TSTP Solution File: RNG001-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG001-1 : 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.YcMKrJDIhr true
% Computer : n015.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 14:06:11 EDT 2023
% Result : Unsatisfiable 9.43s 1.98s
% Output : Refutation 9.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG001-1 : 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.YcMKrJDIhr true
% 0.18/0.35 % Computer : n015.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Sun Aug 27 02:50:08 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 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/fo5.sh running for 50s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.43/1.98 % Solved by fo/fo1_av.sh.
% 9.43/1.98 % done 1561 iterations in 1.201s
% 9.43/1.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.43/1.98 % SZS output start Refutation
% 9.43/1.98 thf(multiply_type, type, multiply: $i > $i > $i).
% 9.43/1.98 thf(a_type, type, a: $i).
% 9.43/1.98 thf(sum_type, type, sum: $i > $i > $i > $o).
% 9.43/1.98 thf(product_type, type, product: $i > $i > $i > $o).
% 9.43/1.98 thf(additive_identity_type, type, additive_identity: $i).
% 9.43/1.98 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 9.43/1.98 thf(add_type, type, add: $i > $i > $i).
% 9.43/1.98 thf(prove_a_times_0_is_0, conjecture,
% 9.43/1.98 (product @ a @ additive_identity @ additive_identity)).
% 9.43/1.98 thf(zf_stmt_0, negated_conjecture,
% 9.43/1.98 (~( product @ a @ additive_identity @ additive_identity )),
% 9.43/1.98 inference('cnf.neg', [status(esa)], [prove_a_times_0_is_0])).
% 9.43/1.98 thf(zip_derived_cl17, plain,
% 9.43/1.98 (~ (product @ a @ additive_identity @ additive_identity)),
% 9.43/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.43/1.98 thf(additive_identity2, axiom, (sum @ X @ additive_identity @ X)).
% 9.43/1.98 thf(zip_derived_cl1, plain,
% 9.43/1.98 (![X0 : $i]: (sum @ X0 @ additive_identity @ X0)),
% 9.43/1.98 inference('cnf', [status(esa)], [additive_identity2])).
% 9.43/1.98 thf(closure_of_multiplication, axiom,
% 9.43/1.98 (product @ X @ Y @ ( multiply @ X @ Y ))).
% 9.43/1.98 thf(zip_derived_cl2, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 9.43/1.98 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 9.43/1.98 thf(distributivity1, axiom,
% 9.43/1.98 (( ~( product @ X @ Y @ V1 ) ) | ( ~( product @ X @ Z @ V2 ) ) |
% 9.43/1.98 ( ~( sum @ Y @ Z @ V3 ) ) | ( ~( product @ X @ V3 @ V4 ) ) |
% 9.43/1.98 ( sum @ V1 @ V2 @ V4 ))).
% 9.43/1.98 thf(zip_derived_cl11, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.43/1.98 (~ (product @ X0 @ X1 @ X2)
% 9.43/1.98 | ~ (product @ X0 @ X3 @ X4)
% 9.43/1.98 | ~ (sum @ X1 @ X3 @ X5)
% 9.43/1.98 | ~ (product @ X0 @ X5 @ X6)
% 9.43/1.98 | (sum @ X2 @ X4 @ X6))),
% 9.43/1.98 inference('cnf', [status(esa)], [distributivity1])).
% 9.43/1.98 thf(zip_derived_cl91, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.43/1.98 ( (sum @ X0 @ X0 @ X3)
% 9.43/1.98 | ~ (product @ X2 @ X4 @ X3)
% 9.43/1.98 | ~ (sum @ X1 @ X1 @ X4)
% 9.43/1.98 | ~ (product @ X2 @ X1 @ X0))),
% 9.43/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl11])).
% 9.43/1.98 thf(zip_derived_cl652, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.43/1.98 (~ (product @ X2 @ X1 @ X0)
% 9.43/1.98 | ~ (sum @ X1 @ X1 @ X1)
% 9.43/1.98 | (sum @ X0 @ X0 @ X0))),
% 9.43/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl91])).
% 9.43/1.98 thf(zip_derived_cl654, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i]:
% 9.43/1.98 (~ (sum @ X0 @ X0 @ X0)
% 9.43/1.98 | (sum @ (multiply @ X1 @ X0) @ (multiply @ X1 @ X0) @
% 9.43/1.98 (multiply @ X1 @ X0)))),
% 9.43/1.98 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl652])).
% 9.43/1.98 thf(closure_of_addition, axiom, (sum @ X @ Y @ ( add @ X @ Y ))).
% 9.43/1.98 thf(zip_derived_cl3, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 9.43/1.98 inference('cnf', [status(esa)], [closure_of_addition])).
% 9.43/1.98 thf(left_inverse, axiom,
% 9.43/1.98 (sum @ ( additive_inverse @ X ) @ X @ additive_identity)).
% 9.43/1.98 thf(zip_derived_cl4, plain,
% 9.43/1.98 (![X0 : $i]: (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)),
% 9.43/1.98 inference('cnf', [status(esa)], [left_inverse])).
% 9.43/1.98 thf(associativity_of_addition2, axiom,
% 9.43/1.98 (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ Y @ Z @ V ) ) |
% 9.43/1.98 ( ~( sum @ X @ V @ W ) ) | ( sum @ U @ Z @ W ))).
