%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL644+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vzm4537bcw true
% Computer : n013.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 : Mon Sep 7 01:36:43 PM UTC 2026
% Result : Theorem 61.59s 9.48s
% Output : Refutation 61.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 1743 ( 0 equ; 0 cnn)
% Maximal formula atoms : 870 ( 348 avg)
% Number of connectives : 5104 (1016 ~;1174 |; 564 &;2350 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 19 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 23 usr; 2 con; 0-2 aty)
% Number of variables : 610 ( 0 ^; 608 !; 2 ?; 610 :)
% Comments :
%------------------------------------------------------------------------------
thf(p8_type,type,
p8: $i > $o ).
thf(p19_type,type,
p19: $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(p18_type,type,
p18: $i > $o ).
thf(p20_type,type,
p20: $i > $o ).
thf(p12_type,type,
p12: $i > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p15_type,type,
p15: $i > $o ).
thf(p14_type,type,
p14: $i > $o ).
thf(p10_type,type,
p10: $i > $o ).
thf(p21_type,type,
p21: $i > $o ).
thf(p17_type,type,
p17: $i > $o ).
thf(sk__100_type,type,
sk__100: $i ).
thf(p16_type,type,
p16: $i > $o ).
thf(p9_type,type,
p9: $i > $o ).
thf(p7_type,type,
p7: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p13_type,type,
p13: $i > $o ).
thf(main,conjecture,
~ ? [X: $i] :
~ ( ~ ( ! [Y: $i] :
( ( p20 @ Y )
| ~ ( ( p21 @ Y )
& ! [X: $i] :
( ( p21 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p20 @ Y )
& ! [X: $i] :
( ( p20 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p20 @ Y ) )
| ( p21 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p20 @ Y )
& ! [X: $i] :
( ( p20 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p20 @ Y ) )
| ( p21 @ Y )
| ! [X: $i] :
( ( p20 @ X )
| ~ ( ( p21 @ X )
& ! [Y: $i] :
( ( p21 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p20 @ X )
& ! [Y: $i] :
( ( p20 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p20 @ X ) )
| ( p21 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p20 @ Y )
| ~ ( ( p21 @ Y )
& ! [X: $i] :
( ( p21 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p20 @ Y )
& ! [X: $i] :
( ( p20 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p20 @ Y ) )
| ( p21 @ Y )
| ( p20 @ Y )
| ~ ( ( p21 @ Y )
& ! [X: $i] :
( ( p21 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p19 @ Y )
| ~ ( ( p20 @ Y )
& ! [X: $i] :
( ( p20 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p19 @ Y )
& ! [X: $i] :
( ( p19 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p19 @ Y ) )
| ( p20 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p19 @ Y )
& ! [X: $i] :
( ( p19 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p19 @ Y ) )
| ( p20 @ Y )
| ! [X: $i] :
( ( p19 @ X )
| ~ ( ( p20 @ X )
& ! [Y: $i] :
( ( p20 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p19 @ X )
& ! [Y: $i] :
( ( p19 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p19 @ X ) )
| ( p20 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p19 @ Y )
| ~ ( ( p20 @ Y )
& ! [X: $i] :
( ( p20 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p19 @ Y )
& ! [X: $i] :
( ( p19 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p19 @ Y ) )
| ( p20 @ Y )
| ( p19 @ Y )
| ~ ( ( p20 @ Y )
& ! [X: $i] :
( ( p20 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p18 @ Y )
| ~ ( ( p19 @ Y )
& ! [X: $i] :
( ( p19 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p18 @ Y )
& ! [X: $i] :
( ( p18 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p18 @ Y ) )
| ( p19 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p18 @ Y )
& ! [X: $i] :
( ( p18 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p18 @ Y ) )
| ( p19 @ Y )
| ! [X: $i] :
( ( p18 @ X )
| ~ ( ( p19 @ X )
& ! [Y: $i] :
( ( p19 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p18 @ X )
& ! [Y: $i] :
( ( p18 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p18 @ X ) )
| ( p19 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p18 @ Y )
| ~ ( ( p19 @ Y )
& ! [X: $i] :
( ( p19 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p18 @ Y )
& ! [X: $i] :
( ( p18 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p18 @ Y ) )
| ( p19 @ Y )
| ( p18 @ Y )
| ~ ( ( p19 @ Y )
& ! [X: $i] :
( ( p19 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p17 @ Y )
| ~ ( ( p18 @ Y )
& ! [X: $i] :
