TSTP Solution File: NUM666^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM666^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 11:53:57 EDT 2022
% Result : Theorem 12.14s 12.41s
% Output : CNFRefutation 12.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 81
% Syntax : Number of formulae : 371 ( 29 unt; 76 typ; 0 def)
% Number of atoms : 4491 (1443 equ; 0 cnn)
% Maximal formula atoms : 8 ( 15 avg)
% Number of connectives : 7041 ( 20 ~;1037 |; 0 &;5978 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 165 ( 165 >; 0 *; 0 +; 0 <<)
% Number of symbols : 78 ( 75 usr; 36 con; 0-6 aty)
% Number of variables : 1309 ( 353 ^ 956 !; 0 ?;1309 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_nat,type,
nat: $tType ).
thf(tp_diffprop,type,
diffprop: nat > nat > nat > $o ).
thf(tp_lessis,type,
lessis: nat > nat > $o ).
thf(tp_moreis,type,
moreis: nat > nat > $o ).
thf(tp_sK10_E,type,
sK10_E: nat > nat > nat > nat > nat ).
thf(tp_sK11_E,type,
sK11_E: nat ).
thf(tp_sK12_E,type,
sK12_E: nat > nat > nat > nat ).
thf(tp_sK13_E,type,
sK13_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK14_E,type,
sK14_E: nat ).
thf(tp_sK15_E,type,
sK15_E: nat ).
thf(tp_sK16_E,type,
sK16_E: nat ).
thf(tp_sK17_E,type,
sK17_E: nat > nat > nat > nat ).
thf(tp_sK18_E,type,
sK18_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK19_E,type,
sK19_E: nat ).
thf(tp_sK1_E,type,
sK1_E: nat ).
thf(tp_sK20_E,type,
sK20_E: nat > nat ).
thf(tp_sK21_E,type,
sK21_E: nat > nat > nat > nat > nat ).
thf(tp_sK22_E,type,
sK22_E: nat > nat > nat ).
thf(tp_sK23_E,type,
sK23_E: nat > nat > nat > nat > nat ).
thf(tp_sK24_E,type,
sK24_E: nat > nat > nat > nat > nat ).
thf(tp_sK25_E,type,
sK25_E: nat ).
thf(tp_sK26_E,type,
sK26_E: nat ).
thf(tp_sK27_E,type,
sK27_E: nat > nat > nat > nat ).
thf(tp_sK28_E,type,
sK28_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK29_E,type,
sK29_E: nat > nat > nat > nat > nat ).
thf(tp_sK2_E,type,
sK2_E: nat ).
thf(tp_sK30_E,type,
sK30_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK31_E,type,
sK31_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK32_E,type,
sK32_E: nat ).
thf(tp_sK33_E,type,
sK33_E: nat ).
thf(tp_sK34_E,type,
sK34_E: nat ).
thf(tp_sK35_E,type,
sK35_E: nat ).
thf(tp_sK36_E,type,
sK36_E: nat > nat > nat > nat ).
thf(tp_sK37_E,type,
sK37_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK38_E,type,
sK38_E: nat > nat > nat > nat > nat ).
thf(tp_sK39_E,type,
sK39_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK3_E,type,
sK3_E: nat ).
thf(tp_sK40_E,type,
sK40_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK41_E,type,
sK41_E: nat ).
thf(tp_sK42_E,type,
sK42_E: nat ).
thf(tp_sK43_E,type,
sK43_E: nat ).
thf(tp_sK44_E,type,
sK44_E: nat ).
thf(tp_sK45_E,type,
sK45_E: nat > nat > nat > nat ).
thf(tp_sK46_E,type,
sK46_E: nat > nat > nat > nat ).
thf(tp_sK47_E,type,
sK47_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK48_E,type,
sK48_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK49_E,type,
sK49_E: nat > nat > nat > nat > nat ).
thf(tp_sK4_E,type,
sK4_E: nat > nat > nat > nat ).
thf(tp_sK50_E,type,
sK50_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK51_E,type,
sK51_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK52_E,type,
sK52_E: nat > nat > nat > nat > nat ).
thf(tp_sK53_E,type,
sK53_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK54_E,type,
sK54_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK55_E,type,
sK55_E: nat > nat > nat > nat ).
thf(tp_sK56_E,type,
sK56_E: nat > nat > nat > nat ).
thf(tp_sK57_E,type,
sK57_E: nat ).
thf(tp_sK58_E,type,
sK58_E: nat ).
thf(tp_sK59_E,type,
sK59_E: nat ).
thf(tp_sK5_E,type,
sK5_E: nat > nat > nat > nat ).
thf(tp_sK60_E,type,
sK60_E: nat ).
thf(tp_sK61_E,type,
sK61_E: nat ).
thf(tp_sK62_E,type,
sK62_E: nat ).
thf(tp_sK63_E,type,
sK63_E: nat ).
thf(tp_sK64_E,type,
sK64_E: nat ).
thf(tp_sK65_E,type,
sK65_E: nat ).
thf(tp_sK66_E,type,
sK66_E: nat ).
thf(tp_sK67_E,type,
sK67_E: nat ).
thf(tp_sK68_E,type,
sK68_E: nat ).
thf(tp_sK6_E,type,
sK6_E: nat > nat > nat > nat ).
thf(tp_sK7_E,type,
sK7_E: nat > nat > nat > nat ).
thf(tp_sK8_E,type,
sK8_E: nat ).
thf(tp_sK9_E,type,
sK9_E: nat > nat ).
thf(tp_some,type,
some: ( nat > $o ) > $o ).
thf(tp_x,type,
x: nat ).
thf(tp_y,type,
y: nat ).
thf(tp_z,type,
z: nat ).
thf(1,axiom,
! [Xx: nat,Xy: nat] :
( ( moreis @ Xx @ Xy )
=> ( lessis @ Xy @ Xx ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz13) ).
thf(2,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( lessis @ Xx @ Xy )
=> ( ( some
@ ^ [Xv: nat] : ( diffprop @ Xz @ Xy @ Xv ) )
=> ( some
@ ^ [Xv: nat] : ( diffprop @ Xz @ Xx @ Xv ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz16a) ).
thf(3,axiom,
moreis @ y @ z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n) ).
thf(4,axiom,
( some
@ ^ [Xu: nat] : ( diffprop @ x @ y @ Xu ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
thf(5,conjecture,
( some
@ ^ [Xu: nat] : ( diffprop @ x @ z @ Xu ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz16d) ).
thf(6,negated_conjecture,
( ( some
@ ^ [Xu: nat] : ( diffprop @ x @ z @ Xu ) )
= $false ),
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,plain,
( ( some
@ ^ [Xu: nat] : ( diffprop @ x @ z @ Xu ) )
= $false ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [Xx: nat,Xy: nat] :
( ( moreis @ Xx @ Xy )
=> ( lessis @ Xy @ Xx ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( ! [Xx: nat,Xy: nat,Xz: nat] :
( ( lessis @ Xx @ Xy )
=> ( ( some
@ ^ [Xv: nat] : ( diffprop @ Xz @ Xy @ Xv ) )
=> ( some
@ ^ [Xv: nat] : ( diffprop @ Xz @ Xx @ Xv ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(10,plain,
( ( moreis @ y @ z )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(11,plain,
( ( some
@ ^ [Xu: nat] : ( diffprop @ x @ y @ Xu ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(12,plain,
( ( ~ ( some
@ ^ [Xu: nat] : ( diffprop @ x @ z @ Xu ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(13,plain,
( ( ! [Xx: nat,Xy: nat] :
( ~ ( moreis @ Xx @ Xy )
| ( lessis @ Xy @ Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(14,plain,
( ( ! [Xx: nat,Xy: nat] :
( ~ ( lessis @ Xx @ Xy )
| ! [Xz: nat] :
( ~ ( some
@ ^ [Xv: nat] : ( diffprop @ Xz @ Xy @ Xv ) )
| ( some
@ ^ [Xv: nat] : ( diffprop @ Xz @ Xx @ Xv ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(15,plain,
( ( some
@ ^ [Xu: nat] : ( diffprop @ x @ y @ Xu ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(16,plain,
( ( moreis @ y @ z )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(17,plain,
( ( ! [Xx: nat,Xy: nat] :
( ~ ( lessis @ Xx @ Xy )
| ! [Xz: nat] :
( ~ ( some
@ ^ [Xv: nat] : ( diffprop @ Xz @ Xy @ Xv ) )
| ( some
@ ^ [Xv: nat] : ( diffprop @ Xz @ Xx @ Xv ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(18,plain,
( ( ! [Xx: nat,Xy: nat] :
( ~ ( moreis @ Xx @ Xy )
| ( lessis @ Xy @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(19,plain,
( ( ~ ( some
@ ^ [Xu: nat] : ( diffprop @ x @ z @ Xu ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(20,plain,
! [SV1: nat] :
( ( ! [SY9: nat] :
( ~ ( lessis @ SV1 @ SY9 )
| ! [SY10: nat] :
( ~ ( some
@ ^ [Xv: nat] : ( diffprop @ SY10 @ SY9 @ Xv ) )
| ( some
@ ^ [SY12: nat] : ( diffprop @ SY10 @ SV1 @ SY12 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: nat] :
( ( ! [SY13: nat] :
( ~ ( moreis @ SV2 @ SY13 )
| ( lessis @ SY13 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( some
@ ^ [Xu: nat] : ( diffprop @ x @ z @ Xu ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV3: nat,SV1: nat] :
( ( ~ ( lessis @ SV1 @ SV3 )
| ! [SY14: nat] :
( ~ ( some
@ ^ [SY15: nat] : ( diffprop @ SY14 @ SV3 @ SY15 ) )
| ( some
@ ^ [SY12: nat] : ( diffprop @ SY14 @ SV1 @ SY12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV4: nat,SV2: nat] :
( ( ~ ( moreis @ SV2 @ SV4 )
| ( lessis @ SV4 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV3: nat,SV1: nat] :
( ( ( ~ ( lessis @ SV1 @ SV3 ) )
= $true )
| ( ( ! [SY14: nat] :
( ~ ( some
@ ^ [SY15: nat] : ( diffprop @ SY14 @ SV3 @ SY15 ) )
| ( some
@ ^ [SY12: nat] : ( diffprop @ SY14 @ SV1 @ SY12 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(26,plain,
! [SV4: nat,SV2: nat] :
( ( ( ~ ( moreis @ SV2 @ SV4 ) )
= $true )
| ( ( lessis @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV3: nat,SV1: nat] :
( ( ( lessis @ SV1 @ SV3 )
= $false )
| ( ( ! [SY14: nat] :
( ~ ( some
@ ^ [SY15: nat] : ( diffprop @ SY14 @ SV3 @ SY15 ) )
| ( some
@ ^ [SY12: nat] : ( diffprop @ SY14 @ SV1 @ SY12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
! [SV4: nat,SV2: nat] :
( ( ( moreis @ SV2 @ SV4 )
= $false )
| ( ( lessis @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV1: nat,SV3: nat,SV5: nat] :
( ( ( ~ ( some
@ ^ [SY17: nat] : ( diffprop @ SV5 @ SV3 @ SY17 ) )
| ( some
@ ^ [SY18: nat] : ( diffprop @ SV5 @ SV1 @ SY18 ) ) )
= $true )
| ( ( lessis @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV1: nat,SV3: nat,SV5: nat] :
( ( ( ~ ( some
@ ^ [SY17: nat] : ( diffprop @ SV5 @ SV3 @ SY17 ) ) )
= $true )
| ( ( some
@ ^ [SY18: nat] : ( diffprop @ SV5 @ SV1 @ SY18 ) )
= $true )
| ( ( lessis @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(31,plain,
! [SV1: nat,SV3: nat,SV5: nat] :
( ( ( some
@ ^ [SY17: nat] : ( diffprop @ SV5 @ SV3 @ SY17 ) )
= $false )
| ( ( some
@ ^ [SY18: nat] : ( diffprop @ SV5 @ SV1 @ SY18 ) )
= $true )
| ( ( lessis @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
( ( ( some
@ ^ [Xu: nat] : ( diffprop @ x @ z @ Xu ) )
= ( some
@ ^ [Xu: nat] : ( diffprop @ x @ y @ Xu ) ) )
= $false ),
inference(res,[status(thm)],[22,15]) ).
