%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CSR002+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.vv9CjMTJsr true
% Computer : n008.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 31.07s 7.40s
% Output : Refutation 31.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CSR002+2 : TPTP v9.2.0. Bugfixed v3.1.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vv9CjMTJsr true
% 0.11/0.34 % Computer : n008.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Wed Oct 1 14:53:38 EDT 2025
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Number of cores: 8
% 0.11/0.35 % Python version: Python 3.6.8
% 0.11/0.35 % Running in FO mode
% 0.41/0.57 % Total configuration time : 435
% 0.41/0.57 % Estimated wc time : 1092
% 0.41/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.44/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.44/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.44/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.45/1.01 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 31.07/7.40 % Solved by fo/fo6_bce.sh.
% 31.07/7.40 % BCE start: 117
% 31.07/7.40 % BCE eliminated: 1
% 31.07/7.40 % PE start: 116
% 31.07/7.40 logic: eq
% 31.07/7.40 % PE eliminated: 2
% 31.07/7.40 % done 3643 iterations in 6.610s
% 31.07/7.40 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.07/7.40 % SZS output start Refutation
% 31.07/7.40 thf(waterLevel_type, type, waterLevel: $i > $i).
% 31.07/7.40 thf(n3_type, type, n3: $i).
% 31.07/7.40 thf(tapOn_type, type, tapOn: $i).
% 31.07/7.40 thf(releases_type, type, releases: $i > $i > $i > $o).
% 31.07/7.40 thf(initiates_type, type, initiates: $i > $i > $i > $o).
% 31.07/7.40 thf(happens_type, type, happens: $i > $i > $o).
% 31.07/7.40 thf(n1_type, type, n1: $i).
% 31.07/7.40 thf(filling_type, type, filling: $i).
% 31.07/7.40 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 31.07/7.40 thf(sk__10_type, type, sk__10: $i > $i).
% 31.07/7.40 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 31.07/7.40 thf(sk__5_type, type, sk__5: $i > $i > $i).
% 31.07/7.40 thf(n2_type, type, n2: $i).
% 31.07/7.40 thf(overflow_type, type, overflow: $i).
% 31.07/7.40 thf(releasedAt_type, type, releasedAt: $i > $i > $o).
% 31.07/7.40 thf(sk__7_type, type, sk__7: $i > $i > $i).
% 31.07/7.40 thf(less_type, type, less: $i > $i > $o).
% 31.07/7.40 thf(plus_type, type, plus: $i > $i > $i).
% 31.07/7.40 thf(n4_type, type, n4: $i).
% 31.07/7.40 thf(holdsAt_type, type, holdsAt: $i > $i > $o).
% 31.07/7.40 thf(n0_type, type, n0: $i).
% 31.07/7.40 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $o).
% 31.07/7.40 thf(terminates_type, type, terminates: $i > $i > $i > $o).
% 31.07/7.40 thf(tapOff_type, type, tapOff: $i).
% 31.07/7.40 thf(terminates_all_defn, axiom,
% 31.07/7.40 (![Event:$i,Fluent:$i,Time:$i]:
% 31.07/7.40 ( ( terminates @ Event @ Fluent @ Time ) <=>
% 31.07/7.40 ( ( ( ( Event ) = ( tapOff ) ) & ( ( Fluent ) = ( filling ) ) ) |
% 31.07/7.40 ( ( ( Event ) = ( overflow ) ) & ( ( Fluent ) = ( filling ) ) ) ) ))).
% 31.07/7.40 thf(zip_derived_cl49, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.07/7.40 ( (terminates @ X0 @ X1 @ X2)
% 31.07/7.40 | ((X0) != (overflow))
% 31.07/7.40 | ((X1) != (filling)))),
% 31.07/7.40 inference('cnf', [status(esa)], [terminates_all_defn])).
% 31.07/7.40 thf(not_filling_4, conjecture, (~( holdsAt @ filling @ n4 ))).
% 31.07/7.40 thf(zf_stmt_0, negated_conjecture, (holdsAt @ filling @ n4),
% 31.07/7.40 inference('cnf.neg', [status(esa)], [not_filling_4])).
% 31.07/7.40 thf(zip_derived_cl116, plain, ( (holdsAt @ filling @ n4)),
% 31.07/7.40 inference('cnf', [status(esa)], [zf_stmt_0])).
% 31.07/7.40 thf(keep_not_released, axiom,
% 31.07/7.40 (![Fluent:$i,Time:$i]:
% 31.07/7.40 ( ( ( ~( releasedAt @ Fluent @ Time ) ) &
% 31.07/7.40 ( ~( ?[Event:$i]:
% 31.07/7.40 ( ( releases @ Event @ Fluent @ Time ) &
% 31.07/7.40 ( happens @ Event @ Time ) ) ) ) ) =>
% 31.07/7.40 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 31.07/7.40 thf(zip_derived_cl18, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 31.07/7.40 | (happens @ (sk__7 @ X1 @ X0) @ X1)
% 31.07/7.40 | (releasedAt @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [keep_not_released])).
% 31.07/7.40 thf(happens_all_defn, axiom,
% 31.07/7.40 (![Event:$i,Time:$i]:
% 31.07/7.40 ( ( happens @ Event @ Time ) <=>
% 31.07/7.40 ( ( ( ( Event ) = ( overflow ) ) & ( holdsAt @ filling @ Time ) &
% 31.07/7.40 ( holdsAt @ ( waterLevel @ n3 ) @ Time ) ) |
% 31.07/7.40 ( ( ( Time ) = ( n0 ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 31.07/7.40 thf(zf_stmt_1, type, zip_tseitin_5 : $i > $i > $o).
% 31.07/7.40 thf(zf_stmt_2, axiom,
% 31.07/7.40 (![Time:$i,Event:$i]:
% 31.07/7.40 ( ( zip_tseitin_5 @ Time @ Event ) <=>
% 31.07/7.40 ( ( ( Event ) = ( tapOn ) ) & ( ( Time ) = ( n0 ) ) ) ))).
% 31.07/7.40 thf(zf_stmt_3, type, zip_tseitin_4 : $i > $i > $o).
% 31.07/7.40 thf(zf_stmt_4, axiom,
% 31.07/7.40 (![Time:$i,Event:$i]:
% 31.07/7.40 ( ( zip_tseitin_4 @ Time @ Event ) <=>
% 31.07/7.40 ( ( holdsAt @ ( waterLevel @ n3 ) @ Time ) &
% 31.07/7.40 ( holdsAt @ filling @ Time ) & ( ( Event ) = ( overflow ) ) ) ))).
