TSTP Solution File: GRP025-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP025-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Hxql3VKjw6 true
% Computer : n023.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 Aug 31 01:49:34 EDT 2023
% Result : Unsatisfiable 0.54s 0.80s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP025-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Hxql3VKjw6 true
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 20:10:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.48/0.62 % Total configuration time : 435
% 0.48/0.62 % Estimated wc time : 1092
% 0.48/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.80 % Solved by fo/fo7.sh.
% 0.54/0.80 % done 136 iterations in 0.049s
% 0.54/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.80 % SZS output start Refutation
% 0.54/0.80 thf(d2_type, type, d2: $i).
% 0.54/0.80 thf(b_type, type, b: $i).
% 0.54/0.80 thf(d_type, type, d: $i).
% 0.54/0.80 thf(g2_type, type, g2: $i).
% 0.54/0.80 thf(c_type, type, c: $i).
% 0.54/0.80 thf(g1_type, type, g1: $i).
% 0.54/0.80 thf(group_member_type, type, group_member: $i > $i > $o).
% 0.54/0.80 thf(d1_type, type, d1: $i).
% 0.54/0.80 thf(d3_type, type, d3: $i).
% 0.54/0.80 thf(an_isomorphism_type, type, an_isomorphism: $i > $i).
% 0.54/0.80 thf(a_type, type, a: $i).
% 0.54/0.80 thf(product_type, type, product: $i > $i > $i > $i > $o).
% 0.54/0.80 thf(prove_product_holds_in_group2, conjecture,
% 0.54/0.80 (product @
% 0.54/0.80 g2 @ ( an_isomorphism @ d1 ) @ ( an_isomorphism @ d2 ) @
% 0.54/0.80 ( an_isomorphism @ d3 ))).
% 0.54/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.80 (~( product @
% 0.54/0.80 g2 @ ( an_isomorphism @ d1 ) @ ( an_isomorphism @ d2 ) @
% 0.54/0.80 ( an_isomorphism @ d3 ) )),
% 0.54/0.80 inference('cnf.neg', [status(esa)], [prove_product_holds_in_group2])).
% 0.54/0.80 thf(zip_derived_cl31, plain,
% 0.54/0.80 (~ (product @ g2 @ (an_isomorphism @ d1) @ (an_isomorphism @ d2) @
% 0.54/0.80 (an_isomorphism @ d3))),
% 0.54/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.80 thf(d1_member_of_group1, axiom, (group_member @ d1 @ g1)).
% 0.54/0.80 thf(zip_derived_cl27, plain, ( (group_member @ d1 @ g1)),
% 0.54/0.80 inference('cnf', [status(esa)], [d1_member_of_group1])).
% 0.54/0.80 thf(a_and_b_only_members_of_group1, axiom,
% 0.54/0.80 (( ~( group_member @ X @ g1 ) ) | ( ( X ) = ( a ) ) | ( ( X ) = ( b ) ))).
% 0.54/0.80 thf(zip_derived_cl15, plain,
% 0.54/0.80 (![X0 : $i]: (~ (group_member @ X0 @ g1) | ((X0) = (a)) | ((X0) = (b)))),
% 0.54/0.80 inference('cnf', [status(esa)], [a_and_b_only_members_of_group1])).
% 0.54/0.80 thf(zip_derived_cl39, plain, ((((d1) = (b)) | ((d1) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl15])).
% 0.54/0.80 thf(d2_member_of_group1, axiom, (group_member @ d2 @ g1)).
% 0.54/0.80 thf(zip_derived_cl28, plain, ( (group_member @ d2 @ g1)),
% 0.54/0.80 inference('cnf', [status(esa)], [d2_member_of_group1])).
% 0.54/0.80 thf(zip_derived_cl15, plain,
% 0.54/0.80 (![X0 : $i]: (~ (group_member @ X0 @ g1) | ((X0) = (a)) | ((X0) = (b)))),
% 0.54/0.80 inference('cnf', [status(esa)], [a_and_b_only_members_of_group1])).
% 0.54/0.80 thf(zip_derived_cl45, plain, ((((d2) = (b)) | ((d2) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl15])).
