%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX063+1 : TPTP v9.2.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q9q5CkGEY0 true
% Computer : n020.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 05:03:37 PM UTC 2025
% Result : Theorem 0.54s 0.88s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWX063+1 : TPTP v9.2.0. Released v9.1.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q9q5CkGEY0 true
% 0.14/0.33 % Computer : n020.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Oct 1 10:41:38 EDT 2025
% 0.14/0.33 % CPUTime :
% 0.14/0.33 % Running portfolio for 300 s
% 0.14/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.34 % Running in FO mode
% 0.43/0.61 % Total configuration time : 435
% 0.43/0.61 % Estimated wc time : 1092
% 0.43/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.88 % Solved by fo/fo4.sh.
% 0.54/0.88 % done 80 iterations in 0.116s
% 0.54/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.88 % SZS output start Refutation
% 0.54/0.88 thf(rev_type, type, rev: $i > $i).
% 0.54/0.88 thf(nil_type, type, nil: $i).
% 0.54/0.88 thf(**_type, type, **: $i > $i > $i).
% 0.54/0.88 thf(cons_type, type, cons: $i > $i > $i).
% 0.54/0.88 thf(sk__type, type, sk_: $i).
% 0.54/0.88 thf(sk__3_type, type, sk__3: $i).
% 0.54/0.88 thf(sk__2_type, type, sk__2: $i).
% 0.54/0.88 thf(list_succeeds_type, type, list_succeeds: $i > $o).
% 0.54/0.88 thf(sk__1_type, type, sk__1: $i).
% 0.54/0.88 thf(induction, axiom,
% 0.54/0.88 (( ![Xl:$i]:
% 0.54/0.88 ( ( ( ?[Xx2:$i,Xx3:$i]:
% 0.54/0.88 ( ( ( rev @ ( rev @ Xx3 ) ) = ( Xx3 ) ) &
% 0.54/0.88 ( list_succeeds @ Xx3 ) & ( ( Xl ) = ( cons @ Xx2 @ Xx3 ) ) ) ) |
% 0.54/0.88 ( ( Xl ) = ( nil ) ) ) =>
% 0.54/0.88 ( ( rev @ ( rev @ Xl ) ) = ( Xl ) ) ) ) =>
% 0.54/0.88 ( ![Xl:$i]:
% 0.54/0.88 ( ( list_succeeds @ Xl ) => ( ( rev @ ( rev @ Xl ) ) = ( Xl ) ) ) ))).
% 0.54/0.88 thf(zip_derived_cl13, plain,
% 0.54/0.88 (![X0 : $i]:
% 0.54/0.88 (~ (list_succeeds @ X0)
% 0.54/0.88 | ((rev @ (rev @ X0)) = (X0))
% 0.54/0.88 | ((rev @ (rev @ sk_)) != (sk_)))),
% 0.54/0.89 inference('cnf', [status(esa)], [induction])).
% 0.54/0.89 thf('theorem-(rev:involution)', conjecture,
% 0.54/0.89 (![Xl:$i]:
% 0.54/0.89 ( ( list_succeeds @ Xl ) => ( ( rev @ ( rev @ Xl ) ) = ( Xl ) ) ))).
% 0.54/0.89 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.89 (~( ![Xl:$i]:
% 0.54/0.89 ( ( list_succeeds @ Xl ) => ( ( rev @ ( rev @ Xl ) ) = ( Xl ) ) ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [theorem-(rev:involution)])).
% 0.54/0.89 thf(zip_derived_cl14, plain, ( (list_succeeds @ sk__3)),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.89 thf(zip_derived_cl14, plain, ( (list_succeeds @ sk__3)),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.89 thf(zip_derived_cl11, plain,
% 0.54/0.89 (![X0 : $i]:
% 0.54/0.89 (~ (list_succeeds @ X0)
% 0.54/0.89 | ((rev @ (rev @ X0)) = (X0))
% 0.54/0.89 | (list_succeeds @ sk__2)
% 0.54/0.89 | ((sk_) = (nil)))),
% 0.54/0.89 inference('cnf', [status(esa)], [induction])).
