%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CSR001+2 : 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.SRxzmarkeX true
% Computer : n023.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 04:30:49 PM UTC 2025
% Result : Theorem 139.99s 20.61s
% Output : Refutation 139.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR001+2 : TPTP v9.2.0. Bugfixed v3.1.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SRxzmarkeX true
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 14:48:08 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 139.99/20.61 % Solved by fo/fo6_bce.sh.
% 139.99/20.61 % BCE start: 117
% 139.99/20.61 % BCE eliminated: 1
% 139.99/20.61 % PE start: 116
% 139.99/20.61 logic: eq
% 139.99/20.61 % PE eliminated: 2
% 139.99/20.61 % done 12695 iterations in 19.853s
% 139.99/20.61 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 139.99/20.61 % SZS output start Refutation
% 139.99/20.61 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 139.99/20.61 thf(waterLevel_type, type, waterLevel: $i > $i).
% 139.99/20.61 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 139.99/20.61 thf(sk__4_type, type, sk__4: $i > $i > $i).
% 139.99/20.61 thf(n3_type, type, n3: $i).
% 139.99/20.61 thf(tapOn_type, type, tapOn: $i).
% 139.99/20.61 thf(spilling_type, type, spilling: $i).
% 139.99/20.61 thf(releases_type, type, releases: $i > $i > $i > $o).
% 139.99/20.61 thf(initiates_type, type, initiates: $i > $i > $i > $o).
% 139.99/20.61 thf(happens_type, type, happens: $i > $i > $o).
% 139.99/20.61 thf(n1_type, type, n1: $i).
% 139.99/20.61 thf(filling_type, type, filling: $i).
% 139.99/20.61 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 139.99/20.61 thf(sk__1_type, type, sk__1: $i > $i > $i > $i).
% 139.99/20.61 thf(sk__10_type, type, sk__10: $i > $i).
% 139.99/20.61 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 139.99/20.61 thf(sk__5_type, type, sk__5: $i > $i > $i).
% 139.99/20.61 thf(sk__type, type, sk_: $i > $i > $i > $i).
% 139.99/20.61 thf(trajectory_type, type, trajectory: $i > $i > $i > $i > $o).
% 139.99/20.61 thf(sk__6_type, type, sk__6: $i > $i > $i).
% 139.99/20.61 thf(n2_type, type, n2: $i).
% 139.99/20.61 thf(overflow_type, type, overflow: $i).
% 139.99/20.61 thf(releasedAt_type, type, releasedAt: $i > $i > $o).
% 139.99/20.61 thf(sk__7_type, type, sk__7: $i > $i > $i).
% 139.99/20.61 thf(less_type, type, less: $i > $i > $o).
% 139.99/20.61 thf(plus_type, type, plus: $i > $i > $i).
% 139.99/20.61 thf(stoppedIn_type, type, stoppedIn: $i > $i > $i > $o).
% 139.99/20.61 thf(n4_type, type, n4: $i).
% 139.99/20.61 thf(holdsAt_type, type, holdsAt: $i > $i > $o).
% 139.99/20.61 thf(n0_type, type, n0: $i).
% 139.99/20.61 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $o).
% 139.99/20.61 thf(terminates_type, type, terminates: $i > $i > $i > $o).
% 139.99/20.61 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 139.99/20.61 thf(tapOff_type, type, tapOff: $i).
% 139.99/20.61 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 139.99/20.61 thf(plus1_3, axiom, (( plus @ n1 @ n3 ) = ( n4 ))).
% 139.99/20.61 thf(zip_derived_cl79, plain, (((plus @ n1 @ n3) = (n4))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_3])).
% 139.99/20.61 thf(symmetry_of_plus, axiom,
% 139.99/20.61 (![X:$i,Y:$i]: ( ( plus @ X @ Y ) = ( plus @ Y @ X ) ))).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(initiates_all_defn, axiom,
% 139.99/20.61 (![Event:$i,Fluent:$i,Time:$i]:
% 139.99/20.61 ( ( initiates @ Event @ Fluent @ Time ) <=>
% 139.99/20.61 ( ( ?[Height:$i]:
% 139.99/20.61 ( ( holdsAt @ ( waterLevel @ Height ) @ Time ) &
% 139.99/20.61 ( ( Event ) = ( overflow ) ) &
% 139.99/20.61 ( ( Fluent ) = ( waterLevel @ Height ) ) ) ) |
% 139.99/20.61 ( ?[Height:$i]:
% 139.99/20.61 ( ( holdsAt @ ( waterLevel @ Height ) @ Time ) &
% 139.99/20.61 ( ( Event ) = ( tapOff ) ) &
% 139.99/20.61 ( ( Fluent ) = ( waterLevel @ Height ) ) ) ) |
% 139.99/20.61 ( ( ( Fluent ) = ( spilling ) ) & ( ( Event ) = ( overflow ) ) ) |
% 139.99/20.61 ( ( ( Fluent ) = ( filling ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 139.99/20.61 thf(zf_stmt_0, axiom,
% 139.99/20.61 (![Height:$i,Time:$i,Fluent:$i,Event:$i]:
% 139.99/20.61 ( ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) <=>
% 139.99/20.61 ( ( ( Fluent ) = ( waterLevel @ Height ) ) &
% 139.99/20.61 ( ( Event ) = ( overflow ) ) &
% 139.99/20.61 ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ))).
% 139.99/20.61 thf(zip_derived_cl28, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3)
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ X0) @ X1)
% 139.99/20.61 | ((X3) != (overflow))
% 139.99/20.61 | ((X2) != (waterLevel @ X0)))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 139.99/20.61 thf(zf_stmt_1, type, zip_tseitin_3 : $i > $i > $o).
% 139.99/20.61 thf(zf_stmt_2, axiom,
% 139.99/20.61 (![Fluent:$i,Event:$i]:
% 139.99/20.61 ( ( zip_tseitin_3 @ Fluent @ Event ) <=>
% 139.99/20.61 ( ( ( Event ) = ( tapOn ) ) & ( ( Fluent ) = ( filling ) ) ) ))).
% 139.99/20.61 thf(zf_stmt_3, type, zip_tseitin_2 : $i > $i > $o).
% 139.99/20.61 thf(zf_stmt_4, axiom,
% 139.99/20.61 (![Fluent:$i,Event:$i]:
% 139.99/20.61 ( ( zip_tseitin_2 @ Fluent @ Event ) <=>
% 139.99/20.61 ( ( ( Event ) = ( overflow ) ) & ( ( Fluent ) = ( spilling ) ) ) ))).
% 139.99/20.61 thf(zf_stmt_5, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 139.99/20.61 thf(zf_stmt_6, axiom,
% 139.99/20.61 (![Height:$i,Time:$i,Fluent:$i,Event:$i]:
% 139.99/20.61 ( ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event ) <=>
% 139.99/20.61 ( ( ( Fluent ) = ( waterLevel @ Height ) ) &
% 139.99/20.61 ( ( Event ) = ( tapOff ) ) &
% 139.99/20.61 ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ))).
% 139.99/20.61 thf(zf_stmt_7, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 139.99/20.61 thf(zf_stmt_8, axiom,
% 139.99/20.61 (![Event:$i,Fluent:$i,Time:$i]:
% 139.99/20.61 ( ( initiates @ Event @ Fluent @ Time ) <=>
% 139.99/20.61 ( ( zip_tseitin_3 @ Fluent @ Event ) |
% 139.99/20.61 ( zip_tseitin_2 @ Fluent @ Event ) |
% 139.99/20.61 ( ?[Height:$i]: ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event ) ) |
% 139.99/20.61 ( ?[Height:$i]: ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) ) ) ))).
% 139.99/20.61 thf(zip_derived_cl43, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 ( (initiates @ X0 @ X1 @ X2) | ~ (zip_tseitin_0 @ X3 @ X2 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_8])).
% 139.99/20.61 thf(zip_derived_cl769, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (((X1) != (waterLevel @ X3))
% 139.99/20.61 | ((X0) != (overflow))
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ X3) @ X2)
% 139.99/20.61 | (initiates @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl43])).
% 139.99/20.61 thf(zip_derived_cl1444, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (initiates @ overflow @ X1 @ X0)
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ X2) @ X0)
% 139.99/20.61 | ((X1) != (waterLevel @ X2)))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl769])).
% 139.99/20.61 thf(zip_derived_cl7063, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X1) @ X0)
% 139.99/20.61 | (initiates @ overflow @ (waterLevel @ X1) @ X0))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl1444])).
% 139.99/20.61 thf(happens_holds, axiom,
% 139.99/20.61 (![Event:$i,Time:$i,Fluent:$i]:
% 139.99/20.61 ( ( ( happens @ Event @ Time ) & ( initiates @ Event @ Fluent @ Time ) ) =>
% 139.99/20.61 ( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ))).
% 139.99/20.61 thf(zip_derived_cl20, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (happens @ X0 @ X1)
% 139.99/20.61 | ~ (initiates @ X0 @ X2 @ X1)
% 139.99/20.61 | (holdsAt @ X2 @ (plus @ X1 @ n1)))),
% 139.99/20.61 inference('cnf', [status(esa)], [happens_holds])).
% 139.99/20.61 thf(zip_derived_cl9163, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X1) @ X0)
% 139.99/20.61 | ~ (happens @ overflow @ X0)
% 139.99/20.61 | (holdsAt @ (waterLevel @ X1) @ (plus @ X0 @ n1)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl7063, zip_derived_cl20])).
% 139.99/20.61 thf(zip_derived_cl16328, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X1) @ X0)
% 139.99/20.61 | ~ (happens @ overflow @ X0)
% 139.99/20.61 | (holdsAt @ (waterLevel @ X1) @ (plus @ n1 @ X0)))),
% 139.99/20.61 inference('s_sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl9163])).
% 139.99/20.61 thf(zip_derived_cl16596, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X0) @ n3)
% 139.99/20.61 | ~ (happens @ overflow @ n3)
% 139.99/20.61 | (holdsAt @ (waterLevel @ X0) @ n4))),
% 139.99/20.61 inference('s_sup+', [status(thm)],
% 139.99/20.61 [zip_derived_cl79, zip_derived_cl16328])).
% 139.99/20.61 thf(less_property, axiom,
% 139.99/20.61 (![X:$i,Y:$i]:
% 139.99/20.61 ( ( less @ X @ Y ) <=> ( ( ~( less @ Y @ X ) ) & ( ( Y ) != ( X ) ) ) ))).
% 139.99/20.61 thf(zip_derived_cl108, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(less_or_equal, axiom,
% 139.99/20.61 (![X:$i,Y:$i]:
% 139.99/20.61 ( ( less_or_equal @ X @ Y ) <=> ( ( less @ X @ Y ) | ( ( X ) = ( Y ) ) ) ))).
% 139.99/20.61 thf(zip_derived_cl86, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ((X0) != (X1)))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_or_equal])).
% 139.99/20.61 thf(less3, axiom,
% 139.99/20.61 (![X:$i]: ( ( less @ X @ n3 ) <=> ( less_or_equal @ X @ n2 ) ))).
% 139.99/20.61 thf(zip_derived_cl93, plain,
% 139.99/20.61 (![X0 : $i]: ( (less @ X0 @ n3) | ~ (less_or_equal @ X0 @ n2))),
% 139.99/20.61 inference('cnf', [status(esa)], [less3])).
% 139.99/20.61 thf(zip_derived_cl677, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n2)) | (less @ X0 @ n3))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl93])).
% 139.99/20.61 thf(zip_derived_cl85, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ~ (less @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_or_equal])).
% 139.99/20.61 thf(less4, axiom,
% 139.99/20.61 (![X:$i]: ( ( less @ X @ n4 ) <=> ( less_or_equal @ X @ n3 ) ))).
% 139.99/20.61 thf(zip_derived_cl95, plain,
% 139.99/20.61 (![X0 : $i]: ( (less @ X0 @ n4) | ~ (less_or_equal @ X0 @ n3))),
% 139.99/20.61 inference('cnf', [status(esa)], [less4])).
% 139.99/20.61 thf(zip_derived_cl669, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n3) | (less @ X0 @ n4))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl85, zip_derived_cl95])).
% 139.99/20.61 thf(zip_derived_cl106, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl912, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n3) | ~ (less @ n4 @ X0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl669, zip_derived_cl106])).
% 139.99/20.61 thf(zip_derived_cl930, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n2)) | ~ (less @ n4 @ X0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl677, zip_derived_cl912])).
% 139.99/20.61 thf(zip_derived_cl933, plain, (~ (less @ n4 @ n2)),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl930])).
% 139.99/20.61 thf(zip_derived_cl937, plain, ((((n4) = (n2)) | (less @ n2 @ n4))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl933])).
% 139.99/20.61 thf(zip_derived_cl677, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n2)) | (less @ X0 @ n3))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl93])).
% 139.99/20.61 thf(zip_derived_cl86, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ((X0) != (X1)))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_or_equal])).
% 139.99/20.61 thf(zip_derived_cl95, plain,
% 139.99/20.61 (![X0 : $i]: ( (less @ X0 @ n4) | ~ (less_or_equal @ X0 @ n3))),
% 139.99/20.61 inference('cnf', [status(esa)], [less4])).
% 139.99/20.61 thf(zip_derived_cl678, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n3)) | (less @ X0 @ n4))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl95])).
% 139.99/20.61 thf(zip_derived_cl106, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl692, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n3)) | ~ (less @ n4 @ X0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl678, zip_derived_cl106])).
% 139.99/20.61 thf(zip_derived_cl694, plain, (~ (less @ n4 @ n3)),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl692])).
% 139.99/20.61 thf(zip_derived_cl714, plain, (((n4) != (n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl677, zip_derived_cl694])).
% 139.99/20.61 thf(zip_derived_cl940, plain, ( (less @ n2 @ n4)),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl937, zip_derived_cl714])).
% 139.99/20.61 thf(keep_holding, axiom,
% 139.99/20.61 (![Fluent:$i,Time:$i]:
% 139.99/20.61 ( ( ( holdsAt @ Fluent @ Time ) &
% 139.99/20.61 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) &
% 139.99/20.61 ( ~( ?[Event:$i]:
% 139.99/20.61 ( ( terminates @ Event @ Fluent @ Time ) &
% 139.99/20.61 ( happens @ Event @ Time ) ) ) ) ) =>
% 139.99/20.61 ( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ))).
% 139.99/20.61 thf(zip_derived_cl13, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (holdsAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (terminates @ (sk__4 @ X1 @ X0) @ X0 @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | ~ (holdsAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_holding])).
% 139.99/20.61 thf(stoppedin_defn, axiom,
% 139.99/20.61 (![Time1:$i,Fluent:$i,Time2:$i]:
% 139.99/20.61 ( ( stoppedIn @ Time1 @ Fluent @ Time2 ) <=>
% 139.99/20.61 ( ?[Event:$i,Time:$i]:
% 139.99/20.61 ( ( terminates @ Event @ Fluent @ Time ) & ( less @ Time @ Time2 ) &
% 139.99/20.61 ( less @ Time1 @ Time ) & ( happens @ Event @ Time ) ) ) ))).
% 139.99/20.61 thf(zip_derived_cl4, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 139.99/20.61 ( (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | ~ (happens @ X3 @ X4)
% 139.99/20.61 | ~ (less @ X0 @ X4)
% 139.99/20.61 | ~ (less @ X4 @ X2)
% 139.99/20.61 | ~ (terminates @ X3 @ X1 @ X4))),
% 139.99/20.61 inference('cnf', [status(esa)], [stoppedin_defn])).
% 139.99/20.61 thf(zip_derived_cl688, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (~ (holdsAt @ X1 @ X0)
% 139.99/20.61 | (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | (holdsAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | (stoppedIn @ X3 @ X1 @ X2)
% 139.99/20.61 | ~ (happens @ (sk__4 @ X0 @ X1) @ X0)
% 139.99/20.61 | ~ (less @ X3 @ X0)
% 139.99/20.61 | ~ (less @ X0 @ X2))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl4])).
% 139.99/20.61 thf(zip_derived_cl12, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (holdsAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (happens @ (sk__4 @ X1 @ X0) @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | ~ (holdsAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_holding])).
% 139.99/20.61 thf(zip_derived_cl1267, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (~ (less @ X0 @ X2)
% 139.99/20.61 | ~ (less @ X3 @ X0)
% 139.99/20.61 | (stoppedIn @ X3 @ X1 @ X2)
% 139.99/20.61 | (holdsAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ~ (holdsAt @ X1 @ X0))),
% 139.99/20.61 inference('clc', [status(thm)], [zip_derived_cl688, zip_derived_cl12])).
