%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP559-1 : 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.TkUGuEQg5Q true
% Computer : n025.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 04:36:40 PM UTC 2025
% Result : Unsatisfiable 1.97s 0.76s
% Output : Refutation 1.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP559-1 : TPTP v9.2.0. Released v2.6.0.
% 0.00/0.08 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TkUGuEQg5Q true
% 0.07/0.27 % Computer : n025.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Wed Oct 1 14:15:08 EDT 2025
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % Running portfolio for 300 s
% 0.07/0.27 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.27 % Number of cores: 8
% 0.07/0.27 % Python version: Python 3.6.8
% 0.07/0.28 % Running in FO mode
% 0.13/0.44 % Total configuration time : 435
% 0.13/0.44 % Estimated wc time : 1092
% 0.13/0.44 % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.51 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.51 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.52 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.52 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.52 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.52 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.53 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.97/0.76 % Solved by fo/fo7.sh.
% 1.97/0.76 % done 293 iterations in 0.219s
% 1.97/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.97/0.76 % SZS output start Refutation
% 1.97/0.76 thf(inverse_type, type, inverse: $i > $i).
% 1.97/0.76 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.97/0.76 thf(b3_type, type, b3: $i).
% 1.97/0.76 thf(divide_type, type, divide: $i > $i > $i).
% 1.97/0.76 thf(a3_type, type, a3: $i).
% 1.97/0.76 thf(c3_type, type, c3: $i).
% 1.97/0.76 thf(single_axiom, axiom,
% 1.97/0.76 (( divide @
% 1.97/0.76 A @ ( inverse @ ( divide @ ( divide @ B @ C ) @ ( divide @ A @ C ) ) ) ) =
% 1.97/0.76 ( B ))).
% 1.97/0.76 thf(zip_derived_cl0, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.97/0.76 ((divide @ X1 @
% 1.97/0.76 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 1.97/0.76 = (X0))),
% 1.97/0.76 inference('cnf', [status(esa)], [single_axiom])).
% 1.97/0.76 thf(zip_derived_cl0, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.97/0.76 ((divide @ X1 @
% 1.97/0.76 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 1.97/0.76 = (X0))),
% 1.97/0.76 inference('cnf', [status(esa)], [single_axiom])).
% 1.97/0.76 thf(zip_derived_cl0, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.97/0.76 ((divide @ X1 @
% 1.97/0.76 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 1.97/0.76 = (X0))),
% 1.97/0.76 inference('cnf', [status(esa)], [single_axiom])).
% 1.97/0.76 thf(zip_derived_cl0, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.97/0.76 ((divide @ X1 @
% 1.97/0.76 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 1.97/0.76 = (X0))),
% 1.97/0.76 inference('cnf', [status(esa)], [single_axiom])).
% 1.97/0.76 thf(zip_derived_cl4, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.97/0.76 ((divide @ X3 @
% 1.97/0.76 (inverse @
% 1.97/0.76 (divide @ X0 @
% 1.97/0.76 (divide @ X3 @
% 1.97/0.76 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2)))))))
% 1.97/0.76 = (X1))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.97/0.76 thf(zip_derived_cl12, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ X1 @ (inverse @ (divide @ X0 @ X0))) = (X1))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 1.97/0.76 thf(zip_derived_cl4, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.97/0.76 ((divide @ X3 @
% 1.97/0.76 (inverse @
% 1.97/0.76 (divide @ X0 @
% 1.97/0.76 (divide @ X3 @
% 1.97/0.76 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2)))))))
% 1.97/0.76 = (X1))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.97/0.76 thf(zip_derived_cl22, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 1.97/0.76 thf(zip_derived_cl22, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 1.97/0.76 thf(zip_derived_cl22, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 1.97/0.76 thf(zip_derived_cl32, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ (inverse @ (divide @ X0 @ X1)) @ (inverse @ X0)) = (X1))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl22])).
% 1.97/0.76 thf(zip_derived_cl12, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ X1 @ (inverse @ (divide @ X0 @ X0))) = (X1))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 1.97/0.76 thf(zip_derived_cl58, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((X0) = (inverse @ (divide @ (divide @ X1 @ X1) @ X0)))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl12])).
% 1.97/0.76 thf(zip_derived_cl0, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.97/0.76 ((divide @ X1 @
% 1.97/0.76 (inverse @ (divide @ (divide @ X0 @ X2) @ (divide @ X1 @ X2))))
% 1.97/0.76 = (X0))),
% 1.97/0.76 inference('cnf', [status(esa)], [single_axiom])).
% 1.97/0.76 thf(zip_derived_cl72, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.97/0.76 thf(zip_derived_cl119, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl72])).
% 1.97/0.76 thf(zip_derived_cl177, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.97/0.76 ((divide @ X1 @ (divide @ (divide @ X1 @ X2) @ (divide @ X0 @ X2)))
% 1.97/0.76 = (X0))),
% 1.97/0.76 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl119])).
% 1.97/0.76 thf(zip_derived_cl72, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.97/0.76 thf(zip_derived_cl1153, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.97/0.76 ((divide @ X2 @ X0)
% 1.97/0.76 = (divide @ (divide @ X2 @ X1) @ (divide @ X0 @ X1)))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl177, zip_derived_cl72])).
% 1.97/0.76 thf(zip_derived_cl72, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.97/0.76 thf(zip_derived_cl58, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((X0) = (inverse @ (divide @ (divide @ X1 @ X1) @ X0)))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl12])).
