%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CSR006+1 : TPTP v9.2.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jAh1Uqam9V true
% Computer : n010.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 Oct 2 04:30:50 PM UTC 2025
% Result : Theorem 65.14s 9.89s
% Output : Refutation 65.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR006+1 : TPTP v9.2.0. Bugfixed v3.1.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jAh1Uqam9V true
% 0.12/0.35 % Computer : n010.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 15:02:23 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.36 % Running in FO mode
% 0.47/0.58 % Total configuration time : 435
% 0.47/0.58 % Estimated wc time : 1092
% 0.47/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 65.14/9.89 % Solved by fo/fo13.sh.
% 65.14/9.89 % done 7647 iterations in 9.154s
% 65.14/9.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 65.14/9.89 % SZS output start Refutation
% 65.14/9.89 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 65.14/9.89 thf(waterLevel_type, type, waterLevel: $i > $i).
% 65.14/9.89 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 65.14/9.89 thf(sk__4_type, type, sk__4: $i > $i > $i).
% 65.14/9.89 thf(n3_type, type, n3: $i).
% 65.14/9.89 thf(tapOn_type, type, tapOn: $i).
% 65.14/9.89 thf(spilling_type, type, spilling: $i).
% 65.14/9.89 thf(releases_type, type, releases: $i > $i > $i > $o).
% 65.14/9.89 thf(initiates_type, type, initiates: $i > $i > $i > $o).
% 65.14/9.89 thf(happens_type, type, happens: $i > $i > $o).
% 65.14/9.89 thf(n1_type, type, n1: $i).
% 65.14/9.89 thf(filling_type, type, filling: $i).
% 65.14/9.89 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 65.14/9.89 thf(sk__1_type, type, sk__1: $i > $i > $i > $i).
% 65.14/9.89 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 65.14/9.89 thf(sk__type, type, sk_: $i > $i > $i > $i).
% 65.14/9.89 thf(trajectory_type, type, trajectory: $i > $i > $i > $i > $o).
% 65.14/9.89 thf(n2_type, type, n2: $i).
% 65.14/9.89 thf(overflow_type, type, overflow: $i).
% 65.14/9.89 thf(releasedAt_type, type, releasedAt: $i > $i > $o).
% 65.14/9.89 thf(sk__7_type, type, sk__7: $i > $i > $i).
% 65.14/9.89 thf(less_type, type, less: $i > $i > $o).
% 65.14/9.89 thf(plus_type, type, plus: $i > $i > $i).
% 65.14/9.89 thf(stoppedIn_type, type, stoppedIn: $i > $i > $i > $o).
% 65.14/9.89 thf(holdsAt_type, type, holdsAt: $i > $i > $o).
% 65.14/9.89 thf(n0_type, type, n0: $i).
% 65.14/9.89 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $o).
% 65.14/9.89 thf(terminates_type, type, terminates: $i > $i > $i > $o).
% 65.14/9.89 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 65.14/9.89 thf(tapOff_type, type, tapOff: $i).
% 65.14/9.89 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 65.14/9.89 thf(less_or_equal, axiom,
% 65.14/9.89 (![X:$i,Y:$i]:
% 65.14/9.89 ( ( less_or_equal @ X @ Y ) <=> ( ( less @ X @ Y ) | ( ( X ) = ( Y ) ) ) ))).
% 65.14/9.89 thf(zip_derived_cl86, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ((X0) != (X1)))),
% 65.14/9.89 inference('cnf', [status(esa)], [less_or_equal])).
% 65.14/9.89 thf(zip_derived_cl131, plain, (![X0 : $i]: (less_or_equal @ X0 @ X0)),
% 65.14/9.89 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 65.14/9.89 thf(less2, axiom,
% 65.14/9.89 (![X:$i]: ( ( less @ X @ n2 ) <=> ( less_or_equal @ X @ n1 ) ))).
% 65.14/9.89 thf(zip_derived_cl91, plain,
% 65.14/9.89 (![X0 : $i]: ( (less @ X0 @ n2) | ~ (less_or_equal @ X0 @ n1))),
% 65.14/9.89 inference('cnf', [status(esa)], [less2])).
% 65.14/9.89 thf(zip_derived_cl157, plain, ( (less @ n1 @ n2)),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl91])).
% 65.14/9.89 thf(less_property, axiom,
% 65.14/9.89 (![X:$i,Y:$i]:
% 65.14/9.89 ( ( less @ X @ Y ) <=> ( ( ~( less @ Y @ X ) ) & ( ( Y ) != ( X ) ) ) ))).
% 65.14/9.89 thf(zip_derived_cl108, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [less_property])).
% 65.14/9.89 thf(zip_derived_cl90, plain,
% 65.14/9.89 (![X0 : $i]: ( (less_or_equal @ X0 @ n1) | ~ (less @ X0 @ n2))),
% 65.14/9.89 inference('cnf', [status(esa)], [less2])).
% 65.14/9.89 thf(zip_derived_cl289, plain,
% 65.14/9.89 (![X0 : $i]:
% 65.14/9.89 ( (less @ n2 @ X0) | ((n2) = (X0)) | (less_or_equal @ X0 @ n1))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl90])).
% 65.14/9.89 thf(zip_derived_cl84, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [less_or_equal])).
% 65.14/9.89 thf(zip_derived_cl2200, plain,
% 65.14/9.89 (![X0 : $i]:
% 65.14/9.89 (((n2) = (X0)) | (less @ n2 @ X0) | ((X0) = (n1)) | (less @ X0 @ n1))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl289, zip_derived_cl84])).
% 65.14/9.89 thf(zip_derived_cl108, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [less_property])).
% 65.14/9.89 thf(less1, axiom,
% 65.14/9.89 (![X:$i]: ( ( less @ X @ n1 ) <=> ( less_or_equal @ X @ n0 ) ))).
% 65.14/9.89 thf(zip_derived_cl88, plain,
% 65.14/9.89 (![X0 : $i]: ( (less_or_equal @ X0 @ n0) | ~ (less @ X0 @ n1))),
% 65.14/9.89 inference('cnf', [status(esa)], [less1])).
% 65.14/9.89 thf(zip_derived_cl287, plain,
% 65.14/9.89 (![X0 : $i]:
% 65.14/9.89 ( (less @ n1 @ X0) | ((n1) = (X0)) | (less_or_equal @ X0 @ n0))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl88])).
% 65.14/9.89 thf(zip_derived_cl84, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [less_or_equal])).
% 65.14/9.89 thf(zip_derived_cl2073, plain,
% 65.14/9.89 (![X0 : $i]:
% 65.14/9.89 (((n1) = (X0)) | (less @ n1 @ X0) | ((X0) = (n0)) | (less @ X0 @ n0))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl287, zip_derived_cl84])).
% 65.14/9.89 thf(less0, axiom, (~( ?[X:$i]: ( less @ X @ n0 ) ))).
% 65.14/9.89 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 65.14/9.89 inference('cnf', [status(esa)], [less0])).
% 65.14/9.89 thf(zip_derived_cl12539, plain,
% 65.14/9.89 (![X0 : $i]: (((X0) = (n0)) | (less @ n1 @ X0) | ((n1) = (X0)))),
% 65.14/9.89 inference('clc', [status(thm)], [zip_derived_cl2073, zip_derived_cl87])).
% 65.14/9.89 thf(zip_derived_cl106, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [less_property])).
% 65.14/9.89 thf(zip_derived_cl12541, plain,
% 65.14/9.89 (![X0 : $i]: (((n1) = (X0)) | ((X0) = (n0)) | ~ (less @ X0 @ n1))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl12539, zip_derived_cl106])).
% 65.14/9.89 thf(zip_derived_cl107, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [less_property])).
% 65.14/9.89 thf(zip_derived_cl12786, plain,
% 65.14/9.89 (![X0 : $i]: (~ (less @ X0 @ n1) | ((X0) = (n0)))),
% 65.14/9.89 inference('clc', [status(thm)], [zip_derived_cl12541, zip_derived_cl107])).
