TSTP Solution File: NUM017-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM017-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7mKU5VLUeY true
% Computer : n009.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 Aug 31 12:38:59 EDT 2023
% Result : Unsatisfiable 7.81s 1.73s
% Output : Refutation 7.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM017-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7mKU5VLUeY true
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 08:39:51 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.52/0.64 % Total configuration time : 435
% 0.52/0.64 % Estimated wc time : 1092
% 0.52/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.81/1.73 % Solved by fo/fo13.sh.
% 7.81/1.73 % done 1109 iterations in 0.947s
% 7.81/1.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.81/1.73 % SZS output start Refutation
% 7.81/1.73 thf(divides_type, type, divides: $i > $i > $o).
% 7.81/1.73 thf(product_type, type, product: $i > $i > $i > $o).
% 7.81/1.73 thf(c_type, type, c: $i).
% 7.81/1.73 thf(a_type, type, a: $i).
% 7.81/1.73 thf(e_type, type, e: $i).
% 7.81/1.73 thf(d_type, type, d: $i).
% 7.81/1.73 thf(prime_type, type, prime: $i > $o).
% 7.81/1.73 thf(second_divided_by_1st_type, type, second_divided_by_1st: $i > $i > $i).
% 7.81/1.73 thf(b_type, type, b: $i).
% 7.81/1.73 thf(multiply_type, type, multiply: $i > $i > $i).
% 7.81/1.73 thf(closure_of_product, axiom, (product @ A @ B @ ( multiply @ A @ B ))).
% 7.81/1.73 thf(zip_derived_cl0, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 7.81/1.73 inference('cnf', [status(esa)], [closure_of_product])).
% 7.81/1.73 thf(product_divisible_by_operand, axiom,
% 7.81/1.73 (( ~( product @ A @ B @ C ) ) | ( divides @ A @ C ))).
% 7.81/1.73 thf(zip_derived_cl8, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2) | (divides @ X0 @ X2))),
% 7.81/1.73 inference('cnf', [status(esa)], [product_divisible_by_operand])).
% 7.81/1.73 thf(zip_derived_cl15, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (divides @ X1 @ (multiply @ X1 @ X0))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl8])).
% 7.81/1.73 thf(zip_derived_cl0, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 7.81/1.73 inference('cnf', [status(esa)], [closure_of_product])).
% 7.81/1.73 thf(primes_lemma1, axiom,
% 7.81/1.73 (( ~( divides @ A @ B ) ) | ( ~( product @ C @ C @ B ) ) |
% 7.81/1.73 ( ~( prime @ A ) ) | ( divides @ A @ C ))).
% 7.81/1.73 thf(zip_derived_cl9, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.81/1.73 (~ (divides @ X0 @ X1)
% 7.81/1.73 | ~ (product @ X2 @ X2 @ X1)
% 7.81/1.73 | ~ (prime @ X0)
% 7.81/1.73 | (divides @ X0 @ X2))),
% 7.81/1.73 inference('cnf', [status(esa)], [primes_lemma1])).
% 7.81/1.73 thf(zip_derived_cl33, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]:
% 7.81/1.73 (~ (divides @ X1 @ (multiply @ X0 @ X0))
% 7.81/1.73 | ~ (prime @ X1)
% 7.81/1.73 | (divides @ X1 @ X0))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl9])).
% 7.81/1.73 thf(zip_derived_cl158, plain,
% 7.81/1.73 (![X0 : $i]: (~ (prime @ X0) | (divides @ X0 @ X0))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl33])).
% 7.81/1.73 thf(a_is_prime, axiom, (prime @ a)).
% 7.81/1.73 thf(zip_derived_cl10, plain, ( (prime @ a)),
% 7.81/1.73 inference('cnf', [status(esa)], [a_is_prime])).
% 7.81/1.73 thf(zip_derived_cl172, plain, ( (divides @ a @ a)),
% 7.81/1.73 inference('s_sup+', [status(thm)], [zip_derived_cl158, zip_derived_cl10])).
% 7.81/1.73 thf(divides_implies_product, axiom,
% 7.81/1.73 (( ~( divides @ A @ B ) ) |
% 7.81/1.73 ( product @ A @ ( second_divided_by_1st @ A @ B ) @ B ))).
