%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CSR009+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.MMGtqzq1zl true
% Computer : n006.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 90.89s 16.78s
% Output : Refutation 90.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.08 % Problem : CSR009+1 : TPTP v9.2.0. Bugfixed v3.1.0.
% 0.06/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MMGtqzq1zl true
% 0.08/0.28 % Computer : n006.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Wed Oct 1 14:55:08 EDT 2025
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % Running portfolio for 300 s
% 0.08/0.28 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.28 % Number of cores: 8
% 0.08/0.28 % Python version: Python 3.6.8
% 0.08/0.28 % Running in FO mode
% 0.13/0.51 % Total configuration time : 435
% 0.13/0.51 % Estimated wc time : 1092
% 0.13/0.51 % Estimated cpu time (7 cpus) : 156.0
% 0.70/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.70/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.70/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.70/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.04/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.04/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.07/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 90.89/16.78 % Solved by fo/fo13.sh.
% 90.89/16.78 % done 10088 iterations in 16.109s
% 90.89/16.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 90.89/16.78 % SZS output start Refutation
% 90.89/16.78 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 90.89/16.78 thf(waterLevel_type, type, waterLevel: $i > $i).
% 90.89/16.78 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 90.89/16.78 thf(sk__4_type, type, sk__4: $i > $i > $i).
% 90.89/16.78 thf(n3_type, type, n3: $i).
% 90.89/16.78 thf(tapOn_type, type, tapOn: $i).
% 90.89/16.78 thf(spilling_type, type, spilling: $i).
% 90.89/16.78 thf(releases_type, type, releases: $i > $i > $i > $o).
% 90.89/16.78 thf(initiates_type, type, initiates: $i > $i > $i > $o).
% 90.89/16.78 thf(happens_type, type, happens: $i > $i > $o).
% 90.89/16.78 thf(n1_type, type, n1: $i).
% 90.89/16.78 thf(filling_type, type, filling: $i).
% 90.89/16.78 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 90.89/16.78 thf(sk__1_type, type, sk__1: $i > $i > $i > $i).
% 90.89/16.78 thf(sk__10_type, type, sk__10: $i > $i).
% 90.89/16.78 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 90.89/16.78 thf(trajectory_type, type, trajectory: $i > $i > $i > $i > $o).
% 90.89/16.78 thf(n2_type, type, n2: $i).
% 90.89/16.78 thf(overflow_type, type, overflow: $i).
% 90.89/16.78 thf(releasedAt_type, type, releasedAt: $i > $i > $o).
% 90.89/16.78 thf(sk__7_type, type, sk__7: $i > $i > $i).
% 90.89/16.78 thf(less_type, type, less: $i > $i > $o).
% 90.89/16.78 thf(plus_type, type, plus: $i > $i > $i).
% 90.89/16.78 thf(stoppedIn_type, type, stoppedIn: $i > $i > $i > $o).
% 90.89/16.78 thf(holdsAt_type, type, holdsAt: $i > $i > $o).
% 90.89/16.78 thf(n0_type, type, n0: $i).
% 90.89/16.78 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $o).
% 90.89/16.78 thf(terminates_type, type, terminates: $i > $i > $i > $o).
% 90.89/16.78 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 90.89/16.78 thf(tapOff_type, type, tapOff: $i).
% 90.89/16.78 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 90.89/16.78 thf(less_or_equal, axiom,
% 90.89/16.78 (![X:$i,Y:$i]:
% 90.89/16.78 ( ( less_or_equal @ X @ Y ) <=> ( ( less @ X @ Y ) | ( ( X ) = ( Y ) ) ) ))).
% 90.89/16.78 thf(zip_derived_cl86, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ((X0) != (X1)))),
% 90.89/16.78 inference('cnf', [status(esa)], [less_or_equal])).
% 90.89/16.78 thf(zip_derived_cl132, plain, (![X0 : $i]: (less_or_equal @ X0 @ X0)),
% 90.89/16.78 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 90.89/16.78 thf(less3, axiom,
% 90.89/16.78 (![X:$i]: ( ( less @ X @ n3 ) <=> ( less_or_equal @ X @ n2 ) ))).
% 90.89/16.78 thf(zip_derived_cl93, plain,
% 90.89/16.78 (![X0 : $i]: ( (less @ X0 @ n3) | ~ (less_or_equal @ X0 @ n2))),
% 90.89/16.78 inference('cnf', [status(esa)], [less3])).
% 90.89/16.78 thf(zip_derived_cl167, plain, ( (less @ n2 @ n3)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl93])).
% 90.89/16.78 thf(plus0_1, axiom, (( plus @ n0 @ n1 ) = ( n1 ))).
% 90.89/16.78 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 90.89/16.78 inference('cnf', [status(esa)], [plus0_1])).
% 90.89/16.78 thf(waterLevel_0, axiom, (holdsAt @ ( waterLevel @ n0 ) @ n0)).
% 90.89/16.78 thf(zip_derived_cl109, plain, ( (holdsAt @ (waterLevel @ n0) @ n0)),
% 90.89/16.78 inference('cnf', [status(esa)], [waterLevel_0])).
% 90.89/16.78 thf(change_of_waterLevel, axiom,
% 90.89/16.78 (![Height1:$i,Time:$i,Height2:$i,Offset:$i]:
% 90.89/16.78 ( ( ( holdsAt @ ( waterLevel @ Height1 ) @ Time ) &
% 90.89/16.78 ( ( Height2 ) = ( plus @ Height1 @ Offset ) ) ) =>
% 90.89/16.78 ( trajectory @ filling @ Time @ ( waterLevel @ Height2 ) @ Offset ) ))).
% 90.89/16.78 thf(zip_derived_cl63, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.89/16.78 (~ (holdsAt @ (waterLevel @ X0) @ X1)
% 90.89/16.78 | ((X3) != (plus @ X0 @ X2))
% 90.89/16.78 | (trajectory @ filling @ X1 @ (waterLevel @ X3) @ X2))),
% 90.89/16.78 inference('cnf', [status(esa)], [change_of_waterLevel])).
% 90.89/16.78 thf(zip_derived_cl375, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.89/16.78 ( (trajectory @ filling @ X2 @ (waterLevel @ (plus @ X1 @ X0)) @ X0)
% 90.89/16.78 | ~ (holdsAt @ (waterLevel @ X1) @ X2))),
% 90.89/16.78 inference('eq_res', [status(thm)], [zip_derived_cl63])).
% 90.89/16.78 thf(zip_derived_cl3898, plain,
% 90.89/16.78 (![X0 : $i]:
% 90.89/16.78 (trajectory @ filling @ n0 @ (waterLevel @ (plus @ n0 @ X0)) @ X0)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl375])).
% 90.89/16.78 thf(zip_derived_cl27680, plain,
% 90.89/16.78 ( (trajectory @ filling @ n0 @ (waterLevel @ n1) @ n1)),
% 90.89/16.78 inference('s_sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl3898])).
