TSTP Solution File: SEV195^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV195^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 17:35:37 EDT 2022
% Result : Theorem 77.11s 77.36s
% Output : CNFRefutation 77.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 7
% Syntax : Number of formulae : 267 ( 87 unt; 6 typ; 0 def)
% Number of atoms : 1682 (1174 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 1725 ( 334 ~; 342 |; 21 &;1017 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 68 ( 68 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 782 ( 240 ^ 534 !; 8 ?; 782 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_cP,type,
cP: a > a > a ).
thf(tp_cZ,type,
cZ: a ).
thf(tp_sK1_Xx,type,
sK1_Xx: a ).
thf(tp_sK2_Xx,type,
sK2_Xx: ( a > $o ) > a ).
thf(tp_sK3_SY281,type,
sK3_SY281: ( a > $o ) > a ).
thf(1,conjecture,
( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
!= cZ )
& ! [Xx: a,Xy: a,Xu: a,Xv: a] :
( ( ( cP @ Xx @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx = Xy )
& ( Xu = Xv ) ) )
& ! [X: a > $o] :
( ( ( X @ cZ )
& ! [Xx: a,Xy: a] :
( ( ( X @ Xx )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx @ Xy ) ) ) )
=> ! [Xx: a] : ( X @ Xx ) ) )
=> ! [Xx: a] :
( ( Xx = cZ )
| ? [Xy: a,Xz: a] :
( Xx
= ( cP @ Xy @ Xz ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cS_LEM1D_pme) ).
thf(2,negated_conjecture,
( ( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
!= cZ )
& ! [Xx: a,Xy: a,Xu: a,Xv: a] :
( ( ( cP @ Xx @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx = Xy )
& ( Xu = Xv ) ) )
& ! [X: a > $o] :
( ( ( X @ cZ )
& ! [Xx: a,Xy: a] :
( ( ( X @ Xx )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx @ Xy ) ) ) )
=> ! [Xx: a] : ( X @ Xx ) ) )
=> ! [Xx: a] :
( ( Xx = cZ )
| ? [Xy: a,Xz: a] :
( Xx
= ( cP @ Xy @ Xz ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
!= cZ ) )
= $true ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: a,Xy: a,Xu: a,Xv: a] :
( ( ( cP @ Xx @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx = Xy )
& ( Xu = Xv ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(5,plain,
( ( ! [X: a > $o] :
( ( ( X @ cZ )
& ! [Xx: a,Xy: a] :
( ( ( X @ Xx )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx @ Xy ) ) ) )
=> ! [Xx: a] : ( X @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(6,plain,
( ( ! [Xx: a] :
( ( Xx = cZ )
| ? [Xy: a,Xz: a] :
( Xx
= ( cP @ Xy @ Xz ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(7,plain,
( ( ~ ! [Xx: a] :
( ( Xx = cZ )
| ? [Xy: a,Xz: a] :
( Xx
= ( cP @ Xy @ Xz ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ( sK1_Xx != cZ )
& ! [SY279: a,SY280: a] :
( sK1_Xx
!= ( cP @ SY279 @ SY280 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
!= cZ ) )
= $true ),
inference(extcnf_combined,[status(esa)],[3]) ).
thf(10,plain,
( ( ! [Xx: a,Xy: a] :
( ( ! [Xu: a,Xv: a] :
( ( cP @ Xx @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xx = Xy ) )
& ! [Xu: a,Xv: a] :
( ( ( cP @ Xx @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xu = Xv ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(11,plain,
( ( ! [X: a > $o] :
( ( ( X @ ( sK2_Xx @ X ) )
& ( X @ ( sK3_SY281 @ X ) )
& ~ ( X @ ( cP @ ( sK2_Xx @ X ) @ ( sK3_SY281 @ X ) ) ) )
| ~ ( X @ cZ )
| ! [Xx: a] : ( X @ Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(12,plain,
( ( ! [X: a > $o] :
( ( ( X @ ( sK2_Xx @ X ) )
& ( X @ ( sK3_SY281 @ X ) )
& ~ ( X @ ( cP @ ( sK2_Xx @ X ) @ ( sK3_SY281 @ X ) ) ) )
| ~ ( X @ cZ )
| ! [Xx: a] : ( X @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [Xx: a,Xy: a] :
( ( ! [Xu: a,Xv: a] :
( ( cP @ Xx @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xx = Xy ) )
& ! [Xu: a,Xv: a] :
( ( ( cP @ Xx @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xu = Xv ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(14,plain,
( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
!= cZ ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(15,plain,
( ( ( sK1_Xx != cZ )
& ! [SY279: a,SY280: a] :
( sK1_Xx
!= ( cP @ SY279 @ SY280 ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(16,plain,
( ( ! [SX0: a,SX1: a] :
~ ( ~ ( ! [SX2: a,SX3: a] :
( ( cP @ SX0 @ SX2 )
!= ( cP @ SX1 @ SX3 ) )
| ( SX0 = SX1 ) )
| ~ ! [SX2: a,SX3: a] :
( ( ( cP @ SX0 @ SX2 )
!= ( cP @ SX1 @ SX3 ) )
| ( SX2 = SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [SX0: a > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK2_Xx @ SX0 ) )
| ~ ( SX0 @ ( sK3_SY281 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( cP @ ( sK2_Xx @ SX0 ) @ ( sK3_SY281 @ SX0 ) ) ) )
| ~ ( SX0 @ cZ )
| ! [SX1: a] : ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(18,plain,
( ( ~ ( ~ ( ( sK1_Xx != cZ ) )
| ~ ! [SX0: a,SX1: a] :
( sK1_Xx
!= ( cP @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(19,plain,
! [SV1: a] :
( ( ! [SY282: a] :
( ( cP @ SV1 @ SY282 )
!= cZ ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(20,plain,
! [SV2: a] :
( ( ! [SY283: a] :
~ ( ~ ( ! [SY284: a,SY285: a] :
( ( cP @ SV2 @ SY284 )
!= ( cP @ SY283 @ SY285 ) )
| ( SV2 = SY283 ) )
| ~ ! [SY286: a,SY287: a] :
( ( ( cP @ SV2 @ SY286 )
!= ( cP @ SY283 @ SY287 ) )
| ( SY286 = SY287 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(21,plain,
! [SV3: a > $o] :
( ( ~ ( ~ ~ ( ~ ( SV3 @ ( sK2_Xx @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY281 @ SV3 ) ) )
| ~ ~ ( SV3 @ ( cP @ ( sK2_Xx @ SV3 ) @ ( sK3_SY281 @ SV3 ) ) ) )
| ~ ( SV3 @ cZ )
| ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ( ( sK1_Xx != cZ ) )
| ~ ! [SX0: a,SX1: a] :
( sK1_Xx
!= ( cP @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV4: a,SV1: a] :
( ( ( ( cP @ SV1 @ SV4 )
!= cZ ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV5: a,SV2: a] :
( ( ~ ( ~ ( ! [SY289: a,SY290: a] :
( ( cP @ SV2 @ SY289 )
!= ( cP @ SV5 @ SY290 ) )
| ( SV2 = SV5 ) )
| ~ ! [SY291: a,SY292: a] :
( ( ( cP @ SV2 @ SY291 )
!= ( cP @ SV5 @ SY292 ) )
| ( SY291 = SY292 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV3: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV3 @ ( sK2_Xx @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY281 @ SV3 ) ) )
| ~ ~ ( SV3 @ ( cP @ ( sK2_Xx @ SV3 ) @ ( sK3_SY281 @ SV3 ) ) ) )
| ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ( ( sK1_Xx != cZ ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ! [SX0: a,SX1: a] :
( sK1_Xx
!= ( cP @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(28,plain,
! [SV4: a,SV1: a] :
( ( ( cP @ SV1 @ SV4 )
= cZ )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(29,plain,
! [SV5: a,SV2: a] :
( ( ~ ( ! [SY289: a,SY290: a] :
( ( cP @ SV2 @ SY289 )
!= ( cP @ SV5 @ SY290 ) )
| ( SV2 = SV5 ) )
| ~ ! [SY291: a,SY292: a] :
( ( ( cP @ SV2 @ SY291 )
