TSTP Solution File: GRP039-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP039-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VD0SCTvmue true
% Computer : n024.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 01:49:39 EDT 2023
% Result : Unsatisfiable 1.33s 0.87s
% Output : Refutation 1.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP039-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VD0SCTvmue true
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 21:19:08 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.33/0.87 % Solved by fo/fo7.sh.
% 1.33/0.87 % done 282 iterations in 0.104s
% 1.33/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.33/0.87 % SZS output start Refutation
% 1.33/0.87 thf(inverse_type, type, inverse: $i > $i).
% 1.33/0.87 thf(product_type, type, product: $i > $i > $i > $o).
% 1.33/0.87 thf(d_type, type, d: $i).
% 1.33/0.87 thf(element_in_O2_type, type, element_in_O2: $i > $i > $i).
% 1.33/0.87 thf(c_type, type, c: $i).
% 1.33/0.87 thf(identity_type, type, identity: $i).
% 1.33/0.87 thf(subgroup_member_type, type, subgroup_member: $i > $o).
% 1.33/0.87 thf(a_type, type, a: $i).
% 1.33/0.87 thf(b_type, type, b: $i).
% 1.33/0.87 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.33/0.87 thf(closure_of_inverse, axiom,
% 1.33/0.87 (( ~( subgroup_member @ X ) ) | ( subgroup_member @ ( inverse @ X ) ))).
% 1.33/0.87 thf(zip_derived_cl8, plain,
% 1.33/0.87 (![X0 : $i]:
% 1.33/0.87 (~ (subgroup_member @ X0) | (subgroup_member @ (inverse @ X0)))),
% 1.33/0.87 inference('cnf', [status(esa)], [closure_of_inverse])).
% 1.33/0.87 thf(b_times_a_inverse_is_c, conjecture,
% 1.33/0.87 (~( product @ b @ ( inverse @ a ) @ c ))).
% 1.33/0.87 thf(zf_stmt_0, negated_conjecture, (product @ b @ ( inverse @ a ) @ c),
% 1.33/0.87 inference('cnf.neg', [status(esa)], [b_times_a_inverse_is_c])).
% 1.33/0.87 thf(zip_derived_cl13, plain, ( (product @ b @ (inverse @ a) @ c)),
% 1.33/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.33/0.87 thf(closure_of_product, axiom,
% 1.33/0.87 (( ~( subgroup_member @ A ) ) | ( ~( subgroup_member @ B ) ) |
% 1.33/0.87 ( ~( product @ A @ B @ C ) ) | ( subgroup_member @ C ))).
% 1.33/0.87 thf(zip_derived_cl9, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.33/0.87 (~ (subgroup_member @ X0)
% 1.33/0.87 | ~ (subgroup_member @ X1)
% 1.33/0.87 | ~ (product @ X0 @ X1 @ X2)
% 1.33/0.87 | (subgroup_member @ X2))),
% 1.33/0.87 inference('cnf', [status(esa)], [closure_of_product])).
% 1.33/0.87 thf(zip_derived_cl42, plain,
% 1.33/0.87 (( (subgroup_member @ c)
% 1.33/0.87 | ~ (subgroup_member @ (inverse @ a))
% 1.33/0.87 | ~ (subgroup_member @ b))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl9])).
% 1.33/0.87 thf(b_is_in_subgroup, conjecture, (~( subgroup_member @ b ))).
% 1.33/0.87 thf(zf_stmt_1, negated_conjecture, (subgroup_member @ b),
% 1.33/0.87 inference('cnf.neg', [status(esa)], [b_is_in_subgroup])).
% 1.33/0.87 thf(zip_derived_cl12, plain, ( (subgroup_member @ b)),
% 1.33/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.33/0.87 thf(zip_derived_cl43, plain,
% 1.33/0.87 (( (subgroup_member @ c) | ~ (subgroup_member @ (inverse @ a)))),
% 1.33/0.87 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl12])).
% 1.33/0.87 thf(zip_derived_cl44, plain,
% 1.33/0.87 ((~ (subgroup_member @ a) | (subgroup_member @ c))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl43])).
% 1.33/0.87 thf(a_times_c_is_d, conjecture, (~( product @ a @ c @ d ))).
% 1.33/0.87 thf(zf_stmt_2, negated_conjecture, (product @ a @ c @ d),
% 1.33/0.87 inference('cnf.neg', [status(esa)], [a_times_c_is_d])).
