%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CSR013+1 : TPTP v9.2.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.y19E6xavAN true
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:30:50 PM UTC 2025
% Result : Theorem 101.20s 15.09s
% Output : Refutation 101.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CSR013+1 : TPTP v9.2.0. Bugfixed v3.1.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.y19E6xavAN true
% 0.13/0.36 % Computer : n010.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 14:58:53 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.37 % Running in FO mode
% 0.55/0.69 % Total configuration time : 435
% 0.55/0.69 % Estimated wc time : 1092
% 0.55/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 101.20/15.09 % Solved by fo/fo13.sh.
% 101.20/15.09 % done 10869 iterations in 14.238s
% 101.20/15.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 101.20/15.09 % SZS output start Refutation
% 101.20/15.09 thf(waterLevel_type, type, waterLevel: $i > $i).
% 101.20/15.09 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 101.20/15.09 thf(n3_type, type, n3: $i).
% 101.20/15.09 thf(tapOn_type, type, tapOn: $i).
% 101.20/15.09 thf(spilling_type, type, spilling: $i).
% 101.20/15.09 thf(sk__11_type, type, sk__11: $i).
% 101.20/15.09 thf(initiates_type, type, initiates: $i > $i > $i > $o).
% 101.20/15.09 thf(happens_type, type, happens: $i > $i > $o).
% 101.20/15.09 thf(n1_type, type, n1: $i).
% 101.20/15.09 thf(filling_type, type, filling: $i).
% 101.20/15.09 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 101.20/15.09 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 101.20/15.09 thf(trajectory_type, type, trajectory: $i > $i > $i > $i > $o).
% 101.20/15.09 thf(n2_type, type, n2: $i).
% 101.20/15.09 thf(overflow_type, type, overflow: $i).
% 101.20/15.09 thf(sk__type, type, sk_: $i > $i > $i > $i).
% 101.20/15.09 thf(less_type, type, less: $i > $i > $o).
% 101.20/15.09 thf(plus_type, type, plus: $i > $i > $i).
% 101.20/15.09 thf(stoppedIn_type, type, stoppedIn: $i > $i > $i > $o).
% 101.20/15.09 thf(holdsAt_type, type, holdsAt: $i > $i > $o).
% 101.20/15.09 thf(n0_type, type, n0: $i).
% 101.20/15.09 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 101.20/15.09 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $o).
% 101.20/15.09 thf(terminates_type, type, terminates: $i > $i > $i > $o).
% 101.20/15.09 thf(sk__1_type, type, sk__1: $i > $i > $i > $i).
% 101.20/15.09 thf(tapOff_type, type, tapOff: $i).
% 101.20/15.09 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 101.20/15.09 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 101.20/15.09 thf(less_or_equal, axiom,
% 101.20/15.09 (![X:$i,Y:$i]:
% 101.20/15.09 ( ( less_or_equal @ X @ Y ) <=> ( ( less @ X @ Y ) | ( ( X ) = ( Y ) ) ) ))).
% 101.20/15.09 thf(zip_derived_cl86, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ((X0) != (X1)))),
% 101.20/15.09 inference('cnf', [status(esa)], [less_or_equal])).
% 101.20/15.09 thf(zip_derived_cl134, plain, (![X0 : $i]: (less_or_equal @ X0 @ X0)),
% 101.20/15.09 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 101.20/15.09 thf(less3, axiom,
% 101.20/15.09 (![X:$i]: ( ( less @ X @ n3 ) <=> ( less_or_equal @ X @ n2 ) ))).
% 101.20/15.09 thf(zip_derived_cl93, plain,
% 101.20/15.09 (![X0 : $i]: ( (less @ X0 @ n3) | ~ (less_or_equal @ X0 @ n2))),
% 101.20/15.09 inference('cnf', [status(esa)], [less3])).
% 101.20/15.09 thf(zip_derived_cl167, plain, ( (less @ n2 @ n3)),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl93])).
% 101.20/15.09 thf(nothing_terminates_filling_2, conjecture,
% 101.20/15.09 (~( ?[Event:$i]:
% 101.20/15.09 ( ( terminates @ Event @ filling @ n2 ) & ( happens @ Event @ n2 ) ) ))).
% 101.20/15.09 thf(zf_stmt_0, negated_conjecture,
% 101.20/15.09 (?[Event:$i]:
% 101.20/15.09 ( ( terminates @ Event @ filling @ n2 ) & ( happens @ Event @ n2 ) )),
% 101.20/15.09 inference('cnf.neg', [status(esa)], [nothing_terminates_filling_2])).
% 101.20/15.09 thf(zip_derived_cl115, plain, ( (happens @ sk__11 @ n2)),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 101.20/15.09 thf(happens_all_defn, axiom,
% 101.20/15.09 (![Event:$i,Time:$i]:
% 101.20/15.09 ( ( happens @ Event @ Time ) <=>
% 101.20/15.09 ( ( ( ( Event ) = ( overflow ) ) & ( holdsAt @ filling @ Time ) &
% 101.20/15.09 ( holdsAt @ ( waterLevel @ n3 ) @ Time ) ) |
% 101.20/15.09 ( ( ( Time ) = ( n0 ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 101.20/15.09 thf(zf_stmt_1, type, zip_tseitin_5 : $i > $i > $o).
% 101.20/15.09 thf(zf_stmt_2, axiom,
% 101.20/15.09 (![Time:$i,Event:$i]:
% 101.20/15.09 ( ( zip_tseitin_5 @ Time @ Event ) <=>
% 101.20/15.09 ( ( ( Event ) = ( tapOn ) ) & ( ( Time ) = ( n0 ) ) ) ))).
% 101.20/15.09 thf(zf_stmt_3, type, zip_tseitin_4 : $i > $i > $o).
% 101.20/15.09 thf(zf_stmt_4, axiom,
% 101.20/15.09 (![Time:$i,Event:$i]:
% 101.20/15.09 ( ( zip_tseitin_4 @ Time @ Event ) <=>
% 101.20/15.09 ( ( holdsAt @ ( waterLevel @ n3 ) @ Time ) &
% 101.20/15.09 ( holdsAt @ filling @ Time ) & ( ( Event ) = ( overflow ) ) ) ))).
