%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG039-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TaMKKOlDEi 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 04:50:18 PM UTC 2025
% Result : Unsatisfiable 12.86s 2.42s
% Output : Refutation 12.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG039-2 : TPTP v9.2.0. Released v1.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TaMKKOlDEi true
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 17:26:53 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.51/0.65 % Total configuration time : 435
% 0.51/0.65 % Estimated wc time : 1092
% 0.51/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 12.86/2.42 % Solved by fo/fo5.sh.
% 12.86/2.42 % done 2179 iterations in 1.645s
% 12.86/2.42 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.86/2.42 % SZS output start Refutation
% 12.86/2.42 thf(multiply_type, type, multiply: $i > $i > $i).
% 12.86/2.42 thf(a_type, type, a: $i).
% 12.86/2.42 thf(d_type, type, d: $i).
% 12.86/2.42 thf(additive_identity_type, type, additive_identity: $i).
% 12.86/2.42 thf(equalish_type, type, equalish: $i > $i > $o).
% 12.86/2.42 thf(product_type, type, product: $i > $i > $i > $o).
% 12.86/2.42 thf(c_type, type, c: $i).
% 12.86/2.42 thf(b_type, type, b: $i).
% 12.86/2.42 thf(prove_c_equals_d, conjecture, (equalish @ c @ d)).
% 12.86/2.42 thf(zf_stmt_0, negated_conjecture, (~( equalish @ c @ d )),
% 12.86/2.42 inference('cnf.neg', [status(esa)], [prove_c_equals_d])).
% 12.86/2.42 thf(zip_derived_cl73, plain, (~ (equalish @ c @ d)),
% 12.86/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.86/2.42 thf(multiplicative_identity1, axiom,
% 12.86/2.42 (product @ additive_identity @ X @ additive_identity)).
% 12.86/2.42 thf(zip_derived_cl25, plain,
% 12.86/2.42 (![X0 : $i]: (product @ additive_identity @ X0 @ additive_identity)),
% 12.86/2.42 inference('cnf', [status(esa)], [multiplicative_identity1])).
% 12.86/2.42 thf(closure_of_multiplication, axiom,
% 12.86/2.42 (product @ X @ Y @ ( multiply @ X @ Y ))).
% 12.86/2.42 thf(zip_derived_cl14, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 12.86/2.42 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 12.86/2.42 thf(multiplication_is_well_defined, axiom,
% 12.86/2.42 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ X @ Y @ V ) ) |
% 12.86/2.42 ( equalish @ U @ V ))).
% 12.86/2.42 thf(zip_derived_cl28, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.86/2.42 (~ (product @ X0 @ X1 @ X2)
% 12.86/2.42 | ~ (product @ X0 @ X1 @ X3)
% 12.86/2.42 | (equalish @ X2 @ X3))),
% 12.86/2.42 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 12.86/2.42 thf(zip_derived_cl213, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.86/2.42 ( (equalish @ (multiply @ X1 @ X0) @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl28])).
% 12.86/2.42 thf(zip_derived_cl7968, plain,
% 12.86/2.42 (![X0 : $i]:
% 12.86/2.42 (equalish @ (multiply @ additive_identity @ X0) @ additive_identity)),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl213])).
% 12.86/2.42 thf(clause44, axiom,
% 12.86/2.42 (product @ a @ ( multiply @ b @ A ) @ ( multiply @ B @ A ))).
% 12.86/2.42 thf(zip_derived_cl45, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i]:
% 12.86/2.42 (product @ a @ (multiply @ b @ X0) @ (multiply @ X1 @ X0))),
% 12.86/2.42 inference('cnf', [status(esa)], [clause44])).
% 12.86/2.42 thf(zip_derived_cl14, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 12.86/2.42 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 12.86/2.42 thf(clause71, axiom, (product @ A @ A @ A)).
% 12.86/2.42 thf(zip_derived_cl70, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 12.86/2.42 inference('cnf', [status(esa)], [clause71])).
% 12.86/2.42 thf(zip_derived_cl28, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.86/2.42 (~ (product @ X0 @ X1 @ X2)
% 12.86/2.42 | ~ (product @ X0 @ X1 @ X3)
% 12.86/2.42 | (equalish @ X2 @ X3))),
% 12.86/2.42 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 12.86/2.42 thf(zip_derived_cl212, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i]:
% 12.86/2.42 ( (equalish @ X0 @ X1) | ~ (product @ X0 @ X0 @ X1))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl28])).
% 12.86/2.42 thf(zip_derived_cl373, plain,
% 12.86/2.42 (![X0 : $i]: (equalish @ X0 @ (multiply @ X0 @ X0))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl212])).
% 12.86/2.42 thf(a_times_b, conjecture, (~( product @ a @ b @ c ))).
