TSTP Solution File: ANA101^1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : ANA101^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 : Mon May 20 18:39:45 EDT 2024
% Result : Theorem 13.01s 3.27s
% Output : Refutation 13.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 13 unt; 10 typ; 0 def)
% Number of atoms : 110 ( 52 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 577 ( 45 ~; 28 |; 0 &; 499 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 67 ( 67 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 131 ( 46 ^ 83 !; 0 ?; 131 :)
% ( 2 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf('\'type/realax/real\'_type',type,
'\'type/realax/real\'': $tType ).
thf('\'const/sets/FINITE\'_type',type,
'\'const/sets/FINITE\'':
!>[TA: $tType] : ( ( TA > $o ) > $o ) ).
thf('\'const/realax/real_sub\'_type',type,
'\'const/realax/real_sub\'': '\'type/realax/real\'' > '\'type/realax/real\'' > '\'type/realax/real\'' ).
thf('\'const/realax/real_neg\'_type',type,
'\'const/realax/real_neg\'': '\'type/realax/real\'' > '\'type/realax/real\'' ).
thf('\'const/realax/real_add\'_type',type,
'\'const/realax/real_add\'': '\'type/realax/real\'' > '\'type/realax/real\'' > '\'type/realax/real\'' ).
thf('\'const/iterate/sum\'_type',type,
'\'const/iterate/sum\'':
!>[TA: $tType] : ( ( TA > $o ) > ( TA > '\'type/realax/real\'' ) > '\'type/realax/real\'' ) ).
thf(skt1_type,type,
skt1: $tType ).
thf(sk1_type,type,
sk1: skt1 > '\'type/realax/real\'' ).
thf(sk2_type,type,
sk2: skt1 > '\'type/realax/real\'' ).
thf(sk3_type,type,
sk3: skt1 > $o ).
thf(3,axiom,
! [TA: $tType,A: TA > '\'type/realax/real\'',B: TA > $o] :
( ( '\'const/iterate/sum\'' @ TA @ B
@ ^ [C: TA] : ( '\'const/realax/real_neg\'' @ ( A @ C ) ) )
= ( '\'const/realax/real_neg\'' @ ( '\'const/iterate/sum\'' @ TA @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/SUM_NEG_') ).
thf(10,plain,
! [TA: $tType,A: TA > '\'type/realax/real\'',B: TA > $o] :
( ( '\'const/iterate/sum\'' @ TA @ B
@ ^ [C: TA] : ( '\'const/realax/real_neg\'' @ ( A @ C ) ) )
= ( '\'const/realax/real_neg\'' @ ( '\'const/iterate/sum\'' @ TA @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(11,plain,
! [TA: $tType,B: TA > $o,A: TA > '\'type/realax/real\''] :
( ( '\'const/iterate/sum\'' @ TA @ B
@ ^ [C: TA] : ( '\'const/realax/real_neg\'' @ ( A @ C ) ) )
= ( '\'const/realax/real_neg\'' @ ( '\'const/iterate/sum\'' @ TA @ B @ A ) ) ),
inference(cnf,[status(esa)],[10]) ).
thf(12,plain,
! [TA: $tType,B: TA > $o,A: TA > '\'type/realax/real\''] :
( ( '\'const/iterate/sum\'' @ TA @ B
@ ^ [C: TA] : ( '\'const/realax/real_neg\'' @ ( A @ C ) ) )
= ( '\'const/realax/real_neg\'' @ ( '\'const/iterate/sum\'' @ TA @ B @ A ) ) ),
inference(lifteq,[status(thm)],[11]) ).
thf(5,axiom,
! [A: '\'type/realax/real\'',B: '\'type/realax/real\''] :
( ( '\'const/realax/real_sub\'' @ A @ B )
= ( '\'const/realax/real_add\'' @ A @ ( '\'const/realax/real_neg\'' @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/realax/real_sub_') ).
thf(16,plain,
! [A: '\'type/realax/real\'',B: '\'type/realax/real\''] :
( ( '\'const/realax/real_sub\'' @ A @ B )
= ( '\'const/realax/real_add\'' @ A @ ( '\'const/realax/real_neg\'' @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(17,plain,
! [B: '\'type/realax/real\'',A: '\'type/realax/real\''] :
( ( '\'const/realax/real_sub\'' @ A @ B )
= ( '\'const/realax/real_add\'' @ A @ ( '\'const/realax/real_neg\'' @ B ) ) ),
inference(cnf,[status(esa)],[16]) ).
