TSTP Solution File: RNG039-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG039-1 : 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.j8uLaH3nEk true
% Computer : n016.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 14:06:28 EDT 2023
% Result : Unsatisfiable 1.31s 0.93s
% Output : Refutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG039-1 : 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.j8uLaH3nEk true
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 02:35:12 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % 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
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.93 % Solved by fo/fo13.sh.
% 1.31/0.93 % done 404 iterations in 0.140s
% 1.31/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/0.93 % SZS output start Refutation
% 1.31/0.93 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.31/0.93 thf(sum_type, type, sum: $i > $i > $i > $o).
% 1.31/0.93 thf(b_type, type, b: $i).
% 1.31/0.93 thf(product_type, type, product: $i > $i > $i > $o).
% 1.31/0.93 thf(a_type, type, a: $i).
% 1.31/0.93 thf(additive_identity_type, type, additive_identity: $i).
% 1.31/0.93 thf(d_type, type, d: $i).
% 1.31/0.93 thf(c_type, type, c: $i).
% 1.31/0.93 thf(add_type, type, add: $i > $i > $i).
% 1.31/0.93 thf(clause70, axiom, (product @ ( add @ a @ b ) @ a @ ( add @ a @ d ))).
% 1.31/0.93 thf(zip_derived_cl55, plain,
% 1.31/0.93 ( (product @ (add @ a @ b) @ a @ (add @ a @ d))),
% 1.31/0.93 inference('cnf', [status(esa)], [clause70])).
% 1.31/0.93 thf(clause67, axiom, (product @ ( add @ a @ b ) @ b @ ( add @ c @ b ))).
% 1.31/0.93 thf(zip_derived_cl52, plain,
% 1.31/0.93 ( (product @ (add @ a @ b) @ b @ (add @ c @ b))),
% 1.31/0.93 inference('cnf', [status(esa)], [clause67])).
% 1.31/0.93 thf(clause35, axiom, (( multiply @ A @ A ) = ( A ))).
% 1.31/0.93 thf(zip_derived_cl22, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 1.31/0.93 inference('cnf', [status(esa)], [clause35])).
% 1.31/0.93 thf(zip_derived_cl22, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 1.31/0.93 inference('cnf', [status(esa)], [clause35])).
% 1.31/0.93 thf(clause44, axiom,
% 1.31/0.93 (product @ a @ ( multiply @ b @ A ) @ ( multiply @ B @ A ))).
% 1.31/0.93 thf(zip_derived_cl31, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 (product @ a @ (multiply @ b @ X0) @ (multiply @ X1 @ X0))),
% 1.31/0.93 inference('cnf', [status(esa)], [clause44])).
% 1.31/0.93 thf(zip_derived_cl381, plain,
% 1.31/0.93 (![X0 : $i]: (product @ a @ b @ (multiply @ X0 @ b))),
% 1.31/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl31])).
% 1.31/0.93 thf(zip_derived_cl706, plain, ( (product @ a @ b @ b)),
% 1.31/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl381])).
% 1.31/0.93 thf(a_times_b, conjecture, (~( product @ a @ b @ c ))).
% 1.31/0.93 thf(zf_stmt_0, negated_conjecture, (product @ a @ b @ c),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [a_times_b])).
% 1.31/0.93 thf(zip_derived_cl57, plain, ( (product @ a @ b @ c)),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.31/0.93 thf(multiplication_is_well_defined, axiom,
% 1.31/0.93 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ X @ Y @ V ) ) |
% 1.31/0.93 ( ( U ) = ( V ) ))).
% 1.31/0.93 thf(zip_derived_cl16, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.93 (~ (product @ X0 @ X1 @ X2)
% 1.31/0.93 | ~ (product @ X0 @ X1 @ X3)
% 1.31/0.93 | ((X2) = (X3)))),
% 1.31/0.93 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 1.31/0.93 thf(zip_derived_cl70, plain,
% 1.31/0.93 (![X0 : $i]: (~ (product @ a @ b @ X0) | ((c) = (X0)))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl16])).
