TSTP Solution File: SWC225+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC225+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.FDog0tMHcp true
% Computer : n002.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 21:30:01 EDT 2023
% Result : Theorem 2.34s 1.03s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 64 ( 10 unt; 12 typ; 0 def)
% Number of atoms : 217 ( 63 equ; 0 cnn)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 671 ( 121 ~; 118 |; 28 &; 385 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 100 ( 0 ^; 80 !; 20 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__18_type,type,
sk__18: $i > $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(equalelemsP_type,type,
equalelemsP: $i > $o ).
thf(sk__27_type,type,
sk__27: $i > $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(sk__19_type,type,
sk__19: $i > $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
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 ) )
| ! [X3: $i] :
( ( ssList @ X3 )
=> ! [X4: $i] :
( ? [X8: $i] :
( ? [X9: $i] :
( ? [X10: $i] :
( ( ( app @ X10 @ ( cons @ X8 @ nil ) )
= W )
& ( ssList @ X10 ) )
& ( ( app @ ( cons @ X8 @ nil ) @ X9 )
= X4 )
& ( ssList @ X9 ) )
& ( ssItem @ X8 ) )
| ? [X5: $i] :
( ? [X6: $i] :
( ? [X7: $i] :
( ( ( app @ ( cons @ X5 @ nil ) @ X7 )
= W )
& ( ssList @ X7 ) )
& ( ( app @ X6 @ ( cons @ X5 @ nil ) )
= X3 )
& ( ssList @ X6 ) )
& ( ssItem @ X5 ) )
| ~ ( equalelemsP @ W )
| ( ( app @ ( app @ X3 @ W ) @ X4 )
!= X )
| ~ ( ssList @ X4 ) ) )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ! [X2: $i] :
( ( leq @ X2 @ Y )
| ~ ( leq @ Y @ X2 )
| ~ ( memberP @ X1 @ X2 )
| ~ ( memberP @ Z @ X2 )
| ~ ( ssItem @ X2 ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( nil = U )
| ( 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 ) )
| ! [X3: $i] :
( ( ssList @ X3 )
=> ! [X4: $i] :
( ? [X8: $i] :
( ? [X9: $i] :
( ? [X10: $i] :
( ( ( app @ X10 @ ( cons @ X8 @ nil ) )
= W )
& ( ssList @ X10 ) )
& ( ( app @ ( cons @ X8 @ nil ) @ X9 )
= X4 )
& ( ssList @ X9 ) )
& ( ssItem @ X8 ) )
| ? [X5: $i] :
( ? [X6: $i] :
( ? [X7: $i] :
( ( ( app @ ( cons @ X5 @ nil ) @ X7 )
= W )
& ( ssList @ X7 ) )
& ( ( app @ X6 @ ( cons @ X5 @ nil ) )
= X3 )
& ( ssList @ X6 ) )
& ( ssItem @ X5 ) )
| ~ ( equalelemsP @ W )
| ( ( app @ ( app @ X3 @ W ) @ X4 )
!= X )
| ~ ( ssList @ X4 ) ) )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ! [X2: $i] :
( ( leq @ X2 @ Y )
| ~ ( leq @ Y @ X2 )
| ~ ( memberP @ X1 @ X2 )
| ~ ( memberP @ Z @ X2 )
| ~ ( ssItem @ X2 ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( nil = U )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl94,plain,
ssList @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax20,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil = U )
| ? [V: $i] :
( ? [W: $i] :
( ( ( cons @ W @ V )
= U )
& ( ssItem @ W ) )
& ( ssList @ V ) ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( ( cons @ ( sk__19 @ X0 ) @ ( sk__18 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ssItem @ ( sk__27 @ X1 @ X0 @ X2 ) )
| ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__21 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax38,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ~ ( memberP @ nil @ U ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( memberP @ X0 @ ( sk__27 @ X1 @ X0 @ X2 ) )
| ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__21 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2403,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ ( sk__27 @ X1 @ nil @ X0 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__21 )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl97]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl31,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2407,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ ( sk__27 @ X1 @ nil @ X0 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2403,zip_derived_cl31]) ).
