TSTP Solution File: LAT381+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT381+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OYOqd0sXxp true
% Computer : n025.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 06:47:30 EDT 2023
% Result : Theorem 0.21s 0.77s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 71 ( 35 unt; 11 typ; 0 def)
% Number of atoms : 123 ( 7 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 335 ( 53 ~; 50 |; 5 &; 219 @)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 38 ( 0 ^; 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(xT_type,type,
xT: $i ).
thf(aUpperBoundOfIn0_type,type,
aUpperBoundOfIn0: $i > $i > $i > $o ).
thf(xS_type,type,
xS: $i ).
thf(xv_type,type,
xv: $i ).
thf(xu_type,type,
xu: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(aSupremumOfIn0_type,type,
aSupremumOfIn0: $i > $i > $i > $o ).
thf(m__744,axiom,
( ( aSupremumOfIn0 @ xv @ xS @ xT )
& ( aSupremumOfIn0 @ xu @ xS @ xT ) ) ).
thf(zip_derived_cl34,plain,
aSupremumOfIn0 @ xu @ xS @ xT,
inference(cnf,[status(esa)],[m__744]) ).
thf(mDefSup,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
=> ! [W2: $i] :
( ( aSupremumOfIn0 @ W2 @ W1 @ W0 )
<=> ( ( aElementOf0 @ W2 @ W0 )
& ( aUpperBoundOfIn0 @ W2 @ W1 @ W0 )
& ! [W3: $i] :
( ( aUpperBoundOfIn0 @ W3 @ W1 @ W0 )
=> ( sdtlseqdt0 @ W2 @ W3 ) ) ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSupremumOfIn0 @ X2 @ X0 @ X1 )
| ( aUpperBoundOfIn0 @ X2 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSup]) ).
thf(zip_derived_cl315,plain,
( ~ ( aSet0 @ xT )
| ( aUpperBoundOfIn0 @ xu @ xS @ xT )
| ~ ( aSubsetOf0 @ xS @ xT ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl27]) ).
thf(m__725,axiom,
aSet0 @ xT ).
thf(zip_derived_cl31,plain,
aSet0 @ xT,
inference(cnf,[status(esa)],[m__725]) ).
thf(m__725_01,axiom,
aSubsetOf0 @ xS @ xT ).
thf(zip_derived_cl32,plain,
aSubsetOf0 @ xS @ xT,
inference(cnf,[status(esa)],[m__725_01]) ).
thf(zip_derived_cl348,plain,
aUpperBoundOfIn0 @ xu @ xS @ xT,
inference(demod,[status(thm)],[zip_derived_cl315,zip_derived_cl31,zip_derived_cl32]) ).
thf(zip_derived_cl33,plain,
aSupremumOfIn0 @ xv @ xS @ xT,
inference(cnf,[status(esa)],[m__744]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSupremumOfIn0 @ X2 @ X0 @ X1 )
| ( sdtlseqdt0 @ X2 @ X3 )
| ~ ( aUpperBoundOfIn0 @ X3 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSup]) ).
thf(zip_derived_cl313,plain,
! [X0: $i] :
( ~ ( aSet0 @ xT )
| ~ ( aUpperBoundOfIn0 @ X0 @ xS @ xT )
| ( sdtlseqdt0 @ xv @ X0 )
| ~ ( aSubsetOf0 @ xS @ xT ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl28]) ).
thf(zip_derived_cl31_001,plain,
aSet0 @ xT,
inference(cnf,[status(esa)],[m__725]) ).
thf(zip_derived_cl32_002,plain,
aSubsetOf0 @ xS @ xT,
inference(cnf,[status(esa)],[m__725_01]) ).
thf(zip_derived_cl349,plain,
! [X0: $i] :
( ~ ( aUpperBoundOfIn0 @ X0 @ xS @ xT )
| ( sdtlseqdt0 @ xv @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl313,zip_derived_cl31,zip_derived_cl32]) ).
thf(zip_derived_cl350,plain,
sdtlseqdt0 @ xv @ xu,
inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl349]) ).
thf(mASymm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mASymm]) ).
thf(zip_derived_cl352,plain,
( ~ ( aElement0 @ xu )
| ~ ( aElement0 @ xv )
| ( xu = xv )
| ~ ( sdtlseqdt0 @ xu @ xv ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl11]) ).
thf(zip_derived_cl34_003,plain,
aSupremumOfIn0 @ xu @ xS @ xT,
inference(cnf,[status(esa)],[m__744]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSupremumOfIn0 @ X2 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSup]) ).
thf(zip_derived_cl314,plain,
( ~ ( aSet0 @ xT )
| ( aElementOf0 @ xu @ xT )
| ~ ( aSubsetOf0 @ xS @ xT ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl26]) ).
thf(zip_derived_cl31_004,plain,
aSet0 @ xT,
inference(cnf,[status(esa)],[m__725]) ).
thf(zip_derived_cl32_005,plain,
aSubsetOf0 @ xS @ xT,
inference(cnf,[status(esa)],[m__725_01]) ).
thf(zip_derived_cl328,plain,
aElementOf0 @ xu @ xT,
inference(demod,[status(thm)],[zip_derived_cl314,zip_derived_cl31,zip_derived_cl32]) ).
thf(mEOfElem,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElement0 @ W1 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl329,plain,
( ( aElement0 @ xu )
| ~ ( aSet0 @ xT ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl2]) ).
