TSTP Solution File: FLD016-5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD016-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0aTmQj85vD true
% Computer : n001.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 : Wed Aug 30 22:39:11 EDT 2023
% Result : Unsatisfiable 1.72s 1.19s
% Output : Refutation 1.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD016-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0aTmQj85vD true
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 00:21:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.72/1.19 % Solved by fo/fo5.sh.
% 1.72/1.19 % done 1139 iterations in 0.404s
% 1.72/1.19 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.72/1.19 % SZS output start Refutation
% 1.72/1.19 thf(sum_type, type, sum: $i > $i > $i > $o).
% 1.72/1.19 thf(u_type, type, u: $i).
% 1.72/1.19 thf(a_type, type, a: $i).
% 1.72/1.19 thf(q_type, type, q: $i).
% 1.72/1.19 thf(additive_identity_type, type, additive_identity: $i).
% 1.72/1.19 thf(v_type, type, v: $i).
% 1.72/1.19 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 1.72/1.19 thf(r_type, type, r: $i).
% 1.72/1.19 thf(defined_type, type, defined: $i > $o).
% 1.72/1.19 thf(not_sum_9, conjecture, (sum @ additive_identity @ u @ v)).
% 1.72/1.19 thf(zf_stmt_0, negated_conjecture, (~( sum @ additive_identity @ u @ v )),
% 1.72/1.19 inference('cnf.neg', [status(esa)], [not_sum_9])).
% 1.72/1.19 thf(zip_derived_cl34, plain, (~ (sum @ additive_identity @ u @ v)),
% 1.72/1.19 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.72/1.19 thf(existence_of_identity_addition, axiom,
% 1.72/1.19 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 1.72/1.19 thf(zip_derived_cl2, plain,
% 1.72/1.19 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 1.72/1.19 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 1.72/1.19 thf(commutativity_addition, axiom,
% 1.72/1.19 (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 1.72/1.19 thf(zip_derived_cl4, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.72/1.19 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 1.72/1.19 inference('cnf', [status(esa)], [commutativity_addition])).
% 1.72/1.19 thf(zip_derived_cl52, plain,
% 1.72/1.19 (![X0 : $i]: (~ (defined @ X0) | (sum @ X0 @ additive_identity @ X0))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 1.72/1.19 thf(sum_8, conjecture, (~( sum @ additive_identity @ q @ r ))).
% 1.72/1.19 thf(zf_stmt_1, negated_conjecture, (sum @ additive_identity @ q @ r),
% 1.72/1.19 inference('cnf.neg', [status(esa)], [sum_8])).
% 1.72/1.19 thf(zip_derived_cl33, plain, ( (sum @ additive_identity @ q @ r)),
% 1.72/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.72/1.19 thf(zip_derived_cl2, plain,
% 1.72/1.19 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 1.72/1.19 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 1.72/1.19 thf(zip_derived_cl2, plain,
% 1.72/1.19 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 1.72/1.19 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 1.72/1.19 thf(zip_derived_cl2, plain,
% 1.72/1.19 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 1.72/1.19 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 1.72/1.19 thf(associativity_addition_1, axiom,
% 1.72/1.19 (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 1.72/1.19 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 1.72/1.19 thf(zip_derived_cl0, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.72/1.19 ( (sum @ X0 @ X1 @ X2)
% 1.72/1.19 | ~ (sum @ X0 @ X3 @ X4)
% 1.72/1.19 | ~ (sum @ X3 @ X5 @ X1)
% 1.72/1.19 | ~ (sum @ X4 @ X5 @ X2))),
% 1.72/1.19 inference('cnf', [status(esa)], [associativity_addition_1])).
% 1.72/1.19 thf(zip_derived_cl39, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.72/1.19 (~ (sum @ X0 @ X1 @ X0)
% 1.72/1.19 | ~ (sum @ X1 @ X1 @ X2)
% 1.72/1.19 | (sum @ X0 @ X2 @ X0))),
% 1.72/1.19 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 1.72/1.19 thf(zip_derived_cl50, plain,
% 1.72/1.19 (![X0 : $i]:
% 1.72/1.19 (~ (defined @ additive_identity)
% 1.72/1.19 | (sum @ additive_identity @ X0 @ additive_identity)
% 1.72/1.19 | ~ (sum @ additive_identity @ additive_identity @ X0))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl39])).