% 139.99/20.61 thf(zip_derived_cl1296, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (less @ X0 @ n2)
% 139.99/20.61 | (stoppedIn @ X0 @ X1 @ n4)
% 139.99/20.61 | (holdsAt @ X1 @ (plus @ n2 @ n1))
% 139.99/20.61 | (releasedAt @ X1 @ (plus @ n2 @ n1))
% 139.99/20.61 | ~ (holdsAt @ X1 @ n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl940, zip_derived_cl1267])).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(plus1_2, axiom, (( plus @ n1 @ n2 ) = ( n3 ))).
% 139.99/20.61 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_2])).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_2])).
% 139.99/20.61 thf(zip_derived_cl1311, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (less @ X0 @ n2)
% 139.99/20.61 | (stoppedIn @ X0 @ X1 @ n4)
% 139.99/20.61 | (holdsAt @ X1 @ n3)
% 139.99/20.61 | (releasedAt @ X1 @ n3)
% 139.99/20.61 | ~ (holdsAt @ X1 @ n2))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl1296, zip_derived_cl83, zip_derived_cl78,
% 139.99/20.61 zip_derived_cl83, zip_derived_cl78])).
% 139.99/20.61 thf(zip_derived_cl1311, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (less @ X0 @ n2)
% 139.99/20.61 | (stoppedIn @ X0 @ X1 @ n4)
% 139.99/20.61 | (holdsAt @ X1 @ n3)
% 139.99/20.61 | (releasedAt @ X1 @ n3)
% 139.99/20.61 | ~ (holdsAt @ X1 @ n2))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl1296, zip_derived_cl83, zip_derived_cl78,
% 139.99/20.61 zip_derived_cl83, zip_derived_cl78])).
% 139.99/20.61 thf(zip_derived_cl108, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl108, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(less2, axiom,
% 139.99/20.61 (![X:$i]: ( ( less @ X @ n2 ) <=> ( less_or_equal @ X @ n1 ) ))).
% 139.99/20.61 thf(zip_derived_cl90, plain,
% 139.99/20.61 (![X0 : $i]: ( (less_or_equal @ X0 @ n1) | ~ (less @ X0 @ n2))),
% 139.99/20.61 inference('cnf', [status(esa)], [less2])).
% 139.99/20.61 thf(zip_derived_cl84, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_or_equal])).
% 139.99/20.61 thf(zip_derived_cl658, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n2) | (less @ X0 @ n1) | ((X0) = (n1)))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl90, zip_derived_cl84])).
% 139.99/20.61 thf(zip_derived_cl1048, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (((X0) = (n2)) | (less @ n2 @ X0) | (less @ X0 @ n1) | ((X0) = (n1)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl658])).
% 139.99/20.61 thf(less1, axiom,
% 139.99/20.61 (![X:$i]: ( ( less @ X @ n1 ) <=> ( less_or_equal @ X @ n0 ) ))).
% 139.99/20.61 thf(zip_derived_cl88, plain,
% 139.99/20.61 (![X0 : $i]: ( (less_or_equal @ X0 @ n0) | ~ (less @ X0 @ n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [less1])).
% 139.99/20.61 thf(zip_derived_cl84, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_or_equal])).
% 139.99/20.61 thf(zip_derived_cl657, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n1) | (less @ X0 @ n0) | ((X0) = (n0)))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl88, zip_derived_cl84])).
% 139.99/20.61 thf(less0, axiom, (~( ?[X:$i]: ( less @ X @ n0 ) ))).
% 139.99/20.61 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 139.99/20.61 inference('cnf', [status(esa)], [less0])).
% 139.99/20.61 thf(zip_derived_cl1035, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n1) | ((X0) = (n0)))),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl657, zip_derived_cl87])).
% 139.99/20.61 thf(zip_derived_cl3078, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (((X0) = (n1)) | (less @ n2 @ X0) | ((X0) = (n2)) | ((X0) = (n0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1048, zip_derived_cl1035])).
% 139.99/20.61 thf(zip_derived_cl92, plain,
% 139.99/20.61 (![X0 : $i]: ( (less_or_equal @ X0 @ n2) | ~ (less @ X0 @ n3))),
% 139.99/20.61 inference('cnf', [status(esa)], [less3])).
% 139.99/20.61 thf(zip_derived_cl84, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_or_equal])).
% 139.99/20.61 thf(zip_derived_cl659, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n3) | (less @ X0 @ n2) | ((X0) = (n2)))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl92, zip_derived_cl84])).
% 139.99/20.61 thf(zip_derived_cl106, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl1061, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) = (n2)) | ~ (less @ X0 @ n3) | ~ (less @ n2 @ X0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl659, zip_derived_cl106])).
% 139.99/20.61 thf(zip_derived_cl107, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl2764, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ n2 @ X0) | ~ (less @ X0 @ n3))),
% 139.99/20.61 inference('clc', [status(thm)], [zip_derived_cl1061, zip_derived_cl107])).
% 139.99/20.61 thf(zip_derived_cl21234, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (((X0) = (n0)) | ((X0) = (n2)) | ((X0) = (n1)) | ~ (less @ X0 @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl3078, zip_derived_cl2764])).
% 139.99/20.61 thf(zip_derived_cl21493, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (((X0) = (n3))
% 139.99/20.61 | (less @ n3 @ X0)
% 139.99/20.61 | ((X0) = (n0))
% 139.99/20.61 | ((X0) = (n2))
% 139.99/20.61 | ((X0) = (n1)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl108, zip_derived_cl21234])).
% 139.99/20.61 thf(plus0_1, axiom, (( plus @ n0 @ n1 ) = ( n1 ))).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(keep_not_holding, axiom,
% 139.99/20.61 (![Fluent:$i,Time:$i]:
% 139.99/20.61 ( ( ( ~( holdsAt @ Fluent @ Time ) ) &
% 139.99/20.61 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) &
% 139.99/20.61 ( ~( ?[Event:$i]:
% 139.99/20.61 ( ( initiates @ Event @ Fluent @ Time ) &
% 139.99/20.61 ( happens @ Event @ Time ) ) ) ) ) =>
% 139.99/20.61 ( ~( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 139.99/20.61 thf(zip_derived_cl14, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (happens @ (sk__5 @ X1 @ X0) @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (holdsAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_not_holding])).
% 139.99/20.61 thf(happens_all_defn, axiom,
% 139.99/20.61 (![Event:$i,Time:$i]:
% 139.99/20.61 ( ( happens @ Event @ Time ) <=>
% 139.99/20.61 ( ( ( ( Event ) = ( overflow ) ) & ( holdsAt @ filling @ Time ) &
% 139.99/20.61 ( holdsAt @ ( waterLevel @ n3 ) @ Time ) ) |
% 139.99/20.61 ( ( ( Time ) = ( n0 ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 139.99/20.61 thf(zf_stmt_9, type, zip_tseitin_5 : $i > $i > $o).
% 139.99/20.61 thf(zf_stmt_10, axiom,
% 139.99/20.61 (![Time:$i,Event:$i]:
% 139.99/20.61 ( ( zip_tseitin_5 @ Time @ Event ) <=>
% 139.99/20.61 ( ( ( Event ) = ( tapOn ) ) & ( ( Time ) = ( n0 ) ) ) ))).
% 139.99/20.61 thf(zf_stmt_11, type, zip_tseitin_4 : $i > $i > $o).
% 139.99/20.61 thf(zf_stmt_12, axiom,
% 139.99/20.61 (![Time:$i,Event:$i]:
% 139.99/20.61 ( ( zip_tseitin_4 @ Time @ Event ) <=>
% 139.99/20.61 ( ( holdsAt @ ( waterLevel @ n3 ) @ Time ) &
% 139.99/20.61 ( holdsAt @ filling @ Time ) & ( ( Event ) = ( overflow ) ) ) ))).
% 139.99/20.61 thf(zf_stmt_13, axiom,
% 139.99/20.61 (![Event:$i,Time:$i]:
% 139.99/20.61 ( ( happens @ Event @ Time ) <=>
% 139.99/20.61 ( ( zip_tseitin_5 @ Time @ Event ) | ( zip_tseitin_4 @ Time @ Event ) ) ))).
% 139.99/20.61 thf(zip_derived_cl60, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (zip_tseitin_4 @ X0 @ X1)
% 139.99/20.61 | (zip_tseitin_5 @ X0 @ X1)
% 139.99/20.61 | ~ (happens @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_13])).
% 139.99/20.61 thf(zip_derived_cl57, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (((X0) = (tapOn)) | ~ (zip_tseitin_5 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_10])).
% 139.99/20.61 thf(zip_derived_cl577, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (happens @ X0 @ X1) | (zip_tseitin_4 @ X1 @ X0) | ((X0) = (tapOn)))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl60, zip_derived_cl57])).
% 139.99/20.61 thf(zip_derived_cl55, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (((X0) = (overflow)) | ~ (zip_tseitin_4 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 139.99/20.61 thf(zip_derived_cl883, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X0) = (tapOn)) | ~ (happens @ X0 @ X1) | ((X0) = (overflow)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl577, zip_derived_cl55])).
% 139.99/20.61 thf(zip_derived_cl1102, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (holdsAt @ X1 @ X0)
% 139.99/20.61 | (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ~ (holdsAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ((sk__5 @ X0 @ X1) = (tapOn))
% 139.99/20.61 | ((sk__5 @ X0 @ X1) = (overflow)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl883])).
% 139.99/20.61 thf(terminates_all_defn, axiom,
% 139.99/20.61 (![Event:$i,Fluent:$i,Time:$i]:
% 139.99/20.61 ( ( terminates @ Event @ Fluent @ Time ) <=>
% 139.99/20.61 ( ( ( ( Event ) = ( tapOff ) ) & ( ( Fluent ) = ( filling ) ) ) |
% 139.99/20.61 ( ( ( Event ) = ( overflow ) ) & ( ( Fluent ) = ( filling ) ) ) ) ))).
% 139.99/20.61 thf(zip_derived_cl49, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (terminates @ X0 @ X1 @ X2)
% 139.99/20.61 | ((X0) != (overflow))
% 139.99/20.61 | ((X1) != (filling)))),
% 139.99/20.61 inference('cnf', [status(esa)], [terminates_all_defn])).
% 139.99/20.61 thf(zip_derived_cl59, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (zip_tseitin_5 @ X0 @ X1) | ((X0) != (n0)) | ((X1) != (tapOn)))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_10])).
% 139.99/20.61 thf(zip_derived_cl61, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (happens @ X0 @ X1) | ~ (zip_tseitin_5 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_13])).
% 139.99/20.61 thf(zip_derived_cl579, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X0) != (tapOn)) | ((X1) != (n0)) | (happens @ X0 @ X1))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl59, zip_derived_cl61])).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(releases_all_defn, axiom,
% 139.99/20.61 (![Event:$i,Fluent:$i,Time:$i]:
% 139.99/20.61 ( ( releases @ Event @ Fluent @ Time ) <=>
% 139.99/20.61 ( ?[Height:$i]:
% 139.99/20.61 ( ( ( Fluent ) = ( waterLevel @ Height ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 139.99/20.61 thf(zip_derived_cl52, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 ( (releases @ X0 @ X1 @ X2)
% 139.99/20.61 | ((X1) != (waterLevel @ X3))
% 139.99/20.61 | ((X0) != (tapOn)))),
% 139.99/20.61 inference('cnf', [status(esa)], [releases_all_defn])).
% 139.99/20.61 thf(happens_releases, axiom,
% 139.99/20.61 (![Event:$i,Time:$i,Fluent:$i]:
% 139.99/20.61 ( ( ( happens @ Event @ Time ) & ( releases @ Event @ Fluent @ Time ) ) =>
% 139.99/20.61 ( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ))).
% 139.99/20.61 thf(zip_derived_cl22, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (happens @ X0 @ X1)
% 139.99/20.61 | ~ (releases @ X0 @ X2 @ X1)
% 139.99/20.61 | (releasedAt @ X2 @ (plus @ X1 @ n1)))),
% 139.99/20.61 inference('cnf', [status(esa)], [happens_releases])).
% 139.99/20.61 thf(zip_derived_cl586, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (((X2) != (tapOn))
% 139.99/20.61 | ((X1) != (waterLevel @ X3))
% 139.99/20.61 | (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ~ (happens @ X2 @ X0))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl52, zip_derived_cl22])).
% 139.99/20.61 thf(zip_derived_cl917, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (happens @ tapOn @ X0)
% 139.99/20.61 | (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ((X1) != (waterLevel @ X2)))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl586])).
% 139.99/20.61 thf(zip_derived_cl1874, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ (waterLevel @ X1) @ (plus @ X0 @ n1))
% 139.99/20.61 | ~ (happens @ tapOn @ X0))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl917])).
% 139.99/20.61 thf(zip_derived_cl9326, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (releasedAt @ (waterLevel @ X0) @ n1) | ~ (happens @ tapOn @ n0))),
% 139.99/20.61 inference('s_sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl1874])).
% 139.99/20.61 thf(zip_derived_cl9442, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (((n0) != (n0))
% 139.99/20.61 | ((tapOn) != (tapOn))
% 139.99/20.61 | (releasedAt @ (waterLevel @ X0) @ n1))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl579, zip_derived_cl9326])).
% 139.99/20.61 thf(zip_derived_cl9443, plain,
% 139.99/20.61 (![X0 : $i]: (releasedAt @ (waterLevel @ X0) @ n1)),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl9442])).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(keep_not_released, axiom,
% 139.99/20.61 (![Fluent:$i,Time:$i]:
% 139.99/20.61 ( ( ( ~( releasedAt @ Fluent @ Time ) ) &
% 139.99/20.61 ( ~( ?[Event:$i]:
% 139.99/20.61 ( ( releases @ Event @ Fluent @ Time ) &
% 139.99/20.61 ( happens @ Event @ Time ) ) ) ) ) =>
% 139.99/20.61 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 139.99/20.61 thf(zip_derived_cl19, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (releases @ (sk__7 @ X1 @ X0) @ X0 @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_not_released])).
% 139.99/20.61 thf(zip_derived_cl50, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (((X0) = (tapOn)) | ~ (releases @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('cnf', [status(esa)], [releases_all_defn])).
% 139.99/20.61 thf(zip_derived_cl584, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ X1 @ X0)
% 139.99/20.61 | ~ (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ((sk__7 @ X0 @ X1) = (tapOn)))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl19, zip_derived_cl50])).
% 139.99/20.61 thf(zip_derived_cl18, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (happens @ (sk__7 @ X1 @ X0) @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_not_released])).
% 139.99/20.61 thf(zip_derived_cl899, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | (releasedAt @ X1 @ X0)
% 139.99/20.61 | ~ (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | (happens @ tapOn @ X0)
% 139.99/20.61 | (releasedAt @ X1 @ X0))),
% 139.99/20.61 inference('s_sup+', [status(thm)], [zip_derived_cl584, zip_derived_cl18])).
% 139.99/20.61 thf(zip_derived_cl900, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (happens @ tapOn @ X0)
% 139.99/20.61 | (releasedAt @ X1 @ X0)
% 139.99/20.61 | ~ (releasedAt @ X1 @ (plus @ X0 @ n1)))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl899])).
% 139.99/20.61 thf(zip_derived_cl1783, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (happens @ tapOn @ n0)
% 139.99/20.61 | (releasedAt @ X0 @ n0)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n1))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl900])).
% 139.99/20.61 thf(zip_derived_cl9457, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (happens @ tapOn @ n0) | (releasedAt @ (waterLevel @ X0) @ n0))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl9443, zip_derived_cl1783])).
% 139.99/20.61 thf(not_released_waterLevel_0, axiom,
% 139.99/20.61 (![Height:$i]: ( ~( releasedAt @ ( waterLevel @ Height ) @ n0 ) ))).
% 139.99/20.61 thf(zip_derived_cl112, plain,
% 139.99/20.61 (![X0 : $i]: ~ (releasedAt @ (waterLevel @ X0) @ n0)),
% 139.99/20.61 inference('cnf', [status(esa)], [not_released_waterLevel_0])).
% 139.99/20.61 thf(zip_derived_cl9530, plain, ( (happens @ tapOn @ n0)),
% 139.99/20.61 inference('clc', [status(thm)], [zip_derived_cl9457, zip_derived_cl112])).
% 139.99/20.61 thf(zip_derived_cl38, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (zip_tseitin_3 @ X0 @ X1) | ((X0) != (filling)) | ((X1) != (tapOn)))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_2])).
% 139.99/20.61 thf(zip_derived_cl40, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (initiates @ X0 @ X1 @ X2) | ~ (zip_tseitin_3 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_8])).
% 139.99/20.61 thf(zip_derived_cl597, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (((X0) != (tapOn)) | ((X1) != (filling)) | (initiates @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl38, zip_derived_cl40])).
