TSTP Solution File: LCL674+1.015 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL674+1.015 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xtnp8esoIa true
% Computer : n026.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 44.08s 6.96s
% Output : Refutation 44.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 44
% Syntax : Number of formulae : 155 ( 66 unt; 41 typ; 0 def)
% Number of atoms : 877 ( 0 equ; 0 cnn)
% Maximal formula atoms : 331 ( 7 avg)
% Number of connectives : 2922 ( 696 ~; 453 |; 309 &;1463 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 41 >; 0 *; 0 +; 0 <<)
% Number of symbols : 42 ( 41 usr; 2 con; 0-2 aty)
% Number of variables : 175 ( 0 ^; 173 !; 2 ?; 175 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(p103_type,type,
p103: $i > $o ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(p13_type,type,
p13: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(p15_type,type,
p15: $i > $o ).
thf(p106_type,type,
p106: $i > $o ).
thf(p109_type,type,
p109: $i > $o ).
thf(p112_type,type,
p112: $i > $o ).
thf(p100_type,type,
p100: $i > $o ).
thf(p7_type,type,
p7: $i > $o ).
thf(p113_type,type,
p113: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(p102_type,type,
p102: $i > $o ).
thf(p104_type,type,
p104: $i > $o ).
thf(p107_type,type,
p107: $i > $o ).
thf(p8_type,type,
p8: $i > $o ).
thf(p114_type,type,
p114: $i > $o ).
thf(p14_type,type,
p14: $i > $o ).
thf(p105_type,type,
p105: $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(p111_type,type,
p111: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p9_type,type,
p9: $i > $o ).
thf(p116_type,type,
p116: $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(p108_type,type,
p108: $i > $o ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p10_type,type,
p10: $i > $o ).
thf(p101_type,type,
p101: $i > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p12_type,type,
p12: $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(p110_type,type,
p110: $i > $o ).
thf(p16_type,type,
p16: $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(p115_type,type,
p115: $i > $o ).
thf(main,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ( p7 @ 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 ) )
& ( ~ ( 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 ) ) ) ) )
& ( ~ ( ~ ( 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 ) ) ) ) )
| ~ ( r1 @ X @ Y ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [X: $i] :
~ ( ~ ! [Y: $i] :
( ( p7 @ 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 ) )
& ( ~ ( 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 ) ) ) ) )
& ( ~ ( ~ ( 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 ) ) ) ) )
| ~ ( r1 @ X @ Y ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl95,plain,
! [X0: $i] :
( ~ ( p7 @ ( sk__12 @ X0 ) )
| ( p106 @ X0 )
| ~ ( p105 @ 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_cl50,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_cl667,plain,
( ~ ( p100 @ sk_ )
| ( p101 @ sk_ )
| ( r1 @ sk_ @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl50]) ).
thf(zip_derived_cl171,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl170,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl668,plain,
r1 @ sk_ @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl667,zip_derived_cl171,zip_derived_cl170]) ).
thf(zip_derived_cl58,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_cl1460,plain,
( ~ ( p101 @ ( sk__1 @ sk_ ) )
| ( p102 @ ( sk__1 @ sk_ ) )
| ( r1 @ ( sk__1 @ sk_ ) @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl58]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ( p101 @ ( sk__1 @ X0 ) )
| ( p101 @ X0 )
| ~ ( p100 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl285,plain,
( ~ ( p100 @ sk_ )
| ( p101 @ sk_ )
| ( p101 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl53]) ).
thf(zip_derived_cl171_002,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl170_003,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl286,plain,
p101 @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl171,zip_derived_cl170]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ~ ( p102 @ ( sk__1 @ X0 ) )
| ( p101 @ X0 )
| ~ ( p100 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl257,plain,
( ~ ( p100 @ sk_ )
| ( p101 @ sk_ )
| ~ ( p102 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl52]) ).
thf(zip_derived_cl171_005,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl170_006,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl258,plain,
~ ( p102 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl171,zip_derived_cl170]) ).
thf(zip_derived_cl1463,plain,
r1 @ ( sk__1 @ sk_ ) @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1460,zip_derived_cl286,zip_derived_cl258]) ).
thf(zip_derived_cl668_007,plain,
r1 @ sk_ @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl667,zip_derived_cl171,zip_derived_cl170]) ).
