TSTP Solution File: BOO034-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO034-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.I0l2SM3AKD true
% Computer : n018.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 : Wed Aug 30 18:13:24 EDT 2023
% Result : Unsatisfiable 1.31s 0.90s
% Output : Refutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO034-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.I0l2SM3AKD true
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 08:17:01 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.94/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.94/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.94/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.94/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.94/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.90 % Solved by fo/fo7.sh.
% 1.31/0.90 % done 72 iterations in 0.096s
% 1.31/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/0.90 % SZS output start Refutation
% 1.31/0.90 thf(multiply_type, type, multiply: $i > $i > $i > $i).
% 1.31/0.90 thf(d_type, type, d: $i).
% 1.31/0.90 thf(g_type, type, g: $i).
% 1.31/0.90 thf(f_type, type, f: $i).
% 1.31/0.90 thf(e_type, type, e: $i).
% 1.31/0.90 thf(b_type, type, b: $i).
% 1.31/0.90 thf(inverse_type, type, inverse: $i > $i).
% 1.31/0.90 thf(a_type, type, a: $i).
% 1.31/0.90 thf(c_type, type, c: $i).
% 1.31/0.90 thf(prove_single_axiom, conjecture,
% 1.31/0.90 (( multiply @
% 1.31/0.90 ( multiply @ a @ ( inverse @ a ) @ b ) @
% 1.31/0.90 ( inverse @
% 1.31/0.90 ( multiply @ ( multiply @ c @ d @ e ) @ f @ ( multiply @ c @ d @ g ) ) ) @
% 1.31/0.90 ( multiply @ d @ ( multiply @ g @ f @ e ) @ c ) ) =
% 1.31/0.90 ( b ))).
% 1.31/0.90 thf(zf_stmt_0, negated_conjecture,
% 1.31/0.90 (( multiply @
% 1.31/0.90 ( multiply @ a @ ( inverse @ a ) @ b ) @
% 1.31/0.90 ( inverse @
% 1.31/0.90 ( multiply @ ( multiply @ c @ d @ e ) @ f @ ( multiply @ c @ d @ g ) ) ) @
% 1.31/0.90 ( multiply @ d @ ( multiply @ g @ f @ e ) @ c ) ) !=
% 1.31/0.90 ( b )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [prove_single_axiom])).
% 1.31/0.90 thf(zip_derived_cl5, plain,
% 1.31/0.90 (((multiply @ (multiply @ a @ (inverse @ a) @ b) @
% 1.31/0.90 (inverse @
% 1.31/0.90 (multiply @ (multiply @ c @ d @ e) @ f @ (multiply @ c @ d @ g))) @
% 1.31/0.90 (multiply @ d @ (multiply @ g @ f @ e) @ c)) != (b))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.31/0.90 thf(associativity, axiom,
% 1.31/0.90 (( multiply @ ( multiply @ V @ W @ X ) @ Y @ ( multiply @ V @ W @ Z ) ) =
% 1.31/0.90 ( multiply @ V @ W @ ( multiply @ X @ Y @ Z ) ))).
% 1.31/0.90 thf(zip_derived_cl0, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/0.90 ((multiply @ (multiply @ X0 @ X1 @ X2) @ X3 @
% 1.31/0.90 (multiply @ X0 @ X1 @ X4))
% 1.31/0.90 = (multiply @ X0 @ X1 @ (multiply @ X2 @ X3 @ X4)))),
% 1.31/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.31/0.90 thf(zip_derived_cl6, plain,
% 1.31/0.90 (((multiply @ (multiply @ a @ (inverse @ a) @ b) @
% 1.31/0.90 (inverse @ (multiply @ c @ d @ (multiply @ e @ f @ g))) @
% 1.31/0.90 (multiply @ d @ (multiply @ g @ f @ e) @ c)) != (b))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 1.31/0.90 thf(right_inverse, axiom, (( multiply @ X @ Y @ ( inverse @ Y ) ) = ( X ))).