!= ( cP @ SV5 @ SY292 ) )
| ( SY291 = SY292 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV3: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV3 @ ( sK2_Xx @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY281 @ SV3 ) ) )
| ~ ~ ( SV3 @ ( cP @ ( sK2_Xx @ SV3 ) @ ( sK3_SY281 @ SV3 ) ) ) ) )
= $true )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(31,plain,
( ( ( sK1_Xx != cZ ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(32,plain,
( ( ! [SX0: a,SX1: a] :
( sK1_Xx
!= ( cP @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(33,plain,
! [SV5: a,SV2: a] :
( ( ~ ( ! [SY289: a,SY290: a] :
( ( cP @ SV2 @ SY289 )
!= ( cP @ SV5 @ SY290 ) )
| ( SV2 = SV5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV5: a,SV2: a] :
( ( ~ ! [SY291: a,SY292: a] :
( ( ( cP @ SV2 @ SY291 )
!= ( cP @ SV5 @ SY292 ) )
| ( SY291 = SY292 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(35,plain,
! [SV3: a > $o] :
( ( ( ~ ~ ( ~ ( SV3 @ ( sK2_Xx @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY281 @ SV3 ) ) )
| ~ ~ ( SV3 @ ( cP @ ( sK2_Xx @ SV3 ) @ ( sK3_SY281 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(36,plain,
( ( sK1_Xx = cZ )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(37,plain,
! [SV6: a] :
( ( ! [SY293: a] :
( sK1_Xx
!= ( cP @ SV6 @ SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV5: a,SV2: a] :
( ( ! [SY289: a,SY290: a] :
( ( cP @ SV2 @ SY289 )
!= ( cP @ SV5 @ SY290 ) )
| ( SV2 = SV5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(39,plain,
! [SV5: a,SV2: a] :
( ( ! [SY291: a,SY292: a] :
( ( ( cP @ SV2 @ SY291 )
!= ( cP @ SV5 @ SY292 ) )
| ( SY291 = SY292 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(40,plain,
! [SV3: a > $o] :
( ( ( ~ ~ ( ~ ( SV3 @ ( sK2_Xx @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY281 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(41,plain,
! [SV3: a > $o] :
( ( ( ~ ~ ( SV3 @ ( cP @ ( sK2_Xx @ SV3 ) @ ( sK3_SY281 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(42,plain,
! [SV7: a,SV6: a] :
( ( ( sK1_Xx
!= ( cP @ SV6 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV5: a,SV2: a] :
( ( ( ! [SY289: a,SY290: a] :
( ( cP @ SV2 @ SY289 )
!= ( cP @ SV5 @ SY290 ) ) )
= $true )
| ( ( SV2 = SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV5: a,SV8: a,SV2: a] :
( ( ! [SY294: a] :
( ( ( cP @ SV2 @ SV8 )
!= ( cP @ SV5 @ SY294 ) )
| ( SV8 = SY294 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV3: a > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK2_Xx @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY281 @ SV3 ) ) ) )
= $true )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(46,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ ( cP @ ( sK2_Xx @ SV3 ) @ ( sK3_SY281 @ SV3 ) ) ) )
= $true )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(47,plain,
! [SV7: a,SV6: a] :
( ( sK1_Xx
= ( cP @ SV6 @ SV7 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV5: a,SV9: a,SV2: a] :
( ( ( ! [SY295: a] :
( ( cP @ SV2 @ SV9 )
!= ( cP @ SV5 @ SY295 ) ) )
= $true )
| ( ( SV2 = SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV10: a,SV5: a,SV8: a,SV2: a] :
( ( ( ( cP @ SV2 @ SV8 )
!= ( cP @ SV5 @ SV10 ) )
| ( SV8 = SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK2_Xx @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY281 @ SV3 ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV3: a > $o] :
( ( ( SV3 @ ( cP @ ( sK2_Xx @ SV3 ) @ ( sK3_SY281 @ SV3 ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(52,plain,
! [SV11: a,SV5: a,SV9: a,SV2: a] :
( ( ( ( ( cP @ SV2 @ SV9 )
!= ( cP @ SV5 @ SV11 ) ) )
= $true )
| ( ( SV2 = SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(53,plain,
! [SV10: a,SV5: a,SV8: a,SV2: a] :
( ( ( ( ( cP @ SV2 @ SV8 )
!= ( cP @ SV5 @ SV10 ) ) )
= $true )
| ( ( SV8 = SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK2_Xx @ SV3 ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(55,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK3_SY281 @ SV3 ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(56,plain,
! [SV3: a > $o] :
( ( ( SV3 @ cZ )
= $false )
| ( ( SV3 @ ( cP @ ( sK2_Xx @ SV3 ) @ ( sK3_SY281 @ SV3 ) ) )
= $false )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(57,plain,
! [SV11: a,SV5: a,SV9: a,SV2: a] :
( ( ( ( cP @ SV2 @ SV9 )
= ( cP @ SV5 @ SV11 ) )
= $false )
| ( ( SV2 = SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(58,plain,
! [SV10: a,SV5: a,SV8: a,SV2: a] :
( ( ( ( cP @ SV2 @ SV8 )
= ( cP @ SV5 @ SV10 ) )
= $false )
| ( ( SV8 = SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(59,plain,
! [SV3: a > $o] :
( ( ( SV3 @ ( sK2_Xx @ SV3 ) )
= $true )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(60,plain,
! [SV3: a > $o] :
( ( ( SV3 @ ( sK3_SY281 @ SV3 ) )
= $true )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(61,plain,
! [SV12: a,SV3: a > $o] :
( ( ( SV3 @ SV12 )
= $true )
| ( ( SV3 @ ( cP @ ( sK2_Xx @ SV3 ) @ ( sK3_SY281 @ SV3 ) ) )
= $false )
| ( ( SV3 @ cZ )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(62,plain,
! [SV3: a > $o] :
( ( ( SV3 @ cZ )
= $false )
| ( ( SV3 @ ( sK2_Xx @ SV3 ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(63,plain,
! [SV3: a > $o] :
( ( ( SV3 @ cZ )
= $false )
| ( ( SV3 @ ( sK3_SY281 @ SV3 ) )
= $true )
| ( ( ! [SY288: a] : ( SV3 @ SY288 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(64,plain,
! [SV13: a,SV3: a > $o] :
( ( ( SV3 @ SV13 )
= $true )
| ( ( SV3 @ ( sK2_Xx @ SV3 ) )
= $true )
| ( ( SV3 @ cZ )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(65,plain,
! [SV14: a,SV3: a > $o] :
( ( ( SV3 @ SV14 )
= $true )
| ( ( SV3 @ ( sK3_SY281 @ SV3 ) )
= $true )
| ( ( SV3 @ cZ )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(66,plain,
! [SV12: a] :
( ( ( SV12 = cZ )
= $true )
| ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) ) )
= cZ )
= $false )
| ( ( cZ = cZ )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[61:[bind(SV3,$thf( ^ [SV15: a] : ( SV15 = cZ ) ))]]) ).
thf(67,plain,
! [SV12: a] :
( ( ( SV12 = cZ )
= $true )
| ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) ) )
= cZ )
= $false ) ),
inference(sim,[status(thm)],[66]) ).
thf(68,plain,
! [SV13: a] :
( ( ( SV13 = cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( cZ = cZ )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[64:[bind(SV3,$thf( ^ [SV16: a] : ( SV16 = cZ ) ))]]) ).
thf(69,plain,
! [SV13: a] :
( ( ( SV13 = cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(sim,[status(thm)],[68]) ).
thf(70,plain,
! [SV14: a] :
( ( ( SV14 = cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( cZ = cZ )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[65:[bind(SV3,$thf( ^ [SV17: a] : ( SV17 = cZ ) ))]]) ).
