%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV403+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8GQDwqkjiY true
% Computer : n024.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 05:01:00 PM UTC 2025
% Result : Theorem 0.52s 0.77s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 56 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 127 ( 29 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 532 ( 47 ~; 55 |; 6 &; 414 @)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 100 ( 0 ^; 100 !; 0 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
thf(strictly_less_than_type,type,
strictly_less_than: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__type,type,
sk_: $i ).
thf(pair_type,type,
pair: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(less_than_type,type,
less_than: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(update_slb_type,type,
update_slb: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(pair_in_list_type,type,
pair_in_list: $i > $i > $i > $o ).
thf(insert_slb_type,type,
insert_slb: $i > $i > $i ).
thf(l39_co,conjecture,
! [U: $i] :
( ! [V: $i,W: $i,X: $i] :
( ( ( pair_in_list @ U @ V @ W )
& ( strictly_less_than @ W @ X ) )
=> ( pair_in_list @ ( update_slb @ U @ X ) @ V @ X ) )
=> ! [Y: $i,Z: $i,X1: $i,X2: $i,X3: $i] :
( ( ( pair_in_list @ ( insert_slb @ U @ ( pair @ X2 @ X3 ) ) @ Y @ Z )
& ( strictly_less_than @ Z @ X1 ) )
=> ( pair_in_list @ ( update_slb @ ( insert_slb @ U @ ( pair @ X2 @ X3 ) ) @ X1 ) @ Y @ X1 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ! [V: $i,W: $i,X: $i] :
( ( ( pair_in_list @ U @ V @ W )
& ( strictly_less_than @ W @ X ) )
=> ( pair_in_list @ ( update_slb @ U @ X ) @ V @ X ) )
=> ! [Y: $i,Z: $i,X1: $i,X2: $i,X3: $i] :
( ( ( pair_in_list @ ( insert_slb @ U @ ( pair @ X2 @ X3 ) ) @ Y @ Z )
& ( strictly_less_than @ Z @ X1 ) )
=> ( pair_in_list @ ( update_slb @ ( insert_slb @ U @ ( pair @ X2 @ X3 ) ) @ X1 ) @ Y @ X1 ) ) ),
inference('cnf.neg',[status(esa)],[l39_co]) ).
thf(zip_derived_cl26,plain,
strictly_less_than @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(stricly_smaller_definition,axiom,
! [U: $i,V: $i] :
( ( strictly_less_than @ U @ V )
<=> ( ( less_than @ U @ V )
& ~ ( less_than @ V @ U ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( less_than @ X0 @ X1 )
| ~ ( strictly_less_than @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[stricly_smaller_definition]) ).
thf(zip_derived_cl117,plain,
~ ( less_than @ sk__3 @ sk__2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl4]) ).
thf(ax23,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( pair_in_list @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W @ Y )
<=> ( ( pair_in_list @ U @ W @ Y )
| ( ( V = W )
& ( X = Y ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ( pair_in_list @ X2 @ X0 @ X3 )
| ~ ( pair_in_list @ ( insert_slb @ X2 @ ( pair @ X1 @ X4 ) ) @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl27,plain,
pair_in_list @ ( insert_slb @ sk_ @ ( pair @ sk__4 @ sk__5 ) ) @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl167,plain,
( ( pair_in_list @ sk_ @ sk__1 @ sk__2 )
| ( sk__4 = sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl27]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( strictly_less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 )
| ~ ( less_than @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[stricly_smaller_definition]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( pair_in_list @ sk_ @ X0 @ X1 )
| ~ ( strictly_less_than @ X1 @ X2 )
| ( pair_in_list @ ( update_slb @ sk_ @ X2 ) @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl115,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( less_than @ X1 @ X0 )
| ( less_than @ X0 @ X1 )
| ( pair_in_list @ ( update_slb @ sk_ @ X0 ) @ X2 @ X0 )
| ~ ( pair_in_list @ sk_ @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl25]) ).
thf(totality,axiom,
! [U: $i,V: $i] :
( ( less_than @ V @ U )
| ( less_than @ U @ V ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[totality]) ).
thf(zip_derived_cl188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( pair_in_list @ sk_ @ X2 @ X1 )
| ( pair_in_list @ ( update_slb @ sk_ @ X0 ) @ X2 @ X0 )
| ( less_than @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl115,zip_derived_cl1]) ).