% 0.54/0.89 thf(zip_derived_cl22, plain,
% 0.54/0.89 ((((sk_) = (nil))
% 0.54/0.89 | (list_succeeds @ sk__2)
% 0.54/0.89 | ((rev @ (rev @ sk__3)) = (sk__3)))),
% 0.54/0.89 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl11])).
% 0.54/0.89 thf(zip_derived_cl15, plain, (((rev @ (rev @ sk__3)) != (sk__3))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.89 thf(zip_derived_cl23, plain, ((((sk_) = (nil)) | (list_succeeds @ sk__2))),
% 0.54/0.89 inference('simplify_reflect-', [status(thm)],
% 0.54/0.89 [zip_derived_cl22, zip_derived_cl15])).
% 0.54/0.89 thf(zip_derived_cl10, plain,
% 0.54/0.89 (![X0 : $i]:
% 0.54/0.89 (~ (list_succeeds @ X0)
% 0.54/0.89 | ((rev @ (rev @ X0)) = (X0))
% 0.54/0.89 | ((rev @ (rev @ sk__2)) = (sk__2))
% 0.54/0.89 | ((sk_) = (nil)))),
% 0.54/0.89 inference('cnf', [status(esa)], [induction])).
% 0.54/0.89 thf(zip_derived_cl42, plain,
% 0.54/0.89 ((((sk_) = (nil))
% 0.54/0.89 | ((sk_) = (nil))
% 0.54/0.89 | ((rev @ (rev @ sk__2)) = (sk__2))
% 0.54/0.89 | ((rev @ (rev @ sk__2)) = (sk__2)))),
% 0.54/0.89 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl10])).
% 0.54/0.89 thf(zip_derived_cl44, plain,
% 0.54/0.89 ((((rev @ (rev @ sk__2)) = (sk__2)) | ((sk_) = (nil)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl42])).
% 0.54/0.89 thf(zip_derived_cl14, plain, ( (list_succeeds @ sk__3)),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.89 thf(zip_derived_cl12, plain,
% 0.54/0.89 (![X0 : $i]:
% 0.54/0.89 (~ (list_succeeds @ X0)
% 0.54/0.89 | ((rev @ (rev @ X0)) = (X0))
% 0.54/0.89 | ((sk_) = (cons @ sk__1 @ sk__2))
% 0.54/0.89 | ((sk_) = (nil)))),
% 0.54/0.89 inference('cnf', [status(esa)], [induction])).
% 0.54/0.89 thf(zip_derived_cl52, plain,
% 0.54/0.89 ((((sk_) = (nil))
% 0.54/0.89 | ((sk_) = (cons @ sk__1 @ sk__2))
% 0.54/0.89 | ((rev @ (rev @ sk__3)) = (sk__3)))),
% 0.54/0.89 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl12])).
% 0.54/0.89 thf(zip_derived_cl15, plain, (((rev @ (rev @ sk__3)) != (sk__3))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.89 thf(zip_derived_cl54, plain,
% 0.54/0.89 ((((sk_) = (nil)) | ((sk_) = (cons @ sk__1 @ sk__2)))),
% 0.54/0.89 inference('simplify_reflect-', [status(thm)],
% 0.54/0.89 [zip_derived_cl52, zip_derived_cl15])).
% 0.54/0.89 thf('corollary-(rev:cons)', axiom,
% 0.54/0.89 (![Xx:$i,Xl:$i]:
% 0.54/0.89 ( ( list_succeeds @ Xl ) =>
% 0.54/0.89 ( ( rev @ ( cons @ Xx @ Xl ) ) =
% 0.54/0.89 ( ** @ ( rev @ Xl ) @ ( cons @ Xx @ nil ) ) ) ))).
% 0.54/0.89 thf(zip_derived_cl4, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 (((rev @ (cons @ X1 @ X0)) = (** @ (rev @ X0) @ (cons @ X1 @ nil)))
% 0.54/0.89 | ~ (list_succeeds @ X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [corollary-(rev:cons)])).
