TSTP Solution File: SEU856^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU856^5 : 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 : n010.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 12:15:24 EDT 2022
% Result : Theorem 0.21s 0.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 6
% Syntax : Number of formulae : 205 ( 57 unt; 5 typ; 0 def)
% Number of atoms : 1872 ( 542 equ; 0 cnn)
% Maximal formula atoms : 4 ( 9 avg)
% Number of connectives : 2195 ( 894 ~; 570 |; 30 &; 692 @)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 165 ( 48 ^ 117 !; 0 ?; 165 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_S,type,
sK1_S: a > $o ).
thf(tp_sK2_SY4,type,
sK2_SY4: a > $o ).
thf(tp_sK3_SV3,type,
sK3_SV3: a ).
thf(tp_sK4_SV6,type,
sK4_SV6: a ).
thf(1,conjecture,
! [S: a > $o,T: a > $o] :
( ( S = T )
<=> ( ( ^ [Xz: a] :
( ( ( T @ Xz )
& ~ ( S @ Xz ) )
| ( ( S @ Xz )
& ~ ( T @ Xz ) ) ) )
= ( ^ [Xx: a] : $false ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cGAZING_THM46_pme) ).
thf(2,negated_conjecture,
( ( ! [S: a > $o,T: a > $o] :
( ( S = T )
<=> ( ( ^ [Xz: a] :
( ( ( T @ Xz )
& ~ ( S @ Xz ) )
| ( ( S @ Xz )
& ~ ( T @ Xz ) ) ) )
= ( ^ [Xx: a] : $false ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [S: a > $o,T: a > $o] :
( ( S = T )
<=> ( ( ^ [Xz: a] :
( ( ( T @ Xz )
& ~ ( S @ Xz ) )
| ( ( S @ Xz )
& ~ ( T @ Xz ) ) ) )
= ( ^ [Xx: a] : $false ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY4: a > $o] :
( ( sK1_S = SY4 )
<=> ( ( ^ [SY5: a] :
( ( ( SY4 @ SY5 )
& ~ ( sK1_S @ SY5 ) )
| ( ( sK1_S @ SY5 )
& ~ ( SY4 @ SY5 ) ) ) )
= ( ^ [Xx: a] : $false ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( sK1_S = sK2_SY4 )
<=> ( ( ^ [SY7: a] :
( ( ( sK2_SY4 @ SY7 )
& ~ ( sK1_S @ SY7 ) )
| ( ( sK1_S @ SY7 )
& ~ ( sK2_SY4 @ SY7 ) ) ) )
= ( ^ [Xx: a] : $false ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( sK1_S = sK2_SY4 )
=> ( ( ^ [SY7: a] :
( ( ( sK2_SY4 @ SY7 )
& ~ ( sK1_S @ SY7 ) )
| ( ( sK1_S @ SY7 )
& ~ ( sK2_SY4 @ SY7 ) ) ) )
= ( ^ [Xx: a] : $false ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(7,plain,
( ( ( ( ^ [SY7: a] :
( ( ( sK2_SY4 @ SY7 )
& ~ ( sK1_S @ SY7 ) )
| ( ( sK1_S @ SY7 )
& ~ ( sK2_SY4 @ SY7 ) ) ) )
= ( ^ [Xx: a] : $false ) )
=> ( sK1_S = sK2_SY4 ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(8,plain,
( ( ~ ( ( sK1_S = sK2_SY4 )
=> ( ( ^ [SY7: a] :
( ( ( sK2_SY4 @ SY7 )
& ~ ( sK1_S @ SY7 ) )
| ( ( sK1_S @ SY7 )
& ~ ( sK2_SY4 @ SY7 ) ) ) )
= ( ^ [Xx: a] : $false ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ( ( ( ^ [SY7: a] :
( ( ( sK2_SY4 @ SY7 )
& ~ ( sK1_S @ SY7 ) )
| ( ( sK1_S @ SY7 )
& ~ ( sK2_SY4 @ SY7 ) ) ) )
= ( ^ [Xx: a] : $false ) )
=> ( sK1_S = sK2_SY4 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(10,plain,
( ( ( sK1_S = sK2_SY4 )
& ( ( ^ [SY7: a] :
( ( ( sK2_SY4 @ SY7 )
& ~ ( sK1_S @ SY7 ) )
| ( ( sK1_S @ SY7 )
& ~ ( sK2_SY4 @ SY7 ) ) ) )
