TSTP Solution File: NUM689^1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM689^1 : 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 : n019.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 11:54:16 EDT 2022
% Result : Theorem 78.98s 79.19s
% Output : CNFRefutation 78.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 36
% Syntax : Number of formulae : 180 ( 21 unt; 31 typ; 0 def)
% Number of atoms : 1828 ( 621 equ; 0 cnn)
% Maximal formula atoms : 7 ( 12 avg)
% Number of connectives : 3525 ( 21 ~; 399 |; 0 &;3102 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 59 ( 59 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 30 usr; 17 con; 0-8 aty)
% Number of variables : 611 ( 151 ^ 460 !; 0 ?; 611 :)
% 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_pl,type,
pl: nat > nat > nat ).
thf(tp_sK10_E,type,
sK10_E: nat > nat > nat ).
thf(tp_sK11_E,type,
sK11_E: nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK12_E,type,
sK12_E: nat ).
thf(tp_sK13_E,type,
sK13_E: nat ).
thf(tp_sK14_E,type,
sK14_E: nat > nat > nat > nat > nat ).
thf(tp_sK15_E,type,
sK15_E: nat > nat > nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK16_E,type,
sK16_E: nat ).
thf(tp_sK17_E,type,
sK17_E: nat ).
thf(tp_sK18_E,type,
sK18_E: 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 > nat > nat > nat ).
thf(tp_sK21_E,type,
sK21_E: nat > nat > nat > nat > nat > nat > nat > nat > nat ).
thf(tp_sK2_E,type,
sK2_E: nat ).
thf(tp_sK3_E,type,
sK3_E: nat ).
thf(tp_sK4_E,type,
sK4_E: nat > nat > nat > nat > nat ).
thf(tp_sK5_E,type,
sK5_E: nat > nat > nat > nat > nat ).
thf(tp_sK6_E,type,
sK6_E: nat > nat > nat > nat > nat ).
thf(tp_sK7_E,type,
sK7_E: nat > nat > nat > nat > nat ).
thf(tp_sK8_E,type,
sK8_E: nat ).
thf(tp_sK9_E,type,
sK9_E: nat ).
thf(tp_some,type,
some: ( nat > $o ) > $o ).
thf(tp_u,type,
u: nat ).
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] :
( ( lessis @ Xx @ Xy )
=> ( moreis @ Xy @ Xx ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz14) ).
thf(2,axiom,
! [Xx: nat,Xy: nat,Xz: nat,Xu: nat] :
( ( moreis @ Xx @ Xy )
=> ( ( some
@ ^ [Xu_0: nat] : ( diffprop @ Xz @ Xu @ Xu_0 ) )
=> ( some
@ ^ [Xu_0: nat] : ( diffprop @ ( pl @ Xx @ Xz ) @ ( pl @ Xy @ Xu ) @ Xu_0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz22a) ).
thf(3,axiom,
( some
@ ^ [Xv: nat] : ( diffprop @ u @ z @ Xv ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k) ).
thf(4,axiom,
lessis @ x @ y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
thf(5,conjecture,
( some
@ ^ [Xv: nat] : ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ Xv ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz22c) ).
thf(6,negated_conjecture,
( ( some
@ ^ [Xv: nat] : ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ Xv ) )
= $false ),
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,plain,
( ( ~ ( some
@ ^ [Xv: nat] : ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ Xv ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [Xx: nat,Xy: nat] :
( ~ ( lessis @ Xx @ Xy )
| ( moreis @ Xy @ Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[1]) ).
thf(9,plain,
( ( ! [Xx: nat,Xy: nat] :
( ~ ( moreis @ Xx @ Xy )
| ! [Xz: nat,Xu: nat] :
( ~ ( some
@ ^ [Xu_0: nat] : ( diffprop @ Xz @ Xu @ Xu_0 ) )
| ( some
@ ^ [Xu_0: nat] : ( diffprop @ ( pl @ Xx @ Xz ) @ ( pl @ Xy @ Xu ) @ Xu_0 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[2]) ).
thf(10,plain,
( ( lessis @ x @ y )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(11,plain,
( ( some
@ ^ [Xv: nat] : ( diffprop @ u @ z @ Xv ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [Xx: nat,Xy: nat] :
( ~ ( moreis @ Xx @ Xy )
| ! [Xz: nat,Xu: nat] :
( ~ ( some
@ ^ [Xu_0: nat] : ( diffprop @ Xz @ Xu @ Xu_0 ) )
| ( some
@ ^ [Xu_0: nat] : ( diffprop @ ( pl @ Xx @ Xz ) @ ( pl @ Xy @ Xu ) @ Xu_0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ! [Xx: nat,Xy: nat] :
( ~ ( lessis @ Xx @ Xy )
| ( moreis @ Xy @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(14,plain,
( ( ~ ( some
@ ^ [Xv: nat] : ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ Xv ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(15,plain,
! [SV1: nat] :
( ( ! [SY25: nat] :
( ~ ( moreis @ SV1 @ SY25 )
| ! [SY26: nat,SY27: nat] :
( ~ ( some
@ ^ [Xu_0: nat] : ( diffprop @ SY26 @ SY27 @ Xu_0 ) )
| ( some
@ ^ [SY29: nat] : ( diffprop @ ( pl @ SV1 @ SY26 ) @ ( pl @ SY25 @ SY27 ) @ SY29 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(16,plain,
! [SV2: nat] :
( ( ! [SY30: nat] :
( ~ ( lessis @ SV2 @ SY30 )
| ( moreis @ SY30 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(17,plain,
( ( some
@ ^ [Xv: nat] : ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ Xv ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV3: nat,SV1: nat] :
( ( ~ ( moreis @ SV1 @ SV3 )
| ! [SY31: nat,SY32: nat] :
( ~ ( some
@ ^ [Xu_0: nat] : ( diffprop @ SY31 @ SY32 @ Xu_0 ) )
| ( some
