%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX199-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sKMlSkalKC true
% Computer : n013.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 07:08:48 PM UTC 2026
% Result : Unsatisfiable 3.14s 1.03s
% Output : Refutation 3.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX199-1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sKMlSkalKC true
% 0.17/0.34 % Computer : n013.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 11:14:26 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 % Running portfolio for 300 s
% 0.17/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.14/1.03 % Solved by fo/fo3_bce.sh.
% 3.14/1.03 % BCE start: 24
% 3.14/1.03 % BCE eliminated: 0
% 3.14/1.03 % PE start: 24
% 3.14/1.03 logic: eq
% 3.14/1.03 % PE eliminated: 0
% 3.14/1.03 % done 450 iterations in 0.269s
% 3.14/1.03 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.14/1.03 % SZS output start Refutation
% 3.14/1.03 thf(btrue_type, type, btrue: $i).
% 3.14/1.03 thf(merge_type, type, merge: $i > $i > $i).
% 3.14/1.03 thf(eq2_type, type, eq2: $i > $i > $i).
% 3.14/1.03 thf(aux_type, type, aux: $i > $i > $i > $i > $i > $i).
% 3.14/1.03 thf(nil_type, type, nil: $i).
% 3.14/1.03 thf(eq3_type, type, eq3: $i > $i > $i).
% 3.14/1.03 thf(s_type, type, s: $i > $i).
% 3.14/1.03 thf(z_type, type, z: $i).
% 3.14/1.03 thf(eq_type, type, eq: $i > $i > $i).
% 3.14/1.03 thf(prop_merge_comm_type, type, prop_merge_comm: $i > $i > $i > $i).
% 3.14/1.03 thf(leqNat_type, type, leqNat: $i > $i > $i).
% 3.14/1.03 thf(impl_type, type, impl: $i > $i > $i).
% 3.14/1.03 thf(bfalse_type, type, bfalse: $i).
% 3.14/1.03 thf(cons_type, type, cons: $i > $i > $i).
% 3.14/1.03 thf(axiom_002, axiom, (( leqNat @ z @ Y ) = ( btrue ))).
% 3.14/1.03 thf(zip_derived_cl2, plain, (![X0 : $i]: ((leqNat @ z @ X0) = (btrue))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_002])).
% 3.14/1.03 thf(axiom_007, axiom,
% 3.14/1.03 (( merge @ ( cons @ Z @ Xs ) @ ( cons @ Y2 @ Ys ) ) =
% 3.14/1.03 ( aux @ Z @ Xs @ Y2 @ Ys @ ( leqNat @ Z @ Y2 ) ))).
% 3.14/1.03 thf(zip_derived_cl7, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.14/1.03 ((merge @ (cons @ X0 @ X1) @ (cons @ X2 @ X3))
% 3.14/1.03 = (aux @ X0 @ X1 @ X2 @ X3 @ (leqNat @ X0 @ X2)))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_007])).
% 3.14/1.03 thf(zip_derived_cl37, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((merge @ (cons @ z @ X2) @ (cons @ X0 @ X1))
% 3.14/1.03 = (aux @ z @ X2 @ X0 @ X1 @ btrue))),
% 3.14/1.03 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 3.14/1.03 thf(axiom, axiom,
% 3.14/1.03 (( aux @ Z @ Xs @ Y2 @ Ys @ btrue ) =
% 3.14/1.03 ( cons @ Z @ ( merge @ Xs @ ( cons @ Y2 @ Ys ) ) ))).
% 3.14/1.03 thf(zip_derived_cl0, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.14/1.03 ((aux @ X0 @ X1 @ X2 @ X3 @ btrue)
% 3.14/1.03 = (cons @ X0 @ (merge @ X1 @ (cons @ X2 @ X3))))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom])).
% 3.14/1.03 thf(zip_derived_cl40, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((merge @ (cons @ z @ X2) @ (cons @ X0 @ X1))
% 3.14/1.03 = (cons @ z @ (merge @ X2 @ (cons @ X0 @ X1))))),
% 3.14/1.03 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 3.14/1.03 thf(axiom_005, axiom, (( merge @ nil @ Y ) = ( Y ))).
% 3.14/1.03 thf(zip_derived_cl5, plain, (![X0 : $i]: ((merge @ nil @ X0) = (X0))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_005])).
% 3.14/1.03 thf(zip_derived_cl2, plain, (![X0 : $i]: ((leqNat @ z @ X0) = (btrue))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_002])).
% 3.14/1.03 thf(axiom_004, axiom,
% 3.14/1.03 (( leqNat @ ( s @ Z ) @ ( s @ M ) ) = ( leqNat @ Z @ M ))).
