%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV260^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:37:05 AM UTC 2026
% Result : Theorem 8.55s 2.63s
% Output : Refutation 8.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 16 unt; 0 typ; 8 def)
% Number of atoms : 269 ( 118 equ; 0 cnn)
% Maximal formula atoms : 39 ( 8 avg)
% Number of connectives : 697 ( 91 ~; 35 |; 128 &; 332 @)
% ( 0 <=>; 111 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 230 ( 230 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 325 ( 124 ^; 177 !; 16 ?; 325 :)
% ( 0 !>; 0 ?*; 0 @-; 8 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(sk1_decl,type,
sk1: ( a > $o ) > $o ).
thf(sk2_decl,type,
sk2: ( b > $o ) > $o ).
thf(sk3_decl,type,
sk3: a > b ).
thf(sk4_decl,type,
sk4: ( a > $o ) > ( ( a > $o ) > $o ) > a > $o ).
thf(sk5_decl,type,
sk5: ( b > $o ) > ( ( b > $o ) > $o ) > b > $o ).
thf(sk6_decl,type,
sk6: b > $o ).
thf(sk7_decl,type,
sk7: a > $o ).
thf(sk8_decl,type,
sk8: a > $o ).
thf(sk1_def,definition,
( sk1
= ( @+[A: ( a > $o ) > $o] :
~ ! [B: ( b > $o ) > $o,C: a > b] :
( ( ! [D: a > $o] :
( ( D
= ( ^ [E: a] : $false ) )
=> ( A @ D ) )
& ! [D: a > $o] :
( ( D
= ( ^ [E: a] : $true ) )
=> ( A @ D ) )
& ! [D: ( a > $o ) > $o,E: a > $o] :
( ( ! [F: a > $o] :
( ( D @ F )
=> ( A @ F ) )
& ( E
= ( ^ [F: a] :
? [G: a > $o] :
( ( D @ G )
& ( G @ F ) ) ) ) )
=> ( A @ E ) )
& ! [D: a > $o,E: a > $o,F: a > $o] :
( ( ( A @ D )
& ( A @ E )
& ( F
= ( ^ [G: a] :
( ( D @ G )
& ( E @ G ) ) ) ) )
=> ( A @ F ) )
& ! [D: b > $o] :
( ( D
= ( ^ [E: b] : $false ) )
=> ( B @ D ) )
& ! [D: b > $o] :
( ( D
= ( ^ [E: b] : $true ) )
=> ( B @ D ) )
& ! [D: ( b > $o ) > $o,E: b > $o] :
( ( ! [F: b > $o] :
( ( D @ F )
=> ( B @ F ) )
& ( E
= ( ^ [F: b] :
? [G: b > $o] :
( ( D @ G )
& ( G @ F ) ) ) ) )
=> ( B @ E ) )
& ! [D: b > $o,E: b > $o,F: b > $o] :
( ( ( B @ D )
& ( B @ E )
& ( F
= ( ^ [G: b] :
( ( D @ G )
& ( E @ G ) ) ) ) )
=> ( B @ F ) )
& ! [D: b > $o] :
( ( B @ D )
=> ! [E: a > $o] :
( ( E
= ( ^ [F: a] : ( D @ ( C @ F ) ) ) )
=> ( A @ E ) ) ) )
=> ! [D: b > $o] :
( ! [E: b > $o] :
( ( E
= ( ^ [F: b] :
~ ( D @ F ) ) )
=> ( B @ E ) )
=> ! [E: a > $o] :
( ( E
= ( ^ [F: a] : ( D @ ( C @ F ) ) ) )
=> ! [F: a > $o] :
( ( F
= ( ^ [G: a] :
~ ( E @ G ) ) )
=> ( A @ F ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: ( b > $o ) > $o] :
~ ! [B: a > b] :
( ( ! [C: a > $o] :
( ( C
= ( ^ [D: a] : $false ) )
=> ( sk1 @ C ) )
& ! [C: a > $o] :
( ( C
= ( ^ [D: a] : $true ) )
=> ( sk1 @ C ) )
& ! [C: ( a > $o ) > $o,D: a > $o] :
( ( ! [E: a > $o] :
( ( C @ E )
=> ( sk1 @ E ) )
& ( D
= ( ^ [E: a] :
? [F: a > $o] :
( ( C @ F )
& ( F @ E ) ) ) ) )
=> ( sk1 @ D ) )
& ! [C: a > $o,D: a > $o,E: a > $o] :
( ( ( sk1 @ C )
& ( sk1 @ D )
& ( E
= ( ^ [F: a] :
( ( C @ F )
& ( D @ F ) ) ) ) )
=> ( sk1 @ E ) )
& ! [C: b > $o] :
( ( C
= ( ^ [D: b] : $false ) )
