%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP520-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Csdxo7n7RH true
% Computer : n018.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 0.56s 0.88s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP520-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Csdxo7n7RH true
% 0.14/0.35 % Computer : n018.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 14:09:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/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
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.88 % Solved by fo/fo7.sh.
% 0.56/0.88 % done 16 iterations in 0.068s
% 0.56/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.88 % SZS output start Refutation
% 0.56/0.88 thf(inverse_type, type, inverse: $i > $i).
% 0.56/0.88 thf(b_type, type, b: $i).
% 0.56/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/0.88 thf(a_type, type, a: $i).
% 0.56/0.88 thf(prove_these_axioms_4, conjecture,
% 0.56/0.88 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.56/0.88 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.88 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.56/0.88 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.56/0.88 thf(zip_derived_cl1, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.56/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.88 thf(single_axiom, axiom,
% 0.56/0.88 (( multiply @
% 0.56/0.88 A @
% 0.56/0.88 ( multiply @ ( multiply @ ( inverse @ ( multiply @ A @ B ) ) @ C ) @ B ) ) =
% 0.56/0.88 ( C ))).
% 0.56/0.88 thf(zip_derived_cl0, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.88 ((multiply @ X1 @
% 0.56/0.88 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.56/0.88 = (X0))),
% 0.56/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.56/0.88 thf(zip_derived_cl0, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.88 ((multiply @ X1 @
% 0.56/0.88 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.56/0.88 = (X0))),
% 0.56/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.56/0.88 thf(zip_derived_cl0, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.88 ((multiply @ X1 @
% 0.56/0.88 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.56/0.88 = (X0))),
% 0.56/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.56/0.88 thf(zip_derived_cl3, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.88 ((multiply @ X3 @ (multiply @ X0 @ X2))
% 0.56/0.88 = (multiply @
% 0.56/0.88 (multiply @
% 0.56/0.88 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 0.56/0.88 X0) @
% 0.56/0.88 X1))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.56/0.88 thf(zip_derived_cl0, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.88 ((multiply @ X1 @
% 0.56/0.88 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.56/0.88 = (X0))),
% 0.56/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.56/0.88 thf(zip_derived_cl8, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.88 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 0.56/0.88 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.56/0.88 thf(zip_derived_cl8, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.88 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 0.56/0.88 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.56/0.88 thf(zip_derived_cl19, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.88 ((multiply @
% 0.56/0.88 (inverse @
% 0.56/0.88 (multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X0 @ X2))) @
% 0.56/0.88 X0) = (X1))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl8])).
% 0.56/0.88 thf(zip_derived_cl42, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.88 ((multiply @ (inverse @ X0) @
% 0.56/0.88 (multiply @
% 0.56/0.88 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X2)) @ X0))
% 0.56/0.88 = (X1))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl19])).
% 0.56/0.88 thf(zip_derived_cl42, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.88 ((multiply @ (inverse @ X0) @
% 0.56/0.88 (multiply @
% 0.56/0.88 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X2)) @ X0))
% 0.56/0.88 = (X1))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl19])).
% 0.56/0.88 thf(zip_derived_cl8, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.88 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 0.56/0.88 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.56/0.88 thf(zip_derived_cl63, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i]:
% 0.56/0.88 ((X0) = (inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X1)))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl8])).
% 0.56/0.88 thf(zip_derived_cl73, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i]:
% 0.56/0.88 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl63])).
% 0.56/0.88 thf(zip_derived_cl73, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i]:
% 0.56/0.88 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl63])).
% 0.56/0.88 thf(zip_derived_cl91, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i]:
% 0.56/0.88 ((multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0) = (inverse @ X1))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl73])).
% 0.56/0.88 thf(zip_derived_cl19, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.88 ((multiply @
% 0.56/0.88 (inverse @
% 0.56/0.88 (multiply @ (inverse @ (multiply @ X1 @ X2)) @ (multiply @ X0 @ X2))) @
% 0.56/0.88 X0) = (X1))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl8])).
% 0.56/0.88 thf(zip_derived_cl141, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i]:
% 0.56/0.88 ((multiply @ (inverse @ (inverse @ X0)) @ X1) = (multiply @ X1 @ X0))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl19])).
% 0.56/0.88 thf(zip_derived_cl91, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i]:
% 0.56/0.88 ((multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0) = (inverse @ X1))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl73])).
% 0.56/0.88 thf(zip_derived_cl63, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i]:
% 0.56/0.88 ((X0) = (inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X1)))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl8])).
% 0.56/0.88 thf(zip_derived_cl140, plain,
% 0.56/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.88 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl63])).
% 0.56/0.88 thf(zip_derived_cl208, plain,
% 0.56/0.88 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl140])).
% 0.56/0.88 thf(zip_derived_cl209, plain, (((multiply @ a @ b) != (multiply @ a @ b))),
% 0.56/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl208])).
% 0.56/0.88 thf(zip_derived_cl210, plain, ($false),
% 0.56/0.88 inference('simplify', [status(thm)], [zip_derived_cl209])).
% 0.56/0.88
% 0.56/0.88 % SZS output end Refutation
% 0.56/0.88
% 0.56/0.88
% 0.56/0.88 % Terminating...
% 1.95/0.99 % Runner terminated.
% 1.95/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------