% 1.33/0.87 thf(zip_derived_cl14, plain, ( (product @ a @ c @ d)),
% 1.33/0.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.33/0.87 thf(zip_derived_cl9, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.33/0.87 (~ (subgroup_member @ X0)
% 1.33/0.87 | ~ (subgroup_member @ X1)
% 1.33/0.87 | ~ (product @ X0 @ X1 @ X2)
% 1.33/0.87 | (subgroup_member @ X2))),
% 1.33/0.87 inference('cnf', [status(esa)], [closure_of_product])).
% 1.33/0.87 thf(zip_derived_cl27, plain,
% 1.33/0.87 (( (subgroup_member @ d)
% 1.33/0.87 | ~ (subgroup_member @ c)
% 1.33/0.87 | ~ (subgroup_member @ a))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl9])).
% 1.33/0.87 thf(prove_d_is_in_subgroup, conjecture, (subgroup_member @ d)).
% 1.33/0.87 thf(zf_stmt_3, negated_conjecture, (~( subgroup_member @ d )),
% 1.33/0.87 inference('cnf.neg', [status(esa)], [prove_d_is_in_subgroup])).
% 1.33/0.87 thf(zip_derived_cl15, plain, (~ (subgroup_member @ d)),
% 1.33/0.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.33/0.87 thf(zip_derived_cl28, plain,
% 1.33/0.87 ((~ (subgroup_member @ a) | ~ (subgroup_member @ c))),
% 1.33/0.87 inference('clc', [status(thm)], [zip_derived_cl27, zip_derived_cl15])).
% 1.33/0.87 thf(zip_derived_cl45, plain, (~ (subgroup_member @ a)),
% 1.33/0.87 inference('clc', [status(thm)], [zip_derived_cl44, zip_derived_cl28])).
% 1.33/0.87 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 1.33/0.87 thf(zip_derived_cl3, plain,
% 1.33/0.87 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 1.33/0.87 inference('cnf', [status(esa)], [right_inverse])).
% 1.33/0.87 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 1.33/0.87 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 1.33/0.87 inference('cnf', [status(esa)], [left_identity])).
% 1.33/0.87 thf(zip_derived_cl3, plain,
% 1.33/0.87 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 1.33/0.87 inference('cnf', [status(esa)], [right_inverse])).
% 1.33/0.87 thf(associativity1, axiom,
% 1.33/0.87 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 1.33/0.87 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 1.33/0.87 thf(zip_derived_cl6, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.33/0.87 (~ (product @ X0 @ X1 @ X2)
% 1.33/0.87 | ~ (product @ X1 @ X3 @ X4)
% 1.33/0.87 | ~ (product @ X2 @ X3 @ X5)
% 1.33/0.87 | (product @ X0 @ X4 @ X5))),
% 1.33/0.87 inference('cnf', [status(esa)], [associativity1])).
% 1.33/0.87 thf(zip_derived_cl54, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.33/0.87 ( (product @ X0 @ X2 @ X1)
% 1.33/0.87 | ~ (product @ identity @ X3 @ X1)
% 1.33/0.87 | ~ (product @ (inverse @ X0) @ X3 @ X2))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 1.33/0.87 thf(zip_derived_cl134, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.33/0.87 (~ (product @ (inverse @ X2) @ X0 @ X1) | (product @ X2 @ X1 @ X0))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl54])).
% 1.33/0.87 thf(zip_derived_cl168, plain,
% 1.33/0.87 (![X0 : $i]: (product @ X0 @ identity @ (inverse @ (inverse @ X0)))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl134])).
% 1.33/0.87 thf(right_identity, axiom, (product @ X @ identity @ X)).
% 1.33/0.87 thf(zip_derived_cl1, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 1.33/0.87 inference('cnf', [status(esa)], [right_identity])).
% 1.33/0.87 thf(total_function2, axiom,
% 1.33/0.87 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 1.33/0.87 ( ( Z ) = ( W ) ))).
% 1.33/0.87 thf(zip_derived_cl5, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.33/0.87 (~ (product @ X0 @ X1 @ X2)
% 1.33/0.87 | ~ (product @ X0 @ X1 @ X3)
% 1.33/0.87 | ((X2) = (X3)))),
% 1.33/0.87 inference('cnf', [status(esa)], [total_function2])).
