV6)@SV16)@(((sK4_E@SV7)@SV16)@SV6))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV7)@SV16)@SX0)))=$true))),inference(extuni,[status(esa)],[223:[bind(SV17,$thf(SV7)),bind(SV15,$thf(SV6))]])).
52.35/52.67	 thf(249,plain,(![SV16:nat]: (((((diffprop@y)@z)@(((sK4_E@x)@SV16)@y))=$false) | ((((diffprop@y)@SV16)@(((sK4_E@x)@SV16)@y))=$false) | ((some@(^[SX0:nat]: (((diffprop@x)@SV16)@SX0)))=$true))),inference(extuni,[status(esa)],[220:[bind(SV17,$thf(x)),bind(SV15,$thf(y))]])).
52.35/52.67	 thf(250,plain,(![SV15:nat,SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV10)@SV8)@SV15))=$false) | ((((diffprop@SV15)@SV8)@(((sK4_E@SV10)@SV8)@SV15))=$false) | (((lessis@SV15)@SV10)=$false))),inference(extuni,[status(esa)],[213:[bind(SV16,$thf(SV8)),bind(SV17,$thf(SV10))]])).
52.35/52.67	 thf(251,plain,(![SV15:nat,SV16:nat,SV17:nat,SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV17)@SV16)@((((((sK23_E@SV9)@SV15)@SV8)@SV10)@SV16)@SV17))=$true) | ((((diffprop@SV10)@SV8)@((((((sK23_E@SV9)@SV15)@SV8)@SV10)@SV16)@SV17))=$true))),inference(extuni,[status(esa)],[213])).
52.35/52.67	 thf(252,plain,(![SV15:nat,SV16:nat,SV17:nat,SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV17)@SV16)@((((((sK23_E@SV9)@SV15)@SV8)@SV10)@SV16)@SV17))=$false) | ((((diffprop@SV10)@SV8)@((((((sK23_E@SV9)@SV15)@SV8)@SV10)@SV16)@SV17))=$false))),inference(extuni,[status(esa)],[213])).
52.35/52.67	 thf(254,plain,(![SV17:nat,SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV13)@SV12))=$false) | (((lessis@SV12)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV13)@SX0)))=$true) | (((((sK4_E@SV17)@SV13)@SV12) = (((sK4_E@SV14)@SV13)@SV12))=$false))),inference(extuni,[status(esa)],[203:[bind(SV16,$thf(SV13)),bind(SV15,$thf(SV12))]])).
52.35/52.67	 thf(256,plain,(![SV17:nat,SV16:nat,SV15:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@z)@y))=$true) | (((lessis@y)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@z)@SX0)))=$true) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((((sK4_E@SV17)@SV16)@SV15) = (((sK4_E@SV14)@z)@y))=$false))),inference(extuni,[status(esa)],[202:[bind(SV13,$thf(z)),bind(SV12,$thf(y))]])).
52.35/52.67	 thf(258,plain,(![SV17:nat,SV14:nat,SV13:nat,SV12:nat]: (((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | ((((diffprop@y)@z)@(((sK4_E@SV17)@z)@y))=$false) | (((lessis@y)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@z)@SX0)))=$true) | (((((sK4_E@SV17)@z)@y) = (((sK4_E@SV14)@SV13)@SV12))=$false))),inference(extuni,[status(esa)],[200:[bind(SV16,$thf(z)),bind(SV15,$thf(y))]])).
52.35/52.67	 thf(260,plain,(![SV17:nat,SV16:nat,SV15:nat,SV14:nat,SV13:nat,SV12:nat]: (((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((((sK4_E@SV17)@SV16)@SV15) = (((sK4_E@SV14)@SV13)@SV12))=$false))),inference(extuni,[status(esa)],[199])).
52.35/52.67	 thf(261,plain,(![SV18:nat]: (((some@(^[SX0:nat]: (((diffprop@SV18)@z)@SX0)))=$false) | (((lessis@SV18)@x)=$false))),inference(rename,[status(thm)],[60])).
52.35/52.67	 thf(263,plain,(![SV18:nat,SV15:nat,SV16:nat,SV17:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV18)@z)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0))))=$false) | (((lessis@SV18)@x)=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false))),inference(res,[status(thm)],[261,192])).
52.35/52.67	 thf(269,plain,(![SV18:nat,SV12:nat,SV13:nat,SV14:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV18)@z)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0))))=$false) | (((lessis@SV18)@x)=$false) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[261,141])).
52.35/52.67	 thf(271,plain,(![SV18:nat,SV11:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV18)@z)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV11)@z)@SX0))))=$false) | (((lessis@SV18)@x)=$false) | (((lessis@y)@SV11)=$false))),inference(res,[status(thm)],[261,116])).
52.35/52.67	 thf(273,plain,(![SV18:nat,SV8:nat,SV9:nat,SV10:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV18)@z)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0))))=$false) | (((lessis@SV18)@x)=$false) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false))),inference(res,[status(thm)],[261,44])).
52.35/52.67	 thf(274,plain,(![SV18:nat]: (((((lessis@SV18)@x) = ((lessis@y)@x))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV18)@z)@SX0)))=$false))),inference(res,[status(thm)],[261,43])).
52.35/52.67	 thf(276,plain,(![SV18:nat,SV6:nat,SV7:nat]: (((((lessis@SV18)@x) = ((lessis@SV6)@SV7))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV18)@z)@SX0)))=$false) | (((moreis@SV7)@SV6)=$false))),inference(res,[status(thm)],[261,37])).
52.35/52.67	 thf(283,plain,(![SV18:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV18)@z)@SX0))) = (some@(^[Xu:nat]: (((diffprop@y)@z)@Xu))))=$false) | (((lessis@SV18)@x)=$false))),inference(res,[status(thm)],[261,17])).
52.35/52.67	 thf(287,plain,((((lessis@y)@x)=$false)),inference(extuni,[status(esa)],[283:[bind(SV18,$thf(y))]])).
52.35/52.67	 thf(288,plain,(![SV18:nat]: ((((lessis@SV18)@x)=$false) | ((((diffprop@SV18)@z)@(sK26_E@SV18))=$true) | ((((diffprop@y)@z)@(sK26_E@SV18))=$true))),inference(extuni,[status(esa)],[283])).
52.35/52.67	 thf(289,plain,(![SV18:nat]: ((((lessis@SV18)@x)=$false) | ((((diffprop@SV18)@z)@(sK26_E@SV18))=$false) | ((((diffprop@y)@z)@(sK26_E@SV18))=$false))),inference(extuni,[status(esa)],[283])).
52.35/52.67	 thf(290,plain,(![SV6:nat]: ((((moreis@x)@SV6)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV6)@z)@SX0)))=$false))),inference(extuni,[status(esa)],[276:[bind(SV7,$thf(x)),bind(SV18,$thf(SV6))]])).
52.35/52.67	 thf(291,plain,(((some@(^[SX0:nat]: (((diffprop@y)@z)@SX0)))=$false)),inference(extuni,[status(esa)],[274:[bind(SV18,$thf(y))]])).
52.35/52.67	 thf(292,plain,(![SV9:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@z)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | (((lessis@SV9)@x)=$false))),inference(extuni,[status(esa)],[273:[bind(SV8,$thf(z)),bind(SV18,$thf(SV9))]])).
52.35/52.67	 thf(293,plain,(![SV18:nat,SV9:nat,SV8:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | (((lessis@SV18)@x)=$false) | ((((diffprop@SV18)@z)@((((sK27_E@SV10)@SV8)@SV9)@SV18))=$true) | ((((diffprop@SV9)@SV8)@((((sK27_E@SV10)@SV8)@SV9)@SV18))=$true))),inference(extuni,[status(esa)],[273])).