% 31.07/7.40 thf(zf_stmt_5, axiom,
% 31.07/7.40 (![Event:$i,Time:$i]:
% 31.07/7.40 ( ( happens @ Event @ Time ) <=>
% 31.07/7.40 ( ( zip_tseitin_5 @ Time @ Event ) | ( zip_tseitin_4 @ Time @ Event ) ) ))).
% 31.07/7.40 thf(zip_derived_cl60, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (zip_tseitin_4 @ X0 @ X1)
% 31.07/7.40 | (zip_tseitin_5 @ X0 @ X1)
% 31.07/7.40 | ~ (happens @ X1 @ X0))),
% 31.07/7.40 inference('cnf', [status(esa)], [zf_stmt_5])).
% 31.07/7.40 thf(zip_derived_cl58, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: (((X0) = (n0)) | ~ (zip_tseitin_5 @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [zf_stmt_2])).
% 31.07/7.40 thf(zip_derived_cl578, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (~ (happens @ X0 @ X1) | (zip_tseitin_4 @ X1 @ X0) | ((X1) = (n0)))),
% 31.07/7.40 inference('dp-resolution', [status(thm)],
% 31.07/7.40 [zip_derived_cl60, zip_derived_cl58])).
% 31.07/7.40 thf(zip_derived_cl55, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: (((X0) = (overflow)) | ~ (zip_tseitin_4 @ X1 @ X0))),
% 31.07/7.40 inference('cnf', [status(esa)], [zf_stmt_4])).
% 31.07/7.40 thf(zip_derived_cl879, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (((X1) = (n0)) | ~ (happens @ X0 @ X1) | ((X0) = (overflow)))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl578, zip_derived_cl55])).
% 31.07/7.40 thf(zip_derived_cl911, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (releasedAt @ X1 @ X0)
% 31.07/7.40 | ~ (releasedAt @ X1 @ (plus @ X0 @ n1))
% 31.07/7.40 | ((X0) = (n0))
% 31.07/7.40 | ((sk__7 @ X0 @ X1) = (overflow)))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl879])).
% 31.07/7.40 thf(zip_derived_cl49, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.07/7.40 ( (terminates @ X0 @ X1 @ X2)
% 31.07/7.40 | ((X0) != (overflow))
% 31.07/7.40 | ((X1) != (filling)))),
% 31.07/7.40 inference('cnf', [status(esa)], [terminates_all_defn])).
% 31.07/7.40 thf(zip_derived_cl49, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.07/7.40 ( (terminates @ X0 @ X1 @ X2)
% 31.07/7.40 | ((X0) != (overflow))
% 31.07/7.40 | ((X1) != (filling)))),
% 31.07/7.40 inference('cnf', [status(esa)], [terminates_all_defn])).
% 31.07/7.40 thf(zip_derived_cl911, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (releasedAt @ X1 @ X0)
% 31.07/7.40 | ~ (releasedAt @ X1 @ (plus @ X0 @ n1))
% 31.07/7.40 | ((X0) = (n0))
% 31.07/7.40 | ((sk__7 @ X0 @ X1) = (overflow)))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl879])).
% 31.07/7.40 thf(keep_not_holding, axiom,
% 31.07/7.40 (![Fluent:$i,Time:$i]:
% 31.07/7.40 ( ( ( ~( holdsAt @ Fluent @ Time ) ) &
% 31.07/7.40 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) &
% 31.07/7.40 ( ~( ?[Event:$i]:
% 31.07/7.40 ( ( initiates @ Event @ Fluent @ Time ) &
% 31.07/7.40 ( happens @ Event @ Time ) ) ) ) ) =>
% 31.07/7.40 ( ~( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 31.07/7.40 thf(zip_derived_cl14, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (~ (holdsAt @ X0 @ (plus @ X1 @ n1))
% 31.07/7.40 | (happens @ (sk__5 @ X1 @ X0) @ X1)
% 31.07/7.40 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 31.07/7.40 | (holdsAt @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [keep_not_holding])).
% 31.07/7.40 thf(zip_derived_cl879, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (((X1) = (n0)) | ~ (happens @ X0 @ X1) | ((X0) = (overflow)))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl578, zip_derived_cl55])).
% 31.07/7.40 thf(zip_derived_cl909, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (holdsAt @ X1 @ X0)
% 31.07/7.40 | (releasedAt @ X1 @ (plus @ X0 @ n1))
% 31.07/7.40 | ~ (holdsAt @ X1 @ (plus @ X0 @ n1))
% 31.07/7.40 | ((X0) = (n0))
% 31.07/7.40 | ((sk__5 @ X0 @ X1) = (overflow)))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl879])).
% 31.07/7.40 thf(zip_derived_cl49, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.07/7.40 ( (terminates @ X0 @ X1 @ X2)
% 31.07/7.40 | ((X0) != (overflow))
% 31.07/7.40 | ((X1) != (filling)))),
% 31.07/7.40 inference('cnf', [status(esa)], [terminates_all_defn])).
% 31.07/7.40 thf(zip_derived_cl116, plain, ( (holdsAt @ filling @ n4)),
% 31.07/7.40 inference('cnf', [status(esa)], [zf_stmt_0])).
% 31.07/7.40 thf(zip_derived_cl116, plain, ( (holdsAt @ filling @ n4)),
% 31.07/7.40 inference('cnf', [status(esa)], [zf_stmt_0])).
% 31.07/7.40 thf(zip_derived_cl14, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (~ (holdsAt @ X0 @ (plus @ X1 @ n1))
% 31.07/7.40 | (happens @ (sk__5 @ X1 @ X0) @ X1)
% 31.07/7.40 | (releasedAt @ X0 @ (plus @ X1 @ n1))
% 31.07/7.40 | (holdsAt @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [keep_not_holding])).
% 31.07/7.40 thf(plus1_3, axiom, (( plus @ n1 @ n3 ) = ( n4 ))).
% 31.07/7.40 thf(zip_derived_cl79, plain, (((plus @ n1 @ n3) = (n4))),
% 31.07/7.40 inference('cnf', [status(esa)], [plus1_3])).
% 31.07/7.40 thf(symmetry_of_plus, axiom,
% 31.07/7.40 (![X:$i,Y:$i]: ( ( plus @ X @ Y ) = ( plus @ Y @ X ) ))).
