%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL686+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.DIlf8pjiKx true
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:37:01 PM UTC 2026
% Result : Theorem 2.89s 1.10s
% Output : Refutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 623 ( 0 equ; 0 cnn)
% Maximal formula atoms : 289 ( 32 avg)
% Number of connectives : 1899 ( 502 ~; 380 |; 224 &; 793 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 100 ( 16 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 33 usr; 2 con; 0-2 aty)
% Number of variables : 147 ( 0 ^; 145 !; 2 ?; 147 :)
% Comments :
%------------------------------------------------------------------------------
thf(p1_type,type,
p1: $i > $o ).
thf(p13_type,type,
p13: $i > $o ).
thf(p29_type,type,
p29: $i > $o ).
thf(p14_type,type,
p14: $i > $o ).
thf(p21_type,type,
p21: $i > $o ).
thf(p8_type,type,
p8: $i > $o ).
thf(p15_type,type,
p15: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(p23_type,type,
p23: $i > $o ).
thf(sk__33_type,type,
sk__33: $i > $i ).
thf(p19_type,type,
p19: $i > $o ).
thf(p7_type,type,
p7: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p30_type,type,
p30: $i > $o ).
thf(p20_type,type,
p20: $i > $o ).
thf(p10_type,type,
p10: $i > $o ).
thf(p25_type,type,
p25: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p24_type,type,
p24: $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(p18_type,type,
p18: $i > $o ).
thf(p17_type,type,
p17: $i > $o ).
thf(p26_type,type,
p26: $i > $o ).
thf(p22_type,type,
p22: $i > $o ).
thf(p27_type,type,
p27: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p28_type,type,
p28: $i > $o ).
thf(p9_type,type,
p9: $i > $o ).
thf(p16_type,type,
p16: $i > $o ).
thf(p12_type,type,
p12: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(reflexivity,axiom,
! [X: $i] : ( r1 @ X @ X ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(main,conjecture,
~ ? [X: $i] :
~ ( ! [Y: $i] :
( ! [X: $i] :
( ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( p30 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p3 @ X )
& ~ ( p2 @ X ) )
| ( ~ ( p3 @ X )
& ( p2 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p4 @ Y )
& ~ ( p3 @ Y ) )
| ( ~ ( p4 @ Y )
& ( p3 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p5 @ X )
& ~ ( p4 @ X ) )
| ( ~ ( p5 @ X )
& ( p4 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p6 @ Y )
& ~ ( p5 @ Y ) )
| ( ~ ( p6 @ Y )
& ( p5 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p7 @ X )
& ~ ( p6 @ X ) )
| ( ~ ( p7 @ X )
& ( p6 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p8 @ Y )
& ~ ( p7 @ Y ) )
| ( ~ ( p8 @ Y )
& ( p7 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p9 @ X )
& ~ ( p8 @ X ) )
| ( ~ ( p9 @ X )
& ( p8 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p10 @ Y )
& ~ ( p9 @ Y ) )
| ( ~ ( p10 @ Y )
& ( p9 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p11 @ X )
& ~ ( p10 @ X ) )
| ( ~ ( p11 @ X )
& ( p10 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p12 @ Y )
& ~ ( p11 @ Y ) )
| ( ~ ( p12 @ Y )
& ( p11 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p13 @ X )
