%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP200-1 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HwjzbXBebj true
% Computer : n021.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 220.74s 32.26s
% Output : Refutation 220.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GRP200-1 : TPTP v9.2.0. Released v2.2.0.
% 0.10/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HwjzbXBebj true
% 0.12/0.35 % Computer : n021.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 14:15:38 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.36 % Running in FO mode
% 0.46/0.61 % Total configuration time : 435
% 0.46/0.61 % Estimated wc time : 1092
% 0.46/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 220.74/32.26 % Solved by fo/fo6_bce.sh.
% 220.74/32.26 % BCE start: 10
% 220.74/32.26 % BCE eliminated: 0
% 220.74/32.26 % PE start: 10
% 220.74/32.26 logic: eq
% 220.74/32.26 % PE eliminated: 0
% 220.74/32.26 % done 742 iterations in 31.541s
% 220.74/32.26 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 220.74/32.26 % SZS output start Refutation
% 220.74/32.26 thf(c_type, type, c: $i).
% 220.74/32.26 thf(left_division_type, type, left_division: $i > $i > $i).
% 220.74/32.26 thf(a_type, type, a: $i).
% 220.74/32.26 thf(b_type, type, b: $i).
% 220.74/32.26 thf(identity_type, type, identity: $i).
% 220.74/32.26 thf(multiply_type, type, multiply: $i > $i > $i).
% 220.74/32.26 thf(right_inverse_type, type, right_inverse: $i > $i).
% 220.74/32.26 thf(right_division_type, type, right_division: $i > $i > $i).
% 220.74/32.26 thf(prove_moufang2, conjecture,
% 220.74/32.26 (( multiply @ ( multiply @ ( multiply @ a @ b ) @ c ) @ b ) =
% 220.74/32.26 ( multiply @ a @ ( multiply @ b @ ( multiply @ c @ b ) ) ))).
% 220.74/32.26 thf(zf_stmt_0, negated_conjecture,
% 220.74/32.26 (( multiply @ ( multiply @ ( multiply @ a @ b ) @ c ) @ b ) !=
% 220.74/32.26 ( multiply @ a @ ( multiply @ b @ ( multiply @ c @ b ) ) )),
% 220.74/32.26 inference('cnf.neg', [status(esa)], [prove_moufang2])).
% 220.74/32.26 thf(zip_derived_cl9, plain,
% 220.74/32.26 (((multiply @ (multiply @ (multiply @ a @ b) @ c) @ b)
% 220.74/32.26 != (multiply @ a @ (multiply @ b @ (multiply @ c @ b))))),
% 220.74/32.26 inference('cnf', [status(esa)], [zf_stmt_0])).
% 220.74/32.26 thf(right_division_multiply, axiom,
% 220.74/32.26 (( right_division @ ( multiply @ X @ Y ) @ Y ) = ( X ))).
% 220.74/32.26 thf(zip_derived_cl5, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ (multiply @ X0 @ X1) @ X1) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [right_division_multiply])).
% 220.74/32.26 thf(right_inverse, axiom,
% 220.74/32.26 (( multiply @ X @ ( right_inverse @ X ) ) = ( identity ))).
% 220.74/32.26 thf(zip_derived_cl6, plain,
% 220.74/32.26 (![X0 : $i]: ((multiply @ X0 @ (right_inverse @ X0)) = (identity))),
% 220.74/32.26 inference('cnf', [status(esa)], [right_inverse])).
% 220.74/32.26 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 220.74/32.26 thf(zip_derived_cl0, plain,
% 220.74/32.26 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [left_identity])).
% 220.74/32.26 thf(moufang1, axiom,
% 220.74/32.26 (( multiply @ ( multiply @ X @ ( multiply @ Y @ Z ) ) @ X ) =
% 220.74/32.26 ( multiply @ ( multiply @ X @ Y ) @ ( multiply @ Z @ X ) ))).
% 220.74/32.26 thf(zip_derived_cl8, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ (multiply @ X0 @ (multiply @ X1 @ X2)) @ X0)
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X0)))),
% 220.74/32.26 inference('cnf', [status(esa)], [moufang1])).
