TSTP Solution File: SWC068+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC068+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.thFS0upOkj true
% Computer : n004.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 21:28:55 EDT 2023
% Result : Theorem 0.74s 0.90s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 66 ( 27 unt; 9 typ; 0 def)
% Number of atoms : 158 ( 59 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 338 ( 77 ~; 71 |; 11 &; 160 @)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 42 ( 0 ^; 38 !; 4 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( ( app @ X @ X )
!= W )
| ( V != X )
| ( U != W )
| ? [Y: $i] :
( ( segmentP @ U @ Y )
& ( segmentP @ V @ Y )
& ( neq @ Y @ nil )
& ( ssList @ Y ) )
| ( ( 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 )
=> ( ( ( app @ X @ X )
!= W )
| ( V != X )
| ( U != W )
| ? [Y: $i] :
( ( segmentP @ U @ Y )
& ( segmentP @ V @ Y )
& ( neq @ Y @ nil )
& ( ssList @ Y ) )
| ( ( nil = V )
& ( nil = U ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl44,plain,
( ( app @ sk__9 @ sk__9 )
= sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_001,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl263,plain,
( ( app @ sk__7 @ sk__7 )
= sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl43,zip_derived_cl43,zip_derived_cl42]) ).
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_cl8,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_cl448,plain,
! [X0: $i,X1: $i] :
( ( ( app @ sk__6 @ X1 )
!= X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__7 )
| ~ ( ssList @ sk__7 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl8]) ).
thf(zip_derived_cl45,plain,
ssList @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_002,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl262,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl43]) ).
thf(zip_derived_cl262_003,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl43]) ).
thf(zip_derived_cl459,plain,
! [X0: $i,X1: $i] :
( ( ( app @ sk__6 @ X1 )
!= X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__7 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl262,zip_derived_cl262]) ).
thf(zip_derived_cl461,plain,
! [X0: $i] :
( ( sk__6 != X0 )
| ~ ( ssList @ sk__6 )
| ~ ( ssList @ nil )
| ( segmentP @ X0 @ sk__7 )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl459]) ).
thf(zip_derived_cl38,plain,
ssList @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl12,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl465,plain,
! [X0: $i] :
( ( sk__6 != X0 )
| ( segmentP @ X0 @ sk__7 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl461,zip_derived_cl38,zip_derived_cl12]) ).
thf(ax55,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ U ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ( segmentP @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax55]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__6 @ X0 )
| ~ ( segmentP @ sk__7 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl260,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( X0 = nil )
| ~ ( ssList @ nil )
| ~ ( ssList @ X0 )
| ~ ( segmentP @ sk__7 @ X0 )
| ~ ( segmentP @ sk__6 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl41]) ).
thf(zip_derived_cl988,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__6 @ X0 )
| ~ ( segmentP @ sk__7 @ X0 )
| ~ ( ssList @ nil )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl260]) ).
thf(zip_derived_cl12_004,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl989,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__6 @ X0 )
| ~ ( segmentP @ sk__7 @ X0 )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl988,zip_derived_cl12]) ).
thf(zip_derived_cl995,plain,
( ~ ( ssList @ sk__7 )
| ~ ( ssList @ sk__7 )
| ( sk__7 = nil )
| ~ ( segmentP @ sk__6 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl989]) ).
thf(zip_derived_cl262_005,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl43]) ).
thf(zip_derived_cl262_006,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl43]) ).
thf(zip_derived_cl1000,plain,
( ( sk__7 = nil )
| ~ ( segmentP @ sk__6 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl995,zip_derived_cl262,zip_derived_cl262]) ).
thf(zip_derived_cl263_007,plain,
( ( app @ sk__7 @ sk__7 )
= sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl43,zip_derived_cl43,zip_derived_cl42]) ).
thf(ax83,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil
= ( app @ U @ V ) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil != X0 )
| ( nil != X1 )
| ( nil
= ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(zip_derived_cl298,plain,
( ( nil = sk__6 )
| ~ ( ssList @ sk__7 )
| ( nil != sk__7 )
| ( nil != sk__7 )
| ~ ( ssList @ sk__7 ) ),
inference('sup+',[status(thm)],[zip_derived_cl263,zip_derived_cl36]) ).
thf(zip_derived_cl262_008,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl43]) ).
thf(zip_derived_cl262_009,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl43]) ).
thf(zip_derived_cl301,plain,
( ( nil = sk__6 )
| ( nil != sk__7 )
| ( nil != sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl298,zip_derived_cl262,zip_derived_cl262]) ).
thf(zip_derived_cl302,plain,
( ( nil != sk__7 )
| ( nil = sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl301]) ).
thf(zip_derived_cl263_010,plain,
( ( app @ sk__7 @ sk__7 )
= sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl43,zip_derived_cl43,zip_derived_cl42]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(zip_derived_cl278,plain,
( ( nil != sk__6 )
| ~ ( ssList @ sk__7 )
| ( nil = sk__7 )
| ~ ( ssList @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl34]) ).
thf(zip_derived_cl262_011,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl43]) ).
thf(zip_derived_cl262_012,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl43]) ).
thf(zip_derived_cl283,plain,
( ( nil != sk__6 )
| ( nil = sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl262,zip_derived_cl262]) ).
thf(zip_derived_cl40,plain,
( ( nil != sk__7 )
| ( nil != sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl284,plain,
nil != sk__6,
inference(clc,[status(thm)],[zip_derived_cl283,zip_derived_cl40]) ).
thf(zip_derived_cl303,plain,
nil != sk__7,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl302,zip_derived_cl284]) ).
thf(zip_derived_cl1001,plain,
~ ( segmentP @ sk__6 @ sk__7 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1000,zip_derived_cl303]) ).
thf(zip_derived_cl1057,plain,
( ~ ( ssList @ sk__6 )
| ( sk__6 != sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl1001]) ).
thf(zip_derived_cl38_013,plain,
ssList @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1059,plain,
sk__6 != sk__6,
inference(demod,[status(thm)],[zip_derived_cl1057,zip_derived_cl38]) ).
thf(zip_derived_cl1060,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1059]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SWC068+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.thFS0upOkj true
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 28 17:09:52 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.17/0.62 % Total configuration time : 435
% 0.17/0.62 % Estimated wc time : 1092
% 0.17/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.74/0.90 % Solved by fo/fo3_bce.sh.
% 0.74/0.90 % BCE start: 47
% 0.74/0.90 % BCE eliminated: 2
% 0.74/0.90 % PE start: 45
% 0.74/0.90 logic: eq
% 0.74/0.90 % PE eliminated: 1
% 0.74/0.90 % done 130 iterations in 0.162s
% 0.74/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.74/0.90 % SZS output start Refutation
% See solution above
% 0.74/0.90
% 0.74/0.90
% 0.74/0.90 % Terminating...
% 1.58/0.95 % Runner terminated.
% 1.58/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------