& ~ ( p12 @ X ) )
| ( ~ ( p13 @ X )
& ( p12 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p14 @ Y )
& ~ ( p13 @ Y ) )
| ( ~ ( p14 @ Y )
& ( p13 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p15 @ X )
& ~ ( p14 @ X ) )
| ( ~ ( p15 @ X )
& ( p14 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p16 @ Y )
& ~ ( p15 @ Y ) )
| ( ~ ( p16 @ Y )
& ( p15 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p17 @ X )
& ~ ( p16 @ X ) )
| ( ~ ( p17 @ X )
& ( p16 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p18 @ Y )
& ~ ( p17 @ Y ) )
| ( ~ ( p18 @ Y )
& ( p17 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p19 @ X )
& ~ ( p18 @ X ) )
| ( ~ ( p19 @ X )
& ( p18 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p20 @ Y )
& ~ ( p19 @ Y ) )
| ( ~ ( p20 @ Y )
& ( p19 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p21 @ X )
& ~ ( p20 @ X ) )
| ( ~ ( p21 @ X )
& ( p20 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p22 @ Y )
& ~ ( p21 @ Y ) )
| ( ~ ( p22 @ Y )
& ( p21 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p23 @ X )
& ~ ( p22 @ X ) )
| ( ~ ( p23 @ X )
& ( p22 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p24 @ Y )
& ~ ( p23 @ Y ) )
| ( ~ ( p24 @ Y )
& ( p23 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p25 @ X )
& ~ ( p24 @ X ) )
| ( ~ ( p25 @ X )
& ( p24 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p26 @ Y )
& ~ ( p25 @ Y ) )
| ( ~ ( p26 @ Y )
& ( p25 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p27 @ X )
& ~ ( p26 @ X ) )
| ( ~ ( p27 @ X )
& ( p26 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p28 @ Y )
& ~ ( p27 @ Y ) )
| ( ~ ( p28 @ Y )
& ( p27 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p29 @ X )
& ~ ( p28 @ X ) )
| ( ~ ( p29 @ X )
& ( p28 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
~ ( r1 @ Y @ X )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ( ( p2 @ Y )
& ~ ( p1 @ Y ) )
| ( ~ ( p2 @ Y )
& ( p1 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ( p30 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ( ( p1 @ Y )
& ( p2 @ Y ) )
| ( ~ ( p2 @ Y )
& ~ ( p1 @ Y ) )
| ( ( p2 @ Y )
& ( p3 @ Y ) )
| ( ~ ( p3 @ Y )
& ~ ( p2 @ Y ) )
| ( ( p3 @ Y )
& ( p4 @ Y ) )
| ( ~ ( p4 @ Y )
& ~ ( p3 @ Y ) )
| ( ( p4 @ Y )
& ( p5 @ Y ) )
| ( ~ ( p5 @ Y )
& ~ ( p4 @ Y ) )
| ( ( p5 @ Y )
& ( p6 @ Y ) )
| ( ~ ( p6 @ Y )
& ~ ( p5 @ Y ) )
| ( ( p6 @ Y )
& ( p7 @ Y ) )
| ( ~ ( p7 @ Y )
& ~ ( p6 @ Y ) )
| ( ( p7 @ Y )
& ( p8 @ Y ) )
| ( ~ ( p8 @ Y )
& ~ ( p7 @ Y ) )
| ( ( p8 @ Y )
& ( p9 @ Y ) )
| ( ~ ( p9 @ Y )
& ~ ( p8 @ Y ) )
| ( ( p9 @ Y )
& ( p10 @ Y ) )
| ( ~ ( p10 @ Y )
& ~ ( p9 @ Y ) )
| ( ( p10 @ Y )
& ( p11 @ Y ) )
| ( ~ ( p11 @ Y )
& ~ ( p10 @ Y ) )
| ( ( p11 @ Y )
& ( p12 @ Y ) )
| ( ~ ( p12 @ Y )
& ~ ( p11 @ Y ) )
| ( ( p12 @ Y )
& ( p13 @ Y ) )
| ( ~ ( p13 @ Y )
& ~ ( p12 @ Y ) )
| ( ( p13 @ Y )
& ( p14 @ Y ) )
| ( ~ ( p14 @ Y )
& ~ ( p13 @ Y ) )
| ( ( p14 @ Y )
& ( p15 @ Y ) )
| ( ~ ( p15 @ Y )
& ~ ( p14 @ Y ) )
| ( ( p15 @ Y )
& ( p16 @ Y ) )
| ( ~ ( p16 @ Y )
& ~ ( p15 @ Y ) )
| ( ( p16 @ Y )
& ( p17 @ Y ) )
| ( ~ ( p17 @ Y )
& ~ ( p16 @ Y ) )
