TSTP Solution File: BOO012-4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO012-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Yd09QoMQ2z true
% Computer : n019.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 18:13:17 EDT 2023
% Result : Unsatisfiable 1.13s 0.84s
% Output : Refutation 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : BOO012-4 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Yd09QoMQ2z true
% 0.16/0.36 % Computer : n019.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun Aug 27 08:00:28 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.37 % Number of cores: 8
% 0.23/0.37 % Python version: Python 3.6.8
% 0.23/0.37 % Running in FO mode
% 0.23/0.66 % Total configuration time : 435
% 0.23/0.66 % Estimated wc time : 1092
% 0.23/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.84 % Solved by fo/fo7.sh.
% 1.13/0.84 % done 52 iterations in 0.029s
% 1.13/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.13/0.84 % SZS output start Refutation
% 1.13/0.84 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.13/0.84 thf(add_type, type, add: $i > $i > $i).
% 1.13/0.84 thf(inverse_type, type, inverse: $i > $i).
% 1.13/0.84 thf(x_type, type, x: $i).
% 1.13/0.84 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 1.13/0.84 thf(additive_identity_type, type, additive_identity: $i).
% 1.13/0.84 thf(prove_inverse_is_an_involution, conjecture,
% 1.13/0.84 (( inverse @ ( inverse @ x ) ) = ( x ))).
% 1.13/0.84 thf(zf_stmt_0, negated_conjecture, (( inverse @ ( inverse @ x ) ) != ( x )),
% 1.13/0.84 inference('cnf.neg', [status(esa)], [prove_inverse_is_an_involution])).
% 1.13/0.84 thf(zip_derived_cl8, plain, (((inverse @ (inverse @ x)) != (x))),
% 1.13/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.13/0.84 thf(multiplicative_inverse1, axiom,
% 1.13/0.84 (( multiply @ X @ ( inverse @ X ) ) = ( additive_identity ))).
% 1.13/0.84 thf(zip_derived_cl7, plain,
% 1.13/0.84 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 1.13/0.84 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 1.13/0.84 thf(commutativity_of_multiply, axiom,
% 1.13/0.84 (( multiply @ X @ Y ) = ( multiply @ Y @ X ))).
% 1.13/0.84 thf(zip_derived_cl1, plain,
% 1.13/0.84 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 1.13/0.84 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 1.13/0.84 thf(additive_inverse1, axiom,
% 1.13/0.84 (( add @ X @ ( inverse @ X ) ) = ( multiplicative_identity ))).
% 1.13/0.84 thf(zip_derived_cl6, plain,
% 1.13/0.84 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 1.13/0.84 inference('cnf', [status(esa)], [additive_inverse1])).
% 1.13/0.84 thf(distributivity2, axiom,
% 1.13/0.84 (( multiply @ X @ ( add @ Y @ Z ) ) =
% 1.13/0.84 ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 1.13/0.84 thf(zip_derived_cl3, plain,
% 1.13/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.84 ((multiply @ X0 @ (add @ X1 @ X2))
% 1.13/0.84 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 1.13/0.84 inference('cnf', [status(esa)], [distributivity2])).
% 1.13/0.84 thf(zip_derived_cl29, plain,
% 1.13/0.84 (![X0 : $i, X1 : $i]:
% 1.13/0.84 ((multiply @ X1 @ multiplicative_identity)
% 1.13/0.84 = (add @ (multiply @ X1 @ X0) @ (multiply @ X1 @ (inverse @ X0))))),
% 1.13/0.84 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 1.13/0.84 thf(multiplicative_id1, axiom,
% 1.13/0.84 (( multiply @ X @ multiplicative_identity ) = ( X ))).
% 1.13/0.84 thf(zip_derived_cl5, plain,
% 1.13/0.84 (![X0 : $i]: ((multiply @ X0 @ multiplicative_identity) = (X0))),
% 1.13/0.84 inference('cnf', [status(esa)], [multiplicative_id1])).
