TSTP Solution File: SWC380+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC380+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.nC57LqAGn9 true
% Computer : n007.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 21:31:10 EDT 2023
% Result : Theorem 0.56s 0.81s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 74 ( 27 unt; 13 typ; 0 def)
% Number of atoms : 161 ( 41 equ; 0 cnn)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 410 ( 77 ~; 72 |; 8 &; 233 @)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 36 !; 4 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ( memberP @ V @ Y )
& ( ( cons @ Y @ nil )
= U )
& ( ssItem @ Y ) )
| ! [Z: $i] :
( ( ssItem @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( cons @ Z @ nil )
!= W )
| ( ( app @ ( cons @ Z @ nil ) @ X1 )
!= X ) ) ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ) ).
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 )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ( memberP @ V @ Y )
& ( ( cons @ Y @ nil )
= U )
& ( ssItem @ Y ) )
| ! [Z: $i] :
( ( ssItem @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( cons @ Z @ nil )
!= W )
| ( ( app @ ( cons @ Z @ nil ) @ X1 )
!= X ) ) ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl47,plain,
( ( ( cons @ sk__10 @ nil )
= sk__8 )
| ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl380,plain,
( ( ( cons @ sk__10 @ nil )
= sk__6 )
| ( neq @ sk__7 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl40]) ).
thf(zip_derived_cl48,plain,
( ( ( cons @ sk__10 @ nil )
= sk__8 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_001,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl362,plain,
( ( ( cons @ sk__10 @ nil )
= sk__6 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl40,zip_derived_cl53]) ).
thf(zip_derived_cl381,plain,
( ( cons @ sk__10 @ nil )
= sk__6 ),
inference(clc,[status(thm)],[zip_derived_cl380,zip_derived_cl362]) ).
thf(ax3,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( memberP @ U @ V )
<=> ? [W: $i] :
( ? [X: $i] :
( ( ( app @ W @ ( cons @ V @ X ) )
= U )
& ( ssList @ X ) )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ X3 @ ( cons @ X0 @ X1 ) )
!= X2 )
| ~ ( ssList @ X3 )
| ( memberP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl478,plain,
! [X0: $i,X1: $i] :
( ( ( app @ X1 @ sk__6 )
!= X0 )
| ~ ( ssList @ X0 )
| ( memberP @ X0 @ sk__10 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl8]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl12,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl45,plain,
( ( ssItem @ sk__10 )
| ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
( ( ssItem @ sk__10 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53_002,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl342,plain,
( ( ssItem @ sk__10 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl53]) ).
thf(zip_derived_cl361,plain,
ssItem @ sk__10,
inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl342]) ).
thf(zip_derived_cl485,plain,
! [X0: $i,X1: $i] :
( ( ( app @ X1 @ sk__6 )
!= X0 )
| ~ ( ssList @ X0 )
| ( memberP @ X0 @ sk__10 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl478,zip_derived_cl12,zip_derived_cl361]) ).
thf(zip_derived_cl591,plain,
! [X0: $i] :
( ( sk__6 != X0 )
| ~ ( ssList @ sk__6 )
| ~ ( ssList @ nil )
| ( memberP @ X0 @ sk__10 )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl485]) ).
thf(zip_derived_cl38,plain,
ssList @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_003,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl595,plain,
! [X0: $i] :
( ( sk__6 != X0 )
| ( memberP @ X0 @ sk__10 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl38,zip_derived_cl12]) ).
thf(zip_derived_cl362_004,plain,
( ( ( cons @ sk__10 @ nil )
= sk__6 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl40,zip_derived_cl53]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ nil )
!= sk__6 )
| ~ ( memberP @ sk__7 @ X0 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53_005,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl376,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ nil )
!= sk__6 )
| ~ ( memberP @ sk__7 @ X0 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl53]) ).
thf(zip_derived_cl377,plain,
( ( sk__6 != sk__6 )
| ~ ( neq @ sk__7 @ nil )
| ~ ( neq @ sk__7 @ nil )
| ~ ( memberP @ sk__7 @ sk__10 )
| ~ ( ssItem @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl376]) ).
