%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP086-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ME6yS6k3Ei true
% Computer : n003.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 04:35:36 PM UTC 2025
% Result : Unsatisfiable 1.22s 1.06s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP086-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ME6yS6k3Ei true
% 0.09/0.30 % Computer : n003.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 14:26:23 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.09/0.31 % Running in FO mode
% 0.15/0.55 % Total configuration time : 435
% 0.15/0.55 % Estimated wc time : 1092
% 0.15/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.94/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.94/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.94/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.94/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.94/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.94/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.94/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.22/1.06 % Solved by fo/fo4.sh.
% 1.22/1.06 % done 59 iterations in 0.360s
% 1.22/1.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.22/1.06 % SZS output start Refutation
% 1.22/1.06 thf(b1_type, type, b1: $i).
% 1.22/1.06 thf(b3_type, type, b3: $i).
% 1.22/1.06 thf(b2_type, type, b2: $i).
% 1.22/1.06 thf(b4_type, type, b4: $i).
% 1.22/1.06 thf(a4_type, type, a4: $i).
% 1.22/1.06 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.22/1.06 thf(a3_type, type, a3: $i).
% 1.22/1.06 thf(c3_type, type, c3: $i).
% 1.22/1.06 thf(a2_type, type, a2: $i).
% 1.22/1.06 thf(inverse_type, type, inverse: $i > $i).
% 1.22/1.06 thf(a1_type, type, a1: $i).
% 1.22/1.06 thf(single_axiom, axiom,
% 1.22/1.06 (( multiply @
% 1.22/1.06 X @
% 1.22/1.06 ( multiply @ ( multiply @ Y @ Z ) @ ( inverse @ ( multiply @ X @ Z ) ) ) ) =
% 1.22/1.06 ( Y ))).
% 1.22/1.06 thf(zip_derived_cl0, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ X1 @
% 1.22/1.06 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 1.22/1.06 = (X0))),
% 1.22/1.06 inference('cnf', [status(esa)], [single_axiom])).
% 1.22/1.06 thf(zip_derived_cl0, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ X1 @
% 1.22/1.06 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 1.22/1.06 = (X0))),
% 1.22/1.06 inference('cnf', [status(esa)], [single_axiom])).
% 1.22/1.06 thf(zip_derived_cl0, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ X1 @
% 1.22/1.06 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 1.22/1.06 = (X0))),
% 1.22/1.06 inference('cnf', [status(esa)], [single_axiom])).
% 1.22/1.06 thf(zip_derived_cl2, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.06 ((multiply @ X3 @
% 1.22/1.06 (multiply @ X0 @
% 1.22/1.06 (inverse @
% 1.22/1.06 (multiply @ X3 @
% 1.22/1.06 (multiply @ (multiply @ X0 @ X2) @
% 1.22/1.06 (inverse @ (multiply @ X1 @ X2)))))))
% 1.22/1.06 = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.22/1.06 thf(zip_derived_cl10, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.22/1.06 thf(zip_derived_cl2, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.06 ((multiply @ X3 @
% 1.22/1.06 (multiply @ X0 @
% 1.22/1.06 (inverse @
% 1.22/1.06 (multiply @ X3 @
% 1.22/1.06 (multiply @ (multiply @ X0 @ X2) @
% 1.22/1.06 (inverse @ (multiply @ X1 @ X2)))))))
% 1.22/1.06 = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.22/1.06 thf(zip_derived_cl19, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 1.22/1.06 thf(zip_derived_cl19, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 1.22/1.06 thf(zip_derived_cl2, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.06 ((multiply @ X3 @
% 1.22/1.06 (multiply @ X0 @
% 1.22/1.06 (inverse @
% 1.22/1.06 (multiply @ X3 @
% 1.22/1.06 (multiply @ (multiply @ X0 @ X2) @
% 1.22/1.06 (inverse @ (multiply @ X1 @ X2)))))))
% 1.22/1.06 = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.22/1.06 thf(zip_derived_cl28, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ (multiply @ X2 @ X0) @
% 1.22/1.06 (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X2))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl2])).
