%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CSR008+1 : TPTP v9.2.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q9eQsLWpEK true
% Computer : n009.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 40.87s 6.40s
% Output : Refutation 40.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CSR008+1 : TPTP v9.2.0. Bugfixed v3.1.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q9eQsLWpEK true
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 15:02:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.42/0.63 % Total configuration time : 435
% 0.42/0.63 % Estimated wc time : 1092
% 0.42/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 40.87/6.40 % Solved by fo/fo5.sh.
% 40.87/6.40 % done 6414 iterations in 5.622s
% 40.87/6.40 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 40.87/6.40 % SZS output start Refutation
% 40.87/6.40 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 40.87/6.40 thf(waterLevel_type, type, waterLevel: $i > $i).
% 40.87/6.40 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 40.87/6.40 thf(n3_type, type, n3: $i).
% 40.87/6.40 thf(tapOn_type, type, tapOn: $i).
% 40.87/6.40 thf(spilling_type, type, spilling: $i).
% 40.87/6.40 thf(releases_type, type, releases: $i > $i > $i > $o).
% 40.87/6.40 thf(initiates_type, type, initiates: $i > $i > $i > $o).
% 40.87/6.40 thf(happens_type, type, happens: $i > $i > $o).
% 40.87/6.40 thf(n1_type, type, n1: $i).
% 40.87/6.40 thf(filling_type, type, filling: $i).
% 40.87/6.40 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 40.87/6.40 thf(sk__1_type, type, sk__1: $i > $i > $i > $i).
% 40.87/6.40 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 40.87/6.40 thf(sk__type, type, sk_: $i > $i > $i > $i).
% 40.87/6.40 thf(trajectory_type, type, trajectory: $i > $i > $i > $i > $o).
% 40.87/6.40 thf(sk__6_type, type, sk__6: $i > $i > $i).
% 40.87/6.40 thf(n2_type, type, n2: $i).
% 40.87/6.40 thf(overflow_type, type, overflow: $i).
% 40.87/6.40 thf(releasedAt_type, type, releasedAt: $i > $i > $o).
% 40.87/6.40 thf(less_type, type, less: $i > $i > $o).
% 40.87/6.40 thf(plus_type, type, plus: $i > $i > $i).
% 40.87/6.40 thf(stoppedIn_type, type, stoppedIn: $i > $i > $i > $o).
% 40.87/6.40 thf(holdsAt_type, type, holdsAt: $i > $i > $o).
% 40.87/6.40 thf(n0_type, type, n0: $i).
% 40.87/6.40 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $o).
% 40.87/6.40 thf(terminates_type, type, terminates: $i > $i > $i > $o).
% 40.87/6.40 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 40.87/6.40 thf(tapOff_type, type, tapOff: $i).
% 40.87/6.40 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 40.87/6.40 thf(less_or_equal, axiom,
% 40.87/6.40 (![X:$i,Y:$i]:
% 40.87/6.40 ( ( less_or_equal @ X @ Y ) <=> ( ( less @ X @ Y ) | ( ( X ) = ( Y ) ) ) ))).
% 40.87/6.40 thf(zip_derived_cl86, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ((X0) != (X1)))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_or_equal])).
% 40.87/6.40 thf(zip_derived_cl120, plain, (![X0 : $i]: (less_or_equal @ X0 @ X0)),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 40.87/6.40 thf(less2, axiom,
% 40.87/6.40 (![X:$i]: ( ( less @ X @ n2 ) <=> ( less_or_equal @ X @ n1 ) ))).
% 40.87/6.40 thf(zip_derived_cl91, plain,
% 40.87/6.40 (![X0 : $i]: ( (less @ X0 @ n2) | ~ (less_or_equal @ X0 @ n1))),
% 40.87/6.40 inference('cnf', [status(esa)], [less2])).
% 40.87/6.40 thf(zip_derived_cl121, plain, ( (less @ n1 @ n2)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl91])).
% 40.87/6.40 thf(initiates_all_defn, axiom,
% 40.87/6.40 (![Event:$i,Fluent:$i,Time:$i]:
% 40.87/6.40 ( ( initiates @ Event @ Fluent @ Time ) <=>
% 40.87/6.40 ( ( ?[Height:$i]:
% 40.87/6.40 ( ( holdsAt @ ( waterLevel @ Height ) @ Time ) &
% 40.87/6.40 ( ( Event ) = ( overflow ) ) &
% 40.87/6.40 ( ( Fluent ) = ( waterLevel @ Height ) ) ) ) |
% 40.87/6.40 ( ?[Height:$i]:
% 40.87/6.40 ( ( holdsAt @ ( waterLevel @ Height ) @ Time ) &
% 40.87/6.40 ( ( Event ) = ( tapOff ) ) &
% 40.87/6.40 ( ( Fluent ) = ( waterLevel @ Height ) ) ) ) |
% 40.87/6.40 ( ( ( Fluent ) = ( spilling ) ) & ( ( Event ) = ( overflow ) ) ) |
% 40.87/6.40 ( ( ( Fluent ) = ( filling ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 40.87/6.40 thf(zf_stmt_0, axiom,
% 40.87/6.40 (![Fluent:$i,Event:$i]:
% 40.87/6.40 ( ( zip_tseitin_3 @ Fluent @ Event ) <=>
% 40.87/6.40 ( ( ( Event ) = ( tapOn ) ) & ( ( Fluent ) = ( filling ) ) ) ))).
% 40.87/6.40 thf(zip_derived_cl38, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (zip_tseitin_3 @ X0 @ X1) | ((X0) != (filling)) | ((X1) != (tapOn)))),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_0])).
% 40.87/6.40 thf(zip_derived_cl156, plain,
% 40.87/6.40 (![X0 : $i]: (((X0) != (tapOn)) | (zip_tseitin_3 @ filling @ X0))),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl38])).
% 40.87/6.40 thf(zip_derived_cl326, plain, ( (zip_tseitin_3 @ filling @ tapOn)),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl156])).
% 40.87/6.40 thf(zf_stmt_1, type, zip_tseitin_3 : $i > $i > $o).
% 40.87/6.40 thf(zf_stmt_2, type, zip_tseitin_2 : $i > $i > $o).
% 40.87/6.40 thf(zf_stmt_3, axiom,
% 40.87/6.40 (![Fluent:$i,Event:$i]:
% 40.87/6.40 ( ( zip_tseitin_2 @ Fluent @ Event ) <=>
% 40.87/6.40 ( ( ( Event ) = ( overflow ) ) & ( ( Fluent ) = ( spilling ) ) ) ))).
% 40.87/6.40 thf(zf_stmt_4, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 40.87/6.40 thf(zf_stmt_5, axiom,
% 40.87/6.40 (![Height:$i,Time:$i,Fluent:$i,Event:$i]:
% 40.87/6.40 ( ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event ) <=>
% 40.87/6.40 ( ( ( Fluent ) = ( waterLevel @ Height ) ) &
% 40.87/6.40 ( ( Event ) = ( tapOff ) ) &
% 40.87/6.40 ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ))).
% 40.87/6.40 thf(zf_stmt_6, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 40.87/6.40 thf(zf_stmt_7, axiom,
% 40.87/6.40 (![Height:$i,Time:$i,Fluent:$i,Event:$i]:
% 40.87/6.40 ( ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) <=>
% 40.87/6.40 ( ( ( Fluent ) = ( waterLevel @ Height ) ) &
% 40.87/6.40 ( ( Event ) = ( overflow ) ) &
% 40.87/6.40 ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ))).
% 40.87/6.40 thf(zf_stmt_8, axiom,
% 40.87/6.40 (![Event:$i,Fluent:$i,Time:$i]:
% 40.87/6.40 ( ( initiates @ Event @ Fluent @ Time ) <=>
% 40.87/6.40 ( ( zip_tseitin_3 @ Fluent @ Event ) |
% 40.87/6.40 ( zip_tseitin_2 @ Fluent @ Event ) |
% 40.87/6.40 ( ?[Height:$i]: ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event ) ) |
% 40.87/6.40 ( ?[Height:$i]: ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) ) ) ))).
% 40.87/6.40 thf(zip_derived_cl40, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.87/6.40 ( (initiates @ X0 @ X1 @ X2) | ~ (zip_tseitin_3 @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_8])).
