%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV487+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TCI45Ch03P true
% Computer : n023.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 Oct 2 05:01:17 PM UTC 2025
% Result : Theorem 8.85s 1.72s
% Output : Refutation 8.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 53 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 137 ( 32 equ; 0 cnn)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 428 ( 58 ~; 56 |; 16 &; 286 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 56 ( 0 ^; 55 !; 1 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(int_one_type,type,
int_one: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(int_less_type,type,
int_less: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i > $i > $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(a_type,type,
a: $i > $i > $i ).
thf(real_one_type,type,
real_one: $i ).
thf(plus_type,type,
plus: $i > $i > $i ).
thf(int_zero_type,type,
int_zero: $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_cl20,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_cl32,plain,
int_leq @ sk__2 @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl1]) ).
thf(zip_derived_cl22,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_cl24,plain,
( ( sk__1 = n )
| ( int_less @ sk__1 @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl0]) ).
thf(zip_derived_cl20_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_cl49,plain,
! [X0: $i] :
( ~ ( int_less @ sk__1 @ X0 )
| ( int_less @ sk__2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl3]) ).
thf(zip_derived_cl68,plain,
( ( sk__1 = n )
| ( int_less @ sk__2 @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl49]) ).
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_cl73,plain,
( ( sk__1 = n )
| ( int_leq @ sk__2 @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl1]) ).
thf(zip_derived_cl21,plain,
int_leq @ int_one @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20_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_cl179,plain,
( ( plus @ sk__2 @ ( sk_ @ sk__1 @ sk__2 ) )
= sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl11]) ).
thf(zip_derived_cl22_004,plain,
int_leq @ sk__1 @ n,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(qii,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 ) ) )
& ! [K: $i] :
( ( ( int_leq @ int_one @ K )
& ( int_leq @ K @ J ) )
=> ( ( a @ K @ K )
= real_one ) )
& ! [C: $i] :
( ( ( int_less @ int_zero @ C )
& ( J
= ( plus @ I @ C ) ) )
=> ! [K: $i] :
( ( ( int_leq @ int_one @ K )
& ( int_leq @ K @ I ) )
=> ( ( a @ K @ ( plus @ K @ C ) )
= real_zero ) ) ) ) ) ).
thf(zip_derived_cl18,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)],[qii]) ).
thf(zip_derived_cl286,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_cl22,zip_derived_cl18]) ).
thf(zip_derived_cl20_005,plain,
int_less @ sk__2 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21_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_cl38,plain,
int_less @ int_zero @ sk__2,
inference('s_sup-',[status(thm)],[zip_derived_cl21,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_cl46,plain,
! [X0: $i] :
( ~ ( int_less @ sk__2 @ X0 )
| ( int_less @ int_zero @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl3]) ).
thf(zip_derived_cl52,plain,
int_less @ int_zero @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl46]) ).
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_cl55,plain,
int_leq @ int_one @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl13]) ).
thf(zip_derived_cl295,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_cl286,zip_derived_cl55]) ).
thf(zip_derived_cl9632,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_cl179,zip_derived_cl295]) ).
thf(zip_derived_cl21_008,plain,
int_leq @ int_one @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20_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_cl122,plain,
int_less @ int_zero @ ( sk_ @ sk__1 @ sk__2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl10]) ).
thf(zip_derived_cl9661,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_cl9632,zip_derived_cl21,zip_derived_cl122]) ).
thf(zip_derived_cl19,plain,
( ( a @ sk__1 @ sk__2 )
!= real_zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9662,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_cl9661,zip_derived_cl19]) ).
thf(zip_derived_cl9732,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_cl21,zip_derived_cl9662]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( int_leq @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[int_leq]) ).
thf(zip_derived_cl26,plain,
! [X0: $i] : ( int_leq @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl179_010,plain,
( ( plus @ sk__2 @ ( sk_ @ sk__1 @ sk__2 ) )
= sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl11]) ).
thf(zip_derived_cl9757,plain,
( ~ ( int_leq @ sk__2 @ n )
| ( sk__1 != sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl9732,zip_derived_cl26,zip_derived_cl179]) ).
thf(zip_derived_cl9758,plain,
~ ( int_leq @ sk__2 @ n ),
inference(simplify,[status(thm)],[zip_derived_cl9757]) ).
thf(zip_derived_cl9765,plain,
sk__1 = n,
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl9758]) ).
thf(zip_derived_cl9758_011,plain,
~ ( int_leq @ sk__2 @ n ),
inference(simplify,[status(thm)],[zip_derived_cl9757]) ).
thf(zip_derived_cl9769,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl9765,zip_derived_cl9758]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWV487+3 : TPTP v9.2.0. Released v4.0.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TCI45Ch03P true
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 12:44:53 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.16/0.47 % Total configuration time : 435
% 0.16/0.47 % Estimated wc time : 1092
% 0.16/0.47 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.52 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.52 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.52 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.53 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.53 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.53 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.53 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.85/1.72 % Solved by fo/fo13.sh.
% 8.85/1.72 % done 1110 iterations in 1.172s
% 8.85/1.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.85/1.72 % SZS output start Refutation
% See solution above
% 8.85/1.72
% 8.85/1.72
% 8.85/1.72 % Terminating...
% 8.85/1.79 % Runner terminated.
% 8.85/1.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------