!= ( ^ [Xx: a] : $false ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(11,plain,
( ( ( ( ^ [SY7: a] :
( ( ( sK2_SY4 @ SY7 )
& ~ ( sK1_S @ SY7 ) )
| ( ( sK1_S @ SY7 )
& ~ ( sK2_SY4 @ SY7 ) ) ) )
= ( ^ [Xx: a] : $false ) )
& ( sK1_S != sK2_SY4 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(12,plain,
( ( ( sK1_S = sK2_SY4 )
& ( ( ^ [SY7: a] :
( ( ( sK2_SY4 @ SY7 )
& ~ ( sK1_S @ SY7 ) )
| ( ( sK1_S @ SY7 )
& ~ ( sK2_SY4 @ SY7 ) ) ) )
!= ( ^ [Xx: a] : $false ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ( ( sK1_S != sK2_SY4 )
| ~ ( ( ( ^ [SX0: a] :
( ~ ( ~ ( sK2_SY4 @ SX0 )
| ~ ~ ( sK1_S @ SX0 ) )
| ~ ( ~ ( sK1_S @ SX0 )
| ~ ~ ( sK2_SY4 @ SX0 ) ) ) )
!= ( ^ [SX0: a] : $false ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ( sK1_S != sK2_SY4 )
| ~ ( ( ( ^ [SX0: a] :
( ~ ( ~ ( sK2_SY4 @ SX0 )
| ~ ~ ( sK1_S @ SX0 ) )
| ~ ( ~ ( sK1_S @ SX0 )
| ~ ~ ( sK2_SY4 @ SX0 ) ) ) )
!= ( ^ [SX0: a] : $false ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(15,plain,
( ( ( sK1_S != sK2_SY4 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(16,plain,
( ( ~ ( ( ( ^ [SX0: a] :
( ~ ( ~ ( sK2_SY4 @ SX0 )
| ~ ~ ( sK1_S @ SX0 ) )
| ~ ( ~ ( sK1_S @ SX0 )
| ~ ~ ( sK2_SY4 @ SX0 ) ) ) )
!= ( ^ [SX0: a] : $false ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( sK1_S = sK2_SY4 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ( ( ^ [SX0: a] :
( ~ ( ~ ( sK2_SY4 @ SX0 )
| ~ ~ ( sK1_S @ SX0 ) )
| ~ ( ~ ( sK1_S @ SX0 )
| ~ ~ ( sK2_SY4 @ SX0 ) ) ) )
!= ( ^ [SX0: a] : $false ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ! [SV1: a] :
( ( sK1_S @ SV1 )
= ( sK2_SY4 @ SV1 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( sK1_S = sK2_SY4 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ( ^ [SX0: a] :
( ~ ( ~ ( sK2_SY4 @ SX0 )
| ~ ~ ( sK1_S @ SX0 ) )
| ~ ( ~ ( sK1_S @ SX0 )
| ~ ~ ( sK2_SY4 @ SX0 ) ) ) )
= ( ^ [SX0: a] : $false ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(22,plain,
! [SV2: a] :
( ( ( sK1_S @ SV2 )
= ( sK2_SY4 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ! [SV3: a] :
( ( ~ ( ~ ( sK2_SY4 @ SV3 )
| ~ ~ ( sK1_S @ SV3 ) )
| ~ ( ~ ( sK1_S @ SV3 )
| ~ ~ ( sK2_SY4 @ SV3 ) ) )
= $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ( ^ [SX0: a] :
( ~ ( ~ ( sK2_SY4 @ SX0 )
| ~ ~ ( sK1_S @ SX0 ) )
| ~ ( ~ ( sK1_S @ SX0 )
| ~ ~ ( sK2_SY4 @ SX0 ) ) ) )
= ( ^ [SX0: a] : $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[21]) ).
thf(25,plain,
! [SV2: a] :
( ( ~ ( ( sK1_S @ SV2 )
| ( sK2_SY4 @ SV2 ) )
| ~ ( ~ ( sK1_S @ SV2 )
| ~ ( sK2_SY4 @ SV2 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV2: a] :
( ( ( sK1_S @ SV2 )
= ( sK2_SY4 @ SV2 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[22]) ).
thf(27,plain,
( ( ( ~ ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) )
| ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
= $false )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[23]) ).
