%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP118-1 : TPTP v9.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ENAtqXN8Y5 true
% Computer : n027.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 04:35:39 PM UTC 2025
% Result : Unsatisfiable 0.53s 0.94s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GRP118-1 : TPTP v9.2.0. Released v1.2.0.
% 0.09/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ENAtqXN8Y5 true
% 0.11/0.35 % Computer : n027.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Wed Oct 1 14:23:38 EDT 2025
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % Running portfolio for 300 s
% 0.11/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Number of cores: 8
% 0.11/0.36 % Python version: Python 3.6.8
% 0.11/0.36 % Running in FO mode
% 0.51/0.64 % Total configuration time : 435
% 0.51/0.64 % Estimated wc time : 1092
% 0.51/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.82 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.82 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.83 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.83 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.84 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.85 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.85 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.94 % Solved by fo/fo7.sh.
% 0.53/0.94 % done 19 iterations in 0.049s
% 0.53/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.94 % SZS output start Refutation
% 0.53/0.94 thf(a_type, type, a: $i).
% 0.53/0.94 thf(identity_type, type, identity: $i).
% 0.53/0.94 thf(b_type, type, b: $i).
% 0.53/0.94 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.53/0.94 thf(c_type, type, c: $i).
% 0.53/0.94 thf(prove_order3, conjecture,
% 0.53/0.94 (( multiply @ ( multiply @ a @ b ) @ c ) =
% 0.53/0.94 ( multiply @ a @ ( multiply @ b @ c ) ))).
% 0.53/0.94 thf(zf_stmt_0, negated_conjecture,
% 0.53/0.94 (( multiply @ ( multiply @ a @ b ) @ c ) !=
% 0.53/0.94 ( multiply @ a @ ( multiply @ b @ c ) )),
% 0.53/0.94 inference('cnf.neg', [status(esa)], [prove_order3])).
% 0.53/0.94 thf(zip_derived_cl1, plain,
% 0.53/0.94 (((multiply @ (multiply @ a @ b) @ c)
% 0.53/0.94 != (multiply @ a @ (multiply @ b @ c)))),
% 0.53/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.94 thf(single_axiom, axiom,
% 0.53/0.94 (( multiply @
% 0.53/0.94 X @
% 0.53/0.94 ( multiply @
% 0.53/0.94 ( multiply @ X @ ( multiply @ ( multiply @ X @ Y ) @ Z ) ) @
% 0.53/0.94 ( multiply @ identity @ ( multiply @ Z @ Z ) ) ) ) =
% 0.53/0.94 ( Y ))).
% 0.53/0.94 thf(zip_derived_cl0, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X1 @
% 0.53/0.94 (multiply @
% 0.53/0.94 (multiply @ X1 @ (multiply @ (multiply @ X1 @ X0) @ X2)) @
% 0.53/0.94 (multiply @ identity @ (multiply @ X2 @ X2))))
% 0.53/0.94 = (X0))),
% 0.53/0.94 inference('cnf', [status(esa)], [single_axiom])).
% 0.53/0.94 thf(zip_derived_cl0, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X1 @
% 0.53/0.94 (multiply @
% 0.53/0.94 (multiply @ X1 @ (multiply @ (multiply @ X1 @ X0) @ X2)) @
% 0.53/0.94 (multiply @ identity @ (multiply @ X2 @ X2))))
% 0.53/0.94 = (X0))),
% 0.53/0.94 inference('cnf', [status(esa)], [single_axiom])).
% 0.53/0.94 thf(zip_derived_cl0, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X1 @
% 0.53/0.94 (multiply @
% 0.53/0.94 (multiply @ X1 @ (multiply @ (multiply @ X1 @ X0) @ X2)) @
% 0.53/0.94 (multiply @ identity @ (multiply @ X2 @ X2))))
% 0.53/0.94 = (X0))),
% 0.53/0.94 inference('cnf', [status(esa)], [single_axiom])).
% 0.53/0.94 thf(zip_derived_cl5, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @
% 0.53/0.94 (multiply @
% 0.53/0.94 (multiply @ X2 @
% 0.53/0.94 (multiply @ (multiply @ X2 @ X1) @
% 0.53/0.94 (multiply @ identity @
% 0.53/0.94 (multiply @ (multiply @ identity @ X0) @
% 0.53/0.94 (multiply @ identity @ X0))))) @
% 0.53/0.94 X0))
% 0.53/0.94 = (X1))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.53/0.94 thf(zip_derived_cl17, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.53/0.94 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.53/0.94 thf(zip_derived_cl17, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.53/0.94 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.53/0.94 thf(zip_derived_cl0, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X1 @
% 0.53/0.94 (multiply @
% 0.53/0.94 (multiply @ X1 @ (multiply @ (multiply @ X1 @ X0) @ X2)) @
% 0.53/0.94 (multiply @ identity @ (multiply @ X2 @ X2))))
% 0.53/0.94 = (X0))),
% 0.53/0.94 inference('cnf', [status(esa)], [single_axiom])).
% 0.53/0.94 thf(zip_derived_cl17, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.53/0.94 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.53/0.94 thf(zip_derived_cl32, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X1 @
% 0.53/0.94 (multiply @ X1 @
% 0.53/0.94 (multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 0.53/0.94 (multiply @ X2 @ X2))))
% 0.53/0.94 = (X0))),
% 0.53/0.94 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl17])).