% 220.74/32.26 thf(zip_derived_cl46, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (multiply @ X1 @ X0) @ X1)
% 220.74/32.26 = (multiply @ (multiply @ X1 @ identity) @ (multiply @ X0 @ X1)))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl8])).
% 220.74/32.26 thf(right_identity, axiom, (( multiply @ X @ identity ) = ( X ))).
% 220.74/32.26 thf(zip_derived_cl1, plain,
% 220.74/32.26 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [right_identity])).
% 220.74/32.26 thf(zip_derived_cl54, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (multiply @ X1 @ X0) @ X1)
% 220.74/32.26 = (multiply @ X1 @ (multiply @ X0 @ X1)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl1])).
% 220.74/32.26 thf(zip_derived_cl65, plain,
% 220.74/32.26 (![X0 : $i]:
% 220.74/32.26 ((multiply @ identity @ X0)
% 220.74/32.26 = (multiply @ X0 @ (multiply @ (right_inverse @ X0) @ X0)))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl54])).
% 220.74/32.26 thf(zip_derived_cl0, plain,
% 220.74/32.26 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [left_identity])).
% 220.74/32.26 thf(zip_derived_cl71, plain,
% 220.74/32.26 (![X0 : $i]:
% 220.74/32.26 ((X0) = (multiply @ X0 @ (multiply @ (right_inverse @ X0) @ X0)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl0])).
% 220.74/32.26 thf(zip_derived_cl6, plain,
% 220.74/32.26 (![X0 : $i]: ((multiply @ X0 @ (right_inverse @ X0)) = (identity))),
% 220.74/32.26 inference('cnf', [status(esa)], [right_inverse])).
% 220.74/32.26 thf(left_division_multiply, axiom,
% 220.74/32.26 (( left_division @ X @ ( multiply @ X @ Y ) ) = ( Y ))).
% 220.74/32.26 thf(zip_derived_cl3, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((left_division @ X1 @ (multiply @ X1 @ X0)) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [left_division_multiply])).
% 220.74/32.26 thf(zip_derived_cl18, plain,
% 220.74/32.26 (![X0 : $i]: ((left_division @ X0 @ identity) = (right_inverse @ X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 220.74/32.26 thf(zip_derived_cl81, plain,
% 220.74/32.26 (![X0 : $i]:
% 220.74/32.26 ((X0)
% 220.74/32.26 = (multiply @ X0 @ (multiply @ (left_division @ X0 @ identity) @ X0)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl18])).
% 220.74/32.26 thf(zip_derived_cl3, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((left_division @ X1 @ (multiply @ X1 @ X0)) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [left_division_multiply])).
% 220.74/32.26 thf(zip_derived_cl82, plain,
% 220.74/32.26 (![X0 : $i]:
% 220.74/32.26 ((left_division @ X0 @ X0)
% 220.74/32.26 = (multiply @ (left_division @ X0 @ identity) @ X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl3])).
% 220.74/32.26 thf(zip_derived_cl1, plain,
% 220.74/32.26 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [right_identity])).
% 220.74/32.26 thf(zip_derived_cl3, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((left_division @ X1 @ (multiply @ X1 @ X0)) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [left_division_multiply])).
% 220.74/32.26 thf(zip_derived_cl16, plain,
% 220.74/32.26 (![X0 : $i]: ((left_division @ X0 @ X0) = (identity))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 220.74/32.26 thf(zip_derived_cl93, plain,
% 220.74/32.26 (![X0 : $i]:
% 220.74/32.26 ((identity) = (multiply @ (left_division @ X0 @ identity) @ X0))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl16])).
% 220.74/32.26 thf(zip_derived_cl8, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ (multiply @ X0 @ (multiply @ X1 @ X2)) @ X0)
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X0)))),
% 220.74/32.26 inference('cnf', [status(esa)], [moufang1])).
% 220.74/32.26 thf(zip_derived_cl54, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (multiply @ X1 @ X0) @ X1)
% 220.74/32.26 = (multiply @ X1 @ (multiply @ X0 @ X1)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl1])).
