TSTP Solution File: SWC098+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC098+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.z5FRNgRA2Z true
% Computer : n012.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 21:29:08 EDT 2023
% Result : Theorem 1.97s 1.45s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 80 ( 27 unt; 12 typ; 0 def)
% Number of atoms : 193 ( 91 equ; 0 cnn)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 428 ( 98 ~; 95 |; 16 &; 205 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 23 !; 4 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__22_type,type,
sk__22: $i > $i ).
thf(nil_type,type,
nil: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__21_type,type,
sk__21: $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(sk__18_type,type,
sk__18: $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] :
( ( memberP @ V @ Y )
& ! [Z: $i] :
( ( ssItem @ Z )
=> ( ~ ( memberP @ V @ Z )
| ~ ( leq @ Y @ Z )
| ( Y = Z ) ) )
& ( ( cons @ Y @ nil )
= U )
& ( ssItem @ Y ) )
| ( ( nil = V )
& ( nil = U ) )
| ( ! [X1: $i] :
( ( ssItem @ X1 )
=> ( ( ( cons @ X1 @ nil )
!= W )
| ~ ( memberP @ X @ X1 )
| ? [X2: $i] :
( ( leq @ X1 @ X2 )
& ( memberP @ X @ X2 )
& ( X1 != X2 )
& ( ssItem @ X2 ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ) ).
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] :
( ( memberP @ V @ Y )
& ! [Z: $i] :
( ( ssItem @ Z )
=> ( ~ ( memberP @ V @ Z )
| ~ ( leq @ Y @ Z )
| ( Y = Z ) ) )
& ( ( cons @ Y @ nil )
= U )
& ( ssItem @ Y ) )
| ( ( nil = V )
& ( nil = U ) )
| ( ! [X1: $i] :
( ( ssItem @ X1 )
=> ( ( ( cons @ X1 @ nil )
!= W )
| ~ ( memberP @ X @ X1 )
| ? [X2: $i] :
( ( leq @ X1 @ X2 )
& ( memberP @ X @ X2 )
& ( X1 != X2 )
& ( ssItem @ X2 ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl94,plain,
! [X1: $i] :
( ~ ( ssItem @ X1 )
| ( sk__21 = X1 )
| ~ ( memberP @ sk__20 @ X1 )
| ~ ( leq @ sk__21 @ X1 )
| ( nil = sk__19 ) ),
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_cl92,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1677,plain,
! [X1: $i] :
( ~ ( ssItem @ X1 )
| ( sk__21 = X1 )
| ~ ( memberP @ sk__18 @ X1 )
| ~ ( leq @ sk__21 @ X1 )
| ( nil = sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl101,zip_derived_cl92]) ).
thf(zip_derived_cl97,plain,
( ( ( cons @ sk__21 @ nil )
= sk__19 )
| ( nil = sk__20 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92_001,plain,
sk__17 = sk__19,
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_cl730,plain,
( ( ( cons @ sk__21 @ nil )
= sk__17 )
| ( nil = sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl92,zip_derived_cl101]) ).
thf(ax18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl731,plain,
( ( sk__17 != nil )
| ( nil = sk__18 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl25]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl24,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl732,plain,
( ( sk__17 != nil )
| ( nil = sk__18 )
| ~ ( ssItem @ sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl731,zip_derived_cl24]) ).
thf(zip_derived_cl87,plain,
( ( nil != sk__18 )
| ( nil != sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl735,plain,
( ~ ( ssItem @ sk__21 )
| ( sk__17 != nil ) ),
inference(clc,[status(thm)],[zip_derived_cl732,zip_derived_cl87]) ).
thf(zip_derived_cl99,plain,
( ( ssItem @ sk__21 )
| ( nil = sk__20 ) ),
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_cl728,plain,
( ( ssItem @ sk__21 )
| ( nil = sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl101]) ).
thf(zip_derived_cl736,plain,
( ( sk__17 != nil )
| ( nil = sk__18 ) ),
inference('sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl728]) ).
thf(zip_derived_cl87_004,plain,
( ( nil != sk__18 )
| ( nil != sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl742,plain,
sk__17 != nil,
inference(clc,[status(thm)],[zip_derived_cl736,zip_derived_cl87]) ).