% 1.31/0.93 thf(zip_derived_cl716, plain, (((c) = (b))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl706, zip_derived_cl70])).
% 1.31/0.93 thf(clause34, axiom, (( add @ A @ A ) = ( additive_identity ))).
% 1.31/0.93 thf(zip_derived_cl21, plain,
% 1.31/0.93 (![X0 : $i]: ((add @ X0 @ X0) = (additive_identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [clause34])).
% 1.31/0.93 thf(zip_derived_cl728, plain,
% 1.31/0.93 ( (product @ (add @ a @ b) @ b @ additive_identity)),
% 1.31/0.93 inference('demod', [status(thm)],
% 1.31/0.93 [zip_derived_cl52, zip_derived_cl716, zip_derived_cl21])).
% 1.31/0.93 thf(closure_of_multiplication, axiom,
% 1.31/0.93 (product @ X @ Y @ ( multiply @ X @ Y ))).
% 1.31/0.93 thf(zip_derived_cl2, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.31/0.93 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.31/0.93 thf(clause55, axiom, (product @ ( multiply @ c @ a ) @ b @ c)).
% 1.31/0.93 thf(zip_derived_cl42, plain, ( (product @ (multiply @ c @ a) @ b @ c)),
% 1.31/0.93 inference('cnf', [status(esa)], [clause55])).
% 1.31/0.93 thf(clause51, axiom, (product @ a @ d @ ( multiply @ c @ a ))).
% 1.31/0.93 thf(zip_derived_cl38, plain, ( (product @ a @ d @ (multiply @ c @ a))),
% 1.31/0.93 inference('cnf', [status(esa)], [clause51])).
% 1.31/0.93 thf(zip_derived_cl2, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.31/0.93 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.31/0.93 thf(clause40, axiom, (product @ b @ d @ d)).
% 1.31/0.93 thf(zip_derived_cl27, plain, ( (product @ b @ d @ d)),
% 1.31/0.93 inference('cnf', [status(esa)], [clause40])).
% 1.31/0.93 thf(zip_derived_cl57, plain, ( (product @ a @ b @ c)),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.31/0.93 thf(associativity_of_multiplication1, axiom,
% 1.31/0.93 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 1.31/0.93 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 1.31/0.93 thf(zip_derived_cl9, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/0.93 (~ (product @ X0 @ X1 @ X2)
% 1.31/0.93 | ~ (product @ X1 @ X3 @ X4)
% 1.31/0.93 | ~ (product @ X2 @ X3 @ X5)
% 1.31/0.93 | (product @ X0 @ X4 @ X5))),
% 1.31/0.93 inference('cnf', [status(esa)], [associativity_of_multiplication1])).
% 1.31/0.93 thf(zip_derived_cl180, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.93 (~ (product @ b @ X1 @ X0)
% 1.31/0.93 | ~ (product @ c @ X1 @ X2)
% 1.31/0.93 | (product @ a @ X0 @ X2))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl9])).
% 1.31/0.93 thf(zip_derived_cl197, plain,
% 1.31/0.93 (![X0 : $i]: (~ (product @ c @ d @ X0) | (product @ a @ d @ X0))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl180])).
% 1.31/0.93 thf(zip_derived_cl221, plain, ( (product @ a @ d @ (multiply @ c @ d))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl197])).
% 1.31/0.93 thf(zip_derived_cl16, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.93 (~ (product @ X0 @ X1 @ X2)
% 1.31/0.93 | ~ (product @ X0 @ X1 @ X3)
% 1.31/0.93 | ((X2) = (X3)))),
% 1.31/0.93 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 1.31/0.93 thf(zip_derived_cl224, plain,
% 1.31/0.93 (![X0 : $i]: (~ (product @ a @ d @ X0) | ((multiply @ c @ d) = (X0)))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl221, zip_derived_cl16])).
% 1.31/0.93 thf(zip_derived_cl226, plain, (((multiply @ c @ d) = (multiply @ c @ a))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl224])).