thf(34,plain,
( ( z = y )
= $false ),
inference(extuni,[status(esa)],[33]) ).
thf(35,plain,
( ( ( diffprop @ x @ z @ sK1_E )
= $true )
| ( ( diffprop @ x @ y @ sK1_E )
= $true ) ),
inference(extuni,[status(esa)],[33]) ).
thf(36,plain,
( ( ( diffprop @ x @ z @ sK1_E )
= $false )
| ( ( diffprop @ x @ y @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[33]) ).
thf(37,plain,
! [SV6: nat,SV7: nat] :
( ( ( moreis @ SV7 @ SV6 )
= $false )
| ( ( lessis @ SV6 @ SV7 )
= $true ) ),
inference(rename,[status(thm)],[28]) ).
thf(41,plain,
! [SV6: nat,SV7: nat] :
( ( ( ( moreis @ SV7 @ SV6 )
= ( moreis @ y @ z ) )
= $false )
| ( ( lessis @ SV6 @ SV7 )
= $true ) ),
inference(res,[status(thm)],[37,16]) ).
thf(43,plain,
( ( lessis @ z @ y )
= $true ),
inference(extuni,[status(esa)],[41:[bind(SV6,$thf( z )),bind(SV7,$thf( y ))]]) ).
thf(44,plain,
! [SV8: nat,SV9: nat,SV10: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( lessis @ SV8 @ SV9 )
= $false ) ),
inference(rename,[status(thm)],[31]) ).
thf(47,plain,
! [SV8: nat,SV9: nat,SV10: nat,SV8: nat,SV9: nat,SV10: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( lessis @ SV8 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[44,44]) ).
thf(49,plain,
! [SV8: nat,SV9: nat,SV10: nat,SV6: nat,SV7: nat] :
( ( ( ( lessis @ SV8 @ SV9 )
= ( lessis @ SV6 @ SV7 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( moreis @ SV7 @ SV6 )
= $false ) ),
inference(res,[status(thm)],[44,37]) ).
thf(52,plain,
! [SV8: nat,SV9: nat,SV10: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= ( some
@ ^ [Xu: nat] : ( diffprop @ x @ z @ Xu ) ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( lessis @ SV8 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[44,22]) ).
thf(56,plain,
! [SV8: nat,SV9: nat,SV10: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= ( some
@ ^ [Xu: nat] : ( diffprop @ x @ y @ Xu ) ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( lessis @ SV8 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[44,15]) ).
thf(57,plain,
! [SV8: nat] :
( ( ( lessis @ SV8 @ y )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV8 @ SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[56:[bind(SV9,$thf( y )),bind(SV10,$thf( x ))]]) ).
thf(58,plain,
! [SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( diffprop @ SV10 @ SV9 @ ( sK4_E @ SV8 @ SV9 @ SV10 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV8 @ SV9 @ SV10 ) )
= $true ) ),
inference(extuni,[status(esa)],[56]) ).
thf(59,plain,
! [SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( diffprop @ SV10 @ SV9 @ ( sK4_E @ SV8 @ SV9 @ SV10 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV8 @ SV9 @ SV10 ) )
= $false ) ),
inference(extuni,[status(esa)],[56]) ).
thf(60,plain,
! [SV9: nat] :
( ( ( lessis @ z @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV9 @ SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[52:[bind(SV8,$thf( z )),bind(SV10,$thf( x ))]]) ).
thf(61,plain,
! [SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( diffprop @ SV10 @ SV8 @ ( sK5_E @ SV9 @ SV8 @ SV10 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV9 @ SV8 @ SV10 ) )
= $true ) ),
inference(extuni,[status(esa)],[52]) ).
thf(62,plain,
! [SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( diffprop @ SV10 @ SV8 @ ( sK5_E @ SV9 @ SV8 @ SV10 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV9 @ SV8 @ SV10 ) )
= $false ) ),
inference(extuni,[status(esa)],[52]) ).
thf(63,plain,
! [SV10: nat,SV6: nat,SV7: nat] :
( ( ( moreis @ SV7 @ SV6 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV6 @ SX0 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV7 @ SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV9,$thf( SV7 )),bind(SV8,$thf( SV6 ))]]) ).
thf(68,plain,
! [SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( diffprop @ SV10 @ SV9 @ ( sK7_E @ SV8 @ SV9 @ SV10 ) )
= $true )
| ( ( diffprop @ SV10 @ SV8 @ ( sK7_E @ SV8 @ SV9 @ SV10 ) )
= $true ) ),
inference(extuni,[status(esa)],[47]) ).
thf(73,plain,
! [SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( diffprop @ SV10 @ SV9 @ ( sK7_E @ SV8 @ SV9 @ SV10 ) )
= $true )
| ( ( diffprop @ SV10 @ SV8 @ ( sK7_E @ SV8 @ SV9 @ SV10 ) )
= $true ) ),
inference(sim,[status(thm)],[68]) ).
thf(88,plain,
( ( ( diffprop @ x @ y @ sK1_E )
= $true )
| ( ( ( diffprop @ x @ z @ sK1_E )
= ( diffprop @ x @ y @ sK1_E ) )
= $false ) ),
inference(fac_restr,[status(thm)],[35]) ).
thf(89,plain,
( ( ( z = y )
= $false )
| ( ( diffprop @ x @ y @ sK1_E )
= $true ) ),
inference(extuni,[status(esa)],[88]) ).
thf(95,plain,
( ( ( ( diffprop @ x @ z @ sK1_E )
= ( diffprop @ x @ y @ sK1_E ) )
= $false )
| ( ( diffprop @ x @ y @ sK1_E )
= $false )
| ( ( diffprop @ x @ z @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[36,35]) ).
thf(96,plain,
( ( ( ( diffprop @ x @ y @ sK1_E )
= ( diffprop @ x @ z @ sK1_E ) )
= $false )
| ( ( diffprop @ x @ z @ sK1_E )
= $false )
| ( ( diffprop @ x @ y @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[36,35]) ).
thf(102,plain,
( ( ( diffprop @ x @ y @ sK1_E )
= $false )
| ( ( ( diffprop @ x @ z @ sK1_E )
= ( diffprop @ x @ y @ sK1_E ) )
= $false ) ),
inference(fac_restr,[status(thm)],[36]) ).
thf(104,plain,
( ( ( diffprop @ x @ y @ sK1_E )
= $true )
| ( ( diffprop @ x @ z @ sK1_E )
= $false )
| ( ( y = z )
= $false ) ),
inference(extuni,[status(esa)],[96]) ).
thf(105,plain,
( ( ( diffprop @ x @ z @ sK1_E )
= $true )
| ( ( diffprop @ x @ y @ sK1_E )
= $false )
| ( ( z = y )
= $false ) ),
inference(extuni,[status(esa)],[95]) ).
thf(107,plain,
( ( ( z = y )
= $false )
| ( ( diffprop @ x @ y @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[102]) ).
thf(108,plain,
! [SV8: nat,SV9: nat,SV10: nat] :
( ( ( ( lessis @ z @ y )
= ( lessis @ SV8 @ SV9 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true ) ),
inference(res,[status(thm)],[43,44]) ).
thf(115,plain,
! [SV10: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ z @ SX0 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ y @ SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[108:[bind(SV9,$thf( y )),bind(SV8,$thf( z ))]]) ).
thf(116,plain,
! [SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV11 @ SX0 ) )
= $true ) ),
inference(rename,[status(thm)],[57]) ).
thf(121,plain,
! [SV11: nat,SV8: nat,SV9: nat,SV10: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV11 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) ) )
= $false )
| ( ( lessis @ SV11 @ y )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( lessis @ SV8 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[116,44]) ).
thf(122,plain,
! [SV11: nat] :
( ( ( ( lessis @ SV11 @ y )
= ( lessis @ z @ y ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV11 @ SX0 ) )
= $true ) ),
inference(res,[status(thm)],[116,43]) ).
thf(123,plain,
! [SV11: nat,SV6: nat,SV7: nat] :
( ( ( ( lessis @ SV11 @ y )
= ( lessis @ SV6 @ SV7 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV11 @ SX0 ) )
= $true )
| ( ( moreis @ SV7 @ SV6 )
= $false ) ),
inference(res,[status(thm)],[116,37]) ).
thf(130,plain,
! [SV11: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV11 @ SX0 ) )
= ( some
@ ^ [Xu: nat] : ( diffprop @ x @ z @ Xu ) ) )
= $false )
| ( ( lessis @ SV11 @ y )
= $false ) ),
inference(res,[status(thm)],[116,22]) ).
thf(133,plain,
( ( lessis @ z @ y )
= $false ),
inference(extuni,[status(esa)],[130:[bind(SV11,$thf( z ))]]) ).
thf(134,plain,
! [SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( diffprop @ x @ SV11 @ ( sK9_E @ SV11 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK9_E @ SV11 ) )
= $true ) ),
inference(extuni,[status(esa)],[130]) ).
thf(135,plain,
! [SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( diffprop @ x @ SV11 @ ( sK9_E @ SV11 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK9_E @ SV11 ) )
= $false ) ),
inference(extuni,[status(esa)],[130]) ).
thf(136,plain,
! [SV6: nat] :
( ( ( moreis @ y @ SV6 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV6 @ SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[123:[bind(SV7,$thf( y )),bind(SV11,$thf( SV6 ))]]) ).
thf(137,plain,
( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ z @ SX0 ) )
= $true ),
inference(extuni,[status(esa)],[122:[bind(SV11,$thf( z ))]]) ).
thf(138,plain,
! [SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV8 @ SX0 ) )
= $true )
| ( ( lessis @ SV9 @ y )
= $false ) ),
inference(extuni,[status(esa)],[121:[bind(SV11,$thf( SV9 )),bind(SV10,$thf( x ))]]) ).
