TSTP Solution File: SWC112+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC112+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.qmjhVJ0tQz true
% Computer : n003.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 21:29:14 EDT 2023
% Result : Theorem 0.55s 0.77s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 64 ( 24 unt; 15 typ; 0 def)
% Number of atoms : 164 ( 66 equ; 0 cnn)
% Maximal formula atoms : 31 ( 3 avg)
% Number of connectives : 362 ( 68 ~; 63 |; 32 &; 179 @)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 47 ( 0 ^; 29 !; 18 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(nil_type,type,
nil: $i ).
thf(lt_type,type,
lt: $i > $i > $o ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(strictorderedP_type,type,
strictorderedP: $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__21_type,type,
sk__21: $i ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ ( app @ Y @ W ) @ Z )
!= X )
| ~ ( strictorderedP @ W )
| ? [X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ? [X4: $i] :
( ( lt @ X1 @ X3 )
& ( ( app @ ( cons @ X3 @ nil ) @ X4 )
= W )
& ( ssList @ X4 ) )
& ( ssItem @ X3 ) )
& ( ( app @ X2 @ ( cons @ X1 @ nil ) )
= Y )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) )
| ? [X5: $i] :
( ? [X6: $i] :
( ? [X7: $i] :
( ? [X8: $i] :
( ( lt @ X7 @ X5 )
& ( ( app @ X8 @ ( cons @ X7 @ nil ) )
= W )
& ( ssList @ X8 ) )
& ( ssItem @ X7 ) )
& ( ( app @ ( cons @ X5 @ nil ) @ X6 )
= Z )
& ( ssList @ X6 ) )
& ( ssItem @ X5 ) ) ) ) )
| ( ( nil != X )
& ( nil = W ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ ( neq @ V @ nil )
| ( ( neq @ U @ nil )
& ( segmentP @ V @ U ) ) ) ) ) ) ) ) ) ).
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 )
| ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ ( app @ Y @ W ) @ Z )
!= X )
| ~ ( strictorderedP @ W )
| ? [X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ? [X4: $i] :
( ( lt @ X1 @ X3 )
& ( ( app @ ( cons @ X3 @ nil ) @ X4 )
= W )
& ( ssList @ X4 ) )
& ( ssItem @ X3 ) )
& ( ( app @ X2 @ ( cons @ X1 @ nil ) )
= Y )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) )
| ? [X5: $i] :
( ? [X6: $i] :
( ? [X7: $i] :
( ? [X8: $i] :
( ( lt @ X7 @ X5 )
& ( ( app @ X8 @ ( cons @ X7 @ nil ) )
= W )
& ( ssList @ X8 ) )
& ( ssItem @ X7 ) )
& ( ( app @ ( cons @ X5 @ nil ) @ X6 )
= Z )
& ( ssList @ X6 ) )
& ( ssItem @ X5 ) ) ) ) )
| ( ( nil != X )
& ( nil = W ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ ( neq @ V @ nil )
| ( ( neq @ U @ nil )
& ( segmentP @ V @ U ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl98,plain,
( ( app @ ( app @ sk__21 @ sk__19 ) @ sk__22 )
= sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl794,plain,
( ( app @ ( app @ sk__21 @ sk__17 ) @ sk__22 )
= sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl92,zip_derived_cl100]) ).
thf(ax7,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( segmentP @ U @ V )
<=> ? [W: $i] :
( ? [X: $i] :
( ( ( app @ ( app @ W @ V ) @ X )
= U )
& ( ssList @ X ) )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ X0 ) @ X1 )
!= X2 )
| ~ ( ssList @ X3 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl815,plain,
! [X0: $i] :
( ( sk__18 != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__17 )
| ~ ( ssList @ sk__21 )
| ~ ( ssList @ sk__22 )
| ~ ( ssList @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl794,zip_derived_cl8]) ).
thf(zip_derived_cl94,plain,
ssList @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl99,plain,
ssList @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86,plain,
ssList @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl823,plain,
! [X0: $i] :
( ( sk__18 != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl815,zip_derived_cl94,zip_derived_cl99,zip_derived_cl86]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl89,plain,
( ( nil = sk__18 )
| ~ ( neq @ sk__17 @ nil )
| ~ ( segmentP @ sk__18 @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl734,plain,
( ~ ( ssList @ sk__17 )
| ( sk__17 = nil )
| ~ ( ssList @ nil )
| ~ ( segmentP @ sk__18 @ sk__17 )
| ( nil = sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl89]) ).
