TSTP Solution File: RNG005-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ECdCaV4rtc true
% Computer : n001.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 14:06:14 EDT 2023
% Result : Unsatisfiable 3.87s 1.14s
% Output : Refutation 3.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : RNG005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ECdCaV4rtc true
% 0.14/0.36 % Computer : n001.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 02:07:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.87/1.14 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.87/1.14 % Solved by fo/fo5.sh.
% 3.87/1.14 % done 973 iterations in 0.344s
% 3.87/1.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.87/1.14 % SZS output start Refutation
% 3.87/1.14 thf(multiply_type, type, multiply: $i > $i > $i).
% 3.87/1.14 thf(a_type, type, a: $i).
% 3.87/1.14 thf(sum_type, type, sum: $i > $i > $i > $o).
% 3.87/1.14 thf(product_type, type, product: $i > $i > $i > $o).
% 3.87/1.14 thf(d_type, type, d: $i).
% 3.87/1.14 thf(additive_identity_type, type, additive_identity: $i).
% 3.87/1.14 thf(b_type, type, b: $i).
% 3.87/1.14 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 3.87/1.14 thf(c_type, type, c: $i).
% 3.87/1.14 thf(add_type, type, add: $i > $i > $i).
% 3.87/1.14 thf(closure_of_multiplication, axiom,
% 3.87/1.14 (product @ X @ Y @ ( multiply @ X @ Y ))).
% 3.87/1.14 thf(zip_derived_cl2, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 3.87/1.14 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 3.87/1.14 thf(additive_identity2, axiom, (sum @ X @ additive_identity @ X)).
% 3.87/1.14 thf(zip_derived_cl1, plain,
% 3.87/1.14 (![X0 : $i]: (sum @ X0 @ additive_identity @ X0)),
% 3.87/1.14 inference('cnf', [status(esa)], [additive_identity2])).
% 3.87/1.14 thf(a_times_b, axiom, (product @ a @ b @ d)).
% 3.87/1.14 thf(zip_derived_cl17, plain, ( (product @ a @ b @ d)),
% 3.87/1.14 inference('cnf', [status(esa)], [a_times_b])).
% 3.87/1.14 thf(zip_derived_cl17, plain, ( (product @ a @ b @ d)),
% 3.87/1.14 inference('cnf', [status(esa)], [a_times_b])).
% 3.87/1.14 thf(distributivity3, axiom,
% 3.87/1.14 (( ~( product @ Y @ X @ V1 ) ) | ( ~( product @ Z @ X @ V2 ) ) |
% 3.87/1.14 ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( product @ V3 @ X @ V4 ) ) |
% 3.87/1.14 ( sum @ V1 @ V2 @ V4 ))).
% 3.87/1.14 thf(zip_derived_cl13, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.87/1.14 (~ (product @ X0 @ X1 @ X2)
% 3.87/1.14 | ~ (product @ X3 @ X1 @ X4)
% 3.87/1.14 | ~ (sum @ X0 @ X3 @ X5)
% 3.87/1.14 | ~ (product @ X5 @ X1 @ X6)
% 3.87/1.14 | (sum @ X2 @ X4 @ X6))),
% 3.87/1.14 inference('cnf', [status(esa)], [distributivity3])).
% 3.87/1.14 thf(zip_derived_cl116, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.87/1.14 ( (sum @ d @ X1 @ X0)
% 3.87/1.14 | ~ (product @ X2 @ b @ X0)
% 3.87/1.14 | ~ (sum @ a @ X3 @ X2)
% 3.87/1.14 | ~ (product @ X3 @ b @ X1))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl13])).
% 3.87/1.14 thf(zip_derived_cl2353, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i]:
% 3.87/1.14 (~ (product @ X1 @ b @ X0)
% 3.87/1.14 | ~ (sum @ a @ X1 @ a)
% 3.87/1.14 | (sum @ d @ X0 @ d))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl116])).
% 3.87/1.14 thf(zip_derived_cl3059, plain,
% 3.87/1.14 (![X0 : $i]:
% 3.87/1.14 ( (sum @ d @ X0 @ d) | ~ (product @ additive_identity @ b @ X0))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2353])).
% 3.87/1.14 thf(zip_derived_cl3064, plain,
% 3.87/1.14 ( (sum @ d @ (multiply @ additive_identity @ b) @ d)),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl3059])).