thf(139,plain,
! [SV11: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( lessis @ SV11 @ y )
= $false )
| ( ( diffprop @ x @ SV11 @ ( sK10_E @ SV8 @ SV9 @ SV10 @ SV11 ) )
= $true )
| ( ( diffprop @ SV10 @ SV9 @ ( sK10_E @ SV8 @ SV9 @ SV10 @ SV11 ) )
= $true ) ),
inference(extuni,[status(esa)],[121]) ).
thf(140,plain,
! [SV11: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( lessis @ SV11 @ y )
= $false )
| ( ( diffprop @ x @ SV11 @ ( sK10_E @ SV8 @ SV9 @ SV10 @ SV11 ) )
= $false )
| ( ( diffprop @ SV10 @ SV9 @ ( sK10_E @ SV8 @ SV9 @ SV10 @ SV11 ) )
= $false ) ),
inference(extuni,[status(esa)],[121]) ).
thf(141,plain,
! [SV12: nat,SV13: nat,SV14: nat] :
( ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(rename,[status(thm)],[58]) ).
thf(158,plain,
! [SV12: nat,SV13: nat,SV14: nat,SV8: nat,SV9: nat,SV10: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( lessis @ SV8 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[141,44]) ).
thf(159,plain,
! [SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( lessis @ SV14 @ SV13 )
= ( lessis @ z @ y ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[141,43]) ).
thf(160,plain,
! [SV12: nat,SV13: nat,SV14: nat,SV6: nat,SV7: nat] :
( ( ( ( lessis @ SV14 @ SV13 )
= ( lessis @ SV6 @ SV7 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( moreis @ SV7 @ SV6 )
= $false ) ),
inference(res,[status(thm)],[141,37]) ).
thf(164,plain,
! [SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= ( diffprop @ x @ y @ sK1_E ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ z @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[141,36]) ).
thf(165,plain,
! [SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= ( diffprop @ x @ y @ sK1_E ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ z @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[141,36]) ).
thf(167,plain,
! [SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= ( diffprop @ x @ z @ sK1_E ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ y @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[141,36]) ).
thf(168,plain,
! [SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= ( diffprop @ x @ z @ sK1_E ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ y @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[141,36]) ).
thf(177,plain,
! [SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= ( some
@ ^ [Xu: nat] : ( diffprop @ x @ z @ Xu ) ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[141,22]) ).
thf(180,plain,
! [SV13: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ z @ SV13 @ x ) )
= $true )
| ( ( diffprop @ x @ SV13 @ ( sK4_E @ z @ SV13 @ x ) )
= $true )
| ( ( lessis @ z @ SV13 )
= $false ) ),
inference(extuni,[status(esa)],[177:[bind(SV14,$thf( z )),bind(SV12,$thf( x ))]]) ).
thf(181,plain,
! [SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ SV12 @ SV14 @ ( sK12_E @ SV13 @ SV14 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK12_E @ SV13 @ SV14 @ SV12 ) )
= $true ) ),
inference(extuni,[status(esa)],[177]) ).
thf(182,plain,
! [SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ SV12 @ SV14 @ ( sK12_E @ SV13 @ SV14 @ SV12 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK12_E @ SV13 @ SV14 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[177]) ).
thf(183,plain,
! [SV14: nat] :
( ( ( diffprop @ x @ y @ sK1_E )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ z @ x ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV14 @ SX0 ) )
= $true )
| ( ( lessis @ SV14 @ z )
= $false )
| ( ( ( sK4_E @ SV14 @ z @ x )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[168:[bind(SV13,$thf( z )),bind(SV12,$thf( x ))]]) ).
thf(184,plain,
! [SV14: nat,SV13: nat,SV12: nat] :
( ( ( diffprop @ x @ y @ sK1_E )
= $false )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( ( sK4_E @ SV14 @ SV13 @ SV12 )
= sK1_E )
= $false )
| ( ( y = z )
= $false ) ),
inference(extuni,[status(esa)],[167]) ).
thf(185,plain,
! [SV14: nat] :
( ( ( diffprop @ x @ z @ sK1_E )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ y @ x ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV14 @ SX0 ) )
= $true )
| ( ( lessis @ SV14 @ y )
= $false )
| ( ( ( sK4_E @ SV14 @ y @ x )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[165:[bind(SV13,$thf( y )),bind(SV12,$thf( x ))]]) ).
thf(186,plain,
! [SV14: nat,SV13: nat,SV12: nat] :
( ( ( diffprop @ x @ z @ sK1_E )
= $false )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( ( sK4_E @ SV14 @ SV13 @ SV12 )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[164]) ).
thf(187,plain,
! [SV12: nat,SV6: nat,SV7: nat] :
( ( ( moreis @ SV7 @ SV6 )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV6 @ SV7 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV7 @ ( sK4_E @ SV6 @ SV7 @ SV12 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV6 @ SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[160:[bind(SV13,$thf( SV7 )),bind(SV14,$thf( SV6 ))]]) ).
thf(188,plain,
! [SV12: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ z @ y @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ y @ ( sK4_E @ z @ y @ SV12 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ z @ SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[159:[bind(SV13,$thf( y )),bind(SV14,$thf( z ))]]) ).
thf(189,plain,
! [SV13: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV9 @ SV13 @ SV10 ) )
= $true )
| ( ( diffprop @ SV10 @ SV13 @ ( sK4_E @ SV9 @ SV13 @ SV10 ) )
= $true )
| ( ( lessis @ SV9 @ SV13 )
= $false ) ),
inference(extuni,[status(esa)],[158:[bind(SV14,$thf( SV9 )),bind(SV12,$thf( SV10 ))]]) ).
thf(190,plain,
! [SV12: nat,SV13: nat,SV14: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ SV12 @ SV14 @ ( sK13_E @ SV8 @ SV13 @ SV9 @ SV10 @ SV14 @ SV12 ) )
= $true )
| ( ( diffprop @ SV10 @ SV9 @ ( sK13_E @ SV8 @ SV13 @ SV9 @ SV10 @ SV14 @ SV12 ) )
= $true ) ),
inference(extuni,[status(esa)],[158]) ).
thf(191,plain,
! [SV12: nat,SV13: nat,SV14: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ SV12 @ SV14 @ ( sK13_E @ SV8 @ SV13 @ SV9 @ SV10 @ SV14 @ SV12 ) )
= $false )
| ( ( diffprop @ SV10 @ SV9 @ ( sK13_E @ SV8 @ SV13 @ SV9 @ SV10 @ SV14 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[158]) ).
thf(192,plain,
! [SV15: nat,SV16: nat,SV17: nat] :
( ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false ) ),
inference(rename,[status(thm)],[59]) ).
thf(199,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[192,141]) ).
thf(200,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[192,141]) ).
thf(202,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[192,141]) ).
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 )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[192,141]) ).
thf(217,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV8: nat,SV9: nat,SV10: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( lessis @ SV8 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[192,44]) ).
thf(220,plain,
! [SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( lessis @ SV17 @ SV16 )
= ( lessis @ z @ y ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false ) ),
inference(res,[status(thm)],[192,43]) ).
thf(223,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV6: nat,SV7: nat] :
( ( ( ( lessis @ SV17 @ SV16 )
= ( lessis @ SV6 @ SV7 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( moreis @ SV7 @ SV6 )
= $false ) ),
inference(res,[status(thm)],[192,37]) ).
thf(227,plain,
! [SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= ( diffprop @ x @ y @ sK1_E ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ z @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[192,35]) ).
thf(228,plain,
! [SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= ( diffprop @ x @ y @ sK1_E ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ z @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[192,35]) ).
thf(230,plain,
! [SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= ( diffprop @ x @ z @ sK1_E ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ y @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[192,35]) ).
thf(231,plain,
! [SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= ( diffprop @ x @ z @ sK1_E ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ y @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[192,35]) ).
thf(234,plain,
! [SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= ( some
@ ^ [Xu: nat] : ( diffprop @ x @ z @ Xu ) ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false ) ),
inference(res,[status(thm)],[192,22]) ).
thf(241,plain,
! [SV16: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ z @ SV16 @ x ) )
= $false )
| ( ( diffprop @ x @ SV16 @ ( sK4_E @ z @ SV16 @ x ) )
= $false )
| ( ( lessis @ z @ SV16 )
= $false ) ),
inference(extuni,[status(esa)],[234:[bind(SV17,$thf( z )),bind(SV15,$thf( x ))]]) ).
thf(242,plain,
! [SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ SV15 @ SV17 @ ( sK17_E @ SV16 @ SV17 @ SV15 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK17_E @ SV16 @ SV17 @ SV15 ) )
= $true ) ),
inference(extuni,[status(esa)],[234]) ).
thf(243,plain,
! [SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ SV15 @ SV17 @ ( sK17_E @ SV16 @ SV17 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK17_E @ SV16 @ SV17 @ SV15 ) )
= $false ) ),
inference(extuni,[status(esa)],[234]) ).
thf(244,plain,
! [SV17: nat] :
( ( ( diffprop @ x @ y @ sK1_E )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ z @ x ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV17 @ SX0 ) )
= $true )
| ( ( lessis @ SV17 @ z )
= $false )
| ( ( ( sK4_E @ SV17 @ z @ x )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[231:[bind(SV16,$thf( z )),bind(SV15,$thf( x ))]]) ).
thf(245,plain,
! [SV17: nat,SV16: nat,SV15: nat] :
( ( ( diffprop @ x @ y @ sK1_E )
= $true )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( ( sK4_E @ SV17 @ SV16 @ SV15 )
= sK1_E )
= $false )
| ( ( y = z )
= $false ) ),
inference(extuni,[status(esa)],[230]) ).
thf(246,plain,
! [SV17: nat] :
( ( ( diffprop @ x @ z @ sK1_E )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ y @ x ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV17 @ SX0 ) )
= $true )
| ( ( lessis @ SV17 @ y )
= $false )
| ( ( ( sK4_E @ SV17 @ y @ x )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[228:[bind(SV16,$thf( y )),bind(SV15,$thf( x ))]]) ).
thf(247,plain,
! [SV17: nat,SV16: nat,SV15: nat] :
( ( ( diffprop @ x @ z @ sK1_E )
= $true )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( ( sK4_E @ SV17 @ SV16 @ SV15 )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[227]) ).
thf(248,plain,
! [SV15: nat,SV6: nat,SV7: nat] :
( ( ( moreis @ SV7 @ SV6 )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV6 @ SV7 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV7 @ ( sK4_E @ SV6 @ SV7 @ SV15 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV6 @ SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[223:[bind(SV16,$thf( SV7 )),bind(SV17,$thf( SV6 ))]]) ).
thf(249,plain,
! [SV15: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ z @ y @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ y @ ( sK4_E @ z @ y @ SV15 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ z @ SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[220:[bind(SV16,$thf( y )),bind(SV17,$thf( z ))]]) ).
thf(250,plain,
! [SV16: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV9 @ SV16 @ SV10 ) )
= $false )
| ( ( diffprop @ SV10 @ SV16 @ ( sK4_E @ SV9 @ SV16 @ SV10 ) )
= $false )
| ( ( lessis @ SV9 @ SV16 )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV17,$thf( SV9 )),bind(SV15,$thf( SV10 ))]]) ).