% 7.81/1.73 thf(zip_derived_cl7, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]:
% 7.81/1.73 (~ (divides @ X0 @ X1)
% 7.81/1.73 | (product @ X0 @ (second_divided_by_1st @ X0 @ X1) @ X1))),
% 7.81/1.73 inference('cnf', [status(esa)], [divides_implies_product])).
% 7.81/1.73 thf(zip_derived_cl180, plain,
% 7.81/1.73 ( (product @ a @ (second_divided_by_1st @ a @ a) @ a)),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl7])).
% 7.81/1.73 thf(zip_derived_cl0, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 7.81/1.73 inference('cnf', [status(esa)], [closure_of_product])).
% 7.81/1.73 thf(zip_derived_cl0, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 7.81/1.73 inference('cnf', [status(esa)], [closure_of_product])).
% 7.81/1.73 thf(product_associativity1, axiom,
% 7.81/1.73 (( ~( product @ A @ B @ C ) ) | ( ~( product @ D @ E @ B ) ) |
% 7.81/1.73 ( ~( product @ A @ D @ F ) ) | ( product @ F @ E @ C ))).
% 7.81/1.73 thf(zip_derived_cl1, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2)
% 7.81/1.73 | ~ (product @ X3 @ X4 @ X1)
% 7.81/1.73 | ~ (product @ X0 @ X3 @ X5)
% 7.81/1.73 | (product @ X5 @ X4 @ X2))),
% 7.81/1.73 inference('cnf', [status(esa)], [product_associativity1])).
% 7.81/1.73 thf(zip_derived_cl20, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.81/1.73 (~ (product @ X3 @ X2 @ X0)
% 7.81/1.73 | ~ (product @ X1 @ X3 @ X4)
% 7.81/1.73 | (product @ X4 @ X2 @ (multiply @ X1 @ X0)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 7.81/1.73 thf(zip_derived_cl62, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.81/1.73 (~ (product @ X3 @ X1 @ X2)
% 7.81/1.73 | (product @ X2 @ X0 @ (multiply @ X3 @ (multiply @ X1 @ X0))))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl20])).
% 7.81/1.73 thf(zip_derived_cl350, plain,
% 7.81/1.73 (![X0 : $i]:
% 7.81/1.73 (product @ a @ X0 @
% 7.81/1.73 (multiply @ a @ (multiply @ (second_divided_by_1st @ a @ a) @ X0)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl180, zip_derived_cl62])).
% 7.81/1.73 thf(zip_derived_cl0, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 7.81/1.73 inference('cnf', [status(esa)], [closure_of_product])).
% 7.81/1.73 thf(product_left_cancellation, axiom,
% 7.81/1.73 (( ~( product @ A @ B @ C ) ) | ( ~( product @ A @ D @ C ) ) |
% 7.81/1.73 ( ( B ) = ( D ) ))).
% 7.81/1.73 thf(zip_derived_cl4, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2)
% 7.81/1.73 | ~ (product @ X0 @ X3 @ X2)
% 7.81/1.73 | ((X1) = (X3)))),
% 7.81/1.73 inference('cnf', [status(esa)], [product_left_cancellation])).
% 7.81/1.73 thf(zip_derived_cl24, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.81/1.73 (~ (product @ X1 @ X2 @ (multiply @ X1 @ X0)) | ((X0) = (X2)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 7.81/1.73 thf(zip_derived_cl5282, plain,
% 7.81/1.73 (![X0 : $i]: ((multiply @ (second_divided_by_1st @ a @ a) @ X0) = (X0))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl350, zip_derived_cl24])).
% 7.81/1.73 thf(zip_derived_cl0, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 7.81/1.73 inference('cnf', [status(esa)], [closure_of_product])).
% 7.81/1.73 thf(c_squared, axiom, (product @ c @ c @ e)).
% 7.81/1.73 thf(zip_derived_cl12, plain, ( (product @ c @ c @ e)),
% 7.81/1.73 inference('cnf', [status(esa)], [c_squared])).
% 7.81/1.73 thf(well_defined_product, axiom,
% 7.81/1.73 (( ~( product @ A @ B @ C ) ) | ( ~( product @ A @ B @ D ) ) |
% 7.81/1.73 ( ( D ) = ( C ) ))).
