TSTP Solution File: LAT385+4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT385+4 : 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.M5MEJWhTKM true
% Computer : n026.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 06:47:32 EDT 2023
% Result : Theorem 1.41s 0.82s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 50
% Syntax : Number of formulae : 72 ( 10 unt; 38 typ; 0 def)
% Number of atoms : 162 ( 5 equ; 0 cnn)
% Maximal formula atoms : 37 ( 4 avg)
% Number of connectives : 486 ( 17 ~; 26 |; 64 &; 341 @)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 67 ( 67 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 30 usr; 5 con; 0-3 aty)
% Number of variables : 66 ( 0 ^; 60 !; 6 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(xP_type,type,
xP: $i ).
thf(xT_type,type,
xT: $i ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(isOn0_type,type,
isOn0: $i > $i > $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $o ).
thf(xU_type,type,
xU: $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(cS1241_type,type,
cS1241: $i > $i > $i > $i ).
thf(aUpperBoundOfIn0_type,type,
aUpperBoundOfIn0: $i > $i > $i > $o ).
thf(aLowerBoundOfIn0_type,type,
aLowerBoundOfIn0: $i > $i > $i > $o ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $o ).
thf(aInfimumOfIn0_type,type,
aInfimumOfIn0: $i > $i > $i > $o ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(xf_type,type,
xf: $i ).
thf(isMonotone0_type,type,
isMonotone0: $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(szRzazndt0_type,type,
szRzazndt0: $i > $i ).
thf(aCompleteLattice0_type,type,
aCompleteLattice0: $i > $o ).
thf(aSupremumOfIn0_type,type,
aSupremumOfIn0: $i > $i > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(m__1123,axiom,
( ( aSet0 @ xU )
& ! [W0: $i] :
( ( ( aSubsetOf0 @ W0 @ xU )
| ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xU ) )
& ( aSet0 @ W0 ) ) )
=> ? [W1: $i] :
( ( aElementOf0 @ W1 @ xU )
& ( aElementOf0 @ W1 @ xU )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( sdtlseqdt0 @ W1 @ W2 ) )
& ( aLowerBoundOfIn0 @ W1 @ W0 @ xU )
& ! [W2: $i] :
( ( ( aLowerBoundOfIn0 @ W2 @ W0 @ xU )
| ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ W0 )
=> ( sdtlseqdt0 @ W2 @ W3 ) )
& ( aElementOf0 @ W2 @ xU ) ) )
=> ( sdtlseqdt0 @ W2 @ W1 ) )
& ( aInfimumOfIn0 @ W1 @ W0 @ xU )
& ? [W2: $i] :
( ( aElementOf0 @ W2 @ xU )
& ( aElementOf0 @ W2 @ xU )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W0 )
=> ( sdtlseqdt0 @ W3 @ W2 ) )
& ( aUpperBoundOfIn0 @ W2 @ W0 @ xU )
& ! [W3: $i] :
( ( ( aUpperBoundOfIn0 @ W3 @ W0 @ xU )
| ( ! [W4: $i] :
( ( aElementOf0 @ W4 @ W0 )
=> ( sdtlseqdt0 @ W4 @ W3 ) )
& ( aElementOf0 @ W3 @ xU ) ) )
=> ( sdtlseqdt0 @ W2 @ W3 ) )
& ( aSupremumOfIn0 @ W2 @ W0 @ xU ) ) ) )
& ( aCompleteLattice0 @ xU )
& ( aFunction0 @ xf )
& ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W1 @ ( szDzozmdt0 @ xf ) )
& ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xf ) ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
=> ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ W0 ) @ ( sdtlpdtrp0 @ xf @ W1 ) ) ) )
& ( isMonotone0 @ xf )
& ( ( szDzozmdt0 @ xf )
= ( szRzazndt0 @ xf ) )
& ( ( szRzazndt0 @ xf )
= xU )
& ( isOn0 @ xf @ xU ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_7: $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_7 @ W1 @ W0 )