% 101.20/15.09 thf(zf_stmt_5, axiom,
% 101.20/15.09 (![Event:$i,Time:$i]:
% 101.20/15.09 ( ( happens @ Event @ Time ) <=>
% 101.20/15.09 ( ( zip_tseitin_5 @ Time @ Event ) | ( zip_tseitin_4 @ Time @ Event ) ) ))).
% 101.20/15.09 thf(zip_derived_cl60, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 ( (zip_tseitin_4 @ X0 @ X1)
% 101.20/15.09 | (zip_tseitin_5 @ X0 @ X1)
% 101.20/15.09 | ~ (happens @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_5])).
% 101.20/15.09 thf(zip_derived_cl610, plain,
% 101.20/15.09 (( (zip_tseitin_4 @ n2 @ sk__11) | (zip_tseitin_5 @ n2 @ sk__11))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl60])).
% 101.20/15.09 thf(zip_derived_cl57, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]: (((X0) = (tapOn)) | ~ (zip_tseitin_5 @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_2])).
% 101.20/15.09 thf(zip_derived_cl611, plain,
% 101.20/15.09 (( (zip_tseitin_4 @ n2 @ sk__11) | ((sk__11) = (tapOn)))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl610, zip_derived_cl57])).
% 101.20/15.09 thf(zip_derived_cl54, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 ( (holdsAt @ filling @ X0) | ~ (zip_tseitin_4 @ X0 @ X1))),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_4])).
% 101.20/15.09 thf(zip_derived_cl617, plain,
% 101.20/15.09 ((((sk__11) = (tapOn)) | (holdsAt @ filling @ n2))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl611, zip_derived_cl54])).
% 101.20/15.09 thf(zip_derived_cl116, plain, ( (terminates @ sk__11 @ filling @ n2)),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 101.20/15.09 thf(terminates_all_defn, axiom,
% 101.20/15.09 (![Event:$i,Fluent:$i,Time:$i]:
% 101.20/15.09 ( ( terminates @ Event @ Fluent @ Time ) <=>
% 101.20/15.09 ( ( ( ( Event ) = ( tapOff ) ) & ( ( Fluent ) = ( filling ) ) ) |
% 101.20/15.09 ( ( ( Event ) = ( overflow ) ) & ( ( Fluent ) = ( filling ) ) ) ) ))).
% 101.20/15.09 thf(zip_derived_cl45, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.20/15.09 (((X0) = (overflow))
% 101.20/15.09 | ((X0) = (tapOff))
% 101.20/15.09 | ~ (terminates @ X0 @ X1 @ X2))),
% 101.20/15.09 inference('cnf', [status(esa)], [terminates_all_defn])).
% 101.20/15.09 thf(zip_derived_cl177, plain,
% 101.20/15.09 ((((sk__11) = (overflow)) | ((sk__11) = (tapOff)))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl45])).
% 101.20/15.09 thf(zip_derived_cl611, plain,
% 101.20/15.09 (( (zip_tseitin_4 @ n2 @ sk__11) | ((sk__11) = (tapOn)))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl610, zip_derived_cl57])).
% 101.20/15.09 thf(zip_derived_cl620, plain,
% 101.20/15.09 ((((sk__11) = (overflow))
% 101.20/15.09 | (zip_tseitin_4 @ n2 @ tapOff)
% 101.20/15.09 | ((tapOff) = (tapOn)))),
% 101.20/15.09 inference('s_sup+', [status(thm)], [zip_derived_cl177, zip_derived_cl611])).
% 101.20/15.09 thf(tapOff_not_tapOn, axiom, (( tapOff ) != ( tapOn ))).
% 101.20/15.09 thf(zip_derived_cl65, plain, (((tapOff) != (tapOn))),
% 101.20/15.09 inference('cnf', [status(esa)], [tapOff_not_tapOn])).
% 101.20/15.09 thf(zip_derived_cl621, plain,
% 101.20/15.09 ((((sk__11) = (overflow)) | (zip_tseitin_4 @ n2 @ tapOff))),
% 101.20/15.09 inference('simplify_reflect-', [status(thm)],
% 101.20/15.09 [zip_derived_cl620, zip_derived_cl65])).
% 101.20/15.09 thf(zip_derived_cl55, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]: (((X0) = (overflow)) | ~ (zip_tseitin_4 @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_4])).
% 101.20/15.09 thf(zip_derived_cl670, plain,
% 101.20/15.09 ((((sk__11) = (overflow)) | ((tapOff) = (overflow)))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl621, zip_derived_cl55])).
% 101.20/15.09 thf(tapOff_not_overflow, axiom, (( tapOff ) != ( overflow ))).
% 101.20/15.09 thf(zip_derived_cl66, plain, (((tapOff) != (overflow))),
% 101.20/15.09 inference('cnf', [status(esa)], [tapOff_not_overflow])).
% 101.20/15.09 thf(zip_derived_cl672, plain, (((sk__11) = (overflow))),
% 101.20/15.09 inference('simplify_reflect-', [status(thm)],
% 101.20/15.09 [zip_derived_cl670, zip_derived_cl66])).
% 101.20/15.09 thf(zip_derived_cl679, plain,
% 101.20/15.09 ((((overflow) = (tapOn)) | (holdsAt @ filling @ n2))),
% 101.20/15.09 inference('demod', [status(thm)], [zip_derived_cl617, zip_derived_cl672])).
% 101.20/15.09 thf(overflow_not_tapOn, axiom, (( overflow ) != ( tapOn ))).
% 101.20/15.09 thf(zip_derived_cl67, plain, (((overflow) != (tapOn))),
% 101.20/15.09 inference('cnf', [status(esa)], [overflow_not_tapOn])).
% 101.20/15.09 thf(zip_derived_cl680, plain, ( (holdsAt @ filling @ n2)),
% 101.20/15.09 inference('simplify_reflect-', [status(thm)],
% 101.20/15.09 [zip_derived_cl679, zip_derived_cl67])).
% 101.20/15.09 thf(waterLevel_0, axiom, (holdsAt @ ( waterLevel @ n0 ) @ n0)).
% 101.20/15.09 thf(zip_derived_cl109, plain, ( (holdsAt @ (waterLevel @ n0) @ n0)),
% 101.20/15.09 inference('cnf', [status(esa)], [waterLevel_0])).
