%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HEN007-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yAPhnby7b5 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 04:37:22 PM UTC 2025
% Result : Unsatisfiable 0.42s 1.09s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : HEN007-1 : TPTP v9.2.0. Released v1.0.0.
% 0.03/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yAPhnby7b5 true
% 0.14/0.37 % Computer : n020.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Oct 1 16:54:08 EDT 2025
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.38 % Running in FO mode
% 0.41/0.70 % Total configuration time : 435
% 0.41/0.70 % Estimated wc time : 1092
% 0.41/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.41/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.41/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.42/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.42/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/1.09 % Solved by fo/fo13.sh.
% 0.42/1.09 % done 760 iterations in 0.294s
% 0.42/1.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.42/1.09 % SZS output start Refutation
% 0.42/1.09 thf(divide_type, type, divide: $i > $i > $i).
% 0.42/1.09 thf(z_type, type, z: $i).
% 0.42/1.09 thf(y_type, type, y: $i).
% 0.42/1.09 thf(x_type, type, x: $i).
% 0.42/1.09 thf(less_equal_type, type, less_equal: $i > $i > $o).
% 0.42/1.09 thf(zQx_type, type, zQx: $i).
% 0.42/1.09 thf(zQy_type, type, zQy: $i).
% 0.42/1.09 thf(quotient_type, type, quotient: $i > $i > $i > $o).
% 0.42/1.09 thf(zero_type, type, zero: $i).
% 0.42/1.09 thf(prove_zQyLEzQx, conjecture, (less_equal @ zQy @ zQx)).
% 0.42/1.09 thf(zf_stmt_0, negated_conjecture, (~( less_equal @ zQy @ zQx )),
% 0.42/1.09 inference('cnf.neg', [status(esa)], [prove_zQyLEzQx])).
% 0.42/1.09 thf(zip_derived_cl12, plain, (~ (less_equal @ zQy @ zQx)),
% 0.42/1.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.42/1.09 thf(closure, axiom, (quotient @ X @ Y @ ( divide @ X @ Y ))).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zQx, axiom, (quotient @ z @ x @ zQx)).
% 0.42/1.09 thf(zip_derived_cl11, plain, ( (quotient @ z @ x @ zQx)),
% 0.42/1.09 inference('cnf', [status(esa)], [zQx])).
% 0.42/1.09 thf(divisor_existence, axiom,
% 0.42/1.09 (( ~( quotient @ X @ Y @ Z ) ) | ( less_equal @ Z @ X ))).
% 0.42/1.09 thf(zip_derived_cl2, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/1.09 (~ (quotient @ X0 @ X1 @ X2) | (less_equal @ X2 @ X0))),
% 0.42/1.09 inference('cnf', [status(esa)], [divisor_existence])).
% 0.42/1.09 thf(zip_derived_cl20, plain, ( (less_equal @ zQx @ z)),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.42/1.09 thf(quotient_less_equal, axiom,
% 0.42/1.09 (( ~( less_equal @ X @ Y ) ) | ( quotient @ X @ Y @ zero ))).
% 0.42/1.09 thf(zip_derived_cl0, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 0.42/1.09 inference('cnf', [status(esa)], [quotient_less_equal])).
% 0.42/1.09 thf(zip_derived_cl24, plain, ( (quotient @ zQx @ z @ zero)),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 0.42/1.09 thf(well_defined, axiom,
% 0.42/1.09 (( ~( quotient @ X @ Y @ Z ) ) | ( ~( quotient @ X @ Y @ W ) ) |
% 0.42/1.09 ( ( Z ) = ( W ) ))).
% 0.42/1.09 thf(zip_derived_cl8, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/1.09 (~ (quotient @ X0 @ X1 @ X2)
% 0.42/1.09 | ~ (quotient @ X0 @ X1 @ X3)
% 0.42/1.09 | ((X2) = (X3)))),
% 0.42/1.09 inference('cnf', [status(esa)], [well_defined])).
% 0.42/1.09 thf(zip_derived_cl38, plain,
% 0.42/1.09 (![X0 : $i]: (~ (quotient @ zQx @ z @ X0) | ((zero) = (X0)))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl8])).
% 0.42/1.09 thf(zip_derived_cl76, plain, (((zero) = (divide @ zQx @ z))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl38])).
