%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL662+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n026.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 : Sun Sep 27 07:52:24 AM UTC 2026
% Result : Theorem 76.85s 37.77s
% Output : Refutation 70.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 627 ( 0 equ; 0 cnn)
% Maximal formula atoms : 208 ( 104 avg)
% Number of connectives : 2718 ( 923 ~; 585 |; 36 &;1174 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 34 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 551 ( 0 ^; 548 !; 3 ?; 551 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_decl,type,
r1: $i > $i > $o ).
thf(p1_decl,type,
p1: $i > $o ).
thf(p2_decl,type,
p2: $i > $o ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ( A @ p1 )
| ( ~ ( A @ p1 )
& ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ( G @ p2 )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ( ~ ( A @ p1 )
& ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ( G @ p1 )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ( ~ ( A @ p2 )
& ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ( G @ p1 )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ~ ( ~ ( F @ p1 )
& ~ ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ( L @ p2 )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ~ ( ~ ( F @ p1 )
& ~ ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ( L @ p1 )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ~ ( ~ ( F @ p2 )
& ~ ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ( L @ p1 )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ~ ! [D: $i] :
( ~ ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ~ ( ~ ( K @ p1 )
& ~ ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
( ~ ( Q @ p2 )
| ~ ( Q @ ( P @ r1 ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ~ ! [D: $i] :
( ~ ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ~ ( ~ ( K @ p1 )
& ~ ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
( ~ ( Q @ p1 )
| ~ ( Q @ ( P @ r1 ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ~ ! [D: $i] :
( ~ ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ~ ( ~ ( K @ p2 )
& ~ ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
( ~ ( Q @ p1 )
| ~ ( Q @ ( P @ r1 ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ! [D: $i] :
( ~ ! [E: $i] :
( ~ ! [F: $i] :
( ! [G: $i] :
( ! [H: $i] :
( ~ ! [I: $i] :
( ~ ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ~ ( ~ ( P @ p1 )
& ~ ! [Q: $i] :
( ~ ! [R: $i] :
( ~ ! [S: $i] :
( ! [T: $i] :
( ! [U: $i] :
( ! [V: $i] :
( ~ ( V @ p2 )
| ~ ( V @ ( U @ r1 ) ) )
| ~ ( U @ ( T @ r1 ) ) )
| ~ ( T @ ( S @ r1 ) ) )
| ~ ( S @ ( R @ r1 ) ) )
| ~ ( R @ ( Q @ r1 ) ) )
| ~ ( Q @ ( P @ r1 ) ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ! [D: $i] :
( ~ ! [E: $i] :
( ~ ! [F: $i] :
( ! [G: $i] :
( ! [H: $i] :
( ~ ! [I: $i] :
( ~ ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ~ ( ~ ( P @ p1 )
& ~ ! [Q: $i] :
( ~ ! [R: $i] :
( ~ ! [S: $i] :
( ! [T: $i] :
( ! [U: $i] :
( ! [V: $i] :
( ~ ( V @ p1 )
| ~ ( V @ ( U @ r1 ) ) )
| ~ ( U @ ( T @ r1 ) ) )
| ~ ( T @ ( S @ r1 ) ) )
| ~ ( S @ ( R @ r1 ) ) )
| ~ ( R @ ( Q @ r1 ) ) )
| ~ ( Q @ ( P @ r1 ) ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ! [D: $i] :
( ~ ! [E: $i] :
( ~ ! [F: $i] :
( ! [G: $i] :
( ! [H: $i] :
( ~ ! [I: $i] :
( ~ ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ~ ( ~ ( P @ p2 )
