TSTP Solution File: SEU895^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU895^5 : 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 : n029.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 12:15:39 EDT 2022
% Result : Theorem 0.18s 0.42s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 14
% Syntax : Number of formulae : 137 ( 19 unt; 13 typ; 0 def)
% Number of atoms : 1345 ( 647 equ; 0 cnn)
% Maximal formula atoms : 4 ( 10 avg)
% Number of connectives : 1868 ( 756 ~; 471 |; 18 &; 623 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 224 ( 18 ^ 188 !; 18 ?; 224 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_f,type,
f: b > a ).
thf(tp_sK1_SV1,type,
sK1_SV1: a ).
thf(tp_sK2_SY8,type,
sK2_SY8: b ).
thf(tp_sK3_SY9,type,
sK3_SY9: b ).
thf(tp_sK4_SY9,type,
sK4_SY9: b ).
thf(tp_sK5_SY10,type,
sK5_SY10: b ).
thf(tp_sK6_SY10,type,
sK6_SY10: b ).
thf(tp_sK7_SY10,type,
sK7_SY10: b ).
thf(tp_sK8_SY10,type,
sK8_SY10: b ).
thf(tp_x,type,
x: b > $o ).
thf(tp_y,type,
y: b > $o ).
thf(1,conjecture,
( ( ^ [Xz: a] :
? [Xt: b] :
( ( ( x @ Xt )
| ( y @ Xt ) )
& ( Xz
= ( f @ Xt ) ) ) )
= ( ^ [Xz: a] :
( ? [Xt: b] :
( ( x @ Xt )
& ( Xz
= ( f @ Xt ) ) )
| ? [Xt: b] :
( ( y @ Xt )
& ( Xz
= ( f @ Xt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX5202_pme) ).
thf(2,negated_conjecture,
( ( ( ^ [Xz: a] :
? [Xt: b] :
( ( ( x @ Xt )
| ( y @ Xt ) )
& ( Xz
= ( f @ Xt ) ) ) )
= ( ^ [Xz: a] :
( ? [Xt: b] :
( ( x @ Xt )
& ( Xz
= ( f @ Xt ) ) )
| ? [Xt: b] :
( ( y @ Xt )
& ( Xz
= ( f @ Xt ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ^ [Xz: a] :
? [Xt: b] :
( ( ( x @ Xt )
| ( y @ Xt ) )
& ( Xz
= ( f @ Xt ) ) ) )
= ( ^ [Xz: a] :
( ? [Xt: b] :
( ( x @ Xt )
& ( Xz
= ( f @ Xt ) ) )
| ? [Xt: b] :
( ( y @ Xt )
& ( Xz
= ( f @ Xt ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ( ^ [Xz: a] :
? [Xt: b] :
( ( ( x @ Xt )
| ( y @ Xt ) )
& ( Xz
= ( f @ Xt ) ) ) )
!= ( ^ [Xz: a] :
( ? [Xt: b] :
( ( x @ Xt )
& ( Xz
= ( f @ Xt ) ) )
| ? [Xt: b] :
( ( y @ Xt )
& ( Xz
= ( f @ Xt ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ( ( ^ [Xz: a] :
? [Xt: b] :
( ( Xz
= ( f @ Xt ) )
& ( ( x @ Xt )
| ( y @ Xt ) ) ) )
!= ( ^ [Xz: a] :
( ? [Xt: b] :
( ( Xz
= ( f @ Xt ) )
& ( x @ Xt ) )
| ? [Xt: b] :
( ( Xz
= ( f @ Xt ) )
& ( y @ Xt ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ( ^ [Xz: a] :
? [Xt: b] :
( ( Xz
= ( f @ Xt ) )
& ( ( x @ Xt )
| ( y @ Xt ) ) ) )
!= ( ^ [Xz: a] :
( ? [Xt: b] :
( ( Xz
= ( f @ Xt ) )
& ( x @ Xt ) )
| ? [Xt: b] :
( ( Xz
= ( f @ Xt ) )
& ( y @ Xt ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ( ( ^ [SX0: a] :
~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( ( x @ SX1 )
| ( y @ SX1 ) ) ) )
!= ( ^ [SX0: a] :
( ~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( x @ SX1 ) )
| ~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( y @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ( ^ [SX0: a] :
~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( ( x @ SX1 )
| ( y @ SX1 ) ) ) )
= ( ^ [SX0: a] :
( ~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( x @ SX1 ) )
| ~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( y @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SV1: a] :
( ( ~ ! [SY5: b] :
~ ~ ( ( SV1
!= ( f @ SY5 ) )
| ~ ( ( x @ SY5 )
| ( y @ SY5 ) ) ) )
= ( ~ ! [SY6: b] :
~ ~ ( ( SV1
!= ( f @ SY6 ) )
| ~ ( x @ SY6 ) )
| ~ ! [SY7: b] :
~ ~ ( ( SV1
!= ( f @ SY7 ) )
| ~ ( y @ SY7 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[8]) ).