% 101.20/15.09 thf(plus0_2, axiom, (( plus @ n0 @ n2 ) = ( n2 ))).
% 101.20/15.09 thf(zip_derived_cl75, plain, (((plus @ n0 @ n2) = (n2))),
% 101.20/15.09 inference('cnf', [status(esa)], [plus0_2])).
% 101.20/15.09 thf(change_of_waterLevel, axiom,
% 101.20/15.09 (![Height1:$i,Time:$i,Height2:$i,Offset:$i]:
% 101.20/15.09 ( ( ( holdsAt @ ( waterLevel @ Height1 ) @ Time ) &
% 101.20/15.09 ( ( Height2 ) = ( plus @ Height1 @ Offset ) ) ) =>
% 101.20/15.09 ( trajectory @ filling @ Time @ ( waterLevel @ Height2 ) @ Offset ) ))).
% 101.20/15.09 thf(zip_derived_cl63, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 101.20/15.09 (~ (holdsAt @ (waterLevel @ X0) @ X1)
% 101.20/15.09 | ((X3) != (plus @ X0 @ X2))
% 101.20/15.09 | (trajectory @ filling @ X1 @ (waterLevel @ X3) @ X2))),
% 101.20/15.09 inference('cnf', [status(esa)], [change_of_waterLevel])).
% 101.20/15.09 thf(zip_derived_cl642, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 (~ (holdsAt @ (waterLevel @ n0) @ X1)
% 101.20/15.09 | ((X0) != (n2))
% 101.20/15.09 | (trajectory @ filling @ X1 @ (waterLevel @ X0) @ n2))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl63])).
% 101.20/15.09 thf(zip_derived_cl7147, plain,
% 101.20/15.09 (![X0 : $i]:
% 101.20/15.09 ( (trajectory @ filling @ X0 @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | ~ (holdsAt @ (waterLevel @ n0) @ X0))),
% 101.20/15.09 inference('eq_res', [status(thm)], [zip_derived_cl642])).
% 101.20/15.09 thf(zip_derived_cl8800, plain,
% 101.20/15.09 ( (trajectory @ filling @ n0 @ (waterLevel @ n2) @ n2)),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl109, zip_derived_cl7147])).
% 101.20/15.09 thf(initiates_all_defn, axiom,
% 101.20/15.09 (![Event:$i,Fluent:$i,Time:$i]:
% 101.20/15.09 ( ( initiates @ Event @ Fluent @ Time ) <=>
% 101.20/15.09 ( ( ?[Height:$i]:
% 101.20/15.09 ( ( holdsAt @ ( waterLevel @ Height ) @ Time ) &
% 101.20/15.09 ( ( Event ) = ( overflow ) ) &
% 101.20/15.09 ( ( Fluent ) = ( waterLevel @ Height ) ) ) ) |
% 101.20/15.09 ( ?[Height:$i]:
% 101.20/15.09 ( ( holdsAt @ ( waterLevel @ Height ) @ Time ) &
% 101.20/15.09 ( ( Event ) = ( tapOff ) ) &
% 101.20/15.09 ( ( Fluent ) = ( waterLevel @ Height ) ) ) ) |
% 101.20/15.09 ( ( ( Fluent ) = ( spilling ) ) & ( ( Event ) = ( overflow ) ) ) |
% 101.20/15.09 ( ( ( Fluent ) = ( filling ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 101.20/15.09 thf(zf_stmt_6, axiom,
% 101.20/15.09 (![Fluent:$i,Event:$i]:
% 101.20/15.09 ( ( zip_tseitin_3 @ Fluent @ Event ) <=>
% 101.20/15.09 ( ( ( Event ) = ( tapOn ) ) & ( ( Fluent ) = ( filling ) ) ) ))).
% 101.20/15.09 thf(zip_derived_cl38, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 ( (zip_tseitin_3 @ X0 @ X1) | ((X0) != (filling)) | ((X1) != (tapOn)))),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_6])).
% 101.20/15.09 thf(zip_derived_cl137, plain,
% 101.20/15.09 (![X0 : $i]: (((X0) != (tapOn)) | (zip_tseitin_3 @ filling @ X0))),
% 101.20/15.09 inference('eq_res', [status(thm)], [zip_derived_cl38])).
% 101.20/15.09 thf(zip_derived_cl138, plain, ( (zip_tseitin_3 @ filling @ tapOn)),
% 101.20/15.09 inference('eq_res', [status(thm)], [zip_derived_cl137])).
% 101.20/15.09 thf(zf_stmt_7, type, zip_tseitin_3 : $i > $i > $o).
% 101.20/15.09 thf(zf_stmt_8, type, zip_tseitin_2 : $i > $i > $o).
% 101.20/15.09 thf(zf_stmt_9, axiom,
% 101.20/15.09 (![Fluent:$i,Event:$i]:
% 101.20/15.09 ( ( zip_tseitin_2 @ Fluent @ Event ) <=>
% 101.20/15.09 ( ( ( Event ) = ( overflow ) ) & ( ( Fluent ) = ( spilling ) ) ) ))).
% 101.20/15.09 thf(zf_stmt_10, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 101.20/15.09 thf(zf_stmt_11, axiom,
% 101.20/15.09 (![Height:$i,Time:$i,Fluent:$i,Event:$i]:
% 101.20/15.09 ( ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event ) <=>
% 101.20/15.09 ( ( ( Fluent ) = ( waterLevel @ Height ) ) &
% 101.20/15.09 ( ( Event ) = ( tapOff ) ) &
% 101.20/15.09 ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ))).
% 101.20/15.09 thf(zf_stmt_12, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 101.20/15.09 thf(zf_stmt_13, axiom,
% 101.20/15.09 (![Height:$i,Time:$i,Fluent:$i,Event:$i]:
% 101.20/15.09 ( ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) <=>
% 101.20/15.09 ( ( ( Fluent ) = ( waterLevel @ Height ) ) &
% 101.20/15.09 ( ( Event ) = ( overflow ) ) &
% 101.20/15.09 ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ))).
% 101.20/15.09 thf(zf_stmt_14, axiom,
% 101.20/15.09 (![Event:$i,Fluent:$i,Time:$i]:
% 101.20/15.09 ( ( initiates @ Event @ Fluent @ Time ) <=>
% 101.20/15.09 ( ( zip_tseitin_3 @ Fluent @ Event ) |
% 101.20/15.09 ( zip_tseitin_2 @ Fluent @ Event ) |
% 101.20/15.09 ( ?[Height:$i]: ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event ) ) |
% 101.20/15.09 ( ?[Height:$i]: ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) ) ) ))).