thf(zip_derived_cl31_006,plain,
aSet0 @ xT,
inference(cnf,[status(esa)],[m__725]) ).
thf(zip_derived_cl330,plain,
aElement0 @ xu,
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl31]) ).
thf(zip_derived_cl33_007,plain,
aSupremumOfIn0 @ xv @ xS @ xT,
inference(cnf,[status(esa)],[m__744]) ).
thf(zip_derived_cl26_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSupremumOfIn0 @ X2 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSup]) ).
thf(zip_derived_cl311,plain,
( ~ ( aSet0 @ xT )
| ( aElementOf0 @ xv @ xT )
| ~ ( aSubsetOf0 @ xS @ xT ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl26]) ).
thf(zip_derived_cl31_009,plain,
aSet0 @ xT,
inference(cnf,[status(esa)],[m__725]) ).
thf(zip_derived_cl32_010,plain,
aSubsetOf0 @ xS @ xT,
inference(cnf,[status(esa)],[m__725_01]) ).
thf(zip_derived_cl317,plain,
aElementOf0 @ xv @ xT,
inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl31,zip_derived_cl32]) ).
thf(zip_derived_cl2_011,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl318,plain,
( ( aElement0 @ xv )
| ~ ( aSet0 @ xT ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl2]) ).
thf(zip_derived_cl31_012,plain,
aSet0 @ xT,
inference(cnf,[status(esa)],[m__725]) ).
thf(zip_derived_cl319,plain,
aElement0 @ xv,
inference(demod,[status(thm)],[zip_derived_cl318,zip_derived_cl31]) ).
thf(zip_derived_cl353,plain,
( ( xu = xv )
| ~ ( sdtlseqdt0 @ xu @ xv ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl330,zip_derived_cl319]) ).
thf(m__,conjecture,
xu = xv ).
thf(zf_stmt_0,negated_conjecture,
xu != xv,
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl35,plain,
xu != xv,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl354,plain,
~ ( sdtlseqdt0 @ xu @ xv ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl353,zip_derived_cl35]) ).
thf(zip_derived_cl33_013,plain,
aSupremumOfIn0 @ xv @ xS @ xT,
inference(cnf,[status(esa)],[m__744]) ).
thf(zip_derived_cl27_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSupremumOfIn0 @ X2 @ X0 @ X1 )
| ( aUpperBoundOfIn0 @ X2 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSup]) ).
thf(zip_derived_cl312,plain,
( ~ ( aSet0 @ xT )
| ( aUpperBoundOfIn0 @ xv @ xS @ xT )
| ~ ( aSubsetOf0 @ xS @ xT ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl27]) ).
thf(zip_derived_cl31_015,plain,
aSet0 @ xT,
inference(cnf,[status(esa)],[m__725]) ).
thf(zip_derived_cl32_016,plain,
aSubsetOf0 @ xS @ xT,
inference(cnf,[status(esa)],[m__725_01]) ).
thf(zip_derived_cl337,plain,
aUpperBoundOfIn0 @ xv @ xS @ xT,
inference(demod,[status(thm)],[zip_derived_cl312,zip_derived_cl31,zip_derived_cl32]) ).
thf(zip_derived_cl34_017,plain,
aSupremumOfIn0 @ xu @ xS @ xT,
inference(cnf,[status(esa)],[m__744]) ).
thf(zip_derived_cl28_018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSupremumOfIn0 @ X2 @ X0 @ X1 )
| ( sdtlseqdt0 @ X2 @ X3 )
| ~ ( aUpperBoundOfIn0 @ X3 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSup]) ).
thf(zip_derived_cl316,plain,
! [X0: $i] :
( ~ ( aSet0 @ xT )
| ~ ( aUpperBoundOfIn0 @ X0 @ xS @ xT )
| ( sdtlseqdt0 @ xu @ X0 )
| ~ ( aSubsetOf0 @ xS @ xT ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl28]) ).
thf(zip_derived_cl31_019,plain,
aSet0 @ xT,
inference(cnf,[status(esa)],[m__725]) ).
thf(zip_derived_cl32_020,plain,
aSubsetOf0 @ xS @ xT,
inference(cnf,[status(esa)],[m__725_01]) ).
thf(zip_derived_cl367,plain,
! [X0: $i] :
( ~ ( aUpperBoundOfIn0 @ X0 @ xS @ xT )
| ( sdtlseqdt0 @ xu @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl316,zip_derived_cl31,zip_derived_cl32]) ).
thf(zip_derived_cl369,plain,
sdtlseqdt0 @ xu @ xv,
inference('s_sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl367]) ).
thf(zip_derived_cl370,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT381+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OYOqd0sXxp true
% 0.17/0.34 % Computer : n025.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Thu Aug 24 07:52:06 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77 % Solved by fo/fo6_bce.sh.
% 0.21/0.77 % BCE start: 36
% 0.21/0.77 % BCE eliminated: 0
% 0.21/0.77 % PE start: 36
% 0.21/0.77 logic: eq
% 0.21/0.77 % PE eliminated: 3
% 0.21/0.77 % done 32 iterations in 0.027s
% 0.21/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.77 % SZS output start Refutation
% See solution above
% 0.21/0.77
% 0.21/0.77
% 0.21/0.77 % Terminating...
% 1.57/0.86 % Runner terminated.
% 1.78/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------