% 40.87/6.40 thf(zip_derived_cl382, plain,
% 40.87/6.40 (![X0 : $i]: (initiates @ tapOn @ filling @ X0)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl326, zip_derived_cl40])).
% 40.87/6.40 thf(plus0_2, axiom, (( plus @ n0 @ n2 ) = ( n2 ))).
% 40.87/6.40 thf(zip_derived_cl75, plain, (((plus @ n0 @ n2) = (n2))),
% 40.87/6.40 inference('cnf', [status(esa)], [plus0_2])).
% 40.87/6.40 thf(waterLevel_0, axiom, (holdsAt @ ( waterLevel @ n0 ) @ n0)).
% 40.87/6.40 thf(zip_derived_cl109, plain, ( (holdsAt @ (waterLevel @ n0) @ n0)),
% 40.87/6.40 inference('cnf', [status(esa)], [waterLevel_0])).
% 40.87/6.40 thf(change_of_waterLevel, axiom,
% 40.87/6.40 (![Height1:$i,Time:$i,Height2:$i,Offset:$i]:
% 40.87/6.40 ( ( ( holdsAt @ ( waterLevel @ Height1 ) @ Time ) &
% 40.87/6.40 ( ( Height2 ) = ( plus @ Height1 @ Offset ) ) ) =>
% 40.87/6.40 ( trajectory @ filling @ Time @ ( waterLevel @ Height2 ) @ Offset ) ))).
% 40.87/6.40 thf(zip_derived_cl63, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.87/6.40 (~ (holdsAt @ (waterLevel @ X0) @ X1)
% 40.87/6.40 | ((X3) != (plus @ X0 @ X2))
% 40.87/6.40 | (trajectory @ filling @ X1 @ (waterLevel @ X3) @ X2))),
% 40.87/6.40 inference('cnf', [status(esa)], [change_of_waterLevel])).
% 40.87/6.40 thf(zip_derived_cl328, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (trajectory @ filling @ n0 @ (waterLevel @ X1) @ X0)
% 40.87/6.40 | ((X1) != (plus @ n0 @ X0)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl63])).
% 40.87/6.40 thf(zip_derived_cl1635, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 (((X0) != (n2))
% 40.87/6.40 | (trajectory @ filling @ n0 @ (waterLevel @ X0) @ n2))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl328])).
% 40.87/6.40 thf(zip_derived_cl1637, plain,
% 40.87/6.40 ( (trajectory @ filling @ n0 @ (waterLevel @ n2) @ n2)),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl1635])).
% 40.87/6.40 thf(zip_derived_cl120, plain, (![X0 : $i]: (less_or_equal @ X0 @ X0)),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 40.87/6.40 thf(less1, axiom,
% 40.87/6.40 (![X:$i]: ( ( less @ X @ n1 ) <=> ( less_or_equal @ X @ n0 ) ))).
% 40.87/6.40 thf(zip_derived_cl89, plain,
% 40.87/6.40 (![X0 : $i]: ( (less @ X0 @ n1) | ~ (less_or_equal @ X0 @ n0))),
% 40.87/6.40 inference('cnf', [status(esa)], [less1])).
% 40.87/6.40 thf(zip_derived_cl128, plain, ( (less @ n0 @ n1)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl89])).
% 40.87/6.40 thf(zip_derived_cl85, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ~ (less @ X0 @ X1))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_or_equal])).
% 40.87/6.40 thf(zip_derived_cl145, plain, ( (less_or_equal @ n0 @ n1)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl85])).
% 40.87/6.40 thf(zip_derived_cl91, plain,
% 40.87/6.40 (![X0 : $i]: ( (less @ X0 @ n2) | ~ (less_or_equal @ X0 @ n1))),
% 40.87/6.40 inference('cnf', [status(esa)], [less2])).
% 40.87/6.40 thf(zip_derived_cl158, plain, ( (less @ n0 @ n2)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl91])).
% 40.87/6.40 thf(change_holding, axiom,
% 40.87/6.40 (![Event:$i,Time:$i,Fluent:$i,Fluent2:$i,Offset:$i]:
% 40.87/6.40 ( ( ( happens @ Event @ Time ) & ( initiates @ Event @ Fluent @ Time ) &
% 40.87/6.40 ( less @ n0 @ Offset ) &
% 40.87/6.40 ( trajectory @ Fluent @ Time @ Fluent2 @ Offset ) &
% 40.87/6.40 ( ~( stoppedIn @ Time @ Fluent @ ( plus @ Time @ Offset ) ) ) ) =>
% 40.87/6.40 ( holdsAt @ Fluent2 @ ( plus @ Time @ Offset ) ) ))).
% 40.87/6.40 thf(zip_derived_cl10, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 40.87/6.40 (~ (initiates @ X0 @ X1 @ X2)
% 40.87/6.40 | ~ (happens @ X0 @ X2)
% 40.87/6.40 | ~ (less @ n0 @ X3)
% 40.87/6.40 | ~ (trajectory @ X1 @ X2 @ X4 @ X3)
% 40.87/6.40 | (stoppedIn @ X2 @ X1 @ (plus @ X2 @ X3))
% 40.87/6.40 | (holdsAt @ X4 @ (plus @ X2 @ X3)))),
% 40.87/6.40 inference('cnf', [status(esa)], [change_holding])).
% 40.87/6.40 thf(zip_derived_cl321, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.87/6.40 ( (holdsAt @ X1 @ (plus @ X0 @ n2))
% 40.87/6.40 | (stoppedIn @ X0 @ X2 @ (plus @ X0 @ n2))
% 40.87/6.40 | ~ (trajectory @ X2 @ X0 @ X1 @ n2)
% 40.87/6.40 | ~ (happens @ X3 @ X0)
% 40.87/6.40 | ~ (initiates @ X3 @ X2 @ X0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl10])).
% 40.87/6.40 thf(zip_derived_cl1639, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 (~ (initiates @ X0 @ filling @ n0)
% 40.87/6.40 | ~ (happens @ X0 @ n0)
% 40.87/6.40 | (stoppedIn @ n0 @ filling @ (plus @ n0 @ n2))
% 40.87/6.40 | (holdsAt @ (waterLevel @ n2) @ (plus @ n0 @ n2)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1637, zip_derived_cl321])).
% 40.87/6.40 thf(zip_derived_cl75, plain, (((plus @ n0 @ n2) = (n2))),
% 40.87/6.40 inference('cnf', [status(esa)], [plus0_2])).
% 40.87/6.40 thf(zip_derived_cl75, plain, (((plus @ n0 @ n2) = (n2))),
% 40.87/6.40 inference('cnf', [status(esa)], [plus0_2])).
% 40.87/6.40 thf(waterLevel_2, conjecture, (holdsAt @ ( waterLevel @ n2 ) @ n2)).
% 40.87/6.40 thf(zf_stmt_9, negated_conjecture, (~( holdsAt @ ( waterLevel @ n2 ) @ n2 )),
% 40.87/6.40 inference('cnf.neg', [status(esa)], [waterLevel_2])).
% 40.87/6.40 thf(zip_derived_cl115, plain, (~ (holdsAt @ (waterLevel @ n2) @ n2)),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 40.87/6.40 thf(zip_derived_cl1641, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 (~ (initiates @ X0 @ filling @ n0)
% 40.87/6.40 | ~ (happens @ X0 @ n0)
% 40.87/6.40 | (stoppedIn @ n0 @ filling @ n2))),
% 40.87/6.40 inference('demod', [status(thm)],
% 40.87/6.40 [zip_derived_cl1639, zip_derived_cl75, zip_derived_cl75,
% 40.87/6.40 zip_derived_cl115])).
% 40.87/6.40 thf(zip_derived_cl1642, plain,
% 40.87/6.40 (( (stoppedIn @ n0 @ filling @ n2) | ~ (happens @ tapOn @ n0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl382, zip_derived_cl1641])).
% 40.87/6.40 thf(happens_all_defn, axiom,
% 40.87/6.40 (![Event:$i,Time:$i]:
% 40.87/6.40 ( ( happens @ Event @ Time ) <=>
% 40.87/6.40 ( ( ( ( Event ) = ( overflow ) ) & ( holdsAt @ filling @ Time ) &
% 40.87/6.40 ( holdsAt @ ( waterLevel @ n3 ) @ Time ) ) |
% 40.87/6.40 ( ( ( Time ) = ( n0 ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 40.87/6.40 thf(zf_stmt_10, axiom,
% 40.87/6.40 (![Time:$i,Event:$i]:
% 40.87/6.40 ( ( zip_tseitin_5 @ Time @ Event ) <=>
% 40.87/6.40 ( ( ( Event ) = ( tapOn ) ) & ( ( Time ) = ( n0 ) ) ) ))).