% 139.99/20.61 thf(zip_derived_cl20, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (happens @ X0 @ X1)
% 139.99/20.61 | ~ (initiates @ X0 @ X2 @ X1)
% 139.99/20.61 | (holdsAt @ X2 @ (plus @ X1 @ n1)))),
% 139.99/20.61 inference('cnf', [status(esa)], [happens_holds])).
% 139.99/20.61 thf(zip_derived_cl1027, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (((X1) != (filling))
% 139.99/20.61 | ((X2) != (tapOn))
% 139.99/20.61 | ~ (happens @ X2 @ X0)
% 139.99/20.61 | (holdsAt @ X1 @ (plus @ X0 @ n1)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl597, zip_derived_cl20])).
% 139.99/20.61 thf(zip_derived_cl2913, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (holdsAt @ filling @ (plus @ X0 @ n1))
% 139.99/20.61 | ~ (happens @ X1 @ X0)
% 139.99/20.61 | ((X1) != (tapOn)))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl1027])).
% 139.99/20.61 thf(zip_derived_cl12678, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (happens @ tapOn @ X0) | (holdsAt @ filling @ (plus @ X0 @ n1)))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl2913])).
% 139.99/20.61 thf(zip_derived_cl12681, plain, ( (holdsAt @ filling @ (plus @ n0 @ n1))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl9530, zip_derived_cl12678])).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(zip_derived_cl12683, plain, ( (holdsAt @ filling @ n1)),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl12681, zip_derived_cl74])).
% 139.99/20.61 thf(zip_derived_cl12683, plain, ( (holdsAt @ filling @ n1)),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl12681, zip_derived_cl74])).
% 139.99/20.61 thf(zip_derived_cl14, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (happens @ (sk__5 @ X1 @ X0) @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (holdsAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_not_holding])).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(happens_terminates_not_holds, axiom,
% 139.99/20.61 (![Event:$i,Time:$i,Fluent:$i]:
% 139.99/20.61 ( ( ( happens @ Event @ Time ) & ( terminates @ Event @ Fluent @ Time ) ) =>
% 139.99/20.61 ( ~( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 139.99/20.61 thf(zip_derived_cl21, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (happens @ X0 @ X1)
% 139.99/20.61 | ~ (terminates @ X0 @ X2 @ X1)
% 139.99/20.61 | ~ (holdsAt @ X2 @ (plus @ X1 @ n1)))),
% 139.99/20.61 inference('cnf', [status(esa)], [happens_terminates_not_holds])).
% 139.99/20.61 thf(zip_derived_cl710, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (happens @ X1 @ n0)
% 139.99/20.61 | ~ (terminates @ X1 @ X0 @ n0)
% 139.99/20.61 | ~ (holdsAt @ X0 @ n1))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl21])).
% 139.99/20.61 thf(zip_derived_cl728, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (holdsAt @ X0 @ n0)
% 139.99/20.61 | (releasedAt @ X0 @ (plus @ n0 @ n1))
% 139.99/20.61 | ~ (holdsAt @ X0 @ (plus @ n0 @ n1))
% 139.99/20.61 | ~ (terminates @ (sk__5 @ n0 @ X0) @ X1 @ n0)
% 139.99/20.61 | ~ (holdsAt @ X1 @ n1))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl710])).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(zip_derived_cl732, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (holdsAt @ X0 @ n0)
% 139.99/20.61 | (releasedAt @ X0 @ n1)
% 139.99/20.61 | ~ (holdsAt @ X0 @ n1)
% 139.99/20.61 | ~ (terminates @ (sk__5 @ n0 @ X0) @ X1 @ n0)
% 139.99/20.61 | ~ (holdsAt @ X1 @ n1))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl728, zip_derived_cl74, zip_derived_cl74])).
% 139.99/20.61 thf(zip_derived_cl12685, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (holdsAt @ filling @ n0)
% 139.99/20.61 | (releasedAt @ filling @ n1)
% 139.99/20.61 | ~ (terminates @ (sk__5 @ n0 @ filling) @ X0 @ n0)
% 139.99/20.61 | ~ (holdsAt @ X0 @ n1))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl12683, zip_derived_cl732])).
% 139.99/20.61 thf(not_filling_0, axiom, (~( holdsAt @ filling @ n0 ))).
% 139.99/20.61 thf(zip_derived_cl110, plain, (~ (holdsAt @ filling @ n0)),
% 139.99/20.61 inference('cnf', [status(esa)], [not_filling_0])).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(zip_derived_cl19, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (releases @ (sk__7 @ X1 @ X0) @ X0 @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_not_released])).
% 139.99/20.61 thf(zip_derived_cl51, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (((X0) = (waterLevel @ (sk__10 @ X0))) | ~ (releases @ X1 @ X0 @ X2))),
% 139.99/20.61 inference('cnf', [status(esa)], [releases_all_defn])).
% 139.99/20.61 thf(zip_derived_cl585, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ X1 @ X0)
% 139.99/20.61 | ~ (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ((X1) = (waterLevel @ (sk__10 @ X1))))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl19, zip_derived_cl51])).
% 139.99/20.61 thf(zip_derived_cl909, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (releasedAt @ X0 @ n0)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n1)
% 139.99/20.61 | ((X0) = (waterLevel @ (sk__10 @ X0))))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl585])).
% 139.99/20.61 thf(filling_not_waterLevel, axiom,
% 139.99/20.61 (![X:$i]: ( ( filling ) != ( waterLevel @ X ) ))).
% 139.99/20.61 thf(zip_derived_cl68, plain, (![X0 : $i]: ((filling) != (waterLevel @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [filling_not_waterLevel])).
% 139.99/20.61 thf(zip_derived_cl1820, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (releasedAt @ X0 @ n1)
% 139.99/20.61 | (releasedAt @ X0 @ n0)
% 139.99/20.61 | ((filling) != (X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl909, zip_derived_cl68])).
% 139.99/20.61 thf(zip_derived_cl9285, plain,
% 139.99/20.61 (( (releasedAt @ filling @ n0) | ~ (releasedAt @ filling @ n1))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl1820])).
% 139.99/20.61 thf(not_released_filling_0, axiom, (~( releasedAt @ filling @ n0 ))).
% 139.99/20.61 thf(zip_derived_cl113, plain, (~ (releasedAt @ filling @ n0)),
% 139.99/20.61 inference('cnf', [status(esa)], [not_released_filling_0])).
% 139.99/20.61 thf(zip_derived_cl9286, plain, (~ (releasedAt @ filling @ n1)),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl9285, zip_derived_cl113])).
% 139.99/20.61 thf(zip_derived_cl12697, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (terminates @ (sk__5 @ n0 @ filling) @ X0 @ n0)
% 139.99/20.61 | ~ (holdsAt @ X0 @ n1))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl12685, zip_derived_cl110, zip_derived_cl9286])).
% 139.99/20.61 thf(zip_derived_cl12708, plain,
% 139.99/20.61 (~ (terminates @ (sk__5 @ n0 @ filling) @ filling @ n0)),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl12683, zip_derived_cl12697])).
% 139.99/20.61 thf(zip_derived_cl12761, plain,
% 139.99/20.61 ((((filling) != (filling)) | ((sk__5 @ n0 @ filling) != (overflow)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl49, zip_derived_cl12708])).
% 139.99/20.61 thf(zip_derived_cl12767, plain, (((sk__5 @ n0 @ filling) != (overflow))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl12761])).
% 139.99/20.61 thf(zip_derived_cl12826, plain,
% 139.99/20.61 ((((sk__5 @ n0 @ filling) = (tapOn))
% 139.99/20.61 | ~ (holdsAt @ filling @ (plus @ n0 @ n1))
% 139.99/20.61 | (releasedAt @ filling @ (plus @ n0 @ n1))
% 139.99/20.61 | (holdsAt @ filling @ n0)
% 139.99/20.61 | ((overflow) != (overflow)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1102, zip_derived_cl12767])).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(zip_derived_cl12683, plain, ( (holdsAt @ filling @ n1)),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl12681, zip_derived_cl74])).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(zip_derived_cl9286, plain, (~ (releasedAt @ filling @ n1)),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl9285, zip_derived_cl113])).
% 139.99/20.61 thf(zip_derived_cl110, plain, (~ (holdsAt @ filling @ n0)),
% 139.99/20.61 inference('cnf', [status(esa)], [not_filling_0])).
% 139.99/20.61 thf(zip_derived_cl12830, plain,
% 139.99/20.61 ((((sk__5 @ n0 @ filling) = (tapOn)) | ((overflow) != (overflow)))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl12826, zip_derived_cl74, zip_derived_cl12683,
% 139.99/20.61 zip_derived_cl74, zip_derived_cl9286, zip_derived_cl110])).
% 139.99/20.61 thf(zip_derived_cl12831, plain, (((sk__5 @ n0 @ filling) = (tapOn))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl12830])).
% 139.99/20.61 thf(zip_derived_cl15, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (initiates @ (sk__5 @ X1 @ X0) @ X0 @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (holdsAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_not_holding])).
% 139.99/20.61 thf(zip_derived_cl12892, plain,
% 139.99/20.61 ((~ (holdsAt @ filling @ (plus @ n0 @ n1))
% 139.99/20.61 | (initiates @ tapOn @ filling @ n0)
% 139.99/20.61 | (releasedAt @ filling @ (plus @ n0 @ n1))
% 139.99/20.61 | (holdsAt @ filling @ n0))),
% 139.99/20.61 inference('s_sup+', [status(thm)],
% 139.99/20.61 [zip_derived_cl12831, zip_derived_cl15])).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(zip_derived_cl12683, plain, ( (holdsAt @ filling @ n1)),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl12681, zip_derived_cl74])).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(zip_derived_cl9286, plain, (~ (releasedAt @ filling @ n1)),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl9285, zip_derived_cl113])).
% 139.99/20.61 thf(zip_derived_cl110, plain, (~ (holdsAt @ filling @ n0)),
% 139.99/20.61 inference('cnf', [status(esa)], [not_filling_0])).
% 139.99/20.61 thf(zip_derived_cl12896, plain, ( (initiates @ tapOn @ filling @ n0)),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl12892, zip_derived_cl74, zip_derived_cl12683,
% 139.99/20.61 zip_derived_cl74, zip_derived_cl9286, zip_derived_cl110])).
% 139.99/20.61 thf(zip_derived_cl86, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ((X0) != (X1)))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_or_equal])).
% 139.99/20.61 thf(zip_derived_cl89, plain,
% 139.99/20.61 (![X0 : $i]: ( (less @ X0 @ n1) | ~ (less_or_equal @ X0 @ n0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less1])).
% 139.99/20.61 thf(zip_derived_cl675, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n0)) | (less @ X0 @ n1))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl89])).
% 139.99/20.61 thf(change_of_waterLevel, axiom,
% 139.99/20.61 (![Height1:$i,Time:$i,Height2:$i,Offset:$i]:
% 139.99/20.61 ( ( ( holdsAt @ ( waterLevel @ Height1 ) @ Time ) &
% 139.99/20.61 ( ( Height2 ) = ( plus @ Height1 @ Offset ) ) ) =>
% 139.99/20.61 ( trajectory @ filling @ Time @ ( waterLevel @ Height2 ) @ Offset ) ))).
% 139.99/20.61 thf(zip_derived_cl63, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X0) @ X1)
% 139.99/20.61 | ((X3) != (plus @ X0 @ X2))
% 139.99/20.61 | (trajectory @ filling @ X1 @ (waterLevel @ X3) @ X2))),
% 139.99/20.61 inference('cnf', [status(esa)], [change_of_waterLevel])).
% 139.99/20.61 thf(change_holding, axiom,
% 139.99/20.61 (![Event:$i,Time:$i,Fluent:$i,Fluent2:$i,Offset:$i]:
% 139.99/20.61 ( ( ( happens @ Event @ Time ) & ( initiates @ Event @ Fluent @ Time ) &
% 139.99/20.61 ( less @ n0 @ Offset ) &
% 139.99/20.61 ( trajectory @ Fluent @ Time @ Fluent2 @ Offset ) &
% 139.99/20.61 ( ~( stoppedIn @ Time @ Fluent @ ( plus @ Time @ Offset ) ) ) ) =>
% 139.99/20.61 ( holdsAt @ Fluent2 @ ( plus @ Time @ Offset ) ) ))).
% 139.99/20.61 thf(zip_derived_cl10, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 139.99/20.61 (~ (initiates @ X0 @ X1 @ X2)
% 139.99/20.61 | ~ (happens @ X0 @ X2)
% 139.99/20.61 | ~ (less @ n0 @ X3)
% 139.99/20.61 | ~ (trajectory @ X1 @ X2 @ X4 @ X3)
% 139.99/20.61 | (stoppedIn @ X2 @ X1 @ (plus @ X2 @ X3))
% 139.99/20.61 | (holdsAt @ X4 @ (plus @ X2 @ X3)))),
% 139.99/20.61 inference('cnf', [status(esa)], [change_holding])).
% 139.99/20.61 thf(zip_derived_cl576, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 139.99/20.61 (((X2) != (plus @ X1 @ X3))
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ X1) @ X0)
% 139.99/20.61 | (holdsAt @ (waterLevel @ X2) @ (plus @ X0 @ X3))
% 139.99/20.61 | (stoppedIn @ X0 @ filling @ (plus @ X0 @ X3))
% 139.99/20.61 | ~ (less @ n0 @ X3)
% 139.99/20.61 | ~ (happens @ X4 @ X0)
% 139.99/20.61 | ~ (initiates @ X4 @ filling @ X0))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl63, zip_derived_cl10])).
% 139.99/20.61 thf(zip_derived_cl868, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (((n0) != (n0))
% 139.99/20.61 | ((X0) != (plus @ X1 @ n1))
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ X1) @ X2)
% 139.99/20.61 | (holdsAt @ (waterLevel @ X0) @ (plus @ X2 @ n1))
% 139.99/20.61 | (stoppedIn @ X2 @ filling @ (plus @ X2 @ n1))
% 139.99/20.61 | ~ (happens @ X3 @ X2)
% 139.99/20.61 | ~ (initiates @ X3 @ filling @ X2))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl675, zip_derived_cl576])).
% 139.99/20.61 thf(zip_derived_cl879, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (~ (initiates @ X3 @ filling @ X2)
% 139.99/20.61 | ~ (happens @ X3 @ X2)
% 139.99/20.61 | (stoppedIn @ X2 @ filling @ (plus @ X2 @ n1))
% 139.99/20.61 | (holdsAt @ (waterLevel @ X0) @ (plus @ X2 @ n1))
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ X1) @ X2)
% 139.99/20.61 | ((X0) != (plus @ X1 @ n1)))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl868])).
% 139.99/20.61 thf(zip_derived_cl1709, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X1) @ X0)
% 139.99/20.61 | (holdsAt @ (waterLevel @ (plus @ X1 @ n1)) @ (plus @ X0 @ n1))
% 139.99/20.61 | (stoppedIn @ X0 @ filling @ (plus @ X0 @ n1))
% 139.99/20.61 | ~ (happens @ X2 @ X0)
% 139.99/20.61 | ~ (initiates @ X2 @ filling @ X0))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl879])).
% 139.99/20.61 thf(zip_derived_cl12913, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X0) @ n0)
% 139.99/20.61 | (holdsAt @ (waterLevel @ (plus @ X0 @ n1)) @ (plus @ n0 @ n1))
% 139.99/20.61 | (stoppedIn @ n0 @ filling @ (plus @ n0 @ n1))
% 139.99/20.61 | ~ (happens @ tapOn @ n0))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl12896, zip_derived_cl1709])).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus0_1])).
% 139.99/20.61 thf(zip_derived_cl1, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (less @ (sk__1 @ X0 @ X1 @ X2) @ X0) | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [stoppedin_defn])).
% 139.99/20.61 thf(zip_derived_cl1035, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n1) | ((X0) = (n0)))),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl657, zip_derived_cl87])).
% 139.99/20.61 thf(zip_derived_cl1040, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ n1) | ((sk__1 @ n1 @ X1 @ X0) = (n0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1035])).
% 139.99/20.61 thf(zip_derived_cl2, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (less @ X0 @ (sk__1 @ X1 @ X2 @ X0)) | ~ (stoppedIn @ X0 @ X2 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [stoppedin_defn])).
% 139.99/20.61 thf(zip_derived_cl3029, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ n1)
% 139.99/20.61 | (less @ X0 @ n0)
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ n1))),
% 139.99/20.61 inference('s_sup+', [status(thm)], [zip_derived_cl1040, zip_derived_cl2])).
