%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO002-2 : TPTP v9.2.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sODhVaAnA9 true
% Computer : n005.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 04:29:43 PM UTC 2025
% Result : Unsatisfiable 5.48s 1.42s
% Output : Refutation 5.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : BOO002-2 : TPTP v9.2.0. Released v1.1.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sODhVaAnA9 true
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 13:56:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.48/1.42 % Solved by fo/fo7.sh.
% 5.48/1.42 % done 147 iterations in 0.635s
% 5.48/1.42 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.48/1.42 % SZS output start Refutation
% 5.48/1.42 thf(multiply_type, type, multiply: $i > $i > $i > $i).
% 5.48/1.42 thf(b_type, type, b: $i).
% 5.48/1.42 thf(inverse_type, type, inverse: $i > $i).
% 5.48/1.42 thf(a_type, type, a: $i).
% 5.48/1.42 thf(prove_equation, conjecture,
% 5.48/1.42 (( multiply @ a @ ( inverse @ a ) @ b ) = ( b ))).
% 5.48/1.42 thf(zf_stmt_0, negated_conjecture,
% 5.48/1.42 (( multiply @ a @ ( inverse @ a ) @ b ) != ( b )),
% 5.48/1.42 inference('cnf.neg', [status(esa)], [prove_equation])).
% 5.48/1.42 thf(zip_derived_cl5, plain, (((multiply @ a @ (inverse @ a) @ b) != (b))),
% 5.48/1.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.48/1.42 thf(ternary_multiply_2, axiom, (( multiply @ X @ X @ Y ) = ( X ))).
% 5.48/1.42 thf(zip_derived_cl2, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 5.48/1.42 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 5.48/1.42 thf(zip_derived_cl2, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 5.48/1.42 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 5.48/1.42 thf(ternary_multiply_1, axiom, (( multiply @ Y @ X @ X ) = ( X ))).
% 5.48/1.42 thf(zip_derived_cl1, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0 @ X0) = (X0))),
% 5.48/1.42 inference('cnf', [status(esa)], [ternary_multiply_1])).
% 5.48/1.42 thf(associativity, axiom,
% 5.48/1.42 (( multiply @ ( multiply @ V @ W @ X ) @ Y @ ( multiply @ V @ W @ Z ) ) =
% 5.48/1.42 ( multiply @ V @ W @ ( multiply @ X @ Y @ Z ) ))).
% 5.48/1.42 thf(zip_derived_cl0, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.48/1.42 ((multiply @ (multiply @ X0 @ X1 @ X2) @ X3 @
% 5.48/1.42 (multiply @ X0 @ X1 @ X4))
% 5.48/1.42 = (multiply @ X0 @ X1 @ (multiply @ X2 @ X3 @ X4)))),
% 5.48/1.42 inference('cnf', [status(esa)], [associativity])).
% 5.48/1.42 thf(zip_derived_cl11, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.42 ((multiply @ (multiply @ X3 @ X0 @ X2) @ X1 @ X0)
% 5.48/1.42 = (multiply @ X3 @ X0 @ (multiply @ X2 @ X1 @ X0)))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.48/1.42 thf(zip_derived_cl2, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 5.48/1.42 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 5.48/1.42 thf(left_inverse, axiom, (( multiply @ ( inverse @ Y ) @ Y @ X ) = ( X ))).
% 5.48/1.42 thf(zip_derived_cl3, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i]: ((multiply @ (inverse @ X1) @ X1 @ X0) = (X0))),
% 5.48/1.42 inference('cnf', [status(esa)], [left_inverse])).
% 5.48/1.42 thf(zip_derived_cl11, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.42 ((multiply @ (multiply @ X3 @ X0 @ X2) @ X1 @ X0)
% 5.48/1.42 = (multiply @ X3 @ X0 @ (multiply @ X2 @ X1 @ X0)))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.48/1.42 thf(zip_derived_cl11, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.42 ((multiply @ (multiply @ X3 @ X0 @ X2) @ X1 @ X0)
% 5.48/1.42 = (multiply @ X3 @ X0 @ (multiply @ X2 @ X1 @ X0)))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.48/1.42 thf(zip_derived_cl30, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.48/1.42 ((multiply @ (multiply @ X3 @ X0 @ (multiply @ X2 @ X1 @ X0)) @ X4 @
% 5.48/1.42 X1)
% 5.48/1.42 = (multiply @ (multiply @ X3 @ X0 @ X2) @ X1 @
% 5.48/1.42 (multiply @ X0 @ X4 @ X1)))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl11])).