% 40.87/6.40 thf(zip_derived_cl59, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (zip_tseitin_5 @ X0 @ X1) | ((X0) != (n0)) | ((X1) != (tapOn)))),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_10])).
% 40.87/6.40 thf(zip_derived_cl157, plain,
% 40.87/6.40 (![X0 : $i]: (((X0) != (tapOn)) | (zip_tseitin_5 @ n0 @ X0))),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl59])).
% 40.87/6.40 thf(zip_derived_cl327, plain, ( (zip_tseitin_5 @ n0 @ tapOn)),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl157])).
% 40.87/6.40 thf(zf_stmt_11, type, zip_tseitin_5 : $i > $i > $o).
% 40.87/6.40 thf(zf_stmt_12, type, zip_tseitin_4 : $i > $i > $o).
% 40.87/6.40 thf(zf_stmt_13, axiom,
% 40.87/6.40 (![Time:$i,Event:$i]:
% 40.87/6.40 ( ( zip_tseitin_4 @ Time @ Event ) <=>
% 40.87/6.40 ( ( holdsAt @ ( waterLevel @ n3 ) @ Time ) &
% 40.87/6.40 ( holdsAt @ filling @ Time ) & ( ( Event ) = ( overflow ) ) ) ))).
% 40.87/6.40 thf(zf_stmt_14, axiom,
% 40.87/6.40 (![Event:$i,Time:$i]:
% 40.87/6.40 ( ( happens @ Event @ Time ) <=>
% 40.87/6.40 ( ( zip_tseitin_5 @ Time @ Event ) | ( zip_tseitin_4 @ Time @ Event ) ) ))).
% 40.87/6.40 thf(zip_derived_cl61, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (happens @ X0 @ X1) | ~ (zip_tseitin_5 @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_14])).
% 40.87/6.40 thf(zip_derived_cl385, plain, ( (happens @ tapOn @ n0)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl327, zip_derived_cl61])).
% 40.87/6.40 thf(zip_derived_cl1643, plain, ( (stoppedIn @ n0 @ filling @ n2)),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl1642, zip_derived_cl385])).
% 40.87/6.40 thf(stoppedin_defn, axiom,
% 40.87/6.40 (![Time1:$i,Fluent:$i,Time2:$i]:
% 40.87/6.40 ( ( stoppedIn @ Time1 @ Fluent @ Time2 ) <=>
% 40.87/6.40 ( ?[Event:$i,Time:$i]:
% 40.87/6.40 ( ( terminates @ Event @ Fluent @ Time ) & ( less @ Time @ Time2 ) &
% 40.87/6.40 ( less @ Time1 @ Time ) & ( happens @ Event @ Time ) ) ) ))).
% 40.87/6.40 thf(zip_derived_cl1, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.87/6.40 ( (less @ (sk__1 @ X0 @ X1 @ X2) @ X0) | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [stoppedin_defn])).
% 40.87/6.40 thf(zip_derived_cl1645, plain, ( (less @ (sk__1 @ n2 @ filling @ n0) @ n2)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1643, zip_derived_cl1])).
% 40.87/6.40 thf(less_property, axiom,
% 40.87/6.40 (![X:$i,Y:$i]:
% 40.87/6.40 ( ( less @ X @ Y ) <=> ( ( ~( less @ Y @ X ) ) & ( ( Y ) != ( X ) ) ) ))).
% 40.87/6.40 thf(zip_derived_cl108, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_property])).
% 40.87/6.40 thf(zip_derived_cl85, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ~ (less @ X0 @ X1))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_or_equal])).
% 40.87/6.40 thf(zip_derived_cl265, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (less @ X0 @ X1) | ((X0) = (X1)) | (less_or_equal @ X1 @ X0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl85])).
% 40.87/6.40 thf(zip_derived_cl86, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ((X0) != (X1)))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_or_equal])).
% 40.87/6.40 thf(zip_derived_cl696, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X1 @ X0) | (less @ X0 @ X1))),
% 40.87/6.40 inference('clc', [status(thm)], [zip_derived_cl265, zip_derived_cl86])).
% 40.87/6.40 thf(zip_derived_cl90, plain,
% 40.87/6.40 (![X0 : $i]: ( (less_or_equal @ X0 @ n1) | ~ (less @ X0 @ n2))),
% 40.87/6.40 inference('cnf', [status(esa)], [less2])).
% 40.87/6.40 thf(zip_derived_cl703, plain,
% 40.87/6.40 (![X0 : $i]: ( (less_or_equal @ n2 @ X0) | (less_or_equal @ X0 @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl696, zip_derived_cl90])).
% 40.87/6.40 thf(zip_derived_cl84, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_or_equal])).
% 40.87/6.40 thf(zip_derived_cl817, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (less_or_equal @ n2 @ X0) | (less @ X0 @ n1) | ((X0) = (n1)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl703, zip_derived_cl84])).
% 40.87/6.40 thf(zip_derived_cl88, plain,
% 40.87/6.40 (![X0 : $i]: ( (less_or_equal @ X0 @ n0) | ~ (less @ X0 @ n1))),
% 40.87/6.40 inference('cnf', [status(esa)], [less1])).
% 40.87/6.40 thf(zip_derived_cl1070, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 (((X0) = (n1))
% 40.87/6.40 | (less_or_equal @ n2 @ X0)
% 40.87/6.40 | (less_or_equal @ X0 @ n0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl817, zip_derived_cl88])).
% 40.87/6.40 thf(zip_derived_cl84, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_or_equal])).
% 40.87/6.40 thf(zip_derived_cl1794, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (less_or_equal @ n2 @ X0)
% 40.87/6.40 | ((X0) = (n1))
% 40.87/6.40 | (less @ X0 @ n0)
% 40.87/6.40 | ((X0) = (n0)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1070, zip_derived_cl84])).
% 40.87/6.40 thf(less0, axiom, (~( ?[X:$i]: ( less @ X @ n0 ) ))).
% 40.87/6.40 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 40.87/6.40 inference('cnf', [status(esa)], [less0])).
% 40.87/6.40 thf(zip_derived_cl3131, plain,
% 40.87/6.40 (![X0 : $i]: (((X0) = (n0)) | ((X0) = (n1)) | (less_or_equal @ n2 @ X0))),
% 40.87/6.40 inference('clc', [status(thm)], [zip_derived_cl1794, zip_derived_cl87])).
% 40.87/6.40 thf(zip_derived_cl84, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_or_equal])).
% 40.87/6.40 thf(zip_derived_cl3132, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 (((X0) = (n1)) | ((X0) = (n0)) | (less @ n2 @ X0) | ((n2) = (X0)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl3131, zip_derived_cl84])).
% 40.87/6.40 thf(zip_derived_cl106, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_property])).
% 40.87/6.40 thf(zip_derived_cl3145, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 (((n2) = (X0)) | ((X0) = (n0)) | ((X0) = (n1)) | ~ (less @ X0 @ n2))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl3132, zip_derived_cl106])).
% 40.87/6.40 thf(zip_derived_cl107, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_property])).
% 40.87/6.40 thf(zip_derived_cl3173, plain,
% 40.87/6.40 (![X0 : $i]: (~ (less @ X0 @ n2) | ((X0) = (n1)) | ((X0) = (n0)))),
% 40.87/6.40 inference('clc', [status(thm)], [zip_derived_cl3145, zip_derived_cl107])).
% 40.87/6.40 thf(zip_derived_cl3193, plain,
% 40.87/6.40 ((((sk__1 @ n2 @ filling @ n0) = (n0))
% 40.87/6.40 | ((sk__1 @ n2 @ filling @ n0) = (n1)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1645, zip_derived_cl3173])).
% 40.87/6.40 thf(zip_derived_cl1643, plain, ( (stoppedIn @ n0 @ filling @ n2)),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl1642, zip_derived_cl385])).
% 40.87/6.40 thf(zip_derived_cl0, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.87/6.40 ( (terminates @ (sk_ @ X0 @ X1 @ X2) @ X1 @ (sk__1 @ X0 @ X1 @ X2))
% 40.87/6.40 | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [stoppedin_defn])).