52.35/52.67	 thf(294,plain,(![SV18:nat,SV9:nat,SV8:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | (((lessis@SV18)@x)=$false) | ((((diffprop@SV18)@z)@((((sK27_E@SV10)@SV8)@SV9)@SV18))=$false) | ((((diffprop@SV9)@SV8)@((((sK27_E@SV10)@SV8)@SV9)@SV18))=$false))),inference(extuni,[status(esa)],[273])).
52.35/52.67	 thf(295,plain,(![SV11:nat]: ((((lessis@y)@SV11)=$false) | (((lessis@SV11)@x)=$false))),inference(extuni,[status(esa)],[271:[bind(SV18,$thf(SV11))]])).
52.35/52.67	 thf(296,plain,(![SV18:nat,SV11:nat]: ((((lessis@y)@SV11)=$false) | (((lessis@SV18)@x)=$false) | ((((diffprop@SV18)@z)@((sK28_E@SV11)@SV18))=$true) | ((((diffprop@SV11)@z)@((sK28_E@SV11)@SV18))=$true))),inference(extuni,[status(esa)],[271])).
52.35/52.67	 thf(297,plain,(![SV18:nat,SV11:nat]: ((((lessis@y)@SV11)=$false) | (((lessis@SV18)@x)=$false) | ((((diffprop@SV18)@z)@((sK28_E@SV11)@SV18))=$false) | ((((diffprop@SV11)@z)@((sK28_E@SV11)@SV18))=$false))),inference(extuni,[status(esa)],[271])).
52.35/52.67	 thf(298,plain,(![SV12:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@z)@SV12))=$true) | ((((diffprop@SV12)@z)@(((sK4_E@SV14)@z)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | (((lessis@SV14)@x)=$false))),inference(extuni,[status(esa)],[269:[bind(SV13,$thf(z)),bind(SV18,$thf(SV14))]])).
52.35/52.67	 thf(299,plain,(![SV18:nat,SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | (((lessis@SV18)@x)=$false) | ((((diffprop@SV18)@z)@((((sK29_E@SV12)@SV13)@SV14)@SV18))=$true) | ((((diffprop@SV14)@SV13)@((((sK29_E@SV12)@SV13)@SV14)@SV18))=$true))),inference(extuni,[status(esa)],[269])).
52.35/52.67	 thf(300,plain,(![SV18:nat,SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | (((lessis@SV18)@x)=$false) | ((((diffprop@SV18)@z)@((((sK29_E@SV12)@SV13)@SV14)@SV18))=$false) | ((((diffprop@SV14)@SV13)@((((sK29_E@SV12)@SV13)@SV14)@SV18))=$false))),inference(extuni,[status(esa)],[269])).
52.35/52.67	 thf(301,plain,(![SV15:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@z)@SV15))=$false) | ((((diffprop@SV15)@z)@(((sK4_E@SV17)@z)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | (((lessis@SV17)@x)=$false))),inference(extuni,[status(esa)],[263:[bind(SV16,$thf(z)),bind(SV18,$thf(SV17))]])).
52.35/52.67	 thf(302,plain,(![SV18:nat,SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | (((lessis@SV18)@x)=$false) | ((((diffprop@SV18)@z)@((((sK30_E@SV15)@SV16)@SV17)@SV18))=$true) | ((((diffprop@SV17)@SV16)@((((sK30_E@SV15)@SV16)@SV17)@SV18))=$true))),inference(extuni,[status(esa)],[263])).
52.35/52.67	 thf(303,plain,(![SV18:nat,SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | (((lessis@SV18)@x)=$false) | ((((diffprop@SV18)@z)@((((sK30_E@SV15)@SV16)@SV17)@SV18))=$false) | ((((diffprop@SV17)@SV16)@((((sK30_E@SV15)@SV16)@SV17)@SV18))=$false))),inference(extuni,[status(esa)],[263])).
52.35/52.67	 thf(304,plain,(![SV19:nat,SV20:nat,SV21:nat]: (((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true))),inference(rename,[status(thm)],[61])).
52.35/52.67	 thf(317,plain,(![SV19:nat,SV20:nat,SV21:nat,SV15:nat,SV16:nat,SV17:nat]: ((((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19)) = (((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false))),inference(res,[status(thm)],[304,192])).
52.35/52.67	 thf(318,plain,(![SV19:nat,SV20:nat,SV21:nat,SV15:nat,SV16:nat,SV17:nat]: ((((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19)) = (((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false))),inference(res,[status(thm)],[304,192])).
52.35/52.67	 thf(319,plain,(![SV19:nat,SV20:nat,SV21:nat,SV15:nat,SV16:nat,SV17:nat]: ((((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19)) = (((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false))),inference(res,[status(thm)],[304,192])).
52.35/52.67	 thf(320,plain,(![SV19:nat,SV20:nat,SV21:nat,SV15:nat,SV16:nat,SV17:nat]: ((((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19)) = (((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false))),inference(res,[status(thm)],[304,192])).
52.35/52.67	 thf(324,plain,(![SV19:nat,SV20:nat,SV21:nat,SV15:nat,SV16:nat,SV17:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0))))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false))),inference(res,[status(thm)],[304,192])).
52.35/52.67	 thf(332,plain,(![SV19:nat,SV20:nat,SV21:nat,SV12:nat,SV13:nat,SV14:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0))))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[304,141])).
52.35/52.67	 thf(336,plain,(![SV19:nat,SV20:nat,SV21:nat,SV11:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV11)@z)@SX0))))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@y)@SV11)=$false))),inference(res,[status(thm)],[304,116])).
52.35/52.67	 thf(340,plain,(![SV19:nat,SV20:nat,SV21:nat,SV8:nat,SV9:nat,SV10:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0))))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false))),inference(res,[status(thm)],[304,44])).
52.35/52.67	 thf(343,plain,(![SV19:nat,SV20:nat,SV21:nat]: (((((lessis@SV21)@SV19) = ((lessis@y)@x))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true))),inference(res,[status(thm)],[304,43])).
52.35/52.67	 thf(345,plain,(![SV19:nat,SV20:nat,SV21:nat,SV6:nat,SV7:nat]: (((((lessis@SV21)@SV19) = ((lessis@SV6)@SV7))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((moreis@SV7)@SV6)=$false))),inference(res,[status(thm)],[304,37])).
52.35/52.67	 thf(349,plain,(![SV19:nat,SV20:nat,SV21:nat]: ((((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19)) = (((diffprop@y)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@x)@z)@sK1_E)=$false))),inference(res,[status(thm)],[304,36])).
52.35/52.67	 thf(350,plain,(![SV19:nat,SV20:nat,SV21:nat]: ((((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19)) = (((diffprop@y)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@x)@z)@sK1_E)=$false))),inference(res,[status(thm)],[304,36])).
52.35/52.67	 thf(351,plain,(![SV19:nat,SV20:nat,SV21:nat]: ((((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19)) = (((diffprop@x)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@y)@z)@sK1_E)=$false))),inference(res,[status(thm)],[304,36])).
52.35/52.67	 thf(352,plain,(![SV19:nat,SV20:nat,SV21:nat]: ((((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19)) = (((diffprop@x)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@y)@z)@sK1_E)=$false))),inference(res,[status(thm)],[304,36])).
52.35/52.67	 thf(362,plain,(![SV19:nat,SV20:nat,SV21:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0))) = (some@(^[Xu:nat]: (((diffprop@y)@z)@Xu))))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true))),inference(res,[status(thm)],[304,17])).
52.35/52.67	 thf(365,plain,(![SV19:nat]: (((((diffprop@x)@z)@(((sK5_E@y)@z)@SV19))=$true) | ((((diffprop@SV19)@z)@(((sK5_E@y)@z)@SV19))=$true) | (((lessis@y)@SV19)=$false))),inference(extuni,[status(esa)],[362:[bind(SV20,$thf(z)),bind(SV21,$thf(y))]])).
52.35/52.67	 thf(366,plain,(![SV19:nat,SV20:nat,SV21:nat]: (((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV21)@SV20)@(((sK33_E@SV19)@SV20)@SV21))=$true) | ((((diffprop@y)@z)@(((sK33_E@SV19)@SV20)@SV21))=$true))),inference(extuni,[status(esa)],[362])).
