%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU221+3 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XCNdmKkoGY true
% Computer : n027.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 04:53:53 PM UTC 2025
% Result : Theorem 22.56s 4.70s
% Output : Refutation 22.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU221+3 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XCNdmKkoGY true
% 0.13/0.34 % Computer : n027.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 16:08:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 1.02/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.02/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.02/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.02/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.02/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.02/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 22.56/4.70 % Solved by fo/fo1_av.sh.
% 22.56/4.70 % done 2927 iterations in 3.840s
% 22.56/4.70 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 22.56/4.70 % SZS output start Refutation
% 22.56/4.70 thf(sk__15_type, type, sk__15: $i).
% 22.56/4.70 thf(sk__1_type, type, sk__1: $i > $i).
% 22.56/4.70 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 22.56/4.70 thf(function_type, type, function: $i > $o).
% 22.56/4.70 thf(sk__type, type, sk_: $i > $i).
% 22.56/4.70 thf(in_type, type, in: $i > $i > $o).
% 22.56/4.70 thf(relation_composition_type, type, relation_composition: $i > $i > $i).
% 22.56/4.70 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 22.56/4.70 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 22.56/4.70 thf(function_inverse_type, type, function_inverse: $i > $i).
% 22.56/4.70 thf(relation_rng_type, type, relation_rng: $i > $i).
% 22.56/4.70 thf(apply_type, type, apply: $i > $i > $i).
% 22.56/4.70 thf(relation_dom_type, type, relation_dom: $i > $i).
% 22.56/4.70 thf(relation_type, type, relation: $i > $o).
% 22.56/4.70 thf(one_to_one_type, type, one_to_one: $i > $o).
% 22.56/4.70 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $o).
% 22.56/4.70 thf(d8_funct_1, axiom,
% 22.56/4.70 (![A:$i]:
% 22.56/4.70 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 22.56/4.70 ( ( one_to_one @ A ) <=>
% 22.56/4.70 ( ![B:$i,C:$i]:
% 22.56/4.70 ( ( ( in @ B @ ( relation_dom @ A ) ) &
% 22.56/4.70 ( in @ C @ ( relation_dom @ A ) ) &
% 22.56/4.70 ( ( apply @ A @ B ) = ( apply @ A @ C ) ) ) =>
% 22.56/4.70 ( ( B ) = ( C ) ) ) ) ) ))).
% 22.56/4.70 thf(zip_derived_cl7, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (((apply @ X0 @ (sk_ @ X0)) = (apply @ X0 @ (sk__1 @ X0)))
% 22.56/4.70 | (one_to_one @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [d8_funct_1])).
% 22.56/4.70 thf(t57_funct_1, axiom,
% 22.56/4.70 (![A:$i,B:$i]:
% 22.56/4.70 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 22.56/4.70 ( ( ( one_to_one @ B ) & ( in @ A @ ( relation_rng @ B ) ) ) =>
% 22.56/4.70 ( ( ( A ) = ( apply @ B @ ( apply @ ( function_inverse @ B ) @ A ) ) ) &
% 22.56/4.70 ( ( A ) =
% 22.56/4.70 ( apply @
% 22.56/4.70 ( relation_composition @ ( function_inverse @ B ) @ B ) @ A ) ) ) ) ))).
% 22.56/4.70 thf(zip_derived_cl78, plain,
% 22.56/4.70 (![X0 : $i, X1 : $i]:
% 22.56/4.70 (~ (one_to_one @ X0)
% 22.56/4.70 | ~ (in @ X1 @ (relation_rng @ X0))
% 22.56/4.70 | ((X1) = (apply @ X0 @ (apply @ (function_inverse @ X0) @ X1)))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [t57_funct_1])).
% 22.56/4.70 thf(zip_derived_cl532, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (relation @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ (function_inverse @ X0))
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ~ (one_to_one @ X0)
% 22.56/4.70 | ~ (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | ((sk__1 @ (function_inverse @ X0))
% 22.56/4.70 = (apply @ X0 @
% 22.56/4.70 (apply @ (function_inverse @ X0) @
% 22.56/4.70 (sk_ @ (function_inverse @ X0)))))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl78])).
