%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO012-3 : TPTP v9.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0A8lQY7o1J true
% Computer : n029.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 57.39s 12.94s
% Output : Refutation 57.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.25 % Problem : BOO012-3 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.11/0.28 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0A8lQY7o1J true
% 0.12/0.49 % Computer : n029.cluster.edu
% 0.12/0.49 % Model : x86_64 x86_64
% 0.12/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.49 % Memory : 8042.1875MB
% 0.12/0.49 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.49 % CPULimit : 300
% 0.12/0.49 % WCLimit : 300
% 0.12/0.49 % DateTime : Wed Oct 1 13:56:08 EDT 2025
% 0.12/0.49 % CPUTime :
% 0.12/0.49 % Running portfolio for 300 s
% 0.12/0.49 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.51 % Number of cores: 8
% 0.12/0.51 % Python version: Python 3.6.8
% 0.12/0.53 % Running in FO mode
% 0.19/0.83 % Total configuration time : 435
% 0.19/0.83 % Estimated wc time : 1092
% 0.19/0.83 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.97 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/1.00 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/1.04 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/1.04 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/1.07 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.48/1.11 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.48/1.12 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 57.39/12.94 % Solved by fo/fo5.sh.
% 57.39/12.94 % done 7669 iterations in 11.674s
% 57.39/12.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 57.39/12.94 % SZS output start Refutation
% 57.39/12.94 thf(x_type, type, x: $i).
% 57.39/12.94 thf(sum_type, type, sum: $i > $i > $i > $o).
% 57.39/12.94 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 57.39/12.94 thf(inverse_type, type, inverse: $i > $i).
% 57.39/12.94 thf(multiply_type, type, multiply: $i > $i > $i).
% 57.39/12.94 thf(product_type, type, product: $i > $i > $i > $o).
% 57.39/12.94 thf(additive_identity_type, type, additive_identity: $i).
% 57.39/12.94 thf(prove_inverse_is_an_involution, conjecture,
% 57.39/12.94 (( inverse @ ( inverse @ x ) ) = ( x ))).
% 57.39/12.94 thf(zf_stmt_0, negated_conjecture, (( inverse @ ( inverse @ x ) ) != ( x )),
% 57.39/12.94 inference('cnf.neg', [status(esa)], [prove_inverse_is_an_involution])).
% 57.39/12.94 thf(zip_derived_cl34, plain, (((inverse @ (inverse @ x)) != (x))),
% 57.39/12.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 57.39/12.94 thf(multiplicative_inverse2, axiom,
% 57.39/12.94 (product @ X @ ( inverse @ X ) @ additive_identity)).
% 57.39/12.94 thf(zip_derived_cl19, plain,
% 57.39/12.94 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ additive_identity)),
% 57.39/12.94 inference('cnf', [status(esa)], [multiplicative_inverse2])).
% 57.39/12.94 thf(additive_identity1, axiom, (sum @ additive_identity @ X @ X)).
% 57.39/12.94 thf(zip_derived_cl4, plain,
% 57.39/12.94 (![X0 : $i]: (sum @ additive_identity @ X0 @ X0)),
% 57.39/12.94 inference('cnf', [status(esa)], [additive_identity1])).
% 57.39/12.94 thf(closure_of_multiplication, axiom,
% 57.39/12.94 (product @ X @ Y @ ( multiply @ X @ Y ))).
% 57.39/12.94 thf(zip_derived_cl1, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 57.39/12.94 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 57.39/12.94 thf(additive_inverse2, axiom,
% 57.39/12.94 (sum @ X @ ( inverse @ X ) @ multiplicative_identity)).
% 57.39/12.94 thf(zip_derived_cl17, plain,
% 57.39/12.94 (![X0 : $i]: (sum @ X0 @ (inverse @ X0) @ multiplicative_identity)),
% 57.39/12.94 inference('cnf', [status(esa)], [additive_inverse2])).
% 57.39/12.94 thf(distributivity2, axiom,
% 57.39/12.94 (( ~( product @ X @ Y @ V1 ) ) | ( ~( product @ X @ Z @ V2 ) ) |
% 57.39/12.94 ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( sum @ V1 @ V2 @ V4 ) ) |
% 57.39/12.94 ( product @ X @ V3 @ V4 ))).
% 57.39/12.94 thf(zip_derived_cl9, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 57.39/12.94 (~ (product @ X0 @ X1 @ X2)
% 57.39/12.94 | ~ (product @ X0 @ X3 @ X4)
% 57.39/12.94 | ~ (sum @ X1 @ X3 @ X5)
% 57.39/12.94 | ~ (sum @ X2 @ X4 @ X6)
% 57.39/12.94 | (product @ X0 @ X5 @ X6))),
% 57.39/12.94 inference('cnf', [status(esa)], [distributivity2])).
