TSTP Solution File: LCL674+1.020 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL674+1.020 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VOIn4eaMPt true
% Computer : n031.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 : Thu Aug 31 09:01:25 EDT 2023
% Result : Theorem 187.17s 27.33s
% Output : Refutation 187.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 55
% Syntax : Number of formulae : 185 ( 77 unt; 52 typ; 0 def)
% Number of atoms : 1124 ( 0 equ; 0 cnn)
% Maximal formula atoms : 436 ( 8 avg)
% Number of connectives : 3801 ( 903 ~; 581 |; 409 &;1907 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 80 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 52 ( 52 >; 0 *; 0 +; 0 <<)
% Number of symbols : 53 ( 52 usr; 2 con; 0-2 aty)
% Number of variables : 222 ( 0 ^; 220 !; 2 ?; 222 :)
% Comments :
%------------------------------------------------------------------------------
thf(p1_type,type,
p1: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(p4_type,type,
p4: $i > $o ).
thf(p110_type,type,
p110: $i > $o ).
thf(p107_type,type,
p107: $i > $o ).
thf(p18_type,type,
p18: $i > $o ).
thf(p16_type,type,
p16: $i > $o ).
thf(p20_type,type,
p20: $i > $o ).
thf(p111_type,type,
p111: $i > $o ).
thf(p109_type,type,
p109: $i > $o ).
thf(p114_type,type,
p114: $i > $o ).
thf(p117_type,type,
p117: $i > $o ).
thf(p105_type,type,
p105: $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(p8_type,type,
p8: $i > $o ).
thf(p118_type,type,
p118: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(p104_type,type,
p104: $i > $o ).
thf(p112_type,type,
p112: $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(p13_type,type,
p13: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(p5_type,type,
p5: $i > $o ).
thf(p119_type,type,
p119: $i > $o ).
thf(p19_type,type,
p19: $i > $o ).
thf(p100_type,type,
p100: $i > $o ).
thf(p10_type,type,
p10: $i > $o ).
thf(p116_type,type,
p116: $i > $o ).
thf(p108_type,type,
p108: $i > $o ).
thf(p103_type,type,
p103: $i > $o ).
thf(p14_type,type,
p14: $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(p121_type,type,
p121: $i > $o ).
thf(p12_type,type,
p12: $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(p113_type,type,
p113: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p102_type,type,
p102: $i > $o ).
thf(p15_type,type,
p15: $i > $o ).
thf(p101_type,type,
p101: $i > $o ).
thf(p106_type,type,
p106: $i > $o ).
thf(p9_type,type,
p9: $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(p7_type,type,
p7: $i > $o ).
thf(p17_type,type,
p17: $i > $o ).
thf(p115_type,type,
p115: $i > $o ).
thf(p21_type,type,
p21: $i > $o ).
thf(p120_type,type,
p120: $i > $o ).
thf(main,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ( p8 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ( ( ~ ( p101 @ Y )
| ( p100 @ Y ) )
& ( ~ ( p102 @ Y )
| ( p101 @ Y ) )
& ( ~ ( p103 @ Y )
| ( p102 @ Y ) )
& ( ~ ( p104 @ Y )
| ( p103 @ Y ) )
& ( ~ ( p105 @ Y )
| ( p104 @ Y ) )
& ( ~ ( p106 @ Y )
| ( p105 @ Y ) )
& ( ~ ( p107 @ Y )
| ( p106 @ Y ) )
& ( ~ ( p108 @ Y )
| ( p107 @ Y ) )
& ( ~ ( p109 @ Y )
| ( p108 @ Y ) )
& ( ~ ( p110 @ Y )
| ( p109 @ Y ) )
& ( ~ ( p111 @ Y )
| ( p110 @ Y ) )
& ( ~ ( p112 @ Y )
| ( p111 @ Y ) )
& ( ~ ( p113 @ Y )
| ( p112 @ Y ) )
& ( ~ ( p114 @ Y )
| ( p113 @ Y ) )
& ( ~ ( p115 @ Y )
| ( p114 @ Y ) )
& ( ~ ( p116 @ Y )
| ( p115 @ Y ) )
& ( ~ ( p117 @ Y )
| ( p116 @ Y ) )
& ( ~ ( p118 @ Y )
| ( p117 @ Y ) )
& ( ~ ( p119 @ Y )
| ( p118 @ Y ) )
& ( ~ ( p120 @ Y )
| ( p119 @ Y ) )
& ( ~ ( p121 @ Y )
| ( p120 @ Y ) )
& ( ~ ( p100 @ Y )
| ( ( ~ ( p1 @ Y )
| ! [X: $i] :
( ~ ( p100 @ X )
| ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p1 @ Y )
| ! [X: $i] :
( ~ ( p100 @ X )
| ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p101 @ Y )
| ( ( ~ ( p2 @ Y )
| ! [X: $i] :
( ~ ( p101 @ X )
| ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p2 @ Y )
| ! [X: $i] :
( ~ ( p101 @ X )
| ~ ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p102 @ Y )
| ( ( ~ ( p3 @ Y )
| ! [X: $i] :
( ~ ( p102 @ X )
| ( p3 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p3 @ Y )
| ! [X: $i] :
( ~ ( p102 @ X )
| ~ ( p3 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p103 @ Y )
| ( ( ~ ( p4 @ Y )
| ! [X: $i] :
( ~ ( p103 @ X )
| ( p4 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p4 @ Y )
| ! [X: $i] :
( ~ ( p103 @ X )
| ~ ( p4 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p104 @ Y )
| ( ( ~ ( p5 @ Y )
| ! [X: $i] :
( ~ ( p104 @ X )
| ( p5 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p5 @ Y )
| ! [X: $i] :
( ~ ( p104 @ X )
| ~ ( p5 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p105 @ Y )
| ( ( ~ ( p6 @ Y )
| ! [X: $i] :
( ~ ( p105 @ X )
| ( p6 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p6 @ Y )
| ! [X: $i] :
( ~ ( p105 @ X )
| ~ ( p6 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p106 @ Y )
| ( ( ~ ( p7 @ Y )
| ! [X: $i] :
( ~ ( p106 @ X )
| ( p7 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p7 @ Y )
| ! [X: $i] :
( ~ ( p106 @ X )
| ~ ( p7 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p107 @ Y )