=> ( A @ C ) )
& ! [C: b > $o] :
( ( C
= ( ^ [D: b] : $true ) )
=> ( A @ C ) )
& ! [C: ( b > $o ) > $o,D: b > $o] :
( ( ! [E: b > $o] :
( ( C @ E )
=> ( A @ E ) )
& ( D
= ( ^ [E: b] :
? [F: b > $o] :
( ( C @ F )
& ( F @ E ) ) ) ) )
=> ( A @ D ) )
& ! [C: b > $o,D: b > $o,E: b > $o] :
( ( ( A @ C )
& ( A @ D )
& ( E
= ( ^ [F: b] :
( ( C @ F )
& ( D @ F ) ) ) ) )
=> ( A @ E ) )
& ! [C: b > $o] :
( ( A @ C )
=> ! [D: a > $o] :
( ( D
= ( ^ [E: a] : ( C @ ( B @ E ) ) ) )
=> ( sk1 @ D ) ) ) )
=> ! [C: b > $o] :
( ! [D: b > $o] :
( ( D
= ( ^ [E: b] :
~ ( C @ E ) ) )
=> ( A @ D ) )
=> ! [D: a > $o] :
( ( D
= ( ^ [E: a] : ( C @ ( B @ E ) ) ) )
=> ! [E: a > $o] :
( ( E
= ( ^ [F: a] :
~ ( D @ F ) ) )
=> ( sk1 @ E ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: a > b] :
~ ( ( ! [B: a > $o] :
( ( B
= ( ^ [C: a] : $false ) )
=> ( sk1 @ B ) )
& ! [B: a > $o] :
( ( B
= ( ^ [C: a] : $true ) )
=> ( sk1 @ B ) )
& ! [B: ( a > $o ) > $o,C: a > $o] :
( ( ! [D: a > $o] :
( ( B @ D )
=> ( sk1 @ D ) )
& ( C
= ( ^ [D: a] :
? [E: a > $o] :
( ( B @ E )
& ( E @ D ) ) ) ) )
=> ( sk1 @ C ) )
& ! [B: a > $o,C: a > $o,D: a > $o] :
( ( ( sk1 @ B )
& ( sk1 @ C )
& ( D
= ( ^ [E: a] :
( ( B @ E )
& ( C @ E ) ) ) ) )
=> ( sk1 @ D ) )
& ! [B: b > $o] :
( ( B
= ( ^ [C: b] : $false ) )
=> ( sk2 @ B ) )
& ! [B: b > $o] :
( ( B
= ( ^ [C: b] : $true ) )
=> ( sk2 @ B ) )
& ! [B: ( b > $o ) > $o,C: b > $o] :
( ( ! [D: b > $o] :
( ( B @ D )
=> ( sk2 @ D ) )
& ( C
= ( ^ [D: b] :
? [E: b > $o] :
( ( B @ E )
& ( E @ D ) ) ) ) )
=> ( sk2 @ C ) )
& ! [B: b > $o,C: b > $o,D: b > $o] :
( ( ( sk2 @ B )
& ( sk2 @ C )
& ( D
= ( ^ [E: b] :
( ( B @ E )
& ( C @ E ) ) ) ) )
=> ( sk2 @ D ) )
& ! [B: b > $o] :
( ( sk2 @ B )
=> ! [C: a > $o] :
( ( C
= ( ^ [D: a] : ( B @ ( A @ D ) ) ) )
=> ( sk1 @ C ) ) ) )
=> ! [B: b > $o] :
( ! [C: b > $o] :
( ( C
= ( ^ [D: b] :
~ ( B @ D ) ) )
=> ( sk2 @ C ) )
=> ! [C: a > $o] :
( ( C
= ( ^ [D: a] : ( B @ ( A @ D ) ) ) )
=> ! [D: a > $o] :
( ( D
= ( ^ [E: a] :
~ ( C @ E ) ) )
=> ( sk1 @ D ) ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( ^ [A: a > $o,B: ( a > $o ) > $o] :
@+[C: a > $o] :
~ ( ( B @ C )
=> ( sk1 @ C ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( ^ [A: b > $o,B: ( b > $o ) > $o] :
@+[C: b > $o] :
~ ( ( B @ C )
=> ( sk2 @ C ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( @+[A: b > $o] :
~ ( ! [B: b > $o] :
( ( B
= ( ^ [C: b] :
~ ( A @ C ) ) )
=> ( sk2 @ B ) )
=> ! [B: a > $o] :
( ( B
= ( ^ [C: a] : ( A @ ( sk3 @ C ) ) ) )
=> ! [C: a > $o] :
( ( C
= ( ^ [D: a] :
~ ( B @ D ) ) )
=> ( sk1 @ C ) ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: a > $o] :
~ ( ( A
= ( ^ [B: a] : ( sk6 @ ( sk3 @ B ) ) ) )
=> ! [B: a > $o] :
( ( B
= ( ^ [C: a] :
~ ( A @ C ) ) )
=> ( sk1 @ B ) ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( @+[A: a > $o] :
~ ( ( A
= ( ^ [B: a] :
~ ( sk7 @ B ) ) )
=> ( sk1 @ A ) ) ) ) ).