% 0.54/0.80 thf(d1_times_d2_is_d3, axiom, (product @ g1 @ d1 @ d2 @ d3)).
% 0.54/0.80 thf(zip_derived_cl30, plain, ( (product @ g1 @ d1 @ d2 @ d3)),
% 0.54/0.80 inference('cnf', [status(esa)], [d1_times_d2_is_d3])).
% 0.54/0.80 thf(zip_derived_cl63, plain,
% 0.54/0.80 (( (product @ g1 @ d1 @ b @ d3) | ((d2) = (a)))),
% 0.54/0.80 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl30])).
% 0.54/0.80 thf(zip_derived_cl132, plain,
% 0.54/0.80 (( (product @ g1 @ b @ b @ d3) | ((d1) = (a)) | ((d2) = (a)))),
% 0.54/0.80 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl63])).
% 0.54/0.80 thf(b_times_b_is_a, axiom, (product @ g1 @ b @ b @ a)).
% 0.54/0.80 thf(zip_derived_cl20, plain, ( (product @ g1 @ b @ b @ a)),
% 0.54/0.80 inference('cnf', [status(esa)], [b_times_b_is_a])).
% 0.54/0.80 thf(total_function2, axiom,
% 0.54/0.80 (( ~( product @ Xg @ X @ Y @ Z ) ) | ( ~( product @ Xg @ X @ Y @ W ) ) |
% 0.54/0.80 ( ( W ) = ( Z ) ))).
% 0.54/0.80 thf(zip_derived_cl8, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.80 (~ (product @ X0 @ X1 @ X2 @ X3)
% 0.54/0.80 | ~ (product @ X0 @ X1 @ X2 @ X4)
% 0.54/0.80 | ((X4) = (X3)))),
% 0.54/0.80 inference('cnf', [status(esa)], [total_function2])).
% 0.54/0.80 thf(zip_derived_cl91, plain,
% 0.54/0.80 (![X0 : $i]: (((X0) = (a)) | ~ (product @ g1 @ b @ b @ X0))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl8])).
% 0.54/0.80 thf(zip_derived_cl209, plain, ((((d2) = (a)) | ((d1) = (a)) | ((d3) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl91])).
% 0.54/0.80 thf(zip_derived_cl45, plain, ((((d2) = (b)) | ((d2) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl15])).
% 0.54/0.80 thf(zip_derived_cl39, plain, ((((d1) = (b)) | ((d1) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl15])).
% 0.54/0.80 thf(zip_derived_cl31, plain,
% 0.54/0.80 (~ (product @ g2 @ (an_isomorphism @ d1) @ (an_isomorphism @ d2) @
% 0.54/0.80 (an_isomorphism @ d3))),
% 0.54/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.80 thf(zip_derived_cl41, plain,
% 0.54/0.80 ((~ (product @ g2 @ (an_isomorphism @ b) @ (an_isomorphism @ d2) @
% 0.54/0.80 (an_isomorphism @ d3))
% 0.54/0.80 | ((d1) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl31])).
% 0.54/0.80 thf(b_maps_to_d, axiom, (( an_isomorphism @ b ) = ( d ))).
% 0.54/0.80 thf(zip_derived_cl26, plain, (((an_isomorphism @ b) = (d))),
% 0.54/0.80 inference('cnf', [status(esa)], [b_maps_to_d])).
% 0.54/0.80 thf(zip_derived_cl44, plain,
% 0.54/0.80 ((~ (product @ g2 @ d @ (an_isomorphism @ d2) @ (an_isomorphism @ d3))
% 0.54/0.80 | ((d1) = (a)))),
% 0.54/0.80 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl26])).
% 0.54/0.80 thf(zip_derived_cl48, plain,
% 0.54/0.80 ((~ (product @ g2 @ d @ (an_isomorphism @ b) @ (an_isomorphism @ d3))
% 0.54/0.80 | ((d2) = (a))
% 0.54/0.80 | ((d1) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl44])).
% 0.54/0.80 thf(zip_derived_cl26, plain, (((an_isomorphism @ b) = (d))),
% 0.54/0.80 inference('cnf', [status(esa)], [b_maps_to_d])).