% 1.22/1.06 thf(zip_derived_cl2, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/1.06 ((multiply @ X3 @
% 1.22/1.06 (multiply @ X0 @
% 1.22/1.06 (inverse @
% 1.22/1.06 (multiply @ X3 @
% 1.22/1.06 (multiply @ (multiply @ X0 @ X2) @
% 1.22/1.06 (inverse @ (multiply @ X1 @ X2)))))))
% 1.22/1.06 = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.22/1.06 thf(zip_derived_cl35, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ (inverse @ X0)))
% 1.22/1.06 = (multiply @ X2 @ X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl2])).
% 1.22/1.06 thf(zip_derived_cl59, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ X0 @ (multiply @ X2 @ (inverse @ X1)))
% 1.22/1.06 = (multiply @ X2 @ (multiply @ X0 @ (inverse @ X1))))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl35])).
% 1.22/1.06 thf(zip_derived_cl35, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ (inverse @ X0)))
% 1.22/1.06 = (multiply @ X2 @ X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl2])).
% 1.22/1.06 thf(zip_derived_cl76, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ X2 @ (multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)))
% 1.22/1.06 = (multiply @ X2 @ X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl35])).
% 1.22/1.06 thf(zip_derived_cl35, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ (inverse @ X0)))
% 1.22/1.06 = (multiply @ X2 @ X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl2])).
% 1.22/1.06 thf(zip_derived_cl144, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 1.22/1.06 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl35])).
% 1.22/1.06 thf(zip_derived_cl19, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 1.22/1.06 thf(zip_derived_cl183, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ X1 @ (multiply @ (multiply @ X2 @ (inverse @ X1)) @ X0))
% 1.22/1.06 = (multiply @ X2 @ X0))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl19])).
% 1.22/1.06 thf(zip_derived_cl0, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ X1 @
% 1.22/1.06 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 1.22/1.06 = (X0))),
% 1.22/1.06 inference('cnf', [status(esa)], [single_axiom])).
% 1.22/1.06 thf(zip_derived_cl248, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl0])).
% 1.22/1.06 thf(zip_derived_cl19, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 1.22/1.06 thf(zip_derived_cl288, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl19])).
% 1.22/1.06 thf(zip_derived_cl10, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.22/1.06 thf(zip_derived_cl573, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl10])).
% 1.22/1.06 thf(prove_these_axioms, conjecture,
% 1.22/1.06 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 1.22/1.06 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.22/1.06 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.22/1.06 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 1.22/1.06 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.22/1.06 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 1.22/1.06 thf(zf_stmt_0, negated_conjecture,
% 1.22/1.06 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 1.22/1.06 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.22/1.06 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.22/1.06 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 1.22/1.06 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 1.22/1.06 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 1.22/1.06 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 1.22/1.06 thf(zip_derived_cl1, plain,
% 1.22/1.06 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.22/1.06 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.22/1.06 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.22/1.06 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 1.22/1.06 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 1.22/1.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.22/1.06 thf(zip_derived_cl248, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl0])).
% 1.22/1.06 thf(zip_derived_cl59, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ X0 @ (multiply @ X2 @ (inverse @ X1)))
% 1.22/1.06 = (multiply @ X2 @ (multiply @ X0 @ (inverse @ X1))))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl35])).
% 1.22/1.06 thf(zip_derived_cl289, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ X0 @
% 1.22/1.06 (multiply @ X2 @ (inverse @ (multiply @ X1 @ (inverse @ X1)))))
% 1.22/1.06 = (multiply @ X2 @ X0))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl59])).
% 1.22/1.06 thf(zip_derived_cl248, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl0])).
% 1.22/1.06 thf(zip_derived_cl309, plain,
% 1.22/1.06 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 1.22/1.06 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl248])).
% 1.22/1.06 thf(zip_derived_cl309, plain,
% 1.22/1.06 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 1.22/1.06 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl248])).
% 1.22/1.06 thf(zip_derived_cl144, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 1.22/1.06 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl35])).
% 1.22/1.06 thf(zip_derived_cl309, plain,
% 1.22/1.06 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 1.22/1.06 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl248])).
