TSTP Solution File: SWC366+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC366+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SwjaxnAhwN true
% Computer : n020.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 21:31:04 EDT 2023
% Result : Theorem 1.34s 0.93s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 19
% Syntax : Number of formulae : 76 ( 24 unt; 12 typ; 0 def)
% Number of atoms : 218 ( 64 equ; 0 cnn)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 591 ( 129 ~; 117 |; 17 &; 308 @)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 65 ( 0 ^; 58 !; 7 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(rearsegP_type,type,
rearsegP: $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(ax22,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssItem @ ( hd @ U ) ) ) ) ).
thf(zip_derived_cl35,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_cl25,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_cl26,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax26,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
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] :
( ? [X1: $i] :
( ( neq @ nil @ X )
& ( ( hd @ X )
= X1 )
& ( ( cons @ X1 @ nil )
= Z )
& ( ssItem @ X1 ) )
& ( ( app @ Z @ W )
= Y )
& ( ssList @ Z ) )
& ( X != Y )
& ( ssList @ Y ) )
| ( rearsegP @ V @ U ) )
& ( ~ ( 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] :
( ? [X1: $i] :
( ( neq @ nil @ X )
& ( ( hd @ X )
= X1 )
& ( ( cons @ X1 @ nil )
= Z )
& ( ssItem @ X1 ) )
& ( ( app @ Z @ W )
= Y )
& ( ssList @ Z ) )
& ( X != Y )
& ( ssList @ Y ) )
| ( rearsegP @ V @ U ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( sk__20 = X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ( ( hd @ sk__20 )
!= X1 )
| ~ ( neq @ nil @ sk__20 )
| ( ( app @ X2 @ sk__19 )
!= X0 )
| ~ ( ssList @ X2 )
| ~ ( neq @ sk__20 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_001,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_002,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_003,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl95,plain,
( ( neq @ sk__18 @ nil )
| ( neq @ sk__18 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl782,plain,
neq @ sk__18 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl1468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( sk__18 = X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ( ( hd @ sk__18 )
!= X1 )
| ~ ( neq @ nil @ sk__18 )
| ( ( app @ X2 @ sk__17 )
!= X0 )
| ~ ( ssList @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl101,zip_derived_cl101,zip_derived_cl101,zip_derived_cl94,zip_derived_cl101,zip_derived_cl782]) ).
thf(zip_derived_cl1469,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( ( app @ ( cons @ X0 @ nil ) @ sk__17 )
!= X1 )
| ~ ( neq @ nil @ sk__18 )
| ( ( hd @ sk__18 )
!= X0 )
| ~ ( ssItem @ X0 )
| ( sk__18 = X1 )
| ~ ( ssList @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1468]) ).
thf(zip_derived_cl1471,plain,
! [X0: $i] :
( ~ ( ssList @ ( app @ ( cons @ X0 @ nil ) @ sk__17 ) )
| ( sk__18
= ( app @ ( cons @ X0 @ nil ) @ sk__17 ) )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__18 )
!= X0 )
| ~ ( neq @ nil @ sk__18 )
| ~ ( ssList @ ( cons @ X0 @ nil ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1469]) ).
thf(zip_derived_cl1478,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssList @ sk__17 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( neq @ nil @ sk__18 )
| ( ( hd @ sk__18 )
!= X0 )
| ~ ( ssItem @ X0 )
| ( sk__18
= ( app @ ( cons @ X0 @ nil ) @ sk__17 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl1471]) ).
thf(zip_derived_cl92,plain,
ssList @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1481,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( neq @ nil @ sk__18 )
| ( ( hd @ sk__18 )
!= X0 )
| ~ ( ssItem @ X0 )
| ( sk__18
= ( app @ ( cons @ X0 @ nil ) @ sk__17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1478,zip_derived_cl92]) ).
thf(zip_derived_cl1482,plain,
! [X0: $i] :
( ( sk__18
= ( app @ ( cons @ X0 @ nil ) @ sk__17 ) )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__18 )
!= X0 )
| ~ ( neq @ nil @ sk__18 )
| ~ ( ssList @ ( cons @ X0 @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1481]) ).
thf(ax6,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( rearsegP @ U @ V )
<=> ? [W: $i] :
( ( ( app @ W @ V )
= U )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X2 @ X0 )
!= X1 )
| ~ ( ssList @ X2 )
| ( rearsegP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl794,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ ( app @ X1 @ X0 ) )
| ( rearsegP @ ( app @ X1 @ X0 ) @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl39_004,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl1759,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( rearsegP @ ( app @ X1 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl794,zip_derived_cl39]) ).
