%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV227^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:49:47 AM UTC 2026
% Result : Theorem 0.07s 0.28s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 1
% Syntax : Number of formulae : 239 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 3360 (1197 equ; 0 cnn)
% Maximal formula atoms : 6 ( 14 avg)
% Number of connectives : 2575 ( 393 ~; 960 |; 6 &;1216 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 97 ( 97 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 341 ( 18 ^; 317 !; 6 ?; 341 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_SV1,type,
sK1_SV1: a ).
thf(tp_sK2_SY4,type,
sK2_SY4: a > $o ).
thf(tp_sK3_SV9,type,
sK3_SV9: ( a > $o ) > a ).
thf(tp_sK4_SV10,type,
sK4_SV10: ( a > $o ) > a ).
thf(tp_sK5_SV11,type,
sK5_SV11: ( a > $o ) > a ).
thf(tp_sK6_SV12,type,
sK6_SV12: ( a > $o ) > a ).
thf(tp_x,type,
x: a > $o ).
thf(tp_y,type,
y: a > $o ).
thf(1,conjecture,
( ( ^ [Xz: a] :
( ( x @ Xz )
| ( y @ Xz ) ) )
= ( ^ [Xx0: a] :
? [S: a > $o] :
( ( ( S = x )
| ( S = y ) )
& ( S @ Xx0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX5200_pme) ).
thf(2,negated_conjecture,
( ( ( ^ [Xz: a] :
( ( x @ Xz )
| ( y @ Xz ) ) )
= ( ^ [Xx0: a] :
? [S: a > $o] :
( ( ( S = x )
| ( S = y ) )
& ( S @ Xx0 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ^ [Xz: a] :
( ( x @ Xz )
| ( y @ Xz ) ) )
= ( ^ [Xx0: a] :
? [S: a > $o] :
( ( ( S = x )
| ( S = y ) )
& ( S @ Xx0 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ^ [Xz: a] :
( ( x @ Xz )
| ( y @ Xz ) ) )
!= ( ^ [Xx0: a] :
? [S: a > $o] :
( ( ( S = x )
| ( S = y ) )
& ( S @ Xx0 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ( ^ [Xz: a] :
( ( x @ Xz )
| ( y @ Xz ) ) )
!= ( ^ [Xx0: a] :
? [S: a > $o] :
( ( S @ Xx0 )
& ( ( S = x )
| ( S = y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ^ [Xz: a] :
( ( x @ Xz )
| ( y @ Xz ) ) )
!= ( ^ [Xx0: a] :
? [S: a > $o] :
( ( S @ Xx0 )
& ( ( S = x )
| ( S = y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ( ^ [SX0: a] :
( ( x @ SX0 )
| ( y @ SX0 ) ) )
!= ( ^ [SX0: a] :
~ ! [SX1: a > $o] :
~ ~ ( ~ ( SX1 @ SX0 )
| ~ ( ( SX1 = x )
| ( SX1 = y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ( ^ [SX0: a] :
( ( x @ SX0 )
| ( y @ SX0 ) ) )
= ( ^ [SX0: a] :
~ ! [SX1: a > $o] :
~ ~ ( ~ ( SX1 @ SX0 )
| ~ ( ( SX1 = x )
| ( SX1 = y ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SV1: a] :
( ( ( x @ SV1 )
| ( y @ SV1 ) )
= ( ~ ! [SY3: a > $o] :
~ ~ ( ~ ( SY3 @ SV1 )
| ~ ( ( SY3 = x )
| ( SY3 = y ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[8]) ).
thf(10,plain,
( ( ( ^ [SX0: a] :
( ( x @ SX0 )
| ( y @ SX0 ) ) )
= ( ^ [SX0: a] :
~ ! [SX1: a > $o] :
~ ~ ( ~ ( SX1 @ SX0 )
| ~ ( ( SX1 = x )
| ( SX1 = y ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ( ( x @ sK1_SV1 )
| ( y @ sK1_SV1 ) )
= ( ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(12,plain,
( ( ~ ( ( x @ sK1_SV1 )
| ( y @ sK1_SV1 )
| ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
| ~ ( ~ ( ( x @ sK1_SV1 )
| ( y @ sK1_SV1 ) )
| ~ ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[11]) ).
thf(13,plain,
( ( ( ( x @ sK1_SV1 )
| ( y @ sK1_SV1 ) )
= ( ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( ( x @ sK1_SV1 )
| ( y @ sK1_SV1 )
| ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ( ( x @ sK1_SV1 )
| ( y @ sK1_SV1 ) )
| ~ ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(16,plain,
( ( ( x @ sK1_SV1 )
| ( y @ sK1_SV1 )
| ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( ( x @ sK1_SV1 )
| ( y @ sK1_SV1 ) )
| ~ ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ( ( x @ sK1_SV1 )
| ( y @ sK1_SV1 ) )
= $true )
| ( ( ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ( ~ ( ( x @ sK1_SV1 )
| ( y @ sK1_SV1 ) ) )
= $true )
| ( ( ~ ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( ( x @ sK1_SV1 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ( ( x @ sK1_SV1 )
| ( y @ sK1_SV1 ) )
= $false )
| ( ( ~ ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ( ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
= $false )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ( x @ sK1_SV1 )
= $false )
| ( ( ~ ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ( y @ sK1_SV1 )
= $false )
| ( ( ~ ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ( ~ ~ ( ~ ( sK2_SY4 @ sK1_SV1 )
| ~ ( ( sK2_SY4 = x )
| ( sK2_SY4 = y ) ) ) )
= $false )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[22]) ).