| ( ( p17 @ Y )
& ( p18 @ Y ) )
| ( ~ ( p18 @ Y )
& ~ ( p17 @ Y ) )
| ( ( p18 @ Y )
& ( p19 @ Y ) )
| ( ~ ( p19 @ Y )
& ~ ( p18 @ Y ) )
| ( ( p19 @ Y )
& ( p20 @ Y ) )
| ( ~ ( p20 @ Y )
& ~ ( p19 @ Y ) )
| ( ( p20 @ Y )
& ( p21 @ Y ) )
| ( ~ ( p21 @ Y )
& ~ ( p20 @ Y ) )
| ( ( p21 @ Y )
& ( p22 @ Y ) )
| ( ~ ( p22 @ Y )
& ~ ( p21 @ Y ) )
| ( ( p22 @ Y )
& ( p23 @ Y ) )
| ( ~ ( p23 @ Y )
& ~ ( p22 @ Y ) )
| ( ( p23 @ Y )
& ( p24 @ Y ) )
| ( ~ ( p24 @ Y )
& ~ ( p23 @ Y ) )
| ( ( p24 @ Y )
& ( p25 @ Y ) )
| ( ~ ( p25 @ Y )
& ~ ( p24 @ Y ) )
| ( ( p25 @ Y )
& ( p26 @ Y ) )
| ( ~ ( p26 @ Y )
& ~ ( p25 @ Y ) )
| ( ( p26 @ Y )
& ( p27 @ Y ) )
| ( ~ ( p27 @ Y )
& ~ ( p26 @ Y ) )
| ( ( p27 @ Y )
& ( p28 @ Y ) )
| ( ~ ( p28 @ Y )
& ~ ( p27 @ Y ) )
| ( ( p28 @ Y )
& ( p29 @ Y ) )
| ( ~ ( p29 @ Y )
& ~ ( p28 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [X: $i] :
~ ( ! [Y: $i] :
( ! [X: $i] :
( ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( p30 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p3 @ X )
& ~ ( p2 @ X ) )
| ( ~ ( p3 @ X )
& ( p2 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p4 @ Y )
& ~ ( p3 @ Y ) )
| ( ~ ( p4 @ Y )
& ( p3 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p5 @ X )
& ~ ( p4 @ X ) )
| ( ~ ( p5 @ X )
& ( p4 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p6 @ Y )
& ~ ( p5 @ Y ) )
| ( ~ ( p6 @ Y )
& ( p5 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p7 @ X )
& ~ ( p6 @ X ) )
| ( ~ ( p7 @ X )
& ( p6 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p8 @ Y )
& ~ ( p7 @ Y ) )
| ( ~ ( p8 @ Y )
& ( p7 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p9 @ X )
& ~ ( p8 @ X ) )
| ( ~ ( p9 @ X )
& ( p8 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p10 @ Y )
& ~ ( p9 @ Y ) )
| ( ~ ( p10 @ Y )
& ( p9 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p11 @ X )
& ~ ( p10 @ X ) )
| ( ~ ( p11 @ X )
& ( p10 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p12 @ Y )
& ~ ( p11 @ Y ) )
| ( ~ ( p12 @ Y )
& ( p11 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p13 @ X )
& ~ ( p12 @ X ) )
| ( ~ ( p13 @ X )
& ( p12 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p14 @ Y )
& ~ ( p13 @ Y ) )
| ( ~ ( p14 @ Y )
& ( p13 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p15 @ X )
& ~ ( p14 @ X ) )
| ( ~ ( p15 @ X )
& ( p14 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p16 @ Y )
& ~ ( p15 @ Y ) )
| ( ~ ( p16 @ Y )
& ( p15 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p17 @ X )
& ~ ( p16 @ X ) )
| ( ~ ( p17 @ X )
& ( p16 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p18 @ Y )
& ~ ( p17 @ Y ) )
| ( ~ ( p18 @ Y )
& ( p17 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p19 @ X )
& ~ ( p18 @ X ) )
| ( ~ ( p19 @ X )
& ( p18 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p20 @ Y )
& ~ ( p19 @ Y ) )
| ( ~ ( p20 @ Y )
& ( p19 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p21 @ X )
& ~ ( p20 @ X ) )
| ( ~ ( p21 @ X )
& ( p20 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p22 @ Y )
& ~ ( p21 @ Y ) )
| ( ~ ( p22 @ Y )
& ( p21 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p23 @ X )