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_cl669,plain,
! [X0: $i] :
( ( r1 @ sk_ @ X0 )
| ~ ( r1 @ ( sk__1 @ sk_ ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl1]) ).
thf(zip_derived_cl1567,plain,
r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1463,zip_derived_cl669]) ).
thf(zip_derived_cl66,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_cl1667,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_cl1567,zip_derived_cl66]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ( p102 @ ( sk__3 @ X0 ) )
| ( p102 @ X0 )
| ~ ( p101 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl668_008,plain,
r1 @ sk_ @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl667,zip_derived_cl171,zip_derived_cl170]) ).
thf(zip_derived_cl812,plain,
( ~ ( p101 @ ( sk__1 @ sk_ ) )
| ( p102 @ ( sk__1 @ sk_ ) )
| ( p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl668]) ).
thf(zip_derived_cl286_009,plain,
p101 @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl171,zip_derived_cl170]) ).
thf(zip_derived_cl258_010,plain,
~ ( p102 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl171,zip_derived_cl170]) ).
thf(zip_derived_cl903,plain,
p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl812,zip_derived_cl286,zip_derived_cl258]) ).
thf(zip_derived_cl60,plain,
! [X0: $i] :
( ~ ( p103 @ ( sk__3 @ X0 ) )
| ( p102 @ X0 )
| ~ ( p101 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl668_011,plain,
r1 @ sk_ @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl667,zip_derived_cl171,zip_derived_cl170]) ).
thf(zip_derived_cl811,plain,
( ~ ( p101 @ ( sk__1 @ sk_ ) )
| ( p102 @ ( sk__1 @ sk_ ) )
| ~ ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl60,zip_derived_cl668]) ).
thf(zip_derived_cl286_012,plain,
p101 @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl171,zip_derived_cl170]) ).
thf(zip_derived_cl258_013,plain,
~ ( p102 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl171,zip_derived_cl170]) ).
thf(zip_derived_cl902,plain,
~ ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl811,zip_derived_cl286,zip_derived_cl258]) ).
thf(zip_derived_cl1915,plain,
r1 @ ( sk__3 @ ( sk__1 @ sk_ ) ) @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1667,zip_derived_cl903,zip_derived_cl902]) ).
thf(zip_derived_cl1567_014,plain,
r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1463,zip_derived_cl669]) ).
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_cl1605,plain,
! [X0: $i] :
( ( r1 @ sk_ @ X0 )
| ~ ( r1 @ ( sk__3 @ ( sk__1 @ sk_ ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1567,zip_derived_cl1]) ).
thf(zip_derived_cl3650,plain,
r1 @ sk_ @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1915,zip_derived_cl1605]) ).
thf(zip_derived_cl74,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_cl3760,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_cl3650,zip_derived_cl74]) ).
thf(zip_derived_cl69,plain,
! [X0: $i] :
( ( p103 @ ( sk__5 @ X0 ) )
| ( p103 @ X0 )
| ~ ( p102 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1567_016,plain,
r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1463,zip_derived_cl669]) ).
thf(zip_derived_cl1777,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_cl69,zip_derived_cl1567]) ).
thf(zip_derived_cl903_017,plain,
p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl812,zip_derived_cl286,zip_derived_cl258]) ).
thf(zip_derived_cl902_018,plain,
~ ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl811,zip_derived_cl286,zip_derived_cl258]) ).
thf(zip_derived_cl1862,plain,
p103 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1777,zip_derived_cl903,zip_derived_cl902]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ~ ( p104 @ ( sk__5 @ X0 ) )
| ( p103 @ X0 )
| ~ ( p102 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1567_019,plain,
r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1463,zip_derived_cl669]) ).
thf(zip_derived_cl1776,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_cl68,zip_derived_cl1567]) ).
thf(zip_derived_cl903_020,plain,
p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl812,zip_derived_cl286,zip_derived_cl258]) ).
thf(zip_derived_cl902_021,plain,
~ ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl811,zip_derived_cl286,zip_derived_cl258]) ).
thf(zip_derived_cl1861,plain,
~ ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1776,zip_derived_cl903,zip_derived_cl902]) ).
thf(zip_derived_cl4023,plain,
r1 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3760,zip_derived_cl1862,zip_derived_cl1861]) ).
thf(zip_derived_cl3650_022,plain,
r1 @ sk_ @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1915,zip_derived_cl1605]) ).
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_cl3690,plain,
! [X0: $i] :
( ( r1 @ sk_ @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3650,zip_derived_cl1]) ).
thf(zip_derived_cl8469,plain,
r1 @ sk_ @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4023,zip_derived_cl3690]) ).
thf(zip_derived_cl82,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_cl8585,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_cl8469,zip_derived_cl82]) ).
thf(zip_derived_cl77,plain,
! [X0: $i] :
( ( p104 @ ( sk__7 @ X0 ) )
| ( p104 @ X0 )
| ~ ( p103 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3650_024,plain,
r1 @ sk_ @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1915,zip_derived_cl1605]) ).
thf(zip_derived_cl3891,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_cl77,zip_derived_cl3650]) ).
thf(zip_derived_cl1862_025,plain,
p103 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1777,zip_derived_cl903,zip_derived_cl902]) ).
thf(zip_derived_cl1861_026,plain,
~ ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1776,zip_derived_cl903,zip_derived_cl902]) ).
thf(zip_derived_cl3970,plain,
p104 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3891,zip_derived_cl1862,zip_derived_cl1861]) ).
thf(zip_derived_cl76,plain,
! [X0: $i] :
( ~ ( p105 @ ( sk__7 @ X0 ) )
| ( p104 @ X0 )
| ~ ( p103 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3650_027,plain,
r1 @ sk_ @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1915,zip_derived_cl1605]) ).
thf(zip_derived_cl3890,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_cl76,zip_derived_cl3650]) ).
thf(zip_derived_cl1862_028,plain,
p103 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1777,zip_derived_cl903,zip_derived_cl902]) ).
thf(zip_derived_cl1861_029,plain,
~ ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1776,zip_derived_cl903,zip_derived_cl902]) ).
thf(zip_derived_cl3969,plain,
~ ( p105 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3890,zip_derived_cl1862,zip_derived_cl1861]) ).
thf(zip_derived_cl8840,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_cl8585,zip_derived_cl3970,zip_derived_cl3969]) ).
thf(zip_derived_cl8469_030,plain,
r1 @ sk_ @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4023,zip_derived_cl3690]) ).