% 90.89/16.78 thf(initiates_all_defn, axiom,
% 90.89/16.78 (![Event:$i,Fluent:$i,Time:$i]:
% 90.89/16.78 ( ( initiates @ Event @ Fluent @ Time ) <=>
% 90.89/16.78 ( ( ?[Height:$i]:
% 90.89/16.78 ( ( holdsAt @ ( waterLevel @ Height ) @ Time ) &
% 90.89/16.78 ( ( Event ) = ( overflow ) ) &
% 90.89/16.78 ( ( Fluent ) = ( waterLevel @ Height ) ) ) ) |
% 90.89/16.78 ( ?[Height:$i]:
% 90.89/16.78 ( ( holdsAt @ ( waterLevel @ Height ) @ Time ) &
% 90.89/16.78 ( ( Event ) = ( tapOff ) ) &
% 90.89/16.78 ( ( Fluent ) = ( waterLevel @ Height ) ) ) ) |
% 90.89/16.78 ( ( ( Fluent ) = ( spilling ) ) & ( ( Event ) = ( overflow ) ) ) |
% 90.89/16.78 ( ( ( Fluent ) = ( filling ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 90.89/16.78 thf(zf_stmt_0, axiom,
% 90.89/16.78 (![Fluent:$i,Event:$i]:
% 90.89/16.78 ( ( zip_tseitin_3 @ Fluent @ Event ) <=>
% 90.89/16.78 ( ( ( Event ) = ( tapOn ) ) & ( ( Fluent ) = ( filling ) ) ) ))).
% 90.89/16.78 thf(zip_derived_cl38, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 ( (zip_tseitin_3 @ X0 @ X1) | ((X0) != (filling)) | ((X1) != (tapOn)))),
% 90.89/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.89/16.78 thf(zip_derived_cl133, plain,
% 90.89/16.78 (![X0 : $i]: (((X0) != (tapOn)) | (zip_tseitin_3 @ filling @ X0))),
% 90.89/16.78 inference('eq_res', [status(thm)], [zip_derived_cl38])).
% 90.89/16.78 thf(zip_derived_cl134, plain, ( (zip_tseitin_3 @ filling @ tapOn)),
% 90.89/16.78 inference('eq_res', [status(thm)], [zip_derived_cl133])).
% 90.89/16.78 thf(zf_stmt_1, type, zip_tseitin_3 : $i > $i > $o).
% 90.89/16.78 thf(zf_stmt_2, type, zip_tseitin_2 : $i > $i > $o).
% 90.89/16.78 thf(zf_stmt_3, axiom,
% 90.89/16.78 (![Fluent:$i,Event:$i]:
% 90.89/16.78 ( ( zip_tseitin_2 @ Fluent @ Event ) <=>
% 90.89/16.78 ( ( ( Event ) = ( overflow ) ) & ( ( Fluent ) = ( spilling ) ) ) ))).
% 90.89/16.78 thf(zf_stmt_4, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 90.89/16.78 thf(zf_stmt_5, axiom,
% 90.89/16.78 (![Height:$i,Time:$i,Fluent:$i,Event:$i]:
% 90.89/16.78 ( ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event ) <=>
% 90.89/16.78 ( ( ( Fluent ) = ( waterLevel @ Height ) ) &
% 90.89/16.78 ( ( Event ) = ( tapOff ) ) &
% 90.89/16.78 ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ))).
% 90.89/16.78 thf(zf_stmt_6, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 90.89/16.78 thf(zf_stmt_7, axiom,
% 90.89/16.78 (![Height:$i,Time:$i,Fluent:$i,Event:$i]:
% 90.89/16.78 ( ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) <=>
% 90.89/16.78 ( ( ( Fluent ) = ( waterLevel @ Height ) ) &
% 90.89/16.78 ( ( Event ) = ( overflow ) ) &
% 90.89/16.78 ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ))).
% 90.89/16.78 thf(zf_stmt_8, axiom,
% 90.89/16.78 (![Event:$i,Fluent:$i,Time:$i]:
% 90.89/16.78 ( ( initiates @ Event @ Fluent @ Time ) <=>
% 90.89/16.78 ( ( zip_tseitin_3 @ Fluent @ Event ) |
% 90.89/16.78 ( zip_tseitin_2 @ Fluent @ Event ) |
% 90.89/16.78 ( ?[Height:$i]: ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event ) ) |
% 90.89/16.78 ( ?[Height:$i]: ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) ) ) ))).
% 90.89/16.78 thf(zip_derived_cl40, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.89/16.78 ( (initiates @ X0 @ X1 @ X2) | ~ (zip_tseitin_3 @ X1 @ X0))),
% 90.89/16.78 inference('cnf', [status(esa)], [zf_stmt_8])).
% 90.89/16.78 thf(zip_derived_cl226, plain,
% 90.89/16.78 (![X0 : $i]: (initiates @ tapOn @ filling @ X0)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl40])).
% 90.89/16.78 thf(happens_all_defn, axiom,
% 90.89/16.78 (![Event:$i,Time:$i]:
% 90.89/16.78 ( ( happens @ Event @ Time ) <=>
% 90.89/16.78 ( ( ( ( Event ) = ( overflow ) ) & ( holdsAt @ filling @ Time ) &
% 90.89/16.78 ( holdsAt @ ( waterLevel @ n3 ) @ Time ) ) |
% 90.89/16.78 ( ( ( Time ) = ( n0 ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 90.89/16.78 thf(zf_stmt_9, axiom,
% 90.89/16.78 (![Time:$i,Event:$i]:
% 90.89/16.78 ( ( zip_tseitin_5 @ Time @ Event ) <=>
% 90.89/16.78 ( ( ( Event ) = ( tapOn ) ) & ( ( Time ) = ( n0 ) ) ) ))).
% 90.89/16.78 thf(zip_derived_cl59, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 ( (zip_tseitin_5 @ X0 @ X1) | ((X0) != (n0)) | ((X1) != (tapOn)))),
% 90.89/16.78 inference('cnf', [status(esa)], [zf_stmt_9])).
% 90.89/16.78 thf(zip_derived_cl150, plain,
% 90.89/16.78 (![X0 : $i]: (((X0) != (tapOn)) | (zip_tseitin_5 @ n0 @ X0))),
% 90.89/16.78 inference('eq_res', [status(thm)], [zip_derived_cl59])).
% 90.89/16.78 thf(zip_derived_cl154, plain, ( (zip_tseitin_5 @ n0 @ tapOn)),
% 90.89/16.78 inference('eq_res', [status(thm)], [zip_derived_cl150])).
% 90.89/16.78 thf(zf_stmt_10, type, zip_tseitin_5 : $i > $i > $o).
% 90.89/16.78 thf(zf_stmt_11, type, zip_tseitin_4 : $i > $i > $o).
% 90.89/16.78 thf(zf_stmt_12, axiom,
% 90.89/16.78 (![Time:$i,Event:$i]:
% 90.89/16.78 ( ( zip_tseitin_4 @ Time @ Event ) <=>
% 90.89/16.78 ( ( holdsAt @ ( waterLevel @ n3 ) @ Time ) &
% 90.89/16.78 ( holdsAt @ filling @ Time ) & ( ( Event ) = ( overflow ) ) ) ))).