52.35/52.67	 thf(367,plain,(![SV19:nat,SV20:nat,SV21:nat]: (((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV21)@SV20)@(((sK33_E@SV19)@SV20)@SV21))=$false) | ((((diffprop@y)@z)@(((sK33_E@SV19)@SV20)@SV21))=$false))),inference(extuni,[status(esa)],[362])).
52.35/52.67	 thf(368,plain,(![SV21:nat]: (((((diffprop@y)@z)@sK1_E)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@z)@x))=$true) | (((lessis@SV21)@x)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@z)@SX0)))=$false) | (((((sK5_E@SV21)@z)@x) = sK1_E)=$false))),inference(extuni,[status(esa)],[352:[bind(SV20,$thf(z)),bind(SV19,$thf(x))]])).
52.35/52.67	 thf(369,plain,(![SV21:nat,SV20:nat,SV19:nat]: (((((diffprop@y)@z)@sK1_E)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((((sK5_E@SV21)@SV20)@SV19) = sK1_E)=$false))),inference(extuni,[status(esa)],[351])).
52.35/52.67	 thf(370,plain,(![SV21:nat]: (((((diffprop@x)@z)@sK1_E)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@z)@y))=$true) | (((lessis@SV21)@y)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@z)@SX0)))=$false) | (((((sK5_E@SV21)@z)@y) = sK1_E)=$false))),inference(extuni,[status(esa)],[350:[bind(SV20,$thf(z)),bind(SV19,$thf(y))]])).
52.35/52.67	 thf(371,plain,(![SV21:nat,SV20:nat,SV19:nat]: (((((diffprop@x)@z)@sK1_E)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((((sK5_E@SV21)@SV20)@SV19) = sK1_E)=$false) | ((x = y)=$false))),inference(extuni,[status(esa)],[349])).
52.35/52.67	 thf(372,plain,(![SV20:nat,SV6:nat,SV7:nat]: ((((moreis@SV7)@SV6)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV6)@SV20)@SV7))=$true) | ((((diffprop@SV7)@SV20)@(((sK5_E@SV6)@SV20)@SV7))=$true) | ((some@(^[SX0:nat]: (((diffprop@SV6)@SV20)@SX0)))=$false))),inference(extuni,[status(esa)],[345:[bind(SV19,$thf(SV7)),bind(SV21,$thf(SV6))]])).
52.35/52.67	 thf(373,plain,(![SV20:nat]: (((((diffprop@x)@z)@(((sK5_E@y)@SV20)@x))=$true) | ((((diffprop@x)@SV20)@(((sK5_E@y)@SV20)@x))=$true) | ((some@(^[SX0:nat]: (((diffprop@y)@SV20)@SX0)))=$false))),inference(extuni,[status(esa)],[343:[bind(SV19,$thf(x)),bind(SV21,$thf(y))]])).
52.35/52.67	 thf(374,plain,(![SV19:nat,SV9:nat,SV8:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV9)@SV8)@SV19))=$true) | ((((diffprop@SV19)@SV8)@(((sK5_E@SV9)@SV8)@SV19))=$true) | (((lessis@SV9)@SV19)=$false))),inference(extuni,[status(esa)],[340:[bind(SV20,$thf(SV8)),bind(SV21,$thf(SV9))]])).
52.35/52.67	 thf(375,plain,(![SV19:nat,SV20:nat,SV21:nat,SV9:nat,SV8:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV21)@SV20)@((((((sK34_E@SV10)@SV19)@SV8)@SV9)@SV20)@SV21))=$true) | ((((diffprop@SV9)@SV8)@((((((sK34_E@SV10)@SV19)@SV8)@SV9)@SV20)@SV21))=$true))),inference(extuni,[status(esa)],[340])).
52.35/52.67	 thf(376,plain,(![SV19:nat,SV20:nat,SV21:nat,SV9:nat,SV8:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV21)@SV20)@((((((sK34_E@SV10)@SV19)@SV8)@SV9)@SV20)@SV21))=$false) | ((((diffprop@SV9)@SV8)@((((((sK34_E@SV10)@SV19)@SV8)@SV9)@SV20)@SV21))=$false))),inference(extuni,[status(esa)],[340])).
52.35/52.67	 thf(377,plain,(![SV19:nat,SV11:nat]: ((((lessis@y)@SV11)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV11)@z)@SV19))=$true) | ((((diffprop@SV19)@z)@(((sK5_E@SV11)@z)@SV19))=$true) | (((lessis@SV11)@SV19)=$false))),inference(extuni,[status(esa)],[336:[bind(SV20,$thf(z)),bind(SV21,$thf(SV11))]])).
52.35/52.67	 thf(378,plain,(![SV19:nat,SV20:nat,SV21:nat,SV11:nat]: ((((lessis@y)@SV11)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV21)@SV20)@((((sK35_E@SV19)@SV11)@SV20)@SV21))=$true) | ((((diffprop@SV11)@z)@((((sK35_E@SV19)@SV11)@SV20)@SV21))=$true))),inference(extuni,[status(esa)],[336])).
52.35/52.67	 thf(379,plain,(![SV19:nat,SV20:nat,SV21:nat,SV11:nat]: ((((lessis@y)@SV11)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV21)@SV20)@((((sK35_E@SV19)@SV11)@SV20)@SV21))=$false) | ((((diffprop@SV11)@z)@((((sK35_E@SV19)@SV11)@SV20)@SV21))=$false))),inference(extuni,[status(esa)],[336])).
52.35/52.67	 thf(380,plain,(![SV19:nat,SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV14)@SV13)@SV19))=$true) | ((((diffprop@SV19)@SV13)@(((sK5_E@SV14)@SV13)@SV19))=$true) | (((lessis@SV14)@SV19)=$false))),inference(extuni,[status(esa)],[332:[bind(SV20,$thf(SV13)),bind(SV21,$thf(SV14))]])).
52.35/52.67	 thf(381,plain,(![SV19:nat,SV20:nat,SV21:nat,SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV21)@SV20)@((((((sK36_E@SV12)@SV19)@SV13)@SV14)@SV20)@SV21))=$true) | ((((diffprop@SV14)@SV13)@((((((sK36_E@SV12)@SV19)@SV13)@SV14)@SV20)@SV21))=$true))),inference(extuni,[status(esa)],[332])).
52.35/52.67	 thf(382,plain,(![SV19:nat,SV20:nat,SV21:nat,SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV21)@SV20)@((((((sK36_E@SV12)@SV19)@SV13)@SV14)@SV20)@SV21))=$false) | ((((diffprop@SV14)@SV13)@((((((sK36_E@SV12)@SV19)@SV13)@SV14)@SV20)@SV21))=$false))),inference(extuni,[status(esa)],[332])).
52.35/52.67	 thf(383,plain,(![SV19:nat,SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV17)@SV16)@SV19))=$true) | ((((diffprop@SV19)@SV16)@(((sK5_E@SV17)@SV16)@SV19))=$true) | (((lessis@SV17)@SV19)=$false))),inference(extuni,[status(esa)],[324:[bind(SV20,$thf(SV16)),bind(SV21,$thf(SV17))]])).
52.35/52.67	 thf(384,plain,(![SV19:nat,SV20:nat,SV21:nat,SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV21)@SV20)@((((((sK37_E@SV15)@SV19)@SV16)@SV17)@SV20)@SV21))=$true) | ((((diffprop@SV17)@SV16)@((((((sK37_E@SV15)@SV19)@SV16)@SV17)@SV20)@SV21))=$true))),inference(extuni,[status(esa)],[324])).
52.35/52.67	 thf(385,plain,(![SV19:nat,SV20:nat,SV21:nat,SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV21)@SV20)@((((((sK37_E@SV15)@SV19)@SV16)@SV17)@SV20)@SV21))=$false) | ((((diffprop@SV17)@SV16)@((((((sK37_E@SV15)@SV19)@SV16)@SV17)@SV20)@SV21))=$false))),inference(extuni,[status(esa)],[324])).