thf(26,plain,
( ( ( ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ( ~ ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ( ~ ( ~ ( sK2_SY4 @ sK1_SV1 )
| ~ ( ( sK2_SY4 = x )
| ( sK2_SY4 = y ) ) ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ( ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
= $true )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
( ( ( ! [SY4: a > $o] :
~ ~ ( ~ ( SY4 @ sK1_SV1 )
| ~ ( ( SY4 = x )
| ( SY4 = y ) ) ) )
= $true )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
( ( ( ~ ( sK2_SY4 @ sK1_SV1 )
| ~ ( ( sK2_SY4 = x )
| ( sK2_SY4 = y ) ) )
= $false )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV2: a > $o] :
( ( ( ~ ~ ( ~ ( SV2 @ sK1_SV1 )
| ~ ( ( SV2 = x )
| ( SV2 = y ) ) ) )
= $true )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV3: a > $o] :
( ( ( ~ ~ ( ~ ( SV3 @ sK1_SV1 )
| ~ ( ( SV3 = x )
| ( SV3 = y ) ) ) )
= $true )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ( ~ ( sK2_SY4 @ sK1_SV1 ) )
= $false )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(35,plain,
( ( ( ~ ( ( sK2_SY4 = x )
| ( sK2_SY4 = y ) ) )
= $false )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
! [SV2: a > $o] :
( ( ( ~ ( ~ ( SV2 @ sK1_SV1 )
| ~ ( ( SV2 = x )
| ( SV2 = y ) ) ) )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV3: a > $o] :
( ( ( ~ ( ~ ( SV3 @ sK1_SV1 )
| ~ ( ( SV3 = x )
| ( SV3 = y ) ) ) )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(38,plain,
( ( ( sK2_SY4 @ sK1_SV1 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(39,plain,
( ( ( ( sK2_SY4 = x )
| ( sK2_SY4 = y ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(40,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ sK1_SV1 )
| ~ ( ( SV2 = x )
| ( SV2 = y ) ) )
= $true )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(41,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ sK1_SV1 )
| ~ ( ( SV3 = x )
| ( SV3 = y ) ) )
= $true )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(42,plain,
( ( ( sK2_SY4 = x )
= $true )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(43,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ sK1_SV1 ) )
= $true )
| ( ( ~ ( ( SV2 = x )
| ( SV2 = y ) ) )
= $true )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(44,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ sK1_SV1 ) )
= $true )
| ( ( ~ ( ( SV3 = x )
| ( SV3 = y ) ) )
= $true )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(45,plain,
( ( ( ! [SV4: a] :
( ( sK2_SY4 @ SV4 )
= ( x @ SV4 ) ) )
= $true )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[42]) ).
thf(46,plain,
( ( ( sK2_SY4 = x )
= $true )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV2: a > $o] :
( ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( ~ ( ( SV2 = x )
| ( SV2 = y ) ) )
= $true )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV3: a > $o] :
( ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( ~ ( ( SV3 = x )
| ( SV3 = y ) ) )
= $true )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV5: a] :
( ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(50,plain,
( ( ( ! [SV6: a] :
( ( sK2_SY4 @ SV6 )
= ( y @ SV6 ) ) )
= $true )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[46]) ).
thf(51,plain,
( ( ( sK2_SY4 = y )
= $true )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[46]) ).
thf(52,plain,
! [SV2: a > $o] :
( ( ( ( SV2 = x )
| ( SV2 = y ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(53,plain,
! [SV3: a > $o] :
( ( ( ( SV3 = x )
| ( SV3 = y ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV5: a] :
( ( ( ~ ( ( sK2_SY4 @ SV5 )
| ( x @ SV5 ) )
| ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ( x @ SV5 ) ) )
= $true )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV5: a] :
( ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV7: a] :
( ( ( ( sK2_SY4 @ SV7 )
= ( y @ SV7 ) )
= $true )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV2: a > $o] :
( ( ( SV2 = x )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(58,plain,
! [SV2: a > $o] :
( ( ( SV2 = y )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV3: a > $o] :
( ( ( SV3 = x )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(60,plain,
! [SV3: a > $o] :
( ( ( SV3 = y )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(61,plain,
! [SV5: a] :
( ( ( ~ ( ( sK2_SY4 @ SV5 )
| ( x @ SV5 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ( x @ SV5 ) ) )
= $true )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(62,plain,
! [SV5: a] :
( ( ( ! [SV8: a] :
( ( sK2_SY4 @ SV8 )
= ( y @ SV8 ) ) )
= $true )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[55]) ).
thf(63,plain,
! [SV5: a] :
( ( ( sK2_SY4 = y )
= $true )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[55]) ).
thf(64,plain,
! [SV7: a] :
( ( ( ~ ( ( sK2_SY4 @ SV7 )
| ( y @ SV7 ) )
| ~ ( ~ ( sK2_SY4 @ SV7 )
| ~ ( y @ SV7 ) ) )
= $true )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[56]) ).
thf(65,plain,
! [SV7: a] :
( ( ( ( sK2_SY4 @ SV7 )
= ( y @ SV7 ) )
= $true )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[56]) ).
thf(66,plain,
! [SV2: a > $o] :
( ( ( ! [SV9: a] :
( ( SV2 @ SV9 )
= ( x @ SV9 ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[57]) ).