% 31.07/7.40 thf(zip_derived_cl83, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 31.07/7.40 thf(happens_terminates_not_holds, axiom,
% 31.07/7.40 (![Event:$i,Time:$i,Fluent:$i]:
% 31.07/7.40 ( ( ( happens @ Event @ Time ) & ( terminates @ Event @ Fluent @ Time ) ) =>
% 31.07/7.40 ( ~( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 31.07/7.40 thf(zip_derived_cl21, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.07/7.40 (~ (happens @ X0 @ X1)
% 31.07/7.40 | ~ (terminates @ X0 @ X2 @ X1)
% 31.07/7.40 | ~ (holdsAt @ X2 @ (plus @ X1 @ n1)))),
% 31.07/7.40 inference('cnf', [status(esa)], [happens_terminates_not_holds])).
% 31.07/7.40 thf(zip_derived_cl767, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.07/7.40 (~ (happens @ X2 @ X0)
% 31.07/7.40 | ~ (terminates @ X2 @ X1 @ X0)
% 31.07/7.40 | ~ (holdsAt @ X1 @ (plus @ n1 @ X0)))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl21])).
% 31.07/7.40 thf(zip_derived_cl953, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (~ (happens @ X1 @ n3)
% 31.07/7.40 | ~ (terminates @ X1 @ X0 @ n3)
% 31.07/7.40 | ~ (holdsAt @ X0 @ n4))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl767])).
% 31.07/7.40 thf(zip_derived_cl973, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (holdsAt @ X0 @ n3)
% 31.07/7.40 | (releasedAt @ X0 @ (plus @ n3 @ n1))
% 31.07/7.40 | ~ (holdsAt @ X0 @ (plus @ n3 @ n1))
% 31.07/7.40 | ~ (terminates @ (sk__5 @ n3 @ X0) @ X1 @ n3)
% 31.07/7.40 | ~ (holdsAt @ X1 @ n4))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl953])).
% 31.07/7.40 thf(zip_derived_cl83, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 31.07/7.40 thf(zip_derived_cl79, plain, (((plus @ n1 @ n3) = (n4))),
% 31.07/7.40 inference('cnf', [status(esa)], [plus1_3])).
% 31.07/7.40 thf(zip_derived_cl83, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 31.07/7.40 thf(zip_derived_cl79, plain, (((plus @ n1 @ n3) = (n4))),
% 31.07/7.40 inference('cnf', [status(esa)], [plus1_3])).
% 31.07/7.40 thf(zip_derived_cl977, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (holdsAt @ X0 @ n3)
% 31.07/7.40 | (releasedAt @ X0 @ n4)
% 31.07/7.40 | ~ (holdsAt @ X0 @ n4)
% 31.07/7.40 | ~ (terminates @ (sk__5 @ n3 @ X0) @ X1 @ n3)
% 31.07/7.40 | ~ (holdsAt @ X1 @ n4))),
% 31.07/7.40 inference('demod', [status(thm)],
% 31.07/7.40 [zip_derived_cl973, zip_derived_cl83, zip_derived_cl79,
% 31.07/7.40 zip_derived_cl83, zip_derived_cl79])).
% 31.07/7.40 thf(zip_derived_cl2587, plain,
% 31.07/7.40 (![X0 : $i]:
% 31.07/7.40 ( (holdsAt @ filling @ n3)
% 31.07/7.40 | (releasedAt @ filling @ n4)
% 31.07/7.40 | ~ (terminates @ (sk__5 @ n3 @ filling) @ X0 @ n3)
% 31.07/7.40 | ~ (holdsAt @ X0 @ n4))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl977])).
% 31.07/7.40 thf(zip_derived_cl2592, plain,
% 31.07/7.40 (( (holdsAt @ filling @ n3)
% 31.07/7.40 | (releasedAt @ filling @ n4)
% 31.07/7.40 | ~ (terminates @ (sk__5 @ n3 @ filling) @ filling @ n3))),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl116, zip_derived_cl2587])).
% 31.07/7.40 thf(zip_derived_cl2595, plain,
% 31.07/7.40 ((((filling) != (filling))
% 31.07/7.40 | ((sk__5 @ n3 @ filling) != (overflow))
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | (releasedAt @ filling @ n4))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl2592])).
% 31.07/7.40 thf(zip_derived_cl2599, plain,
% 31.07/7.40 (( (releasedAt @ filling @ n4)
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | ((sk__5 @ n3 @ filling) != (overflow)))),
% 31.07/7.40 inference('simplify', [status(thm)], [zip_derived_cl2595])).
% 31.07/7.40 thf(zip_derived_cl2615, plain,
% 31.07/7.40 ((((n3) = (n0))
% 31.07/7.40 | ~ (holdsAt @ filling @ (plus @ n3 @ n1))
% 31.07/7.40 | (releasedAt @ filling @ (plus @ n3 @ n1))
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | (releasedAt @ filling @ n4)
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | ((overflow) != (overflow)))),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl909, zip_derived_cl2599])).
% 31.07/7.40 thf(zip_derived_cl83, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 31.07/7.40 thf(zip_derived_cl79, plain, (((plus @ n1 @ n3) = (n4))),
% 31.07/7.40 inference('cnf', [status(esa)], [plus1_3])).
% 31.07/7.40 thf(zip_derived_cl116, plain, ( (holdsAt @ filling @ n4)),
% 31.07/7.40 inference('cnf', [status(esa)], [zf_stmt_0])).
% 31.07/7.40 thf(zip_derived_cl83, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 31.07/7.40 thf(zip_derived_cl79, plain, (((plus @ n1 @ n3) = (n4))),
% 31.07/7.40 inference('cnf', [status(esa)], [plus1_3])).
% 31.07/7.40 thf(zip_derived_cl2618, plain,
% 31.07/7.40 ((((n3) = (n0))
% 31.07/7.40 | (releasedAt @ filling @ n4)
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | (releasedAt @ filling @ n4)
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | ((overflow) != (overflow)))),
% 31.07/7.40 inference('demod', [status(thm)],
% 31.07/7.40 [zip_derived_cl2615, zip_derived_cl83, zip_derived_cl79,
% 31.07/7.40 zip_derived_cl116, zip_derived_cl83, zip_derived_cl79])).