% 57.39/12.94 thf(zip_derived_cl121, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 57.39/12.94 ( (product @ X2 @ multiplicative_identity @ X1)
% 57.39/12.94 | ~ (sum @ X4 @ X3 @ X1)
% 57.39/12.94 | ~ (product @ X2 @ (inverse @ X0) @ X3)
% 57.39/12.94 | ~ (product @ X2 @ X0 @ X4))),
% 57.39/12.94 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl9])).
% 57.39/12.94 thf(zip_derived_cl1610, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 57.39/12.94 (~ (product @ X1 @ X0 @ X2)
% 57.39/12.94 | ~ (sum @ X2 @ (multiply @ X1 @ (inverse @ X0)) @ X3)
% 57.39/12.94 | (product @ X1 @ multiplicative_identity @ X3))),
% 57.39/12.94 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl121])).
% 57.39/12.94 thf(zip_derived_cl29865, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i]:
% 57.39/12.94 ( (product @ X1 @ multiplicative_identity @
% 57.39/12.94 (multiply @ X1 @ (inverse @ X0)))
% 57.39/12.94 | ~ (product @ X1 @ X0 @ additive_identity))),
% 57.39/12.94 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1610])).
% 57.39/12.94 thf(zip_derived_cl31562, plain,
% 57.39/12.94 (![X0 : $i]:
% 57.39/12.94 (product @ X0 @ multiplicative_identity @
% 57.39/12.94 (multiply @ X0 @ (inverse @ (inverse @ X0))))),
% 57.39/12.94 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl29865])).
% 57.39/12.94 thf(multiplicative_identity2, axiom,
% 57.39/12.94 (product @ X @ multiplicative_identity @ X)).
% 57.39/12.94 thf(zip_derived_cl7, plain,
% 57.39/12.94 (![X0 : $i]: (product @ X0 @ multiplicative_identity @ X0)),
% 57.39/12.94 inference('cnf', [status(esa)], [multiplicative_identity2])).
% 57.39/12.94 thf(multiplication_is_well_defined, axiom,
% 57.39/12.94 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ X @ Y @ V ) ) |
% 57.39/12.94 ( ( U ) = ( V ) ))).
% 57.39/12.94 thf(zip_derived_cl21, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 57.39/12.94 (~ (product @ X0 @ X1 @ X2)
% 57.39/12.94 | ~ (product @ X0 @ X1 @ X3)
% 57.39/12.94 | ((X2) = (X3)))),
% 57.39/12.94 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 57.39/12.94 thf(zip_derived_cl98, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i]:
% 57.39/12.94 (((X0) = (X1)) | ~ (product @ X0 @ multiplicative_identity @ X1))),
% 57.39/12.94 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl21])).
% 57.39/12.94 thf(zip_derived_cl31676, plain,
% 57.39/12.94 (![X0 : $i]: ((X0) = (multiply @ X0 @ (inverse @ (inverse @ X0))))),
% 57.39/12.94 inference('sup-', [status(thm)], [zip_derived_cl31562, zip_derived_cl98])).
% 57.39/12.94 thf(zip_derived_cl1, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 57.39/12.94 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 57.39/12.94 thf(commutativity_of_multiplication, axiom,
% 57.39/12.94 (( ~( product @ X @ Y @ Z ) ) | ( product @ Y @ X @ Z ))).
% 57.39/12.94 thf(zip_derived_cl3, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.39/12.94 (~ (product @ X0 @ X1 @ X2) | (product @ X1 @ X0 @ X2))),
% 57.39/12.94 inference('cnf', [status(esa)], [commutativity_of_multiplication])).
% 57.39/12.94 thf(zip_derived_cl65, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X1 @ X0))),
% 57.39/12.94 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 57.39/12.94 thf(zip_derived_cl31932, plain,
% 57.39/12.94 (![X0 : $i]: (product @ (inverse @ (inverse @ X0)) @ X0 @ X0)),
% 57.39/12.94 inference('sup+', [status(thm)], [zip_derived_cl31676, zip_derived_cl65])).
% 57.39/12.94 thf(zip_derived_cl7, plain,
% 57.39/12.94 (![X0 : $i]: (product @ X0 @ multiplicative_identity @ X0)),
% 57.39/12.94 inference('cnf', [status(esa)], [multiplicative_identity2])).
% 57.39/12.94 thf(multiplicative_inverse1, axiom,
% 57.39/12.94 (product @ ( inverse @ X ) @ X @ additive_identity)).
% 57.39/12.94 thf(zip_derived_cl18, plain,
% 57.39/12.94 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ additive_identity)),
% 57.39/12.94 inference('cnf', [status(esa)], [multiplicative_inverse1])).
