%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX228-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gm37Lth1Av true
% Computer : n027.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 : Tue May 5 07:08:53 PM UTC 2026
% Result : Unsatisfiable 0.54s 0.83s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX228-1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gm37Lth1Av true
% 0.16/0.34 % Computer : n027.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 12:56:49 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.34 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.83 % Solved by fo/fo3_bce.sh.
% 0.54/0.83 % BCE start: 26
% 0.54/0.83 % BCE eliminated: 0
% 0.54/0.83 % PE start: 26
% 0.54/0.83 logic: eq
% 0.54/0.83 % PE eliminated: 0
% 0.54/0.83 % done 208 iterations in 0.111s
% 0.54/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.83 % SZS output start Refutation
% 0.54/0.83 thf(btrue_type, type, btrue: $i).
% 0.54/0.83 thf(cons_type, type, cons: $i > $i > $i).
% 0.54/0.83 thf(nil_type, type, nil: $i).
% 0.54/0.83 thf(eq_type, type, eq: $i > $i > $i).
% 0.54/0.83 thf(elem_type, type, elem: $i > $i > $i).
% 0.54/0.83 thf(eqNat_type, type, eqNat: $i > $i > $i).
% 0.54/0.83 thf(barbar_type, type, barbar: $i > $i > $i).
% 0.54/0.83 thf(eq2_type, type, eq2: $i > $i > $i).
% 0.54/0.83 thf(aux_type, type, aux: $i > $i > $i > $i > $i).
% 0.54/0.83 thf(prop_union_comm_type, type, prop_union_comm: $i > $i > $i).
% 0.54/0.83 thf(eq3_type, type, eq3: $i > $i > $i).
% 0.54/0.83 thf(s_type, type, s: $i > $i).
% 0.54/0.83 thf(bfalse_type, type, bfalse: $i).
% 0.54/0.83 thf(union_type, type, union: $i > $i > $i).
% 0.54/0.83 thf(z_type, type, z: $i).
% 0.54/0.83 thf(axiom_010, axiom, (( union @ nil @ Y ) = ( Y ))).
% 0.54/0.83 thf(zip_derived_cl10, plain, (![X0 : $i]: ((union @ nil @ X0) = (X0))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom_010])).
% 0.54/0.83 thf(axiom_007, axiom, (( eqNat @ z @ z ) = ( btrue ))).
% 0.54/0.83 thf(zip_derived_cl7, plain, (((eqNat @ z @ z) = (btrue))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom_007])).
% 0.54/0.83 thf(axiom_009, axiom,
% 0.54/0.83 (( elem @ X @ ( cons @ Z @ Xs ) ) =
% 0.54/0.83 ( barbar @ ( eqNat @ X @ Z ) @ ( elem @ X @ Xs ) ))).
% 0.54/0.83 thf(zip_derived_cl9, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.83 ((elem @ X0 @ (cons @ X1 @ X2))
% 0.54/0.83 = (barbar @ (eqNat @ X0 @ X1) @ (elem @ X0 @ X2)))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom_009])).
% 0.54/0.83 thf(axiom_011, axiom,
% 0.54/0.83 (( union @ ( cons @ Z @ Xs ) @ Y ) =
% 0.54/0.83 ( aux @ Y @ Z @ Xs @ ( elem @ Z @ Y ) ))).
% 0.54/0.83 thf(zip_derived_cl11, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.83 ((union @ (cons @ X1 @ X2) @ X0)
% 0.54/0.83 = (aux @ X0 @ X1 @ X2 @ (elem @ X1 @ X0)))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom_011])).
% 0.54/0.83 thf(zip_derived_cl48, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.83 ((union @ (cons @ X1 @ X3) @ (cons @ X2 @ X0))
% 0.54/0.83 = (aux @ (cons @ X2 @ X0) @ X1 @ X3 @
% 0.54/0.83 (barbar @ (eqNat @ X1 @ X2) @ (elem @ X1 @ X0))))),
% 0.54/0.83 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl11])).
% 0.54/0.83 thf(zip_derived_cl149, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((union @ (cons @ z @ X1) @ (cons @ z @ X0))
% 0.54/0.83 = (aux @ (cons @ z @ X0) @ z @ X1 @
% 0.54/0.83 (barbar @ btrue @ (elem @ z @ X0))))),
% 0.54/0.83 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl48])).
% 0.54/0.83 thf(axiom_002, axiom, (( barbar @ btrue @ Y ) = ( btrue ))).
% 0.54/0.83 thf(zip_derived_cl2, plain, (![X0 : $i]: ((barbar @ btrue @ X0) = (btrue))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom_002])).
% 0.54/0.83 thf(axiom, axiom, (( aux @ Y @ Z @ Xs @ btrue ) = ( union @ Xs @ Y ))).
