TSTP Solution File: SWC013+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC013+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uOPF9fZ20z true
% Computer : n014.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 21:28:29 EDT 2023
% Result : Theorem 0.57s 0.84s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 21 unt; 10 typ; 0 def)
% Number of atoms : 154 ( 57 equ; 0 cnn)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 360 ( 83 ~; 71 |; 22 &; 169 @)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 38 !; 8 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(nil_type,type,
nil: $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(ax22,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssItem @ ( hd @ U ) ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ( neq @ nil @ X )
& ( ( hd @ X )
= Z )
& ( ( cons @ Z @ nil )
= Y )
& ( ssItem @ Z ) )
& ( W != Y )
& ( ssList @ Y ) )
| ? [X1: $i] :
( ? [X2: $i] :
( ( neq @ nil @ V )
& ( ( hd @ V )
= X2 )
& ( ( cons @ X2 @ nil )
= X1 )
& ( ssItem @ X2 ) )
& ( U = X1 )
& ( ssList @ X1 ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ( neq @ nil @ X )
& ( ( hd @ X )
= Z )
& ( ( cons @ Z @ nil )
= Y )
& ( ssItem @ Z ) )
& ( W != Y )
& ( ssList @ Y ) )
| ? [X1: $i] :
( ? [X2: $i] :
( ( neq @ nil @ V )
& ( ( hd @ V )
= X2 )
& ( ( cons @ X2 @ nil )
= X1 )
& ( ssItem @ X2 ) )
& ( U = X1 )
& ( ssList @ X1 ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__18 = X0 )
| ~ ( neq @ nil @ sk__19 )
| ( ( hd @ sk__19 )
!= X1 )
| ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 )
| ~ ( neq @ sk__19 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84,plain,
sk__16 = sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91_001,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91_002,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl85,plain,
( ( neq @ sk__17 @ nil )
| ( neq @ sk__17 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl660,plain,
neq @ sk__17 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl1201,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__16 = X0 )
| ~ ( neq @ nil @ sk__17 )
| ( ( hd @ sk__17 )
!= X1 )
| ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl84,zip_derived_cl91,zip_derived_cl91,zip_derived_cl91,zip_derived_cl660]) ).
thf(zip_derived_cl90,plain,
! [X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ( sk__16 != X2 )
| ~ ( neq @ nil @ sk__17 )
| ( ( hd @ sk__17 )
!= X3 )
| ( ( cons @ X3 @ nil )
!= X2 )
| ~ ( ssItem @ X3 )
| ~ ( neq @ sk__19 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91_003,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl660_004,plain,
neq @ sk__17 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl1056,plain,
! [X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ( sk__16 != X2 )
| ~ ( neq @ nil @ sk__17 )
| ( ( hd @ sk__17 )
!= X3 )
| ( ( cons @ X3 @ nil )
!= X2 )
| ~ ( ssItem @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl91,zip_derived_cl660]) ).
thf(zip_derived_cl1202,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X0 )
| ( ( hd @ sk__17 )
!= X1 )
| ~ ( neq @ nil @ sk__17 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1201,zip_derived_cl1056]) ).
thf(zip_derived_cl1203,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( neq @ nil @ sk__17 )
| ( ( hd @ sk__17 )
!= X0 )
| ~ ( ssItem @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1202]) ).
thf(zip_derived_cl1205,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__17 )
!= X0 )
| ~ ( neq @ nil @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl1203]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl24,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1206,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__17 )
!= X0 )
| ~ ( neq @ nil @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1205,zip_derived_cl24]) ).
thf(zip_derived_cl1207,plain,
! [X0: $i] :
( ~ ( neq @ nil @ sk__17 )
| ( ( hd @ sk__17 )
!= X0 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1206]) ).
thf(zip_derived_cl1211,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__17 )
| ~ ( ssList @ sk__17 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__17 )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl1207]) ).
thf(zip_derived_cl24_005,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl92,plain,
ssList @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91_006,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl652,plain,
ssList @ sk__17,
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl91]) ).
thf(zip_derived_cl1213,plain,
! [X0: $i] :
( ( nil = sk__17 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__17 )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1211,zip_derived_cl24,zip_derived_cl652]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl660_007,plain,
neq @ sk__17 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl664,plain,
( ~ ( ssList @ sk__17 )
| ( sk__17 != nil )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl660]) ).
thf(zip_derived_cl652_008,plain,
ssList @ sk__17,
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl91]) ).
thf(zip_derived_cl24_009,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl666,plain,
sk__17 != nil,
inference(demod,[status(thm)],[zip_derived_cl664,zip_derived_cl652,zip_derived_cl24]) ).
thf(zip_derived_cl1214,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ sk__17 )
!= X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1213,zip_derived_cl666]) ).
thf(zip_derived_cl1215,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( ( hd @ sk__17 )
!= ( hd @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl1214]) ).
thf(zip_derived_cl1226,plain,
( ( nil = sk__17 )
| ~ ( ssList @ sk__17 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1215]) ).
thf(zip_derived_cl652_010,plain,
ssList @ sk__17,
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl91]) ).
thf(zip_derived_cl1227,plain,
nil = sk__17,
inference(demod,[status(thm)],[zip_derived_cl1226,zip_derived_cl652]) ).
thf(zip_derived_cl666_011,plain,
sk__17 != nil,
inference(demod,[status(thm)],[zip_derived_cl664,zip_derived_cl652,zip_derived_cl24]) ).
thf(zip_derived_cl1228,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1227,zip_derived_cl666]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC013+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uOPF9fZ20z true
% 0.13/0.34 % Computer : n014.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 : Mon Aug 28 17:39:30 EDT 2023
% 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.84 % Solved by fo/fo3_bce.sh.
% 0.57/0.84 % BCE start: 94
% 0.57/0.84 % BCE eliminated: 2
% 0.57/0.84 % PE start: 92
% 0.57/0.84 logic: eq
% 0.57/0.84 % PE eliminated: 2
% 0.57/0.84 % done 125 iterations in 0.103s
% 0.57/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.84 % SZS output start Refutation
% See solution above
% 0.57/0.84
% 0.57/0.84
% 0.57/0.84 % Terminating...
% 0.58/0.94 % Runner terminated.
% 0.58/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------