%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO016-1 : 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.tsELrDbjoF true
% Computer : n017.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 04:29:48 PM UTC 2025
% Result : Unsatisfiable 5.85s 1.44s
% Output : Refutation 5.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : BOO016-1 : TPTP v9.2.0. Released v1.0.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tsELrDbjoF true
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 13:57:08 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.55/0.67 % Total configuration time : 435
% 0.55/0.67 % Estimated wc time : 1092
% 0.55/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.85/1.44 % Solved by fo/fo5.sh.
% 5.85/1.44 % done 1408 iterations in 0.632s
% 5.85/1.44 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.85/1.44 % SZS output start Refutation
% 5.85/1.44 thf(sum_type, type, sum: $i > $i > $i > $o).
% 5.85/1.44 thf(y_type, type, y: $i).
% 5.85/1.44 thf(z_type, type, z: $i).
% 5.85/1.44 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 5.85/1.44 thf(inverse_type, type, inverse: $i > $i).
% 5.85/1.44 thf(x_type, type, x: $i).
% 5.85/1.44 thf(product_type, type, product: $i > $i > $i > $o).
% 5.85/1.44 thf(add_type, type, add: $i > $i > $i).
% 5.85/1.44 thf(prove_sum, conjecture, (sum @ x @ z @ x)).
% 5.85/1.44 thf(zf_stmt_0, negated_conjecture, (~( sum @ x @ z @ x )),
% 5.85/1.44 inference('cnf.neg', [status(esa)], [prove_sum])).
% 5.85/1.44 thf(zip_derived_cl23, plain, (~ (sum @ x @ z @ x)),
% 5.85/1.44 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.85/1.44 thf(multiplicative_identity2, axiom,
% 5.85/1.44 (product @ X @ multiplicative_identity @ X)).
% 5.85/1.44 thf(zip_derived_cl7, plain,
% 5.85/1.44 (![X0 : $i]: (product @ X0 @ multiplicative_identity @ X0)),
% 5.85/1.44 inference('cnf', [status(esa)], [multiplicative_identity2])).
% 5.85/1.44 thf(x_times_y, axiom, (product @ x @ y @ z)).
% 5.85/1.44 thf(zip_derived_cl22, plain, ( (product @ x @ y @ z)),
% 5.85/1.44 inference('cnf', [status(esa)], [x_times_y])).
% 5.85/1.44 thf(distributivity1, axiom,
% 5.85/1.44 (( ~( product @ X @ Y @ V1 ) ) | ( ~( product @ X @ Z @ V2 ) ) |
% 5.85/1.44 ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( product @ X @ V3 @ V4 ) ) |
% 5.85/1.44 ( sum @ V1 @ V2 @ V4 ))).
% 5.85/1.44 thf(zip_derived_cl8, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.85/1.44 (~ (product @ X0 @ X1 @ X2)
% 5.85/1.44 | ~ (product @ X0 @ X3 @ X4)
% 5.85/1.44 | ~ (sum @ X1 @ X3 @ X5)
% 5.85/1.44 | ~ (product @ X0 @ X5 @ X6)
% 5.85/1.44 | (sum @ X2 @ X4 @ X6))),
% 5.85/1.44 inference('cnf', [status(esa)], [distributivity1])).
% 5.85/1.44 thf(zip_derived_cl75, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.85/1.44 ( (sum @ z @ X1 @ X0)
% 5.85/1.44 | ~ (product @ x @ X2 @ X0)
% 5.85/1.44 | ~ (sum @ y @ X3 @ X2)
% 5.85/1.44 | ~ (product @ x @ X3 @ X1))),
% 5.85/1.44 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl8])).
% 5.85/1.44 thf(zip_derived_cl1105, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i]:
% 5.85/1.44 (~ (product @ x @ X1 @ X0)
% 5.85/1.44 | ~ (sum @ y @ X1 @ X1)
% 5.85/1.44 | (sum @ z @ X0 @ X0))),
% 5.85/1.44 inference('eq_fact', [status(thm)], [zip_derived_cl75])).
% 5.85/1.44 thf(zip_derived_cl1227, plain,
% 5.85/1.44 (( (sum @ z @ x @ x)
% 5.85/1.44 | ~ (sum @ y @ multiplicative_identity @ multiplicative_identity))),
% 5.85/1.44 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1105])).