thf(zip_derived_cl189,plain,
! [X0: $i] :
( ( sk__4 = sk__1 )
| ( less_than @ X0 @ sk__2 )
| ( pair_in_list @ ( update_slb @ sk_ @ X0 ) @ sk__1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl188]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i,X1: $i] :
( ( strictly_less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 )
| ~ ( less_than @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[stricly_smaller_definition]) ).
thf(ax29,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( strictly_less_than @ X @ W )
=> ( ( update_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( insert_slb @ ( update_slb @ U @ W ) @ ( pair @ V @ W ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( update_slb @ ( insert_slb @ X0 @ ( pair @ X2 @ X3 ) ) @ X1 )
= ( insert_slb @ ( update_slb @ X0 @ X1 ) @ ( pair @ X2 @ X1 ) ) )
| ~ ( strictly_less_than @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[ax29]) ).
thf(zip_derived_cl114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( less_than @ X1 @ X0 )
| ( less_than @ X0 @ X1 )
| ( ( update_slb @ ( insert_slb @ X3 @ ( pair @ X2 @ X1 ) ) @ X0 )
= ( insert_slb @ ( update_slb @ X3 @ X0 ) @ ( pair @ X2 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl23]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i] :
( ( less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[totality]) ).
thf(zip_derived_cl277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( update_slb @ ( insert_slb @ X3 @ ( pair @ X2 @ X1 ) ) @ X0 )
= ( insert_slb @ ( update_slb @ X3 @ X0 ) @ ( pair @ X2 @ X0 ) ) )
| ( less_than @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl114,zip_derived_cl1]) ).
thf(zip_derived_cl28,plain,
~ ( pair_in_list @ ( update_slb @ ( insert_slb @ sk_ @ ( pair @ sk__4 @ sk__5 ) ) @ sk__3 ) @ sk__1 @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl279,plain,
( ~ ( pair_in_list @ ( insert_slb @ ( update_slb @ sk_ @ sk__3 ) @ ( pair @ sk__4 @ sk__3 ) ) @ sk__1 @ sk__3 )
| ( less_than @ sk__3 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl28]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( pair_in_list @ ( insert_slb @ X0 @ ( pair @ X1 @ X2 ) ) @ X3 @ X4 )
| ~ ( pair_in_list @ X0 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl280,plain,
( ( less_than @ sk__3 @ sk__5 )
| ~ ( pair_in_list @ ( update_slb @ sk_ @ sk__3 ) @ sk__1 @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl279,zip_derived_cl16]) ).
thf(ax30,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( less_than @ W @ X )
=> ( ( update_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( insert_slb @ ( update_slb @ U @ W ) @ ( pair @ V @ X ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( update_slb @ ( insert_slb @ X0 @ ( pair @ X2 @ X3 ) ) @ X1 )
= ( insert_slb @ ( update_slb @ X0 @ X1 ) @ ( pair @ X2 @ X3 ) ) )
| ~ ( less_than @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[ax30]) ).
thf(zip_derived_cl28_003,plain,
~ ( pair_in_list @ ( update_slb @ ( insert_slb @ sk_ @ ( pair @ sk__4 @ sk__5 ) ) @ sk__3 ) @ sk__1 @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl214,plain,
( ~ ( pair_in_list @ ( insert_slb @ ( update_slb @ sk_ @ sk__3 ) @ ( pair @ sk__4 @ sk__5 ) ) @ sk__1 @ sk__3 )
| ~ ( less_than @ sk__3 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl28]) ).
thf(zip_derived_cl16_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( pair_in_list @ ( insert_slb @ X0 @ ( pair @ X1 @ X2 ) ) @ X3 @ X4 )
| ~ ( pair_in_list @ X0 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl218,plain,
( ~ ( less_than @ sk__3 @ sk__5 )
| ~ ( pair_in_list @ ( update_slb @ sk_ @ sk__3 ) @ sk__1 @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl16]) ).
thf(zip_derived_cl326,plain,
~ ( pair_in_list @ ( update_slb @ sk_ @ sk__3 ) @ sk__1 @ sk__3 ),
inference(clc,[status(thm)],[zip_derived_cl280,zip_derived_cl218]) ).