52.35/52.67	 thf(386,plain,(![SV21:nat,SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV16)@SV15))=$true) | (((lessis@SV21)@SV15)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV16)@SX0)))=$false) | (((((sK5_E@SV21)@SV16)@SV15) = (((sK4_E@SV17)@SV16)@SV15))=$false))),inference(extuni,[status(esa)],[320:[bind(SV20,$thf(SV16)),bind(SV19,$thf(SV15))]])).
52.35/52.67	 thf(387,plain,(![SV21:nat,SV20:nat,SV19:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@z)@x))=$false) | (((lessis@x)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@z)@SX0)))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((((sK5_E@SV21)@SV20)@SV19) = (((sK4_E@SV17)@z)@x))=$false))),inference(extuni,[status(esa)],[319:[bind(SV16,$thf(z)),bind(SV15,$thf(x))]])).
52.35/52.67	 thf(388,plain,(![SV21:nat,SV17:nat,SV16:nat,SV15:nat]: (((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV21)@z)@y))=$true) | (((lessis@SV21)@y)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@z)@SX0)))=$false) | (((((sK5_E@SV21)@z)@y) = (((sK4_E@SV17)@SV16)@SV15))=$false))),inference(extuni,[status(esa)],[318:[bind(SV20,$thf(z)),bind(SV19,$thf(y))]])).
52.35/52.67	 thf(389,plain,(![SV21:nat,SV20:nat,SV19:nat,SV17:nat,SV16:nat,SV15:nat]: (((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0)))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((((sK5_E@SV21)@SV20)@SV19) = (((sK4_E@SV17)@SV16)@SV15))=$false) | ((x = y)=$false))),inference(extuni,[status(esa)],[317])).
52.35/52.67	 thf(390,plain,(![SV22:nat,SV23:nat,SV24:nat]: (((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false))),inference(rename,[status(thm)],[62])).
52.35/52.67	 thf(391,plain,(![SV22:nat,SV23:nat,SV24:nat,SV19:nat,SV20:nat,SV21:nat]: ((((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22)) = (((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true))),inference(res,[status(thm)],[390,304])).
52.35/52.67	 thf(392,plain,(![SV22:nat,SV23:nat,SV24:nat,SV19:nat,SV20:nat,SV21:nat]: ((((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22)) = (((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true))),inference(res,[status(thm)],[390,304])).
52.35/52.67	 thf(395,plain,(![SV22:nat,SV23:nat,SV24:nat,SV19:nat,SV20:nat,SV21:nat]: ((((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22)) = (((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true))),inference(res,[status(thm)],[390,304])).
52.35/52.67	 thf(396,plain,(![SV22:nat,SV23:nat,SV24:nat,SV19:nat,SV20:nat,SV21:nat]: ((((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22)) = (((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true))),inference(res,[status(thm)],[390,304])).
52.35/52.67	 thf(402,plain,(![SV22:nat,SV23:nat,SV24:nat,SV15:nat,SV16:nat,SV17:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0))))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false))),inference(res,[status(thm)],[390,192])).
52.35/52.67	 thf(403,plain,(![SV22:nat,SV23:nat,SV24:nat,SV12:nat,SV13:nat,SV14:nat]: ((((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22)) = (((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[390,141])).
52.35/52.67	 thf(404,plain,(![SV22:nat,SV23:nat,SV24:nat,SV12:nat,SV13:nat,SV14:nat]: ((((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22)) = (((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[390,141])).
52.35/52.67	 thf(407,plain,(![SV22:nat,SV23:nat,SV24:nat,SV12:nat,SV13:nat,SV14:nat]: ((((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22)) = (((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[390,141])).
52.35/52.67	 thf(408,plain,(![SV22:nat,SV23:nat,SV24:nat,SV12:nat,SV13:nat,SV14:nat]: ((((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22)) = (((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[390,141])).
52.35/52.67	 thf(414,plain,(![SV22:nat,SV23:nat,SV24:nat,SV12:nat,SV13:nat,SV14:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0))))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[390,141])).
52.35/52.67	 thf(418,plain,(![SV22:nat,SV23:nat,SV24:nat,SV11:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV11)@z)@SX0))))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@y)@SV11)=$false))),inference(res,[status(thm)],[390,116])).
52.35/52.67	 thf(422,plain,(![SV22:nat,SV23:nat,SV24:nat,SV8:nat,SV9:nat,SV10:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0))))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false))),inference(res,[status(thm)],[390,44])).
52.35/52.67	 thf(425,plain,(![SV22:nat,SV23:nat,SV24:nat]: (((((lessis@SV24)@SV22) = ((lessis@y)@x))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false))),inference(res,[status(thm)],[390,43])).
52.35/52.67	 thf(429,plain,(![SV22:nat,SV23:nat,SV24:nat,SV6:nat,SV7:nat]: (((((lessis@SV24)@SV22) = ((lessis@SV6)@SV7))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((moreis@SV7)@SV6)=$false))),inference(res,[status(thm)],[390,37])).
52.35/52.67	 thf(431,plain,(![SV22:nat,SV23:nat,SV24:nat]: ((((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22)) = (((diffprop@y)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@x)@z)@sK1_E)=$true))),inference(res,[status(thm)],[390,35])).
52.35/52.67	 thf(432,plain,(![SV22:nat,SV23:nat,SV24:nat]: ((((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22)) = (((diffprop@y)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@x)@z)@sK1_E)=$true))),inference(res,[status(thm)],[390,35])).
52.35/52.67	 thf(435,plain,(![SV22:nat,SV23:nat,SV24:nat]: ((((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22)) = (((diffprop@x)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@y)@z)@sK1_E)=$true))),inference(res,[status(thm)],[390,35])).
52.35/52.67	 thf(436,plain,(![SV22:nat,SV23:nat,SV24:nat]: ((((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22)) = (((diffprop@x)@z)@sK1_E))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@y)@z)@sK1_E)=$true))),inference(res,[status(thm)],[390,35])).
52.35/52.67	 thf(442,plain,(![SV22:nat,SV23:nat,SV24:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0))) = (some@(^[Xu:nat]: (((diffprop@y)@z)@Xu))))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false))),inference(res,[status(thm)],[390,17])).
52.35/52.67	 thf(447,plain,(![SV22:nat]: (((((diffprop@x)@z)@(((sK5_E@y)@z)@SV22))=$false) | ((((diffprop@SV22)@z)@(((sK5_E@y)@z)@SV22))=$false) | (((lessis@y)@SV22)=$false))),inference(extuni,[status(esa)],[442:[bind(SV23,$thf(z)),bind(SV24,$thf(y))]])).
52.35/52.67	 thf(448,plain,(![SV22:nat,SV23:nat,SV24:nat]: (((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV24)@SV23)@(((sK42_E@SV22)@SV23)@SV24))=$true) | ((((diffprop@y)@z)@(((sK42_E@SV22)@SV23)@SV24))=$true))),inference(extuni,[status(esa)],[442])).
52.35/52.67	 thf(449,plain,(![SV22:nat,SV23:nat,SV24:nat]: (((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV24)@SV23)@(((sK42_E@SV22)@SV23)@SV24))=$false) | ((((diffprop@y)@z)@(((sK42_E@SV22)@SV23)@SV24))=$false))),inference(extuni,[status(esa)],[442])).
52.35/52.67	 thf(450,plain,(![SV24:nat]: (((((diffprop@y)@z)@sK1_E)=$true) | ((((diffprop@x)@z)@(((sK5_E@SV24)@z)@x))=$false) | (((lessis@SV24)@x)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@z)@SX0)))=$false) | (((((sK5_E@SV24)@z)@x) = sK1_E)=$false))),inference(extuni,[status(esa)],[436:[bind(SV23,$thf(z)),bind(SV22,$thf(x))]])).