@ ^ [SY34: nat] : ( diffprop @ ( pl @ SV1 @ SY31 ) @ ( pl @ SV3 @ SY32 ) @ SY34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV4: nat,SV2: nat] :
( ( ~ ( lessis @ SV2 @ SV4 )
| ( moreis @ SV4 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
! [SV3: nat,SV1: nat] :
( ( ( ~ ( moreis @ SV1 @ SV3 ) )
= $true )
| ( ( ! [SY31: nat,SY32: nat] :
( ~ ( some
@ ^ [Xu_0: nat] : ( diffprop @ SY31 @ SY32 @ Xu_0 ) )
| ( some
@ ^ [SY34: nat] : ( diffprop @ ( pl @ SV1 @ SY31 ) @ ( pl @ SV3 @ SY32 ) @ SY34 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(21,plain,
! [SV4: nat,SV2: nat] :
( ( ( ~ ( lessis @ SV2 @ SV4 ) )
= $true )
| ( ( moreis @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV3: nat,SV1: nat] :
( ( ( moreis @ SV1 @ SV3 )
= $false )
| ( ( ! [SY31: nat,SY32: nat] :
( ~ ( some
@ ^ [Xu_0: nat] : ( diffprop @ SY31 @ SY32 @ Xu_0 ) )
| ( some
@ ^ [SY34: nat] : ( diffprop @ ( pl @ SV1 @ SY31 ) @ ( pl @ SV3 @ SY32 ) @ SY34 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV4: nat,SV2: nat] :
( ( ( lessis @ SV2 @ SV4 )
= $false )
| ( ( moreis @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV3: nat,SV1: nat,SV5: nat] :
( ( ( ! [SY35: nat] :
( ~ ( some
@ ^ [SY36: nat] : ( diffprop @ SV5 @ SY35 @ SY36 ) )
| ( some
@ ^ [SY37: nat] : ( diffprop @ ( pl @ SV1 @ SV5 ) @ ( pl @ SV3 @ SY35 ) @ SY37 ) ) ) )
= $true )
| ( ( moreis @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(25,plain,
! [SV3: nat,SV1: nat,SV6: nat,SV5: nat] :
( ( ( ~ ( some
@ ^ [SY38: nat] : ( diffprop @ SV5 @ SV6 @ SY38 ) )
| ( some
@ ^ [SY39: nat] : ( diffprop @ ( pl @ SV1 @ SV5 ) @ ( pl @ SV3 @ SV6 ) @ SY39 ) ) )
= $true )
| ( ( moreis @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(26,plain,
! [SV3: nat,SV1: nat,SV6: nat,SV5: nat] :
( ( ( ~ ( some
@ ^ [SY38: nat] : ( diffprop @ SV5 @ SV6 @ SY38 ) ) )
= $true )
| ( ( some
@ ^ [SY39: nat] : ( diffprop @ ( pl @ SV1 @ SV5 ) @ ( pl @ SV3 @ SV6 ) @ SY39 ) )
= $true )
| ( ( moreis @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(27,plain,
! [SV3: nat,SV1: nat,SV6: nat,SV5: nat] :
( ( ( some
@ ^ [SY38: nat] : ( diffprop @ SV5 @ SV6 @ SY38 ) )
= $false )
| ( ( some
@ ^ [SY39: nat] : ( diffprop @ ( pl @ SV1 @ SV5 ) @ ( pl @ SV3 @ SV6 ) @ SY39 ) )
= $true )
| ( ( moreis @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(28,plain,
( ( ( some
@ ^ [Xv: nat] : ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ Xv ) )
= ( some
@ ^ [Xv: nat] : ( diffprop @ u @ z @ Xv ) ) )
= $false ),
inference(res,[status(thm)],[17,11]) ).
thf(30,plain,
( ( ( ( pl @ x @ z )
= z )
= $false )
| ( ( ( pl @ y @ u )
= u )
= $false ) ),
inference(extuni,[status(esa)],[28]) ).
thf(31,plain,
( ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $true )
| ( ( diffprop @ u @ z @ sK1_E )
= $true ) ),
inference(extuni,[status(esa)],[28]) ).
thf(32,plain,
( ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $false )
| ( ( diffprop @ u @ z @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[28]) ).
thf(33,plain,
! [SV7: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV7 )
= $false )
| ( ( moreis @ SV7 @ SV8 )
= $true ) ),
inference(rename,[status(thm)],[23]) ).
thf(38,plain,
! [SV7: nat,SV8: nat] :
( ( ( ( lessis @ SV8 @ SV7 )
= ( lessis @ x @ y ) )
= $false )
| ( ( moreis @ SV7 @ SV8 )
= $true ) ),
inference(res,[status(thm)],[33,10]) ).
thf(39,plain,
( ( moreis @ y @ x )
= $true ),
inference(extuni,[status(esa)],[38:[bind(SV7,$thf( y )),bind(SV8,$thf( x ))]]) ).
thf(40,plain,
! [SV9: nat,SV10: nat,SV11: nat,SV12: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV10 @ SV9 )
= $false ) ),
inference(rename,[status(thm)],[27]) ).
thf(43,plain,
! [SV9: nat,SV10: nat,SV11: nat,SV12: nat,SV9: nat,SV10: nat,SV11: nat,SV12: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( moreis @ SV10 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[40,40]) ).
thf(44,plain,
! [SV9: nat,SV10: nat,SV11: nat,SV12: nat,SV9: nat,SV10: nat,SV11: nat,SV12: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV10 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[40,40]) ).
thf(45,plain,
! [SV9: nat,SV10: nat,SV11: nat,SV12: nat,SV7: nat,SV8: nat] :
( ( ( ( moreis @ SV10 @ SV9 )
= ( moreis @ SV7 @ SV8 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( lessis @ SV8 @ SV7 )
= $false ) ),
inference(res,[status(thm)],[40,33]) ).
thf(48,plain,
! [SV9: nat,SV10: nat,SV11: nat,SV12: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= ( some
@ ^ [Xv: nat] : ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ Xv ) ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( moreis @ SV10 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[40,17]) ).
thf(50,plain,
! [SV9: nat,SV10: nat,SV11: nat,SV12: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= ( some
@ ^ [Xv: nat] : ( diffprop @ u @ z @ Xv ) ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV10 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[40,11]) ).
