%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU797^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fWKDWaAems true
% Computer : n024.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 04:56:25 PM UTC 2025
% Result : Theorem 1.54s 1.78s
% Output : Refutation 1.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.73 % Problem : SEU797^2 : TPTP v9.2.0. Released v3.7.0.
% 0.13/0.75 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fWKDWaAems true
% 0.14/0.96 % Computer : n024.cluster.edu
% 0.14/0.96 % Model : x86_64 x86_64
% 0.14/0.96 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.96 % Memory : 8042.1875MB
% 0.14/0.96 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.96 % CPULimit : 300
% 0.14/0.96 % WCLimit : 300
% 0.14/0.96 % DateTime : Wed Oct 1 16:13:53 EDT 2025
% 0.14/0.98 % CPUTime :
% 0.14/0.98 % Running portfolio for 300 s
% 0.14/0.98 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.99 % Number of cores: 8
% 0.21/0.99 % Python version: Python 3.6.8
% 0.21/1.01 % Running in HO mode
% 0.36/1.48 % Total configuration time : 828
% 0.36/1.48 % Estimated wc time : 1656
% 0.36/1.48 % Estimated cpu time (8 cpus) : 207.0
% 0.36/1.60 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.36/1.61 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.54/1.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.54/1.78 % Solved by lams/35_full_unif4.sh.
% 1.54/1.78 % done 5 iterations in 0.030s
% 1.54/1.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.54/1.78 % SZS output start Refutation
% 1.54/1.78 thf(in_type, type, in: $i > $i > $o).
% 1.54/1.78 thf('#sk1_type', type, '#sk1': $i).
% 1.54/1.78 thf('#sk10_type', type, '#sk10': $i > ($i > $i) > $i > $i).
% 1.54/1.78 thf(image1Equiv_type, type, image1Equiv: $o).
% 1.54/1.78 thf('#sk5_type', type, '#sk5': $i).
% 1.54/1.78 thf(image1_type, type, image1: $i > ($i > $i) > $i).
% 1.54/1.78 thf('#sk2_type', type, '#sk2': $i > $i).
% 1.54/1.78 thf(image1Equiv, axiom, image1Equiv =
% 1.54/1.78 (![A:$i,Xf:( $i > $i ),Xx:$i]:
% 1.54/1.78 ( ( in @ Xx @ ( image1 @ A @ ( ^[Xy:$i]: ( Xf @ Xy ) ) ) ) <=>
% 1.54/1.78 ( ?[Xy:$i]: ( ( ( Xx ) = ( Xf @ Xy ) ) & ( in @ Xy @ A ) ) ) ))).
% 1.54/1.78 thf('0', plain,
% 1.54/1.78 (( image1Equiv ) =
% 1.54/1.78 ( ![X4:$i,X6:( $i > $i ),X8:$i]:
% 1.54/1.78 ( ( in @ X8 @ ( image1 @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=>
% 1.54/1.78 ( ?[X10:$i]: ( ( ( X8 ) = ( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )),
% 1.54/1.78 define([status(thm)])).
% 1.54/1.78 thf(image1I, conjecture,
% 1.54/1.78 (( image1Equiv ) =>
% 1.54/1.78 ( ![A:$i,Xf:( $i > $i ),Xx:$i]:
% 1.54/1.78 ( ( ?[Xy:$i]: ( ( ( Xx ) = ( Xf @ Xy ) ) & ( in @ Xy @ A ) ) ) =>
% 1.54/1.78 ( in @ Xx @ ( image1 @ A @ ( ^[Xy:$i]: ( Xf @ Xy ) ) ) ) ) ))).
% 1.54/1.78 thf(zf_stmt_0, conjecture,
% 1.54/1.78 (( ![X4:$i,X6:( $i > $i ),X8:$i]:
% 1.54/1.78 ( ( in @ X8 @ ( image1 @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=>
% 1.54/1.78 ( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( ( X8 ) = ( X6 @ X10 ) ) ) ) ) ) =>
% 1.54/1.78 ( ![X12:$i,X14:( $i > $i ),X16:$i]:
% 1.54/1.78 ( ( ?[X18:$i]: ( ( in @ X18 @ X12 ) & ( ( X16 ) = ( X14 @ X18 ) ) ) ) =>
% 1.54/1.78 ( in @ X16 @ ( image1 @ X12 @ ( ^[V_2:$i]: ( X14 @ V_2 ) ) ) ) ) ))).