thf(zip_derived_cl1678,plain,
! [X1: $i] :
( ~ ( ssItem @ X1 )
| ( sk__21 = X1 )
| ~ ( memberP @ sk__18 @ X1 )
| ~ ( leq @ sk__21 @ X1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1677,zip_derived_cl742]) ).
thf(zip_derived_cl90,plain,
! [X0: $i] :
( ~ ( memberP @ sk__18 @ X0 )
| ( leq @ X0 @ ( sk__22 @ X0 ) )
| ( ( cons @ X0 @ nil )
!= sk__17 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2527,plain,
( ~ ( memberP @ sk__18 @ ( sk__22 @ sk__21 ) )
| ( sk__21
= ( sk__22 @ sk__21 ) )
| ~ ( ssItem @ ( sk__22 @ sk__21 ) )
| ~ ( ssItem @ sk__21 )
| ( ( cons @ sk__21 @ nil )
!= sk__17 )
| ~ ( memberP @ sk__18 @ sk__21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1678,zip_derived_cl90]) ).
thf(zip_derived_cl98,plain,
( ( ( cons @ sk__21 @ nil )
= sk__19 )
| ( nil = sk__19 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92_005,plain,
sk__17 = 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_cl745,plain,
( ( ( cons @ sk__21 @ nil )
= sk__17 )
| ( nil = sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl92,zip_derived_cl92]) ).
thf(zip_derived_cl742_007,plain,
sk__17 != nil,
inference(clc,[status(thm)],[zip_derived_cl736,zip_derived_cl87]) ).
thf(zip_derived_cl746,plain,
( ( cons @ sk__21 @ nil )
= sk__17 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl745,zip_derived_cl742]) ).
thf(zip_derived_cl96,plain,
( ( memberP @ sk__20 @ sk__21 )
| ( nil = sk__19 ) ),
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_cl92_009,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl756,plain,
( ( memberP @ sk__18 @ sk__21 )
| ( nil = sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl101,zip_derived_cl92]) ).
thf(zip_derived_cl742_010,plain,
sk__17 != nil,
inference(clc,[status(thm)],[zip_derived_cl736,zip_derived_cl87]) ).
thf(zip_derived_cl757,plain,
memberP @ sk__18 @ sk__21,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl756,zip_derived_cl742]) ).
thf(zip_derived_cl2529,plain,
( ~ ( memberP @ sk__18 @ ( sk__22 @ sk__21 ) )
| ( sk__21
= ( sk__22 @ sk__21 ) )
| ~ ( ssItem @ ( sk__22 @ sk__21 ) )
| ~ ( ssItem @ sk__21 )
| ( sk__17 != sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2527,zip_derived_cl746,zip_derived_cl757]) ).
thf(zip_derived_cl2530,plain,
( ~ ( ssItem @ sk__21 )
| ~ ( ssItem @ ( sk__22 @ sk__21 ) )
| ( sk__21
= ( sk__22 @ sk__21 ) )
| ~ ( memberP @ sk__18 @ ( sk__22 @ sk__21 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2529]) ).
thf(zip_derived_cl746_011,plain,
( ( cons @ sk__21 @ nil )
= sk__17 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl745,zip_derived_cl742]) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ~ ( memberP @ sk__18 @ X0 )
| ( ssItem @ ( sk__22 @ X0 ) )
| ( ( cons @ X0 @ nil )
!= sk__17 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl917,plain,
( ( sk__17 != sk__17 )
| ~ ( ssItem @ sk__21 )
| ( ssItem @ ( sk__22 @ sk__21 ) )
| ~ ( memberP @ sk__18 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl746,zip_derived_cl88]) ).
thf(zip_derived_cl757_012,plain,
memberP @ sk__18 @ sk__21,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl756,zip_derived_cl742]) ).
thf(zip_derived_cl918,plain,
( ( sk__17 != sk__17 )
| ~ ( ssItem @ sk__21 )
| ( ssItem @ ( sk__22 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl917,zip_derived_cl757]) ).
thf(zip_derived_cl919,plain,
( ( ssItem @ ( sk__22 @ sk__21 ) )
| ~ ( ssItem @ sk__21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl918]) ).
