TSTP Solution File: SWC322+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC322+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.Y3TwycaEAt true
% Computer : n006.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 21:30:45 EDT 2023
% Result : Theorem 0.59s 0.80s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 17
% Syntax : Number of formulae : 85 ( 15 unt; 11 typ; 0 def)
% Number of atoms : 206 ( 127 equ; 0 cnn)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 465 ( 115 ~; 102 |; 11 &; 218 @)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 34 ( 0 ^; 30 !; 4 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__6_type,type,
sk__6: $i ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__7_type,type,
sk__7: $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] :
( ? [Z: $i] :
( ( ( app @ Z @ ( cons @ Y @ nil ) )
= X )
& ( ( app @ ( cons @ Y @ nil ) @ Z )
!= W )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [X1: $i] :
( ( ssItem @ X1 )
=> ! [X2: $i] :
( ( ssList @ X2 )
=> ( ( ( app @ X2 @ ( cons @ X1 @ nil ) )
!= V )
| ( ( app @ ( cons @ X1 @ nil ) @ X2 )
= U ) ) ) )
& ( ( nil != V )
| ( nil = 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] :
( ? [Z: $i] :
( ( ( app @ Z @ ( cons @ Y @ nil ) )
= X )
& ( ( app @ ( cons @ Y @ nil ) @ Z )
!= W )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [X1: $i] :
( ( ssItem @ X1 )
=> ! [X2: $i] :
( ( ssList @ X2 )
=> ( ( ( app @ X2 @ ( cons @ X1 @ nil ) )
!= V )
| ( ( app @ ( cons @ X1 @ nil ) @ X2 )
= U ) ) ) )
& ( ( nil != V )
| ( nil = U ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl25,plain,
( ( ssList @ sk__9 )
| ( nil = sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
( ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__5 )
| ( nil = sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ ( cons @ X1 @ nil ) @ X0 )
= sk__6 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
!= sk__7 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33,plain,
sk__4 = sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl526,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ ( cons @ X1 @ nil ) @ X0 )
= sk__4 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
!= sk__5 )
| ~ ( ssItem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl33,zip_derived_cl36]) ).
thf(zip_derived_cl530,plain,
( ( sk__5 != sk__5 )
| ( nil = sk__5 )
| ~ ( ssItem @ sk__8 )
| ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__4 )
| ~ ( ssList @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl526]) ).
thf(zip_derived_cl536,plain,
( ~ ( ssList @ sk__9 )
| ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__4 )
| ~ ( ssItem @ sk__8 )
| ( nil = sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl530]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl3_001,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl28,plain,
( ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__5 )
| ( nil != sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax83,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil
= ( app @ U @ V ) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ( nil = X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(zip_derived_cl169,plain,
( ( nil != sk__5 )
| ( nil != sk__4 )
| ~ ( ssList @ sk__9 )
| ( nil = sk__9 )
| ~ ( ssList @ ( cons @ sk__8 @ nil ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl20]) ).
thf(zip_derived_cl34,plain,
( ( nil = sk__6 )
| ( nil != sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33_002,plain,
sk__4 = sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl155,plain,
( ( nil = sk__4 )
| ( nil != sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl33]) ).
thf(zip_derived_cl36_003,plain,
sk__5 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl156,plain,
( ( nil = sk__4 )
| ( nil != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl36]) ).
thf(zip_derived_cl190,plain,
( ~ ( ssList @ ( cons @ sk__8 @ nil ) )
| ( nil = sk__9 )
| ~ ( ssList @ sk__9 )
| ( nil != sk__5 ) ),
inference(clc,[status(thm)],[zip_derived_cl169,zip_derived_cl156]) ).
thf(zip_derived_cl192,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__8 )
| ( nil != sk__5 )
| ~ ( ssList @ sk__9 )
| ( nil = sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl190]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl4,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl193,plain,
( ~ ( ssItem @ sk__8 )
| ( nil != sk__5 )
| ~ ( ssList @ sk__9 )
| ( nil = sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl4]) ).
thf(zip_derived_cl26,plain,
( ( ssList @ sk__9 )
| ( nil != sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196,plain,
( ( nil = sk__9 )
| ( nil != sk__5 )
| ~ ( ssItem @ sk__8 )
| ( nil != sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl193,zip_derived_cl26]) ).
thf(zip_derived_cl32,plain,
( ( ssItem @ sk__8 )
| ( nil != sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201,plain,
( ( nil != sk__4 )
| ( nil != sk__5 )
| ( nil = sk__9 ) ),
inference(clc,[status(thm)],[zip_derived_cl196,zip_derived_cl32]) ).
thf(zip_derived_cl156_004,plain,
( ( nil = sk__4 )
| ( nil != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl36]) ).
thf(zip_derived_cl202,plain,
( ( nil = sk__9 )
| ( nil != sk__5 ) ),
inference(clc,[status(thm)],[zip_derived_cl201,zip_derived_cl156]) ).
thf(zip_derived_cl28_005,plain,
( ( ( app @ sk__9 @ ( cons @ sk__8 @ nil ) )
= sk__5 )
| ( nil != sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl206,plain,
( ( ( app @ nil @ ( cons @ sk__8 @ nil ) )
= sk__5 )
| ( nil != sk__5 )
| ( nil != sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl202,zip_derived_cl28]) ).
thf(zip_derived_cl211,plain,
( ( ( app @ nil @ ( cons @ sk__8 @ nil ) )
= nil )
| ( nil != sk__5 )
| ( nil != sk__4 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl206]) ).
thf(zip_derived_cl156_006,plain,
( ( nil = sk__4 )
| ( nil != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl36]) ).