% 0.54/0.80 thf(zip_derived_cl52, plain,
% 0.54/0.80 ((~ (product @ g2 @ d @ d @ (an_isomorphism @ d3))
% 0.54/0.80 | ((d2) = (a))
% 0.54/0.80 | ((d1) = (a)))),
% 0.54/0.80 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl26])).
% 0.54/0.80 thf(zip_derived_cl226, plain,
% 0.54/0.80 ((~ (product @ g2 @ d @ d @ (an_isomorphism @ a))
% 0.54/0.80 | ((d1) = (a))
% 0.54/0.80 | ((d2) = (a))
% 0.54/0.80 | ((d1) = (a))
% 0.54/0.80 | ((d2) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl209, zip_derived_cl52])).
% 0.54/0.80 thf(a_maps_to_c, axiom, (( an_isomorphism @ a ) = ( c ))).
% 0.54/0.80 thf(zip_derived_cl25, plain, (((an_isomorphism @ a) = (c))),
% 0.54/0.80 inference('cnf', [status(esa)], [a_maps_to_c])).
% 0.54/0.80 thf(d_times_d_is_c, axiom, (product @ g2 @ d @ d @ c)).
% 0.54/0.80 thf(zip_derived_cl24, plain, ( (product @ g2 @ d @ d @ c)),
% 0.54/0.80 inference('cnf', [status(esa)], [d_times_d_is_c])).
% 0.54/0.80 thf(zip_derived_cl237, plain,
% 0.54/0.80 ((((d1) = (a)) | ((d2) = (a)) | ((d1) = (a)) | ((d2) = (a)))),
% 0.54/0.80 inference('demod', [status(thm)],
% 0.54/0.80 [zip_derived_cl226, zip_derived_cl25, zip_derived_cl24])).
% 0.54/0.80 thf(zip_derived_cl238, plain, ((((d2) = (a)) | ((d1) = (a)))),
% 0.54/0.80 inference('simplify', [status(thm)], [zip_derived_cl237])).
% 0.54/0.80 thf(zip_derived_cl39, plain, ((((d1) = (b)) | ((d1) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl15])).
% 0.54/0.80 thf(zip_derived_cl30, plain, ( (product @ g1 @ d1 @ d2 @ d3)),
% 0.54/0.80 inference('cnf', [status(esa)], [d1_times_d2_is_d3])).
% 0.54/0.80 thf(zip_derived_cl64, plain,
% 0.54/0.80 (( (product @ g1 @ b @ d2 @ d3) | ((d1) = (a)))),
% 0.54/0.80 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl30])).
% 0.54/0.80 thf(zip_derived_cl251, plain,
% 0.54/0.80 (( (product @ g1 @ b @ a @ d3) | ((d1) = (a)) | ((d1) = (a)))),
% 0.54/0.80 inference('sup+', [status(thm)], [zip_derived_cl238, zip_derived_cl64])).
% 0.54/0.80 thf(zip_derived_cl260, plain,
% 0.54/0.80 ((((d1) = (a)) | (product @ g1 @ b @ a @ d3))),
% 0.54/0.80 inference('simplify', [status(thm)], [zip_derived_cl251])).
% 0.54/0.80 thf(b_times_a_is_b, axiom, (product @ g1 @ b @ a @ b)).
% 0.54/0.80 thf(zip_derived_cl19, plain, ( (product @ g1 @ b @ a @ b)),
% 0.54/0.80 inference('cnf', [status(esa)], [b_times_a_is_b])).
% 0.54/0.80 thf(zip_derived_cl8, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.80 (~ (product @ X0 @ X1 @ X2 @ X3)
% 0.54/0.80 | ~ (product @ X0 @ X1 @ X2 @ X4)
% 0.54/0.80 | ((X4) = (X3)))),
% 0.54/0.80 inference('cnf', [status(esa)], [total_function2])).
% 0.54/0.80 thf(zip_derived_cl88, plain,
% 0.54/0.80 (![X0 : $i]: (((X0) = (b)) | ~ (product @ g1 @ b @ a @ X0))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl8])).
% 0.54/0.80 thf(zip_derived_cl321, plain, ((((d1) = (a)) | ((d3) = (b)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl260, zip_derived_cl88])).