% 90.89/16.78 thf(zf_stmt_13, axiom,
% 90.89/16.78 (![Event:$i,Time:$i]:
% 90.89/16.78 ( ( happens @ Event @ Time ) <=>
% 90.89/16.78 ( ( zip_tseitin_5 @ Time @ Event ) | ( zip_tseitin_4 @ Time @ Event ) ) ))).
% 90.89/16.78 thf(zip_derived_cl61, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 ( (happens @ X0 @ X1) | ~ (zip_tseitin_5 @ X1 @ X0))),
% 90.89/16.78 inference('cnf', [status(esa)], [zf_stmt_13])).
% 90.89/16.78 thf(zip_derived_cl156, plain, ( (happens @ tapOn @ n0)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl154, zip_derived_cl61])).
% 90.89/16.78 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 90.89/16.78 inference('cnf', [status(esa)], [plus0_1])).
% 90.89/16.78 thf(change_holding, axiom,
% 90.89/16.78 (![Event:$i,Time:$i,Fluent:$i,Fluent2:$i,Offset:$i]:
% 90.89/16.78 ( ( ( happens @ Event @ Time ) & ( initiates @ Event @ Fluent @ Time ) &
% 90.89/16.78 ( less @ n0 @ Offset ) &
% 90.89/16.78 ( trajectory @ Fluent @ Time @ Fluent2 @ Offset ) &
% 90.89/16.78 ( ~( stoppedIn @ Time @ Fluent @ ( plus @ Time @ Offset ) ) ) ) =>
% 90.89/16.78 ( holdsAt @ Fluent2 @ ( plus @ Time @ Offset ) ) ))).
% 90.89/16.78 thf(zip_derived_cl10, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 90.89/16.78 (~ (initiates @ X0 @ X1 @ X2)
% 90.89/16.78 | ~ (happens @ X0 @ X2)
% 90.89/16.78 | ~ (less @ n0 @ X3)
% 90.89/16.78 | ~ (trajectory @ X1 @ X2 @ X4 @ X3)
% 90.89/16.78 | (stoppedIn @ X2 @ X1 @ (plus @ X2 @ X3))
% 90.89/16.78 | (holdsAt @ X4 @ (plus @ X2 @ X3)))),
% 90.89/16.78 inference('cnf', [status(esa)], [change_holding])).
% 90.89/16.78 thf(zip_derived_cl195, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.89/16.78 (~ (initiates @ X1 @ X0 @ n0)
% 90.89/16.78 | ~ (happens @ X1 @ n0)
% 90.89/16.78 | ~ (less @ n0 @ n1)
% 90.89/16.78 | ~ (trajectory @ X0 @ n0 @ X2 @ n1)
% 90.89/16.78 | (stoppedIn @ n0 @ X0 @ n1)
% 90.89/16.78 | (holdsAt @ X2 @ n1))),
% 90.89/16.78 inference('s_sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl10])).
% 90.89/16.78 thf(zip_derived_cl132, plain, (![X0 : $i]: (less_or_equal @ X0 @ X0)),
% 90.89/16.78 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 90.89/16.78 thf(less1, axiom,
% 90.89/16.78 (![X:$i]: ( ( less @ X @ n1 ) <=> ( less_or_equal @ X @ n0 ) ))).
% 90.89/16.78 thf(zip_derived_cl89, plain,
% 90.89/16.78 (![X0 : $i]: ( (less @ X0 @ n1) | ~ (less_or_equal @ X0 @ n0))),
% 90.89/16.78 inference('cnf', [status(esa)], [less1])).
% 90.89/16.78 thf(zip_derived_cl158, plain, ( (less @ n0 @ n1)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl89])).
% 90.89/16.78 thf(zip_derived_cl219, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.89/16.78 (~ (initiates @ X1 @ X0 @ n0)
% 90.89/16.78 | ~ (happens @ X1 @ n0)
% 90.89/16.78 | ~ (trajectory @ X0 @ n0 @ X2 @ n1)
% 90.89/16.78 | (stoppedIn @ n0 @ X0 @ n1)
% 90.89/16.78 | (holdsAt @ X2 @ n1))),
% 90.89/16.78 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl158])).
% 90.89/16.78 thf(zip_derived_cl1149, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 (~ (initiates @ tapOn @ X0 @ n0)
% 90.89/16.78 | ~ (trajectory @ X0 @ n0 @ X1 @ n1)
% 90.89/16.78 | (stoppedIn @ n0 @ X0 @ n1)
% 90.89/16.78 | (holdsAt @ X1 @ n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl219])).
% 90.89/16.78 thf(zip_derived_cl7312, plain,
% 90.89/16.78 (![X0 : $i]:
% 90.89/16.78 (~ (trajectory @ filling @ n0 @ X0 @ n1)
% 90.89/16.78 | (stoppedIn @ n0 @ filling @ n1)
% 90.89/16.78 | (holdsAt @ X0 @ n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)],
% 90.89/16.78 [zip_derived_cl226, zip_derived_cl1149])).
% 90.89/16.78 thf(zip_derived_cl80623, plain,
% 90.89/16.78 (( (stoppedIn @ n0 @ filling @ n1) | (holdsAt @ (waterLevel @ n1) @ n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)],
% 90.89/16.78 [zip_derived_cl27680, zip_derived_cl7312])).
% 90.89/16.78 thf(stoppedin_defn, axiom,
% 90.89/16.78 (![Time1:$i,Fluent:$i,Time2:$i]:
% 90.89/16.78 ( ( stoppedIn @ Time1 @ Fluent @ Time2 ) <=>
% 90.89/16.78 ( ?[Event:$i,Time:$i]:
% 90.89/16.78 ( ( terminates @ Event @ Fluent @ Time ) & ( less @ Time @ Time2 ) &
% 90.89/16.78 ( less @ Time1 @ Time ) & ( happens @ Event @ Time ) ) ) ))).
% 90.89/16.78 thf(zip_derived_cl1, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.89/16.78 ( (less @ (sk__1 @ X0 @ X1 @ X2) @ X0) | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 90.89/16.78 inference('cnf', [status(esa)], [stoppedin_defn])).
% 90.89/16.78 thf(zip_derived_cl80627, plain,
% 90.89/16.78 (( (holdsAt @ (waterLevel @ n1) @ n1)
% 90.89/16.78 | (less @ (sk__1 @ n1 @ filling @ n0) @ n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl80623, zip_derived_cl1])).
% 90.89/16.78 thf(less_property, axiom,
% 90.89/16.78 (![X:$i,Y:$i]:
% 90.89/16.78 ( ( less @ X @ Y ) <=> ( ( ~( less @ Y @ X ) ) & ( ( Y ) != ( X ) ) ) ))).
% 90.89/16.78 thf(zip_derived_cl108, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 90.89/16.78 inference('cnf', [status(esa)], [less_property])).
