TSTP Solution File: GRP047-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP047-2 : 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.bjfUoUsmgT true
% Computer : n025.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 01:49:42 EDT 2023
% Result : Unsatisfiable 0.58s 1.00s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP047-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bjfUoUsmgT true
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 21:26:39 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.19/0.66 % Total configuration time : 435
% 0.19/0.66 % Estimated wc time : 1092
% 0.19/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/1.00 % Solved by fo/fo6_bce.sh.
% 0.58/1.00 % BCE start: 9
% 0.58/1.00 % BCE eliminated: 0
% 0.58/1.00 % PE start: 9
% 0.58/1.00 logic: neq
% 0.58/1.00 % PE eliminated: 1
% 0.58/1.00 % done 167 iterations in 0.262s
% 0.58/1.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.00 % SZS output start Refutation
% 0.58/1.00 thf(product_type, type, product: $i > $i > $i > $o).
% 0.58/1.00 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.58/1.00 thf(identity_type, type, identity: $i).
% 0.58/1.00 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/1.00 thf(a_type, type, a: $i).
% 0.58/1.00 thf(b_type, type, b: $i).
% 0.58/1.00 thf(c_type, type, c: $i).
% 0.58/1.00 thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 0.58/1.00 thf(zip_derived_cl2, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.58/1.00 inference('cnf', [status(esa)], [total_function1])).
% 0.58/1.00 thf(zip_derived_cl2, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.58/1.00 inference('cnf', [status(esa)], [total_function1])).
% 0.58/1.00 thf(associativity1, axiom,
% 0.58/1.00 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.58/1.00 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 0.58/1.00 thf(zip_derived_cl4, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (product @ X0 @ X1 @ X2)
% 0.58/1.00 | ~ (product @ X1 @ X3 @ X4)
% 0.58/1.00 | ~ (product @ X2 @ X3 @ X5)
% 0.58/1.00 | (product @ X0 @ X4 @ X5))),
% 0.58/1.00 inference('cnf', [status(esa)], [associativity1])).
% 0.58/1.00 thf(zip_derived_cl14, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/1.00 (~ (product @ X0 @ X3 @ X2)
% 0.58/1.00 | ~ (product @ (multiply @ X1 @ X0) @ X3 @ X4)
% 0.58/1.00 | (product @ X1 @ X2 @ X4))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 0.58/1.00 thf(zip_derived_cl51, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.00 (~ (product @ X1 @ X0 @ X3)
% 0.58/1.00 | (product @ X2 @ X3 @ (multiply @ (multiply @ X2 @ X1) @ X0)))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl14])).
% 0.58/1.00 thf(zip_derived_cl2, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.58/1.00 inference('cnf', [status(esa)], [total_function1])).
% 0.58/1.00 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.58/1.00 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl2, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.58/1.00 inference('cnf', [status(esa)], [total_function1])).
% 0.58/1.00 thf(total_function2, axiom,
% 0.58/1.00 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.58/1.00 ( equalish @ Z @ W ))).
% 0.58/1.00 thf(zip_derived_cl3, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.00 (~ (product @ X0 @ X1 @ X2)
% 0.58/1.00 | ~ (product @ X0 @ X1 @ X3)
% 0.58/1.00 | (equalish @ X2 @ X3))),
% 0.58/1.00 inference('cnf', [status(esa)], [total_function2])).
% 0.58/1.00 thf(product_substitution3, axiom,
% 0.58/1.00 (( ~( equalish @ X @ Y ) ) | ( ~( product @ W @ Z @ X ) ) |
% 0.58/1.00 ( product @ W @ Z @ Y ))).
% 0.58/1.00 thf(zip_derived_cl6, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.00 (~ (equalish @ X0 @ X1)
% 0.58/1.00 | ~ (product @ X2 @ X3 @ X0)
% 0.58/1.00 | (product @ X2 @ X3 @ X1))),
% 0.58/1.00 inference('cnf', [status(esa)], [product_substitution3])).
% 0.58/1.00 thf(zip_derived_cl9, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (product @ X5 @ X4 @ X0)
% 0.58/1.00 | ~ (product @ X5 @ X4 @ X3)
% 0.58/1.00 | (product @ X2 @ X1 @ X0)
% 0.58/1.00 | ~ (product @ X2 @ X1 @ X3))),
% 0.58/1.00 inference('dp-resolution', [status(thm)],
% 0.58/1.00 [zip_derived_cl3, zip_derived_cl6])).
% 0.58/1.00 thf(zip_derived_cl38, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/1.00 (~ (product @ X1 @ X0 @ X2)
% 0.58/1.00 | (product @ X4 @ X3 @ (multiply @ X1 @ X0))
% 0.58/1.00 | ~ (product @ X4 @ X3 @ X2))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl9])).
% 0.58/1.00 thf(zip_derived_cl57, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 ( (product @ X2 @ X1 @ (multiply @ identity @ X0))
% 0.58/1.00 | ~ (product @ X2 @ X1 @ X0))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl38])).
% 0.58/1.00 thf(zip_derived_cl38, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/1.00 (~ (product @ X1 @ X0 @ X2)
% 0.58/1.00 | (product @ X4 @ X3 @ (multiply @ X1 @ X0))
% 0.58/1.00 | ~ (product @ X4 @ X3 @ X2))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl9])).