thf(zip_derived_cl2621,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__21 )
| ~ ( ssList @ nil )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__21 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl2407]) ).
thf(zip_derived_cl31_001,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2622,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__21 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__21 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2621,zip_derived_cl31]) ).
thf(zip_derived_cl2623,plain,
! [X0: $i,X1: $i] :
( ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__21 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2622]) ).
thf(zip_derived_cl2630,plain,
! [X0: $i,X1: $i] :
( ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__21 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl2623]) ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl83,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(ax27,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ( ( cons @ W @ ( app @ V @ U ) )
= ( app @ ( cons @ W @ V ) @ U ) ) ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ X1 @ ( app @ X0 @ X2 ) )
= ( app @ ( cons @ X1 @ X0 ) @ X2 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax27]) ).
thf(zip_derived_cl1338,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ X0 ) @ nil ) )
| ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl42]) ).
thf(zip_derived_cl31_002,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1347,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ X0 ) @ nil ) )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1338,zip_derived_cl31]) ).
thf(zip_derived_cl1348,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ X0 ) @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1347]) ).
thf(zip_derived_cl78_003,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl960,plain,
! [X0: $i,X1: $i] :
( ( ssList @ ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl30]) ).
thf(zip_derived_cl975,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ssList @ ( app @ ( cons @ X1 @ nil ) @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl960]) ).
thf(zip_derived_cl1649,plain,
! [X0: $i] :
( ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1348,zip_derived_cl975]) ).
thf(zip_derived_cl31_004,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl31_005,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1684,plain,
! [X0: $i] :
( ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1649,zip_derived_cl31,zip_derived_cl31]) ).
thf(zip_derived_cl1685,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1684]) ).
thf(zip_derived_cl2690,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 )
| ( ( app @ ( cons @ X0 @ nil ) @ X1 )
!= sk__21 ) ),
inference(clc,[status(thm)],[zip_derived_cl2630,zip_derived_cl1685]) ).
thf(zip_derived_cl2693,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__21 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl2690]) ).
thf(zip_derived_cl2700,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
!= sk__21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2693]) ).
thf(zip_derived_cl2737,plain,
! [X0: $i] :
( ( X0 != sk__21 )
| ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssList @ ( sk__18 @ X0 ) )
| ~ ( ssItem @ ( sk__19 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl2700]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( ssList @ ( sk__18 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl2980,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__19 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 )
| ( X0 != sk__21 ) ),
inference(clc,[status(thm)],[zip_derived_cl2737,zip_derived_cl37]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( ssItem @ ( sk__19 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl2981,plain,
! [X0: $i] :
( ( X0 != sk__21 )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2980,zip_derived_cl35]) ).
thf(zip_derived_cl3014,plain,
( ( nil = sk__21 )
| ( sk__21 != sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl2981]) ).
thf(zip_derived_cl3031,plain,
nil = sk__21,
inference(simplify,[status(thm)],[zip_derived_cl3014]) ).
thf(zip_derived_cl101,plain,
nil != sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3032,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3031,zip_derived_cl101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC225+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FDog0tMHcp true
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 16:39:19 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.19/0.64 % Total configuration time : 435
% 0.19/0.64 % Estimated wc time : 1092
% 0.19/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.34/1.03 % Solved by fo/fo3_bce.sh.
% 2.34/1.03 % BCE start: 113
% 2.34/1.03 % BCE eliminated: 2
% 2.34/1.03 % PE start: 111
% 2.34/1.03 logic: eq
% 2.34/1.03 % PE eliminated: 1
% 2.34/1.03 % done 382 iterations in 0.309s
% 2.34/1.03 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.34/1.03 % SZS output start Refutation
% See solution above
% 2.34/1.03
% 2.34/1.03
% 2.34/1.03 % Terminating...
% 2.73/1.15 % Runner terminated.
% 2.73/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------