% 90.89/16.78 thf(zip_derived_cl88, plain,
% 90.89/16.78 (![X0 : $i]: ( (less_or_equal @ X0 @ n0) | ~ (less @ X0 @ n1))),
% 90.89/16.78 inference('cnf', [status(esa)], [less1])).
% 90.89/16.78 thf(zip_derived_cl285, plain,
% 90.89/16.78 (![X0 : $i]:
% 90.89/16.78 ( (less @ n1 @ X0) | ((n1) = (X0)) | (less_or_equal @ X0 @ n0))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl88])).
% 90.89/16.78 thf(zip_derived_cl84, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 90.89/16.78 inference('cnf', [status(esa)], [less_or_equal])).
% 90.89/16.78 thf(zip_derived_cl2103, plain,
% 90.89/16.78 (![X0 : $i]:
% 90.89/16.78 (((n1) = (X0)) | (less @ n1 @ X0) | ((X0) = (n0)) | (less @ X0 @ n0))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl84])).
% 90.89/16.78 thf(less0, axiom, (~( ?[X:$i]: ( less @ X @ n0 ) ))).
% 90.89/16.78 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 90.89/16.78 inference('cnf', [status(esa)], [less0])).
% 90.89/16.78 thf(zip_derived_cl13915, plain,
% 90.89/16.78 (![X0 : $i]: (((X0) = (n0)) | (less @ n1 @ X0) | ((n1) = (X0)))),
% 90.89/16.78 inference('clc', [status(thm)], [zip_derived_cl2103, zip_derived_cl87])).
% 90.89/16.78 thf(zip_derived_cl106, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 90.89/16.78 inference('cnf', [status(esa)], [less_property])).
% 90.89/16.78 thf(zip_derived_cl13917, plain,
% 90.89/16.78 (![X0 : $i]: (((n1) = (X0)) | ((X0) = (n0)) | ~ (less @ X0 @ n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)],
% 90.89/16.78 [zip_derived_cl13915, zip_derived_cl106])).
% 90.89/16.78 thf(zip_derived_cl107, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 90.89/16.78 inference('cnf', [status(esa)], [less_property])).
% 90.89/16.78 thf(zip_derived_cl14845, plain,
% 90.89/16.78 (![X0 : $i]: (~ (less @ X0 @ n1) | ((X0) = (n0)))),
% 90.89/16.78 inference('clc', [status(thm)], [zip_derived_cl13917, zip_derived_cl107])).
% 90.89/16.78 thf(zip_derived_cl80755, plain,
% 90.89/16.78 (( (holdsAt @ (waterLevel @ n1) @ n1)
% 90.89/16.78 | ((sk__1 @ n1 @ filling @ n0) = (n0)))),
% 90.89/16.78 inference('s_sup-', [status(thm)],
% 90.89/16.78 [zip_derived_cl80627, zip_derived_cl14845])).
% 90.89/16.78 thf(zip_derived_cl2, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.89/16.78 ( (less @ X0 @ (sk__1 @ X1 @ X2 @ X0)) | ~ (stoppedIn @ X0 @ X2 @ X1))),
% 90.89/16.78 inference('cnf', [status(esa)], [stoppedin_defn])).
% 90.89/16.78 thf(zip_derived_cl80762, plain,
% 90.89/16.78 (( (holdsAt @ (waterLevel @ n1) @ n1)
% 90.89/16.78 | (less @ n0 @ n0)
% 90.89/16.78 | ~ (stoppedIn @ n0 @ filling @ n1))),
% 90.89/16.78 inference('s_sup+', [status(thm)], [zip_derived_cl80755, zip_derived_cl2])).
% 90.89/16.78 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 90.89/16.78 inference('cnf', [status(esa)], [less0])).
% 90.89/16.78 thf(zip_derived_cl80865, plain,
% 90.89/16.78 (( (holdsAt @ (waterLevel @ n1) @ n1) | ~ (stoppedIn @ n0 @ filling @ n1))),
% 90.89/16.78 inference('demod', [status(thm)], [zip_derived_cl80762, zip_derived_cl87])).
% 90.89/16.78 thf(zip_derived_cl80623, plain,
% 90.89/16.78 (( (stoppedIn @ n0 @ filling @ n1) | (holdsAt @ (waterLevel @ n1) @ n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)],
% 90.89/16.78 [zip_derived_cl27680, zip_derived_cl7312])).
% 90.89/16.78 thf(zip_derived_cl81033, plain, ( (holdsAt @ (waterLevel @ n1) @ n1)),
% 90.89/16.78 inference('clc', [status(thm)],
% 90.89/16.78 [zip_derived_cl80865, zip_derived_cl80623])).
% 90.89/16.78 thf(zip_derived_cl226, plain,
% 90.89/16.78 (![X0 : $i]: (initiates @ tapOn @ filling @ X0)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl40])).
% 90.89/16.78 thf(zip_derived_cl156, plain, ( (happens @ tapOn @ n0)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl154, zip_derived_cl61])).
% 90.89/16.78 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 90.89/16.78 inference('cnf', [status(esa)], [plus0_1])).
% 90.89/16.78 thf(happens_holds, axiom,
% 90.89/16.78 (![Event:$i,Time:$i,Fluent:$i]:
% 90.89/16.78 ( ( ( happens @ Event @ Time ) & ( initiates @ Event @ Fluent @ Time ) ) =>
% 90.89/16.78 ( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ))).
% 90.89/16.78 thf(zip_derived_cl20, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.89/16.78 (~ (happens @ X0 @ X1)
% 90.89/16.78 | ~ (initiates @ X0 @ X2 @ X1)
% 90.89/16.78 | (holdsAt @ X2 @ (plus @ X1 @ n1)))),
% 90.89/16.78 inference('cnf', [status(esa)], [happens_holds])).
% 90.89/16.78 thf(zip_derived_cl342, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 (~ (happens @ X1 @ n0)
% 90.89/16.78 | ~ (initiates @ X1 @ X0 @ n0)
% 90.89/16.78 | (holdsAt @ X0 @ n1))),
% 90.89/16.78 inference('s_sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl20])).
% 90.89/16.78 thf(zip_derived_cl927, plain,
% 90.89/16.78 (![X0 : $i]: (~ (initiates @ tapOn @ X0 @ n0) | (holdsAt @ X0 @ n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl342])).
% 90.89/16.78 thf(zip_derived_cl928, plain, ( (holdsAt @ filling @ n1)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl226, zip_derived_cl927])).
% 90.89/16.78 thf(keep_holding, axiom,
% 90.89/16.78 (![Fluent:$i,Time:$i]:
% 90.89/16.78 ( ( ( holdsAt @ Fluent @ Time ) &
% 90.89/16.78 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) &
% 90.89/16.78 ( ~( ?[Event:$i]:
% 90.89/16.78 ( ( terminates @ Event @ Fluent @ Time ) &
% 90.89/16.78 ( happens @ Event @ Time ) ) ) ) ) =>
% 90.89/16.78 ( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ))).
