TSTP Solution File: SWC240+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC240+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.TDM7NOehUY true
% Computer : n028.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 21:30:09 EDT 2023
% Result : Theorem 1.54s 0.89s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 51 ( 8 unt; 12 typ; 0 def)
% Number of atoms : 157 ( 45 equ; 0 cnn)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 465 ( 94 ~; 85 |; 14 &; 253 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 69 ( 0 ^; 59 !; 10 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__15_type,type,
sk__15: $i > $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__21_type,type,
sk__21: $i > $i > $i > $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( nil = U )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ~ ( memberP @ Z @ X2 )
| ~ ( memberP @ X1 @ X2 )
| ~ ( lt @ Y @ X2 )
| ( leq @ Y @ X2 ) ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ! [X3: $i] :
( ( ssItem @ X3 )
=> ? [X4: $i] :
( ( memberP @ W @ X4 )
& ( X3 != X4 )
& ( ssItem @ X4 ) ) ) ) ) ) ) ) ).
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 )
| ( nil = U )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ~ ( memberP @ Z @ X2 )
| ~ ( memberP @ X1 @ X2 )
| ~ ( lt @ Y @ X2 )
| ( leq @ Y @ X2 ) ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ! [X3: $i] :
( ( ssItem @ X3 )
=> ? [X4: $i] :
( ( memberP @ W @ X4 )
& ( X3 != X4 )
& ( ssItem @ X4 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl87,plain,
ssList @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax20,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil = U )
| ? [V: $i] :
( ? [W: $i] :
( ( ( cons @ W @ V )
= U )
& ( ssItem @ W ) )
& ( ssList @ V ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( ( cons @ ( sk__15 @ X0 ) @ ( sk__14 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
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(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl91,plain,
! [X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X1 )
| ( ssItem @ ( sk__21 @ X2 @ X1 @ X3 ) )
| ( ( app @ ( app @ X1 @ ( cons @ X3 @ nil ) ) @ X2 )
!= sk__17 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax38,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ~ ( memberP @ nil @ U ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl92,plain,
! [X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X1 )
| ( memberP @ X1 @ ( sk__21 @ X2 @ X1 @ X3 ) )
| ( ( app @ ( app @ X1 @ ( cons @ X3 @ nil ) ) @ X2 )
!= sk__17 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1446,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ ( sk__21 @ X1 @ nil @ X0 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl92]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl24,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1448,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ ( sk__21 @ X1 @ nil @ X0 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1446,zip_derived_cl24]) ).
thf(zip_derived_cl1453,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 )
| ~ ( ssList @ nil )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl1448]) ).
thf(zip_derived_cl24_001,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1454,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1453,zip_derived_cl24]) ).
thf(zip_derived_cl1455,plain,
! [X0: $i,X1: $i] :
( ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1454]) ).
thf(zip_derived_cl1462,plain,
! [X0: $i,X1: $i] :
( ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__17 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl1455]) ).
thf(zip_derived_cl1500,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__17 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ ( cons @ X1 @ nil ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl1462]) ).
thf(zip_derived_cl1506,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ ( cons @ X1 @ nil ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
!= sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1500]) ).
thf(zip_derived_cl1518,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= sk__17 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl1506]) ).
thf(zip_derived_cl24_002,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1519,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= sk__17 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1518,zip_derived_cl24]) ).
thf(zip_derived_cl1520,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( ( cons @ X0 @ X1 )
!= sk__17 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1519]) ).
thf(zip_derived_cl1524,plain,
! [X0: $i] :
( ( X0 != sk__17 )
| ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssItem @ ( sk__15 @ X0 ) )
| ~ ( ssList @ ( sk__14 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl1520]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ( ssItem @ ( sk__15 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl1551,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__14 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 )
| ( X0 != sk__17 ) ),
inference(clc,[status(thm)],[zip_derived_cl1524,zip_derived_cl28]) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( ssList @ ( sk__14 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl1552,plain,
! [X0: $i] :
( ( X0 != sk__17 )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl30]) ).
thf(zip_derived_cl1581,plain,
( ( nil = sk__17 )
| ( sk__17 != sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl1552]) ).
thf(zip_derived_cl1595,plain,
nil = sk__17,
inference(simplify,[status(thm)],[zip_derived_cl1581]) ).
thf(zip_derived_cl96,plain,
nil != sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1596,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1595,zip_derived_cl96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC240+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TDM7NOehUY true
% 0.13/0.34 % Computer : n028.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 15:26:39 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
% 0.19/0.34 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.19/0.63 % Total configuration time : 435
% 0.19/0.63 % Estimated wc time : 1092
% 0.19/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.54/0.89 % Solved by fo/fo3_bce.sh.
% 1.54/0.89 % BCE start: 101
% 1.54/0.89 % BCE eliminated: 2
% 1.54/0.89 % PE start: 99
% 1.54/0.89 logic: eq
% 1.54/0.89 % PE eliminated: 0
% 1.54/0.89 % done 153 iterations in 0.155s
% 1.54/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.54/0.89 % SZS output start Refutation
% See solution above
% 1.54/0.89
% 1.54/0.89
% 1.54/0.89 % Terminating...
% 2.21/0.95 % Runner terminated.
% 2.21/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------