TSTP Solution File: FLD001-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD001-3 : 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.E3ciZs2z0b true
% Computer : n029.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 22:39:03 EDT 2023
% Result : Unsatisfiable 3.31s 1.06s
% Output : Refutation 3.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD001-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E3ciZs2z0b true
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 23:48:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 3.31/1.06 % Solved by fo/fo13.sh.
% 3.31/1.06 % done 552 iterations in 0.285s
% 3.31/1.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.31/1.06 % SZS output start Refutation
% 3.31/1.06 thf(sum_type, type, sum: $i > $i > $i > $o).
% 3.31/1.06 thf(b_type, type, b: $i).
% 3.31/1.06 thf(a_type, type, a: $i).
% 3.31/1.06 thf(product_type, type, product: $i > $i > $i > $o).
% 3.31/1.06 thf(additive_identity_type, type, additive_identity: $i).
% 3.31/1.06 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 3.31/1.06 thf(defined_type, type, defined: $i > $o).
% 3.31/1.06 thf(not_product_4, conjecture, (product @ multiplicative_identity @ a @ b)).
% 3.31/1.06 thf(zf_stmt_0, negated_conjecture,
% 3.31/1.06 (~( product @ multiplicative_identity @ a @ b )),
% 3.31/1.06 inference('cnf.neg', [status(esa)], [not_product_4])).
% 3.31/1.06 thf(zip_derived_cl29, plain, (~ (product @ multiplicative_identity @ a @ b)),
% 3.31/1.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.31/1.06 thf(existence_of_identity_multiplication, axiom,
% 3.31/1.06 (( product @ multiplicative_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 3.31/1.06 thf(zip_derived_cl7, plain,
% 3.31/1.06 (![X0 : $i]:
% 3.31/1.06 ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 3.31/1.06 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 3.31/1.06 thf(commutativity_multiplication, axiom,
% 3.31/1.06 (( product @ Y @ X @ Z ) | ( ~( product @ X @ Y @ Z ) ))).
% 3.31/1.06 thf(zip_derived_cl9, plain,
% 3.31/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.31/1.06 ( (product @ X0 @ X1 @ X2) | ~ (product @ X1 @ X0 @ X2))),
% 3.31/1.06 inference('cnf', [status(esa)], [commutativity_multiplication])).
% 3.31/1.06 thf(zip_derived_cl34, plain,
% 3.31/1.06 (![X0 : $i]:
% 3.31/1.06 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 3.31/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 3.31/1.06 thf(zip_derived_cl34, plain,
% 3.31/1.06 (![X0 : $i]:
% 3.31/1.06 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 3.31/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 3.31/1.06 thf(existence_of_identity_addition, axiom,
% 3.31/1.06 (( sum @ additive_identity @ X @ X ) | ( ~( defined @ X ) ))).
% 3.31/1.06 thf(zip_derived_cl2, plain,
% 3.31/1.06 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 3.31/1.06 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 3.31/1.06 thf(sum_3, axiom, (sum @ additive_identity @ a @ b)).
% 3.31/1.06 thf(zip_derived_cl28, plain, ( (sum @ additive_identity @ a @ b)),
% 3.31/1.06 inference('cnf', [status(esa)], [sum_3])).
% 3.31/1.06 thf(zip_derived_cl2, plain,
% 3.31/1.06 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 3.31/1.06 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 3.31/1.06 thf(associativity_addition_1, axiom,
% 3.31/1.06 (( sum @ X @ V @ W ) | ( ~( sum @ X @ Y @ U ) ) |
% 3.31/1.06 ( ~( sum @ Y @ Z @ V ) ) | ( ~( sum @ U @ Z @ W ) ))).
% 3.31/1.06 thf(zip_derived_cl0, plain,
% 3.31/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.31/1.06 ( (sum @ X0 @ X1 @ X2)
% 3.31/1.06 | ~ (sum @ X0 @ X3 @ X4)
% 3.31/1.06 | ~ (sum @ X3 @ X5 @ X1)
% 3.31/1.06 | ~ (sum @ X4 @ X5 @ X2))),
% 3.31/1.06 inference('cnf', [status(esa)], [associativity_addition_1])).