% 101.20/15.09 thf(zip_derived_cl40, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.20/15.09 ( (initiates @ X0 @ X1 @ X2) | ~ (zip_tseitin_3 @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_14])).
% 101.20/15.09 thf(zip_derived_cl229, plain,
% 101.20/15.09 (![X0 : $i]: (initiates @ tapOn @ filling @ X0)),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl40])).
% 101.20/15.09 thf(zip_derived_cl59, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 ( (zip_tseitin_5 @ X0 @ X1) | ((X0) != (n0)) | ((X1) != (tapOn)))),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_2])).
% 101.20/15.09 thf(zip_derived_cl157, plain,
% 101.20/15.09 (![X0 : $i]: (((X0) != (tapOn)) | (zip_tseitin_5 @ n0 @ X0))),
% 101.20/15.09 inference('eq_res', [status(thm)], [zip_derived_cl59])).
% 101.20/15.09 thf(zip_derived_cl889, plain, ( (zip_tseitin_5 @ n0 @ tapOn)),
% 101.20/15.09 inference('eq_res', [status(thm)], [zip_derived_cl157])).
% 101.20/15.09 thf(zip_derived_cl61, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 ( (happens @ X0 @ X1) | ~ (zip_tseitin_5 @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_5])).
% 101.20/15.09 thf(zip_derived_cl938, plain, ( (happens @ tapOn @ n0)),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl889, zip_derived_cl61])).
% 101.20/15.09 thf(zip_derived_cl75, plain, (((plus @ n0 @ n2) = (n2))),
% 101.20/15.09 inference('cnf', [status(esa)], [plus0_2])).
% 101.20/15.09 thf(change_holding, axiom,
% 101.20/15.09 (![Event:$i,Time:$i,Fluent:$i,Fluent2:$i,Offset:$i]:
% 101.20/15.09 ( ( ( happens @ Event @ Time ) & ( initiates @ Event @ Fluent @ Time ) &
% 101.20/15.09 ( less @ n0 @ Offset ) &
% 101.20/15.09 ( trajectory @ Fluent @ Time @ Fluent2 @ Offset ) &
% 101.20/15.09 ( ~( stoppedIn @ Time @ Fluent @ ( plus @ Time @ Offset ) ) ) ) =>
% 101.20/15.09 ( holdsAt @ Fluent2 @ ( plus @ Time @ Offset ) ) ))).
% 101.20/15.09 thf(zip_derived_cl10, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 101.20/15.09 (~ (initiates @ X0 @ X1 @ X2)
% 101.20/15.09 | ~ (happens @ X0 @ X2)
% 101.20/15.09 | ~ (less @ n0 @ X3)
% 101.20/15.09 | ~ (trajectory @ X1 @ X2 @ X4 @ X3)
% 101.20/15.09 | (stoppedIn @ X2 @ X1 @ (plus @ X2 @ X3))
% 101.20/15.09 | (holdsAt @ X4 @ (plus @ X2 @ X3)))),
% 101.20/15.09 inference('cnf', [status(esa)], [change_holding])).
% 101.20/15.09 thf(zip_derived_cl198, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.20/15.09 (~ (initiates @ X1 @ X0 @ n0)
% 101.20/15.09 | ~ (happens @ X1 @ n0)
% 101.20/15.09 | ~ (less @ n0 @ n2)
% 101.20/15.09 | ~ (trajectory @ X0 @ n0 @ X2 @ n2)
% 101.20/15.09 | (stoppedIn @ n0 @ X0 @ n2)
% 101.20/15.09 | (holdsAt @ X2 @ n2))),
% 101.20/15.09 inference('s_sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl10])).
% 101.20/15.09 thf(zip_derived_cl134, plain, (![X0 : $i]: (less_or_equal @ X0 @ X0)),
% 101.20/15.09 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 101.20/15.09 thf(less1, axiom,
% 101.20/15.09 (![X:$i]: ( ( less @ X @ n1 ) <=> ( less_or_equal @ X @ n0 ) ))).
% 101.20/15.09 thf(zip_derived_cl89, plain,
% 101.20/15.09 (![X0 : $i]: ( (less @ X0 @ n1) | ~ (less_or_equal @ X0 @ n0))),
% 101.20/15.09 inference('cnf', [status(esa)], [less1])).
% 101.20/15.09 thf(zip_derived_cl158, plain, ( (less @ n0 @ n1)),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl89])).
% 101.20/15.09 thf(zip_derived_cl85, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ~ (less @ X0 @ X1))),
% 101.20/15.09 inference('cnf', [status(esa)], [less_or_equal])).
% 101.20/15.09 thf(zip_derived_cl164, plain, ( (less_or_equal @ n0 @ n1)),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl85])).
% 101.20/15.09 thf(less2, axiom,
% 101.20/15.09 (![X:$i]: ( ( less @ X @ n2 ) <=> ( less_or_equal @ X @ n1 ) ))).
% 101.20/15.09 thf(zip_derived_cl91, plain,
% 101.20/15.09 (![X0 : $i]: ( (less @ X0 @ n2) | ~ (less_or_equal @ X0 @ n1))),
% 101.20/15.09 inference('cnf', [status(esa)], [less2])).
% 101.20/15.09 thf(zip_derived_cl367, plain, ( (less @ n0 @ n2)),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl91])).
% 101.20/15.09 thf(zip_derived_cl1085, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.20/15.09 (~ (initiates @ X1 @ X0 @ n0)
% 101.20/15.09 | ~ (happens @ X1 @ n0)
% 101.20/15.09 | ~ (trajectory @ X0 @ n0 @ X2 @ n2)
% 101.20/15.09 | (stoppedIn @ n0 @ X0 @ n2)
% 101.20/15.09 | (holdsAt @ X2 @ n2))),
% 101.20/15.09 inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl367])).