% 1.72/1.19 thf(well_definedness_of_additive_identity, axiom,
% 1.72/1.19 (defined @ additive_identity)).
% 1.72/1.19 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 1.72/1.19 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 1.72/1.19 thf(zip_derived_cl51, plain,
% 1.72/1.19 (![X0 : $i]:
% 1.72/1.19 ( (sum @ additive_identity @ X0 @ additive_identity)
% 1.72/1.19 | ~ (sum @ additive_identity @ additive_identity @ X0))),
% 1.72/1.19 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl13])).
% 1.72/1.19 thf(zip_derived_cl73, plain,
% 1.72/1.19 ((~ (defined @ additive_identity)
% 1.72/1.19 | (sum @ additive_identity @ additive_identity @ additive_identity))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl51])).
% 1.72/1.19 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 1.72/1.19 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 1.72/1.19 thf(zip_derived_cl75, plain,
% 1.72/1.19 ( (sum @ additive_identity @ additive_identity @ additive_identity)),
% 1.72/1.19 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl13])).
% 1.72/1.19 thf(zip_derived_cl0, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.72/1.19 ( (sum @ X0 @ X1 @ X2)
% 1.72/1.19 | ~ (sum @ X0 @ X3 @ X4)
% 1.72/1.19 | ~ (sum @ X3 @ X5 @ X1)
% 1.72/1.19 | ~ (sum @ X4 @ X5 @ X2))),
% 1.72/1.19 inference('cnf', [status(esa)], [associativity_addition_1])).
% 1.72/1.19 thf(zip_derived_cl76, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.72/1.19 (~ (sum @ additive_identity @ X1 @ X0)
% 1.72/1.19 | ~ (sum @ additive_identity @ X1 @ X2)
% 1.72/1.19 | (sum @ additive_identity @ X2 @ X0))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 1.72/1.19 thf(zip_derived_cl121, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i]:
% 1.72/1.19 (~ (defined @ X0)
% 1.72/1.19 | (sum @ additive_identity @ X1 @ X0)
% 1.72/1.19 | ~ (sum @ additive_identity @ X0 @ X1))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl76])).
% 1.72/1.19 thf(zip_derived_cl166, plain,
% 1.72/1.19 (( (sum @ additive_identity @ r @ q) | ~ (defined @ q))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl121])).
% 1.72/1.19 thf(q_is_defined, axiom, (defined @ q)).
% 1.72/1.19 thf(zip_derived_cl29, plain, ( (defined @ q)),
% 1.72/1.19 inference('cnf', [status(esa)], [q_is_defined])).
% 1.72/1.19 thf(zip_derived_cl173, plain, ( (sum @ additive_identity @ r @ q)),
% 1.72/1.19 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl29])).
% 1.72/1.19 thf(zip_derived_cl4, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.72/1.19 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 1.72/1.19 inference('cnf', [status(esa)], [commutativity_addition])).
% 1.72/1.19 thf(zip_derived_cl177, plain, ( (sum @ r @ additive_identity @ q)),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl4])).
% 1.72/1.19 thf(sum_7, conjecture, (~( sum @ a @ v @ r ))).
% 1.72/1.19 thf(zf_stmt_2, negated_conjecture, (sum @ a @ v @ r),
% 1.72/1.19 inference('cnf.neg', [status(esa)], [sum_7])).
% 1.72/1.19 thf(zip_derived_cl32, plain, ( (sum @ a @ v @ r)),
% 1.72/1.19 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.72/1.19 thf(zip_derived_cl0, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.72/1.19 ( (sum @ X0 @ X1 @ X2)
% 1.72/1.19 | ~ (sum @ X0 @ X3 @ X4)
% 1.72/1.19 | ~ (sum @ X3 @ X5 @ X1)
% 1.72/1.19 | ~ (sum @ X4 @ X5 @ X2))),
% 1.72/1.19 inference('cnf', [status(esa)], [associativity_addition_1])).
% 1.72/1.19 thf(zip_derived_cl36, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.72/1.19 (~ (sum @ r @ X1 @ X0) | ~ (sum @ v @ X1 @ X2) | (sum @ a @ X2 @ X0))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 1.72/1.19 thf(zip_derived_cl902, plain,
% 1.72/1.19 (![X0 : $i]: ( (sum @ a @ X0 @ q) | ~ (sum @ v @ additive_identity @ X0))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl177, zip_derived_cl36])).