& ~ ! [Q: $i] :
( ~ ! [R: $i] :
( ~ ! [S: $i] :
( ! [T: $i] :
( ! [U: $i] :
( ! [V: $i] :
( ~ ( V @ p1 )
| ~ ( V @ ( U @ r1 ) ) )
| ~ ( U @ ( T @ r1 ) ) )
| ~ ( T @ ( S @ r1 ) ) )
| ~ ( S @ ( R @ r1 ) ) )
| ~ ( R @ ( Q @ r1 ) ) )
| ~ ( Q @ ( P @ r1 ) ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ! [D: $i] :
( ! [E: $i] :
( ~ ! [F: $i] :
( ~ ! [G: $i] :
( ! [H: $i] :
( ! [I: $i] :
( ~ ! [J: $i] :
( ~ ! [K: $i] :
( ! [L: $i] :
( ! [M: $i] :
( ~ ! [N: $i] :
( ~ ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
( ~ ! [R: $i] :
( ~ ! [S: $i] :
( ! [T: $i] :
( ! [U: $i] :
( ( U @ p1 )
| ~ ( U @ ( T @ r1 ) ) )
| ~ ( T @ ( S @ r1 ) ) )
| ~ ( S @ ( R @ r1 ) ) )
| ~ ( R @ ( Q @ r1 ) ) )
| ~ ( Q @ ( P @ r1 ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ( A @ p1 )
| ( ~ ( A @ p1 )
& ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ( G @ p2 )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ( ~ ( A @ p1 )
& ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ( G @ p1 )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ( ~ ( A @ p2 )
& ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ( G @ p1 )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ~ ( ~ ( F @ p1 )
& ~ ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ( L @ p2 )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ~ ( ~ ( F @ p1 )
& ~ ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ( L @ p1 )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ~ ( ~ ( F @ p2 )
& ~ ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ( L @ p1 )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ~ ! [D: $i] :
( ~ ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ~ ( ~ ( K @ p1 )
& ~ ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
( ~ ( Q @ p2 )
| ~ ( Q @ ( P @ r1 ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ~ ! [D: $i] :
( ~ ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ~ ( ~ ( K @ p1 )
& ~ ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
( ~ ( Q @ p1 )
| ~ ( Q @ ( P @ r1 ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ~ ! [D: $i] :
( ~ ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ~ ( ~ ( K @ p2 )
& ~ ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
( ~ ( Q @ p1 )
| ~ ( Q @ ( P @ r1 ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ! [D: $i] :
( ~ ! [E: $i] :
( ~ ! [F: $i] :
( ! [G: $i] :
( ! [H: $i] :
( ~ ! [I: $i] :
( ~ ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ~ ( ~ ( P @ p1 )
& ~ ! [Q: $i] :
( ~ ! [R: $i] :
( ~ ! [S: $i] :
( ! [T: $i] :
( ! [U: $i] :
( ! [V: $i] :
( ~ ( V @ p2 )
| ~ ( V @ ( U @ r1 ) ) )
| ~ ( U @ ( T @ r1 ) ) )
| ~ ( T @ ( S @ r1 ) ) )
| ~ ( S @ ( R @ r1 ) ) )
| ~ ( R @ ( Q @ r1 ) ) )
| ~ ( Q @ ( P @ r1 ) ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ! [D: $i] :
( ~ ! [E: $i] :
( ~ ! [F: $i] :
( ! [G: $i] :
( ! [H: $i] :
( ~ ! [I: $i] :
( ~ ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ~ ( ~ ( P @ p1 )
& ~ ! [Q: $i] :
( ~ ! [R: $i] :
( ~ ! [S: $i] :
( ! [T: $i] :
( ! [U: $i] :
( ! [V: $i] :
( ~ ( V @ p1 )
| ~ ( V @ ( U @ r1 ) ) )
| ~ ( U @ ( T @ r1 ) ) )
| ~ ( T @ ( S @ r1 ) ) )
| ~ ( S @ ( R @ r1 ) ) )
| ~ ( R @ ( Q @ r1 ) ) )
| ~ ( Q @ ( P @ r1 ) ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ! [D: $i] :
( ~ ! [E: $i] :
( ~ ! [F: $i] :
( ! [G: $i] :
( ! [H: $i] :
( ~ ! [I: $i] :