% 220.74/32.26 thf(zip_derived_cl58, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ X0 @ (multiply @ (multiply @ X1 @ X2) @ X0))
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X0)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl54])).
% 220.74/32.26 thf(zip_derived_cl379, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (left_division @ X0 @ identity) @
% 220.74/32.26 (multiply @ (multiply @ X0 @ X1) @ (left_division @ X0 @ identity)))
% 220.74/32.26 = (multiply @ identity @
% 220.74/32.26 (multiply @ X1 @ (left_division @ X0 @ identity))))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl58])).
% 220.74/32.26 thf(zip_derived_cl0, plain,
% 220.74/32.26 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [left_identity])).
% 220.74/32.26 thf(zip_derived_cl388, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (left_division @ X0 @ identity) @
% 220.74/32.26 (multiply @ (multiply @ X0 @ X1) @ (left_division @ X0 @ identity)))
% 220.74/32.26 = (multiply @ X1 @ (left_division @ X0 @ identity)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl379, zip_derived_cl0])).
% 220.74/32.26 thf(zip_derived_cl93, plain,
% 220.74/32.26 (![X0 : $i]:
% 220.74/32.26 ((identity) = (multiply @ (left_division @ X0 @ identity) @ X0))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl16])).
% 220.74/32.26 thf(zip_derived_cl3, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((left_division @ X1 @ (multiply @ X1 @ X0)) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [left_division_multiply])).
% 220.74/32.26 thf(zip_derived_cl251, plain,
% 220.74/32.26 (![X0 : $i]:
% 220.74/32.26 ((left_division @ (left_division @ X0 @ identity) @ identity) = (X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl3])).
% 220.74/32.26 thf(multiply_right_division, axiom,
% 220.74/32.26 (( multiply @ ( right_division @ X @ Y ) @ Y ) = ( X ))).
% 220.74/32.26 thf(zip_derived_cl4, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (right_division @ X0 @ X1) @ X1) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [multiply_right_division])).
% 220.74/32.26 thf(zip_derived_cl58, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ X0 @ (multiply @ (multiply @ X1 @ X2) @ X0))
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X0)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl54])).
% 220.74/32.26 thf(zip_derived_cl54, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (multiply @ X1 @ X0) @ X1)
% 220.74/32.26 = (multiply @ X1 @ (multiply @ X0 @ X1)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl1])).
% 220.74/32.26 thf(zip_derived_cl4, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (right_division @ X0 @ X1) @ X1) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [multiply_right_division])).
% 220.74/32.26 thf(zip_derived_cl58, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ X0 @ (multiply @ (multiply @ X1 @ X2) @ X0))
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X0)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl54])).
% 220.74/32.26 thf(zip_derived_cl368, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ X1 @
% 220.74/32.26 (multiply @ (multiply @ X2 @ (right_division @ X0 @ X1)) @ X1))
% 220.74/32.26 = (multiply @ (multiply @ X1 @ X2) @ X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl58])).
% 220.74/32.26 thf(zip_derived_cl401, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ X0 @
% 220.74/32.26 (multiply @ X0 @ (multiply @ (right_division @ X1 @ X0) @ X0)))
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X0) @ X1))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl368])).
% 220.74/32.26 thf(zip_derived_cl4, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (right_division @ X0 @ X1) @ X1) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [multiply_right_division])).
% 220.74/32.26 thf(zip_derived_cl412, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ X0 @ (multiply @ X0 @ X1))
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X0) @ X1))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl401, zip_derived_cl4])).
% 220.74/32.26 thf(zip_derived_cl5, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ (multiply @ X0 @ X1) @ X1) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [right_division_multiply])).
% 220.74/32.26 thf(zip_derived_cl423, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ (multiply @ X1 @ (multiply @ X1 @ X0)) @ X0)
% 220.74/32.26 = (multiply @ X1 @ X1))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl412, zip_derived_cl5])).
