%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO009-1 : 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.qos3em7O56 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 04:29:45 PM UTC 2025
% Result : Unsatisfiable 1.15s 1.00s
% Output : Refutation 1.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : BOO009-1 : TPTP v9.2.0. Released v1.0.0.
% 0.00/0.08 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qos3em7O56 true
% 0.08/0.28 % Computer : n027.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Wed Oct 1 13:55:53 EDT 2025
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % Running portfolio for 300 s
% 0.08/0.28 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28 % Number of cores: 8
% 0.08/0.28 % Python version: Python 3.6.8
% 0.08/0.28 % Running in FO mode
% 0.13/0.53 % Total configuration time : 435
% 0.13/0.53 % Estimated wc time : 1092
% 0.13/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.96/0.63 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.04/0.64 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.04/0.64 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.64 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.04/0.65 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.66 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.15/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.15/1.00 % Solved by fo/fo3_bce.sh.
% 1.15/1.00 % BCE start: 23
% 1.15/1.00 % BCE eliminated: 0
% 1.15/1.00 % PE start: 23
% 1.15/1.00 logic: eq
% 1.15/1.00 % PE eliminated: 0
% 1.15/1.00 % done 451 iterations in 0.322s
% 1.15/1.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.15/1.00 % SZS output start Refutation
% 1.15/1.00 thf(sum_type, type, sum: $i > $i > $i > $o).
% 1.15/1.00 thf(y_type, type, y: $i).
% 1.15/1.00 thf(inverse_type, type, inverse: $i > $i).
% 1.15/1.00 thf(x_type, type, x: $i).
% 1.15/1.00 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.15/1.00 thf(product_type, type, product: $i > $i > $i > $o).
% 1.15/1.00 thf(add_type, type, add: $i > $i > $i).
% 1.15/1.00 thf(additive_identity_type, type, additive_identity: $i).
% 1.15/1.00 thf(prove_equations, conjecture, (product @ x @ ( add @ x @ y ) @ x)).
% 1.15/1.00 thf(zf_stmt_0, negated_conjecture, (~( product @ x @ ( add @ x @ y ) @ x )),
% 1.15/1.00 inference('cnf.neg', [status(esa)], [prove_equations])).
% 1.15/1.00 thf(zip_derived_cl22, plain, (~ (product @ x @ (add @ x @ y) @ x)),
% 1.15/1.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.15/1.00 thf(closure_of_addition, axiom, (sum @ X @ Y @ ( add @ X @ Y ))).
% 1.15/1.00 thf(zip_derived_cl0, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 1.15/1.00 inference('cnf', [status(esa)], [closure_of_addition])).
% 1.15/1.00 thf(additive_identity2, axiom, (sum @ X @ additive_identity @ X)).
% 1.15/1.00 thf(zip_derived_cl5, plain,
% 1.15/1.00 (![X0 : $i]: (sum @ X0 @ additive_identity @ X0)),
% 1.15/1.00 inference('cnf', [status(esa)], [additive_identity2])).
% 1.15/1.00 thf(zip_derived_cl5, plain,
% 1.15/1.00 (![X0 : $i]: (sum @ X0 @ additive_identity @ X0)),
% 1.15/1.00 inference('cnf', [status(esa)], [additive_identity2])).
% 1.15/1.00 thf(distributivity5, axiom,
% 1.15/1.00 (( ~( sum @ X @ Y @ V1 ) ) | ( ~( sum @ X @ Z @ V2 ) ) |
% 1.15/1.00 ( ~( product @ Y @ Z @ V3 ) ) | ( ~( sum @ X @ V3 @ V4 ) ) |
% 1.15/1.00 ( product @ V1 @ V2 @ V4 ))).