| ( ( ~ ( p8 @ Y )
| ! [X: $i] :
( ~ ( p107 @ X )
| ( p8 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p8 @ Y )
| ! [X: $i] :
( ~ ( p107 @ X )
| ~ ( p8 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p108 @ Y )
| ( ( ~ ( p9 @ Y )
| ! [X: $i] :
( ~ ( p108 @ X )
| ( p9 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p9 @ Y )
| ! [X: $i] :
( ~ ( p108 @ X )
| ~ ( p9 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p109 @ Y )
| ( ( ~ ( p10 @ Y )
| ! [X: $i] :
( ~ ( p109 @ X )
| ( p10 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p10 @ Y )
| ! [X: $i] :
( ~ ( p109 @ X )
| ~ ( p10 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p110 @ Y )
| ( ( ~ ( p11 @ Y )
| ! [X: $i] :
( ~ ( p110 @ X )
| ( p11 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p11 @ Y )
| ! [X: $i] :
( ~ ( p110 @ X )
| ~ ( p11 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p111 @ Y )
| ( ( ~ ( p12 @ Y )
| ! [X: $i] :
( ~ ( p111 @ X )
| ( p12 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p12 @ Y )
| ! [X: $i] :
( ~ ( p111 @ X )
| ~ ( p12 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p112 @ Y )
| ( ( ~ ( p13 @ Y )
| ! [X: $i] :
( ~ ( p112 @ X )
| ( p13 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p13 @ Y )
| ! [X: $i] :
( ~ ( p112 @ X )
| ~ ( p13 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p113 @ Y )
| ( ( ~ ( p14 @ Y )
| ! [X: $i] :
( ~ ( p113 @ X )
| ( p14 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p14 @ Y )
| ! [X: $i] :
( ~ ( p113 @ X )
| ~ ( p14 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p114 @ Y )
| ( ( ~ ( p15 @ Y )
| ! [X: $i] :
( ~ ( p114 @ X )
| ( p15 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p15 @ Y )
| ! [X: $i] :
( ~ ( p114 @ X )
| ~ ( p15 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p115 @ Y )
| ( ( ~ ( p16 @ Y )
| ! [X: $i] :
( ~ ( p115 @ X )
| ( p16 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p16 @ Y )
| ! [X: $i] :
( ~ ( p115 @ X )
| ~ ( p16 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p116 @ Y )
| ( ( ~ ( p17 @ Y )
| ! [X: $i] :
( ~ ( p116 @ X )
| ( p17 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p17 @ Y )
| ! [X: $i] :
( ~ ( p116 @ X )
| ~ ( p17 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p117 @ Y )
| ( ( ~ ( p18 @ Y )
| ! [X: $i] :
( ~ ( p117 @ X )
| ( p18 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p18 @ Y )
| ! [X: $i] :
( ~ ( p117 @ X )
| ~ ( p18 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p118 @ Y )
| ( ( ~ ( p19 @ Y )
| ! [X: $i] :
( ~ ( p118 @ X )
| ( p19 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p19 @ Y )
| ! [X: $i] :
( ~ ( p118 @ X )
| ~ ( p19 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p119 @ Y )
| ( ( ~ ( p20 @ Y )
| ! [X: $i] :
( ~ ( p119 @ X )
| ( p20 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p20 @ Y )
| ! [X: $i] :
( ~ ( p119 @ X )
| ~ ( p20 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p120 @ Y )
| ( ( ~ ( p21 @ Y )
| ! [X: $i] :
( ~ ( p120 @ X )
| ( p21 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p21 @ Y )
| ! [X: $i] :
( ~ ( p120 @ X )
| ~ ( p21 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( ~ ( p101 @ Y )
& ( p100 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p3 @ X )
& ~ ( p103 @ X )
& ( p102 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p3 @ X )
& ~ ( p103 @ X )
& ( p102 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p103 @ Y )
& ( p102 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p4 @ X )
& ~ ( p104 @ X )
& ( p103 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p4 @ X )
& ~ ( p104 @ X )
& ( p103 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p104 @ Y )
& ( p103 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p5 @ X )
& ~ ( p105 @ X )
& ( p104 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p5 @ X )
& ~ ( p105 @ X )
& ( p104 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p105 @ Y )
& ( p104 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p6 @ X )
& ~ ( p106 @ X )
& ( p105 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p6 @ X )
& ~ ( p106 @ X )
& ( p105 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p106 @ Y )
& ( p105 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p7 @ X )
& ~ ( p107 @ X )
& ( p106 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p7 @ X )
& ~ ( p107 @ X )
& ( p106 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p107 @ Y )
& ( p106 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p8 @ X )
& ~ ( p108 @ X )
& ( p107 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p8 @ X )
& ~ ( p108 @ X )
& ( p107 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p108 @ Y )
& ( p107 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p9 @ X )
& ~ ( p109 @ X )
& ( p108 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p9 @ X )
& ~ ( p109 @ X )
& ( p108 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p109 @ Y )
& ( p108 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p10 @ X )
& ~ ( p110 @ X )