thf(18,plain,
! [B: '\'type/realax/real\'',A: '\'type/realax/real\''] :
( ( '\'const/realax/real_add\'' @ A @ ( '\'const/realax/real_neg\'' @ B ) )
= ( '\'const/realax/real_sub\'' @ A @ B ) ),
inference(lifteq,[status(thm)],[17]) ).
thf(4,axiom,
! [TA: $tType,A: TA > '\'type/realax/real\'',B: TA > '\'type/realax/real\'',C: TA > $o] :
( ( '\'const/sets/FINITE\'' @ TA @ C )
=> ( ( '\'const/iterate/sum\'' @ TA @ C
@ ^ [D: TA] : ( '\'const/realax/real_add\'' @ ( A @ D ) @ ( B @ D ) ) )
= ( '\'const/realax/real_add\'' @ ( '\'const/iterate/sum\'' @ TA @ C @ A ) @ ( '\'const/iterate/sum\'' @ TA @ C @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/SUM_ADD_') ).
thf(13,plain,
! [TA: $tType,A: TA > '\'type/realax/real\'',B: TA > '\'type/realax/real\'',C: TA > $o] :
( ( '\'const/sets/FINITE\'' @ TA @ C )
=> ( ( '\'const/iterate/sum\'' @ TA @ C
@ ^ [D: TA] : ( '\'const/realax/real_add\'' @ ( A @ D ) @ ( B @ D ) ) )
= ( '\'const/realax/real_add\'' @ ( '\'const/iterate/sum\'' @ TA @ C @ A ) @ ( '\'const/iterate/sum\'' @ TA @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,plain,
! [TA: $tType,C: TA > $o,B: TA > '\'type/realax/real\'',A: TA > '\'type/realax/real\''] :
( ~ ( '\'const/sets/FINITE\'' @ TA @ C )
| ( ( '\'const/iterate/sum\'' @ TA @ C
@ ^ [D: TA] : ( '\'const/realax/real_add\'' @ ( A @ D ) @ ( B @ D ) ) )
= ( '\'const/realax/real_add\'' @ ( '\'const/iterate/sum\'' @ TA @ C @ A ) @ ( '\'const/iterate/sum\'' @ TA @ C @ B ) ) ) ),
inference(cnf,[status(esa)],[13]) ).
thf(15,plain,
! [TA: $tType,C: TA > $o,B: TA > '\'type/realax/real\'',A: TA > '\'type/realax/real\''] :
( ( ( '\'const/iterate/sum\'' @ TA @ C
@ ^ [D: TA] : ( '\'const/realax/real_add\'' @ ( A @ D ) @ ( B @ D ) ) )
= ( '\'const/realax/real_add\'' @ ( '\'const/iterate/sum\'' @ TA @ C @ A ) @ ( '\'const/iterate/sum\'' @ TA @ C @ B ) ) )
| ~ ( '\'const/sets/FINITE\'' @ TA @ C ) ),
inference(lifteq,[status(thm)],[14]) ).
thf(40,plain,
! [TA: $tType,E: TA > $o,D: TA > '\'type/realax/real\'',C: TA > '\'type/realax/real\'',B: '\'type/realax/real\'',A: '\'type/realax/real\''] :
( ( ( '\'const/realax/real_sub\'' @ A @ B )
= ( '\'const/iterate/sum\'' @ TA @ E
@ ^ [F: TA] : ( '\'const/realax/real_add\'' @ ( C @ F ) @ ( D @ F ) ) ) )
| ~ ( '\'const/sets/FINITE\'' @ TA @ E )
| ( ( '\'const/realax/real_add\'' @ A @ ( '\'const/realax/real_neg\'' @ B ) )
!= ( '\'const/realax/real_add\'' @ ( '\'const/iterate/sum\'' @ TA @ E @ C ) @ ( '\'const/iterate/sum\'' @ TA @ E @ D ) ) ) ),
inference(paramod_ordered,[status(thm)],[18,15]) ).