% 0.54/0.89 thf('lemma-(rev:app)', axiom,
% 0.54/0.89 (![Xl:$i,Xy:$i]:
% 0.54/0.89 ( ( list_succeeds @ Xl ) =>
% 0.54/0.89 ( ( rev @ ( ** @ Xl @ ( cons @ Xy @ nil ) ) ) =
% 0.54/0.89 ( cons @ Xy @ ( rev @ Xl ) ) ) ))).
% 0.54/0.89 thf(zip_derived_cl9, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 (~ (list_succeeds @ X0)
% 0.54/0.89 | ((rev @ (** @ X0 @ (cons @ X1 @ nil))) = (cons @ X1 @ (rev @ X0))))),
% 0.54/0.89 inference('cnf', [status(esa)], [lemma-(rev:app)])).
% 0.54/0.89 thf(zip_derived_cl175, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 (((rev @ (rev @ (cons @ X1 @ X0))) = (cons @ X1 @ (rev @ (rev @ X0))))
% 0.54/0.89 | ~ (list_succeeds @ X0)
% 0.54/0.89 | ~ (list_succeeds @ (rev @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl9])).
% 0.54/0.89 thf('corollary-(rev:types)', axiom,
% 0.54/0.89 (![Xl:$i]: ( ( list_succeeds @ Xl ) => ( list_succeeds @ ( rev @ Xl ) ) ))).
% 0.54/0.89 thf(zip_derived_cl3, plain,
% 0.54/0.89 (![X0 : $i]: ( (list_succeeds @ (rev @ X0)) | ~ (list_succeeds @ X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [corollary-(rev:types)])).
% 0.54/0.89 thf(zip_derived_cl179, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 (~ (list_succeeds @ X0)
% 0.54/0.89 | ((rev @ (rev @ (cons @ X1 @ X0)))
% 0.54/0.89 = (cons @ X1 @ (rev @ (rev @ X0)))))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl175, zip_derived_cl3])).
% 0.54/0.89 thf(zip_derived_cl195, plain,
% 0.54/0.89 ((((rev @ (rev @ sk_)) = (cons @ sk__1 @ (rev @ (rev @ sk__2))))
% 0.54/0.89 | ((sk_) = (nil))
% 0.54/0.89 | ~ (list_succeeds @ sk__2))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl179])).
% 0.54/0.89 thf(zip_derived_cl23, plain, ((((sk_) = (nil)) | (list_succeeds @ sk__2))),
% 0.54/0.89 inference('simplify_reflect-', [status(thm)],
% 0.54/0.89 [zip_derived_cl22, zip_derived_cl15])).
% 0.54/0.89 thf(zip_derived_cl199, plain,
% 0.54/0.89 ((((sk_) = (nil))
% 0.54/0.89 | ((rev @ (rev @ sk_)) = (cons @ sk__1 @ (rev @ (rev @ sk__2)))))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl195, zip_derived_cl23])).
% 0.54/0.89 thf(zip_derived_cl203, plain,
% 0.54/0.89 ((((rev @ (rev @ sk_)) = (cons @ sk__1 @ sk__2))
% 0.54/0.89 | ((sk_) = (nil))
% 0.54/0.89 | ((sk_) = (nil)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl199])).
% 0.54/0.89 thf(zip_derived_cl204, plain,
% 0.54/0.89 ((((sk_) = (nil)) | ((rev @ (rev @ sk_)) = (cons @ sk__1 @ sk__2)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl203])).
% 0.54/0.89 thf(zip_derived_cl13, plain,
% 0.54/0.89 (![X0 : $i]:
% 0.54/0.89 (~ (list_succeeds @ X0)
% 0.54/0.89 | ((rev @ (rev @ X0)) = (X0))
% 0.54/0.89 | ((rev @ (rev @ sk_)) != (sk_)))),
% 0.54/0.89 inference('cnf', [status(esa)], [induction])).