thf(67,plain,
! [SV2: a > $o] :
( ( ( SV2 = x )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[57]) ).
thf(68,plain,
! [SV2: a > $o] :
( ( ( ! [SV10: a] :
( ( SV2 @ SV10 )
= ( y @ SV10 ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[58]) ).
thf(69,plain,
! [SV2: a > $o] :
( ( ( SV2 = y )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[58]) ).
thf(70,plain,
! [SV3: a > $o] :
( ( ( ! [SV11: a] :
( ( SV3 @ SV11 )
= ( x @ SV11 ) ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[59]) ).
thf(71,plain,
! [SV3: a > $o] :
( ( ( SV3 = x )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[59]) ).
thf(72,plain,
! [SV3: a > $o] :
( ( ( ! [SV12: a] :
( ( SV3 @ SV12 )
= ( y @ SV12 ) ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[60]) ).
thf(73,plain,
! [SV3: a > $o] :
( ( ( SV3 = y )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[60]) ).
thf(74,plain,
! [SV5: a] :
( ( ( ( sK2_SY4 @ SV5 )
| ( x @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ( x @ SV5 ) ) )
= $true )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(75,plain,
! [SV5: a,SV13: a] :
( ( ( ( sK2_SY4 @ SV13 )
= ( y @ SV13 ) )
= $true )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(76,plain,
! [SV7: a] :
( ( ( ~ ( ( sK2_SY4 @ SV7 )
| ( y @ SV7 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY4 @ SV7 )
| ~ ( y @ SV7 ) ) )
= $true )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(77,plain,
! [SV2: a > $o] :
( ( ( ( SV2 @ ( sK3_SV9 @ SV2 ) )
= ( x @ ( sK3_SV9 @ SV2 ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[66]) ).
thf(78,plain,
! [SV2: a > $o] :
( ( ( ( SV2 @ ( sK4_SV10 @ SV2 ) )
= ( y @ ( sK4_SV10 @ SV2 ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[68]) ).
thf(79,plain,
! [SV3: a > $o] :
( ( ( ( SV3 @ ( sK5_SV11 @ SV3 ) )
= ( x @ ( sK5_SV11 @ SV3 ) ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[70]) ).
thf(80,plain,
! [SV3: a > $o] :
( ( ( ( SV3 @ ( sK6_SV12 @ SV3 ) )
= ( y @ ( sK6_SV12 @ SV3 ) ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[72]) ).
thf(81,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ( x @ SV5 ) ) )
= $true )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(82,plain,
! [SV5: a] :
( ( ( x @ SV5 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ( x @ SV5 ) ) )
= $true )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(83,plain,
! [SV5: a,SV13: a] :
( ( ( ~ ( ( sK2_SY4 @ SV13 )
| ( y @ SV13 ) )
| ~ ( ~ ( sK2_SY4 @ SV13 )
| ~ ( y @ SV13 ) ) )
= $true )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV5: a,SV13: a] :
( ( ( ( sK2_SY4 @ SV13 )
= ( y @ SV13 ) )
= $true )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[75]) ).
thf(85,plain,
! [SV7: a] :
( ( ( ( sK2_SY4 @ SV7 )
| ( y @ SV7 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV7 )
| ~ ( y @ SV7 ) ) )
= $true )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(86,plain,
! [SV2: a > $o] :
( ( ( ~ ( ( SV2 @ ( sK3_SV9 @ SV2 ) )
| ( x @ ( sK3_SV9 @ SV2 ) ) )
| ~ ( ~ ( SV2 @ ( sK3_SV9 @ SV2 ) )
| ~ ( x @ ( sK3_SV9 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[77]) ).
thf(87,plain,
! [SV2: a > $o] :
( ( ( ( SV2 @ ( sK3_SV9 @ SV2 ) )
= ( x @ ( sK3_SV9 @ SV2 ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[77]) ).
thf(88,plain,
! [SV2: a > $o] :
( ( ( ~ ( ( SV2 @ ( sK4_SV10 @ SV2 ) )
| ( y @ ( sK4_SV10 @ SV2 ) ) )
| ~ ( ~ ( SV2 @ ( sK4_SV10 @ SV2 ) )
| ~ ( y @ ( sK4_SV10 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[78]) ).
thf(89,plain,
! [SV2: a > $o] :
( ( ( ( SV2 @ ( sK4_SV10 @ SV2 ) )
= ( y @ ( sK4_SV10 @ SV2 ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[78]) ).
thf(90,plain,
! [SV3: a > $o] :
( ( ( ~ ( ( SV3 @ ( sK5_SV11 @ SV3 ) )
| ( x @ ( sK5_SV11 @ SV3 ) ) )
| ~ ( ~ ( SV3 @ ( sK5_SV11 @ SV3 ) )
| ~ ( x @ ( sK5_SV11 @ SV3 ) ) ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[79]) ).
thf(91,plain,
! [SV3: a > $o] :
( ( ( ( SV3 @ ( sK5_SV11 @ SV3 ) )
= ( x @ ( sK5_SV11 @ SV3 ) ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[79]) ).
thf(92,plain,
! [SV3: a > $o] :
( ( ( ~ ( ( SV3 @ ( sK6_SV12 @ SV3 ) )
| ( y @ ( sK6_SV12 @ SV3 ) ) )
| ~ ( ~ ( SV3 @ ( sK6_SV12 @ SV3 ) )
| ~ ( y @ ( sK6_SV12 @ SV3 ) ) ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[80]) ).