% 3.87/1.14 thf(commutativity_of_addition, axiom,
% 3.87/1.14 (( ~( sum @ X @ Y @ Z ) ) | ( sum @ Y @ X @ Z ))).
% 3.87/1.14 thf(zip_derived_cl8, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.87/1.14 (~ (sum @ X0 @ X1 @ X2) | (sum @ X1 @ X0 @ X2))),
% 3.87/1.14 inference('cnf', [status(esa)], [commutativity_of_addition])).
% 3.87/1.14 thf(zip_derived_cl3067, plain,
% 3.87/1.14 ( (sum @ (multiply @ additive_identity @ b) @ d @ d)),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl3064, zip_derived_cl8])).
% 3.87/1.14 thf(left_inverse, axiom,
% 3.87/1.14 (sum @ ( additive_inverse @ X ) @ X @ additive_identity)).
% 3.87/1.14 thf(zip_derived_cl4, plain,
% 3.87/1.14 (![X0 : $i]: (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)),
% 3.87/1.14 inference('cnf', [status(esa)], [left_inverse])).
% 3.87/1.14 thf(closure_of_addition, axiom, (sum @ X @ Y @ ( add @ X @ Y ))).
% 3.87/1.14 thf(zip_derived_cl3, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 3.87/1.14 inference('cnf', [status(esa)], [closure_of_addition])).
% 3.87/1.14 thf(associativity_of_addition2, axiom,
% 3.87/1.14 (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ Y @ Z @ V ) ) |
% 3.87/1.14 ( ~( sum @ X @ V @ W ) ) | ( sum @ U @ Z @ W ))).
% 3.87/1.14 thf(zip_derived_cl7, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.87/1.14 (~ (sum @ X0 @ X1 @ X2)
% 3.87/1.14 | ~ (sum @ X1 @ X3 @ X4)
% 3.87/1.14 | ~ (sum @ X0 @ X4 @ X5)
% 3.87/1.14 | (sum @ X2 @ X3 @ X5))),
% 3.87/1.14 inference('cnf', [status(esa)], [associativity_of_addition2])).
% 3.87/1.14 thf(zip_derived_cl55, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.87/1.14 ( (sum @ (add @ X1 @ X0) @ X3 @ X2)
% 3.87/1.14 | ~ (sum @ X1 @ X4 @ X2)
% 3.87/1.14 | ~ (sum @ X0 @ X3 @ X4))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 3.87/1.14 thf(zip_derived_cl439, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.87/1.14 (~ (sum @ X2 @ X1 @ X0)
% 3.87/1.14 | (sum @ (add @ (additive_inverse @ X0) @ X2) @ X1 @
% 3.87/1.14 additive_identity))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl55])).
% 3.87/1.14 thf(zip_derived_cl3116, plain,
% 3.87/1.14 ( (sum @
% 3.87/1.14 (add @ (additive_inverse @ d) @ (multiply @ additive_identity @ b)) @
% 3.87/1.14 d @ additive_identity)),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl3067, zip_derived_cl439])).
% 3.87/1.14 thf(zip_derived_cl2, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 3.87/1.14 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 3.87/1.14 thf(zip_derived_cl17, plain, ( (product @ a @ b @ d)),
% 3.87/1.14 inference('cnf', [status(esa)], [a_times_b])).
% 3.87/1.14 thf(zip_derived_cl4, plain,
% 3.87/1.14 (![X0 : $i]: (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)),
% 3.87/1.14 inference('cnf', [status(esa)], [left_inverse])).
% 3.87/1.14 thf(a_inverse_times_b, axiom, (product @ ( additive_inverse @ a ) @ b @ c)).
% 3.87/1.14 thf(zip_derived_cl18, plain, ( (product @ (additive_inverse @ a) @ b @ c)),
% 3.87/1.14 inference('cnf', [status(esa)], [a_inverse_times_b])).
% 3.87/1.14 thf(zip_derived_cl13, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.87/1.14 (~ (product @ X0 @ X1 @ X2)
% 3.87/1.14 | ~ (product @ X3 @ X1 @ X4)
% 3.87/1.14 | ~ (sum @ X0 @ X3 @ X5)
% 3.87/1.14 | ~ (product @ X5 @ X1 @ X6)
% 3.87/1.14 | (sum @ X2 @ X4 @ X6))),
% 3.87/1.14 inference('cnf', [status(esa)], [distributivity3])).