thf(1,conjecture,
! [A: ( a > $o ) > $o,B: ( b > $o ) > $o,C: a > b] :
( ( ! [D: a > $o] :
( ( D
= ( ^ [E: a] : $false ) )
=> ( A @ D ) )
& ! [D: a > $o] :
( ( D
= ( ^ [E: a] : ~ $false ) )
=> ( A @ D ) )
& ! [D: ( a > $o ) > $o,E: a > $o] :
( ( ! [F: a > $o] :
( ( D @ F )
=> ( A @ F ) )
& ( E
= ( ^ [F: a] :
? [G: a > $o] :
( ( D @ G )
& ( G @ F ) ) ) ) )
=> ( A @ E ) )
& ! [D: a > $o,E: a > $o,F: a > $o] :
( ( ( A @ D )
& ( A @ E )
& ( F
= ( ^ [G: a] :
( ( D @ G )
& ( E @ G ) ) ) ) )
=> ( A @ F ) )
& ! [D: b > $o] :
( ( D
= ( ^ [E: b] : $false ) )
=> ( B @ D ) )
& ! [D: b > $o] :
( ( D
= ( ^ [E: b] : ~ $false ) )
=> ( B @ D ) )
& ! [D: ( b > $o ) > $o,E: b > $o] :
( ( ! [F: b > $o] :
( ( D @ F )
=> ( B @ F ) )
& ( E
= ( ^ [F: b] :
? [G: b > $o] :
( ( D @ G )
& ( G @ F ) ) ) ) )
=> ( B @ E ) )
& ! [D: b > $o,E: b > $o,F: b > $o] :
( ( ( B @ D )
& ( B @ E )
& ( F
= ( ^ [G: b] :
( ( D @ G )
& ( E @ G ) ) ) ) )
=> ( B @ F ) )
& ! [D: b > $o] :
( ( B @ D )
=> ! [E: a > $o] :
( ( E
= ( ^ [F: a] : ( D @ ( C @ F ) ) ) )
=> ( A @ E ) ) ) )
=> ! [D: b > $o] :
( ! [E: b > $o] :
( ( E
= ( ^ [F: b] :
~ ( D @ F ) ) )
=> ( B @ E ) )
=> ! [E: a > $o] :
( ( E
= ( ^ [F: a] : ( D @ ( C @ F ) ) ) )
=> ! [F: a > $o] :
( ( F
= ( ^ [G: a] :
~ ( E @ G ) ) )
=> ( A @ F ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCLOSED_THM1_pme) ).
