TSTP Solution File: NUM004-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM004-1 : 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.TDlB2b1ZuE true
% Computer : n021.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 12:38:55 EDT 2023
% Result : Unsatisfiable 1.58s 0.84s
% Output : Refutation 1.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TDlB2b1ZuE true
% 0.14/0.35 % Computer : n021.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 : Fri Aug 25 10:37:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.58/0.84 % Solved by fo/fo13.sh.
% 1.58/0.84 % done 60 iterations in 0.036s
% 1.58/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.58/0.84 % SZS output start Refutation
% 1.58/0.84 thf(subtract_type, type, subtract: $i > $i > $i).
% 1.58/0.84 thf(add_type, type, add: $i > $i > $i).
% 1.58/0.84 thf(a_type, type, a: $i).
% 1.58/0.84 thf(b_type, type, b: $i).
% 1.58/0.84 thf(c_type, type, c: $i).
% 1.58/0.84 thf(equalish_type, type, equalish: $i > $i > $o).
% 1.58/0.84 thf(commutativity_of_addition, axiom,
% 1.58/0.84 (equalish @ ( add @ A @ B ) @ ( add @ B @ A ))).
% 1.58/0.84 thf(zip_derived_cl2, plain,
% 1.58/0.84 (![X0 : $i, X1 : $i]: (equalish @ (add @ X0 @ X1) @ (add @ X1 @ X0))),
% 1.58/0.84 inference('cnf', [status(esa)], [commutativity_of_addition])).
% 1.58/0.84 thf(commutativity2, axiom,
% 1.58/0.84 (equalish @
% 1.58/0.84 ( subtract @ ( add @ A @ B ) @ C ) @ ( add @ ( subtract @ A @ C ) @ B ))).
% 1.58/0.84 thf(zip_derived_cl7, plain,
% 1.58/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.58/0.84 (equalish @ (subtract @ (add @ X0 @ X1) @ X2) @
% 1.58/0.84 (add @ (subtract @ X0 @ X2) @ X1))),
% 1.58/0.84 inference('cnf', [status(esa)], [commutativity2])).
% 1.58/0.84 thf(zip_derived_cl2, plain,
% 1.58/0.84 (![X0 : $i, X1 : $i]: (equalish @ (add @ X0 @ X1) @ (add @ X1 @ X0))),
% 1.58/0.84 inference('cnf', [status(esa)], [commutativity_of_addition])).
% 1.58/0.84 thf(prove_equation, conjecture,
% 1.58/0.84 (equalish @
% 1.58/0.84 ( subtract @ ( add @ a @ b ) @ c ) @ ( add @ a @ ( subtract @ b @ c ) ))).
% 1.58/0.84 thf(zf_stmt_0, negated_conjecture,
% 1.58/0.84 (~( equalish @
% 1.58/0.84 ( subtract @ ( add @ a @ b ) @ c ) @ ( add @ a @ ( subtract @ b @ c ) ) )),
% 1.58/0.84 inference('cnf.neg', [status(esa)], [prove_equation])).
% 1.58/0.84 thf(zip_derived_cl12, plain,
% 1.58/0.84 (~ (equalish @ (subtract @ (add @ a @ b) @ c) @
% 1.58/0.84 (add @ a @ (subtract @ b @ c)))),
% 1.58/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.58/0.84 thf(transitivity, axiom,
% 1.58/0.84 (( ~( equalish @ A @ B ) ) | ( ~( equalish @ B @ C ) ) |
% 1.58/0.84 ( equalish @ A @ C ))).
% 1.58/0.84 thf(zip_derived_cl1, plain,
% 1.58/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.58/0.84 (~ (equalish @ X0 @ X1)
% 1.58/0.84 | ~ (equalish @ X1 @ X2)
% 1.58/0.84 | (equalish @ X0 @ X2))),
% 1.58/0.84 inference('cnf', [status(esa)], [transitivity])).
% 1.58/0.84 thf(zip_derived_cl15, plain,
% 1.58/0.84 (![X0 : $i]:
% 1.58/0.84 (~ (equalish @ (subtract @ (add @ a @ b) @ c) @ X0)
% 1.58/0.84 | ~ (equalish @ X0 @ (add @ a @ (subtract @ b @ c))))),
% 1.58/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 1.58/0.84 thf(zip_derived_cl1, plain,
% 1.58/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.58/0.84 (~ (equalish @ X0 @ X1)
% 1.58/0.84 | ~ (equalish @ X1 @ X2)
% 1.58/0.84 | (equalish @ X0 @ X2))),
% 1.58/0.84 inference('cnf', [status(esa)], [transitivity])).