thf(93,plain,
! [SV3: a > $o] :
( ( ( ( SV3 @ ( sK6_SV12 @ SV3 ) )
= ( y @ ( sK6_SV12 @ SV3 ) ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[80]) ).
thf(94,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 )
| ~ ( x @ SV5 ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(95,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 )
| ~ ( x @ SV5 ) )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(96,plain,
! [SV5: a,SV13: a] :
( ( ( ~ ( ( sK2_SY4 @ SV13 )
| ( y @ SV13 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY4 @ SV13 )
| ~ ( y @ SV13 ) ) )
= $true )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(97,plain,
! [SV7: a] :
( ( ( sK2_SY4 @ SV7 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV7 )
| ~ ( y @ SV7 ) ) )
= $true )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(98,plain,
! [SV7: a] :
( ( ( y @ SV7 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV7 )
| ~ ( y @ SV7 ) ) )
= $true )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(99,plain,
! [SV2: a > $o] :
( ( ( ~ ( ( SV2 @ ( sK3_SV9 @ SV2 ) )
| ( x @ ( sK3_SV9 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(100,plain,
! [SV2: a > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK3_SV9 @ SV2 ) )
| ~ ( x @ ( sK3_SV9 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(101,plain,
! [SV2: a > $o] :
( ( ( ~ ( ( SV2 @ ( sK4_SV10 @ SV2 ) )
| ( y @ ( sK4_SV10 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(102,plain,
! [SV2: a > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK4_SV10 @ SV2 ) )
| ~ ( y @ ( sK4_SV10 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(103,plain,
! [SV3: a > $o] :
( ( ( ~ ( ( SV3 @ ( sK5_SV11 @ SV3 ) )
| ( x @ ( sK5_SV11 @ SV3 ) ) ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(104,plain,
! [SV3: a > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK5_SV11 @ SV3 ) )
| ~ ( x @ ( sK5_SV11 @ SV3 ) ) ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(105,plain,
! [SV3: a > $o] :
( ( ( ~ ( ( SV3 @ ( sK6_SV12 @ SV3 ) )
| ( y @ ( sK6_SV12 @ SV3 ) ) ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(106,plain,
! [SV3: a > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK6_SV12 @ SV3 ) )
| ~ ( y @ ( sK6_SV12 @ SV3 ) ) ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(107,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(108,plain,
! [SV5: a] :
( ( ( ~ ( x @ SV5 ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(109,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(110,plain,
! [SV5: a] :
( ( ( ~ ( x @ SV5 ) )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(111,plain,
! [SV5: a,SV13: a] :
( ( ( ( sK2_SY4 @ SV13 )
| ( y @ SV13 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV13 )
| ~ ( y @ SV13 ) ) )
= $true )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(112,plain,
! [SV7: a] :
( ( ( ~ ( sK2_SY4 @ SV7 )
| ~ ( y @ SV7 ) )
= $false )
| ( ( sK2_SY4 @ SV7 )
= $false )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(113,plain,
! [SV7: a] :
( ( ( ~ ( sK2_SY4 @ SV7 )
| ~ ( y @ SV7 ) )
= $false )
| ( ( y @ SV7 )
= $false )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(114,plain,
! [SV2: a > $o] :
( ( ( ( SV2 @ ( sK3_SV9 @ SV2 ) )
| ( x @ ( sK3_SV9 @ SV2 ) ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(115,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK3_SV9 @ SV2 ) )
| ~ ( x @ ( sK3_SV9 @ SV2 ) ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(116,plain,
! [SV2: a > $o] :
( ( ( ( SV2 @ ( sK4_SV10 @ SV2 ) )
| ( y @ ( sK4_SV10 @ SV2 ) ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(117,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK4_SV10 @ SV2 ) )
| ~ ( y @ ( sK4_SV10 @ SV2 ) ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(118,plain,
! [SV3: a > $o] :
( ( ( ( SV3 @ ( sK5_SV11 @ SV3 ) )
| ( x @ ( sK5_SV11 @ SV3 ) ) )
= $true )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(119,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK5_SV11 @ SV3 ) )
| ~ ( x @ ( sK5_SV11 @ SV3 ) ) )
= $true )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(120,plain,
! [SV3: a > $o] :
( ( ( ( SV3 @ ( sK6_SV12 @ SV3 ) )
| ( y @ ( sK6_SV12 @ SV3 ) ) )
= $true )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(121,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK6_SV12 @ SV3 ) )
