TSTP Solution File: SWC222+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC222+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.PKsPRgdu8B true
% Computer : n019.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 21:29:59 EDT 2023
% Result : Theorem 1.38s 1.00s
% Output : Refutation 1.38s
% 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 : 169 ( 47 equ; 0 cnn)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 515 ( 104 ~; 93 |; 20 &; 281 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 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 : 73 ( 0 ^; 63 !; 10 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__21_type,type,
sk__21: $i > $i > $i > $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__14_type,type,
sk__14: $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__15_type,type,
sk__15: $i > $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ! [X3: $i] :
( ( ssItem @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ! [X5: $i] :
( ? [X6: $i] :
( ( lt @ X3 @ X6 )
& ( memberP @ X5 @ X6 )
& ( memberP @ X4 @ X6 )
& ~ ( leq @ X3 @ X6 )
& ( ssItem @ X6 ) )
| ( ( app @ ( app @ X4 @ ( cons @ X3 @ nil ) ) @ X5 )
!= W )
| ~ ( ssList @ X5 ) ) ) )
& ( nil != W ) )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ! [X2: $i] :
( ( leq @ X2 @ Y )
| ~ ( leq @ Y @ X2 )
| ~ ( memberP @ X1 @ X2 )
| ~ ( memberP @ Z @ X2 )
| ~ ( ssItem @ X2 ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( nil = U )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ! [X3: $i] :
( ( ssItem @ X3 )
=> ! [X4: $i] :
( ( ssList @ X4 )
=> ! [X5: $i] :
( ? [X6: $i] :
( ( lt @ X3 @ X6 )
& ( memberP @ X5 @ X6 )
& ( memberP @ X4 @ X6 )
& ~ ( leq @ X3 @ X6 )
& ( ssItem @ X6 ) )
| ( ( app @ ( app @ X4 @ ( cons @ X3 @ nil ) ) @ X5 )
!= W )
| ~ ( ssList @ X5 ) ) ) )
& ( nil != W ) )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ! [X2: $i] :
( ( leq @ X2 @ Y )
| ~ ( leq @ Y @ X2 )
| ~ ( memberP @ X1 @ X2 )
| ~ ( memberP @ Z @ X2 )
| ~ ( ssItem @ X2 ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( nil = U )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ),
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_cl94,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_cl95,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_cl1958,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_cl95]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl24,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1961,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_cl1958,zip_derived_cl24]) ).
thf(zip_derived_cl1969,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_cl94,zip_derived_cl1961]) ).
thf(zip_derived_cl24_001,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1970,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_cl1969,zip_derived_cl24]) ).
thf(zip_derived_cl1971,plain,
! [X0: $i,X1: $i] :
( ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__17 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1970]) ).
thf(zip_derived_cl1978,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_cl1971]) ).
thf(zip_derived_cl2131,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_cl1978]) ).
thf(zip_derived_cl2137,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ ( cons @ X1 @ nil ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
!= sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2131]) ).
thf(zip_derived_cl2139,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_cl2137]) ).
thf(zip_derived_cl24_002,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2140,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= sk__17 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl24]) ).
thf(zip_derived_cl2141,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( ( cons @ X0 @ X1 )
!= sk__17 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2140]) ).
thf(zip_derived_cl2155,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_cl2141]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ( ssItem @ ( sk__15 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl2204,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__14 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 )
| ( X0 != sk__17 ) ),
inference(clc,[status(thm)],[zip_derived_cl2155,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_cl2205,plain,
! [X0: $i] :
( ( X0 != sk__17 )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2204,zip_derived_cl30]) ).
thf(zip_derived_cl2236,plain,
( ( nil = sk__17 )
| ( sk__17 != sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl2205]) ).
thf(zip_derived_cl2252,plain,
nil = sk__17,
inference(simplify,[status(thm)],[zip_derived_cl2236]) ).
thf(zip_derived_cl99,plain,
nil != sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2253,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2252,zip_derived_cl99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC222+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PKsPRgdu8B true
% 0.14/0.35 % Computer : n019.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 16:32:13 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
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /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
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.38/1.00 % Solved by fo/fo3_bce.sh.
% 1.38/1.00 % BCE start: 104
% 1.38/1.00 % BCE eliminated: 2
% 1.38/1.00 % PE start: 102
% 1.38/1.00 logic: eq
% 1.38/1.00 % PE eliminated: 0
% 1.38/1.00 % done 272 iterations in 0.228s
% 1.38/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/1.00 % SZS output start Refutation
% See solution above
% 1.38/1.00
% 1.38/1.00
% 1.38/1.00 % Terminating...
% 1.75/1.06 % Runner terminated.
% 1.75/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------