% 101.20/15.09 thf(zip_derived_cl1086, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 (~ (initiates @ tapOn @ X0 @ n0)
% 101.20/15.09 | ~ (trajectory @ X0 @ n0 @ X1 @ n2)
% 101.20/15.09 | (stoppedIn @ n0 @ X0 @ n2)
% 101.20/15.09 | (holdsAt @ X1 @ n2))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl938, zip_derived_cl1085])).
% 101.20/15.09 thf(zip_derived_cl14423, plain,
% 101.20/15.09 (![X0 : $i]:
% 101.20/15.09 (~ (trajectory @ filling @ n0 @ X0 @ n2)
% 101.20/15.09 | (stoppedIn @ n0 @ filling @ n2)
% 101.20/15.09 | (holdsAt @ X0 @ n2))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl229, zip_derived_cl1086])).
% 101.20/15.09 thf(zip_derived_cl60248, plain,
% 101.20/15.09 (( (stoppedIn @ n0 @ filling @ n2) | (holdsAt @ (waterLevel @ n2) @ n2))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl8800, zip_derived_cl14423])).
% 101.20/15.09 thf(stoppedin_defn, axiom,
% 101.20/15.09 (![Time1:$i,Fluent:$i,Time2:$i]:
% 101.20/15.09 ( ( stoppedIn @ Time1 @ Fluent @ Time2 ) <=>
% 101.20/15.09 ( ?[Event:$i,Time:$i]:
% 101.20/15.09 ( ( terminates @ Event @ Fluent @ Time ) & ( less @ Time @ Time2 ) &
% 101.20/15.09 ( less @ Time1 @ Time ) & ( happens @ Event @ Time ) ) ) ))).
% 101.20/15.09 thf(zip_derived_cl0, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.20/15.09 ( (terminates @ (sk_ @ X0 @ X1 @ X2) @ X1 @ (sk__1 @ X0 @ X1 @ X2))
% 101.20/15.09 | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [stoppedin_defn])).
% 101.20/15.09 thf(zip_derived_cl60275, plain,
% 101.20/15.09 (( (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | (terminates @ (sk_ @ n2 @ filling @ n0) @ filling @
% 101.20/15.09 (sk__1 @ n2 @ filling @ n0)))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl60248, zip_derived_cl0])).
% 101.20/15.09 thf(zip_derived_cl45, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.20/15.09 (((X0) = (overflow))
% 101.20/15.09 | ((X0) = (tapOff))
% 101.20/15.09 | ~ (terminates @ X0 @ X1 @ X2))),
% 101.20/15.09 inference('cnf', [status(esa)], [terminates_all_defn])).
% 101.20/15.09 thf(zip_derived_cl63470, plain,
% 101.20/15.09 (( (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | ((sk_ @ n2 @ filling @ n0) = (overflow))
% 101.20/15.09 | ((sk_ @ n2 @ filling @ n0) = (tapOff)))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl60275, zip_derived_cl45])).
% 101.20/15.09 thf(zip_derived_cl60248, plain,
% 101.20/15.09 (( (stoppedIn @ n0 @ filling @ n2) | (holdsAt @ (waterLevel @ n2) @ n2))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl8800, zip_derived_cl14423])).
% 101.20/15.09 thf(zip_derived_cl1, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.20/15.09 ( (less @ (sk__1 @ X0 @ X1 @ X2) @ X0) | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [stoppedin_defn])).
% 101.20/15.09 thf(zip_derived_cl60276, plain,
% 101.20/15.09 (( (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | (less @ (sk__1 @ n2 @ filling @ n0) @ n2))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl60248, zip_derived_cl1])).
% 101.20/15.09 thf(less_property, axiom,
% 101.20/15.09 (![X:$i,Y:$i]:
% 101.20/15.09 ( ( less @ X @ Y ) <=> ( ( ~( less @ Y @ X ) ) & ( ( Y ) != ( X ) ) ) ))).
% 101.20/15.09 thf(zip_derived_cl108, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [less_property])).
% 101.20/15.09 thf(zip_derived_cl88, plain,
% 101.20/15.09 (![X0 : $i]: ( (less_or_equal @ X0 @ n0) | ~ (less @ X0 @ n1))),
% 101.20/15.09 inference('cnf', [status(esa)], [less1])).
% 101.20/15.09 thf(zip_derived_cl285, plain,
% 101.20/15.09 (![X0 : $i]:
% 101.20/15.09 ( (less @ n1 @ X0) | ((n1) = (X0)) | (less_or_equal @ X0 @ n0))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl88])).
% 101.20/15.09 thf(zip_derived_cl84, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [less_or_equal])).
% 101.20/15.09 thf(zip_derived_cl2147, plain,
% 101.20/15.09 (![X0 : $i]:
% 101.20/15.09 (((n1) = (X0)) | (less @ n1 @ X0) | ((X0) = (n0)) | (less @ X0 @ n0))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl84])).
% 101.20/15.09 thf(less0, axiom, (~( ?[X:$i]: ( less @ X @ n0 ) ))).
% 101.20/15.09 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 101.20/15.09 inference('cnf', [status(esa)], [less0])).
% 101.20/15.09 thf(zip_derived_cl29296, plain,
% 101.20/15.09 (![X0 : $i]: (((X0) = (n0)) | (less @ n1 @ X0) | ((n1) = (X0)))),
% 101.20/15.09 inference('clc', [status(thm)], [zip_derived_cl2147, zip_derived_cl87])).
% 101.20/15.09 thf(zip_derived_cl108, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [less_property])).
% 101.20/15.09 thf(zip_derived_cl90, plain,
% 101.20/15.09 (![X0 : $i]: ( (less_or_equal @ X0 @ n1) | ~ (less @ X0 @ n2))),
% 101.20/15.09 inference('cnf', [status(esa)], [less2])).
% 101.20/15.09 thf(zip_derived_cl287, plain,
% 101.20/15.09 (![X0 : $i]:
% 101.20/15.09 ( (less @ n2 @ X0) | ((n2) = (X0)) | (less_or_equal @ X0 @ n1))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl90])).
% 101.20/15.09 thf(zip_derived_cl84, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [less_or_equal])).
% 101.20/15.09 thf(zip_derived_cl1616, plain,
% 101.20/15.09 (![X0 : $i]:
% 101.20/15.09 (((n2) = (X0)) | (less @ n2 @ X0) | ((X0) = (n1)) | (less @ X0 @ n1))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl287, zip_derived_cl84])).