thf(zip_derived_cl86_001,plain,
ssList @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl28,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl947,plain,
( ( sk__17 = nil )
| ~ ( segmentP @ sk__18 @ sk__17 )
| ( nil = sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl734,zip_derived_cl86,zip_derived_cl28]) ).
thf(ax58,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( segmentP @ nil @ U )
<=> ( nil = U ) ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ~ ( segmentP @ nil @ X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax58]) ).
thf(zip_derived_cl823_002,plain,
! [X0: $i] :
( ( sk__18 != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl815,zip_derived_cl94,zip_derived_cl99,zip_derived_cl86]) ).
thf(zip_derived_cl830,plain,
( ~ ( ssList @ sk__17 )
| ( nil = sk__17 )
| ~ ( ssList @ nil )
| ( sk__18 != nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl823]) ).
thf(zip_derived_cl86_003,plain,
ssList @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28_004,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl831,plain,
( ( nil = sk__17 )
| ( sk__18 != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl830,zip_derived_cl86,zip_derived_cl28]) ).
thf(zip_derived_cl90,plain,
( ( nil != sk__17 )
| ( neq @ sk__18 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl745,plain,
( ( nil != sk__17 )
| ~ ( ssList @ sk__18 )
| ( sk__18 != nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl90,zip_derived_cl25]) ).
thf(zip_derived_cl761,plain,
( ( nil != sk__17 )
| ( sk__18 != nil )
| ~ ( ssList @ nil ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl745]) ).
thf(zip_derived_cl28_005,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl762,plain,
( ( nil != sk__17 )
| ( sk__18 != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl761,zip_derived_cl28]) ).
thf(zip_derived_cl93,plain,
( ( nil = sk__20 )
| ( nil != sk__19 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92_006,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl752,plain,
( ( nil = sk__20 )
| ( nil != sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl92]) ).
thf(zip_derived_cl100_007,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl754,plain,
( ( sk__18 = nil )
| ( nil != sk__17 ) ),
inference('sup+',[status(thm)],[zip_derived_cl752,zip_derived_cl100]) ).
thf(zip_derived_cl763,plain,
nil != sk__17,
inference(clc,[status(thm)],[zip_derived_cl762,zip_derived_cl754]) ).
thf(zip_derived_cl832,plain,
sk__18 != nil,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl831,zip_derived_cl763]) ).
thf(zip_derived_cl763_008,plain,
nil != sk__17,
inference(clc,[status(thm)],[zip_derived_cl762,zip_derived_cl754]) ).
thf(zip_derived_cl948,plain,
~ ( segmentP @ sk__18 @ sk__17 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl947,zip_derived_cl832,zip_derived_cl763]) ).
thf(zip_derived_cl950,plain,
( ~ ( ssList @ sk__18 )
| ( sk__18 != sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl948]) ).
thf(zip_derived_cl101,plain,
ssList @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100_009,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl756,plain,
ssList @ sk__18,
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl100]) ).
thf(zip_derived_cl951,plain,
sk__18 != sk__18,
inference(demod,[status(thm)],[zip_derived_cl950,zip_derived_cl756]) ).
thf(zip_derived_cl952,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl951]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC112+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qmjhVJ0tQz true
% 0.14/0.34 % Computer : n003.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 : Mon Aug 28 17:45:10 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
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.41/0.64 % Total configuration time : 435
% 0.41/0.64 % Estimated wc time : 1092
% 0.41/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /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
% 0.55/0.77 % Solved by fo/fo3_bce.sh.
% 0.55/0.77 % BCE start: 103
% 0.55/0.77 % BCE eliminated: 2
% 0.55/0.77 % PE start: 101
% 0.55/0.77 logic: eq
% 0.55/0.77 % PE eliminated: 2
% 0.55/0.77 % done 89 iterations in 0.055s
% 0.55/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.77 % SZS output start Refutation
% See solution above
% 0.55/0.77
% 0.55/0.77
% 0.55/0.77 % Terminating...
% 1.46/0.85 % Runner terminated.
% 1.46/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------