thf(251,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ SV15 @ SV17 @ ( sK18_E @ SV8 @ SV16 @ SV9 @ SV10 @ SV17 @ SV15 ) )
= $true )
| ( ( diffprop @ SV10 @ SV9 @ ( sK18_E @ SV8 @ SV16 @ SV9 @ SV10 @ SV17 @ SV15 ) )
= $true ) ),
inference(extuni,[status(esa)],[217]) ).
thf(252,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ SV15 @ SV17 @ ( sK18_E @ SV8 @ SV16 @ SV9 @ SV10 @ SV17 @ SV15 ) )
= $false )
| ( ( diffprop @ SV10 @ SV9 @ ( sK18_E @ SV8 @ SV16 @ SV9 @ SV10 @ SV17 @ SV15 ) )
= $false ) ),
inference(extuni,[status(esa)],[217]) ).
thf(254,plain,
! [SV17: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV13 @ SV12 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV17 @ SX0 ) )
= $true )
| ( ( lessis @ SV17 @ SV13 )
= $false )
| ( ( ( sK4_E @ SV17 @ SV13 @ SV12 )
= ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[203:[bind(SV16,$thf( SV13 )),bind(SV15,$thf( SV12 ))]]) ).
thf(256,plain,
! [SV17: nat,SV16: nat,SV15: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ y @ x ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV14 @ SX0 ) )
= $true )
| ( ( lessis @ SV14 @ y )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( ( sK4_E @ SV17 @ SV16 @ SV15 )
= ( sK4_E @ SV14 @ y @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[202:[bind(SV13,$thf( y )),bind(SV12,$thf( x ))]]) ).
thf(258,plain,
! [SV17: nat,SV14: nat,SV13: nat,SV12: nat] :
( ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ y @ x ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV17 @ SX0 ) )
= $true )
| ( ( lessis @ SV17 @ y )
= $false )
| ( ( ( sK4_E @ SV17 @ y @ x )
= ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[200:[bind(SV16,$thf( y )),bind(SV15,$thf( x ))]]) ).
thf(260,plain,
! [SV17: nat,SV16: nat,SV15: nat,SV14: nat,SV13: nat,SV12: nat] :
( ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( ( sK4_E @ SV17 @ SV16 @ SV15 )
= ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[199]) ).
thf(261,plain,
! [SV18: nat] :
( ( ( lessis @ z @ SV18 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV18 @ SX0 ) )
= $false ) ),
inference(rename,[status(thm)],[60]) ).
thf(262,plain,
! [SV18: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV18 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) ) )
= $false )
| ( ( lessis @ z @ SV18 )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false ) ),
inference(res,[status(thm)],[261,192]) ).
thf(268,plain,
! [SV18: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV18 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) ) )
= $false )
| ( ( lessis @ z @ SV18 )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[261,141]) ).
thf(270,plain,
! [SV18: nat,SV11: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV18 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV11 @ SX0 ) ) )
= $false )
| ( ( lessis @ z @ SV18 )
= $false )
| ( ( lessis @ SV11 @ y )
= $false ) ),
inference(res,[status(thm)],[261,116]) ).
thf(272,plain,
! [SV18: nat,SV8: nat,SV9: nat,SV10: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV18 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) ) )
= $false )
| ( ( lessis @ z @ SV18 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( lessis @ SV8 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[261,44]) ).
thf(275,plain,
! [SV18: nat] :
( ( ( ( lessis @ z @ SV18 )
= ( lessis @ z @ y ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV18 @ SX0 ) )
= $false ) ),
inference(res,[status(thm)],[261,43]) ).
thf(277,plain,
! [SV18: nat,SV6: nat,SV7: nat] :
( ( ( ( lessis @ z @ SV18 )
= ( lessis @ SV6 @ SV7 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV18 @ SX0 ) )
= $false )
| ( ( moreis @ SV7 @ SV6 )
= $false ) ),
inference(res,[status(thm)],[261,37]) ).
thf(284,plain,
! [SV18: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV18 @ SX0 ) )
= ( some
@ ^ [Xu: nat] : ( diffprop @ x @ y @ Xu ) ) )
= $false )
| ( ( lessis @ z @ SV18 )
= $false ) ),
inference(res,[status(thm)],[261,15]) ).
thf(287,plain,
( ( lessis @ z @ y )
= $false ),
inference(extuni,[status(esa)],[284:[bind(SV18,$thf( y ))]]) ).
thf(288,plain,
! [SV18: nat] :
( ( ( lessis @ z @ SV18 )
= $false )
| ( ( diffprop @ x @ SV18 @ ( sK20_E @ SV18 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK20_E @ SV18 ) )
= $true ) ),
inference(extuni,[status(esa)],[284]) ).
thf(289,plain,
! [SV18: nat] :
( ( ( lessis @ z @ SV18 )
= $false )
| ( ( diffprop @ x @ SV18 @ ( sK20_E @ SV18 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK20_E @ SV18 ) )
= $false ) ),
inference(extuni,[status(esa)],[284]) ).
thf(290,plain,
! [SV7: nat] :
( ( ( moreis @ SV7 @ z )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV7 @ SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[277:[bind(SV18,$thf( SV7 )),bind(SV6,$thf( z ))]]) ).
thf(291,plain,
( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ y @ SX0 ) )
= $false ),
inference(extuni,[status(esa)],[275:[bind(SV18,$thf( y ))]]) ).
thf(292,plain,
! [SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV9 @ SX0 ) )
= $false )
| ( ( lessis @ z @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[272:[bind(SV18,$thf( SV8 )),bind(SV10,$thf( x ))]]) ).
thf(293,plain,
! [SV18: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( lessis @ z @ SV18 )
= $false )
| ( ( diffprop @ x @ SV18 @ ( sK21_E @ SV9 @ SV8 @ SV10 @ SV18 ) )
= $true )
| ( ( diffprop @ SV10 @ SV8 @ ( sK21_E @ SV9 @ SV8 @ SV10 @ SV18 ) )
= $true ) ),
inference(extuni,[status(esa)],[272]) ).
thf(294,plain,
! [SV18: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( lessis @ z @ SV18 )
= $false )
| ( ( diffprop @ x @ SV18 @ ( sK21_E @ SV9 @ SV8 @ SV10 @ SV18 ) )
= $false )
| ( ( diffprop @ SV10 @ SV8 @ ( sK21_E @ SV9 @ SV8 @ SV10 @ SV18 ) )
= $false ) ),
inference(extuni,[status(esa)],[272]) ).
thf(295,plain,
! [SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( lessis @ z @ SV11 )
= $false ) ),
inference(extuni,[status(esa)],[270:[bind(SV18,$thf( SV11 ))]]) ).
thf(296,plain,
! [SV18: nat,SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( lessis @ z @ SV18 )
= $false )
| ( ( diffprop @ x @ SV18 @ ( sK22_E @ SV11 @ SV18 ) )
= $true )
| ( ( diffprop @ x @ SV11 @ ( sK22_E @ SV11 @ SV18 ) )
= $true ) ),
inference(extuni,[status(esa)],[270]) ).
thf(297,plain,
! [SV18: nat,SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( lessis @ z @ SV18 )
= $false )
| ( ( diffprop @ x @ SV18 @ ( sK22_E @ SV11 @ SV18 ) )
= $false )
| ( ( diffprop @ x @ SV11 @ ( sK22_E @ SV11 @ SV18 ) )
= $false ) ),
inference(extuni,[status(esa)],[270]) ).
thf(298,plain,
! [SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ x ) )
= $true )
| ( ( diffprop @ x @ SV13 @ ( sK4_E @ SV14 @ SV13 @ x ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( lessis @ z @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[268:[bind(SV18,$thf( SV14 )),bind(SV12,$thf( x ))]]) ).
thf(299,plain,
! [SV18: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( lessis @ z @ SV18 )
= $false )
| ( ( diffprop @ x @ SV18 @ ( sK23_E @ SV13 @ SV14 @ SV12 @ SV18 ) )
= $true )
| ( ( diffprop @ SV12 @ SV14 @ ( sK23_E @ SV13 @ SV14 @ SV12 @ SV18 ) )
= $true ) ),
inference(extuni,[status(esa)],[268]) ).
thf(300,plain,
! [SV18: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( lessis @ z @ SV18 )
= $false )
| ( ( diffprop @ x @ SV18 @ ( sK23_E @ SV13 @ SV14 @ SV12 @ SV18 ) )
= $false )
| ( ( diffprop @ SV12 @ SV14 @ ( sK23_E @ SV13 @ SV14 @ SV12 @ SV18 ) )
= $false ) ),
inference(extuni,[status(esa)],[268]) ).
thf(301,plain,
! [SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ x ) )
= $false )
| ( ( diffprop @ x @ SV16 @ ( sK4_E @ SV17 @ SV16 @ x ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( lessis @ z @ SV17 )
= $false ) ),
inference(extuni,[status(esa)],[262:[bind(SV18,$thf( SV17 )),bind(SV15,$thf( x ))]]) ).
thf(302,plain,
! [SV18: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( lessis @ z @ SV18 )
= $false )
| ( ( diffprop @ x @ SV18 @ ( sK24_E @ SV16 @ SV17 @ SV15 @ SV18 ) )
= $true )
| ( ( diffprop @ SV15 @ SV17 @ ( sK24_E @ SV16 @ SV17 @ SV15 @ SV18 ) )
= $true ) ),
inference(extuni,[status(esa)],[262]) ).
thf(303,plain,
! [SV18: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( lessis @ z @ SV18 )
= $false )
| ( ( diffprop @ x @ SV18 @ ( sK24_E @ SV16 @ SV17 @ SV15 @ SV18 ) )
= $false )
| ( ( diffprop @ SV15 @ SV17 @ ( sK24_E @ SV16 @ SV17 @ SV15 @ SV18 ) )
= $false ) ),
inference(extuni,[status(esa)],[262]) ).
thf(304,plain,
! [SV19: nat,SV20: nat,SV21: nat] :
( ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true ) ),
inference(rename,[status(thm)],[61]) ).
thf(317,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false ) ),
inference(res,[status(thm)],[304,192]) ).
thf(318,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false ) ),
inference(res,[status(thm)],[304,192]) ).
thf(319,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false ) ),
inference(res,[status(thm)],[304,192]) ).
thf(320,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false ) ),
inference(res,[status(thm)],[304,192]) ).
thf(321,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false ) ),
inference(res,[status(thm)],[304,192]) ).
thf(329,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[304,141]) ).
thf(333,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV11: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV11 @ SX0 ) ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV11 @ y )
= $false ) ),
inference(res,[status(thm)],[304,116]) ).
thf(339,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV8: nat,SV9: nat,SV10: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( lessis @ SV8 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[304,44]) ).
thf(344,plain,
! [SV19: nat,SV20: nat,SV21: nat] :
( ( ( ( lessis @ SV21 @ SV20 )
= ( lessis @ z @ y ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true ) ),
inference(res,[status(thm)],[304,43]) ).
thf(346,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV6: nat,SV7: nat] :
( ( ( ( lessis @ SV21 @ SV20 )
= ( lessis @ SV6 @ SV7 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( moreis @ SV7 @ SV6 )
= $false ) ),
inference(res,[status(thm)],[304,37]) ).
