%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL686+1.015 : 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.TDhkpbZLyf true
% Computer : n027.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 01:37:02 PM UTC 2026
% Result : Theorem 3.02s 1.08s
% Output : Refutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 28 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 924 ( 0 equ; 0 cnn)
% Maximal formula atoms : 439 ( 33 avg)
% Number of connectives : 2807 ( 734 ~; 552 |; 344 &;1177 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 145 ( 15 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 50 ( 49 usr; 2 con; 0-2 aty)
% Number of variables : 198 ( 0 ^; 196 !; 2 ?; 198 :)
% Comments :
%------------------------------------------------------------------------------
thf(p1_type,type,
p1: $i > $o ).
thf(p34_type,type,
p34: $i > $o ).
thf(p14_type,type,
p14: $i > $o ).
thf(p8_type,type,
p8: $i > $o ).
thf(p35_type,type,
p35: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p21_type,type,
p21: $i > $o ).
thf(p9_type,type,
p9: $i > $o ).
thf(p42_type,type,
p42: $i > $o ).
thf(p29_type,type,
p29: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(p36_type,type,
p36: $i > $o ).
thf(p24_type,type,
p24: $i > $o ).
thf(p27_type,type,
p27: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p15_type,type,
p15: $i > $o ).
thf(p40_type,type,
p40: $i > $o ).
thf(p28_type,type,
p28: $i > $o ).
thf(p7_type,type,
p7: $i > $o ).
thf(p26_type,type,
p26: $i > $o ).
thf(sk__48_type,type,
sk__48: $i > $i ).
thf(p45_type,type,
p45: $i > $o ).
thf(p41_type,type,
p41: $i > $o ).
thf(p31_type,type,
p31: $i > $o ).
thf(p13_type,type,
p13: $i > $o ).
thf(p23_type,type,
p23: $i > $o ).
thf(p25_type,type,
p25: $i > $o ).
thf(p39_type,type,
p39: $i > $o ).
thf(p38_type,type,
p38: $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(p43_type,type,
p43: $i > $o ).
thf(p17_type,type,
p17: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p30_type,type,
p30: $i > $o ).
thf(p37_type,type,
p37: $i > $o ).
thf(p44_type,type,
p44: $i > $o ).
thf(p33_type,type,
p33: $i > $o ).
thf(p16_type,type,
p16: $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(p22_type,type,
p22: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(p10_type,type,
p10: $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(p20_type,type,
p20: $i > $o ).
thf(p19_type,type,
p19: $i > $o ).
thf(p12_type,type,
p12: $i > $o ).
thf(p32_type,type,
p32: $i > $o ).
thf(p18_type,type,
p18: $i > $o ).
thf(main,conjecture,
~ ? [X: $i] :
~ ( ! [Y: $i] :
( ! [X: $i] :
( ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( p45 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p3 @ X )