% 1.13/0.84 thf(zip_derived_cl32, plain,
% 1.13/0.84 (![X0 : $i, X1 : $i]:
% 1.13/0.84 ((X1)
% 1.13/0.84 = (add @ (multiply @ X1 @ X0) @ (multiply @ X1 @ (inverse @ X0))))),
% 1.13/0.84 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl5])).
% 1.13/0.84 thf(zip_derived_cl75, plain,
% 1.13/0.84 (![X0 : $i, X1 : $i]:
% 1.13/0.84 ((X0)
% 1.13/0.84 = (add @ (multiply @ X0 @ X1) @ (multiply @ (inverse @ X1) @ X0)))),
% 1.13/0.84 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl32])).
% 1.13/0.84 thf(zip_derived_cl211, plain,
% 1.13/0.84 (![X0 : $i]:
% 1.13/0.84 ((inverse @ (inverse @ X0))
% 1.13/0.84 = (add @ (multiply @ (inverse @ (inverse @ X0)) @ X0) @
% 1.13/0.84 additive_identity))),
% 1.13/0.84 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl75])).
% 1.13/0.84 thf(zip_derived_cl1, plain,
% 1.13/0.84 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 1.13/0.84 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 1.13/0.84 thf(zip_derived_cl7, plain,
% 1.13/0.84 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 1.13/0.84 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 1.13/0.84 thf(zip_derived_cl32, plain,
% 1.13/0.84 (![X0 : $i, X1 : $i]:
% 1.13/0.84 ((X1)
% 1.13/0.84 = (add @ (multiply @ X1 @ X0) @ (multiply @ X1 @ (inverse @ X0))))),
% 1.13/0.84 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl5])).
% 1.13/0.84 thf(zip_derived_cl88, plain,
% 1.13/0.84 (![X0 : $i]:
% 1.13/0.84 ((X0)
% 1.13/0.84 = (add @ additive_identity @
% 1.13/0.84 (multiply @ X0 @ (inverse @ (inverse @ X0)))))),
% 1.13/0.84 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl32])).
% 1.13/0.84 thf(additive_id1, axiom, (( add @ X @ additive_identity ) = ( X ))).
% 1.13/0.84 thf(zip_derived_cl4, plain,
% 1.13/0.84 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 1.13/0.84 inference('cnf', [status(esa)], [additive_id1])).
% 1.13/0.84 thf(commutativity_of_add, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 1.13/0.84 thf(zip_derived_cl0, plain,
% 1.13/0.84 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 1.13/0.84 inference('cnf', [status(esa)], [commutativity_of_add])).
% 1.13/0.84 thf(zip_derived_cl9, plain,
% 1.13/0.84 (![X0 : $i]: ((X0) = (add @ additive_identity @ X0))),
% 1.13/0.84 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 1.13/0.84 thf(zip_derived_cl131, plain,
% 1.13/0.84 (![X0 : $i]: ((multiply @ X0 @ (inverse @ (inverse @ X0))) = (X0))),
% 1.13/0.84 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl9])).
% 1.13/0.84 thf(zip_derived_cl4, plain,
% 1.13/0.84 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 1.13/0.84 inference('cnf', [status(esa)], [additive_id1])).
% 1.13/0.84 thf(zip_derived_cl229, plain,
% 1.13/0.84 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.13/0.84 inference('demod', [status(thm)],
% 1.13/0.84 [zip_derived_cl211, zip_derived_cl1, zip_derived_cl131,
% 1.13/0.84 zip_derived_cl4])).
% 1.13/0.84 thf(zip_derived_cl240, plain, (((x) != (x))),
% 1.13/0.84 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl229])).
% 1.13/0.84 thf(zip_derived_cl241, plain, ($false),
% 1.13/0.84 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 1.13/0.84
% 1.13/0.84 % SZS output end Refutation
% 1.13/0.84
% 1.13/0.84
% 1.13/0.84 % Terminating...
% 1.63/0.92 % Runner terminated.
% 1.69/0.94 % Zipperpin 1.5 exiting
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