% 3.87/1.14 thf(zip_derived_cl115, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.87/1.14 ( (sum @ c @ X1 @ X0)
% 3.87/1.14 | ~ (product @ X2 @ b @ X0)
% 3.87/1.14 | ~ (sum @ (additive_inverse @ a) @ X3 @ X2)
% 3.87/1.14 | ~ (product @ X3 @ b @ X1))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl13])).
% 3.87/1.14 thf(zip_derived_cl2268, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i]:
% 3.87/1.14 (~ (product @ a @ b @ X0)
% 3.87/1.14 | ~ (product @ additive_identity @ b @ X1)
% 3.87/1.14 | (sum @ c @ X0 @ X1))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl115])).
% 3.87/1.14 thf(zip_derived_cl2275, plain,
% 3.87/1.14 (![X0 : $i]:
% 3.87/1.14 ( (sum @ c @ d @ X0) | ~ (product @ additive_identity @ b @ X0))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl2268])).
% 3.87/1.14 thf(zip_derived_cl2277, plain,
% 3.87/1.14 ( (sum @ c @ d @ (multiply @ additive_identity @ b))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl2275])).
% 3.87/1.14 thf(zip_derived_cl3, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 3.87/1.14 inference('cnf', [status(esa)], [closure_of_addition])).
% 3.87/1.14 thf(zip_derived_cl8, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.87/1.14 (~ (sum @ X0 @ X1 @ X2) | (sum @ X1 @ X0 @ X2))),
% 3.87/1.14 inference('cnf', [status(esa)], [commutativity_of_addition])).
% 3.87/1.14 thf(zip_derived_cl20, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X1 @ X0))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 3.87/1.14 thf(addition_is_well_defined, axiom,
% 3.87/1.14 (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ X @ Y @ V ) ) | ( ( U ) = ( V ) ))).
% 3.87/1.14 thf(zip_derived_cl15, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.87/1.14 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 3.87/1.14 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 3.87/1.14 thf(zip_derived_cl88, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.87/1.14 (((add @ X1 @ X0) = (X2)) | ~ (sum @ X0 @ X1 @ X2))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl15])).
% 3.87/1.14 thf(zip_derived_cl2282, plain,
% 3.87/1.14 (((add @ d @ c) = (multiply @ additive_identity @ b))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl2277, zip_derived_cl88])).
% 3.87/1.14 thf(right_inverse, axiom,
% 3.87/1.14 (sum @ X @ ( additive_inverse @ X ) @ additive_identity)).
% 3.87/1.14 thf(zip_derived_cl5, plain,
% 3.87/1.14 (![X0 : $i]: (sum @ X0 @ (additive_inverse @ X0) @ additive_identity)),
% 3.87/1.14 inference('cnf', [status(esa)], [right_inverse])).
% 3.87/1.14 thf(additive_identity1, axiom, (sum @ additive_identity @ X @ X)).
% 3.87/1.14 thf(zip_derived_cl0, plain,
% 3.87/1.14 (![X0 : $i]: (sum @ additive_identity @ X0 @ X0)),
% 3.87/1.14 inference('cnf', [status(esa)], [additive_identity1])).
% 3.87/1.14 thf(zip_derived_cl5, plain,
% 3.87/1.14 (![X0 : $i]: (sum @ X0 @ (additive_inverse @ X0) @ additive_identity)),
% 3.87/1.14 inference('cnf', [status(esa)], [right_inverse])).
% 3.87/1.14 thf(associativity_of_addition1, axiom,
% 3.87/1.14 (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ Y @ Z @ V ) ) |
% 3.87/1.14 ( ~( sum @ U @ Z @ W ) ) | ( sum @ X @ V @ W ))).
% 3.87/1.14 thf(zip_derived_cl6, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.87/1.14 (~ (sum @ X0 @ X1 @ X2)
% 3.87/1.14 | ~ (sum @ X1 @ X3 @ X4)
% 3.87/1.14 | ~ (sum @ X2 @ X3 @ X5)
% 3.87/1.14 | (sum @ X0 @ X4 @ X5))),
% 3.87/1.14 inference('cnf', [status(esa)], [associativity_of_addition1])).
