%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG038-1 : 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.8VJIVeHXts true
% Computer : n003.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 04:50:18 PM UTC 2025
% Result : Unsatisfiable 2.46s 1.34s
% Output : Refutation 2.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.24 % Problem : RNG038-1 : TPTP v9.2.0. Released v1.0.0.
% 0.08/0.26 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8VJIVeHXts true
% 0.10/0.48 % Computer : n003.cluster.edu
% 0.10/0.48 % Model : x86_64 x86_64
% 0.10/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.48 % Memory : 8042.1875MB
% 0.10/0.48 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.48 % CPULimit : 300
% 0.10/0.48 % WCLimit : 300
% 0.10/0.48 % DateTime : Wed Oct 1 17:23:53 EDT 2025
% 0.10/0.50 % CPUTime :
% 0.10/0.50 % Running portfolio for 300 s
% 0.10/0.50 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.50 % Number of cores: 8
% 0.10/0.50 % Python version: Python 3.6.8
% 0.10/0.51 % Running in FO mode
% 0.22/0.72 % Total configuration time : 435
% 0.22/0.72 % Estimated wc time : 1092
% 0.22/0.72 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.89 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 2.46/1.34 % Solved by fo/fo5.sh.
% 2.46/1.34 % done 485 iterations in 0.337s
% 2.46/1.34 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.46/1.34 % SZS output start Refutation
% 2.46/1.34 thf(multiply_type, type, multiply: $i > $i > $i).
% 2.46/1.34 thf(sum_type, type, sum: $i > $i > $i > $o).
% 2.46/1.34 thf(product_type, type, product: $i > $i > $i > $o).
% 2.46/1.34 thf(h_type, type, h: $i > $i > $i).
% 2.46/1.34 thf(additive_identity_type, type, additive_identity: $i).
% 2.46/1.34 thf(a_type, type, a: $i).
% 2.46/1.34 thf(b_type, type, b: $i).
% 2.46/1.34 thf(some_property, axiom,
% 2.46/1.34 (( ( X ) != ( additive_identity ) ) | ( product @ X @ ( h @ X @ Y ) @ Y ))).
% 2.46/1.34 thf(zip_derived_cl17, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i]:
% 2.46/1.34 (((X0) != (additive_identity)) | (product @ X0 @ (h @ X0 @ X1) @ X1))),
% 2.46/1.34 inference('cnf', [status(esa)], [some_property])).
% 2.46/1.34 thf(zip_derived_cl21, plain,
% 2.46/1.34 (![X0 : $i]:
% 2.46/1.34 (product @ additive_identity @ (h @ additive_identity @ X0) @ X0)),
% 2.46/1.34 inference('eq_res', [status(thm)], [zip_derived_cl17])).
% 2.46/1.34 thf(a_times_b, axiom, (product @ a @ b @ additive_identity)).
% 2.46/1.34 thf(zip_derived_cl18, plain, ( (product @ a @ b @ additive_identity)),
% 2.46/1.34 inference('cnf', [status(esa)], [a_times_b])).
% 2.46/1.34 thf(closure_of_multiplication, axiom,
% 2.46/1.34 (product @ X @ Y @ ( multiply @ X @ Y ))).
% 2.46/1.34 thf(zip_derived_cl2, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 2.46/1.34 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 2.46/1.34 thf(associativity_of_multiplication2, axiom,
% 2.46/1.34 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 2.46/1.34 ( ~( product @ X @ V @ W ) ) | ( product @ U @ Z @ W ))).
% 2.46/1.34 thf(zip_derived_cl10, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.46/1.34 (~ (product @ X0 @ X1 @ X2)
% 2.46/1.34 | ~ (product @ X1 @ X3 @ X4)
% 2.46/1.34 | ~ (product @ X0 @ X4 @ X5)
% 2.46/1.34 | (product @ X2 @ X3 @ X5))),
% 2.46/1.34 inference('cnf', [status(esa)], [associativity_of_multiplication2])).
% 2.46/1.34 thf(zip_derived_cl78, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.46/1.34 ( (product @ (multiply @ X1 @ X0) @ X3 @ X2)
% 2.46/1.34 | ~ (product @ X1 @ X4 @ X2)
% 2.46/1.34 | ~ (product @ X0 @ X3 @ X4))),
% 2.46/1.34 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl10])).
