TSTP Solution File: SWC181+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC181+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.wliQdkKnlh true
% Computer : n008.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 21:29:42 EDT 2023
% Result : Theorem 1.61s 0.95s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 68 ( 28 unt; 16 typ; 0 def)
% Number of atoms : 169 ( 37 equ; 0 cnn)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 468 ( 61 ~; 59 |; 27 &; 290 @)
% ( 3 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 4 con; 0-2 aty)
% Number of variables : 58 ( 0 ^; 42 !; 16 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(duplicatefreeP_type,type,
duplicatefreeP: $i > $o ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(sk__14_type,type,
sk__14: $i > $i ).
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(leq_type,type,
leq: $i > $i > $o ).
thf(strictorderedP_type,type,
strictorderedP: $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(ax93,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( lt @ U @ V )
<=> ( ( U != V )
& ( leq @ U @ V ) ) ) ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( lt @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax93]) ).
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 ) ) ) ) )
| ( duplicatefreeP @ U )
| ( ( 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] :
( ( 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 ) ) ) ) )
| ( duplicatefreeP @ U )
| ( ( nil != X )
& ( nil = W ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl88,plain,
strictorderedP @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl665,plain,
strictorderedP @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl84]) ).
thf(ax13,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( duplicatefreeP @ U )
<=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
= U )
=> ( V != W ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( ( app @ ( app @ ( sk__14 @ X0 ) @ ( cons @ ( sk__12 @ X0 ) @ ( sk__15 @ X0 ) ) ) @ ( cons @ ( sk__13 @ X0 ) @ ( sk__16 @ X0 ) ) )
= X0 )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl83,plain,
~ ( duplicatefreeP @ sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl647,plain,
( ~ ( ssList @ sk__20 )
| ( ( app @ ( app @ ( sk__14 @ sk__20 ) @ ( cons @ ( sk__12 @ sk__20 ) @ ( sk__15 @ sk__20 ) ) ) @ ( cons @ ( sk__13 @ sk__20 ) @ ( sk__16 @ sk__20 ) ) )
= sk__20 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl83]) ).
thf(zip_derived_cl81,plain,
ssList @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ( ( sk__12 @ X0 )
= ( sk__13 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl83_001,plain,
~ ( duplicatefreeP @ sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl649,plain,
( ~ ( ssList @ sk__20 )
| ( ( sk__12 @ sk__20 )
= ( sk__13 @ sk__20 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl83]) ).
thf(zip_derived_cl81_002,plain,
ssList @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl691,plain,
( ( sk__12 @ sk__20 )
= ( sk__13 @ sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl649,zip_derived_cl81]) ).
thf(zip_derived_cl1890,plain,
( ( app @ ( app @ ( sk__14 @ sk__20 ) @ ( cons @ ( sk__12 @ sk__20 ) @ ( sk__15 @ sk__20 ) ) ) @ ( cons @ ( sk__12 @ sk__20 ) @ ( sk__16 @ sk__20 ) ) )
= sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl647,zip_derived_cl81,zip_derived_cl691]) ).
thf(ax12,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( strictorderedP @ U )
<=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
= U )
=> ( lt @ V @ W ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( strictorderedP @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( lt @ X3 @ X1 )
| ( ( app @ ( app @ X4 @ ( cons @ X3 @ X2 ) ) @ ( cons @ X1 @ X5 ) )
!= X0 )
| ~ ( ssList @ X5 )
| ~ ( ssList @ X4 )
| ~ ( ssItem @ X3 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1912,plain,
! [X0: $i] :
( ( sk__20 != X0 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ ( sk__12 @ sk__20 ) )
| ~ ( ssList @ ( sk__14 @ sk__20 ) )
| ~ ( ssList @ ( sk__16 @ sk__20 ) )
| ( lt @ ( sk__12 @ sk__20 ) @ ( sk__12 @ sk__20 ) )
| ~ ( ssList @ ( sk__15 @ sk__20 ) )
| ~ ( ssItem @ ( sk__12 @ sk__20 ) )
| ~ ( strictorderedP @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1890,zip_derived_cl18]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ( ssItem @ ( sk__12 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl83_003,plain,
~ ( duplicatefreeP @ sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl641,plain,
( ~ ( ssList @ sk__20 )
| ( ssItem @ ( sk__12 @ sk__20 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl83]) ).
