TSTP Solution File: CSR012+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CSR012+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZTvv0oOrt8 true
% Computer : n001.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 : Wed Aug 30 22:05:15 EDT 2023
% Result : Theorem 1.21s 1.01s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 50
% Syntax : Number of formulae : 93 ( 26 unt; 31 typ; 0 def)
% Number of atoms : 147 ( 41 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 453 ( 36 ~; 44 |; 26 &; 332 @)
% ( 13 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 59 ( 59 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 9 con; 0-4 aty)
% Number of variables : 93 ( 0 ^; 86 !; 7 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(waterLevel_type,type,
waterLevel: $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(n3_type,type,
n3: $i ).
thf(tapOn_type,type,
tapOn: $i ).
thf(spilling_type,type,
spilling: $i ).
thf(initiates_type,type,
initiates: $i > $i > $i > $o ).
thf(happens_type,type,
happens: $i > $i > $o ).
thf(n1_type,type,
n1: $i ).
thf(filling_type,type,
filling: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(less_or_equal_type,type,
less_or_equal: $i > $i > $o ).
thf(trajectory_type,type,
trajectory: $i > $i > $i > $i > $o ).
thf(overflow_type,type,
overflow: $i ).
thf(less_type,type,
less: $i > $i > $o ).
thf(plus_type,type,
plus: $i > $i > $i ).
thf(stoppedIn_type,type,
stoppedIn: $i > $i > $i > $o ).
thf(holdsAt_type,type,
holdsAt: $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $o ).
thf(terminates_type,type,
terminates: $i > $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(tapOff_type,type,
tapOff: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(initiates_all_defn,axiom,
! [Event: $i,Fluent: $i,Time: $i] :
( ( initiates @ Event @ Fluent @ Time )
<=> ( ? [Height: $i] :
( ( holdsAt @ ( waterLevel @ Height ) @ Time )
& ( Event = overflow )
& ( Fluent
= ( waterLevel @ Height ) ) )
| ? [Height: $i] :
( ( holdsAt @ ( waterLevel @ Height ) @ Time )
& ( Event = tapOff )
& ( Fluent
= ( waterLevel @ Height ) ) )
| ( ( Fluent = spilling )
& ( Event = overflow ) )
| ( ( Fluent = filling )
& ( Event = tapOn ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [Fluent: $i,Event: $i] :
( ( zip_tseitin_3 @ Fluent @ Event )
<=> ( ( Event = tapOn )
& ( Fluent = filling ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ( X0 != filling )
| ( X1 != tapOn ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl156,plain,
! [X0: $i] :
( ( X0 != tapOn )
| ( zip_tseitin_3 @ filling @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl321,plain,
zip_tseitin_3 @ filling @ tapOn,
inference(eq_res,[status(thm)],[zip_derived_cl156]) ).
thf(zf_stmt_1,type,
zip_tseitin_3: $i > $i > $o ).
thf(zf_stmt_2,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [Fluent: $i,Event: $i] :
( ( zip_tseitin_2 @ Fluent @ Event )
<=> ( ( Event = overflow )
& ( Fluent = spilling ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [Height: $i,Time: $i,Fluent: $i,Event: $i] :
( ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event )
<=> ( ( Fluent
= ( waterLevel @ Height ) )
& ( Event = tapOff )
& ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [Height: $i,Time: $i,Fluent: $i,Event: $i] :
( ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event )
<=> ( ( Fluent
= ( waterLevel @ Height ) )
& ( Event = overflow )
& ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ) ).
thf(zf_stmt_8,axiom,
! [Event: $i,Fluent: $i,Time: $i] :
( ( initiates @ Event @ Fluent @ Time )
<=> ( ( zip_tseitin_3 @ Fluent @ Event )
| ( zip_tseitin_2 @ Fluent @ Event )
| ? [Height: $i] : ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event )
| ? [Height: $i] : ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( initiates @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl379,plain,
! [X0: $i] : ( initiates @ tapOn @ filling @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl40]) ).
thf(plus0_1,axiom,
( ( plus @ n0 @ n1 )
= n1 ) ).
thf(zip_derived_cl74,plain,
( ( plus @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[plus0_1]) ).
thf(waterLevel_0,axiom,
holdsAt @ ( waterLevel @ n0 ) @ n0 ).
thf(zip_derived_cl109,plain,
holdsAt @ ( waterLevel @ n0 ) @ n0,
inference(cnf,[status(esa)],[waterLevel_0]) ).
thf(change_of_waterLevel,axiom,
! [Height1: $i,Time: $i,Height2: $i,Offset: $i] :
( ( ( holdsAt @ ( waterLevel @ Height1 ) @ Time )
& ( Height2
= ( plus @ Height1 @ Offset ) ) )
=> ( trajectory @ filling @ Time @ ( waterLevel @ Height2 ) @ Offset ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( holdsAt @ ( waterLevel @ X0 ) @ X1 )
| ( X3
!= ( plus @ X0 @ X2 ) )
| ( trajectory @ filling @ X1 @ ( waterLevel @ X3 ) @ X2 ) ),
inference(cnf,[status(esa)],[change_of_waterLevel]) ).
