%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP202-1 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.q5zFTakMIx true
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:35:59 PM UTC 2025
% Result : Unsatisfiable 108.49s 16.17s
% Output : Refutation 108.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP202-1 : TPTP v9.2.0. Released v2.2.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.q5zFTakMIx true
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 14:05:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.57/0.68 % Total configuration time : 435
% 0.57/0.68 % Estimated wc time : 1092
% 0.57/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 108.49/16.17 % Solved by fo/fo6_bce.sh.
% 108.49/16.17 % BCE start: 10
% 108.49/16.17 % BCE eliminated: 0
% 108.49/16.17 % PE start: 10
% 108.49/16.17 logic: eq
% 108.49/16.17 % PE eliminated: 0
% 108.49/16.17 % done 289 iterations in 15.409s
% 108.49/16.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 108.49/16.17 % SZS output start Refutation
% 108.49/16.17 thf(c_type, type, c: $i).
% 108.49/16.17 thf(left_division_type, type, left_division: $i > $i > $i).
% 108.49/16.17 thf(a_type, type, a: $i).
% 108.49/16.17 thf(b_type, type, b: $i).
% 108.49/16.17 thf(identity_type, type, identity: $i).
% 108.49/16.17 thf(multiply_type, type, multiply: $i > $i > $i).
% 108.49/16.17 thf(right_inverse_type, type, right_inverse: $i > $i).
% 108.49/16.17 thf(right_division_type, type, right_division: $i > $i > $i).
% 108.49/16.17 thf(prove_moufang1, conjecture,
% 108.49/16.17 (( multiply @ ( multiply @ a @ ( multiply @ b @ c ) ) @ a ) =
% 108.49/16.17 ( multiply @ ( multiply @ a @ b ) @ ( multiply @ c @ a ) ))).
% 108.49/16.17 thf(zf_stmt_0, negated_conjecture,
% 108.49/16.17 (( multiply @ ( multiply @ a @ ( multiply @ b @ c ) ) @ a ) !=
% 108.49/16.17 ( multiply @ ( multiply @ a @ b ) @ ( multiply @ c @ a ) )),
% 108.49/16.17 inference('cnf.neg', [status(esa)], [prove_moufang1])).
% 108.49/16.17 thf(zip_derived_cl9, plain,
% 108.49/16.17 (((multiply @ (multiply @ a @ (multiply @ b @ c)) @ a)
% 108.49/16.17 != (multiply @ (multiply @ a @ b) @ (multiply @ c @ a)))),
% 108.49/16.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 108.49/16.17 thf(moufang3, axiom,
% 108.49/16.17 (( multiply @ ( multiply @ ( multiply @ X @ Y ) @ X ) @ Z ) =
% 108.49/16.17 ( multiply @ X @ ( multiply @ Y @ ( multiply @ X @ Z ) ) ))).
% 108.49/16.17 thf(zip_derived_cl8, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ (multiply @ X0 @ X1) @ X0) @ X2)
% 108.49/16.17 = (multiply @ X0 @ (multiply @ X1 @ (multiply @ X0 @ X2))))),
% 108.49/16.17 inference('cnf', [status(esa)], [moufang3])).
% 108.49/16.17 thf(right_identity, axiom, (( multiply @ X @ identity ) = ( X ))).
% 108.49/16.17 thf(zip_derived_cl1, plain,
% 108.49/16.17 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [right_identity])).
% 108.49/16.17 thf(zip_derived_cl36, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ X0 @ (multiply @ X1 @ (multiply @ X0 @ identity)))
% 108.49/16.17 = (multiply @ (multiply @ X0 @ X1) @ X0))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 108.49/16.17 thf(zip_derived_cl1, plain,
% 108.49/16.17 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [right_identity])).