% 2.46/1.34 thf(zip_derived_cl964, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i]:
% 2.46/1.34 (~ (product @ X1 @ X0 @ b)
% 2.46/1.34 | (product @ (multiply @ a @ X1) @ X0 @ additive_identity))),
% 2.46/1.34 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl78])).
% 2.46/1.34 thf(zip_derived_cl965, plain,
% 2.46/1.34 ( (product @ (multiply @ a @ additive_identity) @
% 2.46/1.34 (h @ additive_identity @ b) @ additive_identity)),
% 2.46/1.34 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl964])).
% 2.46/1.34 thf(zip_derived_cl2, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 2.46/1.34 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 2.46/1.34 thf(multiplication_is_well_defined, axiom,
% 2.46/1.34 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ X @ Y @ V ) ) |
% 2.46/1.34 ( ( U ) = ( V ) ))).
% 2.46/1.34 thf(zip_derived_cl16, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.46/1.34 (~ (product @ X0 @ X1 @ X2)
% 2.46/1.34 | ~ (product @ X0 @ X1 @ X3)
% 2.46/1.34 | ((X2) = (X3)))),
% 2.46/1.34 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 2.46/1.34 thf(zip_derived_cl59, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.46/1.34 (((multiply @ X1 @ X0) = (X2)) | ~ (product @ X1 @ X0 @ X2))),
% 2.46/1.34 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl16])).
% 2.46/1.34 thf(zip_derived_cl973, plain,
% 2.46/1.34 (((multiply @ (multiply @ a @ additive_identity) @
% 2.46/1.34 (h @ additive_identity @ b)) = (additive_identity))),
% 2.46/1.34 inference('sup-', [status(thm)], [zip_derived_cl965, zip_derived_cl59])).
% 2.46/1.34 thf(zip_derived_cl2, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 2.46/1.34 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 2.46/1.34 thf(additive_identity2, axiom, (sum @ X @ additive_identity @ X)).
% 2.46/1.34 thf(zip_derived_cl1, plain,
% 2.46/1.34 (![X0 : $i]: (sum @ X0 @ additive_identity @ X0)),
% 2.46/1.34 inference('cnf', [status(esa)], [additive_identity2])).
% 2.46/1.34 thf(zip_derived_cl18, plain, ( (product @ a @ b @ additive_identity)),
% 2.46/1.34 inference('cnf', [status(esa)], [a_times_b])).
% 2.46/1.34 thf(zip_derived_cl18, plain, ( (product @ a @ b @ additive_identity)),
% 2.46/1.34 inference('cnf', [status(esa)], [a_times_b])).
% 2.46/1.34 thf(distributivity1, axiom,
% 2.46/1.34 (( ~( product @ X @ Y @ V1 ) ) | ( ~( product @ X @ Z @ V2 ) ) |
% 2.46/1.34 ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( product @ X @ V3 @ V4 ) ) |
% 2.46/1.34 ( sum @ V1 @ V2 @ V4 ))).
% 2.46/1.34 thf(zip_derived_cl11, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 2.46/1.34 (~ (product @ X0 @ X1 @ X2)
% 2.46/1.34 | ~ (product @ X0 @ X3 @ X4)
% 2.46/1.34 | ~ (sum @ X1 @ X3 @ X5)
% 2.46/1.34 | ~ (product @ X0 @ X5 @ X6)
% 2.46/1.34 | (sum @ X2 @ X4 @ X6))),
% 2.46/1.34 inference('cnf', [status(esa)], [distributivity1])).
% 2.46/1.34 thf(zip_derived_cl86, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.46/1.34 ( (sum @ additive_identity @ X1 @ X0)
% 2.46/1.34 | ~ (product @ a @ X2 @ X0)
% 2.46/1.34 | ~ (sum @ b @ X3 @ X2)
% 2.46/1.34 | ~ (product @ a @ X3 @ X1))),
% 2.46/1.34 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl11])).
% 2.46/1.34 thf(zip_derived_cl1300, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i]:
% 2.46/1.34 (~ (product @ a @ X1 @ X0)
% 2.46/1.34 | ~ (sum @ b @ X1 @ b)
% 2.46/1.34 | (sum @ additive_identity @ X0 @ additive_identity))),
% 2.46/1.34 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl86])).
