%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP435-1 : 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.AUD0s0Yn7G true
% Computer : n012.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 04:36:26 PM UTC 2025
% Result : Unsatisfiable 6.81s 2.08s
% Output : Refutation 6.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP435-1 : TPTP v9.2.0. Released v2.6.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AUD0s0Yn7G true
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 14:25:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.18/0.35 % Running in FO mode
% 0.46/0.62 % Total configuration time : 435
% 0.46/0.62 % Estimated wc time : 1092
% 0.46/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 6.81/2.08 % Solved by fo/fo7.sh.
% 6.81/2.08 % done 755 iterations in 1.229s
% 6.81/2.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.81/2.08 % SZS output start Refutation
% 6.81/2.08 thf(a3_type, type, a3: $i).
% 6.81/2.08 thf(b3_type, type, b3: $i).
% 6.81/2.08 thf(inverse_type, type, inverse: $i > $i).
% 6.81/2.08 thf(multiply_type, type, multiply: $i > $i > $i).
% 6.81/2.08 thf(c3_type, type, c3: $i).
% 6.81/2.08 thf(prove_these_axioms_3, conjecture,
% 6.81/2.08 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 6.81/2.08 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 6.81/2.08 thf(zf_stmt_0, negated_conjecture,
% 6.81/2.08 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 6.81/2.08 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 6.81/2.08 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 6.81/2.08 thf(zip_derived_cl1, plain,
% 6.81/2.08 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 6.81/2.08 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 6.81/2.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.81/2.08 thf(single_axiom, axiom,
% 6.81/2.08 (( inverse @
% 6.81/2.08 ( multiply @
% 6.81/2.08 ( multiply @
% 6.81/2.08 ( multiply @
% 6.81/2.08 ( inverse @ ( multiply @ ( multiply @ A @ B ) @ C ) ) @ A ) @
% 6.81/2.08 B ) @
% 6.81/2.08 ( multiply @ D @ ( inverse @ D ) ) ) ) =
% 6.81/2.08 ( C ))).
% 6.81/2.08 thf(zip_derived_cl0, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 6.81/2.08 X1) @
% 6.81/2.08 X2) @
% 6.81/2.08 (multiply @ X3 @ (inverse @ X3))))
% 6.81/2.08 = (X0))),
% 6.81/2.08 inference('cnf', [status(esa)], [single_axiom])).
% 6.81/2.08 thf(zip_derived_cl0, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 6.81/2.08 X1) @
% 6.81/2.08 X2) @
% 6.81/2.08 (multiply @ X3 @ (inverse @ X3))))
% 6.81/2.08 = (X0))),
% 6.81/2.08 inference('cnf', [status(esa)], [single_axiom])).
% 6.81/2.08 thf(zip_derived_cl3, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ X0 @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.81/2.08 X4)) @
% 6.81/2.08 X3) @
% 6.81/2.08 (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.81/2.08 thf(zip_derived_cl3, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ X0 @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.81/2.08 X4)) @
% 6.81/2.08 X3) @
% 6.81/2.08 (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.81/2.08 thf(zip_derived_cl18, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 6.81/2.08 thf(zip_derived_cl3, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ X0 @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.81/2.08 X4)) @
% 6.81/2.08 X3) @
% 6.81/2.08 (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.81/2.08 thf(zip_derived_cl0, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 6.81/2.08 X1) @
% 6.81/2.08 X2) @
% 6.81/2.08 (multiply @ X3 @ (inverse @ X3))))
% 6.81/2.08 = (X0))),
% 6.81/2.08 inference('cnf', [status(esa)], [single_axiom])).
% 6.81/2.08 thf(zip_derived_cl11, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ X3 @
% 6.81/2.08 (multiply @
% 6.81/2.08 (inverse @ (multiply @ (multiply @ X2 @ X1) @ X3)) @ X2)) @
% 6.81/2.08 X1) @
% 6.81/2.08 (multiply @ X0 @ (inverse @ X0))))) @
% 6.81/2.08 X5) @
% 6.81/2.08 X4) @
% 6.81/2.08 (multiply @ X6 @ (inverse @ X6))))
% 6.81/2.08 = (inverse @ (multiply @ X5 @ X4)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 6.81/2.08 thf(zip_derived_cl3, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ X0 @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.81/2.08 X4)) @
% 6.81/2.08 X3) @
% 6.81/2.08 (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.81/2.08 thf(zip_derived_cl37, plain,
% 6.81/2.08 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X5) @
% 6.81/2.08 X4) @
% 6.81/2.08 (multiply @ X6 @ (inverse @ X6))))
% 6.81/2.08 = (inverse @ (multiply @ X5 @ X4)))),
% 6.81/2.08 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 6.81/2.08 thf(zip_derived_cl3, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ X0 @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.81/2.08 X4)) @
% 6.81/2.08 X3) @
% 6.81/2.08 (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.81/2.08 thf(zip_derived_cl74, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (inverse @
% 6.81/2.08 (multiply @ (multiply @ X1 @ X0) @
% 6.81/2.08 (inverse @ (multiply @ X2 @ (inverse @ X2))))) @
% 6.81/2.08 X1) @
% 6.81/2.08 X0))
% 6.81/2.08 = (multiply @ X3 @ (inverse @ X3)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl3])).