% 65.14/9.89 thf(zip_derived_cl13347, plain,
% 65.14/9.89 (![X0 : $i]:
% 65.14/9.89 (((X0) = (n1)) | (less @ n2 @ X0) | ((n2) = (X0)) | ((X0) = (n0)))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl2200, zip_derived_cl12786])).
% 65.14/9.89 thf(happens_all_defn, axiom,
% 65.14/9.89 (![Event:$i,Time:$i]:
% 65.14/9.89 ( ( happens @ Event @ Time ) <=>
% 65.14/9.89 ( ( ( ( Event ) = ( overflow ) ) & ( holdsAt @ filling @ Time ) &
% 65.14/9.89 ( holdsAt @ ( waterLevel @ n3 ) @ Time ) ) |
% 65.14/9.89 ( ( ( Time ) = ( n0 ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 65.14/9.89 thf(zf_stmt_0, axiom,
% 65.14/9.89 (![Time:$i,Event:$i]:
% 65.14/9.89 ( ( zip_tseitin_5 @ Time @ Event ) <=>
% 65.14/9.89 ( ( ( Event ) = ( tapOn ) ) & ( ( Time ) = ( n0 ) ) ) ))).
% 65.14/9.89 thf(zip_derived_cl59, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 ( (zip_tseitin_5 @ X0 @ X1) | ((X0) != (n0)) | ((X1) != (tapOn)))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 65.14/9.89 thf(zip_derived_cl148, plain,
% 65.14/9.89 (![X0 : $i]: (((X0) != (tapOn)) | (zip_tseitin_5 @ n0 @ X0))),
% 65.14/9.89 inference('eq_res', [status(thm)], [zip_derived_cl59])).
% 65.14/9.89 thf(zip_derived_cl155, plain, ( (zip_tseitin_5 @ n0 @ tapOn)),
% 65.14/9.89 inference('eq_res', [status(thm)], [zip_derived_cl148])).
% 65.14/9.89 thf(zf_stmt_1, type, zip_tseitin_5 : $i > $i > $o).
% 65.14/9.89 thf(zf_stmt_2, type, zip_tseitin_4 : $i > $i > $o).
% 65.14/9.89 thf(zf_stmt_3, axiom,
% 65.14/9.89 (![Time:$i,Event:$i]:
% 65.14/9.89 ( ( zip_tseitin_4 @ Time @ Event ) <=>
% 65.14/9.89 ( ( holdsAt @ ( waterLevel @ n3 ) @ Time ) &
% 65.14/9.89 ( holdsAt @ filling @ Time ) & ( ( Event ) = ( overflow ) ) ) ))).
% 65.14/9.89 thf(zf_stmt_4, axiom,
% 65.14/9.89 (![Event:$i,Time:$i]:
% 65.14/9.89 ( ( happens @ Event @ Time ) <=>
% 65.14/9.89 ( ( zip_tseitin_5 @ Time @ Event ) | ( zip_tseitin_4 @ Time @ Event ) ) ))).
% 65.14/9.89 thf(zip_derived_cl61, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 ( (happens @ X0 @ X1) | ~ (zip_tseitin_5 @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 65.14/9.89 thf(zip_derived_cl159, plain, ( (happens @ tapOn @ n0)),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl155, zip_derived_cl61])).
% 65.14/9.89 thf(waterLevel_0, axiom, (holdsAt @ ( waterLevel @ n0 ) @ n0)).
% 65.14/9.89 thf(zip_derived_cl109, plain, ( (holdsAt @ (waterLevel @ n0) @ n0)),
% 65.14/9.89 inference('cnf', [status(esa)], [waterLevel_0])).
% 65.14/9.89 thf(plus0_3, axiom, (( plus @ n0 @ n3 ) = ( n3 ))).
% 65.14/9.89 thf(zip_derived_cl76, plain, (((plus @ n0 @ n3) = (n3))),
% 65.14/9.89 inference('cnf', [status(esa)], [plus0_3])).
% 65.14/9.89 thf(change_of_waterLevel, axiom,
% 65.14/9.89 (![Height1:$i,Time:$i,Height2:$i,Offset:$i]:
% 65.14/9.89 ( ( ( holdsAt @ ( waterLevel @ Height1 ) @ Time ) &
% 65.14/9.89 ( ( Height2 ) = ( plus @ Height1 @ Offset ) ) ) =>
% 65.14/9.89 ( trajectory @ filling @ Time @ ( waterLevel @ Height2 ) @ Offset ) ))).
% 65.14/9.89 thf(zip_derived_cl63, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 65.14/9.89 (~ (holdsAt @ (waterLevel @ X0) @ X1)
% 65.14/9.89 | ((X3) != (plus @ X0 @ X2))
% 65.14/9.89 | (trajectory @ filling @ X1 @ (waterLevel @ X3) @ X2))),
% 65.14/9.89 inference('cnf', [status(esa)], [change_of_waterLevel])).
% 65.14/9.89 thf(zip_derived_cl353, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 (~ (holdsAt @ (waterLevel @ n0) @ X1)
% 65.14/9.89 | ((X0) != (n3))
% 65.14/9.89 | (trajectory @ filling @ X1 @ (waterLevel @ X0) @ n3))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl63])).
% 65.14/9.89 thf(zip_derived_cl2072, plain,
% 65.14/9.89 (![X0 : $i]:
% 65.14/9.89 ( (trajectory @ filling @ X0 @ (waterLevel @ n3) @ n3)
% 65.14/9.89 | ~ (holdsAt @ (waterLevel @ n0) @ X0))),
% 65.14/9.89 inference('eq_res', [status(thm)], [zip_derived_cl353])).
% 65.14/9.89 thf(zip_derived_cl2145, plain,
% 65.14/9.89 ( (trajectory @ filling @ n0 @ (waterLevel @ n3) @ n3)),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl109, zip_derived_cl2072])).
% 65.14/9.89 thf(zip_derived_cl131, plain, (![X0 : $i]: (less_or_equal @ X0 @ X0)),
% 65.14/9.89 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 65.14/9.89 thf(zip_derived_cl89, plain,
% 65.14/9.89 (![X0 : $i]: ( (less @ X0 @ n1) | ~ (less_or_equal @ X0 @ n0))),
% 65.14/9.89 inference('cnf', [status(esa)], [less1])).
% 65.14/9.89 thf(zip_derived_cl156, plain, ( (less @ n0 @ n1)),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl89])).
% 65.14/9.89 thf(zip_derived_cl85, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ~ (less @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [less_or_equal])).
% 65.14/9.89 thf(zip_derived_cl161, plain, ( (less_or_equal @ n0 @ n1)),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl85])).
% 65.14/9.89 thf(zip_derived_cl91, plain,
% 65.14/9.89 (![X0 : $i]: ( (less @ X0 @ n2) | ~ (less_or_equal @ X0 @ n1))),
% 65.14/9.89 inference('cnf', [status(esa)], [less2])).
% 65.14/9.89 thf(zip_derived_cl338, plain, ( (less @ n0 @ n2)),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl91])).
% 65.14/9.89 thf(zip_derived_cl85, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ~ (less @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [less_or_equal])).
% 65.14/9.89 thf(zip_derived_cl436, plain, ( (less_or_equal @ n0 @ n2)),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl338, zip_derived_cl85])).
% 65.14/9.89 thf(less3, axiom,
% 65.14/9.89 (![X:$i]: ( ( less @ X @ n3 ) <=> ( less_or_equal @ X @ n2 ) ))).
% 65.14/9.89 thf(zip_derived_cl93, plain,
% 65.14/9.89 (![X0 : $i]: ( (less @ X0 @ n3) | ~ (less_or_equal @ X0 @ n2))),
% 65.14/9.89 inference('cnf', [status(esa)], [less3])).
% 65.14/9.89 thf(zip_derived_cl472, plain, ( (less @ n0 @ n3)),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl436, zip_derived_cl93])).