% 12.86/2.42 thf(zf_stmt_1, negated_conjecture, (product @ a @ b @ c),
% 12.86/2.42 inference('cnf.neg', [status(esa)], [a_times_b])).
% 12.86/2.42 thf(zip_derived_cl71, plain, ( (product @ a @ b @ c)),
% 12.86/2.42 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.86/2.42 thf(product_substitution2, axiom,
% 12.86/2.42 (( ~( equalish @ X @ Y ) ) | ( ~( product @ W @ X @ Z ) ) |
% 12.86/2.42 ( product @ W @ Y @ Z ))).
% 12.86/2.42 thf(zip_derived_cl8, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.86/2.42 (~ (equalish @ X0 @ X1)
% 12.86/2.42 | ~ (product @ X2 @ X0 @ X3)
% 12.86/2.42 | (product @ X2 @ X1 @ X3))),
% 12.86/2.42 inference('cnf', [status(esa)], [product_substitution2])).
% 12.86/2.42 thf(zip_derived_cl499, plain,
% 12.86/2.42 (![X0 : $i]: ( (product @ a @ X0 @ c) | ~ (equalish @ b @ X0))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl8])).
% 12.86/2.42 thf(zip_derived_cl533, plain, ( (product @ a @ (multiply @ b @ b) @ c)),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl373, zip_derived_cl499])).
% 12.86/2.42 thf(zip_derived_cl28, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.86/2.42 (~ (product @ X0 @ X1 @ X2)
% 12.86/2.42 | ~ (product @ X0 @ X1 @ X3)
% 12.86/2.42 | (equalish @ X2 @ X3))),
% 12.86/2.42 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 12.86/2.42 thf(zip_derived_cl675, plain,
% 12.86/2.42 (![X0 : $i]:
% 12.86/2.42 ( (equalish @ c @ X0) | ~ (product @ a @ (multiply @ b @ b) @ X0))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl533, zip_derived_cl28])).
% 12.86/2.42 thf(zip_derived_cl2491, plain,
% 12.86/2.42 (![X0 : $i]: (equalish @ c @ (multiply @ X0 @ b))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl675])).
% 12.86/2.42 thf(transitivity, axiom,
% 12.86/2.42 (( ~( equalish @ X @ Y ) ) | ( ~( equalish @ Y @ Z ) ) |
% 12.86/2.42 ( equalish @ X @ Z ))).
% 12.86/2.42 thf(zip_derived_cl11, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.86/2.42 (~ (equalish @ X0 @ X1)
% 12.86/2.42 | ~ (equalish @ X1 @ X2)
% 12.86/2.42 | (equalish @ X0 @ X2))),
% 12.86/2.42 inference('cnf', [status(esa)], [transitivity])).
% 12.86/2.42 thf(zip_derived_cl2497, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i]:
% 12.86/2.42 ( (equalish @ c @ X1) | ~ (equalish @ (multiply @ X0 @ b) @ X1))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl2491, zip_derived_cl11])).
% 12.86/2.42 thf(zip_derived_cl8290, plain, ( (equalish @ c @ additive_identity)),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl7968, zip_derived_cl2497])).
% 12.86/2.42 thf(clause35, axiom, (equalish @ ( multiply @ A @ A ) @ A)).
% 12.86/2.42 thf(zip_derived_cl36, plain,
% 12.86/2.42 (![X0 : $i]: (equalish @ (multiply @ X0 @ X0) @ X0)),
% 12.86/2.42 inference('cnf', [status(esa)], [clause35])).
% 12.86/2.42 thf(zip_derived_cl2497, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i]:
% 12.86/2.42 ( (equalish @ c @ X1) | ~ (equalish @ (multiply @ X0 @ b) @ X1))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl2491, zip_derived_cl11])).
% 12.86/2.42 thf(zip_derived_cl3458, plain, ( (equalish @ c @ b)),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl2497])).
% 12.86/2.42 thf(clause41, axiom, (product @ c @ b @ c)).
% 12.86/2.42 thf(zip_derived_cl42, plain, ( (product @ c @ b @ c)),
% 12.86/2.42 inference('cnf', [status(esa)], [clause41])).
% 12.86/2.42 thf(product_substitution1, axiom,
% 12.86/2.42 (( ~( equalish @ X @ Y ) ) | ( ~( product @ X @ W @ Z ) ) |
% 12.86/2.42 ( product @ Y @ W @ Z ))).
% 12.86/2.42 thf(zip_derived_cl7, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.86/2.42 (~ (equalish @ X0 @ X1)
% 12.86/2.42 | ~ (product @ X0 @ X2 @ X3)
% 12.86/2.42 | (product @ X1 @ X2 @ X3))),
% 12.86/2.42 inference('cnf', [status(esa)], [product_substitution1])).