% 1.97/0.76 thf(zip_derived_cl110, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ (divide @ X1 @ X1) @ X0) = (inverse @ X0))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl58])).
% 1.97/0.76 thf(zip_derived_cl58, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((X0) = (inverse @ (divide @ (divide @ X1 @ X1) @ X0)))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl12])).
% 1.97/0.76 thf(zip_derived_cl222, plain,
% 1.97/0.76 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl58])).
% 1.97/0.76 thf(zip_derived_cl32, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ (inverse @ (divide @ X0 @ X1)) @ (inverse @ X0)) = (X1))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl22])).
% 1.97/0.76 thf(zip_derived_cl119, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl72])).
% 1.97/0.76 thf(zip_derived_cl183, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 1.97/0.76 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl119])).
% 1.97/0.76 thf(zip_derived_cl254, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl222, zip_derived_cl183])).
% 1.97/0.76 thf(zip_derived_cl72, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl0])).
% 1.97/0.76 thf(zip_derived_cl119, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl72])).
% 1.97/0.76 thf(zip_derived_cl187, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ (divide @ X1 @ X0) @ X1) = (inverse @ X0))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl119])).
% 1.97/0.76 thf(zip_derived_cl187, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ (divide @ X1 @ X0) @ X1) = (inverse @ X0))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl119])).
% 1.97/0.76 thf(prove_these_axioms_3, conjecture,
% 1.97/0.76 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 1.97/0.76 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 1.97/0.76 thf(zf_stmt_0, negated_conjecture,
% 1.97/0.76 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.97/0.76 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 1.97/0.76 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 1.97/0.76 thf(zip_derived_cl2, plain,
% 1.97/0.76 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.97/0.76 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.97/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.97/0.76 thf(multiply, axiom,
% 1.97/0.76 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 1.97/0.76 thf(zip_derived_cl1, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.97/0.76 inference('cnf', [status(esa)], [multiply])).
% 1.97/0.76 thf(zip_derived_cl1, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.97/0.76 inference('cnf', [status(esa)], [multiply])).
% 1.97/0.76 thf(zip_derived_cl1, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.97/0.76 inference('cnf', [status(esa)], [multiply])).
% 1.97/0.76 thf(zip_derived_cl1, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.97/0.76 inference('cnf', [status(esa)], [multiply])).
% 1.97/0.76 thf(zip_derived_cl3, plain,
% 1.97/0.76 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 1.97/0.76 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))),
% 1.97/0.76 inference('demod', [status(thm)],
% 1.97/0.76 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 1.97/0.76 zip_derived_cl1, zip_derived_cl1])).
% 1.97/0.76 thf(zip_derived_cl119, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ X1 @ X0) = (inverse @ (divide @ X0 @ X1)))),
% 1.97/0.76 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl72])).
% 1.97/0.76 thf(zip_derived_cl178, plain,
% 1.97/0.76 (((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 1.97/0.76 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 1.97/0.76 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl119])).
% 1.97/0.76 thf(zip_derived_cl299, plain,
% 1.97/0.76 (![X0 : $i]:
% 1.97/0.76 ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 1.97/0.76 != (divide @ a3 @ (divide @ (divide @ (divide @ X0 @ c3) @ X0) @ b3)))),
% 1.97/0.76 inference('sup-', [status(thm)], [zip_derived_cl187, zip_derived_cl178])).
% 1.97/0.76 thf(zip_derived_cl319, plain,
% 1.97/0.76 (![X0 : $i, X1 : $i]:
% 1.97/0.76 ((divide @ (divide @ a3 @ (inverse @ b3)) @
% 1.97/0.76 (divide @ (divide @ X0 @ c3) @ X0))
% 1.97/0.76 != (divide @ a3 @ (divide @ (divide @ (divide @ X1 @ c3) @ X1) @ b3)))),
% 1.97/0.76 inference('sup-', [status(thm)], [zip_derived_cl187, zip_derived_cl299])).
% 1.97/0.76 thf(zip_derived_cl1263, plain,
% 1.97/0.76 (![X0 : $i]:
% 1.97/0.76 ((divide @ (divide @ a3 @ (inverse @ b3)) @
% 1.97/0.76 (divide @ (divide @ X0 @ c3) @ X0))
% 1.97/0.76 != (divide @ a3 @ (divide @ (inverse @ b3) @ c3)))),
% 1.97/0.76 inference('sup-', [status(thm)], [zip_derived_cl254, zip_derived_cl319])).
% 1.97/0.76 thf(zip_derived_cl1414, plain,
% 1.97/0.76 (((divide @ a3 @ (divide @ (inverse @ b3) @ c3))
% 1.97/0.76 != (divide @ a3 @ (divide @ (inverse @ b3) @ c3)))),
% 1.97/0.76 inference('sup-', [status(thm)], [zip_derived_cl1153, zip_derived_cl1263])).
% 1.97/0.76 thf(zip_derived_cl1470, plain, ($false),
% 1.97/0.76 inference('simplify', [status(thm)], [zip_derived_cl1414])).
% 1.97/0.76
% 1.97/0.76 % SZS output end Refutation
% 1.97/0.76
% 1.97/0.76
% 1.97/0.76 % Terminating...
% 2.51/0.86 % Runner terminated.
% 2.51/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------