%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7pBmLSLNmN true
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:36:57 PM UTC 2026
% Result : Theorem 7.91s 1.91s
% Output : Refutation 7.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 76 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 593 ( 0 equ; 0 cnn)
% Maximal formula atoms : 226 ( 7 avg)
% Number of connectives : 1883 ( 472 ~; 307 |; 209 &; 894 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 29 usr; 2 con; 0-2 aty)
% Number of variables : 121 ( 0 ^; 119 !; 2 ?; 121 :)
% Comments :
%------------------------------------------------------------------------------
thf(p8_type,type,
p8: $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(p6_type,type,
p6: $i > $o ).
thf(p10_type,type,
p10: $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(p104_type,type,
p104: $i > $o ).
thf(p107_type,type,
p107: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p108_type,type,
p108: $i > $o ).
thf(p103_type,type,
p103: $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(p102_type,type,
p102: $i > $o ).
thf(p109_type,type,
p109: $i > $o ).
thf(p9_type,type,
p9: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(p100_type,type,
p100: $i > $o ).
thf(p106_type,type,
p106: $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(p111_type,type,
p111: $i > $o ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(p7_type,type,
p7: $i > $o ).
thf(p105_type,type,
p105: $i > $o ).
thf(p101_type,type,
p101: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(p110_type,type,
p110: $i > $o ).
thf(main,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ( p5 @ 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 ) )
& ( ~ ( 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 ) ) ) ) )
& ( ~ ( ~ ( 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 ) ) ) ) )
| ~ ( r1 @ X @ Y ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [X: $i] :
~ ( ~ ! [Y: $i] :
( ( p5 @ 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 ) )
& ( ~ ( 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 ) ) ) ) )
& ( ~ ( ~ ( 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 ) ) ) ) )
| ~ ( r1 @ X @ Y ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ~ ( p5 @ ( sk__8 @ X0 ) )
| ( p104 @ X0 )
| ~ ( p103 @ 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_cl35,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_cl432,plain,
( ~ ( p100 @ sk_ )
| ( p101 @ sk_ )
| ( r1 @ sk_ @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl35]) ).
thf(zip_derived_cl116,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl115,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl433,plain,
r1 @ sk_ @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl116,zip_derived_cl115]) ).
thf(zip_derived_cl43,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_cl1022,plain,
( ~ ( p101 @ ( sk__1 @ sk_ ) )
| ( p102 @ ( sk__1 @ sk_ ) )
| ( r1 @ ( sk__1 @ sk_ ) @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl43]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ( p101 @ ( sk__1 @ X0 ) )
| ( p101 @ X0 )
| ~ ( p100 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201,plain,
( ~ ( p100 @ sk_ )
| ( p101 @ sk_ )
| ( p101 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl38]) ).
thf(zip_derived_cl116_002,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl115_003,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl202,plain,
p101 @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl116,zip_derived_cl115]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ~ ( p102 @ ( sk__1 @ X0 ) )
| ( p101 @ X0 )
| ~ ( p100 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl173,plain,
( ~ ( p100 @ sk_ )
| ( p101 @ sk_ )
| ~ ( p102 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl37]) ).
thf(zip_derived_cl116_005,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl115_006,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl174,plain,
~ ( p102 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl116,zip_derived_cl115]) ).
thf(zip_derived_cl1025,plain,
r1 @ ( sk__1 @ sk_ ) @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1022,zip_derived_cl202,zip_derived_cl174]) ).
thf(zip_derived_cl433_007,plain,
r1 @ sk_ @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl116,zip_derived_cl115]) ).
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_cl434,plain,
! [X0: $i] :
( ( r1 @ sk_ @ X0 )
| ~ ( r1 @ ( sk__1 @ sk_ ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl1]) ).
thf(zip_derived_cl1098,plain,
r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1025,zip_derived_cl434]) ).
thf(zip_derived_cl51,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_cl1173,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_cl1098,zip_derived_cl51]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( p102 @ ( sk__3 @ X0 ) )
| ( p102 @ X0 )
| ~ ( p101 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl433_008,plain,
r1 @ sk_ @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl116,zip_derived_cl115]) ).
thf(zip_derived_cl530,plain,
( ~ ( p101 @ ( sk__1 @ sk_ ) )
| ( p102 @ ( sk__1 @ sk_ ) )
| ( p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl433]) ).
thf(zip_derived_cl202_009,plain,
p101 @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl116,zip_derived_cl115]) ).
thf(zip_derived_cl174_010,plain,
~ ( p102 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl116,zip_derived_cl115]) ).
thf(zip_derived_cl591,plain,
p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl530,zip_derived_cl202,zip_derived_cl174]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ~ ( p103 @ ( sk__3 @ X0 ) )
| ( p102 @ X0 )
| ~ ( p101 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl433_011,plain,
r1 @ sk_ @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl116,zip_derived_cl115]) ).
thf(zip_derived_cl529,plain,
( ~ ( p101 @ ( sk__1 @ sk_ ) )
| ( p102 @ ( sk__1 @ sk_ ) )
| ~ ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl433]) ).
thf(zip_derived_cl202_012,plain,
p101 @ ( sk__1 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl116,zip_derived_cl115]) ).
thf(zip_derived_cl174_013,plain,
~ ( p102 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl116,zip_derived_cl115]) ).
thf(zip_derived_cl590,plain,
~ ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl529,zip_derived_cl202,zip_derived_cl174]) ).
thf(zip_derived_cl1345,plain,
r1 @ ( sk__3 @ ( sk__1 @ sk_ ) ) @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1173,zip_derived_cl591,zip_derived_cl590]) ).
thf(zip_derived_cl1098_014,plain,
r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1025,zip_derived_cl434]) ).
