TSTP Solution File: NUM816^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM816^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.V0EuOjiaZZ true
% Computer : n002.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 12:44:19 EDT 2023
% Result : Theorem 0.20s 0.77s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 10 unt; 5 typ; 0 def)
% Number of atoms : 47 ( 36 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 159 ( 31 ~; 10 |; 8 &; 94 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 10 ^; 27 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(c0_type,type,
c0: $i ).
thf(cEVEN1_type,type,
cEVEN1: $i > $o ).
thf(cODD1_type,type,
cODD1: $i > $o ).
thf(cS_type,type,
cS: $i > $i ).
thf(sk__2_type,type,
sk__2: ( $i > $o ) > $i ).
thf(cODD1_def,axiom,
( cODD1
= ( ^ [Xn: $i] :
~ ( cEVEN1 @ Xn ) ) ) ).
thf(cEVEN1_def,axiom,
( cEVEN1
= ( ^ [Xn: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ c0 )
& ! [Xx: $i] :
( ( Xp @ Xx )
=> ( Xp @ ( cS @ ( cS @ Xx ) ) ) ) )
=> ( Xp @ Xn ) ) ) ) ).
thf('0',plain,
( cEVEN1
= ( ^ [Xn: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ c0 )
& ! [Xx: $i] :
( ( Xp @ Xx )
=> ( Xp @ ( cS @ ( cS @ Xx ) ) ) ) )
=> ( Xp @ Xn ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cEVEN1_def]) ).
thf('1',plain,
( cEVEN1
= ( ^ [V_1: $i] :
! [X4: $i > $o] :
( ( ( X4 @ c0 )
& ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( cS @ ( cS @ X6 ) ) ) ) )
=> ( X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf('2',plain,
( cODD1
= ( ^ [Xn: $i] :
~ ( cEVEN1 @ Xn ) ) ),
inference(simplify_rw_rule,[status(thm)],[cODD1_def,'1']) ).
thf('3',plain,
( cODD1
= ( ^ [V_1: $i] :
~ ( cEVEN1 @ V_1 ) ) ),
define([status(thm)]) ).
thf(cTHM406,conjecture,
( ( ! [Xu: $i] :
( ( cS @ Xu )
!= c0 )
& ! [Xv: $i,Xw: $i] :
( ( ( cS @ Xv )
= ( cS @ Xw ) )
=> ( Xv = Xw ) ) )
=> ( cODD1 @ ( cS @ c0 ) ) ) ).
thf(zf_stmt_0,conjecture,
( ( ! [X4: $i] :
( ( cS @ X4 )
!= c0 )
& ! [X6: $i,X8: $i] :
( ( ( cS @ X6 )
= ( cS @ X8 ) )
=> ( X6 = X8 ) ) )
=> ~ ! [X10: $i > $o] :
( ( ( X10 @ c0 )
& ! [X12: $i] :
( ( X10 @ X12 )
=> ( X10 @ ( cS @ ( cS @ X12 ) ) ) ) )
=> ( X10 @ ( cS @ c0 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ( ! [X4: $i] :
( ( cS @ X4 )
!= c0 )
& ! [X6: $i,X8: $i] :
( ( ( cS @ X6 )
= ( cS @ X8 ) )
=> ( X6 = X8 ) ) )
=> ~ ! [X10: $i > $o] :
( ( ( X10 @ c0 )
& ! [X12: $i] :
( ( X10 @ X12 )
=> ( X10 @ ( cS @ ( cS @ X12 ) ) ) ) )
=> ( X10 @ ( cS @ c0 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X3: $i > $o] :
( ( X3 @ ( cS @ c0 ) )
| ~ ( X3 @ ( cS @ ( cS @ ( sk__2 @ X3 ) ) ) )
| ~ ( X3 @ c0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl107,plain,
( ( ^ [Y0: $i] :
( ( cS @ c0 )
!= Y0 )
@ ( cS @ c0 ) )
| ~ ( ^ [Y0: $i] :
( ( cS @ c0 )
!= Y0 )
@ ( cS
@ ( cS
@ ( sk__2
@ ^ [Y0: $i] :
( ( cS @ c0 )
!= Y0 ) ) ) ) )
| ~ ( ^ [Y0: $i] :
( ( cS @ c0 )
!= Y0 )
@ c0 ) ),
inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl150,plain,
( ( ( cS @ c0 )
!= ( cS @ c0 ) )
| ( ( cS @ c0 )
!= ( cS
@ ( cS
@ ( sk__2
@ ( $i
!= ( cS @ c0 ) ) ) ) ) )
| ( ( cS @ c0 )
!= c0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl151,plain,
( ( ( cS @ c0 )
!= ( cS
@ ( cS
@ ( sk__2
@ ( $i
!= ( cS @ c0 ) ) ) ) ) )
| ( ( cS @ c0 )
!= c0 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl150]) ).
thf(zip_derived_cl152,plain,
( ( ( cS @ c0 )
= ( cS
@ ( cS
@ ( sk__2
@ ( $i
!= ( cS @ c0 ) ) ) ) ) )
| ( ( cS @ c0 )
= c0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( cS @ X0 )
!= c0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X1: $i,X2: $i] :
( ( X2 = X1 )
| ( ( cS @ X2 )
!= ( cS @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] :
( ( cS @ X0 )
!= c0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ( X0 != c0 )
| ( ( cS @ ( cS @ X1 ) )
!= ( cS @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl79,plain,
! [X1: $i] :
( ( cS @ ( cS @ X1 ) )
!= ( cS @ c0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl172,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl152,zip_derived_cl0,zip_derived_cl79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM816^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.V0EuOjiaZZ true
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 09:53:32 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.20/0.64 % Total configuration time : 828
% 0.20/0.64 % Estimated wc time : 1656
% 0.20/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.77 % Solved by lams/40_c.s.sh.
% 0.20/0.77 % done 9 iterations in 0.032s
% 0.20/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.77 % SZS output start Refutation
% See solution above
% 0.20/0.77
% 0.20/0.77
% 0.20/0.77 % Terminating...
% 1.64/0.84 % Runner terminated.
% 1.67/0.85 % Zipperpin 1.5 exiting
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