TSTP Solution File: NUM827^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM827^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mU93kSpgon true
% Computer : n022.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 12:44:21 EDT 2023
% Result : Theorem 12.66s 2.30s
% Output : Refutation 12.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 47 ( 23 unt; 9 typ; 0 def)
% Number of atoms : 90 ( 80 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 381 ( 22 ~; 19 |; 10 &; 319 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 94 ( 27 ^; 67 !; 0 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(n_type,type,
n: $tType ).
thf(cPA_1_type,type,
cPA_1: $o ).
thf(sk__8_type,type,
sk__8: ( n > n ) > ( n > n ) > n ).
thf(cS_type,type,
cS: n > n ).
thf(cPA_IND_EQ_type,type,
cPA_IND_EQ: $o ).
thf(cPA_2_type,type,
cPA_2: $o ).
thf(c_plus_type,type,
c_plus: n > n > n ).
thf(c0_type,type,
c0: n ).
thf(sk__7_type,type,
sk__7: n ).
thf(cPA_IND_EQ_def,axiom,
( cPA_IND_EQ
= ( ! [Xp: n > n,Xq: n > n] :
( ( ( ( Xp @ c0 )
= ( Xq @ c0 ) )
& ! [Xx: n] :
( ( ( Xp @ Xx )
= ( Xq @ Xx ) )
=> ( ( Xp @ ( cS @ Xx ) )
= ( Xq @ ( cS @ Xx ) ) ) ) )
=> ! [Xx: n] :
( ( Xp @ Xx )
= ( Xq @ Xx ) ) ) ) ) ).
thf('0',plain,
( cPA_IND_EQ
= ( ! [X4: n > n,X6: n > n] :
( ( ( ( X4 @ c0 )
= ( X6 @ c0 ) )
& ! [X8: n] :
( ( ( X4 @ X8 )
= ( X6 @ X8 ) )
=> ( ( X4 @ ( cS @ X8 ) )
= ( X6 @ ( cS @ X8 ) ) ) ) )
=> ! [X10: n] :
( ( X4 @ X10 )
= ( X6 @ X10 ) ) ) ) ),
define([status(thm)]) ).
thf(cPA_2_def,axiom,
( cPA_2
= ( ! [Xx: n,Xy: n] :
( ( c_plus @ Xx @ ( cS @ Xy ) )
= ( cS @ ( c_plus @ Xx @ Xy ) ) ) ) ) ).
thf('1',plain,
( cPA_2
= ( ! [X4: n,X6: n] :
( ( c_plus @ X4 @ ( cS @ X6 ) )
= ( cS @ ( c_plus @ X4 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(cPA_1_def,axiom,
( cPA_1
= ( ! [Xx: n] :
( ( c_plus @ Xx @ c0 )
= Xx ) ) ) ).
thf('2',plain,
( cPA_1
= ( ! [X4: n] :
( ( c_plus @ X4 @ c0 )
= X4 ) ) ),
define([status(thm)]) ).
thf(cPA_THM2,conjecture,
( ( cPA_1
& cPA_2
& cPA_IND_EQ )
=> ! [Xx: n] :
( ( c_plus @ Xx @ c0 )
= ( c_plus @ c0 @ Xx ) ) ) ).
