%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM380+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CaHrHRAANg true
% Computer : n029.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 04:46:51 PM UTC 2025
% Result : Theorem 10.31s 2.10s
% Output : Refutation 10.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM380+1 : TPTP v9.2.0. Released v3.2.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CaHrHRAANg true
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:43:23 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.52/0.64 % Total configuration time : 435
% 0.52/0.64 % Estimated wc time : 1092
% 0.52/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.31/2.10 % Solved by fo/fo3_bce.sh.
% 10.31/2.10 % BCE start: 55
% 10.31/2.10 % BCE eliminated: 6
% 10.31/2.10 % PE start: 49
% 10.31/2.10 logic: eq
% 10.31/2.10 % PE eliminated: 1
% 10.31/2.10 % done 1873 iterations in 1.365s
% 10.31/2.10 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.31/2.10 % SZS output start Refutation
% 10.31/2.10 thf(unordered_quadruple_type, type, unordered_quadruple: $i > $i > $i > $i > $i).
% 10.31/2.10 thf(sk__1_type, type, sk__1: $i > $i).
% 10.31/2.10 thf(sk__14_type, type, sk__14: $i).
% 10.31/2.10 thf(in_type, type, in: $i > $i > $o).
% 10.31/2.10 thf(element_type, type, element: $i > $i > $o).
% 10.31/2.10 thf(sk__16_type, type, sk__16: $i > $i).
% 10.31/2.10 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 10.31/2.10 thf(sk__12_type, type, sk__12: $i).
% 10.31/2.10 thf(sk__13_type, type, sk__13: $i).
% 10.31/2.10 thf(sk__15_type, type, sk__15: $i).
% 10.31/2.10 thf(empty_type, type, empty: $i > $o).
% 10.31/2.10 thf(d2_enumset1, axiom,
% 10.31/2.10 (![A:$i,B:$i,C:$i,D:$i,E:$i]:
% 10.31/2.10 ( ( ( E ) = ( unordered_quadruple @ A @ B @ C @ D ) ) <=>
% 10.31/2.10 ( ![F:$i]:
% 10.31/2.10 ( ( in @ F @ E ) <=>
% 10.31/2.10 ( ~( ( ( F ) != ( D ) ) & ( ( F ) != ( C ) ) & ( ( F ) != ( B ) ) &
% 10.31/2.10 ( ( F ) != ( A ) ) ) ) ) ) ))).
% 10.31/2.10 thf(zf_stmt_0, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 10.31/2.10 thf(zf_stmt_1, axiom,
% 10.31/2.10 (![F:$i,D:$i,C:$i,B:$i,A:$i]:
% 10.31/2.10 ( ( zip_tseitin_0 @ F @ D @ C @ B @ A ) <=>
% 10.31/2.10 ( ( ( F ) != ( A ) ) & ( ( F ) != ( B ) ) & ( ( F ) != ( C ) ) &
% 10.31/2.10 ( ( F ) != ( D ) ) ) ))).
% 10.31/2.10 thf(zf_stmt_2, axiom,
% 10.31/2.10 (![A:$i,B:$i,C:$i,D:$i,E:$i]:
% 10.31/2.10 ( ( ( E ) = ( unordered_quadruple @ A @ B @ C @ D ) ) <=>
% 10.31/2.10 ( ![F:$i]:
% 10.31/2.10 ( ( in @ F @ E ) <=> ( ~( zip_tseitin_0 @ F @ D @ C @ B @ A ) ) ) ) ))).
% 10.31/2.10 thf(zip_derived_cl11, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.31/2.10 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.31/2.10 | (in @ X0 @ X5)
% 10.31/2.10 | ((X5) != (unordered_quadruple @ X4 @ X3 @ X2 @ X1)))),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.31/2.10 thf(zip_derived_cl9, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.31/2.10 (((X1) != (X0)) | ~ (zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.31/2.10 thf(zip_derived_cl226, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.31/2.10 (((X5) != (unordered_quadruple @ X0 @ X1 @ X2 @ X3))
% 10.31/2.10 | (in @ X4 @ X5)
% 10.31/2.10 | ((X4) != (X3)))),
% 10.31/2.10 inference('dp-resolution', [status(thm)],
% 10.31/2.10 [zip_derived_cl11, zip_derived_cl9])).