% 0.42/1.09 thf(zQy, axiom, (quotient @ z @ y @ zQy)).
% 0.42/1.09 thf(zip_derived_cl10, plain, ( (quotient @ z @ y @ zQy)),
% 0.42/1.09 inference('cnf', [status(esa)], [zQy])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(quotient_property, axiom,
% 0.42/1.09 (( ~( quotient @ X @ Y @ V1 ) ) | ( ~( quotient @ Y @ Z @ V2 ) ) |
% 0.42/1.09 ( ~( quotient @ X @ Z @ V3 ) ) | ( ~( quotient @ V3 @ V2 @ V4 ) ) |
% 0.42/1.09 ( ~( quotient @ V1 @ Z @ V5 ) ) | ( less_equal @ V4 @ V5 ))).
% 0.42/1.09 thf(zip_derived_cl3, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.42/1.09 (~ (quotient @ X0 @ X1 @ X2)
% 0.42/1.09 | ~ (quotient @ X1 @ X3 @ X4)
% 0.42/1.09 | ~ (quotient @ X0 @ X3 @ X5)
% 0.42/1.09 | ~ (quotient @ X5 @ X4 @ X6)
% 0.42/1.09 | ~ (quotient @ X2 @ X3 @ X7)
% 0.42/1.09 | (less_equal @ X6 @ X7))),
% 0.42/1.09 inference('cnf', [status(esa)], [quotient_property])).
% 0.42/1.09 thf(zip_derived_cl32, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.42/1.09 (~ (quotient @ X0 @ X3 @ X2)
% 0.42/1.09 | ~ (quotient @ X1 @ X3 @ X4)
% 0.42/1.09 | ~ (quotient @ X4 @ X2 @ X5)
% 0.42/1.09 | ~ (quotient @ (divide @ X1 @ X0) @ X3 @ X6)
% 0.42/1.09 | (less_equal @ X5 @ X6))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 0.42/1.09 thf(zip_derived_cl100, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.42/1.09 (~ (quotient @ X1 @ X0 @ X3)
% 0.42/1.09 | ~ (quotient @ X2 @ X0 @ X4)
% 0.42/1.09 | ~ (quotient @ X4 @ X3 @ X5)
% 0.42/1.09 | (less_equal @ X5 @ (divide @ (divide @ X2 @ X1) @ X0)))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl32])).
% 0.42/1.09 thf(zip_derived_cl221, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/1.09 (~ (quotient @ X1 @ y @ X0)
% 0.42/1.09 | ~ (quotient @ X0 @ zQy @ X2)
% 0.42/1.09 | (less_equal @ X2 @ (divide @ (divide @ X1 @ z) @ y)))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl100])).
% 0.42/1.09 thf(zip_derived_cl1037, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (quotient @ zQx @ y @ X1)
% 0.42/1.09 | ~ (quotient @ X1 @ zQy @ X0)
% 0.42/1.09 | (less_equal @ X0 @ (divide @ zero @ y)))),
% 0.42/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl221])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl2, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/1.09 (~ (quotient @ X0 @ X1 @ X2) | (less_equal @ X2 @ X0))),
% 0.42/1.09 inference('cnf', [status(esa)], [divisor_existence])).
% 0.42/1.09 thf(zip_derived_cl21, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X1 @ X0) @ X1)),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.42/1.09 thf(zero_is_smallest, axiom, (less_equal @ zero @ X)).
% 0.42/1.09 thf(zip_derived_cl4, plain, (![X0 : $i]: (less_equal @ zero @ X0)),
% 0.42/1.09 inference('cnf', [status(esa)], [zero_is_smallest])).
% 0.42/1.09 thf(less_equal_and_equal, axiom,
% 0.42/1.09 (( ~( less_equal @ X @ Y ) ) | ( ~( less_equal @ Y @ X ) ) |
% 0.42/1.09 ( ( X ) = ( Y ) ))).
% 0.42/1.09 thf(zip_derived_cl5, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.42/1.09 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.42/1.09 thf(zip_derived_cl17, plain,
% 0.42/1.09 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.42/1.09 thf(zip_derived_cl69, plain, (![X0 : $i]: ((zero) = (divide @ zero @ X0))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl17])).