% 31.07/7.40 thf(zip_derived_cl2619, plain,
% 31.07/7.40 (( (holdsAt @ filling @ n3)
% 31.07/7.40 | (releasedAt @ filling @ n4)
% 31.07/7.40 | ((n3) = (n0)))),
% 31.07/7.40 inference('simplify', [status(thm)], [zip_derived_cl2618])).
% 31.07/7.40 thf(less_or_equal, axiom,
% 31.07/7.40 (![X:$i,Y:$i]:
% 31.07/7.40 ( ( less_or_equal @ X @ Y ) <=> ( ( less @ X @ Y ) | ( ( X ) = ( Y ) ) ) ))).
% 31.07/7.40 thf(zip_derived_cl86, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ((X0) != (X1)))),
% 31.07/7.40 inference('cnf', [status(esa)], [less_or_equal])).
% 31.07/7.40 thf(less1, axiom,
% 31.07/7.40 (![X:$i]: ( ( less @ X @ n1 ) <=> ( less_or_equal @ X @ n0 ) ))).
% 31.07/7.40 thf(zip_derived_cl89, plain,
% 31.07/7.40 (![X0 : $i]: ( (less @ X0 @ n1) | ~ (less_or_equal @ X0 @ n0))),
% 31.07/7.40 inference('cnf', [status(esa)], [less1])).
% 31.07/7.40 thf(zip_derived_cl675, plain,
% 31.07/7.40 (![X0 : $i]: (((X0) != (n0)) | (less @ X0 @ n1))),
% 31.07/7.40 inference('dp-resolution', [status(thm)],
% 31.07/7.40 [zip_derived_cl86, zip_derived_cl89])).
% 31.07/7.40 thf(less_property, axiom,
% 31.07/7.40 (![X:$i,Y:$i]:
% 31.07/7.40 ( ( less @ X @ Y ) <=> ( ( ~( less @ Y @ X ) ) & ( ( Y ) != ( X ) ) ) ))).
% 31.07/7.40 thf(zip_derived_cl108, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (less @ X0 @ X1) | ((X1) = (X0)) | (less @ X1 @ X0))),
% 31.07/7.40 inference('cnf', [status(esa)], [less_property])).
% 31.07/7.40 thf(zip_derived_cl86, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ((X0) != (X1)))),
% 31.07/7.40 inference('cnf', [status(esa)], [less_or_equal])).
% 31.07/7.40 thf(less2, axiom,
% 31.07/7.40 (![X:$i]: ( ( less @ X @ n2 ) <=> ( less_or_equal @ X @ n1 ) ))).
% 31.07/7.40 thf(zip_derived_cl91, plain,
% 31.07/7.40 (![X0 : $i]: ( (less @ X0 @ n2) | ~ (less_or_equal @ X0 @ n1))),
% 31.07/7.40 inference('cnf', [status(esa)], [less2])).
% 31.07/7.40 thf(zip_derived_cl676, plain,
% 31.07/7.40 (![X0 : $i]: (((X0) != (n1)) | (less @ X0 @ n2))),
% 31.07/7.40 inference('dp-resolution', [status(thm)],
% 31.07/7.40 [zip_derived_cl86, zip_derived_cl91])).
% 31.07/7.40 thf(zip_derived_cl106, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 31.07/7.40 inference('cnf', [status(esa)], [less_property])).
% 31.07/7.40 thf(zip_derived_cl716, plain,
% 31.07/7.40 (![X0 : $i]: (((X0) != (n1)) | ~ (less @ n2 @ X0))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl676, zip_derived_cl106])).
% 31.07/7.40 thf(zip_derived_cl721, plain, (~ (less @ n2 @ n1)),
% 31.07/7.40 inference('eq_res', [status(thm)], [zip_derived_cl716])).
% 31.07/7.40 thf(zip_derived_cl834, plain, (( (less @ n1 @ n2) | ((n1) = (n2)))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl721])).
% 31.07/7.40 thf(zip_derived_cl676, plain,
% 31.07/7.40 (![X0 : $i]: (((X0) != (n1)) | (less @ X0 @ n2))),
% 31.07/7.40 inference('dp-resolution', [status(thm)],
% 31.07/7.40 [zip_derived_cl86, zip_derived_cl91])).
% 31.07/7.40 thf(zip_derived_cl107, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (less @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [less_property])).
% 31.07/7.40 thf(zip_derived_cl684, plain, (![X0 : $i]: ~ (less @ X0 @ X0)),
% 31.07/7.40 inference('eq_res', [status(thm)], [zip_derived_cl107])).
% 31.07/7.40 thf(zip_derived_cl717, plain, (((n2) != (n1))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl676, zip_derived_cl684])).
% 31.07/7.40 thf(zip_derived_cl849, plain, ( (less @ n1 @ n2)),
% 31.07/7.40 inference('simplify_reflect-', [status(thm)],
% 31.07/7.40 [zip_derived_cl834, zip_derived_cl717])).
% 31.07/7.40 thf(zip_derived_cl85, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ~ (less @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [less_or_equal])).
% 31.07/7.40 thf(less3, axiom,
% 31.07/7.40 (![X:$i]: ( ( less @ X @ n3 ) <=> ( less_or_equal @ X @ n2 ) ))).
% 31.07/7.40 thf(zip_derived_cl93, plain,
% 31.07/7.40 (![X0 : $i]: ( (less @ X0 @ n3) | ~ (less_or_equal @ X0 @ n2))),
% 31.07/7.40 inference('cnf', [status(esa)], [less3])).
% 31.07/7.40 thf(zip_derived_cl668, plain,
% 31.07/7.40 (![X0 : $i]: (~ (less @ X0 @ n2) | (less @ X0 @ n3))),
% 31.07/7.40 inference('dp-resolution', [status(thm)],
% 31.07/7.40 [zip_derived_cl85, zip_derived_cl93])).
% 31.07/7.40 thf(zip_derived_cl1136, plain, ( (less @ n1 @ n3)),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl849, zip_derived_cl668])).
% 31.07/7.40 thf(zip_derived_cl106, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: (~ (less @ X0 @ X1) | ~ (less @ X1 @ X0))),
% 31.07/7.40 inference('cnf', [status(esa)], [less_property])).
% 31.07/7.40 thf(zip_derived_cl1145, plain, (~ (less @ n3 @ n1)),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl1136, zip_derived_cl106])).
% 31.07/7.40 thf(zip_derived_cl1149, plain, (((n3) != (n0))),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl675, zip_derived_cl1145])).