thf(10,plain,
( ( ( ^ [SX0: a] :
~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( ( x @ SX1 )
| ( y @ SX1 ) ) ) )
= ( ^ [SX0: a] :
( ~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( x @ SX1 ) )
| ~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( y @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ( ~ ! [SY8: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY8 ) )
| ~ ( ( x @ SY8 )
| ( y @ SY8 ) ) ) )
= ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(12,plain,
( ( ~ ( ~ ! [SY8: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY8 ) )
| ~ ( ( x @ SY8 )
| ( y @ SY8 ) ) )
| ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
| ~ ( ~ ~ ! [SY8: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY8 ) )
| ~ ( ( x @ SY8 )
| ( y @ SY8 ) ) )
| ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[11]) ).
thf(13,plain,
( ( ( ~ ! [SY8: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY8 ) )
| ~ ( ( x @ SY8 )
| ( y @ SY8 ) ) ) )
= ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( ~ ! [SY8: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY8 ) )
| ~ ( ( x @ SY8 )
| ( y @ SY8 ) ) )
| ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ~ ! [SY8: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY8 ) )
| ~ ( ( x @ SY8 )
| ( y @ SY8 ) ) )
| ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(16,plain,
( ( ~ ! [SY8: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY8 ) )
| ~ ( ( x @ SY8 )
| ( y @ SY8 ) ) )
| ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ! [SY8: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY8 ) )
| ~ ( ( x @ SY8 )
| ( y @ SY8 ) ) )
| ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ( ~ ! [SY8: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY8 ) )
| ~ ( ( x @ SY8 )
| ( y @ SY8 ) ) ) )
= $true )
| ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ( ~ ~ ! [SY8: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY8 ) )
| ~ ( ( x @ SY8 )
| ( y @ SY8 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( ( ! [SY8: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY8 ) )
| ~ ( ( x @ SY8 )
| ( y @ SY8 ) ) ) )
= $false )
| ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ( ~ ! [SY8: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY8 ) )
| ~ ( ( x @ SY8 )
| ( y @ SY8 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ sK2_SY8 ) )
| ~ ( ( x @ sK2_SY8 )
| ( y @ sK2_SY8 ) ) ) )
= $false )
| ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(23,plain,
( ( ( ! [SY8: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY8 ) )
| ~ ( ( x @ SY8 )
| ( y @ SY8 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ( ~ ( ( sK1_SV1
!= ( f @ sK2_SY8 ) )
| ~ ( ( x @ sK2_SY8 )
| ( y @ sK2_SY8 ) ) ) )
= $true )
| ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(25,plain,
! [SV2: b] :
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ SV2 ) )
| ~ ( ( x @ SV2 )
| ( y @ SV2 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(26,plain,
( ( ( ( sK1_SV1
!= ( f @ sK2_SY8 ) )
| ~ ( ( x @ sK2_SY8 )
| ( y @ sK2_SY8 ) ) )
= $false )
| ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV2: b] :
( ( ( ~ ( ( sK1_SV1
!= ( f @ SV2 ) )
| ~ ( ( x @ SV2 )
| ( y @ SV2 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
( ( ( ( sK1_SV1
!= ( f @ sK2_SY8 ) ) )
= $false )
| ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
( ( ( ~ ( ( x @ sK2_SY8 )
| ( y @ sK2_SY8 ) ) )
= $false )
| ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: b] :
( ( ( ( sK1_SV1
!= ( f @ SV2 ) )
| ~ ( ( x @ SV2 )
| ( y @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
( ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true )
| ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(32,plain,
( ( ( ( x @ sK2_SY8 )
| ( y @ sK2_SY8 ) )
= $true )
| ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: b] :
( ( ( ( sK1_SV1
!= ( f @ SV2 ) ) )
= $true )
| ( ( ~ ( ( x @ SV2 )
| ( y @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) ) )
= $true )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(35,plain,
( ( ( x @ sK2_SY8 )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV2: b] :
( ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( ~ ( ( x @ SV2 )
| ( y @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
( ( ( ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) ) )
= $false )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(38,plain,
( ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) ) )
= $true )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV2: b] :
( ( ( ( x @ SV2 )
| ( y @ SV2 ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(40,plain,
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ sK3_SY9 ) )
| ~ ( x @ sK3_SY9 ) ) )
= $false )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[37]) ).