% 1.54/1.78 thf(zf_stmt_1, negated_conjecture,
% 1.54/1.78 (~( ( ![X4:$i,X6:( $i > $i ),X8:$i]:
% 1.54/1.78 ( ( in @ X8 @ ( image1 @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=>
% 1.54/1.78 ( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( ( X8 ) = ( X6 @ X10 ) ) ) ) ) ) =>
% 1.54/1.78 ( ![X12:$i,X14:( $i > $i ),X16:$i]:
% 1.54/1.78 ( ( ?[X18:$i]: ( ( in @ X18 @ X12 ) & ( ( X16 ) = ( X14 @ X18 ) ) ) ) =>
% 1.54/1.78 ( in @ X16 @ ( image1 @ X12 @ ( ^[V_2:$i]: ( X14 @ V_2 ) ) ) ) ) ) )),
% 1.54/1.78 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 1.54/1.78 thf(zip_derived_cl0, plain,
% 1.54/1.78 (~ (((((!!) @ (^[Y0 : $i]:
% 1.54/1.78 (((!!) @ (^[Y1 : $i > $i]:
% 1.54/1.78 (((!!) @ (^[Y2 : $i]:
% 1.54/1.78 (((in @ Y2 @
% 1.54/1.78 (image1 @ Y0 @
% 1.54/1.78 (^[Y3 : $i]: (Y1 @ Y3)))) <=>
% 1.54/1.78 (((??) @ (^[Y3 : $i]:
% 1.54/1.78 (((in @ Y3 @ Y0) &
% 1.54/1.78 (((Y2) = (Y1 @
% 1.54/1.78 Y3))))))))))))))))))) =>
% 1.54/1.78 (((!!) @ (^[Y0 : $i]:
% 1.54/1.78 (((!!) @ (^[Y1 : $i > $i]:
% 1.54/1.78 (((!!) @ (^[Y2 : $i]:
% 1.54/1.78 (((((??) @ (^[Y3 : $i]:
% 1.54/1.78 (((in @ Y3 @ Y0) &
% 1.54/1.78 (((Y2) = (Y1 @
% 1.54/1.78 Y3)))))))) =>
% 1.54/1.78 (in @ Y2 @
% 1.54/1.78 (image1 @ Y0 @
% 1.54/1.78 (^[Y3 : $i]: (Y1 @ Y3)))))))))))))))))),
% 1.54/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.54/1.78 thf(zip_derived_cl1, plain,
% 1.54/1.78 (~ (((((!!) @ (^[Y0 : $i]:
% 1.54/1.78 (((!!) @ (^[Y1 : $i > $i]:
% 1.54/1.78 (((!!) @ (^[Y2 : $i]:
% 1.54/1.78 (((in @ Y2 @
% 1.54/1.78 (image1 @ Y0 @ Y1)) <=>
% 1.54/1.78 (((??) @ (^[Y3 : $i]:
% 1.54/1.78 (((in @ Y3 @ Y0) &
% 1.54/1.78 (((Y2) = (Y1 @
% 1.54/1.78 Y3))))))))))))))))))) =>
% 1.54/1.78 (((!!) @ (^[Y0 : $i]:
% 1.54/1.78 (((!!) @ (^[Y1 : $i > $i]:
% 1.54/1.78 (((!!) @ (^[Y2 : $i]:
% 1.54/1.78 (((((??) @ (^[Y3 : $i]:
% 1.54/1.78 (((in @ Y3 @ Y0) &
% 1.54/1.78 (((Y2) = (Y1 @
% 1.54/1.78 Y3)))))))) =>
% 1.54/1.78 (in @ Y2 @ (image1 @ Y0 @ Y1)))))))))))))))),
% 1.54/1.78 inference('ho_norm', [status(thm)], [zip_derived_cl0])).
% 1.54/1.78 thf(zip_derived_cl3, plain,
% 1.54/1.78 (~ (((!!) @ (^[Y0 : $i]:
% 1.54/1.78 (((!!) @ (^[Y1 : $i > $i]:
% 1.54/1.78 (((!!) @ (^[Y2 : $i]:
% 1.54/1.78 (((((??) @ (^[Y3 : $i]:
% 1.54/1.78 (((in @ Y3 @ Y0) &
% 1.54/1.78 (((Y2) = (Y1 @ Y3)))))))) =>
% 1.54/1.78 (in @ Y2 @ (image1 @ Y0 @ Y1)))))))))))))),
% 1.54/1.78 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 1.54/1.78 thf(zip_derived_cl5, plain,
% 1.54/1.78 (~ (((!!) @ (^[Y0 : $i > $i]:
% 1.54/1.78 (((!!) @ (^[Y1 : $i]:
% 1.54/1.78 (((((??) @ (^[Y2 : $i]:
% 1.54/1.78 (((in @ Y2 @ '#sk1') &
% 1.54/1.78 (((Y1) = (Y0 @ Y2)))))))) =>
% 1.54/1.78 (in @ Y1 @ (image1 @ '#sk1' @ Y0))))))))))),
% 1.54/1.78 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])).