52.35/52.67	 thf(451,plain,(![SV24:nat,SV23:nat,SV22:nat]: (((((diffprop@y)@z)@sK1_E)=$true) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((((sK5_E@SV24)@SV23)@SV22) = sK1_E)=$false))),inference(extuni,[status(esa)],[435])).
52.35/52.67	 thf(452,plain,(![SV24:nat]: (((((diffprop@x)@z)@sK1_E)=$true) | ((((diffprop@x)@z)@(((sK5_E@SV24)@z)@y))=$false) | (((lessis@SV24)@y)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@z)@SX0)))=$false) | (((((sK5_E@SV24)@z)@y) = sK1_E)=$false))),inference(extuni,[status(esa)],[432:[bind(SV23,$thf(z)),bind(SV22,$thf(y))]])).
52.35/52.67	 thf(453,plain,(![SV24:nat,SV23:nat,SV22:nat]: (((((diffprop@x)@z)@sK1_E)=$true) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((((sK5_E@SV24)@SV23)@SV22) = sK1_E)=$false) | ((x = y)=$false))),inference(extuni,[status(esa)],[431])).
52.35/52.67	 thf(454,plain,(![SV23:nat,SV6:nat,SV7:nat]: ((((moreis@SV7)@SV6)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV6)@SV23)@SV7))=$false) | ((((diffprop@SV7)@SV23)@(((sK5_E@SV6)@SV23)@SV7))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV6)@SV23)@SX0)))=$false))),inference(extuni,[status(esa)],[429:[bind(SV22,$thf(SV7)),bind(SV24,$thf(SV6))]])).
52.35/52.67	 thf(455,plain,(![SV23:nat]: (((((diffprop@x)@z)@(((sK5_E@y)@SV23)@x))=$false) | ((((diffprop@x)@SV23)@(((sK5_E@y)@SV23)@x))=$false) | ((some@(^[SX0:nat]: (((diffprop@y)@SV23)@SX0)))=$false))),inference(extuni,[status(esa)],[425:[bind(SV22,$thf(x)),bind(SV24,$thf(y))]])).
52.35/52.67	 thf(456,plain,(![SV22:nat,SV9:nat,SV8:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV9)@SV8)@SV22))=$false) | ((((diffprop@SV22)@SV8)@(((sK5_E@SV9)@SV8)@SV22))=$false) | (((lessis@SV9)@SV22)=$false))),inference(extuni,[status(esa)],[422:[bind(SV23,$thf(SV8)),bind(SV24,$thf(SV9))]])).
52.35/52.67	 thf(457,plain,(![SV22:nat,SV23:nat,SV24:nat,SV9:nat,SV8:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV24)@SV23)@((((((sK43_E@SV10)@SV22)@SV8)@SV9)@SV23)@SV24))=$true) | ((((diffprop@SV9)@SV8)@((((((sK43_E@SV10)@SV22)@SV8)@SV9)@SV23)@SV24))=$true))),inference(extuni,[status(esa)],[422])).
52.35/52.67	 thf(458,plain,(![SV22:nat,SV23:nat,SV24:nat,SV9:nat,SV8:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV24)@SV23)@((((((sK43_E@SV10)@SV22)@SV8)@SV9)@SV23)@SV24))=$false) | ((((diffprop@SV9)@SV8)@((((((sK43_E@SV10)@SV22)@SV8)@SV9)@SV23)@SV24))=$false))),inference(extuni,[status(esa)],[422])).
52.35/52.67	 thf(459,plain,(![SV22:nat,SV11:nat]: ((((lessis@y)@SV11)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV11)@z)@SV22))=$false) | ((((diffprop@SV22)@z)@(((sK5_E@SV11)@z)@SV22))=$false) | (((lessis@SV11)@SV22)=$false))),inference(extuni,[status(esa)],[418:[bind(SV23,$thf(z)),bind(SV24,$thf(SV11))]])).
52.35/52.67	 thf(460,plain,(![SV22:nat,SV23:nat,SV24:nat,SV11:nat]: ((((lessis@y)@SV11)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV24)@SV23)@((((sK44_E@SV22)@SV11)@SV23)@SV24))=$true) | ((((diffprop@SV11)@z)@((((sK44_E@SV22)@SV11)@SV23)@SV24))=$true))),inference(extuni,[status(esa)],[418])).
52.35/52.67	 thf(461,plain,(![SV22:nat,SV23:nat,SV24:nat,SV11:nat]: ((((lessis@y)@SV11)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV24)@SV23)@((((sK44_E@SV22)@SV11)@SV23)@SV24))=$false) | ((((diffprop@SV11)@z)@((((sK44_E@SV22)@SV11)@SV23)@SV24))=$false))),inference(extuni,[status(esa)],[418])).
52.35/52.67	 thf(462,plain,(![SV22:nat,SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV14)@SV13)@SV22))=$false) | ((((diffprop@SV22)@SV13)@(((sK5_E@SV14)@SV13)@SV22))=$false) | (((lessis@SV14)@SV22)=$false))),inference(extuni,[status(esa)],[414:[bind(SV23,$thf(SV13)),bind(SV24,$thf(SV14))]])).
52.35/52.67	 thf(463,plain,(![SV22:nat,SV23:nat,SV24:nat,SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV24)@SV23)@((((((sK45_E@SV12)@SV22)@SV13)@SV14)@SV23)@SV24))=$true) | ((((diffprop@SV14)@SV13)@((((((sK45_E@SV12)@SV22)@SV13)@SV14)@SV23)@SV24))=$true))),inference(extuni,[status(esa)],[414])).
52.35/52.67	 thf(464,plain,(![SV22:nat,SV23:nat,SV24:nat,SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV24)@SV23)@((((((sK45_E@SV12)@SV22)@SV13)@SV14)@SV23)@SV24))=$false) | ((((diffprop@SV14)@SV13)@((((((sK45_E@SV12)@SV22)@SV13)@SV14)@SV23)@SV24))=$false))),inference(extuni,[status(esa)],[414])).
52.35/52.67	 thf(465,plain,(![SV24:nat,SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV13)@SV12))=$false) | (((lessis@SV24)@SV12)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV13)@SX0)))=$false) | (((((sK5_E@SV24)@SV13)@SV12) = (((sK4_E@SV14)@SV13)@SV12))=$false))),inference(extuni,[status(esa)],[408:[bind(SV23,$thf(SV13)),bind(SV22,$thf(SV12))]])).
52.35/52.67	 thf(466,plain,(![SV24:nat,SV23:nat,SV22:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@z)@x))=$true) | (((lessis@x)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@z)@SX0)))=$true) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((((sK5_E@SV24)@SV23)@SV22) = (((sK4_E@SV14)@z)@x))=$false))),inference(extuni,[status(esa)],[407:[bind(SV13,$thf(z)),bind(SV12,$thf(x))]])).
52.35/52.67	 thf(467,plain,(![SV24:nat,SV14:nat,SV13:nat,SV12:nat]: (((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV24)@z)@y))=$false) | (((lessis@SV24)@y)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@z)@SX0)))=$false) | (((((sK5_E@SV24)@z)@y) = (((sK4_E@SV14)@SV13)@SV12))=$false))),inference(extuni,[status(esa)],[404:[bind(SV23,$thf(z)),bind(SV22,$thf(y))]])).
52.35/52.67	 thf(468,plain,(![SV24:nat,SV23:nat,SV22:nat,SV14:nat,SV13:nat,SV12:nat]: (((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0)))=$true) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((((sK5_E@SV24)@SV23)@SV22) = (((sK4_E@SV14)@SV13)@SV12))=$false) | ((x = y)=$false))),inference(extuni,[status(esa)],[403])).
52.35/52.67	 thf(469,plain,(![SV22:nat,SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV17)@SV16)@SV22))=$false) | ((((diffprop@SV22)@SV16)@(((sK5_E@SV17)@SV16)@SV22))=$false) | (((lessis@SV17)@SV22)=$false))),inference(extuni,[status(esa)],[402:[bind(SV23,$thf(SV16)),bind(SV24,$thf(SV17))]])).