% 1.15/1.00 thf(zip_derived_cl12, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.15/1.00 (~ (sum @ X0 @ X1 @ X2)
% 1.15/1.00 | ~ (sum @ X0 @ X3 @ X4)
% 1.15/1.00 | ~ (product @ X1 @ X3 @ X5)
% 1.15/1.00 | ~ (sum @ X0 @ X5 @ X6)
% 1.15/1.00 | (product @ X2 @ X4 @ X6))),
% 1.15/1.00 inference('cnf', [status(esa)], [distributivity5])).
% 1.15/1.00 thf(zip_derived_cl214, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.15/1.00 ( (product @ X0 @ X2 @ X1)
% 1.15/1.00 | ~ (sum @ X0 @ X3 @ X1)
% 1.15/1.00 | ~ (product @ additive_identity @ X4 @ X3)
% 1.15/1.00 | ~ (sum @ X0 @ X4 @ X2))),
% 1.15/1.00 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl12])).
% 1.15/1.00 thf(zip_derived_cl1276, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.15/1.00 (~ (sum @ X0 @ X2 @ X1)
% 1.15/1.00 | ~ (product @ additive_identity @ X2 @ additive_identity)
% 1.15/1.00 | (product @ X0 @ X1 @ X0))),
% 1.15/1.00 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl214])).
% 1.15/1.00 thf(multiplicative_inverse2, axiom,
% 1.15/1.00 (product @ X @ ( inverse @ X ) @ additive_identity)).
% 1.15/1.00 thf(zip_derived_cl19, plain,
% 1.15/1.00 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ additive_identity)),
% 1.15/1.00 inference('cnf', [status(esa)], [multiplicative_inverse2])).
% 1.15/1.00 thf(additive_identity1, axiom, (sum @ additive_identity @ X @ X)).
% 1.15/1.00 thf(zip_derived_cl4, plain,
% 1.15/1.00 (![X0 : $i]: (sum @ additive_identity @ X0 @ X0)),
% 1.15/1.00 inference('cnf', [status(esa)], [additive_identity1])).
% 1.15/1.00 thf(zip_derived_cl5, plain,
% 1.15/1.00 (![X0 : $i]: (sum @ X0 @ additive_identity @ X0)),
% 1.15/1.00 inference('cnf', [status(esa)], [additive_identity2])).
% 1.15/1.00 thf(distributivity2, axiom,
% 1.15/1.00 (( ~( product @ X @ Y @ V1 ) ) | ( ~( product @ X @ Z @ V2 ) ) |
% 1.15/1.00 ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( sum @ V1 @ V2 @ V4 ) ) |
% 1.15/1.00 ( product @ X @ V3 @ V4 ))).
% 1.15/1.00 thf(zip_derived_cl9, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.15/1.00 (~ (product @ X0 @ X1 @ X2)
% 1.15/1.00 | ~ (product @ X0 @ X3 @ X4)
% 1.15/1.00 | ~ (sum @ X1 @ X3 @ X5)
% 1.15/1.00 | ~ (sum @ X2 @ X4 @ X6)
% 1.15/1.00 | (product @ X0 @ X5 @ X6))),
% 1.15/1.00 inference('cnf', [status(esa)], [distributivity2])).
% 1.15/1.00 thf(zip_derived_cl193, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.15/1.00 ( (product @ X2 @ X0 @ X1)
% 1.15/1.00 | ~ (sum @ X4 @ X3 @ X1)
% 1.15/1.00 | ~ (product @ X2 @ additive_identity @ X3)
% 1.15/1.00 | ~ (product @ X2 @ X0 @ X4))),
% 1.15/1.00 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl9])).
% 1.15/1.00 thf(zip_derived_cl603, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.15/1.00 (~ (product @ X2 @ X1 @ additive_identity)
% 1.15/1.00 | ~ (product @ X2 @ additive_identity @ X0)
% 1.15/1.00 | (product @ X2 @ X1 @ X0))),
% 1.15/1.00 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl193])).