% 22.56/4.70 thf(dt_k2_funct_1, axiom,
% 22.56/4.70 (![A:$i]:
% 22.56/4.70 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 22.56/4.70 ( ( relation @ ( function_inverse @ A ) ) &
% 22.56/4.70 ( function @ ( function_inverse @ A ) ) ) ))).
% 22.56/4.70 thf(zip_derived_cl11, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (relation @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 22.56/4.70 thf(zip_derived_cl1822, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (relation @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ((sk__1 @ (function_inverse @ X0))
% 22.56/4.70 = (apply @ X0 @
% 22.56/4.70 (apply @ (function_inverse @ X0) @
% 22.56/4.70 (sk_ @ (function_inverse @ X0)))))
% 22.56/4.70 | ~ (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | ~ (one_to_one @ X0)
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ (function_inverse @ X0)))),
% 22.56/4.70 inference('clc', [status(thm)], [zip_derived_cl532, zip_derived_cl11])).
% 22.56/4.70 thf(zip_derived_cl12, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (function @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 22.56/4.70 thf(zip_derived_cl1823, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ~ (one_to_one @ X0)
% 22.56/4.70 | ~ (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | ((sk__1 @ (function_inverse @ X0))
% 22.56/4.70 = (apply @ X0 @
% 22.56/4.70 (apply @ (function_inverse @ X0) @
% 22.56/4.70 (sk_ @ (function_inverse @ X0)))))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('clc', [status(thm)], [zip_derived_cl1822, zip_derived_cl12])).
% 22.56/4.70 thf(zip_derived_cl78, plain,
% 22.56/4.70 (![X0 : $i, X1 : $i]:
% 22.56/4.70 (~ (one_to_one @ X0)
% 22.56/4.70 | ~ (in @ X1 @ (relation_rng @ X0))
% 22.56/4.70 | ((X1) = (apply @ X0 @ (apply @ (function_inverse @ X0) @ X1)))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [t57_funct_1])).
% 22.56/4.70 thf(zip_derived_cl1824, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (relation @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | ~ (one_to_one @ X0)
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ~ (one_to_one @ X0)
% 22.56/4.70 | ~ (in @ (sk_ @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | ((sk_ @ (function_inverse @ X0))
% 22.56/4.70 = (sk__1 @ (function_inverse @ X0)))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('s_sup+', [status(thm)], [zip_derived_cl1823, zip_derived_cl78])).
% 22.56/4.70 thf(zip_derived_cl1828, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (((sk_ @ (function_inverse @ X0)) = (sk__1 @ (function_inverse @ X0)))
% 22.56/4.70 | ~ (in @ (sk_ @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ~ (one_to_one @ X0)
% 22.56/4.70 | ~ (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('simplify', [status(thm)], [zip_derived_cl1824])).
% 22.56/4.70 thf(t54_funct_1, axiom,
% 22.56/4.70 (![A:$i]:
% 22.56/4.70 ( ( ( function @ A ) & ( relation @ A ) ) =>
% 22.56/4.70 ( ( one_to_one @ A ) =>
% 22.56/4.70 ( ![B:$i]:
% 22.56/4.70 ( ( ( function @ B ) & ( relation @ B ) ) =>
% 22.56/4.70 ( ( ( B ) = ( function_inverse @ A ) ) <=>
% 22.56/4.70 ( ( ![C:$i,D:$i]:
% 22.56/4.70 ( ( ( ( ( D ) = ( apply @ B @ C ) ) &
% 22.56/4.70 ( in @ C @ ( relation_rng @ A ) ) ) =>
% 22.56/4.70 ( ( ( C ) = ( apply @ A @ D ) ) &
% 22.56/4.70 ( in @ D @ ( relation_dom @ A ) ) ) ) &
% 22.56/4.70 ( ( ( ( C ) = ( apply @ A @ D ) ) &
% 22.56/4.70 ( in @ D @ ( relation_dom @ A ) ) ) =>
% 22.56/4.70 ( ( ( D ) = ( apply @ B @ C ) ) &
% 22.56/4.70 ( in @ C @ ( relation_rng @ A ) ) ) ) ) ) &
% 22.56/4.70 ( ( relation_dom @ B ) = ( relation_rng @ A ) ) ) ) ) ) ) ))).
