TSTP Solution File: RNG003-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG003-1 : 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.tYQlL14OOb true
% Computer : n010.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 14:06:13 EDT 2023
% Result : Unsatisfiable 1.56s 0.85s
% Output : Refutation 1.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG003-1 : 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.tYQlL14OOb true
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 01:34:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % 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
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /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
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.56/0.85 % Solved by fo/fo5.sh.
% 1.56/0.85 % done 237 iterations in 0.074s
% 1.56/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.56/0.85 % SZS output start Refutation
% 1.56/0.85 thf(a_type, type, a: $i).
% 1.56/0.85 thf(sum_type, type, sum: $i > $i > $i > $o).
% 1.56/0.85 thf(d_type, type, d: $i).
% 1.56/0.85 thf(additive_identity_type, type, additive_identity: $i).
% 1.56/0.85 thf(c_type, type, c: $i).
% 1.56/0.85 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 1.56/0.85 thf(b_type, type, b: $i).
% 1.56/0.85 thf(add_type, type, add: $i > $i > $i).
% 1.56/0.85 thf(closure_of_addition, axiom, (sum @ X @ Y @ ( add @ X @ Y ))).
% 1.56/0.85 thf(zip_derived_cl3, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 1.56/0.85 inference('cnf', [status(esa)], [closure_of_addition])).
% 1.56/0.85 thf(zip_derived_cl3, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 1.56/0.85 inference('cnf', [status(esa)], [closure_of_addition])).
% 1.56/0.85 thf(b_plus_c_is_d, axiom, (sum @ b @ c @ d)).
% 1.56/0.85 thf(zip_derived_cl18, plain, ( (sum @ b @ c @ d)),
% 1.56/0.85 inference('cnf', [status(esa)], [b_plus_c_is_d])).
% 1.56/0.85 thf(commutativity_of_addition, axiom,
% 1.56/0.85 (( ~( sum @ X @ Y @ Z ) ) | ( sum @ Y @ X @ Z ))).
% 1.56/0.85 thf(zip_derived_cl8, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.56/0.85 (~ (sum @ X0 @ X1 @ X2) | (sum @ X1 @ X0 @ X2))),
% 1.56/0.85 inference('cnf', [status(esa)], [commutativity_of_addition])).
% 1.56/0.85 thf(zip_derived_cl26, plain, ( (sum @ c @ b @ d)),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl8])).
% 1.56/0.85 thf(addition_is_well_defined, axiom,
% 1.56/0.85 (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ X @ Y @ V ) ) | ( ( U ) = ( V ) ))).
% 1.56/0.85 thf(zip_derived_cl15, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.56/0.85 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 1.56/0.85 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 1.56/0.85 thf(zip_derived_cl49, plain,
% 1.56/0.85 (![X0 : $i]: (((d) = (X0)) | ~ (sum @ c @ b @ X0))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl15])).
% 1.56/0.85 thf(zip_derived_cl100, plain, (((d) = (add @ c @ b))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl49])).
% 1.56/0.85 thf(right_inverse, axiom,
% 1.56/0.85 (sum @ X @ ( additive_inverse @ X ) @ additive_identity)).
% 1.56/0.85 thf(zip_derived_cl5, plain,
% 1.56/0.85 (![X0 : $i]: (sum @ X0 @ (additive_inverse @ X0) @ additive_identity)),
% 1.56/0.85 inference('cnf', [status(esa)], [right_inverse])).
% 1.56/0.85 thf(additive_identity1, axiom, (sum @ additive_identity @ X @ X)).
% 1.56/0.85 thf(zip_derived_cl0, plain,
% 1.56/0.85 (![X0 : $i]: (sum @ additive_identity @ X0 @ X0)),
% 1.56/0.85 inference('cnf', [status(esa)], [additive_identity1])).
% 1.56/0.85 thf(zip_derived_cl5, plain,
% 1.56/0.85 (![X0 : $i]: (sum @ X0 @ (additive_inverse @ X0) @ additive_identity)),
% 1.56/0.85 inference('cnf', [status(esa)], [right_inverse])).
% 1.56/0.85 thf(associativity_of_addition1, axiom,
% 1.56/0.85 (( ~( sum @ X @ Y @ U ) ) | ( ~( sum @ Y @ Z @ V ) ) |
% 1.56/0.85 ( ~( sum @ U @ Z @ W ) ) | ( sum @ X @ V @ W ))).
% 1.56/0.85 thf(zip_derived_cl6, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.56/0.85 (~ (sum @ X0 @ X1 @ X2)
% 1.56/0.85 | ~ (sum @ X1 @ X3 @ X4)
% 1.56/0.85 | ~ (sum @ X2 @ X3 @ X5)
% 1.56/0.85 | (sum @ X0 @ X4 @ X5))),
% 1.56/0.85 inference('cnf', [status(esa)], [associativity_of_addition1])).
% 1.56/0.85 thf(zip_derived_cl30, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.56/0.85 ( (sum @ X0 @ X2 @ X1)
% 1.56/0.85 | ~ (sum @ additive_identity @ X3 @ X1)
% 1.56/0.85 | ~ (sum @ (additive_inverse @ X0) @ X3 @ X2))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 1.56/0.85 thf(zip_derived_cl191, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.56/0.85 (~ (sum @ (additive_inverse @ X2) @ X0 @ X1) | (sum @ X2 @ X1 @ X0))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl30])).
