%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CSR012+1 : TPTP v9.2.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Jo8fNJfYOn true
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:30:50 PM UTC 2025
% Result : Theorem 1.21s 1.06s
% Output : Refutation 1.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CSR012+1 : TPTP v9.2.0. Bugfixed v3.1.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Jo8fNJfYOn true
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 15:04:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.58 % Total configuration time : 435
% 0.21/0.58 % Estimated wc time : 1092
% 0.21/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.75/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.75/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.75/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.75/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.75/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.75/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.75/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.21/1.06 % Solved by fo/fo5.sh.
% 1.21/1.06 % done 972 iterations in 0.333s
% 1.21/1.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.21/1.06 % SZS output start Refutation
% 1.21/1.06 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 1.21/1.06 thf(waterLevel_type, type, waterLevel: $i > $i).
% 1.21/1.06 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 1.21/1.06 thf(n3_type, type, n3: $i).
% 1.21/1.06 thf(tapOn_type, type, tapOn: $i).
% 1.21/1.06 thf(spilling_type, type, spilling: $i).
% 1.21/1.06 thf(initiates_type, type, initiates: $i > $i > $i > $o).
% 1.21/1.06 thf(happens_type, type, happens: $i > $i > $o).
% 1.21/1.06 thf(n1_type, type, n1: $i).
% 1.21/1.06 thf(filling_type, type, filling: $i).
% 1.21/1.06 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 1.21/1.06 thf(sk__1_type, type, sk__1: $i > $i > $i > $i).
% 1.21/1.06 thf(less_or_equal_type, type, less_or_equal: $i > $i > $o).
% 1.21/1.06 thf(trajectory_type, type, trajectory: $i > $i > $i > $i > $o).
% 1.21/1.06 thf(overflow_type, type, overflow: $i).
% 1.21/1.06 thf(less_type, type, less: $i > $i > $o).
% 1.21/1.06 thf(plus_type, type, plus: $i > $i > $i).
% 1.21/1.06 thf(stoppedIn_type, type, stoppedIn: $i > $i > $i > $o).
% 1.21/1.06 thf(holdsAt_type, type, holdsAt: $i > $i > $o).
% 1.21/1.06 thf(n0_type, type, n0: $i).
% 1.21/1.06 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $o).
% 1.21/1.06 thf(terminates_type, type, terminates: $i > $i > $i > $o).
% 1.21/1.06 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 1.21/1.06 thf(tapOff_type, type, tapOff: $i).
% 1.21/1.06 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 1.21/1.06 thf(initiates_all_defn, axiom,
% 1.21/1.06 (![Event:$i,Fluent:$i,Time:$i]:
% 1.21/1.06 ( ( initiates @ Event @ Fluent @ Time ) <=>
% 1.21/1.06 ( ( ?[Height:$i]:
% 1.21/1.06 ( ( holdsAt @ ( waterLevel @ Height ) @ Time ) &
% 1.21/1.06 ( ( Event ) = ( overflow ) ) &
% 1.21/1.06 ( ( Fluent ) = ( waterLevel @ Height ) ) ) ) |
% 1.21/1.06 ( ?[Height:$i]:
% 1.21/1.06 ( ( holdsAt @ ( waterLevel @ Height ) @ Time ) &
% 1.21/1.06 ( ( Event ) = ( tapOff ) ) &
% 1.21/1.06 ( ( Fluent ) = ( waterLevel @ Height ) ) ) ) |
% 1.21/1.06 ( ( ( Fluent ) = ( spilling ) ) & ( ( Event ) = ( overflow ) ) ) |
% 1.21/1.06 ( ( ( Fluent ) = ( filling ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 1.21/1.06 thf(zf_stmt_0, axiom,
% 1.21/1.06 (![Fluent:$i,Event:$i]:
% 1.21/1.06 ( ( zip_tseitin_3 @ Fluent @ Event ) <=>
% 1.21/1.06 ( ( ( Event ) = ( tapOn ) ) & ( ( Fluent ) = ( filling ) ) ) ))).