& ~ ( p2 @ X ) )
| ( ~ ( p3 @ X )
& ( p2 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p4 @ Y )
& ~ ( p3 @ Y ) )
| ( ~ ( p4 @ Y )
& ( p3 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p5 @ X )
& ~ ( p4 @ X ) )
| ( ~ ( p5 @ X )
& ( p4 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p6 @ Y )
& ~ ( p5 @ Y ) )
| ( ~ ( p6 @ Y )
& ( p5 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p7 @ X )
& ~ ( p6 @ X ) )
| ( ~ ( p7 @ X )
& ( p6 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p8 @ Y )
& ~ ( p7 @ Y ) )
| ( ~ ( p8 @ Y )
& ( p7 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p9 @ X )
& ~ ( p8 @ X ) )
| ( ~ ( p9 @ X )
& ( p8 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p10 @ Y )
& ~ ( p9 @ Y ) )
| ( ~ ( p10 @ Y )
& ( p9 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p11 @ X )
& ~ ( p10 @ X ) )
| ( ~ ( p11 @ X )
& ( p10 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p12 @ Y )
& ~ ( p11 @ Y ) )
| ( ~ ( p12 @ Y )
& ( p11 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p13 @ X )
& ~ ( p12 @ X ) )
| ( ~ ( p13 @ X )
& ( p12 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p14 @ Y )
& ~ ( p13 @ Y ) )
| ( ~ ( p14 @ Y )
& ( p13 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p15 @ X )
& ~ ( p14 @ X ) )
| ( ~ ( p15 @ X )
& ( p14 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p16 @ Y )
& ~ ( p15 @ Y ) )
| ( ~ ( p16 @ Y )
& ( p15 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p17 @ X )
& ~ ( p16 @ X ) )
| ( ~ ( p17 @ X )
& ( p16 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p18 @ Y )
& ~ ( p17 @ Y ) )
| ( ~ ( p18 @ Y )
& ( p17 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p19 @ X )
& ~ ( p18 @ X ) )
| ( ~ ( p19 @ X )
& ( p18 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p20 @ Y )
& ~ ( p19 @ Y ) )
| ( ~ ( p20 @ Y )
& ( p19 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p21 @ X )
& ~ ( p20 @ X ) )
| ( ~ ( p21 @ X )
& ( p20 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p22 @ Y )
& ~ ( p21 @ Y ) )
| ( ~ ( p22 @ Y )
& ( p21 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p23 @ X )
& ~ ( p22 @ X ) )
| ( ~ ( p23 @ X )
& ( p22 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p24 @ Y )
& ~ ( p23 @ Y ) )
| ( ~ ( p24 @ Y )
& ( p23 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p25 @ X )
& ~ ( p24 @ X ) )
| ( ~ ( p25 @ X )
& ( p24 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p26 @ Y )
& ~ ( p25 @ Y ) )
| ( ~ ( p26 @ Y )
& ( p25 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p27 @ X )
& ~ ( p26 @ X ) )
| ( ~ ( p27 @ X )
& ( p26 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p28 @ Y )
& ~ ( p27 @ Y ) )
