%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU221+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ciCYK1JQc1 true
% Computer : n026.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 72.70s 11.06s
% Output : Refutation 72.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU221+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ciCYK1JQc1 true
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 16:10:23 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.60/0.70 % Total configuration time : 435
% 0.60/0.70 % Estimated wc time : 1092
% 0.60/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 72.70/11.06 % Solved by fo/fo1_av.sh.
% 72.70/11.06 % done 5512 iterations in 10.267s
% 72.70/11.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 72.70/11.06 % SZS output start Refutation
% 72.70/11.06 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 72.70/11.06 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $o).
% 72.70/11.06 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 72.70/11.06 thf(relation_rng_type, type, relation_rng: $i > $i).
% 72.70/11.06 thf(function_type, type, function: $i > $o).
% 72.70/11.06 thf(in_type, type, in: $i > $i > $o).
% 72.70/11.06 thf(relation_composition_type, type, relation_composition: $i > $i > $i).
% 72.70/11.06 thf(sk__type, type, sk_: $i > $i).
% 72.70/11.06 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 72.70/11.06 thf(function_inverse_type, type, function_inverse: $i > $i).
% 72.70/11.06 thf(sk__1_type, type, sk__1: $i > $i).
% 72.70/11.06 thf(apply_type, type, apply: $i > $i > $i).
% 72.70/11.06 thf(relation_dom_type, type, relation_dom: $i > $i).
% 72.70/11.06 thf(relation_type, type, relation: $i > $o).
% 72.70/11.06 thf(sk__13_type, type, sk__13: $i).
% 72.70/11.06 thf(one_to_one_type, type, one_to_one: $i > $o).
% 72.70/11.06 thf(d8_funct_1, axiom,
% 72.70/11.06 (![A:$i]:
% 72.70/11.06 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 72.70/11.06 ( ( one_to_one @ A ) <=>
% 72.70/11.06 ( ![B:$i,C:$i]:
% 72.70/11.06 ( ( ( in @ B @ ( relation_dom @ A ) ) &
% 72.70/11.06 ( in @ C @ ( relation_dom @ A ) ) &
% 72.70/11.06 ( ( apply @ A @ B ) = ( apply @ A @ C ) ) ) =>
% 72.70/11.06 ( ( B ) = ( C ) ) ) ) ) ))).
% 72.70/11.06 thf(zip_derived_cl7, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (((apply @ X0 @ (sk_ @ X0)) = (apply @ X0 @ (sk__1 @ X0)))
% 72.70/11.06 | (one_to_one @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [d8_funct_1])).
% 72.70/11.06 thf(t57_funct_1, axiom,
% 72.70/11.06 (![A:$i,B:$i]:
% 72.70/11.06 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 72.70/11.06 ( ( ( one_to_one @ B ) & ( in @ A @ ( relation_rng @ B ) ) ) =>
% 72.70/11.06 ( ( ( A ) = ( apply @ B @ ( apply @ ( function_inverse @ B ) @ A ) ) ) &
% 72.70/11.06 ( ( A ) =
% 72.70/11.06 ( apply @
% 72.70/11.06 ( relation_composition @ ( function_inverse @ B ) @ B ) @ A ) ) ) ) ))).
% 72.70/11.06 thf(zip_derived_cl74, plain,
% 72.70/11.06 (![X0 : $i, X1 : $i]:
% 72.70/11.06 (~ (one_to_one @ X0)
% 72.70/11.06 | ~ (in @ X1 @ (relation_rng @ X0))
% 72.70/11.06 | ((X1) = (apply @ X0 @ (apply @ (function_inverse @ X0) @ X1)))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [t57_funct_1])).
% 72.70/11.06 thf(zip_derived_cl535, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (relation @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ (function_inverse @ X0))
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ~ (one_to_one @ X0)
% 72.70/11.06 | ~ (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | ((sk__1 @ (function_inverse @ X0))
% 72.70/11.06 = (apply @ X0 @
% 72.70/11.06 (apply @ (function_inverse @ X0) @
% 72.70/11.06 (sk_ @ (function_inverse @ X0)))))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl74])).