% 1.21/1.06 thf(zip_derived_cl38, plain,
% 1.21/1.06 (![X0 : $i, X1 : $i]:
% 1.21/1.06 ( (zip_tseitin_3 @ X0 @ X1) | ((X0) != (filling)) | ((X1) != (tapOn)))),
% 1.21/1.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.21/1.06 thf(zip_derived_cl156, plain,
% 1.21/1.06 (![X0 : $i]: (((X0) != (tapOn)) | (zip_tseitin_3 @ filling @ X0))),
% 1.21/1.06 inference('eq_res', [status(thm)], [zip_derived_cl38])).
% 1.21/1.06 thf(zip_derived_cl321, plain, ( (zip_tseitin_3 @ filling @ tapOn)),
% 1.21/1.06 inference('eq_res', [status(thm)], [zip_derived_cl156])).
% 1.21/1.06 thf(zf_stmt_1, type, zip_tseitin_3 : $i > $i > $o).
% 1.21/1.06 thf(zf_stmt_2, type, zip_tseitin_2 : $i > $i > $o).
% 1.21/1.06 thf(zf_stmt_3, axiom,
% 1.21/1.06 (![Fluent:$i,Event:$i]:
% 1.21/1.06 ( ( zip_tseitin_2 @ Fluent @ Event ) <=>
% 1.21/1.06 ( ( ( Event ) = ( overflow ) ) & ( ( Fluent ) = ( spilling ) ) ) ))).
% 1.21/1.06 thf(zf_stmt_4, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 1.21/1.06 thf(zf_stmt_5, axiom,
% 1.21/1.06 (![Height:$i,Time:$i,Fluent:$i,Event:$i]:
% 1.21/1.06 ( ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event ) <=>
% 1.21/1.06 ( ( ( Fluent ) = ( waterLevel @ Height ) ) &
% 1.21/1.06 ( ( Event ) = ( tapOff ) ) &
% 1.21/1.06 ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ))).
% 1.21/1.06 thf(zf_stmt_6, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 1.21/1.06 thf(zf_stmt_7, axiom,
% 1.21/1.06 (![Height:$i,Time:$i,Fluent:$i,Event:$i]:
% 1.21/1.06 ( ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) <=>
% 1.21/1.06 ( ( ( Fluent ) = ( waterLevel @ Height ) ) &
% 1.21/1.06 ( ( Event ) = ( overflow ) ) &
% 1.21/1.06 ( holdsAt @ ( waterLevel @ Height ) @ Time ) ) ))).
% 1.21/1.06 thf(zf_stmt_8, axiom,
% 1.21/1.06 (![Event:$i,Fluent:$i,Time:$i]:
% 1.21/1.06 ( ( initiates @ Event @ Fluent @ Time ) <=>
% 1.21/1.06 ( ( zip_tseitin_3 @ Fluent @ Event ) |
% 1.21/1.06 ( zip_tseitin_2 @ Fluent @ Event ) |
% 1.21/1.06 ( ?[Height:$i]: ( zip_tseitin_1 @ Height @ Time @ Fluent @ Event ) ) |
% 1.21/1.06 ( ?[Height:$i]: ( zip_tseitin_0 @ Height @ Time @ Fluent @ Event ) ) ) ))).
% 1.21/1.06 thf(zip_derived_cl40, plain,
% 1.21/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.21/1.06 ( (initiates @ X0 @ X1 @ X2) | ~ (zip_tseitin_3 @ X1 @ X0))),
% 1.21/1.06 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.21/1.06 thf(zip_derived_cl379, plain,
% 1.21/1.06 (![X0 : $i]: (initiates @ tapOn @ filling @ X0)),
% 1.21/1.06 inference('sup-', [status(thm)], [zip_derived_cl321, zip_derived_cl40])).
% 1.21/1.06 thf(plus0_1, axiom, (( plus @ n0 @ n1 ) = ( n1 ))).
% 1.21/1.06 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 1.21/1.06 inference('cnf', [status(esa)], [plus0_1])).
% 1.21/1.06 thf(waterLevel_0, axiom, (holdsAt @ ( waterLevel @ n0 ) @ n0)).