% 10.31/2.10 thf(zip_derived_cl304, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.31/2.10 ( (in @ X1 @ X0) | ((X0) != (unordered_quadruple @ X4 @ X3 @ X2 @ X1)))),
% 10.31/2.10 inference('eq_res', [status(thm)], [zip_derived_cl226])).
% 10.31/2.10 thf(zip_derived_cl319, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.31/2.10 (in @ X0 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0))),
% 10.31/2.10 inference('eq_res', [status(thm)], [zip_derived_cl304])).
% 10.31/2.10 thf(zip_derived_cl11, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.31/2.10 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.31/2.10 | (in @ X0 @ X5)
% 10.31/2.10 | ((X5) != (unordered_quadruple @ X4 @ X3 @ X2 @ X1)))),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.31/2.10 thf(zip_derived_cl6, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.31/2.10 (((X1) != (X0)) | ~ (zip_tseitin_0 @ X1 @ X2 @ X3 @ X4 @ X0))),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.31/2.10 thf(zip_derived_cl223, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.31/2.10 (((X5) != (unordered_quadruple @ X0 @ X1 @ X2 @ X3))
% 10.31/2.10 | (in @ X4 @ X5)
% 10.31/2.10 | ((X4) != (X0)))),
% 10.31/2.10 inference('dp-resolution', [status(thm)],
% 10.31/2.10 [zip_derived_cl11, zip_derived_cl6])).
% 10.31/2.10 thf(zip_derived_cl295, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.31/2.10 ( (in @ X1 @ X0) | ((X0) != (unordered_quadruple @ X1 @ X4 @ X3 @ X2)))),
% 10.31/2.10 inference('eq_res', [status(thm)], [zip_derived_cl223])).
% 10.31/2.10 thf(zip_derived_cl307, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.31/2.10 (in @ X3 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0))),
% 10.31/2.10 inference('eq_res', [status(thm)], [zip_derived_cl295])).
% 10.31/2.10 thf(t4_ordinal1, conjecture,
% 10.31/2.10 (![A:$i,B:$i,C:$i,D:$i]:
% 10.31/2.10 ( ~( ( in @ A @ B ) & ( in @ B @ C ) & ( in @ C @ D ) & ( in @ D @ A ) ) ))).
% 10.31/2.10 thf(zf_stmt_3, negated_conjecture,
% 10.31/2.10 (~( ![A:$i,B:$i,C:$i,D:$i]:
% 10.31/2.10 ( ~( ( in @ A @ B ) & ( in @ B @ C ) & ( in @ C @ D ) & ( in @ D @ A ) ) ) )),
% 10.31/2.10 inference('cnf.neg', [status(esa)], [t4_ordinal1])).
% 10.31/2.10 thf(zip_derived_cl46, plain, ( (in @ sk__14 @ sk__15)),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.31/2.10 thf(zip_derived_cl49, plain, ( (in @ sk__12 @ sk__13)),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.31/2.10 thf(existence_m1_subset_1, axiom,
% 10.31/2.10 (![A:$i]: ( ?[B:$i]: ( element @ B @ A ) ))).
% 10.31/2.10 thf(zip_derived_cl15, plain, (![X0 : $i]: (element @ (sk__1 @ X0) @ X0)),
% 10.31/2.10 inference('cnf', [status(esa)], [existence_m1_subset_1])).
% 10.31/2.10 thf(t2_subset, axiom,
% 10.31/2.10 (![A:$i,B:$i]:
% 10.31/2.10 ( ( element @ A @ B ) => ( ( empty @ B ) | ( in @ A @ B ) ) ))).
% 10.31/2.10 thf(zip_derived_cl45, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i]:
% 10.31/2.10 ( (in @ X0 @ X1) | (empty @ X1) | ~ (element @ X0 @ X1))),
% 10.31/2.10 inference('cnf', [status(esa)], [t2_subset])).
% 10.31/2.10 thf(zip_derived_cl221, plain,
% 10.31/2.10 (![X0 : $i]: ( (empty @ X0) | (in @ (sk__1 @ X0) @ X0))),
% 10.31/2.10 inference('dp-resolution', [status(thm)],
% 10.31/2.10 [zip_derived_cl15, zip_derived_cl45])).
% 10.31/2.10 thf(t7_tarski, axiom,
% 10.31/2.10 (![A:$i,B:$i]:
% 10.31/2.10 ( ~( ( in @ A @ B ) &
% 10.31/2.10 ( ![C:$i]:
% 10.31/2.10 ( ~( ( in @ C @ B ) &
% 10.31/2.10 ( ![D:$i]: ( ~( ( in @ D @ B ) & ( in @ D @ C ) ) ) ) ) ) ) ) ))).
