%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO012-1 : 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.38bJO9S9Ki 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 9.36s 1.94s
% Output : Refutation 9.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : BOO012-1 : TPTP v9.2.0. Released v1.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.38bJO9S9Ki true
% 0.14/0.35 % Computer : n022.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 : Wed Oct 1 13:56:23 EDT 2025
% 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 9.36/1.94 % Solved by fo/fo5.sh.
% 9.36/1.94 % done 2809 iterations in 1.156s
% 9.36/1.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.36/1.94 % SZS output start Refutation
% 9.36/1.94 thf(sum_type, type, sum: $i > $i > $i > $o).
% 9.36/1.94 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 9.36/1.94 thf(inverse_type, type, inverse: $i > $i).
% 9.36/1.94 thf(x_type, type, x: $i).
% 9.36/1.94 thf(multiply_type, type, multiply: $i > $i > $i).
% 9.36/1.94 thf(product_type, type, product: $i > $i > $i > $o).
% 9.36/1.94 thf(additive_identity_type, type, additive_identity: $i).
% 9.36/1.94 thf(prove_inverse_is_an_involution, conjecture,
% 9.36/1.94 (( inverse @ ( inverse @ x ) ) = ( x ))).
% 9.36/1.94 thf(zf_stmt_0, negated_conjecture, (( inverse @ ( inverse @ x ) ) != ( x )),
% 9.36/1.94 inference('cnf.neg', [status(esa)], [prove_inverse_is_an_involution])).
% 9.36/1.94 thf(zip_derived_cl22, plain, (((inverse @ (inverse @ x)) != (x))),
% 9.36/1.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.36/1.94 thf(multiplicative_inverse2, axiom,
% 9.36/1.94 (product @ X @ ( inverse @ X ) @ additive_identity)).
% 9.36/1.94 thf(zip_derived_cl19, plain,
% 9.36/1.94 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ additive_identity)),
% 9.36/1.94 inference('cnf', [status(esa)], [multiplicative_inverse2])).
% 9.36/1.94 thf(additive_inverse1, axiom,
% 9.36/1.94 (sum @ ( inverse @ X ) @ X @ multiplicative_identity)).
% 9.36/1.94 thf(zip_derived_cl16, plain,
% 9.36/1.94 (![X0 : $i]: (sum @ (inverse @ X0) @ X0 @ multiplicative_identity)),
% 9.36/1.94 inference('cnf', [status(esa)], [additive_inverse1])).
% 9.36/1.94 thf(multiplicative_identity2, axiom,
% 9.36/1.94 (product @ X @ multiplicative_identity @ X)).
% 9.36/1.94 thf(zip_derived_cl7, plain,
% 9.36/1.94 (![X0 : $i]: (product @ X0 @ multiplicative_identity @ X0)),
% 9.36/1.94 inference('cnf', [status(esa)], [multiplicative_identity2])).
% 9.36/1.94 thf(closure_of_multiplication, axiom,
% 9.36/1.94 (product @ X @ Y @ ( multiply @ X @ Y ))).
% 9.36/1.94 thf(zip_derived_cl1, plain,
% 9.36/1.94 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 9.36/1.94 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 9.36/1.94 thf(distributivity1, axiom,
% 9.36/1.94 (( ~( product @ X @ Y @ V1 ) ) | ( ~( product @ X @ Z @ V2 ) ) |
% 9.36/1.94 ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( product @ X @ V3 @ V4 ) ) |
% 9.36/1.94 ( sum @ V1 @ V2 @ V4 ))).
% 9.36/1.94 thf(zip_derived_cl8, plain,
% 9.36/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.36/1.94 (~ (product @ X0 @ X1 @ X2)
% 9.36/1.94 | ~ (product @ X0 @ X3 @ X4)
% 9.36/1.94 | ~ (sum @ X1 @ X3 @ X5)
% 9.36/1.94 | ~ (product @ X0 @ X5 @ X6)
% 9.36/1.94 | (sum @ X2 @ X4 @ X6))),
% 9.36/1.94 inference('cnf', [status(esa)], [distributivity1])).
