%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP511-1 : 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.ANX6oVSOjp true
% Computer : n020.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 04:36:35 PM UTC 2025
% Result : Unsatisfiable 6.11s 1.48s
% Output : Refutation 6.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP511-1 : TPTP v9.2.0. Released v2.6.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ANX6oVSOjp true
% 0.14/0.35 % Computer : n020.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 14:10:08 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
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % 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
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.11/1.48 % Solved by fo/fo6_bce.sh.
% 6.11/1.48 % BCE start: 2
% 6.11/1.48 % BCE eliminated: 0
% 6.11/1.48 % PE start: 2
% 6.11/1.48 logic: eq
% 6.11/1.48 % PE eliminated: 0
% 6.11/1.48 % done 43 iterations in 0.746s
% 6.11/1.48 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.11/1.48 % SZS output start Refutation
% 6.11/1.48 thf(b3_type, type, b3: $i).
% 6.11/1.48 thf(c3_type, type, c3: $i).
% 6.11/1.48 thf(multiply_type, type, multiply: $i > $i > $i).
% 6.11/1.48 thf(inverse_type, type, inverse: $i > $i).
% 6.11/1.48 thf(a3_type, type, a3: $i).
% 6.11/1.48 thf(prove_these_axioms_3, conjecture,
% 6.11/1.48 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 6.11/1.48 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 6.11/1.48 thf(zf_stmt_0, negated_conjecture,
% 6.11/1.48 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 6.11/1.48 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 6.11/1.48 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 6.11/1.48 thf(zip_derived_cl1, plain,
% 6.11/1.48 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 6.11/1.48 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 6.11/1.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.11/1.48 thf(single_axiom, axiom,
% 6.11/1.48 (( multiply @
% 6.11/1.48 ( multiply @ ( multiply @ A @ B ) @ C ) @
% 6.11/1.48 ( inverse @ ( multiply @ A @ C ) ) ) =
% 6.11/1.48 ( B ))).
% 6.11/1.48 thf(zip_derived_cl0, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.11/1.48 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 6.11/1.48 inference('cnf', [status(esa)], [single_axiom])).
% 6.11/1.48 thf(zip_derived_cl0, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.11/1.48 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 6.11/1.48 inference('cnf', [status(esa)], [single_axiom])).
% 6.11/1.48 thf(zip_derived_cl3, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.48 ((multiply @
% 6.11/1.48 (multiply @
% 6.11/1.48 (multiply @ (multiply @ (multiply @ X3 @ X0) @ X2) @ X1) @
% 6.11/1.48 (inverse @ (multiply @ X3 @ X2))) @
% 6.11/1.48 (inverse @ X0)) = (X1))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.11/1.48 thf(zip_derived_cl3, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.48 ((multiply @
% 6.11/1.48 (multiply @
% 6.11/1.48 (multiply @ (multiply @ (multiply @ X3 @ X0) @ X2) @ X1) @
% 6.11/1.48 (inverse @ (multiply @ X3 @ X2))) @
% 6.11/1.48 (inverse @ X0)) = (X1))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.11/1.48 thf(zip_derived_cl254, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.48 ((multiply @
% 6.11/1.48 (multiply @ X0 @
% 6.11/1.48 (inverse @
% 6.11/1.48 (multiply @ (multiply @ (multiply @ X3 @ X1) @ X2) @
% 6.11/1.48 (inverse @ (multiply @ X3 @ X2))))) @
% 6.11/1.48 (inverse @ X0)) = (inverse @ X1))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 6.11/1.48 thf(zip_derived_cl0, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.11/1.48 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 6.11/1.48 inference('cnf', [status(esa)], [single_axiom])).
% 6.11/1.48 thf(zip_derived_cl273, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ X0 @ (inverse @ X1)) @ (inverse @ X0))
% 6.11/1.48 = (inverse @ X1))),
% 6.11/1.48 inference('demod', [status(thm)], [zip_derived_cl254, zip_derived_cl0])).
% 6.11/1.48 thf(zip_derived_cl0, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.11/1.48 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 6.11/1.48 inference('cnf', [status(esa)], [single_axiom])).
% 6.11/1.48 thf(zip_derived_cl0, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.11/1.48 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 6.11/1.48 inference('cnf', [status(esa)], [single_axiom])).