( ~ ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ~ ( ~ ( P @ p2 )
& ~ ! [Q: $i] :
( ~ ! [R: $i] :
( ~ ! [S: $i] :
( ! [T: $i] :
( ! [U: $i] :
( ! [V: $i] :
( ~ ( V @ p1 )
| ~ ( V @ ( U @ r1 ) ) )
| ~ ( U @ ( T @ r1 ) ) )
| ~ ( T @ ( S @ r1 ) ) )
| ~ ( S @ ( R @ r1 ) ) )
| ~ ( R @ ( Q @ r1 ) ) )
| ~ ( Q @ ( P @ r1 ) ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ! [D: $i] :
( ! [E: $i] :
( ~ ! [F: $i] :
( ~ ! [G: $i] :
( ! [H: $i] :
( ! [I: $i] :
( ~ ! [J: $i] :
( ~ ! [K: $i] :
( ! [L: $i] :
( ! [M: $i] :
( ~ ! [N: $i] :
( ~ ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
( ~ ! [R: $i] :
( ~ ! [S: $i] :
( ! [T: $i] :
( ! [U: $i] :
( ( U @ p1 )
| ~ ( U @ ( T @ r1 ) ) )
| ~ ( T @ ( S @ r1 ) ) )
| ~ ( S @ ( R @ r1 ) ) )
| ~ ( R @ ( Q @ r1 ) ) )
| ~ ( Q @ ( P @ r1 ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ~ ? [A: $i] :
~ ( ( A @ p1 )
| ( ~ ( A @ p1 )
& ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ( G @ p2 )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ( ~ ( A @ p1 )
& ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ( G @ p1 )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ( ~ ( A @ p2 )
& ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ( G @ p1 )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ~ ( ~ ( F @ p1 )
& ~ ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ( L @ p2 )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ~ ( ~ ( F @ p1 )
& ~ ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ( L @ p1 )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ~ ! [C: $i] :
( ~ ! [D: $i] :
( ! [E: $i] :
( ! [F: $i] :
( ~ ( ~ ( F @ p2 )
& ~ ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ( L @ p1 )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ~ ! [D: $i] :
( ~ ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ~ ( ~ ( K @ p1 )
& ~ ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
( ~ ( Q @ p2 )
| ~ ( Q @ ( P @ r1 ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ~ ! [D: $i] :
( ~ ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ~ ( ~ ( K @ p1 )
& ~ ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
( ~ ( Q @ p1 )
| ~ ( Q @ ( P @ r1 ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ~ ! [D: $i] :
( ~ ! [E: $i] :
( ! [F: $i] :
( ! [G: $i] :
( ~ ! [H: $i] :
( ~ ! [I: $i] :
( ! [J: $i] :
( ! [K: $i] :
( ~ ( ~ ( K @ p2 )
& ~ ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
( ~ ( Q @ p1 )
| ~ ( Q @ ( P @ r1 ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ! [D: $i] :
( ~ ! [E: $i] :
( ~ ! [F: $i] :
( ! [G: $i] :
( ! [H: $i] :
( ~ ! [I: $i] :
( ~ ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ~ ( ~ ( P @ p1 )
& ~ ! [Q: $i] :
( ~ ! [R: $i] :
( ~ ! [S: $i] :
( ! [T: $i] :
( ! [U: $i] :
( ! [V: $i] :
( ~ ( V @ p2 )
| ~ ( V @ ( U @ r1 ) ) )
| ~ ( U @ ( T @ r1 ) ) )
| ~ ( T @ ( S @ r1 ) ) )
| ~ ( S @ ( R @ r1 ) ) )
| ~ ( R @ ( Q @ r1 ) ) )
| ~ ( Q @ ( P @ r1 ) ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ! [D: $i] :
( ~ ! [E: $i] :
( ~ ! [F: $i] :
( ! [G: $i] :
( ! [H: $i] :
( ~ ! [I: $i] :
( ~ ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ~ ( ~ ( P @ p1 )
& ~ ! [Q: $i] :
( ~ ! [R: $i] :
( ~ ! [S: $i] :
( ! [T: $i] :
( ! [U: $i] :
( ! [V: $i] :
( ~ ( V @ p1 )
| ~ ( V @ ( U @ r1 ) ) )
| ~ ( U @ ( T @ r1 ) ) )
| ~ ( T @ ( S @ r1 ) ) )
| ~ ( S @ ( R @ r1 ) ) )
| ~ ( R @ ( Q @ r1 ) ) )