% 65.14/9.89 thf(change_holding, axiom,
% 65.14/9.89 (![Event:$i,Time:$i,Fluent:$i,Fluent2:$i,Offset:$i]:
% 65.14/9.89 ( ( ( happens @ Event @ Time ) & ( initiates @ Event @ Fluent @ Time ) &
% 65.14/9.89 ( less @ n0 @ Offset ) &
% 65.14/9.89 ( trajectory @ Fluent @ Time @ Fluent2 @ Offset ) &
% 65.14/9.89 ( ~( stoppedIn @ Time @ Fluent @ ( plus @ Time @ Offset ) ) ) ) =>
% 65.14/9.89 ( holdsAt @ Fluent2 @ ( plus @ Time @ Offset ) ) ))).
% 65.14/9.89 thf(zip_derived_cl10, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 65.14/9.89 (~ (initiates @ X0 @ X1 @ X2)
% 65.14/9.89 | ~ (happens @ X0 @ X2)
% 65.14/9.89 | ~ (less @ n0 @ X3)
% 65.14/9.89 | ~ (trajectory @ X1 @ X2 @ X4 @ X3)
% 65.14/9.89 | (stoppedIn @ X2 @ X1 @ (plus @ X2 @ X3))
% 65.14/9.89 | (holdsAt @ X4 @ (plus @ X2 @ X3)))),
% 65.14/9.89 inference('cnf', [status(esa)], [change_holding])).
% 65.14/9.89 thf(zip_derived_cl483, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 65.14/9.89 (~ (initiates @ X2 @ X1 @ X0)
% 65.14/9.89 | ~ (happens @ X2 @ X0)
% 65.14/9.89 | ~ (trajectory @ X1 @ X0 @ X3 @ n3)
% 65.14/9.89 | (stoppedIn @ X0 @ X1 @ (plus @ X0 @ n3))
% 65.14/9.89 | (holdsAt @ X3 @ (plus @ X0 @ n3)))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl472, zip_derived_cl10])).
% 65.14/9.89 thf(zip_derived_cl4301, plain,
% 65.14/9.89 (![X0 : $i]:
% 65.14/9.89 (~ (initiates @ X0 @ filling @ n0)
% 65.14/9.89 | ~ (happens @ X0 @ n0)
% 65.14/9.89 | (stoppedIn @ n0 @ filling @ (plus @ n0 @ n3))
% 65.14/9.89 | (holdsAt @ (waterLevel @ n3) @ (plus @ n0 @ n3)))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl2145, zip_derived_cl483])).
% 65.14/9.89 thf(zip_derived_cl76, plain, (((plus @ n0 @ n3) = (n3))),
% 65.14/9.89 inference('cnf', [status(esa)], [plus0_3])).
% 65.14/9.89 thf(zip_derived_cl76, plain, (((plus @ n0 @ n3) = (n3))),
% 65.14/9.89 inference('cnf', [status(esa)], [plus0_3])).
% 65.14/9.89 thf(waterLevel_3, conjecture, (holdsAt @ ( waterLevel @ n3 ) @ n3)).
% 65.14/9.89 thf(zf_stmt_5, negated_conjecture, (~( holdsAt @ ( waterLevel @ n3 ) @ n3 )),
% 65.14/9.89 inference('cnf.neg', [status(esa)], [waterLevel_3])).
% 65.14/9.89 thf(zip_derived_cl115, plain, (~ (holdsAt @ (waterLevel @ n3) @ n3)),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 65.14/9.89 thf(zip_derived_cl4314, plain,
% 65.14/9.89 (![X0 : $i]:
% 65.14/9.89 (~ (initiates @ X0 @ filling @ n0)
% 65.14/9.89 | ~ (happens @ X0 @ n0)
% 65.14/9.89 | (stoppedIn @ n0 @ filling @ n3))),
% 65.14/9.89 inference('demod', [status(thm)],
% 65.14/9.89 [zip_derived_cl4301, zip_derived_cl76, zip_derived_cl76,
% 65.14/9.89 zip_derived_cl115])).
% 65.14/9.89 thf(zip_derived_cl4315, plain,
% 65.14/9.89 ((~ (initiates @ tapOn @ filling @ n0) | (stoppedIn @ n0 @ filling @ n3))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl159, zip_derived_cl4314])).
% 65.14/9.89 thf(initiates_all_defn, axiom,
% 65.14/9.89 (![Event:$i,Fluent:$i,Time:$i]:
% 65.14/9.89 ( ( initiates @ Event @ Fluent @ Time ) <=>
% 65.14/9.89 ( ( ?[Height:$i]:
% 65.14/9.89 ( ( holdsAt @ ( waterLevel @ Height ) @ Time ) &
% 65.14/9.89 ( ( Event ) = ( overflow ) ) &
% 65.14/9.89 ( ( Fluent ) = ( waterLevel @ Height ) ) ) ) |
% 65.14/9.89 ( ?[Height:$i]:
% 65.14/9.89 ( ( holdsAt @ ( waterLevel @ Height ) @ Time ) &
% 65.14/9.89 ( ( Event ) = ( tapOff ) ) &
% 65.14/9.89 ( ( Fluent ) = ( waterLevel @ Height ) ) ) ) |
% 65.14/9.89 ( ( ( Fluent ) = ( spilling ) ) & ( ( Event ) = ( overflow ) ) ) |
% 65.14/9.89 ( ( ( Fluent ) = ( filling ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 65.14/9.89 thf(zf_stmt_6, axiom,
% 65.14/9.89 (![Fluent:$i,Event:$i]:
% 65.14/9.89 ( ( zip_tseitin_3 @ Fluent @ Event ) <=>
% 65.14/9.89 ( ( ( Event ) = ( tapOn ) ) & ( ( Fluent ) = ( filling ) ) ) ))).
% 65.14/9.89 thf(zip_derived_cl38, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 ( (zip_tseitin_3 @ X0 @ X1) | ((X0) != (filling)) | ((X1) != (tapOn)))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_6])).
% 65.14/9.89 thf(zip_derived_cl133, plain,
% 65.14/9.89 (![X0 : $i]: (((X0) != (tapOn)) | (zip_tseitin_3 @ filling @ X0))),
% 65.14/9.89 inference('eq_res', [status(thm)], [zip_derived_cl38])).
% 65.14/9.89 thf(zip_derived_cl152, plain, ( (zip_tseitin_3 @ filling @ tapOn)),
% 65.14/9.89 inference('eq_res', [status(thm)], [zip_derived_cl133])).
% 65.14/9.89 thf(zf_stmt_7, type, zip_tseitin_3 : $i > $i > $o).
% 65.14/9.89 thf(zf_stmt_8, type, zip_tseitin_2 : $i > $i > $o).
% 65.14/9.89 thf(zf_stmt_9, axiom,
% 65.14/9.89 (![Fluent:$i,Event:$i]:
% 65.14/9.89 ( ( zip_tseitin_2 @ Fluent @ Event ) <=>
% 65.14/9.89 ( ( ( Event ) = ( overflow ) ) & ( ( Fluent ) = ( spilling ) ) ) ))).
% 65.14/9.89 thf(zf_stmt_10, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 65.14/9.89 thf(zf_stmt_11, axiom,
% 65.14/9.89 (![Height:$i,Time:$i,Fluent:$i,Event:$i]:
% 65.14/9.89 ( ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event ) <=>
% 65.14/9.89 ( ( ( Fluent ) = ( waterLevel @ Height ) ) &
% 65.14/9.89 ( ( Event ) = ( tapOff ) ) &
% 65.14/9.89 ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ))).
% 65.14/9.89 thf(zf_stmt_12, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 65.14/9.89 thf(zf_stmt_13, axiom,
% 65.14/9.89 (![Height:$i,Time:$i,Fluent:$i,Event:$i]:
% 65.14/9.89 ( ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) <=>
% 65.14/9.89 ( ( ( Fluent ) = ( waterLevel @ Height ) ) &
% 65.14/9.89 ( ( Event ) = ( overflow ) ) &
% 65.14/9.89 ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ))).