( ( p18 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p17 @ Y )
& ! [X: $i] :
( ( p17 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p17 @ Y ) )
| ( p18 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p17 @ Y )
& ! [X: $i] :
( ( p17 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p17 @ Y ) )
| ( p18 @ Y )
| ! [X: $i] :
( ( p17 @ X )
| ~ ( ( p18 @ X )
& ! [Y: $i] :
( ( p18 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p17 @ X )
& ! [Y: $i] :
( ( p17 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p17 @ X ) )
| ( p18 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p17 @ Y )
| ~ ( ( p18 @ Y )
& ! [X: $i] :
( ( p18 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p17 @ Y )
& ! [X: $i] :
( ( p17 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p17 @ Y ) )
| ( p18 @ Y )
| ( p17 @ Y )
| ~ ( ( p18 @ Y )
& ! [X: $i] :
( ( p18 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p16 @ Y )
| ~ ( ( p17 @ Y )
& ! [X: $i] :
( ( p17 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p16 @ Y )
& ! [X: $i] :
( ( p16 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p16 @ Y ) )
| ( p17 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p16 @ Y )
& ! [X: $i] :
( ( p16 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p16 @ Y ) )
| ( p17 @ Y )
| ! [X: $i] :
( ( p16 @ X )
| ~ ( ( p17 @ X )
& ! [Y: $i] :
( ( p17 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p16 @ X )
& ! [Y: $i] :
( ( p16 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p16 @ X ) )
| ( p17 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p16 @ Y )
| ~ ( ( p17 @ Y )
& ! [X: $i] :
( ( p17 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p16 @ Y )
& ! [X: $i] :
( ( p16 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p16 @ Y ) )
| ( p17 @ Y )
| ( p16 @ Y )
| ~ ( ( p17 @ Y )
& ! [X: $i] :
( ( p17 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p15 @ Y )
| ~ ( ( p16 @ Y )
& ! [X: $i] :
( ( p16 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p15 @ Y )
& ! [X: $i] :
( ( p15 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p15 @ Y ) )
| ( p16 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p15 @ Y )
& ! [X: $i] :
( ( p15 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p15 @ Y ) )
| ( p16 @ Y )
| ! [X: $i] :
( ( p15 @ X )
| ~ ( ( p16 @ X )
& ! [Y: $i] :
( ( p16 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p15 @ X )
& ! [Y: $i] :
( ( p15 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p15 @ X ) )
| ( p16 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p15 @ Y )
| ~ ( ( p16 @ Y )
& ! [X: $i] :
( ( p16 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p15 @ Y )
& ! [X: $i] :
( ( p15 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p15 @ Y ) )
| ( p16 @ Y )
| ( p15 @ Y )
| ~ ( ( p16 @ Y )
& ! [X: $i] :
( ( p16 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p14 @ Y )
| ~ ( ( p15 @ Y )
& ! [X: $i] :
( ( p15 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p14 @ Y )
& ! [X: $i] :
( ( p14 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p14 @ Y ) )
| ( p15 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p14 @ Y )
& ! [X: $i] :
( ( p14 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p14 @ Y ) )
| ( p15 @ Y )
| ! [X: $i] :
( ( p14 @ X )
| ~ ( ( p15 @ X )
& ! [Y: $i] :
( ( p15 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p14 @ X )
& ! [Y: $i] :
( ( p14 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p14 @ X ) )
| ( p15 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p14 @ Y )
| ~ ( ( p15 @ Y )
& ! [X: $i] :
( ( p15 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p14 @ Y )
& ! [X: $i] :
( ( p14 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p14 @ Y ) )
| ( p15 @ Y )
| ( p14 @ Y )
| ~ ( ( p15 @ Y )
& ! [X: $i] :
( ( p15 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p13 @ Y )
| ~ ( ( p14 @ Y )
& ! [X: $i] :
( ( p14 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p13 @ Y )
& ! [X: $i] :
( ( p13 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p13 @ Y ) )
| ( p14 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p13 @ Y )
& ! [X: $i] :
( ( p13 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p13 @ Y ) )
| ( p14 @ Y )
| ! [X: $i] :
( ( p13 @ X )
| ~ ( ( p14 @ X )
& ! [Y: $i] :
( ( p14 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p13 @ X )
& ! [Y: $i] :
( ( p13 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p13 @ X ) )