thf(71,plain,
! [SV14: a] :
( ( ( SV14 = cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(sim,[status(thm)],[70]) ).
thf(74,plain,
! [SV12: a,SV19: a > $o] :
( ( ( ~ ( SV19 @ SV12 ) )
= $true )
| ( ( ~ ( SV19
@ ( cP
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) )
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV19 @ cZ ) )
= $false ) ),
inference(prim_subst,[status(thm)],[61:[bind(SV3,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).
thf(77,plain,
! [SV13: a,SV19: a > $o] :
( ( ( ~ ( SV19 @ SV13 ) )
= $true )
| ( ( ~ ( SV19
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV19 @ cZ ) )
= $false ) ),
inference(prim_subst,[status(thm)],[64:[bind(SV3,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).
thf(80,plain,
! [SV14: a,SV19: a > $o] :
( ( ( ~ ( SV19 @ SV14 ) )
= $true )
| ( ( ~ ( SV19
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV19 @ cZ ) )
= $false ) ),
inference(prim_subst,[status(thm)],[65:[bind(SV3,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).
thf(81,plain,
! [SV13: a] :
( ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( SV13 = cZ )
= ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false ) ),
inference(fac_restr,[status(thm)],[69]) ).
thf(82,plain,
! [SV14: a] :
( ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( SV14 = cZ )
= ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false ) ),
inference(fac_restr,[status(thm)],[71]) ).
thf(83,plain,
! [SV13: a] :
( ( ( ~ ( ( SV13 = cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
| ~ ( ( SV13 != cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
!= cZ ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[81]) ).
thf(84,plain,
! [SV13: a] :
( ( ( ( SV13 = cZ )
= ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[81]) ).
thf(85,plain,
! [SV14: a] :
( ( ( ~ ( ( SV14 = cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
| ~ ( ( SV14 != cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
!= cZ ) ) )
= $false )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[82]) ).
thf(86,plain,
! [SV14: a] :
( ( ( ( SV14 = cZ )
= ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[82]) ).
thf(87,plain,
! [SV13: a] :
( ( ( ~ ( ( SV13 = cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(89,plain,
! [SV14: a] :
( ( ( ~ ( ( SV14 = cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) ) )
= $false )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(91,plain,
! [SV13: a] :
( ( ( ( SV13 = cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(93,plain,
! [SV14: a] :
( ( ( ( SV14 = cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(95,plain,
! [SV13: a] :
( ( ( SV13 = cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(97,plain,
! [SV14: a] :
( ( ( SV14 = cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(103,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( cZ
= ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) ) )
= $false ) ),
inference(extuni,[status(esa)],[84:[bind(SV13,$thf( cZ ))]]) ).
thf(104,plain,
( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ),
inference(extuni,[status(esa)],[84:[bind(SV13,$thf( sK2_Xx @ ^ [SX0: a] : ( SX0 = cZ ) ))]]) ).
thf(105,plain,
( ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( cZ
= ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) ) )
= $false ) ),
inference(extuni,[status(esa)],[86:[bind(SV14,$thf( cZ ))]]) ).
thf(106,plain,
( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ),
inference(extuni,[status(esa)],[86:[bind(SV14,$thf( sK3_SY281 @ ^ [SX0: a] : ( SX0 = cZ ) ))]]) ).
thf(109,plain,
! [SV12: a,SV19: a > $o] :
( ( ( SV19 @ SV12 )
= $false )
| ( ( ~ ( SV19
@ ( cP
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) )
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV19 @ cZ ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(110,plain,
! [SV13: a,SV19: a > $o] :
( ( ( SV19 @ SV13 )
= $false )
| ( ( ~ ( SV19
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV19 @ cZ ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(111,plain,
! [SV14: a,SV19: a > $o] :
( ( ( SV19 @ SV14 )
= $false )
| ( ( ~ ( SV19
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV19 @ cZ ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(112,plain,
! [SV12: a,SV19: a > $o] :
( ( ( SV19
@ ( cP
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) )
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) ) ) )
= $true )
| ( ( SV19 @ SV12 )
= $false )
| ( ( ~ ( SV19 @ cZ ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(113,plain,
! [SV13: a,SV19: a > $o] :
( ( ( SV19
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) ) )
= $false )
| ( ( SV19 @ SV13 )
= $false )
| ( ( ~ ( SV19 @ cZ ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(114,plain,
! [SV14: a,SV19: a > $o] :
( ( ( SV19
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) ) )
= $false )
| ( ( SV19 @ SV14 )
= $false )
| ( ( ~ ( SV19 @ cZ ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(115,plain,
! [SV12: a,SV19: a > $o] :
( ( ( SV19 @ cZ )
= $true )
| ( ( SV19 @ SV12 )
= $false )
| ( ( SV19
@ ( cP
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) )
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(116,plain,
! [SV13: a,SV19: a > $o] :
( ( ( SV19 @ cZ )
= $true )
| ( ( SV19 @ SV13 )
= $false )
| ( ( SV19
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(117,plain,
! [SV14: a,SV19: a > $o] :
( ( ( SV19 @ cZ )
= $true )
| ( ( SV19 @ SV14 )
= $false )
| ( ( SV19
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV19 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(118,plain,
! [SV13: a] :
( ( ( SV13 = cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(sim,[status(thm)],[95]) ).
thf(119,plain,
! [SV14: a] :
( ( ( SV14 = cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(sim,[status(thm)],[97]) ).
thf(120,plain,
! [SV24: a,SV25: a] :
( ( ( cP @ SV25 @ SV24 )
= cZ )
= $false ),
inference(rename,[status(thm)],[28]) ).
thf(121,plain,
! [SV26: a,SV27: a] :
( ( sK1_Xx
= ( cP @ SV27 @ SV26 ) )
= $false ),
inference(rename,[status(thm)],[47]) ).
thf(122,plain,
! [SV28: a,SV29: a,SV30: a,SV31: a] :
( ( ( ( cP @ SV31 @ SV30 )
= ( cP @ SV29 @ SV28 ) )
= $false )
| ( ( SV31 = SV29 )
= $true ) ),
inference(rename,[status(thm)],[57]) ).
thf(125,plain,
! [SV28: a,SV29: a,SV30: a,SV31: a,SV26: a,SV27: a] :
( ( ( ( SV31 = SV29 )
= ( sK1_Xx
= ( cP @ SV27 @ SV26 ) ) )
= $false )
| ( ( ( cP @ SV31 @ SV30 )
= ( cP @ SV29 @ SV28 ) )
= $false ) ),
inference(res,[status(thm)],[122,121]) ).
thf(126,plain,
! [SV28: a,SV29: a,SV30: a,SV31: a,SV24: a,SV25: a] :
( ( ( ( SV31 = SV29 )
= ( ( cP @ SV25 @ SV24 )
= cZ ) )
= $false )
| ( ( ( cP @ SV31 @ SV30 )
= ( cP @ SV29 @ SV28 ) )
= $false ) ),
inference(res,[status(thm)],[122,120]) ).
thf(127,plain,
! [SV28: a,SV29: a,SV30: a,SV31: a] :
( ( ( ( SV31 = SV29 )
= ( sK1_Xx = cZ ) )
= $false )
| ( ( ( cP @ SV31 @ SV30 )
= ( cP @ SV29 @ SV28 ) )
= $false ) ),
inference(res,[status(thm)],[122,36]) ).
thf(128,plain,
( ( cZ = sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[127:[bind(SV30,$thf( SV28 )),bind(SV31,$thf( cZ )),bind(SV29,$thf( sK1_Xx ))]]) ).
thf(129,plain,
! [SV28: a,SV30: a] :
( ( ( cP @ cZ @ SV30 )
= ( cP @ sK1_Xx @ SV28 ) )
= $false ),
inference(extuni,[status(esa)],[127:[bind(SV31,$thf( cZ )),bind(SV29,$thf( sK1_Xx ))]]) ).