% 65.14/9.89 thf(zf_stmt_14, axiom,
% 65.14/9.89 (![Event:$i,Fluent:$i,Time:$i]:
% 65.14/9.89 ( ( initiates @ Event @ Fluent @ Time ) <=>
% 65.14/9.89 ( ( zip_tseitin_3 @ Fluent @ Event ) |
% 65.14/9.89 ( zip_tseitin_2 @ Fluent @ Event ) |
% 65.14/9.89 ( ?[Height:$i]: ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event ) ) |
% 65.14/9.89 ( ?[Height:$i]: ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) ) ) ))).
% 65.14/9.89 thf(zip_derived_cl40, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 ( (initiates @ X0 @ X1 @ X2) | ~ (zip_tseitin_3 @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_14])).
% 65.14/9.89 thf(zip_derived_cl226, plain,
% 65.14/9.89 (![X0 : $i]: (initiates @ tapOn @ filling @ X0)),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl40])).
% 65.14/9.89 thf(zip_derived_cl4316, plain, ( (stoppedIn @ n0 @ filling @ n3)),
% 65.14/9.89 inference('demod', [status(thm)], [zip_derived_cl4315, zip_derived_cl226])).
% 65.14/9.89 thf(stoppedin_defn, axiom,
% 65.14/9.89 (![Time1:$i,Fluent:$i,Time2:$i]:
% 65.14/9.89 ( ( stoppedIn @ Time1 @ Fluent @ Time2 ) <=>
% 65.14/9.89 ( ?[Event:$i,Time:$i]:
% 65.14/9.89 ( ( terminates @ Event @ Fluent @ Time ) & ( less @ Time @ Time2 ) &
% 65.14/9.89 ( less @ Time1 @ Time ) & ( happens @ Event @ Time ) ) ) ))).
% 65.14/9.89 thf(zip_derived_cl1, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 ( (less @ (sk__1 @ X0 @ X1 @ X2) @ X0) | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [stoppedin_defn])).
% 65.14/9.89 thf(zip_derived_cl4318, plain, ( (less @ (sk__1 @ n3 @ filling @ n0) @ n3)),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl4316, zip_derived_cl1])).
% 65.14/9.89 thf(zip_derived_cl92, plain,
% 65.14/9.89 (![X0 : $i]: ( (less_or_equal @ X0 @ n2) | ~ (less @ X0 @ n3))),
% 65.14/9.89 inference('cnf', [status(esa)], [less3])).
% 65.14/9.89 thf(zip_derived_cl4323, plain,
% 65.14/9.89 ( (less_or_equal @ (sk__1 @ n3 @ filling @ n0) @ n2)),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl4318, zip_derived_cl92])).
% 65.14/9.89 thf(zip_derived_cl84, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [less_or_equal])).
% 65.14/9.89 thf(zip_derived_cl4364, plain,
% 65.14/9.89 ((((sk__1 @ n3 @ filling @ n0) = (n2))
% 65.14/9.89 | (less @ (sk__1 @ n3 @ filling @ n0) @ n2))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl4323, zip_derived_cl84])).
% 65.14/9.89 thf(zip_derived_cl106, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [less_property])).
% 65.14/9.89 thf(zip_derived_cl4521, plain,
% 65.14/9.89 ((((sk__1 @ n3 @ filling @ n0) = (n2))
% 65.14/9.89 | ~ (less @ n2 @ (sk__1 @ n3 @ filling @ n0)))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl4364, zip_derived_cl106])).
% 65.14/9.89 thf(zip_derived_cl107, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [less_property])).
% 65.14/9.89 thf(zip_derived_cl4529, plain, (~ (less @ n2 @ (sk__1 @ n3 @ filling @ n0))),
% 65.14/9.89 inference('clc', [status(thm)], [zip_derived_cl4521, zip_derived_cl107])).
% 65.14/9.89 thf(zip_derived_cl16115, plain,
% 65.14/9.89 ((((sk__1 @ n3 @ filling @ n0) = (n0))
% 65.14/9.89 | ((n2) = (sk__1 @ n3 @ filling @ n0))
% 65.14/9.89 | ((sk__1 @ n3 @ filling @ n0) = (n1)))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl13347, zip_derived_cl4529])).
% 65.14/9.89 thf(zip_derived_cl4316, plain, ( (stoppedIn @ n0 @ filling @ n3)),
% 65.14/9.89 inference('demod', [status(thm)], [zip_derived_cl4315, zip_derived_cl226])).
% 65.14/9.89 thf(zip_derived_cl3, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 ( (happens @ (sk_ @ X0 @ X1 @ X2) @ (sk__1 @ X0 @ X1 @ X2))
% 65.14/9.89 | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [stoppedin_defn])).
% 65.14/9.89 thf(zip_derived_cl4319, plain,
% 65.14/9.89 ( (happens @ (sk_ @ n3 @ filling @ n0) @ (sk__1 @ n3 @ filling @ n0))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl4316, zip_derived_cl3])).
% 65.14/9.89 thf(zip_derived_cl60, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 ( (zip_tseitin_4 @ X0 @ X1)
% 65.14/9.89 | (zip_tseitin_5 @ X0 @ X1)
% 65.14/9.89 | ~ (happens @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 65.14/9.89 thf(zip_derived_cl4495, plain,
% 65.14/9.89 (( (zip_tseitin_4 @ (sk__1 @ n3 @ filling @ n0) @
% 65.14/9.89 (sk_ @ n3 @ filling @ n0))
% 65.14/9.89 | (zip_tseitin_5 @ (sk__1 @ n3 @ filling @ n0) @
% 65.14/9.89 (sk_ @ n3 @ filling @ n0)))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl4319, zip_derived_cl60])).
% 65.14/9.89 thf(zip_derived_cl57, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: (((X0) = (tapOn)) | ~ (zip_tseitin_5 @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 65.14/9.89 thf(zip_derived_cl31580, plain,
% 65.14/9.89 (( (zip_tseitin_4 @ (sk__1 @ n3 @ filling @ n0) @
% 65.14/9.89 (sk_ @ n3 @ filling @ n0))
% 65.14/9.89 | ((sk_ @ n3 @ filling @ n0) = (tapOn)))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl4495, zip_derived_cl57])).
% 65.14/9.89 thf(zip_derived_cl53, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 ( (holdsAt @ (waterLevel @ n3) @ X0) | ~ (zip_tseitin_4 @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 65.14/9.89 thf(zip_derived_cl31601, plain,
% 65.14/9.89 ((((sk_ @ n3 @ filling @ n0) = (tapOn))
% 65.14/9.89 | (holdsAt @ (waterLevel @ n3) @ (sk__1 @ n3 @ filling @ n0)))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl31580, zip_derived_cl53])).
% 65.14/9.89 thf(zip_derived_cl4316, plain, ( (stoppedIn @ n0 @ filling @ n3)),
% 65.14/9.89 inference('demod', [status(thm)], [zip_derived_cl4315, zip_derived_cl226])).
% 65.14/9.89 thf(zip_derived_cl0, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 ( (terminates @ (sk_ @ X0 @ X1 @ X2) @ X1 @ (sk__1 @ X0 @ X1 @ X2))
% 65.14/9.89 | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [stoppedin_defn])).
% 65.14/9.89 thf(zip_derived_cl4317, plain,
% 65.14/9.89 ( (terminates @ (sk_ @ n3 @ filling @ n0) @ filling @
% 65.14/9.89 (sk__1 @ n3 @ filling @ n0))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl4316, zip_derived_cl0])).
% 65.14/9.89 thf(terminates_all_defn, axiom,
% 65.14/9.89 (![Event:$i,Fluent:$i,Time:$i]:
% 65.14/9.89 ( ( terminates @ Event @ Fluent @ Time ) <=>
% 65.14/9.89 ( ( ( ( Event ) = ( tapOff ) ) & ( ( Fluent ) = ( filling ) ) ) |
% 65.14/9.89 ( ( ( Event ) = ( overflow ) ) & ( ( Fluent ) = ( filling ) ) ) ) ))).