& ( p109 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p10 @ X )
& ~ ( p110 @ X )
& ( p109 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p110 @ Y )
& ( p109 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p11 @ X )
& ~ ( p111 @ X )
& ( p110 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p11 @ X )
& ~ ( p111 @ X )
& ( p110 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p111 @ Y )
& ( p110 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p12 @ X )
& ~ ( p112 @ X )
& ( p111 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p12 @ X )
& ~ ( p112 @ X )
& ( p111 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p112 @ Y )
& ( p111 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p13 @ X )
& ~ ( p113 @ X )
& ( p112 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p13 @ X )
& ~ ( p113 @ X )
& ( p112 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p113 @ Y )
& ( p112 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p14 @ X )
& ~ ( p114 @ X )
& ( p113 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p14 @ X )
& ~ ( p114 @ X )
& ( p113 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p114 @ Y )
& ( p113 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p15 @ X )
& ~ ( p115 @ X )
& ( p114 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p15 @ X )
& ~ ( p115 @ X )
& ( p114 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p115 @ Y )
& ( p114 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p16 @ X )
& ~ ( p116 @ X )
& ( p115 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p16 @ X )
& ~ ( p116 @ X )
& ( p115 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p116 @ Y )
& ( p115 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p17 @ X )
& ~ ( p117 @ X )
& ( p116 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p17 @ X )
& ~ ( p117 @ X )
& ( p116 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p117 @ Y )
& ( p116 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p18 @ X )
& ~ ( p118 @ X )
& ( p117 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p18 @ X )
& ~ ( p118 @ X )
& ( p117 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p118 @ Y )
& ( p117 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p19 @ X )
& ~ ( p119 @ X )
& ( p118 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p19 @ X )
& ~ ( p119 @ X )
& ( p118 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p119 @ Y )
& ( p118 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p20 @ X )
& ~ ( p120 @ X )
& ( p119 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p20 @ X )
& ~ ( p120 @ X )
& ( p119 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p120 @ Y )
& ( p119 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p21 @ X )
& ~ ( p121 @ X )
& ( p120 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p21 @ X )
& ~ ( p121 @ X )
& ( p120 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) ) )
| ~ ( r1 @ X @ Y ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [X: $i] :
~ ( ~ ! [Y: $i] :
( ( p8 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ( ( ~ ( p101 @ Y )
| ( p100 @ Y ) )
& ( ~ ( p102 @ Y )
| ( p101 @ Y ) )
& ( ~ ( p103 @ Y )
| ( p102 @ Y ) )
& ( ~ ( p104 @ Y )
| ( p103 @ Y ) )
& ( ~ ( p105 @ Y )
| ( p104 @ Y ) )
& ( ~ ( p106 @ Y )
| ( p105 @ Y ) )
& ( ~ ( p107 @ Y )
| ( p106 @ Y ) )
& ( ~ ( p108 @ Y )
| ( p107 @ Y ) )
& ( ~ ( p109 @ Y )
| ( p108 @ Y ) )
& ( ~ ( p110 @ Y )
| ( p109 @ Y ) )
& ( ~ ( p111 @ Y )
| ( p110 @ Y ) )
& ( ~ ( p112 @ Y )
| ( p111 @ Y ) )
& ( ~ ( p113 @ Y )
| ( p112 @ Y ) )
& ( ~ ( p114 @ Y )
| ( p113 @ Y ) )
& ( ~ ( p115 @ Y )
| ( p114 @ Y ) )
& ( ~ ( p116 @ Y )
| ( p115 @ Y ) )
& ( ~ ( p117 @ Y )
| ( p116 @ Y ) )
& ( ~ ( p118 @ Y )
| ( p117 @ Y ) )
& ( ~ ( p119 @ Y )
| ( p118 @ Y ) )
& ( ~ ( p120 @ Y )
| ( p119 @ Y ) )
& ( ~ ( p121 @ Y )
| ( p120 @ Y ) )
& ( ~ ( p100 @ Y )
| ( ( ~ ( p1 @ Y )
| ! [X: $i] :
( ~ ( p100 @ X )
| ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p1 @ Y )
| ! [X: $i] :
( ~ ( p100 @ X )
| ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p101 @ Y )
| ( ( ~ ( p2 @ Y )
| ! [X: $i] :
( ~ ( p101 @ X )
| ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p2 @ Y )
| ! [X: $i] :
( ~ ( p101 @ X )
| ~ ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p102 @ Y )
| ( ( ~ ( p3 @ Y )
| ! [X: $i] :
( ~ ( p102 @ X )
| ( p3 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p3 @ Y )
| ! [X: $i] :
( ~ ( p102 @ X )
| ~ ( p3 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p103 @ Y )
| ( ( ~ ( p4 @ Y )
| ! [X: $i] :
( ~ ( p103 @ X )
| ( p4 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p4 @ Y )
| ! [X: $i] :
( ~ ( p103 @ X )
| ~ ( p4 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p104 @ Y )
| ( ( ~ ( p5 @ Y )
| ! [X: $i] :
( ~ ( p104 @ X )
| ( p5 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p5 @ Y )
| ! [X: $i] :
( ~ ( p104 @ X )
| ~ ( p5 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p105 @ Y )
| ( ( ~ ( p6 @ Y )
| ! [X: $i] :
( ~ ( p105 @ X )
| ( p6 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p6 @ Y )
| ! [X: $i] :
( ~ ( p105 @ X )