& ~ ( p22 @ X ) )
| ( ~ ( p23 @ X )
& ( p22 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p24 @ Y )
& ~ ( p23 @ Y ) )
| ( ~ ( p24 @ Y )
& ( p23 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p25 @ X )
& ~ ( p24 @ X ) )
| ( ~ ( p25 @ X )
& ( p24 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p26 @ Y )
& ~ ( p25 @ Y ) )
| ( ~ ( p26 @ Y )
& ( p25 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p27 @ X )
& ~ ( p26 @ X ) )
| ( ~ ( p27 @ X )
& ( p26 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( ( ( p28 @ Y )
& ~ ( p27 @ Y ) )
| ( ~ ( p28 @ Y )
& ( p27 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( ( ( p29 @ X )
& ~ ( p28 @ X ) )
| ( ~ ( p29 @ X )
& ( p28 @ X ) ) )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
~ ( r1 @ Y @ X )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ( ( p2 @ Y )
& ~ ( p1 @ Y ) )
| ( ~ ( p2 @ Y )
& ( p1 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ( p30 @ Y )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ( ( p1 @ Y )
& ( p2 @ Y ) )
| ( ~ ( p2 @ Y )
& ~ ( p1 @ Y ) )
| ( ( p2 @ Y )
& ( p3 @ Y ) )
| ( ~ ( p3 @ Y )
& ~ ( p2 @ Y ) )
| ( ( p3 @ Y )
& ( p4 @ Y ) )
| ( ~ ( p4 @ Y )
& ~ ( p3 @ Y ) )
| ( ( p4 @ Y )
& ( p5 @ Y ) )
| ( ~ ( p5 @ Y )
& ~ ( p4 @ Y ) )
| ( ( p5 @ Y )
& ( p6 @ Y ) )
| ( ~ ( p6 @ Y )
& ~ ( p5 @ Y ) )
| ( ( p6 @ Y )
& ( p7 @ Y ) )
| ( ~ ( p7 @ Y )
& ~ ( p6 @ Y ) )
| ( ( p7 @ Y )
& ( p8 @ Y ) )
| ( ~ ( p8 @ Y )
& ~ ( p7 @ Y ) )
| ( ( p8 @ Y )
& ( p9 @ Y ) )
| ( ~ ( p9 @ Y )
& ~ ( p8 @ Y ) )
| ( ( p9 @ Y )
& ( p10 @ Y ) )
| ( ~ ( p10 @ Y )
& ~ ( p9 @ Y ) )
| ( ( p10 @ Y )
& ( p11 @ Y ) )
| ( ~ ( p11 @ Y )
& ~ ( p10 @ Y ) )
| ( ( p11 @ Y )
& ( p12 @ Y ) )
| ( ~ ( p12 @ Y )
& ~ ( p11 @ Y ) )
| ( ( p12 @ Y )
& ( p13 @ Y ) )
| ( ~ ( p13 @ Y )
& ~ ( p12 @ Y ) )
| ( ( p13 @ Y )
& ( p14 @ Y ) )
| ( ~ ( p14 @ Y )
& ~ ( p13 @ Y ) )
| ( ( p14 @ Y )
& ( p15 @ Y ) )
| ( ~ ( p15 @ Y )
& ~ ( p14 @ Y ) )
| ( ( p15 @ Y )
& ( p16 @ Y ) )
| ( ~ ( p16 @ Y )
& ~ ( p15 @ Y ) )
| ( ( p16 @ Y )
& ( p17 @ Y ) )
| ( ~ ( p17 @ Y )
& ~ ( p16 @ Y ) )
| ( ( p17 @ Y )
& ( p18 @ Y ) )
| ( ~ ( p18 @ Y )
& ~ ( p17 @ Y ) )
| ( ( p18 @ Y )
& ( p19 @ Y ) )
| ( ~ ( p19 @ Y )
& ~ ( p18 @ Y ) )
| ( ( p19 @ Y )
& ( p20 @ Y ) )
| ( ~ ( p20 @ Y )
& ~ ( p19 @ Y ) )
| ( ( p20 @ Y )
& ( p21 @ Y ) )
| ( ~ ( p21 @ Y )
& ~ ( p20 @ Y ) )
| ( ( p21 @ Y )
& ( p22 @ Y ) )
| ( ~ ( p22 @ Y )
& ~ ( p21 @ Y ) )
| ( ( p22 @ Y )
& ( p23 @ Y ) )
| ( ~ ( p23 @ Y )
& ~ ( p22 @ Y ) )
| ( ( p23 @ Y )
& ( p24 @ Y ) )
| ( ~ ( p24 @ Y )
& ~ ( p23 @ Y ) )
| ( ( p24 @ Y )
& ( p25 @ Y ) )
| ( ~ ( p25 @ Y )
& ~ ( p24 @ Y ) )
| ( ( p25 @ Y )
& ( p26 @ Y ) )
| ( ~ ( p26 @ Y )
& ~ ( p25 @ Y ) )
| ( ( p26 @ Y )
& ( p27 @ Y ) )
| ( ~ ( p27 @ Y )
& ~ ( p26 @ Y ) )
| ( ( p27 @ Y )
& ( p28 @ Y ) )
| ( ~ ( p28 @ Y )
& ~ ( p27 @ Y ) )
| ( ( p28 @ Y )
& ( p29 @ Y ) )
| ( ~ ( p29 @ Y )
& ~ ( p28 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__33 @ X0 ) )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl401,plain,
r1 @ sk__3 @ ( sk__33 @ sk__3 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl88]) ).