% 1.54/1.78 thf(zip_derived_cl7, plain,
% 1.54/1.78 (~ (((!!) @ (^[Y0 : $i]:
% 1.54/1.78 (((((??) @ (^[Y1 : $i]:
% 1.54/1.78 (((in @ Y1 @ '#sk1') &
% 1.54/1.78 (((Y0) = ('#sk2' @ Y1)))))))) =>
% 1.54/1.78 (in @ Y0 @ (image1 @ '#sk1' @ '#sk2')))))))),
% 1.54/1.78 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])).
% 1.54/1.78 thf(zip_derived_cl9, plain,
% 1.54/1.78 (~ (((((??) @ (^[Y0 : $i]:
% 1.54/1.78 (((in @ Y0 @ '#sk1') & ((('#sk5') = ('#sk2' @ Y0)))))))) =>
% 1.54/1.78 (in @ '#sk5' @ (image1 @ '#sk1' @ '#sk2'))))),
% 1.54/1.78 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])).
% 1.54/1.78 thf(zip_derived_cl14, plain, (~ (in @ '#sk5' @ (image1 @ '#sk1' @ '#sk2'))),
% 1.54/1.78 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])).
% 1.54/1.78 thf(zip_derived_cl13, plain,
% 1.54/1.78 ( (((??) @ (^[Y0 : $i]:
% 1.54/1.78 (((in @ Y0 @ '#sk1') & ((('#sk5') = ('#sk2' @ Y0))))))))),
% 1.54/1.78 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])).
% 1.54/1.78 thf(zip_derived_cl19, plain,
% 1.54/1.78 ( (((in @ ('#sk10' @ '#sk1' @ '#sk2' @ '#sk5') @ '#sk1') &
% 1.54/1.78 ((('#sk5') = ('#sk2' @ ('#sk10' @ '#sk1' @ '#sk2' @ '#sk5'))))))),
% 1.54/1.78 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl13])).
% 1.54/1.78 thf(zip_derived_cl23, plain,
% 1.54/1.78 ( ((('#sk5') = ('#sk2' @ ('#sk10' @ '#sk1' @ '#sk2' @ '#sk5'))))),
% 1.54/1.78 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])).
% 1.54/1.78 thf(zip_derived_cl24, plain,
% 1.54/1.78 ((('#sk5') = ('#sk2' @ ('#sk10' @ '#sk1' @ '#sk2' @ '#sk5')))),
% 1.54/1.78 inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])).
% 1.54/1.78 thf(zip_derived_cl22, plain,
% 1.54/1.78 ( (in @ ('#sk10' @ '#sk1' @ '#sk2' @ '#sk5') @ '#sk1')),
% 1.54/1.78 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])).
% 1.54/1.78 thf(zip_derived_cl2, plain,
% 1.54/1.78 ( (((!!) @ (^[Y0 : $i]:
% 1.54/1.78 (((!!) @ (^[Y1 : $i > $i]:
% 1.54/1.78 (((!!) @ (^[Y2 : $i]:
% 1.54/1.78 (((in @ Y2 @
% 1.54/1.78 (image1 @ Y0 @ Y1)) <=>
% 1.54/1.78 (((??) @ (^[Y3 : $i]:
% 1.54/1.78 (((in @ Y3 @ Y0) &
% 1.54/1.78 (((Y2) = (Y1 @ Y3)))))))))))))))))))),
% 1.54/1.78 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 1.54/1.78 thf(zip_derived_cl4, plain,
% 1.54/1.78 (![X2 : $i]:
% 1.54/1.78 (((!!) @ (^[Y0 : $i > $i]:
% 1.54/1.78 (((!!) @ (^[Y1 : $i]:
% 1.54/1.78 (((in @ Y1 @ (image1 @ X2 @ Y0)) <=>
% 1.54/1.78 (((??) @ (^[Y2 : $i]:
% 1.54/1.78 (((in @ Y2 @ X2) &
% 1.54/1.78 (((Y1) = (Y0 @ Y2))))))))))))))))),
% 1.54/1.78 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])).
% 1.54/1.78 thf(zip_derived_cl6, plain,
% 1.54/1.78 (![X2 : $i, X4 : $i > $i]:
% 1.54/1.78 (((!!) @ (^[Y0 : $i]:
% 1.54/1.78 (((in @ Y0 @ (image1 @ X2 @ X4)) <=>
% 1.54/1.78 (((??) @ (^[Y1 : $i]:
% 1.54/1.78 (((in @ Y1 @ X2) & (((Y0) = (X4 @ Y1)))))))))))))),
% 1.54/1.78 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])).