| ~ ( p6 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p106 @ Y )
| ( ( ~ ( p7 @ Y )
| ! [X: $i] :
( ~ ( p106 @ X )
| ( p7 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p7 @ Y )
| ! [X: $i] :
( ~ ( p106 @ X )
| ~ ( p7 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p107 @ Y )
| ( ( ~ ( p8 @ Y )
| ! [X: $i] :
( ~ ( p107 @ X )
| ( p8 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p8 @ Y )
| ! [X: $i] :
( ~ ( p107 @ X )
| ~ ( p8 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p108 @ Y )
| ( ( ~ ( p9 @ Y )
| ! [X: $i] :
( ~ ( p108 @ X )
| ( p9 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p9 @ Y )
| ! [X: $i] :
( ~ ( p108 @ X )
| ~ ( p9 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p109 @ Y )
| ( ( ~ ( p10 @ Y )
| ! [X: $i] :
( ~ ( p109 @ X )
| ( p10 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p10 @ Y )
| ! [X: $i] :
( ~ ( p109 @ X )
| ~ ( p10 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p110 @ Y )
| ( ( ~ ( p11 @ Y )
| ! [X: $i] :
( ~ ( p110 @ X )
| ( p11 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p11 @ Y )
| ! [X: $i] :
( ~ ( p110 @ X )
| ~ ( p11 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p111 @ Y )
| ( ( ~ ( p12 @ Y )
| ! [X: $i] :
( ~ ( p111 @ X )
| ( p12 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p12 @ Y )
| ! [X: $i] :
( ~ ( p111 @ X )
| ~ ( p12 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p112 @ Y )
| ( ( ~ ( p13 @ Y )
| ! [X: $i] :
( ~ ( p112 @ X )
| ( p13 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p13 @ Y )
| ! [X: $i] :
( ~ ( p112 @ X )
| ~ ( p13 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p113 @ Y )
| ( ( ~ ( p14 @ Y )
| ! [X: $i] :
( ~ ( p113 @ X )
| ( p14 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p14 @ Y )
| ! [X: $i] :
( ~ ( p113 @ X )
| ~ ( p14 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p114 @ Y )
| ( ( ~ ( p15 @ Y )
| ! [X: $i] :
( ~ ( p114 @ X )
| ( p15 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p15 @ Y )
| ! [X: $i] :
( ~ ( p114 @ X )
| ~ ( p15 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p115 @ Y )
| ( ( ~ ( p16 @ Y )
| ! [X: $i] :
( ~ ( p115 @ X )
| ( p16 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p16 @ Y )
| ! [X: $i] :
( ~ ( p115 @ X )
| ~ ( p16 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p116 @ Y )
| ( ( ~ ( p17 @ Y )
| ! [X: $i] :
( ~ ( p116 @ X )
| ( p17 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p17 @ Y )
| ! [X: $i] :
( ~ ( p116 @ X )
| ~ ( p17 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p117 @ Y )
| ( ( ~ ( p18 @ Y )
| ! [X: $i] :
( ~ ( p117 @ X )
| ( p18 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p18 @ Y )
| ! [X: $i] :
( ~ ( p117 @ X )
| ~ ( p18 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p118 @ Y )
| ( ( ~ ( p19 @ Y )
| ! [X: $i] :
( ~ ( p118 @ X )
| ( p19 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p19 @ Y )
| ! [X: $i] :
( ~ ( p118 @ X )
| ~ ( p19 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p119 @ Y )
| ( ( ~ ( p20 @ Y )
| ! [X: $i] :
( ~ ( p119 @ X )
| ( p20 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p20 @ Y )
| ! [X: $i] :
( ~ ( p119 @ X )
| ~ ( p20 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p120 @ Y )
| ( ( ~ ( p21 @ Y )
| ! [X: $i] :
( ~ ( p120 @ X )
| ( p21 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p21 @ Y )
| ! [X: $i] :
( ~ ( p120 @ X )
| ~ ( p21 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( ~ ( p101 @ Y )
& ( p100 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p3 @ X )
& ~ ( p103 @ X )
& ( p102 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p3 @ X )
& ~ ( p103 @ X )
& ( p102 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p103 @ Y )
& ( p102 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p4 @ X )
& ~ ( p104 @ X )
& ( p103 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p4 @ X )
& ~ ( p104 @ X )
& ( p103 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p104 @ Y )
& ( p103 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p5 @ X )
& ~ ( p105 @ X )
& ( p104 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p5 @ X )
& ~ ( p105 @ X )
& ( p104 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p105 @ Y )
& ( p104 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p6 @ X )
& ~ ( p106 @ X )
& ( p105 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p6 @ X )
& ~ ( p106 @ X )
& ( p105 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p106 @ Y )
& ( p105 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p7 @ X )
& ~ ( p107 @ X )
& ( p106 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p7 @ X )
& ~ ( p107 @ X )
& ( p106 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p107 @ Y )
& ( p106 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p8 @ X )
& ~ ( p108 @ X )
& ( p107 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p8 @ X )
& ~ ( p108 @ X )
& ( p107 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p108 @ Y )
& ( p107 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p9 @ X )
& ~ ( p109 @ X )
