%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP092-1 : 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.pL7bWuP9zy true
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:35:36 PM UTC 2025
% Result : Unsatisfiable 0.55s 0.88s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP092-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.05/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pL7bWuP9zy true
% 0.09/0.31 % Computer : n007.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Wed Oct 1 14:18:08 EDT 2025
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Running portfolio for 300 s
% 0.09/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.31 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in FO mode
% 0.42/0.53 % Total configuration time : 435
% 0.42/0.53 % Estimated wc time : 1092
% 0.42/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.64 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.64 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.64 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.64 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.64 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.64 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.65 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.88 % Solved by fo/fo13.sh.
% 0.55/0.88 % done 117 iterations in 0.209s
% 0.55/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.88 % SZS output start Refutation
% 0.55/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.55/0.88 thf(b4_type, type, b4: $i).
% 0.55/0.88 thf(a1_type, type, a1: $i).
% 0.55/0.88 thf(a4_type, type, a4: $i).
% 0.55/0.88 thf(b2_type, type, b2: $i).
% 0.55/0.88 thf(identity_type, type, identity: $i).
% 0.55/0.88 thf(divide_type, type, divide: $i > $i > $i).
% 0.55/0.88 thf(inverse_type, type, inverse: $i > $i).
% 0.55/0.88 thf(a3_type, type, a3: $i).
% 0.55/0.88 thf(a2_type, type, a2: $i).
% 0.55/0.88 thf(c3_type, type, c3: $i).
% 0.55/0.88 thf(b1_type, type, b1: $i).
% 0.55/0.88 thf(b3_type, type, b3: $i).
% 0.55/0.88 thf(prove_these_axioms, conjecture,
% 0.55/0.88 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 0.55/0.88 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.55/0.88 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 0.55/0.88 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 0.55/0.88 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.55/0.88 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 0.55/0.88 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.88 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 0.55/0.88 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.55/0.88 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 0.55/0.88 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 0.55/0.88 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.55/0.88 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 0.55/0.88 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 0.55/0.88 thf(zip_derived_cl4, plain,
% 0.55/0.88 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 0.55/0.88 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.55/0.88 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 0.55/0.88 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.88 thf(inverse, axiom, (( inverse @ X ) = ( divide @ ( divide @ Z @ Z ) @ X ))).
% 0.55/0.88 thf(zip_derived_cl2, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.55/0.88 inference('cnf', [status(esa)], [inverse])).
% 0.55/0.88 thf(identity, axiom, (( identity ) = ( divide @ X @ X ))).
% 0.55/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [identity])).
% 0.55/0.88 thf(zip_derived_cl5, plain,
% 0.55/0.88 (![X1 : $i]: ((inverse @ X1) = (divide @ identity @ X1))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl5, plain,
% 0.55/0.88 (![X1 : $i]: ((inverse @ X1) = (divide @ identity @ X1))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl5, plain,
% 0.55/0.88 (![X1 : $i]: ((inverse @ X1) = (divide @ identity @ X1))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl6, plain,
% 0.55/0.88 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 0.55/0.88 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.55/0.88 | ((multiply @ (multiply @ (divide @ identity @ b2) @ b2) @ a2) != (a2))
% 0.55/0.88 | ((multiply @ (divide @ identity @ a1) @ a1)
% 0.55/0.88 != (multiply @ (divide @ identity @ b1) @ b1)))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl4, zip_derived_cl5, zip_derived_cl5,
% 0.55/0.88 zip_derived_cl5])).
% 0.55/0.88 thf(multiply, axiom,
% 0.55/0.88 (( multiply @ X @ Y ) =
% 0.55/0.88 ( divide @ X @ ( divide @ ( divide @ Z @ Z ) @ Y ) ))).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X2)
% 0.55/0.88 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [identity])).
% 0.55/0.88 thf(zip_derived_cl7, plain,
% 0.55/0.88 (![X0 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [identity])).
