%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO001-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JK98FMo8IV true
% Computer : n027.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 04:29:42 PM UTC 2025
% Result : Unsatisfiable 0.46s 0.78s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : BOO001-1 : TPTP v9.2.0. Released v1.0.0.
% 0.04/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JK98FMo8IV true
% 0.09/0.30 % Computer : n027.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 13:55:38 EDT 2025
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Running portfolio for 300 s
% 0.09/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.31 % Number of cores: 8
% 0.15/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in FO mode
% 0.43/0.62 % Total configuration time : 435
% 0.43/0.62 % Estimated wc time : 1092
% 0.43/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.44/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.44/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.44/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.44/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.78 % Solved by fo/fo3_bce.sh.
% 0.46/0.78 % BCE start: 6
% 0.46/0.78 % BCE eliminated: 0
% 0.46/0.78 % PE start: 6
% 0.46/0.78 logic: eq
% 0.46/0.78 % PE eliminated: 0
% 0.46/0.78 % done 14 iterations in 0.035s
% 0.46/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.46/0.78 % SZS output start Refutation
% 0.46/0.78 thf(multiply_type, type, multiply: $i > $i > $i > $i).
% 0.46/0.78 thf(inverse_type, type, inverse: $i > $i).
% 0.46/0.78 thf(a_type, type, a: $i).
% 0.46/0.78 thf(prove_inverse_is_self_cancelling, conjecture,
% 0.46/0.78 (( inverse @ ( inverse @ a ) ) = ( a ))).
% 0.46/0.78 thf(zf_stmt_0, negated_conjecture, (( inverse @ ( inverse @ a ) ) != ( a )),
% 0.46/0.78 inference('cnf.neg', [status(esa)], [prove_inverse_is_self_cancelling])).
% 0.46/0.78 thf(zip_derived_cl5, plain, (((inverse @ (inverse @ a)) != (a))),
% 0.46/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.46/0.78 thf(ternary_multiply_2, axiom, (( multiply @ X @ X @ Y ) = ( X ))).
% 0.46/0.78 thf(zip_derived_cl2, plain,
% 0.46/0.78 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 0.46/0.78 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 0.46/0.78 thf(right_inverse, axiom, (( multiply @ X @ Y @ ( inverse @ Y ) ) = ( X ))).
% 0.46/0.78 thf(zip_derived_cl4, plain,
% 0.46/0.78 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1 @ (inverse @ X1)) = (X0))),
% 0.46/0.78 inference('cnf', [status(esa)], [right_inverse])).
% 0.46/0.78 thf(ternary_multiply_1, axiom, (( multiply @ Y @ X @ X ) = ( X ))).
% 0.46/0.78 thf(zip_derived_cl1, plain,
% 0.46/0.78 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0 @ X0) = (X0))),
% 0.46/0.78 inference('cnf', [status(esa)], [ternary_multiply_1])).
% 0.46/0.78 thf(associativity, axiom,
% 0.46/0.78 (( multiply @ ( multiply @ V @ W @ X ) @ Y @ ( multiply @ V @ W @ Z ) ) =
% 0.46/0.78 ( multiply @ V @ W @ ( multiply @ X @ Y @ Z ) ))).
% 0.46/0.78 thf(zip_derived_cl0, plain,
% 0.46/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.46/0.78 ((multiply @ (multiply @ X0 @ X1 @ X2) @ X3 @
% 0.46/0.78 (multiply @ X0 @ X1 @ X4))
% 0.46/0.78 = (multiply @ X0 @ X1 @ (multiply @ X2 @ X3 @ X4)))),
% 0.46/0.78 inference('cnf', [status(esa)], [associativity])).
% 0.46/0.78 thf(zip_derived_cl10, plain,
% 0.46/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.46/0.78 ((multiply @ (multiply @ X3 @ X0 @ X2) @ X1 @ X0)
% 0.46/0.78 = (multiply @ X3 @ X0 @ (multiply @ X2 @ X1 @ X0)))),
% 0.46/0.78 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.46/0.78 thf(zip_derived_cl37, plain,
% 0.46/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.78 ((multiply @ X0 @ X2 @ X1)
% 0.46/0.78 = (multiply @ X0 @ X1 @ (multiply @ (inverse @ X1) @ X2 @ X1)))),
% 0.46/0.78 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 0.46/0.78 thf(zip_derived_cl85, plain,
% 0.46/0.78 (![X0 : $i, X1 : $i]:
% 0.46/0.78 ((multiply @ X1 @ (inverse @ X0) @ X0)
% 0.46/0.78 = (multiply @ X1 @ X0 @ (inverse @ X0)))),
% 0.46/0.78 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl37])).
% 0.46/0.78 thf(zip_derived_cl4, plain,
% 0.46/0.78 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1 @ (inverse @ X1)) = (X0))),
% 0.46/0.78 inference('cnf', [status(esa)], [right_inverse])).
% 0.46/0.78 thf(zip_derived_cl90, plain,
% 0.46/0.78 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ (inverse @ X0) @ X0) = (X1))),
% 0.46/0.78 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4])).
% 0.46/0.78 thf(left_inverse, axiom, (( multiply @ ( inverse @ Y ) @ Y @ X ) = ( X ))).
% 0.46/0.78 thf(zip_derived_cl3, plain,
% 0.46/0.78 (![X0 : $i, X1 : $i]: ((multiply @ (inverse @ X1) @ X1 @ X0) = (X0))),
% 0.46/0.78 inference('cnf', [status(esa)], [left_inverse])).
% 0.46/0.78 thf(zip_derived_cl101, plain,
% 0.46/0.78 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.46/0.78 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl3])).
% 0.46/0.78 thf(zip_derived_cl107, plain, (((a) != (a))),
% 0.46/0.78 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl101])).
% 0.46/0.78 thf(zip_derived_cl108, plain, ($false),
% 0.46/0.78 inference('simplify', [status(thm)], [zip_derived_cl107])).
% 0.46/0.78
% 0.46/0.78 % SZS output end Refutation
% 0.46/0.78
% 0.46/0.78
% 0.46/0.78 % Terminating...
% 1.43/0.85 % Runner terminated.
% 1.47/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------