| ~ ( y @ ( sK6_SV12 @ SV3 ) ) )
= $true )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(122,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(123,plain,
! [SV5: a] :
( ( ( x @ SV5 )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(124,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(125,plain,
! [SV5: a] :
( ( ( x @ SV5 )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 = y )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(126,plain,
! [SV5: a,SV13: a] :
( ( ( sK2_SY4 @ SV13 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV13 )
| ~ ( y @ SV13 ) ) )
= $true )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(127,plain,
! [SV5: a,SV13: a] :
( ( ( y @ SV13 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV13 )
| ~ ( y @ SV13 ) ) )
= $true )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(128,plain,
! [SV7: a] :
( ( ( ~ ( sK2_SY4 @ SV7 ) )
= $false )
| ( ( sK2_SY4 @ SV7 )
= $false )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(129,plain,
! [SV7: a] :
( ( ( ~ ( y @ SV7 ) )
= $false )
| ( ( sK2_SY4 @ SV7 )
= $false )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(130,plain,
! [SV7: a] :
( ( ( ~ ( sK2_SY4 @ SV7 ) )
= $false )
| ( ( y @ SV7 )
= $false )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(131,plain,
! [SV7: a] :
( ( ( ~ ( y @ SV7 ) )
= $false )
| ( ( y @ SV7 )
= $false )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(132,plain,
! [SV2: a > $o] :
( ( ( SV2 @ ( sK3_SV9 @ SV2 ) )
= $true )
| ( ( x @ ( sK3_SV9 @ SV2 ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(133,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK3_SV9 @ SV2 ) ) )
= $true )
| ( ( ~ ( x @ ( sK3_SV9 @ SV2 ) ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(134,plain,
! [SV2: a > $o] :
( ( ( SV2 @ ( sK4_SV10 @ SV2 ) )
= $true )
| ( ( y @ ( sK4_SV10 @ SV2 ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(135,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK4_SV10 @ SV2 ) ) )
= $true )
| ( ( ~ ( y @ ( sK4_SV10 @ SV2 ) ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(136,plain,
! [SV3: a > $o] :
( ( ( SV3 @ ( sK5_SV11 @ SV3 ) )
= $true )
| ( ( x @ ( sK5_SV11 @ SV3 ) )
= $true )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(137,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK5_SV11 @ SV3 ) ) )
= $true )
| ( ( ~ ( x @ ( sK5_SV11 @ SV3 ) ) )
= $true )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(138,plain,
! [SV3: a > $o] :
( ( ( SV3 @ ( sK6_SV12 @ SV3 ) )
= $true )
| ( ( y @ ( sK6_SV12 @ SV3 ) )
= $true )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(139,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK6_SV12 @ SV3 ) ) )
= $true )
| ( ( ~ ( y @ ( sK6_SV12 @ SV3 ) ) )
= $true )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(140,plain,
! [SV5: a] :
( ( ( ! [SV14: a] :
( ( sK2_SY4 @ SV14 )
= ( y @ SV14 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[122]) ).
thf(141,plain,
! [SV5: a] :
( ( ( sK2_SY4 = y )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[122]) ).
thf(142,plain,
! [SV5: a] :
( ( ( ! [SV15: a] :
( ( sK2_SY4 @ SV15 )
= ( y @ SV15 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[123]) ).
thf(143,plain,
! [SV5: a] :
( ( ( sK2_SY4 = y )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[123]) ).
thf(144,plain,
! [SV5: a] :
( ( ( ! [SV16: a] :
( ( sK2_SY4 @ SV16 )
= ( y @ SV16 ) ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[124]) ).
thf(145,plain,
! [SV5: a] :
( ( ( sK2_SY4 = y )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[124]) ).
thf(146,plain,
! [SV5: a] :
( ( ( ! [SV17: a] :
( ( sK2_SY4 @ SV17 )
= ( y @ SV17 ) ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[125]) ).
thf(147,plain,
! [SV5: a] :
( ( ( sK2_SY4 = y )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[125]) ).
thf(148,plain,
! [SV5: a,SV13: a] :
( ( ( ~ ( sK2_SY4 @ SV13 )
| ~ ( y @ SV13 ) )
= $false )
| ( ( sK2_SY4 @ SV13 )
= $false )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(149,plain,
! [SV5: a,SV13: a] :
( ( ( ~ ( sK2_SY4 @ SV13 )
| ~ ( y @ SV13 ) )
= $false )
| ( ( y @ SV13 )
= $false )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(150,plain,
! [SV7: a] :
( ( ( sK2_SY4 @ SV7 )
= $true )
| ( ( sK2_SY4 @ SV7 )
= $false )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(151,plain,