% 1.72/1.19 thf(zip_derived_cl912, plain, ((~ (defined @ v) | (sum @ a @ v @ q))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl902])).
% 1.72/1.19 thf(v_is_defined, axiom, (defined @ v)).
% 1.72/1.19 thf(zip_derived_cl28, plain, ( (defined @ v)),
% 1.72/1.19 inference('cnf', [status(esa)], [v_is_defined])).
% 1.72/1.19 thf(zip_derived_cl914, plain, ( (sum @ a @ v @ q)),
% 1.72/1.19 inference('demod', [status(thm)], [zip_derived_cl912, zip_derived_cl28])).
% 1.72/1.19 thf(existence_of_inverse_addition, axiom,
% 1.72/1.19 (( sum @ ( additive_inverse @ X ) @ X @ additive_identity ) |
% 1.72/1.19 ( ~( defined @ X ) ))).
% 1.72/1.19 thf(zip_derived_cl3, plain,
% 1.72/1.19 (![X0 : $i]:
% 1.72/1.19 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 1.72/1.19 | ~ (defined @ X0))),
% 1.72/1.19 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 1.72/1.19 thf(zip_derived_cl4, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.72/1.19 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 1.72/1.19 inference('cnf', [status(esa)], [commutativity_addition])).
% 1.72/1.19 thf(zip_derived_cl89, plain,
% 1.72/1.19 (![X0 : $i]:
% 1.72/1.19 (~ (defined @ X0)
% 1.72/1.19 | (sum @ X0 @ (additive_inverse @ X0) @ additive_identity))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 1.72/1.19 thf(zip_derived_cl52, plain,
% 1.72/1.19 (![X0 : $i]: (~ (defined @ X0) | (sum @ X0 @ additive_identity @ X0))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 1.72/1.19 thf(sum_6, conjecture, (~( sum @ a @ u @ q ))).
% 1.72/1.19 thf(zf_stmt_3, negated_conjecture, (sum @ a @ u @ q),
% 1.72/1.19 inference('cnf.neg', [status(esa)], [sum_6])).
% 1.72/1.19 thf(zip_derived_cl31, plain, ( (sum @ a @ u @ q)),
% 1.72/1.19 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.72/1.19 thf(zip_derived_cl4, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.72/1.19 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 1.72/1.19 inference('cnf', [status(esa)], [commutativity_addition])).
% 1.72/1.19 thf(zip_derived_cl54, plain, ( (sum @ u @ a @ q)),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl4])).
% 1.72/1.19 thf(associativity_addition_2, axiom,
% 1.72/1.19 (( sum @ U @ Z @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 1.72/1.19 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ X @ V @ W ) ))).
% 1.72/1.19 thf(zip_derived_cl1, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.72/1.19 ( (sum @ X0 @ X1 @ X2)
% 1.72/1.19 | ~ (sum @ X3 @ X4 @ X0)
% 1.72/1.19 | ~ (sum @ X4 @ X1 @ X5)
% 1.72/1.19 | ~ (sum @ X3 @ X5 @ X2))),
% 1.72/1.19 inference('cnf', [status(esa)], [associativity_addition_2])).
% 1.72/1.19 thf(zip_derived_cl67, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.72/1.19 (~ (sum @ u @ X1 @ X0) | ~ (sum @ a @ X2 @ X1) | (sum @ q @ X2 @ X0))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl1])).
% 1.72/1.19 thf(zip_derived_cl1562, plain,
% 1.72/1.19 (![X0 : $i]:
% 1.72/1.19 (~ (defined @ u)
% 1.72/1.19 | (sum @ q @ X0 @ u)
% 1.72/1.19 | ~ (sum @ a @ X0 @ additive_identity))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl67])).
% 1.72/1.19 thf(u_is_defined, axiom, (defined @ u)).
% 1.72/1.19 thf(zip_derived_cl27, plain, ( (defined @ u)),
% 1.72/1.19 inference('cnf', [status(esa)], [u_is_defined])).
% 1.72/1.19 thf(zip_derived_cl1567, plain,
% 1.72/1.19 (![X0 : $i]: ( (sum @ q @ X0 @ u) | ~ (sum @ a @ X0 @ additive_identity))),
% 1.72/1.19 inference('demod', [status(thm)], [zip_derived_cl1562, zip_derived_cl27])).
