TSTP Solution File: SWC384+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC384+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.8flR5AJfWQ true
% Computer : n024.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 21:31:12 EDT 2023
% Result : Theorem 1.41s 0.84s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 85 ( 33 unt; 17 typ; 0 def)
% Number of atoms : 175 ( 69 equ; 0 cnn)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 392 ( 74 ~; 68 |; 15 &; 211 @)
% ( 3 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 48 ( 0 ^; 41 !; 7 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__24_type,type,
sk__24: $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(nil_type,type,
nil: $i ).
thf(lt_type,type,
lt: $i > $i > $o ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__26_type,type,
sk__26: $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(singletonP_type,type,
singletonP: $i > $o ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__25_type,type,
sk__25: $i ).
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] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( cons @ Y @ nil )
!= W )
| ( ( app @ ( app @ Z @ W ) @ X1 )
!= X )
| ? [X2: $i] :
( ( lt @ Y @ X2 )
& ( memberP @ Z @ X2 )
& ( ssItem @ X2 ) )
| ? [X3: $i] :
( ( lt @ X3 @ Y )
& ( memberP @ X1 @ X3 )
& ( ssItem @ X3 ) ) ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) )
| ( ( singletonP @ U )
& ( 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 )
| ~ ( neq @ V @ nil )
| ( ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( cons @ Y @ nil )
!= W )
| ( ( app @ ( app @ Z @ W ) @ X1 )
!= X )
| ? [X2: $i] :
( ( lt @ Y @ X2 )
& ( memberP @ Z @ X2 )
& ( ssItem @ X2 ) )
| ? [X3: $i] :
( ( lt @ X3 @ Y )
& ( memberP @ X1 @ X3 )
& ( ssItem @ X3 ) ) ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) )
| ( ( singletonP @ U )
& ( segmentP @ V @ U ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl110,plain,
( ( ( cons @ sk__24 @ nil )
= sk__22 )
| ( nil = sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl864,plain,
( ( ( cons @ sk__24 @ nil )
= sk__20 )
| ( nil = sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl105,zip_derived_cl120]) ).
thf(zip_derived_cl104,plain,
neq @ sk__21 @ nil,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl841,plain,
( ~ ( ssList @ sk__21 )
| ( sk__21 != nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl104,zip_derived_cl32]) ).
thf(zip_derived_cl850,plain,
( ( sk__21 != nil )
| ~ ( ssList @ nil ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl841]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl35,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl851,plain,
sk__21 != nil,
inference(demod,[status(thm)],[zip_derived_cl850,zip_derived_cl35]) ).
thf(zip_derived_cl865,plain,
( ( cons @ sk__24 @ nil )
= sk__20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl864,zip_derived_cl851]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(zip_derived_cl972,plain,
! [X0: $i] :
( ( ( cons @ sk__24 @ X0 )
= ( app @ sk__20 @ X0 ) )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ sk__24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl865,zip_derived_cl88]) ).
thf(zip_derived_cl118,plain,
( ( ssItem @ sk__24 )
| ( nil = sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_001,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl860,plain,
( ( ssItem @ sk__24 )
| ( nil = sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl120]) ).
thf(zip_derived_cl851_002,plain,
sk__21 != nil,
inference(demod,[status(thm)],[zip_derived_cl850,zip_derived_cl35]) ).
thf(zip_derived_cl861,plain,
ssItem @ sk__24,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl860,zip_derived_cl851]) ).
thf(zip_derived_cl975,plain,
! [X0: $i] :
( ( ( cons @ sk__24 @ X0 )
= ( app @ sk__20 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl972,zip_derived_cl861]) ).
thf(zip_derived_cl114,plain,
( ( ( app @ ( app @ sk__25 @ sk__22 ) @ sk__26 )
= sk__23 )
| ( nil = sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105_003,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_004,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_005,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl995,plain,
( ( ( app @ ( app @ sk__25 @ sk__20 ) @ sk__26 )
= sk__21 )
| ( nil = sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl105,zip_derived_cl120,zip_derived_cl120]) ).
thf(zip_derived_cl851_006,plain,
sk__21 != nil,
inference(demod,[status(thm)],[zip_derived_cl850,zip_derived_cl35]) ).
thf(zip_derived_cl996,plain,
( ( app @ ( app @ sk__25 @ sk__20 ) @ sk__26 )
= sk__21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl995,zip_derived_cl851]) ).