% 0.42/1.09 thf(zip_derived_cl1045, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (quotient @ zQx @ y @ X1)
% 0.42/1.09 | ~ (quotient @ X1 @ zQy @ X0)
% 0.42/1.09 | (less_equal @ X0 @ zero))),
% 0.42/1.09 inference('demod', [status(thm)], [zip_derived_cl1037, zip_derived_cl69])).
% 0.42/1.09 thf(zip_derived_cl1087, plain,
% 0.42/1.09 (![X0 : $i]:
% 0.42/1.09 (~ (quotient @ (divide @ zQx @ y) @ zQy @ X0)
% 0.42/1.09 | (less_equal @ X0 @ zero))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1045])).
% 0.42/1.09 thf(zip_derived_cl1088, plain,
% 0.42/1.09 ( (less_equal @ (divide @ (divide @ zQx @ y) @ zQy) @ zero)),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1087])).
% 0.42/1.09 thf(zip_derived_cl17, plain,
% 0.42/1.09 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.42/1.09 thf(zip_derived_cl1091, plain,
% 0.42/1.09 (((zero) = (divide @ (divide @ zQx @ y) @ zQy))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl1088, zip_derived_cl17])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl1112, plain,
% 0.42/1.09 ( (quotient @ (divide @ zQx @ y) @ zQy @ zero)),
% 0.42/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl1091, zip_derived_cl7])).
% 0.42/1.09 thf(less_equal_quotient, axiom,
% 0.42/1.09 (( ~( quotient @ X @ Y @ zero ) ) | ( less_equal @ X @ Y ))).
% 0.42/1.09 thf(zip_derived_cl1, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (quotient @ X0 @ X1 @ zero) | (less_equal @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [less_equal_quotient])).
% 0.42/1.09 thf(zip_derived_cl1139, plain, ( (less_equal @ (divide @ zQx @ y) @ zQy)),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl1112, zip_derived_cl1])).
% 0.42/1.09 thf(zip_derived_cl5, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (less_equal @ X0 @ X1) | ~ (less_equal @ X1 @ X0) | ((X0) = (X1)))),
% 0.42/1.09 inference('cnf', [status(esa)], [less_equal_and_equal])).
% 0.42/1.09 thf(zip_derived_cl1144, plain,
% 0.42/1.09 ((~ (less_equal @ zQy @ (divide @ zQx @ y))
% 0.42/1.09 | ((divide @ zQx @ y) = (zQy)))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl1139, zip_derived_cl5])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl10, plain, ( (quotient @ z @ y @ zQy)),
% 0.42/1.09 inference('cnf', [status(esa)], [zQy])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl11, plain, ( (quotient @ z @ x @ zQx)),
% 0.42/1.09 inference('cnf', [status(esa)], [zQx])).
% 0.42/1.09 thf(zip_derived_cl3, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.42/1.09 (~ (quotient @ X0 @ X1 @ X2)
% 0.42/1.09 | ~ (quotient @ X1 @ X3 @ X4)
% 0.42/1.09 | ~ (quotient @ X0 @ X3 @ X5)
% 0.42/1.09 | ~ (quotient @ X5 @ X4 @ X6)
% 0.42/1.09 | ~ (quotient @ X2 @ X3 @ X7)
% 0.42/1.09 | (less_equal @ X6 @ X7))),
% 0.42/1.09 inference('cnf', [status(esa)], [quotient_property])).
% 0.42/1.09 thf(zip_derived_cl33, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.42/1.09 (~ (quotient @ x @ X1 @ X0)
% 0.42/1.09 | ~ (quotient @ z @ X1 @ X2)
% 0.42/1.09 | ~ (quotient @ X2 @ X0 @ X3)
% 0.42/1.09 | ~ (quotient @ zQx @ X1 @ X4)
% 0.42/1.09 | (less_equal @ X3 @ X4))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 0.42/1.09 thf(zip_derived_cl111, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/1.09 (~ (quotient @ z @ X0 @ X1)
% 0.42/1.09 | ~ (quotient @ X1 @ (divide @ x @ X0) @ X2)
% 0.42/1.09 | ~ (quotient @ zQx @ X0 @ X3)
% 0.42/1.09 | (less_equal @ X2 @ X3))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl33])).
