%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP012-1 : 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.cXo6EVrpm1 true
% Computer : n031.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 04:35:25 PM UTC 2025
% Result : Unsatisfiable 0.61s 0.88s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP012-1 : TPTP v9.2.0. Released v1.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cXo6EVrpm1 true
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 14:25:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.57/0.66 % Total configuration time : 435
% 0.57/0.66 % Estimated wc time : 1092
% 0.57/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.88 % Solved by fo/fo13.sh.
% 0.61/0.88 % done 166 iterations in 0.070s
% 0.61/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.61/0.88 % SZS output start Refutation
% 0.61/0.88 thf(inverse_type, type, inverse: $i > $i).
% 0.61/0.88 thf(product_type, type, product: $i > $i > $i > $o).
% 0.61/0.88 thf(b_type, type, b: $i).
% 0.61/0.88 thf(identity_type, type, identity: $i).
% 0.61/0.88 thf(d_type, type, d: $i).
% 0.61/0.88 thf(c_type, type, c: $i).
% 0.61/0.88 thf(a_type, type, a: $i).
% 0.61/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.61/0.88 thf(prove_c_multiply_d_is_identity, conjecture, (product @ c @ d @ identity)).
% 0.61/0.88 thf(zf_stmt_0, negated_conjecture, (~( product @ c @ d @ identity )),
% 0.61/0.88 inference('cnf.neg', [status(esa)], [prove_c_multiply_d_is_identity])).
% 0.61/0.88 thf(zip_derived_cl10, plain, (~ (product @ c @ d @ identity)),
% 0.61/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.61/0.88 thf(a_multiply_b_is_c, axiom, (product @ a @ b @ c)).
% 0.61/0.88 thf(zip_derived_cl8, plain, ( (product @ a @ b @ c)),
% 0.61/0.88 inference('cnf', [status(esa)], [a_multiply_b_is_c])).
% 0.61/0.88 thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 0.61/0.88 thf(zip_derived_cl4, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.61/0.88 inference('cnf', [status(esa)], [total_function1])).
% 0.61/0.88 thf(inverse_b_multiply_inverse_a_is_d, axiom,
% 0.61/0.88 (product @ ( inverse @ b ) @ ( inverse @ a ) @ d)).
% 0.61/0.88 thf(zip_derived_cl9, plain, ( (product @ (inverse @ b) @ (inverse @ a) @ d)),
% 0.61/0.88 inference('cnf', [status(esa)], [inverse_b_multiply_inverse_a_is_d])).
% 0.61/0.88 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.61/0.88 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.61/0.88 inference('cnf', [status(esa)], [left_identity])).
% 0.61/0.88 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 0.61/0.88 thf(zip_derived_cl3, plain,
% 0.61/0.88 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.61/0.88 inference('cnf', [status(esa)], [right_inverse])).
% 0.61/0.88 thf(associativity1, axiom,
% 0.61/0.88 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.61/0.88 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 0.61/0.88 thf(zip_derived_cl6, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.61/0.88 (~ (product @ X0 @ X1 @ X2)
% 0.61/0.88 | ~ (product @ X1 @ X3 @ X4)
% 0.61/0.88 | ~ (product @ X2 @ X3 @ X5)
% 0.61/0.88 | (product @ X0 @ X4 @ X5))),
% 0.61/0.88 inference('cnf', [status(esa)], [associativity1])).
% 0.61/0.88 thf(zip_derived_cl20, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/0.88 (~ (product @ (inverse @ X0) @ X2 @ X1)
% 0.61/0.88 | ~ (product @ identity @ X2 @ X3)
% 0.61/0.88 | (product @ X0 @ X1 @ X3))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 0.61/0.88 thf(zip_derived_cl150, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.88 (~ (product @ (inverse @ X2) @ X0 @ X1) | (product @ X2 @ X1 @ X0))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl20])).
% 0.61/0.88 thf(zip_derived_cl164, plain, ( (product @ b @ d @ (inverse @ a))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl150])).
