%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL650+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 : Fri May 19 11:30:58 EDT 2023
% Result : Theorem 10.60s 3.78s
% Output : Refutation 10.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 27
% Syntax : Number of formulae : 30 ( 1 unt; 26 typ; 0 def)
% Number of atoms : 868 ( 0 equ; 0 cnn)
% Maximal formula atoms : 289 ( 217 avg)
% Number of connectives : 3147 ( 870 ~; 684 |; 180 &;1413 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 104 ( 78 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 26 usr; 1 con; 0-2 aty)
% Number of variables : 549 ( 0 ^; 546 !; 3 ?; 549 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p32_type,type,
p32: $i > $o ).
thf(p30_type,type,
p30: $i > $o ).
thf(p28_type,type,
p28: $i > $o ).
thf(p26_type,type,
p26: $i > $o ).
thf(p24_type,type,
p24: $i > $o ).
thf(p22_type,type,
p22: $i > $o ).
thf(p20_type,type,
p20: $i > $o ).
thf(p18_type,type,
p18: $i > $o ).
thf(p16_type,type,
p16: $i > $o ).
thf(p14_type,type,
p14: $i > $o ).
thf(p12_type,type,
p12: $i > $o ).
thf(p10_type,type,
p10: $i > $o ).
thf(p8_type,type,
p8: $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p17_type,type,
p17: $i > $o ).
thf(p15_type,type,
p15: $i > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(p13_type,type,
p13: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(p9_type,type,
p9: $i > $o ).
thf(p7_type,type,
p7: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ( ~ ( p32 @ Q )
& ~ ( p30 @ Q )
& ~ ( p28 @ Q )
& ~ ( p26 @ Q )
& ~ ( p24 @ Q )
& ~ ( p22 @ Q )
& ~ ( p20 @ Q )
& ~ ( p18 @ Q )
& ~ ( p16 @ Q )
& ~ ( p14 @ Q )
& ~ ( p12 @ Q )
& ~ ( p10 @ Q )
& ~ ( p8 @ Q )
& ~ ( p6 @ Q )
& ~ ( p4 @ Q )
& ~ ( p2 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p17 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p15 @ Q )
& ~ ( p1 @ Q ) )
| ( ( p1 @ Q )
& ( p15 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p14 @ Q )
& ~ ( p15 @ Q ) )
| ( ( p15 @ Q )
& ( p14 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p15 @ D ) )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p13 @ Q )
& ~ ( p14 @ Q ) )
| ( ( p14 @ Q )
& ( p13 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p14 @ E ) )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p12 @ Q )
& ~ ( p13 @ Q ) )
| ( ( p13 @ Q )
& ( p12 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p13 @ F ) )
| ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p11 @ Q )
& ~ ( p12 @ Q ) )
| ( ( p12 @ Q )
& ( p11 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p12 @ G ) )
| ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p10 @ Q )
& ~ ( p11 @ Q ) )
| ( ( p11 @ Q )
& ( p10 @ Q ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p11 @ H ) )
| ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ~ ( ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p9 @ Q )
& ~ ( p10 @ Q ) )
| ( ( p10 @ Q )
& ( p9 @ Q ) ) ) ) ) ) ) ) ) ) ) )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ( p10 @ I ) )
| ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p8 @ Q )
& ~ ( p9 @ Q ) )
| ( ( p9 @ Q )
& ( p8 @ Q ) ) ) ) ) ) ) ) ) ) )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ( p9 @ J ) )
| ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ~ ( ~ ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p7 @ Q )
& ~ ( p8 @ Q ) )
| ( ( p8 @ Q )
& ( p7 @ Q ) ) ) ) ) ) ) ) ) )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ( p8 @ K ) )
| ~ ! [K: $i] :
( ~ ( r1 @ J @ K )
