TSTP Solution File: SWC092+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC092+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.dyLj9sWPxk true
% Computer : n027.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 21:29:05 EDT 2023
% Result : Theorem 1.57s 0.99s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 64 ( 23 unt; 14 typ; 0 def)
% Number of atoms : 157 ( 37 equ; 0 cnn)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 389 ( 74 ~; 67 |; 22 &; 208 @)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 54 ( 0 ^; 42 !; 12 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__13_type,type,
sk__13: $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__11_type,type,
sk__11: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(strictorderedP_type,type,
strictorderedP: $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
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] :
( ( segmentP @ U @ Y )
& ( segmentP @ V @ Y )
& ( neq @ Y @ nil )
& ( ssList @ Y ) )
| ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ W @ Z )
!= X )
| ~ ( strictorderedP @ W )
| ? [X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ? [X4: $i] :
( ( lt @ X3 @ X1 )
& ( ( app @ X4 @ ( cons @ X3 @ nil ) )
= W )
& ( ssList @ X4 ) )
& ( ssItem @ X3 ) )
& ( ( app @ ( cons @ X1 @ nil ) @ X2 )
= Z )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) ) ) )
| ( ( nil != X )
& ( nil = 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 )
| ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ( segmentP @ U @ Y )
& ( segmentP @ V @ Y )
& ( neq @ Y @ nil )
& ( ssList @ Y ) )
| ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ W @ Z )
!= X )
| ~ ( strictorderedP @ W )
| ? [X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ? [X4: $i] :
( ( lt @ X3 @ X1 )
& ( ( app @ X4 @ ( cons @ X3 @ nil ) )
= W )
& ( ssList @ X4 ) )
& ( ssItem @ X3 ) )
& ( ( app @ ( cons @ X1 @ nil ) @ X2 )
= Z )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) ) ) )
| ( ( nil != X )
& ( nil = W ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl68,plain,
( ( app @ sk__13 @ sk__15 )
= sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
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_cl872,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl8]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl20,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl876,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl872,zip_derived_cl20]) ).
thf(zip_derived_cl877,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X2 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 )
| ( ( app @ X0 @ X2 )
!= X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl876]) ).
thf(zip_derived_cl947,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ ( app @ X0 @ X1 ) )
| ( segmentP @ ( app @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl877]) ).
thf(zip_derived_cl960,plain,
( ( segmentP @ sk__14 @ sk__13 )
| ~ ( ssList @ sk__15 )
| ~ ( ssList @ ( app @ sk__13 @ sk__15 ) )
| ~ ( ssList @ sk__13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl68,zip_derived_cl947]) ).
thf(ax55,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ U ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( segmentP @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax55]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__11 @ X0 )
| ~ ( segmentP @ sk__12 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65,plain,
sk__11 = sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71,plain,
sk__12 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__13 @ X0 )
| ~ ( segmentP @ sk__14 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl65,zip_derived_cl71]) ).
thf(zip_derived_cl107,plain,
( ~ ( ssList @ sk__13 )
| ~ ( ssList @ sk__13 )
| ~ ( neq @ sk__13 @ nil )
| ~ ( segmentP @ sk__14 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl91]) ).
thf(zip_derived_cl61,plain,
ssList @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65_001,plain,
sk__11 = sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82,plain,
ssList @ sk__13,
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl65]) ).
thf(zip_derived_cl82_002,plain,
ssList @ sk__13,
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl65]) ).
thf(zip_derived_cl111,plain,
( ~ ( neq @ sk__13 @ nil )
| ~ ( segmentP @ sk__14 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl82,zip_derived_cl82]) ).
thf(zip_derived_cl82_003,plain,
ssList @ sk__13,
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl65]) ).
thf(zip_derived_cl20_004,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl130,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( neq @ X0 @ nil )
| ( X0 = nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl18]) ).
thf(zip_derived_cl231,plain,
( ( sk__13 = nil )
| ( neq @ sk__13 @ nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl130]) ).
thf(zip_derived_cl66,plain,
( ( nil = sk__14 )
| ( nil != sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64,plain,
neq @ sk__12 @ nil,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71_005,plain,
sk__12 = sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl95,plain,
neq @ sk__14 @ nil,
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl71]) ).
thf(zip_derived_cl96,plain,
( ( neq @ nil @ nil )
| ( nil != sk__13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl66,zip_derived_cl95]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl76,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl77,plain,
! [X0: $i] :
( ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl98,plain,
( ( nil != sk__13 )
| ~ ( ssList @ nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl77]) ).
thf(zip_derived_cl20_006,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl99,plain,
nil != sk__13,
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl20]) ).
thf(zip_derived_cl234,plain,
neq @ sk__13 @ nil,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl231,zip_derived_cl99]) ).
thf(zip_derived_cl626,plain,
~ ( segmentP @ sk__14 @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl234]) ).
thf(zip_derived_cl67,plain,
ssList @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68_007,plain,
( ( app @ sk__13 @ sk__15 )
= sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72,plain,
ssList @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82_008,plain,
ssList @ sk__13,
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl65]) ).
thf(zip_derived_cl969,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl960,zip_derived_cl626,zip_derived_cl67,zip_derived_cl68,zip_derived_cl72,zip_derived_cl82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC092+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dyLj9sWPxk true
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 18:57:37 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.57/0.99 % Solved by fo/fo4.sh.
% 1.57/0.99 % done 121 iterations in 0.131s
% 1.57/0.99 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.57/0.99 % SZS output start Refutation
% See solution above
% 1.57/0.99
% 1.57/0.99
% 1.57/0.99 % Terminating...
% 1.94/1.05 % Runner terminated.
% 1.94/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------