thf(zip_derived_cl323,plain,
! [X0: $i,X1: $i] :
( ( trajectory @ filling @ n0 @ ( waterLevel @ X1 ) @ X0 )
| ( X1
!= ( plus @ n0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl63]) ).
thf(zip_derived_cl1597,plain,
! [X0: $i] :
( ( X0 != n1 )
| ( trajectory @ filling @ n0 @ ( waterLevel @ X0 ) @ n1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl323]) ).
thf(zip_derived_cl1601,plain,
trajectory @ filling @ n0 @ ( waterLevel @ n1 ) @ n1,
inference(eq_res,[status(thm)],[zip_derived_cl1597]) ).
thf(less_or_equal,axiom,
! [X: $i,Y: $i] :
( ( less_or_equal @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i] :
( ( less_or_equal @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[less_or_equal]) ).
thf(zip_derived_cl120,plain,
! [X0: $i] : ( less_or_equal @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl86]) ).
thf(less1,axiom,
! [X: $i] :
( ( less @ X @ n1 )
<=> ( less_or_equal @ X @ n0 ) ) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( less @ X0 @ n1 )
| ~ ( less_or_equal @ X0 @ n0 ) ),
inference(cnf,[status(esa)],[less1]) ).
thf(zip_derived_cl121,plain,
less @ n0 @ n1,
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl89]) ).
thf(change_holding,axiom,
! [Event: $i,Time: $i,Fluent: $i,Fluent2: $i,Offset: $i] :
( ( ( happens @ Event @ Time )
& ( initiates @ Event @ Fluent @ Time )
& ( less @ n0 @ Offset )
& ( trajectory @ Fluent @ Time @ Fluent2 @ Offset )
& ~ ( stoppedIn @ Time @ Fluent @ ( plus @ Time @ Offset ) ) )
=> ( holdsAt @ Fluent2 @ ( plus @ Time @ Offset ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( initiates @ X0 @ X1 @ X2 )
| ~ ( happens @ X0 @ X2 )
| ~ ( less @ n0 @ X3 )
| ~ ( trajectory @ X1 @ X2 @ X4 @ X3 )
| ( stoppedIn @ X2 @ X1 @ ( plus @ X2 @ X3 ) )
| ( holdsAt @ X4 @ ( plus @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[change_holding]) ).
thf(zip_derived_cl315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( holdsAt @ X1 @ ( plus @ X0 @ n1 ) )
| ( stoppedIn @ X0 @ X2 @ ( plus @ X0 @ n1 ) )
| ~ ( trajectory @ X2 @ X0 @ X1 @ n1 )
| ~ ( happens @ X3 @ X0 )
| ~ ( initiates @ X3 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl10]) ).
thf(zip_derived_cl1603,plain,
! [X0: $i] :
( ~ ( initiates @ X0 @ filling @ n0 )
| ~ ( happens @ X0 @ n0 )
| ( stoppedIn @ n0 @ filling @ ( plus @ n0 @ n1 ) )
| ( holdsAt @ ( waterLevel @ n1 ) @ ( plus @ n0 @ n1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1601,zip_derived_cl315]) ).
thf(zip_derived_cl74_001,plain,
( ( plus @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[plus0_1]) ).
thf(zip_derived_cl74_002,plain,
( ( plus @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[plus0_1]) ).
thf(waterLevel_1,conjecture,
holdsAt @ ( waterLevel @ n1 ) @ n1 ).
thf(zf_stmt_9,negated_conjecture,
~ ( holdsAt @ ( waterLevel @ n1 ) @ n1 ),
inference('cnf.neg',[status(esa)],[waterLevel_1]) ).
thf(zip_derived_cl115,plain,
~ ( holdsAt @ ( waterLevel @ n1 ) @ n1 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1605,plain,
! [X0: $i] :
( ~ ( initiates @ X0 @ filling @ n0 )
| ~ ( happens @ X0 @ n0 )
| ( stoppedIn @ n0 @ filling @ n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1603,zip_derived_cl74,zip_derived_cl74,zip_derived_cl115]) ).
thf(zip_derived_cl1606,plain,
( ( stoppedIn @ n0 @ filling @ n1 )
| ~ ( happens @ tapOn @ n0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl1605]) ).
thf(happens_all_defn,axiom,
! [Event: $i,Time: $i] :
( ( happens @ Event @ Time )
<=> ( ( ( Event = overflow )
& ( holdsAt @ filling @ Time )
& ( holdsAt @ ( waterLevel @ n3 ) @ Time ) )
| ( ( Time = n0 )
& ( Event = tapOn ) ) ) ) ).