52.35/52.67	 thf(470,plain,(![SV22:nat,SV23:nat,SV24:nat,SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV24)@SV23)@((((((sK46_E@SV15)@SV22)@SV16)@SV17)@SV23)@SV24))=$true) | ((((diffprop@SV17)@SV16)@((((((sK46_E@SV15)@SV22)@SV16)@SV17)@SV23)@SV24))=$true))),inference(extuni,[status(esa)],[402])).
52.35/52.67	 thf(471,plain,(![SV22:nat,SV23:nat,SV24:nat,SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV24)@SV23)@((((((sK46_E@SV15)@SV22)@SV16)@SV17)@SV23)@SV24))=$false) | ((((diffprop@SV17)@SV16)@((((((sK46_E@SV15)@SV22)@SV16)@SV17)@SV23)@SV24))=$false))),inference(extuni,[status(esa)],[402])).
52.35/52.67	 thf(473,plain,(![SV24:nat,SV19:nat,SV20:nat,SV21:nat]: (((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV20)@SV19))=$false) | (((lessis@SV24)@SV19)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV20)@SX0)))=$false) | (((((sK5_E@SV24)@SV20)@SV19) = (((sK5_E@SV21)@SV20)@SV19))=$false))),inference(extuni,[status(esa)],[396:[bind(SV23,$thf(SV20)),bind(SV22,$thf(SV19))]])).
52.35/52.67	 thf(475,plain,(![SV24:nat,SV23:nat,SV22:nat,SV21:nat]: (((((diffprop@x)@z)@(((sK5_E@SV21)@z)@x))=$true) | (((lessis@SV21)@x)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@z)@SX0)))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((((sK5_E@SV24)@SV23)@SV22) = (((sK5_E@SV21)@z)@x))=$false))),inference(extuni,[status(esa)],[395:[bind(SV20,$thf(z)),bind(SV19,$thf(x))]])).
52.35/52.67	 thf(477,plain,(![SV24:nat,SV21:nat,SV20:nat,SV19:nat]: (((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@z)@x))=$false) | (((lessis@SV24)@x)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@z)@SX0)))=$false) | (((((sK5_E@SV24)@z)@x) = (((sK5_E@SV21)@SV20)@SV19))=$false))),inference(extuni,[status(esa)],[392:[bind(SV23,$thf(z)),bind(SV22,$thf(x))]])).
52.35/52.67	 thf(479,plain,(![SV24:nat,SV23:nat,SV22:nat,SV21:nat,SV20:nat,SV19:nat]: (((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0)))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0)))=$false) | (((((sK5_E@SV24)@SV23)@SV22) = (((sK5_E@SV21)@SV20)@SV19))=$false))),inference(extuni,[status(esa)],[391])).
52.35/52.67	 thf(480,plain,(![SV25:nat,SV26:nat,SV27:nat]: ((((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true))),inference(rename,[status(thm)],[63])).
52.35/52.67	 thf(481,plain,(![SV25:nat,SV26:nat,SV27:nat,SV25:nat,SV26:nat,SV27:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0))))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false))),inference(res,[status(thm)],[480,480])).
52.35/52.67	 thf(483,plain,(![SV25:nat,SV26:nat,SV27:nat,SV25:nat,SV26:nat,SV27:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0))))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true))),inference(res,[status(thm)],[480,480])).
52.35/52.67	 thf(488,plain,(![SV25:nat,SV26:nat,SV27:nat,SV22:nat,SV23:nat,SV24:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV24)@SV23)@SX0))))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((lessis@SV24)@SV22)=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false))),inference(res,[status(thm)],[480,390])).
52.35/52.67	 thf(494,plain,(![SV25:nat,SV26:nat,SV27:nat,SV19:nat,SV20:nat,SV21:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV21)@SV20)@SX0))))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((lessis@SV21)@SV19)=$false) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true))),inference(res,[status(thm)],[480,304])).
52.35/52.67	 thf(496,plain,(![SV25:nat,SV26:nat,SV27:nat,SV18:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV18)@z)@SX0))))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((lessis@SV18)@x)=$false))),inference(res,[status(thm)],[480,261])).
52.35/52.67	 thf(500,plain,(![SV25:nat,SV26:nat,SV27:nat,SV15:nat,SV16:nat,SV17:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV17)@SV16)@SX0))))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((lessis@SV15)@SV17)=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false))),inference(res,[status(thm)],[480,192])).
52.35/52.67	 thf(507,plain,(![SV25:nat,SV26:nat,SV27:nat,SV12:nat,SV13:nat,SV14:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV14)@SV13)@SX0))))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((lessis@SV12)@SV14)=$false) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true))),inference(res,[status(thm)],[480,141])).
52.35/52.67	 thf(510,plain,(![SV25:nat,SV26:nat,SV27:nat,SV11:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV11)@z)@SX0))))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((lessis@y)@SV11)=$false))),inference(res,[status(thm)],[480,116])).
52.35/52.67	 thf(512,plain,(![SV25:nat,SV26:nat,SV27:nat,SV8:nat,SV9:nat,SV10:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0))))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true))),inference(res,[status(thm)],[480,44])).
52.35/52.67	 thf(513,plain,(![SV25:nat,SV26:nat,SV27:nat,SV8:nat,SV9:nat,SV10:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0))) = (some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0))))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false))),inference(res,[status(thm)],[480,44])).
52.35/52.67	 thf(528,plain,(![SV25:nat,SV26:nat,SV27:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0))) = (some@(^[Xu:nat]: (((diffprop@x)@z)@Xu))))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false))),inference(res,[status(thm)],[480,22])).
52.35/52.67	 thf(529,plain,(![SV25:nat,SV26:nat,SV27:nat]: ((((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0))) = (some@(^[Xu:nat]: (((diffprop@y)@z)@Xu))))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true))),inference(res,[status(thm)],[480,17])).
52.35/52.67	 thf(532,plain,(![SV25:nat,SV26:nat,SV27:nat]: (((((moreis@SV27)@SV26) = ((moreis@x)@y))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true))),inference(res,[status(thm)],[480,16])).
52.35/52.67	 thf(533,plain,(![SV25:nat]: (((some@(^[SX0:nat]: (((diffprop@x)@SV25)@SX0)))=$true) | ((some@(^[SX0:nat]: (((diffprop@y)@SV25)@SX0)))=$false))),inference(extuni,[status(esa)],[532:[bind(SV26,$thf(y)),bind(SV27,$thf(x))]])).
52.35/52.67	 thf(534,plain,(![SV27:nat]: (((some@(^[SX0:nat]: (((diffprop@SV27)@z)@SX0)))=$true) | (((moreis@SV27)@y)=$false))),inference(extuni,[status(esa)],[529:[bind(SV25,$thf(z)),bind(SV26,$thf(y))]])).
52.35/52.67	 thf(535,plain,(![SV26:nat,SV25:nat,SV27:nat]: (((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV26)@SV25)@(((sK51_E@SV27)@SV25)@SV26))=$true) | ((((diffprop@y)@z)@(((sK51_E@SV27)@SV25)@SV26))=$true))),inference(extuni,[status(esa)],[529])).
52.35/52.67	 thf(536,plain,(![SV26:nat,SV25:nat,SV27:nat]: (((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV26)@SV25)@(((sK51_E@SV27)@SV25)@SV26))=$false) | ((((diffprop@y)@z)@(((sK51_E@SV27)@SV25)@SV26))=$false))),inference(extuni,[status(esa)],[529])).
52.35/52.67	 thf(537,plain,(![SV26:nat]: (((some@(^[SX0:nat]: (((diffprop@SV26)@z)@SX0)))=$false) | (((moreis@x)@SV26)=$false))),inference(extuni,[status(esa)],[528:[bind(SV25,$thf(z)),bind(SV27,$thf(x))]])).