% 108.49/16.17 thf(zip_derived_cl56, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ X0 @ (multiply @ X1 @ X0))
% 108.49/16.17 = (multiply @ (multiply @ X0 @ X1) @ X0))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 108.49/16.17 thf(zip_derived_cl83, plain,
% 108.49/16.17 (((multiply @ a @ (multiply @ (multiply @ b @ c) @ a))
% 108.49/16.17 != (multiply @ (multiply @ a @ b) @ (multiply @ c @ a)))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl56])).
% 108.49/16.17 thf(zip_derived_cl1, plain,
% 108.49/16.17 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [right_identity])).
% 108.49/16.17 thf(right_inverse, axiom,
% 108.49/16.17 (( multiply @ X @ ( right_inverse @ X ) ) = ( identity ))).
% 108.49/16.17 thf(zip_derived_cl6, plain,
% 108.49/16.17 (![X0 : $i]: ((multiply @ X0 @ (right_inverse @ X0)) = (identity))),
% 108.49/16.17 inference('cnf', [status(esa)], [right_inverse])).
% 108.49/16.17 thf(zip_derived_cl8, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ (multiply @ X0 @ X1) @ X0) @ X2)
% 108.49/16.17 = (multiply @ X0 @ (multiply @ X1 @ (multiply @ X0 @ X2))))),
% 108.49/16.17 inference('cnf', [status(esa)], [moufang3])).
% 108.49/16.17 thf(zip_derived_cl44, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ identity @ X1) @ X0)
% 108.49/16.17 = (multiply @ X1 @
% 108.49/16.17 (multiply @ (right_inverse @ X1) @ (multiply @ X1 @ X0))))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl8])).
% 108.49/16.17 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 108.49/16.17 thf(zip_derived_cl0, plain,
% 108.49/16.17 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [left_identity])).
% 108.49/16.17 thf(zip_derived_cl51, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ X1 @ X0)
% 108.49/16.17 = (multiply @ X1 @
% 108.49/16.17 (multiply @ (right_inverse @ X1) @ (multiply @ X1 @ X0))))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 108.49/16.17 thf(zip_derived_cl6, plain,
% 108.49/16.17 (![X0 : $i]: ((multiply @ X0 @ (right_inverse @ X0)) = (identity))),
% 108.49/16.17 inference('cnf', [status(esa)], [right_inverse])).
% 108.49/16.17 thf(left_division_multiply, axiom,
% 108.49/16.17 (( left_division @ X @ ( multiply @ X @ Y ) ) = ( Y ))).
% 108.49/16.17 thf(zip_derived_cl3, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((left_division @ X1 @ (multiply @ X1 @ X0)) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [left_division_multiply])).
% 108.49/16.17 thf(zip_derived_cl18, plain,
% 108.49/16.17 (![X0 : $i]: ((left_division @ X0 @ identity) = (right_inverse @ X0))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 108.49/16.17 thf(zip_derived_cl166, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ X1 @ X0)
% 108.49/16.17 = (multiply @ X1 @
% 108.49/16.17 (multiply @ (left_division @ X1 @ identity) @
% 108.49/16.17 (multiply @ X1 @ X0))))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl18])).
% 108.49/16.17 thf(zip_derived_cl177, plain,
% 108.49/16.17 (![X0 : $i]:
% 108.49/16.17 ((X0)
% 108.49/16.17 = (multiply @ X0 @ (multiply @ (left_division @ X0 @ identity) @ X0)))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl166])).
% 108.49/16.17 thf(zip_derived_cl3, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((left_division @ X1 @ (multiply @ X1 @ X0)) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [left_division_multiply])).
% 108.49/16.17 thf(zip_derived_cl195, plain,
% 108.49/16.17 (![X0 : $i]:
% 108.49/16.17 ((left_division @ X0 @ X0)
% 108.49/16.17 = (multiply @ (left_division @ X0 @ identity) @ X0))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl177, zip_derived_cl3])).
% 108.49/16.17 thf(zip_derived_cl1, plain,
% 108.49/16.17 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [right_identity])).
% 108.49/16.17 thf(zip_derived_cl3, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((left_division @ X1 @ (multiply @ X1 @ X0)) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [left_division_multiply])).