thf(130,plain,
( ( sK1_Xx = cZ )
= $false ),
inference(extuni,[status(esa)],[127:[bind(SV30,$thf( SV28 )),bind(SV29,$thf( cZ )),bind(SV31,$thf( sK1_Xx ))]]) ).
thf(131,plain,
! [SV28: a,SV30: a] :
( ( ( cP @ sK1_Xx @ SV30 )
= ( cP @ cZ @ SV28 ) )
= $false ),
inference(extuni,[status(esa)],[127:[bind(SV29,$thf( cZ )),bind(SV31,$thf( sK1_Xx ))]]) ).
thf(132,plain,
! [SV24: a,SV25: a] :
( ( cZ
= ( cP @ SV25 @ SV24 ) )
= $false ),
inference(extuni,[status(esa)],[126:[bind(SV30,$thf( SV28 )),bind(SV31,$thf( cZ )),bind(SV29,$thf( cP @ SV25 @ SV24 ))]]) ).
thf(133,plain,
! [SV28: a,SV24: a,SV25: a,SV30: a] :
( ( ( cP @ cZ @ SV30 )
= ( cP @ ( cP @ SV25 @ SV24 ) @ SV28 ) )
= $false ),
inference(extuni,[status(esa)],[126:[bind(SV31,$thf( cZ )),bind(SV29,$thf( cP @ SV25 @ SV24 ))]]) ).
thf(134,plain,
! [SV24: a,SV25: a] :
( ( ( cP @ SV25 @ SV24 )
= cZ )
= $false ),
inference(extuni,[status(esa)],[126:[bind(SV30,$thf( SV28 )),bind(SV29,$thf( cZ )),bind(SV31,$thf( cP @ SV25 @ SV24 ))]]) ).
thf(135,plain,
! [SV28: a,SV30: a,SV24: a,SV25: a] :
( ( ( cP @ ( cP @ SV25 @ SV24 ) @ SV30 )
= ( cP @ cZ @ SV28 ) )
= $false ),
inference(extuni,[status(esa)],[126:[bind(SV29,$thf( cZ )),bind(SV31,$thf( cP @ SV25 @ SV24 ))]]) ).
thf(136,plain,
! [SV26: a,SV27: a] :
( ( ( cP @ SV27 @ SV26 )
= sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[125:[bind(SV30,$thf( SV28 )),bind(SV31,$thf( cP @ SV27 @ SV26 )),bind(SV29,$thf( sK1_Xx ))]]) ).
thf(137,plain,
! [SV28: a,SV30: a,SV26: a,SV27: a] :
( ( ( cP @ ( cP @ SV27 @ SV26 ) @ SV30 )
= ( cP @ sK1_Xx @ SV28 ) )
= $false ),
inference(extuni,[status(esa)],[125:[bind(SV31,$thf( cP @ SV27 @ SV26 )),bind(SV29,$thf( sK1_Xx ))]]) ).
thf(138,plain,
! [SV26: a,SV27: a] :
( ( sK1_Xx
= ( cP @ SV27 @ SV26 ) )
= $false ),
inference(extuni,[status(esa)],[125:[bind(SV30,$thf( SV28 )),bind(SV29,$thf( cP @ SV27 @ SV26 )),bind(SV31,$thf( sK1_Xx ))]]) ).
thf(139,plain,
! [SV28: a,SV26: a,SV27: a,SV30: a] :
( ( ( cP @ sK1_Xx @ SV30 )
= ( cP @ ( cP @ SV27 @ SV26 ) @ SV28 ) )
= $false ),
inference(extuni,[status(esa)],[125:[bind(SV29,$thf( cP @ SV27 @ SV26 )),bind(SV31,$thf( sK1_Xx ))]]) ).
thf(141,plain,
! [SV32: a,SV33: a,SV34: a,SV35: a] :
( ( ( ( cP @ SV35 @ SV34 )
= ( cP @ SV33 @ SV32 ) )
= $false )
| ( ( SV34 = SV32 )
= $true ) ),
inference(rename,[status(thm)],[58]) ).
thf(144,plain,
! [SV32: a,SV33: a,SV34: a,SV35: a,SV28: a,SV29: a,SV30: a,SV31: a] :
( ( ( ( ( cP @ SV35 @ SV34 )
= ( cP @ SV33 @ SV32 ) )
= ( SV31 = SV29 ) )
= $false )
| ( ( SV34 = SV32 )
= $true )
| ( ( ( cP @ SV31 @ SV30 )
= ( cP @ SV29 @ SV28 ) )
= $false ) ),
inference(res,[status(thm)],[141,122]) ).
thf(145,plain,
! [SV32: a,SV33: a,SV34: a,SV35: a,SV28: a,SV29: a,SV30: a,SV31: a] :
( ( ( ( SV34 = SV32 )
= ( ( cP @ SV31 @ SV30 )
= ( cP @ SV29 @ SV28 ) ) )
= $false )
| ( ( ( cP @ SV35 @ SV34 )
= ( cP @ SV33 @ SV32 ) )
= $false )
| ( ( SV31 = SV29 )
= $true ) ),
inference(res,[status(thm)],[141,122]) ).
thf(146,plain,
! [SV32: a,SV33: a,SV34: a,SV35: a,SV26: a,SV27: a] :
( ( ( ( SV34 = SV32 )
= ( sK1_Xx
= ( cP @ SV27 @ SV26 ) ) )
= $false )
| ( ( ( cP @ SV35 @ SV34 )
= ( cP @ SV33 @ SV32 ) )
= $false ) ),
inference(res,[status(thm)],[141,121]) ).
thf(147,plain,
! [SV32: a,SV33: a,SV34: a,SV35: a,SV24: a,SV25: a] :
( ( ( ( SV34 = SV32 )
= ( ( cP @ SV25 @ SV24 )
= cZ ) )
= $false )
| ( ( ( cP @ SV35 @ SV34 )
= ( cP @ SV33 @ SV32 ) )
= $false ) ),
inference(res,[status(thm)],[141,120]) ).
thf(148,plain,
! [SV32: a,SV33: a,SV34: a,SV35: a] :
( ( ( ( SV34 = SV32 )
= ( sK1_Xx = cZ ) )
= $false )
| ( ( ( cP @ SV35 @ SV34 )
= ( cP @ SV33 @ SV32 ) )
= $false ) ),
inference(res,[status(thm)],[141,36]) ).
thf(149,plain,
( ( cZ = sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[148:[bind(SV35,$thf( SV33 )),bind(SV34,$thf( cZ )),bind(SV32,$thf( sK1_Xx ))]]) ).
thf(150,plain,
! [SV33: a,SV35: a] :
( ( ( cP @ SV35 @ cZ )
= ( cP @ SV33 @ sK1_Xx ) )
= $false ),
inference(extuni,[status(esa)],[148:[bind(SV34,$thf( cZ )),bind(SV32,$thf( sK1_Xx ))]]) ).
thf(151,plain,
( ( sK1_Xx = cZ )
= $false ),
inference(extuni,[status(esa)],[148:[bind(SV35,$thf( SV33 )),bind(SV32,$thf( cZ )),bind(SV34,$thf( sK1_Xx ))]]) ).
thf(152,plain,
! [SV33: a,SV35: a] :
( ( ( cP @ SV35 @ sK1_Xx )
= ( cP @ SV33 @ cZ ) )
= $false ),
inference(extuni,[status(esa)],[148:[bind(SV32,$thf( cZ )),bind(SV34,$thf( sK1_Xx ))]]) ).
thf(153,plain,
! [SV24: a,SV25: a] :
( ( cZ
= ( cP @ SV25 @ SV24 ) )
= $false ),
inference(extuni,[status(esa)],[147:[bind(SV35,$thf( SV33 )),bind(SV34,$thf( cZ )),bind(SV32,$thf( cP @ SV25 @ SV24 ))]]) ).