% 72.70/11.06 thf(dt_k2_funct_1, axiom,
% 72.70/11.06 (![A:$i]:
% 72.70/11.06 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 72.70/11.06 ( ( relation @ ( function_inverse @ A ) ) &
% 72.70/11.06 ( function @ ( function_inverse @ A ) ) ) ))).
% 72.70/11.06 thf(zip_derived_cl14, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (relation @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 72.70/11.06 thf(zip_derived_cl3029, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (relation @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ((sk__1 @ (function_inverse @ X0))
% 72.70/11.06 = (apply @ X0 @
% 72.70/11.06 (apply @ (function_inverse @ X0) @
% 72.70/11.06 (sk_ @ (function_inverse @ X0)))))
% 72.70/11.06 | ~ (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | ~ (one_to_one @ X0)
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ (function_inverse @ X0)))),
% 72.70/11.06 inference('clc', [status(thm)], [zip_derived_cl535, zip_derived_cl14])).
% 72.70/11.06 thf(zip_derived_cl15, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (function @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 72.70/11.06 thf(zip_derived_cl3030, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ~ (one_to_one @ X0)
% 72.70/11.06 | ~ (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | ((sk__1 @ (function_inverse @ X0))
% 72.70/11.06 = (apply @ X0 @
% 72.70/11.06 (apply @ (function_inverse @ X0) @
% 72.70/11.06 (sk_ @ (function_inverse @ X0)))))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('clc', [status(thm)], [zip_derived_cl3029, zip_derived_cl15])).
% 72.70/11.06 thf(zip_derived_cl74, plain,
% 72.70/11.06 (![X0 : $i, X1 : $i]:
% 72.70/11.06 (~ (one_to_one @ X0)
% 72.70/11.06 | ~ (in @ X1 @ (relation_rng @ X0))
% 72.70/11.06 | ((X1) = (apply @ X0 @ (apply @ (function_inverse @ X0) @ X1)))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [t57_funct_1])).
% 72.70/11.06 thf(zip_derived_cl3033, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (relation @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | ~ (one_to_one @ X0)
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ~ (one_to_one @ X0)
% 72.70/11.06 | ~ (in @ (sk_ @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | ((sk_ @ (function_inverse @ X0))
% 72.70/11.06 = (sk__1 @ (function_inverse @ X0)))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('s_sup+', [status(thm)], [zip_derived_cl3030, zip_derived_cl74])).
% 72.70/11.06 thf(zip_derived_cl3054, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (((sk_ @ (function_inverse @ X0)) = (sk__1 @ (function_inverse @ X0)))
% 72.70/11.06 | ~ (in @ (sk_ @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ~ (one_to_one @ X0)
% 72.70/11.06 | ~ (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('simplify', [status(thm)], [zip_derived_cl3033])).
% 72.70/11.06 thf(t54_funct_1, axiom,
% 72.70/11.06 (![A:$i]:
% 72.70/11.06 ( ( ( function @ A ) & ( relation @ A ) ) =>
% 72.70/11.06 ( ( one_to_one @ A ) =>
% 72.70/11.06 ( ![B:$i]:
% 72.70/11.06 ( ( ( function @ B ) & ( relation @ B ) ) =>
% 72.70/11.06 ( ( ( B ) = ( function_inverse @ A ) ) <=>
% 72.70/11.06 ( ( ![C:$i,D:$i]:
% 72.70/11.06 ( ( ( ( ( D ) = ( apply @ B @ C ) ) &
% 72.70/11.06 ( in @ C @ ( relation_rng @ A ) ) ) =>
% 72.70/11.06 ( ( ( C ) = ( apply @ A @ D ) ) &
% 72.70/11.06 ( in @ D @ ( relation_dom @ A ) ) ) ) &
% 72.70/11.06 ( ( ( ( C ) = ( apply @ A @ D ) ) &
% 72.70/11.06 ( in @ D @ ( relation_dom @ A ) ) ) =>
% 72.70/11.06 ( ( ( D ) = ( apply @ B @ C ) ) &
% 72.70/11.06 ( in @ C @ ( relation_rng @ A ) ) ) ) ) ) &
% 72.70/11.06 ( ( relation_dom @ B ) = ( relation_rng @ A ) ) ) ) ) ) ) ))).
% 72.70/11.06 thf(zf_stmt_0, type, zip_tseitin_3 : $i > $i > $i > $i > $o).
