%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP048-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FOhzJzN12x true
% Computer : n011.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 04:35:31 PM UTC 2025
% Result : Unsatisfiable 12.73s 2.66s
% Output : Refutation 12.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP048-2 : TPTP v9.2.0. Released v1.0.0.
% 0.03/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FOhzJzN12x true
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 14:22:38 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.46/0.60 % Total configuration time : 435
% 0.46/0.60 % Estimated wc time : 1092
% 0.46/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.73/2.66 % Solved by fo/fo7.sh.
% 12.73/2.66 % done 1536 iterations in 1.846s
% 12.73/2.66 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.73/2.66 % SZS output start Refutation
% 12.73/2.66 thf(product_type, type, product: $i > $i > $i > $o).
% 12.73/2.66 thf(inverse_type, type, inverse: $i > $i).
% 12.73/2.66 thf(equalish_type, type, equalish: $i > $i > $o).
% 12.73/2.66 thf(identity_type, type, identity: $i).
% 12.73/2.66 thf(multiply_type, type, multiply: $i > $i > $i).
% 12.73/2.66 thf(a_type, type, a: $i).
% 12.73/2.66 thf(b_type, type, b: $i).
% 12.73/2.66 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 12.73/2.66 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_identity])).
% 12.73/2.66 thf(total_function2, axiom,
% 12.73/2.66 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 12.73/2.66 ( equalish @ Z @ W ))).
% 12.73/2.66 thf(zip_derived_cl3, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.73/2.66 (~ (product @ X0 @ X1 @ X2)
% 12.73/2.66 | ~ (product @ X0 @ X1 @ X3)
% 12.73/2.66 | (equalish @ X2 @ X3))),
% 12.73/2.66 inference('cnf', [status(esa)], [total_function2])).
% 12.73/2.66 thf(zip_derived_cl10, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 ( (equalish @ X0 @ X1) | ~ (product @ identity @ X0 @ X1))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 12.73/2.66 thf(prove_inverse_substitution, conjecture,
% 12.73/2.66 (equalish @ ( inverse @ a ) @ ( inverse @ b ))).
% 12.73/2.66 thf(zf_stmt_0, negated_conjecture,
% 12.73/2.66 (~( equalish @ ( inverse @ a ) @ ( inverse @ b ) )),
% 12.73/2.66 inference('cnf.neg', [status(esa)], [prove_inverse_substitution])).
% 12.73/2.66 thf(zip_derived_cl8, plain, (~ (equalish @ (inverse @ a) @ (inverse @ b))),
% 12.73/2.66 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.73/2.66 thf(zip_derived_cl18, plain,
% 12.73/2.66 (~ (product @ identity @ (inverse @ a) @ (inverse @ b))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl8])).
% 12.73/2.66 thf(left_inverse, axiom, (product @ ( inverse @ X ) @ X @ identity)).
% 12.73/2.66 thf(zip_derived_cl1, plain,
% 12.73/2.66 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 12.73/2.66 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_identity])).
% 12.73/2.66 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_identity])).
% 12.73/2.66 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_identity])).
% 12.73/2.66 thf(zip_derived_cl1, plain,
% 12.73/2.66 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 12.73/2.66 thf(associativity1, axiom,
% 12.73/2.66 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 12.73/2.66 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 12.73/2.66 thf(zip_derived_cl4, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.73/2.66 (~ (product @ X0 @ X1 @ X2)
% 12.73/2.66 | ~ (product @ X1 @ X3 @ X4)
% 12.73/2.66 | ~ (product @ X2 @ X3 @ X5)
% 12.73/2.66 | (product @ X0 @ X4 @ X5))),
% 12.73/2.66 inference('cnf', [status(esa)], [associativity1])).
% 12.73/2.66 thf(zip_derived_cl66, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.73/2.66 ( (product @ (inverse @ X0) @ X2 @ X1)
% 12.73/2.66 | ~ (product @ identity @ X3 @ X1)
% 12.73/2.66 | ~ (product @ X0 @ X3 @ X2))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 12.73/2.66 thf(zip_derived_cl294, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 (~ (product @ identity @ X1 @ X0)
% 12.73/2.66 | (product @ (inverse @ identity) @ X0 @ X0))),
% 12.73/2.66 inference('eq_fact', [status(thm)], [zip_derived_cl66])).