% 139.99/20.61 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 139.99/20.61 inference('cnf', [status(esa)], [less0])).
% 139.99/20.61 thf(zip_derived_cl3038, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ n1) | ~ (stoppedIn @ X0 @ X1 @ n1))),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl3029, zip_derived_cl87])).
% 139.99/20.61 thf(zip_derived_cl3039, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ~ (stoppedIn @ X0 @ X1 @ n1)),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl3038])).
% 139.99/20.61 thf(zip_derived_cl9530, plain, ( (happens @ tapOn @ n0)),
% 139.99/20.61 inference('clc', [status(thm)], [zip_derived_cl9457, zip_derived_cl112])).
% 139.99/20.61 thf(zip_derived_cl12925, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X0) @ n0)
% 139.99/20.61 | (holdsAt @ (waterLevel @ (plus @ X0 @ n1)) @ n1))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl12913, zip_derived_cl74, zip_derived_cl74,
% 139.99/20.61 zip_derived_cl3039, zip_derived_cl9530])).
% 139.99/20.61 thf(zip_derived_cl13122, plain,
% 139.99/20.61 ((~ (holdsAt @ (waterLevel @ n0) @ n0)
% 139.99/20.61 | (holdsAt @ (waterLevel @ n1) @ n1))),
% 139.99/20.61 inference('s_sup+', [status(thm)],
% 139.99/20.61 [zip_derived_cl74, zip_derived_cl12925])).
% 139.99/20.61 thf(waterLevel_0, axiom, (holdsAt @ ( waterLevel @ n0 ) @ n0)).
% 139.99/20.61 thf(zip_derived_cl109, plain, ( (holdsAt @ (waterLevel @ n0) @ n0)),
% 139.99/20.61 inference('cnf', [status(esa)], [waterLevel_0])).
% 139.99/20.61 thf(zip_derived_cl13124, plain, ( (holdsAt @ (waterLevel @ n1) @ n1)),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl13122, zip_derived_cl109])).
% 139.99/20.61 thf(zip_derived_cl7063, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X1) @ X0)
% 139.99/20.61 | (initiates @ overflow @ (waterLevel @ X1) @ X0))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl1444])).
% 139.99/20.61 thf(zip_derived_cl12, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (holdsAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (happens @ (sk__4 @ X1 @ X0) @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | ~ (holdsAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_holding])).
% 139.99/20.61 thf(zip_derived_cl60, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (zip_tseitin_4 @ X0 @ X1)
% 139.99/20.61 | (zip_tseitin_5 @ X0 @ X1)
% 139.99/20.61 | ~ (happens @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_13])).
% 139.99/20.61 thf(zip_derived_cl58, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (((X0) = (n0)) | ~ (zip_tseitin_5 @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_10])).
% 139.99/20.61 thf(zip_derived_cl578, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (happens @ X0 @ X1) | (zip_tseitin_4 @ X1 @ X0) | ((X1) = (n0)))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl60, zip_derived_cl58])).
% 139.99/20.61 thf(zip_derived_cl55, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (((X0) = (overflow)) | ~ (zip_tseitin_4 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 139.99/20.61 thf(zip_derived_cl889, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X1) = (n0)) | ~ (happens @ X0 @ X1) | ((X0) = (overflow)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl578, zip_derived_cl55])).
% 139.99/20.61 thf(zip_derived_cl1107, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ X1 @ X0)
% 139.99/20.61 | (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | (holdsAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ((X0) = (n0))
% 139.99/20.61 | ((sk__4 @ X0 @ X1) = (overflow)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl889])).
% 139.99/20.61 thf(zip_derived_cl9443, plain,
% 139.99/20.61 (![X0 : $i]: (releasedAt @ (waterLevel @ X0) @ n1)),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl9442])).
% 139.99/20.61 thf(plus1_1, axiom, (( plus @ n1 @ n1 ) = ( n2 ))).
% 139.99/20.61 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_1])).
% 139.99/20.61 thf(keep_released, axiom,
% 139.99/20.61 (![Fluent:$i,Time:$i]:
% 139.99/20.61 ( ( ( releasedAt @ Fluent @ Time ) &
% 139.99/20.61 ( ~( ?[Event:$i]:
% 139.99/20.61 ( ( ( terminates @ Event @ Fluent @ Time ) |
% 139.99/20.61 ( initiates @ Event @ Fluent @ Time ) ) &
% 139.99/20.61 ( happens @ Event @ Time ) ) ) ) ) =>
% 139.99/20.61 ( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ))).
% 139.99/20.61 thf(zip_derived_cl16, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (happens @ (sk__6 @ X1 @ X0) @ X1)
% 139.99/20.61 | ~ (releasedAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_released])).
% 139.99/20.61 thf(zip_derived_cl578, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (happens @ X0 @ X1) | (zip_tseitin_4 @ X1 @ X0) | ((X1) = (n0)))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl60, zip_derived_cl58])).
% 139.99/20.61 thf(zip_derived_cl53, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (holdsAt @ (waterLevel @ n3) @ X0) | ~ (zip_tseitin_4 @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 139.99/20.61 thf(zip_derived_cl887, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X1) = (n0))
% 139.99/20.61 | ~ (happens @ X0 @ X1)
% 139.99/20.61 | (holdsAt @ (waterLevel @ n3) @ X1))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl578, zip_derived_cl53])).
% 139.99/20.61 thf(zip_derived_cl1743, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (releasedAt @ X1 @ X0)
% 139.99/20.61 | (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ((X0) = (n0))
% 139.99/20.61 | (holdsAt @ (waterLevel @ n3) @ X0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl887])).
% 139.99/20.61 thf(zip_derived_cl8662, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (releasedAt @ X0 @ n1)
% 139.99/20.61 | (releasedAt @ X0 @ n2)
% 139.99/20.61 | ((n1) = (n0))
% 139.99/20.61 | (holdsAt @ (waterLevel @ n3) @ n1))),
% 139.99/20.61 inference('s_sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl1743])).
% 139.99/20.61 thf(zip_derived_cl675, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n0)) | (less @ X0 @ n1))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl89])).
% 139.99/20.61 thf(zip_derived_cl107, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl684, plain, (![X0 : $i]: ~ (less @ X0 @ X0)),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl107])).
% 139.99/20.61 thf(zip_derived_cl696, plain, (((n1) != (n0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl675, zip_derived_cl684])).
% 139.99/20.61 thf(zip_derived_cl8663, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (releasedAt @ X0 @ n1)
% 139.99/20.61 | (releasedAt @ X0 @ n2)
% 139.99/20.61 | (holdsAt @ (waterLevel @ n3) @ n1))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl8662, zip_derived_cl696])).
% 139.99/20.61 thf(zip_derived_cl12683, plain, ( (holdsAt @ filling @ n1)),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl12681, zip_derived_cl74])).
% 139.99/20.61 thf(zip_derived_cl12, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (holdsAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (happens @ (sk__4 @ X1 @ X0) @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | ~ (holdsAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_holding])).
% 139.99/20.61 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_1])).
% 139.99/20.61 thf(happens_not_released, axiom,
% 139.99/20.61 (![Event:$i,Time:$i,Fluent:$i]:
% 139.99/20.61 ( ( ( happens @ Event @ Time ) &
% 139.99/20.61 ( ( initiates @ Event @ Fluent @ Time ) |
% 139.99/20.61 ( terminates @ Event @ Fluent @ Time ) ) ) =>
% 139.99/20.61 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 139.99/20.61 thf(zip_derived_cl24, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (happens @ X0 @ X1)
% 139.99/20.61 | ~ (initiates @ X0 @ X2 @ X1)
% 139.99/20.61 | ~ (releasedAt @ X2 @ (plus @ X1 @ n1)))),
% 139.99/20.61 inference('cnf', [status(esa)], [happens_not_released])).
% 139.99/20.61 thf(zip_derived_cl721, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (happens @ X1 @ n1)
% 139.99/20.61 | ~ (initiates @ X1 @ X0 @ n1)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl24])).
% 139.99/20.61 thf(zip_derived_cl991, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ X0 @ n1)
% 139.99/20.61 | (releasedAt @ X0 @ (plus @ n1 @ n1))
% 139.99/20.61 | (holdsAt @ X0 @ (plus @ n1 @ n1))
% 139.99/20.61 | ~ (initiates @ (sk__4 @ n1 @ X0) @ X1 @ n1)
% 139.99/20.61 | ~ (releasedAt @ X1 @ n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl721])).
% 139.99/20.61 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_1])).
% 139.99/20.61 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_1])).
% 139.99/20.61 thf(zip_derived_cl995, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ X0 @ n1)
% 139.99/20.61 | (releasedAt @ X0 @ n2)
% 139.99/20.61 | (holdsAt @ X0 @ n2)
% 139.99/20.61 | ~ (initiates @ (sk__4 @ n1 @ X0) @ X1 @ n1)
% 139.99/20.61 | ~ (releasedAt @ X1 @ n2))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl991, zip_derived_cl77, zip_derived_cl77])).
% 139.99/20.61 thf(zip_derived_cl12690, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (releasedAt @ filling @ n2)
% 139.99/20.61 | (holdsAt @ filling @ n2)
% 139.99/20.61 | ~ (initiates @ (sk__4 @ n1 @ filling) @ X0 @ n1)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl12683, zip_derived_cl995])).
% 139.99/20.61 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_1])).
% 139.99/20.61 thf(zip_derived_cl585, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ X1 @ X0)
% 139.99/20.61 | ~ (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ((X1) = (waterLevel @ (sk__10 @ X1))))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl19, zip_derived_cl51])).
% 139.99/20.61 thf(zip_derived_cl910, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (releasedAt @ X0 @ n1)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n2)
% 139.99/20.61 | ((X0) = (waterLevel @ (sk__10 @ X0))))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl585])).
% 139.99/20.61 thf(zip_derived_cl68, plain, (![X0 : $i]: ((filling) != (waterLevel @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [filling_not_waterLevel])).
% 139.99/20.61 thf(zip_derived_cl1839, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (releasedAt @ X0 @ n2)
% 139.99/20.61 | (releasedAt @ X0 @ n1)
% 139.99/20.61 | ((filling) != (X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl910, zip_derived_cl68])).
% 139.99/20.61 thf(zip_derived_cl9585, plain,
% 139.99/20.61 (( (releasedAt @ filling @ n1) | ~ (releasedAt @ filling @ n2))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl1839])).
% 139.99/20.61 thf(zip_derived_cl9286, plain, (~ (releasedAt @ filling @ n1)),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl9285, zip_derived_cl113])).
% 139.99/20.61 thf(zip_derived_cl9586, plain, (~ (releasedAt @ filling @ n2)),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl9585, zip_derived_cl9286])).
% 139.99/20.61 thf(zip_derived_cl12702, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (holdsAt @ filling @ n2)
% 139.99/20.61 | ~ (initiates @ (sk__4 @ n1 @ filling) @ X0 @ n1)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n2))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl12690, zip_derived_cl9586])).
% 139.99/20.61 thf(zip_derived_cl24727, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (holdsAt @ (waterLevel @ n3) @ n1)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n1)
% 139.99/20.61 | (holdsAt @ filling @ n2)
% 139.99/20.61 | ~ (initiates @ (sk__4 @ n1 @ filling) @ X0 @ n1))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl8663, zip_derived_cl12702])).
% 139.99/20.61 thf(zip_derived_cl7063, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X1) @ X0)
% 139.99/20.61 | (initiates @ overflow @ (waterLevel @ X1) @ X0))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl1444])).
% 139.99/20.61 thf(zip_derived_cl1107, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ X1 @ X0)
% 139.99/20.61 | (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | (holdsAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ((X0) = (n0))
% 139.99/20.61 | ((sk__4 @ X0 @ X1) = (overflow)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl889])).
% 139.99/20.61 thf(zip_derived_cl7063, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X1) @ X0)
% 139.99/20.61 | (initiates @ overflow @ (waterLevel @ X1) @ X0))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl1444])).
% 139.99/20.61 thf(zip_derived_cl18, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (happens @ (sk__7 @ X1 @ X0) @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_not_released])).
% 139.99/20.61 thf(zip_derived_cl889, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X1) = (n0)) | ~ (happens @ X0 @ X1) | ((X0) = (overflow)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl578, zip_derived_cl55])).
% 139.99/20.61 thf(zip_derived_cl1110, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ X1 @ X0)
% 139.99/20.61 | ~ (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ((X0) = (n0))
% 139.99/20.61 | ((sk__7 @ X0 @ X1) = (overflow)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl889])).
% 139.99/20.61 thf(zip_derived_cl108, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 139.99/20.61 inference('cnf', [status(esa)], [less0])).
% 139.99/20.61 thf(zip_derived_cl832, plain,
% 139.99/20.61 (![X0 : $i]: ( (less @ n0 @ X0) | ((n0) = (X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl87])).
% 139.99/20.61 thf(zip_derived_cl85, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ~ (less @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_or_equal])).
% 139.99/20.61 thf(zip_derived_cl93, plain,
% 139.99/20.61 (![X0 : $i]: ( (less @ X0 @ n3) | ~ (less_or_equal @ X0 @ n2))),
% 139.99/20.61 inference('cnf', [status(esa)], [less3])).
% 139.99/20.61 thf(zip_derived_cl668, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n2) | (less @ X0 @ n3))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl85, zip_derived_cl93])).
% 139.99/20.61 thf(zip_derived_cl1115, plain, ((((n0) = (n2)) | (less @ n0 @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl832, zip_derived_cl668])).
% 139.99/20.61 thf(zip_derived_cl675, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n0)) | (less @ X0 @ n1))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl89])).
% 139.99/20.61 thf(zip_derived_cl86, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ((X0) != (X1)))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_or_equal])).
% 139.99/20.61 thf(zip_derived_cl91, plain,
% 139.99/20.61 (![X0 : $i]: ( (less @ X0 @ n2) | ~ (less_or_equal @ X0 @ n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [less2])).
% 139.99/20.61 thf(zip_derived_cl676, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n1)) | (less @ X0 @ n2))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl91])).
% 139.99/20.61 thf(zip_derived_cl106, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl703, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n1)) | ~ (less @ n2 @ X0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl676, zip_derived_cl106])).
% 139.99/20.61 thf(zip_derived_cl708, plain, (~ (less @ n2 @ n1)),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl703])).
% 139.99/20.61 thf(zip_derived_cl709, plain, (((n2) != (n0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl675, zip_derived_cl708])).
% 139.99/20.61 thf(zip_derived_cl1118, plain, ( (less @ n0 @ n3)),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1115, zip_derived_cl709])).
% 139.99/20.61 thf(zip_derived_cl108, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl694, plain, (~ (less @ n4 @ n3)),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl692])).
% 139.99/20.61 thf(zip_derived_cl834, plain, (( (less @ n3 @ n4) | ((n3) = (n4)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl694])).
% 139.99/20.61 thf(zip_derived_cl678, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n3)) | (less @ X0 @ n4))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl95])).
% 139.99/20.61 thf(zip_derived_cl684, plain, (![X0 : $i]: ~ (less @ X0 @ X0)),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl107])).
% 139.99/20.61 thf(zip_derived_cl693, plain, (((n4) != (n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl678, zip_derived_cl684])).
% 139.99/20.61 thf(zip_derived_cl853, plain, ( (less @ n3 @ n4)),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl834, zip_derived_cl693])).
% 139.99/20.61 thf(zip_derived_cl1267, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (~ (less @ X0 @ X2)
% 139.99/20.61 | ~ (less @ X3 @ X0)
% 139.99/20.61 | (stoppedIn @ X3 @ X1 @ X2)
% 139.99/20.61 | (holdsAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ~ (holdsAt @ X1 @ X0))),
% 139.99/20.61 inference('clc', [status(thm)], [zip_derived_cl688, zip_derived_cl12])).
% 139.99/20.61 thf(zip_derived_cl1293, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (less @ X0 @ n3)
% 139.99/20.61 | (stoppedIn @ X0 @ X1 @ n4)
% 139.99/20.61 | (holdsAt @ X1 @ (plus @ n3 @ n1))
% 139.99/20.61 | (releasedAt @ X1 @ (plus @ n3 @ n1))
% 139.99/20.61 | ~ (holdsAt @ X1 @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl853, zip_derived_cl1267])).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(zip_derived_cl79, plain, (((plus @ n1 @ n3) = (n4))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_3])).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(zip_derived_cl79, plain, (((plus @ n1 @ n3) = (n4))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_3])).
