%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP602-1 : 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.7NeTUWdde0 true
% Computer : n026.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 04:36:45 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.95s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP602-1 : TPTP v9.2.0. Released v2.6.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7NeTUWdde0 true
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 14:13:23 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.67 % Total configuration time : 435
% 0.56/0.67 % Estimated wc time : 1092
% 0.56/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.95 % Solved by fo/fo4.sh.
% 0.58/0.95 % done 39 iterations in 0.155s
% 0.58/0.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.95 % SZS output start Refutation
% 0.58/0.95 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/0.95 thf(a2_type, type, a2: $i).
% 0.58/0.95 thf(inverse_type, type, inverse: $i > $i).
% 0.58/0.95 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.58/0.95 thf(b2_type, type, b2: $i).
% 0.58/0.95 thf(prove_these_axioms_2, conjecture,
% 0.58/0.95 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 0.58/0.95 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.95 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 0.58/0.95 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 0.58/0.95 thf(zip_derived_cl2, plain,
% 0.58/0.95 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 0.58/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.95 thf(single_axiom, axiom,
% 0.58/0.95 (( inverse @
% 0.58/0.95 ( double_divide @
% 0.58/0.95 ( inverse @
% 0.58/0.95 ( double_divide @
% 0.58/0.95 A @
% 0.58/0.95 ( inverse @ ( double_divide @ B @ ( double_divide @ A @ C ) ) ) ) ) @
% 0.58/0.95 C ) ) =
% 0.58/0.95 ( B ))).
% 0.58/0.95 thf(zip_derived_cl0, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((inverse @
% 0.58/0.95 (double_divide @
% 0.58/0.95 (inverse @
% 0.58/0.95 (double_divide @ X1 @
% 0.58/0.95 (inverse @ (double_divide @ X0 @ (double_divide @ X1 @ X2))))) @
% 0.58/0.95 X2))
% 0.58/0.95 = (X0))),
% 0.58/0.95 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.95 thf(multiply, axiom,
% 0.58/0.95 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.58/0.95 thf(zip_derived_cl1, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/0.95 inference('cnf', [status(esa)], [multiply])).
% 0.58/0.95 thf(zip_derived_cl1, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/0.95 inference('cnf', [status(esa)], [multiply])).
% 0.58/0.95 thf(zip_derived_cl1, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/0.95 inference('cnf', [status(esa)], [multiply])).
% 0.58/0.95 thf(zip_derived_cl3, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ X2 @
% 0.58/0.95 (multiply @ (multiply @ (double_divide @ X1 @ X2) @ X0) @ X1))
% 0.58/0.95 = (X0))),
% 0.58/0.95 inference('demod', [status(thm)],
% 0.58/0.95 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 0.58/0.95 zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl3, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ X2 @
% 0.58/0.95 (multiply @ (multiply @ (double_divide @ X1 @ X2) @ X0) @ X1))
% 0.58/0.95 = (X0))),
% 0.58/0.95 inference('demod', [status(thm)],
% 0.58/0.95 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 0.58/0.95 zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl4, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 ((multiply @ X2 @ (multiply @ X0 @ X3))
% 0.58/0.95 = (multiply @
% 0.58/0.95 (multiply @ (double_divide @ X1 @ (double_divide @ X3 @ X2)) @ X0) @
% 0.58/0.95 X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl3, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ X2 @
% 0.58/0.95 (multiply @ (multiply @ (double_divide @ X1 @ X2) @ X0) @ X1))
% 0.58/0.95 = (X0))),
% 0.58/0.95 inference('demod', [status(thm)],
% 0.58/0.95 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 0.58/0.95 zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl6, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ (double_divide @ X0 @ X2) @
% 0.58/0.95 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl6, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ (double_divide @ X0 @ X2) @
% 0.58/0.95 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl6, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ (double_divide @ X0 @ X2) @
% 0.58/0.95 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl10, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @
% 0.58/0.95 (double_divide @ (multiply @ X0 @ X2) @ (double_divide @ X2 @ X1)) @
% 0.58/0.95 X0) = (X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 0.58/0.95 thf(zip_derived_cl6, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ (double_divide @ X0 @ X2) @
% 0.58/0.95 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl19, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 ((multiply @ (double_divide @ X2 @ X3) @ (multiply @ X3 @ X0))
% 0.58/0.95 = (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X1 @ X0)))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 0.58/0.95 thf(zip_derived_cl6, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ (double_divide @ X0 @ X2) @
% 0.58/0.95 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl46, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((double_divide @ (multiply @ X0 @ X2) @
% 0.58/0.95 (double_divide @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl6])).