=> ( ? [W2: $i] : ( zip_tseitin_6 @ W2 @ W0 )
& ( aInfimumOfIn0 @ W1 @ W0 @ xU )
& ! [W2: $i] :
( ( zip_tseitin_3 @ W2 @ W0 )
=> ( sdtlseqdt0 @ W2 @ W1 ) )
& ( aLowerBoundOfIn0 @ W1 @ W0 @ xU )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( sdtlseqdt0 @ W1 @ W2 ) )
& ( aElementOf0 @ W1 @ xU )
& ( aElementOf0 @ W1 @ xU ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_6: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [W2: $i,W0: $i] :
( ( zip_tseitin_6 @ W2 @ W0 )
=> ( ( aSupremumOfIn0 @ W2 @ W0 @ xU )
& ! [W3: $i] :
( ( zip_tseitin_5 @ W3 @ W0 )
=> ( sdtlseqdt0 @ W2 @ W3 ) )
& ( aUpperBoundOfIn0 @ W2 @ W0 @ xU )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W0 )
=> ( sdtlseqdt0 @ W3 @ W2 ) )
& ( aElementOf0 @ W2 @ xU )
& ( aElementOf0 @ W2 @ xU ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_5: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [W3: $i,W0: $i] :
( ( ( ( aElementOf0 @ W3 @ xU )
& ! [W4: $i] : ( zip_tseitin_4 @ W4 @ W3 @ W0 ) )
| ( aUpperBoundOfIn0 @ W3 @ W0 @ xU ) )
=> ( zip_tseitin_5 @ W3 @ W0 ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [W4: $i,W3: $i,W0: $i] :
( ( ( aElementOf0 @ W4 @ W0 )
=> ( sdtlseqdt0 @ W4 @ W3 ) )
=> ( zip_tseitin_4 @ W4 @ W3 @ W0 ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_3: $i > $i > $o ).
thf(zf_stmt_9,axiom,
! [W2: $i,W0: $i] :
( ( ( ( aElementOf0 @ W2 @ xU )
& ! [W3: $i] : ( zip_tseitin_2 @ W3 @ W2 @ W0 ) )
| ( aLowerBoundOfIn0 @ W2 @ W0 @ xU ) )
=> ( zip_tseitin_3 @ W2 @ W0 ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_11,axiom,
! [W3: $i,W2: $i,W0: $i] :
( ( ( aElementOf0 @ W3 @ W0 )
=> ( sdtlseqdt0 @ W2 @ W3 ) )
=> ( zip_tseitin_2 @ W3 @ W2 @ W0 ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_1: $i > $o ).
thf(zf_stmt_13,axiom,
! [W0: $i] :
( ( ( ( aSet0 @ W0 )
& ! [W1: $i] : ( zip_tseitin_0 @ W1 @ W0 ) )
| ( aSubsetOf0 @ W0 @ xU ) )
=> ( zip_tseitin_1 @ W0 ) ) ).
thf(zf_stmt_14,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_15,axiom,
! [W1: $i,W0: $i] :
( ( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xU ) )
=> ( zip_tseitin_0 @ W1 @ W0 ) ) ).
thf(zf_stmt_16,axiom,
( ( isOn0 @ xf @ xU )
& ( ( szRzazndt0 @ xf )
= xU )
& ( ( szDzozmdt0 @ xf )
= ( szRzazndt0 @ xf ) )
& ( isMonotone0 @ xf )
& ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xf ) )
& ( aElementOf0 @ W1 @ ( szDzozmdt0 @ xf ) ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
=> ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ W0 ) @ ( sdtlpdtrp0 @ xf @ W1 ) ) ) )
& ( aFunction0 @ xf )
& ( aCompleteLattice0 @ xU )
& ! [W0: $i] :
( ( zip_tseitin_1 @ W0 )
=> ? [W1: $i] : ( zip_tseitin_7 @ W1 @ W0 ) )
& ( aSet0 @ xU ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ ( sk__7 @ X0 ) @ X0 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ( aInfimumOfIn0 @ X0 @ X1 @ xU )
| ~ ( zip_tseitin_7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(m__,conjecture,
? [W0: $i] :
( ( aInfimumOfIn0 @ W0 @ xP @ xU )
| ( ! [W1: $i] :
( ( ( aElementOf0 @ W1 @ xU )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ xP )
=> ( sdtlseqdt0 @ W1 @ W2 ) )
& ( aLowerBoundOfIn0 @ W1 @ xP @ xU ) )
=> ( sdtlseqdt0 @ W1 @ W0 ) )
& ( ( aLowerBoundOfIn0 @ W0 @ xP @ xU )
| ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ xP )
=> ( sdtlseqdt0 @ W0 @ W1 ) )
& ( aElementOf0 @ W0 @ xU ) ) )
& ( aElementOf0 @ W0 @ xU ) ) ) ).