% 0.54/0.80 thf(zip_derived_cl238, plain, ((((d2) = (a)) | ((d1) = (a)))),
% 0.54/0.80 inference('simplify', [status(thm)], [zip_derived_cl237])).
% 0.54/0.80 thf(zip_derived_cl44, plain,
% 0.54/0.80 ((~ (product @ g2 @ d @ (an_isomorphism @ d2) @ (an_isomorphism @ d3))
% 0.54/0.80 | ((d1) = (a)))),
% 0.54/0.80 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl26])).
% 0.54/0.80 thf(zip_derived_cl246, plain,
% 0.54/0.80 ((~ (product @ g2 @ d @ (an_isomorphism @ a) @ (an_isomorphism @ d3))
% 0.54/0.80 | ((d1) = (a))
% 0.54/0.80 | ((d1) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl238, zip_derived_cl44])).
% 0.54/0.80 thf(zip_derived_cl25, plain, (((an_isomorphism @ a) = (c))),
% 0.54/0.80 inference('cnf', [status(esa)], [a_maps_to_c])).
% 0.54/0.80 thf(zip_derived_cl255, plain,
% 0.54/0.80 ((~ (product @ g2 @ d @ c @ (an_isomorphism @ d3))
% 0.54/0.80 | ((d1) = (a))
% 0.54/0.80 | ((d1) = (a)))),
% 0.54/0.80 inference('demod', [status(thm)], [zip_derived_cl246, zip_derived_cl25])).
% 0.54/0.80 thf(zip_derived_cl256, plain,
% 0.54/0.80 ((((d1) = (a)) | ~ (product @ g2 @ d @ c @ (an_isomorphism @ d3)))),
% 0.54/0.80 inference('simplify', [status(thm)], [zip_derived_cl255])).
% 0.54/0.80 thf(zip_derived_cl339, plain,
% 0.54/0.80 ((~ (product @ g2 @ d @ c @ (an_isomorphism @ b))
% 0.54/0.80 | ((d1) = (a))
% 0.54/0.80 | ((d1) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl321, zip_derived_cl256])).
% 0.54/0.80 thf(zip_derived_cl26, plain, (((an_isomorphism @ b) = (d))),
% 0.54/0.80 inference('cnf', [status(esa)], [b_maps_to_d])).
% 0.54/0.80 thf(d_times_c_is_d, axiom, (product @ g2 @ d @ c @ d)).
% 0.54/0.80 thf(zip_derived_cl23, plain, ( (product @ g2 @ d @ c @ d)),
% 0.54/0.80 inference('cnf', [status(esa)], [d_times_c_is_d])).
% 0.54/0.80 thf(zip_derived_cl350, plain, ((((d1) = (a)) | ((d1) = (a)))),
% 0.54/0.80 inference('demod', [status(thm)],
% 0.54/0.80 [zip_derived_cl339, zip_derived_cl26, zip_derived_cl23])).
% 0.54/0.80 thf(zip_derived_cl351, plain, (((d1) = (a))),
% 0.54/0.80 inference('simplify', [status(thm)], [zip_derived_cl350])).
% 0.54/0.80 thf(zip_derived_cl25, plain, (((an_isomorphism @ a) = (c))),
% 0.54/0.80 inference('cnf', [status(esa)], [a_maps_to_c])).
% 0.54/0.80 thf(zip_derived_cl357, plain,
% 0.54/0.80 (~ (product @ g2 @ c @ (an_isomorphism @ d2) @ (an_isomorphism @ d3))),
% 0.54/0.80 inference('demod', [status(thm)],
% 0.54/0.80 [zip_derived_cl31, zip_derived_cl351, zip_derived_cl25])).
% 0.54/0.80 thf(zip_derived_cl63, plain,
% 0.54/0.80 (( (product @ g1 @ d1 @ b @ d3) | ((d2) = (a)))),
% 0.54/0.80 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl30])).
% 0.54/0.80 thf(zip_derived_cl351, plain, (((d1) = (a))),
% 0.54/0.80 inference('simplify', [status(thm)], [zip_derived_cl350])).