% 3.31/1.06 thf(zip_derived_cl31, plain,
% 3.31/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.31/1.06 (~ (defined @ X0)
% 3.31/1.06 | (sum @ additive_identity @ X2 @ X1)
% 3.31/1.06 | ~ (sum @ X0 @ X3 @ X2)
% 3.31/1.06 | ~ (sum @ X0 @ X3 @ X1))),
% 3.31/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 3.31/1.06 thf(zip_derived_cl173, plain,
% 3.31/1.06 (![X0 : $i]:
% 3.31/1.06 (~ (defined @ additive_identity)
% 3.31/1.06 | (sum @ additive_identity @ b @ X0)
% 3.31/1.06 | ~ (sum @ additive_identity @ a @ X0))),
% 3.31/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl31])).
% 3.31/1.06 thf(well_definedness_of_additive_identity, axiom,
% 3.31/1.06 (defined @ additive_identity)).
% 3.31/1.06 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 3.31/1.06 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 3.31/1.06 thf(zip_derived_cl182, plain,
% 3.31/1.06 (![X0 : $i]:
% 3.31/1.06 ( (sum @ additive_identity @ b @ X0)
% 3.31/1.06 | ~ (sum @ additive_identity @ a @ X0))),
% 3.31/1.06 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl13])).
% 3.31/1.06 thf(zip_derived_cl257, plain,
% 3.31/1.06 ((~ (defined @ a) | (sum @ additive_identity @ b @ a))),
% 3.31/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl182])).
% 3.31/1.06 thf(a_is_defined, axiom, (defined @ a)).
% 3.31/1.06 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 3.31/1.06 inference('cnf', [status(esa)], [a_is_defined])).
% 3.31/1.06 thf(zip_derived_cl261, plain, ( (sum @ additive_identity @ b @ a)),
% 3.31/1.06 inference('demod', [status(thm)], [zip_derived_cl257, zip_derived_cl26])).
% 3.31/1.06 thf(commutativity_addition, axiom,
% 3.31/1.06 (( sum @ Y @ X @ Z ) | ( ~( sum @ X @ Y @ Z ) ))).
% 3.31/1.06 thf(zip_derived_cl4, plain,
% 3.31/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.31/1.06 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 3.31/1.06 inference('cnf', [status(esa)], [commutativity_addition])).
% 3.31/1.06 thf(zip_derived_cl275, plain, ( (sum @ b @ additive_identity @ a)),
% 3.31/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl261, zip_derived_cl4])).
% 3.31/1.06 thf(zip_derived_cl2, plain,
% 3.31/1.06 (![X0 : $i]: ( (sum @ additive_identity @ X0 @ X0) | ~ (defined @ X0))),
% 3.31/1.06 inference('cnf', [status(esa)], [existence_of_identity_addition])).
% 3.31/1.06 thf(zip_derived_cl4, plain,
% 3.31/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.31/1.06 ( (sum @ X0 @ X1 @ X2) | ~ (sum @ X1 @ X0 @ X2))),
% 3.31/1.06 inference('cnf', [status(esa)], [commutativity_addition])).
% 3.31/1.06 thf(zip_derived_cl32, plain,
% 3.31/1.06 (![X0 : $i]: (~ (defined @ X0) | (sum @ X0 @ additive_identity @ X0))),
% 3.31/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 3.31/1.06 thf(zip_derived_cl28, plain, ( (sum @ additive_identity @ a @ b)),
% 3.31/1.06 inference('cnf', [status(esa)], [sum_3])).
% 3.31/1.06 thf(zip_derived_cl0, plain,
% 3.31/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.31/1.06 ( (sum @ X0 @ X1 @ X2)
% 3.31/1.06 | ~ (sum @ X0 @ X3 @ X4)
% 3.31/1.06 | ~ (sum @ X3 @ X5 @ X1)
% 3.31/1.06 | ~ (sum @ X4 @ X5 @ X2))),
% 3.31/1.06 inference('cnf', [status(esa)], [associativity_addition_1])).
% 3.31/1.06 thf(zip_derived_cl30, plain,
% 3.31/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.31/1.06 ( (sum @ additive_identity @ X1 @ X0)
% 3.31/1.06 | ~ (sum @ a @ X2 @ X1)
% 3.31/1.06 | ~ (sum @ b @ X2 @ X0))),
% 3.31/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl0])).