% 6.11/1.48 thf(zip_derived_cl4, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ X0 @
% 6.11/1.48 (inverse @
% 6.11/1.48 (multiply @ (multiply @ X2 @ X0) @ (inverse @ (multiply @ X2 @ X1)))))
% 6.11/1.48 = (X1))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.11/1.48 thf(zip_derived_cl4, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ X0 @
% 6.11/1.48 (inverse @
% 6.11/1.48 (multiply @ (multiply @ X2 @ X0) @ (inverse @ (multiply @ X2 @ X1)))))
% 6.11/1.48 = (X1))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.11/1.48 thf(zip_derived_cl0, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.11/1.48 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 6.11/1.48 inference('cnf', [status(esa)], [single_axiom])).
% 6.11/1.48 thf(zip_derived_cl8, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ X0 @ X3) @ (inverse @ (multiply @ X2 @ X3)))
% 6.11/1.48 = (inverse @
% 6.11/1.48 (multiply @ (multiply @ X1 @ X2) @
% 6.11/1.48 (inverse @ (multiply @ X1 @ X0)))))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 6.11/1.48 thf(zip_derived_cl4, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ X0 @
% 6.11/1.48 (inverse @
% 6.11/1.48 (multiply @ (multiply @ X2 @ X0) @ (inverse @ (multiply @ X2 @ X1)))))
% 6.11/1.48 = (X1))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.11/1.48 thf(zip_derived_cl44, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ X1 @
% 6.11/1.48 (multiply @ (multiply @ X2 @ X0) @ (inverse @ (multiply @ X1 @ X0))))
% 6.11/1.48 = (X2))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 6.11/1.48 thf(zip_derived_cl102, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @
% 6.11/1.48 (multiply @ X2 @ (multiply @ X1 @ (inverse @ (multiply @ X2 @ X0)))) @
% 6.11/1.48 X0) = (X1))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl44])).
% 6.11/1.48 thf(zip_derived_cl349, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ X2 @ (inverse @ X0)) @ X1)
% 6.11/1.48 = (multiply @ (multiply @ X2 @ X1) @ (inverse @ X0)))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl273, zip_derived_cl102])).
% 6.11/1.48 thf(zip_derived_cl3, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.48 ((multiply @
% 6.11/1.48 (multiply @
% 6.11/1.48 (multiply @ (multiply @ (multiply @ X3 @ X0) @ X2) @ X1) @
% 6.11/1.48 (inverse @ (multiply @ X3 @ X2))) @
% 6.11/1.48 (inverse @ X0)) = (X1))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.11/1.48 thf(zip_derived_cl403, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.48 ((multiply @
% 6.11/1.48 (multiply @
% 6.11/1.48 (multiply @ (multiply @ (multiply @ X2 @ X3) @ X1) @
% 6.11/1.48 (inverse @ (multiply @ X2 @ X1))) @
% 6.11/1.48 X0) @
% 6.11/1.48 (inverse @ X3)) = (X0))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl349, zip_derived_cl3])).
% 6.11/1.48 thf(zip_derived_cl0, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.11/1.48 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 6.11/1.48 inference('cnf', [status(esa)], [single_axiom])).
% 6.11/1.48 thf(zip_derived_cl463, plain,
% 6.11/1.48 (![X0 : $i, X3 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ X3 @ X0) @ (inverse @ X3)) = (X0))),
% 6.11/1.48 inference('demod', [status(thm)], [zip_derived_cl403, zip_derived_cl0])).
% 6.11/1.48 thf(zip_derived_cl102, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @
% 6.11/1.48 (multiply @ X2 @ (multiply @ X1 @ (inverse @ (multiply @ X2 @ X0)))) @
% 6.11/1.48 X0) = (X1))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl44])).
% 6.11/1.48 thf(zip_derived_cl487, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ X2 @ X0) @ X1)
% 6.11/1.48 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl463, zip_derived_cl102])).
% 6.11/1.48 thf(zip_derived_cl463, plain,
% 6.11/1.48 (![X0 : $i, X3 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ X3 @ X0) @ (inverse @ X3)) = (X0))),
% 6.11/1.48 inference('demod', [status(thm)], [zip_derived_cl403, zip_derived_cl0])).