| ( ~ ( p28 @ Y )
& ( p27 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p29 @ X )
& ~ ( p28 @ X ) )
| ( ~ ( p29 @ X )
& ( p28 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p30 @ Y )
& ~ ( p29 @ Y ) )
| ( ~ ( p30 @ Y )
& ( p29 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p31 @ X )
& ~ ( p30 @ X ) )
| ( ~ ( p31 @ X )
& ( p30 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p32 @ Y )
& ~ ( p31 @ Y ) )
| ( ~ ( p32 @ Y )
& ( p31 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p33 @ X )
& ~ ( p32 @ X ) )
| ( ~ ( p33 @ X )
& ( p32 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p34 @ Y )
& ~ ( p33 @ Y ) )
| ( ~ ( p34 @ Y )
& ( p33 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p35 @ X )
& ~ ( p34 @ X ) )
| ( ~ ( p35 @ X )
& ( p34 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p36 @ Y )
& ~ ( p35 @ Y ) )
| ( ~ ( p36 @ Y )
& ( p35 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p37 @ X )
& ~ ( p36 @ X ) )
| ( ~ ( p37 @ X )
& ( p36 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p38 @ Y )
& ~ ( p37 @ Y ) )
| ( ~ ( p38 @ Y )
& ( p37 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p39 @ X )
& ~ ( p38 @ X ) )
| ( ~ ( p39 @ X )
& ( p38 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p40 @ Y )
& ~ ( p39 @ Y ) )
| ( ~ ( p40 @ Y )
& ( p39 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p41 @ X )
& ~ ( p40 @ X ) )
| ( ~ ( p41 @ X )
& ( p40 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p42 @ Y )
& ~ ( p41 @ Y ) )
| ( ~ ( p42 @ Y )
& ( p41 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p43 @ X )
& ~ ( p42 @ X ) )
| ( ~ ( p43 @ X )
& ( p42 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p44 @ Y )
& ~ ( p43 @ Y ) )
| ( ~ ( p44 @ Y )
& ( p43 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
~ ( r1 @ X @ Y )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ( ( p2 @ Y )
& ~ ( p1 @ Y ) )
| ( ~ ( p2 @ Y )
& ( p1 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ( p45 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ( ( p1 @ Y )
& ( p2 @ Y ) )
| ( ~ ( p2 @ Y )
& ~ ( p1 @ Y ) )
| ( ( p2 @ Y )
& ( p3 @ Y ) )
| ( ~ ( p3 @ Y )
& ~ ( p2 @ Y ) )
| ( ( p3 @ Y )
& ( p4 @ Y ) )
| ( ~ ( p4 @ Y )
& ~ ( p3 @ Y ) )
| ( ( p4 @ Y )
& ( p5 @ Y ) )
| ( ~ ( p5 @ Y )
& ~ ( p4 @ Y ) )
| ( ( p5 @ Y )
& ( p6 @ Y ) )
| ( ~ ( p6 @ Y )
& ~ ( p5 @ Y ) )
| ( ( p6 @ Y )
& ( p7 @ Y ) )
| ( ~ ( p7 @ Y )
& ~ ( p6 @ Y ) )
| ( ( p7 @ Y )
& ( p8 @ Y ) )
| ( ~ ( p8 @ Y )
& ~ ( p7 @ Y ) )
| ( ( p8 @ Y )
& ( p9 @ Y ) )
| ( ~ ( p9 @ Y )
& ~ ( p8 @ Y ) )
| ( ( p9 @ Y )
& ( p10 @ Y ) )
| ( ~ ( p10 @ Y )
& ~ ( p9 @ Y ) )
| ( ( p10 @ Y )
& ( p11 @ Y ) )
| ( ~ ( p11 @ Y )
& ~ ( p10 @ Y ) )
| ( ( p11 @ Y )