% 12.86/2.42 thf(zip_derived_cl442, plain,
% 12.86/2.42 (![X0 : $i]: ( (product @ X0 @ b @ c) | ~ (equalish @ c @ X0))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl7])).
% 12.86/2.42 thf(zip_derived_cl3476, plain, ( (product @ b @ b @ c)),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl3458, zip_derived_cl442])).
% 12.86/2.42 thf(zip_derived_cl212, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i]:
% 12.86/2.42 ( (equalish @ X0 @ X1) | ~ (product @ X0 @ X0 @ X1))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl28])).
% 12.86/2.42 thf(zip_derived_cl3589, plain, ( (equalish @ b @ c)),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl3476, zip_derived_cl212])).
% 12.86/2.42 thf(b_times_a, conjecture, (~( product @ b @ a @ d ))).
% 12.86/2.42 thf(zf_stmt_2, negated_conjecture, (product @ b @ a @ d),
% 12.86/2.42 inference('cnf.neg', [status(esa)], [b_times_a])).
% 12.86/2.42 thf(zip_derived_cl72, plain, ( (product @ b @ a @ d)),
% 12.86/2.42 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.86/2.42 thf(zip_derived_cl7, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.86/2.42 (~ (equalish @ X0 @ X1)
% 12.86/2.42 | ~ (product @ X0 @ X2 @ X3)
% 12.86/2.42 | (product @ X1 @ X2 @ X3))),
% 12.86/2.42 inference('cnf', [status(esa)], [product_substitution1])).
% 12.86/2.42 thf(zip_derived_cl438, plain,
% 12.86/2.42 (![X0 : $i]: ( (product @ X0 @ a @ d) | ~ (equalish @ b @ X0))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl7])).
% 12.86/2.42 thf(zip_derived_cl3606, plain, ( (product @ c @ a @ d)),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl3589, zip_derived_cl438])).
% 12.86/2.42 thf(zip_derived_cl7, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.86/2.42 (~ (equalish @ X0 @ X1)
% 12.86/2.42 | ~ (product @ X0 @ X2 @ X3)
% 12.86/2.42 | (product @ X1 @ X2 @ X3))),
% 12.86/2.42 inference('cnf', [status(esa)], [product_substitution1])).
% 12.86/2.42 thf(zip_derived_cl3697, plain,
% 12.86/2.42 (![X0 : $i]: ( (product @ X0 @ a @ d) | ~ (equalish @ c @ X0))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl3606, zip_derived_cl7])).
% 12.86/2.42 thf(zip_derived_cl8361, plain, ( (product @ additive_identity @ a @ d)),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl8290, zip_derived_cl3697])).
% 12.86/2.42 thf(zip_derived_cl25, plain,
% 12.86/2.42 (![X0 : $i]: (product @ additive_identity @ X0 @ additive_identity)),
% 12.86/2.42 inference('cnf', [status(esa)], [multiplicative_identity1])).
% 12.86/2.42 thf(zip_derived_cl28, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.86/2.42 (~ (product @ X0 @ X1 @ X2)
% 12.86/2.42 | ~ (product @ X0 @ X1 @ X3)
% 12.86/2.42 | (equalish @ X2 @ X3))),
% 12.86/2.42 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 12.86/2.42 thf(zip_derived_cl221, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i]:
% 12.86/2.42 ( (equalish @ additive_identity @ X1)
% 12.86/2.42 | ~ (product @ additive_identity @ X0 @ X1))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl28])).
% 12.86/2.42 thf(zip_derived_cl9090, plain, ( (equalish @ additive_identity @ d)),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl8361, zip_derived_cl221])).
% 12.86/2.42 thf(zip_derived_cl7968, plain,
% 12.86/2.42 (![X0 : $i]:
% 12.86/2.42 (equalish @ (multiply @ additive_identity @ X0) @ additive_identity)),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl213])).
% 12.86/2.42 thf(zip_derived_cl45, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i]:
% 12.86/2.42 (product @ a @ (multiply @ b @ X0) @ (multiply @ X1 @ X0))),
% 12.86/2.42 inference('cnf', [status(esa)], [clause44])).
% 12.86/2.42 thf(clause46, axiom, (product @ a @ ( multiply @ b @ c ) @ c)).
% 12.86/2.42 thf(zip_derived_cl47, plain, ( (product @ a @ (multiply @ b @ c) @ c)),
% 12.86/2.42 inference('cnf', [status(esa)], [clause46])).