thf(48,plain,
! [TA: $tType,E: TA > $o,D: TA > '\'type/realax/real\'',C: TA > '\'type/realax/real\'',B: '\'type/realax/real\'',A: '\'type/realax/real\''] :
( ( ( '\'const/realax/real_sub\'' @ A @ B )
= ( '\'const/iterate/sum\'' @ TA @ E
@ ^ [F: TA] : ( '\'const/realax/real_add\'' @ ( C @ F ) @ ( D @ F ) ) ) )
| ~ ( '\'const/sets/FINITE\'' @ TA @ E )
| ( A
!= ( '\'const/iterate/sum\'' @ TA @ E @ C ) )
| ( ( '\'const/realax/real_neg\'' @ B )
!= ( '\'const/iterate/sum\'' @ TA @ E @ D ) ) ),
inference(simp,[status(thm)],[40]) ).
thf(49,plain,
! [TA: $tType,D: TA > $o,C: TA > '\'type/realax/real\'',B: TA > '\'type/realax/real\'',A: '\'type/realax/real\''] :
( ( ( '\'const/realax/real_sub\'' @ ( '\'const/iterate/sum\'' @ TA @ D @ B ) @ A )
= ( '\'const/iterate/sum\'' @ TA @ D
@ ^ [E: TA] : ( '\'const/realax/real_add\'' @ ( B @ E ) @ ( C @ E ) ) ) )
| ~ ( '\'const/sets/FINITE\'' @ TA @ D )
| ( ( '\'const/realax/real_neg\'' @ A )
!= ( '\'const/iterate/sum\'' @ TA @ D @ C ) ) ),
inference(simp,[status(thm)],[48]) ).
thf(1,conjecture,
! [TA: $tType,A: TA > '\'type/realax/real\'',B: TA > '\'type/realax/real\'',C: TA > $o] :
( ( '\'const/sets/FINITE\'' @ TA @ C )
=> ( ( '\'const/iterate/sum\'' @ TA @ C
@ ^ [D: TA] : ( '\'const/realax/real_sub\'' @ ( A @ D ) @ ( B @ D ) ) )
= ( '\'const/realax/real_sub\'' @ ( '\'const/iterate/sum\'' @ TA @ C @ A ) @ ( '\'const/iterate/sum\'' @ TA @ C @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/SUM_SUB_') ).
thf(2,negated_conjecture,
~ ! [TA: $tType,A: TA > '\'type/realax/real\'',B: TA > '\'type/realax/real\'',C: TA > $o] :
( ( '\'const/sets/FINITE\'' @ TA @ C )
=> ( ( '\'const/iterate/sum\'' @ TA @ C
@ ^ [D: TA] : ( '\'const/realax/real_sub\'' @ ( A @ D ) @ ( B @ D ) ) )
= ( '\'const/realax/real_sub\'' @ ( '\'const/iterate/sum\'' @ TA @ C @ A ) @ ( '\'const/iterate/sum\'' @ TA @ C @ B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ! [TA: $tType,A: TA > '\'type/realax/real\'',B: TA > '\'type/realax/real\'',C: TA > $o] :
( ( '\'const/sets/FINITE\'' @ TA @ C )
=> ( ( '\'const/iterate/sum\'' @ TA @ C
@ ^ [D: TA] : ( '\'const/realax/real_sub\'' @ ( A @ D ) @ ( B @ D ) ) )
= ( '\'const/realax/real_sub\'' @ ( '\'const/iterate/sum\'' @ TA @ C @ A ) @ ( '\'const/iterate/sum\'' @ TA @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
( ( '\'const/iterate/sum\'' @ skt1 @ sk3
@ ^ [A: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ A ) @ ( sk2 @ A ) ) )
!= ( '\'const/realax/real_sub\'' @ ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk1 ) @ ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk2 ) ) ),
inference(cnf,[status(esa)],[6]) ).
thf(9,plain,
( ( '\'const/iterate/sum\'' @ skt1 @ sk3
@ ^ [A: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ A ) @ ( sk2 @ A ) ) )
!= ( '\'const/realax/real_sub\'' @ ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk1 ) @ ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk2 ) ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(56,plain,
! [TA: $tType,D: TA > $o,C: TA > '\'type/realax/real\'',B: TA > '\'type/realax/real\'',A: '\'type/realax/real\''] :
( ~ ( '\'const/sets/FINITE\'' @ TA @ D )
| ( ( '\'const/realax/real_neg\'' @ A )
!= ( '\'const/iterate/sum\'' @ TA @ D @ C ) )
| ( ( '\'const/iterate/sum\'' @ TA @ D
@ ^ [E: TA] : ( '\'const/realax/real_add\'' @ ( B @ E ) @ ( C @ E ) ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3
@ ^ [E: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ E ) @ ( sk2 @ E ) ) ) )
| ( ( '\'const/realax/real_sub\'' @ ( '\'const/iterate/sum\'' @ TA @ D @ B ) @ A )
!= ( '\'const/realax/real_sub\'' @ ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk1 ) @ ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[49,9]) ).