% 220.74/32.26 thf(zip_derived_cl1205, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @
% 220.74/32.26 (multiply @ X0 @
% 220.74/32.26 (multiply @ (multiply @ X1 @ (multiply @ X0 @ X1)) @ X0)) @
% 220.74/32.26 X0) = (multiply @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X1)))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl423])).
% 220.74/32.26 thf(zip_derived_cl54, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (multiply @ X1 @ X0) @ X1)
% 220.74/32.26 = (multiply @ X1 @ (multiply @ X0 @ X1)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl1])).
% 220.74/32.26 thf(zip_derived_cl5, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ (multiply @ X0 @ X1) @ X1) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [right_division_multiply])).
% 220.74/32.26 thf(zip_derived_cl61, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ (multiply @ X0 @ (multiply @ X1 @ X0)) @ X0)
% 220.74/32.26 = (multiply @ X0 @ X1))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl5])).
% 220.74/32.26 thf(zip_derived_cl1227, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ X0 @ (multiply @ X1 @ (multiply @ X0 @ X1)))
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X1)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl1205, zip_derived_cl61])).
% 220.74/32.26 thf(zip_derived_cl1695, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (right_division @ X0 @ X1) @ (multiply @ X1 @ X0))
% 220.74/32.26 = (multiply @ X0 @ X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1227])).
% 220.74/32.26 thf(zip_derived_cl5, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ (multiply @ X0 @ X1) @ X1) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [right_division_multiply])).
% 220.74/32.26 thf(zip_derived_cl2229, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ (multiply @ X0 @ X0) @ (multiply @ X1 @ X0))
% 220.74/32.26 = (right_division @ X0 @ X1))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl1695, zip_derived_cl5])).
% 220.74/32.26 thf(zip_derived_cl6, plain,
% 220.74/32.26 (![X0 : $i]: ((multiply @ X0 @ (right_inverse @ X0)) = (identity))),
% 220.74/32.26 inference('cnf', [status(esa)], [right_inverse])).
% 220.74/32.26 thf(zip_derived_cl8, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ (multiply @ X0 @ (multiply @ X1 @ X2)) @ X0)
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X0)))),
% 220.74/32.26 inference('cnf', [status(esa)], [moufang1])).
% 220.74/32.26 thf(zip_derived_cl44, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (multiply @ X0 @ identity) @ X0)
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X1) @
% 220.74/32.26 (multiply @ (right_inverse @ X1) @ X0)))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl8])).
% 220.74/32.26 thf(zip_derived_cl1, plain,
% 220.74/32.26 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [right_identity])).
% 220.74/32.26 thf(zip_derived_cl52, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ X0 @ X0)
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X1) @
% 220.74/32.26 (multiply @ (right_inverse @ X1) @ X0)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl1])).
% 220.74/32.26 thf(zip_derived_cl18, plain,
% 220.74/32.26 (![X0 : $i]: ((left_division @ X0 @ identity) = (right_inverse @ X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 220.74/32.26 thf(zip_derived_cl159, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ X0 @ X0)
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X1) @
% 220.74/32.26 (multiply @ (left_division @ X1 @ identity) @ X0)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl18])).
% 220.74/32.26 thf(zip_derived_cl5, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ (multiply @ X0 @ X1) @ X1) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [right_division_multiply])).
% 220.74/32.26 thf(zip_derived_cl164, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ (multiply @ X0 @ X0) @
% 220.74/32.26 (multiply @ (left_division @ X1 @ identity) @ X0))
% 220.74/32.26 = (multiply @ X0 @ X1))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl159, zip_derived_cl5])).
% 220.74/32.26 thf(zip_derived_cl8082, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ X1 @ (left_division @ X0 @ identity))
% 220.74/32.26 = (multiply @ X1 @ X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)],
% 220.74/32.26 [zip_derived_cl2229, zip_derived_cl164])).
% 220.74/32.26 thf(zip_derived_cl8224, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ X1 @ X0)
% 220.74/32.26 = (multiply @ X1 @ (left_division @ X0 @ identity)))),
% 220.74/32.26 inference('s_sup+', [status(thm)],
% 220.74/32.26 [zip_derived_cl251, zip_derived_cl8082])).