% 3.31/1.06 thf(zip_derived_cl131, plain,
% 3.31/1.06 (![X0 : $i]:
% 3.31/1.06 (~ (defined @ a)
% 3.31/1.06 | (sum @ additive_identity @ a @ X0)
% 3.31/1.06 | ~ (sum @ b @ additive_identity @ X0))),
% 3.45/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl30])).
% 3.45/1.06 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 3.45/1.06 inference('cnf', [status(esa)], [a_is_defined])).
% 3.45/1.06 thf(zip_derived_cl135, plain,
% 3.45/1.06 (![X0 : $i]:
% 3.45/1.06 ( (sum @ additive_identity @ a @ X0)
% 3.45/1.06 | ~ (sum @ b @ additive_identity @ X0))),
% 3.45/1.06 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl26])).
% 3.45/1.06 thf(zip_derived_cl288, plain, ( (sum @ additive_identity @ a @ a)),
% 3.45/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl275, zip_derived_cl135])).
% 3.45/1.06 thf(zip_derived_cl34, plain,
% 3.45/1.06 (![X0 : $i]:
% 3.45/1.06 (~ (defined @ X0) | (product @ X0 @ multiplicative_identity @ X0))),
% 3.45/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 3.45/1.06 thf(zip_derived_cl28, plain, ( (sum @ additive_identity @ a @ b)),
% 3.45/1.06 inference('cnf', [status(esa)], [sum_3])).
% 3.45/1.06 thf(distributivity_2, axiom,
% 3.45/1.06 (( product @ A @ Z @ B ) | ( ~( sum @ X @ Y @ A ) ) |
% 3.45/1.06 ( ~( product @ X @ Z @ C ) ) | ( ~( product @ Y @ Z @ D ) ) |
% 3.45/1.06 ( ~( sum @ C @ D @ B ) ))).
% 3.45/1.06 thf(zip_derived_cl11, plain,
% 3.45/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.45/1.06 ( (product @ X0 @ X1 @ X2)
% 3.45/1.06 | ~ (sum @ X3 @ X4 @ X0)
% 3.45/1.06 | ~ (product @ X3 @ X1 @ X5)
% 3.45/1.06 | ~ (product @ X4 @ X1 @ X6)
% 3.45/1.06 | ~ (sum @ X5 @ X6 @ X2))),
% 3.45/1.06 inference('cnf', [status(esa)], [distributivity_2])).
% 3.45/1.06 thf(zip_derived_cl109, plain,
% 3.45/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.45/1.06 ( (product @ b @ X1 @ X0)
% 3.45/1.06 | ~ (product @ additive_identity @ X1 @ X2)
% 3.45/1.06 | ~ (product @ a @ X1 @ X3)
% 3.45/1.06 | ~ (sum @ X2 @ X3 @ X0))),
% 3.45/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl11])).
% 3.45/1.06 thf(zip_derived_cl2101, plain,
% 3.45/1.06 (![X0 : $i, X1 : $i]:
% 3.45/1.06 (~ (defined @ additive_identity)
% 3.45/1.06 | (product @ b @ multiplicative_identity @ X0)
% 3.45/1.06 | ~ (product @ a @ multiplicative_identity @ X1)
% 3.45/1.06 | ~ (sum @ additive_identity @ X1 @ X0))),
% 3.45/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl109])).
% 3.45/1.06 thf(zip_derived_cl13, plain, ( (defined @ additive_identity)),
% 3.45/1.06 inference('cnf', [status(esa)], [well_definedness_of_additive_identity])).
% 3.45/1.06 thf(zip_derived_cl2105, plain,
% 3.45/1.06 (![X0 : $i, X1 : $i]:
% 3.45/1.06 ( (product @ b @ multiplicative_identity @ X0)
% 3.45/1.06 | ~ (product @ a @ multiplicative_identity @ X1)
% 3.45/1.06 | ~ (sum @ additive_identity @ X1 @ X0))),
% 3.45/1.06 inference('demod', [status(thm)], [zip_derived_cl2101, zip_derived_cl13])).
% 3.45/1.06 thf(zip_derived_cl2117, plain,
% 3.45/1.06 (( (product @ b @ multiplicative_identity @ a)
% 3.45/1.06 | ~ (product @ a @ multiplicative_identity @ a))),
% 3.45/1.06 inference('s_sup-', [status(thm)],
% 3.45/1.06 [zip_derived_cl288, zip_derived_cl2105])).
