TSTP Solution File: SWV487+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV487+1 : 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.UHWGduD6t4 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 : Fri Sep 1 00:10:11 EDT 2023
% Result : Theorem 7.81s 1.75s
% Output : Refutation 7.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 65 ( 23 unt; 12 typ; 0 def)
% Number of atoms : 134 ( 31 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 423 ( 58 ~; 56 |; 14 &; 284 @)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 55 ( 0 ^; 54 !; 1 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(int_one_type,type,
int_one: $i ).
thf(lu_type,type,
lu: $i > $i > $i ).
thf(int_less_type,type,
int_less: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(real_zero_type,type,
real_zero: $i ).
thf(int_leq_type,type,
int_leq: $i > $i > $o ).
thf(n_type,type,
n: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(a_type,type,
a: $i > $i > $i ).
thf(plus_type,type,
plus: $i > $i > $i ).
thf(int_zero_type,type,
int_zero: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(ut,conjecture,
! [I: $i,J: $i] :
( ( ( int_leq @ int_one @ J )
& ( int_less @ J @ I )
& ( int_leq @ I @ n ) )
=> ( ( a @ I @ J )
= real_zero ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [I: $i,J: $i] :
( ( ( int_leq @ int_one @ J )
& ( int_less @ J @ I )
& ( int_leq @ I @ n ) )
=> ( ( a @ I @ J )
= real_zero ) ),
inference('cnf.neg',[status(esa)],[ut]) ).
thf(zip_derived_cl19,plain,
int_less @ sk__2 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(int_leq,axiom,
! [I: $i,J: $i] :
( ( int_leq @ I @ J )
<=> ( ( int_less @ I @ J )
| ( I = J ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( int_leq @ X0 @ X1 )
| ~ ( int_less @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[int_leq]) ).
thf(zip_derived_cl27,plain,
int_leq @ sk__2 @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1]) ).
thf(zip_derived_cl21,plain,
int_leq @ sk__1 @ n,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( int_less @ X1 @ X0 )
| ~ ( int_leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[int_leq]) ).
thf(zip_derived_cl23,plain,
( ( sk__1 = n )
| ( int_less @ sk__1 @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl0]) ).
thf(zip_derived_cl19_001,plain,
int_less @ sk__2 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(int_less_transitive,axiom,
! [I: $i,J: $i,K: $i] :
( ( ( int_less @ I @ J )
& ( int_less @ J @ K ) )
=> ( int_less @ I @ K ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( int_less @ X0 @ X1 )
| ~ ( int_less @ X1 @ X2 )
| ( int_less @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[int_less_transitive]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( ~ ( int_less @ sk__1 @ X0 )
| ( int_less @ sk__2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl3]) ).
thf(zip_derived_cl53,plain,
( ( sk__1 = n )
| ( int_less @ sk__2 @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl34]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i] :
( ( int_leq @ X0 @ X1 )
| ~ ( int_less @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[int_leq]) ).
thf(zip_derived_cl62,plain,
( ( sk__1 = n )
| ( int_leq @ sk__2 @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl1]) ).
thf(zip_derived_cl20,plain,
int_leq @ int_one @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_003,plain,
int_less @ sk__2 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(plus_and_inverse,axiom,
! [I: $i,J: $i] :
( ( int_less @ I @ J )
<=> ? [K: $i] :
( ( int_less @ int_zero @ K )
& ( ( plus @ I @ K )
= J ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( ( plus @ X1 @ ( sk_ @ X0 @ X1 ) )
= X0 )
| ~ ( int_less @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[plus_and_inverse]) ).
thf(zip_derived_cl136,plain,
( ( plus @ sk__2 @ ( sk_ @ sk__1 @ sk__2 ) )
= sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl11]) ).
thf(zip_derived_cl21_004,plain,
int_leq @ sk__1 @ n,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(qiu,axiom,
! [I: $i,J: $i] :
( ( ( int_leq @ int_one @ I )
& ( int_leq @ I @ n )
& ( int_leq @ int_one @ J )
& ( int_leq @ J @ n ) )
=> ( ! [C: $i] :
( ( ( int_less @ int_zero @ C )
& ( I
= ( plus @ J @ C ) ) )
=> ! [K: $i] :
( ( ( int_leq @ int_one @ K )
& ( int_leq @ K @ J ) )
=> ( ( a @ ( plus @ K @ C ) @ K )
= real_zero ) ) )
& ! [C: $i] :
( ( ( int_leq @ int_zero @ C )
& ( J
= ( plus @ I @ C ) ) )
=> ! [K: $i] :
( ( ( int_leq @ int_one @ K )
& ( int_leq @ K @ I ) )
=> ( ( a @ K @ ( plus @ K @ C ) )
= ( lu @ K @ ( plus @ K @ C ) ) ) ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ n )
| ~ ( int_leq @ int_one @ X2 )
| ~ ( int_leq @ X2 @ X1 )
| ( ( a @ ( plus @ X2 @ X3 ) @ X2 )
= real_zero )
| ( X0
!= ( plus @ X1 @ X3 ) )
| ~ ( int_less @ int_zero @ X3 ) ),
inference(cnf,[status(esa)],[qiu]) ).