% 0.54/0.89 thf(zip_derived_cl213, plain,
% 0.54/0.89 (![X0 : $i]:
% 0.54/0.89 (((cons @ sk__1 @ sk__2) != (sk_))
% 0.54/0.89 | ((sk_) = (nil))
% 0.54/0.89 | ((rev @ (rev @ X0)) = (X0))
% 0.54/0.89 | ~ (list_succeeds @ X0))),
% 0.54/0.89 inference('sup-', [status(thm)], [zip_derived_cl204, zip_derived_cl13])).
% 0.54/0.89 thf(zip_derived_cl54, plain,
% 0.54/0.89 ((((sk_) = (nil)) | ((sk_) = (cons @ sk__1 @ sk__2)))),
% 0.54/0.89 inference('simplify_reflect-', [status(thm)],
% 0.54/0.89 [zip_derived_cl52, zip_derived_cl15])).
% 0.54/0.89 thf(zip_derived_cl294, plain,
% 0.54/0.89 (![X0 : $i]:
% 0.54/0.89 (~ (list_succeeds @ X0)
% 0.54/0.89 | ((rev @ (rev @ X0)) = (X0))
% 0.54/0.89 | ((sk_) = (nil)))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl213, zip_derived_cl54])).
% 0.54/0.89 thf(zip_derived_cl300, plain,
% 0.54/0.89 ((((sk_) = (nil)) | ((rev @ (rev @ sk__3)) = (sk__3)))),
% 0.54/0.89 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl294])).
% 0.54/0.89 thf(zip_derived_cl15, plain, (((rev @ (rev @ sk__3)) != (sk__3))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.89 thf(zip_derived_cl303, plain, (((sk_) = (nil))),
% 0.54/0.89 inference('simplify_reflect-', [status(thm)],
% 0.54/0.89 [zip_derived_cl300, zip_derived_cl15])).
% 0.54/0.89 thf('corollary-(rev:nil)', axiom, (( rev @ nil ) = ( nil ))).
% 0.54/0.89 thf(zip_derived_cl2, plain, (((rev @ nil) = (nil))),
% 0.54/0.89 inference('cnf', [status(esa)], [corollary-(rev:nil)])).
% 0.54/0.89 thf(zip_derived_cl2, plain, (((rev @ nil) = (nil))),
% 0.54/0.89 inference('cnf', [status(esa)], [corollary-(rev:nil)])).
% 0.54/0.89 thf(zip_derived_cl303, plain, (((sk_) = (nil))),
% 0.54/0.89 inference('simplify_reflect-', [status(thm)],
% 0.54/0.89 [zip_derived_cl300, zip_derived_cl15])).
% 0.54/0.89 thf(zip_derived_cl304, plain,
% 0.54/0.89 (![X0 : $i]:
% 0.54/0.89 (~ (list_succeeds @ X0)
% 0.54/0.89 | ((rev @ (rev @ X0)) = (X0))
% 0.54/0.89 | ((nil) != (nil)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl13, zip_derived_cl303, zip_derived_cl2,
% 0.54/0.89 zip_derived_cl2, zip_derived_cl303])).
% 0.54/0.89 thf(zip_derived_cl305, plain,
% 0.54/0.89 (![X0 : $i]: (((rev @ (rev @ X0)) = (X0)) | ~ (list_succeeds @ X0))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl304])).
% 0.54/0.89 thf(zip_derived_cl15, plain, (((rev @ (rev @ sk__3)) != (sk__3))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.89 thf(zip_derived_cl341, plain,
% 0.54/0.89 ((((sk__3) != (sk__3)) | ~ (list_succeeds @ sk__3))),
% 0.54/0.89 inference('sup-', [status(thm)], [zip_derived_cl305, zip_derived_cl15])).
% 0.54/0.89 thf(zip_derived_cl14, plain, ( (list_succeeds @ sk__3)),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.89 thf(zip_derived_cl354, plain, (((sk__3) != (sk__3))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl341, zip_derived_cl14])).
% 0.54/0.89 thf(zip_derived_cl355, plain, ($false),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl354])).
% 0.54/0.89
% 0.54/0.89 % SZS output end Refutation
% 0.54/0.89
% 0.54/0.89
% 0.54/0.89 % Terminating...
% 1.48/0.94 % Runner terminated.
% 1.48/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------