TSTP Solution File: SWC067+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC067+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.U2Fff8LgqC true
% Computer : n005.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 21:28:54 EDT 2023
% Result : Theorem 3.42s 1.04s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 79 ( 31 unt; 15 typ; 0 def)
% Number of atoms : 196 ( 63 equ; 0 cnn)
% Maximal formula atoms : 33 ( 3 avg)
% Number of connectives : 436 ( 70 ~; 72 |; 37 &; 234 @)
% ( 2 <=>; 21 =>; 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 : 57 ( 0 ^; 37 !; 20 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__50_type,type,
sk__50: $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__48_type,type,
sk__48: $i ).
thf(sk__52_type,type,
sk__52: $i ).
thf(sk__47_type,type,
sk__47: $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__49_type,type,
sk__49: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(strictorderedP_type,type,
strictorderedP: $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
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 )
| ~ ( strictorderedP @ W )
| ? [X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ? [X4: $i] :
( ( lt @ 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] :
( ( lt @ 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 @ V @ nil )
| ? [X9: $i] :
( ( segmentP @ U @ X9 )
& ( segmentP @ V @ X9 )
& ( neq @ X9 @ nil )
& ( ssList @ X9 ) ) ) ) ) ) ) ) ) ).
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 )
| ~ ( strictorderedP @ W )
| ? [X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ? [X4: $i] :
( ( lt @ 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] :
( ( lt @ 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 @ V @ nil )
| ? [X9: $i] :
( ( segmentP @ U @ X9 )
& ( segmentP @ V @ X9 )
& ( neq @ X9 @ nil )
& ( ssList @ X9 ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl194,plain,
( ( nil != sk__47 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax57,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ nil ) ) ).
thf(zip_derived_cl136,plain,
! [X0: $i] :
( ( segmentP @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax57]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(ax55,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ U ) ) ).
thf(zip_derived_cl134,plain,
! [X0: $i] :
( ( segmentP @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax55]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl665,plain,
( ~ ( ssList @ sk__47 )
| ( nil = sk__48 )
| ~ ( segmentP @ sk__48 @ sk__47 )
| ~ ( neq @ sk__47 @ nil )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl193]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl202,plain,
( ( app @ ( app @ sk__51 @ sk__49 ) @ sk__52 )
= sk__50 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl211,plain,
( ( app @ ( app @ sk__51 @ sk__47 ) @ sk__52 )
= sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl196,zip_derived_cl204]) ).
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_cl21,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_cl577,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ~ ( ssList @ sk__52 )
| ( sk__48 != X0 )
| ~ ( ssList @ sk__51 )
| ( segmentP @ X0 @ sk__47 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl211,zip_derived_cl21]) ).
thf(zip_derived_cl190_001,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
ssList @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198,plain,
ssList @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl587,plain,
! [X0: $i] :
( ( sk__48 != X0 )
| ( segmentP @ X0 @ sk__47 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl577,zip_derived_cl190,zip_derived_cl203,zip_derived_cl198]) ).
thf(zip_derived_cl597,plain,
( ~ ( ssList @ sk__48 )
| ( segmentP @ sk__48 @ sk__47 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl587]) ).
thf(zip_derived_cl205,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204_002,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl209,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl204]) ).
thf(zip_derived_cl598,plain,
segmentP @ sk__48 @ sk__47,
inference(demod,[status(thm)],[zip_derived_cl597,zip_derived_cl209]) ).
thf(zip_derived_cl190_003,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl667,plain,
( ( nil = sk__48 )
| ~ ( neq @ sk__47 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl665,zip_derived_cl190,zip_derived_cl598,zip_derived_cl190]) ).
thf(zip_derived_cl670,plain,
( ~ ( ssList @ sk__47 )
| ( sk__47 = nil )
| ~ ( ssList @ nil )
| ( nil = sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl667]) ).
thf(zip_derived_cl190_004,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl671,plain,
( ( sk__47 = nil )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl670,zip_derived_cl190,zip_derived_cl83]) ).
thf(zip_derived_cl598_005,plain,
segmentP @ sk__48 @ sk__47,
inference(demod,[status(thm)],[zip_derived_cl597,zip_derived_cl209]) ).
thf(ax54,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( segmentP @ U @ V )
& ( segmentP @ V @ U ) )
=> ( U = V ) ) ) ) ).
thf(zip_derived_cl133,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ~ ( segmentP @ X0 @ X1 )
| ~ ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax54]) ).
thf(zip_derived_cl629,plain,
( ~ ( ssList @ sk__48 )
| ( sk__47 = sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl133]) ).
thf(zip_derived_cl209_006,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl204]) ).
thf(zip_derived_cl190_007,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl634,plain,
( ( sk__47 = sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl629,zip_derived_cl209,zip_derived_cl190]) ).
thf(zip_derived_cl681,plain,
( ( sk__47 = nil )
| ( sk__47 = nil )
| ~ ( segmentP @ sk__47 @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl671,zip_derived_cl634]) ).
thf(zip_derived_cl685,plain,
( ~ ( segmentP @ sk__47 @ nil )
| ( sk__47 = nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl681]) ).
thf(zip_derived_cl688,plain,
( ~ ( ssList @ sk__47 )
| ( sk__47 = nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl685]) ).
thf(zip_derived_cl190_008,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl689,plain,
sk__47 = nil,
inference(demod,[status(thm)],[zip_derived_cl688,zip_derived_cl190]) ).
thf(zip_derived_cl692,plain,
( ( nil != nil )
| ( neq @ sk__48 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl689]) ).
thf(zip_derived_cl693,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl692]) ).
thf(zip_derived_cl204_009,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl197,plain,
( ( nil = sk__50 )
| ( nil != sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196_010,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl210,plain,
( ( nil = sk__50 )
| ( nil != sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196]) ).
thf(zip_derived_cl689_011,plain,
sk__47 = nil,
inference(demod,[status(thm)],[zip_derived_cl688,zip_derived_cl190]) ).
thf(zip_derived_cl698,plain,
( ( nil = sk__50 )
| ( nil != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl689]) ).
thf(zip_derived_cl699,plain,
nil = sk__50,
inference(simplify,[status(thm)],[zip_derived_cl698]) ).
thf(zip_derived_cl712,plain,
sk__48 = nil,
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl699]) ).
thf(zip_derived_cl714,plain,
neq @ nil @ nil,
inference(demod,[status(thm)],[zip_derived_cl693,zip_derived_cl712]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl220,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl221,plain,
! [X0: $i] :
( ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl716,plain,
~ ( ssList @ nil ),
inference('s_sup-',[status(thm)],[zip_derived_cl714,zip_derived_cl221]) ).
thf(zip_derived_cl83_012,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl717,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC067+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.U2Fff8LgqC true
% 0.15/0.33 % Computer : n005.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon Aug 28 16:52:23 EDT 2023
% 0.15/0.33 % CPUTime :
% 0.15/0.33 % Running portfolio for 300 s
% 0.15/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.33 % Number of cores: 8
% 0.15/0.34 % Python version: Python 3.6.8
% 0.15/0.34 % Running in FO mode
% 0.18/0.54 % Total configuration time : 435
% 0.18/0.54 % Estimated wc time : 1092
% 0.18/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.18/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 3.42/1.04 % Solved by fo/fo13.sh.
% 3.42/1.04 % done 232 iterations in 0.288s
% 3.42/1.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.42/1.04 % SZS output start Refutation
% See solution above
% 3.42/1.04
% 3.42/1.04
% 3.42/1.04 % Terminating...
% 3.72/1.17 % Runner terminated.
% 3.72/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------