% 0.61/0.88 thf(zip_derived_cl4, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.61/0.88 inference('cnf', [status(esa)], [total_function1])).
% 0.61/0.88 thf(total_function2, axiom,
% 0.61/0.88 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.61/0.88 ( ( Z ) = ( W ) ))).
% 0.61/0.88 thf(zip_derived_cl5, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/0.88 (~ (product @ X0 @ X1 @ X2)
% 0.61/0.88 | ~ (product @ X0 @ X1 @ X3)
% 0.61/0.88 | ((X2) = (X3)))),
% 0.61/0.88 inference('cnf', [status(esa)], [total_function2])).
% 0.61/0.88 thf(zip_derived_cl17, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.88 (~ (product @ X1 @ X0 @ X2) | ((multiply @ X1 @ X0) = (X2)))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.61/0.88 thf(zip_derived_cl169, plain, (((multiply @ b @ d) = (inverse @ a))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl17])).
% 0.61/0.88 thf(zip_derived_cl3, plain,
% 0.61/0.88 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.61/0.88 inference('cnf', [status(esa)], [right_inverse])).
% 0.61/0.88 thf(zip_derived_cl4, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.61/0.88 inference('cnf', [status(esa)], [total_function1])).
% 0.61/0.88 thf(zip_derived_cl6, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.61/0.88 (~ (product @ X0 @ X1 @ X2)
% 0.61/0.88 | ~ (product @ X1 @ X3 @ X4)
% 0.61/0.88 | ~ (product @ X2 @ X3 @ X5)
% 0.61/0.88 | (product @ X0 @ X4 @ X5))),
% 0.61/0.88 inference('cnf', [status(esa)], [associativity1])).
% 0.61/0.88 thf(zip_derived_cl18, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.61/0.88 (~ (product @ X0 @ X3 @ X2)
% 0.61/0.88 | ~ (product @ (multiply @ X1 @ X0) @ X3 @ X4)
% 0.61/0.88 | (product @ X1 @ X2 @ X4))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 0.61/0.88 thf(zip_derived_cl79, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.88 (~ (product @ X0 @ (inverse @ (multiply @ X1 @ X0)) @ X2)
% 0.61/0.88 | (product @ X1 @ X2 @ identity))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl18])).
% 0.61/0.88 thf(zip_derived_cl173, plain,
% 0.61/0.88 (![X0 : $i]:
% 0.61/0.88 (~ (product @ d @ (inverse @ (inverse @ a)) @ X0)
% 0.61/0.88 | (product @ b @ X0 @ identity))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl169, zip_derived_cl79])).
% 0.61/0.88 thf(zip_derived_cl3, plain,
% 0.61/0.88 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.61/0.88 inference('cnf', [status(esa)], [right_inverse])).
% 0.61/0.88 thf(zip_derived_cl150, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.88 (~ (product @ (inverse @ X2) @ X0 @ X1) | (product @ X2 @ X1 @ X0))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl20])).
% 0.61/0.88 thf(zip_derived_cl162, plain,
% 0.61/0.88 (![X0 : $i]: (product @ X0 @ identity @ (inverse @ (inverse @ X0)))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl150])).
% 0.61/0.88 thf(right_identity, axiom, (product @ X @ identity @ X)).
% 0.61/0.88 thf(zip_derived_cl1, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 0.61/0.88 inference('cnf', [status(esa)], [right_identity])).
% 0.61/0.88 thf(zip_derived_cl5, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/0.88 (~ (product @ X0 @ X1 @ X2)
% 0.61/0.88 | ~ (product @ X0 @ X1 @ X3)
% 0.61/0.88 | ((X2) = (X3)))),
% 0.61/0.88 inference('cnf', [status(esa)], [total_function2])).
% 0.61/0.88 thf(zip_derived_cl11, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i]: (~ (product @ X0 @ identity @ X1) | ((X0) = (X1)))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.61/0.88 thf(zip_derived_cl192, plain,
% 0.61/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl11])).