thf(349,plain,
! [SV19: nat,SV20: nat,SV21: nat] :
( ( ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= ( diffprop @ x @ y @ sK1_E ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ z @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[304,36]) ).
thf(350,plain,
! [SV19: nat,SV20: nat,SV21: nat] :
( ( ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= ( diffprop @ x @ y @ sK1_E ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ z @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[304,36]) ).
thf(351,plain,
! [SV19: nat,SV20: nat,SV21: nat] :
( ( ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= ( diffprop @ x @ z @ sK1_E ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ y @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[304,36]) ).
thf(352,plain,
! [SV19: nat,SV20: nat,SV21: nat] :
( ( ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= ( diffprop @ x @ z @ sK1_E ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ y @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[304,36]) ).
thf(363,plain,
! [SV19: nat,SV20: nat,SV21: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= ( some
@ ^ [Xu: nat] : ( diffprop @ x @ y @ Xu ) ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true ) ),
inference(res,[status(thm)],[304,15]) ).
thf(365,plain,
! [SV21: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ y @ SV21 @ x ) )
= $true )
| ( ( diffprop @ x @ SV21 @ ( sK5_E @ y @ SV21 @ x ) )
= $true )
| ( ( lessis @ SV21 @ y )
= $false ) ),
inference(extuni,[status(esa)],[363:[bind(SV20,$thf( y )),bind(SV19,$thf( x ))]]) ).
thf(366,plain,
! [SV19: nat,SV21: nat,SV20: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV20 @ ( sK27_E @ SV21 @ SV20 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK27_E @ SV21 @ SV20 @ SV19 ) )
= $true ) ),
inference(extuni,[status(esa)],[363]) ).
thf(367,plain,
! [SV19: nat,SV21: nat,SV20: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV20 @ ( sK27_E @ SV21 @ SV20 @ SV19 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK27_E @ SV21 @ SV20 @ SV19 ) )
= $false ) ),
inference(extuni,[status(esa)],[363]) ).
thf(368,plain,
! [SV20: nat] :
( ( ( diffprop @ x @ y @ sK1_E )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ z @ x ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV20 @ SX0 ) )
= $false )
| ( ( lessis @ z @ SV20 )
= $false )
| ( ( ( sK5_E @ SV20 @ z @ x )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[352:[bind(SV21,$thf( z )),bind(SV19,$thf( x ))]]) ).
thf(369,plain,
! [SV20: nat,SV21: nat,SV19: nat] :
( ( ( diffprop @ x @ y @ sK1_E )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( ( sK5_E @ SV20 @ SV21 @ SV19 )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[351]) ).
thf(370,plain,
! [SV20: nat] :
( ( ( diffprop @ x @ z @ sK1_E )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ y @ x ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV20 @ SX0 ) )
= $false )
| ( ( lessis @ y @ SV20 )
= $false )
| ( ( ( sK5_E @ SV20 @ y @ x )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[350:[bind(SV21,$thf( y )),bind(SV19,$thf( x ))]]) ).
thf(371,plain,
! [SV20: nat,SV21: nat,SV19: nat] :
( ( ( diffprop @ x @ z @ sK1_E )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( ( sK5_E @ SV20 @ SV21 @ SV19 )
= sK1_E )
= $false )
| ( ( z = y )
= $false ) ),
inference(extuni,[status(esa)],[349]) ).
thf(372,plain,
! [SV19: nat,SV6: nat,SV7: nat] :
( ( ( moreis @ SV7 @ SV6 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV7 @ SV6 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV6 @ ( sK5_E @ SV7 @ SV6 @ SV19 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV7 @ SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[346:[bind(SV20,$thf( SV7 )),bind(SV21,$thf( SV6 ))]]) ).
thf(373,plain,
! [SV19: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ y @ z @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ z @ ( sK5_E @ y @ z @ SV19 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ y @ SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[344:[bind(SV20,$thf( y )),bind(SV21,$thf( z ))]]) ).
thf(374,plain,
! [SV21: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV8 @ SV21 @ SV10 ) )
= $true )
| ( ( diffprop @ SV10 @ SV21 @ ( sK5_E @ SV8 @ SV21 @ SV10 ) )
= $true )
| ( ( lessis @ SV21 @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[339:[bind(SV20,$thf( SV8 )),bind(SV19,$thf( SV10 ))]]) ).
thf(375,plain,
! [SV19: nat,SV21: nat,SV20: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV20 @ ( sK28_E @ SV9 @ SV21 @ SV8 @ SV10 @ SV20 @ SV19 ) )
= $true )
| ( ( diffprop @ SV10 @ SV8 @ ( sK28_E @ SV9 @ SV21 @ SV8 @ SV10 @ SV20 @ SV19 ) )
= $true ) ),
inference(extuni,[status(esa)],[339]) ).
thf(376,plain,
! [SV19: nat,SV21: nat,SV20: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV20 @ ( sK28_E @ SV9 @ SV21 @ SV8 @ SV10 @ SV20 @ SV19 ) )
= $false )
| ( ( diffprop @ SV10 @ SV8 @ ( sK28_E @ SV9 @ SV21 @ SV8 @ SV10 @ SV20 @ SV19 ) )
= $false ) ),
inference(extuni,[status(esa)],[339]) ).
thf(377,plain,
! [SV21: nat,SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV11 @ SV21 @ x ) )
= $true )
| ( ( diffprop @ x @ SV21 @ ( sK5_E @ SV11 @ SV21 @ x ) )
= $true )
| ( ( lessis @ SV21 @ SV11 )
= $false ) ),
inference(extuni,[status(esa)],[333:[bind(SV20,$thf( SV11 )),bind(SV19,$thf( x ))]]) ).
thf(378,plain,
! [SV19: nat,SV21: nat,SV20: nat,SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV20 @ ( sK29_E @ SV21 @ SV11 @ SV20 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ SV11 @ ( sK29_E @ SV21 @ SV11 @ SV20 @ SV19 ) )
= $true ) ),
inference(extuni,[status(esa)],[333]) ).
thf(379,plain,
! [SV19: nat,SV21: nat,SV20: nat,SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV20 @ ( sK29_E @ SV21 @ SV11 @ SV20 @ SV19 ) )
= $false )
| ( ( diffprop @ x @ SV11 @ ( sK29_E @ SV21 @ SV11 @ SV20 @ SV19 ) )
= $false ) ),
inference(extuni,[status(esa)],[333]) ).
thf(380,plain,
! [SV21: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV14 @ SV21 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV21 @ ( sK5_E @ SV14 @ SV21 @ SV12 ) )
= $true )
| ( ( lessis @ SV21 @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[329:[bind(SV20,$thf( SV14 )),bind(SV19,$thf( SV12 ))]]) ).
thf(381,plain,
! [SV19: nat,SV21: nat,SV20: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV20 @ ( sK30_E @ SV13 @ SV21 @ SV14 @ SV12 @ SV20 @ SV19 ) )
= $true )
| ( ( diffprop @ SV12 @ SV14 @ ( sK30_E @ SV13 @ SV21 @ SV14 @ SV12 @ SV20 @ SV19 ) )
= $true ) ),
inference(extuni,[status(esa)],[329]) ).
thf(382,plain,
! [SV19: nat,SV21: nat,SV20: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV20 @ ( sK30_E @ SV13 @ SV21 @ SV14 @ SV12 @ SV20 @ SV19 ) )
= $false )
| ( ( diffprop @ SV12 @ SV14 @ ( sK30_E @ SV13 @ SV21 @ SV14 @ SV12 @ SV20 @ SV19 ) )
= $false ) ),
inference(extuni,[status(esa)],[329]) ).
thf(383,plain,
! [SV21: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV17 @ SV21 @ SV15 ) )
= $true )
| ( ( diffprop @ SV15 @ SV21 @ ( sK5_E @ SV17 @ SV21 @ SV15 ) )
= $true )
| ( ( lessis @ SV21 @ SV17 )
= $false ) ),
inference(extuni,[status(esa)],[321:[bind(SV20,$thf( SV17 )),bind(SV19,$thf( SV15 ))]]) ).
thf(384,plain,
! [SV19: nat,SV21: nat,SV20: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV20 @ ( sK31_E @ SV16 @ SV21 @ SV17 @ SV15 @ SV20 @ SV19 ) )
= $true )
| ( ( diffprop @ SV15 @ SV17 @ ( sK31_E @ SV16 @ SV21 @ SV17 @ SV15 @ SV20 @ SV19 ) )
= $true ) ),
inference(extuni,[status(esa)],[321]) ).
thf(385,plain,
! [SV19: nat,SV21: nat,SV20: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV20 @ ( sK31_E @ SV16 @ SV21 @ SV17 @ SV15 @ SV20 @ SV19 ) )
= $false )
| ( ( diffprop @ SV15 @ SV17 @ ( sK31_E @ SV16 @ SV21 @ SV17 @ SV15 @ SV20 @ SV19 ) )
= $false ) ),
inference(extuni,[status(esa)],[321]) ).
thf(386,plain,
! [SV20: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV16 @ SV15 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV20 @ SX0 ) )
= $false )
| ( ( lessis @ SV16 @ SV20 )
= $false )
| ( ( ( sK5_E @ SV20 @ SV16 @ SV15 )
= ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false ) ),
inference(extuni,[status(esa)],[320:[bind(SV21,$thf( SV16 )),bind(SV19,$thf( SV15 ))]]) ).
thf(387,plain,
! [SV20: nat,SV21: nat,SV19: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ z @ x ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV17 @ SX0 ) )
= $true )
| ( ( lessis @ SV17 @ z )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( ( sK5_E @ SV20 @ SV21 @ SV19 )
= ( sK4_E @ SV17 @ z @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[319:[bind(SV16,$thf( z )),bind(SV15,$thf( x ))]]) ).
thf(388,plain,
! [SV20: nat,SV17: nat,SV16: nat,SV15: nat] :
( ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ y @ x ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV20 @ SX0 ) )
= $false )
| ( ( lessis @ y @ SV20 )
= $false )
| ( ( ( sK5_E @ SV20 @ y @ x )
= ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false ) ),
inference(extuni,[status(esa)],[318:[bind(SV21,$thf( y )),bind(SV19,$thf( x ))]]) ).
thf(389,plain,
! [SV20: nat,SV21: nat,SV19: nat,SV17: nat,SV16: nat,SV15: nat] :
( ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) )
= $true )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( ( sK5_E @ SV20 @ SV21 @ SV19 )
= ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( z = y )
= $false ) ),
inference(extuni,[status(esa)],[317]) ).
thf(390,plain,
! [SV22: nat,SV23: nat,SV24: nat] :
( ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false ) ),
inference(rename,[status(thm)],[62]) ).
thf(391,plain,
! [SV22: nat,SV23: nat,SV24: nat,SV19: nat,SV20: nat,SV21: nat] :
( ( ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true ) ),
inference(res,[status(thm)],[390,304]) ).