thf(2,negated_conjecture,
~ ! [A: ( a > $o ) > $o,B: ( b > $o ) > $o,C: a > b] :
( ( ! [D: a > $o] :
( ( D
= ( ^ [E: a] : $false ) )
=> ( A @ D ) )
& ! [D: a > $o] :
( ( D
= ( ^ [E: a] : ~ $false ) )
=> ( A @ D ) )
& ! [D: ( a > $o ) > $o,E: a > $o] :
( ( ! [F: a > $o] :
( ( D @ F )
=> ( A @ F ) )
& ( E
= ( ^ [F: a] :
? [G: a > $o] :
( ( D @ G )
& ( G @ F ) ) ) ) )
=> ( A @ E ) )
& ! [D: a > $o,E: a > $o,F: a > $o] :
( ( ( A @ D )
& ( A @ E )
& ( F
= ( ^ [G: a] :
( ( D @ G )
& ( E @ G ) ) ) ) )
=> ( A @ F ) )
& ! [D: b > $o] :
( ( D
= ( ^ [E: b] : $false ) )
=> ( B @ D ) )
& ! [D: b > $o] :
( ( D
= ( ^ [E: b] : ~ $false ) )
=> ( B @ D ) )
& ! [D: ( b > $o ) > $o,E: b > $o] :
( ( ! [F: b > $o] :
( ( D @ F )
=> ( B @ F ) )
& ( E
= ( ^ [F: b] :
? [G: b > $o] :
( ( D @ G )
& ( G @ F ) ) ) ) )
=> ( B @ E ) )
& ! [D: b > $o,E: b > $o,F: b > $o] :
( ( ( B @ D )
& ( B @ E )
& ( F
= ( ^ [G: b] :
( ( D @ G )
& ( E @ G ) ) ) ) )
=> ( B @ F ) )
& ! [D: b > $o] :
( ( B @ D )
=> ! [E: a > $o] :
( ( E
= ( ^ [F: a] : ( D @ ( C @ F ) ) ) )
=> ( A @ E ) ) ) )
=> ! [D: b > $o] :
( ! [E: b > $o] :
( ( E
= ( ^ [F: b] :
~ ( D @ F ) ) )
=> ( B @ E ) )
=> ! [E: a > $o] :
( ( E
= ( ^ [F: a] : ( D @ ( C @ F ) ) ) )
=> ! [F: a > $o] :
( ( F
= ( ^ [G: a] :
~ ( E @ G ) ) )
=> ( A @ F ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( a > $o ) > $o,B: ( b > $o ) > $o,C: a > b] :
( ( ! [D: a > $o] :
( ( D
= ( ^ [E: a] : $false ) )
=> ( A @ D ) )
& ! [D: a > $o] :
( ( D
= ( ^ [E: a] : $true ) )
=> ( A @ D ) )
& ! [D: ( a > $o ) > $o,E: a > $o] :
( ( ! [F: a > $o] :
( ( D @ F )
=> ( A @ F ) )
& ( E
= ( ^ [F: a] :
? [G: a > $o] :
( ( D @ G )
& ( G @ F ) ) ) ) )
=> ( A @ E ) )
& ! [D: a > $o,E: a > $o,F: a > $o] :
( ( ( A @ D )
& ( A @ E )
& ( F
= ( ^ [G: a] :
( ( D @ G )
& ( E @ G ) ) ) ) )
=> ( A @ F ) )
& ! [D: b > $o] :
( ( D
= ( ^ [E: b] : $false ) )
=> ( B @ D ) )
& ! [D: b > $o] :
( ( D
= ( ^ [E: b] : $true ) )
=> ( B @ D ) )
& ! [D: ( b > $o ) > $o,E: b > $o] :
( ( ! [F: b > $o] :
( ( D @ F )
=> ( B @ F ) )
& ( E
= ( ^ [F: b] :
? [G: b > $o] :
( ( D @ G )
& ( G @ F ) ) ) ) )
=> ( B @ E ) )
& ! [D: b > $o,E: b > $o,F: b > $o] :
( ( ( B @ D )
& ( B @ E )
& ( F
= ( ^ [G: b] :
( ( D @ G )
& ( E @ G ) ) ) ) )
=> ( B @ F ) )
& ! [D: b > $o] :
( ( B @ D )
=> ! [E: a > $o] :
( ( E
= ( ^ [F: a] : ( D @ ( C @ F ) ) ) )
=> ( A @ E ) ) ) )
=> ! [D: b > $o] :
( ! [E: b > $o] :
( ( E
= ( ^ [F: b] :
~ ( D @ F ) ) )
=> ( B @ E ) )
=> ! [E: a > $o] :
( ( E
= ( ^ [F: a] : ( D @ ( C @ F ) ) ) )
=> ! [F: a > $o] :