% 65.14/9.89 thf(zip_derived_cl45, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 (((X0) = (overflow))
% 65.14/9.89 | ((X0) = (tapOff))
% 65.14/9.89 | ~ (terminates @ X0 @ X1 @ X2))),
% 65.14/9.89 inference('cnf', [status(esa)], [terminates_all_defn])).
% 65.14/9.89 thf(zip_derived_cl4660, plain,
% 65.14/9.89 ((((sk_ @ n3 @ filling @ n0) = (overflow))
% 65.14/9.89 | ((sk_ @ n3 @ filling @ n0) = (tapOff)))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl4317, zip_derived_cl45])).
% 65.14/9.89 thf(zip_derived_cl31580, plain,
% 65.14/9.89 (( (zip_tseitin_4 @ (sk__1 @ n3 @ filling @ n0) @
% 65.14/9.89 (sk_ @ n3 @ filling @ n0))
% 65.14/9.89 | ((sk_ @ n3 @ filling @ n0) = (tapOn)))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl4495, zip_derived_cl57])).
% 65.14/9.89 thf(zip_derived_cl31605, plain,
% 65.14/9.89 ((((sk_ @ n3 @ filling @ n0) = (overflow))
% 65.14/9.89 | (zip_tseitin_4 @ (sk__1 @ n3 @ filling @ n0) @ tapOff)
% 65.14/9.89 | ((tapOff) = (tapOn)))),
% 65.14/9.89 inference('s_sup+', [status(thm)],
% 65.14/9.89 [zip_derived_cl4660, zip_derived_cl31580])).
% 65.14/9.89 thf(tapOff_not_tapOn, axiom, (( tapOff ) != ( tapOn ))).
% 65.14/9.89 thf(zip_derived_cl65, plain, (((tapOff) != (tapOn))),
% 65.14/9.89 inference('cnf', [status(esa)], [tapOff_not_tapOn])).
% 65.14/9.89 thf(zip_derived_cl31618, plain,
% 65.14/9.89 ((((sk_ @ n3 @ filling @ n0) = (overflow))
% 65.14/9.89 | (zip_tseitin_4 @ (sk__1 @ n3 @ filling @ n0) @ tapOff))),
% 65.14/9.89 inference('simplify_reflect-', [status(thm)],
% 65.14/9.89 [zip_derived_cl31605, zip_derived_cl65])).
% 65.14/9.89 thf(zip_derived_cl55, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: (((X0) = (overflow)) | ~ (zip_tseitin_4 @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 65.14/9.89 thf(zip_derived_cl31689, plain,
% 65.14/9.89 ((((sk_ @ n3 @ filling @ n0) = (overflow)) | ((tapOff) = (overflow)))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl31618, zip_derived_cl55])).
% 65.14/9.89 thf(tapOff_not_overflow, axiom, (( tapOff ) != ( overflow ))).
% 65.14/9.89 thf(zip_derived_cl66, plain, (((tapOff) != (overflow))),
% 65.14/9.89 inference('cnf', [status(esa)], [tapOff_not_overflow])).
% 65.14/9.89 thf(zip_derived_cl31702, plain, (((sk_ @ n3 @ filling @ n0) = (overflow))),
% 65.14/9.89 inference('simplify_reflect-', [status(thm)],
% 65.14/9.89 [zip_derived_cl31689, zip_derived_cl66])).
% 65.14/9.89 thf(zip_derived_cl31716, plain,
% 65.14/9.89 ((((overflow) = (tapOn))
% 65.14/9.89 | (holdsAt @ (waterLevel @ n3) @ (sk__1 @ n3 @ filling @ n0)))),
% 65.14/9.89 inference('demod', [status(thm)],
% 65.14/9.89 [zip_derived_cl31601, zip_derived_cl31702])).
% 65.14/9.89 thf(overflow_not_tapOn, axiom, (( overflow ) != ( tapOn ))).
% 65.14/9.89 thf(zip_derived_cl67, plain, (((overflow) != (tapOn))),
% 65.14/9.89 inference('cnf', [status(esa)], [overflow_not_tapOn])).
% 65.14/9.89 thf(zip_derived_cl31717, plain,
% 65.14/9.89 ( (holdsAt @ (waterLevel @ n3) @ (sk__1 @ n3 @ filling @ n0))),
% 65.14/9.89 inference('simplify_reflect-', [status(thm)],
% 65.14/9.89 [zip_derived_cl31716, zip_derived_cl67])).
% 65.14/9.89 thf(zip_derived_cl28, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 65.14/9.89 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3)
% 65.14/9.89 | ~ (holdsAt @ (waterLevel @ X0) @ X1)
% 65.14/9.89 | ((X3) != (overflow))
% 65.14/9.89 | ((X2) != (waterLevel @ X0)))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_13])).
% 65.14/9.89 thf(zip_derived_cl347, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 (((X0) != (waterLevel @ X1))
% 65.14/9.89 | ~ (holdsAt @ (waterLevel @ X1) @ X2)
% 65.14/9.89 | (zip_tseitin_0 @ X1 @ X2 @ X0 @ overflow))),
% 65.14/9.89 inference('eq_res', [status(thm)], [zip_derived_cl28])).
% 65.14/9.89 thf(zip_derived_cl2965, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 ( (zip_tseitin_0 @ X0 @ X1 @ (waterLevel @ X0) @ overflow)
% 65.14/9.89 | ~ (holdsAt @ (waterLevel @ X0) @ X1))),
% 65.14/9.89 inference('eq_res', [status(thm)], [zip_derived_cl347])).
% 65.14/9.89 thf(zip_derived_cl31744, plain,
% 65.14/9.89 ( (zip_tseitin_0 @ n3 @ (sk__1 @ n3 @ filling @ n0) @
% 65.14/9.89 (waterLevel @ n3) @ overflow)),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl31717, zip_derived_cl2965])).
% 65.14/9.89 thf(zip_derived_cl43, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 65.14/9.89 ( (initiates @ X0 @ X1 @ X2) | ~ (zip_tseitin_0 @ X3 @ X2 @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_14])).
% 65.14/9.89 thf(zip_derived_cl31828, plain,
% 65.14/9.89 ( (initiates @ overflow @ (waterLevel @ n3) @ (sk__1 @ n3 @ filling @ n0))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl31744, zip_derived_cl43])).
% 65.14/9.89 thf(happens_holds, axiom,
% 65.14/9.89 (![Event:$i,Time:$i,Fluent:$i]:
% 65.14/9.89 ( ( ( happens @ Event @ Time ) & ( initiates @ Event @ Fluent @ Time ) ) =>
% 65.14/9.89 ( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ))).
% 65.14/9.89 thf(zip_derived_cl20, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 (~ (happens @ X0 @ X1)
% 65.14/9.89 | ~ (initiates @ X0 @ X2 @ X1)
% 65.14/9.89 | (holdsAt @ X2 @ (plus @ X1 @ n1)))),
% 65.14/9.89 inference('cnf', [status(esa)], [happens_holds])).
% 65.14/9.89 thf(zip_derived_cl31841, plain,
% 65.14/9.89 ((~ (happens @ overflow @ (sk__1 @ n3 @ filling @ n0))
% 65.14/9.89 | (holdsAt @ (waterLevel @ n3) @
% 65.14/9.89 (plus @ (sk__1 @ n3 @ filling @ n0) @ n1)))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl31828, zip_derived_cl20])).
% 65.14/9.89 thf(zip_derived_cl4319, plain,
% 65.14/9.89 ( (happens @ (sk_ @ n3 @ filling @ n0) @ (sk__1 @ n3 @ filling @ n0))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl4316, zip_derived_cl3])).
% 65.14/9.89 thf(zip_derived_cl31702, plain, (((sk_ @ n3 @ filling @ n0) = (overflow))),
% 65.14/9.89 inference('simplify_reflect-', [status(thm)],
% 65.14/9.89 [zip_derived_cl31689, zip_derived_cl66])).