% 7.81/1.73 thf(zip_derived_cl6, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2)
% 7.81/1.73 | ~ (product @ X0 @ X1 @ X3)
% 7.81/1.73 | ((X3) = (X2)))),
% 7.81/1.73 inference('cnf', [status(esa)], [well_defined_product])).
% 7.81/1.73 thf(zip_derived_cl29, plain,
% 7.81/1.73 (![X0 : $i]: (~ (product @ c @ c @ X0) | ((X0) = (e)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl6])).
% 7.81/1.73 thf(zip_derived_cl48, plain, (((multiply @ c @ c) = (e))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl29])).
% 7.81/1.73 thf(zip_derived_cl0, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 7.81/1.73 inference('cnf', [status(esa)], [closure_of_product])).
% 7.81/1.73 thf(zip_derived_cl62, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.81/1.73 (~ (product @ X3 @ X1 @ X2)
% 7.81/1.73 | (product @ X2 @ X0 @ (multiply @ X3 @ (multiply @ X1 @ X0))))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl20])).
% 7.81/1.73 thf(zip_derived_cl256, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.81/1.73 (product @ (multiply @ X1 @ X0) @ X2 @
% 7.81/1.73 (multiply @ X1 @ (multiply @ X0 @ X2)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl62])).
% 7.81/1.73 thf(zip_derived_cl0, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 7.81/1.73 inference('cnf', [status(esa)], [closure_of_product])).
% 7.81/1.73 thf(product_commutativity, axiom,
% 7.81/1.73 (( ~( product @ A @ B @ C ) ) | ( product @ B @ A @ C ))).
% 7.81/1.73 thf(zip_derived_cl3, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2) | (product @ X1 @ X0 @ X2))),
% 7.81/1.73 inference('cnf', [status(esa)], [product_commutativity])).
% 7.81/1.73 thf(zip_derived_cl30, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X1 @ X0))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 7.81/1.73 thf(zip_derived_cl6, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2)
% 7.81/1.73 | ~ (product @ X0 @ X1 @ X3)
% 7.81/1.73 | ((X3) = (X2)))),
% 7.81/1.73 inference('cnf', [status(esa)], [well_defined_product])).
% 7.81/1.73 thf(zip_derived_cl87, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2) | ((X2) = (multiply @ X1 @ X0)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl6])).
% 7.81/1.73 thf(zip_derived_cl1466, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.81/1.73 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 7.81/1.73 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl256, zip_derived_cl87])).
% 7.81/1.73 thf(zip_derived_cl1794, plain,
% 7.81/1.73 (![X0 : $i]: ((multiply @ c @ (multiply @ c @ X0)) = (multiply @ X0 @ e))),
% 7.81/1.73 inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl1466])).
% 7.81/1.73 thf(zip_derived_cl15, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (divides @ X1 @ (multiply @ X1 @ X0))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl8])).
% 7.81/1.73 thf(zip_derived_cl7, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]:
% 7.81/1.73 (~ (divides @ X0 @ X1)
% 7.81/1.73 | (product @ X0 @ (second_divided_by_1st @ X0 @ X1) @ X1))),
% 7.81/1.73 inference('cnf', [status(esa)], [divides_implies_product])).
% 7.81/1.73 thf(zip_derived_cl36, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]:
% 7.81/1.73 (product @ X1 @
% 7.81/1.73 (second_divided_by_1st @ X1 @ (multiply @ X1 @ X0)) @
% 7.81/1.73 (multiply @ X1 @ X0))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl7])).
% 7.81/1.73 thf(zip_derived_cl24, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.81/1.73 (~ (product @ X1 @ X2 @ (multiply @ X1 @ X0)) | ((X0) = (X2)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 7.81/1.73 thf(zip_derived_cl190, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]:
% 7.81/1.73 ((X0) = (second_divided_by_1st @ X1 @ (multiply @ X1 @ X0)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl24])).
% 7.81/1.73 thf(zip_derived_cl2125, plain,
% 7.81/1.73 (![X0 : $i]:
% 7.81/1.73 ((multiply @ c @ X0)
% 7.81/1.73 = (second_divided_by_1st @ c @ (multiply @ X0 @ e)))),
% 7.81/1.73 inference('s_sup+', [status(thm)],
% 7.81/1.73 [zip_derived_cl1794, zip_derived_cl190])).
