%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP085-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UbWjEAhQdz true
% Computer : n023.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 04:35:35 PM UTC 2025
% Result : Unsatisfiable 6.54s 1.52s
% Output : Refutation 6.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP085-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UbWjEAhQdz true
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 14:15:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.54/1.52 % Solved by fo/fo7.sh.
% 6.54/1.52 % done 585 iterations in 0.748s
% 6.54/1.52 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.54/1.52 % SZS output start Refutation
% 6.54/1.52 thf(b1_type, type, b1: $i).
% 6.54/1.52 thf(b3_type, type, b3: $i).
% 6.54/1.52 thf(b2_type, type, b2: $i).
% 6.54/1.52 thf(b4_type, type, b4: $i).
% 6.54/1.52 thf(a4_type, type, a4: $i).
% 6.54/1.52 thf(multiply_type, type, multiply: $i > $i > $i).
% 6.54/1.52 thf(a3_type, type, a3: $i).
% 6.54/1.52 thf(c3_type, type, c3: $i).
% 6.54/1.52 thf(a2_type, type, a2: $i).
% 6.54/1.52 thf(inverse_type, type, inverse: $i > $i).
% 6.54/1.52 thf(a1_type, type, a1: $i).
% 6.54/1.52 thf(single_axiom, axiom,
% 6.54/1.52 (( multiply @
% 6.54/1.52 ( multiply @ ( multiply @ X @ Y ) @ Z ) @
% 6.54/1.52 ( inverse @ ( multiply @ X @ Z ) ) ) =
% 6.54/1.52 ( Y ))).
% 6.54/1.52 thf(zip_derived_cl0, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.54/1.52 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 6.54/1.52 inference('cnf', [status(esa)], [single_axiom])).
% 6.54/1.52 thf(zip_derived_cl0, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.54/1.52 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 6.54/1.52 inference('cnf', [status(esa)], [single_axiom])).
% 6.54/1.52 thf(zip_derived_cl4, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ X0 @
% 6.54/1.52 (inverse @
% 6.54/1.52 (multiply @ (multiply @ X2 @ X0) @ (inverse @ (multiply @ X2 @ X1)))))
% 6.54/1.52 = (X1))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.54/1.52 thf(zip_derived_cl0, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.54/1.52 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 6.54/1.52 inference('cnf', [status(esa)], [single_axiom])).
% 6.54/1.52 thf(zip_derived_cl0, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.54/1.52 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 6.54/1.52 inference('cnf', [status(esa)], [single_axiom])).
% 6.54/1.52 thf(zip_derived_cl0, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.54/1.52 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 6.54/1.52 inference('cnf', [status(esa)], [single_axiom])).
% 6.54/1.52 thf(zip_derived_cl2, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ X0 @ X3) @
% 6.54/1.52 (inverse @ (multiply @ (multiply @ (multiply @ X2 @ X0) @ X1) @ X3)))
% 6.54/1.52 = (inverse @ (multiply @ X2 @ X1)))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.54/1.52 thf(zip_derived_cl29, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ X0 @ (inverse @ (multiply @ X2 @ X1))) @
% 6.54/1.52 (inverse @ X0)) = (inverse @ (multiply @ X2 @ X1)))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 6.54/1.52 thf(zip_derived_cl54, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ X3 @ (inverse @ X0)) @ (inverse @ X3))
% 6.54/1.52 = (inverse @
% 6.54/1.52 (multiply @ X2 @
% 6.54/1.52 (inverse @
% 6.54/1.52 (multiply @ (multiply @ X1 @ X2) @
% 6.54/1.52 (inverse @ (multiply @ X1 @ X0)))))))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl29])).
% 6.54/1.52 thf(zip_derived_cl4, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ X0 @
% 6.54/1.52 (inverse @
% 6.54/1.52 (multiply @ (multiply @ X2 @ X0) @ (inverse @ (multiply @ X2 @ X1)))))
% 6.54/1.52 = (X1))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.54/1.52 thf(zip_derived_cl58, plain,
% 6.54/1.52 (![X0 : $i, X3 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ X3 @ (inverse @ X0)) @ (inverse @ X3))
% 6.54/1.52 = (inverse @ X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl4])).