% 31.07/7.40 thf(zip_derived_cl2620, plain,
% 31.07/7.40 (( (holdsAt @ filling @ n3) | (releasedAt @ filling @ n4))),
% 31.07/7.40 inference('simplify_reflect-', [status(thm)],
% 31.07/7.40 [zip_derived_cl2619, zip_derived_cl1149])).
% 31.07/7.40 thf(zip_derived_cl116, plain, ( (holdsAt @ filling @ n4)),
% 31.07/7.40 inference('cnf', [status(esa)], [zf_stmt_0])).
% 31.07/7.40 thf(zip_derived_cl18, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 31.07/7.40 | (happens @ (sk__7 @ X1 @ X0) @ X1)
% 31.07/7.40 | (releasedAt @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [keep_not_released])).
% 31.07/7.40 thf(zip_derived_cl953, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (~ (happens @ X1 @ n3)
% 31.07/7.40 | ~ (terminates @ X1 @ X0 @ n3)
% 31.07/7.40 | ~ (holdsAt @ X0 @ n4))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl767])).
% 31.07/7.40 thf(zip_derived_cl975, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (releasedAt @ X0 @ n3)
% 31.07/7.40 | ~ (releasedAt @ X0 @ (plus @ n3 @ n1))
% 31.07/7.40 | ~ (terminates @ (sk__7 @ n3 @ X0) @ X1 @ n3)
% 31.07/7.40 | ~ (holdsAt @ X1 @ n4))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl953])).
% 31.07/7.40 thf(zip_derived_cl83, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 31.07/7.40 thf(zip_derived_cl79, plain, (((plus @ n1 @ n3) = (n4))),
% 31.07/7.40 inference('cnf', [status(esa)], [plus1_3])).
% 31.07/7.40 thf(zip_derived_cl979, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (releasedAt @ X0 @ n3)
% 31.07/7.40 | ~ (releasedAt @ X0 @ n4)
% 31.07/7.40 | ~ (terminates @ (sk__7 @ n3 @ X0) @ X1 @ n3)
% 31.07/7.40 | ~ (holdsAt @ X1 @ n4))),
% 31.07/7.40 inference('demod', [status(thm)],
% 31.07/7.40 [zip_derived_cl975, zip_derived_cl83, zip_derived_cl79])).
% 31.07/7.40 thf(zip_derived_cl2672, plain,
% 31.07/7.40 (![X0 : $i]:
% 31.07/7.40 ( (releasedAt @ X0 @ n3)
% 31.07/7.40 | ~ (releasedAt @ X0 @ n4)
% 31.07/7.40 | ~ (terminates @ (sk__7 @ n3 @ X0) @ filling @ n3))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl979])).
% 31.07/7.40 thf(zip_derived_cl2674, plain,
% 31.07/7.40 (( (holdsAt @ filling @ n3)
% 31.07/7.40 | (releasedAt @ filling @ n3)
% 31.07/7.40 | ~ (terminates @ (sk__7 @ n3 @ filling) @ filling @ n3))),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl2620, zip_derived_cl2672])).
% 31.07/7.40 thf(zip_derived_cl2715, plain,
% 31.07/7.40 ((((n3) = (n0))
% 31.07/7.40 | ~ (releasedAt @ filling @ (plus @ n3 @ n1))
% 31.07/7.40 | (releasedAt @ filling @ n3)
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | (releasedAt @ filling @ n3)
% 31.07/7.40 | ~ (terminates @ overflow @ filling @ n3))),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl911, zip_derived_cl2674])).
% 31.07/7.40 thf(zip_derived_cl83, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 31.07/7.40 thf(zip_derived_cl79, plain, (((plus @ n1 @ n3) = (n4))),
% 31.07/7.40 inference('cnf', [status(esa)], [plus1_3])).
% 31.07/7.40 thf(zip_derived_cl2720, plain,
% 31.07/7.40 ((((n3) = (n0))
% 31.07/7.40 | ~ (releasedAt @ filling @ n4)
% 31.07/7.40 | (releasedAt @ filling @ n3)
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | (releasedAt @ filling @ n3)
% 31.07/7.40 | ~ (terminates @ overflow @ filling @ n3))),
% 31.07/7.40 inference('demod', [status(thm)],
% 31.07/7.40 [zip_derived_cl2715, zip_derived_cl83, zip_derived_cl79])).
% 31.07/7.40 thf(zip_derived_cl2721, plain,
% 31.07/7.40 ((~ (terminates @ overflow @ filling @ n3)
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | (releasedAt @ filling @ n3)
% 31.07/7.40 | ~ (releasedAt @ filling @ n4)
% 31.07/7.40 | ((n3) = (n0)))),
% 31.07/7.40 inference('simplify', [status(thm)], [zip_derived_cl2720])).
% 31.07/7.40 thf(zip_derived_cl1149, plain, (((n3) != (n0))),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl675, zip_derived_cl1145])).
% 31.07/7.40 thf(zip_derived_cl2722, plain,
% 31.07/7.40 ((~ (terminates @ overflow @ filling @ n3)
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | (releasedAt @ filling @ n3)
% 31.07/7.40 | ~ (releasedAt @ filling @ n4))),
% 31.07/7.40 inference('simplify_reflect-', [status(thm)],
% 31.07/7.40 [zip_derived_cl2721, zip_derived_cl1149])).
% 31.07/7.40 thf(zip_derived_cl2620, plain,
% 31.07/7.40 (( (holdsAt @ filling @ n3) | (releasedAt @ filling @ n4))),
% 31.07/7.40 inference('simplify_reflect-', [status(thm)],
% 31.07/7.40 [zip_derived_cl2619, zip_derived_cl1149])).
% 31.07/7.40 thf(zip_derived_cl2749, plain,
% 31.07/7.40 (( (releasedAt @ filling @ n3)
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | ~ (terminates @ overflow @ filling @ n3))),
% 31.07/7.40 inference('clc', [status(thm)], [zip_derived_cl2722, zip_derived_cl2620])).
% 31.07/7.40 thf(zip_derived_cl2751, plain,
% 31.07/7.40 ((((filling) != (filling))
% 31.07/7.40 | ((overflow) != (overflow))
% 31.07/7.40 | (releasedAt @ filling @ n3)
% 31.07/7.40 | (holdsAt @ filling @ n3))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl2749])).
% 31.07/7.40 thf(zip_derived_cl2753, plain,
% 31.07/7.40 (( (holdsAt @ filling @ n3) | (releasedAt @ filling @ n3))),
% 31.07/7.40 inference('simplify', [status(thm)], [zip_derived_cl2751])).