% 22.56/4.70 thf(zf_stmt_0, type, zip_tseitin_3 : $i > $i > $i > $i > $o).
% 22.56/4.70 thf(zf_stmt_1, axiom,
% 22.56/4.70 (![D:$i,C:$i,B:$i,A:$i]:
% 22.56/4.70 ( ( zip_tseitin_3 @ D @ C @ B @ A ) <=>
% 22.56/4.70 ( ( zip_tseitin_2 @ D @ C @ A ) =>
% 22.56/4.70 ( ( in @ C @ ( relation_rng @ A ) ) & ( ( D ) = ( apply @ B @ C ) ) ) ) ))).
% 22.56/4.70 thf(zf_stmt_2, type, zip_tseitin_2 : $i > $i > $i > $o).
% 22.56/4.70 thf(zf_stmt_3, axiom,
% 22.56/4.70 (![D:$i,C:$i,A:$i]:
% 22.56/4.70 ( ( zip_tseitin_2 @ D @ C @ A ) <=>
% 22.56/4.70 ( ( in @ D @ ( relation_dom @ A ) ) & ( ( C ) = ( apply @ A @ D ) ) ) ))).
% 22.56/4.70 thf(zf_stmt_4, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 22.56/4.70 thf(zf_stmt_5, axiom,
% 22.56/4.70 (![D:$i,C:$i,B:$i,A:$i]:
% 22.56/4.70 ( ( zip_tseitin_1 @ D @ C @ B @ A ) <=>
% 22.56/4.70 ( ( zip_tseitin_0 @ D @ C @ B @ A ) =>
% 22.56/4.70 ( ( in @ D @ ( relation_dom @ A ) ) & ( ( C ) = ( apply @ A @ D ) ) ) ) ))).
% 22.56/4.70 thf(zf_stmt_6, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 22.56/4.70 thf(zf_stmt_7, axiom,
% 22.56/4.70 (![D:$i,C:$i,B:$i,A:$i]:
% 22.56/4.70 ( ( zip_tseitin_0 @ D @ C @ B @ A ) <=>
% 22.56/4.70 ( ( in @ C @ ( relation_rng @ A ) ) & ( ( D ) = ( apply @ B @ C ) ) ) ))).
% 22.56/4.70 thf(zf_stmt_8, axiom,
% 22.56/4.70 (![A:$i]:
% 22.56/4.70 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 22.56/4.70 ( ( one_to_one @ A ) =>
% 22.56/4.70 ( ![B:$i]:
% 22.56/4.70 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 22.56/4.70 ( ( ( B ) = ( function_inverse @ A ) ) <=>
% 22.56/4.70 ( ( ( relation_dom @ B ) = ( relation_rng @ A ) ) &
% 22.56/4.70 ( ![C:$i,D:$i]:
% 22.56/4.70 ( ( zip_tseitin_3 @ D @ C @ B @ A ) &
% 22.56/4.70 ( zip_tseitin_1 @ D @ C @ B @ A ) ) ) ) ) ) ) ) ))).
% 22.56/4.70 thf(zip_derived_cl74, plain,
% 22.56/4.70 (![X0 : $i, X1 : $i]:
% 22.56/4.70 (~ (one_to_one @ X0)
% 22.56/4.70 | ~ (relation @ X1)
% 22.56/4.70 | ~ (function @ X1)
% 22.56/4.70 | ((X1) != (function_inverse @ X0))
% 22.56/4.70 | ((relation_dom @ X1) = (relation_rng @ X0))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [zf_stmt_8])).
% 22.56/4.70 thf(zip_derived_cl483, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (relation @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ((relation_dom @ (function_inverse @ X0)) = (relation_rng @ X0))
% 22.56/4.70 | ~ (function @ (function_inverse @ X0))
% 22.56/4.70 | ~ (relation @ (function_inverse @ X0))
% 22.56/4.70 | ~ (one_to_one @ X0))),
% 22.56/4.70 inference('eq_res', [status(thm)], [zip_derived_cl74])).
% 22.56/4.70 thf(zip_derived_cl12, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (function @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 22.56/4.70 thf(zip_derived_cl1658, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (one_to_one @ X0)
% 22.56/4.70 | ~ (relation @ (function_inverse @ X0))
% 22.56/4.70 | ((relation_dom @ (function_inverse @ X0)) = (relation_rng @ X0))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('clc', [status(thm)], [zip_derived_cl483, zip_derived_cl12])).