% 1.21/1.06 thf(zip_derived_cl109, plain, ( (holdsAt @ (waterLevel @ n0) @ n0)),
% 1.21/1.06 inference('cnf', [status(esa)], [waterLevel_0])).
% 1.21/1.06 thf(change_of_waterLevel, axiom,
% 1.21/1.06 (![Height1:$i,Time:$i,Height2:$i,Offset:$i]:
% 1.21/1.06 ( ( ( holdsAt @ ( waterLevel @ Height1 ) @ Time ) &
% 1.21/1.06 ( ( Height2 ) = ( plus @ Height1 @ Offset ) ) ) =>
% 1.21/1.06 ( trajectory @ filling @ Time @ ( waterLevel @ Height2 ) @ Offset ) ))).
% 1.21/1.06 thf(zip_derived_cl63, plain,
% 1.21/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.21/1.06 (~ (holdsAt @ (waterLevel @ X0) @ X1)
% 1.21/1.06 | ((X3) != (plus @ X0 @ X2))
% 1.21/1.06 | (trajectory @ filling @ X1 @ (waterLevel @ X3) @ X2))),
% 1.21/1.06 inference('cnf', [status(esa)], [change_of_waterLevel])).
% 1.21/1.06 thf(zip_derived_cl323, plain,
% 1.21/1.06 (![X0 : $i, X1 : $i]:
% 1.21/1.06 ( (trajectory @ filling @ n0 @ (waterLevel @ X1) @ X0)
% 1.21/1.06 | ((X1) != (plus @ n0 @ X0)))),
% 1.21/1.06 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl63])).
% 1.21/1.06 thf(zip_derived_cl1597, plain,
% 1.21/1.06 (![X0 : $i]:
% 1.21/1.06 (((X0) != (n1))
% 1.21/1.06 | (trajectory @ filling @ n0 @ (waterLevel @ X0) @ n1))),
% 1.21/1.06 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl323])).
% 1.21/1.06 thf(zip_derived_cl1601, plain,
% 1.21/1.06 ( (trajectory @ filling @ n0 @ (waterLevel @ n1) @ n1)),
% 1.21/1.06 inference('eq_res', [status(thm)], [zip_derived_cl1597])).
% 1.21/1.06 thf(less_or_equal, axiom,
% 1.21/1.06 (![X:$i,Y:$i]:
% 1.21/1.06 ( ( less_or_equal @ X @ Y ) <=> ( ( less @ X @ Y ) | ( ( X ) = ( Y ) ) ) ))).
% 1.21/1.06 thf(zip_derived_cl86, plain,
% 1.21/1.06 (![X0 : $i, X1 : $i]: ( (less_or_equal @ X0 @ X1) | ((X0) != (X1)))),
% 1.21/1.06 inference('cnf', [status(esa)], [less_or_equal])).
% 1.21/1.06 thf(zip_derived_cl120, plain, (![X0 : $i]: (less_or_equal @ X0 @ X0)),
% 1.21/1.06 inference('eq_res', [status(thm)], [zip_derived_cl86])).
% 1.21/1.06 thf(less1, axiom,
% 1.21/1.06 (![X:$i]: ( ( less @ X @ n1 ) <=> ( less_or_equal @ X @ n0 ) ))).
% 1.21/1.06 thf(zip_derived_cl89, plain,
% 1.21/1.06 (![X0 : $i]: ( (less @ X0 @ n1) | ~ (less_or_equal @ X0 @ n0))),
% 1.21/1.06 inference('cnf', [status(esa)], [less1])).
% 1.21/1.06 thf(zip_derived_cl121, plain, ( (less @ n0 @ n1)),
% 1.21/1.06 inference('sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl89])).
% 1.21/1.06 thf(change_holding, axiom,
% 1.21/1.06 (![Event:$i,Time:$i,Fluent:$i,Fluent2:$i,Offset:$i]:
% 1.21/1.06 ( ( ( happens @ Event @ Time ) & ( initiates @ Event @ Fluent @ Time ) &
% 1.21/1.06 ( less @ n0 @ Offset ) &
% 1.21/1.06 ( trajectory @ Fluent @ Time @ Fluent2 @ Offset ) &
% 1.21/1.06 ( ~( stoppedIn @ Time @ Fluent @ ( plus @ Time @ Offset ) ) ) ) =>
% 1.21/1.06 ( holdsAt @ Fluent2 @ ( plus @ Time @ Offset ) ) ))).