% 9.36/1.94 thf(zip_derived_cl49, plain,
% 9.36/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.36/1.94 ( (sum @ (multiply @ X1 @ X0) @ X3 @ X2)
% 9.36/1.94 | ~ (product @ X1 @ X4 @ X2)
% 9.36/1.94 | ~ (sum @ X0 @ X5 @ X4)
% 9.36/1.94 | ~ (product @ X1 @ X5 @ X3))),
% 9.36/1.94 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl8])).
% 9.36/1.94 thf(zip_derived_cl201, plain,
% 9.36/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.36/1.94 (~ (product @ X0 @ X2 @ X1)
% 9.36/1.94 | ~ (sum @ X3 @ X2 @ multiplicative_identity)
% 9.36/1.94 | (sum @ (multiply @ X0 @ X3) @ X1 @ X0))),
% 9.36/1.94 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl49])).
% 9.36/1.94 thf(zip_derived_cl4302, plain,
% 9.36/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.36/1.94 ( (sum @ (multiply @ X1 @ (inverse @ X0)) @ X2 @ X1)
% 9.36/1.94 | ~ (product @ X1 @ X0 @ X2))),
% 9.36/1.94 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl201])).
% 9.36/1.94 thf(zip_derived_cl9384, plain,
% 9.36/1.94 (![X0 : $i]:
% 9.36/1.94 (sum @ (multiply @ X0 @ (inverse @ (inverse @ X0))) @
% 9.36/1.94 additive_identity @ X0)),
% 9.36/1.94 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl4302])).
% 9.36/1.94 thf(additive_identity2, axiom, (sum @ X @ additive_identity @ X)).
% 9.36/1.94 thf(zip_derived_cl5, plain,
% 9.36/1.94 (![X0 : $i]: (sum @ X0 @ additive_identity @ X0)),
% 9.36/1.94 inference('cnf', [status(esa)], [additive_identity2])).
% 9.36/1.94 thf(addition_is_well_defined, axiom,
% 9.36/1.94 (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ X @ Y @ V ) ) | ( ( U ) = ( V ) ))).
% 9.36/1.94 thf(zip_derived_cl20, plain,
% 9.36/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.36/1.94 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 9.36/1.94 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 9.36/1.94 thf(zip_derived_cl38, plain,
% 9.36/1.94 (![X0 : $i, X1 : $i]:
% 9.36/1.94 (((X0) = (X1)) | ~ (sum @ X0 @ additive_identity @ X1))),
% 9.36/1.94 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl20])).
% 9.36/1.94 thf(zip_derived_cl9429, plain,
% 9.36/1.94 (![X0 : $i]: ((multiply @ X0 @ (inverse @ (inverse @ X0))) = (X0))),
% 9.36/1.94 inference('sup-', [status(thm)], [zip_derived_cl9384, zip_derived_cl38])).
% 9.36/1.94 thf(zip_derived_cl1, plain,
% 9.36/1.94 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 9.36/1.94 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 9.36/1.94 thf(zip_derived_cl9475, plain,
% 9.36/1.94 (![X0 : $i]: (product @ X0 @ (inverse @ (inverse @ X0)) @ X0)),
% 9.36/1.94 inference('sup+', [status(thm)], [zip_derived_cl9429, zip_derived_cl1])).
% 9.36/1.94 thf(multiplicative_identity1, axiom,
% 9.36/1.94 (product @ multiplicative_identity @ X @ X)).
% 9.36/1.94 thf(zip_derived_cl6, plain,
% 9.36/1.94 (![X0 : $i]: (product @ multiplicative_identity @ X0 @ X0)),
% 9.36/1.94 inference('cnf', [status(esa)], [multiplicative_identity1])).
% 9.36/1.94 thf(zip_derived_cl19, plain,
% 9.36/1.94 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ additive_identity)),
% 9.36/1.94 inference('cnf', [status(esa)], [multiplicative_inverse2])).
% 9.36/1.94 thf(distributivity3, axiom,
% 9.36/1.94 (( ~( product @ Y @ X @ V1 ) ) | ( ~( product @ Z @ X @ V2 ) ) |
% 9.36/1.94 ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( product @ V3 @ X @ V4 ) ) |
% 9.36/1.94 ( sum @ V1 @ V2 @ V4 ))).