& ( p12 @ Y ) )
| ( ~ ( p12 @ Y )
& ~ ( p11 @ Y ) )
| ( ( p12 @ Y )
& ( p13 @ Y ) )
| ( ~ ( p13 @ Y )
& ~ ( p12 @ Y ) )
| ( ( p13 @ Y )
& ( p14 @ Y ) )
| ( ~ ( p14 @ Y )
& ~ ( p13 @ Y ) )
| ( ( p14 @ Y )
& ( p15 @ Y ) )
| ( ~ ( p15 @ Y )
& ~ ( p14 @ Y ) )
| ( ( p15 @ Y )
& ( p16 @ Y ) )
| ( ~ ( p16 @ Y )
& ~ ( p15 @ Y ) )
| ( ( p16 @ Y )
& ( p17 @ Y ) )
| ( ~ ( p17 @ Y )
& ~ ( p16 @ Y ) )
| ( ( p17 @ Y )
& ( p18 @ Y ) )
| ( ~ ( p18 @ Y )
& ~ ( p17 @ Y ) )
| ( ( p18 @ Y )
& ( p19 @ Y ) )
| ( ~ ( p19 @ Y )
& ~ ( p18 @ Y ) )
| ( ( p19 @ Y )
& ( p20 @ Y ) )
| ( ~ ( p20 @ Y )
& ~ ( p19 @ Y ) )
| ( ( p20 @ Y )
& ( p21 @ Y ) )
| ( ~ ( p21 @ Y )
& ~ ( p20 @ Y ) )
| ( ( p21 @ Y )
& ( p22 @ Y ) )
| ( ~ ( p22 @ Y )
& ~ ( p21 @ Y ) )
| ( ( p22 @ Y )
& ( p23 @ Y ) )
| ( ~ ( p23 @ Y )
& ~ ( p22 @ Y ) )
| ( ( p23 @ Y )
& ( p24 @ Y ) )
| ( ~ ( p24 @ Y )
& ~ ( p23 @ Y ) )
| ( ( p24 @ Y )
& ( p25 @ Y ) )
| ( ~ ( p25 @ Y )
& ~ ( p24 @ Y ) )
| ( ( p25 @ Y )
& ( p26 @ Y ) )
| ( ~ ( p26 @ Y )
& ~ ( p25 @ Y ) )
| ( ( p26 @ Y )
& ( p27 @ Y ) )
| ( ~ ( p27 @ Y )
& ~ ( p26 @ Y ) )
| ( ( p27 @ Y )
& ( p28 @ Y ) )
| ( ~ ( p28 @ Y )
& ~ ( p27 @ Y ) )
| ( ( p28 @ Y )
& ( p29 @ Y ) )
| ( ~ ( p29 @ Y )
& ~ ( p28 @ Y ) )
| ( ( p29 @ Y )
& ( p30 @ Y ) )
| ( ~ ( p30 @ Y )
& ~ ( p29 @ Y ) )
| ( ( p30 @ Y )
& ( p31 @ Y ) )
| ( ~ ( p31 @ Y )
& ~ ( p30 @ Y ) )
| ( ( p31 @ Y )
& ( p32 @ Y ) )
| ( ~ ( p32 @ Y )
& ~ ( p31 @ Y ) )
| ( ( p32 @ Y )
& ( p33 @ Y ) )
| ( ~ ( p33 @ Y )
& ~ ( p32 @ Y ) )
| ( ( p33 @ Y )
& ( p34 @ Y ) )
| ( ~ ( p34 @ Y )
& ~ ( p33 @ Y ) )
| ( ( p34 @ Y )
& ( p35 @ Y ) )
| ( ~ ( p35 @ Y )
& ~ ( p34 @ Y ) )
| ( ( p35 @ Y )
& ( p36 @ Y ) )
| ( ~ ( p36 @ Y )
& ~ ( p35 @ Y ) )
| ( ( p36 @ Y )
& ( p37 @ Y ) )
| ( ~ ( p37 @ Y )
& ~ ( p36 @ Y ) )
| ( ( p37 @ Y )
& ( p38 @ Y ) )
| ( ~ ( p38 @ Y )
& ~ ( p37 @ Y ) )
| ( ( p38 @ Y )
& ( p39 @ Y ) )
| ( ~ ( p39 @ Y )
& ~ ( p38 @ Y ) )
| ( ( p39 @ Y )
& ( p40 @ Y ) )
| ( ~ ( p40 @ Y )
& ~ ( p39 @ Y ) )
| ( ( p40 @ Y )
& ( p41 @ Y ) )
| ( ~ ( p41 @ Y )
& ~ ( p40 @ Y ) )
| ( ( p41 @ Y )
& ( p42 @ Y ) )
| ( ~ ( p42 @ Y )
& ~ ( p41 @ Y ) )
| ( ( p42 @ Y )
& ( p43 @ Y ) )
| ( ~ ( p43 @ Y )
& ~ ( p42 @ Y ) )
| ( ( p43 @ Y )
& ( p44 @ Y ) )
| ( ~ ( p44 @ Y )
& ~ ( p43 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [X: $i] :
~ ( ! [Y: $i] :
( ! [X: $i] :
( ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( p45 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p3 @ X )
& ~ ( p2 @ X ) )
| ( ~ ( p3 @ X )
& ( p2 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p4 @ Y )
& ~ ( p3 @ Y ) )
| ( ~ ( p4 @ Y )
& ( p3 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p5 @ X )
& ~ ( p4 @ X ) )
| ( ~ ( p5 @ X )
