TSTP Solution File: SWV543-1.004 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV543-1.004 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.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 : 300s
% DateTime : Thu Sep 29 15:19:18 EDT 2022
% Result : Unsatisfiable 0.20s 0.39s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 48 ( 29 unt; 9 typ; 0 def)
% Number of atoms : 51 ( 49 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 4 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 63 ( 60 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
tff(store_type,type,
store: ( $i * $i * $i ) > $i ).
tff(select_type,type,
select: ( $i * $i ) > $i ).
tff(i0_type,type,
i0: $i ).
tff(i3_type,type,
i3: $i ).
tff(i1_type,type,
i1: $i ).
tff(a1_type,type,
a1: $i ).
tff(i2_type,type,
i2: $i ).
tff(a_440_type,type,
a_440: $i ).
tff(a_430_type,type,
a_430: $i ).
tff(1,plain,
^ [I: $i,A: $i,J: $i] :
refl(
( ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) )
<=> ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [I: $i,A: $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)) )
<=> ! [I: $i,A: $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)) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [I: $i,A: $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)) )
<=> ! [I: $i,A: $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)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,axiom,
! [I: $i,A: $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) ).
tff(5,plain,
! [I: $i,A: $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)) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [I: $i,A: $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)) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [I: $i,A: $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)) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [I: $i,A: $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)) )
| ( 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)) = 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)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(9,plain,
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)) = 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)),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
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)) = 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)),
inference(symmetry,[status(thm)],[9]) ).
tff(11,plain,
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) = 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),
inference(monotonicity,[status(thm)],[10]) ).
tff(12,plain,
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) = 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),
inference(symmetry,[status(thm)],[11]) ).
tff(13,plain,
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) = 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),
inference(monotonicity,[status(thm)],[9]) ).
tff(14,plain,
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)) = 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)),
inference(monotonicity,[status(thm)],[9,13]) ).
tff(15,plain,
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)) = 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)),
inference(monotonicity,[status(thm)],[14,12]) ).
tff(16,plain,
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) = 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),
inference(monotonicity,[status(thm)],[15]) ).
tff(17,plain,
( ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
<=> ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,plain,
( ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
<=> ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ) ),
inference(rewrite,[status(thm)],]) ).
tff(19,axiom,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
tff(20,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(skolemize,[status(sab)],[20]) ).
tff(22,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(modus_ponens,[status(thm)],[21,17]) ).
tff(23,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( 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) = 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) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(24,plain,
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) = 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),
inference(unit_resolution,[status(thm)],[23,22]) ).
tff(25,plain,
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) = 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),
inference(symmetry,[status(thm)],[24]) ).
tff(26,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( 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) = 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) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(27,plain,
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) = 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),
inference(unit_resolution,[status(thm)],[26,22]) ).
tff(28,plain,
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) = 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),
inference(transitivity,[status(thm)],[27,12,25]) ).
tff(29,plain,
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)),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(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)),
inference(monotonicity,[status(thm)],[15,28]) ).
tff(30,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)),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)),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)) = 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)),
inference(monotonicity,[status(thm)],[29,16]) ).
tff(31,plain,
( ~ ! [I: $i,A: $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)) )
| ( 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)),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,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)),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)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(32,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)),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,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)),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)),
inference(unit_resolution,[status(thm)],[31,7]) ).
tff(33,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)),
inference(transitivity,[status(thm)],[32,30]) ).
tff(34,plain,
( ( a_430 != a_440 )
<=> ( 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)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
( ( a_430 != a_440 )
<=> ( a_430 != a_440 ) ),
inference(rewrite,[status(thm)],]) ).
tff(36,axiom,
a_430 != a_440,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tff(37,plain,
a_430 != a_440,
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,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)),
inference(modus_ponens,[status(thm)],[37,34]) ).
tff(39,plain,
$false,
inference(unit_resolution,[status(thm)],[38,33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV543-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n021.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 : 300
% 0.13/0.34 % DateTime : Sun Sep 4 05:16:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.20/0.35 Usage: tptp [options] [-file:]file
% 0.20/0.35 -h, -? prints this message.
% 0.20/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.20/0.35 -m, -model generate model.
% 0.20/0.35 -p, -proof generate proof.
% 0.20/0.35 -c, -core generate unsat core of named formulas.
% 0.20/0.35 -st, -statistics display statistics.
% 0.20/0.35 -t:timeout set timeout (in second).
% 0.20/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.20/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.20/0.35 -<param>:<value> configuration parameter and value.
% 0.20/0.35 -o:<output-file> file to place output in.
% 0.20/0.39 % SZS status Unsatisfiable
% 0.20/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------