thf(392,plain,
! [SV22: nat,SV23: nat,SV24: nat,SV19: nat,SV20: nat,SV21: nat] :
( ( ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true ) ),
inference(res,[status(thm)],[390,304]) ).
thf(395,plain,
! [SV22: nat,SV23: nat,SV24: nat,SV19: nat,SV20: nat,SV21: nat] :
( ( ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true ) ),
inference(res,[status(thm)],[390,304]) ).
thf(396,plain,
! [SV22: nat,SV23: nat,SV24: nat,SV19: nat,SV20: nat,SV21: nat] :
( ( ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true ) ),
inference(res,[status(thm)],[390,304]) ).
thf(401,plain,
! [SV22: nat,SV23: nat,SV24: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false ) ),
inference(res,[status(thm)],[390,192]) ).
thf(403,plain,
! [SV22: nat,SV23: nat,SV24: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[390,141]) ).
thf(404,plain,
! [SV22: nat,SV23: nat,SV24: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[390,141]) ).
thf(407,plain,
! [SV22: nat,SV23: nat,SV24: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[390,141]) ).
thf(408,plain,
! [SV22: nat,SV23: nat,SV24: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[390,141]) ).
thf(413,plain,
! [SV22: nat,SV23: nat,SV24: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[390,141]) ).
thf(417,plain,
! [SV22: nat,SV23: nat,SV24: nat,SV11: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV11 @ SX0 ) ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV11 @ y )
= $false ) ),
inference(res,[status(thm)],[390,116]) ).
thf(421,plain,
! [SV22: nat,SV23: nat,SV24: nat,SV8: nat,SV9: nat,SV10: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( lessis @ SV8 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[390,44]) ).
thf(426,plain,
! [SV22: nat,SV23: nat,SV24: nat] :
( ( ( ( lessis @ SV24 @ SV23 )
= ( lessis @ z @ y ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false ) ),
inference(res,[status(thm)],[390,43]) ).
thf(430,plain,
! [SV22: nat,SV23: nat,SV24: nat,SV6: nat,SV7: nat] :
( ( ( ( lessis @ SV24 @ SV23 )
= ( lessis @ SV6 @ SV7 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( moreis @ SV7 @ SV6 )
= $false ) ),
inference(res,[status(thm)],[390,37]) ).
thf(431,plain,
! [SV22: nat,SV23: nat,SV24: nat] :
( ( ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= ( diffprop @ x @ y @ sK1_E ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ z @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[390,35]) ).
thf(432,plain,
! [SV22: nat,SV23: nat,SV24: nat] :
( ( ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= ( diffprop @ x @ y @ sK1_E ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ z @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[390,35]) ).
thf(435,plain,
! [SV22: nat,SV23: nat,SV24: nat] :
( ( ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= ( diffprop @ x @ z @ sK1_E ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ y @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[390,35]) ).
thf(436,plain,
! [SV22: nat,SV23: nat,SV24: nat] :
( ( ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= ( diffprop @ x @ z @ sK1_E ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ y @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[390,35]) ).
thf(445,plain,
! [SV22: nat,SV23: nat,SV24: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= ( some
@ ^ [Xu: nat] : ( diffprop @ x @ y @ Xu ) ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false ) ),
inference(res,[status(thm)],[390,15]) ).
thf(447,plain,
! [SV24: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ y @ SV24 @ x ) )
= $false )
| ( ( diffprop @ x @ SV24 @ ( sK5_E @ y @ SV24 @ x ) )
= $false )
| ( ( lessis @ SV24 @ y )
= $false ) ),
inference(extuni,[status(esa)],[445:[bind(SV23,$thf( y )),bind(SV22,$thf( x ))]]) ).
thf(448,plain,
! [SV22: nat,SV24: nat,SV23: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV23 @ ( sK36_E @ SV24 @ SV23 @ SV22 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK36_E @ SV24 @ SV23 @ SV22 ) )
= $true ) ),
inference(extuni,[status(esa)],[445]) ).
thf(449,plain,
! [SV22: nat,SV24: nat,SV23: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV23 @ ( sK36_E @ SV24 @ SV23 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK36_E @ SV24 @ SV23 @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[445]) ).
thf(450,plain,
! [SV23: nat] :
( ( ( diffprop @ x @ y @ sK1_E )
= $true )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ z @ x ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV23 @ SX0 ) )
= $false )
| ( ( lessis @ z @ SV23 )
= $false )
| ( ( ( sK5_E @ SV23 @ z @ x )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[436:[bind(SV24,$thf( z )),bind(SV22,$thf( x ))]]) ).
thf(451,plain,
! [SV23: nat,SV24: nat,SV22: nat] :
( ( ( diffprop @ x @ y @ sK1_E )
= $true )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( ( sK5_E @ SV23 @ SV24 @ SV22 )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[435]) ).
thf(452,plain,
! [SV23: nat] :
( ( ( diffprop @ x @ z @ sK1_E )
= $true )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ y @ x ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV23 @ SX0 ) )
= $false )
| ( ( lessis @ y @ SV23 )
= $false )
| ( ( ( sK5_E @ SV23 @ y @ x )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[432:[bind(SV24,$thf( y )),bind(SV22,$thf( x ))]]) ).
thf(453,plain,
! [SV23: nat,SV24: nat,SV22: nat] :
( ( ( diffprop @ x @ z @ sK1_E )
= $true )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( ( sK5_E @ SV23 @ SV24 @ SV22 )
= sK1_E )
= $false )
| ( ( z = y )
= $false ) ),
inference(extuni,[status(esa)],[431]) ).
thf(454,plain,
! [SV22: nat,SV6: nat,SV7: nat] :
( ( ( moreis @ SV7 @ SV6 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV7 @ SV6 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV6 @ ( sK5_E @ SV7 @ SV6 @ SV22 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV7 @ SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[430:[bind(SV23,$thf( SV7 )),bind(SV24,$thf( SV6 ))]]) ).
thf(455,plain,
! [SV22: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ y @ z @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ z @ ( sK5_E @ y @ z @ SV22 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ y @ SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[426:[bind(SV23,$thf( y )),bind(SV24,$thf( z ))]]) ).
thf(456,plain,
! [SV24: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV8 @ SV24 @ SV10 ) )
= $false )
| ( ( diffprop @ SV10 @ SV24 @ ( sK5_E @ SV8 @ SV24 @ SV10 ) )
= $false )
| ( ( lessis @ SV24 @ SV8 )
= $false ) ),
inference(extuni,[status(esa)],[421:[bind(SV23,$thf( SV8 )),bind(SV22,$thf( SV10 ))]]) ).
thf(457,plain,
! [SV22: nat,SV24: nat,SV23: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV23 @ ( sK37_E @ SV9 @ SV24 @ SV8 @ SV10 @ SV23 @ SV22 ) )
= $true )
| ( ( diffprop @ SV10 @ SV8 @ ( sK37_E @ SV9 @ SV24 @ SV8 @ SV10 @ SV23 @ SV22 ) )
= $true ) ),
inference(extuni,[status(esa)],[421]) ).
thf(458,plain,
! [SV22: nat,SV24: nat,SV23: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV23 @ ( sK37_E @ SV9 @ SV24 @ SV8 @ SV10 @ SV23 @ SV22 ) )
= $false )
| ( ( diffprop @ SV10 @ SV8 @ ( sK37_E @ SV9 @ SV24 @ SV8 @ SV10 @ SV23 @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[421]) ).
thf(459,plain,
! [SV24: nat,SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV11 @ SV24 @ x ) )
= $false )
| ( ( diffprop @ x @ SV24 @ ( sK5_E @ SV11 @ SV24 @ x ) )
= $false )
| ( ( lessis @ SV24 @ SV11 )
= $false ) ),
inference(extuni,[status(esa)],[417:[bind(SV23,$thf( SV11 )),bind(SV22,$thf( x ))]]) ).
thf(460,plain,
! [SV22: nat,SV24: nat,SV23: nat,SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV23 @ ( sK38_E @ SV24 @ SV11 @ SV23 @ SV22 ) )
= $true )
| ( ( diffprop @ x @ SV11 @ ( sK38_E @ SV24 @ SV11 @ SV23 @ SV22 ) )
= $true ) ),
inference(extuni,[status(esa)],[417]) ).
thf(461,plain,
! [SV22: nat,SV24: nat,SV23: nat,SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV23 @ ( sK38_E @ SV24 @ SV11 @ SV23 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ SV11 @ ( sK38_E @ SV24 @ SV11 @ SV23 @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[417]) ).
thf(462,plain,
! [SV24: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV14 @ SV24 @ SV12 ) )
= $false )
| ( ( diffprop @ SV12 @ SV24 @ ( sK5_E @ SV14 @ SV24 @ SV12 ) )
= $false )
| ( ( lessis @ SV24 @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[413:[bind(SV23,$thf( SV14 )),bind(SV22,$thf( SV12 ))]]) ).
thf(463,plain,
! [SV22: nat,SV24: nat,SV23: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV23 @ ( sK39_E @ SV13 @ SV24 @ SV14 @ SV12 @ SV23 @ SV22 ) )
= $true )
| ( ( diffprop @ SV12 @ SV14 @ ( sK39_E @ SV13 @ SV24 @ SV14 @ SV12 @ SV23 @ SV22 ) )
= $true ) ),
inference(extuni,[status(esa)],[413]) ).
thf(464,plain,
! [SV22: nat,SV24: nat,SV23: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV23 @ ( sK39_E @ SV13 @ SV24 @ SV14 @ SV12 @ SV23 @ SV22 ) )
= $false )
| ( ( diffprop @ SV12 @ SV14 @ ( sK39_E @ SV13 @ SV24 @ SV14 @ SV12 @ SV23 @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[413]) ).
thf(465,plain,
! [SV23: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV13 @ SV12 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV23 @ SX0 ) )
= $false )
| ( ( lessis @ SV13 @ SV23 )
= $false )
| ( ( ( sK5_E @ SV23 @ SV13 @ SV12 )
= ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[408:[bind(SV24,$thf( SV13 )),bind(SV22,$thf( SV12 ))]]) ).
thf(466,plain,
! [SV23: nat,SV24: nat,SV22: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ z @ x ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV14 @ SX0 ) )
= $true )
| ( ( lessis @ SV14 @ z )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( ( sK5_E @ SV23 @ SV24 @ SV22 )
= ( sK4_E @ SV14 @ z @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[407:[bind(SV13,$thf( z )),bind(SV12,$thf( x ))]]) ).
thf(467,plain,
! [SV23: nat,SV14: nat,SV13: nat,SV12: nat] :
( ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ y @ x ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV23 @ SX0 ) )
= $false )
| ( ( lessis @ y @ SV23 )
= $false )
| ( ( ( sK5_E @ SV23 @ y @ x )
= ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[404:[bind(SV24,$thf( y )),bind(SV22,$thf( x ))]]) ).
thf(468,plain,
! [SV23: nat,SV24: nat,SV22: nat,SV14: nat,SV13: nat,SV12: nat] :
( ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( ( sK5_E @ SV23 @ SV24 @ SV22 )
= ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $false )
| ( ( z = y )
= $false ) ),
inference(extuni,[status(esa)],[403]) ).