thf(53,plain,
! [SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ u ) @ ( pl @ SV9 @ z ) @ SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[50:[bind(SV11,$thf( z )),bind(SV12,$thf( u ))]]) ).
thf(54,plain,
! [SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV11 @ ( sK4_E @ SV9 @ SV10 @ SV11 @ SV12 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV9 @ SV10 @ SV11 @ SV12 ) )
= $true ) ),
inference(extuni,[status(esa)],[50]) ).
thf(55,plain,
! [SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV11 @ ( sK4_E @ SV9 @ SV10 @ SV11 @ SV12 ) )
= $false )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV9 @ SV10 @ SV11 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[50]) ).
thf(56,plain,
( ( ( moreis @ y @ x )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ u @ z @ SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[48:[bind(SV11,$thf( z )),bind(SV9,$thf( x )),bind(SV12,$thf( u )),bind(SV10,$thf( y ))]]) ).
thf(57,plain,
! [SV11: nat,SV9: nat] :
( ( ( moreis @ y @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ u @ SV11 @ SX0 ) )
= $false )
| ( ( ( pl @ SV9 @ SV11 )
= ( pl @ x @ z ) )
= $false ) ),
inference(extuni,[status(esa)],[48:[bind(SV12,$thf( u )),bind(SV10,$thf( y ))]]) ).
thf(58,plain,
! [SV12: nat,SV10: nat] :
( ( ( moreis @ SV10 @ x )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ z @ SX0 ) )
= $false )
| ( ( ( pl @ SV10 @ SV12 )
= ( pl @ y @ u ) )
= $false ) ),
inference(extuni,[status(esa)],[48:[bind(SV11,$thf( z )),bind(SV9,$thf( x ))]]) ).
thf(59,plain,
! [SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( ( pl @ SV9 @ SV11 )
= ( pl @ x @ z ) )
= $false )
| ( ( ( pl @ SV10 @ SV12 )
= ( pl @ y @ u ) )
= $false ) ),
inference(extuni,[status(esa)],[48]) ).
thf(60,plain,
! [SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ ( sK5_E @ SV11 @ SV9 @ SV12 @ SV10 ) )
= $true )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ ( sK5_E @ SV11 @ SV9 @ SV12 @ SV10 ) )
= $true ) ),
inference(extuni,[status(esa)],[48]) ).
thf(61,plain,
! [SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ ( sK5_E @ SV11 @ SV9 @ SV12 @ SV10 ) )
= $false )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ ( sK5_E @ SV11 @ SV9 @ SV12 @ SV10 ) )
= $false ) ),
inference(extuni,[status(esa)],[48]) ).
thf(62,plain,
! [SV11: nat,SV12: nat,SV7: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV7 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV7 @ SV12 ) @ ( pl @ SV8 @ SV11 ) @ SX0 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[45:[bind(SV9,$thf( SV8 )),bind(SV10,$thf( SV7 ))]]) ).
thf(63,plain,
! [SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ ( sK6_E @ SV11 @ SV9 @ SV12 @ SV10 ) )
= $true )
| ( ( diffprop @ SV12 @ SV11 @ ( sK6_E @ SV11 @ SV9 @ SV12 @ SV10 ) )
= $true ) ),
inference(extuni,[status(esa)],[44]) ).
thf(64,plain,
! [SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ ( sK6_E @ SV11 @ SV9 @ SV12 @ SV10 ) )
= $false )
| ( ( diffprop @ SV12 @ SV11 @ ( sK6_E @ SV11 @ SV9 @ SV12 @ SV10 ) )
= $false ) ),
inference(extuni,[status(esa)],[44]) ).
thf(65,plain,
! [SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV11 @ ( sK7_E @ SV9 @ SV10 @ SV11 @ SV12 ) )
= $true )
| ( ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ ( sK7_E @ SV9 @ SV10 @ SV11 @ SV12 ) )
= $true ) ),
inference(extuni,[status(esa)],[43]) ).
thf(66,plain,
! [SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV11 @ ( sK7_E @ SV9 @ SV10 @ SV11 @ SV12 ) )
= $false )
| ( ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ ( sK7_E @ SV9 @ SV10 @ SV11 @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[43]) ).
thf(67,plain,
! [SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ ( sK6_E @ SV11 @ SV9 @ SV12 @ SV10 ) )
= $false )
| ( ( diffprop @ SV12 @ SV11 @ ( sK6_E @ SV11 @ SV9 @ SV12 @ SV10 ) )
= $false ) ),
inference(sim,[status(thm)],[64]) ).
thf(68,plain,
! [SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ ( sK6_E @ SV11 @ SV9 @ SV12 @ SV10 ) )
= $true )
| ( ( diffprop @ SV12 @ SV11 @ ( sK6_E @ SV11 @ SV9 @ SV12 @ SV10 ) )
= $true ) ),
inference(sim,[status(thm)],[63]) ).
thf(69,plain,
! [SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV11 @ ( sK7_E @ SV9 @ SV10 @ SV11 @ SV12 ) )
= $false )
| ( ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ ( sK7_E @ SV9 @ SV10 @ SV11 @ SV12 ) )
= $false ) ),
inference(sim,[status(thm)],[66]) ).
thf(70,plain,
! [SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV12 @ SV11 @ ( sK7_E @ SV9 @ SV10 @ SV11 @ SV12 ) )
= $true )
| ( ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ ( sK7_E @ SV9 @ SV10 @ SV11 @ SV12 ) )
= $true ) ),
inference(sim,[status(thm)],[65]) ).
thf(79,plain,
( ( ( ( pl @ y @ u )
= u )
= $false )
| ( ( ( ( pl @ x @ z )
= z )
= ( ( pl @ y @ u )
= u ) )
= $false ) ),
inference(fac_restr,[status(thm)],[30]) ).
thf(80,plain,
( ( ( ( pl @ x @ z )
= u )
= $false )
| ( ( z
= ( pl @ y @ u ) )
= $false )
| ( ( ( pl @ y @ u )
= u )
= $false ) ),
inference(extuni,[status(esa)],[79]) ).