% 72.70/11.06 thf(zf_stmt_1, axiom,
% 72.70/11.06 (![D:$i,C:$i,B:$i,A:$i]:
% 72.70/11.06 ( ( zip_tseitin_3 @ D @ C @ B @ A ) <=>
% 72.70/11.06 ( ( zip_tseitin_2 @ D @ C @ A ) =>
% 72.70/11.06 ( ( in @ C @ ( relation_rng @ A ) ) & ( ( D ) = ( apply @ B @ C ) ) ) ) ))).
% 72.70/11.06 thf(zf_stmt_2, type, zip_tseitin_2 : $i > $i > $i > $o).
% 72.70/11.06 thf(zf_stmt_3, axiom,
% 72.70/11.06 (![D:$i,C:$i,A:$i]:
% 72.70/11.06 ( ( zip_tseitin_2 @ D @ C @ A ) <=>
% 72.70/11.06 ( ( in @ D @ ( relation_dom @ A ) ) & ( ( C ) = ( apply @ A @ D ) ) ) ))).
% 72.70/11.06 thf(zf_stmt_4, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 72.70/11.06 thf(zf_stmt_5, axiom,
% 72.70/11.06 (![D:$i,C:$i,B:$i,A:$i]:
% 72.70/11.06 ( ( zip_tseitin_1 @ D @ C @ B @ A ) <=>
% 72.70/11.06 ( ( zip_tseitin_0 @ D @ C @ B @ A ) =>
% 72.70/11.06 ( ( in @ D @ ( relation_dom @ A ) ) & ( ( C ) = ( apply @ A @ D ) ) ) ) ))).
% 72.70/11.06 thf(zf_stmt_6, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 72.70/11.06 thf(zf_stmt_7, axiom,
% 72.70/11.06 (![D:$i,C:$i,B:$i,A:$i]:
% 72.70/11.06 ( ( zip_tseitin_0 @ D @ C @ B @ A ) <=>
% 72.70/11.06 ( ( in @ C @ ( relation_rng @ A ) ) & ( ( D ) = ( apply @ B @ C ) ) ) ))).
% 72.70/11.06 thf(zf_stmt_8, axiom,
% 72.70/11.06 (![A:$i]:
% 72.70/11.06 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 72.70/11.06 ( ( one_to_one @ A ) =>
% 72.70/11.06 ( ![B:$i]:
% 72.70/11.06 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 72.70/11.06 ( ( ( B ) = ( function_inverse @ A ) ) <=>
% 72.70/11.06 ( ( ( relation_dom @ B ) = ( relation_rng @ A ) ) &
% 72.70/11.06 ( ![C:$i,D:$i]:
% 72.70/11.06 ( ( zip_tseitin_3 @ D @ C @ B @ A ) &
% 72.70/11.06 ( zip_tseitin_1 @ D @ C @ B @ A ) ) ) ) ) ) ) ) ))).
% 72.70/11.06 thf(zip_derived_cl70, plain,
% 72.70/11.06 (![X0 : $i, X1 : $i]:
% 72.70/11.06 (~ (one_to_one @ X0)
% 72.70/11.06 | ~ (relation @ X1)
% 72.70/11.06 | ~ (function @ X1)
% 72.70/11.06 | ((X1) != (function_inverse @ X0))
% 72.70/11.06 | ((relation_dom @ X1) = (relation_rng @ X0))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [zf_stmt_8])).
% 72.70/11.06 thf(zip_derived_cl506, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (relation @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ((relation_dom @ (function_inverse @ X0)) = (relation_rng @ X0))
% 72.70/11.06 | ~ (function @ (function_inverse @ X0))
% 72.70/11.06 | ~ (relation @ (function_inverse @ X0))
% 72.70/11.06 | ~ (one_to_one @ X0))),
% 72.70/11.06 inference('eq_res', [status(thm)], [zip_derived_cl70])).
% 72.70/11.06 thf(zip_derived_cl15, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (function @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 72.70/11.06 thf(zip_derived_cl779, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (one_to_one @ X0)
% 72.70/11.06 | ~ (relation @ (function_inverse @ X0))
% 72.70/11.06 | ((relation_dom @ (function_inverse @ X0)) = (relation_rng @ X0))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('clc', [status(thm)], [zip_derived_cl506, zip_derived_cl15])).