| ~ ( ~ ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p6 @ Q )
& ~ ( p7 @ Q ) )
| ( ( p7 @ Q )
& ( p6 @ Q ) ) ) ) ) ) ) ) )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ( p7 @ L ) )
| ~ ! [L: $i] :
( ~ ( r1 @ K @ L )
| ~ ( ~ ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p5 @ Q )
& ~ ( p6 @ Q ) )
| ( ( p6 @ Q )
& ( p5 @ Q ) ) ) ) ) ) ) )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ( p6 @ M ) )
| ~ ! [M: $i] :
( ~ ( r1 @ L @ M )
| ~ ( ~ ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p4 @ Q )
& ~ ( p5 @ Q ) )
| ( ( p5 @ Q )
& ( p4 @ Q ) ) ) ) ) ) )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ( p5 @ N ) )
| ~ ! [N: $i] :
( ~ ( r1 @ M @ N )
| ~ ( ~ ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p3 @ Q )
& ~ ( p4 @ Q ) )
| ( ( p4 @ Q )
& ( p3 @ Q ) ) ) ) ) )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ( p4 @ O ) )
| ~ ! [O: $i] :
( ~ ( r1 @ N @ O )
| ~ ( ~ ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p2 @ Q )
& ~ ( p3 @ Q ) )
| ( ( p3 @ Q )
& ( p2 @ Q ) ) ) ) )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ( p3 @ P ) )
| ~ ! [P: $i] :
( ~ ( r1 @ O @ P )
| ~ ~ ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p1 @ Q )
& ~ ( p2 @ Q ) )
| ( ( p2 @ Q )
& ( p1 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ( ( p16 @ Q )
& ( p15 @ Q )
& ( p14 @ Q )
& ( p13 @ Q )
& ( p12 @ Q )
& ( p11 @ Q )
& ( p10 @ Q )
& ( p9 @ Q )
& ( p8 @ Q )
& ( p7 @ Q )
& ( p6 @ Q )
& ( p5 @ Q )
& ( p4 @ Q )
& ( p3 @ Q )
& ( p2 @ Q )
& ( p1 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ( ~ ( p32 @ Q )
& ~ ( p30 @ Q )
& ~ ( p28 @ Q )
& ~ ( p26 @ Q )
& ~ ( p24 @ Q )
& ~ ( p22 @ Q )
& ~ ( p20 @ Q )
& ~ ( p18 @ Q )
& ~ ( p16 @ Q )
& ~ ( p14 @ Q )
& ~ ( p12 @ Q )
& ~ ( p10 @ Q )
& ~ ( p8 @ Q )
& ~ ( p6 @ Q )
& ~ ( p4 @ Q )
& ~ ( p2 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p17 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p15 @ Q )
& ~ ( p1 @ Q ) )
| ( ( p1 @ Q )
& ( p15 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p14 @ Q )
& ~ ( p15 @ Q ) )
| ( ( p15 @ Q )
& ( p14 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p15 @ D ) )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p13 @ Q )
& ~ ( p14 @ Q ) )
| ( ( p14 @ Q )
& ( p13 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p14 @ E ) )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p12 @ Q )
& ~ ( p13 @ Q ) )
| ( ( p13 @ Q )
& ( p12 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p13 @ F ) )
| ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p11 @ Q )
& ~ ( p12 @ Q ) )
| ( ( p12 @ Q )
& ( p11 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p12 @ G ) )
| ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p10 @ Q )
& ~ ( p11 @ Q ) )
| ( ( p11 @ Q )
& ( p10 @ Q ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p11 @ H ) )
| ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ~ ( ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p9 @ Q )
& ~ ( p10 @ Q ) )
| ( ( p10 @ Q )
& ( p9 @ Q ) ) ) ) ) ) ) ) ) ) ) )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ( p10 @ I ) )
| ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p8 @ Q )
& ~ ( p9 @ Q ) )
| ( ( p9 @ Q )
& ( p8 @ Q ) ) ) ) ) ) ) ) ) ) )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ( p9 @ J ) )
| ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ~ ( ~ ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p7 @ Q )
& ~ ( p8 @ Q ) )
| ( ( p8 @ Q )
& ( p7 @ Q ) ) ) ) ) ) ) ) ) )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ( p8 @ K ) )
| ~ ! [K: $i] :