% 6.54/1.52 thf(zip_derived_cl58, plain,
% 6.54/1.52 (![X0 : $i, X3 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ X3 @ (inverse @ X0)) @ (inverse @ X3))
% 6.54/1.52 = (inverse @ X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl4])).
% 6.54/1.52 thf(zip_derived_cl69, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X0) @
% 6.54/1.52 (inverse @ (multiply @ X1 @ (inverse @ X0)))) = (inverse @ X1))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl58])).
% 6.54/1.52 thf(zip_derived_cl4, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ X0 @
% 6.54/1.52 (inverse @
% 6.54/1.52 (multiply @ (multiply @ X2 @ X0) @ (inverse @ (multiply @ X2 @ X1)))))
% 6.54/1.52 = (X1))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.54/1.52 thf(zip_derived_cl83, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl4])).
% 6.54/1.52 thf(zip_derived_cl69, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X0) @
% 6.54/1.52 (inverse @ (multiply @ X1 @ (inverse @ X0)))) = (inverse @ X1))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl58])).
% 6.54/1.52 thf(zip_derived_cl83, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl4])).
% 6.54/1.52 thf(zip_derived_cl100, plain,
% 6.54/1.52 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ X0))) = (inverse @ X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl117, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((inverse @ (inverse @ X0))
% 6.54/1.52 = (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl100])).
% 6.54/1.52 thf(zip_derived_cl83, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl4])).
% 6.54/1.52 thf(zip_derived_cl119, plain,
% 6.54/1.52 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl83, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl4])).
% 6.54/1.52 thf(zip_derived_cl58, plain,
% 6.54/1.52 (![X0 : $i, X3 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ X3 @ (inverse @ X0)) @ (inverse @ X3))
% 6.54/1.52 = (inverse @ X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl4])).
% 6.54/1.52 thf(zip_derived_cl91, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ X2 @ X0) @ (inverse @ X2))
% 6.54/1.52 = (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl58])).
% 6.54/1.52 thf(zip_derived_cl83, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl4])).
% 6.54/1.52 thf(zip_derived_cl107, plain,
% 6.54/1.52 (![X0 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ X2 @ X0) @ (inverse @ X2)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl148, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ (inverse @ X0) @ X1) @ X0) = (X1))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl107])).
% 6.54/1.52 thf(zip_derived_cl0, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.54/1.52 (inverse @ (multiply @ X1 @ X2))) = (X0))),
% 6.54/1.52 inference('cnf', [status(esa)], [single_axiom])).
% 6.54/1.52 thf(zip_derived_cl107, plain,
% 6.54/1.52 (![X0 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ X2 @ X0) @ (inverse @ X2)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl69, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X0) @
% 6.54/1.52 (inverse @ (multiply @ X1 @ (inverse @ X0)))) = (inverse @ X1))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl58])).
% 6.54/1.52 thf(zip_derived_cl143, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 6.54/1.52 = (inverse @ (multiply @ X1 @ X0)))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl69])).
% 6.54/1.52 thf(zip_derived_cl171, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.54/1.52 (multiply @ (inverse @ X1) @ (inverse @ X2))) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl143])).
% 6.54/1.52 thf(zip_derived_cl2908, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ X0 @
% 6.54/1.52 (multiply @ (inverse @ (inverse @ X1)) @ (inverse @ X1))) = (
% 6.54/1.52 X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl171])).
% 6.54/1.52 thf(zip_derived_cl119, plain,
% 6.54/1.52 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl2948, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl2908, zip_derived_cl119])).
% 6.54/1.52 thf(zip_derived_cl83, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((inverse @ (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl4])).
% 6.54/1.52 thf(zip_derived_cl143, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 6.54/1.52 = (inverse @ (multiply @ X1 @ X0)))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl69])).