thf(28,plain,
! [SV2: a] :
( ( ( ~ ( ( sK1_S @ SV2 )
| ( sK2_SY4 @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_S @ SV2 )
| ~ ( sK2_SY4 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ( ~ ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) )
| ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) )
| $false )
| ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) )
| ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
| ~ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[27]) ).
thf(30,plain,
( ( ( ~ ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) )
| ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
= $false )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV2: a] :
( ( ( ( sK1_S @ SV2 )
| ( sK2_SY4 @ SV2 ) )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV2 )
| ~ ( sK2_SY4 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
( ( ~ ( ~ ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) )
| ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) )
| $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(33,plain,
( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) )
| ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
| ~ $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV2: a] :
( ( ( sK1_S @ SV2 )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV2 )
| ~ ( sK2_SY4 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(35,plain,
! [SV2: a] :
( ( ( sK2_SY4 @ SV2 )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV2 )
| ~ ( sK2_SY4 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( ~ ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) )
| ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) )
| $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(37,plain,
( ( ~ ( ~ ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) )
| ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
| ~ $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(38,plain,
! [SV2: a] :
( ( ( ~ ( sK1_S @ SV2 )
| ~ ( sK2_SY4 @ SV2 ) )
= $false )
| ( ( sK1_S @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV2: a] :
( ( ( ~ ( sK1_S @ SV2 )
| ~ ( sK2_SY4 @ SV2 ) )
= $false )
| ( ( sK2_SY4 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
( ( ( ~ ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) )
| ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(41,plain,
( ( ( ~ ( ~ ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) )
| ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) ) )
= $true )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(42,plain,
! [SV2: a] :
( ( ( ~ ( sK1_S @ SV2 ) )
= $false )
| ( ( sK1_S @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV2: a] :
( ( ( ~ ( sK2_SY4 @ SV2 ) )
= $false )
| ( ( sK1_S @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(44,plain,
! [SV2: a] :
( ( ( ~ ( sK1_S @ SV2 ) )
= $false )
| ( ( sK2_SY4 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(45,plain,
! [SV2: a] :
( ( ( ~ ( sK2_SY4 @ SV2 ) )
= $false )
| ( ( sK2_SY4 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(46,plain,
( ( ( ~ ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(47,plain,
( ( ( ~ ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) )
| ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
= $false )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(48,plain,
! [SV2: a] :
( ( ( sK1_S @ SV2 )
= $true )
| ( ( sK1_S @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(49,plain,
! [SV2: a] :
( ( ( sK2_SY4 @ SV2 )
= $true )
| ( ( sK1_S @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(50,plain,
! [SV2: a] :
( ( ( sK1_S @ SV2 )
= $true )
| ( ( sK2_SY4 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(51,plain,
! [SV2: a] :
( ( ( sK2_SY4 @ SV2 )
= $true )
| ( ( sK2_SY4 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(52,plain,
( ( ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) )
= $false )
| ( ( ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(53,plain,
( ( ( ~ ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) ) )
= $false )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(54,plain,
( ( ( ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
= $false )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(55,plain,
( ( ( ~ ( sK2_SY4 @ sK3_SV3 ) )
= $false )
| ( ( ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(56,plain,
( ( ( ~ ~ ( sK1_S @ sK3_SV3 ) )
= $false )
| ( ( ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(57,plain,
( ( ( ~ ( sK2_SY4 @ sK3_SV3 )
| ~ ~ ( sK1_S @ sK3_SV3 ) )
= $true )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(58,plain,
( ( ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) )
= $true )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(59,plain,
( ( ( sK2_SY4 @ sK3_SV3 )
= $true )
| ( ( ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(60,plain,
( ( ( ~ ( sK1_S @ sK3_SV3 ) )
= $true )
| ( ( ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(61,plain,
( ( ( ~ ( sK2_SY4 @ sK3_SV3 ) )
= $true )
| ( ( ~ ~ ( sK1_S @ sK3_SV3 ) )
= $true )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(62,plain,
( ( ( ~ ( sK1_S @ sK3_SV3 ) )
= $true )
| ( ( ~ ~ ( sK2_SY4 @ sK3_SV3 ) )
= $true )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(63,plain,
( ( ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) )
= $false )
| ( ( sK2_SY4 @ sK3_SV3 )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(64,plain,
( ( ( sK1_S @ sK3_SV3 )
= $false )
| ( ( ~ ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(65,plain,
( ( ( sK2_SY4 @ sK3_SV3 )
= $false )
| ( ( ~ ~ ( sK1_S @ sK3_SV3 ) )
= $true )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
( ( ( sK1_S @ sK3_SV3 )
= $false )
| ( ( ~ ~ ( sK2_SY4 @ sK3_SV3 ) )
= $true )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(67,plain,
( ( ( ~ ( sK1_S @ sK3_SV3 ) )
= $false )
| ( ( sK2_SY4 @ sK3_SV3 )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(68,plain,
( ( ( ~ ~ ( sK2_SY4 @ sK3_SV3 ) )
= $false )
| ( ( sK2_SY4 @ sK3_SV3 )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(69,plain,
( ( ( ~ ( sK1_S @ sK3_SV3 )
| ~ ~ ( sK2_SY4 @ sK3_SV3 ) )
= $false )
| ( ( sK1_S @ sK3_SV3 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(70,plain,
( ( ( ~ ( sK1_S @ sK3_SV3 ) )
= $false )
| ( ( sK2_SY4 @ sK3_SV3 )
= $false )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(71,plain,
( ( ( ~ ( sK2_SY4 @ sK3_SV3 ) )
= $false )
| ( ( sK1_S @ sK3_SV3 )
= $false )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(72,plain,
( ( ( sK1_S @ sK3_SV3 )
= $true )
| ( ( sK2_SY4 @ sK3_SV3 )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(73,plain,
( ( ( ~ ( sK2_SY4 @ sK3_SV3 ) )
= $true )
| ( ( sK2_SY4 @ sK3_SV3 )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(74,plain,
( ( ( ~ ( sK1_S @ sK3_SV3 ) )
= $false )
| ( ( sK1_S @ sK3_SV3 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(75,plain,
( ( ( ~ ~ ( sK2_SY4 @ sK3_SV3 ) )
= $false )
| ( ( sK1_S @ sK3_SV3 )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(76,plain,
( ( ( sK1_S @ sK3_SV3 )
= $true )
| ( ( sK2_SY4 @ sK3_SV3 )
= $false )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(77,plain,
( ( ( sK2_SY4 @ sK3_SV3 )
= $true )
| ( ( sK1_S @ sK3_SV3 )
= $false )
| ( ( ~ $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(78,plain,
( ( ( sK2_SY4 @ sK3_SV3 )
= $false )
| ( ( sK2_SY4 @ sK3_SV3 )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(79,plain,
( ( ( sK1_S @ sK3_SV3 )
= $true )
| ( ( sK1_S @ sK3_SV3 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(80,plain,
( ( ( ~ ( sK2_SY4 @ sK3_SV3 ) )
= $true )
| ( ( sK1_S @ sK3_SV3 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(81,plain,
( ( $false = $false )
| ( ( sK2_SY4 @ sK3_SV3 )
= $false )
| ( ( sK1_S @ sK3_SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(82,plain,
( ( $false = $false )
| ( ( sK1_S @ sK3_SV3 )
= $false )
| ( ( sK2_SY4 @ sK3_SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(83,plain,
( ( ( sK2_SY4 @ sK3_SV3 )
= $false )
| ( ( sK1_S @ sK3_SV3 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(84,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,83,82,81,79,78,72,51,50,49,48,30,26,24]) ).