% 90.89/16.78 thf(zip_derived_cl13, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 ( (holdsAt @ X0 @ (plus @ X1 @ n1))
% 90.89/16.78 | (terminates @ (sk__4 @ X1 @ X0) @ X0 @ X1)
% 90.89/16.78 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 90.89/16.78 | ~ (holdsAt @ X0 @ X1))),
% 90.89/16.78 inference('cnf', [status(esa)], [keep_holding])).
% 90.89/16.78 thf(zip_derived_cl930, plain,
% 90.89/16.78 (( (holdsAt @ filling @ (plus @ n1 @ n1))
% 90.89/16.78 | (terminates @ (sk__4 @ n1 @ filling) @ filling @ n1)
% 90.89/16.78 | (releasedAt @ filling @ (plus @ n1 @ n1)))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl928, zip_derived_cl13])).
% 90.89/16.78 thf(plus1_1, axiom, (( plus @ n1 @ n1 ) = ( n2 ))).
% 90.89/16.78 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 90.89/16.78 inference('cnf', [status(esa)], [plus1_1])).
% 90.89/16.78 thf(filling_2, conjecture, (holdsAt @ filling @ n2)).
% 90.89/16.78 thf(zf_stmt_14, negated_conjecture, (~( holdsAt @ filling @ n2 )),
% 90.89/16.78 inference('cnf.neg', [status(esa)], [filling_2])).
% 90.89/16.78 thf(zip_derived_cl115, plain, (~ (holdsAt @ filling @ n2)),
% 90.89/16.78 inference('cnf', [status(esa)], [zf_stmt_14])).
% 90.89/16.78 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 90.89/16.78 inference('cnf', [status(esa)], [plus1_1])).
% 90.89/16.78 thf(zip_derived_cl933, plain,
% 90.89/16.78 (( (terminates @ (sk__4 @ n1 @ filling) @ filling @ n1)
% 90.89/16.78 | (releasedAt @ filling @ n2))),
% 90.89/16.78 inference('demod', [status(thm)],
% 90.89/16.78 [zip_derived_cl930, zip_derived_cl77, zip_derived_cl115,
% 90.89/16.78 zip_derived_cl77])).
% 90.89/16.78 thf(terminates_all_defn, axiom,
% 90.89/16.78 (![Event:$i,Fluent:$i,Time:$i]:
% 90.89/16.78 ( ( terminates @ Event @ Fluent @ Time ) <=>
% 90.89/16.78 ( ( ( ( Event ) = ( tapOff ) ) & ( ( Fluent ) = ( filling ) ) ) |
% 90.89/16.78 ( ( ( Event ) = ( overflow ) ) & ( ( Fluent ) = ( filling ) ) ) ) ))).
% 90.89/16.78 thf(zip_derived_cl45, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.89/16.78 (((X0) = (overflow))
% 90.89/16.78 | ((X0) = (tapOff))
% 90.89/16.78 | ~ (terminates @ X0 @ X1 @ X2))),
% 90.89/16.78 inference('cnf', [status(esa)], [terminates_all_defn])).
% 90.89/16.78 thf(zip_derived_cl944, plain,
% 90.89/16.78 (( (releasedAt @ filling @ n2)
% 90.89/16.78 | ((sk__4 @ n1 @ filling) = (overflow))
% 90.89/16.78 | ((sk__4 @ n1 @ filling) = (tapOff)))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl933, zip_derived_cl45])).
% 90.89/16.78 thf(zip_derived_cl928, plain, ( (holdsAt @ filling @ n1)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl226, zip_derived_cl927])).
% 90.89/16.78 thf(zip_derived_cl12, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 ( (holdsAt @ X0 @ (plus @ X1 @ n1))
% 90.89/16.78 | (happens @ (sk__4 @ X1 @ X0) @ X1)
% 90.89/16.78 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 90.89/16.78 | ~ (holdsAt @ X0 @ X1))),
% 90.89/16.78 inference('cnf', [status(esa)], [keep_holding])).
% 90.89/16.78 thf(zip_derived_cl929, plain,
% 90.89/16.78 (( (holdsAt @ filling @ (plus @ n1 @ n1))
% 90.89/16.78 | (happens @ (sk__4 @ n1 @ filling) @ n1)
% 90.89/16.78 | (releasedAt @ filling @ (plus @ n1 @ n1)))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl928, zip_derived_cl12])).
% 90.89/16.78 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 90.89/16.78 inference('cnf', [status(esa)], [plus1_1])).
% 90.89/16.78 thf(zip_derived_cl115, plain, (~ (holdsAt @ filling @ n2)),
% 90.89/16.78 inference('cnf', [status(esa)], [zf_stmt_14])).
% 90.89/16.78 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 90.89/16.78 inference('cnf', [status(esa)], [plus1_1])).
% 90.89/16.78 thf(zip_derived_cl932, plain,
% 90.89/16.78 (( (happens @ (sk__4 @ n1 @ filling) @ n1) | (releasedAt @ filling @ n2))),
% 90.89/16.78 inference('demod', [status(thm)],
% 90.89/16.78 [zip_derived_cl929, zip_derived_cl77, zip_derived_cl115,
% 90.89/16.78 zip_derived_cl77])).
% 90.89/16.78 thf(zip_derived_cl60, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 ( (zip_tseitin_4 @ X0 @ X1)
% 90.89/16.78 | (zip_tseitin_5 @ X0 @ X1)
% 90.89/16.78 | ~ (happens @ X1 @ X0))),
% 90.89/16.78 inference('cnf', [status(esa)], [zf_stmt_13])).
% 90.89/16.78 thf(zip_derived_cl934, plain,
% 90.89/16.78 (( (releasedAt @ filling @ n2)
% 90.89/16.78 | (zip_tseitin_4 @ n1 @ (sk__4 @ n1 @ filling))
% 90.89/16.78 | (zip_tseitin_5 @ n1 @ (sk__4 @ n1 @ filling)))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl932, zip_derived_cl60])).
% 90.89/16.78 thf(zip_derived_cl57, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]: (((X0) = (tapOn)) | ~ (zip_tseitin_5 @ X1 @ X0))),
% 90.89/16.78 inference('cnf', [status(esa)], [zf_stmt_9])).
% 90.89/16.78 thf(zip_derived_cl1003, plain,
% 90.89/16.78 (( (zip_tseitin_4 @ n1 @ (sk__4 @ n1 @ filling))
% 90.89/16.78 | (releasedAt @ filling @ n2)
% 90.89/16.78 | ((sk__4 @ n1 @ filling) = (tapOn)))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl934, zip_derived_cl57])).
% 90.89/16.78 thf(zip_derived_cl1118, plain,
% 90.89/16.78 ((((sk__4 @ n1 @ filling) = (overflow))
% 90.89/16.78 | (releasedAt @ filling @ n2)
% 90.89/16.78 | (zip_tseitin_4 @ n1 @ tapOff)
% 90.89/16.78 | (releasedAt @ filling @ n2)
% 90.89/16.78 | ((tapOff) = (tapOn)))),
% 90.89/16.78 inference('s_sup+', [status(thm)],
% 90.89/16.78 [zip_derived_cl944, zip_derived_cl1003])).
