TSTP Solution File: SWV541-1.004 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV541-1.004 : 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 : n012.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 : Wed Jul 20 20:13:30 EDT 2022
% Result : Unsatisfiable 0.51s 0.88s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 30 unt; 7 typ; 0 def)
% Number of atoms : 105 ( 66 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 4228 ( 6 ~; 9 |; 0 &;4213 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 7 con; 0-3 aty)
% Number of variables : 72 ( 0 ^ 72 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a1,type,
a1: $i ).
thf(tp_i0,type,
i0: $i ).
thf(tp_i1,type,
i1: $i ).
thf(tp_i2,type,
i2: $i ).
thf(tp_i3,type,
i3: $i ).
thf(tp_select,type,
select: $i > $i > $i ).
thf(tp_store,type,
store: $i > $i > $i > $i ).
thf(1,axiom,
! [A: $i,I: $i,J: $i] :
( ( store @ ( store @ A @ I @ ( select @ A @ J ) ) @ J @ ( select @ A @ I ) )
= ( store @ ( store @ A @ J @ ( select @ A @ I ) ) @ I @ ( select @ A @ J ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
thf(2,axiom,
! [I: $i,J: $i,A: $i,E: $i] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
thf(3,axiom,
! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
thf(4,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(5,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,negated_conjecture,
( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i2 ) )
!= ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i0 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(7,plain,
$false = $false,
inference(unfold_def,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [A: $i,I: $i,J: $i] :
( ( store @ ( store @ A @ I @ ( select @ A @ J ) ) @ J @ ( select @ A @ I ) )
= ( store @ ( store @ A @ J @ ( select @ A @ I ) ) @ I @ ( select @ A @ J ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( ! [I: $i,J: $i,A: $i,E: $i] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(10,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(11,plain,
( ( ( ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i2 ) )
!= ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i0 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(12,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(13,plain,
( ( ! [I: $i,J: $i] :
( ( I = J )
| ! [A: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(14,plain,
( ( ( ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i2 ) )
!= ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i0 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(15,plain,
( ( ( ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i2 ) )
!= ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i0 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(17,plain,
( ( ! [I: $i,J: $i] :
( ( I = J )
| ! [A: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(18,plain,
( ( ! [A: $i,I: $i,J: $i] :
( ( store @ ( store @ A @ I @ ( select @ A @ J ) ) @ J @ ( select @ A @ I ) )
= ( store @ ( store @ A @ J @ ( select @ A @ I ) ) @ I @ ( select @ A @ J ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(19,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(20,plain,
( ( ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i3 ) ) @ i2 ) )
= ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i0 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i2 ) ) @ i2 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i0 ) ) @ i0 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a1 @ i1 ) ) @ i1 @ ( select @ a1 @ i1 ) ) @ i3 ) ) @ i3 ) ) @ i0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(21,plain,
! [SV1: $i] :
( ( ! [SY10: $i,SY11: $i] :
( ( select @ ( store @ SV1 @ SY10 @ SY11 ) @ SY10 )
= SY11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(22,plain,
! [SV2: $i] :
( ( ! [SY12: $i] :
( ( SV2 = SY12 )
| ! [SY13: $i,SY14: $i] :
( ( select @ ( store @ SY13 @ SV2 @ SY14 ) @ SY12 )
= ( select @ SY13 @ SY12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(23,plain,
! [SV3: $i] :
( ( ! [SY15: $i,SY16: $i] :
( ( store @ ( store @ SV3 @ SY15 @ ( select @ SV3 @ SY16 ) ) @ SY16 @ ( select @ SV3 @ SY15 ) )
= ( store @ ( store @ SV3 @ SY16 @ ( select @ SV3 @ SY15 ) ) @ SY15 @ ( select @ SV3 @ SY16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(24,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(25,plain,
! [SV4: $i,SV1: $i] :
( ( ! [SY17: $i] :
( ( select @ ( store @ SV1 @ SV4 @ SY17 ) @ SV4 )
= SY17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV5: $i,SV2: $i] :
( ( ( SV2 = SV5 )
| ! [SY18: $i,SY19: $i] :
( ( select @ ( store @ SY18 @ SV2 @ SY19 ) @ SV5 )
= ( select @ SY18 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV6: $i,SV3: $i] :
( ( ! [SY20: $i] :
( ( store @ ( store @ SV3 @ SV6 @ ( select @ SV3 @ SY20 ) ) @ SY20 @ ( select @ SV3 @ SV6 ) )
= ( store @ ( store @ SV3 @ SY20 @ ( select @ SV3 @ SV6 ) ) @ SV6 @ ( select @ SV3 @ SY20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ( select @ ( store @ SV1 @ SV4 @ SV7 ) @ SV4 )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV5: $i,SV2: $i] :
( ( ( SV2 = SV5 )
= $true )
| ( ( ! [SY18: $i,SY19: $i] :
( ( select @ ( store @ SY18 @ SV2 @ SY19 ) @ SV5 )
= ( select @ SY18 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( store @ ( store @ SV3 @ SV6 @ ( select @ SV3 @ SV8 ) ) @ SV8 @ ( select @ SV3 @ SV6 ) )
= ( store @ ( store @ SV3 @ SV8 @ ( select @ SV3 @ SV6 ) ) @ SV6 @ ( select @ SV3 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV5: $i,SV2: $i,SV9: $i] :
( ( ( ! [SY21: $i] :
( ( select @ ( store @ SV9 @ SV2 @ SY21 ) @ SV5 )
= ( select @ SV9 @ SV5 ) ) )
= $true )
| ( ( SV2 = SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV5: $i,SV10: $i,SV2: $i,SV9: $i] :
( ( ( ( select @ ( store @ SV9 @ SV2 @ SV10 ) @ SV5 )
= ( select @ SV9 @ SV5 ) )
= $true )
| ( ( SV2 = SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(33,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,32,30,28,24]) ).
thf(34,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV541-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n012.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 : Wed Jun 15 21:18:39 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.41
% 0.20/0.41 No.of.Axioms: 4
% 0.20/0.41
% 0.20/0.41 Length.of.Defs: 0
% 0.20/0.41
% 0.20/0.41 Contains.Choice.Funs: false
% 0.20/0.46 (rf:0,axioms:4,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:6,loop_count:0,foatp_calls:0,translation:fof_full).....
% 0.51/0.88
% 0.51/0.88 ********************************
% 0.51/0.88 * All subproblems solved! *
% 0.51/0.88 ********************************
% 0.51/0.88 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:33,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.51/0.88
% 0.51/0.88 %**** Beginning of derivation protocol ****
% 0.51/0.88 % SZS output start CNFRefutation
% See solution above
% 0.51/0.88
% 0.51/0.88 %**** End of derivation protocol ****
% 0.51/0.88 %**** no. of clauses in derivation: 34 ****
% 0.51/0.88 %**** clause counter: 33 ****
% 0.51/0.88
% 0.51/0.88 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:33,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------