TSTP Solution File: SWC118+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC118+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.EDD5PDqJuf 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 21:29:17 EDT 2023
% Result : Theorem 0.58s 0.83s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 50 ( 19 unt; 15 typ; 0 def)
% Number of atoms : 126 ( 48 equ; 0 cnn)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 285 ( 42 ~; 41 |; 32 &; 152 @)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 42 ( 0 ^; 24 !; 18 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__21_type,type,
sk__21: $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
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__18_type,type,
sk__18: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
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 )
| ~ ( totalorderedP @ W )
| ? [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 ) )
| ? [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 ) ) ) ) )
| ( ( nil != X )
& ( nil = W ) )
| ( ( nil = V )
& ( nil = U ) )
| ( ( neq @ U @ nil )
& ( segmentP @ V @ U ) ) ) ) ) ) ) ).
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 )
| ~ ( totalorderedP @ W )
| ? [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 ) )
| ? [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 ) ) ) ) )
| ( ( nil != X )
& ( nil = W ) )
| ( ( nil = V )
& ( nil = U ) )
| ( ( neq @ U @ nil )
& ( segmentP @ V @ U ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl99,plain,
( ( app @ ( app @ sk__21 @ sk__19 ) @ sk__22 )
= sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl730,plain,
( ( app @ ( app @ sk__21 @ sk__17 ) @ sk__22 )
= sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl93,zip_derived_cl101]) ).
thf(ax7,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( segmentP @ U @ V )
<=> ? [W: $i] :
( ? [X: $i] :
( ( ( app @ ( app @ W @ V ) @ X )
= U )
& ( ssList @ X ) )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ X0 ) @ X1 )
!= X2 )
| ~ ( ssList @ X3 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl760,plain,
! [X0: $i] :
( ( sk__18 != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__17 )
| ~ ( ssList @ sk__21 )
| ~ ( ssList @ sk__22 )
| ~ ( ssList @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl8]) ).
thf(zip_derived_cl95,plain,
ssList @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
ssList @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89,plain,
ssList @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl768,plain,
! [X0: $i] :
( ( sk__18 != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl760,zip_derived_cl95,zip_derived_cl100,zip_derived_cl89]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl91,plain,
( ~ ( neq @ sk__17 @ nil )
| ~ ( segmentP @ sk__18 @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl711,plain,
( ~ ( ssList @ sk__17 )
| ( sk__17 = nil )
| ~ ( ssList @ nil )
| ~ ( segmentP @ sk__18 @ sk__17 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl91]) ).
thf(zip_derived_cl89_001,plain,
ssList @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl28,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl786,plain,
( ( sk__17 = nil )
| ~ ( segmentP @ sk__18 @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl711,zip_derived_cl89,zip_derived_cl28]) ).
thf(zip_derived_cl94,plain,
( ( nil = sk__20 )
| ( nil != sk__19 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93_002,plain,
sk__17 = sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl712,plain,
( ( nil = sk__20 )
| ( nil != sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl93]) ).
thf(zip_derived_cl101_003,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl714,plain,
( ( sk__18 = nil )
| ( nil != sk__17 ) ),
inference('sup+',[status(thm)],[zip_derived_cl712,zip_derived_cl101]) ).
thf(zip_derived_cl92,plain,
( ( nil != sk__18 )
| ( nil != sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl715,plain,
nil != sk__17,
inference(clc,[status(thm)],[zip_derived_cl714,zip_derived_cl92]) ).
thf(zip_derived_cl787,plain,
~ ( segmentP @ sk__18 @ sk__17 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl786,zip_derived_cl715]) ).
thf(zip_derived_cl789,plain,
( ~ ( ssList @ sk__18 )
| ( sk__18 != sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl787]) ).
thf(zip_derived_cl102,plain,
ssList @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_004,plain,
sk__18 = sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl717,plain,
ssList @ sk__18,
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl101]) ).
thf(zip_derived_cl790,plain,
sk__18 != sk__18,
inference(demod,[status(thm)],[zip_derived_cl789,zip_derived_cl717]) ).
thf(zip_derived_cl791,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl790]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWC118+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EDD5PDqJuf true
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 18:57:54 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
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % 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
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.83 % Solved by fo/fo3_bce.sh.
% 0.58/0.83 % BCE start: 104
% 0.58/0.83 % BCE eliminated: 4
% 0.58/0.83 % PE start: 100
% 0.58/0.83 logic: eq
% 0.58/0.83 % PE eliminated: 1
% 0.58/0.83 % done 56 iterations in 0.050s
% 0.58/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.83 % SZS output start Refutation
% See solution above
% 0.58/0.83
% 0.58/0.83
% 0.58/0.83 % Terminating...
% 0.60/0.96 % Runner terminated.
% 1.43/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------