% 108.49/16.17 thf(zip_derived_cl16, plain,
% 108.49/16.17 (![X0 : $i]: ((left_division @ X0 @ X0) = (identity))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 108.49/16.17 thf(zip_derived_cl212, plain,
% 108.49/16.17 (![X0 : $i]:
% 108.49/16.17 ((identity) = (multiply @ (left_division @ X0 @ identity) @ X0))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl16])).
% 108.49/16.17 thf(zip_derived_cl3, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((left_division @ X1 @ (multiply @ X1 @ X0)) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [left_division_multiply])).
% 108.49/16.17 thf(zip_derived_cl386, plain,
% 108.49/16.17 (![X0 : $i]:
% 108.49/16.17 ((left_division @ (left_division @ X0 @ identity) @ identity) = (X0))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl3])).
% 108.49/16.17 thf(zip_derived_cl212, plain,
% 108.49/16.17 (![X0 : $i]:
% 108.49/16.17 ((identity) = (multiply @ (left_division @ X0 @ identity) @ X0))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl16])).
% 108.49/16.17 thf(multiply_left_division, axiom,
% 108.49/16.17 (( multiply @ X @ ( left_division @ X @ Y ) ) = ( Y ))).
% 108.49/16.17 thf(zip_derived_cl2, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ X1 @ (left_division @ X1 @ X0)) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [multiply_left_division])).
% 108.49/16.17 thf(zip_derived_cl56, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ X0 @ (multiply @ X1 @ X0))
% 108.49/16.17 = (multiply @ (multiply @ X0 @ X1) @ X0))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 108.49/16.17 thf(zip_derived_cl89, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ X1 @ (multiply @ (left_division @ X1 @ X0) @ X1))
% 108.49/16.17 = (multiply @ X0 @ X1))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl56])).
% 108.49/16.17 thf(zip_derived_cl8, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ (multiply @ X0 @ X1) @ X0) @ X2)
% 108.49/16.17 = (multiply @ X0 @ (multiply @ X1 @ (multiply @ X0 @ X2))))),
% 108.49/16.17 inference('cnf', [status(esa)], [moufang3])).
% 108.49/16.17 thf(zip_derived_cl56, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ X0 @ (multiply @ X1 @ X0))
% 108.49/16.17 = (multiply @ (multiply @ X0 @ X1) @ X0))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 108.49/16.17 thf(zip_derived_cl82, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ X0 @ (multiply @ X1 @ X0)) @ X2)
% 108.49/16.17 = (multiply @ X0 @ (multiply @ X1 @ (multiply @ X0 @ X2))))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl56])).
% 108.49/16.17 thf(zip_derived_cl142, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 108.49/16.17 = (multiply @ X0 @
% 108.49/16.17 (multiply @ (left_division @ X0 @ X1) @ (multiply @ X0 @ X2))))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl82])).
% 108.49/16.17 thf(zip_derived_cl5183, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ X1 @ (left_division @ X0 @ identity)) @ X0)
% 108.49/16.17 = (multiply @ (left_division @ X0 @ identity) @
% 108.49/16.17 (multiply @
% 108.49/16.17 (left_division @ (left_division @ X0 @ identity) @ X1) @
% 108.49/16.17 identity)))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl142])).
% 108.49/16.17 thf(zip_derived_cl166, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ X1 @ X0)
% 108.49/16.17 = (multiply @ X1 @
% 108.49/16.17 (multiply @ (left_division @ X1 @ identity) @
% 108.49/16.17 (multiply @ X1 @ X0))))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl18])).
% 108.49/16.17 thf(zip_derived_cl3, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((left_division @ X1 @ (multiply @ X1 @ X0)) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [left_division_multiply])).
% 108.49/16.17 thf(zip_derived_cl167, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((left_division @ X1 @ (multiply @ X1 @ X0))
% 108.49/16.17 = (multiply @ (left_division @ X1 @ identity) @ (multiply @ X1 @ X0)))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl3])).