% 6.54/1.52 thf(zip_derived_cl143, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 6.54/1.52 = (inverse @ (multiply @ X1 @ X0)))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl69])).
% 6.54/1.52 thf(zip_derived_cl143, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 6.54/1.52 = (inverse @ (multiply @ X1 @ X0)))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl69])).
% 6.54/1.52 thf(zip_derived_cl119, plain,
% 6.54/1.52 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl119, plain,
% 6.54/1.52 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl175, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)],
% 6.54/1.52 [zip_derived_cl83, zip_derived_cl143, zip_derived_cl143,
% 6.54/1.52 zip_derived_cl143, zip_derived_cl119, zip_derived_cl119])).
% 6.54/1.52 thf(zip_derived_cl3010, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X0) @ X0) = (multiply @ X1 @ (inverse @ X1)))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl2948, zip_derived_cl175])).
% 6.54/1.52 thf(prove_these_axioms, conjecture,
% 6.54/1.52 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 6.54/1.52 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 6.54/1.52 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 6.54/1.52 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 6.54/1.52 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 6.54/1.52 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 6.54/1.52 thf(zf_stmt_0, negated_conjecture,
% 6.54/1.52 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 6.54/1.52 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 6.54/1.52 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 6.54/1.52 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 6.54/1.52 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 6.54/1.52 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 6.54/1.52 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 6.54/1.52 thf(zip_derived_cl1, plain,
% 6.54/1.52 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 6.54/1.52 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 6.54/1.52 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 6.54/1.52 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 6.54/1.52 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 6.54/1.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.54/1.52 thf(zip_derived_cl175, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)],
% 6.54/1.52 [zip_derived_cl83, zip_derived_cl143, zip_derived_cl143,
% 6.54/1.52 zip_derived_cl143, zip_derived_cl119, zip_derived_cl119])).
% 6.54/1.52 thf(zip_derived_cl148, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ (inverse @ X0) @ X1) @ X0) = (X1))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl107])).
% 6.54/1.52 thf(zip_derived_cl212, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl148])).
% 6.54/1.52 thf(zip_derived_cl212, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl148])).
% 6.54/1.52 thf(zip_derived_cl212, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl148])).
% 6.54/1.52 thf(zip_derived_cl212, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl148])).
% 6.54/1.52 thf(zip_derived_cl228, plain,
% 6.54/1.52 ((((multiply @ a4 @ b4) != (multiply @ a4 @ b4))
% 6.54/1.52 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 6.54/1.52 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 6.54/1.52 | ((multiply @ (multiply @ b2 @ (inverse @ b2)) @ a2) != (a2))
% 6.54/1.52 | ((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1))))),
% 6.54/1.52 inference('demod', [status(thm)],
% 6.54/1.52 [zip_derived_cl1, zip_derived_cl212, zip_derived_cl212,
% 6.54/1.52 zip_derived_cl212, zip_derived_cl212])).
% 6.54/1.52 thf(zip_derived_cl229, plain,
% 6.54/1.52 ((((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1)))
% 6.54/1.52 | ((multiply @ (multiply @ b2 @ (inverse @ b2)) @ a2) != (a2))
% 6.54/1.52 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 6.54/1.52 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 6.54/1.52 inference('simplify', [status(thm)], [zip_derived_cl228])).
% 6.54/1.52 thf(zip_derived_cl2948, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl2908, zip_derived_cl119])).
% 6.54/1.52 thf(zip_derived_cl212, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl148])).
% 6.54/1.52 thf(zip_derived_cl3011, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl2948, zip_derived_cl212])).
% 6.54/1.52 thf(zip_derived_cl3131, plain,
% 6.54/1.52 ((((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1)))
% 6.54/1.52 | ((a2) != (a2))
% 6.54/1.52 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 6.54/1.52 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl3011])).