thf(zip_derived_cl143,plain,
! [X0: $i] :
( ( p1 @ ( sk__33 @ X0 ) )
| ( p2 @ ( sk__33 @ X0 ) )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X28: $i] :
( ~ ( r1 @ X0 @ X28 )
| ( p2 @ X28 )
| ~ ( p1 @ X28 )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl156,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__3 @ X1 )
| ( p2 @ ( sk__33 @ X1 ) )
| ~ ( r1 @ sk__3 @ X0 )
| ( p2 @ ( sk__33 @ X1 ) )
| ~ ( r1 @ X0 @ ( sk__33 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl143,zip_derived_cl84]) ).
thf(zip_derived_cl1337,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 @ ( sk__33 @ X1 ) )
| ~ ( r1 @ sk__3 @ X0 )
| ( p2 @ ( sk__33 @ X1 ) )
| ~ ( r1 @ sk__3 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl156]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X28: $i] :
( ~ ( r1 @ X0 @ X28 )
| ~ ( p2 @ X28 )
| ( p1 @ X28 )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl144,plain,
! [X0: $i] :
( ~ ( p2 @ ( sk__33 @ X0 ) )
| ~ ( p1 @ ( sk__33 @ X0 ) )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl155,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__3 @ X1 )
| ~ ( p2 @ ( sk__33 @ X0 ) )
| ~ ( r1 @ X1 @ ( sk__33 @ X0 ) )
| ~ ( r1 @ sk__3 @ X0 )
| ~ ( p2 @ ( sk__33 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl85,zip_derived_cl144]) ).
thf(zip_derived_cl1312,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__3 @ X0 )
| ~ ( r1 @ X1 @ ( sk__33 @ X0 ) )
| ~ ( p2 @ ( sk__33 @ X0 ) )
| ~ ( r1 @ sk__3 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl1338,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__3 @ X1 )
| ~ ( r1 @ sk__3 @ X0 )
| ~ ( r1 @ X0 @ ( sk__33 @ X1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1337,zip_derived_cl1312]) ).
thf(zip_derived_cl1344,plain,
( ~ ( r1 @ sk__3 @ sk__3 )
| ~ ( r1 @ sk__3 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl401,zip_derived_cl1338]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl1355,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1344,zip_derived_cl0,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+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.DIlf8pjiKx true
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 16:24:44 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Running portfolio for 300 s
% 0.10/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Number of cores: 8
% 0.10/0.37 % Python version: Python 3.12.3
% 0.10/0.37 % Running in FO mode
% 0.44/0.65 % Total configuration time : 435
% 0.44/0.65 % Estimated wc time : 1092
% 0.44/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 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/fo3_bce.sh running for 75s
% 0.48/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.89/1.10 % Solved by fo/fo3_bce.sh.
% 2.89/1.10 % BCE start: 150
% 2.89/1.10 % BCE eliminated: 2
% 2.89/1.10 % PE start: 148
% 2.89/1.10 logic: neq
% 2.89/1.10 % PE eliminated: -48
% 2.89/1.10 % done 357 iterations in 0.271s
% 2.89/1.10 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.89/1.10 % SZS output start Refutation
% See solution above
% 2.89/1.11
% 2.89/1.11
% 2.89/1.11 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 2.89/1.11 % Terminating...
% 1.74/1.16 % Runner terminated.
% 1.74/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------