% 1.21/1.06 thf(zip_derived_cl10, plain,
% 1.21/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.21/1.06 (~ (initiates @ X0 @ X1 @ X2)
% 1.21/1.06 | ~ (happens @ X0 @ X2)
% 1.21/1.06 | ~ (less @ n0 @ X3)
% 1.21/1.06 | ~ (trajectory @ X1 @ X2 @ X4 @ X3)
% 1.21/1.06 | (stoppedIn @ X2 @ X1 @ (plus @ X2 @ X3))
% 1.21/1.06 | (holdsAt @ X4 @ (plus @ X2 @ X3)))),
% 1.21/1.06 inference('cnf', [status(esa)], [change_holding])).
% 1.21/1.06 thf(zip_derived_cl315, plain,
% 1.21/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.21/1.06 ( (holdsAt @ X1 @ (plus @ X0 @ n1))
% 1.21/1.06 | (stoppedIn @ X0 @ X2 @ (plus @ X0 @ n1))
% 1.21/1.06 | ~ (trajectory @ X2 @ X0 @ X1 @ n1)
% 1.21/1.06 | ~ (happens @ X3 @ X0)
% 1.21/1.06 | ~ (initiates @ X3 @ X2 @ X0))),
% 1.21/1.06 inference('sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl10])).
% 1.21/1.06 thf(zip_derived_cl1603, plain,
% 1.21/1.06 (![X0 : $i]:
% 1.21/1.06 (~ (initiates @ X0 @ filling @ n0)
% 1.21/1.06 | ~ (happens @ X0 @ n0)
% 1.21/1.06 | (stoppedIn @ n0 @ filling @ (plus @ n0 @ n1))
% 1.21/1.06 | (holdsAt @ (waterLevel @ n1) @ (plus @ n0 @ n1)))),
% 1.21/1.06 inference('sup-', [status(thm)], [zip_derived_cl1601, zip_derived_cl315])).
% 1.21/1.06 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 1.21/1.06 inference('cnf', [status(esa)], [plus0_1])).
% 1.21/1.06 thf(zip_derived_cl74, plain, (((plus @ n0 @ n1) = (n1))),
% 1.21/1.06 inference('cnf', [status(esa)], [plus0_1])).
% 1.21/1.06 thf(waterLevel_1, conjecture, (holdsAt @ ( waterLevel @ n1 ) @ n1)).
% 1.21/1.06 thf(zf_stmt_9, negated_conjecture, (~( holdsAt @ ( waterLevel @ n1 ) @ n1 )),
% 1.21/1.06 inference('cnf.neg', [status(esa)], [waterLevel_1])).
% 1.21/1.06 thf(zip_derived_cl115, plain, (~ (holdsAt @ (waterLevel @ n1) @ n1)),
% 1.21/1.06 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.21/1.06 thf(zip_derived_cl1605, plain,
% 1.21/1.06 (![X0 : $i]:
% 1.21/1.06 (~ (initiates @ X0 @ filling @ n0)
% 1.21/1.06 | ~ (happens @ X0 @ n0)
% 1.21/1.06 | (stoppedIn @ n0 @ filling @ n1))),
% 1.21/1.06 inference('demod', [status(thm)],
% 1.21/1.06 [zip_derived_cl1603, zip_derived_cl74, zip_derived_cl74,
% 1.21/1.06 zip_derived_cl115])).
% 1.21/1.06 thf(zip_derived_cl1606, plain,
% 1.21/1.06 (( (stoppedIn @ n0 @ filling @ n1) | ~ (happens @ tapOn @ n0))),
% 1.21/1.06 inference('sup-', [status(thm)], [zip_derived_cl379, zip_derived_cl1605])).