| ~ ( Q @ ( P @ r1 ) ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ! [D: $i] :
( ~ ! [E: $i] :
( ~ ! [F: $i] :
( ! [G: $i] :
( ! [H: $i] :
( ~ ! [I: $i] :
( ~ ! [J: $i] :
( ! [K: $i] :
( ! [L: $i] :
( ~ ! [M: $i] :
( ~ ! [N: $i] :
( ! [O: $i] :
( ! [P: $i] :
( ~ ( ~ ( P @ p2 )
& ~ ! [Q: $i] :
( ~ ! [R: $i] :
( ~ ! [S: $i] :
( ! [T: $i] :
( ! [U: $i] :
( ! [V: $i] :
( ~ ( V @ p1 )
| ~ ( V @ ( U @ r1 ) ) )
| ~ ( U @ ( T @ r1 ) ) )
| ~ ( T @ ( S @ r1 ) ) )
| ~ ( S @ ( R @ r1 ) ) )
| ~ ( R @ ( Q @ r1 ) ) )
| ~ ( Q @ ( P @ r1 ) ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ! [B: $i] :
( ! [C: $i] :
( ! [D: $i] :
( ! [E: $i] :
( ~ ! [F: $i] :
( ~ ! [G: $i] :
( ! [H: $i] :
( ! [I: $i] :
( ~ ! [J: $i] :
( ~ ! [K: $i] :
( ! [L: $i] :
( ! [M: $i] :
( ~ ! [N: $i] :
( ~ ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
( ~ ! [R: $i] :
( ~ ! [S: $i] :
( ! [T: $i] :
( ! [U: $i] :
( ( U @ p1 )
| ~ ( U @ ( T @ r1 ) ) )
| ~ ( T @ ( S @ r1 ) ) )
| ~ ( S @ ( R @ r1 ) ) )
| ~ ( R @ ( Q @ r1 ) ) )
| ~ ( Q @ ( P @ r1 ) ) )
| ~ ( P @ ( O @ r1 ) ) )
| ~ ( O @ ( N @ r1 ) ) )
| ~ ( N @ ( M @ r1 ) ) )
| ~ ( M @ ( L @ r1 ) ) )
| ~ ( L @ ( K @ r1 ) ) )
| ~ ( K @ ( J @ r1 ) ) )
| ~ ( J @ ( I @ r1 ) ) )
| ~ ( I @ ( H @ r1 ) ) )
| ~ ( H @ ( G @ r1 ) ) )
| ~ ( G @ ( F @ r1 ) ) )
| ~ ( F @ ( E @ r1 ) ) )
| ~ ( E @ ( D @ r1 ) ) )
| ~ ( D @ ( C @ r1 ) ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] : ( A @ ( A @ r1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
thf(98,plain,
! [A: $i] : ( A @ ( A @ r1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5986,plain,
$false,
inference(e,[status(thm)],[4,98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL662+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.16/15.44 % Computer : n026.cluster.edu
% 0.16/15.44 % Model : x86_64 x86_64
% 0.16/15.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/15.44 % Memory : 8046.5625MB
% 0.16/15.44 % OS : Linux 6.8.0-71-generic
% 0.16/15.44 % CPULimit : 300
% 0.16/15.44 % WCLimit : 300
% 0.16/15.44 % DateTime : Fri Sep 25 23:08:42 UTC 2026
% 0.16/15.44 % CPUTime :
% 0.16/15.44 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.28/16.26 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.21/16.63 % [INFO] Parsing done (364ms).
% 2.21/16.66 % [INFO] Running in sequential loop mode.
% 3.39/17.23 % [INFO] eprover registered as external prover.
% 3.39/17.24 % [INFO] Scanning for conjecture ...
% 4.16/17.61 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 4.35/17.71 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 4.35/17.72 % [INFO] Problem is first-order (TPTP FOF).
% 4.35/17.75 % [INFO] Type checking passed.
% 4.35/17.76 % [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 ...
% 76.85/37.77 % External prover 'e' found a proof!
% 76.85/37.77 % [INFO] Killing All external provers ...
% 76.85/37.77 % Time passed: 22126ms (effective reasoning time: 21105ms)
% 76.85/37.77 % 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)>
% 76.85/37.77 % Axioms used in derivation (1): reflexivity
% 76.85/37.77 % No. of inferences in proof: 6
% 76.85/37.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 22126 ms resp. 21105 ms w/o parsing
% 70.37/37.90 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 70.37/37.91 % [INFO] Killing All external provers ...
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