% 9.36/1.94 thf(zip_derived_cl10, plain,
% 9.36/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.36/1.94 (~ (product @ X0 @ X1 @ X2)
% 9.36/1.94 | ~ (product @ X3 @ X1 @ X4)
% 9.36/1.94 | ~ (sum @ X0 @ X3 @ X5)
% 9.36/1.94 | ~ (product @ X5 @ X1 @ X6)
% 9.36/1.94 | (sum @ X2 @ X4 @ X6))),
% 9.36/1.94 inference('cnf', [status(esa)], [distributivity3])).
% 9.36/1.94 thf(zip_derived_cl65, plain,
% 9.36/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.36/1.94 ( (sum @ additive_identity @ X2 @ X1)
% 9.36/1.94 | ~ (product @ X3 @ (inverse @ X0) @ X1)
% 9.36/1.94 | ~ (sum @ X0 @ X4 @ X3)
% 9.36/1.94 | ~ (product @ X4 @ (inverse @ X0) @ X2))),
% 9.36/1.94 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl10])).
% 9.36/1.94 thf(zip_derived_cl851, plain,
% 9.36/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.36/1.94 (~ (product @ X2 @ (inverse @ X0) @ X1)
% 9.36/1.94 | ~ (sum @ X0 @ X2 @ multiplicative_identity)
% 9.36/1.94 | (sum @ additive_identity @ X1 @ (inverse @ X0)))),
% 9.36/1.94 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl65])).
% 9.36/1.94 thf(zip_derived_cl9656, plain,
% 9.36/1.94 (![X0 : $i]:
% 9.36/1.94 ( (sum @ additive_identity @ X0 @ (inverse @ (inverse @ X0)))
% 9.36/1.94 | ~ (sum @ (inverse @ X0) @ X0 @ multiplicative_identity))),
% 9.36/1.94 inference('sup-', [status(thm)], [zip_derived_cl9475, zip_derived_cl851])).
% 9.36/1.94 thf(zip_derived_cl16, plain,
% 9.36/1.94 (![X0 : $i]: (sum @ (inverse @ X0) @ X0 @ multiplicative_identity)),
% 9.36/1.94 inference('cnf', [status(esa)], [additive_inverse1])).
% 9.36/1.94 thf(zip_derived_cl9709, plain,
% 9.36/1.94 (![X0 : $i]: (sum @ additive_identity @ X0 @ (inverse @ (inverse @ X0)))),
% 9.36/1.94 inference('demod', [status(thm)], [zip_derived_cl9656, zip_derived_cl16])).
% 9.36/1.94 thf(additive_identity1, axiom, (sum @ additive_identity @ X @ X)).
% 9.36/1.94 thf(zip_derived_cl4, plain,
% 9.36/1.94 (![X0 : $i]: (sum @ additive_identity @ X0 @ X0)),
% 9.36/1.94 inference('cnf', [status(esa)], [additive_identity1])).
% 9.36/1.94 thf(zip_derived_cl20, plain,
% 9.36/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.36/1.94 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 9.36/1.94 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 9.36/1.94 thf(zip_derived_cl40, plain,
% 9.36/1.94 (![X0 : $i, X1 : $i]:
% 9.36/1.94 (((X0) = (X1)) | ~ (sum @ additive_identity @ X0 @ X1))),
% 9.36/1.94 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl20])).
% 9.36/1.94 thf(zip_derived_cl10043, plain,
% 9.36/1.94 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 9.36/1.94 inference('sup-', [status(thm)], [zip_derived_cl9709, zip_derived_cl40])).
% 9.36/1.94 thf(zip_derived_cl10126, plain, (((x) != (x))),
% 9.36/1.94 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl10043])).
% 9.36/1.94 thf(zip_derived_cl10127, plain, ($false),
% 9.36/1.94 inference('simplify', [status(thm)], [zip_derived_cl10126])).
% 9.36/1.94
% 9.36/1.94 % SZS output end Refutation
% 9.36/1.94
% 9.36/1.94
% 9.36/1.94 % Terminating...
% 9.92/2.05 % Runner terminated.
% 9.92/2.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------