% 1.33/0.87 thf(zip_derived_cl16, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]: (((X0) = (X1)) | ~ (product @ X0 @ identity @ X1))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 1.33/0.87 thf(zip_derived_cl201, plain,
% 1.33/0.87 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl16])).
% 1.33/0.87 thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 1.33/0.87 thf(zip_derived_cl4, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.33/0.87 inference('cnf', [status(esa)], [total_function1])).
% 1.33/0.87 thf(zip_derived_cl134, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.33/0.87 (~ (product @ (inverse @ X2) @ X0 @ X1) | (product @ X2 @ X1 @ X0))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl54])).
% 1.33/0.87 thf(zip_derived_cl166, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]:
% 1.33/0.87 (product @ X1 @ (multiply @ (inverse @ X1) @ X0) @ X0)),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl134])).
% 1.33/0.87 thf(zip_derived_cl4, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.33/0.87 inference('cnf', [status(esa)], [total_function1])).
% 1.33/0.87 thf(zip_derived_cl5, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.33/0.87 (~ (product @ X0 @ X1 @ X2)
% 1.33/0.87 | ~ (product @ X0 @ X1 @ X3)
% 1.33/0.87 | ((X2) = (X3)))),
% 1.33/0.87 inference('cnf', [status(esa)], [total_function2])).
% 1.33/0.87 thf(zip_derived_cl60, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.33/0.87 (((multiply @ X1 @ X0) = (X2)) | ~ (product @ X1 @ X0 @ X2))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.33/0.87 thf(zip_derived_cl263, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]:
% 1.33/0.87 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl60])).
% 1.33/0.87 thf(zip_derived_cl292, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]:
% 1.33/0.87 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 1.33/0.87 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl263])).
% 1.33/0.87 thf(property_of_O2, axiom,
% 1.33/0.87 (( product @ A @ ( element_in_O2 @ A @ B ) @ B ) |
% 1.33/0.87 ( subgroup_member @ B ) | ( subgroup_member @ A ))).
% 1.33/0.87 thf(zip_derived_cl11, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]:
% 1.33/0.87 ( (product @ X0 @ (element_in_O2 @ X0 @ X1) @ X1)
% 1.33/0.87 | (subgroup_member @ X1)
% 1.33/0.87 | (subgroup_member @ X0))),
% 1.33/0.87 inference('cnf', [status(esa)], [property_of_O2])).
% 1.33/0.87 thf(zip_derived_cl45, plain, (~ (subgroup_member @ a)),
% 1.33/0.87 inference('clc', [status(thm)], [zip_derived_cl44, zip_derived_cl28])).
% 1.33/0.87 thf(zip_derived_cl150, plain,
% 1.33/0.87 (![X0 : $i]:
% 1.33/0.87 ( (subgroup_member @ X0)
% 1.33/0.87 | (product @ a @ (element_in_O2 @ a @ X0) @ X0))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl45])).
% 1.33/0.87 thf(zip_derived_cl60, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.33/0.87 (((multiply @ X1 @ X0) = (X2)) | ~ (product @ X1 @ X0 @ X2))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.33/0.87 thf(zip_derived_cl706, plain,
% 1.33/0.87 (![X0 : $i]:
% 1.33/0.87 ( (subgroup_member @ X0)
% 1.33/0.87 | ((multiply @ a @ (element_in_O2 @ a @ X0)) = (X0)))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl60])).
% 1.33/0.87 thf(zip_derived_cl292, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]:
% 1.33/0.87 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 1.33/0.87 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl263])).
% 1.33/0.87 thf(zip_derived_cl743, plain,
% 1.33/0.87 (![X0 : $i]:
% 1.33/0.87 (((multiply @ (inverse @ a) @ X0) = (element_in_O2 @ a @ X0))
% 1.33/0.87 | (subgroup_member @ X0))),
% 1.33/0.87 inference('sup+', [status(thm)], [zip_derived_cl706, zip_derived_cl292])).
% 1.33/0.87 thf(an_element_in_O2, axiom,
% 1.33/0.87 (( subgroup_member @ ( element_in_O2 @ A @ B ) ) |
% 1.33/0.87 ( subgroup_member @ B ) | ( subgroup_member @ A ))).