% 3.14/1.03 thf(zip_derived_cl4, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i]:
% 3.14/1.03 ((leqNat @ (s @ X0) @ (s @ X1)) = (leqNat @ X0 @ X1))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_004])).
% 3.14/1.03 thf(zip_derived_cl7, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.14/1.03 ((merge @ (cons @ X0 @ X1) @ (cons @ X2 @ X3))
% 3.14/1.03 = (aux @ X0 @ X1 @ X2 @ X3 @ (leqNat @ X0 @ X2)))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_007])).
% 3.14/1.03 thf(zip_derived_cl39, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.14/1.03 ((merge @ (cons @ (s @ X1) @ X3) @ (cons @ (s @ X0) @ X2))
% 3.14/1.03 = (aux @ (s @ X1) @ X3 @ (s @ X0) @ X2 @ (leqNat @ X1 @ X0)))),
% 3.14/1.03 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl7])).
% 3.14/1.03 thf(zip_derived_cl190, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((merge @ (cons @ (s @ z) @ X2) @ (cons @ (s @ X0) @ X1))
% 3.14/1.03 = (aux @ (s @ z) @ X2 @ (s @ X0) @ X1 @ btrue))),
% 3.14/1.03 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl39])).
% 3.14/1.03 thf(zip_derived_cl0, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.14/1.03 ((aux @ X0 @ X1 @ X2 @ X3 @ btrue)
% 3.14/1.03 = (cons @ X0 @ (merge @ X1 @ (cons @ X2 @ X3))))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom])).
% 3.14/1.03 thf(zip_derived_cl193, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((merge @ (cons @ (s @ z) @ X2) @ (cons @ (s @ X0) @ X1))
% 3.14/1.03 = (cons @ (s @ z) @ (merge @ X2 @ (cons @ (s @ X0) @ X1))))),
% 3.14/1.03 inference('demod', [status(thm)], [zip_derived_cl190, zip_derived_cl0])).
% 3.14/1.03 thf(zip_derived_cl193, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((merge @ (cons @ (s @ z) @ X2) @ (cons @ (s @ X0) @ X1))
% 3.14/1.03 = (cons @ (s @ z) @ (merge @ X2 @ (cons @ (s @ X0) @ X1))))),
% 3.14/1.03 inference('demod', [status(thm)], [zip_derived_cl190, zip_derived_cl0])).
% 3.14/1.03 thf(axiom_003, axiom, (( leqNat @ ( s @ Z ) @ z ) = ( bfalse ))).
% 3.14/1.03 thf(zip_derived_cl3, plain,
% 3.14/1.03 (![X0 : $i]: ((leqNat @ (s @ X0) @ z) = (bfalse))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_003])).
% 3.14/1.03 thf(zip_derived_cl7, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.14/1.03 ((merge @ (cons @ X0 @ X1) @ (cons @ X2 @ X3))
% 3.14/1.03 = (aux @ X0 @ X1 @ X2 @ X3 @ (leqNat @ X0 @ X2)))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_007])).
% 3.14/1.03 thf(zip_derived_cl38, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((merge @ (cons @ (s @ X0) @ X2) @ (cons @ z @ X1))
% 3.14/1.03 = (aux @ (s @ X0) @ X2 @ z @ X1 @ bfalse))),
% 3.14/1.03 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 3.14/1.03 thf(axiom_001, axiom,
% 3.14/1.03 (( aux @ Z @ Xs @ Y2 @ Ys @ bfalse ) =
% 3.14/1.03 ( cons @ Y2 @ ( merge @ ( cons @ Z @ Xs ) @ Ys ) ))).
% 3.14/1.03 thf(zip_derived_cl1, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.14/1.03 ((aux @ X1 @ X2 @ X0 @ X3 @ bfalse)
% 3.14/1.03 = (cons @ X0 @ (merge @ (cons @ X1 @ X2) @ X3)))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_001])).
% 3.14/1.03 thf(zip_derived_cl41, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((merge @ (cons @ (s @ X0) @ X2) @ (cons @ z @ X1))
% 3.14/1.03 = (cons @ z @ (merge @ (cons @ (s @ X0) @ X2) @ X1)))),
% 3.14/1.03 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl1])).
% 3.14/1.03 thf(axiom_006, axiom,
% 3.14/1.03 (( merge @ ( cons @ Z @ Xs ) @ nil ) = ( cons @ Z @ Xs ))).
% 3.14/1.03 thf(zip_derived_cl6, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i]:
% 3.14/1.03 ((merge @ (cons @ X0 @ X1) @ nil) = (cons @ X0 @ X1))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_006])).