% 101.20/15.09 thf(zip_derived_cl106, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [less_property])).
% 101.20/15.09 thf(zip_derived_cl21678, plain,
% 101.20/15.09 (![X0 : $i]:
% 101.20/15.09 (((X0) = (n1))
% 101.20/15.09 | (less @ n2 @ X0)
% 101.20/15.09 | ((n2) = (X0))
% 101.20/15.09 | ~ (less @ n1 @ X0))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl1616, zip_derived_cl106])).
% 101.20/15.09 thf(zip_derived_cl107, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 101.20/15.09 inference('cnf', [status(esa)], [less_property])).
% 101.20/15.09 thf(zip_derived_cl23766, plain,
% 101.20/15.09 (![X0 : $i]: (~ (less @ n1 @ X0) | ((n2) = (X0)) | (less @ n2 @ X0))),
% 101.20/15.09 inference('clc', [status(thm)], [zip_derived_cl21678, zip_derived_cl107])).
% 101.20/15.09 thf(zip_derived_cl29384, plain,
% 101.20/15.09 (![X0 : $i]:
% 101.20/15.09 (((n1) = (X0)) | ((X0) = (n0)) | ((n2) = (X0)) | (less @ n2 @ X0))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl29296, zip_derived_cl23766])).
% 101.20/15.09 thf(zip_derived_cl106, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [less_property])).
% 101.20/15.09 thf(zip_derived_cl29745, plain,
% 101.20/15.09 (![X0 : $i]:
% 101.20/15.09 (((n2) = (X0)) | ((X0) = (n0)) | ((n1) = (X0)) | ~ (less @ X0 @ n2))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl29384, zip_derived_cl106])).
% 101.20/15.09 thf(zip_derived_cl107, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 101.20/15.09 inference('cnf', [status(esa)], [less_property])).
% 101.20/15.09 thf(zip_derived_cl30959, plain,
% 101.20/15.09 (![X0 : $i]: (~ (less @ X0 @ n2) | ((n1) = (X0)) | ((X0) = (n0)))),
% 101.20/15.09 inference('clc', [status(thm)], [zip_derived_cl29745, zip_derived_cl107])).
% 101.20/15.09 thf(zip_derived_cl60294, plain,
% 101.20/15.09 (( (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | ((n1) = (sk__1 @ n2 @ filling @ n0))
% 101.20/15.09 | ((sk__1 @ n2 @ filling @ n0) = (n0)))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl60276, zip_derived_cl30959])).
% 101.20/15.09 thf(zip_derived_cl60248, plain,
% 101.20/15.09 (( (stoppedIn @ n0 @ filling @ n2) | (holdsAt @ (waterLevel @ n2) @ n2))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl8800, zip_derived_cl14423])).
% 101.20/15.09 thf(zip_derived_cl3, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.20/15.09 ( (happens @ (sk_ @ X0 @ X1 @ X2) @ (sk__1 @ X0 @ X1 @ X2))
% 101.20/15.09 | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [stoppedin_defn])).
% 101.20/15.09 thf(zip_derived_cl60277, plain,
% 101.20/15.09 (( (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | (happens @ (sk_ @ n2 @ filling @ n0) @ (sk__1 @ n2 @ filling @ n0)))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl60248, zip_derived_cl3])).
% 101.20/15.09 thf(zip_derived_cl63467, plain,
% 101.20/15.09 ((((sk__1 @ n2 @ filling @ n0) = (n0))
% 101.20/15.09 | (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | (happens @ (sk_ @ n2 @ filling @ n0) @ n1))),
% 101.20/15.09 inference('s_sup+', [status(thm)],
% 101.20/15.09 [zip_derived_cl60294, zip_derived_cl60277])).
% 101.20/15.09 thf(zip_derived_cl63468, plain,
% 101.20/15.09 (( (happens @ (sk_ @ n2 @ filling @ n0) @ n1)
% 101.20/15.09 | (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | ((sk__1 @ n2 @ filling @ n0) = (n0)))),
% 101.20/15.09 inference('simplify', [status(thm)], [zip_derived_cl63467])).
% 101.20/15.09 thf(zip_derived_cl63591, plain,
% 101.20/15.09 ((((sk_ @ n2 @ filling @ n0) = (overflow))
% 101.20/15.09 | (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | (happens @ tapOff @ n1)
% 101.20/15.09 | (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | ((sk__1 @ n2 @ filling @ n0) = (n0)))),
% 101.20/15.09 inference('s_sup+', [status(thm)],
% 101.20/15.09 [zip_derived_cl63470, zip_derived_cl63468])).
% 101.20/15.09 thf(zip_derived_cl63592, plain,
% 101.20/15.09 ((((sk__1 @ n2 @ filling @ n0) = (n0))
% 101.20/15.09 | (happens @ tapOff @ n1)
% 101.20/15.09 | (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | ((sk_ @ n2 @ filling @ n0) = (overflow)))),
% 101.20/15.09 inference('simplify', [status(thm)], [zip_derived_cl63591])).
% 101.20/15.09 thf(zip_derived_cl63468, plain,
% 101.20/15.09 (( (happens @ (sk_ @ n2 @ filling @ n0) @ n1)
% 101.20/15.09 | (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | ((sk__1 @ n2 @ filling @ n0) = (n0)))),
% 101.20/15.09 inference('simplify', [status(thm)], [zip_derived_cl63467])).
% 101.20/15.09 thf(zip_derived_cl74854, plain,
% 101.20/15.09 (( (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | (happens @ tapOff @ n1)
% 101.20/15.09 | ((sk__1 @ n2 @ filling @ n0) = (n0))
% 101.20/15.09 | (happens @ overflow @ n1)
% 101.20/15.09 | (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | ((sk__1 @ n2 @ filling @ n0) = (n0)))),
% 101.20/15.09 inference('s_sup+', [status(thm)],
% 101.20/15.09 [zip_derived_cl63592, zip_derived_cl63468])).
% 101.20/15.09 thf(zip_derived_cl74903, plain,
% 101.20/15.09 (( (happens @ overflow @ n1)
% 101.20/15.09 | ((sk__1 @ n2 @ filling @ n0) = (n0))
% 101.20/15.09 | (happens @ tapOff @ n1)
% 101.20/15.09 | (holdsAt @ (waterLevel @ n2) @ n2))),
% 101.20/15.09 inference('simplify', [status(thm)], [zip_derived_cl74854])).