% 6.54/1.52 thf(zip_derived_cl3132, plain,
% 6.54/1.52 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 6.54/1.52 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 6.54/1.52 | ((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1))))),
% 6.54/1.52 inference('simplify', [status(thm)], [zip_derived_cl3131])).
% 6.54/1.52 thf(zip_derived_cl3315, plain,
% 6.54/1.52 (![X0 : $i]:
% 6.54/1.52 (((multiply @ a1 @ (inverse @ a1)) != (multiply @ (inverse @ X0) @ X0))
% 6.54/1.52 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 6.54/1.52 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 6.54/1.52 inference('sup-', [status(thm)], [zip_derived_cl3010, zip_derived_cl3132])).
% 6.54/1.52 thf(zip_derived_cl212, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl148])).
% 6.54/1.52 thf(zip_derived_cl3456, plain,
% 6.54/1.52 (![X0 : $i]:
% 6.54/1.52 (((multiply @ a1 @ (inverse @ a1)) != (multiply @ X0 @ (inverse @ X0)))
% 6.54/1.52 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 6.54/1.52 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl3315, zip_derived_cl212])).
% 6.54/1.52 thf(zip_derived_cl171, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @
% 6.54/1.52 (multiply @ (inverse @ X1) @ (inverse @ X2))) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl143])).
% 6.54/1.52 thf(zip_derived_cl119, plain,
% 6.54/1.52 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl212, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl148])).
% 6.54/1.52 thf(zip_derived_cl69, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X0) @
% 6.54/1.52 (inverse @ (multiply @ X1 @ (inverse @ X0)))) = (inverse @ X1))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl58])).
% 6.54/1.52 thf(zip_derived_cl107, plain,
% 6.54/1.52 (![X0 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ X2 @ X0) @ (inverse @ X2)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl153, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 6.54/1.52 = (inverse @ (multiply @ X0 @ (inverse @ X1))))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl107])).
% 6.54/1.52 thf(zip_derived_cl119, plain,
% 6.54/1.52 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl154, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X0) @ X1)
% 6.54/1.52 = (inverse @ (multiply @ X0 @ (inverse @ X1))))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl153, zip_derived_cl119])).
% 6.54/1.52 thf(zip_derived_cl233, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X0) @ X1)
% 6.54/1.52 = (inverse @ (multiply @ (inverse @ X1) @ X0)))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl154])).
% 6.54/1.52 thf(zip_derived_cl154, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X0) @ X1)
% 6.54/1.52 = (inverse @ (multiply @ X0 @ (inverse @ X1))))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl153, zip_derived_cl119])).
% 6.54/1.52 thf(zip_derived_cl154, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X0) @ X1)
% 6.54/1.52 = (inverse @ (multiply @ X0 @ (inverse @ X1))))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl153, zip_derived_cl119])).
% 6.54/1.52 thf(zip_derived_cl186, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X2) @ (multiply @ X1 @ (inverse @ X0)))
% 6.54/1.52 = (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X1) @ X0))))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl154])).
% 6.54/1.52 thf(zip_derived_cl614, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ (inverse @ X0)) @
% 6.54/1.52 (multiply @ X2 @ (inverse @ X1)))
% 6.54/1.52 = (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X1)) @ X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl233, zip_derived_cl186])).
% 6.54/1.52 thf(zip_derived_cl119, plain,
% 6.54/1.52 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl233, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X0) @ X1)
% 6.54/1.52 = (inverse @ (multiply @ (inverse @ X1) @ X0)))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl154])).
% 6.54/1.52 thf(zip_derived_cl640, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ X0 @ (multiply @ X2 @ (inverse @ X1)))
% 6.54/1.52 = (multiply @ (multiply @ (inverse @ X1) @ X2) @ X0))),
% 6.54/1.52 inference('demod', [status(thm)],
% 6.54/1.52 [zip_derived_cl614, zip_derived_cl119, zip_derived_cl233])).
% 6.54/1.52 thf(zip_derived_cl708, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ X1 @ (multiply @ X2 @ X0))
% 6.54/1.52 = (multiply @ (multiply @ (inverse @ (inverse @ X0)) @ X2) @ X1))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl640])).