! [SV7: a] :
( ( ( y @ SV7 )
= $true )
| ( ( sK2_SY4 @ SV7 )
= $false )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(152,plain,
! [SV7: a] :
( ( ( sK2_SY4 @ SV7 )
= $true )
| ( ( y @ SV7 )
= $false )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(153,plain,
! [SV7: a] :
( ( ( y @ SV7 )
= $true )
| ( ( y @ SV7 )
= $false )
| ( ( sK2_SY4 = x )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(154,plain,
! [SV2: a > $o] :
( ( ( SV2 @ ( sK3_SV9 @ SV2 ) )
= $false )
| ( ( ~ ( x @ ( sK3_SV9 @ SV2 ) ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(155,plain,
! [SV2: a > $o] :
( ( ( SV2 @ ( sK4_SV10 @ SV2 ) )
= $false )
| ( ( ~ ( y @ ( sK4_SV10 @ SV2 ) ) )
= $true )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(156,plain,
! [SV3: a > $o] :
( ( ( SV3 @ ( sK5_SV11 @ SV3 ) )
= $false )
| ( ( ~ ( x @ ( sK5_SV11 @ SV3 ) ) )
= $true )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(157,plain,
! [SV3: a > $o] :
( ( ( SV3 @ ( sK6_SV12 @ SV3 ) )
= $false )
| ( ( ~ ( y @ ( sK6_SV12 @ SV3 ) ) )
= $true )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(158,plain,
! [SV5: a,SV18: a] :
( ( ( ( sK2_SY4 @ SV18 )
= ( y @ SV18 ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(159,plain,
! [SV5: a,SV19: a] :
( ( ( ( sK2_SY4 @ SV19 )
= ( y @ SV19 ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(160,plain,
! [SV5: a,SV20: a] :
( ( ( ( sK2_SY4 @ SV20 )
= ( y @ SV20 ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(161,plain,
! [SV5: a,SV21: a] :
( ( ( ( sK2_SY4 @ SV21 )
= ( y @ SV21 ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(162,plain,
! [SV5: a,SV13: a] :
( ( ( ~ ( sK2_SY4 @ SV13 ) )
= $false )
| ( ( sK2_SY4 @ SV13 )
= $false )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(163,plain,
! [SV5: a,SV13: a] :
( ( ( ~ ( y @ SV13 ) )
= $false )
| ( ( sK2_SY4 @ SV13 )
= $false )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(164,plain,
! [SV5: a,SV13: a] :
( ( ( ~ ( sK2_SY4 @ SV13 ) )
= $false )
| ( ( y @ SV13 )
= $false )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(165,plain,
! [SV5: a,SV13: a] :
( ( ( ~ ( y @ SV13 ) )
= $false )
| ( ( y @ SV13 )
= $false )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(166,plain,
! [SV2: a > $o] :
( ( ( x @ ( sK3_SV9 @ SV2 ) )
= $false )
| ( ( SV2 @ ( sK3_SV9 @ SV2 ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(167,plain,
! [SV2: a > $o] :
( ( ( y @ ( sK4_SV10 @ SV2 ) )
= $false )
| ( ( SV2 @ ( sK4_SV10 @ SV2 ) )
= $false )
| ( ( SV2 @ sK1_SV1 )
= $false )
| ( ( x @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(168,plain,
! [SV3: a > $o] :
( ( ( x @ ( sK5_SV11 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK5_SV11 @ SV3 ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(169,plain,
! [SV3: a > $o] :
( ( ( y @ ( sK6_SV12 @ SV3 ) )
= $false )
| ( ( SV3 @ ( sK6_SV12 @ SV3 ) )
= $false )
| ( ( SV3 @ sK1_SV1 )
= $false )
| ( ( y @ sK1_SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(170,plain,
! [SV5: a,SV18: a] :
( ( ( ~ ( ( sK2_SY4 @ SV18 )
| ( y @ SV18 ) )
| ~ ( ~ ( sK2_SY4 @ SV18 )
| ~ ( y @ SV18 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[158]) ).
thf(171,plain,
! [SV5: a,SV18: a] :
( ( ( ( sK2_SY4 @ SV18 )
= ( y @ SV18 ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[158]) ).
thf(172,plain,
! [SV5: a,SV19: a] :
( ( ( ~ ( ( sK2_SY4 @ SV19 )
| ( y @ SV19 ) )
| ~ ( ~ ( sK2_SY4 @ SV19 )
| ~ ( y @ SV19 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[159]) ).
thf(173,plain,
! [SV5: a,SV19: a] :
( ( ( ( sK2_SY4 @ SV19 )
= ( y @ SV19 ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[159]) ).
thf(174,plain,
! [SV5: a,SV20: a] :
( ( ( ~ ( ( sK2_SY4 @ SV20 )
| ( y @ SV20 ) )
| ~ ( ~ ( sK2_SY4 @ SV20 )
| ~ ( y @ SV20 ) ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[160]) ).
thf(175,plain,
! [SV5: a,SV20: a] :
( ( ( ( sK2_SY4 @ SV20 )
= ( y @ SV20 ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[160]) ).
thf(176,plain,
! [SV5: a,SV21: a] :
( ( ( ~ ( ( sK2_SY4 @ SV21 )
| ( y @ SV21 ) )
| ~ ( ~ ( sK2_SY4 @ SV21 )
| ~ ( y @ SV21 ) ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[161]) ).
thf(177,plain,
! [SV5: a,SV21: a] :
( ( ( ( sK2_SY4 @ SV21 )
= ( y @ SV21 ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[161]) ).