| ( p14 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p13 @ Y )
| ~ ( ( p14 @ Y )
& ! [X: $i] :
( ( p14 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p13 @ Y )
& ! [X: $i] :
( ( p13 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p13 @ Y ) )
| ( p14 @ Y )
| ( p13 @ Y )
| ~ ( ( p14 @ Y )
& ! [X: $i] :
( ( p14 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p12 @ Y )
| ~ ( ( p13 @ Y )
& ! [X: $i] :
( ( p13 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p12 @ Y )
& ! [X: $i] :
( ( p12 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p12 @ Y ) )
| ( p13 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p12 @ Y )
& ! [X: $i] :
( ( p12 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p12 @ Y ) )
| ( p13 @ Y )
| ! [X: $i] :
( ( p12 @ X )
| ~ ( ( p13 @ X )
& ! [Y: $i] :
( ( p13 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p12 @ X )
& ! [Y: $i] :
( ( p12 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p12 @ X ) )
| ( p13 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p12 @ Y )
| ~ ( ( p13 @ Y )
& ! [X: $i] :
( ( p13 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p12 @ Y )
& ! [X: $i] :
( ( p12 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p12 @ Y ) )
| ( p13 @ Y )
| ( p12 @ Y )
| ~ ( ( p13 @ Y )
& ! [X: $i] :
( ( p13 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p11 @ Y )
| ~ ( ( p12 @ Y )
& ! [X: $i] :
( ( p12 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p11 @ Y )
& ! [X: $i] :
( ( p11 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p11 @ Y ) )
| ( p12 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p11 @ Y )
& ! [X: $i] :
( ( p11 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p11 @ Y ) )
| ( p12 @ Y )
| ! [X: $i] :
( ( p11 @ X )
| ~ ( ( p12 @ X )
& ! [Y: $i] :
( ( p12 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p11 @ X )
& ! [Y: $i] :
( ( p11 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p11 @ X ) )
| ( p12 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p11 @ Y )
| ~ ( ( p12 @ Y )
& ! [X: $i] :
( ( p12 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p11 @ Y )
& ! [X: $i] :
( ( p11 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p11 @ Y ) )
| ( p12 @ Y )
| ( p11 @ Y )
| ~ ( ( p12 @ Y )
& ! [X: $i] :
( ( p12 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p10 @ Y )
| ~ ( ( p11 @ Y )
& ! [X: $i] :
( ( p11 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p10 @ Y )
& ! [X: $i] :
( ( p10 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p10 @ Y ) )
| ( p11 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p10 @ Y )
& ! [X: $i] :
( ( p10 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p10 @ Y ) )
| ( p11 @ Y )
| ! [X: $i] :
( ( p10 @ X )
| ~ ( ( p11 @ X )
& ! [Y: $i] :
( ( p11 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p10 @ X )
& ! [Y: $i] :
( ( p10 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p10 @ X ) )
| ( p11 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p10 @ Y )
| ~ ( ( p11 @ Y )
& ! [X: $i] :
( ( p11 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p10 @ Y )
& ! [X: $i] :
( ( p10 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p10 @ Y ) )
| ( p11 @ Y )
| ( p10 @ Y )
| ~ ( ( p11 @ Y )
& ! [X: $i] :
( ( p11 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p9 @ Y )
| ~ ( ( p10 @ Y )
& ! [X: $i] :
( ( p10 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p9 @ Y )
& ! [X: $i] :
( ( p9 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p9 @ Y ) )
| ( p10 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p9 @ Y )
& ! [X: $i] :
( ( p9 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p9 @ Y ) )
| ( p10 @ Y )
| ! [X: $i] :
( ( p9 @ X )
| ~ ( ( p10 @ X )
& ! [Y: $i] :
( ( p10 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
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& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p9 @ X )
& ! [Y: $i] :
( ( p9 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p9 @ X ) )
| ( p10 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p9 @ Y )
| ~ ( ( p10 @ Y )
& ! [X: $i] :
( ( p10 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p9 @ Y )
& ! [X: $i] :
( ( p9 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p9 @ Y ) )
| ( p10 @ Y )
| ( p9 @ Y )
| ~ ( ( p10 @ Y )
& ! [X: $i] :
( ( p10 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p8 @ Y )
| ~ ( ( p9 @ Y )
& ! [X: $i] :