% 0.54/0.80 thf(zip_derived_cl362, plain,
% 0.54/0.80 (( (product @ g1 @ a @ b @ d3) | ((d2) = (a)))),
% 0.54/0.80 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl351])).
% 0.54/0.80 thf(a_times_b_is_b, axiom, (product @ g1 @ a @ b @ b)).
% 0.54/0.80 thf(zip_derived_cl18, plain, ( (product @ g1 @ a @ b @ b)),
% 0.54/0.80 inference('cnf', [status(esa)], [a_times_b_is_b])).
% 0.54/0.80 thf(zip_derived_cl8, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.80 (~ (product @ X0 @ X1 @ X2 @ X3)
% 0.54/0.80 | ~ (product @ X0 @ X1 @ X2 @ X4)
% 0.54/0.80 | ((X4) = (X3)))),
% 0.54/0.80 inference('cnf', [status(esa)], [total_function2])).
% 0.54/0.80 thf(zip_derived_cl73, plain,
% 0.54/0.80 (![X0 : $i]: (((X0) = (b)) | ~ (product @ g1 @ a @ b @ X0))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl8])).
% 0.54/0.80 thf(zip_derived_cl424, plain, ((((d2) = (a)) | ((d3) = (b)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl362, zip_derived_cl73])).
% 0.54/0.80 thf(zip_derived_cl45, plain, ((((d2) = (b)) | ((d2) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl15])).
% 0.54/0.80 thf(zip_derived_cl31, plain,
% 0.54/0.80 (~ (product @ g2 @ (an_isomorphism @ d1) @ (an_isomorphism @ d2) @
% 0.54/0.80 (an_isomorphism @ d3))),
% 0.54/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.80 thf(zip_derived_cl47, plain,
% 0.54/0.80 ((~ (product @ g2 @ (an_isomorphism @ d1) @ (an_isomorphism @ b) @
% 0.54/0.80 (an_isomorphism @ d3))
% 0.54/0.80 | ((d2) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl31])).
% 0.54/0.80 thf(zip_derived_cl26, plain, (((an_isomorphism @ b) = (d))),
% 0.54/0.80 inference('cnf', [status(esa)], [b_maps_to_d])).
% 0.54/0.80 thf(zip_derived_cl51, plain,
% 0.54/0.80 ((~ (product @ g2 @ (an_isomorphism @ d1) @ d @ (an_isomorphism @ d3))
% 0.54/0.80 | ((d2) = (a)))),
% 0.54/0.80 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl26])).
% 0.54/0.80 thf(zip_derived_cl351, plain, (((d1) = (a))),
% 0.54/0.80 inference('simplify', [status(thm)], [zip_derived_cl350])).
% 0.54/0.80 thf(zip_derived_cl25, plain, (((an_isomorphism @ a) = (c))),
% 0.54/0.80 inference('cnf', [status(esa)], [a_maps_to_c])).
% 0.54/0.80 thf(zip_derived_cl358, plain,
% 0.54/0.80 ((~ (product @ g2 @ c @ d @ (an_isomorphism @ d3)) | ((d2) = (a)))),
% 0.54/0.80 inference('demod', [status(thm)],
% 0.54/0.80 [zip_derived_cl51, zip_derived_cl351, zip_derived_cl25])).
% 0.54/0.80 thf(zip_derived_cl437, plain,
% 0.54/0.80 ((~ (product @ g2 @ c @ d @ (an_isomorphism @ b))
% 0.54/0.80 | ((d2) = (a))
% 0.54/0.80 | ((d2) = (a)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl424, zip_derived_cl358])).
% 0.54/0.80 thf(zip_derived_cl26, plain, (((an_isomorphism @ b) = (d))),
% 0.54/0.80 inference('cnf', [status(esa)], [b_maps_to_d])).
% 0.54/0.80 thf(c_times_d_is_d, axiom, (product @ g2 @ c @ d @ d)).
% 0.54/0.80 thf(zip_derived_cl22, plain, ( (product @ g2 @ c @ d @ d)),
% 0.54/0.80 inference('cnf', [status(esa)], [c_times_d_is_d])).
