%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP598-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LtgCIrf0Ga true
% Computer : n023.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 04:36:45 PM UTC 2025
% Result : Unsatisfiable 0.48s 0.85s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.14 % Problem : GRP598-1 : TPTP v9.2.0. Released v2.6.0.
% 0.02/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LtgCIrf0Ga true
% 0.12/0.36 % Computer : n023.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Oct 1 14:08:23 EDT 2025
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Running portfolio for 300 s
% 0.12/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.36 % Running in FO mode
% 0.48/0.65 % Total configuration time : 435
% 0.48/0.65 % Estimated wc time : 1092
% 0.48/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.85 % Solved by fo/fo3_bce.sh.
% 0.48/0.85 % BCE start: 3
% 0.48/0.85 % BCE eliminated: 0
% 0.48/0.85 % PE start: 3
% 0.48/0.85 logic: eq
% 0.48/0.85 % PE eliminated: 0
% 0.48/0.85 % done 41 iterations in 0.036s
% 0.48/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.85 % SZS output start Refutation
% 0.48/0.85 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.48/0.85 thf(a2_type, type, a2: $i).
% 0.48/0.85 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.48/0.85 thf(b2_type, type, b2: $i).
% 0.48/0.85 thf(inverse_type, type, inverse: $i > $i).
% 0.48/0.85 thf(single_axiom, axiom,
% 0.48/0.85 (( double_divide @
% 0.48/0.85 ( double_divide @ A @ B ) @
% 0.48/0.85 ( inverse @
% 0.48/0.85 ( double_divide @
% 0.48/0.85 A @ ( inverse @ ( double_divide @ ( inverse @ C ) @ B ) ) ) ) ) =
% 0.48/0.85 ( C ))).
% 0.48/0.85 thf(zip_derived_cl0, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.85 ((double_divide @ (double_divide @ X1 @ X2) @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @ X1 @
% 0.48/0.85 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.48/0.85 = (X0))),
% 0.48/0.85 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.85 thf(zip_derived_cl0, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.85 ((double_divide @ (double_divide @ X1 @ X2) @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @ X1 @
% 0.48/0.85 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.48/0.85 = (X0))),
% 0.48/0.85 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.85 thf(zip_derived_cl4, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.85 ((double_divide @ X0 @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @ (double_divide @ X3 @ X2) @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @ (inverse @ X1) @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @ X3 @
% 0.48/0.85 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))))))
% 0.48/0.85 = (X1))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.48/0.85 thf(zip_derived_cl4, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.85 ((double_divide @ X0 @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @ (double_divide @ X3 @ X2) @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @ (inverse @ X1) @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @ X3 @
% 0.48/0.85 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))))))
% 0.48/0.85 = (X1))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.48/0.85 thf(zip_derived_cl17, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.85 ((double_divide @ X0 @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @
% 0.48/0.85 (double_divide @ (double_divide @ X3 @ X2) @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @ X3 @
% 0.48/0.85 (inverse @ (double_divide @ (inverse @ (inverse @ X1)) @ X2))))) @
% 0.48/0.85 (inverse @ X0))))
% 0.48/0.85 = (X1))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 0.48/0.85 thf(zip_derived_cl0, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.85 ((double_divide @ (double_divide @ X1 @ X2) @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @ X1 @
% 0.48/0.85 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.48/0.85 = (X0))),
% 0.48/0.85 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.85 thf(zip_derived_cl24, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((double_divide @ X0 @
% 0.48/0.85 (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))))
% 0.48/0.85 = (X1))),
% 0.48/0.85 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 0.48/0.85 thf(zip_derived_cl0, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.85 ((double_divide @ (double_divide @ X1 @ X2) @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @ X1 @
% 0.48/0.85 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.48/0.85 = (X0))),
% 0.48/0.85 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.85 thf(zip_derived_cl28, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 0.48/0.85 (inverse @ X0)) = (X0))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 0.48/0.85 thf(zip_derived_cl28, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((double_divide @ (double_divide @ X1 @ (inverse @ X1)) @
% 0.48/0.85 (inverse @ X0)) = (X0))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 0.48/0.85 thf(zip_derived_cl24, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((double_divide @ X0 @
% 0.48/0.85 (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))))
% 0.48/0.85 = (X1))),
% 0.48/0.85 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 0.48/0.85 thf(zip_derived_cl42, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((double_divide @ (inverse @ X1) @
% 0.48/0.85 (inverse @ (double_divide @ X0 @ (inverse @ X0)))) = (X1))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl24])).
% 0.48/0.85 thf(zip_derived_cl0, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.85 ((double_divide @ (double_divide @ X1 @ X2) @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @ X1 @
% 0.48/0.85 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.48/0.85 = (X0))),
% 0.48/0.85 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.85 thf(zip_derived_cl0, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.85 ((double_divide @ (double_divide @ X1 @ X2) @
% 0.48/0.85 (inverse @
% 0.48/0.85 (double_divide @ X1 @
% 0.48/0.85 (inverse @ (double_divide @ (inverse @ X0) @ X2)))))
% 0.48/0.85 = (X0))),
% 0.48/0.85 inference('cnf', [status(esa)], [single_axiom])).