thf(81,plain,
( ( ( z = u )
= $false )
| ( ( z = u )
= $false )
| ( ( x = y )
= $false )
| ( ( ( pl @ y @ u )
= u )
= $false ) ),
inference(extuni,[status(esa)],[79]) ).
thf(82,plain,
( ( ( z = u )
= $false )
| ( ( ( pl @ x @ z )
= ( pl @ y @ u ) )
= $false )
| ( ( ( pl @ y @ u )
= u )
= $false ) ),
inference(extuni,[status(esa)],[79]) ).
thf(83,plain,
( ( ( z = u )
= $false )
| ( ( x = y )
= $false )
| ( ( ( pl @ y @ u )
= u )
= $false ) ),
inference(sim,[status(thm)],[81]) ).
thf(96,plain,
( ( ( diffprop @ u @ z @ sK1_E )
= $true )
| ( ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= ( diffprop @ u @ z @ sK1_E ) )
= $false ) ),
inference(fac_restr,[status(thm)],[31]) ).
thf(97,plain,
( ( ( ( pl @ x @ z )
= z )
= $false )
| ( ( ( pl @ y @ u )
= u )
= $false )
| ( ( diffprop @ u @ z @ sK1_E )
= $true ) ),
inference(extuni,[status(esa)],[96]) ).
thf(103,plain,
( ( ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= ( diffprop @ u @ z @ sK1_E ) )
= $false )
| ( ( diffprop @ u @ z @ sK1_E )
= $false )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[32,31]) ).
thf(104,plain,
( ( ( ( diffprop @ u @ z @ sK1_E )
= ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E ) )
= $false )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $false )
| ( ( diffprop @ u @ z @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[32,31]) ).
thf(110,plain,
( ( ( diffprop @ u @ z @ sK1_E )
= $false )
| ( ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= ( diffprop @ u @ z @ sK1_E ) )
= $false ) ),
inference(fac_restr,[status(thm)],[32]) ).
thf(112,plain,
( ( ( diffprop @ u @ z @ sK1_E )
= $true )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $false )
| ( ( z
= ( pl @ x @ z ) )
= $false )
| ( ( u
= ( pl @ y @ u ) )
= $false ) ),
inference(extuni,[status(esa)],[104]) ).
thf(113,plain,
( ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $true )
| ( ( diffprop @ u @ z @ sK1_E )
= $false )
| ( ( ( pl @ x @ z )
= z )
= $false )
| ( ( ( pl @ y @ u )
= u )
= $false ) ),
inference(extuni,[status(esa)],[103]) ).
thf(115,plain,
( ( ( ( pl @ x @ z )
= z )
= $false )
| ( ( ( pl @ y @ u )
= u )
= $false )
| ( ( diffprop @ u @ z @ sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[110]) ).
thf(116,plain,
! [SV9: nat,SV10: nat,SV11: nat,SV12: nat] :
( ( ( ( moreis @ y @ x )
= ( moreis @ SV10 @ SV9 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true ) ),
inference(res,[status(thm)],[39,40]) ).
thf(124,plain,
! [SV11: nat,SV12: nat] :
( ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ y @ SV12 ) @ ( pl @ x @ SV11 ) @ SX0 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[116:[bind(SV9,$thf( x )),bind(SV10,$thf( y ))]]) ).
thf(125,plain,
! [SV13: nat,SV14: nat] :
( ( ( moreis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV14 @ u ) @ ( pl @ SV13 @ z ) @ SX0 ) )
= $true ) ),
inference(rename,[status(thm)],[53]) ).
thf(130,plain,
! [SV13: nat,SV14: nat,SV9: nat,SV10: nat,SV11: nat,SV12: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV14 @ u ) @ ( pl @ SV13 @ z ) @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) ) )
= $false )
| ( ( moreis @ SV14 @ SV13 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV10 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[125,40]) ).
thf(131,plain,
! [SV13: nat,SV14: nat] :
( ( ( ( moreis @ SV14 @ SV13 )
= ( moreis @ y @ x ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV14 @ u ) @ ( pl @ SV13 @ z ) @ SX0 ) )
= $true ) ),
inference(res,[status(thm)],[125,39]) ).
thf(132,plain,
! [SV13: nat,SV14: nat,SV7: nat,SV8: nat] :
( ( ( ( moreis @ SV14 @ SV13 )
= ( moreis @ SV7 @ SV8 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV14 @ u ) @ ( pl @ SV13 @ z ) @ SX0 ) )
= $true )
| ( ( lessis @ SV8 @ SV7 )
= $false ) ),
inference(res,[status(thm)],[125,33]) ).
thf(140,plain,
! [SV13: nat,SV14: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV14 @ u ) @ ( pl @ SV13 @ z ) @ SX0 ) )
= ( some
@ ^ [Xv: nat] : ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ Xv ) ) )
= $false )
| ( ( moreis @ SV14 @ SV13 )
= $false ) ),
inference(res,[status(thm)],[125,17]) ).
thf(143,plain,
( ( moreis @ y @ x )
= $false ),
inference(extuni,[status(esa)],[140:[bind(SV13,$thf( x )),bind(SV14,$thf( y ))]]) ).
thf(144,plain,
! [SV13: nat] :
( ( ( moreis @ y @ SV13 )
= $false )
| ( ( ( pl @ SV13 @ z )
= ( pl @ x @ z ) )
= $false ) ),
inference(extuni,[status(esa)],[140:[bind(SV14,$thf( y ))]]) ).
thf(145,plain,
! [SV14: nat] :
( ( ( moreis @ SV14 @ x )
= $false )
| ( ( ( pl @ SV14 @ u )
= ( pl @ y @ u ) )
= $false ) ),
inference(extuni,[status(esa)],[140:[bind(SV13,$thf( x ))]]) ).
thf(146,plain,
! [SV13: nat,SV14: nat] :
( ( ( moreis @ SV14 @ SV13 )
= $false )
| ( ( ( pl @ SV13 @ z )
= ( pl @ x @ z ) )
= $false )
| ( ( ( pl @ SV14 @ u )
= ( pl @ y @ u ) )
= $false ) ),
inference(extuni,[status(esa)],[140]) ).