thf(zip_derived_cl6234,plain,
( ~ ( memberP @ sk__18 @ ( sk__22 @ sk__21 ) )
| ( sk__21
= ( sk__22 @ sk__21 ) )
| ~ ( ssItem @ sk__21 ) ),
inference(clc,[status(thm)],[zip_derived_cl2530,zip_derived_cl919]) ).
thf(zip_derived_cl746_013,plain,
( ( cons @ sk__21 @ nil )
= sk__17 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl745,zip_derived_cl742]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ~ ( memberP @ sk__18 @ X0 )
| ( memberP @ sk__18 @ ( sk__22 @ X0 ) )
| ( ( cons @ X0 @ nil )
!= sk__17 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2486,plain,
( ( sk__17 != sk__17 )
| ~ ( ssItem @ sk__21 )
| ( memberP @ sk__18 @ ( sk__22 @ sk__21 ) )
| ~ ( memberP @ sk__18 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl746,zip_derived_cl89]) ).
thf(zip_derived_cl757_014,plain,
memberP @ sk__18 @ sk__21,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl756,zip_derived_cl742]) ).
thf(zip_derived_cl2491,plain,
( ( sk__17 != sk__17 )
| ~ ( ssItem @ sk__21 )
| ( memberP @ sk__18 @ ( sk__22 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2486,zip_derived_cl757]) ).
thf(zip_derived_cl2492,plain,
( ( memberP @ sk__18 @ ( sk__22 @ sk__21 ) )
| ~ ( ssItem @ sk__21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2491]) ).
thf(zip_derived_cl6235,plain,
( ~ ( ssItem @ sk__21 )
| ( sk__21
= ( sk__22 @ sk__21 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6234,zip_derived_cl2492]) ).
thf(zip_derived_cl746_015,plain,
( ( cons @ sk__21 @ nil )
= sk__17 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl745,zip_derived_cl742]) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ~ ( memberP @ sk__18 @ X0 )
| ( X0
!= ( sk__22 @ X0 ) )
| ( ( cons @ X0 @ nil )
!= sk__17 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl763,plain,
( ( sk__17 != sk__17 )
| ~ ( ssItem @ sk__21 )
| ( sk__21
!= ( sk__22 @ sk__21 ) )
| ~ ( memberP @ sk__18 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl746,zip_derived_cl91]) ).
thf(zip_derived_cl757_016,plain,
memberP @ sk__18 @ sk__21,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl756,zip_derived_cl742]) ).
thf(zip_derived_cl764,plain,
( ( sk__17 != sk__17 )
| ~ ( ssItem @ sk__21 )
| ( sk__21
!= ( sk__22 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl763,zip_derived_cl757]) ).
thf(zip_derived_cl765,plain,
( ( sk__21
!= ( sk__22 @ sk__21 ) )
| ~ ( ssItem @ sk__21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl764]) ).
thf(zip_derived_cl6236,plain,
~ ( ssItem @ sk__21 ),
inference(clc,[status(thm)],[zip_derived_cl6235,zip_derived_cl765]) ).
thf(zip_derived_cl100,plain,
( ( ssItem @ sk__21 )
| ( nil = sk__19 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92_017,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl729,plain,
( ( ssItem @ sk__21 )
| ( nil = sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl92]) ).
thf(zip_derived_cl742_018,plain,
sk__17 != nil,
inference(clc,[status(thm)],[zip_derived_cl736,zip_derived_cl87]) ).
thf(zip_derived_cl6237,plain,
ssItem @ sk__21,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl729,zip_derived_cl742]) ).
thf(zip_derived_cl6250,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6236,zip_derived_cl6237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC098+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.z5FRNgRA2Z true
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 16:52:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.13/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.97/1.45 % Solved by fo/fo3_bce.sh.
% 1.97/1.45 % BCE start: 104
% 1.97/1.45 % BCE eliminated: 2
% 1.97/1.45 % PE start: 102
% 1.97/1.45 logic: eq
% 1.97/1.45 % PE eliminated: 0
% 1.97/1.45 % done 850 iterations in 0.657s
% 1.97/1.45 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.97/1.45 % SZS output start Refutation
% See solution above
% 1.97/1.45
% 1.97/1.45
% 1.97/1.45 % Terminating...
% 6.38/1.56 % Runner terminated.
% 6.38/1.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------