thf(154,plain,
! [SV24: a,SV25: a,SV33: a,SV35: a] :
( ( ( cP @ SV35 @ cZ )
= ( cP @ SV33 @ ( cP @ SV25 @ SV24 ) ) )
= $false ),
inference(extuni,[status(esa)],[147:[bind(SV34,$thf( cZ )),bind(SV32,$thf( cP @ SV25 @ SV24 ))]]) ).
thf(155,plain,
! [SV24: a,SV25: a] :
( ( ( cP @ SV25 @ SV24 )
= cZ )
= $false ),
inference(extuni,[status(esa)],[147:[bind(SV35,$thf( SV33 )),bind(SV32,$thf( cZ )),bind(SV34,$thf( cP @ SV25 @ SV24 ))]]) ).
thf(156,plain,
! [SV33: a,SV24: a,SV25: a,SV35: a] :
( ( ( cP @ SV35 @ ( cP @ SV25 @ SV24 ) )
= ( cP @ SV33 @ cZ ) )
= $false ),
inference(extuni,[status(esa)],[147:[bind(SV32,$thf( cZ )),bind(SV34,$thf( cP @ SV25 @ SV24 ))]]) ).
thf(157,plain,
! [SV26: a,SV27: a] :
( ( ( cP @ SV27 @ SV26 )
= sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[146:[bind(SV35,$thf( SV33 )),bind(SV34,$thf( cP @ SV27 @ SV26 )),bind(SV32,$thf( sK1_Xx ))]]) ).
thf(158,plain,
! [SV33: a,SV26: a,SV27: a,SV35: a] :
( ( ( cP @ SV35 @ ( cP @ SV27 @ SV26 ) )
= ( cP @ SV33 @ sK1_Xx ) )
= $false ),
inference(extuni,[status(esa)],[146:[bind(SV34,$thf( cP @ SV27 @ SV26 )),bind(SV32,$thf( sK1_Xx ))]]) ).
thf(159,plain,
! [SV26: a,SV27: a] :
( ( sK1_Xx
= ( cP @ SV27 @ SV26 ) )
= $false ),
inference(extuni,[status(esa)],[146:[bind(SV35,$thf( SV33 )),bind(SV32,$thf( cP @ SV27 @ SV26 )),bind(SV34,$thf( sK1_Xx ))]]) ).
thf(160,plain,
! [SV26: a,SV27: a,SV33: a,SV35: a] :
( ( ( cP @ SV35 @ sK1_Xx )
= ( cP @ SV33 @ ( cP @ SV27 @ SV26 ) ) )
= $false ),
inference(extuni,[status(esa)],[146:[bind(SV32,$thf( cP @ SV27 @ SV26 )),bind(SV34,$thf( sK1_Xx ))]]) ).
thf(162,plain,
! [SV30: a,SV28: a,SV29: a,SV31: a] :
( ( ( SV31 = SV29 )
= $true )
| ( ( ( cP @ SV29 @ SV28 )
= ( cP @ SV31 @ SV30 ) )
= $false ) ),
inference(extuni,[status(esa)],[145:[bind(SV35,$thf( SV33 )),bind(SV34,$thf( cP @ SV29 @ SV28 )),bind(SV32,$thf( cP @ SV31 @ SV30 ))]]) ).
thf(163,plain,
! [SV30: a,SV33: a,SV28: a,SV35: a,SV29: a,SV31: a] :
( ( ( SV31 = SV29 )
= $true )
| ( ( ( cP @ SV35 @ ( cP @ SV29 @ SV28 ) )
= ( cP @ SV33 @ ( cP @ SV31 @ SV30 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[145:[bind(SV34,$thf( cP @ SV29 @ SV28 )),bind(SV32,$thf( cP @ SV31 @ SV30 ))]]) ).
thf(165,plain,
! [SV28: a,SV30: a,SV29: a,SV31: a] :
( ( ( SV31 = SV29 )
= $true )
| ( ( ( cP @ SV31 @ SV30 )
= ( cP @ SV29 @ SV28 ) )
= $false ) ),
inference(extuni,[status(esa)],[145:[bind(SV35,$thf( SV33 )),bind(SV32,$thf( cP @ SV29 @ SV28 )),bind(SV34,$thf( cP @ SV31 @ SV30 ))]]) ).
thf(166,plain,
! [SV28: a,SV33: a,SV30: a,SV35: a,SV29: a,SV31: a] :
( ( ( SV31 = SV29 )
= $true )
| ( ( ( cP @ SV35 @ ( cP @ SV31 @ SV30 ) )
= ( cP @ SV33 @ ( cP @ SV29 @ SV28 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[145:[bind(SV32,$thf( cP @ SV29 @ SV28 )),bind(SV34,$thf( cP @ SV31 @ SV30 ))]]) ).
thf(168,plain,
! [SV34: a,SV35: a,SV32: a,SV33: a] :
( ( ( ( cP @ SV33 @ SV32 )
= ( cP @ SV35 @ SV34 ) )
= $false )
| ( ( SV34 = SV32 )
= $true ) ),
inference(extuni,[status(esa)],[144:[bind(SV30,$thf( SV28 )),bind(SV29,$thf( cP @ SV35 @ SV34 )),bind(SV31,$thf( cP @ SV33 @ SV32 ))]]) ).
thf(169,plain,
! [SV28: a,SV34: a,SV35: a,SV30: a,SV32: a,SV33: a] :
( ( ( ( cP @ ( cP @ SV33 @ SV32 ) @ SV30 )
= ( cP @ ( cP @ SV35 @ SV34 ) @ SV28 ) )
= $false )
| ( ( SV34 = SV32 )
= $true ) ),
inference(extuni,[status(esa)],[144:[bind(SV29,$thf( cP @ SV35 @ SV34 )),bind(SV31,$thf( cP @ SV33 @ SV32 ))]]) ).
thf(171,plain,
! [SV32: a,SV33: a,SV34: a,SV35: a] :
( ( ( ( cP @ SV35 @ SV34 )
= ( cP @ SV33 @ SV32 ) )
= $false )
| ( ( SV34 = SV32 )
= $true ) ),
inference(extuni,[status(esa)],[144:[bind(SV30,$thf( SV28 )),bind(SV29,$thf( cP @ SV33 @ SV32 )),bind(SV31,$thf( cP @ SV35 @ SV34 ))]]) ).
thf(172,plain,
! [SV28: a,SV32: a,SV33: a,SV30: a,SV34: a,SV35: a] :
( ( ( ( cP @ ( cP @ SV35 @ SV34 ) @ SV30 )
= ( cP @ ( cP @ SV33 @ SV32 ) @ SV28 ) )
= $false )
| ( ( SV34 = SV32 )
= $true ) ),
inference(extuni,[status(esa)],[144:[bind(SV29,$thf( cP @ SV33 @ SV32 )),bind(SV31,$thf( cP @ SV35 @ SV34 ))]]) ).
thf(174,plain,
! [SV12: a] :
( ( ( SV12 = cZ )
= $true )
| ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) ) )
= cZ )
= $false )
| ( ( cZ = cZ )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[61:[bind(SV3,$thf( ^ [SV36: a] : ( SV36 = cZ ) ))]]) ).
thf(175,plain,
! [SV12: a] :
( ( ( SV12 = cZ )
= $true )
| ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) ) )
= cZ )
= $false ) ),
inference(sim,[status(thm)],[174]) ).
thf(176,plain,
! [SV13: a] :
( ( ( SV13 = cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( cZ = cZ )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[64:[bind(SV3,$thf( ^ [SV37: a] : ( SV37 = cZ ) ))]]) ).
thf(177,plain,
! [SV13: a] :
( ( ( SV13 = cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(sim,[status(thm)],[176]) ).
thf(178,plain,
! [SV14: a] :
( ( ( SV14 = cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( cZ = cZ )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[65:[bind(SV3,$thf( ^ [SV38: a] : ( SV38 = cZ ) ))]]) ).