% 10.31/2.10 thf(zip_derived_cl52, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i]: (~ (in @ X0 @ X1) | (in @ (sk__16 @ X1) @ X1))),
% 10.31/2.10 inference('cnf', [status(esa)], [t7_tarski])).
% 10.31/2.10 thf(zip_derived_cl287, plain,
% 10.31/2.10 (![X0 : $i]: ( (empty @ X0) | (in @ (sk__16 @ X0) @ X0))),
% 10.31/2.10 inference('sup-', [status(thm)], [zip_derived_cl221, zip_derived_cl52])).
% 10.31/2.10 thf(zip_derived_cl10, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.31/2.10 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.31/2.10 | ((X0) = (X1))
% 10.31/2.10 | ((X0) = (X2))
% 10.31/2.10 | ((X0) = (X3))
% 10.31/2.10 | ((X0) = (X4)))),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.31/2.10 thf(zip_derived_cl12, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.31/2.10 (~ (in @ X0 @ X1)
% 10.31/2.10 | ~ (zip_tseitin_0 @ X0 @ X2 @ X3 @ X4 @ X5)
% 10.31/2.10 | ((X1) != (unordered_quadruple @ X5 @ X4 @ X3 @ X2)))),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.31/2.10 thf(zip_derived_cl231, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.31/2.10 (((X4) = (X0))
% 10.31/2.10 | ((X4) = (X1))
% 10.31/2.10 | ((X4) = (X2))
% 10.31/2.10 | ((X4) = (X3))
% 10.31/2.10 | ((X5) != (unordered_quadruple @ X0 @ X1 @ X2 @ X3))
% 10.31/2.10 | ~ (in @ X4 @ X5))),
% 10.31/2.10 inference('dp-resolution', [status(thm)],
% 10.31/2.10 [zip_derived_cl10, zip_derived_cl12])).
% 10.31/2.10 thf(zip_derived_cl306, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.31/2.10 (~ (in @ X4 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0))
% 10.31/2.10 | ((X4) = (X0))
% 10.31/2.10 | ((X4) = (X1))
% 10.31/2.10 | ((X4) = (X2))
% 10.31/2.10 | ((X4) = (X3)))),
% 10.31/2.10 inference('eq_res', [status(thm)], [zip_derived_cl231])).
% 10.31/2.10 thf(zip_derived_cl343, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.31/2.10 ( (empty @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0)) = (X3))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0)) = (X2))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0)) = (X1))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0)) = (X0)))),
% 10.31/2.10 inference('sup-', [status(thm)], [zip_derived_cl287, zip_derived_cl306])).
% 10.31/2.10 thf(zip_derived_cl307, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.31/2.10 (in @ X3 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0))),
% 10.31/2.10 inference('eq_res', [status(thm)], [zip_derived_cl295])).
% 10.31/2.10 thf(t7_boole, axiom, (![A:$i,B:$i]: ( ~( ( in @ A @ B ) & ( empty @ B ) ) ))).
% 10.31/2.10 thf(zip_derived_cl51, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i]: (~ (in @ X0 @ X1) | ~ (empty @ X1))),
% 10.31/2.10 inference('cnf', [status(esa)], [t7_boole])).
% 10.31/2.10 thf(zip_derived_cl321, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.31/2.10 ~ (empty @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0))),
% 10.31/2.10 inference('sup-', [status(thm)], [zip_derived_cl307, zip_derived_cl51])).
% 10.31/2.10 thf(zip_derived_cl345, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.31/2.10 (((sk__16 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0)) = (X3))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0)) = (X2))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0)) = (X1))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0)) = (X0)))),
% 10.31/2.10 inference('demod', [status(thm)], [zip_derived_cl343, zip_derived_cl321])).
% 10.31/2.10 thf(zip_derived_cl53, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.31/2.10 (~ (in @ X0 @ X1) | ~ (in @ X2 @ X1) | ~ (in @ X2 @ (sk__16 @ X1)))),
% 10.31/2.10 inference('cnf', [status(esa)], [t7_tarski])).
% 10.31/2.10 thf(zip_derived_cl276, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i]: (~ (in @ X1 @ (sk__16 @ X0)) | ~ (in @ X1 @ X0))),
% 10.31/2.10 inference('condensation', [status(thm)], [zip_derived_cl53])).