% 101.20/15.09 thf(zip_derived_cl60248, plain,
% 101.20/15.09 (( (stoppedIn @ n0 @ filling @ n2) | (holdsAt @ (waterLevel @ n2) @ n2))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl8800, zip_derived_cl14423])).
% 101.20/15.09 thf(zip_derived_cl2, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.20/15.09 ( (less @ X0 @ (sk__1 @ X1 @ X2 @ X0)) | ~ (stoppedIn @ X0 @ X2 @ X1))),
% 101.20/15.09 inference('cnf', [status(esa)], [stoppedin_defn])).
% 101.20/15.09 thf(zip_derived_cl60278, plain,
% 101.20/15.09 (( (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | (less @ n0 @ (sk__1 @ n2 @ filling @ n0)))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl60248, zip_derived_cl2])).
% 101.20/15.09 thf(zip_derived_cl79705, plain,
% 101.20/15.09 (( (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | (happens @ tapOff @ n1)
% 101.20/15.09 | (happens @ overflow @ n1)
% 101.20/15.09 | (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | (less @ n0 @ n0))),
% 101.20/15.09 inference('s_sup+', [status(thm)],
% 101.20/15.09 [zip_derived_cl74903, zip_derived_cl60278])).
% 101.20/15.09 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 101.20/15.09 inference('cnf', [status(esa)], [less0])).
% 101.20/15.09 thf(zip_derived_cl80021, plain,
% 101.20/15.09 (( (holdsAt @ (waterLevel @ n2) @ n2)
% 101.20/15.09 | (happens @ tapOff @ n1)
% 101.20/15.09 | (happens @ overflow @ n1)
% 101.20/15.09 | (holdsAt @ (waterLevel @ n2) @ n2))),
% 101.20/15.09 inference('demod', [status(thm)], [zip_derived_cl79705, zip_derived_cl87])).
% 101.20/15.09 thf(zip_derived_cl80022, plain,
% 101.20/15.09 (( (happens @ overflow @ n1)
% 101.20/15.09 | (happens @ tapOff @ n1)
% 101.20/15.09 | (holdsAt @ (waterLevel @ n2) @ n2))),
% 101.20/15.09 inference('simplify', [status(thm)], [zip_derived_cl80021])).
% 101.20/15.09 thf(zip_derived_cl611, plain,
% 101.20/15.09 (( (zip_tseitin_4 @ n2 @ sk__11) | ((sk__11) = (tapOn)))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl610, zip_derived_cl57])).
% 101.20/15.09 thf(zip_derived_cl672, plain, (((sk__11) = (overflow))),
% 101.20/15.09 inference('simplify_reflect-', [status(thm)],
% 101.20/15.09 [zip_derived_cl670, zip_derived_cl66])).
% 101.20/15.09 thf(zip_derived_cl672, plain, (((sk__11) = (overflow))),
% 101.20/15.09 inference('simplify_reflect-', [status(thm)],
% 101.20/15.09 [zip_derived_cl670, zip_derived_cl66])).
% 101.20/15.09 thf(zip_derived_cl676, plain,
% 101.20/15.09 (( (zip_tseitin_4 @ n2 @ overflow) | ((overflow) = (tapOn)))),
% 101.20/15.09 inference('demod', [status(thm)],
% 101.20/15.09 [zip_derived_cl611, zip_derived_cl672, zip_derived_cl672])).
% 101.20/15.09 thf(zip_derived_cl67, plain, (((overflow) != (tapOn))),
% 101.20/15.09 inference('cnf', [status(esa)], [overflow_not_tapOn])).
% 101.20/15.09 thf(zip_derived_cl677, plain, ( (zip_tseitin_4 @ n2 @ overflow)),
% 101.20/15.09 inference('simplify_reflect-', [status(thm)],
% 101.20/15.09 [zip_derived_cl676, zip_derived_cl67])).
% 101.20/15.09 thf(zip_derived_cl53, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 ( (holdsAt @ (waterLevel @ n3) @ X0) | ~ (zip_tseitin_4 @ X0 @ X1))),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_4])).
% 101.20/15.09 thf(zip_derived_cl693, plain, ( (holdsAt @ (waterLevel @ n3) @ n2)),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl677, zip_derived_cl53])).
% 101.20/15.09 thf(same_waterLevel, axiom,
% 101.20/15.09 (![Time:$i,Height1:$i,Height2:$i]:
% 101.20/15.09 ( ( ( holdsAt @ ( waterLevel @ Height1 ) @ Time ) &
% 101.20/15.09 ( holdsAt @ ( waterLevel @ Height2 ) @ Time ) ) =>
% 101.20/15.09 ( ( Height1 ) = ( Height2 ) ) ))).
% 101.20/15.09 thf(zip_derived_cl64, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.20/15.09 (~ (holdsAt @ (waterLevel @ X0) @ X1)
% 101.20/15.09 | ~ (holdsAt @ (waterLevel @ X2) @ X1)
% 101.20/15.09 | ((X0) = (X2)))),
% 101.20/15.09 inference('cnf', [status(esa)], [same_waterLevel])).
% 101.20/15.09 thf(zip_derived_cl704, plain,
% 101.20/15.09 (![X0 : $i]: (~ (holdsAt @ (waterLevel @ X0) @ n2) | ((n3) = (X0)))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl693, zip_derived_cl64])).
% 101.20/15.09 thf(zip_derived_cl80124, plain,
% 101.20/15.09 (( (happens @ tapOff @ n1) | (happens @ overflow @ n1) | ((n3) = (n2)))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl80022, zip_derived_cl704])).
% 101.20/15.09 thf(zip_derived_cl60, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 ( (zip_tseitin_4 @ X0 @ X1)
% 101.20/15.09 | (zip_tseitin_5 @ X0 @ X1)
% 101.20/15.09 | ~ (happens @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_5])).
% 101.20/15.09 thf(zip_derived_cl80128, plain,
% 101.20/15.09 ((((n3) = (n2))
% 101.20/15.09 | (happens @ overflow @ n1)
% 101.20/15.09 | (zip_tseitin_4 @ n1 @ tapOff)
% 101.20/15.09 | (zip_tseitin_5 @ n1 @ tapOff))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl80124, zip_derived_cl60])).