( ( p9 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p8 @ Y )
& ! [X: $i] :
( ( p8 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p8 @ Y ) )
| ( p9 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p8 @ Y )
& ! [X: $i] :
( ( p8 @ X )
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& ( p8 @ Y ) )
| ( p9 @ Y )
| ! [X: $i] :
( ( p8 @ X )
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& ! [Y: $i] :
( ( p9 @ Y )
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& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p8 @ X )
& ! [Y: $i] :
( ( p8 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p8 @ X ) )
| ( p9 @ X )
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| ( p8 @ Y )
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& ! [X: $i] :
( ( p9 @ X )
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& ! [Y: $i] :
( ~ ( ( p8 @ Y )
& ! [X: $i] :
( ( p8 @ X )
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& ( p8 @ Y ) )
| ( p9 @ Y )
| ( p8 @ Y )
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& ! [X: $i] :
( ( p9 @ X )
| ~ ( r1 @ Y @ X ) ) )
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| ~ ( ! [Y: $i] :
( ( p7 @ Y )
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& ! [X: $i] :
( ( p8 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p7 @ Y )
& ! [X: $i] :
( ( p7 @ X )
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& ( p7 @ Y ) )
| ( p8 @ Y )
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| ~ ( ! [Y: $i] :
( ~ ( ( p7 @ Y )
& ! [X: $i] :
( ( p7 @ X )
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& ( p7 @ Y ) )
| ( p8 @ Y )
| ! [X: $i] :
( ( p7 @ X )
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& ! [Y: $i] :
( ( p8 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p7 @ X )
& ! [Y: $i] :
( ( p7 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p7 @ X ) )
| ( p8 @ X )
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| ( p7 @ Y )
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& ! [X: $i] :
( ( p8 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p7 @ Y )
& ! [X: $i] :
( ( p7 @ X )
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& ( p7 @ Y ) )
| ( p8 @ Y )
| ( p7 @ Y )
| ~ ( ( p8 @ Y )
& ! [X: $i] :
( ( p8 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ! [Y: $i] :
( ~ ( ! [X: $i] :
( ( p20 @ X )
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& ( p20 @ Y ) )
| ( p20 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ! [X: $i] :
( ( p20 @ X )
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& ( p20 @ Y ) )
| ( p20 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ( p6 @ Y )
| ~ ( ( p7 @ Y )
& ! [X: $i] :
( ( p7 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p6 @ Y )
& ! [X: $i] :
( ( p6 @ X )
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& ( p6 @ Y ) )
| ( p7 @ Y )
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| ~ ( ! [Y: $i] :
( ~ ( ( p6 @ Y )
& ! [X: $i] :
( ( p6 @ X )
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& ( p6 @ Y ) )
| ( p7 @ Y )
| ! [X: $i] :
( ( p6 @ X )
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& ! [Y: $i] :
( ( p7 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p6 @ X )
& ! [Y: $i] :
( ( p6 @ Y )
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& ( p6 @ X ) )
| ( p7 @ X )
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| ( p6 @ Y )
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& ! [X: $i] :
( ( p7 @ X )
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& ! [Y: $i] :
( ~ ( ( p6 @ Y )
& ! [X: $i] :
( ( p6 @ X )
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| ( p7 @ Y )
| ( p6 @ Y )
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& ! [X: $i] :
( ( p7 @ X )
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| ~ ( ! [Y: $i] :
( ( p5 @ Y )
| ~ ( ( p6 @ Y )
& ! [X: $i] :
( ( p6 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p5 @ Y )
& ! [X: $i] :
( ( p5 @ X )
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& ( p5 @ Y ) )
| ( p6 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p5 @ Y )
& ! [X: $i] :
( ( p5 @ X )
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& ( p5 @ Y ) )
| ( p6 @ Y )
| ! [X: $i] :
( ( p5 @ X )
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& ! [Y: $i] :
( ( p6 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
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& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p5 @ X )