% 1.31/0.90 thf(zip_derived_cl4, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1 @ (inverse @ X1)) = (X0))),
% 1.31/0.90 inference('cnf', [status(esa)], [right_inverse])).
% 1.31/0.90 thf(ternary_multiply_1, axiom, (( multiply @ Y @ X @ X ) = ( X ))).
% 1.31/0.90 thf(zip_derived_cl1, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0 @ X0) = (X0))),
% 1.31/0.90 inference('cnf', [status(esa)], [ternary_multiply_1])).
% 1.31/0.90 thf(zip_derived_cl0, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/0.90 ((multiply @ (multiply @ X0 @ X1 @ X2) @ X3 @
% 1.31/0.90 (multiply @ X0 @ X1 @ X4))
% 1.31/0.90 = (multiply @ X0 @ X1 @ (multiply @ X2 @ X3 @ X4)))),
% 1.31/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.31/0.90 thf(zip_derived_cl11, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.90 ((multiply @ (multiply @ X3 @ X0 @ X2) @ X1 @ X0)
% 1.31/0.90 = (multiply @ X3 @ X0 @ (multiply @ X2 @ X1 @ X0)))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.31/0.90 thf(zip_derived_cl38, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X0 @ X2 @ X1)
% 1.31/0.90 = (multiply @ X0 @ X1 @ (multiply @ (inverse @ X1) @ X2 @ X1)))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl11])).
% 1.31/0.90 thf(zip_derived_cl38, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X0 @ X2 @ X1)
% 1.31/0.90 = (multiply @ X0 @ X1 @ (multiply @ (inverse @ X1) @ X2 @ X1)))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl11])).
% 1.31/0.90 thf(zip_derived_cl183, plain,
% 1.31/0.90 (((multiply @ (multiply @ a @ (inverse @ a) @ b) @
% 1.31/0.90 (inverse @ (multiply @ c @ d @ (multiply @ e @ f @ g))) @
% 1.31/0.90 (multiply @ d @ c @
% 1.31/0.90 (multiply @ (inverse @ c) @
% 1.31/0.90 (multiply @ g @ e @ (multiply @ (inverse @ e) @ f @ e)) @ c)))
% 1.31/0.90 != (b))),
% 1.31/0.90 inference('demod', [status(thm)],
% 1.31/0.90 [zip_derived_cl6, zip_derived_cl38, zip_derived_cl38])).
% 1.31/0.90 thf(ternary_multiply_2, axiom, (( multiply @ X @ X @ Y ) = ( X ))).
% 1.31/0.90 thf(zip_derived_cl2, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 1.31/0.90 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 1.31/0.90 thf(zip_derived_cl38, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X0 @ X2 @ X1)
% 1.31/0.90 = (multiply @ X0 @ X1 @ (multiply @ (inverse @ X1) @ X2 @ X1)))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl11])).
% 1.31/0.90 thf(zip_derived_cl174, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]:
% 1.31/0.90 ((multiply @ X1 @ (inverse @ X0) @ X0)
% 1.31/0.90 = (multiply @ X1 @ X0 @ (inverse @ X0)))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl38])).
% 1.31/0.90 thf(zip_derived_cl4, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1 @ (inverse @ X1)) = (X0))),
% 1.31/0.90 inference('cnf', [status(esa)], [right_inverse])).
% 1.31/0.90 thf(zip_derived_cl179, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ (inverse @ X0) @ X0) = (X1))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl4])).
% 1.31/0.90 thf(left_inverse, axiom, (( multiply @ ( inverse @ Y ) @ Y @ X ) = ( X ))).
% 1.31/0.90 thf(zip_derived_cl3, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((multiply @ (inverse @ X1) @ X1 @ X0) = (X0))),
% 1.31/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.90 thf(zip_derived_cl194, plain,
% 1.31/0.90 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl3])).
% 1.31/0.90 thf(zip_derived_cl3, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((multiply @ (inverse @ X1) @ X1 @ X0) = (X0))),
% 1.31/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.90 thf(zip_derived_cl204, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ (inverse @ X0) @ X1) = (X1))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl3])).
