%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV181^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xPpLCHhbIk 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 04:57:20 PM UTC 2025
% Result : Theorem 0.55s 0.87s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEV181^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xPpLCHhbIk true
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 15:37:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.53/0.67 % Total configuration time : 828
% 0.53/0.67 % Estimated wc time : 1656
% 0.53/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.87 % Solved by lams/35_full_unif4.sh.
% 0.55/0.87 % done 18 iterations in 0.081s
% 0.55/0.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.87 % SZS output start Refutation
% 0.55/0.87 thf(cD_FOR_X5309_type, type, cD_FOR_X5309: (($i > $o) > $i) > $i > $o).
% 0.55/0.87 thf('#sk2_type', type, '#sk2': $i > $o).
% 0.55/0.87 thf('#sk1_type', type, '#sk1': ($i > $o) > $i).
% 0.55/0.87 thf(cD_FOR_X5309_def, axiom,(( cD_FOR_X5309 ) =
% 0.55/0.87 (^[Xh:( ( $i > $o ) > $i ),Xz:$i]:
% 0.55/0.87 ( ?[Xt:( $i > $o )]:
% 0.55/0.87 ( ( ( Xz ) = ( Xh @ Xt ) ) & ( ~( Xt @ ( Xh @ Xt ) ) ) ) )))).
% 0.55/0.87 thf('0', plain,
% 0.55/0.87 (( cD_FOR_X5309 ) =
% 0.55/0.87 ( ^[Xh:( ( $i > $o ) > $i ),Xz:$i]:
% 0.55/0.87 ( ?[Xt:( $i > $o )]:
% 0.55/0.87 ( ( ( Xz ) = ( Xh @ Xt ) ) & ( ~( Xt @ ( Xh @ Xt ) ) ) ) ) )),
% 0.55/0.87 inference('simplify_rw_rule', [status(thm)], [cD_FOR_X5309_def])).
% 0.55/0.87 thf('1', plain,
% 0.55/0.87 (( cD_FOR_X5309 ) =
% 0.55/0.87 ( ^[V_1:( ( $i > $o ) > $i ),V_2:$i]:
% 0.55/0.87 ( ?[X4:( $i > $o )]:
% 0.55/0.87 ( ( ( V_2 ) = ( V_1 @ X4 ) ) & ( ~( X4 @ ( V_1 @ X4 ) ) ) ) ) )),
% 0.55/0.87 define([status(thm)])).
% 0.55/0.87 thf(cTHM143C_pme, conjecture,
% 0.55/0.87 (![Xh:( ( $i > $o ) > $i )]:
% 0.55/0.87 ( ( ![Xp:( $i > $o ),Xq:( $i > $o )]:
% 0.55/0.87 ( ( ( Xh @ Xp ) = ( Xh @ Xq ) ) => ( ( Xp ) = ( Xq ) ) ) ) =>
% 0.55/0.87 ( ~( cD_FOR_X5309 @ Xh @ ( Xh @ ( cD_FOR_X5309 @ Xh ) ) ) ) ))).
% 0.55/0.87 thf(zf_stmt_0, conjecture,
% 0.55/0.87 (![X4:( ( $i > $o ) > $i )]:
% 0.55/0.87 ( ( ![X6:( $i > $o ),X8:( $i > $o )]:
% 0.55/0.87 ( ( ( X4 @ X6 ) = ( X4 @ X8 ) ) => ( ( X6 ) = ( X8 ) ) ) ) =>
% 0.55/0.87 ( ~( ?[X10:( $i > $o )]:
% 0.55/0.87 ( ( ~( X10 @ ( X4 @ X10 ) ) ) &
% 0.55/0.87 ( ( X4 @
% 0.55/0.87 ( ^[V_1:$i]:
% 0.55/0.87 ( ?[X12:( $i > $o )]:
% 0.55/0.87 ( ( ~( X12 @ ( X4 @ X12 ) ) ) &
% 0.55/0.87 ( ( V_1 ) = ( X4 @ X12 ) ) ) ) ) ) =
% 0.55/0.87 ( X4 @ X10 ) ) ) ) ) ))).