% 1.31/0.93 thf(zip_derived_cl2, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.31/0.93 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.31/0.93 thf(zip_derived_cl224, plain,
% 1.31/0.93 (![X0 : $i]: (~ (product @ a @ d @ X0) | ((multiply @ c @ d) = (X0)))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl221, zip_derived_cl16])).
% 1.31/0.93 thf(zip_derived_cl225, plain, (((multiply @ c @ d) = (multiply @ a @ d))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl224])).
% 1.31/0.93 thf(zip_derived_cl233, plain, (((multiply @ a @ d) = (multiply @ c @ a))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl226, zip_derived_cl225])).
% 1.31/0.93 thf(zip_derived_cl235, plain, ( (product @ (multiply @ a @ d) @ b @ c)),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl233])).
% 1.31/0.93 thf(zip_derived_cl16, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.93 (~ (product @ X0 @ X1 @ X2)
% 1.31/0.93 | ~ (product @ X0 @ X1 @ X3)
% 1.31/0.93 | ((X2) = (X3)))),
% 1.31/0.93 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 1.31/0.93 thf(zip_derived_cl266, plain,
% 1.31/0.93 (![X0 : $i]: (~ (product @ (multiply @ a @ d) @ b @ X0) | ((c) = (X0)))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl16])).
% 1.31/0.93 thf(zip_derived_cl284, plain, (((c) = (multiply @ (multiply @ a @ d) @ b))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl266])).
% 1.31/0.93 thf(zip_derived_cl2, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.31/0.93 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.31/0.93 thf(clause49, axiom, (product @ b @ ( multiply @ a @ d ) @ d)).
% 1.31/0.93 thf(zip_derived_cl36, plain, ( (product @ b @ (multiply @ a @ d) @ d)),
% 1.31/0.93 inference('cnf', [status(esa)], [clause49])).
% 1.31/0.93 thf(zip_derived_cl16, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.93 (~ (product @ X0 @ X1 @ X2)
% 1.31/0.93 | ~ (product @ X0 @ X1 @ X3)
% 1.31/0.93 | ((X2) = (X3)))),
% 1.31/0.93 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 1.31/0.93 thf(zip_derived_cl72, plain,
% 1.31/0.93 (![X0 : $i]: (~ (product @ b @ (multiply @ a @ d) @ X0) | ((d) = (X0)))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl16])).
% 1.31/0.93 thf(zip_derived_cl142, plain, (((d) = (multiply @ b @ (multiply @ a @ d)))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl72])).
% 1.31/0.93 thf(zip_derived_cl31, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 (product @ a @ (multiply @ b @ X0) @ (multiply @ X1 @ X0))),
% 1.31/0.93 inference('cnf', [status(esa)], [clause44])).
% 1.31/0.93 thf(zip_derived_cl373, plain, ( (product @ a @ d @ d)),
% 1.31/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl31])).
% 1.31/0.93 thf(zip_derived_cl225, plain, (((multiply @ c @ d) = (multiply @ a @ d))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl224])).
% 1.31/0.93 thf(zip_derived_cl224, plain,
% 1.31/0.93 (![X0 : $i]: (~ (product @ a @ d @ X0) | ((multiply @ c @ d) = (X0)))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl221, zip_derived_cl16])).
% 1.31/0.93 thf(zip_derived_cl232, plain,
% 1.31/0.93 (![X0 : $i]: (~ (product @ a @ d @ X0) | ((multiply @ a @ d) = (X0)))),
% 1.31/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl224])).
% 1.31/0.93 thf(zip_derived_cl400, plain, (((multiply @ a @ d) = (d))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl373, zip_derived_cl232])).
% 1.31/0.93 thf(zip_derived_cl2, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.31/0.93 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.31/0.93 thf(clause50, axiom, (product @ b @ c @ ( multiply @ d @ b ))).
% 1.31/0.93 thf(zip_derived_cl37, plain, ( (product @ b @ c @ (multiply @ d @ b))),
% 1.31/0.93 inference('cnf', [status(esa)], [clause50])).