% 90.89/16.78 thf(zip_derived_cl1121, plain,
% 90.89/16.78 ((((tapOff) = (tapOn))
% 90.89/16.78 | (zip_tseitin_4 @ n1 @ tapOff)
% 90.89/16.78 | (releasedAt @ filling @ n2)
% 90.89/16.78 | ((sk__4 @ n1 @ filling) = (overflow)))),
% 90.89/16.78 inference('simplify', [status(thm)], [zip_derived_cl1118])).
% 90.89/16.78 thf(tapOff_not_tapOn, axiom, (( tapOff ) != ( tapOn ))).
% 90.89/16.78 thf(zip_derived_cl65, plain, (((tapOff) != (tapOn))),
% 90.89/16.78 inference('cnf', [status(esa)], [tapOff_not_tapOn])).
% 90.89/16.78 thf(zip_derived_cl1122, plain,
% 90.89/16.78 (( (zip_tseitin_4 @ n1 @ tapOff)
% 90.89/16.78 | (releasedAt @ filling @ n2)
% 90.89/16.78 | ((sk__4 @ n1 @ filling) = (overflow)))),
% 90.89/16.78 inference('simplify_reflect-', [status(thm)],
% 90.89/16.78 [zip_derived_cl1121, zip_derived_cl65])).
% 90.89/16.78 thf(zip_derived_cl1003, plain,
% 90.89/16.78 (( (zip_tseitin_4 @ n1 @ (sk__4 @ n1 @ filling))
% 90.89/16.78 | (releasedAt @ filling @ n2)
% 90.89/16.78 | ((sk__4 @ n1 @ filling) = (tapOn)))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl934, zip_derived_cl57])).
% 90.89/16.78 thf(zip_derived_cl1158, plain,
% 90.89/16.78 (( (releasedAt @ filling @ n2)
% 90.89/16.78 | (zip_tseitin_4 @ n1 @ tapOff)
% 90.89/16.78 | (zip_tseitin_4 @ n1 @ overflow)
% 90.89/16.78 | (releasedAt @ filling @ n2)
% 90.89/16.78 | ((overflow) = (tapOn)))),
% 90.89/16.78 inference('s_sup+', [status(thm)],
% 90.89/16.78 [zip_derived_cl1122, zip_derived_cl1003])).
% 90.89/16.78 thf(zip_derived_cl1169, plain,
% 90.89/16.78 ((((overflow) = (tapOn))
% 90.89/16.78 | (zip_tseitin_4 @ n1 @ overflow)
% 90.89/16.78 | (zip_tseitin_4 @ n1 @ tapOff)
% 90.89/16.78 | (releasedAt @ filling @ n2))),
% 90.89/16.78 inference('simplify', [status(thm)], [zip_derived_cl1158])).
% 90.89/16.78 thf(overflow_not_tapOn, axiom, (( overflow ) != ( tapOn ))).
% 90.89/16.78 thf(zip_derived_cl67, plain, (((overflow) != (tapOn))),
% 90.89/16.78 inference('cnf', [status(esa)], [overflow_not_tapOn])).
% 90.89/16.78 thf(zip_derived_cl1170, plain,
% 90.89/16.78 (( (zip_tseitin_4 @ n1 @ overflow)
% 90.89/16.78 | (zip_tseitin_4 @ n1 @ tapOff)
% 90.89/16.78 | (releasedAt @ filling @ n2))),
% 90.89/16.78 inference('simplify_reflect-', [status(thm)],
% 90.89/16.78 [zip_derived_cl1169, zip_derived_cl67])).
% 90.89/16.78 thf(zip_derived_cl55, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]: (((X0) = (overflow)) | ~ (zip_tseitin_4 @ X1 @ X0))),
% 90.89/16.78 inference('cnf', [status(esa)], [zf_stmt_12])).
% 90.89/16.78 thf(zip_derived_cl1219, plain,
% 90.89/16.78 (( (releasedAt @ filling @ n2)
% 90.89/16.78 | (zip_tseitin_4 @ n1 @ overflow)
% 90.89/16.78 | ((tapOff) = (overflow)))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl1170, zip_derived_cl55])).
% 90.89/16.78 thf(tapOff_not_overflow, axiom, (( tapOff ) != ( overflow ))).
% 90.89/16.78 thf(zip_derived_cl66, plain, (((tapOff) != (overflow))),
% 90.89/16.78 inference('cnf', [status(esa)], [tapOff_not_overflow])).
% 90.89/16.78 thf(zip_derived_cl1222, plain,
% 90.89/16.78 (( (releasedAt @ filling @ n2) | (zip_tseitin_4 @ n1 @ overflow))),
% 90.89/16.78 inference('simplify_reflect-', [status(thm)],
% 90.89/16.78 [zip_derived_cl1219, zip_derived_cl66])).
% 90.89/16.78 thf(zip_derived_cl53, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 ( (holdsAt @ (waterLevel @ n3) @ X0) | ~ (zip_tseitin_4 @ X0 @ X1))),
% 90.89/16.78 inference('cnf', [status(esa)], [zf_stmt_12])).
% 90.89/16.78 thf(zip_derived_cl1223, plain,
% 90.89/16.78 (( (releasedAt @ filling @ n2) | (holdsAt @ (waterLevel @ n3) @ n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl1222, zip_derived_cl53])).
% 90.89/16.78 thf(zip_derived_cl1122, plain,
% 90.89/16.78 (( (zip_tseitin_4 @ n1 @ tapOff)
% 90.89/16.78 | (releasedAt @ filling @ n2)
% 90.89/16.78 | ((sk__4 @ n1 @ filling) = (overflow)))),
% 90.89/16.78 inference('simplify_reflect-', [status(thm)],
% 90.89/16.78 [zip_derived_cl1121, zip_derived_cl65])).
% 90.89/16.78 thf(zip_derived_cl12, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 ( (holdsAt @ X0 @ (plus @ X1 @ n1))
% 90.89/16.78 | (happens @ (sk__4 @ X1 @ X0) @ X1)
% 90.89/16.78 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 90.89/16.78 | ~ (holdsAt @ X0 @ X1))),
% 90.89/16.78 inference('cnf', [status(esa)], [keep_holding])).
% 90.89/16.78 thf(zip_derived_cl1152, plain,
% 90.89/16.78 (( (releasedAt @ filling @ n2)
% 90.89/16.78 | (zip_tseitin_4 @ n1 @ tapOff)
% 90.89/16.78 | (holdsAt @ filling @ (plus @ n1 @ n1))
% 90.89/16.78 | (happens @ overflow @ n1)
% 90.89/16.78 | (releasedAt @ filling @ (plus @ n1 @ n1))
% 90.89/16.78 | ~ (holdsAt @ filling @ n1))),
% 90.89/16.78 inference('s_sup+', [status(thm)], [zip_derived_cl1122, zip_derived_cl12])).