% 72.70/11.06 thf(zip_derived_cl14, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (relation @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 72.70/11.06 thf(zip_derived_cl780, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (relation @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ((relation_dom @ (function_inverse @ X0)) = (relation_rng @ X0))
% 72.70/11.06 | ~ (one_to_one @ X0))),
% 72.70/11.06 inference('clc', [status(thm)], [zip_derived_cl779, zip_derived_cl14])).
% 72.70/11.06 thf(zip_derived_cl9, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (in @ (sk_ @ X0) @ (relation_dom @ X0))
% 72.70/11.06 | (one_to_one @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [d8_funct_1])).
% 72.70/11.06 thf(zip_derived_cl782, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (one_to_one @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0)
% 72.70/11.06 | (in @ (sk_ @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ (function_inverse @ X0))
% 72.70/11.06 | ~ (relation @ (function_inverse @ X0)))),
% 72.70/11.06 inference('s_sup+', [status(thm)], [zip_derived_cl780, zip_derived_cl9])).
% 72.70/11.06 thf(zip_derived_cl15, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (function @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 72.70/11.06 thf(zip_derived_cl5617, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (relation @ (function_inverse @ X0))
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | (in @ (sk_ @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | ~ (relation @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (one_to_one @ X0))),
% 72.70/11.06 inference('clc', [status(thm)], [zip_derived_cl782, zip_derived_cl15])).
% 72.70/11.06 thf(zip_derived_cl14, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (relation @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 72.70/11.06 thf(zip_derived_cl5618, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (one_to_one @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0)
% 72.70/11.06 | (in @ (sk_ @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0)))),
% 72.70/11.06 inference('clc', [status(thm)], [zip_derived_cl5617, zip_derived_cl14])).
% 72.70/11.06 thf(zip_derived_cl49723, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (relation @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | ~ (one_to_one @ X0)
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ((sk_ @ (function_inverse @ X0))
% 72.70/11.06 = (sk__1 @ (function_inverse @ X0))))),
% 72.70/11.06 inference('clc', [status(thm)], [zip_derived_cl3054, zip_derived_cl5618])).
% 72.70/11.06 thf(zip_derived_cl780, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (relation @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ((relation_dom @ (function_inverse @ X0)) = (relation_rng @ X0))
% 72.70/11.06 | ~ (one_to_one @ X0))),
% 72.70/11.06 inference('clc', [status(thm)], [zip_derived_cl779, zip_derived_cl14])).
% 72.70/11.06 thf(zip_derived_cl8, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (in @ (sk__1 @ X0) @ (relation_dom @ X0))
% 72.70/11.06 | (one_to_one @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [d8_funct_1])).
% 72.70/11.06 thf(zip_derived_cl781, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (one_to_one @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0)
% 72.70/11.06 | (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ (function_inverse @ X0))
% 72.70/11.06 | ~ (relation @ (function_inverse @ X0)))),
% 72.70/11.06 inference('s_sup+', [status(thm)], [zip_derived_cl780, zip_derived_cl8])).
% 72.70/11.06 thf(zip_derived_cl15, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (function @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 72.70/11.06 thf(zip_derived_cl5404, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (relation @ (function_inverse @ X0))
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | ~ (relation @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (one_to_one @ X0))),
% 72.70/11.06 inference('clc', [status(thm)], [zip_derived_cl781, zip_derived_cl15])).
% 72.70/11.06 thf(zip_derived_cl14, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (relation @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 72.70/11.06 thf(zip_derived_cl5405, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (one_to_one @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0)
% 72.70/11.06 | (in @ (sk__1 @ (function_inverse @ X0)) @ (relation_rng @ X0))
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0)))),
% 72.70/11.06 inference('clc', [status(thm)], [zip_derived_cl5404, zip_derived_cl14])).
% 72.70/11.06 thf(zip_derived_cl49724, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (((sk_ @ (function_inverse @ X0)) = (sk__1 @ (function_inverse @ X0)))
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ~ (one_to_one @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('clc', [status(thm)], [zip_derived_cl49723, zip_derived_cl5405])).
