TSTP Solution File: LCL686+1.005 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL686+1.005 : 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.dTiv4PR9Qi true
% Computer : n007.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 09:01:33 EDT 2023
% Result : Theorem 1.41s 0.85s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 37 ( 6 unt; 18 typ; 0 def)
% Number of atoms : 323 ( 0 equ; 0 cnn)
% Maximal formula atoms : 139 ( 17 avg)
% Number of connectives : 999 ( 262 ~; 200 |; 104 &; 433 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 55 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 18 usr; 2 con; 0-2 aty)
% Number of variables : 87 ( 0 ^; 85 !; 2 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
thf(p1_type,type,
p1: $i > $o ).
thf(p14_type,type,
p14: $i > $o ).
thf(p13_type,type,
p13: $i > $o ).
thf(p9_type,type,
p9: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p8_type,type,
p8: $i > $o ).
thf(p15_type,type,
p15: $i > $o ).
thf(sk__18_type,type,
sk__18: $i > $i ).
thf(p4_type,type,
p4: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(p12_type,type,
p12: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p7_type,type,
p7: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(p10_type,type,
p10: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
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 ) )
| ~ ( p15 @ 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] :
~ ( 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] :
( ( p15 @ 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 ) )
| ~ ( 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 ) )
| ~ ( p15 @ 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] :
~ ( 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] :
( ( p15 @ 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 ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__18 @ X0 ) )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196,plain,
r1 @ sk__3 @ ( sk__18 @ sk__3 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl43]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( p1 @ ( sk__18 @ X0 ) )
| ( p2 @ ( sk__18 @ X0 ) )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X13: $i] :
( ~ ( r1 @ X0 @ X13 )
| ( p2 @ X13 )
| ~ ( p1 @ X13 )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__3 @ X1 )
| ( p2 @ ( sk__18 @ X1 ) )
| ~ ( r1 @ sk__3 @ X0 )
| ( p2 @ ( sk__18 @ X1 ) )
| ~ ( r1 @ X0 @ ( sk__18 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl39]) ).
thf(zip_derived_cl508,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 @ ( sk__18 @ X1 ) )
| ~ ( r1 @ sk__3 @ X0 )
| ( p2 @ ( sk__18 @ X1 ) )
| ~ ( r1 @ sk__3 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X13: $i] :
( ~ ( r1 @ X0 @ X13 )
| ~ ( p2 @ X13 )
| ( p1 @ X13 )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl69,plain,
! [X0: $i] :
( ~ ( p2 @ ( sk__18 @ X0 ) )
| ~ ( p1 @ ( sk__18 @ X0 ) )
| ~ ( r1 @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__3 @ X1 )
| ~ ( p2 @ ( sk__18 @ X0 ) )
| ~ ( r1 @ X1 @ ( sk__18 @ X0 ) )
| ~ ( r1 @ sk__3 @ X0 )
| ~ ( p2 @ ( sk__18 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl69]) ).
thf(zip_derived_cl491,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__3 @ X0 )
| ~ ( r1 @ X1 @ ( sk__18 @ X0 ) )
| ~ ( p2 @ ( sk__18 @ X0 ) )
| ~ ( r1 @ sk__3 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl509,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__3 @ X1 )
| ~ ( r1 @ sk__3 @ X0 )
| ~ ( r1 @ X0 @ ( sk__18 @ X1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl508,zip_derived_cl491]) ).
thf(zip_derived_cl513,plain,
( ~ ( r1 @ sk__3 @ sk__3 )
| ~ ( r1 @ sk__3 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl509]) ).
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_cl518,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl513,zip_derived_cl0,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL686+1.005 : 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.dTiv4PR9Qi true
% 0.14/0.34 % Computer : n007.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 : Fri Aug 25 05:14:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.34/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.41/0.85 % Solved by fo/fo3_bce.sh.
% 1.41/0.85 % BCE start: 75
% 1.41/0.85 % BCE eliminated: 2
% 1.41/0.85 % PE start: 73
% 1.41/0.85 logic: neq
% 1.41/0.85 % PE eliminated: -16
% 1.41/0.85 % done 192 iterations in 0.069s
% 1.41/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.41/0.85 % SZS output start Refutation
% See solution above
% 1.41/0.85
% 1.41/0.85
% 1.41/0.85 % Terminating...
% 1.55/0.94 % Runner terminated.
% 1.71/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------