% 0.55/0.87 thf(zf_stmt_1, negated_conjecture,
% 0.55/0.87 (~( ![X4:( ( $i > $o ) > $i )]:
% 0.55/0.87 ( ( ![X6:( $i > $o ),X8:( $i > $o )]:
% 0.55/0.87 ( ( ( X4 @ X6 ) = ( X4 @ X8 ) ) => ( ( X6 ) = ( X8 ) ) ) ) =>
% 0.55/0.87 ( ~( ?[X10:( $i > $o )]:
% 0.55/0.87 ( ( ~( X10 @ ( X4 @ X10 ) ) ) &
% 0.55/0.87 ( ( X4 @
% 0.55/0.87 ( ^[V_1:$i]:
% 0.55/0.87 ( ?[X12:( $i > $o )]:
% 0.55/0.87 ( ( ~( X12 @ ( X4 @ X12 ) ) ) &
% 0.55/0.87 ( ( V_1 ) = ( X4 @ X12 ) ) ) ) ) ) =
% 0.55/0.87 ( X4 @ X10 ) ) ) ) ) ) )),
% 0.55/0.87 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 0.55/0.87 thf(zip_derived_cl0, plain,
% 0.55/0.87 (~ (((!!) @ (^[Y0 : ($i > $o) > $i]:
% 0.55/0.87 (((((!!) @ (^[Y1 : $i > $o]:
% 0.55/0.87 (((!!) @ (^[Y2 : $i > $o]:
% 0.55/0.87 (((((Y0 @ Y1) = (Y0 @ Y2))) =>
% 0.55/0.87 (((Y1) = (Y2))))))))))) =>
% 0.55/0.87 (((~) @ (((??) @ (^[Y1 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y1 @ (Y0 @ Y1)))) &
% 0.55/0.87 (((Y0 @
% 0.55/0.87 (^[Y2 : $i]:
% 0.55/0.87 (((??) @ (^[Y3 : $i > $o]:
% 0.55/0.87 (((((~) @ (
% 0.55/0.87 Y3 @
% 0.55/0.87 (Y0 @ Y3)))) &
% 0.55/0.87 (((Y2) = (Y0 @
% 0.55/0.87 Y3)))))))))) =
% 0.55/0.87 (Y0 @ Y1)))))))))))))))),
% 0.55/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.87 thf(zip_derived_cl1, plain,
% 0.55/0.87 (~ (((((!!) @ (^[Y0 : $i > $o]:
% 0.55/0.87 (((!!) @ (^[Y1 : $i > $o]:
% 0.55/0.87 ((((('#sk1' @ Y0) = ('#sk1' @ Y1))) =>
% 0.55/0.87 (((Y0) = (Y1))))))))))) =>
% 0.55/0.87 (((~) @ (((??) @ (^[Y0 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) &
% 0.55/0.87 ((('#sk1' @
% 0.55/0.87 (^[Y1 : $i]:
% 0.55/0.87 (((??) @ (^[Y2 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y2 @ ('#sk1' @ Y2)))) &
% 0.55/0.87 (((Y1) = ('#sk1' @ Y2)))))))))) =
% 0.55/0.87 ('#sk1' @ Y0))))))))))))),
% 0.55/0.87 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 0.55/0.87 thf(zip_derived_cl3, plain,
% 0.55/0.87 ( (((??) @ (^[Y0 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) &
% 0.55/0.87 ((('#sk1' @
% 0.55/0.87 (^[Y1 : $i]:
% 0.55/0.87 (((??) @ (^[Y2 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y2 @ ('#sk1' @ Y2)))) &
% 0.55/0.87 (((Y1) = ('#sk1' @ Y2)))))))))) =
% 0.55/0.87 ('#sk1' @ Y0))))))))),
% 0.55/0.87 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 0.55/0.87 thf(zip_derived_cl6, plain,
% 0.55/0.87 ( (((((~) @ ('#sk2' @ ('#sk1' @ '#sk2')))) &
% 0.55/0.87 ((('#sk1' @
% 0.55/0.87 (^[Y0 : $i]:
% 0.55/0.87 (((??) @ (^[Y1 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 0.55/0.87 (((Y0) = ('#sk1' @ Y1)))))))))) =
% 0.55/0.87 ('#sk1' @ '#sk2')))))),
% 0.55/0.87 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])).
% 0.55/0.87 thf(zip_derived_cl9, plain, (~ ('#sk2' @ ('#sk1' @ '#sk2'))),
% 0.55/0.87 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])).