( ( F
= ( ^ [G: a] :
~ ( E @ G ) ) )
=> ( A @ F ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [Q: b > $o,P: a > $o,O: b > $o,N: b > $o,M: b > $o,L: b > $o,K: b > $o,J: ( b > $o ) > $o,I: b > $o,H: b > $o,G: a > $o,F: a > $o,E: a > $o,D: a > $o,C: ( a > $o ) > $o,B: a > $o,A: a > $o] :
( ( ( A
!= ( ^ [R: a] : $false ) )
| ( sk1 @ A ) )
& ( ( B
!= ( ^ [R: a] : $true ) )
| ( sk1 @ B ) )
& ( ( C @ ( sk4 @ D @ C ) )
| ( D
!= ( ^ [R: a] :
? [S: a > $o] :
( ( C @ S )
& ( S @ R ) ) ) )
| ( sk1 @ D ) )
& ( ~ ( sk1 @ ( sk4 @ D @ C ) )
| ( D
!= ( ^ [R: a] :
? [S: a > $o] :
( ( C @ S )
& ( S @ R ) ) ) )
| ( sk1 @ D ) )
& ( ~ ( sk1 @ E )
| ~ ( sk1 @ F )
| ( G
!= ( ^ [R: a] :
( ( E @ R )
& ( F @ R ) ) ) )
| ( sk1 @ G ) )
& ( ( H
!= ( ^ [R: b] : $false ) )
| ( sk2 @ H ) )
& ( ( I
!= ( ^ [R: b] : $true ) )
| ( sk2 @ I ) )
& ( ( J @ ( sk5 @ K @ J ) )
| ( K
!= ( ^ [R: b] :
? [S: b > $o] :
( ( J @ S )
& ( S @ R ) ) ) )
| ( sk2 @ K ) )
& ( ~ ( sk2 @ ( sk5 @ K @ J ) )
| ( K
!= ( ^ [R: b] :
? [S: b > $o] :
( ( J @ S )
& ( S @ R ) ) ) )
| ( sk2 @ K ) )
& ( ~ ( sk2 @ L )
| ~ ( sk2 @ M )
| ( N
!= ( ^ [R: b] :
( ( L @ R )
& ( M @ R ) ) ) )
| ( sk2 @ N ) )
& ( ~ ( sk2 @ O )
| ( P
!= ( ^ [R: a] : ( O @ ( sk3 @ R ) ) ) )
| ( sk1 @ P ) )
& ( ( Q
!= ( ^ [R: b] :
~ ( sk6 @ R ) ) )
| ( sk2 @ Q ) )
& ( sk7
= ( ^ [R: a] : ( sk6 @ ( sk3 @ R ) ) ) )
& ( sk8
= ( ^ [R: a] :
~ ( sk7 @ R ) ) )
& ~ ( sk1 @ sk8 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(19,plain,
! [A: b > $o] :
( ( A
!= ( ^ [B: b] :
~ ( sk6 @ B ) ) )
| ( sk2 @ A ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(42,plain,
! [A: b > $o] :
( ( A
!= ( ^ [B: b] :
~ ( sk6 @ B ) ) )
| ( sk2 @ A ) ),
inference(lifteq,[status(thm)],[19]) ).
thf(43,plain,
( sk2
@ ^ [A: b] :
~ ( sk6 @ A ) ),
inference(simp,[status(thm)],[42]) ).
thf(10,plain,
! [B: a > $o,A: b > $o] :
( ~ ( sk2 @ A )
| ( B
!= ( ^ [C: a] : ( A @ ( sk3 @ C ) ) ) )
| ( sk1 @ B ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(22,plain,
! [B: a > $o,A: b > $o] :
( ( B
!= ( ^ [C: a] : ( A @ ( sk3 @ C ) ) ) )
| ~ ( sk2 @ A )
| ( sk1 @ B ) ),
inference(lifteq,[status(thm)],[10]) ).
thf(23,plain,
! [A: b > $o] :
( ~ ( sk2 @ A )
| ( sk1
@ ^ [B: a] : ( A @ ( sk3 @ B ) ) ) ),
inference(simp,[status(thm)],[22]) ).
thf(12,plain,
~ ( sk1 @ sk8 ),
inference(cnfConj,[status(thm)],[4]) ).
thf(11,plain,
( sk8
= ( ^ [A: a] :
~ ( sk7 @ A ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(39,plain,
( sk8
= ( ^ [A: a] :
~ ( sk7 @ A ) ) ),
inference(lifteq,[status(thm)],[11]) ).