thf(179,plain,
! [SV14: a] :
( ( ( SV14 = cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(sim,[status(thm)],[178]) ).
thf(180,plain,
! [SV12: a] :
( ( ( cZ = SV12 )
= $true )
| ( ( SV12 = SV12 )
= $false )
| ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[115:[bind(SV19,$thf( ^ [SV39: a] : ( SV39 = SV12 ) ))]]) ).
thf(181,plain,
! [SV12: a] :
( ( ( cZ = SV12 )
= $true )
| ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 )
= $true ) ),
inference(sim,[status(thm)],[180]) ).
thf(182,plain,
! [SV13: a] :
( ( ( cZ = SV13 )
= $true )
| ( ( SV13 = SV13 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV13 ) )
= SV13 )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[116:[bind(SV19,$thf( ^ [SV40: a] : ( SV40 = SV13 ) ))]]) ).
thf(183,plain,
! [SV13: a] :
( ( ( cZ = SV13 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV13 ) )
= SV13 )
= $false ) ),
inference(sim,[status(thm)],[182]) ).
thf(184,plain,
! [SV14: a] :
( ( ( cZ = SV14 )
= $true )
| ( ( SV14 = SV14 )
= $false )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV14 ) )
= SV14 )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[117:[bind(SV19,$thf( ^ [SV41: a] : ( SV41 = SV14 ) ))]]) ).
thf(185,plain,
! [SV14: a] :
( ( ( cZ = SV14 )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV14 ) )
= SV14 )
= $false ) ),
inference(sim,[status(thm)],[184]) ).
thf(188,plain,
! [SV12: a,SV49: a > $o] :
( ( ( ~ ( SV49 @ SV12 ) )
= $true )
| ( ( ~ ( SV49
@ ( cP
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) )
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV49 @ cZ ) )
= $false ) ),
inference(prim_subst,[status(thm)],[61:[bind(SV3,$thf( ^ [SV48: a] : ~ ( SV49 @ SV48 ) ))]]) ).
thf(191,plain,
! [SV13: a,SV49: a > $o] :
( ( ( ~ ( SV49 @ SV13 ) )
= $true )
| ( ( ~ ( SV49
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV49 @ cZ ) )
= $false ) ),
inference(prim_subst,[status(thm)],[64:[bind(SV3,$thf( ^ [SV48: a] : ~ ( SV49 @ SV48 ) ))]]) ).
thf(194,plain,
! [SV14: a,SV49: a > $o] :
( ( ( ~ ( SV49 @ SV14 ) )
= $true )
| ( ( ~ ( SV49
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV49 @ cZ ) )
= $false ) ),
inference(prim_subst,[status(thm)],[65:[bind(SV3,$thf( ^ [SV48: a] : ~ ( SV49 @ SV48 ) ))]]) ).
thf(197,plain,
! [SV12: a,SV43: a > $o] :
( ( ( ~ ( SV43 @ cZ ) )
= $true )
| ( ( ~ ( SV43 @ SV12 ) )
= $false )
| ( ( ~ ( SV43
@ ( cP
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) )
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[115:[bind(SV19,$thf( ^ [SV42: a] : ~ ( SV43 @ SV42 ) ))]]) ).
thf(200,plain,
! [SV13: a,SV43: a > $o] :
( ( ( ~ ( SV43 @ cZ ) )
= $true )
| ( ( ~ ( SV43 @ SV13 ) )
= $false )
| ( ( ~ ( SV43
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[116:[bind(SV19,$thf( ^ [SV42: a] : ~ ( SV43 @ SV42 ) ))]]) ).
thf(203,plain,
! [SV14: a,SV43: a > $o] :
( ( ( ~ ( SV43 @ cZ ) )
= $true )
| ( ( ~ ( SV43 @ SV14 ) )
= $false )
| ( ( ~ ( SV43
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[117:[bind(SV19,$thf( ^ [SV42: a] : ~ ( SV43 @ SV42 ) ))]]) ).
thf(204,plain,
! [SV13: a] :
( ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( SV13 = cZ )
= ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false ) ),
inference(fac_restr,[status(thm)],[177]) ).
thf(205,plain,
! [SV14: a] :
( ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( SV14 = cZ )
= ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false ) ),
inference(fac_restr,[status(thm)],[179]) ).
thf(206,plain,
! [SV13: a] :
( ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( SV13 = cZ )
= ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false ) ),
inference(fac_restr,[status(thm)],[69]) ).
thf(207,plain,
! [SV14: a] :
( ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( SV14 = cZ )
= ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false ) ),
inference(fac_restr,[status(thm)],[71]) ).
thf(208,plain,
! [SV12: a] :
( ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 )
= $true )
| ( ( ( cZ = SV12 )
= ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[181]) ).
thf(209,plain,
! [SV13: a] :
( ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( SV13 = cZ )
= ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false ) ),
inference(fac_restr,[status(thm)],[118]) ).
thf(210,plain,
! [SV14: a] :
( ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( SV14 = cZ )
= ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false ) ),
inference(fac_restr,[status(thm)],[119]) ).
thf(211,plain,
! [SV13: a] :
( ( ( ~ ( ( SV13 = cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
| ~ ( ( SV13 != cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
!= cZ ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[204]) ).
thf(212,plain,
! [SV13: a] :
( ( ( ( SV13 = cZ )
= ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[204]) ).
thf(213,plain,
! [SV14: a] :
( ( ( ~ ( ( SV14 = cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
| ~ ( ( SV14 != cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
!= cZ ) ) )
= $false )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[205]) ).
thf(214,plain,
! [SV14: a] :
( ( ( ( SV14 = cZ )
= ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[205]) ).
thf(215,plain,
! [SV13: a] :
( ( ( ~ ( ( SV13 = cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
| ~ ( ( SV13 != cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
!= cZ ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[206]) ).
thf(216,plain,
! [SV13: a] :
( ( ( ( SV13 = cZ )
= ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[206]) ).
thf(217,plain,
! [SV14: a] :
( ( ( ~ ( ( SV14 = cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
| ~ ( ( SV14 != cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
!= cZ ) ) )
= $false )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[207]) ).
thf(218,plain,
! [SV14: a] :
( ( ( ( SV14 = cZ )
= ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[207]) ).
thf(219,plain,
! [SV12: a] :
( ( ( ~ ( ( cZ = SV12 )
| ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 ) )
| ~ ( ( cZ != SV12 )
| ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
!= SV12 ) ) )
= $false )
| ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[208]) ).
thf(220,plain,
! [SV12: a] :
( ( ( ( cZ = SV12 )
= ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 ) )
= $false )
| ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[208]) ).
thf(221,plain,
! [SV13: a] :
( ( ( ~ ( ( SV13 = cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
| ~ ( ( SV13 != cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
!= cZ ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[209]) ).
thf(222,plain,
! [SV13: a] :
( ( ( ( SV13 = cZ )
= ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[209]) ).
thf(223,plain,
! [SV14: a] :
( ( ( ~ ( ( SV14 = cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
| ~ ( ( SV14 != cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
!= cZ ) ) )
= $false )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[210]) ).
thf(224,plain,
! [SV14: a] :
( ( ( ( SV14 = cZ )
= ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $false )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[210]) ).