thf(41,plain,
( ( ( ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) ) )
= $false )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(42,plain,
! [SV2: b] :
( ( ( x @ SV2 )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(43,plain,
! [SV2: b] :
( ( ( y @ SV2 )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( ~ ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(44,plain,
( ( ( ~ ( ( sK1_SV1
!= ( f @ sK3_SY9 ) )
| ~ ( x @ sK3_SY9 ) ) )
= $true )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(45,plain,
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ sK4_SY9 ) )
| ~ ( x @ sK4_SY9 ) ) )
= $false )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[41]) ).
thf(46,plain,
! [SV2: b] :
( ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV2: b] :
( ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) )
| ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(48,plain,
( ( ( ( sK1_SV1
!= ( f @ sK3_SY9 ) )
| ~ ( x @ sK3_SY9 ) )
= $false )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(49,plain,
( ( ( ~ ( ( sK1_SV1
!= ( f @ sK4_SY9 ) )
| ~ ( x @ sK4_SY9 ) ) )
= $true )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(50,plain,
! [SV2: b] :
( ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(51,plain,
! [SV2: b] :
( ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(52,plain,
! [SV2: b] :
( ( ( ~ ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(53,plain,
! [SV2: b] :
( ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(54,plain,
( ( ( ( sK1_SV1
!= ( f @ sK3_SY9 ) ) )
= $false )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(55,plain,
( ( ( ~ ( x @ sK3_SY9 ) )
= $false )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(56,plain,
( ( ( ( sK1_SV1
!= ( f @ sK4_SY9 ) )
| ~ ( x @ sK4_SY9 ) )
= $false )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV2: b] :
( ( ( ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(58,plain,
! [SV2: b] :
( ( ( ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(59,plain,
! [SV2: b] :
( ( ( ! [SY9: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY9 ) )
| ~ ( x @ SY9 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(60,plain,
! [SV2: b] :
( ( ( ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(61,plain,
( ( ( sK1_SV1
= ( f @ sK3_SY9 ) )
= $true )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(62,plain,
( ( ( x @ sK3_SY9 )
= $true )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(63,plain,
( ( ( ( sK1_SV1
!= ( f @ sK4_SY9 ) ) )
= $false )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(64,plain,
( ( ( ~ ( x @ sK4_SY9 ) )
= $false )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(65,plain,
! [SV2: b,SV3: b] :
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ SV3 ) )
| ~ ( x @ SV3 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(66,plain,
! [SV2: b,SV4: b] :
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ SV4 ) )
| ~ ( y @ SV4 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(67,plain,
! [SV2: b,SV5: b] :
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ SV5 ) )
| ~ ( x @ SV5 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(68,plain,
! [SV2: b,SV6: b] :
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ SV6 ) )
| ~ ( y @ SV6 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(69,plain,
( ( ( ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK3_SY9 ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(70,plain,
( ( ( ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $false )
| ( ( x @ sK3_SY9 )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(71,plain,
( ( ( sK1_SV1
= ( f @ sK4_SY9 ) )
= $true )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(72,plain,
( ( ( x @ sK4_SY9 )
= $true )
| ( ( ~ ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(73,plain,
! [SV2: b,SV3: b] :
( ( ( ~ ( ( sK1_SV1
!= ( f @ SV3 ) )
| ~ ( x @ SV3 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(74,plain,
! [SV2: b,SV4: b] :
( ( ( ~ ( ( sK1_SV1
!= ( f @ SV4 ) )
| ~ ( y @ SV4 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(75,plain,
! [SV2: b,SV5: b] :
( ( ( ~ ( ( sK1_SV1
!= ( f @ SV5 ) )
| ~ ( x @ SV5 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(76,plain,
! [SV2: b,SV6: b] :
( ( ( ~ ( ( sK1_SV1
!= ( f @ SV6 ) )
| ~ ( y @ SV6 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(77,plain,
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ sK5_SY10 ) )
| ~ ( y @ sK5_SY10 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK3_SY9 ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[69]) ).