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_cl15,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_cl1088,plain,
! [X0: $i] :
( ( sk__21 != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__20 )
| ~ ( ssList @ sk__25 )
| ~ ( ssList @ sk__26 )
| ~ ( ssList @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl996,zip_derived_cl15]) ).
thf(zip_derived_cl106,plain,
( ( ssList @ sk__25 )
| ( nil = sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_007,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl852,plain,
( ( ssList @ sk__25 )
| ( nil = sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl120]) ).
thf(zip_derived_cl851_008,plain,
sk__21 != nil,
inference(demod,[status(thm)],[zip_derived_cl850,zip_derived_cl35]) ).
thf(zip_derived_cl853,plain,
ssList @ sk__25,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl852,zip_derived_cl851]) ).
thf(zip_derived_cl116,plain,
( ( ssList @ sk__26 )
| ( nil = sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_009,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl856,plain,
( ( ssList @ sk__26 )
| ( nil = sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl120]) ).
thf(zip_derived_cl851_010,plain,
sk__21 != nil,
inference(demod,[status(thm)],[zip_derived_cl850,zip_derived_cl35]) ).
thf(zip_derived_cl857,plain,
ssList @ sk__26,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl856,zip_derived_cl851]) ).
thf(zip_derived_cl101,plain,
ssList @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1102,plain,
! [X0: $i] :
( ( sk__21 != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1088,zip_derived_cl853,zip_derived_cl857,zip_derived_cl101]) ).
thf(ax4,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( singletonP @ U )
<=> ? [V: $i] :
( ( ( cons @ V @ nil )
= U )
& ( ssItem @ V ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 )
| ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl103,plain,
( ~ ( singletonP @ sk__20 )
| ~ ( segmentP @ sk__21 @ sk__20 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl845,plain,
! [X0: $i] :
( ~ ( ssList @ sk__20 )
| ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ nil )
!= sk__20 )
| ~ ( segmentP @ sk__21 @ sk__20 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl103]) ).
thf(zip_derived_cl101_011,plain,
ssList @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl911,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ nil )
!= sk__20 )
| ~ ( segmentP @ sk__21 @ sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl845,zip_derived_cl101]) ).
thf(zip_derived_cl1145,plain,
! [X0: $i] :
( ~ ( ssList @ sk__21 )
| ( sk__21 != sk__21 )
| ( ( cons @ X0 @ nil )
!= sk__20 )
| ~ ( ssItem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1102,zip_derived_cl911]) ).
thf(zip_derived_cl121,plain,
ssList @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_012,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl847,plain,
ssList @ sk__21,
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl120]) ).
thf(zip_derived_cl1153,plain,
! [X0: $i] :
( ( sk__21 != sk__21 )
| ( ( cons @ X0 @ nil )
!= sk__20 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1145,zip_derived_cl847]) ).
thf(zip_derived_cl1154,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ nil )
!= sk__20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1153]) ).
thf(zip_derived_cl1155,plain,
( ( ( app @ sk__20 @ nil )
!= sk__20 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ sk__24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl975,zip_derived_cl1154]) ).
thf(zip_derived_cl975_013,plain,
! [X0: $i] :
( ( ( cons @ sk__24 @ X0 )
= ( app @ sk__20 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl972,zip_derived_cl861]) ).
thf(zip_derived_cl865_014,plain,
( ( cons @ sk__24 @ nil )
= sk__20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl864,zip_derived_cl851]) ).
thf(zip_derived_cl1049,plain,
( ( ( app @ sk__20 @ nil )
= sk__20 )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl975,zip_derived_cl865]) ).
thf(zip_derived_cl35_015,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1065,plain,
( ( app @ sk__20 @ nil )
= sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl1049,zip_derived_cl35]) ).
thf(zip_derived_cl35_016,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl861_017,plain,
ssItem @ sk__24,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl860,zip_derived_cl851]) ).
thf(zip_derived_cl1157,plain,
sk__20 != sk__20,
inference(demod,[status(thm)],[zip_derived_cl1155,zip_derived_cl1065,zip_derived_cl35,zip_derived_cl861]) ).
thf(zip_derived_cl1158,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC384+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.8flR5AJfWQ true
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 17:51:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.97/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.34/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.34/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.34/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.34/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.34/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.41/0.84 % Solved by fo/fo3_bce.sh.
% 1.41/0.84 % BCE start: 123
% 1.41/0.84 % BCE eliminated: 4
% 1.41/0.84 % PE start: 119
% 1.41/0.84 logic: eq
% 1.41/0.84 % PE eliminated: 4
% 1.41/0.84 % done 111 iterations in 0.072s
% 1.41/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.41/0.84 % SZS output start Refutation
% See solution above
% 1.41/0.84
% 1.41/0.84
% 1.41/0.84 % Terminating...
% 1.75/0.95 % Runner terminated.
% 1.75/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------