TSTP Solution File: SWC402+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC402+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.HBcXFZJvNx true
% Computer : n021.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 21:31:21 EDT 2023
% Result : Theorem 1.29s 1.05s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 43 ( 13 unt; 15 typ; 0 def)
% Number of atoms : 128 ( 22 equ; 0 cnn)
% Maximal formula atoms : 29 ( 4 avg)
% Number of connectives : 367 ( 58 ~; 60 |; 26 &; 209 @)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 50 ( 0 ^; 34 !; 16 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__18_type,type,
sk__18: $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(totalorderedP_type,type,
totalorderedP: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__23_type,type,
sk__23: $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(sk__21_type,type,
sk__21: $i ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ( nil = W )
& ( nil != X ) )
| ! [X9: $i] :
( ( memberP @ V @ X9 )
| ~ ( memberP @ U @ X9 )
| ~ ( ssItem @ X9 ) )
| ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ? [X5: $i] :
( ? [X6: $i] :
( ? [X7: $i] :
( ? [X8: $i] :
( ( leq @ X7 @ X5 )
& ( ( app @ X8 @ ( cons @ X7 @ nil ) )
= W )
& ( ssList @ X8 ) )
& ( ssItem @ X7 ) )
& ( ( app @ ( cons @ X5 @ nil ) @ X6 )
= Z )
& ( ssList @ X6 ) )
& ( ssItem @ X5 ) )
| ? [X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ? [X4: $i] :
( ( leq @ X1 @ X3 )
& ( ( app @ ( cons @ X3 @ nil ) @ X4 )
= W )
& ( ssList @ X4 ) )
& ( ssItem @ X3 ) )
& ( ( app @ X2 @ ( cons @ X1 @ nil ) )
= Y )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) )
| ~ ( totalorderedP @ W )
| ( ( app @ ( app @ Y @ W ) @ Z )
!= X )
| ~ ( ssList @ Z ) ) )
| ( 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] :
( ( ( nil = W )
& ( nil != X ) )
| ! [X9: $i] :
( ( memberP @ V @ X9 )
| ~ ( memberP @ U @ X9 )
| ~ ( ssItem @ X9 ) )
| ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ? [X5: $i] :
( ? [X6: $i] :
( ? [X7: $i] :
( ? [X8: $i] :
( ( leq @ X7 @ X5 )
& ( ( app @ X8 @ ( cons @ X7 @ nil ) )
= W )
& ( ssList @ X8 ) )
& ( ssItem @ X7 ) )
& ( ( app @ ( cons @ X5 @ nil ) @ X6 )
= Z )
& ( ssList @ X6 ) )
& ( ssItem @ X5 ) )
| ? [X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ? [X4: $i] :
( ( leq @ X1 @ X3 )
& ( ( app @ ( cons @ X3 @ nil ) @ X4 )
= W )
& ( ssList @ X4 ) )
& ( ssItem @ X3 ) )
& ( ( app @ X2 @ ( cons @ X1 @ nil ) )
= Y )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) )
| ~ ( totalorderedP @ W )
| ( ( app @ ( app @ Y @ W ) @ Z )
!= X )
| ~ ( ssList @ Z ) ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl87,plain,
~ ( memberP @ sk__18 @ sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax26,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
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_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X1 @ X2 )
| ( memberP @ ( app @ X0 @ X1 ) @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl96,plain,
( ( app @ ( app @ sk__21 @ sk__19 ) @ sk__22 )
= sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl90,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl98,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl717,plain,
( ( app @ ( app @ sk__21 @ sk__17 ) @ sk__22 )
= sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl90,zip_derived_cl98]) ).
thf(zip_derived_cl45,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_cl1416,plain,
! [X0: $i] :
( ( memberP @ sk__18 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__22 )
| ~ ( memberP @ ( app @ sk__21 @ sk__17 ) @ X0 )
| ~ ( ssList @ ( app @ sk__21 @ sk__17 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl45]) ).
thf(zip_derived_cl97,plain,
ssList @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1441,plain,
! [X0: $i] :
( ( memberP @ sk__18 @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( memberP @ ( app @ sk__21 @ sk__17 ) @ X0 )
| ~ ( ssList @ ( app @ sk__21 @ sk__17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1416,zip_derived_cl97]) ).
thf(zip_derived_cl1913,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__17 )
| ~ ( memberP @ sk__17 @ X0 )
| ~ ( ssList @ sk__21 )
| ~ ( ssList @ ( app @ sk__21 @ sk__17 ) )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__18 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl1441]) ).
thf(zip_derived_cl85,plain,
ssList @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92,plain,
ssList @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1916,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__17 @ X0 )
| ~ ( ssList @ ( app @ sk__21 @ sk__17 ) )
| ~ ( ssItem @ X0 )
| ( memberP @ sk__18 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1913,zip_derived_cl85,zip_derived_cl92]) ).
thf(zip_derived_cl1917,plain,
! [X0: $i] :
( ( memberP @ sk__18 @ X0 )
| ~ ( ssList @ ( app @ sk__21 @ sk__17 ) )
| ~ ( memberP @ sk__17 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1916]) ).
thf(zip_derived_cl1974,plain,
! [X0: $i] :
( ~ ( ssList @ sk__21 )
| ~ ( ssList @ sk__17 )
| ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__17 @ X0 )
| ( memberP @ sk__18 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl1917]) ).
thf(zip_derived_cl92_001,plain,
ssList @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl85_002,plain,
ssList @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1976,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ sk__17 @ X0 )
| ( memberP @ sk__18 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1974,zip_derived_cl92,zip_derived_cl85]) ).
thf(zip_derived_cl1980,plain,
( ~ ( memberP @ sk__17 @ sk__23 )
| ~ ( ssItem @ sk__23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl1976]) ).
thf(zip_derived_cl88,plain,
memberP @ sk__17 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89,plain,
ssItem @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1981,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1980,zip_derived_cl88,zip_derived_cl89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SWC402+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HBcXFZJvNx true
% 0.11/0.34 % Computer : n021.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Aug 28 14:38:28 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.35 % Python version: Python 3.6.8
% 0.11/0.35 % Running in FO mode
% 0.17/0.61 % Total configuration time : 435
% 0.17/0.61 % Estimated wc time : 1092
% 0.17/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.80/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.80/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.80/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.80/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.80/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/1.05 % Solved by fo/fo3_bce.sh.
% 1.29/1.05 % BCE start: 101
% 1.29/1.05 % BCE eliminated: 2
% 1.29/1.05 % PE start: 99
% 1.29/1.05 logic: eq
% 1.29/1.05 % PE eliminated: 0
% 1.29/1.05 % done 272 iterations in 0.299s
% 1.29/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/1.05 % SZS output start Refutation
% See solution above
% 1.29/1.05
% 1.29/1.05
% 1.29/1.05 % Terminating...
% 1.75/1.14 % Runner terminated.
% 1.75/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------