% 1.31/0.93 thf(zip_derived_cl16, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.93 (~ (product @ X0 @ X1 @ X2)
% 1.31/0.93 | ~ (product @ X0 @ X1 @ X3)
% 1.31/0.93 | ((X2) = (X3)))),
% 1.31/0.93 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 1.31/0.93 thf(zip_derived_cl75, plain,
% 1.31/0.93 (![X0 : $i]: (~ (product @ b @ c @ X0) | ((multiply @ d @ b) = (X0)))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl16])).
% 1.31/0.93 thf(zip_derived_cl267, plain, (((multiply @ d @ b) = (multiply @ b @ c))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl75])).
% 1.31/0.93 thf(zip_derived_cl416, plain, (((c) = (multiply @ b @ c))),
% 1.31/0.93 inference('demod', [status(thm)],
% 1.31/0.93 [zip_derived_cl284, zip_derived_cl400, zip_derived_cl267])).
% 1.31/0.93 thf(zip_derived_cl31, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 (product @ a @ (multiply @ b @ X0) @ (multiply @ X1 @ X0))),
% 1.31/0.93 inference('cnf', [status(esa)], [clause44])).
% 1.31/0.93 thf(zip_derived_cl467, plain,
% 1.31/0.93 (![X0 : $i]: (product @ a @ c @ (multiply @ X0 @ c))),
% 1.31/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl31])).
% 1.31/0.93 thf(clause39, axiom, (product @ a @ c @ c)).
% 1.31/0.93 thf(zip_derived_cl26, plain, ( (product @ a @ c @ c)),
% 1.31/0.93 inference('cnf', [status(esa)], [clause39])).
% 1.31/0.93 thf(zip_derived_cl16, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.93 (~ (product @ X0 @ X1 @ X2)
% 1.31/0.93 | ~ (product @ X0 @ X1 @ X3)
% 1.31/0.93 | ((X2) = (X3)))),
% 1.31/0.93 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 1.31/0.93 thf(zip_derived_cl71, plain,
% 1.31/0.93 (![X0 : $i]: (~ (product @ a @ c @ X0) | ((c) = (X0)))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl16])).
% 1.31/0.93 thf(zip_derived_cl649, plain, (![X0 : $i]: ((c) = (multiply @ X0 @ c))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl467, zip_derived_cl71])).
% 1.31/0.93 thf(zip_derived_cl2, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.31/0.93 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 1.31/0.93 thf(zip_derived_cl661, plain, (![X0 : $i]: (product @ X0 @ c @ c)),
% 1.31/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl649, zip_derived_cl2])).
% 1.31/0.93 thf(zip_derived_cl16, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.93 (~ (product @ X0 @ X1 @ X2)
% 1.31/0.93 | ~ (product @ X0 @ X1 @ X3)
% 1.31/0.93 | ((X2) = (X3)))),
% 1.31/0.93 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 1.31/0.93 thf(zip_derived_cl680, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]: (~ (product @ X0 @ c @ X1) | ((c) = (X1)))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl661, zip_derived_cl16])).
% 1.31/0.93 thf(zip_derived_cl716, plain, (((c) = (b))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl706, zip_derived_cl70])).
% 1.31/0.93 thf(zip_derived_cl716, plain, (((c) = (b))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl706, zip_derived_cl70])).
% 1.31/0.93 thf(zip_derived_cl758, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]: (~ (product @ X0 @ b @ X1) | ((b) = (X1)))),
% 1.31/0.93 inference('demod', [status(thm)],
% 1.31/0.93 [zip_derived_cl680, zip_derived_cl716, zip_derived_cl716])).
% 1.31/0.93 thf(zip_derived_cl871, plain, (((b) = (additive_identity))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl728, zip_derived_cl758])).
% 1.31/0.93 thf(clause33, axiom, (( add @ A @ additive_identity ) = ( A ))).
% 1.31/0.93 thf(zip_derived_cl20, plain,
% 1.31/0.93 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 1.31/0.93 inference('cnf', [status(esa)], [clause33])).
% 1.31/0.93 thf(zip_derived_cl879, plain, ( (product @ a @ a @ (add @ a @ d))),
% 1.31/0.93 inference('demod', [status(thm)],
% 1.31/0.93 [zip_derived_cl55, zip_derived_cl871, zip_derived_cl20])).