% 40.87/6.40 thf(zip_derived_cl1644, plain,
% 40.87/6.40 ( (terminates @ (sk_ @ n2 @ filling @ n0) @ filling @
% 40.87/6.40 (sk__1 @ n2 @ filling @ n0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1643, zip_derived_cl0])).
% 40.87/6.40 thf(terminates_all_defn, axiom,
% 40.87/6.40 (![Event:$i,Fluent:$i,Time:$i]:
% 40.87/6.40 ( ( terminates @ Event @ Fluent @ Time ) <=>
% 40.87/6.40 ( ( ( ( Event ) = ( tapOff ) ) & ( ( Fluent ) = ( filling ) ) ) |
% 40.87/6.40 ( ( ( Event ) = ( overflow ) ) & ( ( Fluent ) = ( filling ) ) ) ) ))).
% 40.87/6.40 thf(zip_derived_cl45, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.87/6.40 (((X0) = (overflow))
% 40.87/6.40 | ((X0) = (tapOff))
% 40.87/6.40 | ~ (terminates @ X0 @ X1 @ X2))),
% 40.87/6.40 inference('cnf', [status(esa)], [terminates_all_defn])).
% 40.87/6.40 thf(zip_derived_cl2089, plain,
% 40.87/6.40 ((((sk_ @ n2 @ filling @ n0) = (tapOff))
% 40.87/6.40 | ((sk_ @ n2 @ filling @ n0) = (overflow)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1644, zip_derived_cl45])).
% 40.87/6.40 thf(zip_derived_cl1643, plain, ( (stoppedIn @ n0 @ filling @ n2)),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl1642, zip_derived_cl385])).
% 40.87/6.40 thf(zip_derived_cl3, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.87/6.40 ( (happens @ (sk_ @ X0 @ X1 @ X2) @ (sk__1 @ X0 @ X1 @ X2))
% 40.87/6.40 | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [stoppedin_defn])).
% 40.87/6.40 thf(zip_derived_cl1646, plain,
% 40.87/6.40 ( (happens @ (sk_ @ n2 @ filling @ n0) @ (sk__1 @ n2 @ filling @ n0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1643, zip_derived_cl3])).
% 40.87/6.40 thf(zip_derived_cl2093, plain,
% 40.87/6.40 (( (happens @ overflow @ (sk__1 @ n2 @ filling @ n0))
% 40.87/6.40 | ((sk_ @ n2 @ filling @ n0) = (tapOff)))),
% 40.87/6.40 inference('sup+', [status(thm)], [zip_derived_cl2089, zip_derived_cl1646])).
% 40.87/6.40 thf(zip_derived_cl3368, plain,
% 40.87/6.40 (( (happens @ overflow @ n1)
% 40.87/6.40 | ((sk__1 @ n2 @ filling @ n0) = (n0))
% 40.87/6.40 | ((sk_ @ n2 @ filling @ n0) = (tapOff)))),
% 40.87/6.40 inference('sup+', [status(thm)], [zip_derived_cl3193, zip_derived_cl2093])).
% 40.87/6.40 thf(zip_derived_cl1643, plain, ( (stoppedIn @ n0 @ filling @ n2)),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl1642, zip_derived_cl385])).
% 40.87/6.40 thf(zip_derived_cl2, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.87/6.40 ( (less @ X0 @ (sk__1 @ X1 @ X2 @ X0)) | ~ (stoppedIn @ X0 @ X2 @ X1))),
% 40.87/6.40 inference('cnf', [status(esa)], [stoppedin_defn])).
% 40.87/6.40 thf(zip_derived_cl1647, plain, ( (less @ n0 @ (sk__1 @ n2 @ filling @ n0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1643, zip_derived_cl2])).
% 40.87/6.40 thf(zip_derived_cl6339, plain,
% 40.87/6.40 (( (less @ n0 @ n0)
% 40.87/6.40 | ((sk_ @ n2 @ filling @ n0) = (tapOff))
% 40.87/6.40 | (happens @ overflow @ n1))),
% 40.87/6.40 inference('sup+', [status(thm)], [zip_derived_cl3368, zip_derived_cl1647])).
% 40.87/6.40 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 40.87/6.40 inference('cnf', [status(esa)], [less0])).
% 40.87/6.40 thf(zip_derived_cl6392, plain,
% 40.87/6.40 ((((sk_ @ n2 @ filling @ n0) = (tapOff)) | (happens @ overflow @ n1))),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl6339, zip_derived_cl87])).
% 40.87/6.40 thf(zip_derived_cl3193, plain,
% 40.87/6.40 ((((sk__1 @ n2 @ filling @ n0) = (n0))
% 40.87/6.40 | ((sk__1 @ n2 @ filling @ n0) = (n1)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1645, zip_derived_cl3173])).
% 40.87/6.40 thf(zip_derived_cl1646, plain,
% 40.87/6.40 ( (happens @ (sk_ @ n2 @ filling @ n0) @ (sk__1 @ n2 @ filling @ n0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1643, zip_derived_cl3])).
% 40.87/6.40 thf(zip_derived_cl3338, plain,
% 40.87/6.40 (( (happens @ (sk_ @ n2 @ filling @ n0) @ n1)
% 40.87/6.40 | ((sk__1 @ n2 @ filling @ n0) = (n0)))),
% 40.87/6.40 inference('sup+', [status(thm)], [zip_derived_cl3193, zip_derived_cl1646])).
% 40.87/6.40 thf(zip_derived_cl6436, plain,
% 40.87/6.40 (( (happens @ tapOff @ n1)
% 40.87/6.40 | (happens @ overflow @ n1)
% 40.87/6.40 | ((sk__1 @ n2 @ filling @ n0) = (n0)))),
% 40.87/6.40 inference('sup+', [status(thm)], [zip_derived_cl6392, zip_derived_cl3338])).
% 40.87/6.40 thf(zip_derived_cl1647, plain, ( (less @ n0 @ (sk__1 @ n2 @ filling @ n0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1643, zip_derived_cl2])).
% 40.87/6.40 thf(zip_derived_cl6458, plain,
% 40.87/6.40 (( (less @ n0 @ n0)
% 40.87/6.40 | (happens @ overflow @ n1)
% 40.87/6.40 | (happens @ tapOff @ n1))),
% 40.87/6.40 inference('sup+', [status(thm)], [zip_derived_cl6436, zip_derived_cl1647])).
% 40.87/6.40 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 40.87/6.40 inference('cnf', [status(esa)], [less0])).
% 40.87/6.40 thf(zip_derived_cl6510, plain,
% 40.87/6.40 (( (happens @ overflow @ n1) | (happens @ tapOff @ n1))),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl6458, zip_derived_cl87])).
% 40.87/6.40 thf(zip_derived_cl382, plain,
% 40.87/6.40 (![X0 : $i]: (initiates @ tapOn @ filling @ X0)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl326, zip_derived_cl40])).
% 40.87/6.40 thf(plus0_1, axiom, (( plus @ n0 @ n1 ) = ( n1 ))).
% 40.87/6.40 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 40.87/6.40 inference('cnf', [status(esa)], [plus0_1])).
% 40.87/6.40 thf(zip_derived_cl328, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (trajectory @ filling @ n0 @ (waterLevel @ X1) @ X0)
% 40.87/6.40 | ((X1) != (plus @ n0 @ X0)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl63])).
% 40.87/6.40 thf(zip_derived_cl1633, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 (((X0) != (n1))
% 40.87/6.40 | (trajectory @ filling @ n0 @ (waterLevel @ X0) @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl328])).
% 40.87/6.40 thf(zip_derived_cl1663, plain,
% 40.87/6.40 ( (trajectory @ filling @ n0 @ (waterLevel @ n1) @ n1)),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl1633])).
% 40.87/6.40 thf(zip_derived_cl128, plain, ( (less @ n0 @ n1)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl89])).
% 40.87/6.40 thf(zip_derived_cl10, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 40.87/6.40 (~ (initiates @ X0 @ X1 @ X2)
% 40.87/6.40 | ~ (happens @ X0 @ X2)
% 40.87/6.40 | ~ (less @ n0 @ X3)
% 40.87/6.40 | ~ (trajectory @ X1 @ X2 @ X4 @ X3)
% 40.87/6.40 | (stoppedIn @ X2 @ X1 @ (plus @ X2 @ X3))
% 40.87/6.40 | (holdsAt @ X4 @ (plus @ X2 @ X3)))),
% 40.87/6.40 inference('cnf', [status(esa)], [change_holding])).