thf(zip_derived_cl331,plain,
( ( less_than @ sk__3 @ sk__2 )
| ( sk__4 = sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl326]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( pair_in_list @ ( insert_slb @ X0 @ ( pair @ X1 @ X2 ) ) @ X3 @ X4 )
| ( X1 != X3 )
| ( X2 != X4 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl279_005,plain,
( ~ ( pair_in_list @ ( insert_slb @ ( update_slb @ sk_ @ sk__3 ) @ ( pair @ sk__4 @ sk__3 ) ) @ sk__1 @ sk__3 )
| ( less_than @ sk__3 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl28]) ).
thf(zip_derived_cl283,plain,
( ( sk__3 != sk__3 )
| ( sk__4 != sk__1 )
| ( less_than @ sk__3 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl279]) ).
thf(zip_derived_cl284,plain,
( ( less_than @ sk__3 @ sk__5 )
| ( sk__4 != sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl283]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ( pair_in_list @ X2 @ X3 @ X0 )
| ~ ( pair_in_list @ ( insert_slb @ X2 @ ( pair @ X4 @ X1 ) ) @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl27_006,plain,
pair_in_list @ ( insert_slb @ sk_ @ ( pair @ sk__4 @ sk__5 ) ) @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl184,plain,
( ( pair_in_list @ sk_ @ sk__1 @ sk__2 )
| ( sk__5 = sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl27]) ).
thf(zip_derived_cl188_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( pair_in_list @ sk_ @ X2 @ X1 )
| ( pair_in_list @ ( update_slb @ sk_ @ X0 ) @ X2 @ X0 )
| ( less_than @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl115,zip_derived_cl1]) ).
thf(zip_derived_cl190,plain,
! [X0: $i] :
( ( sk__5 = sk__2 )
| ( less_than @ X0 @ sk__2 )
| ( pair_in_list @ ( update_slb @ sk_ @ X0 ) @ sk__1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl184,zip_derived_cl188]) ).
thf(zip_derived_cl218_008,plain,
( ~ ( less_than @ sk__3 @ sk__5 )
| ~ ( pair_in_list @ ( update_slb @ sk_ @ sk__3 ) @ sk__1 @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl16]) ).
thf(zip_derived_cl231,plain,
( ( less_than @ sk__3 @ sk__2 )
| ( sk__5 = sk__2 )
| ~ ( less_than @ sk__3 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl218]) ).
thf(zip_derived_cl117_009,plain,
~ ( less_than @ sk__3 @ sk__2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl4]) ).
thf(zip_derived_cl233,plain,
( ( sk__5 = sk__2 )
| ~ ( less_than @ sk__3 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl117]) ).
thf(zip_derived_cl295,plain,
( ( sk__4 != sk__1 )
| ( sk__5 = sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl233]) ).
thf(zip_derived_cl284_010,plain,
( ( less_than @ sk__3 @ sk__5 )
| ( sk__4 != sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl283]) ).
thf(zip_derived_cl307,plain,
( ( less_than @ sk__3 @ sk__2 )
| ( sk__4 != sk__1 )
| ( sk__4 != sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl295,zip_derived_cl284]) ).
thf(zip_derived_cl314,plain,
( ( sk__4 != sk__1 )
| ( less_than @ sk__3 @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl307]) ).
thf(zip_derived_cl117_011,plain,
~ ( less_than @ sk__3 @ sk__2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl4]) ).
thf(zip_derived_cl324,plain,
sk__4 != sk__1,
inference(clc,[status(thm)],[zip_derived_cl314,zip_derived_cl117]) ).
thf(zip_derived_cl333,plain,
less_than @ sk__3 @ sk__2,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl331,zip_derived_cl324]) ).
thf(zip_derived_cl344,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV403+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8GQDwqkjiY true
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 12:37:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.41/0.62 % Total configuration time : 435
% 0.41/0.62 % Estimated wc time : 1092
% 0.41/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.77 % Solved by fo/fo3_bce.sh.
% 0.52/0.77 % BCE start: 29
% 0.52/0.77 % BCE eliminated: 0
% 0.52/0.77 % PE start: 29
% 0.52/0.77 logic: eq
% 0.52/0.77 % PE eliminated: 1
% 0.52/0.77 % done 101 iterations in 0.043s
% 0.52/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.77 % SZS output start Refutation
% See solution above
% 0.52/0.77
% 0.52/0.77
% 0.52/0.77 % Terminating...
% 0.52/0.82 % Runner terminated.
% 0.52/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------