% 1.15/1.00 thf(zip_derived_cl680, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i]:
% 1.15/1.00 ( (product @ X0 @ (inverse @ X0) @ X1)
% 1.15/1.00 | ~ (product @ X0 @ additive_identity @ X1))),
% 1.15/1.00 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl603])).
% 1.15/1.00 thf(zip_derived_cl19, plain,
% 1.15/1.00 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ additive_identity)),
% 1.15/1.00 inference('cnf', [status(esa)], [multiplicative_inverse2])).
% 1.15/1.00 thf(multiplication_is_well_defined, axiom,
% 1.15/1.00 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ X @ Y @ V ) ) |
% 1.15/1.00 ( ( U ) = ( V ) ))).
% 1.15/1.00 thf(zip_derived_cl21, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.15/1.00 (~ (product @ X0 @ X1 @ X2)
% 1.15/1.00 | ~ (product @ X0 @ X1 @ X3)
% 1.15/1.00 | ((X2) = (X3)))),
% 1.15/1.00 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 1.15/1.00 thf(zip_derived_cl158, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i]:
% 1.15/1.00 (((additive_identity) = (X1)) | ~ (product @ X0 @ (inverse @ X0) @ X1))),
% 1.15/1.00 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl21])).
% 1.15/1.00 thf(zip_derived_cl860, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i]:
% 1.15/1.00 (~ (product @ X1 @ additive_identity @ X0)
% 1.15/1.00 | ((additive_identity) = (X0)))),
% 1.15/1.00 inference('sup-', [status(thm)], [zip_derived_cl680, zip_derived_cl158])).
% 1.15/1.00 thf(closure_of_multiplication, axiom,
% 1.15/1.00 (product @ X @ Y @ ( multiply @ X @ Y ))).
% 1.15/1.00 thf(zip_derived_cl1, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.15/1.00 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.15/1.00 thf(zip_derived_cl884, plain,
% 1.15/1.00 (![X0 : $i]: ((additive_identity) = (multiply @ X0 @ additive_identity))),
% 1.15/1.00 inference('sup+', [status(thm)], [zip_derived_cl860, zip_derived_cl1])).
% 1.15/1.00 thf(zip_derived_cl1, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.15/1.00 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.15/1.00 thf(commutativity_of_multiplication, axiom,
% 1.15/1.00 (( ~( product @ X @ Y @ Z ) ) | ( product @ Y @ X @ Z ))).
% 1.15/1.00 thf(zip_derived_cl3, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.15/1.00 (~ (product @ X0 @ X1 @ X2) | (product @ X1 @ X0 @ X2))),
% 1.15/1.00 inference('cnf', [status(esa)], [commutativity_of_multiplication])).
% 1.15/1.00 thf(zip_derived_cl173, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X1 @ X0))),
% 1.15/1.00 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 1.15/1.00 thf(zip_derived_cl910, plain,
% 1.15/1.00 (![X0 : $i]: (product @ additive_identity @ X0 @ additive_identity)),
% 1.15/1.00 inference('sup+', [status(thm)], [zip_derived_cl884, zip_derived_cl173])).
% 1.15/1.00 thf(zip_derived_cl1281, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.15/1.00 (~ (sum @ X0 @ X2 @ X1) | (product @ X0 @ X1 @ X0))),
% 1.15/1.00 inference('demod', [status(thm)], [zip_derived_cl1276, zip_derived_cl910])).
% 1.15/1.00 thf(zip_derived_cl1282, plain,
% 1.15/1.00 (![X0 : $i, X1 : $i]: (product @ X1 @ (add @ X1 @ X0) @ X1)),
% 1.15/1.00 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1281])).
% 1.15/1.00 thf(zip_derived_cl1288, plain, ($false),
% 1.15/1.00 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl1282])).
% 1.15/1.00
% 1.15/1.00 % SZS output end Refutation
% 1.15/1.00
% 1.15/1.00
% 1.15/1.00 % Terminating...
% 1.56/1.19 % Runner terminated.
% 1.60/1.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------