& ( p108 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p9 @ X )
& ~ ( p109 @ X )
& ( p108 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p109 @ Y )
& ( p108 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p10 @ X )
& ~ ( p110 @ X )
& ( p109 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p10 @ X )
& ~ ( p110 @ X )
& ( p109 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p110 @ Y )
& ( p109 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p11 @ X )
& ~ ( p111 @ X )
& ( p110 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p11 @ X )
& ~ ( p111 @ X )
& ( p110 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p111 @ Y )
& ( p110 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p12 @ X )
& ~ ( p112 @ X )
& ( p111 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p12 @ X )
& ~ ( p112 @ X )
& ( p111 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p112 @ Y )
& ( p111 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p13 @ X )
& ~ ( p113 @ X )
& ( p112 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p13 @ X )
& ~ ( p113 @ X )
& ( p112 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p113 @ Y )
& ( p112 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p14 @ X )
& ~ ( p114 @ X )
& ( p113 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p14 @ X )
& ~ ( p114 @ X )
& ( p113 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p114 @ Y )
& ( p113 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p15 @ X )
& ~ ( p115 @ X )
& ( p114 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p15 @ X )
& ~ ( p115 @ X )
& ( p114 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p115 @ Y )
& ( p114 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p16 @ X )
& ~ ( p116 @ X )
& ( p115 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p16 @ X )
& ~ ( p116 @ X )
& ( p115 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p116 @ Y )
& ( p115 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p17 @ X )
& ~ ( p117 @ X )
& ( p116 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p17 @ X )
& ~ ( p117 @ X )
& ( p116 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p117 @ Y )
& ( p116 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p18 @ X )
& ~ ( p118 @ X )
& ( p117 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p18 @ X )
& ~ ( p118 @ X )
& ( p117 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p118 @ Y )
& ( p117 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p19 @ X )
& ~ ( p119 @ X )
& ( p118 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p19 @ X )
& ~ ( p119 @ X )
& ( p118 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p119 @ Y )
& ( p118 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p20 @ X )
& ~ ( p120 @ X )
& ( p119 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p20 @ X )
& ~ ( p120 @ X )
& ( p119 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) )
& ( ~ ( ~ ( p120 @ Y )
& ( p119 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p21 @ X )
& ~ ( p121 @ X )
& ( p120 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p21 @ X )
& ~ ( p121 @ X )
& ( p120 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) ) )
| ~ ( r1 @ X @ Y ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl118,plain,
! [X0: $i] :
( ~ ( p8 @ ( sk__14 @ X0 ) )
| ( p107 @ X0 )
| ~ ( p106 @ X0 )
| ~ ( r1 @ sk_ @ 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_cl65,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__1 @ X0 ) )
| ( p101 @ X0 )
| ~ ( p100 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl860,plain,
( ~ ( p100 @ sk_ )
| ( p101 @ sk_ )
| ( r1 @ sk_ @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl65]) ).
thf(zip_derived_cl226,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl225,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl861,plain,
r1 @ sk_ @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl860,zip_derived_cl226,zip_derived_cl225]) ).
thf(zip_derived_cl73,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__3 @ X0 ) )
| ( p102 @ X0 )
| ~ ( p101 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1918,plain,
( ~ ( p101 @ ( sk__1 @ sk_ ) )
| ( p102 @ ( sk__1 @ sk_ ) )
| ( r1 @ ( sk__1 @ sk_ ) @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl861,zip_derived_cl73]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( p101 @ ( sk__1 @ X0 ) )
| ( p101 @ X0 )
| ~ ( p100 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl373,plain,
( ~ ( p100 @ sk_ )
| ( p101 @ sk_ )
| ( p101 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl68]) ).
thf(zip_derived_cl226_002,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl225_003,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl374,plain,
p101 @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl373,zip_derived_cl226,zip_derived_cl225]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ~ ( p102 @ ( sk__1 @ X0 ) )
| ( p101 @ X0 )
| ~ ( p100 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl333,plain,
( ~ ( p100 @ sk_ )
| ( p101 @ sk_ )
| ~ ( p102 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl67]) ).