% 57.39/12.94 thf(distributivity1, axiom,
% 57.39/12.94 (( ~( product @ X @ Y @ V1 ) ) | ( ~( product @ X @ Z @ V2 ) ) |
% 57.39/12.94 ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( product @ X @ V3 @ V4 ) ) |
% 57.39/12.94 ( sum @ V1 @ V2 @ V4 ))).
% 57.39/12.94 thf(zip_derived_cl8, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 57.39/12.94 (~ (product @ X0 @ X1 @ X2)
% 57.39/12.94 | ~ (product @ X0 @ X3 @ X4)
% 57.39/12.94 | ~ (sum @ X1 @ X3 @ X5)
% 57.39/12.94 | ~ (product @ X0 @ X5 @ X6)
% 57.39/12.94 | (sum @ X2 @ X4 @ X6))),
% 57.39/12.94 inference('cnf', [status(esa)], [distributivity1])).
% 57.39/12.94 thf(zip_derived_cl76, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 57.39/12.94 ( (sum @ additive_identity @ X2 @ X1)
% 57.39/12.94 | ~ (product @ (inverse @ X0) @ X3 @ X1)
% 57.39/12.94 | ~ (sum @ X0 @ X4 @ X3)
% 57.39/12.94 | ~ (product @ (inverse @ X0) @ X4 @ X2))),
% 57.39/12.94 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl8])).
% 57.39/12.94 thf(zip_derived_cl743, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.39/12.94 (~ (product @ (inverse @ X0) @ X2 @ X1)
% 57.39/12.94 | ~ (sum @ X0 @ X2 @ multiplicative_identity)
% 57.39/12.94 | (sum @ additive_identity @ X1 @ (inverse @ X0)))),
% 57.39/12.94 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl76])).
% 57.39/12.94 thf(zip_derived_cl32669, plain,
% 57.39/12.94 (![X0 : $i]:
% 57.39/12.94 ( (sum @ additive_identity @ X0 @ (inverse @ (inverse @ X0)))
% 57.39/12.94 | ~ (sum @ (inverse @ X0) @ X0 @ multiplicative_identity))),
% 57.39/12.94 inference('sup-', [status(thm)], [zip_derived_cl31932, zip_derived_cl743])).
% 57.39/12.94 thf(additive_inverse1, axiom,
% 57.39/12.94 (sum @ ( inverse @ X ) @ X @ multiplicative_identity)).
% 57.39/12.94 thf(zip_derived_cl16, plain,
% 57.39/12.94 (![X0 : $i]: (sum @ (inverse @ X0) @ X0 @ multiplicative_identity)),
% 57.39/12.94 inference('cnf', [status(esa)], [additive_inverse1])).
% 57.39/12.94 thf(zip_derived_cl32735, plain,
% 57.39/12.94 (![X0 : $i]: (sum @ additive_identity @ X0 @ (inverse @ (inverse @ X0)))),
% 57.39/12.94 inference('demod', [status(thm)], [zip_derived_cl32669, zip_derived_cl16])).
% 57.39/12.94 thf(zip_derived_cl4, plain,
% 57.39/12.94 (![X0 : $i]: (sum @ additive_identity @ X0 @ X0)),
% 57.39/12.94 inference('cnf', [status(esa)], [additive_identity1])).
% 57.39/12.94 thf(addition_is_well_defined, axiom,
% 57.39/12.94 (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ X @ Y @ V ) ) | ( ( U ) = ( V ) ))).
% 57.39/12.94 thf(zip_derived_cl20, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 57.39/12.94 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 57.39/12.94 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 57.39/12.94 thf(zip_derived_cl90, plain,
% 57.39/12.94 (![X0 : $i, X1 : $i]:
% 57.47/12.94 (((X0) = (X1)) | ~ (sum @ additive_identity @ X0 @ X1))),
% 57.47/12.94 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl20])).
% 57.47/12.94 thf(zip_derived_cl33423, plain,
% 57.47/12.94 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 57.47/12.94 inference('sup-', [status(thm)], [zip_derived_cl32735, zip_derived_cl90])).
% 57.47/12.94 thf(zip_derived_cl33548, plain, (((x) != (x))),
% 57.47/12.94 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl33423])).
% 57.47/12.94 thf(zip_derived_cl33549, plain, ($false),
% 57.47/12.94 inference('simplify', [status(thm)], [zip_derived_cl33548])).
% 57.47/12.94
% 57.47/12.94 % SZS output end Refutation
% 57.47/12.94
% 57.47/12.94
% 57.47/12.94 % Terminating...
% 57.80/13.14 % Runner terminated.
% 57.86/13.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------