%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV420^1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.byOGQM9DaQ true
% Computer : n007.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 04:57:41 PM UTC 2025
% Result : Theorem 0.54s 0.83s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV420^1 : TPTP v9.2.0. Released v4.1.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.byOGQM9DaQ true
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 15:37:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.53/0.66 % Total configuration time : 828
% 0.53/0.66 % Estimated wc time : 1656
% 0.53/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.83 % Solved by lams/40_c_ic.sh.
% 0.54/0.83 % done 6 iterations in 0.065s
% 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(intersection_type, type, intersection: ($i > $o) > ($i > $o) > $i > $o).
% 0.54/0.83 thf(injection_type, type, injection: ($i > $o) > ($i > $i) > ($i > $o) > $o).
% 0.54/0.83 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > ($i > $o) > ($i > $o) > $o).
% 0.54/0.83 thf(sk__18_type, type, sk__18: ($i > $i) > $i).
% 0.54/0.83 thf(equinumerous_type, type, equinumerous: ($i > $o) > ($i > $o) > $o).
% 0.54/0.83 thf(union_type, type, union: ($i > $o) > ($i > $o) > $i > $o).
% 0.54/0.83 thf(emptyset_type, type, emptyset: $i > $o).
% 0.54/0.83 thf(surjection_type, type, surjection: ($i > $o) > ($i > $i) > ($i > $o) > $o).
% 0.54/0.83 thf(bijection_type, type, bijection: ($i > $o) > ($i > $i) > ($i > $o) > $o).
% 0.54/0.83 thf(is_function_type, type, is_function: ($i > $o) > ($i > $i) > ($i > $o) > $o).
% 0.54/0.83 thf(sk__19_type, type, sk__19: ($i > $i) > $i).
% 0.54/0.83 thf(embedding_type, type, embedding: ($i > $o) > ($i > $o) > $o).
% 0.54/0.83 thf(embedding, axiom,(( embedding ) =
% 0.54/0.83 (^[X:( $i > $o ),Y:( $i > $o )]:
% 0.54/0.83 ( ?[F:( $i > $i )]: ( injection @ X @ F @ Y ) )))).
% 0.54/0.83 thf(injection, axiom,(( injection ) =
% 0.54/0.83 (^[X:( $i > $o ),F:( $i > $i ),Y:( $i > $o )]:
% 0.54/0.83 ( ( is_function @ X @ F @ Y ) =>
% 0.54/0.83 ( ![E1:$i,E2:$i]:
% 0.54/0.83 ( ( ( X @ E1 ) & ( X @ E2 ) & ( ( F @ E1 ) = ( F @ E2 ) ) ) =>
% 0.54/0.83 ( ( E1 ) = ( E2 ) ) ) ) )))).
% 0.54/0.83 thf(is_function, axiom,(( is_function ) =
% 0.54/0.83 (^[X:( $i > $o ),F:( $i > $i ),Y:( $i > $o )]:
% 0.54/0.83 ( ![E:$i]: ( ( X @ E ) => ( Y @ ( F @ E ) ) ) )))).
% 0.54/0.83 thf('0', plain,
% 0.54/0.83 (( is_function ) =
% 0.54/0.83 ( ^[X:( $i > $o ),F:( $i > $i ),Y:( $i > $o )]:
% 0.54/0.83 ( ![E:$i]: ( ( X @ E ) => ( Y @ ( F @ E ) ) ) ) )),
% 0.54/0.83 inference('simplify_rw_rule', [status(thm)], [is_function])).
% 0.54/0.83 thf('1', plain,
% 0.54/0.83 (( is_function ) =
% 0.54/0.83 ( ^[V_1:( $i > $o ),V_2:( $i > $i ),V_3:( $i > $o )]:
% 0.54/0.83 ( ![X4:$i]: ( ( V_1 @ X4 ) => ( V_3 @ ( V_2 @ X4 ) ) ) ) )),
% 0.54/0.83 define([status(thm)])).
% 0.54/0.83 thf('2', plain,
% 0.54/0.83 (( injection ) =
% 0.54/0.83 ( ^[X:( $i > $o ),F:( $i > $i ),Y:( $i > $o )]:
% 0.54/0.83 ( ( is_function @ X @ F @ Y ) =>
% 0.54/0.83 ( ![E1:$i,E2:$i]:
% 0.54/0.83 ( ( ( X @ E1 ) & ( X @ E2 ) & ( ( F @ E1 ) = ( F @ E2 ) ) ) =>
% 0.54/0.83 ( ( E1 ) = ( E2 ) ) ) ) ) )),
% 0.54/0.83 inference('simplify_rw_rule', [status(thm)], [injection, '1'])).