% 0.54/0.83 thf(zip_derived_cl0, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.83 ((aux @ X1 @ X2 @ X0 @ btrue) = (union @ X0 @ X1))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom])).
% 0.54/0.83 thf(zip_derived_cl153, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((union @ (cons @ z @ X1) @ (cons @ z @ X0))
% 0.54/0.83 = (union @ X1 @ (cons @ z @ X0)))),
% 0.54/0.83 inference('demod', [status(thm)],
% 0.54/0.83 [zip_derived_cl149, zip_derived_cl2, zip_derived_cl0])).
% 0.54/0.83 thf(axiom_012, axiom,
% 0.54/0.83 (( prop_union_comm @ X @ Y ) =
% 0.54/0.83 ( eq @ ( union @ X @ Y ) @ ( union @ Y @ X ) ))).
% 0.54/0.83 thf(zip_derived_cl12, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((prop_union_comm @ X0 @ X1)
% 0.54/0.83 = (eq @ (union @ X0 @ X1) @ (union @ X1 @ X0)))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom_012])).
% 0.54/0.83 thf(zip_derived_cl159, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((prop_union_comm @ (cons @ z @ X1) @ (cons @ z @ X0))
% 0.54/0.83 = (eq @ (union @ X1 @ (cons @ z @ X0)) @
% 0.54/0.83 (union @ (cons @ z @ X0) @ (cons @ z @ X1))))),
% 0.54/0.83 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl12])).
% 0.54/0.83 thf(zip_derived_cl153, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((union @ (cons @ z @ X1) @ (cons @ z @ X0))
% 0.54/0.83 = (union @ X1 @ (cons @ z @ X0)))),
% 0.54/0.83 inference('demod', [status(thm)],
% 0.54/0.83 [zip_derived_cl149, zip_derived_cl2, zip_derived_cl0])).
% 0.54/0.83 thf(zip_derived_cl164, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((prop_union_comm @ (cons @ z @ X1) @ (cons @ z @ X0))
% 0.54/0.83 = (eq @ (union @ X1 @ (cons @ z @ X0)) @
% 0.54/0.83 (union @ X0 @ (cons @ z @ X1))))),
% 0.54/0.83 inference('demod', [status(thm)], [zip_derived_cl159, zip_derived_cl153])).
% 0.54/0.83 thf(zip_derived_cl803, plain,
% 0.54/0.83 (![X0 : $i]:
% 0.54/0.83 ((prop_union_comm @ (cons @ z @ X0) @ (cons @ z @ nil))
% 0.54/0.83 = (eq @ (union @ X0 @ (cons @ z @ nil)) @ (cons @ z @ X0)))),
% 0.54/0.83 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl164])).
% 0.54/0.83 thf(axiom_005, axiom, (( eqNat @ ( s @ Z ) @ z ) = ( bfalse ))).
% 0.54/0.83 thf(zip_derived_cl5, plain,
% 0.54/0.83 (![X0 : $i]: ((eqNat @ (s @ X0) @ z) = (bfalse))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom_005])).
% 0.54/0.83 thf(axiom_008, axiom, (( elem @ X @ nil ) = ( bfalse ))).
% 0.54/0.83 thf(zip_derived_cl8, plain, (![X0 : $i]: ((elem @ X0 @ nil) = (bfalse))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom_008])).
% 0.54/0.83 thf(zip_derived_cl48, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.83 ((union @ (cons @ X1 @ X3) @ (cons @ X2 @ X0))
% 0.54/0.83 = (aux @ (cons @ X2 @ X0) @ X1 @ X3 @
% 0.54/0.83 (barbar @ (eqNat @ X1 @ X2) @ (elem @ X1 @ X0))))),
% 0.54/0.83 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl11])).
% 0.54/0.83 thf(zip_derived_cl145, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.83 ((union @ (cons @ X0 @ X2) @ (cons @ X1 @ nil))
% 0.54/0.83 = (aux @ (cons @ X1 @ nil) @ X0 @ X2 @
% 0.54/0.83 (barbar @ (eqNat @ X0 @ X1) @ bfalse)))),
% 0.54/0.83 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl48])).
% 0.54/0.83 thf(zip_derived_cl415, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((union @ (cons @ (s @ X0) @ X1) @ (cons @ z @ nil))
% 0.54/0.83 = (aux @ (cons @ z @ nil) @ (s @ X0) @ X1 @
% 0.54/0.83 (barbar @ bfalse @ bfalse)))),
% 0.54/0.83 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl145])).
% 0.54/0.83 thf(axiom_003, axiom, (( barbar @ bfalse @ Y ) = ( Y ))).
% 0.54/0.83 thf(zip_derived_cl3, plain, (![X0 : $i]: ((barbar @ bfalse @ X0) = (X0))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom_003])).
% 0.54/0.83 thf(axiom_001, axiom,
% 0.54/0.83 (( aux @ Y @ Z @ Xs @ bfalse ) = ( cons @ Z @ ( union @ Xs @ Y ) ))).