% 1.58/0.84 thf(zip_derived_cl19, plain,
% 1.58/0.84 (![X0 : $i, X1 : $i]:
% 1.58/0.84 (~ (equalish @ X0 @ (add @ a @ (subtract @ b @ c)))
% 1.58/0.84 | ~ (equalish @ (subtract @ (add @ a @ b) @ c) @ X1)
% 1.58/0.84 | ~ (equalish @ X1 @ X0))),
% 1.58/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 1.58/0.84 thf(zip_derived_cl27, plain,
% 1.58/0.84 (![X0 : $i]:
% 1.58/0.84 (~ (equalish @ (subtract @ (add @ a @ b) @ c) @ X0)
% 1.58/0.84 | ~ (equalish @ X0 @ (add @ (subtract @ b @ c) @ a)))),
% 1.58/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl19])).
% 1.58/0.84 thf(zip_derived_cl48, plain,
% 1.58/0.84 (~ (equalish @ (subtract @ (add @ a @ b) @ c) @
% 1.58/0.84 (subtract @ (add @ b @ a) @ c))),
% 1.58/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl27])).
% 1.58/0.84 thf(zip_derived_cl1, plain,
% 1.58/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.58/0.84 (~ (equalish @ X0 @ X1)
% 1.58/0.84 | ~ (equalish @ X1 @ X2)
% 1.58/0.84 | (equalish @ X0 @ X2))),
% 1.58/0.84 inference('cnf', [status(esa)], [transitivity])).
% 1.58/0.84 thf(zip_derived_cl56, plain,
% 1.58/0.84 (![X0 : $i]:
% 1.58/0.84 (~ (equalish @ (subtract @ (add @ a @ b) @ c) @ X0)
% 1.58/0.84 | ~ (equalish @ X0 @ (subtract @ (add @ b @ a) @ c)))),
% 1.58/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl1])).
% 1.58/0.84 thf(zip_derived_cl7, plain,
% 1.58/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.58/0.84 (equalish @ (subtract @ (add @ X0 @ X1) @ X2) @
% 1.58/0.84 (add @ (subtract @ X0 @ X2) @ X1))),
% 1.58/0.84 inference('cnf', [status(esa)], [commutativity2])).
% 1.58/0.84 thf(zip_derived_cl60, plain,
% 1.58/0.84 (~ (equalish @ (add @ (subtract @ a @ c) @ b) @
% 1.58/0.84 (subtract @ (add @ b @ a) @ c))),
% 1.58/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl7])).
% 1.58/0.84 thf(subtract_substitution1, axiom,
% 1.58/0.84 (( ~( equalish @ A @ B ) ) |
% 1.58/0.84 ( ~( equalish @ C @ ( subtract @ A @ D ) ) ) |
% 1.58/0.84 ( equalish @ C @ ( subtract @ B @ D ) ))).
% 1.58/0.84 thf(zip_derived_cl10, plain,
% 1.58/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.58/0.84 (~ (equalish @ X0 @ X1)
% 1.58/0.84 | ~ (equalish @ X2 @ (subtract @ X0 @ X3))
% 1.58/0.84 | (equalish @ X2 @ (subtract @ X1 @ X3)))),
% 1.58/0.84 inference('cnf', [status(esa)], [subtract_substitution1])).
% 1.58/0.84 thf(zip_derived_cl123, plain,
% 1.58/0.84 (![X0 : $i]:
% 1.58/0.84 (~ (equalish @ X0 @ (add @ b @ a))
% 1.58/0.84 | ~ (equalish @ (add @ (subtract @ a @ c) @ b) @ (subtract @ X0 @ c)))),
% 1.58/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl10])).
% 1.58/0.84 thf(zip_derived_cl132, plain,
% 1.58/0.84 (~ (equalish @ (add @ (subtract @ a @ c) @ b) @
% 1.58/0.84 (subtract @ (add @ a @ b) @ c))),
% 1.58/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl123])).
% 1.58/0.84 thf(commutativity1, axiom,
% 1.58/0.84 (equalish @
% 1.58/0.84 ( add @ ( subtract @ A @ B ) @ C ) @ ( subtract @ ( add @ A @ C ) @ B ))).
% 1.58/0.84 thf(zip_derived_cl6, plain,
% 1.58/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.58/0.84 (equalish @ (add @ (subtract @ X0 @ X1) @ X2) @
% 1.58/0.84 (subtract @ (add @ X0 @ X2) @ X1))),
% 1.58/0.84 inference('cnf', [status(esa)], [commutativity1])).
% 1.58/0.84 thf(zip_derived_cl134, plain, ($false),
% 1.58/0.84 inference('demod', [status(thm)], [zip_derived_cl132, zip_derived_cl6])).
% 1.58/0.84
% 1.58/0.84 % SZS output end Refutation
% 1.58/0.84
% 1.58/0.84
% 1.58/0.84 % Terminating...
% 2.16/0.95 % Runner terminated.
% 2.16/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------