thf(zf_stmt_17,negated_conjecture,
~ ? [W0: $i] :
( ( aInfimumOfIn0 @ W0 @ xP @ xU )
| ( ! [W1: $i] :
( ( ( aElementOf0 @ W1 @ xU )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ xP )
=> ( sdtlseqdt0 @ W1 @ W2 ) )
& ( aLowerBoundOfIn0 @ W1 @ xP @ xU ) )
=> ( sdtlseqdt0 @ W1 @ W0 ) )
& ( ( aLowerBoundOfIn0 @ W0 @ xP @ xU )
| ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ xP )
=> ( sdtlseqdt0 @ W0 @ W1 ) )
& ( aElementOf0 @ W0 @ xU ) ) )
& ( aElementOf0 @ W0 @ xU ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl69,plain,
! [X2: $i] :
~ ( aInfimumOfIn0 @ X2 @ xP @ xU ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl71,plain,
! [X0: $i] :
~ ( zip_tseitin_7 @ X0 @ xP ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl69]) ).
thf(zip_derived_cl122,plain,
~ ( zip_tseitin_1 @ xP ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl71]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( aElementOf0 @ X0 @ xU ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ ( aSet0 @ X0 )
| ~ ( zip_tseitin_0 @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl75,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( sk__3 @ X0 ) @ xU )
| ~ ( aSet0 @ X0 )
| ( zip_tseitin_1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl16]) ).
thf(m__1244,axiom,
( ( xP
= ( cS1241 @ xU @ xf @ xT ) )
& ! [W0: $i] :
( ( ( ( aElementOf0 @ W0 @ xU )
& ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ W0 ) @ W0 )
& ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ xT )
=> ( sdtlseqdt0 @ W1 @ W0 ) )
| ( aUpperBoundOfIn0 @ W0 @ xT @ xU ) ) )
=> ( aElementOf0 @ W0 @ xP ) )
& ( ( aElementOf0 @ W0 @ xP )
=> ( ( aElementOf0 @ W0 @ xU )
& ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ W0 ) @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ xT )
=> ( sdtlseqdt0 @ W1 @ W0 ) )
& ( aUpperBoundOfIn0 @ W0 @ xT @ xU ) ) ) )
& ( aSet0 @ xP ) ) ).
thf(zip_derived_cl48,plain,
aSet0 @ xP,
inference(cnf,[status(esa)],[m__1244]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( aElementOf0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl16_001,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ ( aSet0 @ X0 )
| ~ ( zip_tseitin_0 @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl135,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sk__3 @ X0 ) @ X0 )
| ~ ( aSet0 @ X0 )
| ( zip_tseitin_1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).
thf(zip_derived_cl169,plain,
( ( zip_tseitin_1 @ xP )
| ( aElementOf0 @ ( sk__3 @ xP ) @ xP ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl135]) ).
thf(zip_derived_cl122_002,plain,
~ ( zip_tseitin_1 @ xP ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl71]) ).
thf(zip_derived_cl171,plain,
aElementOf0 @ ( sk__3 @ xP ) @ xP,
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl122]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xU )
| ~ ( aElementOf0 @ X0 @ xP ) ),
inference(cnf,[status(esa)],[m__1244]) ).
thf(zip_derived_cl174,plain,
aElementOf0 @ ( sk__3 @ xP ) @ xU,
inference('sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl52]) ).
thf(zip_derived_cl186,plain,
( ( zip_tseitin_1 @ xP )
| ~ ( aSet0 @ xP ) ),
inference('sup+',[status(thm)],[zip_derived_cl75,zip_derived_cl174]) ).
thf(zip_derived_cl48_003,plain,
aSet0 @ xP,
inference(cnf,[status(esa)],[m__1244]) ).
thf(zip_derived_cl187,plain,
zip_tseitin_1 @ xP,
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl48]) ).
thf(zip_derived_cl189,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT385+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.M5MEJWhTKM true
% 0.18/0.35 % Computer : n026.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 24 07:36:47 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % 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
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /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
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.41/0.82 % Solved by fo/fo4.sh.
% 1.41/0.82 % done 93 iterations in 0.037s
% 1.41/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.41/0.82 % SZS output start Refutation
% See solution above
% 1.41/0.82
% 1.41/0.82
% 1.41/0.82 % Terminating...
% 1.41/0.86 % Runner terminated.
% 1.80/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------