thf(147,plain,
! [SV13: nat,SV14: nat] :
( ( ( moreis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ ( pl @ SV14 @ u ) @ ( pl @ SV13 @ z ) @ ( sK10_E @ SV13 @ SV14 ) )
= $true )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ ( sK10_E @ SV13 @ SV14 ) )
= $true ) ),
inference(extuni,[status(esa)],[140]) ).
thf(148,plain,
! [SV13: nat,SV14: nat] :
( ( ( moreis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ ( pl @ SV14 @ u ) @ ( pl @ SV13 @ z ) @ ( sK10_E @ SV13 @ SV14 ) )
= $false )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ ( sK10_E @ SV13 @ SV14 ) )
= $false ) ),
inference(extuni,[status(esa)],[140]) ).
thf(149,plain,
! [SV7: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV7 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV7 @ u ) @ ( pl @ SV8 @ z ) @ SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[132:[bind(SV13,$thf( SV8 )),bind(SV14,$thf( SV7 ))]]) ).
thf(150,plain,
( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ SX0 ) )
= $true ),
inference(extuni,[status(esa)],[131:[bind(SV13,$thf( x )),bind(SV14,$thf( y ))]]) ).
thf(151,plain,
! [SV13: nat,SV14: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ ( pl @ SV14 @ u ) ) @ ( pl @ SV9 @ ( pl @ SV13 @ z ) ) @ SX0 ) )
= $true )
| ( ( moreis @ SV14 @ SV13 )
= $false ) ),
inference(extuni,[status(esa)],[130:[bind(SV11,$thf( pl @ SV13 @ z )),bind(SV12,$thf( pl @ SV14 @ u ))]]) ).
thf(152,plain,
! [SV13: nat,SV14: nat,SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ ( pl @ SV14 @ u ) @ ( pl @ SV13 @ z ) @ ( sK11_E @ SV9 @ SV10 @ SV11 @ SV12 @ SV13 @ SV14 ) )
= $true )
| ( ( diffprop @ SV12 @ SV11 @ ( sK11_E @ SV9 @ SV10 @ SV11 @ SV12 @ SV13 @ SV14 ) )
= $true ) ),
inference(extuni,[status(esa)],[130]) ).
thf(153,plain,
! [SV13: nat,SV14: nat,SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV14 @ SV13 )
= $false )
| ( ( diffprop @ ( pl @ SV14 @ u ) @ ( pl @ SV13 @ z ) @ ( sK11_E @ SV9 @ SV10 @ SV11 @ SV12 @ SV13 @ SV14 ) )
= $false )
| ( ( diffprop @ SV12 @ SV11 @ ( sK11_E @ SV9 @ SV10 @ SV11 @ SV12 @ SV13 @ SV14 ) )
= $false ) ),
inference(extuni,[status(esa)],[130]) ).
thf(154,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV18: nat] :
( ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true ) ),
inference(rename,[status(thm)],[54]) ).
thf(171,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV18: nat,SV9: nat,SV10: nat,SV11: nat,SV12: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) ) )
= $false )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV10 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[154,40]) ).
thf(172,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV18: nat] :
( ( ( ( moreis @ SV18 @ SV17 )
= ( moreis @ y @ x ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true ) ),
inference(res,[status(thm)],[154,39]) ).
thf(173,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV18: nat,SV7: nat,SV8: nat] :
( ( ( ( moreis @ SV18 @ SV17 )
= ( moreis @ SV7 @ SV8 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( lessis @ SV8 @ SV7 )
= $false ) ),
inference(res,[status(thm)],[154,33]) ).
thf(177,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV18: nat] :
( ( ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= ( diffprop @ u @ z @ sK1_E ) )
= $false )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[154,32]) ).
thf(178,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV18: nat] :
( ( ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= ( diffprop @ u @ z @ sK1_E ) )
= $false )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[154,32]) ).
thf(180,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV18: nat] :
( ( ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E ) )
= $false )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ u @ z @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[154,32]) ).
thf(181,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV18: nat] :
( ( ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E ) )
= $false )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ u @ z @ sK1_E )
= $false ) ),
inference(res,[status(thm)],[154,32]) ).
thf(193,plain,
! [SV15: nat,SV16: nat,SV17: nat,SV18: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= ( some
@ ^ [Xv: nat] : ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ Xv ) ) )
= $false )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true ) ),
inference(res,[status(thm)],[154,17]) ).
thf(196,plain,
( ( ( diffprop @ u @ z @ ( sK4_E @ x @ y @ z @ u ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ x @ y @ z @ u ) )
= $true )
| ( ( moreis @ y @ x )
= $false ) ),
inference(extuni,[status(esa)],[193:[bind(SV15,$thf( z )),bind(SV17,$thf( x )),bind(SV16,$thf( u )),bind(SV18,$thf( y ))]]) ).
thf(197,plain,
! [SV15: nat,SV17: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ y @ SV15 @ u ) )
= $true )
| ( ( diffprop @ u @ SV15 @ ( sK4_E @ SV17 @ y @ SV15 @ u ) )
= $true )
| ( ( moreis @ y @ SV17 )
= $false )
| ( ( ( pl @ SV17 @ SV15 )
= ( pl @ x @ z ) )
= $false ) ),
inference(extuni,[status(esa)],[193:[bind(SV16,$thf( u )),bind(SV18,$thf( y ))]]) ).
thf(198,plain,
! [SV16: nat,SV18: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ x @ SV18 @ z @ SV16 ) )
= $true )
| ( ( diffprop @ SV16 @ z @ ( sK4_E @ x @ SV18 @ z @ SV16 ) )
= $true )
| ( ( moreis @ SV18 @ x )
= $false )
| ( ( ( pl @ SV18 @ SV16 )
= ( pl @ y @ u ) )
= $false ) ),
inference(extuni,[status(esa)],[193:[bind(SV15,$thf( z )),bind(SV17,$thf( x ))]]) ).