% 0.55/0.87 thf(zip_derived_cl2, plain,
% 0.55/0.87 ( (((!!) @ (^[Y0 : $i > $o]:
% 0.55/0.87 (((!!) @ (^[Y1 : $i > $o]:
% 0.55/0.87 ((((('#sk1' @ Y0) = ('#sk1' @ Y1))) =>
% 0.55/0.87 (((Y0) = (Y1)))))))))))),
% 0.55/0.87 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 0.55/0.87 thf(zip_derived_cl4, plain,
% 0.55/0.87 (![X2 : $i > $o]:
% 0.55/0.87 (((!!) @ (^[Y0 : $i > $o]:
% 0.55/0.87 ((((('#sk1' @ X2) = ('#sk1' @ Y0))) => (((X2) = (Y0))))))))),
% 0.55/0.87 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])).
% 0.55/0.87 thf(zip_derived_cl5, plain,
% 0.55/0.87 ( (((!!) @ (^[Y0 : $i > $o]:
% 0.55/0.87 ((((('#sk1' @ '#sk2') = ('#sk1' @ Y0))) =>
% 0.55/0.87 ((('#sk2') = (Y0))))))))),
% 0.55/0.87 inference('triggered_bool_instantiation', [status(thm)],
% 0.55/0.87 [zip_derived_cl4])).
% 0.55/0.87 thf(zip_derived_cl24, plain,
% 0.55/0.87 (![X2 : $i > $o]:
% 0.55/0.87 ((((('#sk1' @ '#sk2') = ('#sk1' @ X2))) => ((('#sk2') = (X2)))))),
% 0.55/0.87 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
% 0.55/0.87 thf(zip_derived_cl29, plain,
% 0.55/0.87 ( ((((('#sk1' @ '#sk2') = ('#sk1' @
% 0.55/0.87 (^[Y0 : $i]:
% 0.55/0.87 (((??) @ (^[Y1 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 0.55/0.87 (((Y0) = ('#sk1' @ Y1)))))))))))) =>
% 0.55/0.87 ((('#sk2') =
% 0.55/0.87 ((^[Y0 : $i]:
% 0.55/0.87 (((??) @ (^[Y1 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 0.55/0.87 (((Y0) = ('#sk1' @ Y1))))))))))))))),
% 0.55/0.87 inference('triggered_bool_instantiation', [status(thm)],
% 0.55/0.87 [zip_derived_cl24])).
% 0.55/0.87 thf(zip_derived_cl10, plain,
% 0.55/0.87 ( ((('#sk1' @
% 0.55/0.87 (^[Y0 : $i]:
% 0.55/0.87 (((??) @ (^[Y1 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 0.55/0.87 (((Y0) = ('#sk1' @ Y1)))))))))) =
% 0.55/0.87 ('#sk1' @ '#sk2')))),
% 0.55/0.87 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])).
% 0.55/0.87 thf(zip_derived_cl12, plain,
% 0.55/0.87 ((('#sk1' @
% 0.55/0.87 (^[Y0 : $i]:
% 0.55/0.87 (((??) @ (^[Y1 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 0.55/0.87 (((Y0) = ('#sk1' @ Y1))))))))))
% 0.55/0.87 = ('#sk1' @ '#sk2'))),
% 0.55/0.87 inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])).
% 0.55/0.87 thf(zip_derived_cl43, plain,
% 0.55/0.87 ( ((((('#sk1' @ '#sk2') = ('#sk1' @ '#sk2'))) =>
% 0.55/0.87 ((('#sk2') =
% 0.55/0.87 ((^[Y0 : $i]:
% 0.55/0.87 (((??) @ (^[Y1 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 0.55/0.87 (((Y0) = ('#sk1' @ Y1))))))))))))))),
% 0.55/0.87 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl12])).
% 0.55/0.87 thf(zip_derived_cl44, plain,
% 0.55/0.87 ( ((('#sk2') =
% 0.55/0.87 ((^[Y0 : $i]:
% 0.55/0.87 (((??) @ (^[Y1 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 0.55/0.87 (((Y0) = ('#sk1' @ Y1))))))))))))),
% 0.55/0.87 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl43])).
% 0.55/0.87 thf(zip_derived_cl45, plain,
% 0.55/0.87 ((('#sk2')
% 0.55/0.87 = ((^[Y0 : $i]:
% 0.55/0.87 (((??) @ (^[Y1 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 0.55/0.87 (((Y0) = ('#sk1' @ Y1)))))))))))),
% 0.55/0.87 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])).