thf(178,plain,
! [SV5: a,SV13: a] :
( ( ( sK2_SY4 @ SV13 )
= $true )
| ( ( sK2_SY4 @ SV13 )
= $false )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(179,plain,
! [SV5: a,SV13: a] :
( ( ( y @ SV13 )
= $true )
| ( ( sK2_SY4 @ SV13 )
= $false )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(180,plain,
! [SV5: a,SV13: a] :
( ( ( sK2_SY4 @ SV13 )
= $true )
| ( ( y @ SV13 )
= $false )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(181,plain,
! [SV5: a,SV13: a] :
( ( ( y @ SV13 )
= $true )
| ( ( y @ SV13 )
= $false )
| ( ( ( sK2_SY4 @ SV5 )
= ( x @ SV5 ) )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(182,plain,
! [SV5: a,SV18: a] :
( ( ( ~ ( ( sK2_SY4 @ SV18 )
| ( y @ SV18 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY4 @ SV18 )
| ~ ( y @ SV18 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(183,plain,
! [SV5: a,SV19: a] :
( ( ( ~ ( ( sK2_SY4 @ SV19 )
| ( y @ SV19 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY4 @ SV19 )
| ~ ( y @ SV19 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(184,plain,
! [SV5: a,SV20: a] :
( ( ( ~ ( ( sK2_SY4 @ SV20 )
| ( y @ SV20 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY4 @ SV20 )
| ~ ( y @ SV20 ) ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(185,plain,
! [SV5: a,SV21: a] :
( ( ( ~ ( ( sK2_SY4 @ SV21 )
| ( y @ SV21 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY4 @ SV21 )
| ~ ( y @ SV21 ) ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(186,plain,
! [SV5: a,SV18: a] :
( ( ( ( sK2_SY4 @ SV18 )
| ( y @ SV18 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV18 )
| ~ ( y @ SV18 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(187,plain,
! [SV5: a,SV19: a] :
( ( ( ( sK2_SY4 @ SV19 )
| ( y @ SV19 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV19 )
| ~ ( y @ SV19 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(188,plain,
! [SV5: a,SV20: a] :
( ( ( ( sK2_SY4 @ SV20 )
| ( y @ SV20 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV20 )
| ~ ( y @ SV20 ) ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(189,plain,
! [SV5: a,SV21: a] :
( ( ( ( sK2_SY4 @ SV21 )
| ( y @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV21 )
| ~ ( y @ SV21 ) ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(190,plain,
! [SV5: a,SV18: a] :
( ( ( sK2_SY4 @ SV18 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV18 )
| ~ ( y @ SV18 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(191,plain,
! [SV5: a,SV18: a] :
( ( ( y @ SV18 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV18 )
| ~ ( y @ SV18 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(192,plain,
! [SV5: a,SV19: a] :
( ( ( sK2_SY4 @ SV19 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV19 )
| ~ ( y @ SV19 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(193,plain,
! [SV5: a,SV19: a] :
( ( ( y @ SV19 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV19 )
| ~ ( y @ SV19 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(194,plain,
! [SV5: a,SV20: a] :
( ( ( sK2_SY4 @ SV20 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV20 )
| ~ ( y @ SV20 ) ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(195,plain,
! [SV5: a,SV20: a] :
( ( ( y @ SV20 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV20 )
| ~ ( y @ SV20 ) ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(196,plain,
! [SV5: a,SV21: a] :
( ( ( sK2_SY4 @ SV21 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV21 )
| ~ ( y @ SV21 ) ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(197,plain,
! [SV5: a,SV21: a] :
( ( ( y @ SV21 )
= $false )
| ( ( ~ ( ~ ( sK2_SY4 @ SV21 )
| ~ ( y @ SV21 ) ) )
= $true )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(198,plain,
! [SV5: a,SV18: a] :
( ( ( ~ ( sK2_SY4 @ SV18 )
| ~ ( y @ SV18 ) )
= $false )
| ( ( sK2_SY4 @ SV18 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(199,plain,
! [SV5: a,SV18: a] :
( ( ( ~ ( sK2_SY4 @ SV18 )
| ~ ( y @ SV18 ) )
= $false )
| ( ( y @ SV18 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(200,plain,
! [SV5: a,SV19: a] :
( ( ( ~ ( sK2_SY4 @ SV19 )
| ~ ( y @ SV19 ) )
= $false )
| ( ( sK2_SY4 @ SV19 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(201,plain,
! [SV5: a,SV19: a] :
( ( ( ~ ( sK2_SY4 @ SV19 )
| ~ ( y @ SV19 ) )
= $false )
| ( ( y @ SV19 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(202,plain,
! [SV5: a,SV20: a] :
( ( ( ~ ( sK2_SY4 @ SV20 )
| ~ ( y @ SV20 ) )
= $false )
| ( ( sK2_SY4 @ SV20 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(203,plain,
! [SV5: a,SV20: a] :
( ( ( ~ ( sK2_SY4 @ SV20 )
| ~ ( y @ SV20 ) )
= $false )
| ( ( y @ SV20 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(204,plain,
! [SV5: a,SV21: a] :
( ( ( ~ ( sK2_SY4 @ SV21 )
| ~ ( y @ SV21 ) )
= $false )
| ( ( sK2_SY4 @ SV21 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(205,plain,
! [SV5: a,SV21: a] :
( ( ( ~ ( sK2_SY4 @ SV21 )
| ~ ( y @ SV21 ) )
= $false )
| ( ( y @ SV21 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(206,plain,
! [SV5: a,SV18: a] :
( ( ( ~ ( sK2_SY4 @ SV18 ) )
= $false )
| ( ( sK2_SY4 @ SV18 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(207,plain,
! [SV5: a,SV18: a] :
( ( ( ~ ( y @ SV18 ) )
= $false )
| ( ( sK2_SY4 @ SV18 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(208,plain,
! [SV5: a,SV18: a] :
( ( ( ~ ( sK2_SY4 @ SV18 ) )
= $false )
| ( ( y @ SV18 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(209,plain,
