%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP115-1 : TPTP v9.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SRSx9G41ud true
% Computer : n019.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 0.63s 0.86s
% Output : Refutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP115-1 : TPTP v9.2.0. Released v1.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SRSx9G41ud true
% 0.14/0.35 % Computer : n019.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 14:20:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.20/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.58/0.69 % Total configuration time : 435
% 0.58/0.69 % Estimated wc time : 1092
% 0.58/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.63/0.86 % Solved by fo/fo1_av.sh.
% 0.63/0.86 % done 14 iterations in 0.031s
% 0.63/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.86 % SZS output start Refutation
% 0.63/0.86 thf(a_type, type, a: $i).
% 0.63/0.86 thf(identity_type, type, identity: $i).
% 0.63/0.86 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.63/0.86 thf(prove_order3, conjecture,
% 0.63/0.86 (( multiply @ a @ ( multiply @ a @ a ) ) = ( identity ))).
% 0.63/0.86 thf(zf_stmt_0, negated_conjecture,
% 0.63/0.86 (( multiply @ a @ ( multiply @ a @ a ) ) != ( identity )),
% 0.63/0.86 inference('cnf.neg', [status(esa)], [prove_order3])).
% 0.63/0.86 thf(zip_derived_cl1, plain,
% 0.63/0.86 (((multiply @ a @ (multiply @ a @ a)) != (identity))),
% 0.63/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.63/0.86 thf(single_axiom, axiom,
% 0.63/0.86 (( multiply @
% 0.63/0.86 X @
% 0.63/0.86 ( multiply @
% 0.63/0.86 ( multiply @ X @ ( multiply @ ( multiply @ X @ Y ) @ Z ) ) @
% 0.63/0.86 ( multiply @ identity @ ( multiply @ Z @ Z ) ) ) ) =
% 0.63/0.86 ( Y ))).
% 0.63/0.86 thf(zip_derived_cl0, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X1 @
% 0.63/0.86 (multiply @
% 0.63/0.86 (multiply @ X1 @ (multiply @ (multiply @ X1 @ X0) @ X2)) @
% 0.63/0.86 (multiply @ identity @ (multiply @ X2 @ X2))))
% 0.63/0.86 = (X0))),
% 0.63/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 0.63/0.86 thf(zip_derived_cl0, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X1 @
% 0.63/0.86 (multiply @
% 0.63/0.86 (multiply @ X1 @ (multiply @ (multiply @ X1 @ X0) @ X2)) @
% 0.63/0.86 (multiply @ identity @ (multiply @ X2 @ X2))))
% 0.63/0.86 = (X0))),
% 0.63/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 0.63/0.86 thf(zip_derived_cl0, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X1 @
% 0.63/0.86 (multiply @
% 0.63/0.86 (multiply @ X1 @ (multiply @ (multiply @ X1 @ X0) @ X2)) @
% 0.63/0.86 (multiply @ identity @ (multiply @ X2 @ X2))))
% 0.63/0.86 = (X0))),
% 0.63/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 0.63/0.86 thf(zip_derived_cl5, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X2 @
% 0.63/0.86 (multiply @
% 0.63/0.86 (multiply @ X2 @
% 0.63/0.86 (multiply @ (multiply @ X2 @ X1) @
% 0.63/0.86 (multiply @ identity @
% 0.63/0.86 (multiply @ (multiply @ identity @ X0) @
% 0.63/0.86 (multiply @ identity @ X0))))) @
% 0.63/0.86 X0))
% 0.63/0.86 = (X1))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.63/0.86 thf(zip_derived_cl17, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.63/0.86 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.63/0.86 thf(zip_derived_cl17, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.63/0.86 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.63/0.86 thf(zip_derived_cl17, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.63/0.86 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.63/0.86 thf(zip_derived_cl29, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.63/0.86 ((multiply @ (multiply @ X2 @ X1) @
% 0.63/0.86 (multiply @ (multiply @ identity @ X0) @ X3))
% 0.63/0.86 = (multiply @ (multiply @ X2 @ (multiply @ X1 @ X0)) @
% 0.63/0.86 (multiply @ identity @ X3)))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl17])).