% 7.81/1.73 thf(zip_derived_cl5494, plain,
% 7.81/1.73 (((multiply @ c @ (second_divided_by_1st @ a @ a))
% 7.81/1.73 = (second_divided_by_1st @ c @ e))),
% 7.81/1.73 inference('s_sup+', [status(thm)],
% 7.81/1.73 [zip_derived_cl5282, zip_derived_cl2125])).
% 7.81/1.73 thf(zip_derived_cl12, plain, ( (product @ c @ c @ e)),
% 7.81/1.73 inference('cnf', [status(esa)], [c_squared])).
% 7.81/1.73 thf(zip_derived_cl8, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2) | (divides @ X0 @ X2))),
% 7.81/1.73 inference('cnf', [status(esa)], [product_divisible_by_operand])).
% 7.81/1.73 thf(zip_derived_cl17, plain, ( (divides @ c @ e)),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl8])).
% 7.81/1.73 thf(zip_derived_cl7, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]:
% 7.81/1.73 (~ (divides @ X0 @ X1)
% 7.81/1.73 | (product @ X0 @ (second_divided_by_1st @ X0 @ X1) @ X1))),
% 7.81/1.73 inference('cnf', [status(esa)], [divides_implies_product])).
% 7.81/1.73 thf(zip_derived_cl38, plain,
% 7.81/1.73 ( (product @ c @ (second_divided_by_1st @ c @ e) @ e)),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl7])).
% 7.81/1.73 thf(zip_derived_cl12, plain, ( (product @ c @ c @ e)),
% 7.81/1.73 inference('cnf', [status(esa)], [c_squared])).
% 7.81/1.73 thf(zip_derived_cl4, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2)
% 7.81/1.73 | ~ (product @ X0 @ X3 @ X2)
% 7.81/1.73 | ((X1) = (X3)))),
% 7.81/1.73 inference('cnf', [status(esa)], [product_left_cancellation])).
% 7.81/1.73 thf(zip_derived_cl26, plain,
% 7.81/1.73 (![X0 : $i]: (~ (product @ c @ X0 @ e) | ((c) = (X0)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 7.81/1.73 thf(zip_derived_cl74, plain, (((c) = (second_divided_by_1st @ c @ e))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl26])).
% 7.81/1.73 thf(zip_derived_cl5532, plain,
% 7.81/1.73 (((multiply @ c @ (second_divided_by_1st @ a @ a)) = (c))),
% 7.81/1.73 inference('demod', [status(thm)], [zip_derived_cl5494, zip_derived_cl74])).
% 7.81/1.73 thf(zip_derived_cl30, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X1 @ X0))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 7.81/1.73 thf(zip_derived_cl8, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2) | (divides @ X0 @ X2))),
% 7.81/1.73 inference('cnf', [status(esa)], [product_divisible_by_operand])).
% 7.81/1.73 thf(zip_derived_cl88, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (divides @ X0 @ (multiply @ X1 @ X0))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl8])).
% 7.81/1.73 thf(zip_derived_cl6098, plain,
% 7.81/1.73 ( (divides @ (second_divided_by_1st @ a @ a) @ c)),
% 7.81/1.73 inference('s_sup+', [status(thm)], [zip_derived_cl5532, zip_derived_cl88])).
% 7.81/1.73 thf(zip_derived_cl5282, plain,
% 7.81/1.73 (![X0 : $i]: ((multiply @ (second_divided_by_1st @ a @ a) @ X0) = (X0))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl350, zip_derived_cl24])).
% 7.81/1.73 thf(zip_derived_cl30, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X1 @ X0))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 7.81/1.73 thf(zip_derived_cl0, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 7.81/1.73 inference('cnf', [status(esa)], [closure_of_product])).
% 7.81/1.73 thf(zip_derived_cl6, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2)
% 7.81/1.73 | ~ (product @ X0 @ X1 @ X3)
% 7.81/1.73 | ((X3) = (X2)))),
% 7.81/1.73 inference('cnf', [status(esa)], [well_defined_product])).
% 7.81/1.73 thf(zip_derived_cl27, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.81/1.73 (~ (product @ X1 @ X0 @ X2) | ((X2) = (multiply @ X1 @ X0)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 7.81/1.73 thf(zip_derived_cl101, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl27])).