% 31.07/7.40 thf(zip_derived_cl2753, plain,
% 31.07/7.40 (( (holdsAt @ filling @ n3) | (releasedAt @ filling @ n3))),
% 31.07/7.40 inference('simplify', [status(thm)], [zip_derived_cl2751])).
% 31.07/7.40 thf(zip_derived_cl18, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 31.07/7.40 | (happens @ (sk__7 @ X1 @ X0) @ X1)
% 31.07/7.40 | (releasedAt @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [keep_not_released])).
% 31.07/7.40 thf(plus1_2, axiom, (( plus @ n1 @ n2 ) = ( n3 ))).
% 31.07/7.40 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 31.07/7.40 inference('cnf', [status(esa)], [plus1_2])).
% 31.07/7.40 thf(zip_derived_cl83, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 31.07/7.40 thf(happens_not_released, axiom,
% 31.07/7.40 (![Event:$i,Time:$i,Fluent:$i]:
% 31.07/7.40 ( ( ( happens @ Event @ Time ) &
% 31.07/7.40 ( ( initiates @ Event @ Fluent @ Time ) |
% 31.07/7.40 ( terminates @ Event @ Fluent @ Time ) ) ) =>
% 31.07/7.40 ( ~( releasedAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ))).
% 31.07/7.40 thf(zip_derived_cl23, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.07/7.40 (~ (happens @ X0 @ X1)
% 31.07/7.40 | ~ (terminates @ X0 @ X2 @ X1)
% 31.07/7.40 | ~ (releasedAt @ X2 @ (plus @ X1 @ n1)))),
% 31.07/7.40 inference('cnf', [status(esa)], [happens_not_released])).
% 31.07/7.40 thf(zip_derived_cl768, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.07/7.40 (~ (happens @ X2 @ X0)
% 31.07/7.40 | ~ (terminates @ X2 @ X1 @ X0)
% 31.07/7.40 | ~ (releasedAt @ X1 @ (plus @ n1 @ X0)))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl23])).
% 31.07/7.40 thf(zip_derived_cl1487, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (~ (happens @ X1 @ n2)
% 31.07/7.40 | ~ (terminates @ X1 @ X0 @ n2)
% 31.07/7.40 | ~ (releasedAt @ X0 @ n3))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl768])).
% 31.07/7.40 thf(zip_derived_cl2881, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (releasedAt @ X0 @ n2)
% 31.07/7.40 | ~ (releasedAt @ X0 @ (plus @ n2 @ n1))
% 31.07/7.40 | ~ (terminates @ (sk__7 @ n2 @ X0) @ X1 @ n2)
% 31.07/7.40 | ~ (releasedAt @ X1 @ n3))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1487])).
% 31.07/7.40 thf(zip_derived_cl83, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 31.07/7.40 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 31.07/7.40 inference('cnf', [status(esa)], [plus1_2])).
% 31.07/7.40 thf(zip_derived_cl2885, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (releasedAt @ X0 @ n2)
% 31.07/7.40 | ~ (releasedAt @ X0 @ n3)
% 31.07/7.40 | ~ (terminates @ (sk__7 @ n2 @ X0) @ X1 @ n2)
% 31.07/7.40 | ~ (releasedAt @ X1 @ n3))),
% 31.07/7.40 inference('demod', [status(thm)],
% 31.07/7.40 [zip_derived_cl2881, zip_derived_cl83, zip_derived_cl78])).
% 31.07/7.40 thf(zip_derived_cl18550, plain,
% 31.07/7.40 (![X0 : $i]:
% 31.07/7.40 ( (holdsAt @ filling @ n3)
% 31.07/7.40 | (releasedAt @ filling @ n2)
% 31.07/7.40 | ~ (terminates @ (sk__7 @ n2 @ filling) @ X0 @ n2)
% 31.07/7.40 | ~ (releasedAt @ X0 @ n3))),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl2753, zip_derived_cl2885])).
% 31.07/7.40 thf(plus1_1, axiom, (( plus @ n1 @ n1 ) = ( n2 ))).
% 31.07/7.40 thf(zip_derived_cl77, plain, (((plus @ n1 @ n1) = (n2))),
% 31.07/7.40 inference('cnf', [status(esa)], [plus1_1])).
% 31.07/7.40 thf(zip_derived_cl19, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (~ (releasedAt @ X0 @ (plus @ X1 @ n1))
% 31.07/7.40 | (releases @ (sk__7 @ X1 @ X0) @ X0 @ X1)
% 31.07/7.40 | (releasedAt @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [keep_not_released])).
% 31.07/7.40 thf(releases_all_defn, axiom,
% 31.07/7.40 (![Event:$i,Fluent:$i,Time:$i]:
% 31.07/7.40 ( ( releases @ Event @ Fluent @ Time ) <=>
% 31.07/7.40 ( ?[Height:$i]:
% 31.07/7.40 ( ( ( Fluent ) = ( waterLevel @ Height ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 31.07/7.40 thf(zip_derived_cl51, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.07/7.40 (((X0) = (waterLevel @ (sk__10 @ X0))) | ~ (releases @ X1 @ X0 @ X2))),
% 31.07/7.40 inference('cnf', [status(esa)], [releases_all_defn])).
% 31.07/7.40 thf(zip_derived_cl585, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (releasedAt @ X1 @ X0)
% 31.07/7.40 | ~ (releasedAt @ X1 @ (plus @ X0 @ n1))
% 31.07/7.40 | ((X1) = (waterLevel @ (sk__10 @ X1))))),
% 31.07/7.40 inference('dp-resolution', [status(thm)],
% 31.07/7.40 [zip_derived_cl19, zip_derived_cl51])).
% 31.07/7.40 thf(zip_derived_cl927, plain,
% 31.07/7.40 (![X0 : $i]:
% 31.07/7.40 ( (releasedAt @ X0 @ n1)
% 31.07/7.40 | ~ (releasedAt @ X0 @ n2)
% 31.07/7.40 | ((X0) = (waterLevel @ (sk__10 @ X0))))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl585])).
% 31.07/7.40 thf(filling_not_waterLevel, axiom,
% 31.07/7.40 (![X:$i]: ( ( filling ) != ( waterLevel @ X ) ))).