% 108.49/16.17 thf(zip_derived_cl3, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((left_division @ X1 @ (multiply @ X1 @ X0)) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [left_division_multiply])).
% 108.49/16.17 thf(zip_derived_cl190, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((X0)
% 108.49/16.17 = (multiply @ (left_division @ X1 @ identity) @ (multiply @ X1 @ X0)))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl167, zip_derived_cl3])).
% 108.49/16.17 thf(zip_derived_cl3, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((left_division @ X1 @ (multiply @ X1 @ X0)) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [left_division_multiply])).
% 108.49/16.17 thf(zip_derived_cl834, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((left_division @ (left_division @ X1 @ identity) @ X0)
% 108.49/16.17 = (multiply @ X1 @ X0))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl3])).
% 108.49/16.17 thf(zip_derived_cl1, plain,
% 108.49/16.17 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [right_identity])).
% 108.49/16.17 thf(zip_derived_cl190, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((X0)
% 108.49/16.17 = (multiply @ (left_division @ X1 @ identity) @ (multiply @ X1 @ X0)))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl167, zip_derived_cl3])).
% 108.49/16.17 thf(zip_derived_cl5211, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ X1 @ (left_division @ X0 @ identity)) @ X0)
% 108.49/16.17 = (X1))),
% 108.49/16.17 inference('demod', [status(thm)],
% 108.49/16.17 [zip_derived_cl5183, zip_derived_cl834, zip_derived_cl1,
% 108.49/16.17 zip_derived_cl190])).
% 108.49/16.17 thf(zip_derived_cl5479, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ X1 @ X0) @ (left_division @ X0 @ identity))
% 108.49/16.17 = (X1))),
% 108.49/16.17 inference('s_sup+', [status(thm)],
% 108.49/16.17 [zip_derived_cl386, zip_derived_cl5211])).
% 108.49/16.17 thf(zip_derived_cl2, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ X1 @ (left_division @ X1 @ X0)) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [multiply_left_division])).
% 108.49/16.17 thf(right_division_multiply, axiom,
% 108.49/16.17 (( right_division @ ( multiply @ X @ Y ) @ Y ) = ( X ))).
% 108.49/16.17 thf(zip_derived_cl5, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((right_division @ (multiply @ X0 @ X1) @ X1) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [right_division_multiply])).
% 108.49/16.17 thf(zip_derived_cl28, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((right_division @ X0 @ (left_division @ X1 @ X0)) = (X1))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 108.49/16.17 thf(zip_derived_cl5479, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ X1 @ X0) @ (left_division @ X0 @ identity))
% 108.49/16.17 = (X1))),
% 108.49/16.17 inference('s_sup+', [status(thm)],
% 108.49/16.17 [zip_derived_cl386, zip_derived_cl5211])).
% 108.49/16.17 thf(zip_derived_cl5, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((right_division @ (multiply @ X0 @ X1) @ X1) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [right_division_multiply])).
% 108.49/16.17 thf(zip_derived_cl5529, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((right_division @ X0 @ (left_division @ X1 @ identity))
% 108.49/16.17 = (multiply @ X0 @ X1))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl5479, zip_derived_cl5])).
% 108.49/16.17 thf(zip_derived_cl82, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ X0 @ (multiply @ X1 @ X0)) @ X2)
% 108.49/16.17 = (multiply @ X0 @ (multiply @ X1 @ (multiply @ X0 @ X2))))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl56])).
% 108.49/16.17 thf(zip_derived_cl5, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((right_division @ (multiply @ X0 @ X1) @ X1) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [right_division_multiply])).
% 108.49/16.17 thf(zip_derived_cl102, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.49/16.17 ((right_division @
% 108.49/16.17 (multiply @ X1 @ (multiply @ X2 @ (multiply @ X1 @ X0))) @ X0)
% 108.49/16.17 = (multiply @ X1 @ (multiply @ X2 @ X1)))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl5])).