% 65.14/9.89 thf(zip_derived_cl31704, plain,
% 65.14/9.89 ( (happens @ overflow @ (sk__1 @ n3 @ filling @ n0))),
% 65.14/9.89 inference('demod', [status(thm)],
% 65.14/9.89 [zip_derived_cl4319, zip_derived_cl31702])).
% 65.14/9.89 thf(symmetry_of_plus, axiom,
% 65.14/9.89 (![X:$i,Y:$i]: ( ( plus @ X @ Y ) = ( plus @ Y @ X ) ))).
% 65.14/9.89 thf(zip_derived_cl83, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 65.14/9.89 thf(zip_derived_cl31856, plain,
% 65.14/9.89 ( (holdsAt @ (waterLevel @ n3) @
% 65.14/9.89 (plus @ n1 @ (sk__1 @ n3 @ filling @ n0)))),
% 65.14/9.89 inference('demod', [status(thm)],
% 65.14/9.89 [zip_derived_cl31841, zip_derived_cl31704, zip_derived_cl83])).
% 65.14/9.89 thf(zip_derived_cl31919, plain,
% 65.14/9.89 ((((sk__1 @ n3 @ filling @ n0) = (n1))
% 65.14/9.89 | ((sk__1 @ n3 @ filling @ n0) = (n0))
% 65.14/9.89 | (holdsAt @ (waterLevel @ n3) @ (plus @ n1 @ n2)))),
% 65.14/9.89 inference('s_sup+', [status(thm)],
% 65.14/9.89 [zip_derived_cl16115, zip_derived_cl31856])).
% 65.14/9.89 thf(plus1_2, axiom, (( plus @ n1 @ n2 ) = ( n3 ))).
% 65.14/9.89 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 65.14/9.89 inference('cnf', [status(esa)], [plus1_2])).
% 65.14/9.89 thf(zip_derived_cl115, plain, (~ (holdsAt @ (waterLevel @ n3) @ n3)),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 65.14/9.89 thf(zip_derived_cl31930, plain,
% 65.14/9.89 ((((sk__1 @ n3 @ filling @ n0) = (n1))
% 65.14/9.89 | ((sk__1 @ n3 @ filling @ n0) = (n0)))),
% 65.14/9.89 inference('demod', [status(thm)],
% 65.14/9.89 [zip_derived_cl31919, zip_derived_cl78, zip_derived_cl115])).
% 65.14/9.89 thf(zip_derived_cl31717, plain,
% 65.14/9.89 ( (holdsAt @ (waterLevel @ n3) @ (sk__1 @ n3 @ filling @ n0))),
% 65.14/9.89 inference('simplify_reflect-', [status(thm)],
% 65.14/9.89 [zip_derived_cl31716, zip_derived_cl67])).
% 65.14/9.89 thf(zip_derived_cl32206, plain,
% 65.14/9.89 ((((sk__1 @ n3 @ filling @ n0) = (n0))
% 65.14/9.89 | (holdsAt @ (waterLevel @ n3) @ n1))),
% 65.14/9.89 inference('s_sup+', [status(thm)],
% 65.14/9.89 [zip_derived_cl31930, zip_derived_cl31717])).
% 65.14/9.89 thf(zip_derived_cl2, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 ( (less @ X0 @ (sk__1 @ X1 @ X2 @ X0)) | ~ (stoppedIn @ X0 @ X2 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [stoppedin_defn])).
% 65.14/9.89 thf(zip_derived_cl32260, plain,
% 65.14/9.89 (( (holdsAt @ (waterLevel @ n3) @ n1)
% 65.14/9.89 | (less @ n0 @ n0)
% 65.14/9.89 | ~ (stoppedIn @ n0 @ filling @ n3))),
% 65.14/9.89 inference('s_sup+', [status(thm)], [zip_derived_cl32206, zip_derived_cl2])).
% 65.14/9.89 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 65.14/9.89 inference('cnf', [status(esa)], [less0])).
% 65.14/9.89 thf(zip_derived_cl4316, plain, ( (stoppedIn @ n0 @ filling @ n3)),
% 65.14/9.89 inference('demod', [status(thm)], [zip_derived_cl4315, zip_derived_cl226])).
% 65.14/9.89 thf(zip_derived_cl32345, plain, ( (holdsAt @ (waterLevel @ n3) @ n1)),
% 65.14/9.89 inference('demod', [status(thm)],
% 65.14/9.89 [zip_derived_cl32260, zip_derived_cl87, zip_derived_cl4316])).
% 65.14/9.89 thf(zip_derived_cl2965, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 ( (zip_tseitin_0 @ X0 @ X1 @ (waterLevel @ X0) @ overflow)
% 65.14/9.89 | ~ (holdsAt @ (waterLevel @ X0) @ X1))),
% 65.14/9.89 inference('eq_res', [status(thm)], [zip_derived_cl347])).
% 65.14/9.89 thf(zip_derived_cl32401, plain,
% 65.14/9.89 ( (zip_tseitin_0 @ n3 @ n1 @ (waterLevel @ n3) @ overflow)),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl32345, zip_derived_cl2965])).
% 65.14/9.89 thf(zip_derived_cl43, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 65.14/9.89 ( (initiates @ X0 @ X1 @ X2) | ~ (zip_tseitin_0 @ X3 @ X2 @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_14])).
% 65.14/9.89 thf(zip_derived_cl32449, plain,
% 65.14/9.89 ( (initiates @ overflow @ (waterLevel @ n3) @ n1)),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl32401, zip_derived_cl43])).
% 65.14/9.89 thf(zip_derived_cl20, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 (~ (happens @ X0 @ X1)
% 65.14/9.89 | ~ (initiates @ X0 @ X2 @ X1)
% 65.14/9.89 | (holdsAt @ X2 @ (plus @ X1 @ n1)))),
% 65.14/9.89 inference('cnf', [status(esa)], [happens_holds])).
% 65.14/9.89 thf(zip_derived_cl32451, plain,
% 65.14/9.89 ((~ (happens @ overflow @ n1)
% 65.14/9.89 | (holdsAt @ (waterLevel @ n3) @ (plus @ n1 @ n1)))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl32449, zip_derived_cl20])).
% 65.14/9.89 thf(zip_derived_cl226, plain,
% 65.14/9.89 (![X0 : $i]: (initiates @ tapOn @ filling @ X0)),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl40])).
% 65.14/9.89 thf(zip_derived_cl159, plain, ( (happens @ tapOn @ n0)),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl155, zip_derived_cl61])).
% 65.14/9.89 thf(plus0_1, axiom, (( plus @ n0 @ n1 ) = ( n1 ))).
% 65.14/9.89 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 65.14/9.89 inference('cnf', [status(esa)], [plus0_1])).
% 65.14/9.89 thf(zip_derived_cl20, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 (~ (happens @ X0 @ X1)
% 65.14/9.89 | ~ (initiates @ X0 @ X2 @ X1)
% 65.14/9.89 | (holdsAt @ X2 @ (plus @ X1 @ n1)))),
% 65.14/9.89 inference('cnf', [status(esa)], [happens_holds])).
% 65.14/9.89 thf(zip_derived_cl341, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 (~ (happens @ X1 @ n0)
% 65.14/9.89 | ~ (initiates @ X1 @ X0 @ n0)
% 65.14/9.89 | (holdsAt @ X0 @ n1))),
% 65.14/9.89 inference('s_sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl20])).
% 65.14/9.89 thf(zip_derived_cl924, plain,
% 65.14/9.89 (![X0 : $i]: (~ (initiates @ tapOn @ X0 @ n0) | (holdsAt @ X0 @ n1))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl341])).
% 65.14/9.89 thf(zip_derived_cl925, plain, ( (holdsAt @ filling @ n1)),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl226, zip_derived_cl924])).