% 1.31/0.90 thf(zip_derived_cl211, plain,
% 1.31/0.90 (((multiply @ b @
% 1.31/0.90 (inverse @ (multiply @ c @ d @ (multiply @ e @ f @ g))) @
% 1.31/0.90 (multiply @ d @ c @
% 1.31/0.90 (multiply @ (inverse @ c) @
% 1.31/0.90 (multiply @ g @ e @ (multiply @ (inverse @ e) @ f @ e)) @ c)))
% 1.31/0.90 != (b))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl183, zip_derived_cl204])).
% 1.31/0.90 thf(zip_derived_cl38, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X0 @ X2 @ X1)
% 1.31/0.90 = (multiply @ X0 @ X1 @ (multiply @ (inverse @ X1) @ X2 @ X1)))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl11])).
% 1.31/0.90 thf(zip_derived_cl1, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0 @ X0) = (X0))),
% 1.31/0.90 inference('cnf', [status(esa)], [ternary_multiply_1])).
% 1.31/0.90 thf(zip_derived_cl0, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/0.90 ((multiply @ (multiply @ X0 @ X1 @ X2) @ X3 @
% 1.31/0.90 (multiply @ X0 @ X1 @ X4))
% 1.31/0.90 = (multiply @ X0 @ X1 @ (multiply @ X2 @ X3 @ X4)))),
% 1.31/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.31/0.90 thf(zip_derived_cl16, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.90 ((multiply @ X0 @ X2 @ (multiply @ X3 @ X0 @ X1))
% 1.31/0.90 = (multiply @ X3 @ X0 @ (multiply @ X0 @ X2 @ X1)))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.31/0.90 thf(zip_derived_cl289, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]:
% 1.31/0.90 ((multiply @ X1 @ X1 @ X0)
% 1.31/0.90 = (multiply @ (inverse @ X0) @ X1 @ (multiply @ X1 @ X0 @ X0)))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl16])).
% 1.31/0.90 thf(zip_derived_cl2, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X0 @ X1) = (X0))),
% 1.31/0.90 inference('cnf', [status(esa)], [ternary_multiply_2])).
% 1.31/0.90 thf(zip_derived_cl1, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0 @ X0) = (X0))),
% 1.31/0.90 inference('cnf', [status(esa)], [ternary_multiply_1])).
% 1.31/0.90 thf(zip_derived_cl335, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((X1) = (multiply @ (inverse @ X0) @ X1 @ X0))),
% 1.31/0.90 inference('demod', [status(thm)],
% 1.31/0.90 [zip_derived_cl289, zip_derived_cl2, zip_derived_cl1])).
% 1.31/0.90 thf(zip_derived_cl335, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((X1) = (multiply @ (inverse @ X0) @ X1 @ X0))),
% 1.31/0.90 inference('demod', [status(thm)],
% 1.31/0.90 [zip_derived_cl289, zip_derived_cl2, zip_derived_cl1])).
% 1.31/0.90 thf(zip_derived_cl376, plain,
% 1.31/0.90 (((multiply @ b @
% 1.31/0.90 (inverse @ (multiply @ c @ d @ (multiply @ e @ f @ g))) @
% 1.31/0.90 (multiply @ d @ c @ (multiply @ g @ e @ f))) != (b))),
% 1.31/0.90 inference('demod', [status(thm)],
% 1.31/0.90 [zip_derived_cl211, zip_derived_cl335, zip_derived_cl335])).
% 1.31/0.90 thf(zip_derived_cl38, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X0 @ X2 @ X1)
% 1.31/0.90 = (multiply @ X0 @ X1 @ (multiply @ (inverse @ X1) @ X2 @ X1)))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl11])).
% 1.31/0.90 thf(zip_derived_cl335, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((X1) = (multiply @ (inverse @ X0) @ X1 @ X0))),
% 1.31/0.90 inference('demod', [status(thm)],
% 1.31/0.90 [zip_derived_cl289, zip_derived_cl2, zip_derived_cl1])).