thf(zip_derived_cl226_005,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl225_006,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl334,plain,
~ ( p102 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl226,zip_derived_cl225]) ).
thf(zip_derived_cl1921,plain,
r1 @ ( sk__1 @ sk_ ) @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1918,zip_derived_cl374,zip_derived_cl334]) ).
thf(zip_derived_cl861_007,plain,
r1 @ sk_ @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl860,zip_derived_cl226,zip_derived_cl225]) ).
thf(transitivity,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( r1 @ X @ Y )
& ( r1 @ Y @ Z ) )
=> ( r1 @ X @ Z ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl862,plain,
! [X0: $i] :
( ( r1 @ sk_ @ X0 )
| ~ ( r1 @ ( sk__1 @ sk_ ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl861,zip_derived_cl1]) ).
thf(zip_derived_cl2056,plain,
r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1921,zip_derived_cl862]) ).
thf(zip_derived_cl81,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ( p103 @ X0 )
| ~ ( p102 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2181,plain,
( ~ ( p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ) )
| ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) )
| ( r1 @ ( sk__3 @ ( sk__1 @ sk_ ) ) @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2056,zip_derived_cl81]) ).
thf(zip_derived_cl76,plain,
! [X0: $i] :
( ( p102 @ ( sk__3 @ X0 ) )
| ( p102 @ X0 )
| ~ ( p101 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl861_008,plain,
r1 @ sk_ @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl860,zip_derived_cl226,zip_derived_cl225]) ).
thf(zip_derived_cl1045,plain,
( ~ ( p101 @ ( sk__1 @ sk_ ) )
| ( p102 @ ( sk__1 @ sk_ ) )
| ( p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl76,zip_derived_cl861]) ).
thf(zip_derived_cl374_009,plain,
p101 @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl373,zip_derived_cl226,zip_derived_cl225]) ).
thf(zip_derived_cl334_010,plain,
~ ( p102 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl226,zip_derived_cl225]) ).
thf(zip_derived_cl1166,plain,
p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1045,zip_derived_cl374,zip_derived_cl334]) ).
thf(zip_derived_cl75,plain,
! [X0: $i] :
( ~ ( p103 @ ( sk__3 @ X0 ) )
| ( p102 @ X0 )
| ~ ( p101 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl861_011,plain,
r1 @ sk_ @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl860,zip_derived_cl226,zip_derived_cl225]) ).
thf(zip_derived_cl1044,plain,
( ~ ( p101 @ ( sk__1 @ sk_ ) )
| ( p102 @ ( sk__1 @ sk_ ) )
| ~ ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl75,zip_derived_cl861]) ).
thf(zip_derived_cl374_012,plain,
p101 @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl373,zip_derived_cl226,zip_derived_cl225]) ).
thf(zip_derived_cl334_013,plain,
~ ( p102 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl226,zip_derived_cl225]) ).
thf(zip_derived_cl1165,plain,
~ ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1044,zip_derived_cl374,zip_derived_cl334]) ).
thf(zip_derived_cl2505,plain,
r1 @ ( sk__3 @ ( sk__1 @ sk_ ) ) @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2181,zip_derived_cl1166,zip_derived_cl1165]) ).
thf(zip_derived_cl2056_014,plain,
r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1921,zip_derived_cl862]) ).
thf(zip_derived_cl1_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl2104,plain,
! [X0: $i] :
( ( r1 @ sk_ @ X0 )
| ~ ( r1 @ ( sk__3 @ ( sk__1 @ sk_ ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2056,zip_derived_cl1]) ).
thf(zip_derived_cl4782,plain,
r1 @ sk_ @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2505,zip_derived_cl2104]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__7 @ X0 ) )
| ( p104 @ X0 )
| ~ ( p103 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4917,plain,
( ~ ( p103 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) )
| ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) )
| ( r1 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4782,zip_derived_cl89]) ).
thf(zip_derived_cl84,plain,
! [X0: $i] :
( ( p103 @ ( sk__5 @ X0 ) )
| ( p103 @ X0 )
| ~ ( p102 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2056_016,plain,
r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1921,zip_derived_cl862]) ).
thf(zip_derived_cl2327,plain,
( ~ ( p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ) )
| ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) )
| ( p103 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl84,zip_derived_cl2056]) ).
thf(zip_derived_cl1166_017,plain,
p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1045,zip_derived_cl374,zip_derived_cl334]) ).
thf(zip_derived_cl1165_018,plain,
~ ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1044,zip_derived_cl374,zip_derived_cl334]) ).
thf(zip_derived_cl2442,plain,
p103 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2327,zip_derived_cl1166,zip_derived_cl1165]) ).
thf(zip_derived_cl83,plain,
! [X0: $i] :
( ~ ( p104 @ ( sk__5 @ X0 ) )
| ( p103 @ X0 )
| ~ ( p102 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2056_019,plain,
r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1921,zip_derived_cl862]) ).
thf(zip_derived_cl2326,plain,
( ~ ( p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ) )
| ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) )
| ~ ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl2056]) ).