% 40.87/6.40 thf(zip_derived_cl319, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.87/6.40 ( (holdsAt @ X1 @ (plus @ X0 @ n1))
% 40.87/6.40 | (stoppedIn @ X0 @ X2 @ (plus @ X0 @ n1))
% 40.87/6.40 | ~ (trajectory @ X2 @ X0 @ X1 @ n1)
% 40.87/6.40 | ~ (happens @ X3 @ X0)
% 40.87/6.40 | ~ (initiates @ X3 @ X2 @ X0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl10])).
% 40.87/6.40 thf(zip_derived_cl1819, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 (~ (initiates @ X0 @ filling @ n0)
% 40.87/6.40 | ~ (happens @ X0 @ n0)
% 40.87/6.40 | (stoppedIn @ n0 @ filling @ (plus @ n0 @ n1))
% 40.87/6.40 | (holdsAt @ (waterLevel @ n1) @ (plus @ n0 @ n1)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1663, zip_derived_cl319])).
% 40.87/6.40 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 40.87/6.40 inference('cnf', [status(esa)], [plus0_1])).
% 40.87/6.40 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 40.87/6.40 inference('cnf', [status(esa)], [plus0_1])).
% 40.87/6.40 thf(zip_derived_cl1821, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 (~ (initiates @ X0 @ filling @ n0)
% 40.87/6.40 | ~ (happens @ X0 @ n0)
% 40.87/6.40 | (stoppedIn @ n0 @ filling @ n1)
% 40.87/6.40 | (holdsAt @ (waterLevel @ n1) @ n1))),
% 40.87/6.40 inference('demod', [status(thm)],
% 40.87/6.40 [zip_derived_cl1819, zip_derived_cl74, zip_derived_cl74])).
% 40.87/6.40 thf(zip_derived_cl4857, plain,
% 40.87/6.40 (( (holdsAt @ (waterLevel @ n1) @ n1)
% 40.87/6.40 | (stoppedIn @ n0 @ filling @ n1)
% 40.87/6.40 | ~ (happens @ tapOn @ n0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl382, zip_derived_cl1821])).
% 40.87/6.40 thf(zip_derived_cl385, plain, ( (happens @ tapOn @ n0)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl327, zip_derived_cl61])).
% 40.87/6.40 thf(zip_derived_cl4859, plain,
% 40.87/6.40 (( (holdsAt @ (waterLevel @ n1) @ n1) | (stoppedIn @ n0 @ filling @ n1))),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl4857, zip_derived_cl385])).
% 40.87/6.40 thf(zip_derived_cl28, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.87/6.40 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3)
% 40.87/6.40 | ~ (holdsAt @ (waterLevel @ X0) @ X1)
% 40.87/6.40 | ((X3) != (overflow))
% 40.87/6.40 | ((X2) != (waterLevel @ X0)))),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_7])).
% 40.87/6.40 thf(zip_derived_cl4865, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (stoppedIn @ n0 @ filling @ n1)
% 40.87/6.40 | ((X0) != (waterLevel @ n1))
% 40.87/6.40 | ((X1) != (overflow))
% 40.87/6.40 | (zip_tseitin_0 @ n1 @ n1 @ X0 @ X1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl4859, zip_derived_cl28])).
% 40.87/6.40 thf(zip_derived_cl4908, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (zip_tseitin_0 @ n1 @ n1 @ (waterLevel @ n1) @ X0)
% 40.87/6.40 | ((X0) != (overflow))
% 40.87/6.40 | (stoppedIn @ n0 @ filling @ n1))),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl4865])).
% 40.87/6.40 thf(zip_derived_cl4909, plain,
% 40.87/6.40 (( (stoppedIn @ n0 @ filling @ n1)
% 40.87/6.40 | (zip_tseitin_0 @ n1 @ n1 @ (waterLevel @ n1) @ overflow))),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl4908])).
% 40.87/6.40 thf(zip_derived_cl43, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.87/6.40 ( (initiates @ X0 @ X1 @ X2) | ~ (zip_tseitin_0 @ X3 @ X2 @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_8])).
% 40.87/6.40 thf(zip_derived_cl5106, plain,
% 40.87/6.40 (( (stoppedIn @ n0 @ filling @ n1)
% 40.87/6.40 | (initiates @ overflow @ (waterLevel @ n1) @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl4909, zip_derived_cl43])).
% 40.87/6.40 thf(zip_derived_cl385, plain, ( (happens @ tapOn @ n0)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl327, zip_derived_cl61])).
% 40.87/6.40 thf(releases_all_defn, axiom,
% 40.87/6.40 (![Event:$i,Fluent:$i,Time:$i]:
% 40.87/6.40 ( ( releases @ Event @ Fluent @ Time ) <=>
% 40.87/6.40 ( ?[Height:$i]:
% 40.87/6.40 ( ( ( Fluent ) = ( waterLevel @ Height ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 40.87/6.40 thf(zip_derived_cl52, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.87/6.40 ( (releases @ X0 @ X1 @ X2)
% 40.87/6.40 | ((X1) != (waterLevel @ X3))
% 40.87/6.40 | ((X0) != (tapOn)))),
% 40.87/6.40 inference('cnf', [status(esa)], [releases_all_defn])).
% 40.87/6.40 thf(zip_derived_cl195, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.87/6.40 (((X0) != (tapOn)) | (releases @ X0 @ (waterLevel @ X2) @ X1))),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl52])).
% 40.87/6.40 thf(zip_derived_cl550, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: (releases @ tapOn @ (waterLevel @ X1) @ X0)),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl195])).
% 40.87/6.40 thf(happens_releases, axiom,
% 40.87/6.40 (![Event:$i,Time:$i,Fluent:$i]:
% 40.87/6.40 ( ( ( happens @ Event @ Time ) & ( releases @ Event @ Fluent @ Time ) ) =>
% 40.87/6.40 ( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ))).
% 40.87/6.40 thf(zip_derived_cl22, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.87/6.40 (~ (happens @ X0 @ X1)
% 40.87/6.40 | ~ (releases @ X0 @ X2 @ X1)
% 40.87/6.40 | (releasedAt @ X2 @ (plus @ X1 @ n1)))),
% 40.87/6.40 inference('cnf', [status(esa)], [happens_releases])).
% 40.87/6.40 thf(zip_derived_cl612, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (releasedAt @ (waterLevel @ X1) @ (plus @ X0 @ n1))
% 40.87/6.40 | ~ (happens @ tapOn @ X0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl550, zip_derived_cl22])).
% 40.87/6.40 thf(zip_derived_cl904, plain,
% 40.87/6.40 (![X0 : $i]: (releasedAt @ (waterLevel @ X0) @ (plus @ n0 @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl385, zip_derived_cl612])).
% 40.87/6.40 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 40.87/6.40 inference('cnf', [status(esa)], [plus0_1])).
% 40.87/6.40 thf(zip_derived_cl905, plain,
% 40.87/6.40 (![X0 : $i]: (releasedAt @ (waterLevel @ X0) @ n1)),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl904, zip_derived_cl74])).
% 40.87/6.40 thf(keep_released, axiom,
% 40.87/6.40 (![Fluent:$i,Time:$i]:
% 40.87/6.40 ( ( ( releasedAt @ Fluent @ Time ) &
% 40.87/6.40 ( ~( ?[Event:$i]:
% 40.87/6.40 ( ( ( terminates @ Event @ Fluent @ Time ) |
% 40.87/6.40 ( initiates @ Event @ Fluent @ Time ) ) &
% 40.87/6.40 ( happens @ Event @ Time ) ) ) ) ) =>
% 40.87/6.40 ( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ))).
% 40.87/6.40 thf(zip_derived_cl16, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (releasedAt @ X0 @ (plus @ X1 @ n1))
% 40.87/6.40 | (happens @ (sk__6 @ X1 @ X0) @ X1)
% 40.87/6.40 | ~ (releasedAt @ X0 @ X1))),
% 40.87/6.40 inference('cnf', [status(esa)], [keep_released])).