% 0.42/1.09 thf(zip_derived_cl404, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (quotient @ zQy @ (divide @ x @ y) @ X0)
% 0.42/1.09 | ~ (quotient @ zQx @ y @ X1)
% 0.42/1.09 | (less_equal @ X0 @ X1))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl111])).
% 0.42/1.09 thf(xLEy, axiom, (less_equal @ x @ y)).
% 0.42/1.09 thf(zip_derived_cl9, plain, ( (less_equal @ x @ y)),
% 0.42/1.09 inference('cnf', [status(esa)], [xLEy])).
% 0.42/1.09 thf(zip_derived_cl0, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 0.42/1.09 inference('cnf', [status(esa)], [quotient_less_equal])).
% 0.42/1.09 thf(zip_derived_cl15, plain, ( (quotient @ x @ y @ zero)),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl8, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/1.09 (~ (quotient @ X0 @ X1 @ X2)
% 0.42/1.09 | ~ (quotient @ X0 @ X1 @ X3)
% 0.42/1.09 | ((X2) = (X3)))),
% 0.42/1.09 inference('cnf', [status(esa)], [well_defined])).
% 0.42/1.09 thf(zip_derived_cl28, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/1.09 (~ (quotient @ X1 @ X0 @ X2) | ((divide @ X1 @ X0) = (X2)))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 0.42/1.09 thf(zip_derived_cl83, plain, (((divide @ x @ y) = (zero))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl28])).
% 0.42/1.09 thf(zip_derived_cl406, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (quotient @ zQy @ zero @ X0)
% 0.42/1.09 | ~ (quotient @ zQx @ y @ X1)
% 0.42/1.09 | (less_equal @ X0 @ X1))),
% 0.42/1.09 inference('demod', [status(thm)], [zip_derived_cl404, zip_derived_cl83])).
% 0.42/1.09 thf(zip_derived_cl416, plain,
% 0.42/1.09 (![X0 : $i]:
% 0.42/1.09 (~ (quotient @ zQx @ y @ X0)
% 0.42/1.09 | (less_equal @ (divide @ zQy @ zero) @ X0))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl406])).
% 0.42/1.09 thf(zip_derived_cl417, plain,
% 0.42/1.09 ( (less_equal @ (divide @ zQy @ zero) @ (divide @ zQx @ y))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl416])).
% 0.42/1.09 thf(zip_derived_cl0, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (less_equal @ X0 @ X1) | (quotient @ X0 @ X1 @ zero))),
% 0.42/1.09 inference('cnf', [status(esa)], [quotient_less_equal])).
% 0.42/1.09 thf(zip_derived_cl418, plain,
% 0.42/1.09 ( (quotient @ (divide @ zQy @ zero) @ (divide @ zQx @ y) @ zero)),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl417, zip_derived_cl0])).
% 0.42/1.09 thf(zip_derived_cl28, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/1.09 (~ (quotient @ X1 @ X0 @ X2) | ((divide @ X1 @ X0) = (X2)))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 0.42/1.09 thf(zip_derived_cl423, plain,
% 0.42/1.09 (((divide @ (divide @ zQy @ zero) @ (divide @ zQx @ y)) = (zero))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl418, zip_derived_cl28])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl100, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.42/1.09 (~ (quotient @ X1 @ X0 @ X3)
% 0.42/1.09 | ~ (quotient @ X2 @ X0 @ X4)
% 0.42/1.09 | ~ (quotient @ X4 @ X3 @ X5)
% 0.42/1.09 | (less_equal @ X5 @ (divide @ (divide @ X2 @ X1) @ X0)))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl32])).
% 0.42/1.09 thf(zip_derived_cl214, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.42/1.09 (~ (quotient @ X3 @ X0 @ X2)
% 0.42/1.09 | ~ (quotient @ X2 @ (divide @ X1 @ X0) @ X4)
% 0.42/1.09 | (less_equal @ X4 @ (divide @ (divide @ X3 @ X1) @ X0)))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl100])).
% 0.42/1.09 thf(zip_derived_cl856, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (quotient @ zQy @ (divide @ zQx @ y) @ X1)
% 0.42/1.09 | ~ (quotient @ X1 @ (divide @ zero @ (divide @ zQx @ y)) @ X0)
% 0.42/1.09 | (less_equal @ X0 @ zero))),
% 0.42/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl423, zip_derived_cl214])).
