%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP519-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wQ7uRv2wEz true
% Computer : n013.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 04:36:36 PM UTC 2025
% Result : Unsatisfiable 0.47s 0.81s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : GRP519-1 : TPTP v9.2.0. Released v2.6.0.
% 0.07/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wQ7uRv2wEz true
% 0.12/0.36 % Computer : n013.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 14:16:23 EDT 2025
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Running portfolio for 300 s
% 0.12/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.37 % Running in FO mode
% 0.46/0.59 % Total configuration time : 435
% 0.46/0.59 % Estimated wc time : 1092
% 0.46/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.81 % Solved by fo/fo7.sh.
% 0.47/0.81 % done 10 iterations in 0.020s
% 0.47/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.47/0.81 % SZS output start Refutation
% 0.47/0.81 thf(inverse_type, type, inverse: $i > $i).
% 0.47/0.81 thf(b3_type, type, b3: $i).
% 0.47/0.81 thf(c3_type, type, c3: $i).
% 0.47/0.81 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.47/0.81 thf(a3_type, type, a3: $i).
% 0.47/0.81 thf(prove_these_axioms_3, conjecture,
% 0.47/0.81 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 0.47/0.81 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 0.47/0.81 thf(zf_stmt_0, negated_conjecture,
% 0.47/0.81 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.47/0.81 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 0.47/0.81 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 0.47/0.81 thf(zip_derived_cl1, plain,
% 0.47/0.81 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.47/0.81 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.81 thf(single_axiom, axiom,
% 0.47/0.81 (( multiply @
% 0.47/0.81 A @
% 0.47/0.81 ( multiply @ ( multiply @ ( inverse @ ( multiply @ A @ B ) ) @ C ) @ B ) ) =
% 0.47/0.81 ( C ))).
% 0.47/0.81 thf(zip_derived_cl0, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 ((multiply @ X1 @
% 0.47/0.81 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.47/0.81 = (X0))),
% 0.47/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 0.47/0.81 thf(zip_derived_cl0, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 ((multiply @ X1 @
% 0.47/0.81 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.47/0.81 = (X0))),
% 0.47/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 0.47/0.81 thf(zip_derived_cl0, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 ((multiply @ X1 @
% 0.47/0.81 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.47/0.81 = (X0))),
% 0.47/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 0.47/0.81 thf(zip_derived_cl3, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.81 ((multiply @ X3 @ (multiply @ X0 @ X2))
% 0.47/0.81 = (multiply @
% 0.47/0.81 (multiply @
% 0.47/0.81 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 0.47/0.81 X0) @
% 0.47/0.81 X1))),
% 0.47/0.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.47/0.81 thf(zip_derived_cl0, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 ((multiply @ X1 @
% 0.47/0.81 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.47/0.81 = (X0))),
% 0.47/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 0.47/0.81 thf(zip_derived_cl8, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 0.47/0.81 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.47/0.81 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.47/0.81 thf(zip_derived_cl8, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 0.47/0.81 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.47/0.81 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.47/0.81 thf(zip_derived_cl19, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 ((multiply @
% 0.47/0.81 (inverse @
% 0.47/0.81 (multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X0 @ X2))) @
% 0.47/0.81 X0) = (X1))),
% 0.47/0.81 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl8])).
% 0.47/0.81 thf(zip_derived_cl42, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 ((multiply @ (inverse @ X0) @
% 0.47/0.81 (multiply @
% 0.47/0.81 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X2)) @ X0))
% 0.47/0.81 = (X1))),
% 0.47/0.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl19])).
% 0.47/0.81 thf(zip_derived_cl8, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 0.47/0.81 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.47/0.81 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.47/0.81 thf(zip_derived_cl63, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ((X0) = (inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X1)))),
% 0.47/0.81 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl8])).
% 0.47/0.81 thf(zip_derived_cl3, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.81 ((multiply @ X3 @ (multiply @ X0 @ X2))
% 0.47/0.81 = (multiply @
% 0.47/0.81 (multiply @
% 0.47/0.81 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 0.47/0.81 X0) @
% 0.47/0.81 X1))),
% 0.47/0.81 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.47/0.81 thf(zip_derived_cl79, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.47/0.81 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 0.47/0.81 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.47/0.81 thf(zip_derived_cl105, plain,
% 0.47/0.81 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 0.47/0.81 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl79])).
% 0.47/0.81 thf(zip_derived_cl106, plain, ($false),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl105])).
% 0.47/0.81
% 0.47/0.81 % SZS output end Refutation
% 0.47/0.81
% 0.47/0.81
% 0.47/0.81 % Terminating...
% 1.17/0.99 % Runner terminated.
% 1.17/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------