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_cl1126,plain,
! [X0: $i] :
( ( r1 @ sk_ @ X0 )
| ~ ( r1 @ ( sk__3 @ ( sk__1 @ sk_ ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl1]) ).
thf(zip_derived_cl2548,plain,
r1 @ sk_ @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1345,zip_derived_cl1126]) ).
thf(zip_derived_cl2714,plain,
( ~ ( p103 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) )
| ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) )
| ~ ( p5 @ ( sk__8 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl2548]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ( p103 @ ( sk__5 @ X0 ) )
| ( p103 @ X0 )
| ~ ( p102 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1098_016,plain,
r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1025,zip_derived_cl434]) ).
thf(zip_derived_cl1247,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_cl54,zip_derived_cl1098]) ).
thf(zip_derived_cl591_017,plain,
p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl530,zip_derived_cl202,zip_derived_cl174]) ).
thf(zip_derived_cl590_018,plain,
~ ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl529,zip_derived_cl202,zip_derived_cl174]) ).
thf(zip_derived_cl1302,plain,
p103 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1247,zip_derived_cl591,zip_derived_cl590]) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ~ ( p104 @ ( sk__5 @ X0 ) )
| ( p103 @ X0 )
| ~ ( p102 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1098_019,plain,
r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1025,zip_derived_cl434]) ).
thf(zip_derived_cl1246,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_cl53,zip_derived_cl1098]) ).
thf(zip_derived_cl591_020,plain,
p102 @ ( sk__3 @ ( sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl530,zip_derived_cl202,zip_derived_cl174]) ).
thf(zip_derived_cl590_021,plain,
~ ( p103 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl529,zip_derived_cl202,zip_derived_cl174]) ).
thf(zip_derived_cl1301,plain,
~ ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1246,zip_derived_cl591,zip_derived_cl590]) ).
thf(zip_derived_cl2763,plain,
~ ( p5 @ ( sk__8 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2714,zip_derived_cl1302,zip_derived_cl1301]) ).
thf(zip_derived_cl2548_022,plain,
r1 @ sk_ @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1345,zip_derived_cl1126]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__8 @ X0 ) )
| ( p104 @ X0 )
| ~ ( p103 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2631,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__8 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2548,zip_derived_cl63]) ).
thf(zip_derived_cl1302_023,plain,
p103 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1247,zip_derived_cl591,zip_derived_cl590]) ).
thf(zip_derived_cl1301_024,plain,
~ ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1246,zip_derived_cl591,zip_derived_cl590]) ).
thf(zip_derived_cl2807,plain,
r1 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) @ ( sk__8 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl1302,zip_derived_cl1301]) ).
thf(zip_derived_cl2548_025,plain,
r1 @ sk_ @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1345,zip_derived_cl1126]) ).
thf(zip_derived_cl1_026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ( r1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl2572,plain,
! [X0: $i] :
( ( r1 @ sk_ @ X0 )
| ~ ( r1 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2548,zip_derived_cl1]) ).
thf(zip_derived_cl6356,plain,
r1 @ sk_ @ ( sk__8 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2807,zip_derived_cl2572]) ).
thf(zip_derived_cl117,plain,
! [X23: $i] :
( ( p5 @ X23 )
| ~ ( r1 @ sk_ @ X23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6493,plain,
p5 @ ( sk__8 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6356,zip_derived_cl117]) ).
thf(zip_derived_cl6632,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2763,zip_derived_cl6493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7pBmLSLNmN true
% 0.12/0.37 % Computer : n028.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 5 21:15:00 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Running portfolio for 300 s
% 0.12/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Number of cores: 8
% 0.12/0.38 % Python version: Python 3.12.3
% 0.12/0.38 % Running in FO mode
% 0.44/0.66 % Total configuration time : 435
% 0.44/0.66 % Estimated wc time : 1092
% 0.44/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 7.91/1.91 % Solved by fo/fo3_bce.sh.
% 7.91/1.91 % BCE start: 118
% 7.91/1.91 % BCE eliminated: 3
% 7.91/1.91 % PE start: 115
% 7.91/1.91 logic: neq
% 7.91/1.91 % PE eliminated: 0
% 7.91/1.91 % done 1397 iterations in 1.076s
% 7.91/1.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.91/1.91 % SZS output start Refutation
% See solution above
% 7.91/1.91
% 7.91/1.91
% 7.91/1.91 % Terminating...
% 7.91/1.95 % Runner terminated.
% 7.91/1.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------