thf(78,plain,
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ sK6_SY10 ) )
| ~ ( y @ sK6_SY10 ) ) )
= $false )
| ( ( x @ sK3_SY9 )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[70]) ).
thf(79,plain,
( ( ( ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK4_SY9 ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(80,plain,
( ( ( ! [SY10: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY10 ) )
| ~ ( y @ SY10 ) ) )
= $false )
| ( ( x @ sK4_SY9 )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(81,plain,
! [SV2: b,SV3: b] :
( ( ( ( sK1_SV1
!= ( f @ SV3 ) )
| ~ ( x @ SV3 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(82,plain,
! [SV2: b,SV4: b] :
( ( ( ( sK1_SV1
!= ( f @ SV4 ) )
| ~ ( y @ SV4 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(83,plain,
! [SV2: b,SV5: b] :
( ( ( ( sK1_SV1
!= ( f @ SV5 ) )
| ~ ( x @ SV5 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(84,plain,
! [SV2: b,SV6: b] :
( ( ( ( sK1_SV1
!= ( f @ SV6 ) )
| ~ ( y @ SV6 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(85,plain,
( ( ( ~ ( ( sK1_SV1
!= ( f @ sK5_SY10 ) )
| ~ ( y @ sK5_SY10 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK3_SY9 ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(86,plain,
( ( ( ~ ( ( sK1_SV1
!= ( f @ sK6_SY10 ) )
| ~ ( y @ sK6_SY10 ) ) )
= $true )
| ( ( x @ sK3_SY9 )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(87,plain,
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ sK7_SY10 ) )
| ~ ( y @ sK7_SY10 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK4_SY9 ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[79]) ).
thf(88,plain,
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ sK8_SY10 ) )
| ~ ( y @ sK8_SY10 ) ) )
= $false )
| ( ( x @ sK4_SY9 )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[80]) ).
thf(89,plain,
! [SV2: b,SV3: b] :
( ( ( ( sK1_SV1
!= ( f @ SV3 ) ) )
= $true )
| ( ( ~ ( x @ SV3 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(90,plain,
! [SV2: b,SV4: b] :
( ( ( ( sK1_SV1
!= ( f @ SV4 ) ) )
= $true )
| ( ( ~ ( y @ SV4 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(91,plain,
! [SV2: b,SV5: b] :
( ( ( ( sK1_SV1
!= ( f @ SV5 ) ) )
= $true )
| ( ( ~ ( x @ SV5 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(92,plain,
! [SV2: b,SV6: b] :
( ( ( ( sK1_SV1
!= ( f @ SV6 ) ) )
= $true )
| ( ( ~ ( y @ SV6 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(93,plain,
( ( ( ( sK1_SV1
!= ( f @ sK5_SY10 ) )
| ~ ( y @ sK5_SY10 ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK3_SY9 ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(94,plain,
( ( ( ( sK1_SV1
!= ( f @ sK6_SY10 ) )
| ~ ( y @ sK6_SY10 ) )
= $false )
| ( ( x @ sK3_SY9 )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(95,plain,
( ( ( ~ ( ( sK1_SV1
!= ( f @ sK7_SY10 ) )
| ~ ( y @ sK7_SY10 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK4_SY9 ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(96,plain,
( ( ( ~ ( ( sK1_SV1
!= ( f @ sK8_SY10 ) )
| ~ ( y @ sK8_SY10 ) ) )
= $true )
| ( ( x @ sK4_SY9 )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(97,plain,
! [SV2: b,SV3: b] :
( ( ( sK1_SV1
= ( f @ SV3 ) )
= $false )
| ( ( ~ ( x @ SV3 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(98,plain,
! [SV2: b,SV4: b] :
( ( ( sK1_SV1
= ( f @ SV4 ) )
= $false )
| ( ( ~ ( y @ SV4 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(99,plain,
! [SV2: b,SV5: b] :
( ( ( sK1_SV1
= ( f @ SV5 ) )
= $false )
| ( ( ~ ( x @ SV5 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(100,plain,
! [SV2: b,SV6: b] :
( ( ( sK1_SV1
= ( f @ SV6 ) )
= $false )
| ( ( ~ ( y @ SV6 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(101,plain,
( ( ( ( sK1_SV1
!= ( f @ sK5_SY10 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK3_SY9 ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(102,plain,
( ( ( ~ ( y @ sK5_SY10 ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK3_SY9 ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(103,plain,
( ( ( ( sK1_SV1
!= ( f @ sK6_SY10 ) ) )
= $false )