thf(zf_stmt_0,conjecture,
( ( ! [X4: n] :
( ( c_plus @ X4 @ c0 )
= X4 )
& ! [X6: n,X8: n] :
( ( c_plus @ X6 @ ( cS @ X8 ) )
= ( cS @ ( c_plus @ X6 @ X8 ) ) )
& ! [X10: n > n,X12: n > n] :
( ( ( ( X10 @ c0 )
= ( X12 @ c0 ) )
& ! [X14: n] :
( ( ( X10 @ X14 )
= ( X12 @ X14 ) )
=> ( ( X10 @ ( cS @ X14 ) )
= ( X12 @ ( cS @ X14 ) ) ) ) )
=> ! [X16: n] :
( ( X10 @ X16 )
= ( X12 @ X16 ) ) ) )
=> ! [X18: n] :
( ( c_plus @ X18 @ c0 )
= ( c_plus @ c0 @ X18 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ( ! [X4: n] :
( ( c_plus @ X4 @ c0 )
= X4 )
& ! [X6: n,X8: n] :
( ( c_plus @ X6 @ ( cS @ X8 ) )
= ( cS @ ( c_plus @ X6 @ X8 ) ) )
& ! [X10: n > n,X12: n > n] :
( ( ( ( X10 @ c0 )
= ( X12 @ c0 ) )
& ! [X14: n] :
( ( ( X10 @ X14 )
= ( X12 @ X14 ) )
=> ( ( X10 @ ( cS @ X14 ) )
= ( X12 @ ( cS @ X14 ) ) ) ) )
=> ! [X16: n] :
( ( X10 @ X16 )
= ( X12 @ X16 ) ) ) )
=> ! [X18: n] :
( ( c_plus @ X18 @ c0 )
= ( c_plus @ c0 @ X18 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
( ( c_plus @ sk__7 @ c0 )
!= ( c_plus @ c0 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
( sk__7
!= ( c_plus @ c0 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X3: n > n,X4: n,X5: n > n] :
( ( ( X5 @ X4 )
= ( X3 @ X4 ) )
| ( ( X5 @ ( sk__8 @ X3 @ X5 ) )
= ( X3 @ ( sk__8 @ X3 @ X5 ) ) )
| ( ( X5 @ c0 )
!= ( X3 @ c0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X0: n > n,X1: n > n] :
( ( ( X0 @ c0 )
!= ( X1 @ c0 ) )
| ( ( X0 @ ( sk__8 @ X1 @ X0 ) )
= ( X1 @ ( sk__8 @ X1 @ X0 ) ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl0_001,plain,
! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: n > n] :
( ( ( X0
@ ( sk__8 @ X0
@ ^ [Y0: n] :
( c_plus
@ ( ^ [Y1: n] : Y1
@ Y0 )
@ ( ^ [Y1: n] : c0
@ Y0 ) ) ) )
= ( sk__8 @ X0
@ ^ [Y0: n] : ( c_plus @ Y0 @ c0 ) ) )
| ( ( ^ [Y0: n] :
( c_plus
@ ( ^ [Y1: n] : Y1
@ Y0 )
@ ( ^ [Y1: n] : c0
@ Y0 ) )
@ c0 )
!= ( X0 @ c0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl39,plain,
! [X0: n > n] :
( ( ( X0
@ ( sk__8 @ X0
@ ^ [Y0: n] : ( c_plus @ Y0 @ c0 ) ) )
= ( sk__8 @ X0
@ ^ [Y0: n] : ( c_plus @ Y0 @ c0 ) ) )
| ( ( c_plus @ c0 @ c0 )
!= ( X0 @ c0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl0_002,plain,
! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl40,plain,
! [X0: n > n] :
( ( ( X0
@ ( sk__8 @ X0
@ ^ [Y0: n] : ( c_plus @ Y0 @ c0 ) ) )
= ( sk__8 @ X0
@ ^ [Y0: n] : ( c_plus @ Y0 @ c0 ) ) )
| ( c0
!= ( X0 @ c0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl0]) ).
thf(zip_derived_cl1,plain,
! [X1: n,X2: n] :
( ( c_plus @ X1 @ ( cS @ X2 ) )
= ( cS @ ( c_plus @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X3: n > n,X4: n,X5: n > n] :
( ( ( X5 @ X4 )
= ( X3 @ X4 ) )
| ( ( X5 @ ( cS @ ( sk__8 @ X3 @ X5 ) ) )
!= ( X3 @ ( cS @ ( sk__8 @ X3 @ X5 ) ) ) )
| ( ( X5 @ c0 )
!= ( X3 @ c0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl79,plain,
! [X0: n > n,X1: n,X2: n] :
( ( ( X0 @ ( cS @ ( sk__8 @ ( c_plus @ X1 ) @ X0 ) ) )
!= ( cS @ ( c_plus @ X1 @ ( sk__8 @ ( c_plus @ X1 ) @ X0 ) ) ) )
| ( ( X0 @ c0 )
!= ( c_plus @ X1 @ c0 ) )
| ( ( X0 @ X2 )
= ( c_plus @ X1 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl0_003,plain,
! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl129,plain,
! [X0: n > n,X1: n,X2: n] :
( ( ( X0 @ ( cS @ ( sk__8 @ ( c_plus @ X1 ) @ X0 ) ) )
!= ( cS @ ( c_plus @ X1 @ ( sk__8 @ ( c_plus @ X1 ) @ X0 ) ) ) )
| ( ( X0 @ c0 )
!= X1 )
| ( ( X0 @ X2 )
= ( c_plus @ X1 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl0]) ).