% 5.48/1.42 thf(zip_derived_cl635, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.42 ((multiply @ (multiply @ X3 @ X0 @ X0) @ X2 @ X1)
% 5.48/1.42 = (multiply @ (multiply @ X3 @ X0 @ (inverse @ X1)) @ X1 @
% 5.48/1.42 (multiply @ X0 @ X2 @ X1)))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl30])).
% 5.48/1.42 thf(zip_derived_cl1, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0 @ X0) = (X0))),
% 5.48/1.42 inference('cnf', [status(esa)], [ternary_multiply_1])).
% 5.48/1.42 thf(zip_derived_cl658, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.42 ((multiply @ X0 @ X2 @ X1)
% 5.48/1.42 = (multiply @ (multiply @ X3 @ X0 @ (inverse @ X1)) @ X1 @
% 5.48/1.42 (multiply @ X0 @ X2 @ X1)))),
% 5.48/1.42 inference('demod', [status(thm)], [zip_derived_cl635, zip_derived_cl1])).
% 5.48/1.42 thf(zip_derived_cl2513, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.42 ((multiply @ X0 @ X0 @ X1)
% 5.48/1.42 = (multiply @ (multiply @ X2 @ X0 @ (inverse @ X1)) @ X1 @ X0))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl658])).
% 5.48/1.42 thf(zip_derived_cl2, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 5.48/1.42 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 5.48/1.42 thf(zip_derived_cl2558, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.42 ((X0) = (multiply @ (multiply @ X2 @ X0 @ (inverse @ X1)) @ X1 @ X0))),
% 5.48/1.42 inference('demod', [status(thm)], [zip_derived_cl2513, zip_derived_cl2])).
% 5.48/1.42 thf(zip_derived_cl2669, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.42 ((X1)
% 5.48/1.42 = (multiply @
% 5.48/1.42 (multiply @ X3 @ (inverse @ X0) @
% 5.48/1.42 (multiply @ X2 @ X1 @ (inverse @ X0))) @
% 5.48/1.42 X0 @ X1))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl2558])).
% 5.48/1.42 thf(zip_derived_cl3130, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.42 ((X0) = (multiply @ (multiply @ X2 @ (inverse @ X1) @ X0) @ X1 @ X0))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2669])).
% 5.48/1.42 thf(zip_derived_cl2, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 5.48/1.42 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 5.48/1.42 thf(zip_derived_cl0, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.48/1.42 ((multiply @ (multiply @ X0 @ X1 @ X2) @ X3 @
% 5.48/1.42 (multiply @ X0 @ X1 @ X4))
% 5.48/1.42 = (multiply @ X0 @ X1 @ (multiply @ X2 @ X3 @ X4)))),
% 5.48/1.42 inference('cnf', [status(esa)], [associativity])).
% 5.48/1.42 thf(zip_derived_cl9, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.42 ((multiply @ X2 @ X1 @ X0)
% 5.48/1.42 = (multiply @ X2 @ X1 @
% 5.48/1.42 (multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @ X3)))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 5.48/1.42 thf(extra_lemma, axiom, (( multiply @ X @ Y @ X ) = ( X ))).
% 5.48/1.42 thf(zip_derived_cl4, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1 @ X0) = (X0))),
% 5.48/1.42 inference('cnf', [status(esa)], [extra_lemma])).
% 5.48/1.42 thf(zip_derived_cl11, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.42 ((multiply @ (multiply @ X3 @ X0 @ X2) @ X1 @ X0)
% 5.48/1.42 = (multiply @ X3 @ X0 @ (multiply @ X2 @ X1 @ X0)))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 5.48/1.42 thf(zip_derived_cl33, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.42 ((multiply @ X0 @ X2 @ X1)
% 5.48/1.42 = (multiply @ X0 @ X1 @ (multiply @ X0 @ X2 @ X1)))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl11])).