% 5.85/1.44 thf(closure_of_addition, axiom, (sum @ X @ Y @ ( add @ X @ Y ))).
% 5.85/1.44 thf(zip_derived_cl0, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 5.85/1.44 inference('cnf', [status(esa)], [closure_of_addition])).
% 5.85/1.44 thf(zip_derived_cl7, plain,
% 5.85/1.44 (![X0 : $i]: (product @ X0 @ multiplicative_identity @ X0)),
% 5.85/1.44 inference('cnf', [status(esa)], [multiplicative_identity2])).
% 5.85/1.44 thf(additive_inverse2, axiom,
% 5.85/1.44 (sum @ X @ ( inverse @ X ) @ multiplicative_identity)).
% 5.85/1.44 thf(zip_derived_cl17, plain,
% 5.85/1.44 (![X0 : $i]: (sum @ X0 @ (inverse @ X0) @ multiplicative_identity)),
% 5.85/1.44 inference('cnf', [status(esa)], [additive_inverse2])).
% 5.85/1.44 thf(zip_derived_cl0, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 5.85/1.44 inference('cnf', [status(esa)], [closure_of_addition])).
% 5.85/1.44 thf(distributivity5, axiom,
% 5.85/1.44 (( ~( sum @ X @ Y @ V1 ) ) | ( ~( sum @ X @ Z @ V2 ) ) |
% 5.85/1.44 ( ~( product @ Y @ Z @ V3 ) ) | ( ~( sum @ X @ V3 @ V4 ) ) |
% 5.85/1.44 ( product @ V1 @ V2 @ V4 ))).
% 5.85/1.44 thf(zip_derived_cl12, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.85/1.44 (~ (sum @ X0 @ X1 @ X2)
% 5.85/1.44 | ~ (sum @ X0 @ X3 @ X4)
% 5.85/1.44 | ~ (product @ X1 @ X3 @ X5)
% 5.85/1.44 | ~ (sum @ X0 @ X5 @ X6)
% 5.85/1.44 | (product @ X2 @ X4 @ X6))),
% 5.85/1.44 inference('cnf', [status(esa)], [distributivity5])).
% 5.85/1.44 thf(zip_derived_cl52, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.85/1.44 ( (product @ (add @ X1 @ X0) @ X3 @ X2)
% 5.85/1.44 | ~ (sum @ X1 @ X4 @ X2)
% 5.85/1.44 | ~ (product @ X0 @ X5 @ X4)
% 5.85/1.44 | ~ (sum @ X1 @ X5 @ X3))),
% 5.85/1.44 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl12])).
% 5.85/1.44 thf(zip_derived_cl245, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.85/1.44 (~ (sum @ X0 @ X2 @ X1)
% 5.85/1.44 | ~ (product @ X3 @ X2 @ (inverse @ X0))
% 5.85/1.44 | (product @ (add @ X0 @ X3) @ X1 @ multiplicative_identity))),
% 5.85/1.44 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl52])).
% 5.85/1.44 thf(zip_derived_cl4411, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i]:
% 5.85/1.44 ( (product @ (add @ X0 @ (inverse @ X0)) @ X1 @
% 5.85/1.44 multiplicative_identity)
% 5.85/1.44 | ~ (sum @ X0 @ multiplicative_identity @ X1))),
% 5.85/1.44 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl245])).
% 5.85/1.44 thf(zip_derived_cl17, plain,
% 5.85/1.44 (![X0 : $i]: (sum @ X0 @ (inverse @ X0) @ multiplicative_identity)),
% 5.85/1.44 inference('cnf', [status(esa)], [additive_inverse2])).
% 5.85/1.44 thf(zip_derived_cl0, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 5.85/1.44 inference('cnf', [status(esa)], [closure_of_addition])).
% 5.85/1.44 thf(addition_is_well_defined, axiom,
% 5.85/1.44 (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ X @ Y @ V ) ) | ( ( U ) = ( V ) ))).
% 5.85/1.44 thf(zip_derived_cl20, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.85/1.44 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 5.85/1.44 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 5.85/1.44 thf(zip_derived_cl31, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.85/1.44 (((add @ X1 @ X0) = (X2)) | ~ (sum @ X1 @ X0 @ X2))),
% 5.85/1.44 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl20])).