% 0.55/0.87 thf(zip_derived_cl48, plain,
% 0.55/0.87 (![X1 : $i]:
% 0.55/0.87 (('#sk2' @ X1)
% 0.55/0.87 = ((^[Y0 : $i]:
% 0.55/0.87 (((??) @ (^[Y1 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 0.55/0.87 (((Y0) = ('#sk1' @ Y1))))))))) @
% 0.55/0.87 X1))),
% 0.55/0.87 inference('ho_complete_eq', [status(thm)], [zip_derived_cl45])).
% 0.55/0.87 thf(zip_derived_cl49, plain,
% 0.55/0.87 (![X1 : $i]:
% 0.55/0.87 (('#sk2' @ X1)
% 0.55/0.87 = (((??) @ (^[Y0 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) &
% 0.55/0.87 (((X1) = ('#sk1' @ Y0)))))))))),
% 0.55/0.87 inference('ho_norm', [status(thm)], [zip_derived_cl48])).
% 0.55/0.87 thf(zip_derived_cl71, plain,
% 0.55/0.87 (![X-86 : $i > $o, X1 : $i]:
% 0.55/0.87 (~ ((^[Y0 : $i > $o]:
% 0.55/0.87 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & (((X1) = ('#sk1' @ Y0)))))) @
% 0.55/0.87 X-86)
% 0.55/0.87 | ('#sk2' @ X1))),
% 0.55/0.87 inference('exists_hoist', [status(thm)], [zip_derived_cl49])).
% 0.55/0.87 thf(zip_derived_cl76, plain,
% 0.55/0.87 (![X-86 : $i > $o, X1 : $i]:
% 0.55/0.87 (~ (((((~) @ (X-86 @ ('#sk1' @ X-86)))) & (((X1) = ('#sk1' @ X-86)))))
% 0.55/0.87 | ('#sk2' @ X1))),
% 0.55/0.87 inference('ho_norm', [status(thm)], [zip_derived_cl71])).
% 0.55/0.87 thf(zip_derived_cl77, plain,
% 0.55/0.87 (![X1 : $i, X2 : $i > $o]:
% 0.55/0.87 (~ (((((~) @ (X2 @ ('#sk1' @ X2)))) & (((X1) = ('#sk1' @ X2)))))
% 0.55/0.87 | ('#sk2' @ X1))),
% 0.55/0.87 inference('cannonize vars', [status(thm)], [zip_derived_cl76])).
% 0.55/0.87 thf(zip_derived_cl78, plain,
% 0.55/0.87 (![X1 : $i, X2 : $i > $o]:
% 0.55/0.87 ( (X2 @ ('#sk1' @ X2)) | ~ (((X1) = ('#sk1' @ X2))) | ('#sk2' @ X1))),
% 0.55/0.87 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl77])).
% 0.55/0.87 thf(zip_derived_cl79, plain,
% 0.55/0.87 (![X1 : $i, X2 : $i > $o]:
% 0.55/0.87 ( (X2 @ ('#sk1' @ X2)) | ((X1) != ('#sk1' @ X2)) | ('#sk2' @ X1))),
% 0.55/0.87 inference('simplify nested equalities', [status(thm)], [zip_derived_cl78])).
% 0.55/0.87 thf(zip_derived_cl80, plain,
% 0.55/0.87 (![X2 : $i > $o]: ( ('#sk2' @ ('#sk1' @ X2)) | (X2 @ ('#sk1' @ X2)))),
% 0.55/0.87 inference('simplify', [status(thm)], [zip_derived_cl79])).
% 0.55/0.87 thf(zip_derived_cl9, plain, (~ ('#sk2' @ ('#sk1' @ '#sk2'))),
% 0.55/0.87 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])).
% 0.55/0.87 thf(zip_derived_cl88, plain, ( ('#sk2' @ ('#sk1' @ '#sk2'))),
% 0.55/0.87 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl9])).
% 0.55/0.87 thf(zip_derived_cl100, plain, ($false),
% 0.55/0.87 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl88])).
% 0.55/0.87
% 0.55/0.87 % SZS output end Refutation
% 0.55/0.87
% 0.55/0.87
% 0.55/0.87 % Terminating...
% 1.87/1.01 % Runner terminated.
% 1.87/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------