thf(225,plain,
! [SV13: a] :
( ( ( ~ ( ( SV13 = cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(227,plain,
! [SV14: a] :
( ( ( ~ ( ( SV14 = cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) ) )
= $false )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(229,plain,
! [SV13: a] :
( ( ( ~ ( ( SV13 = cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(231,plain,
! [SV14: a] :
( ( ( ~ ( ( SV14 = cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) ) )
= $false )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(233,plain,
! [SV12: a] :
( ( ( ~ ( ( cZ = SV12 )
| ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 ) ) )
= $false )
| ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(235,plain,
! [SV13: a] :
( ( ( ~ ( ( SV13 = cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(237,plain,
! [SV14: a] :
( ( ( ~ ( ( SV14 = cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) ) )
= $false )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(239,plain,
! [SV13: a] :
( ( ( ( SV13 = cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(241,plain,
! [SV14: a] :
( ( ( ( SV14 = cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(243,plain,
! [SV13: a] :
( ( ( ( SV13 = cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(245,plain,
! [SV14: a] :
( ( ( ( SV14 = cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(247,plain,
! [SV12: a] :
( ( ( ( cZ = SV12 )
| ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 ) )
= $true )
| ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(249,plain,
! [SV13: a] :
( ( ( ( SV13 = cZ )
| ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(251,plain,
! [SV14: a] :
( ( ( ( SV14 = cZ )
| ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ ) )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(253,plain,
! [SV13: a] :
( ( ( SV13 = cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(255,plain,
! [SV14: a] :
( ( ( SV14 = cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(257,plain,
! [SV13: a] :
( ( ( SV13 = cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(259,plain,
! [SV14: a] :
( ( ( SV14 = cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(261,plain,
! [SV12: a] :
( ( ( cZ = SV12 )
= $true )
| ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 )
= $true )
| ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(263,plain,
! [SV13: a] :
( ( ( SV13 = cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(265,plain,
! [SV14: a] :
( ( ( SV14 = cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(281,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( cZ
= ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) ) )
= $false ) ),
inference(extuni,[status(esa)],[212:[bind(SV13,$thf( cZ ))]]) ).
thf(282,plain,
( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ),
inference(extuni,[status(esa)],[212:[bind(SV13,$thf( sK2_Xx @ ^ [SX0: a] : ( SX0 = cZ ) ))]]) ).
thf(283,plain,
( ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( cZ
= ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) ) )
= $false ) ),
inference(extuni,[status(esa)],[214:[bind(SV14,$thf( cZ ))]]) ).
thf(284,plain,
( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ),
inference(extuni,[status(esa)],[214:[bind(SV14,$thf( sK3_SY281 @ ^ [SX0: a] : ( SX0 = cZ ) ))]]) ).
thf(285,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( cZ
= ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) ) )
= $false ) ),
inference(extuni,[status(esa)],[216:[bind(SV13,$thf( cZ ))]]) ).
thf(286,plain,
( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ),
inference(extuni,[status(esa)],[216:[bind(SV13,$thf( sK2_Xx @ ^ [SX0: a] : ( SX0 = cZ ) ))]]) ).
thf(287,plain,
( ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( cZ
= ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) ) )
= $false ) ),
inference(extuni,[status(esa)],[218:[bind(SV14,$thf( cZ ))]]) ).
thf(288,plain,
( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ),
inference(extuni,[status(esa)],[218:[bind(SV14,$thf( sK3_SY281 @ ^ [SX0: a] : ( SX0 = cZ ) ))]]) ).
thf(289,plain,
! [SV12: a] :
( ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 )
= $true )
| ( ( cZ
= ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[220]) ).
thf(290,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( cZ
= ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) ) )
= $false ) ),
inference(extuni,[status(esa)],[222:[bind(SV13,$thf( cZ ))]]) ).
thf(291,plain,
( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ),
inference(extuni,[status(esa)],[222:[bind(SV13,$thf( sK2_Xx @ ^ [SX0: a] : ( SX0 = cZ ) ))]]) ).
thf(292,plain,
( ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true )
| ( ( cZ
= ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) ) )
= $false ) ),
inference(extuni,[status(esa)],[224:[bind(SV14,$thf( cZ ))]]) ).
thf(293,plain,
( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ),
inference(extuni,[status(esa)],[224:[bind(SV14,$thf( sK3_SY281 @ ^ [SX0: a] : ( SX0 = cZ ) ))]]) ).
thf(295,plain,
( ( cZ = sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[129:[bind(SV30,$thf( SV28 ))]]) ).
thf(296,plain,
( ( sK1_Xx = cZ )
= $false ),
inference(extuni,[status(esa)],[131:[bind(SV30,$thf( SV28 ))]]) ).
thf(297,plain,
! [SV24: a,SV25: a] :
( ( cZ
= ( cP @ SV25 @ SV24 ) )
= $false ),
inference(extuni,[status(esa)],[133:[bind(SV30,$thf( SV28 ))]]) ).
thf(298,plain,
! [SV24: a,SV25: a] :
( ( ( cP @ SV25 @ SV24 )
= cZ )
= $false ),
inference(extuni,[status(esa)],[135:[bind(SV30,$thf( SV28 ))]]) ).
thf(299,plain,
! [SV26: a,SV27: a] :
( ( ( cP @ SV27 @ SV26 )
= sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[137:[bind(SV30,$thf( SV28 ))]]) ).
thf(300,plain,
! [SV26: a,SV27: a] :
( ( sK1_Xx
= ( cP @ SV27 @ SV26 ) )
= $false ),
inference(extuni,[status(esa)],[139:[bind(SV30,$thf( SV28 ))]]) ).
thf(302,plain,
( ( cZ = sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[150:[bind(SV35,$thf( SV33 ))]]) ).
thf(303,plain,
( ( sK1_Xx = cZ )
= $false ),
inference(extuni,[status(esa)],[152:[bind(SV35,$thf( SV33 ))]]) ).
thf(304,plain,
! [SV24: a,SV25: a] :
( ( cZ
= ( cP @ SV25 @ SV24 ) )
= $false ),
inference(extuni,[status(esa)],[154:[bind(SV35,$thf( SV33 ))]]) ).
thf(305,plain,
! [SV24: a,SV25: a] :
( ( ( cP @ SV25 @ SV24 )
= cZ )
= $false ),
inference(extuni,[status(esa)],[156:[bind(SV35,$thf( SV33 ))]]) ).
thf(306,plain,
! [SV26: a,SV27: a] :
( ( ( cP @ SV27 @ SV26 )
= sK1_Xx )
= $false ),
inference(extuni,[status(esa)],[158:[bind(SV35,$thf( SV33 ))]]) ).
thf(307,plain,
! [SV26: a,SV27: a] :
( ( sK1_Xx
= ( cP @ SV27 @ SV26 ) )
= $false ),
inference(extuni,[status(esa)],[160:[bind(SV35,$thf( SV33 ))]]) ).
thf(310,plain,
! [SV30: a,SV31: a,SV28: a,SV29: a] :
( ( ( ( cP @ SV29 @ SV28 )
= ( cP @ SV31 @ SV30 ) )
= $false )
| ( ( SV31 = SV29 )
= $true ) ),
inference(extuni,[status(esa)],[163:[bind(SV35,$thf( SV33 ))]]) ).
thf(313,plain,
! [SV28: a,SV29: a,SV30: a,SV31: a] :
( ( ( ( cP @ SV31 @ SV30 )
= ( cP @ SV29 @ SV28 ) )
= $false )
| ( ( SV31 = SV29 )
= $true ) ),
inference(extuni,[status(esa)],[166:[bind(SV35,$thf( SV33 ))]]) ).
thf(316,plain,
! [SV35: a,SV33: a,SV32: a,SV34: a] :
( ( ( SV34 = SV32 )
= $true )
| ( ( ( cP @ SV33 @ SV32 )
= ( cP @ SV35 @ SV34 ) )
= $false ) ),
inference(extuni,[status(esa)],[169:[bind(SV30,$thf( SV28 ))]]) ).
thf(319,plain,
! [SV33: a,SV35: a,SV32: a,SV34: a] :
( ( ( SV34 = SV32 )
= $true )
| ( ( ( cP @ SV35 @ SV34 )
= ( cP @ SV33 @ SV32 ) )
= $false ) ),
inference(extuni,[status(esa)],[172:[bind(SV30,$thf( SV28 ))]]) ).