& ! [Y: $i] :
( ( p5 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p5 @ X ) )
| ( p6 @ X )
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| ( p5 @ Y )
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& ! [X: $i] :
( ( p6 @ X )
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& ! [Y: $i] :
( ~ ( ( p5 @ Y )
& ! [X: $i] :
( ( p5 @ X )
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| ( p6 @ Y )
| ( p5 @ Y )
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& ! [X: $i] :
( ( p6 @ X )
| ~ ( r1 @ Y @ X ) ) )
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| ~ ( ! [Y: $i] :
( ( p4 @ Y )
| ~ ( ( p5 @ Y )
& ! [X: $i] :
( ( p5 @ X )
| ~ ( r1 @ Y @ X ) ) )
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| ! [Y: $i] :
( ~ ( ( p4 @ Y )
& ! [X: $i] :
( ( p4 @ X )
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& ( p4 @ Y ) )
| ( p5 @ Y )
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( ~ ( ( p4 @ Y )
& ! [X: $i] :
( ( p4 @ X )
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& ( p4 @ Y ) )
| ( p5 @ Y )
| ! [X: $i] :
( ( p4 @ X )
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& ! [Y: $i] :
( ( p5 @ Y )
| ~ ( r1 @ X @ Y ) ) )
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& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p4 @ X )
& ! [Y: $i] :
( ( p4 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p4 @ X ) )
| ( p5 @ X )
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| ( p4 @ Y )
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& ! [X: $i] :
( ( p5 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p4 @ Y )
& ! [X: $i] :
( ( p4 @ X )
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& ( p4 @ Y ) )
| ( p5 @ Y )
| ( p4 @ Y )
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& ! [X: $i] :
( ( p5 @ X )
| ~ ( r1 @ Y @ X ) ) )
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| ~ ( ! [Y: $i] :
( ( p3 @ Y )
| ~ ( ( p4 @ Y )
& ! [X: $i] :
( ( p4 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p3 @ Y )
& ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p3 @ Y ) )
| ( p4 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p3 @ Y )
& ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p3 @ Y ) )
| ( p4 @ Y )
| ! [X: $i] :
( ( p3 @ X )
| ~ ( ( p4 @ X )
& ! [Y: $i] :
( ( p4 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p3 @ X )
& ! [Y: $i] :
( ( p3 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p3 @ X ) )
| ( p4 @ X )
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| ( p3 @ Y )
| ~ ( ( p4 @ Y )
& ! [X: $i] :
( ( p4 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p3 @ Y )
& ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p3 @ Y ) )
| ( p4 @ Y )
| ( p3 @ Y )
| ~ ( ( p4 @ Y )
& ! [X: $i] :
( ( p4 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p2 @ Y )
| ~ ( ( p3 @ Y )
& ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p2 @ Y )
& ! [X: $i] :
( ( p2 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p2 @ Y ) )
| ( p3 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p2 @ Y )
& ! [X: $i] :
( ( p2 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p2 @ Y ) )
| ( p3 @ Y )
| ! [X: $i] :
( ( p2 @ X )
| ~ ( ( p3 @ X )
& ! [Y: $i] :
( ( p3 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p2 @ X )
& ! [Y: $i] :
( ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p2 @ X ) )
| ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p2 @ Y )
| ~ ( ( p3 @ Y )
& ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p2 @ Y )
& ! [X: $i] :
( ( p2 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p2 @ Y ) )
| ( p3 @ Y )
| ( p2 @ Y )
| ~ ( ( p3 @ Y )
& ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p1 @ Y )
| ~ ( ( p2 @ Y )
& ! [X: $i] :
( ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p1 @ Y )
& ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p1 @ Y ) )
| ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p1 @ Y )
& ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p1 @ Y ) )
| ( p2 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( ( p2 @ X )
& ! [Y: $i] :
( ( p2 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p1 @ X )
& ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p1 @ X ) )
| ( p2 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y )
| ~ ( ( p2 @ Y )
& ! [X: $i] :
( ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p1 @ Y )
& ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p1 @ Y ) )