% 90.89/16.78 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 90.89/16.78 inference('cnf', [status(esa)], [plus1_1])).
% 90.89/16.78 thf(zip_derived_cl115, plain, (~ (holdsAt @ filling @ n2)),
% 90.89/16.78 inference('cnf', [status(esa)], [zf_stmt_14])).
% 90.89/16.78 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 90.89/16.78 inference('cnf', [status(esa)], [plus1_1])).
% 90.89/16.78 thf(zip_derived_cl928, plain, ( (holdsAt @ filling @ n1)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl226, zip_derived_cl927])).
% 90.89/16.78 thf(zip_derived_cl1160, plain,
% 90.89/16.78 (( (releasedAt @ filling @ n2)
% 90.89/16.78 | (zip_tseitin_4 @ n1 @ tapOff)
% 90.89/16.78 | (happens @ overflow @ n1)
% 90.89/16.78 | (releasedAt @ filling @ n2))),
% 90.89/16.78 inference('demod', [status(thm)],
% 90.89/16.78 [zip_derived_cl1152, zip_derived_cl77, zip_derived_cl115,
% 90.89/16.78 zip_derived_cl77, zip_derived_cl928])).
% 90.89/16.78 thf(zip_derived_cl1161, plain,
% 90.89/16.78 (( (happens @ overflow @ n1)
% 90.89/16.78 | (zip_tseitin_4 @ n1 @ tapOff)
% 90.89/16.78 | (releasedAt @ filling @ n2))),
% 90.89/16.78 inference('simplify', [status(thm)], [zip_derived_cl1160])).
% 90.89/16.78 thf(zip_derived_cl55, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]: (((X0) = (overflow)) | ~ (zip_tseitin_4 @ X1 @ X0))),
% 90.89/16.78 inference('cnf', [status(esa)], [zf_stmt_12])).
% 90.89/16.78 thf(zip_derived_cl1174, plain,
% 90.89/16.78 (( (releasedAt @ filling @ n2)
% 90.89/16.78 | (happens @ overflow @ n1)
% 90.89/16.78 | ((tapOff) = (overflow)))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl1161, zip_derived_cl55])).
% 90.89/16.78 thf(zip_derived_cl66, plain, (((tapOff) != (overflow))),
% 90.89/16.78 inference('cnf', [status(esa)], [tapOff_not_overflow])).
% 90.89/16.78 thf(zip_derived_cl1177, plain,
% 90.89/16.78 (( (releasedAt @ filling @ n2) | (happens @ overflow @ n1))),
% 90.89/16.78 inference('simplify_reflect-', [status(thm)],
% 90.89/16.78 [zip_derived_cl1174, zip_derived_cl66])).
% 90.89/16.78 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 90.89/16.78 inference('cnf', [status(esa)], [plus1_1])).
% 90.89/16.78 thf(keep_not_released, axiom,
% 90.89/16.78 (![Fluent:$i,Time:$i]:
% 90.89/16.78 ( ( ( ~( releasedAt @ Fluent @ Time ) ) &
% 90.89/16.78 ( ~( ?[Event:$i]:
% 90.89/16.78 ( ( releases @ Event @ Fluent @ Time ) &
% 90.89/16.78 ( happens @ Event @ Time ) ) ) ) ) =>
% 90.89/16.78 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 90.89/16.78 thf(zip_derived_cl19, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 (~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 90.89/16.78 | (releases @ (sk__7 @ X1 @ X0) @ X0 @ X1)
% 90.89/16.78 | (releasedAt @ X0 @ X1))),
% 90.89/16.78 inference('cnf', [status(esa)], [keep_not_released])).
% 90.89/16.78 thf(zip_derived_cl383, plain,
% 90.89/16.78 (![X0 : $i]:
% 90.89/16.78 (~ (releasedAt @ X0 @ n2)
% 90.89/16.78 | (releases @ (sk__7 @ n1 @ X0) @ X0 @ n1)
% 90.89/16.78 | (releasedAt @ X0 @ n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl19])).
% 90.89/16.78 thf(zip_derived_cl4256, plain,
% 90.89/16.78 (( (happens @ overflow @ n1)
% 90.89/16.78 | (releases @ (sk__7 @ n1 @ filling) @ filling @ n1)
% 90.89/16.78 | (releasedAt @ filling @ n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)],
% 90.89/16.78 [zip_derived_cl1177, zip_derived_cl383])).
% 90.89/16.78 thf(releases_all_defn, axiom,
% 90.89/16.78 (![Event:$i,Fluent:$i,Time:$i]:
% 90.89/16.78 ( ( releases @ Event @ Fluent @ Time ) <=>
% 90.89/16.78 ( ?[Height:$i]:
% 90.89/16.78 ( ( ( Fluent ) = ( waterLevel @ Height ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 90.89/16.78 thf(zip_derived_cl51, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.89/16.78 (((X0) = (waterLevel @ (sk__10 @ X0))) | ~ (releases @ X1 @ X0 @ X2))),
% 90.89/16.78 inference('cnf', [status(esa)], [releases_all_defn])).
% 90.89/16.78 thf(zip_derived_cl4889, plain,
% 90.89/16.78 (( (releasedAt @ filling @ n1)
% 90.89/16.78 | (happens @ overflow @ n1)
% 90.89/16.78 | ((filling) = (waterLevel @ (sk__10 @ filling))))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl4256, zip_derived_cl51])).
% 90.89/16.78 thf(filling_not_waterLevel, axiom,
% 90.89/16.78 (![X:$i]: ( ( filling ) != ( waterLevel @ X ) ))).
% 90.89/16.78 thf(zip_derived_cl68, plain, (![X0 : $i]: ((filling) != (waterLevel @ X0))),
% 90.89/16.78 inference('cnf', [status(esa)], [filling_not_waterLevel])).
% 90.89/16.78 thf(zip_derived_cl4892, plain,
% 90.89/16.78 (( (releasedAt @ filling @ n1) | (happens @ overflow @ n1))),
% 90.89/16.78 inference('simplify_reflect-', [status(thm)],
% 90.89/16.78 [zip_derived_cl4889, zip_derived_cl68])).
% 90.89/16.78 thf(zip_derived_cl156, plain, ( (happens @ tapOn @ n0)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl154, zip_derived_cl61])).
% 90.89/16.78 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 90.89/16.78 inference('cnf', [status(esa)], [plus0_1])).
% 90.89/16.78 thf(happens_not_released, axiom,
% 90.89/16.78 (![Event:$i,Time:$i,Fluent:$i]:
% 90.89/16.78 ( ( ( happens @ Event @ Time ) &
% 90.89/16.78 ( ( initiates @ Event @ Fluent @ Time ) |
% 90.89/16.78 ( terminates @ Event @ Fluent @ Time ) ) ) =>
% 90.89/16.78 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 90.89/16.78 thf(zip_derived_cl24, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.89/16.78 (~ (happens @ X0 @ X1)
% 90.89/16.78 | ~ (initiates @ X0 @ X2 @ X1)
% 90.89/16.78 | ~ (releasedAt @ X2 @ (plus @ X1 @ n1)))),
% 90.89/16.78 inference('cnf', [status(esa)], [happens_not_released])).
