TSTP Solution File: FLD043-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD043-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.r9AoCalsLo true
% Computer : n010.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 22:39:23 EDT 2023
% Result : Unsatisfiable 1.42s 0.85s
% Output : Refutation 1.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD043-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.r9AoCalsLo true
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 00:04:04 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.42/0.85 % Solved by fo/fo6_bce.sh.
% 1.42/0.85 % BCE start: 30
% 1.42/0.85 % BCE eliminated: 0
% 1.42/0.85 % PE start: 30
% 1.42/0.85 logic: neq
% 1.42/0.85 % PE eliminated: 0
% 1.42/0.85 % done 130 iterations in 0.101s
% 1.42/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.42/0.85 % SZS output start Refutation
% 1.42/0.85 thf(sum_type, type, sum: $i > $i > $i > $o).
% 1.42/0.85 thf(b_type, type, b: $i).
% 1.42/0.85 thf(a_type, type, a: $i).
% 1.42/0.85 thf(add_type, type, add: $i > $i > $i).
% 1.42/0.85 thf(product_type, type, product: $i > $i > $i > $o).
% 1.42/0.85 thf(additive_identity_type, type, additive_identity: $i).
% 1.42/0.85 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 1.42/0.85 thf(defined_type, type, defined: $i > $o).
% 1.42/0.85 thf(not_sum_4, conjecture, (sum @ additive_identity @ b @ additive_identity)).
% 1.42/0.85 thf(zf_stmt_0, negated_conjecture,
% 1.42/0.85 (~( sum @ additive_identity @ b @ additive_identity )),
% 1.42/0.85 inference('cnf.neg', [status(esa)], [not_sum_4])).
% 1.42/0.85 thf(zip_derived_cl29, plain,
% 1.42/0.85 (~ (sum @ additive_identity @ b @ additive_identity)),
% 1.42/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.42/0.85 thf(product_3, conjecture, (~( product @ additive_identity @ a @ b ))).
% 1.42/0.85 thf(zf_stmt_1, negated_conjecture, (product @ additive_identity @ a @ b),
% 1.42/0.85 inference('cnf.neg', [status(esa)], [product_3])).
% 1.42/0.85 thf(zip_derived_cl28, plain, ( (product @ additive_identity @ a @ b)),
% 1.42/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.42/0.85 thf(zip_derived_cl28, plain, ( (product @ additive_identity @ a @ b)),
% 1.42/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.42/0.85 thf(distributivity_1, axiom,
% 1.42/0.85 (( sum @ C @ D @ B ) | ( ~( sum @ X @ Y @ A ) ) |
% 1.42/0.85 ( ~( product @ A @ Z @ B ) ) | ( ~( product @ X @ Z @ C ) ) |
% 1.42/0.85 ( ~( product @ Y @ Z @ D ) ))).
% 1.42/0.85 thf(zip_derived_cl10, plain,
% 1.42/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.42/0.85 ( (sum @ X0 @ X1 @ X2)
% 1.42/0.85 | ~ (sum @ X3 @ X4 @ X5)
% 1.42/0.85 | ~ (product @ X5 @ X6 @ X2)
% 1.42/0.85 | ~ (product @ X3 @ X6 @ X0)
% 1.42/0.85 | ~ (product @ X4 @ X6 @ X1))),
% 1.42/0.85 inference('cnf', [status(esa)], [distributivity_1])).
% 1.42/0.85 thf(zip_derived_cl98, plain,
% 1.42/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.42/0.85 ( (sum @ X1 @ X0 @ b)
% 1.42/0.85 | ~ (sum @ X3 @ X2 @ additive_identity)
% 1.42/0.85 | ~ (product @ X3 @ a @ X1)
% 1.42/0.85 | ~ (product @ X2 @ a @ X0))),
% 1.42/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl10])).
% 1.42/0.85 thf(zip_derived_cl325, plain,
% 1.42/0.85 (![X0 : $i, X1 : $i]:
% 1.42/0.85 (~ (product @ X1 @ a @ X0)
% 1.42/0.85 | ~ (sum @ X1 @ X1 @ additive_identity)
% 1.42/0.85 | (sum @ X0 @ X0 @ b))),
% 1.42/0.85 inference('eq_fact', [status(thm)], [zip_derived_cl98])).
% 1.42/0.85 thf(zip_derived_cl527, plain,
% 1.42/0.85 ((~ (sum @ additive_identity @ additive_identity @ additive_identity)
% 1.42/0.85 | (sum @ b @ b @ b))),
% 1.42/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl325])).
% 1.42/0.85 thf(totality_of_addition, axiom,
% 1.42/0.85 (( sum @ X @ Y @ ( add @ X @ Y ) ) | ( ~( defined @ X ) ) |
% 1.42/0.85 ( ~( defined @ Y ) ))).
