TSTP Solution File: SWC393+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC393+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.ZV5SkigS8A true
% Computer : n012.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 21:31:17 EDT 2023
% Result : Theorem 33.18s 5.39s
% Output : Refutation 33.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 81 ( 29 unt; 14 typ; 0 def)
% Number of atoms : 179 ( 42 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 456 ( 76 ~; 84 |; 6 &; 268 @)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 49 ( 0 ^; 47 !; 2 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i > $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__50_type,type,
sk__50: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__48_type,type,
sk__48: $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] :
( ( ssItem @ Y )
=> ( ~ ( memberP @ U @ Y )
| ( memberP @ V @ Y ) ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ( neq @ X @ nil )
& ( ~ ( neq @ W @ nil )
| ~ ( segmentP @ X @ W ) ) ) ) ) ) ) ) ).
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] :
( ( ssItem @ Y )
=> ( ~ ( memberP @ U @ Y )
| ( memberP @ V @ Y ) ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ( neq @ X @ nil )
& ( ~ ( neq @ W @ nil )
| ~ ( segmentP @ X @ W ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl193,plain,
memberP @ sk__47 @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198,plain,
( ( nil = sk__49 )
| ( nil != sk__50 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204,plain,
( ( nil = sk__47 )
| ( nil != sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl195,zip_derived_cl199]) ).
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(zip_derived_cl197,plain,
( ~ ( neq @ sk__50 @ nil )
| ( segmentP @ sk__50 @ sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_001,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_002,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195_003,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl206,plain,
( ~ ( neq @ sk__48 @ nil )
| ( segmentP @ sk__48 @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl199,zip_derived_cl199,zip_derived_cl195]) ).
thf(zip_derived_cl450,plain,
( ~ ( ssList @ sk__48 )
| ( sk__48 = nil )
| ~ ( ssList @ nil )
| ( segmentP @ sk__48 @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl206]) ).
thf(zip_derived_cl200,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_004,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl454,plain,
( ( sk__48 = nil )
| ( segmentP @ sk__48 @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl203,zip_derived_cl83]) ).
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_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( segmentP @ X1 @ X0 )
| ( ( app @ ( app @ ( sk__7 @ X0 @ X1 ) @ X0 ) @ ( sk__8 @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl456,plain,
( ( sk__48 = nil )
| ~ ( ssList @ sk__47 )
| ( ( app @ ( app @ ( sk__7 @ sk__47 @ sk__48 ) @ sk__47 ) @ ( sk__8 @ sk__47 @ sk__48 ) )
= sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl19]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203_005,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl458,plain,
( ( sk__48 = nil )
| ( ( app @ ( app @ ( sk__7 @ sk__47 @ sk__48 ) @ sk__47 ) @ ( sk__8 @ sk__47 @ sk__48 ) )
= sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl456,zip_derived_cl190,zip_derived_cl203]) ).
thf(ax26,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl193_006,plain,
memberP @ sk__47 @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl109,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_cl1131,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( memberP @ ( app @ X0 @ sk__47 ) @ sk__51 )
| ~ ( ssList @ sk__47 )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl109]) ).
thf(zip_derived_cl190_007,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1145,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( memberP @ ( app @ X0 @ sk__47 ) @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1131,zip_derived_cl190,zip_derived_cl194]) ).
thf(zip_derived_cl108,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_cl1159,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ ( app @ X0 @ sk__47 ) )
| ( memberP @ ( app @ ( app @ X0 @ sk__47 ) @ X1 ) @ sk__51 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1145,zip_derived_cl108]) ).
thf(zip_derived_cl194_008,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1168,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ ( app @ X0 @ sk__47 ) )
| ( memberP @ ( app @ ( app @ X0 @ sk__47 ) @ X1 ) @ sk__51 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1159,zip_derived_cl194]) ).
thf(zip_derived_cl18301,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ sk__47 )
| ~ ( ssList @ X0 )
| ( memberP @ ( app @ ( app @ X0 @ sk__47 ) @ X1 ) @ sk__51 )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl1168]) ).