thf(zip_derived_cl1166_020,plain,
p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1045,zip_derived_cl374,zip_derived_cl334]) ).
thf(zip_derived_cl1165_021,plain,
~ ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1044,zip_derived_cl374,zip_derived_cl334]) ).
thf(zip_derived_cl2441,plain,
~ ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2326,zip_derived_cl1166,zip_derived_cl1165]) ).
thf(zip_derived_cl5265,plain,
r1 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4917,zip_derived_cl2442,zip_derived_cl2441]) ).
thf(zip_derived_cl4782_022,plain,
r1 @ sk_ @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2505,zip_derived_cl2104]) ).
thf(zip_derived_cl1_023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl4832,plain,
! [X0: $i] :
( ( r1 @ sk_ @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4782,zip_derived_cl1]) ).
thf(zip_derived_cl11031,plain,
r1 @ sk_ @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5265,zip_derived_cl4832]) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__9 @ X0 ) )
| ( p105 @ X0 )
| ~ ( p104 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11176,plain,
( ~ ( p104 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) )
| ( p105 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) )
| ( r1 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11031,zip_derived_cl97]) ).
thf(zip_derived_cl92,plain,
! [X0: $i] :
( ( p104 @ ( sk__7 @ X0 ) )
| ( p104 @ X0 )
| ~ ( p103 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4782_024,plain,
r1 @ sk_ @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2505,zip_derived_cl2104]) ).
thf(zip_derived_cl5093,plain,
( ~ ( p103 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) )
| ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) )
| ( p104 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl92,zip_derived_cl4782]) ).
thf(zip_derived_cl2442_025,plain,
p103 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2327,zip_derived_cl1166,zip_derived_cl1165]) ).
thf(zip_derived_cl2441_026,plain,
~ ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2326,zip_derived_cl1166,zip_derived_cl1165]) ).
thf(zip_derived_cl5202,plain,
p104 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5093,zip_derived_cl2442,zip_derived_cl2441]) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ~ ( p105 @ ( sk__7 @ X0 ) )
| ( p104 @ X0 )
| ~ ( p103 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4782_027,plain,
r1 @ sk_ @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2505,zip_derived_cl2104]) ).
thf(zip_derived_cl5092,plain,
( ~ ( p103 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) )
| ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) )
| ~ ( p105 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl91,zip_derived_cl4782]) ).
thf(zip_derived_cl2442_028,plain,
p103 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2327,zip_derived_cl1166,zip_derived_cl1165]) ).
thf(zip_derived_cl2441_029,plain,
~ ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2326,zip_derived_cl1166,zip_derived_cl1165]) ).
thf(zip_derived_cl5201,plain,
~ ( p105 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5092,zip_derived_cl2442,zip_derived_cl2441]) ).
thf(zip_derived_cl11516,plain,
r1 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11176,zip_derived_cl5202,zip_derived_cl5201]) ).
thf(zip_derived_cl11031_030,plain,
r1 @ sk_ @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5265,zip_derived_cl4832]) ).
thf(zip_derived_cl1_031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl11083,plain,
! [X0: $i] :
( ( r1 @ sk_ @ X0 )
| ~ ( r1 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11031,zip_derived_cl1]) ).
thf(zip_derived_cl24873,plain,
r1 @ sk_ @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11516,zip_derived_cl11083]) ).
thf(zip_derived_cl105,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ( p106 @ X0 )
| ~ ( p105 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25024,plain,
( ~ ( p105 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) )
| ( p106 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) )
| ( r1 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24873,zip_derived_cl105]) ).
thf(zip_derived_cl100,plain,
! [X0: $i] :
( ( p105 @ ( sk__9 @ X0 ) )
| ( p105 @ X0 )
| ~ ( p104 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11031_032,plain,
r1 @ sk_ @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5265,zip_derived_cl4832]) ).
thf(zip_derived_cl11350,plain,
( ~ ( p104 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) )
| ( p105 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) )
| ( p105 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl100,zip_derived_cl11031]) ).
thf(zip_derived_cl5202_033,plain,
p104 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5093,zip_derived_cl2442,zip_derived_cl2441]) ).
thf(zip_derived_cl5201_034,plain,
~ ( p105 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5092,zip_derived_cl2442,zip_derived_cl2441]) ).
thf(zip_derived_cl11453,plain,
p105 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11350,zip_derived_cl5202,zip_derived_cl5201]) ).
thf(zip_derived_cl99,plain,
! [X0: $i] :
( ~ ( p106 @ ( sk__9 @ X0 ) )
| ( p105 @ X0 )
| ~ ( p104 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11031_035,plain,
r1 @ sk_ @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5265,zip_derived_cl4832]) ).
thf(zip_derived_cl11349,plain,
( ~ ( p104 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) )
| ( p105 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) )
| ~ ( p106 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl99,zip_derived_cl11031]) ).
thf(zip_derived_cl5202_036,plain,
p104 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5093,zip_derived_cl2442,zip_derived_cl2441]) ).
thf(zip_derived_cl5201_037,plain,
~ ( p105 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5092,zip_derived_cl2442,zip_derived_cl2441]) ).
thf(zip_derived_cl11452,plain,
~ ( p106 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11349,zip_derived_cl5202,zip_derived_cl5201]) ).