% 0.58/1.00 thf(zip_derived_cl66, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/1.00 (~ (product @ X2 @ X1 @ X0)
% 0.58/1.00 | (product @ X4 @ X3 @ (multiply @ X2 @ X1))
% 0.58/1.00 | ~ (product @ X4 @ X3 @ (multiply @ identity @ X0)))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl38])).
% 0.58/1.00 thf(zip_derived_cl527, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (~ (product @ X2 @ X1 @ X0)
% 0.58/1.00 | (product @ identity @ X0 @ (multiply @ X2 @ X1)))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl66])).
% 0.58/1.00 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(a_equals_b, axiom, (equalish @ a @ b)).
% 0.58/1.00 thf(zip_derived_cl7, plain, ( (equalish @ a @ b)),
% 0.58/1.00 inference('cnf', [status(esa)], [a_equals_b])).
% 0.58/1.00 thf(zip_derived_cl6, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.00 (~ (equalish @ X0 @ X1)
% 0.58/1.00 | ~ (product @ X2 @ X3 @ X0)
% 0.58/1.00 | (product @ X2 @ X3 @ X1))),
% 0.58/1.00 inference('cnf', [status(esa)], [product_substitution3])).
% 0.58/1.00 thf(zip_derived_cl11, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 ( (product @ X1 @ X0 @ b) | ~ (product @ X1 @ X0 @ a))),
% 0.58/1.00 inference('dp-resolution', [status(thm)],
% 0.58/1.00 [zip_derived_cl7, zip_derived_cl6])).
% 0.58/1.00 thf(zip_derived_cl51, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.00 (~ (product @ X1 @ X0 @ X3)
% 0.58/1.00 | (product @ X2 @ X3 @ (multiply @ (multiply @ X2 @ X1) @ X0)))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl14])).
% 0.58/1.00 thf(zip_derived_cl527, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (~ (product @ X2 @ X1 @ X0)
% 0.58/1.00 | (product @ identity @ X0 @ (multiply @ X2 @ X1)))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl66])).
% 0.58/1.00 thf(zip_derived_cl3, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/1.00 (~ (product @ X0 @ X1 @ X2)
% 0.58/1.00 | ~ (product @ X0 @ X1 @ X3)
% 0.58/1.00 | (equalish @ X2 @ X3))),
% 0.58/1.00 inference('cnf', [status(esa)], [total_function2])).
% 0.58/1.00 thf(prove_multiply_substitution2, conjecture,
% 0.58/1.00 (equalish @ ( multiply @ c @ a ) @ ( multiply @ c @ b ))).
% 0.58/1.00 thf(zf_stmt_0, negated_conjecture,
% 0.58/1.00 (~( equalish @ ( multiply @ c @ a ) @ ( multiply @ c @ b ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [prove_multiply_substitution2])).
% 0.58/1.00 thf(zip_derived_cl8, plain,
% 0.58/1.00 (~ (equalish @ (multiply @ c @ a) @ (multiply @ c @ b))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.00 thf(zip_derived_cl10, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 (~ (product @ X1 @ X0 @ (multiply @ c @ b))
% 0.58/1.00 | ~ (product @ X1 @ X0 @ (multiply @ c @ a)))),
% 0.58/1.00 inference('dp-resolution', [status(thm)],
% 0.58/1.00 [zip_derived_cl3, zip_derived_cl8])).
% 0.58/1.00 thf(zip_derived_cl609, plain,
% 0.58/1.00 (![X0 : $i]:
% 0.58/1.00 (~ (product @ c @ b @ X0)
% 0.58/1.00 | ~ (product @ identity @ X0 @ (multiply @ c @ a)))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl527, zip_derived_cl10])).
% 0.58/1.00 thf(zip_derived_cl625, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 (~ (product @ X1 @ X0 @ b)
% 0.58/1.00 | ~ (product @ identity @ (multiply @ (multiply @ c @ X1) @ X0) @
% 0.58/1.00 (multiply @ c @ a)))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl609])).
% 0.58/1.00 thf(zip_derived_cl658, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i]:
% 0.58/1.00 (~ (product @ X1 @ X0 @ a)
% 0.58/1.00 | ~ (product @ identity @ (multiply @ (multiply @ c @ X1) @ X0) @
% 0.58/1.00 (multiply @ c @ a)))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl625])).
% 0.58/1.00 thf(zip_derived_cl667, plain,
% 0.58/1.00 (~ (product @ identity @ (multiply @ (multiply @ c @ identity) @ a) @
% 0.58/1.00 (multiply @ c @ a))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl658])).
% 0.58/1.00 thf(zip_derived_cl672, plain,
% 0.58/1.00 (~ (product @ c @ a @ (multiply @ (multiply @ c @ identity) @ a))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl527, zip_derived_cl667])).
% 0.58/1.00 thf(zip_derived_cl673, plain, (~ (product @ identity @ a @ a)),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl672])).
% 0.58/1.00 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.58/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.58/1.00 thf(zip_derived_cl675, plain, ($false),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl673, zip_derived_cl0])).
% 0.58/1.00
% 0.58/1.00 % SZS output end Refutation
% 0.58/1.00
% 0.58/1.00
% 0.58/1.00 % Terminating...
% 1.76/1.10 % Runner terminated.
% 1.80/1.12 % Zipperpin 1.5 exiting
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