| ( p2 @ Y )
| ( p1 @ Y )
| ~ ( ( p2 @ Y )
& ! [X: $i] :
( ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [X: $i] :
~ ( ~ ( ! [Y: $i] :
( ( p20 @ Y )
| ~ ( ( p21 @ Y )
& ! [X: $i] :
( ( p21 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p20 @ Y )
& ! [X: $i] :
( ( p20 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p20 @ Y ) )
| ( p21 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p20 @ Y )
& ! [X: $i] :
( ( p20 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p20 @ Y ) )
| ( p21 @ Y )
| ! [X: $i] :
( ( p20 @ X )
| ~ ( ( p21 @ X )
& ! [Y: $i] :
( ( p21 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p20 @ X )
& ! [Y: $i] :
( ( p20 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p20 @ X ) )
| ( p21 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p20 @ Y )
| ~ ( ( p21 @ Y )
& ! [X: $i] :
( ( p21 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p20 @ Y )
& ! [X: $i] :
( ( p20 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p20 @ Y ) )
| ( p21 @ Y )
| ( p20 @ Y )
| ~ ( ( p21 @ Y )
& ! [X: $i] :
( ( p21 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p19 @ Y )
| ~ ( ( p20 @ Y )
& ! [X: $i] :
( ( p20 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p19 @ Y )
& ! [X: $i] :
( ( p19 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p19 @ Y ) )
| ( p20 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p19 @ Y )
& ! [X: $i] :
( ( p19 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p19 @ Y ) )
| ( p20 @ Y )
| ! [X: $i] :
( ( p19 @ X )
| ~ ( ( p20 @ X )
& ! [Y: $i] :
( ( p20 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p19 @ X )
& ! [Y: $i] :
( ( p19 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p19 @ X ) )
| ( p20 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p19 @ Y )
| ~ ( ( p20 @ Y )
& ! [X: $i] :
( ( p20 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p19 @ Y )
& ! [X: $i] :
( ( p19 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p19 @ Y ) )
| ( p20 @ Y )
| ( p19 @ Y )
| ~ ( ( p20 @ Y )
& ! [X: $i] :
( ( p20 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p18 @ Y )
| ~ ( ( p19 @ Y )
& ! [X: $i] :
( ( p19 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p18 @ Y )
& ! [X: $i] :
( ( p18 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p18 @ Y ) )
| ( p19 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p18 @ Y )
& ! [X: $i] :
( ( p18 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p18 @ Y ) )
| ( p19 @ Y )
| ! [X: $i] :
( ( p18 @ X )
| ~ ( ( p19 @ X )
& ! [Y: $i] :
( ( p19 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p18 @ X )
& ! [Y: $i] :
( ( p18 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p18 @ X ) )
| ( p19 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p18 @ Y )
| ~ ( ( p19 @ Y )
& ! [X: $i] :
( ( p19 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p18 @ Y )
& ! [X: $i] :
( ( p18 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p18 @ Y ) )
| ( p19 @ Y )
| ( p18 @ Y )
| ~ ( ( p19 @ Y )
& ! [X: $i] :
( ( p19 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p17 @ Y )
| ~ ( ( p18 @ Y )
& ! [X: $i] :
( ( p18 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p17 @ Y )
& ! [X: $i] :
( ( p17 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p17 @ Y ) )
| ( p18 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p17 @ Y )
& ! [X: $i] :
( ( p17 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p17 @ Y ) )
| ( p18 @ Y )
| ! [X: $i] :
( ( p17 @ X )
| ~ ( ( p18 @ X )
& ! [Y: $i] :
( ( p18 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
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| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p4 @ Y )
| ~ ( ( p5 @ Y )
& ! [X: $i] :
( ( p5 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p4 @ Y )
& ! [X: $i] :
( ( p4 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p4 @ Y ) )
| ( p5 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p4 @ Y )
& ! [X: $i] :
( ( p4 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p4 @ Y ) )
| ( p5 @ Y )
| ! [X: $i] :
( ( p4 @ X )
| ~ ( ( p5 @ X )
& ! [Y: $i] :
( ( p5 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p4 @ X )
& ! [Y: $i] :
( ( p4 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p4 @ X ) )
| ( p5 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p4 @ Y )
| ~ ( ( p5 @ Y )
& ! [X: $i] :
( ( p5 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p4 @ Y )
& ! [X: $i] :