% 72.70/11.06 thf(zip_derived_cl6, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (((sk_ @ X0) != (sk__1 @ X0))
% 72.70/11.06 | (one_to_one @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [d8_funct_1])).
% 72.70/11.06 thf(zip_derived_cl49725, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (relation @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (one_to_one @ X0)
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ((sk_ @ (function_inverse @ X0)) != (sk_ @ (function_inverse @ X0)))
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ (function_inverse @ X0))
% 72.70/11.06 | ~ (relation @ (function_inverse @ X0)))),
% 72.70/11.06 inference('s_sup-', [status(thm)], [zip_derived_cl49724, zip_derived_cl6])).
% 72.70/11.06 thf(zip_derived_cl49753, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (relation @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ (function_inverse @ X0))
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ~ (one_to_one @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('simplify', [status(thm)], [zip_derived_cl49725])).
% 72.70/11.06 thf(zip_derived_cl14, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (relation @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 72.70/11.06 thf(zip_derived_cl49769, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 (~ (relation @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (one_to_one @ X0)
% 72.70/11.06 | (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ (function_inverse @ X0)))),
% 72.70/11.06 inference('clc', [status(thm)], [zip_derived_cl49753, zip_derived_cl14])).
% 72.70/11.06 thf(zip_derived_cl15, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (function @ (function_inverse @ X0))
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 72.70/11.06 thf(zip_derived_cl49770, plain,
% 72.70/11.06 (![X0 : $i]:
% 72.70/11.06 ( (one_to_one @ (function_inverse @ X0))
% 72.70/11.06 | ~ (one_to_one @ X0)
% 72.70/11.06 | ~ (function @ X0)
% 72.70/11.06 | ~ (relation @ X0))),
% 72.70/11.06 inference('clc', [status(thm)], [zip_derived_cl49769, zip_derived_cl15])).
% 72.70/11.06 thf(t62_funct_1, conjecture,
% 72.70/11.06 (![A:$i]:
% 72.70/11.06 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 72.70/11.06 ( ( one_to_one @ A ) => ( one_to_one @ ( function_inverse @ A ) ) ) ))).
% 72.70/11.06 thf(zf_stmt_9, negated_conjecture,
% 72.70/11.06 (~( ![A:$i]:
% 72.70/11.06 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 72.70/11.06 ( ( one_to_one @ A ) => ( one_to_one @ ( function_inverse @ A ) ) ) ) )),
% 72.70/11.06 inference('cnf.neg', [status(esa)], [t62_funct_1])).
% 72.70/11.06 thf(zip_derived_cl78, plain, (~ (one_to_one @ (function_inverse @ sk__13))),
% 72.70/11.06 inference('cnf', [status(esa)], [zf_stmt_9])).
% 72.70/11.06 thf(zip_derived_cl49771, plain,
% 72.70/11.06 ((~ (relation @ sk__13) | ~ (function @ sk__13) | ~ (one_to_one @ sk__13))),
% 72.70/11.06 inference('s_sup-', [status(thm)],
% 72.70/11.06 [zip_derived_cl49770, zip_derived_cl78])).
% 72.70/11.06 thf(zip_derived_cl76, plain, ( (relation @ sk__13)),
% 72.70/11.06 inference('cnf', [status(esa)], [zf_stmt_9])).
% 72.70/11.06 thf(zip_derived_cl77, plain, ( (function @ sk__13)),
% 72.70/11.06 inference('cnf', [status(esa)], [zf_stmt_9])).
% 72.70/11.06 thf(zip_derived_cl79, plain, ( (one_to_one @ sk__13)),
% 72.70/11.06 inference('cnf', [status(esa)], [zf_stmt_9])).
% 72.70/11.06 thf(zip_derived_cl49793, plain, ($false),
% 72.70/11.06 inference('demod', [status(thm)],
% 72.70/11.06 [zip_derived_cl49771, zip_derived_cl76, zip_derived_cl77,
% 72.70/11.06 zip_derived_cl79])).
% 72.70/11.06
% 72.70/11.06 % SZS output end Refutation
% 72.70/11.06
% 72.70/11.06
% 72.70/11.06 % Terminating...
% 72.70/11.12 % Runner terminated.
% 72.70/11.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------