% 0.63/0.86 thf(zip_derived_cl17, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.63/0.86 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.63/0.86 thf(zip_derived_cl30, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.63/0.86 ((multiply @ (multiply @ X2 @ X1) @
% 0.63/0.86 (multiply @ (multiply @ identity @ X0) @ X3))
% 0.63/0.86 = (multiply @ X2 @ (multiply @ (multiply @ X1 @ X0) @ X3)))),
% 0.63/0.86 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl17])).
% 0.63/0.86 thf(zip_derived_cl17, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.63/0.86 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.63/0.86 thf(zip_derived_cl17, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.63/0.86 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.63/0.86 thf(zip_derived_cl0, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X1 @
% 0.63/0.86 (multiply @
% 0.63/0.86 (multiply @ X1 @ (multiply @ (multiply @ X1 @ X0) @ X2)) @
% 0.63/0.86 (multiply @ identity @ (multiply @ X2 @ X2))))
% 0.63/0.86 = (X0))),
% 0.63/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 0.63/0.86 thf(zip_derived_cl17, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.63/0.86 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.63/0.86 thf(zip_derived_cl26, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X1 @
% 0.63/0.86 (multiply @ X1 @
% 0.63/0.86 (multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 0.63/0.86 (multiply @ X2 @ X2))))
% 0.63/0.86 = (X0))),
% 0.63/0.86 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl17])).
% 0.63/0.86 thf(zip_derived_cl54, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i]:
% 0.63/0.86 ((multiply @ X1 @
% 0.63/0.86 (multiply @ X1 @
% 0.63/0.86 (multiply @ (multiply @ X1 @ X0) @ (multiply @ identity @ identity))))
% 0.63/0.86 = (X0))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl26])).
% 0.63/0.86 thf(zip_derived_cl17, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/0.86 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 0.63/0.86 = (multiply @ (multiply @ X2 @ X0) @ (multiply @ identity @ X1)))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.63/0.86 thf(zip_derived_cl64, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i]:
% 0.63/0.86 ((multiply @ X1 @
% 0.63/0.86 (multiply @ X1 @ (multiply @ X1 @ (multiply @ X0 @ identity))))
% 0.63/0.86 = (X0))),
% 0.63/0.86 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl17])).
% 0.63/0.86 thf(zip_derived_cl30, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.63/0.86 ((multiply @ (multiply @ X2 @ X1) @
% 0.63/0.86 (multiply @ (multiply @ identity @ X0) @ X3))
% 0.63/0.86 = (multiply @ X2 @ (multiply @ (multiply @ X1 @ X0) @ X3)))),
% 0.63/0.86 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl17])).
% 0.63/0.86 thf(zip_derived_cl76, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i]:
% 0.63/0.86 ((X0)
% 0.63/0.86 = (multiply @ identity @
% 0.63/0.86 (multiply @ (multiply @ X1 @ X1) @
% 0.63/0.86 (multiply @ (multiply @ identity @ X1) @
% 0.63/0.86 (multiply @ X0 @ identity)))))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl30])).
% 0.63/0.86 thf(zip_derived_cl30, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.63/0.86 ((multiply @ (multiply @ X2 @ X1) @
% 0.63/0.86 (multiply @ (multiply @ identity @ X0) @ X3))
% 0.63/0.86 = (multiply @ X2 @ (multiply @ (multiply @ X1 @ X0) @ X3)))),
% 0.63/0.86 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl17])).
% 0.63/0.86 thf(zip_derived_cl83, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i]:
% 0.63/0.86 ((X0)
% 0.63/0.86 = (multiply @ identity @
% 0.63/0.86 (multiply @ X1 @
% 0.63/0.86 (multiply @ (multiply @ X1 @ X1) @ (multiply @ X0 @ identity)))))),
% 0.63/0.86 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl30])).