( ( p4 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p4 @ Y ) )
| ( p5 @ Y )
| ( p4 @ Y )
| ~ ( ( p5 @ Y )
& ! [X: $i] :
( ( p5 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p3 @ Y )
| ~ ( ( p4 @ Y )
& ! [X: $i] :
( ( p4 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p3 @ Y )
& ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p3 @ Y ) )
| ( p4 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p3 @ Y )
& ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p3 @ Y ) )
| ( p4 @ Y )
| ! [X: $i] :
( ( p3 @ X )
| ~ ( ( p4 @ X )
& ! [Y: $i] :
( ( p4 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p3 @ X )
& ! [Y: $i] :
( ( p3 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p3 @ X ) )
| ( p4 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p3 @ Y )
| ~ ( ( p4 @ Y )
& ! [X: $i] :
( ( p4 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p3 @ Y )
& ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p3 @ Y ) )
| ( p4 @ Y )
| ( p3 @ Y )
| ~ ( ( p4 @ Y )
& ! [X: $i] :
( ( p4 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p2 @ Y )
| ~ ( ( p3 @ Y )
& ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p2 @ Y )
& ! [X: $i] :
( ( p2 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p2 @ Y ) )
| ( p3 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p2 @ Y )
& ! [X: $i] :
( ( p2 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p2 @ Y ) )
| ( p3 @ Y )
| ! [X: $i] :
( ( p2 @ X )
| ~ ( ( p3 @ X )
& ! [Y: $i] :
( ( p3 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p2 @ X )
& ! [Y: $i] :
( ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p2 @ X ) )
| ( p3 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p2 @ Y )
| ~ ( ( p3 @ Y )
& ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p2 @ Y )
& ! [X: $i] :
( ( p2 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p2 @ Y ) )
| ( p3 @ Y )
| ( p2 @ Y )
| ~ ( ( p3 @ Y )
& ! [X: $i] :
( ( p3 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) )
| ~ ( ! [Y: $i] :
( ( p1 @ Y )
| ~ ( ( p2 @ Y )
& ! [X: $i] :
( ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( p1 @ Y )
& ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p1 @ Y ) )
| ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ~ ( ( p1 @ Y )
& ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p1 @ Y ) )
| ( p2 @ Y )
| ! [X: $i] :
( ( p1 @ X )
| ~ ( ( p2 @ X )
& ! [Y: $i] :
( ( p2 @ Y )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ! [X: $i] :
( ~ ( ( p1 @ X )
& ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
& ( p1 @ X ) )
| ( p2 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y )
| ~ ( ( p2 @ Y )
& ! [X: $i] :
( ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
& ! [Y: $i] :
( ~ ( ( p1 @ Y )
& ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
& ( p1 @ Y ) )
| ( p2 @ Y )
| ( p1 @ Y )
| ~ ( ( p2 @ Y )
& ! [X: $i] :
( ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) ) ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl15554,plain,
~ ( p20 @ sk__100 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15552,plain,
p20 @ sk__100,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51848,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl15554,zip_derived_cl15552]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL644+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vzm4537bcw true
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 09:54:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Running portfolio for 300 s
% 0.09/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Number of cores: 8
% 0.09/0.37 % Python version: Python 3.12.3
% 0.09/0.37 % Running in FO mode
% 0.43/0.64 % Total configuration time : 435
% 0.43/0.64 % Estimated wc time : 1092
% 0.43/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.46/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 61.59/9.48 % Solved by fo/fo6_bce.sh.
% 61.59/9.48 % BCE start: 51848
% 61.59/9.48 % BCE eliminated: 0
% 61.59/9.48 % PE start: 51848
% 61.59/9.48 logic: neq
% 61.59/9.48 % PE eliminated: 0
% 61.59/9.48 % done 2 iterations in 8.723s
% 61.59/9.48 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 61.59/9.48 % SZS output start Refutation
% See solution above
% 61.59/9.49
% 61.59/9.49
% 61.59/9.49 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 61.59/9.49 % Terminating...
% 9.46/9.54 % Runner terminated.
% 9.46/9.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------