% 0.54/0.83 thf('3', plain,
% 0.54/0.83 (( injection ) =
% 0.54/0.83 ( ^[V_1:( $i > $o ),V_2:( $i > $i ),V_3:( $i > $o )]:
% 0.54/0.83 ( ( is_function @ V_1 @ V_2 @ V_3 ) =>
% 0.54/0.83 ( ![X4:$i,X6:$i]:
% 0.54/0.83 ( ( ( V_1 @ X4 ) & ( V_1 @ X6 ) & ( ( V_2 @ X4 ) = ( V_2 @ X6 ) ) ) =>
% 0.54/0.83 ( ( X4 ) = ( X6 ) ) ) ) ) )),
% 0.54/0.83 define([status(thm)])).
% 0.54/0.83 thf('4', plain,
% 0.54/0.83 (( embedding ) =
% 0.54/0.83 ( ^[X:( $i > $o ),Y:( $i > $o )]:
% 0.54/0.83 ( ?[F:( $i > $i )]: ( injection @ X @ F @ Y ) ) )),
% 0.54/0.83 inference('simplify_rw_rule', [status(thm)], [embedding, '3', '1'])).
% 0.54/0.83 thf('5', plain,
% 0.54/0.83 (( embedding ) =
% 0.54/0.83 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
% 0.54/0.83 ( ?[X4:( $i > $i )]: ( injection @ V_1 @ X4 @ V_2 ) ) )),
% 0.54/0.83 define([status(thm)])).
% 0.54/0.83 thf(equinumerous, axiom,(( equinumerous ) =
% 0.54/0.83 (^[X:( $i > $o ),Y:( $i > $o )]:
% 0.54/0.83 ( ?[F:( $i > $i )]: ( bijection @ X @ F @ Y ) )))).
% 0.54/0.83 thf(bijection, axiom,(( bijection ) =
% 0.54/0.83 (^[X:( $i > $o ),F:( $i > $i ),Y:( $i > $o )]:
% 0.54/0.83 ( ( injection @ X @ F @ Y ) & ( surjection @ X @ F @ Y ) )))).
% 0.54/0.83 thf(surjection, axiom,(( surjection ) =
% 0.54/0.83 (^[X:( $i > $o ),F:( $i > $i ),Y:( $i > $o )]:
% 0.54/0.83 ( ( is_function @ X @ F @ Y ) =>
% 0.54/0.83 ( ![E1:$i]:
% 0.54/0.83 ( ( Y @ E1 ) => ( ?[E2:$i]: ( ( ( F @ E2 ) = ( E1 ) ) & ( X @ E2 ) ) ) ) ) )))).
% 0.54/0.83 thf('6', plain,
% 0.54/0.83 (( surjection ) =
% 0.54/0.83 ( ^[X:( $i > $o ),F:( $i > $i ),Y:( $i > $o )]:
% 0.54/0.83 ( ( is_function @ X @ F @ Y ) =>
% 0.54/0.83 ( ![E1:$i]:
% 0.54/0.83 ( ( Y @ E1 ) =>
% 0.54/0.83 ( ?[E2:$i]: ( ( ( F @ E2 ) = ( E1 ) ) & ( X @ E2 ) ) ) ) ) ) )),
% 0.54/0.83 inference('simplify_rw_rule', [status(thm)], [surjection, '1'])).
% 0.54/0.83 thf('7', plain,
% 0.54/0.83 (( surjection ) =
% 0.54/0.83 ( ^[V_1:( $i > $o ),V_2:( $i > $i ),V_3:( $i > $o )]:
% 0.54/0.83 ( ( is_function @ V_1 @ V_2 @ V_3 ) =>
% 0.54/0.83 ( ![X4:$i]:
% 0.54/0.83 ( ( V_3 @ X4 ) =>
% 0.54/0.83 ( ?[X6:$i]: ( ( ( V_2 @ X6 ) = ( X4 ) ) & ( V_1 @ X6 ) ) ) ) ) ) )),
% 0.54/0.83 define([status(thm)])).