% 0.54/0.80 thf(zip_derived_cl443, plain, ((((d2) = (a)) | ((d2) = (a)))),
% 0.54/0.80 inference('demod', [status(thm)],
% 0.54/0.80 [zip_derived_cl437, zip_derived_cl26, zip_derived_cl22])).
% 0.54/0.80 thf(zip_derived_cl444, plain, (((d2) = (a))),
% 0.54/0.80 inference('simplify', [status(thm)], [zip_derived_cl443])).
% 0.54/0.80 thf(zip_derived_cl25, plain, (((an_isomorphism @ a) = (c))),
% 0.54/0.80 inference('cnf', [status(esa)], [a_maps_to_c])).
% 0.54/0.80 thf(zip_derived_cl450, plain,
% 0.54/0.80 (~ (product @ g2 @ c @ c @ (an_isomorphism @ d3))),
% 0.54/0.80 inference('demod', [status(thm)],
% 0.54/0.80 [zip_derived_cl357, zip_derived_cl444, zip_derived_cl25])).
% 0.54/0.80 thf(a_times_a_is_a, axiom, (product @ g1 @ a @ a @ a)).
% 0.54/0.80 thf(zip_derived_cl17, plain, ( (product @ g1 @ a @ a @ a)),
% 0.54/0.80 inference('cnf', [status(esa)], [a_times_a_is_a])).
% 0.54/0.80 thf(zip_derived_cl30, plain, ( (product @ g1 @ d1 @ d2 @ d3)),
% 0.54/0.80 inference('cnf', [status(esa)], [d1_times_d2_is_d3])).
% 0.54/0.80 thf(zip_derived_cl8, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.80 (~ (product @ X0 @ X1 @ X2 @ X3)
% 0.54/0.80 | ~ (product @ X0 @ X1 @ X2 @ X4)
% 0.54/0.80 | ((X4) = (X3)))),
% 0.54/0.80 inference('cnf', [status(esa)], [total_function2])).
% 0.54/0.80 thf(zip_derived_cl61, plain,
% 0.54/0.80 (![X0 : $i]: (((X0) = (d3)) | ~ (product @ g1 @ d1 @ d2 @ X0))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl8])).
% 0.54/0.80 thf(zip_derived_cl351, plain, (((d1) = (a))),
% 0.54/0.80 inference('simplify', [status(thm)], [zip_derived_cl350])).
% 0.54/0.80 thf(zip_derived_cl360, plain,
% 0.54/0.80 (![X0 : $i]: (((X0) = (d3)) | ~ (product @ g1 @ a @ d2 @ X0))),
% 0.54/0.80 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl351])).
% 0.54/0.80 thf(zip_derived_cl444, plain, (((d2) = (a))),
% 0.54/0.80 inference('simplify', [status(thm)], [zip_derived_cl443])).
% 0.54/0.80 thf(zip_derived_cl452, plain,
% 0.54/0.80 (![X0 : $i]: (((X0) = (d3)) | ~ (product @ g1 @ a @ a @ X0))),
% 0.54/0.80 inference('demod', [status(thm)], [zip_derived_cl360, zip_derived_cl444])).
% 0.54/0.80 thf(zip_derived_cl454, plain, (((a) = (d3))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl452])).
% 0.54/0.80 thf(zip_derived_cl25, plain, (((an_isomorphism @ a) = (c))),
% 0.54/0.80 inference('cnf', [status(esa)], [a_maps_to_c])).
% 0.54/0.80 thf(c_times_c_is_c, axiom, (product @ g2 @ c @ c @ c)).
% 0.54/0.80 thf(zip_derived_cl21, plain, ( (product @ g2 @ c @ c @ c)),
% 0.54/0.80 inference('cnf', [status(esa)], [c_times_c_is_c])).
% 0.54/0.80 thf(zip_derived_cl459, plain, ($false),
% 0.54/0.80 inference('demod', [status(thm)],
% 0.54/0.80 [zip_derived_cl450, zip_derived_cl454, zip_derived_cl25,
% 0.54/0.80 zip_derived_cl21])).
% 0.54/0.80
% 0.54/0.80 % SZS output end Refutation
% 0.54/0.80
% 0.54/0.80
% 0.54/0.80 % Terminating...
% 1.47/0.83 % Runner terminated.
% 1.47/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------