% 139.99/20.61 thf(zip_derived_cl1308, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (less @ X0 @ n3)
% 139.99/20.61 | (stoppedIn @ X0 @ X1 @ n4)
% 139.99/20.61 | (holdsAt @ X1 @ n4)
% 139.99/20.61 | (releasedAt @ X1 @ n4)
% 139.99/20.61 | ~ (holdsAt @ X1 @ n3))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl1293, zip_derived_cl83, zip_derived_cl79,
% 139.99/20.61 zip_derived_cl83, zip_derived_cl79])).
% 139.99/20.61 thf(zip_derived_cl0, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (terminates @ (sk_ @ X0 @ X1 @ X2) @ X1 @ (sk__1 @ X0 @ X1 @ X2))
% 139.99/20.61 | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [stoppedin_defn])).
% 139.99/20.61 thf(zip_derived_cl45, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (((X0) = (overflow))
% 139.99/20.61 | ((X0) = (tapOff))
% 139.99/20.61 | ~ (terminates @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('cnf', [status(esa)], [terminates_all_defn])).
% 139.99/20.61 thf(zip_derived_cl792, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | ((sk_ @ X2 @ X1 @ X0) = (overflow))
% 139.99/20.61 | ((sk_ @ X2 @ X1 @ X0) = (tapOff)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl45])).
% 139.99/20.61 thf(zip_derived_cl3, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (happens @ (sk_ @ X0 @ X1 @ X2) @ (sk__1 @ X0 @ X1 @ X2))
% 139.99/20.61 | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [stoppedin_defn])).
% 139.99/20.61 thf(zip_derived_cl1506, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (((sk_ @ X2 @ X1 @ X0) = (overflow))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | (happens @ tapOff @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('s_sup+', [status(thm)], [zip_derived_cl792, zip_derived_cl3])).
% 139.99/20.61 thf(zip_derived_cl1509, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (happens @ tapOff @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | ((sk_ @ X2 @ X1 @ X0) = (overflow)))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl1506])).
% 139.99/20.61 thf(zip_derived_cl883, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X0) = (tapOn)) | ~ (happens @ X0 @ X1) | ((X0) = (overflow)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl577, zip_derived_cl55])).
% 139.99/20.61 thf(zip_derived_cl7189, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (((sk_ @ X2 @ X1 @ X0) = (overflow))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | ((tapOff) = (tapOn))
% 139.99/20.61 | ((tapOff) = (overflow)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1509, zip_derived_cl883])).
% 139.99/20.61 thf(tapOff_not_overflow, axiom, (( tapOff ) != ( overflow ))).
% 139.99/20.61 thf(zip_derived_cl66, plain, (((tapOff) != (overflow))),
% 139.99/20.61 inference('cnf', [status(esa)], [tapOff_not_overflow])).
% 139.99/20.61 thf(tapOff_not_tapOn, axiom, (( tapOff ) != ( tapOn ))).
% 139.99/20.61 thf(zip_derived_cl65, plain, (((tapOff) != (tapOn))),
% 139.99/20.61 inference('cnf', [status(esa)], [tapOff_not_tapOn])).
% 139.99/20.61 thf(zip_derived_cl7195, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (((sk_ @ X2 @ X1 @ X0) = (overflow)) | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl7189, zip_derived_cl66, zip_derived_cl65])).
% 139.99/20.61 thf(zip_derived_cl0, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (terminates @ (sk_ @ X0 @ X1 @ X2) @ X1 @ (sk__1 @ X0 @ X1 @ X2))
% 139.99/20.61 | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [stoppedin_defn])).
% 139.99/20.61 thf(zip_derived_cl16037, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | (terminates @ overflow @ X1 @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('s_sup+', [status(thm)], [zip_derived_cl7195, zip_derived_cl0])).
% 139.99/20.61 thf(zip_derived_cl16039, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (terminates @ overflow @ X1 @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl16037])).
% 139.99/20.61 thf(zip_derived_cl7195, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (((sk_ @ X2 @ X1 @ X0) = (overflow)) | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl7189, zip_derived_cl66, zip_derived_cl65])).
% 139.99/20.61 thf(zip_derived_cl3, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (happens @ (sk_ @ X0 @ X1 @ X2) @ (sk__1 @ X0 @ X1 @ X2))
% 139.99/20.61 | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [stoppedin_defn])).
% 139.99/20.61 thf(zip_derived_cl16038, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | (happens @ overflow @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('s_sup+', [status(thm)], [zip_derived_cl7195, zip_derived_cl3])).
% 139.99/20.61 thf(zip_derived_cl16040, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (happens @ overflow @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl16038])).
% 139.99/20.61 thf(zip_derived_cl577, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (happens @ X0 @ X1) | (zip_tseitin_4 @ X1 @ X0) | ((X0) = (tapOn)))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl60, zip_derived_cl57])).
% 139.99/20.61 thf(zip_derived_cl53, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (holdsAt @ (waterLevel @ n3) @ X0) | ~ (zip_tseitin_4 @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 139.99/20.61 thf(zip_derived_cl881, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X0) = (tapOn))
% 139.99/20.61 | ~ (happens @ X0 @ X1)
% 139.99/20.61 | (holdsAt @ (waterLevel @ n3) @ X1))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl577, zip_derived_cl53])).
% 139.99/20.61 thf(zip_derived_cl16104, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | ((overflow) = (tapOn))
% 139.99/20.61 | (holdsAt @ (waterLevel @ n3) @ (sk__1 @ X2 @ X1 @ X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl16040, zip_derived_cl881])).
% 139.99/20.61 thf(overflow_not_tapOn, axiom, (( overflow ) != ( tapOn ))).
% 139.99/20.61 thf(zip_derived_cl67, plain, (((overflow) != (tapOn))),
% 139.99/20.61 inference('cnf', [status(esa)], [overflow_not_tapOn])).
% 139.99/20.61 thf(zip_derived_cl16111, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | (holdsAt @ (waterLevel @ n3) @ (sk__1 @ X2 @ X1 @ X0)))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl16104, zip_derived_cl67])).
% 139.99/20.61 thf(zip_derived_cl16040, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (happens @ overflow @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl16038])).
% 139.99/20.61 thf(zip_derived_cl16040, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (happens @ overflow @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl16038])).
% 139.99/20.61 thf(zip_derived_cl9163, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X1) @ X0)
% 139.99/20.61 | ~ (happens @ overflow @ X0)
% 139.99/20.61 | (holdsAt @ (waterLevel @ X1) @ (plus @ X0 @ n1)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl7063, zip_derived_cl20])).
% 139.99/20.61 thf(zip_derived_cl21, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (happens @ X0 @ X1)
% 139.99/20.61 | ~ (terminates @ X0 @ X2 @ X1)
% 139.99/20.61 | ~ (holdsAt @ X2 @ (plus @ X1 @ n1)))),
% 139.99/20.61 inference('cnf', [status(esa)], [happens_terminates_not_holds])).
% 139.99/20.61 thf(zip_derived_cl16317, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (happens @ overflow @ X0)
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ X1) @ X0)
% 139.99/20.61 | ~ (happens @ X2 @ X0)
% 139.99/20.61 | ~ (terminates @ X2 @ (waterLevel @ X1) @ X0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl9163, zip_derived_cl21])).
% 139.99/20.61 thf(zip_derived_cl16400, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ X3) @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (happens @ X4 @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (terminates @ X4 @ (waterLevel @ X3) @ (sk__1 @ X2 @ X1 @ X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl16040, zip_derived_cl16317])).
% 139.99/20.61 thf(zip_derived_cl22241, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ X3) @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (terminates @ overflow @ (waterLevel @ X3) @
% 139.99/20.61 (sk__1 @ X2 @ X1 @ X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl16040, zip_derived_cl16400])).
% 139.99/20.61 thf(zip_derived_cl22247, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (~ (terminates @ overflow @ (waterLevel @ X3) @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ X3) @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl22241])).
% 139.99/20.61 thf(zip_derived_cl22278, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | ~ (terminates @ overflow @ (waterLevel @ n3) @
% 139.99/20.61 (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl16111, zip_derived_cl22247])).
% 139.99/20.61 thf(zip_derived_cl22285, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (terminates @ overflow @ (waterLevel @ n3) @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl22278])).
% 139.99/20.61 thf(zip_derived_cl22288, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ (waterLevel @ n3) @ X1)
% 139.99/20.61 | ~ (stoppedIn @ X0 @ (waterLevel @ n3) @ X1))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl16039, zip_derived_cl22285])).
% 139.99/20.61 thf(zip_derived_cl22290, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ~ (stoppedIn @ X0 @ (waterLevel @ n3) @ X1)),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl22288])).
% 139.99/20.61 thf(zip_derived_cl22297, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ n3) @ n3)
% 139.99/20.61 | (releasedAt @ (waterLevel @ n3) @ n4)
% 139.99/20.61 | (holdsAt @ (waterLevel @ n3) @ n4)
% 139.99/20.61 | ~ (less @ X0 @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1308, zip_derived_cl22290])).
% 139.99/20.61 thf(waterLevel_3, axiom, (holdsAt @ ( waterLevel @ n3 ) @ n3)).
% 139.99/20.61 thf(zip_derived_cl115, plain, ( (holdsAt @ (waterLevel @ n3) @ n3)),
% 139.99/20.61 inference('cnf', [status(esa)], [waterLevel_3])).
% 139.99/20.61 thf(waterLevel_4, conjecture, (holdsAt @ ( waterLevel @ n3 ) @ n4)).
% 139.99/20.61 thf(zf_stmt_14, negated_conjecture,
% 139.99/20.61 (~( holdsAt @ ( waterLevel @ n3 ) @ n4 )),
% 139.99/20.61 inference('cnf.neg', [status(esa)], [waterLevel_4])).
% 139.99/20.61 thf(zip_derived_cl116, plain, (~ (holdsAt @ (waterLevel @ n3) @ n4)),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_14])).
% 139.99/20.61 thf(zip_derived_cl22325, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (releasedAt @ (waterLevel @ n3) @ n4) | ~ (less @ X0 @ n3))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl22297, zip_derived_cl115, zip_derived_cl116])).
% 139.99/20.61 thf(zip_derived_cl22348, plain, ( (releasedAt @ (waterLevel @ n3) @ n4)),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1118, zip_derived_cl22325])).
% 139.99/20.61 thf(zip_derived_cl22348, plain, ( (releasedAt @ (waterLevel @ n3) @ n4)),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1118, zip_derived_cl22325])).
% 139.99/20.61 thf(zip_derived_cl18, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (happens @ (sk__7 @ X1 @ X0) @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_not_released])).
% 139.99/20.61 thf(zip_derived_cl79, plain, (((plus @ n1 @ n3) = (n4))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_3])).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(zip_derived_cl24, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (happens @ X0 @ X1)
% 139.99/20.61 | ~ (initiates @ X0 @ X2 @ X1)
% 139.99/20.61 | ~ (releasedAt @ X2 @ (plus @ X1 @ n1)))),
% 139.99/20.61 inference('cnf', [status(esa)], [happens_not_released])).
% 139.99/20.61 thf(zip_derived_cl772, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (happens @ X2 @ X0)
% 139.99/20.61 | ~ (initiates @ X2 @ X1 @ X0)
% 139.99/20.61 | ~ (releasedAt @ X1 @ (plus @ n1 @ X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl24])).
% 139.99/20.61 thf(zip_derived_cl1480, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (happens @ X1 @ n3)
% 139.99/20.61 | ~ (initiates @ X1 @ X0 @ n3)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n4))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl772])).
% 139.99/20.61 thf(zip_derived_cl4538, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ X0 @ n3)
% 139.99/20.61 | ~ (releasedAt @ X0 @ (plus @ n3 @ n1))
% 139.99/20.61 | ~ (initiates @ (sk__7 @ n3 @ X0) @ X1 @ n3)
% 139.99/20.61 | ~ (releasedAt @ X1 @ n4))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1480])).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(zip_derived_cl79, plain, (((plus @ n1 @ n3) = (n4))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_3])).
% 139.99/20.61 thf(zip_derived_cl4542, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ X0 @ n3)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n4)
% 139.99/20.61 | ~ (initiates @ (sk__7 @ n3 @ X0) @ X1 @ n3)
% 139.99/20.61 | ~ (releasedAt @ X1 @ n4))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl4538, zip_derived_cl83, zip_derived_cl79])).
% 139.99/20.61 thf(zip_derived_cl26478, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (releasedAt @ (waterLevel @ n3) @ n3)
% 139.99/20.61 | ~ (initiates @ (sk__7 @ n3 @ (waterLevel @ n3)) @ X0 @ n3)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n4))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl22348, zip_derived_cl4542])).
% 139.99/20.61 thf(zip_derived_cl26639, plain,
% 139.99/20.61 (( (releasedAt @ (waterLevel @ n3) @ n3)
% 139.99/20.61 | ~ (initiates @ (sk__7 @ n3 @ (waterLevel @ n3)) @
% 139.99/20.61 (waterLevel @ n3) @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl22348, zip_derived_cl26478])).
% 139.99/20.61 thf(zip_derived_cl26644, plain,
% 139.99/20.61 ((((n3) = (n0))
% 139.99/20.61 | ~ (releasedAt @ (waterLevel @ n3) @ (plus @ n3 @ n1))
% 139.99/20.61 | (releasedAt @ (waterLevel @ n3) @ n3)
% 139.99/20.61 | (releasedAt @ (waterLevel @ n3) @ n3)
% 139.99/20.61 | ~ (initiates @ overflow @ (waterLevel @ n3) @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1110, zip_derived_cl26639])).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(zip_derived_cl79, plain, (((plus @ n1 @ n3) = (n4))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_3])).
% 139.99/20.61 thf(zip_derived_cl22348, plain, ( (releasedAt @ (waterLevel @ n3) @ n4)),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1118, zip_derived_cl22325])).
% 139.99/20.61 thf(zip_derived_cl26647, plain,
% 139.99/20.61 ((((n3) = (n0))
% 139.99/20.61 | (releasedAt @ (waterLevel @ n3) @ n3)
% 139.99/20.61 | (releasedAt @ (waterLevel @ n3) @ n3)
% 139.99/20.61 | ~ (initiates @ overflow @ (waterLevel @ n3) @ n3))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl26644, zip_derived_cl83, zip_derived_cl79,
% 139.99/20.61 zip_derived_cl22348])).
% 139.99/20.61 thf(zip_derived_cl26648, plain,
% 139.99/20.61 ((~ (initiates @ overflow @ (waterLevel @ n3) @ n3)
% 139.99/20.61 | (releasedAt @ (waterLevel @ n3) @ n3)
% 139.99/20.61 | ((n3) = (n0)))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl26647])).
% 139.99/20.61 thf(zip_derived_cl675, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n0)) | (less @ X0 @ n1))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl89])).
% 139.99/20.61 thf(zip_derived_cl108, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl708, plain, (~ (less @ n2 @ n1)),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl703])).
% 139.99/20.61 thf(zip_derived_cl833, plain, (( (less @ n1 @ n2) | ((n1) = (n2)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl708])).
% 139.99/20.61 thf(zip_derived_cl676, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n1)) | (less @ X0 @ n2))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl91])).
% 139.99/20.61 thf(zip_derived_cl684, plain, (![X0 : $i]: ~ (less @ X0 @ X0)),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl107])).
% 139.99/20.61 thf(zip_derived_cl704, plain, (((n2) != (n1))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl676, zip_derived_cl684])).
% 139.99/20.61 thf(zip_derived_cl852, plain, ( (less @ n1 @ n2)),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl833, zip_derived_cl704])).
% 139.99/20.61 thf(zip_derived_cl668, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n2) | (less @ X0 @ n3))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl85, zip_derived_cl93])).
% 139.99/20.61 thf(zip_derived_cl1116, plain, ( (less @ n1 @ n3)),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl852, zip_derived_cl668])).
% 139.99/20.61 thf(zip_derived_cl106, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl1125, plain, (~ (less @ n3 @ n1)),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1116, zip_derived_cl106])).
% 139.99/20.61 thf(zip_derived_cl1129, plain, (((n3) != (n0))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl675, zip_derived_cl1125])).
% 139.99/20.61 thf(zip_derived_cl26649, plain,
% 139.99/20.61 ((~ (initiates @ overflow @ (waterLevel @ n3) @ n3)
% 139.99/20.61 | (releasedAt @ (waterLevel @ n3) @ n3))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl26648, zip_derived_cl1129])).
% 139.99/20.61 thf(zip_derived_cl26709, plain,
% 139.99/20.61 ((~ (holdsAt @ (waterLevel @ n3) @ n3)
% 139.99/20.61 | (releasedAt @ (waterLevel @ n3) @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl7063, zip_derived_cl26649])).
% 139.99/20.61 thf(zip_derived_cl115, plain, ( (holdsAt @ (waterLevel @ n3) @ n3)),
% 139.99/20.61 inference('cnf', [status(esa)], [waterLevel_3])).