% 220.74/32.26 thf(zip_derived_cl4, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (right_division @ X0 @ X1) @ X1) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [multiply_right_division])).
% 220.74/32.26 thf(zip_derived_cl61, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ (multiply @ X0 @ (multiply @ X1 @ X0)) @ X0)
% 220.74/32.26 = (multiply @ X0 @ X1))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl5])).
% 220.74/32.26 thf(zip_derived_cl652, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ (multiply @ X1 @ X0) @ X1)
% 220.74/32.26 = (multiply @ X1 @ (right_division @ X0 @ X1)))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl61])).
% 220.74/32.26 thf(zip_derived_cl8224, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ X1 @ X0)
% 220.74/32.26 = (multiply @ X1 @ (left_division @ X0 @ identity)))),
% 220.74/32.26 inference('s_sup+', [status(thm)],
% 220.74/32.26 [zip_derived_cl251, zip_derived_cl8082])).
% 220.74/32.26 thf(zip_derived_cl15858, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (left_division @ X0 @ identity) @
% 220.74/32.26 (multiply @ X0 @ (right_division @ X1 @ X0)))
% 220.74/32.26 = (right_division @ X1 @ X0))),
% 220.74/32.26 inference('demod', [status(thm)],
% 220.74/32.26 [zip_derived_cl388, zip_derived_cl8224, zip_derived_cl652,
% 220.74/32.26 zip_derived_cl8224])).
% 220.74/32.26 thf(zip_derived_cl15952, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (left_division @ X1 @ identity) @ (multiply @ X1 @ X0))
% 220.74/32.26 = (X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl15858])).
% 220.74/32.26 thf(zip_derived_cl4, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (right_division @ X0 @ X1) @ X1) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [multiply_right_division])).
% 220.74/32.26 thf(zip_derived_cl58, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ X0 @ (multiply @ (multiply @ X1 @ X2) @ X0))
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X0)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl54])).
% 220.74/32.26 thf(zip_derived_cl380, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ (right_division @ X0 @ X1) @
% 220.74/32.26 (multiply @ (multiply @ X1 @ X2) @ (right_division @ X0 @ X1)))
% 220.74/32.26 = (multiply @ X0 @ (multiply @ X2 @ (right_division @ X0 @ X1))))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl58])).
% 220.74/32.26 thf(zip_derived_cl16917, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @
% 220.74/32.26 (right_division @ X2 @ (left_division @ X1 @ identity)) @
% 220.74/32.26 (multiply @ X0 @
% 220.74/32.26 (right_division @ X2 @ (left_division @ X1 @ identity))))
% 220.74/32.26 = (multiply @ X2 @
% 220.74/32.26 (multiply @ (multiply @ X1 @ X0) @
% 220.74/32.26 (right_division @ X2 @ (left_division @ X1 @ identity)))))),
% 220.74/32.26 inference('s_sup+', [status(thm)],
% 220.74/32.26 [zip_derived_cl15952, zip_derived_cl380])).
% 220.74/32.26 thf(zip_derived_cl8082, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ X1 @ (left_division @ X0 @ identity))
% 220.74/32.26 = (multiply @ X1 @ X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)],
% 220.74/32.26 [zip_derived_cl2229, zip_derived_cl164])).
% 220.74/32.26 thf(zip_derived_cl8082, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ X1 @ (left_division @ X0 @ identity))
% 220.74/32.26 = (multiply @ X1 @ X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)],
% 220.74/32.26 [zip_derived_cl2229, zip_derived_cl164])).
% 220.74/32.26 thf(zip_derived_cl8082, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ X1 @ (left_division @ X0 @ identity))
% 220.74/32.26 = (multiply @ X1 @ X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)],
% 220.74/32.26 [zip_derived_cl2229, zip_derived_cl164])).
% 220.74/32.26 thf(zip_derived_cl58, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ X0 @ (multiply @ (multiply @ X1 @ X2) @ X0))
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X0)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl54])).