% 0.54/0.83 thf(zip_derived_cl1, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.83 ((aux @ X2 @ X0 @ X1 @ bfalse) = (cons @ X0 @ (union @ X1 @ X2)))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom_001])).
% 0.54/0.83 thf(zip_derived_cl418, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((union @ (cons @ (s @ X0) @ X1) @ (cons @ z @ nil))
% 0.54/0.83 = (cons @ (s @ X0) @ (union @ X1 @ (cons @ z @ nil))))),
% 0.54/0.83 inference('demod', [status(thm)],
% 0.54/0.83 [zip_derived_cl415, zip_derived_cl3, zip_derived_cl1])).
% 0.54/0.83 thf(axiom_016, axiom, (( eq2 @ ( s @ X ) @ z ) = ( bfalse ))).
% 0.54/0.83 thf(zip_derived_cl16, plain, (![X0 : $i]: ((eq2 @ (s @ X0) @ z) = (bfalse))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom_016])).
% 0.54/0.83 thf(axiom_021, axiom,
% 0.54/0.83 (( ( eq2 @ X @ Z ) != ( bfalse ) ) |
% 0.54/0.83 ( ( eq @ ( cons @ X @ Y ) @ ( cons @ Z @ X2 ) ) = ( bfalse ) ))).
% 0.54/0.83 thf(zip_derived_cl21, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.83 (((eq2 @ X0 @ X1) != (bfalse))
% 0.54/0.83 | ((eq @ (cons @ X0 @ X2) @ (cons @ X1 @ X3)) = (bfalse)))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom_021])).
% 0.54/0.83 thf(zip_derived_cl29, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.83 (((bfalse) != (bfalse))
% 0.54/0.83 | ((eq @ (cons @ (s @ X0) @ X2) @ (cons @ z @ X1)) = (bfalse)))),
% 0.54/0.83 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl21])).
% 0.54/0.83 thf(zip_derived_cl32, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.83 ((eq @ (cons @ (s @ X0) @ X2) @ (cons @ z @ X1)) = (bfalse))),
% 0.54/0.83 inference('simplify', [status(thm)], [zip_derived_cl29])).
% 0.54/0.83 thf(zip_derived_cl443, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.83 ((eq @ (union @ (cons @ (s @ X1) @ X0) @ (cons @ z @ nil)) @
% 0.54/0.83 (cons @ z @ X2)) = (bfalse))),
% 0.54/0.83 inference('sup+', [status(thm)], [zip_derived_cl418, zip_derived_cl32])).
% 0.54/0.83 thf(zip_derived_cl835, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((prop_union_comm @ (cons @ z @ (cons @ (s @ X1) @ X0)) @
% 0.54/0.83 (cons @ z @ nil)) = (bfalse))),
% 0.54/0.83 inference('sup+', [status(thm)], [zip_derived_cl803, zip_derived_cl443])).
% 0.54/0.83 thf(goal, conjecture,
% 0.54/0.83 (( eq3 @ ( prop_union_comm @ X @ Y ) @ bfalse ) = ( btrue ))).
% 0.54/0.83 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.83 (( eq3 @ ( prop_union_comm @ X @ Y ) @ bfalse ) != ( btrue )),
% 0.54/0.83 inference('cnf.neg', [status(esa)], [goal])).
% 0.54/0.83 thf(zip_derived_cl25, plain,
% 0.54/0.83 (![X0 : $i, X1 : $i]:
% 0.54/0.83 ((eq3 @ (prop_union_comm @ X0 @ X1) @ bfalse) != (btrue))),
% 0.54/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.83 thf(zip_derived_cl847, plain, (((eq3 @ bfalse @ bfalse) != (btrue))),
% 0.54/0.83 inference('sup-', [status(thm)], [zip_derived_cl835, zip_derived_cl25])).
% 0.54/0.83 thf(axiom_020, axiom, (( eq3 @ X @ X ) = ( btrue ))).
% 0.54/0.83 thf(zip_derived_cl20, plain, (![X0 : $i]: ((eq3 @ X0 @ X0) = (btrue))),
% 0.54/0.83 inference('cnf', [status(esa)], [axiom_020])).
% 0.54/0.83 thf(zip_derived_cl853, plain, (((btrue) != (btrue))),
% 0.54/0.83 inference('demod', [status(thm)], [zip_derived_cl847, zip_derived_cl20])).
% 0.54/0.83 thf(zip_derived_cl854, plain, ($false),
% 0.54/0.83 inference('simplify', [status(thm)], [zip_derived_cl853])).
% 0.54/0.83
% 0.54/0.83 % SZS output end Refutation
% 0.54/0.83
% 0.54/0.83
% 0.54/0.83 % Terminating...
% 0.56/0.93 % Runner terminated.
% 0.56/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------