% 0.54/0.83 thf('8', plain,
% 0.54/0.83 (( bijection ) =
% 0.54/0.83 ( ^[X:( $i > $o ),F:( $i > $i ),Y:( $i > $o )]:
% 0.54/0.83 ( ( injection @ X @ F @ Y ) & ( surjection @ X @ F @ Y ) ) )),
% 0.54/0.83 inference('simplify_rw_rule', [status(thm)], [bijection, '7', '3', '1'])).
% 0.54/0.83 thf('9', plain,
% 0.54/0.83 (( bijection ) =
% 0.54/0.83 ( ^[V_1:( $i > $o ),V_2:( $i > $i ),V_3:( $i > $o )]:
% 0.54/0.83 ( ( injection @ V_1 @ V_2 @ V_3 ) & ( surjection @ V_1 @ V_2 @ V_3 ) ) )),
% 0.54/0.83 define([status(thm)])).
% 0.54/0.83 thf('10', plain,
% 0.54/0.83 (( equinumerous ) =
% 0.54/0.83 ( ^[X:( $i > $o ),Y:( $i > $o )]:
% 0.54/0.83 ( ?[F:( $i > $i )]: ( bijection @ X @ F @ Y ) ) )),
% 0.54/0.83 inference('simplify_rw_rule', [status(thm)],
% 0.54/0.83 [equinumerous, '9', '7', '1'])).
% 0.54/0.83 thf('11', plain,
% 0.54/0.83 (( equinumerous ) =
% 0.54/0.83 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
% 0.54/0.83 ( ?[X4:( $i > $i )]: ( bijection @ V_1 @ X4 @ V_2 ) ) )),
% 0.54/0.83 define([status(thm)])).
% 0.54/0.83 thf(intersection, axiom,(( intersection ) =
% 0.54/0.83 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) & ( Y @ U ) )))).
% 0.54/0.83 thf('12', plain,
% 0.54/0.83 (( intersection ) =
% 0.54/0.83 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) & ( Y @ U ) ) )),
% 0.54/0.83 inference('simplify_rw_rule', [status(thm)], [intersection])).
% 0.54/0.83 thf('13', plain,
% 0.54/0.83 (( intersection ) =
% 0.54/0.83 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 0.54/0.83 ( ( V_1 @ V_3 ) & ( V_2 @ V_3 ) ) )),
% 0.54/0.83 define([status(thm)])).
% 0.54/0.83 thf(union, axiom,(( union ) =
% 0.54/0.83 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) )))).
% 0.54/0.83 thf('14', plain,
% 0.54/0.83 (( union ) =
% 0.54/0.83 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) ) )),
% 0.54/0.83 inference('simplify_rw_rule', [status(thm)], [union])).
% 0.54/0.83 thf('15', plain,
% 0.54/0.83 (( union ) =
% 0.54/0.83 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 0.54/0.83 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )),
% 0.54/0.83 define([status(thm)])).
% 0.54/0.83 thf(emptyset, axiom,(( emptyset ) = (^[X:$i]: ( $false )))).
% 0.54/0.83 thf('16', plain, (( emptyset ) = ( ^[X:$i]: ( $false ) )),
% 0.54/0.83 inference('simplify_rw_rule', [status(thm)], [emptyset])).
% 0.54/0.83 thf('17', plain, (( emptyset ) = ( ^[V_1:$i]: ( $false ) )),
% 0.54/0.83 define([status(thm)])).
% 0.54/0.83 thf(prove, conjecture,
% 0.54/0.83 (![A:( $i > $o ),Ap:( $i > $o ),B:( $i > $o ),Bp:( $i > $o )]:
% 0.54/0.83 ( ( ( equinumerous @ A @ Ap ) & ( equinumerous @ B @ Bp ) &
% 0.54/0.83 ( ( intersection @ Ap @ Bp ) = ( emptyset ) ) ) =>
% 0.54/0.83 ( embedding @ ( union @ A @ B ) @ ( union @ Ap @ Bp ) ) ))).