% 0.58/0.95 thf(zip_derived_cl1, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/0.95 inference('cnf', [status(esa)], [multiply])).
% 0.58/0.95 thf(zip_derived_cl210, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ (double_divide @ X2 @ (multiply @ X0 @ X1)) @
% 0.58/0.95 (multiply @ X1 @ X2)) = (inverse @ X0))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl3, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ X2 @
% 0.58/0.95 (multiply @ (multiply @ (double_divide @ X1 @ X2) @ X0) @ X1))
% 0.58/0.95 = (X0))),
% 0.58/0.95 inference('demod', [status(thm)],
% 0.58/0.95 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 0.58/0.95 zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl256, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ (multiply @ X0 @ X2) @ (multiply @ (inverse @ X0) @ X1))
% 0.58/0.95 = (multiply @ X2 @ X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl299, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 ((multiply @ X0 @
% 0.58/0.95 (multiply @ (inverse @ (double_divide @ X2 @ X3)) @ X1))
% 0.58/0.95 = (multiply @ (multiply @ X3 @ (multiply @ X0 @ X2)) @ X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl256])).
% 0.58/0.95 thf(zip_derived_cl1, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/0.95 inference('cnf', [status(esa)], [multiply])).
% 0.58/0.95 thf(zip_derived_cl307, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 ((multiply @ X0 @ (multiply @ (multiply @ X3 @ X2) @ X1))
% 0.58/0.95 = (multiply @ (multiply @ X3 @ (multiply @ X0 @ X2)) @ X1))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl299, zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl256, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ (multiply @ X0 @ X2) @ (multiply @ (inverse @ X0) @ X1))
% 0.58/0.95 = (multiply @ X2 @ X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl368, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 ((multiply @ X3 @
% 0.58/0.95 (multiply @ (multiply @ X1 @ X2) @ (multiply @ (inverse @ X1) @ X0)))
% 0.58/0.95 = (multiply @ (multiply @ X3 @ X2) @ X0))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl307, zip_derived_cl256])).
% 0.58/0.95 thf(zip_derived_cl256, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ (multiply @ X0 @ X2) @ (multiply @ (inverse @ X0) @ X1))
% 0.58/0.95 = (multiply @ X2 @ X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl409, plain,
% 0.58/0.95 (![X0 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 ((multiply @ X3 @ (multiply @ X2 @ X0))
% 0.58/0.95 = (multiply @ (multiply @ X3 @ X2) @ X0))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl368, zip_derived_cl256])).
% 0.58/0.95 thf(zip_derived_cl410, plain,
% 0.58/0.95 (((multiply @ (inverse @ b2) @ (multiply @ b2 @ a2)) != (a2))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl409])).