% 1.21/1.06 thf(happens_all_defn, axiom,
% 1.21/1.06 (![Event:$i,Time:$i]:
% 1.21/1.06 ( ( happens @ Event @ Time ) <=>
% 1.21/1.06 ( ( ( ( Event ) = ( overflow ) ) & ( holdsAt @ filling @ Time ) &
% 1.21/1.06 ( holdsAt @ ( waterLevel @ n3 ) @ Time ) ) |
% 1.21/1.06 ( ( ( Time ) = ( n0 ) ) & ( ( Event ) = ( tapOn ) ) ) ) ))).
% 1.21/1.06 thf(zf_stmt_10, axiom,
% 1.21/1.06 (![Time:$i,Event:$i]:
% 1.21/1.06 ( ( zip_tseitin_5 @ Time @ Event ) <=>
% 1.21/1.06 ( ( ( Event ) = ( tapOn ) ) & ( ( Time ) = ( n0 ) ) ) ))).
% 1.21/1.06 thf(zip_derived_cl59, plain,
% 1.21/1.06 (![X0 : $i, X1 : $i]:
% 1.21/1.06 ( (zip_tseitin_5 @ X0 @ X1) | ((X0) != (n0)) | ((X1) != (tapOn)))),
% 1.21/1.06 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.21/1.06 thf(zip_derived_cl157, plain,
% 1.21/1.06 (![X0 : $i]: (((X0) != (tapOn)) | (zip_tseitin_5 @ n0 @ X0))),
% 1.21/1.06 inference('eq_res', [status(thm)], [zip_derived_cl59])).
% 1.21/1.06 thf(zip_derived_cl322, plain, ( (zip_tseitin_5 @ n0 @ tapOn)),
% 1.21/1.06 inference('eq_res', [status(thm)], [zip_derived_cl157])).
% 1.21/1.06 thf(zf_stmt_11, type, zip_tseitin_5 : $i > $i > $o).
% 1.21/1.06 thf(zf_stmt_12, type, zip_tseitin_4 : $i > $i > $o).
% 1.21/1.06 thf(zf_stmt_13, axiom,
% 1.21/1.06 (![Time:$i,Event:$i]:
% 1.21/1.06 ( ( zip_tseitin_4 @ Time @ Event ) <=>
% 1.21/1.06 ( ( holdsAt @ ( waterLevel @ n3 ) @ Time ) &
% 1.21/1.06 ( holdsAt @ filling @ Time ) & ( ( Event ) = ( overflow ) ) ) ))).
% 1.21/1.06 thf(zf_stmt_14, axiom,
% 1.21/1.06 (![Event:$i,Time:$i]:
% 1.21/1.06 ( ( happens @ Event @ Time ) <=>
% 1.21/1.06 ( ( zip_tseitin_5 @ Time @ Event ) | ( zip_tseitin_4 @ Time @ Event ) ) ))).
% 1.21/1.06 thf(zip_derived_cl61, plain,
% 1.21/1.06 (![X0 : $i, X1 : $i]:
% 1.21/1.06 ( (happens @ X0 @ X1) | ~ (zip_tseitin_5 @ X1 @ X0))),
% 1.21/1.06 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.21/1.06 thf(zip_derived_cl385, plain, ( (happens @ tapOn @ n0)),
% 1.21/1.06 inference('sup-', [status(thm)], [zip_derived_cl322, zip_derived_cl61])).
% 1.21/1.06 thf(zip_derived_cl1607, plain, ( (stoppedIn @ n0 @ filling @ n1)),
% 1.21/1.06 inference('demod', [status(thm)], [zip_derived_cl1606, zip_derived_cl385])).
% 1.21/1.06 thf(stoppedin_defn, axiom,
% 1.21/1.06 (![Time1:$i,Fluent:$i,Time2:$i]:
% 1.21/1.06 ( ( stoppedIn @ Time1 @ Fluent @ Time2 ) <=>
% 1.21/1.06 ( ?[Event:$i,Time:$i]:
% 1.21/1.06 ( ( terminates @ Event @ Fluent @ Time ) & ( less @ Time @ Time2 ) &
% 1.21/1.06 ( less @ Time1 @ Time ) & ( happens @ Event @ Time ) ) ) ))).