% 0.54/0.83 thf(zf_stmt_0, conjecture,
% 0.54/0.83 (![X4:( $i > $o ),X6:( $i > $o ),X8:( $i > $o ),X10:( $i > $o )]:
% 0.54/0.83 ( ( ( ![V_2:$i]: ( ( ( X10 @ V_2 ) & ( X6 @ V_2 ) ) <=> ( $false ) ) ) &
% 0.54/0.83 ( ?[X26:( $i > $i )]:
% 0.54/0.83 ( ( ( ![X34:$i]: ( ( X8 @ X34 ) => ( X10 @ ( X26 @ X34 ) ) ) ) =>
% 0.54/0.83 ( ![X36:$i]:
% 0.54/0.83 ( ( X10 @ X36 ) =>
% 0.54/0.83 ( ?[X38:$i]: ( ( X8 @ X38 ) & ( ( X26 @ X38 ) = ( X36 ) ) ) ) ) ) ) &
% 0.54/0.83 ( ( ![X28:$i]: ( ( X8 @ X28 ) => ( X10 @ ( X26 @ X28 ) ) ) ) =>
% 0.54/0.83 ( ![X30:$i,X32:$i]:
% 0.54/0.83 ( ( ( ( X26 @ X30 ) = ( X26 @ X32 ) ) & ( X8 @ X32 ) &
% 0.54/0.83 ( X8 @ X30 ) ) =>
% 0.54/0.83 ( ( X30 ) = ( X32 ) ) ) ) ) ) ) &
% 0.54/0.83 ( ?[X12:( $i > $i )]:
% 0.54/0.83 ( ( ( ![X20:$i]: ( ( X4 @ X20 ) => ( X6 @ ( X12 @ X20 ) ) ) ) =>
% 0.54/0.83 ( ![X22:$i]:
% 0.54/0.83 ( ( X6 @ X22 ) =>
% 0.54/0.83 ( ?[X24:$i]: ( ( X4 @ X24 ) & ( ( X12 @ X24 ) = ( X22 ) ) ) ) ) ) ) &
% 0.54/0.83 ( ( ![X14:$i]: ( ( X4 @ X14 ) => ( X6 @ ( X12 @ X14 ) ) ) ) =>
% 0.54/0.83 ( ![X16:$i,X18:$i]:
% 0.54/0.83 ( ( ( ( X12 @ X16 ) = ( X12 @ X18 ) ) & ( X4 @ X18 ) &
% 0.54/0.83 ( X4 @ X16 ) ) =>
% 0.54/0.83 ( ( X16 ) = ( X18 ) ) ) ) ) ) ) ) =>
% 0.54/0.83 ( ?[X40:( $i > $i )]:
% 0.54/0.83 ( ( ![X42:$i]:
% 0.54/0.83 ( ( ( X8 @ X42 ) | ( X4 @ X42 ) ) =>
% 0.54/0.83 ( ( X10 @ ( X40 @ X42 ) ) | ( X6 @ ( X40 @ X42 ) ) ) ) ) =>
% 0.54/0.83 ( ![X44:$i,X46:$i]:
% 0.54/0.83 ( ( ( ( X40 @ X44 ) = ( X40 @ X46 ) ) &
% 0.54/0.83 ( ( X8 @ X46 ) | ( X4 @ X46 ) ) &
% 0.54/0.83 ( ( X8 @ X44 ) | ( X4 @ X44 ) ) ) =>
% 0.54/0.83 ( ( X44 ) = ( X46 ) ) ) ) ) ) ))).
% 0.54/0.83 thf(zf_stmt_1, type, zip_tseitin_0 : $i > ( $i > $o ) > ( $i > $o ) > $o).
% 0.54/0.83 thf(zf_stmt_2, axiom,
% 0.54/0.83 (![V_2:$i,X10:( $i > $o ),X6:( $i > $o )]:
% 0.54/0.83 ( ( zip_tseitin_0 @ V_2 @ X10 @ X6 ) <=> ( ( X6 @ V_2 ) & ( X10 @ V_2 ) ) ))).