% 1.42/0.85 thf(zip_derived_cl18, plain,
% 1.42/0.85 (![X0 : $i, X1 : $i]:
% 1.42/0.85 ( (sum @ X0 @ X1 @ (add @ X0 @ X1))
% 1.42/0.85 | ~ (defined @ X0)
% 1.42/0.85 | ~ (defined @ X1))),
% 1.42/0.85 inference('cnf', [status(esa)], [totality_of_addition])).
% 1.42/0.85 thf(existence_of_identity_addition, axiom,
% 1.42/0.85 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 1.42/0.85 thf(zip_derived_cl2, plain,
% 1.42/0.85 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 1.42/0.85 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 1.42/0.85 thf(associativity_addition_1, axiom,
% 1.42/0.85 (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 1.42/0.85 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 1.42/0.85 thf(zip_derived_cl0, plain,
% 1.42/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.42/0.85 ( (sum @ X0 @ X1 @ X2)
% 1.42/0.85 | ~ (sum @ X0 @ X3 @ X4)
% 1.42/0.85 | ~ (sum @ X3 @ X5 @ X1)
% 1.42/0.85 | ~ (sum @ X4 @ X5 @ X2))),
% 1.42/0.85 inference('cnf', [status(esa)], [associativity_addition_1])).
% 1.42/0.85 thf(zip_derived_cl32, plain,
% 1.42/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.85 (~ (sum @ X0 @ X1 @ X0)
% 1.42/0.85 | ~ (sum @ X1 @ X1 @ X2)
% 1.42/0.85 | (sum @ X0 @ X2 @ X0))),
% 1.42/0.85 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 1.42/0.85 thf(zip_derived_cl55, plain,
% 1.42/0.85 (![X0 : $i]:
% 1.42/0.85 (~ (defined @ additive_identity)
% 1.42/0.85 | ~ (sum @ additive_identity @ additive_identity @ X0)
% 1.42/0.85 | (sum @ additive_identity @ X0 @ additive_identity))),
% 1.42/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl32])).
% 1.42/0.85 thf(well_definedness_of_additive_identity, axiom,
% 1.42/0.85 (defined @ additive_identity)).
% 1.42/0.85 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 1.42/0.85 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 1.42/0.85 thf(zip_derived_cl58, plain,
% 1.42/0.85 (![X0 : $i]:
% 1.42/0.85 (~ (sum @ additive_identity @ additive_identity @ X0)
% 1.42/0.85 | (sum @ additive_identity @ X0 @ additive_identity))),
% 1.42/0.85 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl13])).
% 1.42/0.85 thf(zip_derived_cl156, plain,
% 1.42/0.85 ((~ (defined @ additive_identity)
% 1.42/0.85 | ~ (defined @ additive_identity)
% 1.42/0.85 | (sum @ additive_identity @
% 1.42/0.85 (add @ additive_identity @ additive_identity) @ additive_identity))),
% 1.42/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl58])).
% 1.42/0.85 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 1.42/0.85 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 1.42/0.85 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 1.42/0.85 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 1.42/0.85 thf(zip_derived_cl159, plain,
% 1.42/0.85 ( (sum @ additive_identity @
% 1.42/0.85 (add @ additive_identity @ additive_identity) @ additive_identity)),
% 1.42/0.85 inference('demod', [status(thm)],
% 1.42/0.85 [zip_derived_cl156, zip_derived_cl13, zip_derived_cl13])).
% 1.42/0.85 thf(commutativity_addition, axiom,
% 1.42/0.85 (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 1.42/0.85 thf(zip_derived_cl4, plain,
% 1.42/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.85 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 1.42/0.85 inference('cnf', [status(esa)], [commutativity_addition])).
% 1.42/0.85 thf(zip_derived_cl164, plain,
% 1.42/0.85 ( (sum @ (add @ additive_identity @ additive_identity) @
% 1.42/0.85 additive_identity @ additive_identity)),
% 1.42/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl4])).
% 1.42/0.85 thf(zip_derived_cl2, plain,
% 1.42/0.85 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 1.42/0.85 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 1.42/0.85 thf(zip_derived_cl4, plain,
% 1.42/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.85 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 1.42/0.85 inference('cnf', [status(esa)], [commutativity_addition])).
% 1.42/0.85 thf(zip_derived_cl44, plain,
% 1.42/0.85 (![X0 : $i]: (~ (defined @ X0) | (sum @ X0 @ additive_identity @ X0))),
% 1.42/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 1.42/0.85 thf(zip_derived_cl164, plain,
% 1.42/0.85 ( (sum @ (add @ additive_identity @ additive_identity) @
% 1.42/0.85 additive_identity @ additive_identity)),
% 1.42/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl4])).
% 1.42/0.85 thf(associativity_addition_2, axiom,
% 1.42/0.85 (( sum @ U @ Z @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 1.42/0.85 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ X @ V @ W ) ))).