thf(57,plain,
! [A: skt1 > '\'type/realax/real\''] :
( ~ ( '\'const/sets/FINITE\'' @ skt1 @ sk3 )
| ( ( '\'const/realax/real_neg\'' @ ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk2 ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ A ) )
| ( ( '\'const/iterate/sum\'' @ skt1 @ sk3
@ ^ [B: skt1] : ( '\'const/realax/real_add\'' @ ( sk1 @ B ) @ ( A @ B ) ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3
@ ^ [B: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ B ) @ ( sk2 @ B ) ) ) ) ),
inference(pattern_uni,[status(thm)],[56:[bind(A,$thf( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk2 )),bind(B,$thf( sk1 )),bind(C,$thf( C )),bind(D,$thf( sk3 )),bind_type(TA,$thf( skt1 ))]]) ).
thf(102,plain,
! [A: skt1 > '\'type/realax/real\''] :
( ~ ( '\'const/sets/FINITE\'' @ skt1 @ sk3 )
| ( ( '\'const/realax/real_neg\'' @ ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk2 ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ A ) )
| ( ( '\'const/iterate/sum\'' @ skt1 @ sk3
@ ^ [B: skt1] : ( '\'const/realax/real_add\'' @ ( sk1 @ B ) @ ( A @ B ) ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3
@ ^ [B: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ B ) @ ( sk2 @ B ) ) ) ) ),
inference(simp,[status(thm)],[57]) ).
thf(8,plain,
'\'const/sets/FINITE\'' @ skt1 @ sk3,
inference(cnf,[status(esa)],[6]) ).
thf(694,plain,
! [A: skt1 > '\'type/realax/real\''] :
( ~ $true
| ( ( '\'const/realax/real_neg\'' @ ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk2 ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ A ) )
| ( ( '\'const/iterate/sum\'' @ skt1 @ sk3
@ ^ [B: skt1] : ( '\'const/realax/real_add\'' @ ( sk1 @ B ) @ ( A @ B ) ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3
@ ^ [B: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ B ) @ ( sk2 @ B ) ) ) ) ),
inference(rewrite,[status(thm)],[102,8]) ).
thf(695,plain,
! [A: skt1 > '\'type/realax/real\''] :
( ( ( '\'const/realax/real_neg\'' @ ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk2 ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ A ) )
| ( ( '\'const/iterate/sum\'' @ skt1 @ sk3
@ ^ [B: skt1] : ( '\'const/realax/real_add\'' @ ( sk1 @ B ) @ ( A @ B ) ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3
@ ^ [B: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ B ) @ ( sk2 @ B ) ) ) ) ),
inference(simp,[status(thm)],[694]) ).
thf(696,plain,
! [A: skt1 > '\'type/realax/real\''] :
( ( ( '\'const/realax/real_neg\'' @ ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk2 ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ A ) )
| ( sk3 != sk3 )
| ( ( ^ [B: skt1] : ( '\'const/realax/real_add\'' @ ( sk1 @ B ) @ ( A @ B ) ) )
!= ( ^ [B: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ B ) @ ( sk2 @ B ) ) ) ) ),
inference(simp,[status(thm)],[695]) ).
thf(781,plain,
! [A: skt1 > '\'type/realax/real\''] :
( ( ( '\'const/realax/real_neg\'' @ ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk2 ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ A ) )
| ( ( ^ [B: skt1] : ( '\'const/realax/real_add\'' @ ( sk1 @ B ) @ ( A @ B ) ) )
!= ( ^ [B: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ B ) @ ( sk2 @ B ) ) ) ) ),
inference(simp,[status(thm)],[696]) ).