thf(320,plain,
! [SV12: a,SV49: a > $o] :
( ( ( SV49 @ SV12 )
= $false )
| ( ( ~ ( SV49
@ ( cP
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) )
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV49 @ cZ ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(321,plain,
! [SV13: a,SV49: a > $o] :
( ( ( SV49 @ SV13 )
= $false )
| ( ( ~ ( SV49
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV49 @ cZ ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(322,plain,
! [SV14: a,SV49: a > $o] :
( ( ( SV49 @ SV14 )
= $false )
| ( ( ~ ( SV49
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV49 @ cZ ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(323,plain,
! [SV12: a,SV43: a > $o] :
( ( ( SV43 @ cZ )
= $false )
| ( ( ~ ( SV43 @ SV12 ) )
= $false )
| ( ( ~ ( SV43
@ ( cP
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) )
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(324,plain,
! [SV13: a,SV43: a > $o] :
( ( ( SV43 @ cZ )
= $false )
| ( ( ~ ( SV43 @ SV13 ) )
= $false )
| ( ( ~ ( SV43
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(325,plain,
! [SV14: a,SV43: a > $o] :
( ( ( SV43 @ cZ )
= $false )
| ( ( ~ ( SV43 @ SV14 ) )
= $false )
| ( ( ~ ( SV43
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(326,plain,
! [SV12: a,SV49: a > $o] :
( ( ( SV49
@ ( cP
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) )
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) ) ) )
= $true )
| ( ( SV49 @ SV12 )
= $false )
| ( ( ~ ( SV49 @ cZ ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(327,plain,
! [SV13: a,SV49: a > $o] :
( ( ( SV49
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) ) )
= $false )
| ( ( SV49 @ SV13 )
= $false )
| ( ( ~ ( SV49 @ cZ ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(328,plain,
! [SV14: a,SV49: a > $o] :
( ( ( SV49
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) ) )
= $false )
| ( ( SV49 @ SV14 )
= $false )
| ( ( ~ ( SV49 @ cZ ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(329,plain,
! [SV12: a,SV43: a > $o] :
( ( ( SV43 @ SV12 )
= $true )
| ( ( SV43 @ cZ )
= $false )
| ( ( ~ ( SV43
@ ( cP
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) )
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(330,plain,
! [SV13: a,SV43: a > $o] :
( ( ( SV43 @ SV13 )
= $true )
| ( ( SV43 @ cZ )
= $false )
| ( ( ~ ( SV43
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(331,plain,
! [SV14: a,SV43: a > $o] :
( ( ( SV43 @ SV14 )
= $true )
| ( ( SV43 @ cZ )
= $false )
| ( ( ~ ( SV43
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(332,plain,
! [SV12: a,SV49: a > $o] :
( ( ( SV49 @ cZ )
= $true )
| ( ( SV49 @ SV12 )
= $false )
| ( ( SV49
@ ( cP
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) )
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(333,plain,
! [SV13: a,SV49: a > $o] :
( ( ( SV49 @ cZ )
= $true )
| ( ( SV49 @ SV13 )
= $false )
| ( ( SV49
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(334,plain,
! [SV14: a,SV49: a > $o] :
( ( ( SV49 @ cZ )
= $true )
| ( ( SV49 @ SV14 )
= $false )
| ( ( SV49
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ( SV49 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(335,plain,
! [SV12: a,SV43: a > $o] :
( ( ( SV43
@ ( cP
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) )
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) ) ) )
= $false )
| ( ( SV43 @ cZ )
= $false )
| ( ( SV43 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(336,plain,
! [SV13: a,SV43: a > $o] :
( ( ( SV43
@ ( sK2_Xx
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) ) )
= $true )
| ( ( SV43 @ cZ )
= $false )
| ( ( SV43 @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(337,plain,
! [SV14: a,SV43: a > $o] :
( ( ( SV43
@ ( sK3_SY281
@ ^ [SX0: a] :
~ ~ ( SV43 @ SX0 ) ) )
= $true )
| ( ( SV43 @ cZ )
= $false )
| ( ( SV43 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(338,plain,
! [SV13: a] :
( ( ( SV13 = cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(sim,[status(thm)],[253]) ).
thf(339,plain,
! [SV14: a] :
( ( ( SV14 = cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(sim,[status(thm)],[255]) ).
thf(340,plain,
! [SV13: a] :
( ( ( SV13 = cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(sim,[status(thm)],[257]) ).
thf(341,plain,
! [SV14: a] :
( ( ( SV14 = cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(sim,[status(thm)],[259]) ).
thf(342,plain,
! [SV12: a] :
( ( ( cZ = SV12 )
= $true )
| ( ( ( cP
@ ( sK2_Xx
@ ^ [SX0: a] : ( SX0 != SV12 ) )
@ ( sK3_SY281
@ ^ [SX0: a] : ( SX0 != SV12 ) ) )
= SV12 )
= $true ) ),
inference(sim,[status(thm)],[261]) ).
thf(343,plain,
! [SV13: a] :
( ( ( SV13 = cZ )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(sim,[status(thm)],[263]) ).
thf(344,plain,
! [SV14: a] :
( ( ( SV14 = cZ )
= $true )
| ( ( ( sK3_SY281
@ ^ [SX0: a] : ( SX0 = cZ ) )
= cZ )
= $true ) ),
inference(sim,[status(thm)],[265]) ).
thf(345,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[36,344,343,342,341,340,339,338,337,336,335,334,333,332,319,316,313,310,307,306,305,304,303,302,300,299,298,297,296,295,293,292,291,290,289,288,287,286,285,284,283,282,281,185,183,181,179,177,175,172,171,169,168,166,165,163,162,160,159,158,157,156,155,154,153,152,151,150,149,141,139,138,137,136,135,134,133,132,131,130,129,128,122,121,120,119,118,117,116,115,106,105,104,103,71,69,67,65,64,61]) ).
thf(346,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV195^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n018.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 : Mon Jun 27 21:48:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 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:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).......
% 1.46/1.63
% 1.46/1.63 Prim_subst applied to clause
% 1.46/1.63
% 1.46/1.63 183:[ 0:<SV37@SV36 = $true>-w(1)-i() 1:<SV37@((cP@(sK2_Xx@SV37))@(sK3_SY15@SV37)) = $false>-w(1)-i() 2:<SV37@cZ = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 62)-o(AXIOM)-fv([ SV36 SV37 ])
% 1.46/1.68
% 1.46/1.68 Prim_subst applied to clause
% 1.46/1.68
% 1.46/1.68 183:[ 0:<SV37@SV36 = $true>-w(1)-i() 1:<SV37@((cP@(sK2_Xx@SV37))@(sK3_SY15@SV37)) = $false>-w(1)-i() 2:<SV37@cZ = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 62)-o(AXIOM)-fv([ SV36 SV37 ])
% 1.52/1.73
% 1.52/1.73 Prim_subst applied to clause
% 1.52/1.73
% 1.52/1.73 183:[ 0:<SV37@SV36 = $true>-w(1)-i() 1:<SV37@((cP@(sK2_Xx@SV37))@(sK3_SY15@SV37)) = $false>-w(1)-i() 2:<SV37@cZ = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 62)-o(AXIOM)-fv([ SV36 SV37 ])
% 1.96/2.19 .......
% 75.24/75.50 (rf:0,axioms:0,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:2,loop_count:0,foatp_calls:0,translation:fof_full)...........
% 77.11/77.36
% 77.11/77.36 ********************************
% 77.11/77.36 * All subproblems solved! *
% 77.11/77.36 ********************************
% 77.11/77.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:345,loop_count:5,foatp_calls:4,translation:fof_full)
% 77.20/77.41
% 77.20/77.41 %**** Beginning of derivation protocol ****
% 77.20/77.41 % SZS output start CNFRefutation
% See solution above
% 77.20/77.41
% 77.20/77.41 %**** End of derivation protocol ****
% 77.20/77.41 %**** no. of clauses in derivation: 261 ****
% 77.20/77.41 %**** clause counter: 345 ****
% 77.20/77.41
% 77.20/77.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:345,loop_count:5,foatp_calls:4,translation:fof_full)
%------------------------------------------------------------------------------