% 1.31/0.93 thf(clause71, axiom, (product @ A @ A @ A)).
% 1.31/0.93 thf(zip_derived_cl56, plain, (![X0 : $i]: (product @ X0 @ X0 @ X0)),
% 1.31/0.93 inference('cnf', [status(esa)], [clause71])).
% 1.31/0.93 thf(zip_derived_cl16, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.93 (~ (product @ X0 @ X1 @ X2)
% 1.31/0.93 | ~ (product @ X0 @ X1 @ X3)
% 1.31/0.93 | ((X2) = (X3)))),
% 1.31/0.93 inference('cnf', [status(esa)], [multiplication_is_well_defined])).
% 1.31/0.93 thf(zip_derived_cl66, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]: (~ (product @ X0 @ X0 @ X1) | ((X0) = (X1)))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl16])).
% 1.31/0.93 thf(zip_derived_cl956, plain, (((a) = (add @ a @ d))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl879, zip_derived_cl66])).
% 1.31/0.93 thf(absorbtion1, axiom, (sum @ A @ ( add @ A @ B ) @ B)).
% 1.31/0.93 thf(zip_derived_cl17, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]: (sum @ X0 @ (add @ X0 @ X1) @ X1)),
% 1.31/0.93 inference('cnf', [status(esa)], [absorbtion1])).
% 1.31/0.93 thf(zip_derived_cl961, plain, ( (sum @ a @ a @ d)),
% 1.31/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl956, zip_derived_cl17])).
% 1.31/0.93 thf(closure_of_addition, axiom, (sum @ X @ Y @ ( add @ X @ Y ))).
% 1.31/0.93 thf(zip_derived_cl3, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 1.31/0.93 inference('cnf', [status(esa)], [closure_of_addition])).
% 1.31/0.93 thf(addition_is_well_defined, axiom,
% 1.31/0.93 (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ X @ Y @ V ) ) | ( ( U ) = ( V ) ))).
% 1.31/0.93 thf(zip_derived_cl15, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.93 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 1.31/0.93 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 1.31/0.93 thf(zip_derived_cl87, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.93 (~ (sum @ X1 @ X0 @ X2) | ((add @ X1 @ X0) = (X2)))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 1.31/0.93 thf(zip_derived_cl978, plain, (((add @ a @ a) = (d))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl961, zip_derived_cl87])).
% 1.31/0.93 thf(zip_derived_cl21, plain,
% 1.31/0.93 (![X0 : $i]: ((add @ X0 @ X0) = (additive_identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [clause34])).
% 1.31/0.93 thf(zip_derived_cl982, plain, (((additive_identity) = (d))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl978, zip_derived_cl21])).
% 1.31/0.93 thf(prove_c_equals_d, conjecture, (( c ) = ( d ))).
% 1.31/0.93 thf(zf_stmt_1, negated_conjecture, (( c ) != ( d )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_c_equals_d])).
% 1.31/0.93 thf(zip_derived_cl59, plain, (((c) != (d))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.93 thf(zip_derived_cl716, plain, (((c) = (b))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl706, zip_derived_cl70])).
% 1.31/0.93 thf(zip_derived_cl731, plain, (((b) != (d))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl716])).
% 1.31/0.93 thf(zip_derived_cl871, plain, (((b) = (additive_identity))),
% 1.31/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl728, zip_derived_cl758])).
% 1.31/0.93 thf(zip_derived_cl889, plain, (((additive_identity) != (d))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl731, zip_derived_cl871])).
% 1.31/0.93 thf(zip_derived_cl983, plain, ($false),
% 1.31/0.93 inference('simplify_reflect-', [status(thm)],
% 1.31/0.93 [zip_derived_cl982, zip_derived_cl889])).
% 1.31/0.93
% 1.31/0.93 % SZS output end Refutation
% 1.31/0.93
% 1.31/0.93
% 1.31/0.93 % Terminating...
% 1.46/0.96 % Runner terminated.
% 1.46/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------