& ( p4 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p6 @ Y )
& ~ ( p5 @ Y ) )
| ( ~ ( p6 @ Y )
& ( p5 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p7 @ X )
& ~ ( p6 @ X ) )
| ( ~ ( p7 @ X )
& ( p6 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p8 @ Y )
& ~ ( p7 @ Y ) )
| ( ~ ( p8 @ Y )
& ( p7 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p9 @ X )
& ~ ( p8 @ X ) )
| ( ~ ( p9 @ X )
& ( p8 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p10 @ Y )
& ~ ( p9 @ Y ) )
| ( ~ ( p10 @ Y )
& ( p9 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p11 @ X )
& ~ ( p10 @ X ) )
| ( ~ ( p11 @ X )
& ( p10 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p12 @ Y )
& ~ ( p11 @ Y ) )
| ( ~ ( p12 @ Y )
& ( p11 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p13 @ X )
& ~ ( p12 @ X ) )
| ( ~ ( p13 @ X )
& ( p12 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p14 @ Y )
& ~ ( p13 @ Y ) )
| ( ~ ( p14 @ Y )
& ( p13 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p15 @ X )
& ~ ( p14 @ X ) )
| ( ~ ( p15 @ X )
& ( p14 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p16 @ Y )
& ~ ( p15 @ Y ) )
| ( ~ ( p16 @ Y )
& ( p15 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p17 @ X )
& ~ ( p16 @ X ) )
| ( ~ ( p17 @ X )
& ( p16 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p18 @ Y )
& ~ ( p17 @ Y ) )
| ( ~ ( p18 @ Y )
& ( p17 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p19 @ X )
& ~ ( p18 @ X ) )
| ( ~ ( p19 @ X )
& ( p18 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p20 @ Y )
& ~ ( p19 @ Y ) )
| ( ~ ( p20 @ Y )
& ( p19 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p21 @ X )
& ~ ( p20 @ X ) )
| ( ~ ( p21 @ X )
& ( p20 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p22 @ Y )
& ~ ( p21 @ Y ) )
| ( ~ ( p22 @ Y )
& ( p21 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p23 @ X )
& ~ ( p22 @ X ) )
| ( ~ ( p23 @ X )
& ( p22 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p24 @ Y )
& ~ ( p23 @ Y ) )
| ( ~ ( p24 @ Y )
& ( p23 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p25 @ X )
& ~ ( p24 @ X ) )
| ( ~ ( p25 @ X )
& ( p24 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p26 @ Y )
& ~ ( p25 @ Y ) )
| ( ~ ( p26 @ Y )
& ( p25 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p27 @ X )
& ~ ( p26 @ X ) )
| ( ~ ( p27 @ X )
& ( p26 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p28 @ Y )
& ~ ( p27 @ Y ) )
| ( ~ ( p28 @ Y )
& ( p27 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p29 @ X )
& ~ ( p28 @ X ) )
| ( ~ ( p29 @ X )
& ( p28 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p30 @ Y )
& ~ ( p29 @ Y ) )
| ( ~ ( p30 @ Y )