% 1.54/1.78 thf(zip_derived_cl8, plain,
% 1.54/1.78 (![X2 : $i, X4 : $i > $i, X6 : $i]:
% 1.54/1.78 (((in @ X6 @ (image1 @ X2 @ X4)) <=>
% 1.54/1.78 (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X2) & (((X6) = (X4 @ Y0))))))))))),
% 1.54/1.78 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])).
% 1.54/1.78 thf(zip_derived_cl10, plain,
% 1.54/1.78 (![X2 : $i, X4 : $i > $i, X6 : $i]:
% 1.54/1.78 ((in @ X6 @ (image1 @ X2 @ X4))
% 1.54/1.78 = (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X2) & (((X6) = (X4 @ Y0)))))))))),
% 1.54/1.78 inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])).
% 1.54/1.78 thf(zip_derived_cl11, plain,
% 1.54/1.78 (![X-81 : $i, X2 : $i, X4 : $i > $i, X6 : $i]:
% 1.54/1.78 (~ ((^[Y0 : $i]: (((in @ Y0 @ X2) & (((X6) = (X4 @ Y0)))))) @ X-81)
% 1.54/1.78 | (in @ X6 @ (image1 @ X2 @ X4)))),
% 1.54/1.78 inference('exists_hoist', [status(thm)], [zip_derived_cl10])).
% 1.54/1.78 thf(zip_derived_cl16, plain,
% 1.54/1.78 (![X-81 : $i, X2 : $i, X4 : $i > $i, X6 : $i]:
% 1.54/1.78 (~ (((in @ X-81 @ X2) & (((X6) = (X4 @ X-81)))))
% 1.54/1.78 | (in @ X6 @ (image1 @ X2 @ X4)))),
% 1.54/1.78 inference('ho_norm', [status(thm)], [zip_derived_cl11])).
% 1.54/1.78 thf(zip_derived_cl17, plain,
% 1.54/1.78 (![X2 : $i, X4 : $i > $i, X6 : $i, X7 : $i]:
% 1.54/1.78 (~ (((in @ X7 @ X2) & (((X6) = (X4 @ X7)))))
% 1.54/1.78 | (in @ X6 @ (image1 @ X2 @ X4)))),
% 1.54/1.78 inference('cannonize vars', [status(thm)], [zip_derived_cl16])).
% 1.54/1.78 thf(zip_derived_cl18, plain,
% 1.54/1.78 (![X2 : $i, X4 : $i > $i, X6 : $i, X7 : $i]:
% 1.54/1.78 (~ (in @ X7 @ X2)
% 1.54/1.78 | ~ (((X6) = (X4 @ X7)))
% 1.54/1.78 | (in @ X6 @ (image1 @ X2 @ X4)))),
% 1.54/1.78 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])).
% 1.54/1.78 thf(zip_derived_cl20, plain,
% 1.54/1.78 (![X2 : $i, X4 : $i > $i, X6 : $i, X7 : $i]:
% 1.54/1.78 (~ (in @ X7 @ X2)
% 1.54/1.78 | ((X6) != (X4 @ X7))
% 1.54/1.78 | (in @ X6 @ (image1 @ X2 @ X4)))),
% 1.54/1.78 inference('simplify nested equalities', [status(thm)], [zip_derived_cl18])).
% 1.54/1.78 thf(zip_derived_cl21, plain,
% 1.54/1.78 (![X2 : $i, X4 : $i > $i, X7 : $i]:
% 1.54/1.78 ( (in @ (X4 @ X7) @ (image1 @ X2 @ X4)) | ~ (in @ X7 @ X2))),
% 1.54/1.78 inference('simplify', [status(thm)], [zip_derived_cl20])).
% 1.54/1.78 thf(zip_derived_cl25, plain,
% 1.54/1.78 (![X0 : $i > $i]:
% 1.54/1.78 (in @ (X0 @ ('#sk10' @ '#sk1' @ '#sk2' @ '#sk5')) @
% 1.54/1.78 (image1 @ '#sk1' @ X0))),
% 1.54/1.78 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl21])).
% 1.54/1.78 thf(zip_derived_cl28, plain, ( (in @ '#sk5' @ (image1 @ '#sk1' @ '#sk2'))),
% 1.54/1.78 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl25])).
% 1.54/1.78 thf(zip_derived_cl34, plain, ($false),
% 1.54/1.78 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl28])).
% 1.54/1.78
% 1.54/1.78 % SZS output end Refutation
% 1.54/1.78
% 1.54/1.78
% 1.54/1.78 % Terminating...
% 1.67/1.96 % Runner terminated.
% 2.02/1.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------