thf(zip_derived_cl81_004,plain,
ssList @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl679,plain,
ssItem @ ( sk__12 @ sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl641,zip_derived_cl81]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( ssList @ ( sk__14 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl83_005,plain,
~ ( duplicatefreeP @ sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl643,plain,
( ~ ( ssList @ sk__20 )
| ( ssList @ ( sk__14 @ sk__20 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl83]) ).
thf(zip_derived_cl81_006,plain,
ssList @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl682,plain,
ssList @ ( sk__14 @ sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl643,zip_derived_cl81]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( ssList @ ( sk__16 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl83_007,plain,
~ ( duplicatefreeP @ sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl645,plain,
( ~ ( ssList @ sk__20 )
| ( ssList @ ( sk__16 @ sk__20 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl83]) ).
thf(zip_derived_cl81_008,plain,
ssList @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl683,plain,
ssList @ ( sk__16 @ sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl645,zip_derived_cl81]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ( ssList @ ( sk__15 @ X0 ) )
| ( duplicatefreeP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl83_009,plain,
~ ( duplicatefreeP @ sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl651,plain,
( ~ ( ssList @ sk__20 )
| ( ssList @ ( sk__15 @ sk__20 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl83]) ).
thf(zip_derived_cl81_010,plain,
ssList @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl684,plain,
ssList @ ( sk__15 @ sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl651,zip_derived_cl81]) ).
thf(zip_derived_cl679_011,plain,
ssItem @ ( sk__12 @ sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl641,zip_derived_cl81]) ).
thf(zip_derived_cl1940,plain,
! [X0: $i] :
( ( sk__20 != X0 )
| ~ ( ssList @ X0 )
| ( lt @ ( sk__12 @ sk__20 ) @ ( sk__12 @ sk__20 ) )
| ~ ( strictorderedP @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1912,zip_derived_cl679,zip_derived_cl682,zip_derived_cl683,zip_derived_cl684,zip_derived_cl679]) ).
thf(zip_derived_cl1955,plain,
( ( lt @ ( sk__12 @ sk__20 ) @ ( sk__12 @ sk__20 ) )
| ~ ( ssList @ sk__20 )
| ( sk__20 != sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl665,zip_derived_cl1940]) ).
thf(zip_derived_cl81_012,plain,
ssList @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1961,plain,
( ( lt @ ( sk__12 @ sk__20 ) @ ( sk__12 @ sk__20 ) )
| ( sk__20 != sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1955,zip_derived_cl81]) ).
thf(zip_derived_cl1962,plain,
lt @ ( sk__12 @ sk__20 ) @ ( sk__12 @ sk__20 ),
inference(simplify,[status(thm)],[zip_derived_cl1961]) ).
thf(zip_derived_cl1970,plain,
( ~ ( ssItem @ ( sk__12 @ sk__20 ) )
| ( ( sk__12 @ sk__20 )
!= ( sk__12 @ sk__20 ) )
| ~ ( ssItem @ ( sk__12 @ sk__20 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl1962]) ).
thf(zip_derived_cl679_013,plain,
ssItem @ ( sk__12 @ sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl641,zip_derived_cl81]) ).
thf(zip_derived_cl679_014,plain,
ssItem @ ( sk__12 @ sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl641,zip_derived_cl81]) ).
thf(zip_derived_cl1973,plain,
( ( sk__12 @ sk__20 )
!= ( sk__12 @ sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1970,zip_derived_cl679,zip_derived_cl679]) ).
thf(zip_derived_cl1974,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1973]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC181+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wliQdkKnlh true
% 0.13/0.34 % Computer : n008.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 14:37:32 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
% 0.20/0.35 % 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
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.61/0.95 % Solved by fo/fo3_bce.sh.
% 1.61/0.95 % BCE start: 95
% 1.61/0.95 % BCE eliminated: 2
% 1.61/0.95 % PE start: 93
% 1.61/0.95 logic: eq
% 1.61/0.95 % PE eliminated: -5
% 1.61/0.95 % done 243 iterations in 0.203s
% 1.61/0.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.61/0.95 % SZS output start Refutation
% See solution above
% 1.61/0.96
% 1.61/0.96
% 1.61/0.96 % Terminating...
% 1.71/1.05 % Runner terminated.
% 1.71/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------