% 12.73/2.66 thf(zip_derived_cl304, plain,
% 12.73/2.66 (![X0 : $i]: (product @ (inverse @ identity) @ X0 @ X0)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl294])).
% 12.73/2.66 thf(zip_derived_cl1, plain,
% 12.73/2.66 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 12.73/2.66 thf(associativity2, axiom,
% 12.73/2.66 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 12.73/2.66 ( ~( product @ X @ V @ W ) ) | ( product @ U @ Z @ W ))).
% 12.73/2.66 thf(zip_derived_cl5, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.73/2.66 (~ (product @ X0 @ X1 @ X2)
% 12.73/2.66 | ~ (product @ X1 @ X3 @ X4)
% 12.73/2.66 | ~ (product @ X0 @ X4 @ X5)
% 12.73/2.66 | (product @ X2 @ X3 @ X5))),
% 12.73/2.66 inference('cnf', [status(esa)], [associativity2])).
% 12.73/2.66 thf(zip_derived_cl489, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.73/2.66 ( (product @ X0 @ X3 @ X0)
% 12.73/2.66 | ~ (product @ X2 @ X1 @ X0)
% 12.73/2.66 | ~ (product @ X1 @ X3 @ X1))),
% 12.73/2.66 inference('eq_fact', [status(thm)], [zip_derived_cl5])).
% 12.73/2.66 thf(zip_derived_cl561, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 (~ (product @ X0 @ X1 @ X0) | (product @ identity @ X1 @ identity))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl489])).
% 12.73/2.66 thf(zip_derived_cl570, plain,
% 12.73/2.66 ( (product @ identity @ (inverse @ identity) @ identity)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl304, zip_derived_cl561])).
% 12.73/2.66 thf(zip_derived_cl3, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.73/2.66 (~ (product @ X0 @ X1 @ X2)
% 12.73/2.66 | ~ (product @ X0 @ X1 @ X3)
% 12.73/2.66 | (equalish @ X2 @ X3))),
% 12.73/2.66 inference('cnf', [status(esa)], [total_function2])).
% 12.73/2.66 thf(zip_derived_cl572, plain,
% 12.73/2.66 (![X0 : $i]:
% 12.73/2.66 ( (equalish @ identity @ X0)
% 12.73/2.66 | ~ (product @ identity @ (inverse @ identity) @ X0))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl570, zip_derived_cl3])).
% 12.73/2.66 thf(zip_derived_cl1, plain,
% 12.73/2.66 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 12.73/2.66 thf(product_substitution3, axiom,
% 12.73/2.66 (( ~( equalish @ X @ Y ) ) | ( ~( product @ W @ Z @ X ) ) |
% 12.73/2.66 ( product @ W @ Z @ Y ))).
% 12.73/2.66 thf(zip_derived_cl6, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.73/2.66 (~ (equalish @ X0 @ X1)
% 12.73/2.66 | ~ (product @ X2 @ X3 @ X0)
% 12.73/2.66 | (product @ X2 @ X3 @ X1))),
% 12.73/2.66 inference('cnf', [status(esa)], [product_substitution3])).
% 12.73/2.66 thf(zip_derived_cl21, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 ( (product @ (inverse @ X0) @ X0 @ X1) | ~ (equalish @ identity @ X1))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 12.73/2.66 thf(zip_derived_cl710, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 (~ (product @ identity @ (inverse @ identity) @ X0)
% 12.73/2.66 | (product @ (inverse @ X1) @ X1 @ X0))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl572, zip_derived_cl21])).
% 12.73/2.66 thf(zip_derived_cl714, plain,
% 12.73/2.66 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ (inverse @ identity))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl710])).
% 12.73/2.66 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_identity])).
% 12.73/2.66 thf(zip_derived_cl1, plain,
% 12.73/2.66 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 12.73/2.66 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_identity])).
% 12.73/2.66 thf(zip_derived_cl1, plain,
% 12.73/2.66 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 12.73/2.66 thf(a_equals_b, axiom, (equalish @ a @ b)).
% 12.73/2.66 thf(zip_derived_cl7, plain, ( (equalish @ a @ b)),
% 12.73/2.66 inference('cnf', [status(esa)], [a_equals_b])).