thf(199,plain,
! [SV16: nat,SV15: nat,SV18: nat,SV17: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( ( pl @ SV17 @ SV15 )
= ( pl @ x @ z ) )
= $false )
| ( ( ( pl @ SV18 @ SV16 )
= ( pl @ y @ u ) )
= $false ) ),
inference(extuni,[status(esa)],[193]) ).
thf(200,plain,
! [SV16: nat,SV15: nat,SV18: nat,SV17: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ ( sK14_E @ SV15 @ SV17 @ SV16 @ SV18 ) )
= $true )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ ( sK14_E @ SV15 @ SV17 @ SV16 @ SV18 ) )
= $true ) ),
inference(extuni,[status(esa)],[193]) ).
thf(201,plain,
! [SV16: nat,SV15: nat,SV18: nat,SV17: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ ( sK14_E @ SV15 @ SV17 @ SV16 @ SV18 ) )
= $false )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ ( sK14_E @ SV15 @ SV17 @ SV16 @ SV18 ) )
= $false ) ),
inference(extuni,[status(esa)],[193]) ).
thf(202,plain,
! [SV18: nat,SV17: nat] :
( ( ( diffprop @ u @ z @ sK1_E )
= $false )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ ( pl @ x @ z ) @ ( pl @ y @ u ) ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ ( pl @ y @ u ) ) @ ( pl @ SV17 @ ( pl @ x @ z ) ) @ SX0 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( ( sK4_E @ SV17 @ SV18 @ ( pl @ x @ z ) @ ( pl @ y @ u ) )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[181:[bind(SV15,$thf( pl @ x @ z )),bind(SV16,$thf( pl @ y @ u ))]]) ).
thf(203,plain,
! [SV18: nat,SV17: nat,SV15: nat,SV16: nat] :
( ( ( diffprop @ u @ z @ sK1_E )
= $false )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 )
= sK1_E )
= $false )
| ( ( z
= ( pl @ x @ z ) )
= $false )
| ( ( u
= ( pl @ y @ u ) )
= $false ) ),
inference(extuni,[status(esa)],[180]) ).
thf(204,plain,
! [SV18: nat,SV17: nat] :
( ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $false )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ z @ u ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ u ) @ ( pl @ SV17 @ z ) @ SX0 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( ( sK4_E @ SV17 @ SV18 @ z @ u )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[178:[bind(SV15,$thf( z )),bind(SV16,$thf( u ))]]) ).
thf(205,plain,
! [SV18: nat,SV17: nat,SV15: nat,SV16: nat] :
( ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $false )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[177]) ).
thf(206,plain,
! [SV16: nat,SV15: nat,SV7: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV7 )
= $false )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV8 @ SV7 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV8 @ SV7 @ SV15 @ SV16 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV7 @ SV16 ) @ ( pl @ SV8 @ SV15 ) @ SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[173:[bind(SV17,$thf( SV8 )),bind(SV18,$thf( SV7 ))]]) ).
thf(207,plain,
! [SV16: nat,SV15: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ x @ y @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ x @ y @ SV15 @ SV16 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ y @ SV16 ) @ ( pl @ x @ SV15 ) @ SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[172:[bind(SV17,$thf( x )),bind(SV18,$thf( y ))]]) ).
thf(208,plain,
! [SV15: nat,SV17: nat,SV16: nat,SV18: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ ( pl @ SV18 @ SV16 ) ) @ ( pl @ SV9 @ ( pl @ SV17 @ SV15 ) ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false ) ),
inference(extuni,[status(esa)],[171:[bind(SV11,$thf( pl @ SV17 @ SV15 )),bind(SV12,$thf( pl @ SV18 @ SV16 ))]]) ).
thf(209,plain,
! [SV16: nat,SV15: nat,SV18: nat,SV17: nat,SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ ( sK15_E @ SV9 @ SV10 @ SV11 @ SV12 @ SV15 @ SV17 @ SV16 @ SV18 ) )
= $true )
| ( ( diffprop @ SV12 @ SV11 @ ( sK15_E @ SV9 @ SV10 @ SV11 @ SV12 @ SV15 @ SV17 @ SV16 @ SV18 ) )
= $true ) ),
inference(extuni,[status(esa)],[171]) ).
thf(210,plain,
! [SV16: nat,SV15: nat,SV18: nat,SV17: nat,SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ ( sK15_E @ SV9 @ SV10 @ SV11 @ SV12 @ SV15 @ SV17 @ SV16 @ SV18 ) )
= $false )
| ( ( diffprop @ SV12 @ SV11 @ ( sK15_E @ SV9 @ SV10 @ SV11 @ SV12 @ SV15 @ SV17 @ SV16 @ SV18 ) )
= $false ) ),
inference(extuni,[status(esa)],[171]) ).
thf(211,plain,
( ( ( diffprop @ u @ z @ ( sK4_E @ x @ y @ z @ u ) )
= $true )
| ( ( moreis @ y @ x )
= $false ) ),
inference(sim,[status(thm)],[196]) ).
thf(212,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV22: nat] :
( ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false ) ),
inference(rename,[status(thm)],[55]) ).
thf(219,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV22: nat,SV15: nat,SV16: nat,SV17: nat,SV18: nat] :
( ( ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true ) ),
inference(res,[status(thm)],[212,154]) ).
thf(220,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV22: nat,SV15: nat,SV16: nat,SV17: nat,SV18: nat] :
( ( ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true ) ),
inference(res,[status(thm)],[212,154]) ).
thf(222,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV22: nat,SV15: nat,SV16: nat,SV17: nat,SV18: nat] :
( ( ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true ) ),
inference(res,[status(thm)],[212,154]) ).
thf(223,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV22: nat,SV15: nat,SV16: nat,SV17: nat,SV18: nat] :
( ( ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true ) ),
inference(res,[status(thm)],[212,154]) ).
thf(237,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV22: nat,SV9: nat,SV10: nat,SV11: nat,SV12: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= ( some
@ ^ [SX0: nat] : ( diffprop @ SV12 @ SV11 @ SX0 ) ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV10 @ SV9 )
= $false ) ),
inference(res,[status(thm)],[212,40]) ).