% 0.61/0.88 thf(zip_derived_cl256, plain,
% 0.61/0.88 (![X0 : $i]: (~ (product @ d @ a @ X0) | (product @ b @ X0 @ identity))),
% 0.61/0.88 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl192])).
% 0.61/0.88 thf(zip_derived_cl257, plain,
% 0.61/0.88 ( (product @ b @ (multiply @ d @ a) @ identity)),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl256])).
% 0.61/0.88 thf(zip_derived_cl192, plain,
% 0.61/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl11])).
% 0.61/0.88 thf(zip_derived_cl150, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.88 (~ (product @ (inverse @ X2) @ X0 @ X1) | (product @ X2 @ X1 @ X0))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl20])).
% 0.61/0.88 thf(zip_derived_cl218, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.88 (~ (product @ X0 @ X2 @ X1) | (product @ (inverse @ X0) @ X1 @ X2))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl150])).
% 0.61/0.88 thf(zip_derived_cl285, plain,
% 0.61/0.88 ( (product @ (inverse @ b) @ identity @ (multiply @ d @ a))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl257, zip_derived_cl218])).
% 0.61/0.88 thf(zip_derived_cl11, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i]: (~ (product @ X0 @ identity @ X1) | ((X0) = (X1)))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.61/0.88 thf(zip_derived_cl336, plain, (((inverse @ b) = (multiply @ d @ a))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl11])).
% 0.61/0.88 thf(zip_derived_cl79, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.88 (~ (product @ X0 @ (inverse @ (multiply @ X1 @ X0)) @ X2)
% 0.61/0.88 | (product @ X1 @ X2 @ identity))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl18])).
% 0.61/0.88 thf(zip_derived_cl349, plain,
% 0.61/0.88 (![X0 : $i]:
% 0.61/0.88 (~ (product @ a @ (inverse @ (inverse @ b)) @ X0)
% 0.61/0.88 | (product @ d @ X0 @ identity))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl336, zip_derived_cl79])).
% 0.61/0.88 thf(zip_derived_cl192, plain,
% 0.61/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl11])).
% 0.61/0.88 thf(zip_derived_cl350, plain,
% 0.61/0.88 (![X0 : $i]: (~ (product @ a @ b @ X0) | (product @ d @ X0 @ identity))),
% 0.61/0.88 inference('demod', [status(thm)], [zip_derived_cl349, zip_derived_cl192])).
% 0.61/0.88 thf(zip_derived_cl371, plain, ( (product @ d @ c @ identity)),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl350])).
% 0.61/0.88 thf(zip_derived_cl218, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.88 (~ (product @ X0 @ X2 @ X1) | (product @ (inverse @ X0) @ X1 @ X2))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl150])).
% 0.61/0.88 thf(zip_derived_cl390, plain, ( (product @ (inverse @ d) @ identity @ c)),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl371, zip_derived_cl218])).
% 0.61/0.88 thf(zip_derived_cl11, plain,
% 0.61/0.88 (![X0 : $i, X1 : $i]: (~ (product @ X0 @ identity @ X1) | ((X0) = (X1)))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.61/0.88 thf(zip_derived_cl407, plain, (((inverse @ d) = (c))),
% 0.61/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl390, zip_derived_cl11])).
% 0.61/0.88 thf(left_inverse, axiom, (product @ ( inverse @ X ) @ X @ identity)).
% 0.61/0.88 thf(zip_derived_cl2, plain,
% 0.61/0.88 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 0.61/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.61/0.88 thf(zip_derived_cl413, plain, ( (product @ c @ d @ identity)),
% 0.61/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl2])).
% 0.61/0.88 thf(zip_derived_cl453, plain, ($false),
% 0.61/0.88 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl413])).
% 0.61/0.88
% 0.61/0.88 % SZS output end Refutation
% 0.61/0.88
% 0.61/0.88
% 0.61/0.88 % Terminating...
% 0.66/0.99 % Runner terminated.
% 0.66/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------