% 1.21/1.06 thf(zip_derived_cl2, plain,
% 1.21/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.21/1.06 ( (less @ X0 @ (sk__1 @ X1 @ X2 @ X0)) | ~ (stoppedIn @ X0 @ X2 @ X1))),
% 1.21/1.06 inference('cnf', [status(esa)], [stoppedin_defn])).
% 1.21/1.06 thf(zip_derived_cl1611, plain, ( (less @ n0 @ (sk__1 @ n1 @ filling @ n0))),
% 1.21/1.06 inference('sup-', [status(thm)], [zip_derived_cl1607, zip_derived_cl2])).
% 1.21/1.06 thf(zip_derived_cl1607, plain, ( (stoppedIn @ n0 @ filling @ n1)),
% 1.21/1.06 inference('demod', [status(thm)], [zip_derived_cl1606, zip_derived_cl385])).
% 1.21/1.06 thf(zip_derived_cl1, plain,
% 1.21/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.21/1.06 ( (less @ (sk__1 @ X0 @ X1 @ X2) @ X0) | ~ (stoppedIn @ X2 @ X1 @ X0))),
% 1.21/1.06 inference('cnf', [status(esa)], [stoppedin_defn])).
% 1.21/1.06 thf(zip_derived_cl1609, plain, ( (less @ (sk__1 @ n1 @ filling @ n0) @ n1)),
% 1.21/1.06 inference('sup-', [status(thm)], [zip_derived_cl1607, zip_derived_cl1])).
% 1.21/1.06 thf(zip_derived_cl88, plain,
% 1.21/1.06 (![X0 : $i]: ( (less_or_equal @ X0 @ n0) | ~ (less @ X0 @ n1))),
% 1.21/1.06 inference('cnf', [status(esa)], [less1])).
% 1.21/1.06 thf(zip_derived_cl1614, plain,
% 1.21/1.06 ( (less_or_equal @ (sk__1 @ n1 @ filling @ n0) @ n0)),
% 1.21/1.06 inference('sup-', [status(thm)], [zip_derived_cl1609, zip_derived_cl88])).
% 1.21/1.06 thf(zip_derived_cl84, plain,
% 1.21/1.06 (![X0 : $i, X1 : $i]:
% 1.21/1.06 (((X1) = (X0)) | (less @ X1 @ X0) | ~ (less_or_equal @ X1 @ X0))),
% 1.21/1.06 inference('cnf', [status(esa)], [less_or_equal])).
% 1.21/1.06 thf(zip_derived_cl1646, plain,
% 1.21/1.06 (( (less @ (sk__1 @ n1 @ filling @ n0) @ n0)
% 1.21/1.06 | ((sk__1 @ n1 @ filling @ n0) = (n0)))),
% 1.21/1.06 inference('sup-', [status(thm)], [zip_derived_cl1614, zip_derived_cl84])).
% 1.21/1.06 thf(less0, axiom, (~( ?[X:$i]: ( less @ X @ n0 ) ))).
% 1.21/1.06 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 1.21/1.06 inference('cnf', [status(esa)], [less0])).
% 1.21/1.06 thf(zip_derived_cl1920, plain, (((sk__1 @ n1 @ filling @ n0) = (n0))),
% 1.21/1.06 inference('clc', [status(thm)], [zip_derived_cl1646, zip_derived_cl87])).
% 1.21/1.06 thf(zip_derived_cl87, plain, (![X0 : $i]: ~ (less @ X0 @ n0)),
% 1.21/1.06 inference('cnf', [status(esa)], [less0])).
% 1.21/1.06 thf(zip_derived_cl1923, plain, ($false),
% 1.21/1.06 inference('demod', [status(thm)],
% 1.21/1.06 [zip_derived_cl1611, zip_derived_cl1920, zip_derived_cl87])).
% 1.21/1.06
% 1.21/1.06 % SZS output end Refutation
% 1.21/1.06
% 1.21/1.06
% 1.21/1.06 % Terminating...
% 1.67/1.18 % Runner terminated.
% 1.67/1.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------