% 3.87/1.14 thf(zip_derived_cl28, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.87/1.14 ( (sum @ X0 @ X2 @ X1)
% 3.87/1.14 | ~ (sum @ additive_identity @ X3 @ X1)
% 3.87/1.14 | ~ (sum @ (additive_inverse @ X0) @ X3 @ X2))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 3.87/1.14 thf(zip_derived_cl166, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.87/1.14 (~ (sum @ (additive_inverse @ X2) @ X0 @ X1) | (sum @ X2 @ X1 @ X0))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl28])).
% 3.87/1.14 thf(zip_derived_cl287, plain,
% 3.87/1.14 (![X0 : $i]:
% 3.87/1.14 (sum @ X0 @ additive_identity @
% 3.87/1.14 (additive_inverse @ (additive_inverse @ X0)))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl166])).
% 3.87/1.14 thf(zip_derived_cl1, plain,
% 3.87/1.14 (![X0 : $i]: (sum @ X0 @ additive_identity @ X0)),
% 3.87/1.14 inference('cnf', [status(esa)], [additive_identity2])).
% 3.87/1.14 thf(zip_derived_cl15, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.87/1.14 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 3.87/1.14 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 3.87/1.14 thf(zip_derived_cl46, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i]:
% 3.87/1.14 (((X0) = (X1)) | ~ (sum @ X0 @ additive_identity @ X1))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl15])).
% 3.87/1.14 thf(zip_derived_cl300, plain,
% 3.87/1.14 (![X0 : $i]: ((X0) = (additive_inverse @ (additive_inverse @ X0)))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl287, zip_derived_cl46])).
% 3.87/1.14 thf(zip_derived_cl3, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 3.87/1.14 inference('cnf', [status(esa)], [closure_of_addition])).
% 3.87/1.14 thf(zip_derived_cl166, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.87/1.14 (~ (sum @ (additive_inverse @ X2) @ X0 @ X1) | (sum @ X2 @ X1 @ X0))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl28])).
% 3.87/1.14 thf(zip_derived_cl284, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i]:
% 3.87/1.14 (sum @ X1 @ (add @ (additive_inverse @ X1) @ X0) @ X0)),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl166])).
% 3.87/1.14 thf(zip_derived_cl3, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 3.87/1.14 inference('cnf', [status(esa)], [closure_of_addition])).
% 3.87/1.14 thf(zip_derived_cl15, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.87/1.14 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 3.87/1.14 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 3.87/1.14 thf(zip_derived_cl45, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.87/1.14 (((add @ X1 @ X0) = (X2)) | ~ (sum @ X1 @ X0 @ X2))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 3.87/1.14 thf(zip_derived_cl384, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i]:
% 3.87/1.14 ((add @ X1 @ (add @ (additive_inverse @ X1) @ X0)) = (X0))),
% 3.87/1.14 inference('sup-', [status(thm)], [zip_derived_cl284, zip_derived_cl45])).
% 3.87/1.14 thf(zip_derived_cl501, plain,
% 3.87/1.14 (![X0 : $i, X1 : $i]:
% 3.87/1.14 ((add @ (additive_inverse @ X0) @ (add @ X0 @ X1)) = (X1))),
% 3.87/1.14 inference('sup+', [status(thm)], [zip_derived_cl300, zip_derived_cl384])).
% 3.87/1.14 thf(zip_derived_cl2307, plain,
% 3.87/1.14 (((add @ (additive_inverse @ d) @ (multiply @ additive_identity @ b))
% 3.87/1.14 = (c))),
% 3.87/1.14 inference('sup+', [status(thm)], [zip_derived_cl2282, zip_derived_cl501])).
% 3.87/1.14 thf(prove_sum_is_additive_id, conjecture, (sum @ c @ d @ additive_identity)).
% 3.87/1.14 thf(zf_stmt_0, negated_conjecture, (~( sum @ c @ d @ additive_identity )),
% 3.87/1.14 inference('cnf.neg', [status(esa)], [prove_sum_is_additive_id])).
% 3.87/1.14 thf(zip_derived_cl19, plain, (~ (sum @ c @ d @ additive_identity)),
% 3.87/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.87/1.14 thf(zip_derived_cl3131, plain, ($false),
% 3.87/1.14 inference('demod', [status(thm)],
% 3.87/1.14 [zip_derived_cl3116, zip_derived_cl2307, zip_derived_cl19])).
% 3.87/1.14
% 3.87/1.14 % SZS output end Refutation
% 3.87/1.14
% 3.87/1.14
% 3.87/1.14 % Terminating...
% 4.37/1.27 % Runner terminated.
% 4.37/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------