% 1.72/1.19 thf(zip_derived_cl2686, plain,
% 1.72/1.19 ((~ (defined @ a) | (sum @ q @ (additive_inverse @ a) @ u))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl1567])).
% 1.72/1.19 thf(a_is_defined, axiom, (defined @ a)).
% 1.72/1.19 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 1.72/1.19 inference('cnf', [status(esa)], [a_is_defined])).
% 1.72/1.19 thf(zip_derived_cl2688, plain, ( (sum @ q @ (additive_inverse @ a) @ u)),
% 1.72/1.19 inference('demod', [status(thm)], [zip_derived_cl2686, zip_derived_cl26])).
% 1.72/1.19 thf(zip_derived_cl4, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.72/1.19 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 1.72/1.19 inference('cnf', [status(esa)], [commutativity_addition])).
% 1.72/1.19 thf(zip_derived_cl2692, plain, ( (sum @ (additive_inverse @ a) @ q @ u)),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl2688, zip_derived_cl4])).
% 1.72/1.19 thf(zip_derived_cl3, plain,
% 1.72/1.19 (![X0 : $i]:
% 1.72/1.19 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 1.72/1.19 | ~ (defined @ X0))),
% 1.72/1.19 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 1.72/1.19 thf(zip_derived_cl1, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.72/1.19 ( (sum @ X0 @ X1 @ X2)
% 1.72/1.19 | ~ (sum @ X3 @ X4 @ X0)
% 1.72/1.19 | ~ (sum @ X4 @ X1 @ X5)
% 1.72/1.19 | ~ (sum @ X3 @ X5 @ X2))),
% 1.72/1.19 inference('cnf', [status(esa)], [associativity_addition_2])).
% 1.72/1.19 thf(zip_derived_cl88, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.72/1.19 (~ (defined @ X0)
% 1.72/1.19 | ~ (sum @ (additive_inverse @ X0) @ X2 @ X1)
% 1.72/1.19 | ~ (sum @ X0 @ X3 @ X2)
% 1.72/1.19 | (sum @ additive_identity @ X3 @ X1))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.72/1.19 thf(zip_derived_cl2778, plain,
% 1.72/1.19 (![X0 : $i]:
% 1.72/1.19 ( (sum @ additive_identity @ X0 @ u)
% 1.72/1.19 | ~ (sum @ a @ X0 @ q)
% 1.72/1.19 | ~ (defined @ a))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl2692, zip_derived_cl88])).
% 1.72/1.19 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 1.72/1.19 inference('cnf', [status(esa)], [a_is_defined])).
% 1.72/1.19 thf(zip_derived_cl2779, plain,
% 1.72/1.19 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ u) | ~ (sum @ a @ X0 @ q))),
% 1.72/1.19 inference('demod', [status(thm)], [zip_derived_cl2778, zip_derived_cl26])).
% 1.72/1.19 thf(zip_derived_cl4380, plain, ( (sum @ additive_identity @ v @ u)),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl914, zip_derived_cl2779])).
% 1.72/1.19 thf(zip_derived_cl121, plain,
% 1.72/1.19 (![X0 : $i, X1 : $i]:
% 1.72/1.19 (~ (defined @ X0)
% 1.72/1.19 | (sum @ additive_identity @ X1 @ X0)
% 1.72/1.19 | ~ (sum @ additive_identity @ X0 @ X1))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl76])).
% 1.72/1.19 thf(zip_derived_cl4453, plain,
% 1.72/1.19 (( (sum @ additive_identity @ u @ v) | ~ (defined @ v))),
% 1.72/1.19 inference('sup-', [status(thm)], [zip_derived_cl4380, zip_derived_cl121])).
% 1.72/1.19 thf(zip_derived_cl28, plain, ( (defined @ v)),
% 1.72/1.19 inference('cnf', [status(esa)], [v_is_defined])).
% 1.72/1.19 thf(zip_derived_cl4471, plain, ( (sum @ additive_identity @ u @ v)),
% 1.72/1.19 inference('demod', [status(thm)], [zip_derived_cl4453, zip_derived_cl28])).
% 1.72/1.19 thf(zip_derived_cl4495, plain, ($false),
% 1.72/1.19 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl4471])).
% 1.72/1.19
% 1.72/1.19 % SZS output end Refutation
% 1.72/1.19
% 1.72/1.19
% 1.72/1.19 % Terminating...
% 1.75/1.27 % Runner terminated.
% 1.75/1.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------