% 108.49/16.17 thf(zip_derived_cl9934, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.49/16.17 ((multiply @
% 108.49/16.17 (multiply @ X1 @
% 108.49/16.17 (multiply @ X2 @ (multiply @ X1 @ (left_division @ X0 @ identity)))) @
% 108.49/16.17 X0) = (multiply @ X1 @ (multiply @ X2 @ X1)))),
% 108.49/16.17 inference('s_sup+', [status(thm)],
% 108.49/16.17 [zip_derived_cl5529, zip_derived_cl102])).
% 108.49/16.17 thf(zip_derived_cl5211, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ X1 @ (left_division @ X0 @ identity)) @ X0)
% 108.49/16.17 = (X1))),
% 108.49/16.17 inference('demod', [status(thm)],
% 108.49/16.17 [zip_derived_cl5183, zip_derived_cl834, zip_derived_cl1,
% 108.49/16.17 zip_derived_cl190])).
% 108.49/16.17 thf(zip_derived_cl5, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((right_division @ (multiply @ X0 @ X1) @ X1) = (X0))),
% 108.49/16.17 inference('cnf', [status(esa)], [right_division_multiply])).
% 108.49/16.17 thf(zip_derived_cl5433, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((right_division @ X0 @ X1)
% 108.49/16.17 = (multiply @ X0 @ (left_division @ X1 @ identity)))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl5211, zip_derived_cl5])).
% 108.49/16.17 thf(zip_derived_cl9958, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.49/16.17 ((multiply @
% 108.49/16.17 (multiply @ X1 @ (multiply @ X2 @ (right_division @ X1 @ X0))) @ X0)
% 108.49/16.17 = (multiply @ X1 @ (multiply @ X2 @ X1)))),
% 108.49/16.17 inference('demod', [status(thm)],
% 108.49/16.17 [zip_derived_cl9934, zip_derived_cl5433])).
% 108.49/16.17 thf(zip_derived_cl10753, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ X1 @ (multiply @ X2 @ X0)) @
% 108.49/16.17 (left_division @ X0 @ X1)) = (multiply @ X1 @ (multiply @ X2 @ X1)))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl9958])).
% 108.49/16.17 thf(zip_derived_cl13080, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ X1 @ X0) @
% 108.49/16.17 (left_division @ (left_division @ X2 @ identity) @ X1))
% 108.49/16.17 = (multiply @ X1 @ (multiply @ (multiply @ X0 @ X2) @ X1)))),
% 108.49/16.17 inference('s_sup+', [status(thm)],
% 108.49/16.17 [zip_derived_cl5479, zip_derived_cl10753])).
% 108.49/16.17 thf(zip_derived_cl834, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i]:
% 108.49/16.17 ((left_division @ (left_division @ X1 @ identity) @ X0)
% 108.49/16.17 = (multiply @ X1 @ X0))),
% 108.49/16.17 inference('s_sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl3])).
% 108.49/16.17 thf(zip_derived_cl13150, plain,
% 108.49/16.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 108.49/16.17 ((multiply @ (multiply @ X1 @ X0) @ (multiply @ X2 @ X1))
% 108.49/16.17 = (multiply @ X1 @ (multiply @ (multiply @ X0 @ X2) @ X1)))),
% 108.49/16.17 inference('demod', [status(thm)],
% 108.49/16.17 [zip_derived_cl13080, zip_derived_cl834])).
% 108.49/16.17 thf(zip_derived_cl14147, plain,
% 108.49/16.17 (((multiply @ a @ (multiply @ (multiply @ b @ c) @ a))
% 108.49/16.17 != (multiply @ a @ (multiply @ (multiply @ b @ c) @ a)))),
% 108.49/16.17 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl13150])).
% 108.49/16.17 thf(zip_derived_cl14148, plain, ($false),
% 108.49/16.17 inference('simplify', [status(thm)], [zip_derived_cl14147])).
% 108.49/16.17
% 108.49/16.17 % SZS output end Refutation
% 108.49/16.17
% 108.49/16.17
% 108.49/16.17 % Terminating...
% 108.49/16.22 % Runner terminated.
% 108.49/16.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------