| ( ( x @ sK3_SY9 )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(104,plain,
( ( ( ~ ( y @ sK6_SY10 ) )
= $false )
| ( ( x @ sK3_SY9 )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(105,plain,
( ( ( ( sK1_SV1
!= ( f @ sK7_SY10 ) )
| ~ ( y @ sK7_SY10 ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK4_SY9 ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(106,plain,
( ( ( ( sK1_SV1
!= ( f @ sK8_SY10 ) )
| ~ ( y @ sK8_SY10 ) )
= $false )
| ( ( x @ sK4_SY9 )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(107,plain,
! [SV2: b,SV3: b] :
( ( ( x @ SV3 )
= $false )
| ( ( sK1_SV1
= ( f @ SV3 ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(108,plain,
! [SV2: b,SV4: b] :
( ( ( y @ SV4 )
= $false )
| ( ( sK1_SV1
= ( f @ SV4 ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( x @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(109,plain,
! [SV2: b,SV5: b] :
( ( ( x @ SV5 )
= $false )
| ( ( sK1_SV1
= ( f @ SV5 ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(110,plain,
! [SV2: b,SV6: b] :
( ( ( y @ SV6 )
= $false )
| ( ( sK1_SV1
= ( f @ SV6 ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( y @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(111,plain,
( ( ( sK1_SV1
= ( f @ sK5_SY10 ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK3_SY9 ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(112,plain,
( ( ( y @ sK5_SY10 )
= $true )
| ( ( sK1_SV1
= ( f @ sK3_SY9 ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(113,plain,
( ( ( sK1_SV1
= ( f @ sK6_SY10 ) )
= $true )
| ( ( x @ sK3_SY9 )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(114,plain,
( ( ( y @ sK6_SY10 )
= $true )
| ( ( x @ sK3_SY9 )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(115,plain,
( ( ( ( sK1_SV1
!= ( f @ sK7_SY10 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK4_SY9 ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(116,plain,
( ( ( ~ ( y @ sK7_SY10 ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK4_SY9 ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(117,plain,
( ( ( ( sK1_SV1
!= ( f @ sK8_SY10 ) ) )
= $false )
| ( ( x @ sK4_SY9 )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(118,plain,
( ( ( ~ ( y @ sK8_SY10 ) )
= $false )
| ( ( x @ sK4_SY9 )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(119,plain,
( ( ( sK1_SV1
= ( f @ sK7_SY10 ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK4_SY9 ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(120,plain,
( ( ( y @ sK7_SY10 )
= $true )
| ( ( sK1_SV1
= ( f @ sK4_SY9 ) )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(121,plain,
( ( ( sK1_SV1
= ( f @ sK8_SY10 ) )
= $true )
| ( ( x @ sK4_SY9 )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(122,plain,
( ( ( y @ sK8_SY10 )
= $true )
| ( ( x @ sK4_SY9 )
= $true )
| ( ( y @ sK2_SY8 )
= $true )
| ( ( x @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(123,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,122,121,120,119,114,113,112,111,110,109,108,107,13]) ).
thf(124,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU895^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 01:51:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (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).....
% 0.18/0.42
% 0.18/0.42 ********************************
% 0.18/0.42 * All subproblems solved! *
% 0.18/0.42 ********************************
% 0.18/0.42 % 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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:123,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.43
% 0.18/0.43 %**** Beginning of derivation protocol ****
% 0.18/0.43 % SZS output start CNFRefutation
% See solution above
% 0.18/0.43
% 0.18/0.43 %**** End of derivation protocol ****
% 0.18/0.43 %**** no. of clauses in derivation: 124 ****
% 0.18/0.43 %**** clause counter: 123 ****
% 0.18/0.43
% 0.18/0.43 % 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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:123,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------