% 1.31/0.90 thf(zip_derived_cl356, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X0 @ X2 @ X1) = (multiply @ X0 @ X1 @ X2))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl335])).
% 1.31/0.90 thf(zip_derived_cl396, plain,
% 1.31/0.90 (((multiply @ b @ (multiply @ d @ c @ (multiply @ g @ e @ f)) @
% 1.31/0.90 (inverse @ (multiply @ c @ d @ (multiply @ e @ f @ g)))) != (b))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl376, zip_derived_cl356])).
% 1.31/0.90 thf(zip_derived_cl194, plain,
% 1.31/0.90 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl3])).
% 1.31/0.90 thf(zip_derived_cl335, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((X1) = (multiply @ (inverse @ X0) @ X1 @ X0))),
% 1.31/0.90 inference('demod', [status(thm)],
% 1.31/0.90 [zip_derived_cl289, zip_derived_cl2, zip_derived_cl1])).
% 1.31/0.90 thf(zip_derived_cl370, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((X1) = (multiply @ X0 @ X1 @ (inverse @ X0)))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl335])).
% 1.31/0.90 thf(zip_derived_cl16, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.90 ((multiply @ X0 @ X2 @ (multiply @ X3 @ X0 @ X1))
% 1.31/0.90 = (multiply @ X3 @ X0 @ (multiply @ X0 @ X2 @ X1)))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.31/0.90 thf(zip_derived_cl380, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X1 @ X0 @ (multiply @ X2 @ X1 @ (inverse @ X1)))
% 1.31/0.90 = (multiply @ X2 @ X1 @ X0))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl370, zip_derived_cl16])).
% 1.31/0.90 thf(zip_derived_cl4, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1 @ (inverse @ X1)) = (X0))),
% 1.31/0.90 inference('cnf', [status(esa)], [right_inverse])).
% 1.31/0.90 thf(zip_derived_cl390, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X1 @ X0 @ X2) = (multiply @ X2 @ X1 @ X0))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl380, zip_derived_cl4])).
% 1.31/0.90 thf(zip_derived_cl356, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X0 @ X2 @ X1) = (multiply @ X0 @ X1 @ X2))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl335])).
% 1.31/0.90 thf(zip_derived_cl440, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X0 @ X1 @ X2) = (multiply @ X2 @ X1 @ X0))),
% 1.31/0.90 inference('sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl356])).
% 1.31/0.90 thf(zip_derived_cl390, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X1 @ X0 @ X2) = (multiply @ X2 @ X1 @ X0))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl380, zip_derived_cl4])).
% 1.31/0.90 thf(zip_derived_cl356, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X0 @ X2 @ X1) = (multiply @ X0 @ X1 @ X2))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl335])).
% 1.31/0.90 thf(zip_derived_cl390, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X1 @ X0 @ X2) = (multiply @ X2 @ X1 @ X0))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl380, zip_derived_cl4])).
% 1.31/0.90 thf(zip_derived_cl356, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ((multiply @ X0 @ X2 @ X1) = (multiply @ X0 @ X1 @ X2))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl335])).
% 1.31/0.90 thf(zip_derived_cl4, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1 @ (inverse @ X1)) = (X0))),
% 1.31/0.90 inference('cnf', [status(esa)], [right_inverse])).
% 1.31/0.90 thf(zip_derived_cl543, plain, (((b) != (b))),
% 1.31/0.90 inference('demod', [status(thm)],
% 1.31/0.90 [zip_derived_cl396, zip_derived_cl440, zip_derived_cl390,
% 1.31/0.90 zip_derived_cl356, zip_derived_cl390, zip_derived_cl356,
% 1.31/0.90 zip_derived_cl4])).
% 1.31/0.90 thf(zip_derived_cl544, plain, ($false),
% 1.31/0.90 inference('simplify', [status(thm)], [zip_derived_cl543])).
% 1.31/0.90
% 1.31/0.90 % SZS output end Refutation
% 1.31/0.90
% 1.31/0.90
% 1.31/0.91 % Terminating...
% 1.55/0.99 % Runner terminated.
% 1.55/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------