% 3.14/1.03 thf(goal, conjecture,
% 3.14/1.03 (( eq3 @ ( prop_merge_comm @ X @ Y @ Z ) @ bfalse ) = ( btrue ))).
% 3.14/1.03 thf(zf_stmt_0, negated_conjecture,
% 3.14/1.03 (( eq3 @ ( prop_merge_comm @ X @ Y @ Z ) @ bfalse ) != ( btrue )),
% 3.14/1.03 inference('cnf.neg', [status(esa)], [goal])).
% 3.14/1.03 thf(zip_derived_cl23, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((eq3 @ (prop_merge_comm @ X0 @ X1 @ X2) @ bfalse) != (btrue))),
% 3.14/1.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.14/1.03 thf(axiom_010, axiom,
% 3.14/1.03 (( prop_merge_comm @ X @ Y @ Z ) =
% 3.14/1.03 ( impl @
% 3.14/1.03 ( eq @ ( merge @ X @ Y ) @ ( merge @ Y @ X ) ) @
% 3.14/1.03 ( impl @
% 3.14/1.03 ( eq @ ( merge @ X @ Z ) @ ( merge @ Z @ X ) ) @
% 3.14/1.03 ( eq @ ( merge @ Y @ Z ) @ ( merge @ Z @ Y ) ) ) ))).
% 3.14/1.03 thf(zip_derived_cl10, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((prop_merge_comm @ X0 @ X1 @ X2)
% 3.14/1.03 = (impl @ (eq @ (merge @ X0 @ X1) @ (merge @ X1 @ X0)) @
% 3.14/1.03 (impl @ (eq @ (merge @ X0 @ X2) @ (merge @ X2 @ X0)) @
% 3.14/1.03 (eq @ (merge @ X1 @ X2) @ (merge @ X2 @ X1)))))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_010])).
% 3.14/1.03 thf(zip_derived_cl42, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((eq3 @
% 3.14/1.03 (impl @ (eq @ (merge @ X0 @ X1) @ (merge @ X1 @ X0)) @
% 3.14/1.03 (impl @ (eq @ (merge @ X0 @ X2) @ (merge @ X2 @ X0)) @
% 3.14/1.03 (eq @ (merge @ X1 @ X2) @ (merge @ X2 @ X1)))) @
% 3.14/1.03 bfalse) != (btrue))),
% 3.14/1.03 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl10])).
% 3.14/1.03 thf(zip_derived_cl51, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((eq3 @
% 3.14/1.03 (impl @ (eq @ (merge @ nil @ X2) @ (merge @ X2 @ nil)) @
% 3.14/1.03 (impl @
% 3.14/1.03 (eq @ (merge @ nil @ (cons @ X1 @ X0)) @ (cons @ X1 @ X0)) @
% 3.14/1.03 (eq @ (merge @ X2 @ (cons @ X1 @ X0)) @
% 3.14/1.03 (merge @ (cons @ X1 @ X0) @ X2)))) @
% 3.14/1.03 bfalse) != (btrue))),
% 3.14/1.03 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl42])).
% 3.14/1.03 thf(zip_derived_cl5, plain, (![X0 : $i]: ((merge @ nil @ X0) = (X0))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_005])).
% 3.14/1.03 thf(zip_derived_cl5, plain, (![X0 : $i]: ((merge @ nil @ X0) = (X0))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_005])).
% 3.14/1.03 thf(axiom_017, axiom, (( eq2 @ X @ X ) = ( btrue ))).
% 3.14/1.03 thf(zip_derived_cl17, plain, (![X0 : $i]: ((eq2 @ X0 @ X0) = (btrue))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_017])).
% 3.14/1.03 thf(axiom_020, axiom,
% 3.14/1.03 (( ( eq2 @ X @ Z ) != ( btrue ) ) |
% 3.14/1.03 ( ( eq @ ( cons @ X @ Y ) @ ( cons @ Z @ X2 ) ) = ( eq @ Y @ X2 ) ))).
% 3.14/1.03 thf(zip_derived_cl20, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.14/1.03 (((eq2 @ X0 @ X1) != (btrue))
% 3.14/1.03 | ((eq @ (cons @ X0 @ X2) @ (cons @ X1 @ X3)) = (eq @ X2 @ X3)))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_020])).
% 3.14/1.03 thf(zip_derived_cl32, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 (((btrue) != (btrue))
% 3.14/1.03 | ((eq @ (cons @ X0 @ X2) @ (cons @ X0 @ X1)) = (eq @ X2 @ X1)))),
% 3.14/1.03 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl20])).