% 12.73/2.66 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_identity])).
% 12.73/2.66 thf(zip_derived_cl6, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.73/2.66 (~ (equalish @ X0 @ X1)
% 12.73/2.66 | ~ (product @ X2 @ X3 @ X0)
% 12.73/2.66 | (product @ X2 @ X3 @ X1))),
% 12.73/2.66 inference('cnf', [status(esa)], [product_substitution3])).
% 12.73/2.66 thf(zip_derived_cl20, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 ( (product @ identity @ X0 @ X1) | ~ (equalish @ X0 @ X1))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 12.73/2.66 thf(zip_derived_cl25, plain, ( (product @ identity @ a @ b)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl20])).
% 12.73/2.66 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_identity])).
% 12.73/2.66 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_identity])).
% 12.73/2.66 thf(zip_derived_cl4, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.73/2.66 (~ (product @ X0 @ X1 @ X2)
% 12.73/2.66 | ~ (product @ X1 @ X3 @ X4)
% 12.73/2.66 | ~ (product @ X2 @ X3 @ X5)
% 12.73/2.66 | (product @ X0 @ X4 @ X5))),
% 12.73/2.66 inference('cnf', [status(esa)], [associativity1])).
% 12.73/2.66 thf(zip_derived_cl63, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.73/2.66 ( (product @ identity @ X2 @ X1)
% 12.73/2.66 | ~ (product @ X0 @ X3 @ X1)
% 12.73/2.66 | ~ (product @ X0 @ X3 @ X2))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 12.73/2.66 thf(zip_derived_cl121, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 (~ (product @ identity @ X0 @ X1) | (product @ identity @ X1 @ X0))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl63])).
% 12.73/2.66 thf(zip_derived_cl140, plain, ( (product @ identity @ b @ a)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl121])).
% 12.73/2.66 thf(zip_derived_cl66, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.73/2.66 ( (product @ (inverse @ X0) @ X2 @ X1)
% 12.73/2.66 | ~ (product @ identity @ X3 @ X1)
% 12.73/2.66 | ~ (product @ X0 @ X3 @ X2))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 12.73/2.66 thf(zip_derived_cl293, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 (~ (product @ X1 @ b @ X0) | (product @ (inverse @ X1) @ X0 @ a))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl140, zip_derived_cl66])).
% 12.73/2.66 thf(zip_derived_cl300, plain,
% 12.73/2.66 ( (product @ (inverse @ (inverse @ b)) @ identity @ a)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl293])).
% 12.73/2.66 thf(zip_derived_cl5, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.73/2.66 (~ (product @ X0 @ X1 @ X2)
% 12.73/2.66 | ~ (product @ X1 @ X3 @ X4)
% 12.73/2.66 | ~ (product @ X0 @ X4 @ X5)
% 12.73/2.66 | (product @ X2 @ X3 @ X5))),
% 12.73/2.66 inference('cnf', [status(esa)], [associativity2])).
% 12.73/2.66 thf(zip_derived_cl683, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.73/2.66 ( (product @ a @ X1 @ X0)
% 12.73/2.66 | ~ (product @ (inverse @ (inverse @ b)) @ X2 @ X0)
% 12.73/2.66 | ~ (product @ identity @ X1 @ X2))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl300, zip_derived_cl5])).
% 12.73/2.66 thf(zip_derived_cl1247, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 (~ (product @ (inverse @ (inverse @ b)) @ X0 @ X1)
% 12.73/2.66 | (product @ a @ X0 @ X1))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl683])).
% 12.73/2.66 thf(zip_derived_cl1266, plain, ( (product @ a @ (inverse @ b) @ identity)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1247])).
% 12.73/2.66 thf(zip_derived_cl4, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.73/2.66 (~ (product @ X0 @ X1 @ X2)
% 12.73/2.66 | ~ (product @ X1 @ X3 @ X4)
% 12.73/2.66 | ~ (product @ X2 @ X3 @ X5)
% 12.73/2.66 | (product @ X0 @ X4 @ X5))),
% 12.73/2.66 inference('cnf', [status(esa)], [associativity1])).