thf(zip_derived_cl190_009,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18322,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( memberP @ ( app @ ( app @ X0 @ sk__47 ) @ X1 ) @ sk__51 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl18301,zip_derived_cl190]) ).
thf(zip_derived_cl18323,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( memberP @ ( app @ ( app @ X0 @ sk__47 ) @ X1 ) @ sk__51 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl18322]) ).
thf(zip_derived_cl25677,plain,
( ( sk__48 = nil )
| ~ ( ssList @ ( sk__8 @ sk__47 @ sk__48 ) )
| ( memberP @ sk__48 @ sk__51 )
| ~ ( ssList @ ( sk__7 @ sk__47 @ sk__48 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl458,zip_derived_cl18323]) ).
thf(zip_derived_cl192,plain,
~ ( memberP @ sk__48 @ sk__51 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25690,plain,
( ( sk__48 = nil )
| ~ ( ssList @ ( sk__8 @ sk__47 @ sk__48 ) )
| ~ ( ssList @ ( sk__7 @ sk__47 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25677,zip_derived_cl192]) ).
thf(zip_derived_cl454_010,plain,
( ( sk__48 = nil )
| ( segmentP @ sk__48 @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl203,zip_derived_cl83]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( segmentP @ X1 @ X0 )
| ( ssList @ ( sk__8 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl455,plain,
( ( sk__48 = nil )
| ~ ( ssList @ sk__47 )
| ( ssList @ ( sk__8 @ sk__47 @ sk__48 ) )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl18]) ).
thf(zip_derived_cl190_011,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203_012,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl457,plain,
( ( sk__48 = nil )
| ( ssList @ ( sk__8 @ sk__47 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl455,zip_derived_cl190,zip_derived_cl203]) ).
thf(zip_derived_cl25707,plain,
( ~ ( ssList @ ( sk__7 @ sk__47 @ sk__48 ) )
| ( sk__48 = nil ) ),
inference(clc,[status(thm)],[zip_derived_cl25690,zip_derived_cl457]) ).
thf(zip_derived_cl454_013,plain,
( ( sk__48 = nil )
| ( segmentP @ sk__48 @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl203,zip_derived_cl83]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( segmentP @ X1 @ X0 )
| ( ssList @ ( sk__7 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl475,plain,
( ( sk__48 = nil )
| ~ ( ssList @ sk__47 )
| ( ssList @ ( sk__7 @ sk__47 @ sk__48 ) )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl20]) ).
thf(zip_derived_cl190_014,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203_015,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl480,plain,
( ( sk__48 = nil )
| ( ssList @ ( sk__7 @ sk__47 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl190,zip_derived_cl203]) ).
thf(zip_derived_cl25708,plain,
sk__48 = nil,
inference(clc,[status(thm)],[zip_derived_cl25707,zip_derived_cl480]) ).
thf(zip_derived_cl25712,plain,
( ( nil = sk__47 )
| ( nil != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl25708]) ).
thf(zip_derived_cl25713,plain,
nil = sk__47,
inference(simplify,[status(thm)],[zip_derived_cl25712]) ).
thf(zip_derived_cl192_016,plain,
~ ( memberP @ sk__48 @ sk__51 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25708_017,plain,
sk__48 = nil,
inference(clc,[status(thm)],[zip_derived_cl25707,zip_derived_cl480]) ).
thf(zip_derived_cl25709,plain,
~ ( memberP @ nil @ sk__51 ),
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl25708]) ).
thf(zip_derived_cl25718,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl25713,zip_derived_cl25709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC393+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZV5SkigS8A true
% 0.13/0.34 % Computer : n012.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 17:54:24 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 33.18/5.39 % Solved by fo/fo13.sh.
% 33.18/5.39 % done 4837 iterations in 4.545s
% 33.18/5.39 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 33.18/5.39 % SZS output start Refutation
% See solution above
% 33.18/5.39
% 33.18/5.39
% 33.18/5.39 % Terminating...
% 33.64/5.47 % Runner terminated.
% 33.64/5.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------