% 6.54/1.52 thf(zip_derived_cl119, plain,
% 6.54/1.52 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl740, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ X1 @ (multiply @ X2 @ X0))
% 6.54/1.52 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl708, zip_derived_cl119])).
% 6.54/1.52 thf(zip_derived_cl175, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)],
% 6.54/1.52 [zip_derived_cl83, zip_derived_cl143, zip_derived_cl143,
% 6.54/1.52 zip_derived_cl143, zip_derived_cl119, zip_derived_cl119])).
% 6.54/1.52 thf(zip_derived_cl795, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X0) @ (multiply @ (multiply @ X2 @ X1) @ X0))
% 6.54/1.52 = (multiply @ X1 @ X2))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl740, zip_derived_cl175])).
% 6.54/1.52 thf(zip_derived_cl2848, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @
% 6.54/1.52 (inverse @ (multiply @ (inverse @ X1) @ (inverse @ X2))) @ X0)
% 6.54/1.52 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl795])).
% 6.54/1.52 thf(zip_derived_cl212, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl148])).
% 6.54/1.52 thf(zip_derived_cl143, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 6.54/1.52 = (inverse @ (multiply @ X1 @ X0)))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl69])).
% 6.54/1.52 thf(zip_derived_cl230, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ (inverse @ X0) @ (inverse @ X1))
% 6.54/1.52 = (inverse @ (multiply @ X1 @ X0)))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl143])).
% 6.54/1.52 thf(zip_derived_cl119, plain,
% 6.54/1.52 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl356, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((inverse @ (multiply @ (inverse @ X1) @ (inverse @ X0)))
% 6.54/1.52 = (multiply @ X0 @ X1))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl119])).
% 6.54/1.52 thf(zip_derived_cl3006, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 6.54/1.52 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl2848, zip_derived_cl356])).
% 6.54/1.52 thf(zip_derived_cl3723, plain,
% 6.54/1.52 (![X0 : $i]:
% 6.54/1.52 (((multiply @ a1 @ (inverse @ a1)) != (multiply @ X0 @ (inverse @ X0)))
% 6.54/1.52 | ((multiply @ a3 @ (multiply @ b3 @ c3))
% 6.54/1.52 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 6.54/1.52 inference('demod', [status(thm)],
% 6.54/1.52 [zip_derived_cl3456, zip_derived_cl3006])).
% 6.54/1.52 thf(zip_derived_cl3724, plain,
% 6.54/1.52 (![X0 : $i]:
% 6.54/1.52 ((multiply @ a1 @ (inverse @ a1)) != (multiply @ X0 @ (inverse @ X0)))),
% 6.54/1.52 inference('simplify', [status(thm)], [zip_derived_cl3723])).
% 6.54/1.52 thf(zip_derived_cl2948, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl2908, zip_derived_cl119])).
% 6.54/1.52 thf(zip_derived_cl107, plain,
% 6.54/1.52 (![X0 : $i, X2 : $i]:
% 6.54/1.52 ((multiply @ (multiply @ X2 @ X0) @ (inverse @ X2)) = (X0))),
% 6.54/1.52 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl83])).
% 6.54/1.52 thf(zip_derived_cl3031, plain,
% 6.54/1.52 (![X0 : $i, X1 : $i]:
% 6.54/1.52 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 6.54/1.52 inference('sup+', [status(thm)], [zip_derived_cl2948, zip_derived_cl107])).
% 6.54/1.52 thf(zip_derived_cl3725, plain, ($false),
% 6.54/1.52 inference('simplify_reflect+', [status(thm)],
% 6.54/1.52 [zip_derived_cl3724, zip_derived_cl3031])).
% 6.54/1.52
% 6.54/1.52 % SZS output end Refutation
% 6.54/1.52
% 6.54/1.52
% 6.54/1.52 % Terminating...
% 6.54/1.56 % Runner terminated.
% 6.54/1.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------