( ~ ( r1 @ J @ K )
| ~ ( ~ ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p6 @ Q )
& ~ ( p7 @ Q ) )
| ( ( p7 @ Q )
& ( p6 @ Q ) ) ) ) ) ) ) ) )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ( p7 @ L ) )
| ~ ! [L: $i] :
( ~ ( r1 @ K @ L )
| ~ ( ~ ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p5 @ Q )
& ~ ( p6 @ Q ) )
| ( ( p6 @ Q )
& ( p5 @ Q ) ) ) ) ) ) ) )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ( p6 @ M ) )
| ~ ! [M: $i] :
( ~ ( r1 @ L @ M )
| ~ ( ~ ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p4 @ Q )
& ~ ( p5 @ Q ) )
| ( ( p5 @ Q )
& ( p4 @ Q ) ) ) ) ) ) )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ( p5 @ N ) )
| ~ ! [N: $i] :
( ~ ( r1 @ M @ N )
| ~ ( ~ ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p3 @ Q )
& ~ ( p4 @ Q ) )
| ( ( p4 @ Q )
& ( p3 @ Q ) ) ) ) ) )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ( p4 @ O ) )
| ~ ! [O: $i] :
( ~ ( r1 @ N @ O )
| ~ ( ~ ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p2 @ Q )
& ~ ( p3 @ Q ) )
| ( ( p3 @ Q )
& ( p2 @ Q ) ) ) ) )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ( p3 @ P ) )
| ~ ! [P: $i] :
( ~ ( r1 @ O @ P )
| ~ ~ ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p1 @ Q )
& ~ ( p2 @ Q ) )
| ( ( p2 @ Q )
& ( p1 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ( ( p16 @ Q )
& ( p15 @ Q )
& ( p14 @ Q )
& ( p13 @ Q )
& ( p12 @ Q )
& ( p11 @ Q )
& ( p10 @ Q )
& ( p9 @ Q )
& ( p8 @ Q )
& ( p7 @ Q )
& ( p6 @ Q )
& ( p5 @ Q )
& ( p4 @ Q )
& ( p3 @ Q )
& ( p2 @ Q )
& ( p1 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ( ~ ( p32 @ Q )
& ~ ( p30 @ Q )
& ~ ( p28 @ Q )
& ~ ( p26 @ Q )
& ~ ( p24 @ Q )
& ~ ( p22 @ Q )
& ~ ( p20 @ Q )
& ~ ( p18 @ Q )
& ~ ( p16 @ Q )
& ~ ( p14 @ Q )
& ~ ( p12 @ Q )
& ~ ( p10 @ Q )
& ~ ( p8 @ Q )
& ~ ( p6 @ Q )
& ~ ( p4 @ Q )
& ~ ( p2 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p17 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p15 @ Q )
& ~ ( p1 @ Q ) )
| ( ( p1 @ Q )
& ( p15 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p16 @ C ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p14 @ Q )
& ~ ( p15 @ Q ) )
| ( ( p15 @ Q )
& ( p14 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p15 @ D ) )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p13 @ Q )
& ~ ( p14 @ Q ) )
| ( ( p14 @ Q )
& ( p13 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p14 @ E ) )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ( ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p12 @ Q )
& ~ ( p13 @ Q ) )
| ( ( p13 @ Q )
& ( p12 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ( p13 @ F ) )
| ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p11 @ Q )
& ~ ( p12 @ Q ) )
| ( ( p12 @ Q )
& ( p11 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ( p12 @ G ) )
| ~ ! [G: $i] :
( ~ ( r1 @ F @ G )
| ~ ( ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p10 @ Q )
& ~ ( p11 @ Q ) )
| ( ( p11 @ Q )
& ( p10 @ Q ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p11 @ H ) )
| ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ~ ( ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p9 @ Q )
& ~ ( p10 @ Q ) )
| ( ( p10 @ Q )
& ( p9 @ Q ) ) ) ) ) ) ) ) ) ) ) )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ( p10 @ I ) )
| ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ~ ( ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p8 @ Q )
& ~ ( p9 @ Q ) )
| ( ( p9 @ Q )
& ( p8 @ Q ) ) ) ) ) ) ) ) ) ) )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ( p9 @ J ) )
| ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ~ ( ~ ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p7 @ Q )
& ~ ( p8 @ Q ) )
| ( ( p8 @ Q )
& ( p7 @ Q ) ) ) ) ) ) ) ) ) )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ( p8 @ K ) )
| ~ ! [K: $i] :
( ~ ( r1 @ J @ K )
| ~ ( ~ ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p6 @ Q )
& ~ ( p7 @ Q ) )
| ( ( p7 @ Q )
& ( p6 @ Q ) ) ) ) ) ) ) ) )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ( p7 @ L ) )
| ~ ! [L: $i] :
( ~ ( r1 @ K @ L )
| ~ ( ~ ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p5 @ Q )
& ~ ( p6 @ Q ) )
| ( ( p6 @ Q )
& ( p5 @ Q ) ) ) ) ) ) ) )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ( p6 @ M ) )
| ~ ! [M: $i] :
( ~ ( r1 @ L @ M )
| ~ ( ~ ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p4 @ Q )
& ~ ( p5 @ Q ) )
| ( ( p5 @ Q )
& ( p4 @ Q ) ) ) ) ) ) )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ( p5 @ N ) )
| ~ ! [N: $i] :
( ~ ( r1 @ M @ N )
| ~ ( ~ ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p3 @ Q )
& ~ ( p4 @ Q ) )
| ( ( p4 @ Q )
& ( p3 @ Q ) ) ) ) ) )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ( p4 @ O ) )
| ~ ! [O: $i] :
( ~ ( r1 @ N @ O )
| ~ ( ~ ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p2 @ Q )
& ~ ( p3 @ Q ) )
| ( ( p3 @ Q )
& ( p2 @ Q ) ) ) ) )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ( p3 @ P ) )
| ~ ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ~ ( ( ~ ( p1 @ Q )
& ~ ( p2 @ Q ) )
| ( ( p2 @ Q )
& ( p1 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ! [F: $i] :
( ~ ( r1 @ E @ F )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ! [L: $i] :
( ~ ( r1 @ K @ L )
| ! [M: $i] :
( ~ ( r1 @ L @ M )
| ! [N: $i] :
( ~ ( r1 @ M @ N )
| ! [O: $i] :
( ~ ( r1 @ N @ O )
| ! [P: $i] :
( ~ ( r1 @ O @ P )
| ! [Q: $i] :
( ~ ( r1 @ P @ Q )
| ( ( p16 @ Q )
& ( p15 @ Q )
& ( p14 @ Q )
& ( p13 @ Q )
& ( p12 @ Q )
& ( p11 @ Q )
& ( p10 @ Q )
& ( p9 @ Q )
& ( p8 @ Q )
& ( p7 @ Q )
& ( p6 @ Q )
& ( p5 @ Q )
& ( p4 @ Q )
& ( p3 @ Q )
& ( p2 @ Q )
& ( p1 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(1212,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL650+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n004.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 15:45:55 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.87/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/1.00 % [INFO] Parsing done (160ms).
% 1.20/1.00 % [INFO] Running in sequential loop mode.
% 1.90/1.20 % [INFO] eprover registered as external prover.
% 1.90/1.20 % [INFO] cvc4 registered as external prover.
% 1.90/1.20 % [INFO] Scanning for conjecture ...
% 2.38/1.44 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.66/1.51 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.66/1.51 % [INFO] Problem is first-order (TPTP FOF).
% 2.66/1.52 % [INFO] Type checking passed.
% 2.66/1.53 % [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 ...
% 10.60/3.78 % External prover 'cvc4' found a proof!
% 10.60/3.78 % [INFO] Killing All external provers ...
% 10.60/3.78 % Time passed: 3270ms (effective reasoning time: 2775ms)
% 10.60/3.78 % 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)>
% 10.60/3.78 % Axioms used in derivation (0):
% 10.60/3.78 % No. of inferences in proof: 4
% 10.60/3.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3270 ms resp. 2775 ms w/o parsing
% 10.60/3.85 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.60/3.85 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------