thf(zip_derived_cl130,plain,
! [X0: n > n,X2: n] :
( ( ( X0 @ X2 )
= ( c_plus @ ( X0 @ c0 ) @ X2 ) )
| ( ( X0 @ ( cS @ ( sk__8 @ ( c_plus @ ( X0 @ c0 ) ) @ X0 ) ) )
!= ( cS @ ( c_plus @ ( X0 @ c0 ) @ ( sk__8 @ ( c_plus @ ( X0 @ c0 ) ) @ X0 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl4634,plain,
! [X0: n] :
( ( ( ^ [Y0: n] : ( c_plus @ Y0 @ c0 )
@ ( cS
@ ( sk__8
@ ( c_plus
@ ( ^ [Y0: n] : ( c_plus @ Y0 @ c0 )
@ c0 ) )
@ ^ [Y0: n] : ( c_plus @ Y0 @ c0 ) ) ) )
!= ( cS
@ ( sk__8
@ ^ [Y0: n] :
( c_plus
@ ( ^ [Y1: n] : ( c_plus @ c0 @ c0 )
@ Y0 )
@ ( ^ [Y1: n] : Y1
@ Y0 ) )
@ ^ [Y0: n] : ( c_plus @ Y0 @ c0 ) ) ) )
| ( c0
!= ( ^ [Y0: n] :
( c_plus
@ ( ^ [Y1: n] : ( c_plus @ c0 @ c0 )
@ Y0 )
@ ( ^ [Y1: n] : Y1
@ Y0 ) )
@ c0 ) )
| ( ( ^ [Y0: n] : ( c_plus @ Y0 @ c0 )
@ X0 )
= ( c_plus
@ ( ^ [Y0: n] : ( c_plus @ Y0 @ c0 )
@ c0 )
@ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl130]) ).
thf(zip_derived_cl4667,plain,
! [X0: n] :
( ( ( c_plus
@ ( cS
@ ( sk__8 @ ( c_plus @ ( c_plus @ c0 @ c0 ) )
@ ^ [Y0: n] : ( c_plus @ Y0 @ c0 ) ) )
@ c0 )
!= ( cS
@ ( sk__8 @ ( c_plus @ ( c_plus @ c0 @ c0 ) )
@ ^ [Y0: n] : ( c_plus @ Y0 @ c0 ) ) ) )
| ( c0
!= ( c_plus @ ( c_plus @ c0 @ c0 ) @ c0 ) )
| ( ( c_plus @ X0 @ c0 )
= ( c_plus @ ( c_plus @ c0 @ c0 ) @ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl4634]) ).
thf(zip_derived_cl0_004,plain,
! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_005,plain,
! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_006,plain,
! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_007,plain,
! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_008,plain,
! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_009,plain,
! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_010,plain,
! [X0: n] :
( ( c_plus @ X0 @ c0 )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4668,plain,
! [X0: n] :
( ( ( cS
@ ( sk__8 @ ( c_plus @ c0 )
@ ^ [Y0: n] : ( c_plus @ Y0 @ c0 ) ) )
!= ( cS
@ ( sk__8 @ ( c_plus @ c0 )
@ ^ [Y0: n] : ( c_plus @ Y0 @ c0 ) ) ) )
| ( c0 != c0 )
| ( X0
= ( c_plus @ c0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4667,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl4669,plain,
! [X0: n] :
( X0
= ( c_plus @ c0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4668]) ).
thf(zip_derived_cl4727,plain,
sk__7 != sk__7,
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl4669]) ).
thf(zip_derived_cl4728,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl4727]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM827^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mU93kSpgon true
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 14:58:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 12.66/2.30 % Solved by lams/40_noforms.sh.
% 12.66/2.30 % done 259 iterations in 1.491s
% 12.66/2.30 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.66/2.30 % SZS output start Refutation
% See solution above
% 12.66/2.30
% 12.66/2.30
% 12.66/2.30 % Terminating...
% 13.13/2.42 % Runner terminated.
% 13.13/2.43 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------