% 0.55/0.88 thf(zip_derived_cl8, plain,
% 0.55/0.88 (![X0 : $i]: ((identity) = (multiply @ (divide @ identity @ X0) @ X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl8, plain,
% 0.55/0.88 (![X0 : $i]: ((identity) = (multiply @ (divide @ identity @ X0) @ X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl8, plain,
% 0.55/0.88 (![X0 : $i]: ((identity) = (multiply @ (divide @ identity @ X0) @ X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl33, plain,
% 0.55/0.88 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 0.55/0.88 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.55/0.88 | ((multiply @ identity @ a2) != (a2))
% 0.55/0.88 | ((identity) != (identity)))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl6, zip_derived_cl8, zip_derived_cl8,
% 0.55/0.88 zip_derived_cl8])).
% 0.55/0.88 thf(zip_derived_cl34, plain,
% 0.55/0.88 ((((multiply @ identity @ a2) != (a2))
% 0.55/0.88 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.55/0.88 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 0.55/0.88 inference('simplify', [status(thm)], [zip_derived_cl33])).
% 0.55/0.88 thf(single_axiom, axiom,
% 0.55/0.88 (( divide @ ( divide @ X @ Y ) @ ( divide @ ( divide @ X @ Z ) @ Y ) ) =
% 0.55/0.88 ( Z ))).
% 0.55/0.88 thf(zip_derived_cl0, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @ (divide @ X1 @ X2) @ (divide @ (divide @ X1 @ X0) @ X2))
% 0.55/0.88 = (X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.55/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [identity])).
% 0.55/0.88 thf(zip_derived_cl0, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @ (divide @ X1 @ X2) @ (divide @ (divide @ X1 @ X0) @ X2))
% 0.55/0.88 = (X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.55/0.88 thf(zip_derived_cl15, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ (divide @ X1 @ (divide @ X1 @ X0)) @ identity) = (X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.55/0.88 thf(zip_derived_cl54, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl15])).
% 0.55/0.88 thf(zip_derived_cl7, plain,
% 0.55/0.88 (![X0 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl15, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ (divide @ X1 @ (divide @ X1 @ X0)) @ identity) = (X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.55/0.88 thf(zip_derived_cl53, plain,
% 0.55/0.88 (![X0 : $i]: ((divide @ (multiply @ identity @ X0) @ identity) = (X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl15])).
% 0.55/0.88 thf(zip_derived_cl82, plain,
% 0.55/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl53])).
% 0.55/0.88 thf(zip_derived_cl87, plain,
% 0.55/0.88 ((((a2) != (a2))
% 0.55/0.88 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.55/0.88 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl82])).
% 0.55/0.88 thf(zip_derived_cl88, plain,
% 0.55/0.88 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 0.55/0.88 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 0.55/0.88 inference('simplify', [status(thm)], [zip_derived_cl87])).
% 0.55/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [identity])).
% 0.55/0.88 thf(zip_derived_cl0, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @ (divide @ X1 @ X2) @ (divide @ (divide @ X1 @ X0) @ X2))
% 0.55/0.88 = (X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.55/0.88 thf(zip_derived_cl54, plain, (![X0 : $i]: ((divide @ X0 @ identity) = (X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl15])).
% 0.55/0.88 thf(zip_derived_cl15, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ (divide @ X1 @ (divide @ X1 @ X0)) @ identity) = (X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.55/0.88 thf(zip_derived_cl68, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl15])).
% 0.55/0.88 thf(zip_derived_cl102, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @ (divide @ X2 @ X1) @ X0)
% 0.55/0.88 = (divide @ (divide @ X2 @ X0) @ X1))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl68])).
% 0.55/0.88 thf(zip_derived_cl7, plain,
% 0.55/0.88 (![X0 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl256, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ (divide @ X2 @ X0) @ X1)
% 0.55/0.88 = (divide @ (divide @ X2 @ (divide @ identity @ X1)) @ X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl7])).