% 1.33/0.87 thf(zip_derived_cl10, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]:
% 1.33/0.87 ( (subgroup_member @ (element_in_O2 @ X0 @ X1))
% 1.33/0.87 | (subgroup_member @ X1)
% 1.33/0.87 | (subgroup_member @ X0))),
% 1.33/0.87 inference('cnf', [status(esa)], [an_element_in_O2])).
% 1.33/0.87 thf(zip_derived_cl788, plain,
% 1.33/0.87 (![X0 : $i]:
% 1.33/0.87 ( (subgroup_member @ (multiply @ (inverse @ a) @ X0))
% 1.33/0.87 | (subgroup_member @ X0)
% 1.33/0.87 | (subgroup_member @ a)
% 1.33/0.87 | (subgroup_member @ X0))),
% 1.33/0.87 inference('sup+', [status(thm)], [zip_derived_cl743, zip_derived_cl10])).
% 1.33/0.87 thf(zip_derived_cl45, plain, (~ (subgroup_member @ a)),
% 1.33/0.87 inference('clc', [status(thm)], [zip_derived_cl44, zip_derived_cl28])).
% 1.33/0.87 thf(zip_derived_cl815, plain,
% 1.33/0.87 (![X0 : $i]:
% 1.33/0.87 ( (subgroup_member @ (multiply @ (inverse @ a) @ X0))
% 1.33/0.87 | (subgroup_member @ X0)
% 1.33/0.87 | (subgroup_member @ X0))),
% 1.33/0.87 inference('demod', [status(thm)], [zip_derived_cl788, zip_derived_cl45])).
% 1.33/0.87 thf(zip_derived_cl816, plain,
% 1.33/0.87 (![X0 : $i]:
% 1.33/0.87 ( (subgroup_member @ X0)
% 1.33/0.87 | (subgroup_member @ (multiply @ (inverse @ a) @ X0)))),
% 1.33/0.87 inference('simplify', [status(thm)], [zip_derived_cl815])).
% 1.33/0.87 thf(zip_derived_cl922, plain,
% 1.33/0.87 (![X0 : $i]:
% 1.33/0.87 ( (subgroup_member @ X0) | (subgroup_member @ (multiply @ a @ X0)))),
% 1.33/0.87 inference('sup+', [status(thm)], [zip_derived_cl292, zip_derived_cl816])).
% 1.33/0.87 thf(zip_derived_cl15, plain, (~ (subgroup_member @ d)),
% 1.33/0.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.33/0.87 thf(zip_derived_cl4, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.33/0.87 inference('cnf', [status(esa)], [total_function1])).
% 1.33/0.87 thf(zip_derived_cl14, plain, ( (product @ a @ c @ d)),
% 1.33/0.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.33/0.87 thf(zip_derived_cl5, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.33/0.87 (~ (product @ X0 @ X1 @ X2)
% 1.33/0.87 | ~ (product @ X0 @ X1 @ X3)
% 1.33/0.87 | ((X2) = (X3)))),
% 1.33/0.87 inference('cnf', [status(esa)], [total_function2])).
% 1.33/0.87 thf(zip_derived_cl18, plain,
% 1.33/0.87 (![X0 : $i]: (((d) = (X0)) | ~ (product @ a @ c @ X0))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl5])).
% 1.33/0.87 thf(zip_derived_cl67, plain, (((d) = (multiply @ a @ c))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl18])).
% 1.33/0.87 thf(zip_derived_cl69, plain, (~ (subgroup_member @ (multiply @ a @ c))),
% 1.33/0.87 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl67])).
% 1.33/0.87 thf(zip_derived_cl4, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.33/0.87 inference('cnf', [status(esa)], [total_function1])).
% 1.33/0.87 thf(zip_derived_cl13, plain, ( (product @ b @ (inverse @ a) @ c)),
% 1.33/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.33/0.87 thf(zip_derived_cl5, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.33/0.87 (~ (product @ X0 @ X1 @ X2)
% 1.33/0.87 | ~ (product @ X0 @ X1 @ X3)
% 1.33/0.87 | ((X2) = (X3)))),
% 1.33/0.87 inference('cnf', [status(esa)], [total_function2])).
% 1.33/0.87 thf(zip_derived_cl40, plain,
% 1.33/0.87 (![X0 : $i]: (((c) = (X0)) | ~ (product @ b @ (inverse @ a) @ X0))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl5])).
% 1.33/0.87 thf(zip_derived_cl66, plain, (((c) = (multiply @ b @ (inverse @ a)))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl40])).