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_cl8507,plain,
! [X0: $i] :
( ( r1 @ sk_ @ X0 )
| ~ ( r1 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8469,zip_derived_cl1]) ).
thf(zip_derived_cl19248,plain,
r1 @ sk_ @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8840,zip_derived_cl8507]) ).
thf(zip_derived_cl19500,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_ ) ) ) ) ) )
| ~ ( p7 @ ( sk__12 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl95,zip_derived_cl19248]) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ( p105 @ ( sk__9 @ X0 ) )
| ( p105 @ X0 )
| ~ ( p104 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8469_032,plain,
r1 @ sk_ @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4023,zip_derived_cl3690]) ).
thf(zip_derived_cl8714,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_cl85,zip_derived_cl8469]) ).
thf(zip_derived_cl3970_033,plain,
p104 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3891,zip_derived_cl1862,zip_derived_cl1861]) ).
thf(zip_derived_cl3969_034,plain,
~ ( p105 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3890,zip_derived_cl1862,zip_derived_cl1861]) ).
thf(zip_derived_cl8787,plain,
p105 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8714,zip_derived_cl3970,zip_derived_cl3969]) ).
thf(zip_derived_cl84,plain,
! [X0: $i] :
( ~ ( p106 @ ( sk__9 @ X0 ) )
| ( p105 @ X0 )
| ~ ( p104 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8469_035,plain,
r1 @ sk_ @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4023,zip_derived_cl3690]) ).
thf(zip_derived_cl8713,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_cl84,zip_derived_cl8469]) ).
thf(zip_derived_cl3970_036,plain,
p104 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3891,zip_derived_cl1862,zip_derived_cl1861]) ).
thf(zip_derived_cl3969_037,plain,
~ ( p105 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3890,zip_derived_cl1862,zip_derived_cl1861]) ).
thf(zip_derived_cl8786,plain,
~ ( p106 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8713,zip_derived_cl3970,zip_derived_cl3969]) ).
thf(zip_derived_cl19567,plain,
~ ( p7 @ ( sk__12 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19500,zip_derived_cl8787,zip_derived_cl8786]) ).
thf(zip_derived_cl19248_038,plain,
r1 @ sk_ @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8840,zip_derived_cl8507]) ).
thf(zip_derived_cl94,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__12 @ X0 ) )
| ( p106 @ X0 )
| ~ ( p105 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19376,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__12 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl19248,zip_derived_cl94]) ).
thf(zip_derived_cl8787_039,plain,
p105 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8714,zip_derived_cl3970,zip_derived_cl3969]) ).
thf(zip_derived_cl8786_040,plain,
~ ( p106 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8713,zip_derived_cl3970,zip_derived_cl3969]) ).
thf(zip_derived_cl19621,plain,
r1 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) @ ( sk__12 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19376,zip_derived_cl8787,zip_derived_cl8786]) ).
thf(zip_derived_cl19248_041,plain,
r1 @ sk_ @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8840,zip_derived_cl8507]) ).
thf(zip_derived_cl1_042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl19286,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_cl19248,zip_derived_cl1]) ).
thf(zip_derived_cl44960,plain,
r1 @ sk_ @ ( sk__12 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl19621,zip_derived_cl19286]) ).
thf(zip_derived_cl172,plain,
! [X33: $i] :
( ( p7 @ X33 )
| ~ ( r1 @ sk_ @ X33 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45166,plain,
p7 @ ( sk__12 @ ( sk__9 @ ( sk__7 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl44960,zip_derived_cl172]) ).
thf(zip_derived_cl45351,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl19567,zip_derived_cl45166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL674+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xtnp8esoIa true
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 17:21:32 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.21/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 44.08/6.96 % Solved by fo/fo3_bce.sh.
% 44.08/6.96 % BCE start: 173
% 44.08/6.96 % BCE eliminated: 3
% 44.08/6.96 % PE start: 170
% 44.08/6.96 logic: neq
% 44.08/6.96 % PE eliminated: 0
% 44.08/6.96 % done 10456 iterations in 6.184s
% 44.08/6.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 44.08/6.96 % SZS output start Refutation
% See solution above
% 44.08/6.96
% 44.08/6.96
% 44.08/6.96 % Terminating...
% 45.19/7.13 % Runner terminated.
% 45.19/7.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------