% 7.81/1.73 thf(zip_derived_cl190, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]:
% 7.81/1.73 ((X0) = (second_divided_by_1st @ X1 @ (multiply @ X1 @ X0)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl24])).
% 7.81/1.73 thf(zip_derived_cl206, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]:
% 7.81/1.73 ((X1) = (second_divided_by_1st @ X0 @ (multiply @ X1 @ X0)))),
% 7.81/1.73 inference('s_sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl190])).
% 7.81/1.73 thf(zip_derived_cl5348, plain,
% 7.81/1.73 (![X0 : $i]:
% 7.81/1.73 ((second_divided_by_1st @ a @ a) = (second_divided_by_1st @ X0 @ X0))),
% 7.81/1.73 inference('s_sup+', [status(thm)],
% 7.81/1.73 [zip_derived_cl5282, zip_derived_cl206])).
% 7.81/1.73 thf(zip_derived_cl5348, plain,
% 7.81/1.73 (![X0 : $i]:
% 7.81/1.73 ((second_divided_by_1st @ a @ a) = (second_divided_by_1st @ X0 @ X0))),
% 7.81/1.73 inference('s_sup+', [status(thm)],
% 7.81/1.73 [zip_derived_cl5282, zip_derived_cl206])).
% 7.81/1.73 thf(zip_derived_cl5664, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]:
% 7.81/1.73 ((second_divided_by_1st @ X0 @ X0) = (second_divided_by_1st @ X1 @ X1))),
% 7.81/1.73 inference('s_sup+', [status(thm)],
% 7.81/1.73 [zip_derived_cl5348, zip_derived_cl5348])).
% 7.81/1.73 thf(zip_derived_cl5282, plain,
% 7.81/1.73 (![X0 : $i]: ((multiply @ (second_divided_by_1st @ a @ a) @ X0) = (X0))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl350, zip_derived_cl24])).
% 7.81/1.73 thf(b_squared, axiom, (product @ b @ b @ d)).
% 7.81/1.73 thf(zip_derived_cl11, plain, ( (product @ b @ b @ d)),
% 7.81/1.73 inference('cnf', [status(esa)], [b_squared])).
% 7.81/1.73 thf(zip_derived_cl62, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.81/1.73 (~ (product @ X3 @ X1 @ X2)
% 7.81/1.73 | (product @ X2 @ X0 @ (multiply @ X3 @ (multiply @ X1 @ X0))))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl20])).
% 7.81/1.73 thf(zip_derived_cl258, plain,
% 7.81/1.73 (![X0 : $i]: (product @ d @ X0 @ (multiply @ b @ (multiply @ b @ X0)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl62])).
% 7.81/1.73 thf(zip_derived_cl87, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2) | ((X2) = (multiply @ X1 @ X0)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl6])).
% 7.81/1.73 thf(zip_derived_cl1012, plain,
% 7.81/1.73 (![X0 : $i]: ((multiply @ b @ (multiply @ b @ X0)) = (multiply @ X0 @ d))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl87])).
% 7.81/1.73 thf(zip_derived_cl190, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]:
% 7.81/1.73 ((X0) = (second_divided_by_1st @ X1 @ (multiply @ X1 @ X0)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl24])).
% 7.81/1.73 thf(zip_derived_cl1104, plain,
% 7.81/1.73 (![X0 : $i]:
% 7.81/1.73 ((multiply @ b @ X0)
% 7.81/1.73 = (second_divided_by_1st @ b @ (multiply @ X0 @ d)))),
% 7.81/1.73 inference('s_sup+', [status(thm)],
% 7.81/1.73 [zip_derived_cl1012, zip_derived_cl190])).
% 7.81/1.73 thf(zip_derived_cl5467, plain,
% 7.81/1.73 (((multiply @ b @ (second_divided_by_1st @ a @ a))
% 7.81/1.73 = (second_divided_by_1st @ b @ d))),
% 7.81/1.73 inference('s_sup+', [status(thm)],
% 7.81/1.73 [zip_derived_cl5282, zip_derived_cl1104])).
% 7.81/1.73 thf(zip_derived_cl11, plain, ( (product @ b @ b @ d)),
% 7.81/1.73 inference('cnf', [status(esa)], [b_squared])).
% 7.81/1.73 thf(zip_derived_cl8, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2) | (divides @ X0 @ X2))),
% 7.81/1.73 inference('cnf', [status(esa)], [product_divisible_by_operand])).