thf(zip_derived_cl361_006,plain,
ssItem @ sk__10,
inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl342]) ).
thf(zip_derived_cl378,plain,
( ( sk__6 != sk__6 )
| ~ ( neq @ sk__7 @ nil )
| ~ ( neq @ sk__7 @ nil )
| ~ ( memberP @ sk__7 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl377,zip_derived_cl361]) ).
thf(zip_derived_cl379,plain,
( ~ ( memberP @ sk__7 @ sk__10 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl378]) ).
thf(zip_derived_cl41,plain,
( ( neq @ sk__7 @ nil )
| ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl389,plain,
neq @ sk__7 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl391,plain,
~ ( memberP @ sk__7 @ sk__10 ),
inference(demod,[status(thm)],[zip_derived_cl379,zip_derived_cl389]) ).
thf(zip_derived_cl50,plain,
( ( ( app @ ( cons @ sk__10 @ nil ) @ sk__11 )
= sk__9 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl381_007,plain,
( ( cons @ sk__10 @ nil )
= sk__6 ),
inference(clc,[status(thm)],[zip_derived_cl380,zip_derived_cl362]) ).
thf(zip_derived_cl53_008,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53_009,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl389_010,plain,
neq @ sk__7 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl407,plain,
( ( app @ sk__6 @ sk__11 )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl381,zip_derived_cl53,zip_derived_cl53,zip_derived_cl389]) ).
thf(ax36,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( app @ V @ W ) @ U )
<=> ( ( memberP @ V @ U )
| ( memberP @ W @ U ) ) ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X0 @ X1 )
| ( memberP @ ( app @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl925,plain,
! [X0: $i] :
( ( memberP @ sk__7 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__11 )
| ~ ( memberP @ sk__6 @ X0 )
| ~ ( ssList @ sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl407,zip_derived_cl24]) ).
thf(zip_derived_cl51,plain,
( ( ssList @ sk__11 )
| ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52,plain,
( ( ssList @ sk__11 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53_011,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl343,plain,
( ( ssList @ sk__11 )
| ~ ( neq @ sk__7 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl53]) ).
thf(zip_derived_cl369,plain,
ssList @ sk__11,
inference(clc,[status(thm)],[zip_derived_cl51,zip_derived_cl343]) ).
thf(zip_derived_cl38_012,plain,
ssList @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl935,plain,
! [X0: $i] :
( ( memberP @ sk__7 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__6 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl925,zip_derived_cl369,zip_derived_cl38]) ).
thf(zip_derived_cl1070,plain,
( ~ ( memberP @ sk__6 @ sk__10 )
| ~ ( ssItem @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl391,zip_derived_cl935]) ).
thf(zip_derived_cl361_013,plain,
ssItem @ sk__10,
inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl342]) ).
thf(zip_derived_cl1071,plain,
~ ( memberP @ sk__6 @ sk__10 ),
inference(demod,[status(thm)],[zip_derived_cl1070,zip_derived_cl361]) ).
thf(zip_derived_cl1074,plain,
( ~ ( ssList @ sk__6 )
| ( sk__6 != sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl1071]) ).
thf(zip_derived_cl38_014,plain,
ssList @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1075,plain,
sk__6 != sk__6,
inference(demod,[status(thm)],[zip_derived_cl1074,zip_derived_cl38]) ).
thf(zip_derived_cl1076,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1075]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC380+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.nC57LqAGn9 true
% 0.13/0.34 % Computer : n007.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 14:55:43 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
% 0.21/0.34 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.81 % Solved by fo/fo3_bce.sh.
% 0.56/0.81 % BCE start: 56
% 0.56/0.81 % BCE eliminated: 0
% 0.56/0.81 % PE start: 56
% 0.56/0.81 logic: eq
% 0.56/0.81 % PE eliminated: 0
% 0.56/0.81 % done 165 iterations in 0.079s
% 0.56/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.81 % SZS output start Refutation
% See solution above
% 0.56/0.81
% 0.56/0.81
% 0.56/0.81 % Terminating...
% 1.45/0.88 % Runner terminated.
% 1.49/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------