thf(85,plain,
( ( ( ( ^ [SY7: a] :
( ( ( sK2_SY4 @ SY7 )
& ~ ( sK1_S @ SY7 ) )
| ( ( sK1_S @ SY7 )
& ~ ( sK2_SY4 @ SY7 ) ) ) )
= ( ^ [Xx: a] : $false ) )
& ( sK1_S != sK2_SY4 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(86,plain,
( ( ~ ( ( ( ^ [SX0: a] :
( ~ ( ~ ( sK2_SY4 @ SX0 )
| ~ ~ ( sK1_S @ SX0 ) )
| ~ ( ~ ( sK1_S @ SX0 )
| ~ ~ ( sK2_SY4 @ SX0 ) ) ) )
!= ( ^ [SX0: a] : $false ) )
| ~ ( ( sK1_S != sK2_SY4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(87,plain,
( ( ( ( ^ [SX0: a] :
( ~ ( ~ ( sK2_SY4 @ SX0 )
| ~ ~ ( sK1_S @ SX0 ) )
| ~ ( ~ ( sK1_S @ SX0 )
| ~ ~ ( sK2_SY4 @ SX0 ) ) ) )
!= ( ^ [SX0: a] : $false ) )
| ~ ( ( sK1_S != sK2_SY4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(88,plain,
( ( ( ( ^ [SX0: a] :
( ~ ( ~ ( sK2_SY4 @ SX0 )
| ~ ~ ( sK1_S @ SX0 ) )
| ~ ( ~ ( sK1_S @ SX0 )
| ~ ~ ( sK2_SY4 @ SX0 ) ) ) )
!= ( ^ [SX0: a] : $false ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(89,plain,
( ( ~ ( ( sK1_S != sK2_SY4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(90,plain,
( ( ( ^ [SX0: a] :
( ~ ( ~ ( sK2_SY4 @ SX0 )
| ~ ~ ( sK1_S @ SX0 ) )
| ~ ( ~ ( sK1_S @ SX0 )
| ~ ~ ( sK2_SY4 @ SX0 ) ) ) )
= ( ^ [SX0: a] : $false ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(91,plain,
( ( ( sK1_S != sK2_SY4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(92,plain,
( ( ! [SV4: a] :
( ( ~ ( ~ ( sK2_SY4 @ SV4 )
| ~ ~ ( sK1_S @ SV4 ) )
| ~ ( ~ ( sK1_S @ SV4 )
| ~ ~ ( sK2_SY4 @ SV4 ) ) )
= $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[90]) ).
thf(93,plain,
( ( ( ^ [SX0: a] :
( ~ ( ~ ( sK2_SY4 @ SX0 )
| ~ ~ ( sK1_S @ SX0 ) )
| ~ ( ~ ( sK1_S @ SX0 )
| ~ ~ ( sK2_SY4 @ SX0 ) ) ) )
= ( ^ [SX0: a] : $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[90]) ).
thf(94,plain,
( ( sK1_S = sK2_SY4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(95,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $false )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(96,plain,
( ( ! [SV6: a] :
( ( sK1_S @ SV6 )
= ( sK2_SY4 @ SV6 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[94]) ).
thf(97,plain,
( ( sK1_S = sK2_SY4 )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[94]) ).
thf(98,plain,
! [SV5: a] :
( ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) )
| $false )
| ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[95]) ).
thf(99,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $false )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[95]) ).
thf(100,plain,
( ( ( sK1_S @ sK4_SV6 )
= ( sK2_SY4 @ sK4_SV6 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[96]) ).
thf(101,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) )
| $false ) )
= $true )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(102,plain,
( ( ~ ( ( sK1_S @ sK4_SV6 )
| ( sK2_SY4 @ sK4_SV6 ) )
| ~ ( ~ ( sK1_S @ sK4_SV6 )
| ~ ( sK2_SY4 @ sK4_SV6 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[100]) ).
thf(103,plain,
( ( ( sK1_S @ sK4_SV6 )
= ( sK2_SY4 @ sK4_SV6 ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[100]) ).
thf(104,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) )
| $false )
= $false )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(105,plain,
( ( ~ ( ( sK1_S @ sK4_SV6 )
| ( sK2_SY4 @ sK4_SV6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(106,plain,
( ( ~ ( ~ ( sK1_S @ sK4_SV6 )
| ~ ( sK2_SY4 @ sK4_SV6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(107,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(108,plain,
! [SV5: a] :
( ( $false = $false )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(109,plain,
( ( ( sK1_S @ sK4_SV6 )
| ( sK2_SY4 @ sK4_SV6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(110,plain,
( ( ~ ( sK1_S @ sK4_SV6 )
| ~ ( sK2_SY4 @ sK4_SV6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(111,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(112,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(113,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(114,plain,
( ( ( sK1_S @ sK4_SV6 )
= $true )
| ( ( sK2_SY4 @ sK4_SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(115,plain,
( ( ( ~ ( sK1_S @ sK4_SV6 ) )
= $true )
| ( ( ~ ( sK2_SY4 @ sK4_SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(116,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(117,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(118,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(119,plain,
( ( ( ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(120,plain,
( ( ( sK1_S @ sK4_SV6 )
= $false )
| ( ( ~ ( sK2_SY4 @ sK4_SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(121,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 ) )
= $true )
| ( ( ~ ~ ( sK1_S @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(122,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 ) )
= $true )
| ( ( ~ ~ ( sK2_SY4 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(123,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(124,plain,
( ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(125,plain,
( ( ( sK2_SY4 @ sK4_SV6 )
= $false )
| ( ( sK1_S @ sK4_SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(126,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( ~ ~ ( sK1_S @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(127,plain,
! [SV5: a] :
( ( ( sK1_S @ SV5 )
= $false )
| ( ( ~ ~ ( sK2_SY4 @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(128,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( $false = $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(129,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(130,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(131,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(132,plain,
! [SV5: a] :
( ( ( sK1_S @ SV5 )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(133,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( ~ ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(134,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(135,plain,
! [SV5: a] :
( ( ( ~ ~ ( sK1_S @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(136,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(137,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
| ~ $false )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(138,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(139,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(140,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(141,plain,