% 0.55/0.88 thf(zip_derived_cl7, plain,
% 0.55/0.88 (![X0 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl299, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ (divide @ X2 @ X0) @ X1)
% 0.55/0.88 = (divide @ (multiply @ X2 @ X1) @ X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl7])).
% 0.55/0.88 thf(zip_derived_cl313, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ identity @ X1) = (divide @ (multiply @ X0 @ X1) @ X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl299])).
% 0.55/0.88 thf(zip_derived_cl82, plain,
% 0.55/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl53])).
% 0.55/0.88 thf(zip_derived_cl323, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]: ((X1) = (divide @ (multiply @ X0 @ X1) @ X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl313, zip_derived_cl82])).
% 0.55/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [identity])).
% 0.55/0.88 thf(zip_derived_cl102, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @ (divide @ X2 @ X1) @ X0)
% 0.55/0.88 = (divide @ (divide @ X2 @ X0) @ X1))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl68])).
% 0.55/0.88 thf(zip_derived_cl279, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ identity @ X1) = (divide @ (divide @ X0 @ X1) @ X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl102])).
% 0.55/0.88 thf(zip_derived_cl465, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ identity @ X1) = (divide @ X0 @ (multiply @ X1 @ X0)))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl323, zip_derived_cl279])).
% 0.55/0.88 thf(zip_derived_cl68, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl15])).
% 0.55/0.88 thf(zip_derived_cl481, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ X1 @ (divide @ identity @ X0)) = (multiply @ X0 @ X1))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl465, zip_derived_cl68])).
% 0.55/0.88 thf(zip_derived_cl7, plain,
% 0.55/0.88 (![X0 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X2) = (divide @ X0 @ (divide @ identity @ X2)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl529, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl481, zip_derived_cl7])).
% 0.55/0.88 thf(zip_derived_cl529, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl481, zip_derived_cl7])).
% 0.55/0.88 thf(zip_derived_cl653, plain,
% 0.55/0.88 ((((multiply @ a4 @ b4) != (multiply @ a4 @ b4))
% 0.55/0.88 | ((multiply @ c3 @ (multiply @ a3 @ b3))
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl88, zip_derived_cl529, zip_derived_cl529])).
% 0.55/0.88 thf(zip_derived_cl654, plain,
% 0.55/0.88 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.55/0.88 inference('simplify', [status(thm)], [zip_derived_cl653])).
% 0.55/0.88 thf(zip_derived_cl481, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ X1 @ (divide @ identity @ X0)) = (multiply @ X0 @ X1))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl465, zip_derived_cl68])).
% 0.55/0.88 thf(zip_derived_cl299, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ (divide @ X2 @ X0) @ X1)
% 0.55/0.88 = (divide @ (multiply @ X2 @ X1) @ X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl7])).
% 0.55/0.88 thf(zip_derived_cl524, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 0.55/0.88 = (divide @ (multiply @ X0 @ X2) @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl481, zip_derived_cl299])).
% 0.55/0.88 thf(zip_derived_cl481, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ X1 @ (divide @ identity @ X0)) = (multiply @ X0 @ X1))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl465, zip_derived_cl68])).
% 0.55/0.88 thf(zip_derived_cl565, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 0.55/0.88 = (multiply @ X1 @ (multiply @ X0 @ X2)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl524, zip_derived_cl481])).
% 0.55/0.88 thf(zip_derived_cl529, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl481, zip_derived_cl7])).
% 0.55/0.88 thf(zip_derived_cl813, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 0.55/0.88 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 0.55/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl565, zip_derived_cl529])).
% 0.55/0.88 thf(zip_derived_cl837, plain,
% 0.55/0.88 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl654, zip_derived_cl813])).
% 0.55/0.88 thf(zip_derived_cl838, plain, ($false),
% 0.55/0.88 inference('simplify', [status(thm)], [zip_derived_cl837])).
% 0.55/0.88
% 0.55/0.88 % SZS output end Refutation
% 0.55/0.88
% 0.55/0.88
% 0.55/0.88 % Terminating...
% 0.59/0.96 % Runner terminated.
% 0.59/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------