% 3.45/1.06 thf(zip_derived_cl2129, plain,
% 3.45/1.06 ((~ (defined @ a) | (product @ b @ multiplicative_identity @ a))),
% 3.45/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl2117])).
% 3.45/1.06 thf(zip_derived_cl26, plain, ( (defined @ a)),
% 3.45/1.06 inference('cnf', [status(esa)], [a_is_defined])).
% 3.45/1.06 thf(zip_derived_cl2130, plain,
% 3.45/1.06 ( (product @ b @ multiplicative_identity @ a)),
% 3.45/1.06 inference('demod', [status(thm)], [zip_derived_cl2129, zip_derived_cl26])).
% 3.45/1.06 thf(zip_derived_cl7, plain,
% 3.45/1.06 (![X0 : $i]:
% 3.45/1.06 ( (product @ multiplicative_identity @ X0 @ X0) | ~ (defined @ X0))),
% 3.45/1.06 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 3.45/1.06 thf(associativity_multiplication_1, axiom,
% 3.45/1.06 (( product @ X @ V @ W ) | ( ~( product @ X @ Y @ U ) ) |
% 3.45/1.06 ( ~( product @ Y @ Z @ V ) ) | ( ~( product @ U @ Z @ W ) ))).
% 3.45/1.06 thf(zip_derived_cl5, plain,
% 3.45/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.45/1.06 ( (product @ X0 @ X1 @ X2)
% 3.45/1.06 | ~ (product @ X0 @ X3 @ X4)
% 3.45/1.06 | ~ (product @ X3 @ X5 @ X1)
% 3.45/1.06 | ~ (product @ X4 @ X5 @ X2))),
% 3.45/1.06 inference('cnf', [status(esa)], [associativity_multiplication_1])).
% 3.45/1.06 thf(zip_derived_cl57, plain,
% 3.45/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.45/1.06 (~ (defined @ X0)
% 3.45/1.06 | (product @ multiplicative_identity @ X2 @ X1)
% 3.45/1.06 | ~ (product @ X0 @ X3 @ X2)
% 3.45/1.06 | ~ (product @ X0 @ X3 @ X1))),
% 3.45/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 3.45/1.06 thf(zip_derived_cl2136, plain,
% 3.45/1.06 (![X0 : $i]:
% 3.45/1.06 (~ (defined @ b)
% 3.45/1.06 | (product @ multiplicative_identity @ a @ X0)
% 3.45/1.06 | ~ (product @ b @ multiplicative_identity @ X0))),
% 3.45/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl2130, zip_derived_cl57])).
% 3.45/1.06 thf(b_is_defined, axiom, (defined @ b)).
% 3.45/1.06 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 3.45/1.06 inference('cnf', [status(esa)], [b_is_defined])).
% 3.45/1.06 thf(zip_derived_cl2140, plain,
% 3.45/1.06 (![X0 : $i]:
% 3.45/1.06 ( (product @ multiplicative_identity @ a @ X0)
% 3.45/1.06 | ~ (product @ b @ multiplicative_identity @ X0))),
% 3.45/1.06 inference('demod', [status(thm)], [zip_derived_cl2136, zip_derived_cl27])).
% 3.45/1.06 thf(zip_derived_cl2162, plain,
% 3.45/1.06 ((~ (defined @ b) | (product @ multiplicative_identity @ a @ b))),
% 3.45/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl2140])).
% 3.45/1.06 thf(zip_derived_cl27, plain, ( (defined @ b)),
% 3.45/1.06 inference('cnf', [status(esa)], [b_is_defined])).
% 3.45/1.06 thf(zip_derived_cl2166, plain,
% 3.45/1.06 ( (product @ multiplicative_identity @ a @ b)),
% 3.45/1.06 inference('demod', [status(thm)], [zip_derived_cl2162, zip_derived_cl27])).
% 3.45/1.06 thf(zip_derived_cl2181, plain, ($false),
% 3.45/1.06 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl2166])).
% 3.45/1.06
% 3.45/1.06 % SZS output end Refutation
% 3.45/1.06
% 3.45/1.06
% 3.45/1.06 % Terminating...
% 3.79/1.17 % Runner terminated.
% 3.79/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------