% 65.14/9.89 thf(zip_derived_cl56, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 ( (zip_tseitin_4 @ X0 @ X1)
% 65.14/9.89 | ((X1) != (overflow))
% 65.14/9.89 | ~ (holdsAt @ filling @ X0)
% 65.14/9.89 | ~ (holdsAt @ (waterLevel @ n3) @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 65.14/9.89 thf(zip_derived_cl281, plain,
% 65.14/9.89 (![X0 : $i]:
% 65.14/9.89 (~ (holdsAt @ (waterLevel @ n3) @ X0)
% 65.14/9.89 | ~ (holdsAt @ filling @ X0)
% 65.14/9.89 | (zip_tseitin_4 @ X0 @ overflow))),
% 65.14/9.89 inference('eq_res', [status(thm)], [zip_derived_cl56])).
% 65.14/9.89 thf(zip_derived_cl944, plain,
% 65.14/9.89 ((~ (holdsAt @ (waterLevel @ n3) @ n1) | (zip_tseitin_4 @ n1 @ overflow))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl925, zip_derived_cl281])).
% 65.14/9.89 thf(zip_derived_cl32345, plain, ( (holdsAt @ (waterLevel @ n3) @ n1)),
% 65.14/9.89 inference('demod', [status(thm)],
% 65.14/9.89 [zip_derived_cl32260, zip_derived_cl87, zip_derived_cl4316])).
% 65.14/9.89 thf(zip_derived_cl32393, plain, ( (zip_tseitin_4 @ n1 @ overflow)),
% 65.14/9.89 inference('demod', [status(thm)],
% 65.14/9.89 [zip_derived_cl944, zip_derived_cl32345])).
% 65.14/9.89 thf(zip_derived_cl62, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 ( (happens @ X0 @ X1) | ~ (zip_tseitin_4 @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 65.14/9.89 thf(zip_derived_cl32416, plain, ( (happens @ overflow @ n1)),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl32393, zip_derived_cl62])).
% 65.14/9.89 thf(plus1_1, axiom, (( plus @ n1 @ n1 ) = ( n2 ))).
% 65.14/9.89 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 65.14/9.89 inference('cnf', [status(esa)], [plus1_1])).
% 65.14/9.89 thf(zip_derived_cl32455, plain, ( (holdsAt @ (waterLevel @ n3) @ n2)),
% 65.14/9.89 inference('demod', [status(thm)],
% 65.14/9.89 [zip_derived_cl32451, zip_derived_cl32416, zip_derived_cl77])).
% 65.14/9.89 thf(keep_holding, axiom,
% 65.14/9.89 (![Fluent:$i,Time:$i]:
% 65.14/9.89 ( ( ( holdsAt @ Fluent @ Time ) &
% 65.14/9.89 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) &
% 65.14/9.89 ( ~( ?[Event:$i]:
% 65.14/9.89 ( ( terminates @ Event @ Fluent @ Time ) &
% 65.14/9.89 ( happens @ Event @ Time ) ) ) ) ) =>
% 65.14/9.89 ( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ))).
% 65.14/9.89 thf(zip_derived_cl13, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 ( (holdsAt @ X0 @ (plus @ X1 @ n1))
% 65.14/9.89 | (terminates @ (sk__4 @ X1 @ X0) @ X0 @ X1)
% 65.14/9.89 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 65.14/9.89 | ~ (holdsAt @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [keep_holding])).
% 65.14/9.89 thf(zip_derived_cl32458, plain,
% 65.14/9.89 (( (holdsAt @ (waterLevel @ n3) @ (plus @ n2 @ n1))
% 65.14/9.89 | (terminates @ (sk__4 @ n2 @ (waterLevel @ n3)) @
% 65.14/9.89 (waterLevel @ n3) @ n2)
% 65.14/9.89 | (releasedAt @ (waterLevel @ n3) @ (plus @ n2 @ n1)))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl32455, zip_derived_cl13])).
% 65.14/9.89 thf(zip_derived_cl83, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 65.14/9.89 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 65.14/9.89 inference('cnf', [status(esa)], [plus1_2])).
% 65.14/9.89 thf(zip_derived_cl115, plain, (~ (holdsAt @ (waterLevel @ n3) @ n3)),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 65.14/9.89 thf(zip_derived_cl83, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 65.14/9.89 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 65.14/9.89 inference('cnf', [status(esa)], [plus1_2])).
% 65.14/9.89 thf(zip_derived_cl32473, plain,
% 65.14/9.89 (( (terminates @ (sk__4 @ n2 @ (waterLevel @ n3)) @ (waterLevel @ n3) @
% 65.14/9.89 n2)
% 65.14/9.89 | (releasedAt @ (waterLevel @ n3) @ n3))),
% 65.14/9.89 inference('demod', [status(thm)],
% 65.14/9.89 [zip_derived_cl32458, zip_derived_cl83, zip_derived_cl78,
% 65.14/9.89 zip_derived_cl115, zip_derived_cl83, zip_derived_cl78])).
% 65.14/9.89 thf(zip_derived_cl46, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 (((X0) = (filling))
% 65.14/9.89 | ((X0) = (filling))
% 65.14/9.89 | ~ (terminates @ X1 @ X0 @ X2))),
% 65.14/9.89 inference('cnf', [status(esa)], [terminates_all_defn])).
% 65.14/9.89 thf(zip_derived_cl116, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 (~ (terminates @ X1 @ X0 @ X2) | ((X0) = (filling)))),
% 65.14/9.89 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 65.14/9.89 thf(zip_derived_cl33376, plain,
% 65.14/9.89 (( (releasedAt @ (waterLevel @ n3) @ n3)
% 65.14/9.89 | ((waterLevel @ n3) = (filling)))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl32473, zip_derived_cl116])).
% 65.14/9.89 thf(filling_not_waterLevel, axiom,
% 65.14/9.89 (![X:$i]: ( ( filling ) != ( waterLevel @ X ) ))).
% 65.14/9.89 thf(zip_derived_cl68, plain, (![X0 : $i]: ((filling) != (waterLevel @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [filling_not_waterLevel])).
% 65.14/9.89 thf(zip_derived_cl33377, plain, ( (releasedAt @ (waterLevel @ n3) @ n3)),
% 65.14/9.89 inference('simplify_reflect-', [status(thm)],
% 65.14/9.89 [zip_derived_cl33376, zip_derived_cl68])).
% 65.14/9.89 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 65.14/9.89 inference('cnf', [status(esa)], [plus1_2])).
% 65.14/9.89 thf(zip_derived_cl83, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 65.14/9.89 thf(keep_not_released, axiom,
% 65.14/9.89 (![Fluent:$i,Time:$i]:
% 65.14/9.89 ( ( ( ~( releasedAt @ Fluent @ Time ) ) &
% 65.14/9.89 ( ~( ?[Event:$i]:
% 65.14/9.89 ( ( releases @ Event @ Fluent @ Time ) &
% 65.14/9.89 ( happens @ Event @ Time ) ) ) ) ) =>
% 65.14/9.89 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 65.14/9.89 thf(zip_derived_cl19, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 (~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 65.14/9.89 | (releases @ (sk__7 @ X1 @ X0) @ X0 @ X1)
% 65.14/9.89 | (releasedAt @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [keep_not_released])).
% 65.14/9.89 thf(zip_derived_cl375, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 (~ (releasedAt @ X1 @ (plus @ n1 @ X0))
% 65.14/9.89 | (releases @ (sk__7 @ X0 @ X1) @ X1 @ X0)
% 65.14/9.89 | (releasedAt @ X1 @ X0))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl19])).
% 65.14/9.89 thf(zip_derived_cl3857, plain,
% 65.14/9.89 (![X0 : $i]:
% 65.14/9.89 (~ (releasedAt @ X0 @ n3)
% 65.14/9.89 | (releases @ (sk__7 @ n2 @ X0) @ X0 @ n2)
% 65.14/9.89 | (releasedAt @ X0 @ n2))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl375])).
% 65.14/9.89 thf(zip_derived_cl33381, plain,
% 65.14/9.89 (( (releases @ (sk__7 @ n2 @ (waterLevel @ n3)) @ (waterLevel @ n3) @ n2)
% 65.14/9.89 | (releasedAt @ (waterLevel @ n3) @ n2))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl33377, zip_derived_cl3857])).
