TSTP Solution File: SWV557-1.007 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SWV557-1.007 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 : Tue May 21 05:47:08 EDT 2024
% Result : Unsatisfiable 5.62s 2.73s
% Output : Refutation 5.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 18
% Syntax : Number of formulae : 26 ( 11 unt; 11 typ; 0 def)
% Number of atoms : 19 ( 18 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 2622 ( 2 ~; 4 |; 0 &;2616 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 10 con; 0-3 aty)
% Number of variables : 36 ( 0 ^ 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(a1_type,type,
a1: $i ).
thf(a2_type,type,
a2: $i ).
thf(select_type,type,
select: $i > $i > $i ).
thf(store_type,type,
store: $i > $i > $i > $i ).
thf(i1_type,type,
i1: $i ).
thf(i2_type,type,
i2: $i ).
thf(i3_type,type,
i3: $i ).
thf(i4_type,type,
i4: $i ).
thf(i5_type,type,
i5: $i ).
thf(i6_type,type,
i6: $i ).
thf(i7_type,type,
i7: $i ).
thf(6,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( ( store @ ( store @ C @ A @ D ) @ B @ E )
= ( store @ ( store @ C @ B @ E ) @ A @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5) ).
thf(20,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( ( store @ ( store @ C @ A @ D ) @ B @ E )
= ( store @ ( store @ C @ B @ E ) @ A @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( ( select @ ( store @ C @ A @ D ) @ B )
= ( select @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
thf(13,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( ( select @ ( store @ C @ A @ D ) @ B )
= ( select @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( store @ ( store @ A @ B @ C ) @ B @ D )
= ( store @ A @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
thf(18,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( store @ ( store @ A @ B @ C ) @ B @ D )
= ( store @ A @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( store @ A @ B @ ( select @ A @ B ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
thf(16,plain,
! [B: $i,A: $i] :
( ( store @ A @ B @ ( select @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( select @ ( store @ A @ B @ C ) @ B )
= C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] :
( ( select @ ( store @ A @ B @ C ) @ B )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
( ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 ) )
= ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
thf(23,plain,
( ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 ) )
= ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(8,plain,
a1 != a2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(25,plain,
$false,
inference(cvc4,[status(thm)],[20,13,18,16,11,23,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV557-1.007 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.12 % Command : run_Leo-III %s %d
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun May 19 09:06:24 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.98/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.50/1.17 % [INFO] Parsing done (195ms).
% 1.50/1.18 % [INFO] Running in sequential loop mode.
% 2.11/1.54 % [INFO] eprover registered as external prover.
% 2.11/1.55 % [INFO] cvc4 registered as external prover.
% 2.11/1.55 % [INFO] Scanning for conjecture ...
% 2.37/1.67 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.47/1.70 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.75/1.79 % [INFO] Problem is propositional (TPTP CNF).
% 2.75/1.81 % [INFO] Type checking passed.
% 2.75/1.81 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 5.62/2.73 % External prover 'cvc4' found a proof!
% 5.62/2.73 % [INFO] Killing All external provers ...
% 5.62/2.73 % Time passed: 2246ms (effective reasoning time: 1543ms)
% 5.62/2.73 % Axioms used in derivation (6): a5, a4, hyp0, a3, a1, a2
% 5.62/2.73 % No. of inferences in proof: 15
% 5.62/2.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2246 ms resp. 1543 ms w/o parsing
% 5.62/2.82 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.62/2.82 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------