% 90.89/16.78 thf(zip_derived_cl148, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 (~ (happens @ X1 @ n0)
% 90.89/16.78 | ~ (initiates @ X1 @ X0 @ n0)
% 90.89/16.78 | ~ (releasedAt @ X0 @ n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl24])).
% 90.89/16.78 thf(zip_derived_cl581, plain,
% 90.89/16.78 (![X0 : $i]: (~ (initiates @ tapOn @ X0 @ n0) | ~ (releasedAt @ X0 @ n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl148])).
% 90.89/16.78 thf(zip_derived_cl4899, plain,
% 90.89/16.78 (( (happens @ overflow @ n1) | ~ (initiates @ tapOn @ filling @ n0))),
% 90.89/16.78 inference('s_sup-', [status(thm)],
% 90.89/16.78 [zip_derived_cl4892, zip_derived_cl581])).
% 90.89/16.78 thf(zip_derived_cl226, plain,
% 90.89/16.78 (![X0 : $i]: (initiates @ tapOn @ filling @ X0)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl40])).
% 90.89/16.78 thf(zip_derived_cl4906, plain, ( (happens @ overflow @ n1)),
% 90.89/16.78 inference('demod', [status(thm)], [zip_derived_cl4899, zip_derived_cl226])).
% 90.89/16.78 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 90.89/16.78 inference('cnf', [status(esa)], [plus1_1])).
% 90.89/16.78 thf(zip_derived_cl23, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.89/16.78 (~ (happens @ X0 @ X1)
% 90.89/16.78 | ~ (terminates @ X0 @ X2 @ X1)
% 90.89/16.78 | ~ (releasedAt @ X2 @ (plus @ X1 @ n1)))),
% 90.89/16.78 inference('cnf', [status(esa)], [happens_not_released])).
% 90.89/16.78 thf(zip_derived_cl145, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 (~ (happens @ X1 @ n1)
% 90.89/16.78 | ~ (terminates @ X1 @ X0 @ n1)
% 90.89/16.78 | ~ (releasedAt @ X0 @ n2))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl23])).
% 90.89/16.78 thf(zip_derived_cl4909, plain,
% 90.89/16.78 (![X0 : $i]:
% 90.89/16.78 (~ (terminates @ overflow @ X0 @ n1) | ~ (releasedAt @ X0 @ n2))),
% 90.89/16.78 inference('s_sup-', [status(thm)],
% 90.89/16.78 [zip_derived_cl4906, zip_derived_cl145])).
% 90.89/16.78 thf(zip_derived_cl4919, plain,
% 90.89/16.78 (( (holdsAt @ (waterLevel @ n3) @ n1)
% 90.89/16.78 | ~ (terminates @ overflow @ filling @ n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)],
% 90.89/16.78 [zip_derived_cl1223, zip_derived_cl4909])).
% 90.89/16.78 thf(zip_derived_cl49, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.89/16.78 ( (terminates @ X0 @ X1 @ X2)
% 90.89/16.78 | ((X0) != (overflow))
% 90.89/16.78 | ((X1) != (filling)))),
% 90.89/16.78 inference('cnf', [status(esa)], [terminates_all_defn])).
% 90.89/16.78 thf(zip_derived_cl170, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]:
% 90.89/16.78 (((X0) != (filling)) | (terminates @ overflow @ X0 @ X1))),
% 90.89/16.78 inference('eq_res', [status(thm)], [zip_derived_cl49])).
% 90.89/16.78 thf(zip_derived_cl632, plain,
% 90.89/16.78 (![X0 : $i]: (terminates @ overflow @ filling @ X0)),
% 90.89/16.78 inference('eq_res', [status(thm)], [zip_derived_cl170])).
% 90.89/16.78 thf(zip_derived_cl4920, plain, ( (holdsAt @ (waterLevel @ n3) @ n1)),
% 90.89/16.78 inference('demod', [status(thm)], [zip_derived_cl4919, zip_derived_cl632])).
% 90.89/16.78 thf(same_waterLevel, axiom,
% 90.89/16.78 (![Time:$i,Height1:$i,Height2:$i]:
% 90.89/16.78 ( ( ( holdsAt @ ( waterLevel @ Height1 ) @ Time ) &
% 90.89/16.78 ( holdsAt @ ( waterLevel @ Height2 ) @ Time ) ) =>
% 90.89/16.78 ( ( Height1 ) = ( Height2 ) ) ))).
% 90.89/16.78 thf(zip_derived_cl64, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.89/16.78 (~ (holdsAt @ (waterLevel @ X0) @ X1)
% 90.89/16.78 | ~ (holdsAt @ (waterLevel @ X2) @ X1)
% 90.89/16.78 | ((X0) = (X2)))),
% 90.89/16.78 inference('cnf', [status(esa)], [same_waterLevel])).
% 90.89/16.78 thf(zip_derived_cl4933, plain,
% 90.89/16.78 (![X0 : $i]: (~ (holdsAt @ (waterLevel @ X0) @ n1) | ((n3) = (X0)))),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl4920, zip_derived_cl64])).
% 90.89/16.78 thf(zip_derived_cl81049, plain, (((n3) = (n1))),
% 90.89/16.78 inference('s_sup-', [status(thm)],
% 90.89/16.78 [zip_derived_cl81033, zip_derived_cl4933])).
% 90.89/16.78 thf(zip_derived_cl132, plain, (![X0 : $i]: (less_or_equal @ X0 @ X0)),
% 90.89/16.78 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 90.89/16.78 thf(less2, axiom,
% 90.89/16.78 (![X:$i]: ( ( less @ X @ n2 ) <=> ( less_or_equal @ X @ n1 ) ))).
% 90.89/16.78 thf(zip_derived_cl91, plain,
% 90.89/16.78 (![X0 : $i]: ( (less @ X0 @ n2) | ~ (less_or_equal @ X0 @ n1))),
% 90.89/16.78 inference('cnf', [status(esa)], [less2])).
% 90.89/16.78 thf(zip_derived_cl159, plain, ( (less @ n1 @ n2)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl91])).
% 90.89/16.78 thf(zip_derived_cl106, plain,
% 90.89/16.78 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 90.89/16.78 inference('cnf', [status(esa)], [less_property])).
% 90.89/16.78 thf(zip_derived_cl162, plain, (~ (less @ n2 @ n1)),
% 90.89/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl106])).
% 90.89/16.78 thf(zip_derived_cl81066, plain, ($false),
% 90.89/16.78 inference('demod', [status(thm)],
% 90.89/16.78 [zip_derived_cl167, zip_derived_cl81049, zip_derived_cl162])).
% 90.89/16.78
% 90.89/16.78 % SZS output end Refutation
% 90.89/16.78
% 90.89/16.78
% 90.89/16.78 % Terminating...
% 91.28/16.86 % Runner terminated.
% 91.28/16.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------