% 5.85/1.44 thf(zip_derived_cl145, plain,
% 5.85/1.44 (![X0 : $i]: ((add @ X0 @ (inverse @ X0)) = (multiplicative_identity))),
% 5.85/1.44 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl31])).
% 5.85/1.44 thf(zip_derived_cl4420, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i]:
% 5.85/1.44 ( (product @ multiplicative_identity @ X1 @ multiplicative_identity)
% 5.85/1.44 | ~ (sum @ X0 @ multiplicative_identity @ X1))),
% 5.85/1.44 inference('demod', [status(thm)], [zip_derived_cl4411, zip_derived_cl145])).
% 5.85/1.44 thf(zip_derived_cl4424, plain,
% 5.85/1.44 (![X0 : $i]:
% 5.85/1.44 (product @ multiplicative_identity @
% 5.85/1.44 (add @ X0 @ multiplicative_identity) @ multiplicative_identity)),
% 5.85/1.44 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4420])).
% 5.85/1.44 thf(multiplicative_identity1, axiom,
% 5.85/1.44 (product @ multiplicative_identity @ X @ X)).
% 5.85/1.44 thf(zip_derived_cl6, plain,
% 5.85/1.44 (![X0 : $i]: (product @ multiplicative_identity @ X0 @ X0)),
% 5.85/1.44 inference('cnf', [status(esa)], [multiplicative_identity1])).
% 5.85/1.44 thf(multiplication_is_well_defined, axiom,
% 5.85/1.44 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ X @ Y @ V ) ) |
% 5.85/1.44 ( ( U ) = ( V ) ))).
% 5.85/1.44 thf(zip_derived_cl21, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.85/1.44 (~ (product @ X0 @ X1 @ X2)
% 5.85/1.44 | ~ (product @ X0 @ X1 @ X3)
% 5.85/1.44 | ((X2) = (X3)))),
% 5.85/1.44 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 5.85/1.44 thf(zip_derived_cl48, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i]:
% 5.85/1.44 (((X0) = (X1)) | ~ (product @ multiplicative_identity @ X0 @ X1))),
% 5.85/1.44 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl21])).
% 5.85/1.44 thf(zip_derived_cl4469, plain,
% 5.85/1.44 (![X0 : $i]:
% 5.85/1.44 ((add @ X0 @ multiplicative_identity) = (multiplicative_identity))),
% 5.85/1.44 inference('sup-', [status(thm)], [zip_derived_cl4424, zip_derived_cl48])).
% 5.85/1.44 thf(zip_derived_cl0, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 5.85/1.44 inference('cnf', [status(esa)], [closure_of_addition])).
% 5.85/1.44 thf(zip_derived_cl4510, plain,
% 5.85/1.44 (![X0 : $i]:
% 5.85/1.44 (sum @ X0 @ multiplicative_identity @ multiplicative_identity)),
% 5.85/1.44 inference('sup+', [status(thm)], [zip_derived_cl4469, zip_derived_cl0])).
% 5.85/1.44 thf(zip_derived_cl4536, plain, ( (sum @ z @ x @ x)),
% 5.85/1.44 inference('demod', [status(thm)],
% 5.85/1.44 [zip_derived_cl1227, zip_derived_cl4510])).
% 5.85/1.44 thf(commutativity_of_addition, axiom,
% 5.85/1.44 (( ~( sum @ X @ Y @ Z ) ) | ( sum @ Y @ X @ Z ))).
% 5.85/1.44 thf(zip_derived_cl2, plain,
% 5.85/1.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.85/1.44 (~ (sum @ X0 @ X1 @ X2) | (sum @ X1 @ X0 @ X2))),
% 5.85/1.44 inference('cnf', [status(esa)], [commutativity_of_addition])).
% 5.85/1.44 thf(zip_derived_cl4631, plain, ( (sum @ x @ z @ x)),
% 5.85/1.44 inference('sup-', [status(thm)], [zip_derived_cl4536, zip_derived_cl2])).
% 5.85/1.44 thf(zip_derived_cl4664, plain, ($false),
% 5.85/1.44 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl4631])).
% 5.85/1.44
% 5.85/1.44 % SZS output end Refutation
% 5.85/1.44
% 5.85/1.44
% 5.85/1.44 % Terminating...
% 5.85/1.48 % Runner terminated.
% 5.85/1.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------