% 0.53/0.94 thf(zip_derived_cl41, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @
% 0.53/0.94 (multiply @ X2 @
% 0.53/0.94 (multiply @
% 0.53/0.94 (multiply @ (multiply @ X2 @ X1) @ (multiply @ identity @ X0)) @
% 0.53/0.94 (multiply @ identity @ (multiply @ X0 @ X0)))))
% 0.53/0.94 = (X1))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl32])).
% 0.53/0.94 thf(zip_derived_cl17, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.53/0.94 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.53/0.94 thf(zip_derived_cl17, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.53/0.94 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.53/0.94 thf(zip_derived_cl47, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @
% 0.53/0.94 (multiply @ X2 @
% 0.53/0.94 (multiply @ X2 @
% 0.53/0.94 (multiply @ (multiply @ X1 @ X0) @ (multiply @ X0 @ X0)))))
% 0.53/0.94 = (X1))),
% 0.53/0.94 inference('demod', [status(thm)],
% 0.53/0.94 [zip_derived_cl41, zip_derived_cl17, zip_derived_cl17])).
% 0.53/0.94 thf(zip_derived_cl47, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @
% 0.53/0.94 (multiply @ X2 @
% 0.53/0.94 (multiply @ X2 @
% 0.53/0.94 (multiply @ (multiply @ X1 @ X0) @ (multiply @ X0 @ X0)))))
% 0.53/0.94 = (X1))),
% 0.53/0.94 inference('demod', [status(thm)],
% 0.53/0.94 [zip_derived_cl41, zip_derived_cl17, zip_derived_cl17])).
% 0.53/0.94 thf(zip_derived_cl57, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i]:
% 0.53/0.94 ((multiply @ (multiply @ X1 @ (multiply @ X0 @ X0)) @ X0) = (X1))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl47])).
% 0.53/0.94 thf(zip_derived_cl17, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.53/0.94 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.53/0.94 thf(zip_derived_cl87, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i]:
% 0.53/0.94 ((multiply @ X0 @
% 0.53/0.94 (multiply @
% 0.53/0.94 (multiply @ (multiply @ identity @ X1) @ (multiply @ identity @ X1)) @
% 0.53/0.94 X1))
% 0.53/0.94 = (X0))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl17])).
% 0.53/0.94 thf(zip_derived_cl17, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.53/0.94 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.53/0.94 thf(zip_derived_cl57, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i]:
% 0.53/0.94 ((multiply @ (multiply @ X1 @ (multiply @ X0 @ X0)) @ X0) = (X1))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl47])).
% 0.53/0.94 thf(zip_derived_cl91, plain,
% 0.53/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.94 inference('demod', [status(thm)],
% 0.53/0.94 [zip_derived_cl87, zip_derived_cl17, zip_derived_cl57])).
% 0.53/0.94 thf(zip_derived_cl17, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.53/0.94 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.53/0.94 thf(zip_derived_cl32, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X1 @
% 0.53/0.94 (multiply @ X1 @
% 0.53/0.94 (multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 0.53/0.94 (multiply @ X2 @ X2))))
% 0.53/0.94 = (X0))),
% 0.53/0.94 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl17])).
% 0.53/0.94 thf(zip_derived_cl40, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i]:
% 0.53/0.94 ((multiply @ X1 @
% 0.53/0.94 (multiply @ X1 @
% 0.53/0.94 (multiply @ (multiply @ X1 @ X0) @ (multiply @ identity @ identity))))
% 0.53/0.94 = (X0))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl32])).
% 0.53/0.94 thf(zip_derived_cl17, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.53/0.94 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.53/0.94 thf(zip_derived_cl46, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i]:
% 0.53/0.94 ((multiply @ X1 @
% 0.53/0.94 (multiply @ X1 @ (multiply @ X1 @ (multiply @ X0 @ identity))))
% 0.53/0.94 = (X0))),
% 0.53/0.94 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl17])).
% 0.53/0.94 thf(zip_derived_cl91, plain,
% 0.53/0.94 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.53/0.94 inference('demod', [status(thm)],
% 0.53/0.94 [zip_derived_cl87, zip_derived_cl17, zip_derived_cl57])).
% 0.53/0.94 thf(zip_derived_cl92, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i]:
% 0.53/0.94 ((multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))) = (X0))),
% 0.53/0.94 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl91])).
% 0.53/0.94 thf(zip_derived_cl125, plain,
% 0.53/0.94 (![X0 : $i]: ((multiply @ X0 @ (multiply @ X0 @ X0)) = (identity))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl92])).
% 0.53/0.94 thf(zip_derived_cl57, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i]:
% 0.53/0.94 ((multiply @ (multiply @ X1 @ (multiply @ X0 @ X0)) @ X0) = (X1))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl47])).
% 0.53/0.94 thf(zip_derived_cl134, plain,
% 0.53/0.94 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.53/0.94 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl57])).
% 0.53/0.94 thf(zip_derived_cl143, plain,
% 0.53/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.94 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.53/0.94 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 0.53/0.94 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl134])).
% 0.53/0.94 thf(zip_derived_cl173, plain,
% 0.53/0.94 (((multiply @ a @ (multiply @ b @ c))
% 0.53/0.94 != (multiply @ a @ (multiply @ b @ c)))),
% 0.53/0.94 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl143])).
% 0.53/0.94 thf(zip_derived_cl174, plain, ($false),
% 0.53/0.94 inference('simplify', [status(thm)], [zip_derived_cl173])).
% 0.53/0.94
% 0.53/0.94 % SZS output end Refutation
% 0.53/0.94
% 0.53/0.94
% 0.53/0.94 % Terminating...
% 0.55/1.13 % Runner terminated.
% 0.55/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------