% 139.99/20.61 thf(zip_derived_cl26711, plain, ( (releasedAt @ (waterLevel @ n3) @ n3)),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl26709, zip_derived_cl115])).
% 139.99/20.61 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_2])).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(zip_derived_cl1110, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ X1 @ X0)
% 139.99/20.61 | ~ (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ((X0) = (n0))
% 139.99/20.61 | ((sk__7 @ X0 @ X1) = (overflow)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl889])).
% 139.99/20.61 thf(zip_derived_cl584, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ X1 @ X0)
% 139.99/20.61 | ~ (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ((sk__7 @ X0 @ X1) = (tapOn)))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl19, zip_derived_cl50])).
% 139.99/20.61 thf(zip_derived_cl3894, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X1) = (n0))
% 139.99/20.61 | ~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (releasedAt @ X0 @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ X1)
% 139.99/20.61 | ~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | ((overflow) = (tapOn)))),
% 139.99/20.61 inference('s_sup+', [status(thm)],
% 139.99/20.61 [zip_derived_cl1110, zip_derived_cl584])).
% 139.99/20.61 thf(zip_derived_cl3896, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((overflow) = (tapOn))
% 139.99/20.61 | (releasedAt @ X0 @ X1)
% 139.99/20.61 | ~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | ((X1) = (n0)))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl3894])).
% 139.99/20.61 thf(zip_derived_cl67, plain, (((overflow) != (tapOn))),
% 139.99/20.61 inference('cnf', [status(esa)], [overflow_not_tapOn])).
% 139.99/20.61 thf(zip_derived_cl3897, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ X0 @ X1)
% 139.99/20.61 | ~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | ((X1) = (n0)))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl3896, zip_derived_cl67])).
% 139.99/20.61 thf(zip_derived_cl42940, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ X1 @ X0)
% 139.99/20.61 | ~ (releasedAt @ X1 @ (plus @ n1 @ X0))
% 139.99/20.61 | ((X0) = (n0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl3897])).
% 139.99/20.61 thf(zip_derived_cl47051, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (releasedAt @ X0 @ n2) | ~ (releasedAt @ X0 @ n3) | ((n2) = (n0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl78, zip_derived_cl42940])).
% 139.99/20.61 thf(zip_derived_cl709, plain, (((n2) != (n0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl675, zip_derived_cl708])).
% 139.99/20.61 thf(zip_derived_cl47074, plain,
% 139.99/20.61 (![X0 : $i]: ( (releasedAt @ X0 @ n2) | ~ (releasedAt @ X0 @ n3))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl47051, zip_derived_cl709])).
% 139.99/20.61 thf(zip_derived_cl12702, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (holdsAt @ filling @ n2)
% 139.99/20.61 | ~ (initiates @ (sk__4 @ n1 @ filling) @ X0 @ n1)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n2))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl12690, zip_derived_cl9586])).
% 139.99/20.61 thf(zip_derived_cl47103, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (releasedAt @ X0 @ n3)
% 139.99/20.61 | (holdsAt @ filling @ n2)
% 139.99/20.61 | ~ (initiates @ (sk__4 @ n1 @ filling) @ X0 @ n1))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl47074, zip_derived_cl12702])).
% 139.99/20.61 thf(zip_derived_cl47794, plain,
% 139.99/20.61 (( (holdsAt @ filling @ n2)
% 139.99/20.61 | ~ (initiates @ (sk__4 @ n1 @ filling) @ (waterLevel @ n3) @ n1))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl26711, zip_derived_cl47103])).
% 139.99/20.61 thf(zip_derived_cl47913, plain,
% 139.99/20.61 ((((n1) = (n0))
% 139.99/20.61 | (holdsAt @ filling @ (plus @ n1 @ n1))
% 139.99/20.61 | (releasedAt @ filling @ (plus @ n1 @ n1))
% 139.99/20.61 | ~ (holdsAt @ filling @ n1)
% 139.99/20.61 | (holdsAt @ filling @ n2)
% 139.99/20.61 | ~ (initiates @ overflow @ (waterLevel @ n3) @ n1))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1107, zip_derived_cl47794])).
% 139.99/20.61 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_1])).
% 139.99/20.61 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_1])).
% 139.99/20.61 thf(zip_derived_cl9586, plain, (~ (releasedAt @ filling @ n2)),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl9585, zip_derived_cl9286])).
% 139.99/20.61 thf(zip_derived_cl12683, plain, ( (holdsAt @ filling @ n1)),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl12681, zip_derived_cl74])).
% 139.99/20.61 thf(zip_derived_cl47922, plain,
% 139.99/20.61 ((((n1) = (n0))
% 139.99/20.61 | (holdsAt @ filling @ n2)
% 139.99/20.61 | (holdsAt @ filling @ n2)
% 139.99/20.61 | ~ (initiates @ overflow @ (waterLevel @ n3) @ n1))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl47913, zip_derived_cl77, zip_derived_cl77,
% 139.99/20.61 zip_derived_cl9586, zip_derived_cl12683])).
% 139.99/20.61 thf(zip_derived_cl47923, plain,
% 139.99/20.61 ((~ (initiates @ overflow @ (waterLevel @ n3) @ n1)
% 139.99/20.61 | (holdsAt @ filling @ n2)
% 139.99/20.61 | ((n1) = (n0)))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl47922])).
% 139.99/20.61 thf(zip_derived_cl696, plain, (((n1) != (n0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl675, zip_derived_cl684])).
% 139.99/20.61 thf(zip_derived_cl47924, plain,
% 139.99/20.61 ((~ (initiates @ overflow @ (waterLevel @ n3) @ n1)
% 139.99/20.61 | (holdsAt @ filling @ n2))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl47923, zip_derived_cl696])).
% 139.99/20.61 thf(zip_derived_cl48001, plain,
% 139.99/20.61 ((~ (holdsAt @ (waterLevel @ n3) @ n1) | (holdsAt @ filling @ n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl7063, zip_derived_cl47924])).
% 139.99/20.61 thf(zip_derived_cl50258, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (initiates @ (sk__4 @ n1 @ filling) @ X0 @ n1)
% 139.99/20.61 | (holdsAt @ filling @ n2)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n1))),
% 139.99/20.61 inference('clc', [status(thm)],
% 139.99/20.61 [zip_derived_cl24727, zip_derived_cl48001])).
% 139.99/20.61 thf(zip_derived_cl50264, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (initiates @ (sk__4 @ n1 @ filling) @ (waterLevel @ X0) @ n1)
% 139.99/20.61 | (holdsAt @ filling @ n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl9443, zip_derived_cl50258])).
% 139.99/20.61 thf(zip_derived_cl50464, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (((n1) = (n0))
% 139.99/20.61 | (holdsAt @ filling @ (plus @ n1 @ n1))
% 139.99/20.61 | (releasedAt @ filling @ (plus @ n1 @ n1))
% 139.99/20.61 | ~ (holdsAt @ filling @ n1)
% 139.99/20.61 | ~ (initiates @ overflow @ (waterLevel @ X0) @ n1)
% 139.99/20.61 | (holdsAt @ filling @ n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1107, zip_derived_cl50264])).
% 139.99/20.61 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_1])).
% 139.99/20.61 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_1])).
% 139.99/20.61 thf(zip_derived_cl9586, plain, (~ (releasedAt @ filling @ n2)),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl9585, zip_derived_cl9286])).
% 139.99/20.61 thf(zip_derived_cl12683, plain, ( (holdsAt @ filling @ n1)),
% 139.99/20.61 inference('demod', [status(thm)], [zip_derived_cl12681, zip_derived_cl74])).
% 139.99/20.61 thf(zip_derived_cl50473, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (((n1) = (n0))
% 139.99/20.61 | (holdsAt @ filling @ n2)
% 139.99/20.61 | ~ (initiates @ overflow @ (waterLevel @ X0) @ n1)
% 139.99/20.61 | (holdsAt @ filling @ n2))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl50464, zip_derived_cl77, zip_derived_cl77,
% 139.99/20.61 zip_derived_cl9586, zip_derived_cl12683])).
% 139.99/20.61 thf(zip_derived_cl50474, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (initiates @ overflow @ (waterLevel @ X0) @ n1)
% 139.99/20.61 | (holdsAt @ filling @ n2)
% 139.99/20.61 | ((n1) = (n0)))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl50473])).
% 139.99/20.61 thf(zip_derived_cl696, plain, (((n1) != (n0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl675, zip_derived_cl684])).
% 139.99/20.61 thf(zip_derived_cl50475, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (initiates @ overflow @ (waterLevel @ X0) @ n1)
% 139.99/20.61 | (holdsAt @ filling @ n2))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl50474, zip_derived_cl696])).
% 139.99/20.61 thf(zip_derived_cl50486, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X0) @ n1) | (holdsAt @ filling @ n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl7063, zip_derived_cl50475])).
% 139.99/20.61 thf(zip_derived_cl50498, plain, ( (holdsAt @ filling @ n2)),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl13124, zip_derived_cl50486])).
% 139.99/20.61 thf(zip_derived_cl108, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl108, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl85, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ~ (less @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_or_equal])).
% 139.99/20.61 thf(zip_derived_cl91, plain,
% 139.99/20.61 (![X0 : $i]: ( (less @ X0 @ n2) | ~ (less_or_equal @ X0 @ n1))),
% 139.99/20.61 inference('cnf', [status(esa)], [less2])).
% 139.99/20.61 thf(zip_derived_cl667, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n1) | (less @ X0 @ n2))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl85, zip_derived_cl91])).
% 139.99/20.61 thf(zip_derived_cl106, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl1147, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n1) | ~ (less @ n2 @ X0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl667, zip_derived_cl106])).
% 139.99/20.61 thf(zip_derived_cl1351, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) = (n1)) | (less @ n1 @ X0) | ~ (less @ n2 @ X0))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl108, zip_derived_cl1147])).
% 139.99/20.61 thf(zip_derived_cl703, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n1)) | ~ (less @ n2 @ X0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl676, zip_derived_cl106])).
% 139.99/20.61 thf(zip_derived_cl6577, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ n2 @ X0) | (less @ n1 @ X0))),
% 139.99/20.61 inference('clc', [status(thm)], [zip_derived_cl1351, zip_derived_cl703])).
% 139.99/20.61 thf(zip_derived_cl6578, plain,
% 139.99/20.61 (![X0 : $i]: (((n2) = (X0)) | (less @ X0 @ n2) | (less @ n1 @ X0))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl108, zip_derived_cl6577])).
% 139.99/20.61 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 139.99/20.61 inference('cnf', [status(esa)], [less0])).
% 139.99/20.61 thf(zip_derived_cl72925, plain, (( (less @ n0 @ n2) | ((n2) = (n0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl6578, zip_derived_cl87])).
% 139.99/20.61 thf(zip_derived_cl709, plain, (((n2) != (n0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl675, zip_derived_cl708])).
% 139.99/20.61 thf(zip_derived_cl73149, plain, ( (less @ n0 @ n2)),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl72925, zip_derived_cl709])).
% 139.99/20.61 thf(zip_derived_cl1311, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (less @ X0 @ n2)
% 139.99/20.61 | (stoppedIn @ X0 @ X1 @ n4)
% 139.99/20.61 | (holdsAt @ X1 @ n3)
% 139.99/20.61 | (releasedAt @ X1 @ n3)
% 139.99/20.61 | ~ (holdsAt @ X1 @ n2))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl1296, zip_derived_cl83, zip_derived_cl78,
% 139.99/20.61 zip_derived_cl83, zip_derived_cl78])).
% 139.99/20.61 thf(zip_derived_cl1, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (less @ (sk__1 @ X0 @ X1 @ X2) @ X0) | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [stoppedin_defn])).
% 139.99/20.61 thf(zip_derived_cl108, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl94, plain,
% 139.99/20.61 (![X0 : $i]: ( (less_or_equal @ X0 @ n3) | ~ (less @ X0 @ n4))),
% 139.99/20.61 inference('cnf', [status(esa)], [less4])).
% 139.99/20.61 thf(zip_derived_cl84, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_or_equal])).
% 139.99/20.61 thf(zip_derived_cl660, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n4) | (less @ X0 @ n3) | ((X0) = (n3)))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl94, zip_derived_cl84])).
% 139.99/20.61 thf(zip_derived_cl964, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (((X0) = (n4)) | (less @ n4 @ X0) | (less @ X0 @ n3) | ((X0) = (n3)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl660])).
% 139.99/20.61 thf(zip_derived_cl106, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl2513, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (((X0) = (n3))
% 139.99/20.61 | (less @ n4 @ X0)
% 139.99/20.61 | ((X0) = (n4))
% 139.99/20.61 | ~ (less @ n3 @ X0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl964, zip_derived_cl106])).
% 139.99/20.61 thf(zip_derived_cl107, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl11337, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ n3 @ X0) | ((X0) = (n4)) | (less @ n4 @ X0))),
% 139.99/20.61 inference('clc', [status(thm)], [zip_derived_cl2513, zip_derived_cl107])).
% 139.99/20.61 thf(zip_derived_cl106, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl11338, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) = (n4)) | ~ (less @ n3 @ X0) | ~ (less @ X0 @ n4))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl11337, zip_derived_cl106])).
% 139.99/20.61 thf(zip_derived_cl107, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl11604, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n4) | ~ (less @ n3 @ X0))),
% 139.99/20.61 inference('clc', [status(thm)], [zip_derived_cl11338, zip_derived_cl107])).
% 139.99/20.61 thf(zip_derived_cl11626, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ n4) | ~ (less @ n3 @ (sk__1 @ n4 @ X1 @ X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11604])).
% 139.99/20.61 thf(zip_derived_cl11693, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ X0 @ n2)
% 139.99/20.61 | (releasedAt @ X0 @ n3)
% 139.99/20.61 | (holdsAt @ X0 @ n3)
% 139.99/20.61 | ~ (less @ X1 @ n2)
% 139.99/20.61 | ~ (less @ n3 @ (sk__1 @ n4 @ X0 @ X1)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1311, zip_derived_cl11626])).
% 139.99/20.61 thf(zip_derived_cl114225, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (holdsAt @ X0 @ n2)
% 139.99/20.61 | (releasedAt @ X0 @ n3)
% 139.99/20.61 | (holdsAt @ X0 @ n3)
% 139.99/20.61 | ~ (less @ n3 @ (sk__1 @ n4 @ X0 @ n0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl73149, zip_derived_cl11693])).
% 139.99/20.61 thf(zip_derived_cl114376, plain,
% 139.99/20.61 (( (releasedAt @ filling @ n3)
% 139.99/20.61 | (holdsAt @ filling @ n3)
% 139.99/20.61 | ~ (less @ n3 @ (sk__1 @ n4 @ filling @ n0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl50498, zip_derived_cl114225])).
% 139.99/20.61 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_2])).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(zip_derived_cl585, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ X1 @ X0)
% 139.99/20.61 | ~ (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ((X1) = (waterLevel @ (sk__10 @ X1))))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl19, zip_derived_cl51])).
% 139.99/20.61 thf(zip_derived_cl907, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (releasedAt @ X1 @ X0)
% 139.99/20.61 | ~ (releasedAt @ X1 @ (plus @ n1 @ X0))
% 139.99/20.61 | ((X1) = (waterLevel @ (sk__10 @ X1))))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl585])).
% 139.99/20.61 thf(zip_derived_cl1808, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (releasedAt @ X0 @ n2)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n3)
% 139.99/20.61 | ((X0) = (waterLevel @ (sk__10 @ X0))))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl907])).
% 139.99/20.61 thf(zip_derived_cl68, plain, (![X0 : $i]: ((filling) != (waterLevel @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [filling_not_waterLevel])).
% 139.99/20.61 thf(zip_derived_cl9231, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (releasedAt @ X0 @ n3)
% 139.99/20.61 | (releasedAt @ X0 @ n2)
% 139.99/20.61 | ((filling) != (X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl1808, zip_derived_cl68])).
% 139.99/20.61 thf(zip_derived_cl9586, plain, (~ (releasedAt @ filling @ n2)),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl9585, zip_derived_cl9286])).
% 139.99/20.61 thf(zip_derived_cl12206, plain,
% 139.99/20.61 ((((filling) != (filling)) | ~ (releasedAt @ filling @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl9231, zip_derived_cl9586])).
% 139.99/20.61 thf(zip_derived_cl12210, plain, (~ (releasedAt @ filling @ n3)),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl12206])).
% 139.99/20.61 thf(zip_derived_cl114379, plain,
% 139.99/20.61 (( (holdsAt @ filling @ n3) | ~ (less @ n3 @ (sk__1 @ n4 @ filling @ n0)))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl114376, zip_derived_cl12210])).