thf(zf_stmt_10,axiom,
! [Time: $i,Event: $i] :
( ( zip_tseitin_5 @ Time @ Event )
<=> ( ( Event = tapOn )
& ( Time = n0 ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ X0 @ X1 )
| ( X0 != n0 )
| ( X1 != tapOn ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl157,plain,
! [X0: $i] :
( ( X0 != tapOn )
| ( zip_tseitin_5 @ n0 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl322,plain,
zip_tseitin_5 @ n0 @ tapOn,
inference(eq_res,[status(thm)],[zip_derived_cl157]) ).
thf(zf_stmt_11,type,
zip_tseitin_5: $i > $i > $o ).
thf(zf_stmt_12,type,
zip_tseitin_4: $i > $i > $o ).
thf(zf_stmt_13,axiom,
! [Time: $i,Event: $i] :
( ( zip_tseitin_4 @ Time @ Event )
<=> ( ( holdsAt @ ( waterLevel @ n3 ) @ Time )
& ( holdsAt @ filling @ Time )
& ( Event = overflow ) ) ) ).
thf(zf_stmt_14,axiom,
! [Event: $i,Time: $i] :
( ( happens @ Event @ Time )
<=> ( ( zip_tseitin_5 @ Time @ Event )
| ( zip_tseitin_4 @ Time @ Event ) ) ) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] :
( ( happens @ X0 @ X1 )
| ~ ( zip_tseitin_5 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl385,plain,
happens @ tapOn @ n0,
inference('sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl61]) ).
thf(zip_derived_cl1607,plain,
stoppedIn @ n0 @ filling @ n1,
inference(demod,[status(thm)],[zip_derived_cl1606,zip_derived_cl385]) ).
thf(stoppedin_defn,axiom,
! [Time1: $i,Fluent: $i,Time2: $i] :
( ( stoppedIn @ Time1 @ Fluent @ Time2 )
<=> ? [Event: $i,Time: $i] :
( ( terminates @ Event @ Fluent @ Time )
& ( less @ Time @ Time2 )
& ( less @ Time1 @ Time )
& ( happens @ Event @ Time ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( less @ X0 @ ( sk__1 @ X1 @ X2 @ X0 ) )
| ~ ( stoppedIn @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[stoppedin_defn]) ).
thf(zip_derived_cl1611,plain,
less @ n0 @ ( sk__1 @ n1 @ filling @ n0 ),
inference('sup-',[status(thm)],[zip_derived_cl1607,zip_derived_cl2]) ).
thf(zip_derived_cl1607_003,plain,
stoppedIn @ n0 @ filling @ n1,
inference(demod,[status(thm)],[zip_derived_cl1606,zip_derived_cl385]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( less @ ( sk__1 @ X0 @ X1 @ X2 ) @ X0 )
| ~ ( stoppedIn @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[stoppedin_defn]) ).
thf(zip_derived_cl1609,plain,
less @ ( sk__1 @ n1 @ filling @ n0 ) @ n1,
inference('sup-',[status(thm)],[zip_derived_cl1607,zip_derived_cl1]) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ( less_or_equal @ X0 @ n0 )
| ~ ( less @ X0 @ n1 ) ),
inference(cnf,[status(esa)],[less1]) ).
thf(zip_derived_cl1614,plain,
less_or_equal @ ( sk__1 @ n1 @ filling @ n0 ) @ n0,
inference('sup-',[status(thm)],[zip_derived_cl1609,zip_derived_cl88]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( less @ X1 @ X0 )
| ~ ( less_or_equal @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[less_or_equal]) ).
thf(zip_derived_cl1646,plain,
( ( less @ ( sk__1 @ n1 @ filling @ n0 ) @ n0 )
| ( ( sk__1 @ n1 @ filling @ n0 )
= n0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1614,zip_derived_cl84]) ).
thf(less0,axiom,
~ ? [X: $i] : ( less @ X @ n0 ) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
~ ( less @ X0 @ n0 ),
inference(cnf,[status(esa)],[less0]) ).
thf(zip_derived_cl1920,plain,
( ( sk__1 @ n1 @ filling @ n0 )
= n0 ),
inference(clc,[status(thm)],[zip_derived_cl1646,zip_derived_cl87]) ).
thf(zip_derived_cl87_004,plain,
! [X0: $i] :
~ ( less @ X0 @ n0 ),
inference(cnf,[status(esa)],[less0]) ).
thf(zip_derived_cl1923,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1611,zip_derived_cl1920,zip_derived_cl87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CSR012+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZTvv0oOrt8 true
% 0.13/0.35 % Computer : n001.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 09:51:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.21/1.01 % Solved by fo/fo5.sh.
% 1.21/1.01 % done 972 iterations in 0.249s
% 1.21/1.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.21/1.01 % SZS output start Refutation
% See solution above
% 1.21/1.01
% 1.21/1.01
% 1.21/1.01 % Terminating...
% 1.49/1.07 % Runner terminated.
% 1.49/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------