% 65.14/9.89 thf(releases_all_defn, axiom,
% 65.14/9.89 (![Event:$i,Fluent:$i,Time:$i]:
% 65.14/9.89 ( ( releases @ Event @ Fluent @ Time ) <=>
% 65.14/9.89 ( ?[Height:$i]:
% 65.14/9.89 ( ( ( Fluent ) = ( waterLevel @ Height ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 65.14/9.89 thf(zip_derived_cl50, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 (((X0) = (tapOn)) | ~ (releases @ X0 @ X1 @ X2))),
% 65.14/9.89 inference('cnf', [status(esa)], [releases_all_defn])).
% 65.14/9.89 thf(zip_derived_cl45041, plain,
% 65.14/9.89 (( (releasedAt @ (waterLevel @ n3) @ n2)
% 65.14/9.89 | ((sk__7 @ n2 @ (waterLevel @ n3)) = (tapOn)))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl33381, zip_derived_cl50])).
% 65.14/9.89 thf(zip_derived_cl18, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 (~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 65.14/9.89 | (happens @ (sk__7 @ X1 @ X0) @ X1)
% 65.14/9.89 | (releasedAt @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [keep_not_released])).
% 65.14/9.89 thf(zip_derived_cl45047, plain,
% 65.14/9.89 (( (releasedAt @ (waterLevel @ n3) @ n2)
% 65.14/9.89 | ~ (releasedAt @ (waterLevel @ n3) @ (plus @ n2 @ n1))
% 65.14/9.89 | (happens @ tapOn @ n2)
% 65.14/9.89 | (releasedAt @ (waterLevel @ n3) @ n2))),
% 65.14/9.89 inference('s_sup+', [status(thm)],
% 65.14/9.89 [zip_derived_cl45041, zip_derived_cl18])).
% 65.14/9.89 thf(zip_derived_cl83, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 65.14/9.89 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 65.14/9.89 inference('cnf', [status(esa)], [plus1_2])).
% 65.14/9.89 thf(zip_derived_cl33377, plain, ( (releasedAt @ (waterLevel @ n3) @ n3)),
% 65.14/9.89 inference('simplify_reflect-', [status(thm)],
% 65.14/9.89 [zip_derived_cl33376, zip_derived_cl68])).
% 65.14/9.89 thf(zip_derived_cl45055, plain,
% 65.14/9.89 (( (releasedAt @ (waterLevel @ n3) @ n2)
% 65.14/9.89 | (happens @ tapOn @ n2)
% 65.14/9.89 | (releasedAt @ (waterLevel @ n3) @ n2))),
% 65.14/9.89 inference('demod', [status(thm)],
% 65.14/9.89 [zip_derived_cl45047, zip_derived_cl83, zip_derived_cl78,
% 65.14/9.89 zip_derived_cl33377])).
% 65.14/9.89 thf(zip_derived_cl45056, plain,
% 65.14/9.89 (( (happens @ tapOn @ n2) | (releasedAt @ (waterLevel @ n3) @ n2))),
% 65.14/9.89 inference('simplify', [status(thm)], [zip_derived_cl45055])).
% 65.14/9.89 thf(zip_derived_cl32416, plain, ( (happens @ overflow @ n1)),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl32393, zip_derived_cl62])).
% 65.14/9.89 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 65.14/9.89 inference('cnf', [status(esa)], [plus1_1])).
% 65.14/9.89 thf(happens_not_released, axiom,
% 65.14/9.89 (![Event:$i,Time:$i,Fluent:$i]:
% 65.14/9.89 ( ( ( happens @ Event @ Time ) &
% 65.14/9.89 ( ( initiates @ Event @ Fluent @ Time ) |
% 65.14/9.89 ( terminates @ Event @ Fluent @ Time ) ) ) =>
% 65.14/9.89 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 65.14/9.89 thf(zip_derived_cl24, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 65.14/9.89 (~ (happens @ X0 @ X1)
% 65.14/9.89 | ~ (initiates @ X0 @ X2 @ X1)
% 65.14/9.89 | ~ (releasedAt @ X2 @ (plus @ X1 @ n1)))),
% 65.14/9.89 inference('cnf', [status(esa)], [happens_not_released])).
% 65.14/9.89 thf(zip_derived_cl147, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 (~ (happens @ X1 @ n1)
% 65.14/9.89 | ~ (initiates @ X1 @ X0 @ n1)
% 65.14/9.89 | ~ (releasedAt @ X0 @ n2))),
% 65.14/9.89 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl24])).
% 65.14/9.89 thf(zip_derived_cl32421, plain,
% 65.14/9.89 (![X0 : $i]:
% 65.14/9.89 (~ (initiates @ overflow @ X0 @ n1) | ~ (releasedAt @ X0 @ n2))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl32416, zip_derived_cl147])).
% 65.14/9.89 thf(zip_derived_cl45076, plain,
% 65.14/9.89 (( (happens @ tapOn @ n2)
% 65.14/9.89 | ~ (initiates @ overflow @ (waterLevel @ n3) @ n1))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl45056, zip_derived_cl32421])).
% 65.14/9.89 thf(zip_derived_cl32449, plain,
% 65.14/9.89 ( (initiates @ overflow @ (waterLevel @ n3) @ n1)),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl32401, zip_derived_cl43])).
% 65.14/9.89 thf(zip_derived_cl45082, plain, ( (happens @ tapOn @ n2)),
% 65.14/9.89 inference('demod', [status(thm)],
% 65.14/9.89 [zip_derived_cl45076, zip_derived_cl32449])).
% 65.14/9.89 thf(zip_derived_cl60, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]:
% 65.14/9.89 ( (zip_tseitin_4 @ X0 @ X1)
% 65.14/9.89 | (zip_tseitin_5 @ X0 @ X1)
% 65.14/9.89 | ~ (happens @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 65.14/9.89 thf(zip_derived_cl45085, plain,
% 65.14/9.89 (( (zip_tseitin_4 @ n2 @ tapOn) | (zip_tseitin_5 @ n2 @ tapOn))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl45082, zip_derived_cl60])).
% 65.14/9.89 thf(zip_derived_cl58, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: (((X0) = (n0)) | ~ (zip_tseitin_5 @ X0 @ X1))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 65.14/9.89 thf(zip_derived_cl45136, plain,
% 65.14/9.89 (( (zip_tseitin_4 @ n2 @ tapOn) | ((n2) = (n0)))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl45085, zip_derived_cl58])).
% 65.14/9.89 thf(zip_derived_cl55, plain,
% 65.14/9.89 (![X0 : $i, X1 : $i]: (((X0) = (overflow)) | ~ (zip_tseitin_4 @ X1 @ X0))),
% 65.14/9.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 65.14/9.89 thf(zip_derived_cl45140, plain, ((((n2) = (n0)) | ((tapOn) = (overflow)))),
% 65.14/9.89 inference('s_sup-', [status(thm)],
% 65.14/9.89 [zip_derived_cl45136, zip_derived_cl55])).
% 65.14/9.89 thf(zip_derived_cl67, plain, (((overflow) != (tapOn))),
% 65.14/9.89 inference('cnf', [status(esa)], [overflow_not_tapOn])).
% 65.14/9.89 thf(zip_derived_cl45142, plain, (((n2) = (n0))),
% 65.14/9.89 inference('simplify_reflect-', [status(thm)],
% 65.14/9.89 [zip_derived_cl45140, zip_derived_cl67])).
% 65.14/9.89 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 65.14/9.89 inference('cnf', [status(esa)], [less0])).
% 65.14/9.89 thf(zip_derived_cl45156, plain, ($false),
% 65.14/9.89 inference('demod', [status(thm)],
% 65.14/9.89 [zip_derived_cl157, zip_derived_cl45142, zip_derived_cl87])).
% 65.14/9.89
% 65.14/9.89 % SZS output end Refutation
% 65.14/9.89
% 65.14/9.89
% 65.14/9.89 % Terminating...
% 65.14/9.95 % Runner terminated.
% 65.14/9.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------