thf(240,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV22: nat] :
( ( ( ( moreis @ SV22 @ SV21 )
= ( moreis @ y @ x ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false ) ),
inference(res,[status(thm)],[212,39]) ).
thf(243,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV22: nat,SV7: nat,SV8: nat] :
( ( ( ( moreis @ SV22 @ SV21 )
= ( moreis @ SV7 @ SV8 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( lessis @ SV8 @ SV7 )
= $false ) ),
inference(res,[status(thm)],[212,33]) ).
thf(247,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV22: nat] :
( ( ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= ( diffprop @ u @ z @ sK1_E ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[212,31]) ).
thf(248,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV22: nat] :
( ( ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= ( diffprop @ u @ z @ sK1_E ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[212,31]) ).
thf(250,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV22: nat] :
( ( ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ u @ z @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[212,31]) ).
thf(251,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV22: nat] :
( ( ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ u @ z @ sK1_E )
= $true ) ),
inference(res,[status(thm)],[212,31]) ).
thf(255,plain,
! [SV19: nat,SV20: nat,SV21: nat,SV22: nat] :
( ( ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= ( some
@ ^ [Xv: nat] : ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ Xv ) ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false ) ),
inference(res,[status(thm)],[212,17]) ).
thf(262,plain,
( ( ( diffprop @ u @ z @ ( sK4_E @ x @ y @ z @ u ) )
= $false )
| ( ( diffprop @ u @ z @ ( sK4_E @ x @ y @ z @ u ) )
= $false )
| ( ( moreis @ y @ x )
= $false ) ),
inference(extuni,[status(esa)],[255:[bind(SV19,$thf( z )),bind(SV21,$thf( x )),bind(SV20,$thf( u )),bind(SV22,$thf( y ))]]) ).
thf(263,plain,
! [SV19: nat,SV21: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ y @ SV19 @ u ) )
= $false )
| ( ( diffprop @ u @ SV19 @ ( sK4_E @ SV21 @ y @ SV19 @ u ) )
= $false )
| ( ( moreis @ y @ SV21 )
= $false )
| ( ( ( pl @ SV21 @ SV19 )
= ( pl @ x @ z ) )
= $false ) ),
inference(extuni,[status(esa)],[255:[bind(SV20,$thf( u )),bind(SV22,$thf( y ))]]) ).
thf(264,plain,
! [SV20: nat,SV22: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ x @ SV22 @ z @ SV20 ) )
= $false )
| ( ( diffprop @ SV20 @ z @ ( sK4_E @ x @ SV22 @ z @ SV20 ) )
= $false )
| ( ( moreis @ SV22 @ x )
= $false )
| ( ( ( pl @ SV22 @ SV20 )
= ( pl @ y @ u ) )
= $false ) ),
inference(extuni,[status(esa)],[255:[bind(SV19,$thf( z )),bind(SV21,$thf( x ))]]) ).
thf(265,plain,
! [SV20: nat,SV19: nat,SV22: nat,SV21: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( ( pl @ SV21 @ SV19 )
= ( pl @ x @ z ) )
= $false )
| ( ( ( pl @ SV22 @ SV20 )
= ( pl @ y @ u ) )
= $false ) ),
inference(extuni,[status(esa)],[255]) ).
thf(266,plain,
! [SV20: nat,SV19: nat,SV22: nat,SV21: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ ( sK20_E @ SV19 @ SV21 @ SV20 @ SV22 ) )
= $true )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ ( sK20_E @ SV19 @ SV21 @ SV20 @ SV22 ) )
= $true ) ),
inference(extuni,[status(esa)],[255]) ).
thf(267,plain,
! [SV20: nat,SV19: nat,SV22: nat,SV21: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ ( sK20_E @ SV19 @ SV21 @ SV20 @ SV22 ) )
= $false )
| ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ ( sK20_E @ SV19 @ SV21 @ SV20 @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[255]) ).
thf(268,plain,
! [SV22: nat,SV21: nat] :
( ( ( diffprop @ u @ z @ sK1_E )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ ( pl @ x @ z ) @ ( pl @ y @ u ) ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ ( pl @ y @ u ) ) @ ( pl @ SV21 @ ( pl @ x @ z ) ) @ SX0 ) )
= $true )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( ( sK4_E @ SV21 @ SV22 @ ( pl @ x @ z ) @ ( pl @ y @ u ) )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[251:[bind(SV19,$thf( pl @ x @ z )),bind(SV20,$thf( pl @ y @ u ))]]) ).
thf(269,plain,
! [SV22: nat,SV21: nat,SV19: nat,SV20: nat] :
( ( ( diffprop @ u @ z @ sK1_E )
= $true )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 )
= sK1_E )
= $false )
| ( ( z
= ( pl @ x @ z ) )
= $false )
| ( ( u
= ( pl @ y @ u ) )
= $false ) ),
inference(extuni,[status(esa)],[250]) ).
thf(270,plain,
! [SV22: nat,SV21: nat] :
( ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ z @ u ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ u ) @ ( pl @ SV21 @ z ) @ SX0 ) )
= $true )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( ( sK4_E @ SV21 @ SV22 @ z @ u )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[248:[bind(SV19,$thf( z )),bind(SV20,$thf( u ))]]) ).
thf(271,plain,
! [SV22: nat,SV21: nat,SV19: nat,SV20: nat] :
( ( ( diffprop @ ( pl @ y @ u ) @ ( pl @ x @ z ) @ sK1_E )
= $true )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 )
= sK1_E )
= $false ) ),
inference(extuni,[status(esa)],[247]) ).
thf(272,plain,
! [SV20: nat,SV19: nat,SV7: nat,SV8: nat] :
( ( ( lessis @ SV8 @ SV7 )
= $false )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV8 @ SV7 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV8 @ SV7 @ SV19 @ SV20 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV7 @ SV20 ) @ ( pl @ SV8 @ SV19 ) @ SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[243:[bind(SV21,$thf( SV8 )),bind(SV22,$thf( SV7 ))]]) ).