% 2.46/1.34 thf(zip_derived_cl1302, plain,
% 2.46/1.34 (![X0 : $i]:
% 2.46/1.34 ( (sum @ additive_identity @ X0 @ additive_identity)
% 2.46/1.34 | ~ (product @ a @ additive_identity @ X0))),
% 2.46/1.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1300])).
% 2.46/1.34 thf(zip_derived_cl1307, plain,
% 2.46/1.34 ( (sum @ additive_identity @ (multiply @ a @ additive_identity) @
% 2.46/1.34 additive_identity)),
% 2.46/1.34 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1302])).
% 2.46/1.34 thf(additive_identity1, axiom, (sum @ additive_identity @ X @ X)).
% 2.46/1.34 thf(zip_derived_cl0, plain,
% 2.46/1.34 (![X0 : $i]: (sum @ additive_identity @ X0 @ X0)),
% 2.46/1.34 inference('cnf', [status(esa)], [additive_identity1])).
% 2.46/1.34 thf(addition_is_well_defined, axiom,
% 2.46/1.34 (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ X @ Y @ V ) ) | ( ( U ) = ( V ) ))).
% 2.46/1.34 thf(zip_derived_cl15, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.46/1.34 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 2.46/1.34 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 2.46/1.34 thf(zip_derived_cl55, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i]:
% 2.46/1.34 (((X0) = (X1)) | ~ (sum @ additive_identity @ X0 @ X1))),
% 2.46/1.34 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl15])).
% 2.46/1.34 thf(zip_derived_cl1333, plain,
% 2.46/1.34 (((multiply @ a @ additive_identity) = (additive_identity))),
% 2.46/1.34 inference('sup-', [status(thm)], [zip_derived_cl1307, zip_derived_cl55])).
% 2.46/1.34 thf(zip_derived_cl2, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 2.46/1.34 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 2.46/1.34 thf(zip_derived_cl21, plain,
% 2.46/1.34 (![X0 : $i]:
% 2.46/1.34 (product @ additive_identity @ (h @ additive_identity @ X0) @ X0)),
% 2.46/1.34 inference('eq_res', [status(thm)], [zip_derived_cl17])).
% 2.46/1.34 thf(zip_derived_cl16, plain,
% 2.46/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.46/1.34 (~ (product @ X0 @ X1 @ X2)
% 2.46/1.34 | ~ (product @ X0 @ X1 @ X3)
% 2.46/1.34 | ((X2) = (X3)))),
% 2.46/1.35 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 2.46/1.35 thf(zip_derived_cl60, plain,
% 2.46/1.35 (![X0 : $i, X1 : $i]:
% 2.46/1.35 (((X0) = (X1))
% 2.46/1.35 | ~ (product @ additive_identity @ (h @ additive_identity @ X0) @ X1))),
% 2.46/1.35 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl16])).
% 2.46/1.35 thf(zip_derived_cl172, plain,
% 2.46/1.35 (![X0 : $i]:
% 2.46/1.35 ((X0) = (multiply @ additive_identity @ (h @ additive_identity @ X0)))),
% 2.46/1.35 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl60])).
% 2.46/1.35 thf(zip_derived_cl1345, plain, (((b) = (additive_identity))),
% 2.46/1.35 inference('demod', [status(thm)],
% 2.46/1.35 [zip_derived_cl973, zip_derived_cl1333, zip_derived_cl172])).
% 2.46/1.35 thf(prove_b_is_additive_identity, conjecture,
% 2.46/1.35 (( b ) = ( additive_identity ))).
% 2.46/1.35 thf(zf_stmt_0, negated_conjecture, (( b ) != ( additive_identity )),
% 2.46/1.35 inference('cnf.neg', [status(esa)], [prove_b_is_additive_identity])).
% 2.46/1.35 thf(zip_derived_cl20, plain, (((b) != (additive_identity))),
% 2.46/1.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.46/1.35 thf(zip_derived_cl1346, plain, ($false),
% 2.46/1.35 inference('simplify_reflect-', [status(thm)],
% 2.46/1.35 [zip_derived_cl1345, zip_derived_cl20])).
% 2.46/1.35
% 2.46/1.35 % SZS output end Refutation
% 2.46/1.35
% 2.46/1.35
% 2.46/1.35 % Terminating...
% 2.86/1.52 % Runner terminated.
% 2.89/1.55 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------