% 101.20/15.09 thf(zip_derived_cl57, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]: (((X0) = (tapOn)) | ~ (zip_tseitin_5 @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_2])).
% 101.20/15.09 thf(zip_derived_cl80188, plain,
% 101.20/15.09 (( (zip_tseitin_4 @ n1 @ tapOff)
% 101.20/15.09 | (happens @ overflow @ n1)
% 101.20/15.09 | ((n3) = (n2))
% 101.20/15.09 | ((tapOff) = (tapOn)))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl80128, zip_derived_cl57])).
% 101.20/15.09 thf(zip_derived_cl65, plain, (((tapOff) != (tapOn))),
% 101.20/15.09 inference('cnf', [status(esa)], [tapOff_not_tapOn])).
% 101.20/15.09 thf(zip_derived_cl80191, plain,
% 101.20/15.09 (( (zip_tseitin_4 @ n1 @ tapOff)
% 101.20/15.09 | (happens @ overflow @ n1)
% 101.20/15.09 | ((n3) = (n2)))),
% 101.20/15.09 inference('simplify_reflect-', [status(thm)],
% 101.20/15.09 [zip_derived_cl80188, zip_derived_cl65])).
% 101.20/15.09 thf(zip_derived_cl55, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]: (((X0) = (overflow)) | ~ (zip_tseitin_4 @ X1 @ X0))),
% 101.20/15.09 inference('cnf', [status(esa)], [zf_stmt_4])).
% 101.20/15.09 thf(zip_derived_cl80194, plain,
% 101.20/15.09 ((((n3) = (n2)) | (happens @ overflow @ n1) | ((tapOff) = (overflow)))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl80191, zip_derived_cl55])).
% 101.20/15.09 thf(zip_derived_cl66, plain, (((tapOff) != (overflow))),
% 101.20/15.09 inference('cnf', [status(esa)], [tapOff_not_overflow])).
% 101.20/15.09 thf(zip_derived_cl80197, plain,
% 101.20/15.09 ((((n3) = (n2)) | (happens @ overflow @ n1))),
% 101.20/15.09 inference('simplify_reflect-', [status(thm)],
% 101.20/15.09 [zip_derived_cl80194, zip_derived_cl66])).
% 101.20/15.09 thf(plus1_1, axiom, (( plus @ n1 @ n1 ) = ( n2 ))).
% 101.20/15.09 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 101.20/15.09 inference('cnf', [status(esa)], [plus1_1])).
% 101.20/15.09 thf(happens_terminates_not_holds, axiom,
% 101.20/15.09 (![Event:$i,Time:$i,Fluent:$i]:
% 101.20/15.09 ( ( ( happens @ Event @ Time ) & ( terminates @ Event @ Fluent @ Time ) ) =>
% 101.20/15.09 ( ~( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 101.20/15.09 thf(zip_derived_cl21, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.20/15.09 (~ (happens @ X0 @ X1)
% 101.20/15.09 | ~ (terminates @ X0 @ X2 @ X1)
% 101.20/15.09 | ~ (holdsAt @ X2 @ (plus @ X1 @ n1)))),
% 101.20/15.09 inference('cnf', [status(esa)], [happens_terminates_not_holds])).
% 101.20/15.09 thf(zip_derived_cl144, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 (~ (happens @ X1 @ n1)
% 101.20/15.09 | ~ (terminates @ X1 @ X0 @ n1)
% 101.20/15.09 | ~ (holdsAt @ X0 @ n2))),
% 101.20/15.09 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl21])).
% 101.20/15.09 thf(zip_derived_cl80199, plain,
% 101.20/15.09 (![X0 : $i]:
% 101.20/15.09 (((n3) = (n2))
% 101.20/15.09 | ~ (terminates @ overflow @ X0 @ n1)
% 101.20/15.09 | ~ (holdsAt @ X0 @ n2))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl80197, zip_derived_cl144])).
% 101.20/15.09 thf(zip_derived_cl80242, plain,
% 101.20/15.09 ((((n3) = (n2)) | ~ (terminates @ overflow @ filling @ n1))),
% 101.20/15.09 inference('s_sup-', [status(thm)],
% 101.20/15.09 [zip_derived_cl680, zip_derived_cl80199])).
% 101.20/15.09 thf(zip_derived_cl49, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.20/15.09 ( (terminates @ X0 @ X1 @ X2)
% 101.20/15.09 | ((X0) != (overflow))
% 101.20/15.09 | ((X1) != (filling)))),
% 101.20/15.09 inference('cnf', [status(esa)], [terminates_all_defn])).
% 101.20/15.09 thf(zip_derived_cl170, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]:
% 101.20/15.09 (((X0) != (filling)) | (terminates @ overflow @ X0 @ X1))),
% 101.20/15.09 inference('eq_res', [status(thm)], [zip_derived_cl49])).
% 101.20/15.09 thf(zip_derived_cl936, plain,
% 101.20/15.09 (![X0 : $i]: (terminates @ overflow @ filling @ X0)),
% 101.20/15.09 inference('eq_res', [status(thm)], [zip_derived_cl170])).
% 101.20/15.09 thf(zip_derived_cl80246, plain, (((n3) = (n2))),
% 101.20/15.09 inference('demod', [status(thm)],
% 101.20/15.09 [zip_derived_cl80242, zip_derived_cl936])).
% 101.20/15.09 thf(zip_derived_cl107, plain,
% 101.20/15.09 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 101.20/15.09 inference('cnf', [status(esa)], [less_property])).
% 101.20/15.09 thf(zip_derived_cl120, plain, (![X0 : $i]: ~ (less @ X0 @ X0)),
% 101.20/15.09 inference('eq_res', [status(thm)], [zip_derived_cl107])).
% 101.20/15.09 thf(zip_derived_cl80265, plain, ($false),
% 101.20/15.09 inference('demod', [status(thm)],
% 101.20/15.09 [zip_derived_cl167, zip_derived_cl80246, zip_derived_cl120])).
% 101.20/15.09
% 101.20/15.09 % SZS output end Refutation
% 101.20/15.09
% 101.20/15.09
% 101.20/15.09 % Terminating...
% 101.39/15.14 % Runner terminated.
% 101.39/15.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------