thf(zip_derived_cl238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( int_leq @ int_one @ sk__1 )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ X0 )
| ( ( a @ ( plus @ X1 @ X2 ) @ X1 )
= real_zero )
| ( sk__1
!= ( plus @ X0 @ X2 ) )
| ~ ( int_less @ int_zero @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl17]) ).
thf(zip_derived_cl19_005,plain,
int_less @ sk__2 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20_006,plain,
int_leq @ int_one @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(one_successor_of_zero,axiom,
! [I: $i] :
( ( int_less @ int_zero @ I )
<=> ( int_leq @ int_one @ I ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( int_less @ int_zero @ X0 )
| ~ ( int_leq @ int_one @ X0 ) ),
inference(cnf,[status(esa)],[one_successor_of_zero]) ).
thf(zip_derived_cl42,plain,
int_less @ int_zero @ sk__2,
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl14]) ).
thf(zip_derived_cl3_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( int_less @ X0 @ X1 )
| ~ ( int_less @ X1 @ X2 )
| ( int_less @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[int_less_transitive]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ~ ( int_less @ sk__2 @ X0 )
| ( int_less @ int_zero @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl3]) ).
thf(zip_derived_cl55,plain,
int_less @ int_zero @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl44]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( int_leq @ int_one @ X0 )
| ~ ( int_less @ int_zero @ X0 ) ),
inference(cnf,[status(esa)],[one_successor_of_zero]) ).
thf(zip_derived_cl58,plain,
int_leq @ int_one @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl13]) ).
thf(zip_derived_cl246,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ X0 )
| ( ( a @ ( plus @ X1 @ X2 ) @ X1 )
= real_zero )
| ( sk__1
!= ( plus @ X0 @ X2 ) )
| ~ ( int_less @ int_zero @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl58]) ).
thf(zip_derived_cl7485,plain,
! [X0: $i] :
( ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ sk__2 )
| ~ ( int_leq @ sk__2 @ X0 )
| ( ( a @ sk__1 @ sk__2 )
= real_zero )
| ( sk__1
!= ( plus @ X0 @ ( sk_ @ sk__1 @ sk__2 ) ) )
| ~ ( int_less @ int_zero @ ( sk_ @ sk__1 @ sk__2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl136,zip_derived_cl246]) ).
thf(zip_derived_cl20_008,plain,
int_leq @ int_one @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_009,plain,
int_less @ sk__2 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( int_less @ int_zero @ ( sk_ @ X0 @ X1 ) )
| ~ ( int_less @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[plus_and_inverse]) ).
thf(zip_derived_cl109,plain,
int_less @ int_zero @ ( sk_ @ sk__1 @ sk__2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl10]) ).
thf(zip_derived_cl7513,plain,
! [X0: $i] :
( ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ sk__2 @ X0 )
| ( ( a @ sk__1 @ sk__2 )
= real_zero )
| ( sk__1
!= ( plus @ X0 @ ( sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7485,zip_derived_cl20,zip_derived_cl109]) ).
thf(zip_derived_cl18,plain,
( ( a @ sk__1 @ sk__2 )
!= real_zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7514,plain,
! [X0: $i] :
( ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ sk__2 @ X0 )
| ( sk__1
!= ( plus @ X0 @ ( sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7513,zip_derived_cl18]) ).
thf(zip_derived_cl7565,plain,
( ~ ( int_leq @ sk__2 @ n )
| ~ ( int_leq @ sk__2 @ sk__2 )
| ( sk__1
!= ( plus @ sk__2 @ ( sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl7514]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( int_leq @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[int_leq]) ).
thf(zip_derived_cl25,plain,
! [X0: $i] : ( int_leq @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl136_010,plain,
( ( plus @ sk__2 @ ( sk_ @ sk__1 @ sk__2 ) )
= sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl11]) ).
thf(zip_derived_cl7589,plain,
( ~ ( int_leq @ sk__2 @ n )
| ( sk__1 != sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl7565,zip_derived_cl25,zip_derived_cl136]) ).
thf(zip_derived_cl7590,plain,
~ ( int_leq @ sk__2 @ n ),
inference(simplify,[status(thm)],[zip_derived_cl7589]) ).
thf(zip_derived_cl7596,plain,
sk__1 = n,
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl7590]) ).
thf(zip_derived_cl7590_011,plain,
~ ( int_leq @ sk__2 @ n ),
inference(simplify,[status(thm)],[zip_derived_cl7589]) ).
thf(zip_derived_cl7600,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl7596,zip_derived_cl7590]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV487+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UHWGduD6t4 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 : Tue Aug 29 05:54:43 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
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.81/1.75 % Solved by fo/fo13.sh.
% 7.81/1.75 % done 955 iterations in 0.976s
% 7.81/1.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.81/1.75 % SZS output start Refutation
% See solution above
% 7.81/1.75
% 7.81/1.75
% 7.81/1.75 % Terminating...
% 8.81/1.85 % Runner terminated.
% 8.81/1.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------