! [SV5: a] :
( ( ( ~ $false )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(142,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) ) )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(143,plain,
! [SV5: a] :
( ( ( ~ $false )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(144,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(145,plain,
! [SV5: a] :
( ( ( sK1_S @ SV5 )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(146,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(147,plain,
! [SV5: a] :
( ( $false = $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(148,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
| ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(149,plain,
! [SV5: a] :
( ( $false = $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(150,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(151,plain,
! [SV5: a] :
( ( ( ~ ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(152,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(153,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(154,plain,
! [SV5: a] :
( ( ( ~ ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(155,plain,
! [SV5: a] :
( ( ( sK1_S @ SV5 )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(156,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(157,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 ) )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(158,plain,
! [SV5: a] :
( ( ( ~ ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(159,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(160,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 )
| ~ ~ ( sK1_S @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(161,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(162,plain,
! [SV5: a] :
( ( ( sK1_S @ SV5 )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(163,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 ) )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(164,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(165,plain,
! [SV5: a] :
( ( ( ~ ~ ( sK1_S @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(166,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(167,plain,
! [SV5: a] :
( ( ( ~ ~ ( sK1_S @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(168,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(169,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(170,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(171,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(172,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(173,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(174,plain,
! [SV5: a] :
( ( ( sK1_S @ SV5 )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(175,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(176,plain,
! [SV5: a] :
( ( ( sK1_S @ SV5 )
= $false )
| ( ( ~ ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) ) )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(177,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(178,plain,
! [SV5: a] :
( ( ( ~ ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(179,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(180,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(181,plain,
! [SV5: a] :
( ( ( ~ ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(182,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 )
| ~ ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(183,plain,
! [SV5: a] :
( ( ( sK1_S @ SV5 )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(184,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(185,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 ) )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(186,plain,
! [SV5: a] :
( ( ( ~ ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(187,plain,
! [SV5: a] :
( ( ( sK1_S @ SV5 )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(188,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 ) )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(189,plain,
! [SV5: a] :
( ( ( ~ ( sK1_S @ SV5 ) )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(190,plain,
! [SV5: a] :
( ( ( ~ ~ ( sK2_SY4 @ SV5 ) )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(191,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(192,plain,
! [SV5: a] :
( ( ( sK1_S @ SV5 )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(193,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 ) )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(194,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(195,plain,
! [SV5: a] :
( ( ( sK1_S @ SV5 )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(196,plain,
! [SV5: a] :
( ( ( ~ ( sK2_SY4 @ SV5 ) )
= $true )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(197,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(198,plain,
! [SV5: a] :
( ( ( sK2_SY4 @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK1_S @ SV5 )
= $false )
| ( ( sK2_SY4 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(199,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[93,198,197,195,194,192,191,187,183,168,162,161,155,149,147,125,124,114,103,99,97]) ).
thf(200,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[199,84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU856^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 01:27:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (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)..
% 0.21/0.40
% 0.21/0.40 ********************************
% 0.21/0.40 * All subproblems solved! *
% 0.21/0.40 ********************************
% 0.21/0.40 % SZS status Theorem for /export/starexec/sandbox2/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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:199,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.43
% 0.21/0.43 %**** Beginning of derivation protocol ****
% 0.21/0.43 % SZS output start CNFRefutation
% See solution above
% 0.21/0.43
% 0.21/0.43 %**** End of derivation protocol ****
% 0.21/0.43 %**** no. of clauses in derivation: 200 ****
% 0.21/0.43 %**** clause counter: 199 ****
% 0.21/0.43
% 0.21/0.43 % SZS status Theorem for /export/starexec/sandbox2/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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:199,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------