% 10.31/2.10 thf(zip_derived_cl1273, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.31/2.10 (~ (in @ X4 @ X0)
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ X0 @ X3 @ X2 @ X1)) = (X1))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ X0 @ X3 @ X2 @ X1)) = (X2))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ X0 @ X3 @ X2 @ X1)) = (X3))
% 10.31/2.10 | ~ (in @ X4 @ (unordered_quadruple @ X0 @ X3 @ X2 @ X1)))),
% 10.31/2.10 inference('sup-', [status(thm)], [zip_derived_cl345, zip_derived_cl276])).
% 10.31/2.10 thf(zip_derived_cl11, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.31/2.10 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.31/2.10 | (in @ X0 @ X5)
% 10.31/2.10 | ((X5) != (unordered_quadruple @ X4 @ X3 @ X2 @ X1)))),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.31/2.10 thf(zip_derived_cl7, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.31/2.10 (((X1) != (X0)) | ~ (zip_tseitin_0 @ X1 @ X2 @ X3 @ X0 @ X4))),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.31/2.10 thf(zip_derived_cl224, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.31/2.10 (((X5) != (unordered_quadruple @ X0 @ X1 @ X2 @ X3))
% 10.31/2.10 | (in @ X4 @ X5)
% 10.31/2.10 | ((X4) != (X1)))),
% 10.31/2.10 inference('dp-resolution', [status(thm)],
% 10.31/2.10 [zip_derived_cl11, zip_derived_cl7])).
% 10.31/2.10 thf(zip_derived_cl302, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.31/2.10 ( (in @ X1 @ X0) | ((X0) != (unordered_quadruple @ X4 @ X1 @ X3 @ X2)))),
% 10.31/2.10 inference('eq_res', [status(thm)], [zip_derived_cl224])).
% 10.31/2.10 thf(zip_derived_cl308, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.31/2.10 (in @ X2 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0))),
% 10.31/2.10 inference('eq_res', [status(thm)], [zip_derived_cl302])).
% 10.31/2.10 thf(zip_derived_cl1599, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.31/2.10 (((sk__16 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0)) = (X2))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0)) = (X1))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0)) = (X0))
% 10.31/2.10 | ~ (in @ X2 @ X3))),
% 10.31/2.10 inference('sup+', [status(thm)], [zip_derived_cl1273, zip_derived_cl308])).
% 10.31/2.10 thf(zip_derived_cl1626, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i]:
% 10.31/2.10 (((sk__16 @ (unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0)) = (X0))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0))
% 10.31/2.10 = (X1))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0))
% 10.31/2.10 = (sk__12)))),
% 10.31/2.10 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl1599])).
% 10.31/2.10 thf(zip_derived_cl276, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i]: (~ (in @ X1 @ (sk__16 @ X0)) | ~ (in @ X1 @ X0))),
% 10.31/2.10 inference('condensation', [status(thm)], [zip_derived_cl53])).
% 10.31/2.10 thf(zip_derived_cl1636, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.31/2.10 (~ (in @ X2 @ X0)
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0))
% 10.31/2.10 = (sk__12))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0))
% 10.31/2.10 = (X1))
% 10.31/2.10 | ~ (in @ X2 @ (unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0)))),
% 10.31/2.10 inference('sup-', [status(thm)], [zip_derived_cl1626, zip_derived_cl276])).
% 10.31/2.10 thf(zip_derived_cl11, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.31/2.10 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.31/2.10 | (in @ X0 @ X5)
% 10.31/2.10 | ((X5) != (unordered_quadruple @ X4 @ X3 @ X2 @ X1)))),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.31/2.10 thf(zip_derived_cl8, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.31/2.10 (((X1) != (X0)) | ~ (zip_tseitin_0 @ X1 @ X2 @ X0 @ X3 @ X4))),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.31/2.10 thf(zip_derived_cl225, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.31/2.10 (((X5) != (unordered_quadruple @ X0 @ X1 @ X2 @ X3))
% 10.31/2.10 | (in @ X4 @ X5)
% 10.31/2.10 | ((X4) != (X2)))),
% 10.31/2.10 inference('dp-resolution', [status(thm)],
% 10.31/2.10 [zip_derived_cl11, zip_derived_cl8])).