% 0.48/0.85 thf(zip_derived_cl5, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.85 ((double_divide @
% 0.48/0.85 (double_divide @ (double_divide @ (inverse @ X1) @ X2) @
% 0.48/0.85 (inverse @ (double_divide @ (inverse @ X0) @ X2))) @
% 0.48/0.85 (inverse @ X0)) = (X1))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.48/0.85 thf(zip_derived_cl57, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.85 ((double_divide @
% 0.48/0.85 (double_divide @
% 0.48/0.85 (double_divide @ (inverse @ X1) @
% 0.48/0.85 (inverse @ (double_divide @ X2 @ (inverse @ X2)))) @
% 0.48/0.85 (inverse @ X0)) @
% 0.48/0.85 (inverse @ X0)) = (X1))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl5])).
% 0.48/0.85 thf(zip_derived_cl42, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((double_divide @ (inverse @ X1) @
% 0.48/0.85 (inverse @ (double_divide @ X0 @ (inverse @ X0)))) = (X1))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl24])).
% 0.48/0.85 thf(zip_derived_cl64, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((double_divide @ (double_divide @ X1 @ (inverse @ X0)) @
% 0.48/0.85 (inverse @ X0)) = (X1))),
% 0.48/0.85 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl42])).
% 0.48/0.85 thf(zip_derived_cl74, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((double_divide @ X0 @ (inverse @ X0))
% 0.48/0.85 = (double_divide @ X1 @ (inverse @ X1)))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl64])).
% 0.48/0.85 thf(prove_these_axioms_2, conjecture,
% 0.48/0.85 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 0.48/0.85 thf(zf_stmt_0, negated_conjecture,
% 0.48/0.85 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 0.48/0.85 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 0.48/0.85 thf(zip_derived_cl2, plain,
% 0.48/0.85 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 0.48/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.85 thf(multiply, axiom,
% 0.48/0.85 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.48/0.85 thf(zip_derived_cl1, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.48/0.85 inference('cnf', [status(esa)], [multiply])).
% 0.48/0.85 thf(zip_derived_cl1, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.48/0.85 inference('cnf', [status(esa)], [multiply])).
% 0.48/0.85 thf(zip_derived_cl3, plain,
% 0.48/0.85 (((inverse @
% 0.48/0.85 (double_divide @ a2 @
% 0.48/0.85 (inverse @ (double_divide @ b2 @ (inverse @ b2)))))
% 0.48/0.85 != (a2))),
% 0.48/0.85 inference('demod', [status(thm)],
% 0.48/0.85 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.48/0.85 thf(zip_derived_cl94, plain,
% 0.48/0.85 (![X0 : $i]:
% 0.48/0.85 ((inverse @
% 0.48/0.85 (double_divide @ a2 @
% 0.48/0.85 (inverse @ (double_divide @ X0 @ (inverse @ X0)))))
% 0.48/0.85 != (a2))),
% 0.48/0.85 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl3])).
% 0.48/0.85 thf(zip_derived_cl42, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((double_divide @ (inverse @ X1) @
% 0.48/0.85 (inverse @ (double_divide @ X0 @ (inverse @ X0)))) = (X1))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl24])).
% 0.48/0.85 thf(zip_derived_cl64, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((double_divide @ (double_divide @ X1 @ (inverse @ X0)) @
% 0.48/0.85 (inverse @ X0)) = (X1))),
% 0.48/0.85 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl42])).
% 0.48/0.85 thf(zip_derived_cl77, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((double_divide @ X0 @
% 0.48/0.85 (inverse @ (double_divide @ X1 @ (inverse @ X1)))) = (inverse @ X0))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl64])).
% 0.48/0.85 thf(zip_derived_cl170, plain, (((inverse @ (inverse @ a2)) != (a2))),
% 0.48/0.85 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl77])).
% 0.48/0.85 thf(zip_derived_cl77, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((double_divide @ X0 @
% 0.48/0.85 (inverse @ (double_divide @ X1 @ (inverse @ X1)))) = (inverse @ X0))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl64])).
% 0.48/0.85 thf(zip_derived_cl24, plain,
% 0.48/0.85 (![X0 : $i, X1 : $i]:
% 0.48/0.85 ((double_divide @ X0 @
% 0.48/0.85 (inverse @ (double_divide @ (inverse @ X1) @ (inverse @ X0))))
% 0.48/0.85 = (X1))),
% 0.48/0.85 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 0.48/0.85 thf(zip_derived_cl175, plain,
% 0.48/0.85 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.48/0.85 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl24])).
% 0.48/0.85 thf(zip_derived_cl212, plain, (((a2) != (a2))),
% 0.48/0.85 inference('demod', [status(thm)], [zip_derived_cl170, zip_derived_cl175])).
% 0.48/0.85 thf(zip_derived_cl213, plain, ($false),
% 0.48/0.85 inference('simplify', [status(thm)], [zip_derived_cl212])).
% 0.48/0.85
% 0.48/0.85 % SZS output end Refutation
% 0.48/0.85
% 0.48/0.85
% 0.48/0.85 % Terminating...
% 1.34/0.97 % Runner terminated.
% 1.34/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------