& ( p29 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p31 @ X )
& ~ ( p30 @ X ) )
| ( ~ ( p31 @ X )
& ( p30 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p32 @ Y )
& ~ ( p31 @ Y ) )
| ( ~ ( p32 @ Y )
& ( p31 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p33 @ X )
& ~ ( p32 @ X ) )
| ( ~ ( p33 @ X )
& ( p32 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p34 @ Y )
& ~ ( p33 @ Y ) )
| ( ~ ( p34 @ Y )
& ( p33 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p35 @ X )
& ~ ( p34 @ X ) )
| ( ~ ( p35 @ X )
& ( p34 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p36 @ Y )
& ~ ( p35 @ Y ) )
| ( ~ ( p36 @ Y )
& ( p35 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p37 @ X )
& ~ ( p36 @ X ) )
| ( ~ ( p37 @ X )
& ( p36 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p38 @ Y )
& ~ ( p37 @ Y ) )
| ( ~ ( p38 @ Y )
& ( p37 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p39 @ X )
& ~ ( p38 @ X ) )
| ( ~ ( p39 @ X )
& ( p38 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p40 @ Y )
& ~ ( p39 @ Y ) )
| ( ~ ( p40 @ Y )
& ( p39 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p41 @ X )
& ~ ( p40 @ X ) )
| ( ~ ( p41 @ X )
& ( p40 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p42 @ Y )
& ~ ( p41 @ Y ) )
| ( ~ ( p42 @ Y )
& ( p41 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p43 @ X )
& ~ ( p42 @ X ) )
| ( ~ ( p43 @ X )
& ( p42 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p44 @ Y )
& ~ ( p43 @ Y ) )
| ( ~ ( p44 @ Y )
& ( p43 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
~ ( r1 @ X @ Y )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ( ( p2 @ Y )
& ~ ( p1 @ Y ) )
| ( ~ ( p2 @ Y )
& ( p1 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ( p45 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ( ( p1 @ Y )
& ( p2 @ Y ) )
| ( ~ ( p2 @ Y )
& ~ ( p1 @ Y ) )
| ( ( p2 @ Y )
& ( p3 @ Y ) )
| ( ~ ( p3 @ Y )
& ~ ( p2 @ Y ) )
| ( ( p3 @ Y )
& ( p4 @ Y ) )
| ( ~ ( p4 @ Y )
& ~ ( p3 @ Y ) )
| ( ( p4 @ Y )
& ( p5 @ Y ) )
| ( ~ ( p5 @ Y )
& ~ ( p4 @ Y ) )
| ( ( p5 @ Y )
& ( p6 @ Y ) )
| ( ~ ( p6 @ Y )
& ~ ( p5 @ Y ) )
| ( ( p6 @ Y )
& ( p7 @ Y ) )
| ( ~ ( p7 @ Y )
& ~ ( p6 @ Y ) )
| ( ( p7 @ Y )
& ( p8 @ Y ) )
| ( ~ ( p8 @ Y )
& ~ ( p7 @ Y ) )
| ( ( p8 @ Y )
& ( p9 @ Y ) )
| ( ~ ( p9 @ Y )
& ~ ( p8 @ Y ) )
| ( ( p9 @ Y )
& ( p10 @ Y ) )
| ( ~ ( p10 @ Y )
& ~ ( p9 @ Y ) )
| ( ( p10 @ Y )
& ( p11 @ Y ) )
| ( ~ ( p11 @ Y )
& ~ ( p10 @ Y ) )
| ( ( p11 @ Y )
& ( p12 @ Y ) )
| ( ~ ( p12 @ Y )
& ~ ( p11 @ Y ) )
| ( ( p12 @ Y )
& ( p13 @ Y ) )
| ( ~ ( p13 @ Y )
& ~ ( p12 @ Y ) )
| ( ( p13 @ Y )
& ( p14 @ Y ) )
| ( ~ ( p14 @ Y )
& ~ ( p13 @ Y ) )
| ( ( p14 @ Y )
& ( p15 @ Y ) )
| ( ~ ( p15 @ Y )
& ~ ( p14 @ Y ) )