% 10.31/2.10 thf(zip_derived_cl303, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.31/2.10 ( (in @ X1 @ X0) | ((X0) != (unordered_quadruple @ X4 @ X3 @ X1 @ X2)))),
% 10.31/2.10 inference('eq_res', [status(thm)], [zip_derived_cl225])).
% 10.31/2.10 thf(zip_derived_cl309, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.31/2.10 (in @ X1 @ (unordered_quadruple @ X3 @ X2 @ X1 @ X0))),
% 10.31/2.10 inference('eq_res', [status(thm)], [zip_derived_cl303])).
% 10.31/2.10 thf(zip_derived_cl8202, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i]:
% 10.31/2.10 (((sk__16 @ (unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0)) = (X1))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0))
% 10.31/2.10 = (sk__12))
% 10.31/2.10 | ~ (in @ X1 @ X0))),
% 10.31/2.10 inference('sup+', [status(thm)], [zip_derived_cl1636, zip_derived_cl309])).
% 10.31/2.10 thf(zip_derived_cl8230, plain,
% 10.31/2.10 ((((sk__16 @ (unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15))
% 10.31/2.10 = (sk__12))
% 10.31/2.10 | ((sk__16 @ (unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15))
% 10.31/2.10 = (sk__14)))),
% 10.31/2.10 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl8202])).
% 10.31/2.10 thf(zip_derived_cl276, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i]: (~ (in @ X1 @ (sk__16 @ X0)) | ~ (in @ X1 @ X0))),
% 10.31/2.10 inference('condensation', [status(thm)], [zip_derived_cl53])).
% 10.31/2.10 thf(zip_derived_cl8485, plain,
% 10.31/2.10 (![X0 : $i]:
% 10.31/2.10 (~ (in @ X0 @ sk__14)
% 10.31/2.10 | ((sk__16 @
% 10.31/2.10 (unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15))
% 10.31/2.10 = (sk__12))
% 10.31/2.10 | ~ (in @ X0 @
% 10.31/2.10 (unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15)))),
% 10.31/2.10 inference('sup-', [status(thm)], [zip_derived_cl8230, zip_derived_cl276])).
% 10.31/2.10 thf(zip_derived_cl8527, plain,
% 10.31/2.10 ((((sk__16 @ (unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15))
% 10.31/2.10 = (sk__12))
% 10.31/2.10 | ~ (in @ sk__13 @ sk__14))),
% 10.31/2.10 inference('sup-', [status(thm)], [zip_derived_cl307, zip_derived_cl8485])).
% 10.31/2.10 thf(zip_derived_cl48, plain, ( (in @ sk__13 @ sk__14)),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.31/2.10 thf(zip_derived_cl8535, plain,
% 10.31/2.10 (((sk__16 @ (unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15))
% 10.31/2.10 = (sk__12))),
% 10.31/2.10 inference('demod', [status(thm)], [zip_derived_cl8527, zip_derived_cl48])).
% 10.31/2.10 thf(zip_derived_cl276, plain,
% 10.31/2.10 (![X0 : $i, X1 : $i]: (~ (in @ X1 @ (sk__16 @ X0)) | ~ (in @ X1 @ X0))),
% 10.31/2.10 inference('condensation', [status(thm)], [zip_derived_cl53])).
% 10.31/2.10 thf(zip_derived_cl8545, plain,
% 10.31/2.10 (![X0 : $i]:
% 10.31/2.10 (~ (in @ X0 @ sk__12)
% 10.31/2.10 | ~ (in @ X0 @
% 10.31/2.10 (unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15)))),
% 10.31/2.10 inference('sup-', [status(thm)], [zip_derived_cl8535, zip_derived_cl276])).
% 10.31/2.10 thf(zip_derived_cl8592, plain, (~ (in @ sk__15 @ sk__12)),
% 10.31/2.10 inference('sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl8545])).
% 10.31/2.10 thf(zip_derived_cl47, plain, ( (in @ sk__15 @ sk__12)),
% 10.31/2.10 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.31/2.10 thf(zip_derived_cl8597, plain, ($false),
% 10.31/2.10 inference('demod', [status(thm)], [zip_derived_cl8592, zip_derived_cl47])).
% 10.31/2.10
% 10.31/2.10 % SZS output end Refutation
% 10.31/2.10
% 10.31/2.10
% 10.31/2.10 % Terminating...
% 10.86/2.15 % Runner terminated.
% 10.86/2.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------