% 220.74/32.26 thf(zip_derived_cl17100, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ (multiply @ X2 @ X1) @
% 220.74/32.26 (multiply @ X0 @ (multiply @ X2 @ X1)))
% 220.74/32.26 = (multiply @ X2 @
% 220.74/32.26 (multiply @ X1 @ (multiply @ (multiply @ X0 @ X2) @ X1))))),
% 220.74/32.26 inference('demod', [status(thm)],
% 220.74/32.26 [zip_derived_cl16917, zip_derived_cl8082, zip_derived_cl8082,
% 220.74/32.26 zip_derived_cl8082, zip_derived_cl58])).
% 220.74/32.26 thf(zip_derived_cl15952, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (left_division @ X1 @ identity) @ (multiply @ X1 @ X0))
% 220.74/32.26 = (X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl15858])).
% 220.74/32.26 thf(zip_derived_cl58, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ X0 @ (multiply @ (multiply @ X1 @ X2) @ X0))
% 220.74/32.26 = (multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X0)))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl54])).
% 220.74/32.26 thf(zip_derived_cl16915, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ (multiply @ X1 @ X0) @
% 220.74/32.26 (multiply @ (multiply @ X2 @ (left_division @ X1 @ identity)) @
% 220.74/32.26 (multiply @ X1 @ X0)))
% 220.74/32.26 = (multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @ X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)],
% 220.74/32.26 [zip_derived_cl15952, zip_derived_cl58])).
% 220.74/32.26 thf(zip_derived_cl8224, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((right_division @ X1 @ X0)
% 220.74/32.26 = (multiply @ X1 @ (left_division @ X0 @ identity)))),
% 220.74/32.26 inference('s_sup+', [status(thm)],
% 220.74/32.26 [zip_derived_cl251, zip_derived_cl8082])).
% 220.74/32.26 thf(zip_derived_cl17098, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ (multiply @ X1 @ X0) @
% 220.74/32.26 (multiply @ (right_division @ X2 @ X1) @ (multiply @ X1 @ X0)))
% 220.74/32.26 = (multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @ X0))),
% 220.74/32.26 inference('demod', [status(thm)],
% 220.74/32.26 [zip_derived_cl16915, zip_derived_cl8224])).
% 220.74/32.26 thf(zip_derived_cl64391, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ X1 @
% 220.74/32.26 (multiply @ X0 @
% 220.74/32.26 (multiply @ (multiply @ (right_division @ X2 @ X1) @ X1) @ X0)))
% 220.74/32.26 = (multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @ X0))),
% 220.74/32.26 inference('s_sup+', [status(thm)],
% 220.74/32.26 [zip_derived_cl17100, zip_derived_cl17098])).
% 220.74/32.26 thf(zip_derived_cl4, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i]:
% 220.74/32.26 ((multiply @ (right_division @ X0 @ X1) @ X1) = (X0))),
% 220.74/32.26 inference('cnf', [status(esa)], [multiply_right_division])).
% 220.74/32.26 thf(zip_derived_cl65112, plain,
% 220.74/32.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 220.74/32.26 ((multiply @ X1 @ (multiply @ X0 @ (multiply @ X2 @ X0)))
% 220.74/32.26 = (multiply @ (multiply @ (multiply @ X1 @ X0) @ X2) @ X0))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl64391, zip_derived_cl4])).
% 220.74/32.26 thf(zip_derived_cl65730, plain,
% 220.74/32.26 (((multiply @ a @ (multiply @ b @ (multiply @ c @ b)))
% 220.74/32.26 != (multiply @ a @ (multiply @ b @ (multiply @ c @ b))))),
% 220.74/32.26 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl65112])).
% 220.74/32.26 thf(zip_derived_cl65731, plain, ($false),
% 220.74/32.26 inference('simplify', [status(thm)], [zip_derived_cl65730])).
% 220.74/32.26
% 220.74/32.26 % SZS output end Refutation
% 220.74/32.26
% 220.74/32.26
% 220.74/32.26 % Terminating...
% 220.74/32.30 % Runner terminated.
% 220.74/32.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------