thf(273,plain,
! [SV20: nat,SV19: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ x @ y @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ x @ y @ SV19 @ SV20 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ y @ SV20 ) @ ( pl @ x @ SV19 ) @ SX0 ) )
= $true ) ),
inference(extuni,[status(esa)],[240:[bind(SV21,$thf( x )),bind(SV22,$thf( y ))]]) ).
thf(274,plain,
! [SV19: nat,SV21: nat,SV20: nat,SV22: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ ( pl @ SV22 @ SV20 ) ) @ ( pl @ SV9 @ ( pl @ SV21 @ SV19 ) ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false ) ),
inference(extuni,[status(esa)],[237:[bind(SV11,$thf( pl @ SV21 @ SV19 )),bind(SV12,$thf( pl @ SV22 @ SV20 ))]]) ).
thf(275,plain,
! [SV20: nat,SV19: nat,SV22: nat,SV21: nat,SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ ( sK21_E @ SV9 @ SV10 @ SV11 @ SV12 @ SV19 @ SV21 @ SV20 @ SV22 ) )
= $true )
| ( ( diffprop @ SV12 @ SV11 @ ( sK21_E @ SV9 @ SV10 @ SV11 @ SV12 @ SV19 @ SV21 @ SV20 @ SV22 ) )
= $true ) ),
inference(extuni,[status(esa)],[237]) ).
thf(276,plain,
! [SV20: nat,SV19: nat,SV22: nat,SV21: nat,SV11: nat,SV12: nat,SV9: nat,SV10: nat] :
( ( ( moreis @ SV10 @ SV9 )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV10 @ SV12 ) @ ( pl @ SV9 @ SV11 ) @ SX0 ) )
= $true )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ ( sK21_E @ SV9 @ SV10 @ SV11 @ SV12 @ SV19 @ SV21 @ SV20 @ SV22 ) )
= $false )
| ( ( diffprop @ SV12 @ SV11 @ ( sK21_E @ SV9 @ SV10 @ SV11 @ SV12 @ SV19 @ SV21 @ SV20 @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[237]) ).
thf(278,plain,
! [SV22: nat,SV21: nat,SV16: nat,SV15: nat,SV18: nat,SV17: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ SV15 @ SV16 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV16 ) @ ( pl @ SV21 @ SV15 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( ( sK4_E @ SV21 @ SV22 @ SV15 @ SV16 )
= ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[223:[bind(SV19,$thf( SV15 )),bind(SV20,$thf( SV16 ))]]) ).
thf(280,plain,
! [SV22: nat,SV21: nat,SV19: nat,SV20: nat,SV18: nat,SV17: nat] :
( ( ( diffprop @ u @ z @ ( sK4_E @ SV17 @ SV18 @ z @ u ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ u ) @ ( pl @ SV17 @ z ) @ SX0 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 )
= ( sK4_E @ SV17 @ SV18 @ z @ u ) )
= $false ) ),
inference(extuni,[status(esa)],[222:[bind(SV15,$thf( z )),bind(SV16,$thf( u ))]]) ).
thf(282,plain,
! [SV22: nat,SV21: nat,SV18: nat,SV17: nat,SV15: nat,SV16: nat] :
( ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( diffprop @ u @ z @ ( sK4_E @ SV21 @ SV22 @ z @ u ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ u ) @ ( pl @ SV21 @ z ) @ SX0 ) )
= $true )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( ( sK4_E @ SV21 @ SV22 @ z @ u )
= ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[220:[bind(SV19,$thf( z )),bind(SV20,$thf( u ))]]) ).
thf(284,plain,
! [SV22: nat,SV21: nat,SV19: nat,SV20: nat,SV18: nat,SV17: nat,SV15: nat,SV16: nat] :
( ( ( diffprop @ SV16 @ SV15 @ ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV18 @ SV16 ) @ ( pl @ SV17 @ SV15 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV18 @ SV17 )
= $false )
| ( ( diffprop @ SV20 @ SV19 @ ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 ) )
= $false )
| ( ( some
@ ^ [SX0: nat] : ( diffprop @ ( pl @ SV22 @ SV20 ) @ ( pl @ SV21 @ SV19 ) @ SX0 ) )
= $true )
| ( ( moreis @ SV22 @ SV21 )
= $false )
| ( ( ( sK4_E @ SV21 @ SV22 @ SV19 @ SV20 )
= ( sK4_E @ SV17 @ SV18 @ SV15 @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[219]) ).
thf(285,plain,
( ( ( diffprop @ u @ z @ ( sK4_E @ x @ y @ z @ u ) )
= $false )
| ( ( moreis @ y @ x )
= $false ) ),
inference(sim,[status(thm)],[262]) ).
thf(286,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,285,284,282,280,278,276,275,274,273,272,271,270,269,268,267,266,265,264,263,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,154,153,152,151,150,149,148,147,146,145,144,143,125,124,115,113,112,97,83,82,80,70,69,68,67,62,61,60,59,58,57,56,40,39,33,32,31,30,17,11]) ).
thf(287,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM689^1 : TPTP v8.1.0. Released v3.7.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 16:59:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 4
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (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)..........................
% 75.09/75.27 (rf:0,axioms:4,ps:2,u:1,ude:false,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)........
% 78.98/79.19
% 78.98/79.19 ********************************
% 78.98/79.19 * All subproblems solved! *
% 78.98/79.19 ********************************
% 78.98/79.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:2,u:1,ude:false,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:286,loop_count:12,foatp_calls:3,translation:fof_full)
% 78.98/79.21
% 78.98/79.21 %**** Beginning of derivation protocol ****
% 78.98/79.21 % SZS output start CNFRefutation
% See solution above
% 78.98/79.21
% 78.98/79.21 %**** End of derivation protocol ****
% 78.98/79.21 %**** no. of clauses in derivation: 149 ****
% 78.98/79.21 %**** clause counter: 286 ****
% 78.98/79.21
% 78.98/79.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:2,u:1,ude:false,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:286,loop_count:12,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------