% 22.56/4.70 thf(zip_derived_cl11, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (relation @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 22.56/4.70 thf(zip_derived_cl1659, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (relation @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ((relation_dom @ (function_inverse @ X0)) = (relation_rng @ X0))
% 22.56/4.70 | ~ (one_to_one @ X0))),
% 22.56/4.70 inference('clc', [status(thm)], [zip_derived_cl1658, zip_derived_cl11])).
% 22.56/4.70 thf(zip_derived_cl9, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (in @ (sk_ @ X0) @ (relation_dom @ X0))
% 22.56/4.70 | (one_to_one @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [d8_funct_1])).
% 22.56/4.70 thf(zip_derived_cl1661, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (one_to_one @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0)
% 22.56/4.70 | (in @ (sk_ @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ (function_inverse @ X0))
% 22.56/4.70 | ~ (relation @ (function_inverse @ X0)))),
% 22.56/4.70 inference('s_sup+', [status(thm)], [zip_derived_cl1659, zip_derived_cl9])).
% 22.56/4.70 thf(zip_derived_cl12, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (function @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 22.56/4.70 thf(zip_derived_cl16237, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (relation @ (function_inverse @ X0))
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | (in @ (sk_ @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | ~ (relation @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (one_to_one @ X0))),
% 22.56/4.70 inference('clc', [status(thm)], [zip_derived_cl1661, zip_derived_cl12])).
% 22.56/4.70 thf(zip_derived_cl11, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (relation @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 22.56/4.70 thf(zip_derived_cl16238, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (one_to_one @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0)
% 22.56/4.70 | (in @ (sk_ @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0)))),
% 22.56/4.70 inference('clc', [status(thm)], [zip_derived_cl16237, zip_derived_cl11])).
% 22.56/4.70 thf(zip_derived_cl20845, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (relation @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | ~ (one_to_one @ X0)
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ((sk_ @ (function_inverse @ X0))
% 22.56/4.70 = (sk__1 @ (function_inverse @ X0))))),
% 22.56/4.70 inference('clc', [status(thm)], [zip_derived_cl1828, zip_derived_cl16238])).
% 22.56/4.70 thf(zip_derived_cl1659, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (relation @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ((relation_dom @ (function_inverse @ X0)) = (relation_rng @ X0))
% 22.56/4.70 | ~ (one_to_one @ X0))),
% 22.56/4.70 inference('clc', [status(thm)], [zip_derived_cl1658, zip_derived_cl11])).
% 22.56/4.70 thf(zip_derived_cl8, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (in @ (sk__1 @ X0) @ (relation_dom @ X0))
% 22.56/4.70 | (one_to_one @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [d8_funct_1])).
% 22.56/4.70 thf(zip_derived_cl1660, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (one_to_one @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0)
% 22.56/4.70 | (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ (function_inverse @ X0))
% 22.56/4.70 | ~ (relation @ (function_inverse @ X0)))),
% 22.56/4.70 inference('s_sup+', [status(thm)], [zip_derived_cl1659, zip_derived_cl8])).
% 22.56/4.70 thf(zip_derived_cl12, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (function @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 22.56/4.70 thf(zip_derived_cl16185, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (relation @ (function_inverse @ X0))
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | ~ (relation @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (one_to_one @ X0))),
% 22.56/4.70 inference('clc', [status(thm)], [zip_derived_cl1660, zip_derived_cl12])).
% 22.56/4.70 thf(zip_derived_cl11, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (relation @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 22.56/4.70 thf(zip_derived_cl16186, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (one_to_one @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0)
% 22.56/4.70 | (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0)))),
% 22.56/4.70 inference('clc', [status(thm)], [zip_derived_cl16185, zip_derived_cl11])).
% 22.56/4.70 thf(zip_derived_cl20846, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (((sk_ @ (function_inverse @ X0)) = (sk__1 @ (function_inverse @ X0)))
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ~ (one_to_one @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('clc', [status(thm)],
% 22.56/4.70 [zip_derived_cl20845, zip_derived_cl16186])).