% 0.58/0.95 thf(zip_derived_cl6, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ (double_divide @ X0 @ X2) @
% 0.58/0.95 (multiply @ X2 @ (multiply @ X1 @ X0))) = (X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.58/0.95 thf(zip_derived_cl210, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ (double_divide @ X2 @ (multiply @ X0 @ X1)) @
% 0.58/0.95 (multiply @ X1 @ X2)) = (inverse @ X0))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl3, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ X2 @
% 0.58/0.95 (multiply @ (multiply @ (double_divide @ X1 @ X2) @ X0) @ X1))
% 0.58/0.95 = (X0))),
% 0.58/0.95 inference('demod', [status(thm)],
% 0.58/0.95 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1,
% 0.58/0.95 zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl409, plain,
% 0.58/0.95 (![X0 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 ((multiply @ X3 @ (multiply @ X2 @ X0))
% 0.58/0.95 = (multiply @ (multiply @ X3 @ X2) @ X0))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl368, zip_derived_cl256])).
% 0.58/0.95 thf(zip_derived_cl411, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ X2 @
% 0.58/0.95 (multiply @ (double_divide @ X1 @ X2) @ (multiply @ X0 @ X1)))
% 0.58/0.95 = (X0))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl409])).
% 0.58/0.95 thf(zip_derived_cl477, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl411])).
% 0.58/0.95 thf(zip_derived_cl525, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ X0 @ (inverse @ (double_divide @ X1 @ X2)))
% 0.58/0.95 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl477])).
% 0.58/0.95 thf(zip_derived_cl1, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/0.95 inference('cnf', [status(esa)], [multiply])).
% 0.58/0.95 thf(zip_derived_cl536, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.58/0.95 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl525, zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl543, plain,
% 0.58/0.95 (((multiply @ b2 @ (multiply @ (inverse @ b2) @ a2)) != (a2))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl410, zip_derived_cl536])).
% 0.58/0.95 thf(zip_derived_cl536, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.58/0.95 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl525, zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl477, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl411])).
% 0.58/0.95 thf(zip_derived_cl409, plain,
% 0.58/0.95 (![X0 : $i, X2 : $i, X3 : $i]:
% 0.58/0.95 ((multiply @ X3 @ (multiply @ X2 @ X0))
% 0.58/0.95 = (multiply @ (multiply @ X3 @ X2) @ X0))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl368, zip_derived_cl256])).
% 0.58/0.95 thf(zip_derived_cl520, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X1))) = (X0))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl477, zip_derived_cl409])).
% 0.58/0.95 thf(zip_derived_cl867, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl536, zip_derived_cl520])).
% 0.58/0.95 thf(zip_derived_cl536, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.58/0.95 = (multiply @ X2 @ (multiply @ X0 @ X1)))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl525, zip_derived_cl1])).
% 0.58/0.95 thf(zip_derived_cl894, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.95 ((multiply @ X0 @ (multiply @ X2 @ (multiply @ X1 @ (inverse @ X1))))
% 0.58/0.95 = (multiply @ X2 @ X0))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl867, zip_derived_cl536])).
% 0.58/0.95 thf(zip_derived_cl867, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl536, zip_derived_cl520])).
% 0.58/0.95 thf(zip_derived_cl932, plain,
% 0.58/0.95 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 0.58/0.95 inference('demod', [status(thm)], [zip_derived_cl894, zip_derived_cl867])).
% 0.58/0.95 thf(zip_derived_cl520, plain,
% 0.58/0.95 (![X0 : $i, X1 : $i]:
% 0.58/0.95 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X1))) = (X0))),
% 0.58/0.95 inference('sup+', [status(thm)], [zip_derived_cl477, zip_derived_cl409])).
% 0.58/0.95 thf(zip_derived_cl941, plain, (((a2) != (a2))),
% 0.58/0.95 inference('demod', [status(thm)],
% 0.58/0.95 [zip_derived_cl543, zip_derived_cl932, zip_derived_cl520])).
% 0.58/0.95 thf(zip_derived_cl942, plain, ($false),
% 0.58/0.95 inference('simplify', [status(thm)], [zip_derived_cl941])).
% 0.58/0.95
% 0.58/0.95 % SZS output end Refutation
% 0.58/0.95
% 0.58/0.95
% 0.58/0.95 % Terminating...
% 0.62/1.06 % Runner terminated.
% 1.67/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------