| ( ( p15 @ Y )
& ( p16 @ Y ) )
| ( ~ ( p16 @ Y )
& ~ ( p15 @ Y ) )
| ( ( p16 @ Y )
& ( p17 @ Y ) )
| ( ~ ( p17 @ Y )
& ~ ( p16 @ Y ) )
| ( ( p17 @ Y )
& ( p18 @ Y ) )
| ( ~ ( p18 @ Y )
& ~ ( p17 @ Y ) )
| ( ( p18 @ Y )
& ( p19 @ Y ) )
| ( ~ ( p19 @ Y )
& ~ ( p18 @ Y ) )
| ( ( p19 @ Y )
& ( p20 @ Y ) )
| ( ~ ( p20 @ Y )
& ~ ( p19 @ Y ) )
| ( ( p20 @ Y )
& ( p21 @ Y ) )
| ( ~ ( p21 @ Y )
& ~ ( p20 @ Y ) )
| ( ( p21 @ Y )
& ( p22 @ Y ) )
| ( ~ ( p22 @ Y )
& ~ ( p21 @ Y ) )
| ( ( p22 @ Y )
& ( p23 @ Y ) )
| ( ~ ( p23 @ Y )
& ~ ( p22 @ Y ) )
| ( ( p23 @ Y )
& ( p24 @ Y ) )
| ( ~ ( p24 @ Y )
& ~ ( p23 @ Y ) )
| ( ( p24 @ Y )
& ( p25 @ Y ) )
| ( ~ ( p25 @ Y )
& ~ ( p24 @ Y ) )
| ( ( p25 @ Y )
& ( p26 @ Y ) )
| ( ~ ( p26 @ Y )
& ~ ( p25 @ Y ) )
| ( ( p26 @ Y )
& ( p27 @ Y ) )
| ( ~ ( p27 @ Y )
& ~ ( p26 @ Y ) )
| ( ( p27 @ Y )
& ( p28 @ Y ) )
| ( ~ ( p28 @ Y )
& ~ ( p27 @ Y ) )
| ( ( p28 @ Y )
& ( p29 @ Y ) )
| ( ~ ( p29 @ Y )
& ~ ( p28 @ Y ) )
| ( ( p29 @ Y )
& ( p30 @ Y ) )
| ( ~ ( p30 @ Y )
& ~ ( p29 @ Y ) )
| ( ( p30 @ Y )
& ( p31 @ Y ) )
| ( ~ ( p31 @ Y )
& ~ ( p30 @ Y ) )
| ( ( p31 @ Y )
& ( p32 @ Y ) )
| ( ~ ( p32 @ Y )
& ~ ( p31 @ Y ) )
| ( ( p32 @ Y )
& ( p33 @ Y ) )
| ( ~ ( p33 @ Y )
& ~ ( p32 @ Y ) )
| ( ( p33 @ Y )
& ( p34 @ Y ) )
| ( ~ ( p34 @ Y )
& ~ ( p33 @ Y ) )
| ( ( p34 @ Y )
& ( p35 @ Y ) )
| ( ~ ( p35 @ Y )
& ~ ( p34 @ Y ) )
| ( ( p35 @ Y )
& ( p36 @ Y ) )
| ( ~ ( p36 @ Y )
& ~ ( p35 @ Y ) )
| ( ( p36 @ Y )
& ( p37 @ Y ) )
| ( ~ ( p37 @ Y )
& ~ ( p36 @ Y ) )
| ( ( p37 @ Y )
& ( p38 @ Y ) )
| ( ~ ( p38 @ Y )
& ~ ( p37 @ Y ) )
| ( ( p38 @ Y )
& ( p39 @ Y ) )
| ( ~ ( p39 @ Y )
& ~ ( p38 @ Y ) )
| ( ( p39 @ Y )
& ( p40 @ Y ) )
| ( ~ ( p40 @ Y )
& ~ ( p39 @ Y ) )
| ( ( p40 @ Y )
& ( p41 @ Y ) )
| ( ~ ( p41 @ Y )
& ~ ( p40 @ Y ) )
| ( ( p41 @ Y )
& ( p42 @ Y ) )
| ( ~ ( p42 @ Y )
& ~ ( p41 @ Y ) )
| ( ( p42 @ Y )
& ( p43 @ Y ) )
| ( ~ ( p43 @ Y )
& ~ ( p42 @ Y ) )
| ( ( p43 @ Y )
& ( p44 @ Y ) )
| ( ~ ( p44 @ Y )
& ~ ( p43 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl127,plain,
! [X0: $i,X42: $i] :
( ~ ( r1 @ ( sk__4 @ X0 ) @ X42 )
| ( p3 @ X42 )
| ~ ( p2 @ X42 )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(reflexivity,axiom,
! [X: $i] : ( r1 @ X @ X ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__4 @ X0 ) )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl570,plain,
r1 @ sk__3 @ ( sk__4 @ sk__3 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl133,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__48 @ X0 ) )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl587,plain,
r1 @ ( sk__4 @ sk__3 ) @ ( sk__48 @ ( sk__4 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl570,zip_derived_cl133]) ).