52.35/52.67	 thf(538,plain,(![SV27:nat,SV25:nat,SV26:nat]: (((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV27)@SV25)@(((sK52_E@SV26)@SV25)@SV27))=$true) | ((((diffprop@x)@z)@(((sK52_E@SV26)@SV25)@SV27))=$true))),inference(extuni,[status(esa)],[528])).
52.35/52.67	 thf(539,plain,(![SV27:nat,SV25:nat,SV26:nat]: (((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV27)@SV25)@(((sK52_E@SV26)@SV25)@SV27))=$false) | ((((diffprop@x)@z)@(((sK52_E@SV26)@SV25)@SV27))=$false))),inference(extuni,[status(esa)],[528])).
52.35/52.67	 thf(540,plain,(![SV27:nat,SV9:nat,SV8:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV8)@SX0)))=$true) | (((moreis@SV27)@SV9)=$false))),inference(extuni,[status(esa)],[513:[bind(SV25,$thf(SV8)),bind(SV26,$thf(SV9))]])).
52.35/52.67	 thf(541,plain,(![SV26:nat,SV25:nat,SV27:nat,SV9:nat,SV8:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV26)@SV25)@((((((sK53_E@SV10)@SV27)@SV8)@SV9)@SV25)@SV26))=$true) | ((((diffprop@SV9)@SV8)@((((((sK53_E@SV10)@SV27)@SV8)@SV9)@SV25)@SV26))=$true))),inference(extuni,[status(esa)],[513])).
52.35/52.67	 thf(542,plain,(![SV26:nat,SV25:nat,SV27:nat,SV9:nat,SV8:nat,SV10:nat]: (((some@(^[SX0:nat]: (((diffprop@SV10)@SV8)@SX0)))=$false) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV26)@SV25)@((((((sK53_E@SV10)@SV27)@SV8)@SV9)@SV25)@SV26))=$false) | ((((diffprop@SV9)@SV8)@((((((sK53_E@SV10)@SV27)@SV8)@SV9)@SV25)@SV26))=$false))),inference(extuni,[status(esa)],[513])).
52.35/52.67	 thf(543,plain,(![SV26:nat,SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV8)@SX0)))=$false) | (((moreis@SV10)@SV26)=$false))),inference(extuni,[status(esa)],[512:[bind(SV25,$thf(SV8)),bind(SV27,$thf(SV10))]])).
52.35/52.67	 thf(544,plain,(![SV27:nat,SV25:nat,SV26:nat,SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV27)@SV25)@((((((sK54_E@SV9)@SV26)@SV8)@SV10)@SV25)@SV27))=$true) | ((((diffprop@SV10)@SV8)@((((((sK54_E@SV9)@SV26)@SV8)@SV10)@SV25)@SV27))=$true))),inference(extuni,[status(esa)],[512])).
52.35/52.67	 thf(545,plain,(![SV27:nat,SV25:nat,SV26:nat,SV10:nat,SV8:nat,SV9:nat]: (((some@(^[SX0:nat]: (((diffprop@SV9)@SV8)@SX0)))=$true) | (((lessis@SV10)@SV9)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV27)@SV25)@((((((sK54_E@SV9)@SV26)@SV8)@SV10)@SV25)@SV27))=$false) | ((((diffprop@SV10)@SV8)@((((((sK54_E@SV9)@SV26)@SV8)@SV10)@SV25)@SV27))=$false))),inference(extuni,[status(esa)],[512])).
52.35/52.67	 thf(546,plain,(![SV27:nat,SV11:nat]: ((((lessis@y)@SV11)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@z)@SX0)))=$true) | (((moreis@SV27)@SV11)=$false))),inference(extuni,[status(esa)],[510:[bind(SV25,$thf(z)),bind(SV26,$thf(SV11))]])).
52.35/52.67	 thf(547,plain,(![SV26:nat,SV25:nat,SV27:nat,SV11:nat]: ((((lessis@y)@SV11)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV26)@SV25)@((((sK55_E@SV27)@SV11)@SV25)@SV26))=$true) | ((((diffprop@SV11)@z)@((((sK55_E@SV27)@SV11)@SV25)@SV26))=$true))),inference(extuni,[status(esa)],[510])).
52.35/52.67	 thf(548,plain,(![SV26:nat,SV25:nat,SV27:nat,SV11:nat]: ((((lessis@y)@SV11)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV26)@SV25)@((((sK55_E@SV27)@SV11)@SV25)@SV26))=$false) | ((((diffprop@SV11)@z)@((((sK55_E@SV27)@SV11)@SV25)@SV26))=$false))),inference(extuni,[status(esa)],[510])).
52.35/52.67	 thf(549,plain,(![SV27:nat,SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV13)@SX0)))=$true) | (((moreis@SV27)@SV14)=$false))),inference(extuni,[status(esa)],[507:[bind(SV25,$thf(SV13)),bind(SV26,$thf(SV14))]])).
52.35/52.67	 thf(550,plain,(![SV26:nat,SV25:nat,SV27:nat,SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV26)@SV25)@((((((sK56_E@SV12)@SV27)@SV13)@SV14)@SV25)@SV26))=$true) | ((((diffprop@SV14)@SV13)@((((((sK56_E@SV12)@SV27)@SV13)@SV14)@SV25)@SV26))=$true))),inference(extuni,[status(esa)],[507])).
52.35/52.67	 thf(551,plain,(![SV26:nat,SV25:nat,SV27:nat,SV12:nat,SV13:nat,SV14:nat]: (((((diffprop@y)@z)@(((sK4_E@SV14)@SV13)@SV12))=$true) | ((((diffprop@SV12)@SV13)@(((sK4_E@SV14)@SV13)@SV12))=$true) | (((lessis@SV12)@SV14)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV26)@SV25)@((((((sK56_E@SV12)@SV27)@SV13)@SV14)@SV25)@SV26))=$false) | ((((diffprop@SV14)@SV13)@((((((sK56_E@SV12)@SV27)@SV13)@SV14)@SV25)@SV26))=$false))),inference(extuni,[status(esa)],[507])).
52.35/52.67	 thf(552,plain,(![SV27:nat,SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV16)@SX0)))=$true) | (((moreis@SV27)@SV17)=$false))),inference(extuni,[status(esa)],[500:[bind(SV25,$thf(SV16)),bind(SV26,$thf(SV17))]])).
52.35/52.67	 thf(553,plain,(![SV26:nat,SV25:nat,SV27:nat,SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV26)@SV25)@((((((sK57_E@SV15)@SV27)@SV16)@SV17)@SV25)@SV26))=$true) | ((((diffprop@SV17)@SV16)@((((((sK57_E@SV15)@SV27)@SV16)@SV17)@SV25)@SV26))=$true))),inference(extuni,[status(esa)],[500])).
52.35/52.67	 thf(554,plain,(![SV26:nat,SV25:nat,SV27:nat,SV15:nat,SV16:nat,SV17:nat]: (((((diffprop@y)@z)@(((sK4_E@SV17)@SV16)@SV15))=$false) | ((((diffprop@SV15)@SV16)@(((sK4_E@SV17)@SV16)@SV15))=$false) | (((lessis@SV15)@SV17)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV26)@SV25)@((((((sK57_E@SV15)@SV27)@SV16)@SV17)@SV25)@SV26))=$false) | ((((diffprop@SV17)@SV16)@((((((sK57_E@SV15)@SV27)@SV16)@SV17)@SV25)@SV26))=$false))),inference(extuni,[status(esa)],[500])).
52.35/52.67	 thf(555,plain,(![SV26:nat,SV18:nat]: ((((lessis@SV18)@x)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@z)@SX0)))=$false) | (((moreis@SV18)@SV26)=$false))),inference(extuni,[status(esa)],[496:[bind(SV25,$thf(z)),bind(SV27,$thf(SV18))]])).