% 40.87/6.40 thf(zip_derived_cl906, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (happens @ (sk__6 @ n1 @ (waterLevel @ X0)) @ n1)
% 40.87/6.40 | (releasedAt @ (waterLevel @ X0) @ (plus @ n1 @ n1)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl905, zip_derived_cl16])).
% 40.87/6.40 thf(plus1_1, axiom, (( plus @ n1 @ n1 ) = ( n2 ))).
% 40.87/6.40 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 40.87/6.40 inference('cnf', [status(esa)], [plus1_1])).
% 40.87/6.40 thf(zip_derived_cl910, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (happens @ (sk__6 @ n1 @ (waterLevel @ X0)) @ n1)
% 40.87/6.40 | (releasedAt @ (waterLevel @ X0) @ n2))),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl906, zip_derived_cl77])).
% 40.87/6.40 thf(zip_derived_cl60, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (zip_tseitin_4 @ X0 @ X1)
% 40.87/6.40 | (zip_tseitin_5 @ X0 @ X1)
% 40.87/6.40 | ~ (happens @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_14])).
% 40.87/6.40 thf(zip_derived_cl3864, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (releasedAt @ (waterLevel @ X0) @ n2)
% 40.87/6.40 | (zip_tseitin_5 @ n1 @ (sk__6 @ n1 @ (waterLevel @ X0)))
% 40.87/6.40 | (zip_tseitin_4 @ n1 @ (sk__6 @ n1 @ (waterLevel @ X0))))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl910, zip_derived_cl60])).
% 40.87/6.40 thf(zip_derived_cl53, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (holdsAt @ (waterLevel @ n3) @ X0) | ~ (zip_tseitin_4 @ X0 @ X1))),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_13])).
% 40.87/6.40 thf(zip_derived_cl35448, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (zip_tseitin_5 @ n1 @ (sk__6 @ n1 @ (waterLevel @ X0)))
% 40.87/6.40 | (releasedAt @ (waterLevel @ X0) @ n2)
% 40.87/6.40 | (holdsAt @ (waterLevel @ n3) @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl3864, zip_derived_cl53])).
% 40.87/6.40 thf(zip_derived_cl57, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: (((X0) = (tapOn)) | ~ (zip_tseitin_5 @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_10])).
% 40.87/6.40 thf(zip_derived_cl35462, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (holdsAt @ (waterLevel @ n3) @ n1)
% 40.87/6.40 | (releasedAt @ (waterLevel @ X0) @ n2)
% 40.87/6.40 | ((sk__6 @ n1 @ (waterLevel @ X0)) = (tapOn)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl35448, zip_derived_cl57])).
% 40.87/6.40 thf(zip_derived_cl910, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (happens @ (sk__6 @ n1 @ (waterLevel @ X0)) @ n1)
% 40.87/6.40 | (releasedAt @ (waterLevel @ X0) @ n2))),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl906, zip_derived_cl77])).
% 40.87/6.40 thf(zip_derived_cl36367, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (happens @ tapOn @ n1)
% 40.87/6.40 | (releasedAt @ (waterLevel @ X0) @ n2)
% 40.87/6.40 | (holdsAt @ (waterLevel @ n3) @ n1)
% 40.87/6.40 | (releasedAt @ (waterLevel @ X0) @ n2))),
% 40.87/6.40 inference('sup+', [status(thm)], [zip_derived_cl35462, zip_derived_cl910])).
% 40.87/6.40 thf(zip_derived_cl36385, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (holdsAt @ (waterLevel @ n3) @ n1)
% 40.87/6.40 | (releasedAt @ (waterLevel @ X0) @ n2)
% 40.87/6.40 | (happens @ tapOn @ n1))),
% 40.87/6.40 inference('simplify', [status(thm)], [zip_derived_cl36367])).
% 40.87/6.40 thf(zip_derived_cl56, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (zip_tseitin_4 @ X0 @ X1)
% 40.87/6.40 | ((X1) != (overflow))
% 40.87/6.40 | ~ (holdsAt @ filling @ X0)
% 40.87/6.40 | ~ (holdsAt @ (waterLevel @ n3) @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_13])).
% 40.87/6.40 thf(zip_derived_cl36407, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (happens @ tapOn @ n1)
% 40.87/6.40 | (releasedAt @ (waterLevel @ X1) @ n2)
% 40.87/6.40 | ~ (holdsAt @ filling @ n1)
% 40.87/6.40 | ((X0) != (overflow))
% 40.87/6.40 | (zip_tseitin_4 @ n1 @ X0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl36385, zip_derived_cl56])).
% 40.87/6.40 thf(zip_derived_cl385, plain, ( (happens @ tapOn @ n0)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl327, zip_derived_cl61])).
% 40.87/6.40 thf(zip_derived_cl382, plain,
% 40.87/6.40 (![X0 : $i]: (initiates @ tapOn @ filling @ X0)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl326, zip_derived_cl40])).
% 40.87/6.40 thf(happens_holds, axiom,
% 40.87/6.40 (![Event:$i,Time:$i,Fluent:$i]:
% 40.87/6.40 ( ( ( happens @ Event @ Time ) & ( initiates @ Event @ Fluent @ Time ) ) =>
% 40.87/6.40 ( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ))).
% 40.87/6.40 thf(zip_derived_cl20, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.87/6.40 (~ (happens @ X0 @ X1)
% 40.87/6.40 | ~ (initiates @ X0 @ X2 @ X1)
% 40.87/6.40 | (holdsAt @ X2 @ (plus @ X1 @ n1)))),
% 40.87/6.40 inference('cnf', [status(esa)], [happens_holds])).
% 40.87/6.40 thf(zip_derived_cl557, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (holdsAt @ filling @ (plus @ X0 @ n1)) | ~ (happens @ tapOn @ X0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl382, zip_derived_cl20])).
% 40.87/6.40 thf(zip_derived_cl677, plain, ( (holdsAt @ filling @ (plus @ n0 @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl385, zip_derived_cl557])).
% 40.87/6.40 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 40.87/6.40 inference('cnf', [status(esa)], [plus0_1])).
% 40.87/6.40 thf(zip_derived_cl678, plain, ( (holdsAt @ filling @ n1)),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl677, zip_derived_cl74])).
% 40.87/6.40 thf(zip_derived_cl36431, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (happens @ tapOn @ n1)
% 40.87/6.40 | (releasedAt @ (waterLevel @ X1) @ n2)
% 40.87/6.40 | ((X0) != (overflow))
% 40.87/6.40 | (zip_tseitin_4 @ n1 @ X0))),
% 40.87/6.40 inference('demod', [status(thm)],
% 40.87/6.40 [zip_derived_cl36407, zip_derived_cl678])).
% 40.87/6.40 thf(zip_derived_cl36446, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (zip_tseitin_4 @ n1 @ overflow)
% 40.87/6.40 | (releasedAt @ (waterLevel @ X0) @ n2)
% 40.87/6.40 | (happens @ tapOn @ n1))),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl36431])).
% 40.87/6.40 thf(zip_derived_cl612, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (releasedAt @ (waterLevel @ X1) @ (plus @ X0 @ n1))
% 40.87/6.40 | ~ (happens @ tapOn @ X0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl550, zip_derived_cl22])).
% 40.87/6.40 thf(zip_derived_cl36796, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (releasedAt @ (waterLevel @ X1) @ n2)
% 40.87/6.40 | (zip_tseitin_4 @ n1 @ overflow)
% 40.87/6.40 | (releasedAt @ (waterLevel @ X0) @ (plus @ n1 @ n1)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl36446, zip_derived_cl612])).
% 40.87/6.40 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 40.87/6.40 inference('cnf', [status(esa)], [plus1_1])).
% 40.87/6.40 thf(zip_derived_cl36806, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (releasedAt @ (waterLevel @ X1) @ n2)
% 40.87/6.40 | (zip_tseitin_4 @ n1 @ overflow)
% 40.87/6.40 | (releasedAt @ (waterLevel @ X0) @ n2))),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl36796, zip_derived_cl77])).
% 40.87/6.40 thf(zip_derived_cl38166, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (releasedAt @ (waterLevel @ X0) @ n2)
% 40.87/6.40 | (zip_tseitin_4 @ n1 @ overflow))),
% 40.87/6.40 inference('condensation', [status(thm)], [zip_derived_cl36806])).
% 40.87/6.40 thf(zip_derived_cl53, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (holdsAt @ (waterLevel @ n3) @ X0) | ~ (zip_tseitin_4 @ X0 @ X1))),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_13])).