% 0.63/0.86 thf(zip_derived_cl89, plain,
% 0.63/0.86 (![X0 : $i]:
% 0.63/0.86 ((identity)
% 0.63/0.86 = (multiply @ identity @
% 0.63/0.86 (multiply @ X0 @ (multiply @ X0 @ (multiply @ X0 @ identity)))))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl83])).
% 0.63/0.86 thf(zip_derived_cl99, plain,
% 0.63/0.86 (![X0 : $i]:
% 0.63/0.86 ((identity)
% 0.63/0.86 = (multiply @ identity @
% 0.63/0.86 (multiply @ identity @
% 0.63/0.86 (multiply @ (multiply @ X0 @ X0) @
% 0.63/0.86 (multiply @ (multiply @ identity @ X0) @ identity)))))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl89])).
% 0.63/0.86 thf(zip_derived_cl30, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.63/0.86 ((multiply @ (multiply @ X2 @ X1) @
% 0.63/0.86 (multiply @ (multiply @ identity @ X0) @ X3))
% 0.63/0.86 = (multiply @ X2 @ (multiply @ (multiply @ X1 @ X0) @ X3)))),
% 0.63/0.86 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl17])).
% 0.63/0.86 thf(zip_derived_cl101, plain,
% 0.63/0.86 (![X0 : $i]:
% 0.63/0.86 ((identity)
% 0.63/0.86 = (multiply @ identity @
% 0.63/0.86 (multiply @ identity @
% 0.63/0.86 (multiply @ X0 @ (multiply @ (multiply @ X0 @ X0) @ identity)))))),
% 0.63/0.86 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl30])).
% 0.63/0.86 thf(zip_derived_cl111, plain,
% 0.63/0.86 (![X0 : $i]:
% 0.63/0.86 ((identity)
% 0.63/0.86 = (multiply @ identity @
% 0.63/0.86 (multiply @ identity @
% 0.63/0.86 (multiply @ (multiply @ identity @ X0) @
% 0.63/0.86 (multiply @ (multiply @ identity @ (multiply @ X0 @ X0)) @
% 0.63/0.86 identity)))))),
% 0.63/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl101])).
% 0.63/0.86 thf(zip_derived_cl30, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.63/0.86 ((multiply @ (multiply @ X2 @ X1) @
% 0.63/0.86 (multiply @ (multiply @ identity @ X0) @ X3))
% 0.63/0.86 = (multiply @ X2 @ (multiply @ (multiply @ X1 @ X0) @ X3)))),
% 0.63/0.86 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl17])).
% 0.63/0.86 thf(zip_derived_cl64, plain,
% 0.63/0.86 (![X0 : $i, X1 : $i]:
% 0.63/0.86 ((multiply @ X1 @
% 0.63/0.86 (multiply @ X1 @ (multiply @ X1 @ (multiply @ X0 @ identity))))
% 0.63/0.86 = (X0))),
% 0.63/0.86 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl17])).
% 0.63/0.86 thf(zip_derived_cl113, plain,
% 0.63/0.86 (![X0 : $i]: ((identity) = (multiply @ X0 @ (multiply @ X0 @ X0)))),
% 0.63/0.86 inference('demod', [status(thm)],
% 0.63/0.86 [zip_derived_cl111, zip_derived_cl30, zip_derived_cl64])).
% 0.63/0.86 thf(zip_derived_cl130, plain, (((identity) != (identity))),
% 0.63/0.86 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl113])).
% 0.63/0.86 thf(zip_derived_cl131, plain, ($false),
% 0.63/0.86 inference('simplify', [status(thm)], [zip_derived_cl130])).
% 0.63/0.86
% 0.63/0.86 % SZS output end Refutation
% 0.63/0.86
% 0.63/0.86
% 0.63/0.86 % Terminating...
% 0.66/0.90 % Runner terminated.
% 0.66/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------