% 0.54/0.83 thf(zf_stmt_3, conjecture,
% 0.54/0.83 (![X4:( $i > $o ),X6:( $i > $o ),X8:( $i > $o ),X10:( $i > $o )]:
% 0.54/0.83 ( ( ( ?[X12:( $i > $i )]:
% 0.54/0.83 ( ( ( ![X14:$i]: ( ( X4 @ X14 ) => ( X6 @ ( X12 @ X14 ) ) ) ) =>
% 0.54/0.83 ( ![X16:$i,X18:$i]:
% 0.54/0.83 ( ( ( X4 @ X16 ) & ( X4 @ X18 ) &
% 0.54/0.83 ( ( X12 @ X16 ) = ( X12 @ X18 ) ) ) =>
% 0.54/0.83 ( ( X16 ) = ( X18 ) ) ) ) ) &
% 0.54/0.83 ( ( ![X20:$i]: ( ( X4 @ X20 ) => ( X6 @ ( X12 @ X20 ) ) ) ) =>
% 0.54/0.83 ( ![X22:$i]:
% 0.54/0.83 ( ( X6 @ X22 ) =>
% 0.54/0.83 ( ?[X24:$i]: ( ( ( X12 @ X24 ) = ( X22 ) ) & ( X4 @ X24 ) ) ) ) ) ) ) ) &
% 0.54/0.83 ( ?[X26:( $i > $i )]:
% 0.54/0.83 ( ( ( ![X28:$i]: ( ( X8 @ X28 ) => ( X10 @ ( X26 @ X28 ) ) ) ) =>
% 0.54/0.83 ( ![X30:$i,X32:$i]:
% 0.54/0.83 ( ( ( X8 @ X30 ) & ( X8 @ X32 ) &
% 0.54/0.83 ( ( X26 @ X30 ) = ( X26 @ X32 ) ) ) =>
% 0.54/0.83 ( ( X30 ) = ( X32 ) ) ) ) ) &
% 0.54/0.83 ( ( ![X34:$i]: ( ( X8 @ X34 ) => ( X10 @ ( X26 @ X34 ) ) ) ) =>
% 0.54/0.83 ( ![X36:$i]:
% 0.54/0.83 ( ( X10 @ X36 ) =>
% 0.54/0.83 ( ?[X38:$i]: ( ( ( X26 @ X38 ) = ( X36 ) ) & ( X8 @ X38 ) ) ) ) ) ) ) ) &
% 0.54/0.83 ( ![V_2:$i]: ( ( zip_tseitin_0 @ V_2 @ X10 @ X6 ) <=> ( $false ) ) ) ) =>
% 0.54/0.83 ( ?[X40:( $i > $i )]:
% 0.54/0.83 ( ( ![X42:$i]:
% 0.54/0.83 ( ( ( X4 @ X42 ) | ( X8 @ X42 ) ) =>
% 0.54/0.83 ( ( X6 @ ( X40 @ X42 ) ) | ( X10 @ ( X40 @ X42 ) ) ) ) ) =>
% 0.54/0.83 ( ![X44:$i,X46:$i]:
% 0.54/0.83 ( ( ( ( X4 @ X44 ) | ( X8 @ X44 ) ) &
% 0.54/0.83 ( ( X4 @ X46 ) | ( X8 @ X46 ) ) &
% 0.54/0.83 ( ( X40 @ X44 ) = ( X40 @ X46 ) ) ) =>
% 0.54/0.83 ( ( X44 ) = ( X46 ) ) ) ) ) ) ))).
% 0.54/0.83 thf(zf_stmt_4, negated_conjecture,
% 0.54/0.83 (~( ![X4:( $i > $o ),X6:( $i > $o ),X8:( $i > $o ),X10:( $i > $o )]:
% 0.54/0.83 ( ( ( ?[X12:( $i > $i )]:
% 0.54/0.83 ( ( ( ![X14:$i]: ( ( X4 @ X14 ) => ( X6 @ ( X12 @ X14 ) ) ) ) =>
% 0.54/0.83 ( ![X16:$i,X18:$i]:
% 0.54/0.83 ( ( ( X4 @ X16 ) & ( X4 @ X18 ) &
% 0.54/0.83 ( ( X12 @ X16 ) = ( X12 @ X18 ) ) ) =>
% 0.54/0.83 ( ( X16 ) = ( X18 ) ) ) ) ) &
% 0.54/0.83 ( ( ![X20:$i]: ( ( X4 @ X20 ) => ( X6 @ ( X12 @ X20 ) ) ) ) =>
% 0.54/0.83 ( ![X22:$i]:
% 0.54/0.83 ( ( X6 @ X22 ) =>
% 0.54/0.83 ( ?[X24:$i]:
% 0.54/0.83 ( ( ( X12 @ X24 ) = ( X22 ) ) & ( X4 @ X24 ) ) ) ) ) ) ) ) &
% 0.54/0.83 ( ?[X26:( $i > $i )]:
% 0.54/0.83 ( ( ( ![X28:$i]: ( ( X8 @ X28 ) => ( X10 @ ( X26 @ X28 ) ) ) ) =>
% 0.54/0.83 ( ![X30:$i,X32:$i]:
% 0.54/0.83 ( ( ( X8 @ X30 ) & ( X8 @ X32 ) &
