%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO012-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KzVOOGGhx2 true
% Computer : n022.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 Oct 2 04:29:46 PM UTC 2025
% Result : Unsatisfiable 1.23s 0.75s
% Output : Refutation 1.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : BOO012-2 : TPTP v9.2.0. Released v1.0.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KzVOOGGhx2 true
% 0.11/0.31 % Computer : n022.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 13:53:53 EDT 2025
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.17/0.57 % Total configuration time : 435
% 0.17/0.57 % Estimated wc time : 1092
% 0.17/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.85/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.85/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.85/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.85/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.85/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.85/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.85/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.23/0.75 % Solved by fo/fo7.sh.
% 1.23/0.75 % done 57 iterations in 0.049s
% 1.23/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.23/0.75 % SZS output start Refutation
% 1.23/0.75 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.23/0.75 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 1.23/0.75 thf(x_type, type, x: $i).
% 1.23/0.75 thf(add_type, type, add: $i > $i > $i).
% 1.23/0.75 thf(inverse_type, type, inverse: $i > $i).
% 1.23/0.75 thf(additive_identity_type, type, additive_identity: $i).
% 1.23/0.75 thf(prove_inverse_is_an_involution, conjecture,
% 1.23/0.75 (( inverse @ ( inverse @ x ) ) = ( x ))).
% 1.23/0.75 thf(zf_stmt_0, negated_conjecture, (( inverse @ ( inverse @ x ) ) != ( x )),
% 1.23/0.75 inference('cnf.neg', [status(esa)], [prove_inverse_is_an_involution])).
% 1.23/0.75 thf(zip_derived_cl14, plain, (((inverse @ (inverse @ x)) != (x))),
% 1.23/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.23/0.75 thf(multiplicative_inverse2, axiom,
% 1.23/0.75 (( multiply @ ( inverse @ X ) @ X ) = ( additive_identity ))).
% 1.23/0.75 thf(zip_derived_cl9, plain,
% 1.23/0.75 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (additive_identity))),
% 1.23/0.75 inference('cnf', [status(esa)], [multiplicative_inverse2])).
% 1.23/0.75 thf(additive_inverse1, axiom,
% 1.23/0.75 (( add @ X @ ( inverse @ X ) ) = ( multiplicative_identity ))).
% 1.23/0.75 thf(zip_derived_cl6, plain,
% 1.23/0.75 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 1.23/0.75 inference('cnf', [status(esa)], [additive_inverse1])).
% 1.23/0.75 thf(distributivity3, axiom,
% 1.23/0.75 (( multiply @ ( add @ X @ Y ) @ Z ) =
% 1.23/0.75 ( add @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ))).
% 1.23/0.75 thf(zip_derived_cl4, plain,
% 1.23/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.23/0.75 ((multiply @ (add @ X0 @ X2) @ X1)
% 1.23/0.75 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 1.23/0.75 inference('cnf', [status(esa)], [distributivity3])).
% 1.23/0.75 thf(zip_derived_cl45, plain,
% 1.23/0.75 (![X0 : $i, X1 : $i]:
% 1.23/0.75 ((multiply @ multiplicative_identity @ X0)
% 1.23/0.75 = (add @ (multiply @ X1 @ X0) @ (multiply @ (inverse @ X1) @ X0)))),
% 1.23/0.75 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 1.23/0.75 thf(multiplicative_id2, axiom,
% 1.23/0.75 (( multiply @ multiplicative_identity @ X ) = ( X ))).
% 1.23/0.75 thf(zip_derived_cl11, plain,
% 1.23/0.75 (![X0 : $i]: ((multiply @ multiplicative_identity @ X0) = (X0))),
% 1.23/0.75 inference('cnf', [status(esa)], [multiplicative_id2])).
% 1.23/0.75 thf(zip_derived_cl50, plain,
% 1.23/0.75 (![X0 : $i, X1 : $i]:
% 1.23/0.75 ((X0)
% 1.23/0.75 = (add @ (multiply @ X1 @ X0) @ (multiply @ (inverse @ X1) @ X0)))),
% 1.23/0.75 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl11])).
% 1.23/0.75 thf(zip_derived_cl147, plain,
% 1.23/0.75 (![X0 : $i]:
% 1.23/0.75 ((X0)
% 1.23/0.75 = (add @ additive_identity @
% 1.23/0.75 (multiply @ (inverse @ (inverse @ X0)) @ X0)))),
% 1.23/0.75 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl50])).
% 1.23/0.75 thf(commutativity_of_multiply, axiom,
% 1.23/0.75 (( multiply @ X @ Y ) = ( multiply @ Y @ X ))).
% 1.23/0.75 thf(zip_derived_cl1, plain,
% 1.23/0.75 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 1.23/0.75 inference('cnf', [status(esa)], [commutativity_of_multiply])).
% 1.23/0.75 thf(additive_id2, axiom, (( add @ additive_identity @ X ) = ( X ))).
% 1.23/0.75 thf(zip_derived_cl13, plain,
% 1.23/0.75 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 1.23/0.75 inference('cnf', [status(esa)], [additive_id2])).
% 1.23/0.75 thf(zip_derived_cl158, plain,
% 1.23/0.75 (![X0 : $i]: ((X0) = (multiply @ X0 @ (inverse @ (inverse @ X0))))),
% 1.23/0.75 inference('demod', [status(thm)],
% 1.23/0.75 [zip_derived_cl147, zip_derived_cl1, zip_derived_cl13])).
% 1.23/0.75 thf(zip_derived_cl50, plain,
% 1.23/0.75 (![X0 : $i, X1 : $i]:
% 1.23/0.75 ((X0)
% 1.23/0.75 = (add @ (multiply @ X1 @ X0) @ (multiply @ (inverse @ X1) @ X0)))),
% 1.23/0.75 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl11])).
% 1.23/0.75 thf(zip_derived_cl195, plain,
% 1.23/0.75 (![X0 : $i]:
% 1.23/0.75 ((inverse @ (inverse @ X0))
% 1.23/0.75 = (add @ X0 @
% 1.23/0.75 (multiply @ (inverse @ X0) @ (inverse @ (inverse @ X0)))))),
% 1.23/0.75 inference('sup+', [status(thm)], [zip_derived_cl158, zip_derived_cl50])).
% 1.23/0.75 thf(multiplicative_inverse1, axiom,
% 1.23/0.75 (( multiply @ X @ ( inverse @ X ) ) = ( additive_identity ))).
% 1.23/0.75 thf(zip_derived_cl8, plain,
% 1.23/0.75 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (additive_identity))),
% 1.23/0.75 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 1.23/0.75 thf(additive_id1, axiom, (( add @ X @ additive_identity ) = ( X ))).
% 1.23/0.75 thf(zip_derived_cl12, plain,
% 1.23/0.75 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 1.23/0.75 inference('cnf', [status(esa)], [additive_id1])).
% 1.23/0.75 thf(zip_derived_cl204, plain,
% 1.23/0.75 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.23/0.75 inference('demod', [status(thm)],
% 1.23/0.75 [zip_derived_cl195, zip_derived_cl8, zip_derived_cl12])).
% 1.23/0.75 thf(zip_derived_cl206, plain, (((x) != (x))),
% 1.23/0.75 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl204])).
% 1.23/0.75 thf(zip_derived_cl207, plain, ($false),
% 1.23/0.75 inference('simplify', [status(thm)], [zip_derived_cl206])).
% 1.23/0.75
% 1.23/0.75 % SZS output end Refutation
% 1.23/0.75
% 1.23/0.75
% 1.23/0.75 % Terminating...
% 1.39/0.79 % Runner terminated.
% 1.39/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------