% 7.81/1.73 thf(zip_derived_cl16, plain, ( (divides @ b @ d)),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 7.81/1.73 thf(zip_derived_cl7, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]:
% 7.81/1.73 (~ (divides @ X0 @ X1)
% 7.81/1.73 | (product @ X0 @ (second_divided_by_1st @ X0 @ X1) @ X1))),
% 7.81/1.73 inference('cnf', [status(esa)], [divides_implies_product])).
% 7.81/1.73 thf(zip_derived_cl37, plain,
% 7.81/1.73 ( (product @ b @ (second_divided_by_1st @ b @ d) @ d)),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl7])).
% 7.81/1.73 thf(zip_derived_cl11, plain, ( (product @ b @ b @ d)),
% 7.81/1.73 inference('cnf', [status(esa)], [b_squared])).
% 7.81/1.73 thf(zip_derived_cl4, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.81/1.73 (~ (product @ X0 @ X1 @ X2)
% 7.81/1.73 | ~ (product @ X0 @ X3 @ X2)
% 7.81/1.73 | ((X1) = (X3)))),
% 7.81/1.73 inference('cnf', [status(esa)], [product_left_cancellation])).
% 7.81/1.73 thf(zip_derived_cl25, plain,
% 7.81/1.73 (![X0 : $i]: (~ (product @ b @ X0 @ d) | ((b) = (X0)))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 7.81/1.73 thf(zip_derived_cl58, plain, (((b) = (second_divided_by_1st @ b @ d))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl25])).
% 7.81/1.73 thf(zip_derived_cl5521, plain,
% 7.81/1.73 (((multiply @ b @ (second_divided_by_1st @ a @ a)) = (b))),
% 7.81/1.73 inference('demod', [status(thm)], [zip_derived_cl5467, zip_derived_cl58])).
% 7.81/1.73 thf(zip_derived_cl88, plain,
% 7.81/1.73 (![X0 : $i, X1 : $i]: (divides @ X0 @ (multiply @ X1 @ X0))),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl8])).
% 7.81/1.73 thf(zip_derived_cl5797, plain,
% 7.81/1.73 ( (divides @ (second_divided_by_1st @ a @ a) @ b)),
% 7.81/1.73 inference('s_sup+', [status(thm)], [zip_derived_cl5521, zip_derived_cl88])).
% 7.81/1.73 thf(prove_there_is_no_common_divisor, conjecture,
% 7.81/1.73 (~( ( ~( divides @ A @ b ) ) | ( ~( divides @ A @ c ) ) ))).
% 7.81/1.73 thf(zf_stmt_0, negated_conjecture,
% 7.81/1.73 (( ~( divides @ A @ b ) ) | ( ~( divides @ A @ c ) )),
% 7.81/1.73 inference('cnf.neg', [status(esa)], [prove_there_is_no_common_divisor])).
% 7.81/1.73 thf(zip_derived_cl14, plain,
% 7.81/1.73 (![X0 : $i]: (~ (divides @ X0 @ b) | ~ (divides @ X0 @ c))),
% 7.81/1.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.81/1.73 thf(zip_derived_cl5974, plain,
% 7.81/1.73 (~ (divides @ (second_divided_by_1st @ a @ a) @ c)),
% 7.81/1.73 inference('s_sup-', [status(thm)], [zip_derived_cl5797, zip_derived_cl14])).
% 7.81/1.73 thf(zip_derived_cl5983, plain,
% 7.81/1.73 (![X0 : $i]: ~ (divides @ (second_divided_by_1st @ X0 @ X0) @ c)),
% 7.81/1.73 inference('s_sup-', [status(thm)],
% 7.81/1.73 [zip_derived_cl5664, zip_derived_cl5974])).
% 7.81/1.73 thf(zip_derived_cl6221, plain, ($false),
% 7.81/1.73 inference('s_sup-', [status(thm)],
% 7.81/1.73 [zip_derived_cl6098, zip_derived_cl5983])).
% 7.81/1.73
% 7.81/1.73 % SZS output end Refutation
% 7.81/1.73
% 7.81/1.73
% 7.81/1.73 % Terminating...
% 8.38/1.81 % Runner terminated.
% 8.38/1.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------