% 31.07/7.40 thf(zip_derived_cl68, plain, (![X0 : $i]: ((filling) != (waterLevel @ X0))),
% 31.07/7.40 inference('cnf', [status(esa)], [filling_not_waterLevel])).
% 31.07/7.40 thf(zip_derived_cl1952, plain,
% 31.07/7.40 (![X0 : $i]:
% 31.07/7.40 (~ (releasedAt @ X0 @ n2)
% 31.07/7.40 | (releasedAt @ X0 @ n1)
% 31.07/7.40 | ((filling) != (X0)))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl927, zip_derived_cl68])).
% 31.07/7.40 thf(zip_derived_cl2415, plain,
% 31.07/7.40 (( (releasedAt @ filling @ n1) | ~ (releasedAt @ filling @ n2))),
% 31.07/7.40 inference('eq_res', [status(thm)], [zip_derived_cl1952])).
% 31.07/7.40 thf(plus0_1, axiom, (( plus @ n0 @ n1 ) = ( n1 ))).
% 31.07/7.40 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 31.07/7.40 inference('cnf', [status(esa)], [plus0_1])).
% 31.07/7.40 thf(zip_derived_cl585, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (releasedAt @ X1 @ X0)
% 31.07/7.40 | ~ (releasedAt @ X1 @ (plus @ X0 @ n1))
% 31.07/7.40 | ((X1) = (waterLevel @ (sk__10 @ X1))))),
% 31.07/7.40 inference('dp-resolution', [status(thm)],
% 31.07/7.40 [zip_derived_cl19, zip_derived_cl51])).
% 31.07/7.40 thf(zip_derived_cl926, plain,
% 31.07/7.40 (![X0 : $i]:
% 31.07/7.40 ( (releasedAt @ X0 @ n0)
% 31.07/7.40 | ~ (releasedAt @ X0 @ n1)
% 31.07/7.40 | ((X0) = (waterLevel @ (sk__10 @ X0))))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl585])).
% 31.07/7.40 thf(zip_derived_cl68, plain, (![X0 : $i]: ((filling) != (waterLevel @ X0))),
% 31.07/7.40 inference('cnf', [status(esa)], [filling_not_waterLevel])).
% 31.07/7.40 thf(zip_derived_cl1932, plain,
% 31.07/7.40 (![X0 : $i]:
% 31.07/7.40 (~ (releasedAt @ X0 @ n1)
% 31.07/7.40 | (releasedAt @ X0 @ n0)
% 31.07/7.40 | ((filling) != (X0)))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl926, zip_derived_cl68])).
% 31.07/7.40 thf(zip_derived_cl2288, plain,
% 31.07/7.40 (( (releasedAt @ filling @ n0) | ~ (releasedAt @ filling @ n1))),
% 31.07/7.40 inference('eq_res', [status(thm)], [zip_derived_cl1932])).
% 31.07/7.40 thf(not_released_filling_0, axiom, (~( releasedAt @ filling @ n0 ))).
% 31.07/7.40 thf(zip_derived_cl113, plain, (~ (releasedAt @ filling @ n0)),
% 31.07/7.40 inference('cnf', [status(esa)], [not_released_filling_0])).
% 31.07/7.40 thf(zip_derived_cl2289, plain, (~ (releasedAt @ filling @ n1)),
% 31.07/7.40 inference('demod', [status(thm)], [zip_derived_cl2288, zip_derived_cl113])).
% 31.07/7.40 thf(zip_derived_cl2416, plain, (~ (releasedAt @ filling @ n2)),
% 31.07/7.40 inference('demod', [status(thm)],
% 31.07/7.40 [zip_derived_cl2415, zip_derived_cl2289])).
% 31.07/7.40 thf(zip_derived_cl18552, plain,
% 31.07/7.40 (![X0 : $i]:
% 31.07/7.40 ( (holdsAt @ filling @ n3)
% 31.07/7.40 | ~ (terminates @ (sk__7 @ n2 @ filling) @ X0 @ n2)
% 31.07/7.40 | ~ (releasedAt @ X0 @ n3))),
% 31.07/7.40 inference('demod', [status(thm)],
% 31.07/7.40 [zip_derived_cl18550, zip_derived_cl2416])).
% 31.07/7.40 thf(zip_derived_cl18560, plain,
% 31.07/7.40 (( (holdsAt @ filling @ n3)
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | ~ (terminates @ (sk__7 @ n2 @ filling) @ filling @ n2))),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl2753, zip_derived_cl18552])).
% 31.07/7.40 thf(zip_derived_cl18562, plain,
% 31.07/7.40 ((~ (terminates @ (sk__7 @ n2 @ filling) @ filling @ n2)
% 31.07/7.40 | (holdsAt @ filling @ n3))),
% 31.07/7.40 inference('simplify', [status(thm)], [zip_derived_cl18560])).
% 31.07/7.40 thf(zip_derived_cl18614, plain,
% 31.07/7.40 ((((filling) != (filling))
% 31.07/7.40 | ((sk__7 @ n2 @ filling) != (overflow))
% 31.07/7.40 | (holdsAt @ filling @ n3))),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl49, zip_derived_cl18562])).
% 31.07/7.40 thf(zip_derived_cl18618, plain,
% 31.07/7.40 (( (holdsAt @ filling @ n3) | ((sk__7 @ n2 @ filling) != (overflow)))),
% 31.07/7.40 inference('simplify', [status(thm)], [zip_derived_cl18614])).
% 31.07/7.40 thf(zip_derived_cl18633, plain,
% 31.07/7.40 ((((n2) = (n0))
% 31.07/7.40 | ~ (releasedAt @ filling @ (plus @ n2 @ n1))
% 31.07/7.40 | (releasedAt @ filling @ n2)
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | ((overflow) != (overflow)))),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl911, zip_derived_cl18618])).
% 31.07/7.40 thf(zip_derived_cl83, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]: ((plus @ X1 @ X0) = (plus @ X0 @ X1))),
% 31.07/7.40 inference('cnf', [status(esa)], [symmetry_of_plus])).
% 31.07/7.40 thf(zip_derived_cl78, plain, (((plus @ n1 @ n2) = (n3))),
% 31.07/7.40 inference('cnf', [status(esa)], [plus1_2])).
% 31.07/7.40 thf(zip_derived_cl2416, plain, (~ (releasedAt @ filling @ n2)),
% 31.07/7.40 inference('demod', [status(thm)],
% 31.07/7.40 [zip_derived_cl2415, zip_derived_cl2289])).