thf(87,plain,
~ ( sk1
@ ^ [A: a] :
~ ( sk7 @ A ) ),
inference(rewrite,[status(thm)],[12,39]) ).
thf(121,plain,
! [A: b > $o] :
( ~ ( sk2 @ A )
| ~ $true
| ( ( sk1
@ ^ [B: a] : ( A @ ( sk3 @ B ) ) )
!= ( sk1
@ ^ [B: a] :
~ ( sk7 @ B ) ) ) ),
inference(paramod_ordered,[status(thm)],[23,87]) ).
thf(122,plain,
! [A: b > $o] :
( ~ ( sk2 @ A )
| ( ( sk1
@ ^ [B: a] : ( A @ ( sk3 @ B ) ) )
!= ( sk1
@ ^ [B: a] :
~ ( sk7 @ B ) ) ) ),
inference(simp,[status(thm)],[121]) ).
thf(127,plain,
! [A: b > $o] :
( ~ ( sk2 @ A )
| ( ( ^ [B: a] : ( A @ ( sk3 @ B ) ) )
!= ( ^ [B: a] :
~ ( sk7 @ B ) ) ) ),
inference(simp,[status(thm)],[122]) ).
thf(144,plain,
! [A: b > $o] :
( ~ $true
| ( ( ^ [B: a] : ( A @ ( sk3 @ B ) ) )
!= ( ^ [B: a] :
~ ( sk7 @ B ) ) )
| ( ( sk2
@ ^ [B: b] :
~ ( sk6 @ B ) )
!= ( sk2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[43,127]) ).
thf(145,plain,
! [A: b > $o] :
( ( ( ^ [B: a] : ( A @ ( sk3 @ B ) ) )
!= ( ^ [B: a] :
~ ( sk7 @ B ) ) )
| ( ( sk2
@ ^ [B: b] :
~ ( sk6 @ B ) )
!= ( sk2 @ A ) ) ),
inference(simp,[status(thm)],[144]) ).
thf(146,plain,
( ( ^ [A: a] :
~ ( sk7 @ A ) )
!= ( ^ [A: a] :
~ ( sk6 @ ( sk3 @ A ) ) ) ),
inference(pattern_uni,[status(thm)],[145:[bind(A,$thf( ^ [B: b] : ~ ( sk6 @ B ) ))]]) ).
thf(153,plain,
( sk7
!= ( ^ [A: a] : ( sk6 @ ( sk3 @ A ) ) ) ),
inference(simp,[status(thm)],[146]) ).
thf(13,plain,
( sk7
= ( ^ [A: a] : ( sk6 @ ( sk3 @ A ) ) ) ),
inference(cnfConj,[status(thm)],[4]) ).
thf(30,plain,
( sk7
= ( ^ [A: a] : ( sk6 @ ( sk3 @ A ) ) ) ),
inference(lifteq,[status(thm)],[13]) ).
thf(157,plain,
( ( ^ [A: a] : ( sk6 @ ( sk3 @ A ) ) )
!= ( ^ [A: a] : ( sk6 @ ( sk3 @ A ) ) ) ),
inference(rewrite,[status(thm)],[153,30]) ).
thf(158,plain,
$false,
inference(simp,[status(thm)],[157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV260^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.11/0.22 % Computer : n011.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Tue Sep 29 15:28:31 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.66/0.55 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.05/0.66 % [INFO] Parsing done (108ms).
% 1.05/0.66 % [INFO] Running in sequential loop mode.
% 1.42/0.86 % [INFO] eprover registered as external prover.
% 1.42/0.87 % [INFO] Scanning for conjecture ...
% 1.66/0.93 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.66/0.95 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.66/0.96 % [INFO] Problem is higher-order (TPTP THF).
% 1.66/0.96 % [INFO] Type checking passed.
% 1.66/0.96 % [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 ...
% 8.55/2.62 % [INFO] Killing All external provers ...
% 8.55/2.63 % Time passed: 2303ms (effective reasoning time: 1956ms)
% 8.55/2.63 % 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)>
% 8.55/2.63 % Axioms used in derivation (0):
% 8.55/2.63 % No. of inferences in proof: 25
% 8.55/2.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2303 ms resp. 1956 ms w/o parsing
% 8.36/2.75 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.36/2.75 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------