! [SV5: a,SV18: a] :
( ( ( ~ ( y @ SV18 ) )
= $false )
| ( ( y @ SV18 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(210,plain,
! [SV5: a,SV19: a] :
( ( ( ~ ( sK2_SY4 @ SV19 ) )
= $false )
| ( ( sK2_SY4 @ SV19 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(211,plain,
! [SV5: a,SV19: a] :
( ( ( ~ ( y @ SV19 ) )
= $false )
| ( ( sK2_SY4 @ SV19 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(212,plain,
! [SV5: a,SV19: a] :
( ( ( ~ ( sK2_SY4 @ SV19 ) )
= $false )
| ( ( y @ SV19 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(213,plain,
! [SV5: a,SV19: a] :
( ( ( ~ ( y @ SV19 ) )
= $false )
| ( ( y @ SV19 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(214,plain,
! [SV5: a,SV20: a] :
( ( ( ~ ( sK2_SY4 @ SV20 ) )
= $false )
| ( ( sK2_SY4 @ SV20 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(215,plain,
! [SV5: a,SV20: a] :
( ( ( ~ ( y @ SV20 ) )
= $false )
| ( ( sK2_SY4 @ SV20 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(216,plain,
! [SV5: a,SV20: a] :
( ( ( ~ ( sK2_SY4 @ SV20 ) )
= $false )
| ( ( y @ SV20 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(217,plain,
! [SV5: a,SV20: a] :
( ( ( ~ ( y @ SV20 ) )
= $false )
| ( ( y @ SV20 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(218,plain,
! [SV5: a,SV21: a] :
( ( ( ~ ( sK2_SY4 @ SV21 ) )
= $false )
| ( ( sK2_SY4 @ SV21 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(219,plain,
! [SV5: a,SV21: a] :
( ( ( ~ ( y @ SV21 ) )
= $false )
| ( ( sK2_SY4 @ SV21 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(220,plain,
! [SV5: a,SV21: a] :
( ( ( ~ ( sK2_SY4 @ SV21 ) )
= $false )
| ( ( y @ SV21 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(221,plain,
! [SV5: a,SV21: a] :
( ( ( ~ ( y @ SV21 ) )
= $false )
| ( ( y @ SV21 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(222,plain,
! [SV5: a,SV18: a] :
( ( ( sK2_SY4 @ SV18 )
= $true )
| ( ( sK2_SY4 @ SV18 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(223,plain,
! [SV5: a,SV18: a] :
( ( ( y @ SV18 )
= $true )
| ( ( sK2_SY4 @ SV18 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(224,plain,
! [SV5: a,SV18: a] :
( ( ( sK2_SY4 @ SV18 )
= $true )
| ( ( y @ SV18 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(225,plain,
! [SV5: a,SV18: a] :
( ( ( y @ SV18 )
= $true )
| ( ( y @ SV18 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(226,plain,
! [SV5: a,SV19: a] :
( ( ( sK2_SY4 @ SV19 )
= $true )
| ( ( sK2_SY4 @ SV19 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(227,plain,
! [SV5: a,SV19: a] :
( ( ( y @ SV19 )
= $true )
| ( ( sK2_SY4 @ SV19 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(228,plain,
! [SV5: a,SV19: a] :
( ( ( sK2_SY4 @ SV19 )
= $true )
| ( ( y @ SV19 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(229,plain,
! [SV5: a,SV19: a] :
( ( ( y @ SV19 )
= $true )
| ( ( y @ SV19 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(230,plain,
! [SV5: a,SV20: a] :
( ( ( sK2_SY4 @ SV20 )
= $true )
| ( ( sK2_SY4 @ SV20 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(231,plain,
! [SV5: a,SV20: a] :
( ( ( y @ SV20 )
= $true )
| ( ( sK2_SY4 @ SV20 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(232,plain,
! [SV5: a,SV20: a] :
( ( ( sK2_SY4 @ SV20 )
= $true )
| ( ( y @ SV20 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(233,plain,
! [SV5: a,SV20: a] :
( ( ( y @ SV20 )
= $true )
| ( ( y @ SV20 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(234,plain,
! [SV5: a,SV21: a] :
( ( ( sK2_SY4 @ SV21 )
= $true )
| ( ( sK2_SY4 @ SV21 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(235,plain,
! [SV5: a,SV21: a] :
( ( ( y @ SV21 )
= $true )
| ( ( sK2_SY4 @ SV21 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(236,plain,
! [SV5: a,SV21: a] :
( ( ( sK2_SY4 @ SV21 )
= $true )
| ( ( y @ SV21 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(237,plain,
! [SV5: a,SV21: a] :
( ( ( y @ SV21 )
= $true )
| ( ( y @ SV21 )
= $false )
| ( ( x @ SV5 )
= $false )
| ( ( x @ SV5 )
= $true )
| ( ( y @ sK1_SV1 )
= $true )
| ( ( x @ sK1_SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(238,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,181,180,179,178,177,175,173,171,169,168,167,166,153,152,151,150,147,145,143,141,138,136,134,132,93,91,89,87,84,73,71,69,67,65,63,51,38,13]) ).
thf(239,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV227^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n015.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 15:46:58 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.28
% 0.07/0.28 No.of.Axioms: 0
% 0.07/0.28
% 0.07/0.28 Length.of.Defs: 0
% 0.07/0.28
% 0.07/0.28 Contains.Choice.Funs: false
% 0.07/0.28 ..
% 0.07/0.28
% 0.07/0.28 ********************************
% 0.07/0.28 * All subproblems solved! *
% 0.07/0.28 ********************************
% 0.07/0.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:238,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.28
% 0.07/0.28 %**** Beginning of derivation protocol ****
% 0.07/0.28 % SZS output start CNFRefutation
% See solution above
% 0.07/0.29
% 0.07/0.29 %**** End of derivation protocol ****
% 0.07/0.29 %**** no. of clauses in derivation: 239 ****
% 0.07/0.29 %**** clause counter: 238 ****
% 0.07/0.29
% 0.07/0.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:238,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------