thf(469,plain,
! [SV24: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV17 @ SV24 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV24 @ ( sK5_E @ SV17 @ SV24 @ SV15 ) )
= $false )
| ( ( lessis @ SV24 @ SV17 )
= $false ) ),
inference(extuni,[status(esa)],[401:[bind(SV23,$thf( SV17 )),bind(SV22,$thf( SV15 ))]]) ).
thf(470,plain,
! [SV22: nat,SV24: nat,SV23: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV23 @ ( sK40_E @ SV16 @ SV24 @ SV17 @ SV15 @ SV23 @ SV22 ) )
= $true )
| ( ( diffprop @ SV15 @ SV17 @ ( sK40_E @ SV16 @ SV24 @ SV17 @ SV15 @ SV23 @ SV22 ) )
= $true ) ),
inference(extuni,[status(esa)],[401]) ).
thf(471,plain,
! [SV22: nat,SV24: nat,SV23: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV23 @ ( sK40_E @ SV16 @ SV24 @ SV17 @ SV15 @ SV23 @ SV22 ) )
= $false )
| ( ( diffprop @ SV15 @ SV17 @ ( sK40_E @ SV16 @ SV24 @ SV17 @ SV15 @ SV23 @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[401]) ).
thf(473,plain,
! [SV23: nat,SV19: nat,SV21: nat,SV20: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV21 @ SV19 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV23 @ SX0 ) )
= $false )
| ( ( lessis @ SV21 @ SV23 )
= $false )
| ( ( ( sK5_E @ SV23 @ SV21 @ SV19 )
= ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $false ) ),
inference(extuni,[status(esa)],[396:[bind(SV24,$thf( SV21 )),bind(SV22,$thf( SV19 ))]]) ).
thf(475,plain,
! [SV23: nat,SV24: nat,SV22: nat,SV20: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ z @ x ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV20 @ SX0 ) )
= $false )
| ( ( lessis @ z @ SV20 )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( ( sK5_E @ SV23 @ SV24 @ SV22 )
= ( sK5_E @ SV20 @ z @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[395:[bind(SV21,$thf( z )),bind(SV19,$thf( x ))]]) ).
thf(477,plain,
! [SV23: nat,SV20: nat,SV21: nat,SV19: nat] :
( ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ z @ x ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV23 @ SX0 ) )
= $false )
| ( ( lessis @ z @ SV23 )
= $false )
| ( ( ( sK5_E @ SV23 @ z @ x )
= ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $false ) ),
inference(extuni,[status(esa)],[392:[bind(SV24,$thf( z )),bind(SV22,$thf( x ))]]) ).
thf(479,plain,
! [SV23: nat,SV24: nat,SV22: nat,SV20: nat,SV21: nat,SV19: nat] :
( ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( ( sK5_E @ SV23 @ SV24 @ SV22 )
= ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $false ) ),
inference(extuni,[status(esa)],[391]) ).
thf(480,plain,
! [SV25: nat,SV26: nat,SV27: nat] :
( ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false ) ),
inference(rename,[status(thm)],[63]) ).
thf(481,plain,
! [SV25: nat,SV26: nat,SV27: nat,SV25: nat,SV26: nat,SV27: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true ) ),
inference(res,[status(thm)],[480,480]) ).
thf(482,plain,
! [SV25: nat,SV26: nat,SV27: nat,SV25: nat,SV26: nat,SV27: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false ) ),
inference(res,[status(thm)],[480,480]) ).
thf(487,plain,
! [SV25: nat,SV26: nat,SV27: nat,SV22: nat,SV23: nat,SV24: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV23 @ SX0 ) ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false ) ),
inference(res,[status(thm)],[480,390]) ).
thf(493,plain,
! [SV25: nat,SV26: nat,SV27: nat,SV19: nat,SV20: nat,SV21: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV20 @ SX0 ) ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true ) ),
inference(res,[status(thm)],[480,304]) ).
thf(495,plain,
! [SV25: nat,SV26: nat,SV27: nat,SV18: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV18 @ SX0 ) ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( lessis @ z @ SV18 )
= $false ) ),
inference(res,[status(thm)],[480,261]) ).
thf(499,plain,
! [SV25: nat,SV26: nat,SV27: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV17 @ SX0 ) ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false ) ),
inference(res,[status(thm)],[480,192]) ).
thf(506,plain,
! [SV25: nat,SV26: nat,SV27: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV14 @ SX0 ) ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true ) ),
inference(res,[status(thm)],[480,141]) ).
thf(509,plain,
! [SV25: nat,SV26: nat,SV27: nat,SV11: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV11 @ SX0 ) ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( lessis @ SV11 @ y )
= $false ) ),
inference(res,[status(thm)],[480,116]) ).
thf(513,plain,
! [SV25: nat,SV26: nat,SV27: nat,SV8: nat,SV9: nat,SV10: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( lessis @ SV8 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[480,44]) ).
thf(515,plain,
! [SV25: nat,SV26: nat,SV27: nat,SV8: nat,SV9: nat,SV10: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( lessis @ SV8 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[480,44]) ).
thf(528,plain,
! [SV25: nat,SV26: nat,SV27: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= ( some
@ ^ [Xu: nat] : ( diffprop @ x @ z @ Xu ) ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false ) ),
inference(res,[status(thm)],[480,22]) ).
thf(530,plain,
! [SV25: nat,SV26: nat,SV27: nat] :
( ( ( ( moreis @ SV27 @ SV26 )
= ( moreis @ y @ z ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false ) ),
inference(res,[status(thm)],[480,16]) ).
thf(531,plain,
! [SV25: nat,SV26: nat,SV27: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= ( some
@ ^ [Xu: nat] : ( diffprop @ x @ y @ Xu ) ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true ) ),
inference(res,[status(thm)],[480,15]) ).
thf(533,plain,
! [SV26: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ y @ SV26 )
= $false ) ),
inference(extuni,[status(esa)],[531:[bind(SV27,$thf( y )),bind(SV25,$thf( x ))]]) ).
thf(534,plain,
! [SV27: nat,SV26: nat,SV25: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK45_E @ SV26 @ SV27 @ SV25 ) )
= $true )
| ( ( diffprop @ x @ y @ ( sK45_E @ SV26 @ SV27 @ SV25 ) )
= $true ) ),
inference(extuni,[status(esa)],[531]) ).
thf(535,plain,
! [SV27: nat,SV26: nat,SV25: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK45_E @ SV26 @ SV27 @ SV25 ) )
= $false )
| ( ( diffprop @ x @ y @ ( sK45_E @ SV26 @ SV27 @ SV25 ) )
= $false ) ),
inference(extuni,[status(esa)],[531]) ).
thf(536,plain,
! [SV25: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ y @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ z @ SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[530:[bind(SV26,$thf( z )),bind(SV27,$thf( y ))]]) ).
thf(537,plain,
! [SV27: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ z )
= $false ) ),
inference(extuni,[status(esa)],[528:[bind(SV26,$thf( z )),bind(SV25,$thf( x ))]]) ).
thf(538,plain,
! [SV26: nat,SV27: nat,SV25: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK46_E @ SV27 @ SV26 @ SV25 ) )
= $true )
| ( ( diffprop @ x @ z @ ( sK46_E @ SV27 @ SV26 @ SV25 ) )
= $true ) ),
inference(extuni,[status(esa)],[528]) ).
thf(539,plain,
! [SV26: nat,SV27: nat,SV25: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK46_E @ SV27 @ SV26 @ SV25 ) )
= $false )
| ( ( diffprop @ x @ z @ ( sK46_E @ SV27 @ SV26 @ SV25 ) )
= $false ) ),
inference(extuni,[status(esa)],[528]) ).
thf(540,plain,
! [SV27: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV9 )
= $false ) ),
inference(extuni,[status(esa)],[515:[bind(SV26,$thf( SV9 )),bind(SV25,$thf( SV10 ))]]) ).
thf(541,plain,
! [SV26: nat,SV27: nat,SV25: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK47_E @ SV8 @ SV27 @ SV9 @ SV10 @ SV26 @ SV25 ) )
= $true )
| ( ( diffprop @ SV10 @ SV9 @ ( sK47_E @ SV8 @ SV27 @ SV9 @ SV10 @ SV26 @ SV25 ) )
= $true ) ),
inference(extuni,[status(esa)],[515]) ).
thf(542,plain,
! [SV26: nat,SV27: nat,SV25: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV8 @ SX0 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK47_E @ SV8 @ SV27 @ SV9 @ SV10 @ SV26 @ SV25 ) )
= $false )
| ( ( diffprop @ SV10 @ SV9 @ ( sK47_E @ SV8 @ SV27 @ SV9 @ SV10 @ SV26 @ SV25 ) )
= $false ) ),
inference(extuni,[status(esa)],[515]) ).
thf(543,plain,
! [SV26: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV8 @ SV26 )
= $false ) ),
inference(extuni,[status(esa)],[513:[bind(SV27,$thf( SV8 )),bind(SV25,$thf( SV10 ))]]) ).
thf(544,plain,
! [SV27: nat,SV26: nat,SV25: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK48_E @ SV9 @ SV26 @ SV8 @ SV10 @ SV27 @ SV25 ) )
= $true )
| ( ( diffprop @ SV10 @ SV8 @ ( sK48_E @ SV9 @ SV26 @ SV8 @ SV10 @ SV27 @ SV25 ) )
= $true ) ),
inference(extuni,[status(esa)],[513]) ).
thf(545,plain,
! [SV27: nat,SV26: nat,SV25: nat,SV10: nat,SV9: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV10 @ SV9 @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK48_E @ SV9 @ SV26 @ SV8 @ SV10 @ SV27 @ SV25 ) )
= $false )
| ( ( diffprop @ SV10 @ SV8 @ ( sK48_E @ SV9 @ SV26 @ SV8 @ SV10 @ SV27 @ SV25 ) )
= $false ) ),
inference(extuni,[status(esa)],[513]) ).
thf(546,plain,
! [SV26: nat,SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV11 @ SV26 )
= $false ) ),
inference(extuni,[status(esa)],[509:[bind(SV27,$thf( SV11 )),bind(SV25,$thf( x ))]]) ).
thf(547,plain,
! [SV27: nat,SV26: nat,SV25: nat,SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK49_E @ SV26 @ SV11 @ SV27 @ SV25 ) )
= $true )
| ( ( diffprop @ x @ SV11 @ ( sK49_E @ SV26 @ SV11 @ SV27 @ SV25 ) )
= $true ) ),
inference(extuni,[status(esa)],[509]) ).
thf(548,plain,
! [SV27: nat,SV26: nat,SV25: nat,SV11: nat] :
( ( ( lessis @ SV11 @ y )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK49_E @ SV26 @ SV11 @ SV27 @ SV25 ) )
= $false )
| ( ( diffprop @ x @ SV11 @ ( sK49_E @ SV26 @ SV11 @ SV27 @ SV25 ) )
= $false ) ),
inference(extuni,[status(esa)],[509]) ).
thf(549,plain,
! [SV26: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV14 @ SV26 )
= $false ) ),
inference(extuni,[status(esa)],[506:[bind(SV27,$thf( SV14 )),bind(SV25,$thf( SV12 ))]]) ).