% 6.11/1.48 thf(zip_derived_cl545, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl463])).
% 6.11/1.48 thf(zip_derived_cl487, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ X2 @ X0) @ X1)
% 6.11/1.48 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl463, zip_derived_cl102])).
% 6.11/1.48 thf(zip_derived_cl615, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X2)) @ X1) @ X0)
% 6.11/1.48 = (multiply @ X0 @ X1))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl545, zip_derived_cl487])).
% 6.11/1.48 thf(zip_derived_cl545, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 6.11/1.48 inference('s_sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl463])).
% 6.11/1.48 thf(zip_derived_cl662, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 6.11/1.48 inference('demod', [status(thm)], [zip_derived_cl615, zip_derived_cl545])).
% 6.11/1.48 thf(zip_derived_cl674, plain,
% 6.11/1.48 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 6.11/1.48 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 6.11/1.48 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl662])).
% 6.11/1.48 thf(zip_derived_cl662, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 6.11/1.48 inference('demod', [status(thm)], [zip_derived_cl615, zip_derived_cl545])).
% 6.11/1.48 thf(zip_derived_cl487, plain,
% 6.11/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.48 ((multiply @ (multiply @ X2 @ X0) @ X1)
% 6.11/1.49 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 6.11/1.49 inference('s_sup+', [status(thm)], [zip_derived_cl463, zip_derived_cl102])).
% 6.11/1.49 thf(zip_derived_cl699, plain,
% 6.11/1.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.49 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 6.11/1.49 = (multiply @ (multiply @ X1 @ X2) @ X0))),
% 6.11/1.49 inference('s_sup+', [status(thm)], [zip_derived_cl662, zip_derived_cl487])).
% 6.11/1.49 thf(zip_derived_cl662, plain,
% 6.11/1.49 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 6.11/1.49 inference('demod', [status(thm)], [zip_derived_cl615, zip_derived_cl545])).
% 6.11/1.49 thf(zip_derived_cl1028, plain,
% 6.11/1.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.49 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 6.11/1.49 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 6.11/1.49 inference('s_sup+', [status(thm)], [zip_derived_cl699, zip_derived_cl662])).
% 6.11/1.49 thf(zip_derived_cl1161, plain,
% 6.11/1.49 (((multiply @ b3 @ (multiply @ a3 @ c3))
% 6.11/1.49 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 6.11/1.49 inference('demod', [status(thm)], [zip_derived_cl674, zip_derived_cl1028])).
% 6.11/1.49 thf(zip_derived_cl662, plain,
% 6.11/1.49 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 6.11/1.49 inference('demod', [status(thm)], [zip_derived_cl615, zip_derived_cl545])).
% 6.11/1.49 thf(zip_derived_cl1028, plain,
% 6.11/1.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.49 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 6.11/1.49 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 6.11/1.49 inference('s_sup+', [status(thm)], [zip_derived_cl699, zip_derived_cl662])).
% 6.11/1.49 thf(zip_derived_cl1206, plain,
% 6.11/1.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.49 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 6.11/1.49 = (multiply @ X1 @ (multiply @ X0 @ X2)))),
% 6.11/1.49 inference('s_sup+', [status(thm)],
% 6.11/1.49 [zip_derived_cl662, zip_derived_cl1028])).
% 6.11/1.49 thf(zip_derived_cl662, plain,
% 6.11/1.49 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 6.11/1.49 inference('demod', [status(thm)], [zip_derived_cl615, zip_derived_cl545])).
% 6.11/1.49 thf(zip_derived_cl1701, plain,
% 6.11/1.49 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 6.11/1.49 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 6.11/1.49 inference('demod', [status(thm)],
% 6.11/1.49 [zip_derived_cl1161, zip_derived_cl1206, zip_derived_cl662])).
% 6.11/1.49 thf(zip_derived_cl1702, plain, ($false),
% 6.11/1.49 inference('simplify', [status(thm)], [zip_derived_cl1701])).
% 6.11/1.49
% 6.11/1.49 % SZS output end Refutation
% 6.11/1.49
% 6.11/1.49
% 6.11/1.49 % Terminating...
% 6.74/1.56 % Runner terminated.
% 6.74/1.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------