% 1.22/1.06 thf(zip_derived_cl309, plain,
% 1.22/1.06 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 1.22/1.06 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl248])).
% 1.22/1.06 thf(zip_derived_cl309, plain,
% 1.22/1.06 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 1.22/1.06 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl248])).
% 1.22/1.06 thf(zip_derived_cl59, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/1.06 ((multiply @ X0 @ (multiply @ X2 @ (inverse @ X1)))
% 1.22/1.06 = (multiply @ X2 @ (multiply @ X0 @ (inverse @ X1))))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl35])).
% 1.22/1.06 thf(zip_derived_cl309, plain,
% 1.22/1.06 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 1.22/1.06 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl248])).
% 1.22/1.06 thf(zip_derived_cl309, plain,
% 1.22/1.06 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 1.22/1.06 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl248])).
% 1.22/1.06 thf(zip_derived_cl309, plain,
% 1.22/1.06 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 1.22/1.06 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl248])).
% 1.22/1.06 thf(zip_derived_cl314, plain,
% 1.22/1.06 ((((multiply @ b4 @ a4) != (multiply @ b4 @ a4))
% 1.22/1.06 | ((multiply @ a3 @ (multiply @ b3 @ c3))
% 1.22/1.06 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.22/1.06 | ((multiply @ b2 @ (multiply @ (inverse @ b2) @ a2)) != (a2))
% 1.22/1.06 | ((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1))))),
% 1.22/1.06 inference('demod', [status(thm)],
% 1.22/1.06 [zip_derived_cl1, zip_derived_cl309, zip_derived_cl309,
% 1.22/1.06 zip_derived_cl144, zip_derived_cl309, zip_derived_cl309,
% 1.22/1.06 zip_derived_cl309, zip_derived_cl59, zip_derived_cl309,
% 1.22/1.06 zip_derived_cl309, zip_derived_cl309])).
% 1.22/1.06 thf(zip_derived_cl315, plain,
% 1.22/1.06 ((((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1)))
% 1.22/1.06 | ((multiply @ b2 @ (multiply @ (inverse @ b2) @ a2)) != (a2)))),
% 1.22/1.06 inference('simplify', [status(thm)], [zip_derived_cl314])).
% 1.22/1.06 thf(zip_derived_cl309, plain,
% 1.22/1.06 (![X0 : $i, X2 : $i]: ((multiply @ X0 @ X2) = (multiply @ X2 @ X0))),
% 1.22/1.06 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl248])).
% 1.22/1.06 thf(zip_derived_cl19, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 1.22/1.06 thf(zip_derived_cl330, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl309, zip_derived_cl19])).
% 1.22/1.06 thf(zip_derived_cl696, plain,
% 1.22/1.06 ((((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1)))
% 1.22/1.06 | ((a2) != (a2)))),
% 1.22/1.06 inference('demod', [status(thm)], [zip_derived_cl315, zip_derived_cl330])).
% 1.22/1.06 thf(zip_derived_cl697, plain,
% 1.22/1.06 (((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1)))),
% 1.22/1.06 inference('simplify', [status(thm)], [zip_derived_cl696])).
% 1.22/1.06 thf(zip_derived_cl841, plain,
% 1.22/1.06 (![X0 : $i]:
% 1.22/1.06 ((multiply @ X0 @ (inverse @ X0)) != (multiply @ b1 @ (inverse @ b1)))),
% 1.22/1.06 inference('sup-', [status(thm)], [zip_derived_cl573, zip_derived_cl697])).
% 1.22/1.06 thf(zip_derived_cl573, plain,
% 1.22/1.06 (![X0 : $i, X1 : $i]:
% 1.22/1.06 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 1.22/1.06 inference('sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl10])).
% 1.22/1.06 thf(zip_derived_cl902, plain, ($false),
% 1.22/1.06 inference('simplify_reflect+', [status(thm)],
% 1.22/1.06 [zip_derived_cl841, zip_derived_cl573])).
% 1.22/1.06
% 1.22/1.06 % SZS output end Refutation
% 1.22/1.06
% 1.22/1.06
% 1.22/1.06 % Terminating...
% 3.98/1.22 % Runner terminated.
% 3.99/1.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------