% 5.48/1.42 thf(zip_derived_cl9, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.42 ((multiply @ X2 @ X1 @ X0)
% 5.48/1.42 = (multiply @ X2 @ X1 @
% 5.48/1.42 (multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @ X3)))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 5.48/1.42 thf(zip_derived_cl446, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.42 ((multiply @ X2 @ X1 @ X0)
% 5.48/1.42 = (multiply @ X2 @ X1 @
% 5.48/1.42 (multiply @ X0 @ X3 @ (multiply @ X2 @ X1 @ X0))))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl9])).
% 5.48/1.42 thf(zip_derived_cl808, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.42 ((multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @ X2)
% 5.48/1.42 = (multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @
% 5.48/1.42 (multiply @ X2 @ X1 @ X0)))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl446])).
% 5.48/1.42 thf(zip_derived_cl1, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0 @ X0) = (X0))),
% 5.48/1.42 inference('cnf', [status(esa)], [ternary_multiply_1])).
% 5.48/1.42 thf(zip_derived_cl843, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.42 ((multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @ X2)
% 5.48/1.42 = (multiply @ X2 @ X1 @ X0))),
% 5.48/1.42 inference('demod', [status(thm)], [zip_derived_cl808, zip_derived_cl1])).
% 5.48/1.42 thf(zip_derived_cl4, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1 @ X0) = (X0))),
% 5.48/1.42 inference('cnf', [status(esa)], [extra_lemma])).
% 5.48/1.42 thf(zip_derived_cl0, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.48/1.42 ((multiply @ (multiply @ X0 @ X1 @ X2) @ X3 @
% 5.48/1.42 (multiply @ X0 @ X1 @ X4))
% 5.48/1.42 = (multiply @ X0 @ X1 @ (multiply @ X2 @ X3 @ X4)))),
% 5.48/1.42 inference('cnf', [status(esa)], [associativity])).
% 5.48/1.42 thf(zip_derived_cl13, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.42 ((multiply @ (multiply @ X0 @ X3 @ X2) @ X1 @ X0)
% 5.48/1.42 = (multiply @ X0 @ X3 @ (multiply @ X2 @ X1 @ X0)))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 5.48/1.42 thf(zip_derived_cl909, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.48/1.42 ((multiply @ (multiply @ X2 @ X1 @ X0) @ X3 @ X0)
% 5.48/1.42 = (multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @
% 5.48/1.42 (multiply @ X2 @ X3 @ X0)))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl843, zip_derived_cl13])).
% 5.48/1.42 thf(zip_derived_cl3236, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.42 ((X0)
% 5.48/1.42 = (multiply @ X0 @ (multiply @ X2 @ (inverse @ X1) @ X0) @
% 5.48/1.42 (multiply @ X2 @ X1 @ X0)))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl3130, zip_derived_cl909])).
% 5.48/1.42 thf(zip_derived_cl3349, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i]:
% 5.48/1.42 ((X1) = (multiply @ X1 @ (multiply @ X0 @ (inverse @ X0) @ X1) @ X0))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl3236])).
% 5.48/1.42 thf(zip_derived_cl843, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.48/1.42 ((multiply @ X0 @ (multiply @ X2 @ X1 @ X0) @ X2)
% 5.48/1.42 = (multiply @ X2 @ X1 @ X0))),
% 5.48/1.42 inference('demod', [status(thm)], [zip_derived_cl808, zip_derived_cl1])).
% 5.48/1.42 thf(zip_derived_cl3533, plain,
% 5.48/1.42 (![X0 : $i, X1 : $i]: ((X0) = (multiply @ X1 @ (inverse @ X1) @ X0))),
% 5.48/1.42 inference('sup+', [status(thm)], [zip_derived_cl3349, zip_derived_cl843])).
% 5.48/1.42 thf(zip_derived_cl3608, plain, (((b) != (b))),
% 5.48/1.42 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3533])).
% 5.48/1.42 thf(zip_derived_cl3609, plain, ($false),
% 5.48/1.42 inference('simplify', [status(thm)], [zip_derived_cl3608])).
% 5.48/1.42
% 5.48/1.42 % SZS output end Refutation
% 5.48/1.42
% 5.48/1.42
% 5.48/1.42 % Terminating...
% 6.09/1.48 % Runner terminated.
% 6.09/1.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------