% 139.99/20.61 thf(zip_derived_cl114387, plain,
% 139.99/20.61 ((((sk__1 @ n4 @ filling @ n0) = (n1))
% 139.99/20.61 | ((sk__1 @ n4 @ filling @ n0) = (n2))
% 139.99/20.61 | ((sk__1 @ n4 @ filling @ n0) = (n0))
% 139.99/20.61 | ((sk__1 @ n4 @ filling @ n0) = (n3))
% 139.99/20.61 | (holdsAt @ filling @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl21493, zip_derived_cl114379])).
% 139.99/20.61 thf(zip_derived_cl16040, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (happens @ overflow @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl16038])).
% 139.99/20.61 thf(zip_derived_cl115092, plain,
% 139.99/20.61 (( (holdsAt @ filling @ n3)
% 139.99/20.61 | ((sk__1 @ n4 @ filling @ n0) = (n3))
% 139.99/20.61 | ((sk__1 @ n4 @ filling @ n0) = (n0))
% 139.99/20.61 | ((sk__1 @ n4 @ filling @ n0) = (n1))
% 139.99/20.61 | (happens @ overflow @ n2)
% 139.99/20.61 | ~ (stoppedIn @ n0 @ filling @ n4))),
% 139.99/20.61 inference('s_sup+', [status(thm)],
% 139.99/20.61 [zip_derived_cl114387, zip_derived_cl16040])).
% 139.99/20.61 thf(zip_derived_cl675, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n0)) | (less @ X0 @ n1))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl89])).
% 139.99/20.61 thf(zip_derived_cl2, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (less @ X0 @ (sk__1 @ X1 @ X2 @ X0)) | ~ (stoppedIn @ X0 @ X2 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [stoppedin_defn])).
% 139.99/20.61 thf(zip_derived_cl16040, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (happens @ overflow @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl16038])).
% 139.99/20.61 thf(zip_derived_cl49, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (terminates @ X0 @ X1 @ X2)
% 139.99/20.61 | ((X0) != (overflow))
% 139.99/20.61 | ((X1) != (filling)))),
% 139.99/20.61 inference('cnf', [status(esa)], [terminates_all_defn])).
% 139.99/20.61 thf(zip_derived_cl4, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 139.99/20.61 ( (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | ~ (happens @ X3 @ X4)
% 139.99/20.61 | ~ (less @ X0 @ X4)
% 139.99/20.61 | ~ (less @ X4 @ X2)
% 139.99/20.61 | ~ (terminates @ X3 @ X1 @ X4))),
% 139.99/20.61 inference('cnf', [status(esa)], [stoppedin_defn])).
% 139.99/20.61 thf(zip_derived_cl760, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 139.99/20.61 (((X1) != (filling))
% 139.99/20.61 | ((X2) != (overflow))
% 139.99/20.61 | (stoppedIn @ X4 @ X1 @ X3)
% 139.99/20.61 | ~ (happens @ X2 @ X0)
% 139.99/20.61 | ~ (less @ X4 @ X0)
% 139.99/20.61 | ~ (less @ X0 @ X3))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl4])).
% 139.99/20.61 thf(zip_derived_cl1428, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (~ (less @ X1 @ X0)
% 139.99/20.61 | ~ (less @ X2 @ X1)
% 139.99/20.61 | ~ (happens @ X3 @ X1)
% 139.99/20.61 | (stoppedIn @ X2 @ filling @ X0)
% 139.99/20.61 | ((X3) != (overflow)))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl760])).
% 139.99/20.61 thf(zip_derived_cl6945, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (stoppedIn @ X1 @ filling @ X0)
% 139.99/20.61 | ~ (happens @ overflow @ X2)
% 139.99/20.61 | ~ (less @ X1 @ X2)
% 139.99/20.61 | ~ (less @ X2 @ X0))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl1428])).
% 139.99/20.61 thf(zip_derived_cl24600, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | (stoppedIn @ X4 @ filling @ X3)
% 139.99/20.61 | ~ (less @ X4 @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (less @ (sk__1 @ X2 @ X1 @ X0) @ X3))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl16040, zip_derived_cl6945])).
% 139.99/20.61 thf(zip_derived_cl94705, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | (stoppedIn @ X0 @ filling @ X3)
% 139.99/20.61 | ~ (less @ (sk__1 @ X2 @ X1 @ X0) @ X3))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl24600])).
% 139.99/20.61 thf(zip_derived_cl94768, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (~ (less @ (sk__1 @ X2 @ X1 @ X0) @ X3)
% 139.99/20.61 | (stoppedIn @ X0 @ filling @ X3)
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl94705])).
% 139.99/20.61 thf(zip_derived_cl95013, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (((sk__1 @ X2 @ X1 @ X0) != (n0))
% 139.99/20.61 | (stoppedIn @ X0 @ filling @ n1)
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl675, zip_derived_cl94768])).
% 139.99/20.61 thf(zip_derived_cl3039, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ~ (stoppedIn @ X0 @ X1 @ n1)),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl3038])).
% 139.99/20.61 thf(zip_derived_cl95113, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (((sk__1 @ X2 @ X1 @ X0) != (n0)) | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl95013, zip_derived_cl3039])).
% 139.99/20.61 thf(zip_derived_cl123939, plain,
% 139.99/20.61 ((~ (stoppedIn @ n0 @ filling @ n4)
% 139.99/20.61 | (happens @ overflow @ n2)
% 139.99/20.61 | ((sk__1 @ n4 @ filling @ n0) = (n1))
% 139.99/20.61 | ((sk__1 @ n4 @ filling @ n0) = (n3))
% 139.99/20.61 | (holdsAt @ filling @ n3))),
% 139.99/20.61 inference('clc', [status(thm)],
% 139.99/20.61 [zip_derived_cl115092, zip_derived_cl95113])).
% 139.99/20.61 thf(zip_derived_cl676, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n1)) | (less @ X0 @ n2))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl91])).
% 139.99/20.61 thf(zip_derived_cl94768, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (~ (less @ (sk__1 @ X2 @ X1 @ X0) @ X3)
% 139.99/20.61 | (stoppedIn @ X0 @ filling @ X3)
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl94705])).
% 139.99/20.61 thf(zip_derived_cl95024, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (((sk__1 @ X2 @ X1 @ X0) != (n1))
% 139.99/20.61 | (stoppedIn @ X0 @ filling @ n2)
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl676, zip_derived_cl94768])).
% 139.99/20.61 thf(zip_derived_cl1, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (less @ (sk__1 @ X0 @ X1 @ X2) @ X0) | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [stoppedin_defn])).
% 139.99/20.61 thf(zip_derived_cl658, plain,
% 139.99/20.61 (![X0 : $i]: (~ (less @ X0 @ n2) | (less @ X0 @ n1) | ((X0) = (n1)))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl90, zip_derived_cl84])).
% 139.99/20.61 thf(zip_derived_cl1053, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ n2)
% 139.99/20.61 | (less @ (sk__1 @ n2 @ X1 @ X0) @ n1)
% 139.99/20.61 | ((sk__1 @ n2 @ X1 @ X0) = (n1)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl658])).
% 139.99/20.61 thf(zip_derived_cl94768, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 139.99/20.61 (~ (less @ (sk__1 @ X2 @ X1 @ X0) @ X3)
% 139.99/20.61 | (stoppedIn @ X0 @ filling @ X3)
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl94705])).
% 139.99/20.61 thf(zip_derived_cl95105, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((sk__1 @ n2 @ X1 @ X0) = (n1))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ n2)
% 139.99/20.61 | (stoppedIn @ X0 @ filling @ n1)
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1053, zip_derived_cl94768])).
% 139.99/20.61 thf(zip_derived_cl3039, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ~ (stoppedIn @ X0 @ X1 @ n1)),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl3038])).
% 139.99/20.61 thf(zip_derived_cl95116, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((sk__1 @ n2 @ X1 @ X0) = (n1))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ n2)
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ n2))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl95105, zip_derived_cl3039])).
% 139.99/20.61 thf(zip_derived_cl95117, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ n2) | ((sk__1 @ n2 @ X1 @ X0) = (n1)))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl95116])).
% 139.99/20.61 thf(zip_derived_cl16111, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | (holdsAt @ (waterLevel @ n3) @ (sk__1 @ X2 @ X1 @ X0)))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl16104, zip_derived_cl67])).
% 139.99/20.61 thf(zip_derived_cl95284, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ n2)
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ n2)
% 139.99/20.61 | (holdsAt @ (waterLevel @ n3) @ n1))),
% 139.99/20.61 inference('s_sup+', [status(thm)],
% 139.99/20.61 [zip_derived_cl95117, zip_derived_cl16111])).
% 139.99/20.61 thf(zip_derived_cl115, plain, ( (holdsAt @ (waterLevel @ n3) @ n3)),
% 139.99/20.61 inference('cnf', [status(esa)], [waterLevel_3])).
% 139.99/20.61 thf(zip_derived_cl909, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (releasedAt @ X0 @ n0)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n1)
% 139.99/20.61 | ((X0) = (waterLevel @ (sk__10 @ X0))))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl585])).
% 139.99/20.61 thf(zip_derived_cl13124, plain, ( (holdsAt @ (waterLevel @ n1) @ n1)),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl13122, zip_derived_cl109])).
% 139.99/20.61 thf(same_waterLevel, axiom,
% 139.99/20.61 (![Time:$i,Height1:$i,Height2:$i]:
% 139.99/20.61 ( ( ( holdsAt @ ( waterLevel @ Height1 ) @ Time ) &
% 139.99/20.61 ( holdsAt @ ( waterLevel @ Height2 ) @ Time ) ) =>
% 139.99/20.61 ( ( Height1 ) = ( Height2 ) ) ))).
% 139.99/20.61 thf(zip_derived_cl64, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X0) @ X1)
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ X2) @ X1)
% 139.99/20.61 | ((X0) = (X2)))),
% 139.99/20.61 inference('cnf', [status(esa)], [same_waterLevel])).
% 139.99/20.61 thf(zip_derived_cl13140, plain,
% 139.99/20.61 (![X0 : $i]: (~ (holdsAt @ (waterLevel @ X0) @ n1) | ((n1) = (X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl13124, zip_derived_cl64])).
% 139.99/20.61 thf(zip_derived_cl13187, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (releasedAt @ X0 @ n1)
% 139.99/20.61 | (releasedAt @ X0 @ n0)
% 139.99/20.61 | ~ (holdsAt @ X0 @ n1)
% 139.99/20.61 | ((n1) = (sk__10 @ X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl909, zip_derived_cl13140])).
% 139.99/20.61 thf(zip_derived_cl909, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (releasedAt @ X0 @ n0)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n1)
% 139.99/20.61 | ((X0) = (waterLevel @ (sk__10 @ X0))))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl585])).
% 139.99/20.61 thf(zip_derived_cl115, plain, ( (holdsAt @ (waterLevel @ n3) @ n3)),
% 139.99/20.61 inference('cnf', [status(esa)], [waterLevel_3])).
% 139.99/20.61 thf(zip_derived_cl64, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X0) @ X1)
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ X2) @ X1)
% 139.99/20.61 | ((X0) = (X2)))),
% 139.99/20.61 inference('cnf', [status(esa)], [same_waterLevel])).
% 139.99/20.61 thf(zip_derived_cl822, plain,
% 139.99/20.61 (![X0 : $i]: (~ (holdsAt @ (waterLevel @ X0) @ n3) | ((n3) = (X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl64])).
% 139.99/20.61 thf(zip_derived_cl1826, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (releasedAt @ X0 @ n1)
% 139.99/20.61 | (releasedAt @ X0 @ n0)
% 139.99/20.61 | ~ (holdsAt @ X0 @ n3)
% 139.99/20.61 | ((n3) = (sk__10 @ X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl909, zip_derived_cl822])).
% 139.99/20.61 thf(zip_derived_cl68891, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (holdsAt @ X0 @ n1)
% 139.99/20.61 | (releasedAt @ X0 @ n0)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n1)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n1)
% 139.99/20.61 | (releasedAt @ X0 @ n0)
% 139.99/20.61 | ~ (holdsAt @ X0 @ n3)
% 139.99/20.61 | ((n3) = (n1)))),
% 139.99/20.61 inference('s_sup+', [status(thm)],
% 139.99/20.61 [zip_derived_cl13187, zip_derived_cl1826])).
% 139.99/20.61 thf(zip_derived_cl68896, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (((n3) = (n1))
% 139.99/20.61 | ~ (holdsAt @ X0 @ n3)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n1)
% 139.99/20.61 | (releasedAt @ X0 @ n0)
% 139.99/20.61 | ~ (holdsAt @ X0 @ n1))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl68891])).
% 139.99/20.61 thf(zip_derived_cl676, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n1)) | (less @ X0 @ n2))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl91])).
% 139.99/20.61 thf(zip_derived_cl677, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n2)) | (less @ X0 @ n3))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl86, zip_derived_cl93])).
% 139.99/20.61 thf(zip_derived_cl106, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [less_property])).
% 139.99/20.61 thf(zip_derived_cl712, plain,
% 139.99/20.61 (![X0 : $i]: (((X0) != (n2)) | ~ (less @ n3 @ X0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl677, zip_derived_cl106])).
% 139.99/20.61 thf(zip_derived_cl718, plain, (~ (less @ n3 @ n2)),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl712])).
% 139.99/20.61 thf(zip_derived_cl719, plain, (((n3) != (n1))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl676, zip_derived_cl718])).
% 139.99/20.61 thf(zip_derived_cl68897, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (holdsAt @ X0 @ n3)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n1)
% 139.99/20.61 | (releasedAt @ X0 @ n0)
% 139.99/20.61 | ~ (holdsAt @ X0 @ n1))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl68896, zip_derived_cl719])).
% 139.99/20.61 thf(zip_derived_cl68909, plain,
% 139.99/20.61 ((~ (releasedAt @ (waterLevel @ n3) @ n1)
% 139.99/20.61 | (releasedAt @ (waterLevel @ n3) @ n0)
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ n3) @ n1))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl115, zip_derived_cl68897])).
% 139.99/20.61 thf(zip_derived_cl9443, plain,
% 139.99/20.61 (![X0 : $i]: (releasedAt @ (waterLevel @ X0) @ n1)),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl9442])).
% 139.99/20.61 thf(zip_derived_cl112, plain,
% 139.99/20.61 (![X0 : $i]: ~ (releasedAt @ (waterLevel @ X0) @ n0)),
% 139.99/20.61 inference('cnf', [status(esa)], [not_released_waterLevel_0])).
% 139.99/20.61 thf(zip_derived_cl68912, plain, (~ (holdsAt @ (waterLevel @ n3) @ n1)),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl68909, zip_derived_cl9443, zip_derived_cl112])).
% 139.99/20.61 thf(zip_derived_cl95471, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ n2) | ~ (stoppedIn @ X0 @ X1 @ n2))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl95284, zip_derived_cl68912])).
% 139.99/20.61 thf(zip_derived_cl95472, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ~ (stoppedIn @ X0 @ X1 @ n2)),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl95471])).
% 139.99/20.61 thf(zip_derived_cl97412, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (((sk__1 @ X2 @ X1 @ X0) != (n1)) | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl95024, zip_derived_cl95472])).
% 139.99/20.61 thf(zip_derived_cl123940, plain,
% 139.99/20.61 (( (holdsAt @ filling @ n3)
% 139.99/20.61 | ((sk__1 @ n4 @ filling @ n0) = (n3))
% 139.99/20.61 | (happens @ overflow @ n2)
% 139.99/20.61 | ~ (stoppedIn @ n0 @ filling @ n4))),
% 139.99/20.61 inference('clc', [status(thm)],
% 139.99/20.61 [zip_derived_cl123939, zip_derived_cl97412])).
% 139.99/20.61 thf(zip_derived_cl123942, plain,
% 139.99/20.61 ((~ (holdsAt @ filling @ n2)
% 139.99/20.61 | (releasedAt @ filling @ n3)
% 139.99/20.61 | (holdsAt @ filling @ n3)
% 139.99/20.61 | ~ (less @ n0 @ n2)
% 139.99/20.61 | (holdsAt @ filling @ n3)
% 139.99/20.61 | ((sk__1 @ n4 @ filling @ n0) = (n3))
% 139.99/20.61 | (happens @ overflow @ n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1311, zip_derived_cl123940])).
% 139.99/20.61 thf(zip_derived_cl50498, plain, ( (holdsAt @ filling @ n2)),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl13124, zip_derived_cl50486])).