% 12.73/2.66 thf(zip_derived_cl1313, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.73/2.66 ( (product @ a @ X1 @ X0)
% 12.73/2.66 | ~ (product @ identity @ X2 @ X0)
% 12.73/2.66 | ~ (product @ (inverse @ b) @ X2 @ X1))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1266, zip_derived_cl4])).
% 12.73/2.66 thf(zip_derived_cl1557, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 (~ (product @ (inverse @ b) @ X0 @ X1) | (product @ a @ X1 @ X0))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1313])).
% 12.73/2.66 thf(zip_derived_cl1578, plain, ( (product @ a @ (inverse @ identity) @ b)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl714, zip_derived_cl1557])).
% 12.73/2.66 thf(zip_derived_cl570, plain,
% 12.73/2.66 ( (product @ identity @ (inverse @ identity) @ identity)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl304, zip_derived_cl561])).
% 12.73/2.66 thf(zip_derived_cl66, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.73/2.66 ( (product @ (inverse @ X0) @ X2 @ X1)
% 12.73/2.66 | ~ (product @ identity @ X3 @ X1)
% 12.73/2.66 | ~ (product @ X0 @ X3 @ X2))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 12.73/2.66 thf(zip_derived_cl584, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 (~ (product @ X1 @ (inverse @ identity) @ X0)
% 12.73/2.66 | (product @ (inverse @ X1) @ X0 @ identity))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl570, zip_derived_cl66])).
% 12.73/2.66 thf(zip_derived_cl1597, plain, ( (product @ (inverse @ a) @ b @ identity)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1578, zip_derived_cl584])).
% 12.73/2.66 thf(zip_derived_cl293, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 (~ (product @ X1 @ b @ X0) | (product @ (inverse @ X1) @ X0 @ a))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl140, zip_derived_cl66])).
% 12.73/2.66 thf(zip_derived_cl1637, plain,
% 12.73/2.66 ( (product @ (inverse @ (inverse @ a)) @ identity @ a)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1597, zip_derived_cl293])).
% 12.73/2.66 thf(zip_derived_cl5, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.73/2.66 (~ (product @ X0 @ X1 @ X2)
% 12.73/2.66 | ~ (product @ X1 @ X3 @ X4)
% 12.73/2.66 | ~ (product @ X0 @ X4 @ X5)
% 12.73/2.66 | (product @ X2 @ X3 @ X5))),
% 12.73/2.66 inference('cnf', [status(esa)], [associativity2])).
% 12.73/2.66 thf(zip_derived_cl2832, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.73/2.66 ( (product @ a @ X1 @ X0)
% 12.73/2.66 | ~ (product @ (inverse @ (inverse @ a)) @ X2 @ X0)
% 12.73/2.66 | ~ (product @ identity @ X1 @ X2))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1637, zip_derived_cl5])).
% 12.73/2.66 thf(zip_derived_cl3847, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 (~ (product @ (inverse @ (inverse @ a)) @ X0 @ X1)
% 12.73/2.66 | (product @ a @ X0 @ X1))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2832])).
% 12.73/2.66 thf(zip_derived_cl3881, plain, ( (product @ a @ (inverse @ a) @ identity)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3847])).
% 12.73/2.66 thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 12.73/2.66 thf(zip_derived_cl2, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 12.73/2.66 inference('cnf', [status(esa)], [total_function1])).
% 12.73/2.66 thf(zip_derived_cl1266, plain, ( (product @ a @ (inverse @ b) @ identity)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1247])).
% 12.73/2.66 thf(zip_derived_cl300, plain,
% 12.73/2.66 ( (product @ (inverse @ (inverse @ b)) @ identity @ a)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl293])).
% 12.73/2.66 thf(zip_derived_cl1247, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 (~ (product @ (inverse @ (inverse @ b)) @ X0 @ X1)
% 12.73/2.66 | (product @ a @ X0 @ X1))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl683])).
% 12.73/2.66 thf(zip_derived_cl1269, plain, ( (product @ a @ identity @ a)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl300, zip_derived_cl1247])).
% 12.73/2.66 thf(zip_derived_cl4, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.73/2.66 (~ (product @ X0 @ X1 @ X2)
% 12.73/2.66 | ~ (product @ X1 @ X3 @ X4)
% 12.73/2.66 | ~ (product @ X2 @ X3 @ X5)
% 12.73/2.66 | (product @ X0 @ X4 @ X5))),
% 12.73/2.66 inference('cnf', [status(esa)], [associativity1])).