% 6.81/2.08 thf(zip_derived_cl367, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ X0))) @ X2) @
% 6.81/2.08 (inverse @ X2)))
% 6.81/2.08 = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl74])).
% 6.81/2.08 thf(zip_derived_cl0, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 6.81/2.08 X1) @
% 6.81/2.08 X2) @
% 6.81/2.08 (multiply @ X3 @ (inverse @ X3))))
% 6.81/2.08 = (X0))),
% 6.81/2.08 inference('cnf', [status(esa)], [single_axiom])).
% 6.81/2.08 thf(zip_derived_cl458, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 6.81/2.08 (inverse @ (multiply @ X3 @ (inverse @ X3)))) @
% 6.81/2.08 X1) @
% 6.81/2.08 (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (inverse @ X1))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 6.81/2.08 thf(zip_derived_cl18, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 6.81/2.08 thf(zip_derived_cl458, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 6.81/2.08 (inverse @ (multiply @ X3 @ (inverse @ X3)))) @
% 6.81/2.08 X1) @
% 6.81/2.08 (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (inverse @ X1))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 6.81/2.08 thf(zip_derived_cl918, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 6.81/2.08 (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (inverse @ X1))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 6.81/2.08 thf(zip_derived_cl3, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ X0 @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.81/2.08 X4)) @
% 6.81/2.08 X3) @
% 6.81/2.08 (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.81/2.08 thf(zip_derived_cl0, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 6.81/2.08 X1) @
% 6.81/2.08 X2) @
% 6.81/2.08 (multiply @ X3 @ (inverse @ X3))))
% 6.81/2.08 = (X0))),
% 6.81/2.08 inference('cnf', [status(esa)], [single_axiom])).
% 6.81/2.08 thf(zip_derived_cl6, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ X3 @
% 6.81/2.08 (multiply @
% 6.81/2.08 (inverse @ (multiply @ (multiply @ X2 @ X1) @ X3)) @ X2)) @
% 6.81/2.08 X1) @
% 6.81/2.08 (multiply @ X0 @ (inverse @ X0)))) @
% 6.81/2.08 X4)) @
% 6.81/2.08 X6) @
% 6.81/2.08 (inverse @ X6)) @
% 6.81/2.08 (multiply @ X5 @ (inverse @ X5))))
% 6.81/2.08 = (X4))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 6.81/2.08 thf(zip_derived_cl3, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ X0 @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 6.81/2.08 X4)) @
% 6.81/2.08 X3) @
% 6.81/2.08 (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.81/2.08 thf(zip_derived_cl33, plain,
% 6.81/2.08 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X4)) @
% 6.81/2.08 X6) @
% 6.81/2.08 (inverse @ X6)) @
% 6.81/2.08 (multiply @ X5 @ (inverse @ X5))))
% 6.81/2.08 = (X4))),
% 6.81/2.08 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 6.81/2.08 thf(zip_derived_cl1021, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 6.81/2.08 = (X0))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 6.81/2.08 thf(zip_derived_cl1213, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 6.81/2.08 (inverse @ (multiply @ X0 @ (inverse @ X0)))))))))
% 6.81/2.08 = (multiply @ X2 @ (inverse @ X2)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl458, zip_derived_cl1021])).
% 6.81/2.08 thf(zip_derived_cl1021, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 6.81/2.08 = (X0))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 6.81/2.08 thf(zip_derived_cl1244, plain,
% 6.81/2.08 (![X0 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 6.81/2.08 = (multiply @ X2 @ (inverse @ X2)))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl1213, zip_derived_cl1021])).