% 12.86/2.42 thf(zip_derived_cl28, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.86/2.42 (~ (product @ X0 @ X1 @ X2)
% 12.86/2.42 | ~ (product @ X0 @ X1 @ X3)
% 12.86/2.42 | (equalish @ X2 @ X3))),
% 12.86/2.42 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 12.86/2.42 thf(zip_derived_cl224, plain,
% 12.86/2.42 (![X0 : $i]:
% 12.86/2.42 ( (equalish @ c @ X0) | ~ (product @ a @ (multiply @ b @ c) @ X0))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl28])).
% 12.86/2.42 thf(zip_derived_cl1765, plain,
% 12.86/2.42 (![X0 : $i]: (equalish @ c @ (multiply @ X0 @ c))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl224])).
% 12.86/2.42 thf(clause39, axiom, (product @ a @ c @ c)).
% 12.86/2.42 thf(zip_derived_cl40, plain, ( (product @ a @ c @ c)),
% 12.86/2.42 inference('cnf', [status(esa)], [clause39])).
% 12.86/2.42 thf(product_substitution3, axiom,
% 12.86/2.42 (( ~( equalish @ X @ Y ) ) | ( ~( product @ W @ Z @ X ) ) |
% 12.86/2.42 ( product @ W @ Z @ Y ))).
% 12.86/2.42 thf(zip_derived_cl9, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.86/2.42 (~ (equalish @ X0 @ X1)
% 12.86/2.42 | ~ (product @ X2 @ X3 @ X0)
% 12.86/2.42 | (product @ X2 @ X3 @ X1))),
% 12.86/2.42 inference('cnf', [status(esa)], [product_substitution3])).
% 12.86/2.42 thf(zip_derived_cl571, plain,
% 12.86/2.42 (![X0 : $i]: ( (product @ a @ c @ X0) | ~ (equalish @ c @ X0))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl9])).
% 12.86/2.42 thf(zip_derived_cl1813, plain,
% 12.86/2.42 (![X0 : $i]: (product @ a @ c @ (multiply @ X0 @ c))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl1765, zip_derived_cl571])).
% 12.86/2.42 thf(zip_derived_cl9, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.86/2.42 (~ (equalish @ X0 @ X1)
% 12.86/2.42 | ~ (product @ X2 @ X3 @ X0)
% 12.86/2.42 | (product @ X2 @ X3 @ X1))),
% 12.86/2.42 inference('cnf', [status(esa)], [product_substitution3])).
% 12.86/2.42 thf(zip_derived_cl2732, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i]:
% 12.86/2.42 ( (product @ a @ c @ X1) | ~ (equalish @ (multiply @ X0 @ c) @ X1))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl1813, zip_derived_cl9])).
% 12.86/2.42 thf(zip_derived_cl8297, plain, ( (product @ a @ c @ additive_identity)),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl7968, zip_derived_cl2732])).
% 12.86/2.42 thf(zip_derived_cl9, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.86/2.42 (~ (equalish @ X0 @ X1)
% 12.86/2.42 | ~ (product @ X2 @ X3 @ X0)
% 12.86/2.42 | (product @ X2 @ X3 @ X1))),
% 12.86/2.42 inference('cnf', [status(esa)], [product_substitution3])).
% 12.86/2.42 thf(zip_derived_cl8545, plain,
% 12.86/2.42 (![X0 : $i]:
% 12.86/2.42 ( (product @ a @ c @ X0) | ~ (equalish @ additive_identity @ X0))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl8297, zip_derived_cl9])).
% 12.86/2.42 thf(zip_derived_cl9181, plain, ( (product @ a @ c @ d)),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl9090, zip_derived_cl8545])).
% 12.86/2.42 thf(zip_derived_cl40, plain, ( (product @ a @ c @ c)),
% 12.86/2.42 inference('cnf', [status(esa)], [clause39])).
% 12.86/2.42 thf(zip_derived_cl28, plain,
% 12.86/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.86/2.42 (~ (product @ X0 @ X1 @ X2)
% 12.86/2.42 | ~ (product @ X0 @ X1 @ X3)
% 12.86/2.42 | (equalish @ X2 @ X3))),
% 12.86/2.42 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 12.86/2.42 thf(zip_derived_cl228, plain,
% 12.86/2.42 (![X0 : $i]: ( (equalish @ c @ X0) | ~ (product @ a @ c @ X0))),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl28])).
% 12.86/2.42 thf(zip_derived_cl9382, plain, ( (equalish @ c @ d)),
% 12.86/2.42 inference('sup-', [status(thm)], [zip_derived_cl9181, zip_derived_cl228])).
% 12.86/2.42 thf(zip_derived_cl9388, plain, ($false),
% 12.86/2.42 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl9382])).
% 12.86/2.42
% 12.86/2.42 % SZS output end Refutation
% 12.86/2.42
% 12.86/2.42
% 12.86/2.42 % Terminating...
% 12.94/2.46 % Runner terminated.
% 12.94/2.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------