% 139.99/20.61 thf(zip_derived_cl12210, plain, (~ (releasedAt @ filling @ n3)),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl12206])).
% 139.99/20.61 thf(zip_derived_cl73149, plain, ( (less @ n0 @ n2)),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl72925, zip_derived_cl709])).
% 139.99/20.61 thf(zip_derived_cl123944, plain,
% 139.99/20.61 (( (holdsAt @ filling @ n3)
% 139.99/20.61 | (holdsAt @ filling @ n3)
% 139.99/20.61 | ((sk__1 @ n4 @ filling @ n0) = (n3))
% 139.99/20.61 | (happens @ overflow @ n2))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl123942, zip_derived_cl50498,
% 139.99/20.61 zip_derived_cl12210, zip_derived_cl73149])).
% 139.99/20.61 thf(zip_derived_cl123945, plain,
% 139.99/20.61 (( (happens @ overflow @ n2)
% 139.99/20.61 | ((sk__1 @ n4 @ filling @ n0) = (n3))
% 139.99/20.61 | (holdsAt @ filling @ n3))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl123944])).
% 139.99/20.61 thf(zip_derived_cl16040, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 ( (happens @ overflow @ (sk__1 @ X2 @ X1 @ X0))
% 139.99/20.61 | ~ (stoppedIn @ X0 @ X1 @ X2))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl16038])).
% 139.99/20.61 thf(zip_derived_cl577, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (happens @ X0 @ X1) | (zip_tseitin_4 @ X1 @ X0) | ((X0) = (tapOn)))),
% 139.99/20.61 inference('dp-resolution', [status(thm)],
% 139.99/20.61 [zip_derived_cl60, zip_derived_cl57])).
% 139.99/20.61 thf(zip_derived_cl54, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (holdsAt @ filling @ X0) | ~ (zip_tseitin_4 @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 139.99/20.61 thf(zip_derived_cl882, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X0) = (tapOn)) | ~ (happens @ X0 @ X1) | (holdsAt @ filling @ X1))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl577, zip_derived_cl54])).
% 139.99/20.61 thf(zip_derived_cl16105, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | ((overflow) = (tapOn))
% 139.99/20.61 | (holdsAt @ filling @ (sk__1 @ X2 @ X1 @ X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl16040, zip_derived_cl882])).
% 139.99/20.61 thf(zip_derived_cl67, plain, (((overflow) != (tapOn))),
% 139.99/20.61 inference('cnf', [status(esa)], [overflow_not_tapOn])).
% 139.99/20.61 thf(zip_derived_cl16112, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (stoppedIn @ X0 @ X1 @ X2)
% 139.99/20.61 | (holdsAt @ filling @ (sk__1 @ X2 @ X1 @ X0)))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl16105, zip_derived_cl67])).
% 139.99/20.61 thf(zip_derived_cl124014, plain,
% 139.99/20.61 (( (holdsAt @ filling @ n3)
% 139.99/20.61 | (happens @ overflow @ n2)
% 139.99/20.61 | ~ (stoppedIn @ n0 @ filling @ n4)
% 139.99/20.61 | (holdsAt @ filling @ n3))),
% 139.99/20.61 inference('s_sup+', [status(thm)],
% 139.99/20.61 [zip_derived_cl123945, zip_derived_cl16112])).
% 139.99/20.61 thf(zip_derived_cl124308, plain,
% 139.99/20.61 ((~ (stoppedIn @ n0 @ filling @ n4)
% 139.99/20.61 | (happens @ overflow @ n2)
% 139.99/20.61 | (holdsAt @ filling @ n3))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl124014])).
% 139.99/20.61 thf(zip_derived_cl124513, plain,
% 139.99/20.61 ((~ (holdsAt @ filling @ n2)
% 139.99/20.61 | (releasedAt @ filling @ n3)
% 139.99/20.61 | (holdsAt @ filling @ n3)
% 139.99/20.61 | ~ (less @ n0 @ n2)
% 139.99/20.61 | (happens @ overflow @ n2)
% 139.99/20.61 | (holdsAt @ filling @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1311, zip_derived_cl124308])).
% 139.99/20.61 thf(zip_derived_cl50498, plain, ( (holdsAt @ filling @ n2)),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl13124, zip_derived_cl50486])).
% 139.99/20.61 thf(zip_derived_cl73149, plain, ( (less @ n0 @ n2)),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl72925, zip_derived_cl709])).
% 139.99/20.61 thf(zip_derived_cl124515, plain,
% 139.99/20.61 (( (releasedAt @ filling @ n3)
% 139.99/20.61 | (holdsAt @ filling @ n3)
% 139.99/20.61 | (happens @ overflow @ n2)
% 139.99/20.61 | (holdsAt @ filling @ n3))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl124513, zip_derived_cl50498, zip_derived_cl73149])).
% 139.99/20.61 thf(zip_derived_cl124516, plain,
% 139.99/20.61 (( (happens @ overflow @ n2)
% 139.99/20.61 | (holdsAt @ filling @ n3)
% 139.99/20.61 | (releasedAt @ filling @ n3))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl124515])).
% 139.99/20.61 thf(zip_derived_cl12210, plain, (~ (releasedAt @ filling @ n3)),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl12206])).
% 139.99/20.61 thf(zip_derived_cl124538, plain,
% 139.99/20.61 (( (holdsAt @ filling @ n3) | (happens @ overflow @ n2))),
% 139.99/20.61 inference('clc', [status(thm)],
% 139.99/20.61 [zip_derived_cl124516, zip_derived_cl12210])).
% 139.99/20.61 thf(zip_derived_cl881, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (((X0) = (tapOn))
% 139.99/20.61 | ~ (happens @ X0 @ X1)
% 139.99/20.61 | (holdsAt @ (waterLevel @ n3) @ X1))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl577, zip_derived_cl53])).
% 139.99/20.61 thf(zip_derived_cl124539, plain,
% 139.99/20.61 (( (holdsAt @ filling @ n3)
% 139.99/20.61 | ((overflow) = (tapOn))
% 139.99/20.61 | (holdsAt @ (waterLevel @ n3) @ n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl124538, zip_derived_cl881])).
% 139.99/20.61 thf(zip_derived_cl67, plain, (((overflow) != (tapOn))),
% 139.99/20.61 inference('cnf', [status(esa)], [overflow_not_tapOn])).
% 139.99/20.61 thf(zip_derived_cl124558, plain,
% 139.99/20.61 (( (holdsAt @ filling @ n3) | (holdsAt @ (waterLevel @ n3) @ n2))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl124539, zip_derived_cl67])).
% 139.99/20.61 thf(zip_derived_cl7063, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X1) @ X0)
% 139.99/20.61 | (initiates @ overflow @ (waterLevel @ X1) @ X0))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl1444])).
% 139.99/20.61 thf(zip_derived_cl1107, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ X1 @ X0)
% 139.99/20.61 | (releasedAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | (holdsAt @ X1 @ (plus @ X0 @ n1))
% 139.99/20.61 | ((X0) = (n0))
% 139.99/20.61 | ((sk__4 @ X0 @ X1) = (overflow)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl889])).
% 139.99/20.61 thf(zip_derived_cl26711, plain, ( (releasedAt @ (waterLevel @ n3) @ n3)),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl26709, zip_derived_cl115])).
% 139.99/20.61 thf(zip_derived_cl50498, plain, ( (holdsAt @ filling @ n2)),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl13124, zip_derived_cl50486])).
% 139.99/20.61 thf(zip_derived_cl12, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (holdsAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | (happens @ (sk__4 @ X1 @ X0) @ X1)
% 139.99/20.61 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 139.99/20.61 | ~ (holdsAt @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [keep_holding])).
% 139.99/20.61 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_2])).
% 139.99/20.61 thf(zip_derived_cl772, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 139.99/20.61 (~ (happens @ X2 @ X0)
% 139.99/20.61 | ~ (initiates @ X2 @ X1 @ X0)
% 139.99/20.61 | ~ (releasedAt @ X1 @ (plus @ n1 @ X0)))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl24])).
% 139.99/20.61 thf(zip_derived_cl1481, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (happens @ X1 @ n2)
% 139.99/20.61 | ~ (initiates @ X1 @ X0 @ n2)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl772])).
% 139.99/20.61 thf(zip_derived_cl6447, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ X0 @ n2)
% 139.99/20.61 | (releasedAt @ X0 @ (plus @ n2 @ n1))
% 139.99/20.61 | (holdsAt @ X0 @ (plus @ n2 @ n1))
% 139.99/20.61 | ~ (initiates @ (sk__4 @ n2 @ X0) @ X1 @ n2)
% 139.99/20.61 | ~ (releasedAt @ X1 @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl1481])).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_2])).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_2])).
% 139.99/20.61 thf(zip_derived_cl6451, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ X0 @ n2)
% 139.99/20.61 | (releasedAt @ X0 @ n3)
% 139.99/20.61 | (holdsAt @ X0 @ n3)
% 139.99/20.61 | ~ (initiates @ (sk__4 @ n2 @ X0) @ X1 @ n2)
% 139.99/20.61 | ~ (releasedAt @ X1 @ n3))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl6447, zip_derived_cl83, zip_derived_cl78,
% 139.99/20.61 zip_derived_cl83, zip_derived_cl78])).
% 139.99/20.61 thf(zip_derived_cl109483, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (releasedAt @ filling @ n3)
% 139.99/20.61 | (holdsAt @ filling @ n3)
% 139.99/20.61 | ~ (initiates @ (sk__4 @ n2 @ filling) @ X0 @ n2)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl50498, zip_derived_cl6451])).
% 139.99/20.61 thf(zip_derived_cl12210, plain, (~ (releasedAt @ filling @ n3)),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl12206])).
% 139.99/20.61 thf(zip_derived_cl109486, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (holdsAt @ filling @ n3)
% 139.99/20.61 | ~ (initiates @ (sk__4 @ n2 @ filling) @ X0 @ n2)
% 139.99/20.61 | ~ (releasedAt @ X0 @ n3))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl109483, zip_derived_cl12210])).
% 139.99/20.61 thf(zip_derived_cl109504, plain,
% 139.99/20.61 (( (holdsAt @ filling @ n3)
% 139.99/20.61 | ~ (initiates @ (sk__4 @ n2 @ filling) @ (waterLevel @ n3) @ n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl26711, zip_derived_cl109486])).
% 139.99/20.61 thf(zip_derived_cl109515, plain,
% 139.99/20.61 ((((n2) = (n0))
% 139.99/20.61 | (holdsAt @ filling @ (plus @ n2 @ n1))
% 139.99/20.61 | (releasedAt @ filling @ (plus @ n2 @ n1))
% 139.99/20.61 | ~ (holdsAt @ filling @ n2)
% 139.99/20.61 | (holdsAt @ filling @ n3)
% 139.99/20.61 | ~ (initiates @ overflow @ (waterLevel @ n3) @ n2))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl1107, zip_derived_cl109504])).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_2])).
% 139.99/20.61 thf(zip_derived_cl83, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 139.99/20.61 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 139.99/20.61 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 139.99/20.61 inference('cnf', [status(esa)], [plus1_2])).
% 139.99/20.61 thf(zip_derived_cl12210, plain, (~ (releasedAt @ filling @ n3)),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl12206])).
% 139.99/20.61 thf(zip_derived_cl50498, plain, ( (holdsAt @ filling @ n2)),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl13124, zip_derived_cl50486])).
% 139.99/20.61 thf(zip_derived_cl109524, plain,
% 139.99/20.61 ((((n2) = (n0))
% 139.99/20.61 | (holdsAt @ filling @ n3)
% 139.99/20.61 | (holdsAt @ filling @ n3)
% 139.99/20.61 | ~ (initiates @ overflow @ (waterLevel @ n3) @ n2))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl109515, zip_derived_cl83, zip_derived_cl78,
% 139.99/20.61 zip_derived_cl83, zip_derived_cl78, zip_derived_cl12210,
% 139.99/20.61 zip_derived_cl50498])).
% 139.99/20.61 thf(zip_derived_cl109525, plain,
% 139.99/20.61 ((~ (initiates @ overflow @ (waterLevel @ n3) @ n2)
% 139.99/20.61 | (holdsAt @ filling @ n3)
% 139.99/20.61 | ((n2) = (n0)))),
% 139.99/20.61 inference('simplify', [status(thm)], [zip_derived_cl109524])).
% 139.99/20.61 thf(zip_derived_cl709, plain, (((n2) != (n0))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl675, zip_derived_cl708])).
% 139.99/20.61 thf(zip_derived_cl109526, plain,
% 139.99/20.61 ((~ (initiates @ overflow @ (waterLevel @ n3) @ n2)
% 139.99/20.61 | (holdsAt @ filling @ n3))),
% 139.99/20.61 inference('simplify_reflect-', [status(thm)],
% 139.99/20.61 [zip_derived_cl109525, zip_derived_cl709])).
% 139.99/20.61 thf(zip_derived_cl109540, plain,
% 139.99/20.61 ((~ (holdsAt @ (waterLevel @ n3) @ n2) | (holdsAt @ filling @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl7063, zip_derived_cl109526])).
% 139.99/20.61 thf(zip_derived_cl125054, plain, ( (holdsAt @ filling @ n3)),
% 139.99/20.61 inference('clc', [status(thm)],
% 139.99/20.61 [zip_derived_cl124558, zip_derived_cl109540])).
% 139.99/20.61 thf(zip_derived_cl56, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (zip_tseitin_4 @ X0 @ X1)
% 139.99/20.61 | ((X1) != (overflow))
% 139.99/20.61 | ~ (holdsAt @ filling @ X0)
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ n3) @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 139.99/20.61 thf(zip_derived_cl62, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 ( (happens @ X0 @ X1) | ~ (zip_tseitin_4 @ X1 @ X0))),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_13])).
% 139.99/20.61 thf(zip_derived_cl820, plain,
% 139.99/20.61 (![X0 : $i, X1 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ n3) @ X1)
% 139.99/20.61 | ~ (holdsAt @ filling @ X1)
% 139.99/20.61 | ((X0) != (overflow))
% 139.99/20.61 | (happens @ X0 @ X1))),
% 139.99/20.61 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl62])).
% 139.99/20.61 thf(zip_derived_cl1573, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 ( (happens @ overflow @ X0)
% 139.99/20.61 | ~ (holdsAt @ filling @ X0)
% 139.99/20.61 | ~ (holdsAt @ (waterLevel @ n3) @ X0))),
% 139.99/20.61 inference('eq_res', [status(thm)], [zip_derived_cl820])).
% 139.99/20.61 thf(zip_derived_cl125238, plain,
% 139.99/20.61 (( (happens @ overflow @ n3) | ~ (holdsAt @ (waterLevel @ n3) @ n3))),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl125054, zip_derived_cl1573])).
% 139.99/20.61 thf(zip_derived_cl115, plain, ( (holdsAt @ (waterLevel @ n3) @ n3)),
% 139.99/20.61 inference('cnf', [status(esa)], [waterLevel_3])).
% 139.99/20.61 thf(zip_derived_cl125400, plain, ( (happens @ overflow @ n3)),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl125238, zip_derived_cl115])).
% 139.99/20.61 thf(zip_derived_cl125411, plain,
% 139.99/20.61 (![X0 : $i]:
% 139.99/20.61 (~ (holdsAt @ (waterLevel @ X0) @ n3)
% 139.99/20.61 | (holdsAt @ (waterLevel @ X0) @ n4))),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl16596, zip_derived_cl125400])).
% 139.99/20.61 thf(zip_derived_cl116, plain, (~ (holdsAt @ (waterLevel @ n3) @ n4)),
% 139.99/20.61 inference('cnf', [status(esa)], [zf_stmt_14])).
% 139.99/20.61 thf(zip_derived_cl125598, plain, (~ (holdsAt @ (waterLevel @ n3) @ n3)),
% 139.99/20.61 inference('s_sup-', [status(thm)],
% 139.99/20.61 [zip_derived_cl125411, zip_derived_cl116])).
% 139.99/20.61 thf(zip_derived_cl115, plain, ( (holdsAt @ (waterLevel @ n3) @ n3)),
% 139.99/20.61 inference('cnf', [status(esa)], [waterLevel_3])).
% 139.99/20.61 thf(zip_derived_cl125607, plain, ($false),
% 139.99/20.61 inference('demod', [status(thm)],
% 139.99/20.61 [zip_derived_cl125598, zip_derived_cl115])).
% 139.99/20.61
% 139.99/20.61 % SZS output end Refutation
% 139.99/20.61
% 139.99/20.61
% 139.99/20.61 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 139.99/20.61 % Terminating...
% 140.64/20.71 % Runner terminated.
% 140.66/20.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------