% 22.56/4.70 thf(zip_derived_cl6, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (((sk_ @ X0) != (sk__1 @ X0))
% 22.56/4.70 | (one_to_one @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [d8_funct_1])).
% 22.56/4.70 thf(zip_derived_cl20847, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (relation @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (one_to_one @ X0)
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ((sk_ @ (function_inverse @ X0)) != (sk_ @ (function_inverse @ X0)))
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ (function_inverse @ X0))
% 22.56/4.70 | ~ (relation @ (function_inverse @ X0)))),
% 22.56/4.70 inference('s_sup-', [status(thm)], [zip_derived_cl20846, zip_derived_cl6])).
% 22.56/4.70 thf(zip_derived_cl20862, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (relation @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ (function_inverse @ X0))
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ~ (one_to_one @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('simplify', [status(thm)], [zip_derived_cl20847])).
% 22.56/4.70 thf(zip_derived_cl11, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (relation @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 22.56/4.70 thf(zip_derived_cl20877, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 (~ (relation @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (one_to_one @ X0)
% 22.56/4.70 | (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ (function_inverse @ X0)))),
% 22.56/4.70 inference('clc', [status(thm)], [zip_derived_cl20862, zip_derived_cl11])).
% 22.56/4.70 thf(zip_derived_cl12, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (function @ (function_inverse @ X0))
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 22.56/4.70 thf(zip_derived_cl20878, plain,
% 22.56/4.70 (![X0 : $i]:
% 22.56/4.70 ( (one_to_one @ (function_inverse @ X0))
% 22.56/4.70 | ~ (one_to_one @ X0)
% 22.56/4.70 | ~ (function @ X0)
% 22.56/4.70 | ~ (relation @ X0))),
% 22.56/4.70 inference('clc', [status(thm)], [zip_derived_cl20877, zip_derived_cl12])).
% 22.56/4.70 thf(t62_funct_1, conjecture,
% 22.56/4.70 (![A:$i]:
% 22.56/4.70 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 22.56/4.70 ( ( one_to_one @ A ) => ( one_to_one @ ( function_inverse @ A ) ) ) ))).
% 22.56/4.70 thf(zf_stmt_9, negated_conjecture,
% 22.56/4.70 (~( ![A:$i]:
% 22.56/4.70 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 22.56/4.70 ( ( one_to_one @ A ) => ( one_to_one @ ( function_inverse @ A ) ) ) ) )),
% 22.56/4.70 inference('cnf.neg', [status(esa)], [t62_funct_1])).
% 22.56/4.70 thf(zip_derived_cl83, plain, (~ (one_to_one @ (function_inverse @ sk__15))),
% 22.56/4.70 inference('cnf', [status(esa)], [zf_stmt_9])).
% 22.56/4.70 thf(zip_derived_cl20879, plain,
% 22.56/4.70 ((~ (relation @ sk__15) | ~ (function @ sk__15) | ~ (one_to_one @ sk__15))),
% 22.56/4.70 inference('s_sup-', [status(thm)],
% 22.56/4.70 [zip_derived_cl20878, zip_derived_cl83])).
% 22.56/4.70 thf(zip_derived_cl81, plain, ( (relation @ sk__15)),
% 22.56/4.70 inference('cnf', [status(esa)], [zf_stmt_9])).
% 22.56/4.70 thf(zip_derived_cl82, plain, ( (function @ sk__15)),
% 22.56/4.70 inference('cnf', [status(esa)], [zf_stmt_9])).
% 22.56/4.70 thf(zip_derived_cl84, plain, ( (one_to_one @ sk__15)),
% 22.56/4.70 inference('cnf', [status(esa)], [zf_stmt_9])).
% 22.56/4.70 thf(zip_derived_cl20889, plain, ($false),
% 22.56/4.70 inference('demod', [status(thm)],
% 22.56/4.70 [zip_derived_cl20879, zip_derived_cl81, zip_derived_cl82,
% 22.56/4.70 zip_derived_cl84])).
% 22.56/4.70
% 22.56/4.70 % SZS output end Refutation
% 22.56/4.70
% 22.56/4.70
% 22.56/4.70 % Terminating...
% 23.55/4.87 % Runner terminated.
% 23.55/4.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------