% 12.73/2.66 thf(zip_derived_cl1295, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.73/2.66 ( (product @ a @ X1 @ X0)
% 12.73/2.66 | ~ (product @ a @ X2 @ X0)
% 12.73/2.66 | ~ (product @ identity @ X2 @ X1))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1269, zip_derived_cl4])).
% 12.73/2.66 thf(zip_derived_cl1458, plain,
% 12.73/2.66 (![X0 : $i]:
% 12.73/2.66 (~ (product @ identity @ (inverse @ b) @ X0)
% 12.73/2.66 | (product @ a @ X0 @ identity))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1266, zip_derived_cl1295])).
% 12.73/2.66 thf(zip_derived_cl1461, plain,
% 12.73/2.66 ( (product @ a @ (multiply @ identity @ (inverse @ b)) @ identity)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1458])).
% 12.73/2.66 thf(zip_derived_cl2, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 12.73/2.66 inference('cnf', [status(esa)], [total_function1])).
% 12.73/2.66 thf(zip_derived_cl121, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i]:
% 12.73/2.66 (~ (product @ identity @ X0 @ X1) | (product @ identity @ X1 @ X0))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl63])).
% 12.73/2.66 thf(zip_derived_cl132, plain,
% 12.73/2.66 (![X0 : $i]: (product @ identity @ (multiply @ identity @ X0) @ X0)),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl121])).
% 12.73/2.66 thf(zip_derived_cl66, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.73/2.66 ( (product @ (inverse @ X0) @ X2 @ X1)
% 12.73/2.66 | ~ (product @ identity @ X3 @ X1)
% 12.73/2.66 | ~ (product @ X0 @ X3 @ X2))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 12.73/2.66 thf(zip_derived_cl285, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.73/2.66 (~ (product @ X2 @ (multiply @ identity @ X0) @ X1)
% 12.73/2.66 | (product @ (inverse @ X2) @ X1 @ X0))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl66])).
% 12.73/2.66 thf(zip_derived_cl2695, plain,
% 12.73/2.66 ( (product @ (inverse @ a) @ identity @ (inverse @ b))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1461, zip_derived_cl285])).
% 12.73/2.66 thf(zip_derived_cl1, plain,
% 12.73/2.66 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 12.73/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 12.73/2.66 thf(zip_derived_cl5, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.73/2.66 (~ (product @ X0 @ X1 @ X2)
% 12.73/2.66 | ~ (product @ X1 @ X3 @ X4)
% 12.73/2.66 | ~ (product @ X0 @ X4 @ X5)
% 12.73/2.66 | (product @ X2 @ X3 @ X5))),
% 12.73/2.66 inference('cnf', [status(esa)], [associativity2])).
% 12.73/2.66 thf(zip_derived_cl484, plain,
% 12.73/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.73/2.66 ( (product @ identity @ X2 @ X1)
% 12.73/2.66 | ~ (product @ (inverse @ X0) @ X3 @ X1)
% 12.73/2.66 | ~ (product @ X0 @ X2 @ X3))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 12.73/2.66 thf(zip_derived_cl4506, plain,
% 12.73/2.66 (![X0 : $i]:
% 12.73/2.66 (~ (product @ a @ X0 @ identity)
% 12.73/2.66 | (product @ identity @ X0 @ (inverse @ b)))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl2695, zip_derived_cl484])).
% 12.73/2.66 thf(zip_derived_cl4553, plain,
% 12.73/2.66 ( (product @ identity @ (inverse @ a) @ (inverse @ b))),
% 12.73/2.66 inference('sup-', [status(thm)], [zip_derived_cl3881, zip_derived_cl4506])).
% 12.73/2.66 thf(zip_derived_cl5624, plain, ($false),
% 12.73/2.66 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl4553])).
% 12.73/2.66
% 12.73/2.66 % SZS output end Refutation
% 12.73/2.66
% 12.73/2.66
% 12.73/2.66 % Terminating...
% 13.59/2.89 % Runner terminated.
% 13.65/2.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------