% 1.42/0.85 thf(zip_derived_cl1, plain,
% 1.42/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.42/0.85 ( (sum @ X0 @ X1 @ X2)
% 1.42/0.85 | ~ (sum @ X3 @ X4 @ X0)
% 1.42/0.85 | ~ (sum @ X4 @ X1 @ X5)
% 1.42/0.85 | ~ (sum @ X3 @ X5 @ X2))),
% 1.42/0.85 inference('cnf', [status(esa)], [associativity_addition_2])).
% 1.42/0.85 thf(zip_derived_cl171, plain,
% 1.42/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.85 ( (sum @ additive_identity @ X1 @ X0)
% 1.42/0.85 | ~ (sum @ additive_identity @ X1 @ X2)
% 1.42/0.85 | ~ (sum @ (add @ additive_identity @ additive_identity) @ X2 @ X0))),
% 1.42/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl1])).
% 1.42/0.85 thf(zip_derived_cl182, plain,
% 1.42/0.85 (![X0 : $i]:
% 1.42/0.85 (~ (defined @ additive_identity)
% 1.42/0.85 | (sum @ additive_identity @ additive_identity @ X0)
% 1.42/0.85 | ~ (sum @ (add @ additive_identity @ additive_identity) @
% 1.42/0.85 additive_identity @ X0))),
% 1.42/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl171])).
% 1.42/0.85 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 1.42/0.85 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 1.42/0.85 thf(zip_derived_cl189, plain,
% 1.42/0.85 (![X0 : $i]:
% 1.42/0.85 ( (sum @ additive_identity @ additive_identity @ X0)
% 1.42/0.85 | ~ (sum @ (add @ additive_identity @ additive_identity) @
% 1.42/0.85 additive_identity @ X0))),
% 1.42/0.85 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl13])).
% 1.42/0.85 thf(zip_derived_cl207, plain,
% 1.42/0.85 ( (sum @ additive_identity @ additive_identity @ additive_identity)),
% 1.42/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl189])).
% 1.42/0.85 thf(zip_derived_cl534, plain, ( (sum @ b @ b @ b)),
% 1.42/0.85 inference('demod', [status(thm)], [zip_derived_cl527, zip_derived_cl207])).
% 1.42/0.85 thf(existence_of_inverse_addition, axiom,
% 1.42/0.85 (( sum @ ( additive_inverse @ X ) @ X @ additive_identity ) |
% 1.42/0.85 ( ~( defined @ X ) ))).
% 1.42/0.85 thf(zip_derived_cl3, plain,
% 1.42/0.85 (![X0 : $i]:
% 1.42/0.85 ( (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)
% 1.42/0.85 | ~ (defined @ X0))),
% 1.42/0.85 inference('cnf', [status(esa)], [existence_of_inverse_addition])).
% 1.42/0.85 thf(zip_derived_cl1, plain,
% 1.42/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.42/0.85 ( (sum @ X0 @ X1 @ X2)
% 1.42/0.85 | ~ (sum @ X3 @ X4 @ X0)
% 1.42/0.85 | ~ (sum @ X4 @ X1 @ X5)
% 1.42/0.85 | ~ (sum @ X3 @ X5 @ X2))),
% 1.42/0.85 inference('cnf', [status(esa)], [associativity_addition_2])).
% 1.42/0.85 thf(zip_derived_cl35, plain,
% 1.42/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.42/0.85 (~ (sum @ X2 @ X1 @ X0)
% 1.42/0.85 | ~ (sum @ X1 @ X3 @ X1)
% 1.42/0.85 | (sum @ X0 @ X3 @ X0))),
% 1.42/0.85 inference('eq_fact', [status(thm)], [zip_derived_cl1])).
% 1.42/0.85 thf(zip_derived_cl107, plain,
% 1.42/0.85 (![X0 : $i, X1 : $i]:
% 1.42/0.85 (~ (defined @ X0)
% 1.42/0.85 | ~ (sum @ X0 @ X1 @ X0)
% 1.42/0.85 | (sum @ additive_identity @ X1 @ additive_identity))),
% 1.42/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl35])).
% 1.42/0.85 thf(zip_derived_cl554, plain,
% 1.42/0.85 ((~ (defined @ b) | (sum @ additive_identity @ b @ additive_identity))),
% 1.42/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl534, zip_derived_cl107])).
% 1.42/0.85 thf(b_is_defined, axiom, (defined @ b)).
% 1.42/0.85 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 1.42/0.85 inference('cnf', [status(esa)], [b_is_defined])).
% 1.42/0.85 thf(zip_derived_cl556, plain,
% 1.42/0.85 ( (sum @ additive_identity @ b @ additive_identity)),
% 1.42/0.85 inference('demod', [status(thm)], [zip_derived_cl554, zip_derived_cl27])).
% 1.42/0.85 thf(zip_derived_cl566, plain, ($false),
% 1.42/0.85 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl556])).
% 1.42/0.85
% 1.42/0.85 % SZS output end Refutation
% 1.42/0.85
% 1.42/0.85
% 1.42/0.85 % Terminating...
% 1.66/0.98 % Runner terminated.
% 1.66/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------