52.35/52.67	 thf(556,plain,(![SV27:nat,SV25:nat,SV26:nat,SV18:nat]: ((((lessis@SV18)@x)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV27)@SV25)@((((sK58_E@SV26)@SV18)@SV25)@SV27))=$true) | ((((diffprop@SV18)@z)@((((sK58_E@SV26)@SV18)@SV25)@SV27))=$true))),inference(extuni,[status(esa)],[496])).
52.35/52.67	 thf(557,plain,(![SV27:nat,SV25:nat,SV26:nat,SV18:nat]: ((((lessis@SV18)@x)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV27)@SV25)@((((sK58_E@SV26)@SV18)@SV25)@SV27))=$false) | ((((diffprop@SV18)@z)@((((sK58_E@SV26)@SV18)@SV25)@SV27))=$false))),inference(extuni,[status(esa)],[496])).
52.35/52.67	 thf(558,plain,(![SV26:nat,SV19:nat,SV20:nat,SV21:nat]: (((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV20)@SX0)))=$false) | (((moreis@SV21)@SV26)=$false))),inference(extuni,[status(esa)],[494:[bind(SV25,$thf(SV20)),bind(SV27,$thf(SV21))]])).
52.35/52.67	 thf(559,plain,(![SV27:nat,SV25:nat,SV26:nat,SV19:nat,SV20:nat,SV21:nat]: (((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV27)@SV25)@((((((sK59_E@SV19)@SV26)@SV20)@SV21)@SV25)@SV27))=$true) | ((((diffprop@SV21)@SV20)@((((((sK59_E@SV19)@SV26)@SV20)@SV21)@SV25)@SV27))=$true))),inference(extuni,[status(esa)],[494])).
52.35/52.67	 thf(560,plain,(![SV27:nat,SV25:nat,SV26:nat,SV19:nat,SV20:nat,SV21:nat]: (((((diffprop@x)@z)@(((sK5_E@SV21)@SV20)@SV19))=$true) | ((((diffprop@SV19)@SV20)@(((sK5_E@SV21)@SV20)@SV19))=$true) | (((lessis@SV21)@SV19)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV27)@SV25)@((((((sK59_E@SV19)@SV26)@SV20)@SV21)@SV25)@SV27))=$false) | ((((diffprop@SV21)@SV20)@((((((sK59_E@SV19)@SV26)@SV20)@SV21)@SV25)@SV27))=$false))),inference(extuni,[status(esa)],[494])).
52.35/52.67	 thf(561,plain,(![SV26:nat,SV22:nat,SV23:nat,SV24:nat]: (((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV23)@SX0)))=$false) | (((moreis@SV24)@SV26)=$false))),inference(extuni,[status(esa)],[488:[bind(SV25,$thf(SV23)),bind(SV27,$thf(SV24))]])).
52.35/52.67	 thf(562,plain,(![SV27:nat,SV25:nat,SV26:nat,SV22:nat,SV23:nat,SV24:nat]: (((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV27)@SV25)@((((((sK60_E@SV22)@SV26)@SV23)@SV24)@SV25)@SV27))=$true) | ((((diffprop@SV24)@SV23)@((((((sK60_E@SV22)@SV26)@SV23)@SV24)@SV25)@SV27))=$true))),inference(extuni,[status(esa)],[488])).
52.35/52.67	 thf(563,plain,(![SV27:nat,SV25:nat,SV26:nat,SV22:nat,SV23:nat,SV24:nat]: (((((diffprop@x)@z)@(((sK5_E@SV24)@SV23)@SV22))=$false) | ((((diffprop@SV22)@SV23)@(((sK5_E@SV24)@SV23)@SV22))=$false) | (((lessis@SV24)@SV22)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV27)@SV25)@((((((sK60_E@SV22)@SV26)@SV23)@SV24)@SV25)@SV27))=$false) | ((((diffprop@SV24)@SV23)@((((((sK60_E@SV22)@SV26)@SV23)@SV24)@SV25)@SV27))=$false))),inference(extuni,[status(esa)],[488])).
52.35/52.67	 thf(565,plain,(![SV26:nat,SV25:nat,SV27:nat]: (((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV27)@SV25)@(((sK61_E@SV26)@SV25)@SV27))=$true) | ((((diffprop@SV26)@SV25)@(((sK61_E@SV26)@SV25)@SV27))=$true))),inference(extuni,[status(esa)],[483])).
52.35/52.67	 thf(566,plain,(![SV26:nat,SV25:nat,SV27:nat]: (((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV27)@SV25)@(((sK61_E@SV26)@SV25)@SV27))=$false) | ((((diffprop@SV26)@SV25)@(((sK61_E@SV26)@SV25)@SV27))=$false))),inference(extuni,[status(esa)],[483])).
52.35/52.67	 thf(568,plain,(![SV27:nat,SV25:nat,SV26:nat]: (((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV26)@SV25)@(((sK62_E@SV27)@SV25)@SV26))=$true) | ((((diffprop@SV27)@SV25)@(((sK62_E@SV27)@SV25)@SV26))=$true))),inference(extuni,[status(esa)],[481])).
52.35/52.67	 thf(569,plain,(![SV27:nat,SV25:nat,SV26:nat]: (((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((((diffprop@SV26)@SV25)@(((sK62_E@SV27)@SV25)@SV26))=$false) | ((((diffprop@SV27)@SV25)@(((sK62_E@SV27)@SV25)@SV26))=$false))),inference(extuni,[status(esa)],[481])).
52.35/52.67	 thf(570,plain,(![SV26:nat,SV25:nat,SV27:nat]: (((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | ((((diffprop@SV27)@SV25)@(((sK61_E@SV26)@SV25)@SV27))=$false) | ((((diffprop@SV26)@SV25)@(((sK61_E@SV26)@SV25)@SV27))=$false))),inference(sim,[status(thm)],[566])).
52.35/52.67	 thf(571,plain,(![SV26:nat,SV25:nat,SV27:nat]: (((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | ((((diffprop@SV27)@SV25)@(((sK61_E@SV26)@SV25)@SV27))=$true) | ((((diffprop@SV26)@SV25)@(((sK61_E@SV26)@SV25)@SV27))=$true))),inference(sim,[status(thm)],[565])).
52.35/52.67	 thf(572,plain,(![SV27:nat,SV25:nat,SV26:nat]: (((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | ((((diffprop@SV26)@SV25)@(((sK62_E@SV27)@SV25)@SV26))=$false) | ((((diffprop@SV27)@SV25)@(((sK62_E@SV27)@SV25)@SV26))=$false))),inference(sim,[status(thm)],[569])).
52.35/52.67	 thf(573,plain,(![SV27:nat,SV25:nat,SV26:nat]: (((some@(^[SX0:nat]: (((diffprop@SV26)@SV25)@SX0)))=$false) | (((moreis@SV27)@SV26)=$false) | ((some@(^[SX0:nat]: (((diffprop@SV27)@SV25)@SX0)))=$true) | ((((diffprop@SV26)@SV25)@(((sK62_E@SV27)@SV25)@SV26))=$true) | ((((diffprop@SV27)@SV25)@(((sK62_E@SV27)@SV25)@SV26))=$true))),inference(sim,[status(thm)],[568])).
52.35/52.67	 thf(577,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[16,573,572,571,570,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,480,479,477,475,473,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,261,260,258,256,254,252,251,250,249,248,247,246,245,244,243,242,241,192,191,190,189,188,187,186,185,184,183,182,181,180,141,140,139,138,137,136,135,134,133,116,115,107,105,104,89,73,44,43,37,36,35,34,22,17])).
52.35/52.67	 thf(578,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[577])).
52.35/52.67	% SZS output end CNFRefutation
52.35/52.67	
52.35/52.67	%**** End of derivation protocol ****
52.35/52.67	%**** no. of clauses in derivation: 295 ****
52.35/52.67	%**** clause counter: 577 ****
52.35/52.67	
52.35/52.67	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:577,loop_count:20,foatp_calls:3,translation:fof_full)
52.35/52.68	EOF