% 31.07/7.40 thf(zip_derived_cl18635, plain,
% 31.07/7.40 ((((n2) = (n0))
% 31.07/7.40 | ~ (releasedAt @ filling @ n3)
% 31.07/7.40 | (holdsAt @ filling @ n3)
% 31.07/7.40 | ((overflow) != (overflow)))),
% 31.07/7.40 inference('demod', [status(thm)],
% 31.07/7.40 [zip_derived_cl18633, zip_derived_cl83, zip_derived_cl78,
% 31.07/7.40 zip_derived_cl2416])).
% 31.07/7.40 thf(zip_derived_cl18636, plain,
% 31.07/7.40 (( (holdsAt @ filling @ n3)
% 31.07/7.40 | ~ (releasedAt @ filling @ n3)
% 31.07/7.40 | ((n2) = (n0)))),
% 31.07/7.40 inference('simplify', [status(thm)], [zip_derived_cl18635])).
% 31.07/7.40 thf(zip_derived_cl675, plain,
% 31.07/7.40 (![X0 : $i]: (((X0) != (n0)) | (less @ X0 @ n1))),
% 31.07/7.40 inference('dp-resolution', [status(thm)],
% 31.07/7.40 [zip_derived_cl86, zip_derived_cl89])).
% 31.07/7.40 thf(zip_derived_cl721, plain, (~ (less @ n2 @ n1)),
% 31.07/7.40 inference('eq_res', [status(thm)], [zip_derived_cl716])).
% 31.07/7.40 thf(zip_derived_cl722, plain, (((n2) != (n0))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl675, zip_derived_cl721])).
% 31.07/7.40 thf(zip_derived_cl18637, plain,
% 31.07/7.40 (( (holdsAt @ filling @ n3) | ~ (releasedAt @ filling @ n3))),
% 31.07/7.40 inference('simplify_reflect-', [status(thm)],
% 31.07/7.40 [zip_derived_cl18636, zip_derived_cl722])).
% 31.07/7.40 thf(zip_derived_cl2753, plain,
% 31.07/7.40 (( (holdsAt @ filling @ n3) | (releasedAt @ filling @ n3))),
% 31.07/7.40 inference('simplify', [status(thm)], [zip_derived_cl2751])).
% 31.07/7.40 thf(zip_derived_cl18638, plain, ( (holdsAt @ filling @ n3)),
% 31.07/7.40 inference('clc', [status(thm)], [zip_derived_cl18637, zip_derived_cl2753])).
% 31.07/7.40 thf(zip_derived_cl56, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (zip_tseitin_4 @ X0 @ X1)
% 31.07/7.40 | ((X1) != (overflow))
% 31.07/7.40 | ~ (holdsAt @ filling @ X0)
% 31.07/7.40 | ~ (holdsAt @ (waterLevel @ n3) @ X0))),
% 31.07/7.40 inference('cnf', [status(esa)], [zf_stmt_4])).
% 31.07/7.40 thf(zip_derived_cl62, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 ( (happens @ X0 @ X1) | ~ (zip_tseitin_4 @ X1 @ X0))),
% 31.07/7.40 inference('cnf', [status(esa)], [zf_stmt_5])).
% 31.07/7.40 thf(zip_derived_cl816, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (~ (holdsAt @ (waterLevel @ n3) @ X1)
% 31.07/7.40 | ~ (holdsAt @ filling @ X1)
% 31.07/7.40 | ((X0) != (overflow))
% 31.07/7.40 | (happens @ X0 @ X1))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl62])).
% 31.07/7.40 thf(zip_derived_cl1596, plain,
% 31.07/7.40 (![X0 : $i]:
% 31.07/7.40 ( (happens @ overflow @ X0)
% 31.07/7.40 | ~ (holdsAt @ filling @ X0)
% 31.07/7.40 | ~ (holdsAt @ (waterLevel @ n3) @ X0))),
% 31.07/7.40 inference('eq_res', [status(thm)], [zip_derived_cl816])).
% 31.07/7.40 thf(zip_derived_cl18653, plain,
% 31.07/7.40 (( (happens @ overflow @ n3) | ~ (holdsAt @ (waterLevel @ n3) @ n3))),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl18638, zip_derived_cl1596])).
% 31.07/7.40 thf(waterLevel_3, axiom, (holdsAt @ ( waterLevel @ n3 ) @ n3)).
% 31.07/7.40 thf(zip_derived_cl115, plain, ( (holdsAt @ (waterLevel @ n3) @ n3)),
% 31.07/7.40 inference('cnf', [status(esa)], [waterLevel_3])).
% 31.07/7.40 thf(zip_derived_cl18666, plain, ( (happens @ overflow @ n3)),
% 31.07/7.40 inference('demod', [status(thm)],
% 31.07/7.40 [zip_derived_cl18653, zip_derived_cl115])).
% 31.07/7.40 thf(zip_derived_cl953, plain,
% 31.07/7.40 (![X0 : $i, X1 : $i]:
% 31.07/7.40 (~ (happens @ X1 @ n3)
% 31.07/7.40 | ~ (terminates @ X1 @ X0 @ n3)
% 31.07/7.40 | ~ (holdsAt @ X0 @ n4))),
% 31.07/7.40 inference('s_sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl767])).
% 31.07/7.40 thf(zip_derived_cl18680, plain,
% 31.07/7.40 (![X0 : $i]:
% 31.07/7.40 (~ (terminates @ overflow @ X0 @ n3) | ~ (holdsAt @ X0 @ n4))),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl18666, zip_derived_cl953])).
% 31.07/7.40 thf(zip_derived_cl18703, plain, (~ (terminates @ overflow @ filling @ n3)),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl116, zip_derived_cl18680])).
% 31.07/7.40 thf(zip_derived_cl18708, plain,
% 31.07/7.40 ((((filling) != (filling)) | ((overflow) != (overflow)))),
% 31.07/7.40 inference('s_sup-', [status(thm)],
% 31.07/7.40 [zip_derived_cl49, zip_derived_cl18703])).
% 31.07/7.40 thf(zip_derived_cl18710, plain, ($false),
% 31.07/7.40 inference('simplify', [status(thm)], [zip_derived_cl18708])).
% 31.07/7.40
% 31.07/7.40 % SZS output end Refutation
% 31.07/7.40
% 31.07/7.40
% 31.07/7.40 % Terminating...
% 31.53/7.57 % Runner terminated.
% 31.53/7.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------