thf(zip_derived_cl731,plain,
( ~ ( r1 @ sk__3 @ sk__3 )
| ~ ( p2 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) )
| ( p3 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl127,zip_derived_cl587]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl735,plain,
( ~ ( p2 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) )
| ( p3 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl731,zip_derived_cl0]) ).
thf(zip_derived_cl570_002,plain,
r1 @ sk__3 @ ( sk__4 @ sk__3 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl217,plain,
! [X0: $i] :
( ~ ( p3 @ ( sk__48 @ X0 ) )
| ~ ( p2 @ ( sk__48 @ X0 ) )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl575,plain,
( ~ ( p2 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) )
| ~ ( p3 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl570,zip_derived_cl217]) ).
thf(zip_derived_cl788,plain,
~ ( p2 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl735,zip_derived_cl575]) ).
thf(zip_derived_cl216,plain,
! [X0: $i] :
( ( p2 @ ( sk__48 @ X0 ) )
| ( p3 @ ( sk__48 @ X0 ) )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl570_003,plain,
r1 @ sk__3 @ ( sk__4 @ sk__3 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl624,plain,
( ( p3 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) )
| ( p2 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl570]) ).
thf(zip_derived_cl128,plain,
! [X0: $i,X42: $i] :
( ~ ( r1 @ ( sk__4 @ X0 ) @ X42 )
| ~ ( p3 @ X42 )
| ( p2 @ X42 )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl587_004,plain,
r1 @ ( sk__4 @ sk__3 ) @ ( sk__48 @ ( sk__4 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl570,zip_derived_cl133]) ).
thf(zip_derived_cl732,plain,
( ~ ( r1 @ sk__3 @ sk__3 )
| ( p2 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) )
| ~ ( p3 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl587]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl736,plain,
( ( p2 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) )
| ~ ( p3 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl732,zip_derived_cl0]) ).
thf(zip_derived_cl788_006,plain,
~ ( p2 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl735,zip_derived_cl575]) ).
thf(zip_derived_cl1003,plain,
~ ( p3 @ ( sk__48 @ ( sk__4 @ sk__3 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl736,zip_derived_cl788]) ).
thf(zip_derived_cl1098,plain,
p2 @ ( sk__48 @ ( sk__4 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl624,zip_derived_cl1003]) ).
thf(zip_derived_cl1099,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl788,zip_derived_cl1098]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL686+1.015 : 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.TDhkpbZLyf true
% 0.08/0.35 % Computer : n027.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 4 19:19:27 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Running portfolio for 300 s
% 0.08/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Number of cores: 8
% 0.08/0.36 % Python version: Python 3.12.3
% 0.08/0.36 % Running in FO mode
% 0.45/0.64 % Total configuration time : 435
% 0.45/0.64 % Estimated wc time : 1092
% 0.45/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.77 % /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/fo13.sh running for 50s
% 0.46/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.02/1.08 % Solved by fo/fo3_bce.sh.
% 3.02/1.08 % BCE start: 225
% 3.02/1.08 % BCE eliminated: 2
% 3.02/1.08 % PE start: 223
% 3.02/1.08 logic: neq
% 3.02/1.08 % PE eliminated: -76
% 3.02/1.08 % done 330 iterations in 0.262s
% 3.02/1.08 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.02/1.08 % SZS output start Refutation
% See solution above
% 3.02/1.10
% 3.02/1.10
% 3.02/1.10 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.02/1.10 % Terminating...
% 1.73/1.15 % Runner terminated.
% 1.73/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------