% 1.33/0.87 thf(zip_derived_cl102, plain,
% 1.33/0.87 (~ (subgroup_member @ (multiply @ a @ (multiply @ b @ (inverse @ a))))),
% 1.33/0.87 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl66])).
% 1.33/0.87 thf(zip_derived_cl931, plain,
% 1.33/0.87 ( (subgroup_member @ (multiply @ b @ (inverse @ a)))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl922, zip_derived_cl102])).
% 1.33/0.87 thf(zip_derived_cl8, plain,
% 1.33/0.87 (![X0 : $i]:
% 1.33/0.87 (~ (subgroup_member @ X0) | (subgroup_member @ (inverse @ X0)))),
% 1.33/0.87 inference('cnf', [status(esa)], [closure_of_inverse])).
% 1.33/0.87 thf(zip_derived_cl201, plain,
% 1.33/0.87 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl16])).
% 1.33/0.87 thf(zip_derived_cl166, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]:
% 1.33/0.87 (product @ X1 @ (multiply @ (inverse @ X1) @ X0) @ X0)),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl134])).
% 1.33/0.87 thf(zip_derived_cl9, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.33/0.87 (~ (subgroup_member @ X0)
% 1.33/0.87 | ~ (subgroup_member @ X1)
% 1.33/0.87 | ~ (product @ X0 @ X1 @ X2)
% 1.33/0.87 | (subgroup_member @ X2))),
% 1.33/0.87 inference('cnf', [status(esa)], [closure_of_product])).
% 1.33/0.87 thf(zip_derived_cl260, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]:
% 1.33/0.87 ( (subgroup_member @ X0)
% 1.33/0.87 | ~ (subgroup_member @ (multiply @ (inverse @ X1) @ X0))
% 1.33/0.87 | ~ (subgroup_member @ X1))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl9])).
% 1.33/0.87 thf(zip_derived_cl334, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]:
% 1.33/0.87 (~ (subgroup_member @ (multiply @ X0 @ X1))
% 1.33/0.87 | ~ (subgroup_member @ (inverse @ X0))
% 1.33/0.87 | (subgroup_member @ X1))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl260])).
% 1.33/0.87 thf(zip_derived_cl343, plain,
% 1.33/0.87 (![X0 : $i, X1 : $i]:
% 1.33/0.87 (~ (subgroup_member @ X0)
% 1.33/0.87 | (subgroup_member @ X1)
% 1.33/0.87 | ~ (subgroup_member @ (multiply @ X0 @ X1)))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl334])).
% 1.33/0.87 thf(zip_derived_cl990, plain,
% 1.33/0.87 (( (subgroup_member @ (inverse @ a)) | ~ (subgroup_member @ b))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl931, zip_derived_cl343])).
% 1.33/0.87 thf(zip_derived_cl12, plain, ( (subgroup_member @ b)),
% 1.33/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.33/0.87 thf(zip_derived_cl991, plain, ( (subgroup_member @ (inverse @ a))),
% 1.33/0.87 inference('demod', [status(thm)], [zip_derived_cl990, zip_derived_cl12])).
% 1.33/0.87 thf(zip_derived_cl201, plain,
% 1.33/0.87 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl16])).
% 1.33/0.87 thf(zip_derived_cl8, plain,
% 1.33/0.87 (![X0 : $i]:
% 1.33/0.87 (~ (subgroup_member @ X0) | (subgroup_member @ (inverse @ X0)))),
% 1.33/0.87 inference('cnf', [status(esa)], [closure_of_inverse])).
% 1.33/0.87 thf(zip_derived_cl223, plain,
% 1.33/0.87 (![X0 : $i]:
% 1.33/0.87 ( (subgroup_member @ X0) | ~ (subgroup_member @ (inverse @ X0)))),
% 1.33/0.87 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl8])).
% 1.33/0.87 thf(zip_derived_cl993, plain, ( (subgroup_member @ a)),
% 1.33/0.87 inference('sup-', [status(thm)], [zip_derived_cl991, zip_derived_cl223])).
% 1.33/0.87 thf(zip_derived_cl996, plain, ($false),
% 1.33/0.87 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl993])).
% 1.33/0.87
% 1.33/0.87 % SZS output end Refutation
% 1.33/0.87
% 1.33/0.87
% 1.33/0.87 % Terminating...
% 1.58/0.94 % Runner terminated.
% 1.58/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------