% 6.81/2.08 thf(zip_derived_cl1021, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 6.81/2.08 = (X0))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 6.81/2.08 thf(zip_derived_cl1287, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) @ X1)))))
% 6.81/2.08 = (X1))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl1244, zip_derived_cl1021])).
% 6.81/2.08 thf(zip_derived_cl918, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 6.81/2.08 (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (inverse @ X1))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 6.81/2.08 thf(zip_derived_cl37, plain,
% 6.81/2.08 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X5) @
% 6.81/2.08 X4) @
% 6.81/2.08 (multiply @ X6 @ (inverse @ X6))))
% 6.81/2.08 = (inverse @ (multiply @ X5 @ X4)))),
% 6.81/2.08 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 6.81/2.08 thf(zip_derived_cl1022, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @ X0)
% 6.81/2.08 = (inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))) @ X0)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl37])).
% 6.81/2.08 thf(zip_derived_cl1404, plain,
% 6.81/2.08 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl1287, zip_derived_cl1022])).
% 6.81/2.08 thf(zip_derived_cl1021, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 6.81/2.08 = (X0))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 6.81/2.08 thf(zip_derived_cl1449, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 6.81/2.08 thf(zip_derived_cl918, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 6.81/2.08 (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (inverse @ X1))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 6.81/2.08 thf(zip_derived_cl1449, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 6.81/2.08 thf(zip_derived_cl1483, plain,
% 6.81/2.08 (![X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @ (multiply @ X1 @ (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (inverse @ X1))),
% 6.81/2.08 inference('demod', [status(thm)], [zip_derived_cl918, zip_derived_cl1449])).
% 6.81/2.08 thf(zip_derived_cl1404, plain,
% 6.81/2.08 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl1287, zip_derived_cl1022])).
% 6.81/2.08 thf(zip_derived_cl1590, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @ (inverse @ (inverse @ (inverse @ X0))))
% 6.81/2.08 = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl1483, zip_derived_cl1404])).
% 6.81/2.08 thf(zip_derived_cl1404, plain,
% 6.81/2.08 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl1287, zip_derived_cl1022])).
% 6.81/2.08 thf(zip_derived_cl1617, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((X0) = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl1590, zip_derived_cl1404])).
% 6.81/2.08 thf(zip_derived_cl1632, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 6.81/2.08 thf(zip_derived_cl0, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 6.81/2.08 X1) @
% 6.81/2.08 X2) @
% 6.81/2.08 (multiply @ X3 @ (inverse @ X3))))
% 6.81/2.08 = (X0))),
% 6.81/2.08 inference('cnf', [status(esa)], [single_axiom])).
% 6.81/2.08 thf(zip_derived_cl1617, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((X0) = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl1590, zip_derived_cl1404])).
% 6.81/2.08 thf(zip_derived_cl1619, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @ X1) @
% 6.81/2.08 X2))
% 6.81/2.08 = (X0))),
% 6.81/2.08 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1617])).
% 6.81/2.08 thf(zip_derived_cl2507, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ X0 @ (inverse @ (multiply @ X2 @ (inverse @ X2)))) @
% 6.81/2.08 X1)) @
% 6.81/2.08 X0))
% 6.81/2.08 = (X1))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl1632, zip_derived_cl1619])).
% 6.81/2.08 thf(zip_derived_cl1632, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 6.81/2.08 thf(zip_derived_cl2558, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0)) = (X1))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl2507, zip_derived_cl1632])).
% 6.81/2.08 thf(zip_derived_cl1632, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 6.81/2.08 thf(zip_derived_cl2558, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0)) = (X1))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl2507, zip_derived_cl1632])).
% 6.81/2.08 thf(zip_derived_cl2628, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X0)))
% 6.81/2.08 = (X0))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl1632, zip_derived_cl2558])).
% 6.81/2.08 thf(zip_derived_cl18, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 6.81/2.08 thf(zip_derived_cl367, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ X0))) @ X2) @
% 6.81/2.08 (inverse @ X2)))
% 6.81/2.08 = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl74])).
% 6.81/2.08 thf(zip_derived_cl476, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 6.81/2.08 (inverse @ (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))))))
% 6.81/2.08 = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl367])).
% 6.81/2.08 thf(zip_derived_cl1244, plain,
% 6.81/2.08 (![X0 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 6.81/2.08 = (multiply @ X2 @ (inverse @ X2)))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl1213, zip_derived_cl1021])).