% 40.87/6.40 thf(zip_derived_cl38175, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (releasedAt @ (waterLevel @ X0) @ n2)
% 40.87/6.40 | (holdsAt @ (waterLevel @ n3) @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl38166, zip_derived_cl53])).
% 40.87/6.40 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 40.87/6.40 inference('cnf', [status(esa)], [plus1_1])).
% 40.87/6.40 thf(happens_not_released, axiom,
% 40.87/6.40 (![Event:$i,Time:$i,Fluent:$i]:
% 40.87/6.40 ( ( ( happens @ Event @ Time ) &
% 40.87/6.40 ( ( initiates @ Event @ Fluent @ Time ) |
% 40.87/6.40 ( terminates @ Event @ Fluent @ Time ) ) ) =>
% 40.87/6.40 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 40.87/6.40 thf(zip_derived_cl24, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.87/6.40 (~ (happens @ X0 @ X1)
% 40.87/6.40 | ~ (initiates @ X0 @ X2 @ X1)
% 40.87/6.40 | ~ (releasedAt @ X2 @ (plus @ X1 @ n1)))),
% 40.87/6.40 inference('cnf', [status(esa)], [happens_not_released])).
% 40.87/6.40 thf(zip_derived_cl264, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 (~ (releasedAt @ X0 @ n2)
% 40.87/6.40 | ~ (initiates @ X1 @ X0 @ n1)
% 40.87/6.40 | ~ (happens @ X1 @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl24])).
% 40.87/6.40 thf(zip_derived_cl38214, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (holdsAt @ (waterLevel @ n3) @ n1)
% 40.87/6.40 | ~ (happens @ X1 @ n1)
% 40.87/6.40 | ~ (initiates @ X1 @ (waterLevel @ X0) @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl38175, zip_derived_cl264])).
% 40.87/6.40 thf(zip_derived_cl38263, plain,
% 40.87/6.40 (( (stoppedIn @ n0 @ filling @ n1)
% 40.87/6.40 | ~ (happens @ overflow @ n1)
% 40.87/6.40 | (holdsAt @ (waterLevel @ n3) @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)],
% 40.87/6.40 [zip_derived_cl5106, zip_derived_cl38214])).
% 40.87/6.40 thf(zip_derived_cl38327, plain,
% 40.87/6.40 (( (happens @ tapOff @ n1)
% 40.87/6.40 | (holdsAt @ (waterLevel @ n3) @ n1)
% 40.87/6.40 | (stoppedIn @ n0 @ filling @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)],
% 40.87/6.40 [zip_derived_cl6510, zip_derived_cl38263])).
% 40.87/6.40 thf(zip_derived_cl4859, plain,
% 40.87/6.40 (( (holdsAt @ (waterLevel @ n1) @ n1) | (stoppedIn @ n0 @ filling @ n1))),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl4857, zip_derived_cl385])).
% 40.87/6.40 thf(zip_derived_cl32, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.87/6.40 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 40.87/6.40 | ~ (holdsAt @ (waterLevel @ X0) @ X1)
% 40.87/6.40 | ((X3) != (tapOff))
% 40.87/6.40 | ((X2) != (waterLevel @ X0)))),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_5])).
% 40.87/6.40 thf(zip_derived_cl4866, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (stoppedIn @ n0 @ filling @ n1)
% 40.87/6.40 | ((X0) != (waterLevel @ n1))
% 40.87/6.40 | ((X1) != (tapOff))
% 40.87/6.40 | (zip_tseitin_1 @ n1 @ n1 @ X0 @ X1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl4859, zip_derived_cl32])).
% 40.87/6.40 thf(zip_derived_cl4910, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (zip_tseitin_1 @ n1 @ n1 @ (waterLevel @ n1) @ X0)
% 40.87/6.40 | ((X0) != (tapOff))
% 40.87/6.40 | (stoppedIn @ n0 @ filling @ n1))),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl4866])).
% 40.87/6.40 thf(zip_derived_cl4911, plain,
% 40.87/6.40 (( (stoppedIn @ n0 @ filling @ n1)
% 40.87/6.40 | (zip_tseitin_1 @ n1 @ n1 @ (waterLevel @ n1) @ tapOff))),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl4910])).
% 40.87/6.40 thf(zip_derived_cl42, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.87/6.40 ( (initiates @ X0 @ X1 @ X2) | ~ (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [zf_stmt_8])).
% 40.87/6.40 thf(zip_derived_cl5145, plain,
% 40.87/6.40 (( (stoppedIn @ n0 @ filling @ n1)
% 40.87/6.40 | (initiates @ tapOff @ (waterLevel @ n1) @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl4911, zip_derived_cl42])).
% 40.87/6.40 thf(zip_derived_cl38214, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (holdsAt @ (waterLevel @ n3) @ n1)
% 40.87/6.40 | ~ (happens @ X1 @ n1)
% 40.87/6.40 | ~ (initiates @ X1 @ (waterLevel @ X0) @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl38175, zip_derived_cl264])).
% 40.87/6.40 thf(zip_derived_cl38264, plain,
% 40.87/6.40 (( (stoppedIn @ n0 @ filling @ n1)
% 40.87/6.40 | ~ (happens @ tapOff @ n1)
% 40.87/6.40 | (holdsAt @ (waterLevel @ n3) @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)],
% 40.87/6.40 [zip_derived_cl5145, zip_derived_cl38214])).
% 40.87/6.40 thf(zip_derived_cl38346, plain,
% 40.87/6.40 (( (stoppedIn @ n0 @ filling @ n1) | (holdsAt @ (waterLevel @ n3) @ n1))),
% 40.87/6.40 inference('clc', [status(thm)],
% 40.87/6.40 [zip_derived_cl38327, zip_derived_cl38264])).
% 40.87/6.40 thf(zip_derived_cl4859, plain,
% 40.87/6.40 (( (holdsAt @ (waterLevel @ n1) @ n1) | (stoppedIn @ n0 @ filling @ n1))),
% 40.87/6.40 inference('demod', [status(thm)], [zip_derived_cl4857, zip_derived_cl385])).
% 40.87/6.40 thf(same_waterLevel, axiom,
% 40.87/6.40 (![Time:$i,Height1:$i,Height2:$i]:
% 40.87/6.40 ( ( ( holdsAt @ ( waterLevel @ Height1 ) @ Time ) &
% 40.87/6.40 ( holdsAt @ ( waterLevel @ Height2 ) @ Time ) ) =>
% 40.87/6.40 ( ( Height1 ) = ( Height2 ) ) ))).
% 40.87/6.40 thf(zip_derived_cl64, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.87/6.40 (~ (holdsAt @ (waterLevel @ X0) @ X1)
% 40.87/6.40 | ~ (holdsAt @ (waterLevel @ X2) @ X1)
% 40.87/6.40 | ((X0) = (X2)))),
% 40.87/6.40 inference('cnf', [status(esa)], [same_waterLevel])).
% 40.87/6.40 thf(zip_derived_cl4868, plain,
% 40.87/6.40 (![X0 : $i]:
% 40.87/6.40 ( (stoppedIn @ n0 @ filling @ n1)
% 40.87/6.40 | ((n1) = (X0))
% 40.87/6.40 | ~ (holdsAt @ (waterLevel @ X0) @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl4859, zip_derived_cl64])).
% 40.87/6.40 thf(zip_derived_cl38358, plain,
% 40.87/6.40 (( (stoppedIn @ n0 @ filling @ n1)
% 40.87/6.40 | ((n1) = (n3))
% 40.87/6.40 | (stoppedIn @ n0 @ filling @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)],
% 40.87/6.40 [zip_derived_cl38346, zip_derived_cl4868])).
% 40.87/6.40 thf(zip_derived_cl38371, plain,
% 40.87/6.40 ((((n1) = (n3)) | (stoppedIn @ n0 @ filling @ n1))),
% 40.87/6.40 inference('simplify', [status(thm)], [zip_derived_cl38358])).
% 40.87/6.40 thf(zip_derived_cl1, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.87/6.40 ( (less @ (sk__1 @ X0 @ X1 @ X2) @ X0) | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [stoppedin_defn])).
% 40.87/6.40 thf(zip_derived_cl38373, plain,
% 40.87/6.40 ((((n1) = (n3)) | (less @ (sk__1 @ n1 @ filling @ n0) @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl38371, zip_derived_cl1])).