% 9.43/1.98 thf(zip_derived_cl7, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.43/1.98 (~ (sum @ X0 @ X1 @ X2)
% 9.43/1.98 | ~ (sum @ X1 @ X3 @ X4)
% 9.43/1.98 | ~ (sum @ X0 @ X4 @ X5)
% 9.43/1.98 | (sum @ X2 @ X3 @ X5))),
% 9.43/1.98 inference('cnf', [status(esa)], [associativity_of_addition2])).
% 9.43/1.98 thf(zip_derived_cl74, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.43/1.98 (~ (sum @ X0 @ X2 @ X1)
% 9.43/1.98 | ~ (sum @ (additive_inverse @ X0) @ X1 @ X3)
% 9.43/1.98 | (sum @ additive_identity @ X2 @ X3))),
% 9.43/1.98 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl7])).
% 9.43/1.98 thf(zip_derived_cl427, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.43/1.98 (~ (sum @ X1 @ X2 @ X0)
% 9.43/1.98 | (sum @ additive_identity @ X2 @
% 9.43/1.98 (add @ (additive_inverse @ X1) @ X0)))),
% 9.43/1.98 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl74])).
% 9.43/1.98 thf(additive_identity1, axiom, (sum @ additive_identity @ X @ X)).
% 9.43/1.98 thf(zip_derived_cl0, plain,
% 9.43/1.98 (![X0 : $i]: (sum @ additive_identity @ X0 @ X0)),
% 9.43/1.98 inference('cnf', [status(esa)], [additive_identity1])).
% 9.43/1.98 thf(addition_is_well_defined, axiom,
% 9.43/1.98 (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ X @ Y @ V ) ) | ( ( U ) = ( V ) ))).
% 9.43/1.98 thf(zip_derived_cl15, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.43/1.98 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 9.43/1.98 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 9.43/1.98 thf(zip_derived_cl27, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i]:
% 9.43/1.98 (~ (sum @ additive_identity @ X0 @ X1) | ((X0) = (X1)))),
% 9.43/1.98 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl15])).
% 9.43/1.98 thf(zip_derived_cl4427, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.43/1.98 (~ (sum @ X1 @ X2 @ X0)
% 9.43/1.98 | ((X2) = (add @ (additive_inverse @ X1) @ X0)))),
% 9.43/1.98 inference('s_sup-', [status(thm)], [zip_derived_cl427, zip_derived_cl27])).
% 9.43/1.98 thf(zip_derived_cl6712, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i]:
% 9.43/1.98 (~ (sum @ X0 @ X0 @ X0)
% 9.43/1.98 | ((multiply @ X1 @ X0)
% 9.43/1.98 = (add @ (additive_inverse @ (multiply @ X1 @ X0)) @
% 9.43/1.98 (multiply @ X1 @ X0))))),
% 9.43/1.98 inference('s_sup-', [status(thm)],
% 9.43/1.98 [zip_derived_cl654, zip_derived_cl4427])).
% 9.43/1.98 thf(zip_derived_cl4, plain,
% 9.43/1.98 (![X0 : $i]: (sum @ (additive_inverse @ X0) @ X0 @ additive_identity)),
% 9.43/1.98 inference('cnf', [status(esa)], [left_inverse])).
% 9.43/1.98 thf(zip_derived_cl15, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.43/1.98 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 9.43/1.98 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 9.43/1.98 thf(zip_derived_cl28, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i]:
% 9.43/1.98 (~ (sum @ (additive_inverse @ X0) @ X0 @ X1)
% 9.43/1.98 | ((additive_identity) = (X1)))),
% 9.43/1.98 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl15])).
% 9.43/1.98 thf(zip_derived_cl3, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 9.43/1.98 inference('cnf', [status(esa)], [closure_of_addition])).
% 9.43/1.98 thf(zip_derived_cl78, plain,
% 9.43/1.98 (![X0 : $i]: ((additive_identity) = (add @ (additive_inverse @ X0) @ X0))),
% 9.43/1.98 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl3])).
% 9.43/1.98 thf(zip_derived_cl6716, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i]:
% 9.43/1.98 (~ (sum @ X0 @ X0 @ X0) | ((multiply @ X1 @ X0) = (additive_identity)))),
% 9.43/1.98 inference('demod', [status(thm)], [zip_derived_cl6712, zip_derived_cl78])).
% 9.43/1.98 thf(zip_derived_cl6717, plain,
% 9.43/1.98 (![X0 : $i]: ((multiply @ X0 @ additive_identity) = (additive_identity))),
% 9.43/1.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6716])).
% 9.43/1.98 thf(zip_derived_cl2, plain,
% 9.43/1.98 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 9.43/1.98 inference('cnf', [status(esa)], [closure_of_multiplication])).
% 9.43/1.98 thf(zip_derived_cl6727, plain,
% 9.43/1.98 (![X0 : $i]: (product @ X0 @ additive_identity @ additive_identity)),
% 9.43/1.98 inference('s_sup+', [status(thm)], [zip_derived_cl6717, zip_derived_cl2])).
% 9.43/1.98 thf(zip_derived_cl6742, plain, ($false),
% 9.43/1.98 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl6727])).
% 9.43/1.98
% 9.43/1.98 % SZS output end Refutation
% 9.43/1.98
% 9.43/1.98
% 9.43/1.98 % Terminating...
% 10.05/2.05 % Runner terminated.
% 10.05/2.07 % Zipperpin 1.5 exiting
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