thf(550,plain,
! [SV27: nat,SV26: nat,SV25: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK50_E @ SV13 @ SV26 @ SV14 @ SV12 @ SV27 @ SV25 ) )
= $true )
| ( ( diffprop @ SV12 @ SV14 @ ( sK50_E @ SV13 @ SV26 @ SV14 @ SV12 @ SV27 @ SV25 ) )
= $true ) ),
inference(extuni,[status(esa)],[506]) ).
thf(551,plain,
! [SV27: nat,SV26: nat,SV25: nat,SV12: nat,SV13: nat,SV14: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( diffprop @ SV12 @ SV13 @ ( sK4_E @ SV14 @ SV13 @ SV12 ) )
= $true )
| ( ( lessis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK50_E @ SV13 @ SV26 @ SV14 @ SV12 @ SV27 @ SV25 ) )
= $false )
| ( ( diffprop @ SV12 @ SV14 @ ( sK50_E @ SV13 @ SV26 @ SV14 @ SV12 @ SV27 @ SV25 ) )
= $false ) ),
inference(extuni,[status(esa)],[506]) ).
thf(552,plain,
! [SV26: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV15 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV17 @ SV26 )
= $false ) ),
inference(extuni,[status(esa)],[499:[bind(SV27,$thf( SV17 )),bind(SV25,$thf( SV15 ))]]) ).
thf(553,plain,
! [SV27: nat,SV26: nat,SV25: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK51_E @ SV16 @ SV26 @ SV17 @ SV15 @ SV27 @ SV25 ) )
= $true )
| ( ( diffprop @ SV15 @ SV17 @ ( sK51_E @ SV16 @ SV26 @ SV17 @ SV15 @ SV27 @ SV25 ) )
= $true ) ),
inference(extuni,[status(esa)],[499]) ).
thf(554,plain,
! [SV27: nat,SV26: nat,SV25: nat,SV15: nat,SV16: nat,SV17: nat] :
( ( ( diffprop @ x @ y @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( diffprop @ SV15 @ SV16 @ ( sK4_E @ SV17 @ SV16 @ SV15 ) )
= $false )
| ( ( lessis @ SV17 @ SV16 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK51_E @ SV16 @ SV26 @ SV17 @ SV15 @ SV27 @ SV25 ) )
= $false )
| ( ( diffprop @ SV15 @ SV17 @ ( sK51_E @ SV16 @ SV26 @ SV17 @ SV15 @ SV27 @ SV25 ) )
= $false ) ),
inference(extuni,[status(esa)],[499]) ).
thf(555,plain,
! [SV27: nat,SV18: nat] :
( ( ( lessis @ z @ SV18 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ x @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV18 )
= $false ) ),
inference(extuni,[status(esa)],[495:[bind(SV26,$thf( SV18 )),bind(SV25,$thf( x ))]]) ).
thf(556,plain,
! [SV26: nat,SV27: nat,SV25: nat,SV18: nat] :
( ( ( lessis @ z @ SV18 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK52_E @ SV27 @ SV18 @ SV26 @ SV25 ) )
= $true )
| ( ( diffprop @ x @ SV18 @ ( sK52_E @ SV27 @ SV18 @ SV26 @ SV25 ) )
= $true ) ),
inference(extuni,[status(esa)],[495]) ).
thf(557,plain,
! [SV26: nat,SV27: nat,SV25: nat,SV18: nat] :
( ( ( lessis @ z @ SV18 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK52_E @ SV27 @ SV18 @ SV26 @ SV25 ) )
= $false )
| ( ( diffprop @ x @ SV18 @ ( sK52_E @ SV27 @ SV18 @ SV26 @ SV25 ) )
= $false ) ),
inference(extuni,[status(esa)],[495]) ).
thf(558,plain,
! [SV27: nat,SV19: nat,SV21: nat,SV20: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV19 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV20 )
= $false ) ),
inference(extuni,[status(esa)],[493:[bind(SV26,$thf( SV20 )),bind(SV25,$thf( SV19 ))]]) ).
thf(559,plain,
! [SV26: nat,SV27: nat,SV25: nat,SV19: nat,SV21: nat,SV20: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK53_E @ SV21 @ SV27 @ SV20 @ SV19 @ SV26 @ SV25 ) )
= $true )
| ( ( diffprop @ SV19 @ SV20 @ ( sK53_E @ SV21 @ SV27 @ SV20 @ SV19 @ SV26 @ SV25 ) )
= $true ) ),
inference(extuni,[status(esa)],[493]) ).
thf(560,plain,
! [SV26: nat,SV27: nat,SV25: nat,SV19: nat,SV21: nat,SV20: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( diffprop @ SV19 @ SV21 @ ( sK5_E @ SV20 @ SV21 @ SV19 ) )
= $true )
| ( ( lessis @ SV21 @ SV20 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK53_E @ SV21 @ SV27 @ SV20 @ SV19 @ SV26 @ SV25 ) )
= $false )
| ( ( diffprop @ SV19 @ SV20 @ ( sK53_E @ SV21 @ SV27 @ SV20 @ SV19 @ SV26 @ SV25 ) )
= $false ) ),
inference(extuni,[status(esa)],[493]) ).
thf(561,plain,
! [SV27: nat,SV22: nat,SV24: nat,SV23: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV22 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV23 )
= $false ) ),
inference(extuni,[status(esa)],[487:[bind(SV26,$thf( SV23 )),bind(SV25,$thf( SV22 ))]]) ).
thf(562,plain,
! [SV26: nat,SV27: nat,SV25: nat,SV22: nat,SV24: nat,SV23: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK54_E @ SV24 @ SV27 @ SV23 @ SV22 @ SV26 @ SV25 ) )
= $true )
| ( ( diffprop @ SV22 @ SV23 @ ( sK54_E @ SV24 @ SV27 @ SV23 @ SV22 @ SV26 @ SV25 ) )
= $true ) ),
inference(extuni,[status(esa)],[487]) ).
thf(563,plain,
! [SV26: nat,SV27: nat,SV25: nat,SV22: nat,SV24: nat,SV23: nat] :
( ( ( diffprop @ x @ z @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( diffprop @ SV22 @ SV24 @ ( sK5_E @ SV23 @ SV24 @ SV22 ) )
= $false )
| ( ( lessis @ SV24 @ SV23 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK54_E @ SV24 @ SV27 @ SV23 @ SV22 @ SV26 @ SV25 ) )
= $false )
| ( ( diffprop @ SV22 @ SV23 @ ( sK54_E @ SV24 @ SV27 @ SV23 @ SV22 @ SV26 @ SV25 ) )
= $false ) ),
inference(extuni,[status(esa)],[487]) ).
thf(565,plain,
! [SV26: nat,SV27: nat,SV25: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK55_E @ SV26 @ SV27 @ SV25 ) )
= $true )
| ( ( diffprop @ SV25 @ SV26 @ ( sK55_E @ SV26 @ SV27 @ SV25 ) )
= $true ) ),
inference(extuni,[status(esa)],[482]) ).
thf(566,plain,
! [SV26: nat,SV27: nat,SV25: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK55_E @ SV26 @ SV27 @ SV25 ) )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK55_E @ SV26 @ SV27 @ SV25 ) )
= $false ) ),
inference(extuni,[status(esa)],[482]) ).
thf(568,plain,
! [SV27: nat,SV26: nat,SV25: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK56_E @ SV27 @ SV26 @ SV25 ) )
= $true )
| ( ( diffprop @ SV25 @ SV27 @ ( sK56_E @ SV27 @ SV26 @ SV25 ) )
= $true ) ),
inference(extuni,[status(esa)],[481]) ).
thf(569,plain,
! [SV27: nat,SV26: nat,SV25: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK56_E @ SV27 @ SV26 @ SV25 ) )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK56_E @ SV27 @ SV26 @ SV25 ) )
= $false ) ),
inference(extuni,[status(esa)],[481]) ).
thf(570,plain,
! [SV26: nat,SV27: nat,SV25: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( diffprop @ SV25 @ SV27 @ ( sK55_E @ SV26 @ SV27 @ SV25 ) )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK55_E @ SV26 @ SV27 @ SV25 ) )
= $false ) ),
inference(sim,[status(thm)],[566]) ).
thf(571,plain,
! [SV26: nat,SV27: nat,SV25: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( diffprop @ SV25 @ SV27 @ ( sK55_E @ SV26 @ SV27 @ SV25 ) )
= $true )
| ( ( diffprop @ SV25 @ SV26 @ ( sK55_E @ SV26 @ SV27 @ SV25 ) )
= $true ) ),
inference(sim,[status(thm)],[565]) ).
thf(572,plain,
! [SV27: nat,SV26: nat,SV25: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK56_E @ SV27 @ SV26 @ SV25 ) )
= $false )
| ( ( diffprop @ SV25 @ SV27 @ ( sK56_E @ SV27 @ SV26 @ SV25 ) )
= $false ) ),
inference(sim,[status(thm)],[569]) ).
thf(573,plain,
! [SV27: nat,SV26: nat,SV25: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV26 @ SX0 ) )
= $true )
| ( ( moreis @ SV27 @ SV26 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV25 @ SV27 @ SX0 ) )
= $false )
| ( ( diffprop @ SV25 @ SV26 @ ( sK56_E @ SV27 @ SV26 @ SV25 ) )
= $true )
| ( ( diffprop @ SV25 @ SV27 @ ( sK56_E @ SV27 @ SV26 @ SV25 ) )
= $true ) ),
inference(sim,[status(thm)],[568]) ).
thf(577,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,573,572,571,570,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,480,479,477,475,473,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,261,260,258,256,254,252,251,250,249,248,247,246,245,244,243,242,241,192,191,190,189,188,187,186,185,184,183,182,181,180,141,140,139,138,137,136,135,134,133,116,115,107,105,104,89,73,44,43,37,36,35,34,22,16]) ).
thf(578,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[577]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM666^1 : TPTP v8.1.0. Released v3.7.0.
% 0.13/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jul 7 03:37:34 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37
% 0.14/0.37 No.of.Axioms: 4
% 0.14/0.37
% 0.14/0.37 Length.of.Defs: 0
% 0.14/0.37
% 0.14/0.37 Contains.Choice.Funs: false
% 0.14/0.37 (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)................
% 12.14/12.41
% 12.14/12.41 ********************************
% 12.14/12.41 * All subproblems solved! *
% 12.14/12.41 ********************************
% 12.14/12.41 % SZS status Theorem for /export/starexec/sandbox/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)
% 12.26/12.50
% 12.26/12.50 %**** Beginning of derivation protocol ****
% 12.26/12.50 % SZS output start CNFRefutation
% See solution above
% 12.26/12.51
% 12.26/12.51 %**** End of derivation protocol ****
% 12.26/12.51 %**** no. of clauses in derivation: 295 ****
% 12.26/12.51 %**** clause counter: 577 ****
% 12.26/12.51
% 12.26/12.51 % SZS status Theorem for /export/starexec/sandbox/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)
%------------------------------------------------------------------------------