%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP509-1 : 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.xKzgDRAejB 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 04:36:34 PM UTC 2025
% Result : Unsatisfiable 0.59s 0.88s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP509-1 : TPTP v9.2.0. Released v2.6.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xKzgDRAejB true
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 14:25:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.88 % Solved by fo/fo6_bce.sh.
% 0.59/0.88 % BCE start: 2
% 0.59/0.88 % BCE eliminated: 0
% 0.59/0.88 % PE start: 2
% 0.59/0.88 logic: eq
% 0.59/0.88 % PE eliminated: 0
% 0.59/0.88 % done 25 iterations in 0.124s
% 0.59/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.88 % SZS output start Refutation
% 0.59/0.88 thf(b1_type, type, b1: $i).
% 0.59/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.59/0.88 thf(inverse_type, type, inverse: $i > $i).
% 0.59/0.88 thf(a1_type, type, a1: $i).
% 0.59/0.88 thf(single_axiom, axiom,
% 0.59/0.88 (( multiply @
% 0.59/0.88 ( multiply @ ( multiply @ A @ B ) @ C ) @
% 0.59/0.88 ( inverse @ ( multiply @ A @ C ) ) ) =
% 0.59/0.88 ( B ))).
% 0.59/0.88 thf(zip_derived_cl0, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 0.59/0.88 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 0.59/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.88 thf(zip_derived_cl0, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 0.59/0.88 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 0.59/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.88 thf(zip_derived_cl3, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.88 ((multiply @
% 0.59/0.88 (multiply @
% 0.59/0.88 (multiply @ (multiply @ (multiply @ X3 @ X0) @ X2) @ X1) @
% 0.59/0.88 (inverse @ (multiply @ X3 @ X2))) @
% 0.59/0.88 (inverse @ X0)) = (X1))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/0.88 thf(zip_derived_cl3, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.88 ((multiply @
% 0.59/0.88 (multiply @
% 0.59/0.88 (multiply @ (multiply @ (multiply @ X3 @ X0) @ X2) @ X1) @
% 0.59/0.88 (inverse @ (multiply @ X3 @ X2))) @
% 0.59/0.88 (inverse @ X0)) = (X1))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/0.88 thf(zip_derived_cl209, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.88 ((multiply @
% 0.59/0.88 (multiply @ X0 @
% 0.59/0.88 (inverse @
% 0.59/0.88 (multiply @ (multiply @ (multiply @ X3 @ X1) @ X2) @
% 0.59/0.88 (inverse @ (multiply @ X3 @ X2))))) @
% 0.59/0.88 (inverse @ X0)) = (inverse @ X1))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 0.59/0.88 thf(zip_derived_cl0, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 0.59/0.88 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 0.59/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.88 thf(zip_derived_cl226, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ (inverse @ X0))
% 0.59/0.88 = (inverse @ X1))),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl0])).
% 0.59/0.88 thf(zip_derived_cl0, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 0.59/0.88 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 0.59/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.88 thf(zip_derived_cl297, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((multiply @ (inverse @ X0) @
% 0.59/0.88 (inverse @ (multiply @ X1 @ (inverse @ X1)))) = (inverse @ X0))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl226, zip_derived_cl0])).
% 0.59/0.88 thf(zip_derived_cl226, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ (inverse @ X0))
% 0.59/0.88 = (inverse @ X1))),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl0])).
% 0.59/0.88 thf(zip_derived_cl389, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((multiply @ (inverse @ X0) @ (inverse @ (inverse @ X0)))
% 0.59/0.88 = (inverse @ (multiply @ X1 @ (inverse @ X1))))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl297, zip_derived_cl226])).
% 0.59/0.88 thf(zip_derived_cl226, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ (inverse @ X0))
% 0.59/0.88 = (inverse @ X1))),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl0])).
% 0.59/0.88 thf(zip_derived_cl226, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ (inverse @ X0))
% 0.59/0.88 = (inverse @ X1))),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl0])).
% 0.59/0.88 thf(zip_derived_cl296, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((multiply @ (inverse @ X0) @
% 0.59/0.88 (inverse @ (multiply @ X1 @ (inverse @ X0)))) = (inverse @ X1))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl226, zip_derived_cl226])).
% 0.59/0.88 thf(zip_derived_cl0, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 0.59/0.88 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 0.59/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.88 thf(zip_derived_cl0, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 0.59/0.88 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 0.59/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.88 thf(zip_derived_cl4, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 ((multiply @ X0 @
% 0.59/0.88 (inverse @
% 0.59/0.88 (multiply @ (multiply @ X2 @ X0) @ (inverse @ (multiply @ X2 @ X1)))))
% 0.59/0.88 = (X1))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/0.88 thf(zip_derived_cl334, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl4])).
% 0.59/0.88 thf(zip_derived_cl296, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((multiply @ (inverse @ X0) @
% 0.59/0.88 (inverse @ (multiply @ X1 @ (inverse @ X0)))) = (inverse @ X1))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl226, zip_derived_cl226])).
% 0.59/0.88 thf(zip_derived_cl334, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl4])).
% 0.59/0.88 thf(zip_derived_cl421, plain,
% 0.59/0.88 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ X0))) = (inverse @ X0))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl334])).
% 0.59/0.88 thf(zip_derived_cl453, plain,
% 0.59/0.88 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl334, zip_derived_cl421])).
% 0.59/0.88 thf(zip_derived_cl469, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((multiply @ (inverse @ X0) @ X0)
% 0.59/0.88 = (inverse @ (multiply @ X1 @ (inverse @ X1))))),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl389, zip_derived_cl453])).
% 0.59/0.88 thf(zip_derived_cl469, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((multiply @ (inverse @ X0) @ X0)
% 0.59/0.88 = (inverse @ (multiply @ X1 @ (inverse @ X1))))),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl389, zip_derived_cl453])).
% 0.59/0.88 thf(zip_derived_cl490, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl469, zip_derived_cl469])).
% 0.59/0.88 thf(prove_these_axioms_1, conjecture,
% 0.59/0.88 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 0.59/0.88 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 0.59/0.88 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.88 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.59/0.88 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 0.59/0.88 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.59/0.88 thf(zip_derived_cl1, plain,
% 0.59/0.88 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 0.59/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.88 thf(zip_derived_cl578, plain,
% 0.59/0.88 (![X0 : $i]:
% 0.59/0.88 ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ X0) @ X0))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl490, zip_derived_cl1])).
% 0.59/0.88 thf(zip_derived_cl490, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl469, zip_derived_cl469])).
% 0.59/0.88 thf(zip_derived_cl619, plain, ($false),
% 0.59/0.88 inference('simplify_reflect+', [status(thm)],
% 0.59/0.88 [zip_derived_cl578, zip_derived_cl490])).
% 0.59/0.88
% 0.59/0.88 % SZS output end Refutation
% 0.59/0.88
% 0.59/0.88
% 0.59/0.88 % Terminating...
% 0.64/0.98 % Runner terminated.
% 0.64/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------