% 3.14/1.03 thf(zip_derived_cl36, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((eq @ (cons @ X0 @ X2) @ (cons @ X0 @ X1)) = (eq @ X2 @ X1))),
% 3.14/1.03 inference('simplify', [status(thm)], [zip_derived_cl32])).
% 3.14/1.03 thf(axiom_016, axiom, (( eq @ X @ X ) = ( btrue ))).
% 3.14/1.03 thf(zip_derived_cl16, plain, (![X0 : $i]: ((eq @ X0 @ X0) = (btrue))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_016])).
% 3.14/1.03 thf(axiom_008, axiom, (( impl @ btrue @ Q ) = ( Q ))).
% 3.14/1.03 thf(zip_derived_cl8, plain, (![X0 : $i]: ((impl @ btrue @ X0) = (X0))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_008])).
% 3.14/1.03 thf(zip_derived_cl65, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((eq3 @
% 3.14/1.03 (impl @ (eq @ X2 @ (merge @ X2 @ nil)) @
% 3.14/1.03 (eq @ (merge @ X2 @ (cons @ X1 @ X0)) @
% 3.14/1.03 (merge @ (cons @ X1 @ X0) @ X2))) @
% 3.14/1.03 bfalse) != (btrue))),
% 3.14/1.03 inference('demod', [status(thm)],
% 3.14/1.03 [zip_derived_cl51, zip_derived_cl5, zip_derived_cl5,
% 3.14/1.03 zip_derived_cl36, zip_derived_cl16, zip_derived_cl8])).
% 3.14/1.03 thf(zip_derived_cl300, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((eq3 @
% 3.14/1.03 (impl @ (eq @ (cons @ z @ X0) @ (merge @ (cons @ z @ X0) @ nil)) @
% 3.14/1.03 (eq @ (merge @ (cons @ z @ X0) @ (cons @ (s @ X2) @ X1)) @
% 3.14/1.03 (cons @ z @ (merge @ (cons @ (s @ X2) @ X1) @ X0)))) @
% 3.14/1.03 bfalse) != (btrue))),
% 3.14/1.03 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl65])).
% 3.14/1.03 thf(zip_derived_cl6, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i]:
% 3.14/1.03 ((merge @ (cons @ X0 @ X1) @ nil) = (cons @ X0 @ X1))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_006])).
% 3.14/1.03 thf(zip_derived_cl36, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((eq @ (cons @ X0 @ X2) @ (cons @ X0 @ X1)) = (eq @ X2 @ X1))),
% 3.14/1.03 inference('simplify', [status(thm)], [zip_derived_cl32])).
% 3.14/1.03 thf(zip_derived_cl16, plain, (![X0 : $i]: ((eq @ X0 @ X0) = (btrue))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_016])).
% 3.14/1.03 thf(zip_derived_cl40, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((merge @ (cons @ z @ X2) @ (cons @ X0 @ X1))
% 3.14/1.03 = (cons @ z @ (merge @ X2 @ (cons @ X0 @ X1))))),
% 3.14/1.03 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 3.14/1.03 thf(zip_derived_cl36, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((eq @ (cons @ X0 @ X2) @ (cons @ X0 @ X1)) = (eq @ X2 @ X1))),
% 3.14/1.03 inference('simplify', [status(thm)], [zip_derived_cl32])).
% 3.14/1.03 thf(zip_derived_cl8, plain, (![X0 : $i]: ((impl @ btrue @ X0) = (X0))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_008])).
% 3.14/1.03 thf(zip_derived_cl309, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((eq3 @
% 3.14/1.03 (eq @ (merge @ X0 @ (cons @ (s @ X2) @ X1)) @
% 3.14/1.03 (merge @ (cons @ (s @ X2) @ X1) @ X0)) @
% 3.14/1.03 bfalse) != (btrue))),
% 3.14/1.03 inference('demod', [status(thm)],
% 3.14/1.03 [zip_derived_cl300, zip_derived_cl6, zip_derived_cl36,
% 3.14/1.03 zip_derived_cl16, zip_derived_cl40, zip_derived_cl36,
% 3.14/1.03 zip_derived_cl8])).
% 3.14/1.03 thf(zip_derived_cl635, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((eq3 @
% 3.14/1.03 (eq @ (cons @ (s @ z) @ (merge @ X2 @ (cons @ (s @ X1) @ X0))) @
% 3.14/1.03 (merge @ (cons @ (s @ X1) @ X0) @ (cons @ (s @ z) @ X2))) @
% 3.14/1.03 bfalse) != (btrue))),
% 3.14/1.03 inference('sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl309])).