% 0.42/1.09 thf(zip_derived_cl69, plain, (![X0 : $i]: ((zero) = (divide @ zero @ X0))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl17])).
% 0.42/1.09 thf(zip_derived_cl878, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (quotient @ zQy @ (divide @ zQx @ y) @ X1)
% 0.42/1.09 | ~ (quotient @ X1 @ zero @ X0)
% 0.42/1.09 | (less_equal @ X0 @ zero))),
% 0.42/1.09 inference('demod', [status(thm)], [zip_derived_cl856, zip_derived_cl69])).
% 0.42/1.09 thf(zip_derived_cl1317, plain,
% 0.42/1.09 (![X0 : $i]:
% 0.42/1.09 (~ (quotient @ zQy @ (divide @ zQx @ y) @ X0)
% 0.42/1.09 | (less_equal @ (divide @ X0 @ zero) @ zero))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl878])).
% 0.42/1.09 thf(zip_derived_cl1323, plain,
% 0.42/1.09 ( (less_equal @ (divide @ (divide @ zQy @ (divide @ zQx @ y)) @ zero) @
% 0.42/1.09 zero)),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1317])).
% 0.42/1.09 thf(zip_derived_cl17, plain,
% 0.42/1.09 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.42/1.09 thf(zip_derived_cl1332, plain,
% 0.42/1.09 (((zero) = (divide @ (divide @ zQy @ (divide @ zQx @ y)) @ zero))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl1323, zip_derived_cl17])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl1335, plain,
% 0.42/1.09 ( (quotient @ (divide @ zQy @ (divide @ zQx @ y)) @ zero @ zero)),
% 0.42/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl1332, zip_derived_cl7])).
% 0.42/1.09 thf(zip_derived_cl1, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (quotient @ X0 @ X1 @ zero) | (less_equal @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [less_equal_quotient])).
% 0.42/1.09 thf(zip_derived_cl1379, plain,
% 0.42/1.09 ( (less_equal @ (divide @ zQy @ (divide @ zQx @ y)) @ zero)),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl1335, zip_derived_cl1])).
% 0.42/1.09 thf(zip_derived_cl17, plain,
% 0.42/1.09 (![X0 : $i]: (~ (less_equal @ X0 @ zero) | ((zero) = (X0)))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.42/1.09 thf(zip_derived_cl1393, plain,
% 0.42/1.09 (((zero) = (divide @ zQy @ (divide @ zQx @ y)))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl1379, zip_derived_cl17])).
% 0.42/1.09 thf(zip_derived_cl7, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (quotient @ X0 @ X1 @ (divide @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [closure])).
% 0.42/1.09 thf(zip_derived_cl1399, plain,
% 0.42/1.09 ( (quotient @ zQy @ (divide @ zQx @ y) @ zero)),
% 0.42/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl1393, zip_derived_cl7])).
% 0.42/1.09 thf(zip_derived_cl1, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]:
% 0.42/1.09 (~ (quotient @ X0 @ X1 @ zero) | (less_equal @ X0 @ X1))),
% 0.42/1.09 inference('cnf', [status(esa)], [less_equal_quotient])).
% 0.42/1.09 thf(zip_derived_cl1441, plain, ( (less_equal @ zQy @ (divide @ zQx @ y))),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl1399, zip_derived_cl1])).
% 0.42/1.09 thf(zip_derived_cl1449, plain, (((divide @ zQx @ y) = (zQy))),
% 0.42/1.09 inference('demod', [status(thm)],
% 0.42/1.09 [zip_derived_cl1144, zip_derived_cl1441])).
% 0.42/1.09 thf(zip_derived_cl21, plain,
% 0.42/1.09 (![X0 : $i, X1 : $i]: (less_equal @ (divide @ X1 @ X0) @ X1)),
% 0.42/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.42/1.09 thf(zip_derived_cl1478, plain, ( (less_equal @ zQy @ zQx)),
% 0.42/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl21])).
% 0.42/1.09 thf(zip_derived_cl1487, plain, ($false),
% 0.42/1.09 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl1478])).
% 0.42/1.09
% 0.42/1.09 % SZS output end Refutation
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 % Terminating...
% 0.42/1.19 % Runner terminated.
% 0.42/1.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------