thf(zip_derived_cl221,plain,
( ( nil != sk__5 )
| ( ( app @ nil @ ( cons @ sk__8 @ nil ) )
= nil ) ),
inference(clc,[status(thm)],[zip_derived_cl211,zip_derived_cl156]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl225,plain,
( ( nil
= ( cons @ sk__8 @ nil ) )
| ( nil != sk__5 )
| ~ ( ssList @ ( cons @ sk__8 @ nil ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl14]) ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(zip_derived_cl202_007,plain,
( ( nil = sk__9 )
| ( nil != sk__5 ) ),
inference(clc,[status(thm)],[zip_derived_cl201,zip_derived_cl156]) ).
thf(zip_derived_cl30,plain,
( ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
!= sk__4 )
| ( nil != sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl159,plain,
( ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
!= nil )
| ( nil != sk__4 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl208,plain,
( ( ( app @ ( cons @ sk__8 @ nil ) @ nil )
!= nil )
| ( nil != sk__5 )
| ( nil != sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl159]) ).
thf(zip_derived_cl156_008,plain,
( ( nil = sk__4 )
| ( nil != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl36]) ).
thf(zip_derived_cl215,plain,
( ( nil != sk__5 )
| ( ( app @ ( cons @ sk__8 @ nil ) @ nil )
!= nil ) ),
inference(clc,[status(thm)],[zip_derived_cl208,zip_derived_cl156]) ).
thf(zip_derived_cl216,plain,
( ( ( cons @ sk__8 @ nil )
!= nil )
| ~ ( ssList @ ( cons @ sk__8 @ nil ) )
| ( nil != sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl215]) ).
thf(zip_derived_cl217,plain,
( ( ( cons @ sk__8 @ nil )
!= nil )
| ~ ( ssList @ nil )
| ( nil != sk__5 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl216]) ).
thf(zip_derived_cl4_009,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl218,plain,
( ( ( cons @ sk__8 @ nil )
!= nil )
| ( nil != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl4]) ).
thf(zip_derived_cl233,plain,
( ~ ( ssList @ ( cons @ sk__8 @ nil ) )
| ( nil != sk__5 ) ),
inference(clc,[status(thm)],[zip_derived_cl225,zip_derived_cl218]) ).
thf(zip_derived_cl235,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__8 )
| ( nil != sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl233]) ).
thf(zip_derived_cl4_010,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl236,plain,
( ~ ( ssItem @ sk__8 )
| ( nil != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl4]) ).
thf(zip_derived_cl32_011,plain,
( ( ssItem @ sk__8 )
| ( nil != sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl239,plain,
( ( nil != sk__5 )
| ( nil != sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl236,zip_derived_cl32]) ).
thf(zip_derived_cl156_012,plain,
( ( nil = sk__4 )
| ( nil != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl36]) ).
thf(zip_derived_cl244,plain,
nil != sk__5,
inference(clc,[status(thm)],[zip_derived_cl239,zip_derived_cl156]) ).
thf(zip_derived_cl537,plain,
( ~ ( ssList @ sk__9 )
| ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
= sk__4 )
| ~ ( ssItem @ sk__8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl536,zip_derived_cl244]) ).
thf(zip_derived_cl29,plain,
( ( ( app @ ( cons @ sk__8 @ nil ) @ sk__9 )
!= sk__4 )
| ( nil = sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl574,plain,
( ( sk__4 != sk__4 )
| ~ ( ssItem @ sk__8 )
| ~ ( ssList @ sk__9 )
| ( nil = sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl29]) ).
thf(zip_derived_cl594,plain,
( ( nil = sk__5 )
| ~ ( ssList @ sk__9 )
| ~ ( ssItem @ sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl574]) ).
thf(zip_derived_cl244_013,plain,
nil != sk__5,
inference(clc,[status(thm)],[zip_derived_cl239,zip_derived_cl156]) ).
thf(zip_derived_cl595,plain,
( ~ ( ssList @ sk__9 )
| ~ ( ssItem @ sk__8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl594,zip_derived_cl244]) ).
thf(zip_derived_cl599,plain,
( ( nil = sk__5 )
| ~ ( ssItem @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl595]) ).
thf(zip_derived_cl244_014,plain,
nil != sk__5,
inference(clc,[status(thm)],[zip_derived_cl239,zip_derived_cl156]) ).
thf(zip_derived_cl601,plain,
~ ( ssItem @ sk__8 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl599,zip_derived_cl244]) ).
thf(zip_derived_cl31,plain,
( ( ssItem @ sk__8 )
| ( nil = sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl244_015,plain,
nil != sk__5,
inference(clc,[status(thm)],[zip_derived_cl239,zip_derived_cl156]) ).
thf(zip_derived_cl603,plain,
ssItem @ sk__8,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31,zip_derived_cl244]) ).
thf(zip_derived_cl614,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl601,zip_derived_cl603]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC322+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Y3TwycaEAt true
% 0.13/0.35 % Computer : n006.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 16:34:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.43/0.65 % Total configuration time : 435
% 0.43/0.65 % Estimated wc time : 1092
% 0.43/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.80 % Solved by fo/fo3_bce.sh.
% 0.59/0.80 % BCE start: 39
% 0.59/0.80 % BCE eliminated: 0
% 0.59/0.80 % PE start: 39
% 0.59/0.80 logic: eq
% 0.59/0.80 % PE eliminated: 0
% 0.59/0.80 % done 94 iterations in 0.057s
% 0.59/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.80 % SZS output start Refutation
% See solution above
% 0.59/0.80
% 0.59/0.80
% 0.59/0.80 % Terminating...
% 0.59/0.87 % Runner terminated.
% 1.54/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------