thf(zip_derived_cl1770,plain,
! [X0: $i] :
( ( rearsegP @ sk__18 @ sk__17 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( neq @ nil @ sk__18 )
| ( ( hd @ sk__18 )
!= X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssList @ sk__17 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1482,zip_derived_cl1759]) ).
thf(zip_derived_cl92_005,plain,
ssList @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1781,plain,
! [X0: $i] :
( ( rearsegP @ sk__18 @ sk__17 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( neq @ nil @ sk__18 )
| ( ( hd @ sk__18 )
!= X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ X0 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1770,zip_derived_cl92]) ).
thf(zip_derived_cl1782,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ sk__18 )
!= X0 )
| ~ ( neq @ nil @ sk__18 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( rearsegP @ sk__18 @ sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1781]) ).
thf(zip_derived_cl99,plain,
( ~ ( rearsegP @ sk__18 @ sk__17 )
| ( neq @ sk__18 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
( ~ ( rearsegP @ sk__18 @ sk__17 )
| ~ ( neq @ sk__20 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_006,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl732,plain,
( ~ ( rearsegP @ sk__18 @ sk__17 )
| ~ ( neq @ sk__18 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl101]) ).
thf(zip_derived_cl743,plain,
~ ( rearsegP @ sk__18 @ sk__17 ),
inference(clc,[status(thm)],[zip_derived_cl99,zip_derived_cl732]) ).
thf(zip_derived_cl1914,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( neq @ nil @ sk__18 )
| ( ( hd @ sk__18 )
!= X0 )
| ~ ( ssItem @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1782,zip_derived_cl743]) ).
thf(zip_derived_cl1916,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__18 )
!= X0 )
| ~ ( neq @ nil @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1914]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl27,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1917,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__18 )
!= X0 )
| ~ ( neq @ nil @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1916,zip_derived_cl27]) ).
thf(zip_derived_cl1918,plain,
! [X0: $i] :
( ~ ( neq @ nil @ sk__18 )
| ( ( hd @ sk__18 )
!= X0 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1917]) ).
thf(zip_derived_cl1922,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__18 )
| ~ ( ssList @ sk__18 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__18 )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl1918]) ).
thf(zip_derived_cl27_007,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl102,plain,
ssList @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_008,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl726,plain,
ssList @ sk__18,
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl101]) ).
thf(zip_derived_cl1924,plain,
! [X0: $i] :
( ( nil = sk__18 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__18 )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1922,zip_derived_cl27,zip_derived_cl726]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl782_009,plain,
neq @ sk__18 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl786,plain,
( ~ ( ssList @ sk__18 )
| ( sk__18 != nil )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl782]) ).
thf(zip_derived_cl726_010,plain,
ssList @ sk__18,
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl101]) ).
thf(zip_derived_cl27_011,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl788,plain,
sk__18 != nil,
inference(demod,[status(thm)],[zip_derived_cl786,zip_derived_cl726,zip_derived_cl27]) ).
thf(zip_derived_cl1925,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ sk__18 )
!= X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1924,zip_derived_cl788]) ).
thf(zip_derived_cl1926,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( ( hd @ sk__18 )
!= ( hd @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl1925]) ).
thf(zip_derived_cl1961,plain,
( ( nil = sk__18 )
| ~ ( ssList @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1926]) ).
thf(zip_derived_cl726_012,plain,
ssList @ sk__18,
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl101]) ).
thf(zip_derived_cl1962,plain,
nil = sk__18,
inference(demod,[status(thm)],[zip_derived_cl1961,zip_derived_cl726]) ).
thf(zip_derived_cl788_013,plain,
sk__18 != nil,
inference(demod,[status(thm)],[zip_derived_cl786,zip_derived_cl726,zip_derived_cl27]) ).
thf(zip_derived_cl1963,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1962,zip_derived_cl788]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC366+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SwjaxnAhwN true
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 16:03:59 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.18/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.32/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.32/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.32/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.34/0.93 % Solved by fo/fo3_bce.sh.
% 1.34/0.93 % BCE start: 104
% 1.34/0.93 % BCE eliminated: 2
% 1.34/0.93 % PE start: 102
% 1.34/0.93 logic: eq
% 1.34/0.93 % PE eliminated: 2
% 1.34/0.93 % done 215 iterations in 0.168s
% 1.34/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.93 % SZS output start Refutation
% See solution above
% 1.34/0.93
% 1.34/0.93
% 1.34/0.93 % Terminating...
% 1.52/0.97 % Runner terminated.
% 1.52/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------