% 3.14/1.03 thf(zip_derived_cl1627, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i]:
% 3.14/1.03 ((eq3 @
% 3.14/1.03 (eq @ (cons @ (s @ z) @ (merge @ X0 @ (cons @ (s @ z) @ X1))) @
% 3.14/1.03 (cons @ (s @ z) @ (merge @ X1 @ (cons @ (s @ z) @ X0)))) @
% 3.14/1.03 bfalse) != (btrue))),
% 3.14/1.03 inference('sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl635])).
% 3.14/1.03 thf(zip_derived_cl36, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((eq @ (cons @ X0 @ X2) @ (cons @ X0 @ X1)) = (eq @ X2 @ X1))),
% 3.14/1.03 inference('simplify', [status(thm)], [zip_derived_cl32])).
% 3.14/1.03 thf(zip_derived_cl1634, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i]:
% 3.14/1.03 ((eq3 @
% 3.14/1.03 (eq @ (merge @ X0 @ (cons @ (s @ z) @ X1)) @
% 3.14/1.03 (merge @ X1 @ (cons @ (s @ z) @ X0))) @
% 3.14/1.03 bfalse) != (btrue))),
% 3.14/1.03 inference('demod', [status(thm)], [zip_derived_cl1627, zip_derived_cl36])).
% 3.14/1.03 thf(zip_derived_cl1642, plain,
% 3.14/1.03 (![X0 : $i]:
% 3.14/1.03 ((eq3 @
% 3.14/1.03 (eq @ (merge @ X0 @ (cons @ (s @ z) @ nil)) @ (cons @ (s @ z) @ X0)) @
% 3.14/1.03 bfalse) != (btrue))),
% 3.14/1.03 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl1634])).
% 3.14/1.03 thf(zip_derived_cl1648, plain,
% 3.14/1.03 (![X0 : $i]:
% 3.14/1.03 ((eq3 @
% 3.14/1.03 (eq @ (cons @ z @ (merge @ X0 @ (cons @ (s @ z) @ nil))) @
% 3.14/1.03 (cons @ (s @ z) @ (cons @ z @ X0))) @
% 3.14/1.03 bfalse) != (btrue))),
% 3.14/1.03 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl1642])).
% 3.14/1.03 thf(axiom_014, axiom, (( eq2 @ z @ ( s @ X ) ) = ( bfalse ))).
% 3.14/1.03 thf(zip_derived_cl14, plain, (![X0 : $i]: ((eq2 @ z @ (s @ X0)) = (bfalse))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_014])).
% 3.14/1.03 thf(axiom_019, axiom,
% 3.14/1.03 (( ( eq2 @ X @ Z ) != ( bfalse ) ) |
% 3.14/1.03 ( ( eq @ ( cons @ X @ Y ) @ ( cons @ Z @ X2 ) ) = ( bfalse ) ))).
% 3.14/1.03 thf(zip_derived_cl19, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.14/1.03 (((eq2 @ X0 @ X1) != (bfalse))
% 3.14/1.03 | ((eq @ (cons @ X0 @ X2) @ (cons @ X1 @ X3)) = (bfalse)))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_019])).
% 3.14/1.03 thf(zip_derived_cl26, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 (((bfalse) != (bfalse))
% 3.14/1.03 | ((eq @ (cons @ z @ X2) @ (cons @ (s @ X0) @ X1)) = (bfalse)))),
% 3.14/1.03 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl19])).
% 3.14/1.03 thf(zip_derived_cl30, plain,
% 3.14/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.14/1.03 ((eq @ (cons @ z @ X2) @ (cons @ (s @ X0) @ X1)) = (bfalse))),
% 3.14/1.03 inference('simplify', [status(thm)], [zip_derived_cl26])).
% 3.14/1.03 thf(axiom_018, axiom, (( eq3 @ X @ X ) = ( btrue ))).
% 3.14/1.03 thf(zip_derived_cl18, plain, (![X0 : $i]: ((eq3 @ X0 @ X0) = (btrue))),
% 3.14/1.03 inference('cnf', [status(esa)], [axiom_018])).
% 3.14/1.03 thf(zip_derived_cl1652, plain, (((btrue) != (btrue))),
% 3.14/1.03 inference('demod', [status(thm)],
% 3.14/1.03 [zip_derived_cl1648, zip_derived_cl30, zip_derived_cl18])).
% 3.14/1.03 thf(zip_derived_cl1653, plain, ($false),
% 3.14/1.03 inference('simplify', [status(thm)], [zip_derived_cl1652])).
% 3.14/1.03
% 3.14/1.03 % SZS output end Refutation
% 3.14/1.03
% 3.14/1.03
% 3.14/1.03 % Terminating...
% 3.14/1.09 % Runner terminated.
% 3.14/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------