% 0.54/0.83 ( ( X26 @ X30 ) = ( X26 @ X32 ) ) ) =>
% 0.54/0.83 ( ( X30 ) = ( X32 ) ) ) ) ) &
% 0.54/0.83 ( ( ![X34:$i]: ( ( X8 @ X34 ) => ( X10 @ ( X26 @ X34 ) ) ) ) =>
% 0.54/0.83 ( ![X36:$i]:
% 0.54/0.83 ( ( X10 @ X36 ) =>
% 0.54/0.83 ( ?[X38:$i]:
% 0.54/0.83 ( ( ( X26 @ X38 ) = ( X36 ) ) & ( X8 @ X38 ) ) ) ) ) ) ) ) &
% 0.54/0.83 ( ![V_2:$i]: ( ( zip_tseitin_0 @ V_2 @ X10 @ X6 ) <=> ( $false ) ) ) ) =>
% 0.54/0.83 ( ?[X40:( $i > $i )]:
% 0.54/0.83 ( ( ![X42:$i]:
% 0.54/0.83 ( ( ( X4 @ X42 ) | ( X8 @ X42 ) ) =>
% 0.54/0.83 ( ( X6 @ ( X40 @ X42 ) ) | ( X10 @ ( X40 @ X42 ) ) ) ) ) =>
% 0.54/0.83 ( ![X44:$i,X46:$i]:
% 0.54/0.83 ( ( ( ( X4 @ X44 ) | ( X8 @ X44 ) ) &
% 0.54/0.83 ( ( X4 @ X46 ) | ( X8 @ X46 ) ) &
% 0.54/0.83 ( ( X40 @ X44 ) = ( X40 @ X46 ) ) ) =>
% 0.54/0.83 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) )),
% 0.54/0.83 inference('cnf.neg', [status(esa)], [zf_stmt_3])).
% 0.54/0.83 thf(zip_derived_cl6, plain,
% 0.54/0.83 (![X2 : $i > $i]: ((X2 @ (sk__18 @ X2)) = (X2 @ (sk__19 @ X2)))),
% 0.54/0.83 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/0.83 thf(zip_derived_cl6, plain,
% 0.54/0.83 (![X2 : $i > $i]: ((X2 @ (sk__18 @ X2)) = (X2 @ (sk__19 @ X2)))),
% 0.54/0.83 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/0.83 thf(zip_derived_cl25, plain,
% 0.54/0.83 ((((^[Y0 : $i]: (Y0)) @ (sk__18 @ (^[Y0 : $i]: (Y0))))
% 0.54/0.83 = ((^[Y0 : $i]: (sk__19 @ ((^[Y1 : $i,Y2 : $i]: (Y2)) @ Y0))) @
% 0.54/0.83 (sk__19 @
% 0.54/0.83 (^[Y0 : $i]: (sk__19 @ ((^[Y1 : $i,Y2 : $i]: (Y2)) @ Y0))))))),
% 0.54/0.83 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 0.54/0.83 thf(zip_derived_cl41, plain,
% 0.54/0.83 (((sk__18 @ (^[Y0 : $i]: (Y0))) = (sk__19 @ (^[Y0 : $i]: (Y0))))),
% 0.54/0.83 inference('ho_norm', [status(thm)], [zip_derived_cl25])).
% 0.54/0.83 thf(zip_derived_cl5, plain,
% 0.54/0.83 (![X2 : $i > $i]: ((sk__18 @ X2) != (sk__19 @ X2))),
% 0.54/0.83 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/0.83 thf(zip_derived_cl68, plain,
% 0.54/0.83 (((sk__18 @ (^[Y0 : $i]: (Y0))) != (sk__18 @ (^[Y0 : $i]: (Y0))))),
% 0.54/0.83 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl5])).
% 0.54/0.83 thf(zip_derived_cl74, plain, ($false),
% 0.54/0.83 inference('simplify', [status(thm)], [zip_derived_cl68])).
% 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...
% 1.65/0.87 % Runner terminated.
% 1.65/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------