thf(zip_derived_cl25356,plain,
r1 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25024,zip_derived_cl11453,zip_derived_cl11452]) ).
thf(zip_derived_cl24873_038,plain,
r1 @ sk_ @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11516,zip_derived_cl11083]) ).
thf(zip_derived_cl1_039,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl24923,plain,
! [X0: $i] :
( ( r1 @ sk_ @ X0 )
| ~ ( r1 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24873,zip_derived_cl1]) ).
thf(zip_derived_cl57704,plain,
r1 @ sk_ @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25356,zip_derived_cl24923]) ).
thf(zip_derived_cl58034,plain,
( ~ ( p106 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) )
| ( p107 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) )
| ~ ( p8 @ ( sk__14 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl118,zip_derived_cl57704]) ).
thf(zip_derived_cl108,plain,
! [X0: $i] :
( ( p106 @ ( sk__11 @ X0 ) )
| ( p106 @ X0 )
| ~ ( p105 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24873_040,plain,
r1 @ sk_ @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11516,zip_derived_cl11083]) ).
thf(zip_derived_cl25196,plain,
( ~ ( p105 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) )
| ( p106 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) )
| ( p106 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl108,zip_derived_cl24873]) ).
thf(zip_derived_cl11453_041,plain,
p105 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11350,zip_derived_cl5202,zip_derived_cl5201]) ).
thf(zip_derived_cl11452_042,plain,
~ ( p106 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11349,zip_derived_cl5202,zip_derived_cl5201]) ).
thf(zip_derived_cl25293,plain,
p106 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25196,zip_derived_cl11453,zip_derived_cl11452]) ).
thf(zip_derived_cl107,plain,
! [X0: $i] :
( ~ ( p107 @ ( sk__11 @ X0 ) )
| ( p106 @ X0 )
| ~ ( p105 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24873_043,plain,
r1 @ sk_ @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11516,zip_derived_cl11083]) ).
thf(zip_derived_cl25195,plain,
( ~ ( p105 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) )
| ( p106 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) )
| ~ ( p107 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl24873]) ).
thf(zip_derived_cl11453_044,plain,
p105 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11350,zip_derived_cl5202,zip_derived_cl5201]) ).
thf(zip_derived_cl11452_045,plain,
~ ( p106 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11349,zip_derived_cl5202,zip_derived_cl5201]) ).
thf(zip_derived_cl25292,plain,
~ ( p107 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25195,zip_derived_cl11453,zip_derived_cl11452]) ).
thf(zip_derived_cl58125,plain,
~ ( p8 @ ( sk__14 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl58034,zip_derived_cl25293,zip_derived_cl25292]) ).
thf(zip_derived_cl57704_046,plain,
r1 @ sk_ @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25356,zip_derived_cl24923]) ).
thf(zip_derived_cl117,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__14 @ X0 ) )
| ( p107 @ X0 )
| ~ ( p106 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57867,plain,
( ~ ( p106 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) )
| ( p107 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) )
| ( r1 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) @ ( sk__14 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl57704,zip_derived_cl117]) ).
thf(zip_derived_cl25293_047,plain,
p106 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25196,zip_derived_cl11453,zip_derived_cl11452]) ).
thf(zip_derived_cl25292_048,plain,
~ ( p107 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25195,zip_derived_cl11453,zip_derived_cl11452]) ).
thf(zip_derived_cl58189,plain,
r1 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) @ ( sk__14 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57867,zip_derived_cl25293,zip_derived_cl25292]) ).
thf(zip_derived_cl57704_049,plain,
r1 @ sk_ @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25356,zip_derived_cl24923]) ).
thf(zip_derived_cl1_050,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl57754,plain,
! [X0: $i] :
( ( r1 @ sk_ @ X0 )
| ~ ( r1 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl57704,zip_derived_cl1]) ).
thf(zip_derived_cl129794,plain,
r1 @ sk_ @ ( sk__14 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl58189,zip_derived_cl57754]) ).
thf(zip_derived_cl227,plain,
! [X43: $i] :
( ( p8 @ X43 )
| ~ ( r1 @ sk_ @ X43 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130067,plain,
p8 @ ( sk__14 @ ( sk__11 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl129794,zip_derived_cl227]) ).
thf(zip_derived_cl130297,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl58125,zip_derived_cl130067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL674+1.020 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VOIn4eaMPt true
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 05:33:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.19/0.65 % Total configuration time : 435
% 0.19/0.65 % Estimated wc time : 1092
% 0.19/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 187.17/27.33 % Solved by fo/fo3_bce.sh.
% 187.17/27.33 % BCE start: 228
% 187.17/27.33 % BCE eliminated: 3
% 187.17/27.33 % PE start: 225
% 187.17/27.33 logic: neq
% 187.17/27.33 % PE eliminated: 0
% 187.17/27.33 % done 28738 iterations in 26.588s
% 187.17/27.33 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 187.17/27.33 % SZS output start Refutation
% See solution above
% 187.17/27.34
% 187.17/27.34
% 187.17/27.34 % Terminating...
% 187.36/27.43 % Runner terminated.
% 187.36/27.44 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------