% 6.81/2.08 thf(zip_derived_cl1364, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 6.81/2.08 (inverse @
% 6.81/2.08 (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))))) @
% 6.81/2.08 (multiply @ X0 @ (inverse @ X0)))))
% 6.81/2.08 = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl476, zip_derived_cl1244])).
% 6.81/2.08 thf(zip_derived_cl1244, plain,
% 6.81/2.08 (![X0 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 6.81/2.08 = (multiply @ X2 @ (inverse @ X2)))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl1213, zip_derived_cl1021])).
% 6.81/2.08 thf(zip_derived_cl918, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 6.81/2.08 (multiply @ X2 @ (inverse @ X2))))
% 6.81/2.08 = (inverse @ X1))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 6.81/2.08 thf(zip_derived_cl1244, plain,
% 6.81/2.08 (![X0 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 6.81/2.08 = (multiply @ X2 @ (inverse @ X2)))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl1213, zip_derived_cl1021])).
% 6.81/2.08 thf(zip_derived_cl1398, plain,
% 6.81/2.08 (![X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @ (multiply @ X2 @ (inverse @ X2)))
% 6.81/2.08 = (multiply @ X1 @ (inverse @ X1)))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl1364, zip_derived_cl1244, zip_derived_cl918,
% 6.81/2.08 zip_derived_cl1244])).
% 6.81/2.08 thf(zip_derived_cl1449, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 6.81/2.08 thf(zip_derived_cl2662, plain,
% 6.81/2.08 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 6.81/2.08 thf(zip_derived_cl2717, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl2558, zip_derived_cl2662])).
% 6.81/2.08 thf(zip_derived_cl2717, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl2558, zip_derived_cl2662])).
% 6.81/2.08 thf(zip_derived_cl2794, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @ X1)
% 6.81/2.08 = (multiply @ (inverse @ (inverse @ X0)) @
% 6.81/2.08 (inverse @ (multiply @ X1 @ X0))))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl2717, zip_derived_cl2717])).
% 6.81/2.08 thf(zip_derived_cl2662, plain,
% 6.81/2.08 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 6.81/2.08 thf(zip_derived_cl2804, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i]:
% 6.81/2.08 ((inverse @ X1) = (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl2794, zip_derived_cl2662])).
% 6.81/2.08 thf(zip_derived_cl1619, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @
% 6.81/2.08 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @ X1) @
% 6.81/2.08 X2))
% 6.81/2.08 = (X0))),
% 6.81/2.08 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1617])).
% 6.81/2.08 thf(zip_derived_cl2898, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @
% 6.81/2.08 (multiply @ (multiply @ (inverse @ (inverse @ X0)) @ X2) @ X1))
% 6.81/2.08 = (inverse @ (multiply @ X0 @ (multiply @ X2 @ X1))))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl2804, zip_derived_cl1619])).
% 6.81/2.08 thf(zip_derived_cl2662, plain,
% 6.81/2.08 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 6.81/2.08 thf(zip_derived_cl2933, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @ (multiply @ (multiply @ X0 @ X2) @ X1))
% 6.81/2.08 = (inverse @ (multiply @ X0 @ (multiply @ X2 @ X1))))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl2898, zip_derived_cl2662])).
% 6.81/2.08 thf(zip_derived_cl2662, plain,
% 6.81/2.08 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 6.81/2.08 thf(zip_derived_cl3770, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((inverse @ (inverse @ (multiply @ X2 @ (multiply @ X1 @ X0))))
% 6.81/2.08 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 6.81/2.08 inference('sup+', [status(thm)], [zip_derived_cl2933, zip_derived_cl2662])).
% 6.81/2.08 thf(zip_derived_cl2662, plain,
% 6.81/2.08 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 6.81/2.08 thf(zip_derived_cl3882, plain,
% 6.81/2.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.81/2.08 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 6.81/2.08 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 6.81/2.08 inference('demod', [status(thm)],
% 6.81/2.08 [zip_derived_cl3770, zip_derived_cl2662])).
% 6.81/2.08 thf(zip_derived_cl3890, plain,
% 6.81/2.08 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 6.81/2.08 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 6.81/2.08 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3882])).
% 6.81/2.08 thf(zip_derived_cl3891, plain, ($false),
% 6.81/2.08 inference('simplify', [status(thm)], [zip_derived_cl3890])).
% 6.81/2.08
% 6.81/2.08 % SZS output end Refutation
% 6.81/2.08
% 6.81/2.08
% 6.81/2.08 % Terminating...
% 7.00/2.22 % Runner terminated.
% 7.00/2.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------