% 40.87/6.40 thf(zip_derived_cl696, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X1 @ X0) | (less @ X0 @ X1))),
% 40.87/6.40 inference('clc', [status(thm)], [zip_derived_cl265, zip_derived_cl86])).
% 40.87/6.40 thf(zip_derived_cl85, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ~ (less @ X0 @ X1))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_or_equal])).
% 40.87/6.40 thf(zip_derived_cl697, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 ( (less_or_equal @ X0 @ X1) | (less_or_equal @ X1 @ X0))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl696, zip_derived_cl85])).
% 40.87/6.40 thf(zip_derived_cl91, plain,
% 40.87/6.40 (![X0 : $i]: ( (less @ X0 @ n2) | ~ (less_or_equal @ X0 @ n1))),
% 40.87/6.40 inference('cnf', [status(esa)], [less2])).
% 40.87/6.40 thf(zip_derived_cl1115, plain,
% 40.87/6.40 (![X0 : $i]: ( (less_or_equal @ n1 @ X0) | (less @ X0 @ n2))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl697, zip_derived_cl91])).
% 40.87/6.40 thf(zip_derived_cl84, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]:
% 40.87/6.40 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_or_equal])).
% 40.87/6.40 thf(zip_derived_cl1137, plain,
% 40.87/6.40 (![X0 : $i]: ( (less @ X0 @ n2) | (less @ n1 @ X0) | ((n1) = (X0)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1115, zip_derived_cl84])).
% 40.87/6.40 thf(zip_derived_cl106, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_property])).
% 40.87/6.40 thf(zip_derived_cl1823, plain,
% 40.87/6.40 (![X0 : $i]: (((n1) = (X0)) | (less @ X0 @ n2) | ~ (less @ X0 @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl1137, zip_derived_cl106])).
% 40.87/6.40 thf(zip_derived_cl107, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_property])).
% 40.87/6.40 thf(zip_derived_cl1848, plain,
% 40.87/6.40 (![X0 : $i]: (~ (less @ X0 @ n1) | (less @ X0 @ n2))),
% 40.87/6.40 inference('clc', [status(thm)], [zip_derived_cl1823, zip_derived_cl107])).
% 40.87/6.40 thf(zip_derived_cl38405, plain,
% 40.87/6.40 ((((n1) = (n3)) | (less @ (sk__1 @ n1 @ filling @ n0) @ n2))),
% 40.87/6.40 inference('sup-', [status(thm)],
% 40.87/6.40 [zip_derived_cl38373, zip_derived_cl1848])).
% 40.87/6.40 thf(zip_derived_cl3173, plain,
% 40.87/6.40 (![X0 : $i]: (~ (less @ X0 @ n2) | ((X0) = (n1)) | ((X0) = (n0)))),
% 40.87/6.40 inference('clc', [status(thm)], [zip_derived_cl3145, zip_derived_cl107])).
% 40.87/6.40 thf(zip_derived_cl38576, plain,
% 40.87/6.40 ((((n1) = (n3))
% 40.87/6.40 | ((sk__1 @ n1 @ filling @ n0) = (n0))
% 40.87/6.40 | ((sk__1 @ n1 @ filling @ n0) = (n1)))),
% 40.87/6.40 inference('sup-', [status(thm)],
% 40.87/6.40 [zip_derived_cl38405, zip_derived_cl3173])).
% 40.87/6.40 thf(zip_derived_cl38373, plain,
% 40.87/6.40 ((((n1) = (n3)) | (less @ (sk__1 @ n1 @ filling @ n0) @ n1))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl38371, zip_derived_cl1])).
% 40.87/6.40 thf(zip_derived_cl41517, plain,
% 40.87/6.40 (( (less @ n1 @ n1)
% 40.87/6.40 | ((sk__1 @ n1 @ filling @ n0) = (n0))
% 40.87/6.40 | ((n1) = (n3))
% 40.87/6.40 | ((n1) = (n3)))),
% 40.87/6.40 inference('sup+', [status(thm)],
% 40.87/6.40 [zip_derived_cl38576, zip_derived_cl38373])).
% 40.87/6.40 thf(zip_derived_cl107, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_property])).
% 40.87/6.40 thf(zip_derived_cl116, plain, (![X0 : $i]: ~ (less @ X0 @ X0)),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl107])).
% 40.87/6.40 thf(zip_derived_cl41633, plain,
% 40.87/6.40 ((((sk__1 @ n1 @ filling @ n0) = (n0)) | ((n1) = (n3)) | ((n1) = (n3)))),
% 40.87/6.40 inference('demod', [status(thm)],
% 40.87/6.40 [zip_derived_cl41517, zip_derived_cl116])).
% 40.87/6.40 thf(zip_derived_cl41634, plain,
% 40.87/6.40 ((((n1) = (n3)) | ((sk__1 @ n1 @ filling @ n0) = (n0)))),
% 40.87/6.40 inference('simplify', [status(thm)], [zip_derived_cl41633])).
% 40.87/6.40 thf(zip_derived_cl38371, plain,
% 40.87/6.40 ((((n1) = (n3)) | (stoppedIn @ n0 @ filling @ n1))),
% 40.87/6.40 inference('simplify', [status(thm)], [zip_derived_cl38358])).
% 40.87/6.40 thf(zip_derived_cl2, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.87/6.40 ( (less @ X0 @ (sk__1 @ X1 @ X2 @ X0)) | ~ (stoppedIn @ X0 @ X2 @ X1))),
% 40.87/6.40 inference('cnf', [status(esa)], [stoppedin_defn])).
% 40.87/6.40 thf(zip_derived_cl38375, plain,
% 40.87/6.40 ((((n1) = (n3)) | (less @ n0 @ (sk__1 @ n1 @ filling @ n0)))),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl38371, zip_derived_cl2])).
% 40.87/6.40 thf(zip_derived_cl41766, plain,
% 40.87/6.40 (( (less @ n0 @ n0) | ((n1) = (n3)) | ((n1) = (n3)))),
% 40.87/6.40 inference('sup+', [status(thm)],
% 40.87/6.40 [zip_derived_cl41634, zip_derived_cl38375])).
% 40.87/6.40 thf(zip_derived_cl41878, plain, ((((n1) = (n3)) | (less @ n0 @ n0))),
% 40.87/6.40 inference('simplify', [status(thm)], [zip_derived_cl41766])).
% 40.87/6.40 thf(zip_derived_cl116, plain, (![X0 : $i]: ~ (less @ X0 @ X0)),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl107])).
% 40.87/6.40 thf(zip_derived_cl41996, plain, (((n1) = (n3))),
% 40.87/6.40 inference('clc', [status(thm)], [zip_derived_cl41878, zip_derived_cl116])).
% 40.87/6.40 thf(zip_derived_cl120, plain, (![X0 : $i]: (less_or_equal @ X0 @ X0)),
% 40.87/6.40 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 40.87/6.40 thf(less3, axiom,
% 40.87/6.40 (![X:$i]: ( ( less @ X @ n3 ) <=> ( less_or_equal @ X @ n2 ) ))).
% 40.87/6.40 thf(zip_derived_cl93, plain,
% 40.87/6.40 (![X0 : $i]: ( (less @ X0 @ n3) | ~ (less_or_equal @ X0 @ n2))),
% 40.87/6.40 inference('cnf', [status(esa)], [less3])).
% 40.87/6.40 thf(zip_derived_cl127, plain, ( (less @ n2 @ n3)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl93])).
% 40.87/6.40 thf(zip_derived_cl106, plain,
% 40.87/6.40 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 40.87/6.40 inference('cnf', [status(esa)], [less_property])).
% 40.87/6.40 thf(zip_derived_cl130, plain, (~ (less @ n3 @ n2)),
% 40.87/6.40 inference('sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl106])).
% 40.87/6.40 thf(zip_derived_cl42018, plain, ($false),
% 40.87/6.40 inference('demod', [status(thm)],
% 40.87/6.40 [zip_derived_cl121, zip_derived_cl41996, zip_derived_cl130])).
% 40.87/6.40
% 40.87/6.40 % SZS output end Refutation
% 40.87/6.40
% 40.87/6.40
% 40.87/6.40 % Terminating...
% 40.87/6.46 % Runner terminated.
% 40.87/6.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------