thf(845,plain,
! [TA: $tType,C: skt1 > '\'type/realax/real\'',B: TA > $o,A: TA > '\'type/realax/real\''] :
( ( ( '\'const/iterate/sum\'' @ TA @ B
@ ^ [D: TA] : ( '\'const/realax/real_neg\'' @ ( A @ D ) ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ C ) )
| ( ( ^ [D: skt1] : ( '\'const/realax/real_add\'' @ ( sk1 @ D ) @ ( C @ D ) ) )
!= ( ^ [D: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ D ) @ ( sk2 @ D ) ) ) )
| ( ( '\'const/realax/real_neg\'' @ ( '\'const/iterate/sum\'' @ TA @ B @ A ) )
!= ( '\'const/realax/real_neg\'' @ ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[12,781]) ).
thf(846,plain,
! [A: skt1 > '\'type/realax/real\''] :
( ( ( '\'const/iterate/sum\'' @ skt1 @ sk3
@ ^ [B: skt1] : ( '\'const/realax/real_neg\'' @ ( sk2 @ B ) ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ A ) )
| ( ( ^ [B: skt1] : ( '\'const/realax/real_add\'' @ ( sk1 @ B ) @ ( A @ B ) ) )
!= ( ^ [B: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ B ) @ ( sk2 @ B ) ) ) ) ),
inference(pattern_uni,[status(thm)],[845:[bind(A,$thf( sk2 )),bind(B,$thf( sk3 )),bind(C,$thf( C )),bind_type(TA,$thf( skt1 ))]]) ).
thf(864,plain,
! [A: skt1 > '\'type/realax/real\''] :
( ( ( '\'const/iterate/sum\'' @ skt1 @ sk3
@ ^ [B: skt1] : ( '\'const/realax/real_neg\'' @ ( sk2 @ B ) ) )
!= ( '\'const/iterate/sum\'' @ skt1 @ sk3 @ A ) )
| ( ( ^ [B: skt1] : ( '\'const/realax/real_add\'' @ ( sk1 @ B ) @ ( A @ B ) ) )
!= ( ^ [B: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ B ) @ ( sk2 @ B ) ) ) ) ),
inference(simp,[status(thm)],[846]) ).
thf(873,plain,
! [A: skt1 > '\'type/realax/real\''] :
( ( sk3 != sk3 )
| ( ( ^ [B: skt1] : ( '\'const/realax/real_neg\'' @ ( sk2 @ B ) ) )
!= A )
| ( ( ^ [B: skt1] : ( '\'const/realax/real_add\'' @ ( sk1 @ B ) @ ( A @ B ) ) )
!= ( ^ [B: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ B ) @ ( sk2 @ B ) ) ) ) ),
inference(simp,[status(thm)],[864]) ).
thf(906,plain,
( ( ^ [A: skt1] : ( '\'const/realax/real_add\'' @ ( sk1 @ A ) @ ( '\'const/realax/real_neg\'' @ ( sk2 @ A ) ) ) )
!= ( ^ [A: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ A ) @ ( sk2 @ A ) ) ) ),
inference(simp,[status(thm)],[873]) ).
thf(914,plain,
( ( ^ [A: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ A ) @ ( sk2 @ A ) ) )
!= ( ^ [A: skt1] : ( '\'const/realax/real_sub\'' @ ( sk1 @ A ) @ ( sk2 @ A ) ) ) ),
inference(rewrite,[status(thm)],[906,18]) ).
thf(915,plain,
$false,
inference(simp,[status(thm)],[914]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ANA101^1 : TPTP v8.2.0. Released v7.0.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 20 07:42:24 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.89/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/0.95 % [INFO] Parsing done (109ms).
% 1.20/0.95 % [INFO] Running in sequential loop mode.
% 1.55/1.15 % [INFO] nitpick registered as external prover.
% 1.64/1.16 % [INFO] Scanning for conjecture ...
% 1.64/1.21 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 1.64/1.23 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.87/1.24 % [INFO] Problem is higher-order (TPTP THF).
% 1.87/1.25 % [INFO] Type checking passed.
% 1.87/1.25 % [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 ...
% 13.01/3.26 % [INFO] Killing All external provers ...
% 13.01/3.26 % Time passed: 2746ms (effective reasoning time: 2304ms)
% 13.01/3.26 % Solved by 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)>
% 13.01/3.26 % Axioms used in derivation (3): thm/iterate/SUM_NEG_, thm/realax/real_sub_, thm/iterate/SUM_ADD_
% 13.01/3.26 % No. of inferences in proof: 35
% 13.01/3.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2746 ms resp. 2304 ms w/o parsing
% 13.23/3.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.23/3.38 % [INFO] Killing All external provers ...
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