% 1.56/0.85 thf(zip_derived_cl302, plain,
% 1.56/0.85 (![X0 : $i]:
% 1.56/0.85 (sum @ X0 @ additive_identity @
% 1.56/0.85 (additive_inverse @ (additive_inverse @ X0)))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl191])).
% 1.56/0.85 thf(additive_identity2, axiom, (sum @ X @ additive_identity @ X)).
% 1.56/0.85 thf(zip_derived_cl1, plain,
% 1.56/0.85 (![X0 : $i]: (sum @ X0 @ additive_identity @ X0)),
% 1.56/0.85 inference('cnf', [status(esa)], [additive_identity2])).
% 1.56/0.85 thf(zip_derived_cl15, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.56/0.85 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 1.56/0.85 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 1.56/0.85 thf(zip_derived_cl43, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i]:
% 1.56/0.85 (((X0) = (X1)) | ~ (sum @ X0 @ additive_identity @ X1))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl15])).
% 1.56/0.85 thf(zip_derived_cl317, plain,
% 1.56/0.85 (![X0 : $i]: ((X0) = (additive_inverse @ (additive_inverse @ X0)))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl302, zip_derived_cl43])).
% 1.56/0.85 thf(zip_derived_cl3, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 1.56/0.85 inference('cnf', [status(esa)], [closure_of_addition])).
% 1.56/0.85 thf(zip_derived_cl191, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.56/0.85 (~ (sum @ (additive_inverse @ X2) @ X0 @ X1) | (sum @ X2 @ X1 @ X0))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl30])).
% 1.56/0.85 thf(zip_derived_cl299, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i]:
% 1.56/0.85 (sum @ X1 @ (add @ (additive_inverse @ X1) @ X0) @ X0)),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl191])).
% 1.56/0.85 thf(zip_derived_cl15, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.56/0.85 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 1.56/0.85 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 1.56/0.85 thf(zip_derived_cl383, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.56/0.85 (((X0) = (X2))
% 1.56/0.85 | ~ (sum @ X1 @ (add @ (additive_inverse @ X1) @ X0) @ X2))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl299, zip_derived_cl15])).
% 1.56/0.85 thf(zip_derived_cl424, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.56/0.85 (~ (sum @ (additive_inverse @ X0) @ (add @ X0 @ X2) @ X1)
% 1.56/0.85 | ((X2) = (X1)))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl317, zip_derived_cl383])).
% 1.56/0.85 thf(zip_derived_cl504, plain,
% 1.56/0.85 (![X0 : $i]: (~ (sum @ (additive_inverse @ c) @ d @ X0) | ((b) = (X0)))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl424])).
% 1.56/0.85 thf(zip_derived_cl515, plain, (((b) = (add @ (additive_inverse @ c) @ d))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl504])).
% 1.56/0.85 thf(zip_derived_cl3, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 1.56/0.85 inference('cnf', [status(esa)], [closure_of_addition])).
% 1.56/0.85 thf(zip_derived_cl3, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X0 @ X1))),
% 1.56/0.85 inference('cnf', [status(esa)], [closure_of_addition])).
% 1.56/0.85 thf(zip_derived_cl8, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.56/0.85 (~ (sum @ X0 @ X1 @ X2) | (sum @ X1 @ X0 @ X2))),
% 1.56/0.85 inference('cnf', [status(esa)], [commutativity_of_addition])).
% 1.56/0.85 thf(zip_derived_cl20, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i]: (sum @ X0 @ X1 @ (add @ X1 @ X0))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 1.56/0.85 thf(a_plus_c_is_d, axiom, (sum @ a @ c @ d)).
% 1.56/0.85 thf(zip_derived_cl17, plain, ( (sum @ a @ c @ d)),
% 1.56/0.85 inference('cnf', [status(esa)], [a_plus_c_is_d])).
% 1.56/0.85 thf(zip_derived_cl15, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.56/0.85 (~ (sum @ X0 @ X1 @ X2) | ~ (sum @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 1.56/0.85 inference('cnf', [status(esa)], [addition_is_well_defined])).
% 1.56/0.85 thf(zip_derived_cl47, plain,
% 1.56/0.85 (![X0 : $i]: (((d) = (X0)) | ~ (sum @ a @ c @ X0))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl15])).
% 1.56/0.85 thf(zip_derived_cl82, plain, (((d) = (add @ c @ a))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl47])).
% 1.56/0.85 thf(zip_derived_cl424, plain,
% 1.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.56/0.85 (~ (sum @ (additive_inverse @ X0) @ (add @ X0 @ X2) @ X1)
% 1.56/0.85 | ((X2) = (X1)))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl317, zip_derived_cl383])).
% 1.56/0.85 thf(zip_derived_cl503, plain,
% 1.56/0.85 (![X0 : $i]: (~ (sum @ (additive_inverse @ c) @ d @ X0) | ((a) = (X0)))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl424])).
% 1.56/0.85 thf(zip_derived_cl513, plain, (((a) = (add @ (additive_inverse @ c) @ d))),
% 1.56/0.85 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl503])).
% 1.56/0.85 thf(zip_derived_cl587, plain, (((b) = (a))),
% 1.56/0.85 inference('demod', [status(thm)], [zip_derived_cl515, zip_derived_cl513])).
% 1.56/0.85 thf(prove_a_equals_b, conjecture, (( a ) = ( b ))).
% 1.56/0.85 thf(zf_stmt_0, negated_conjecture, (( a ) != ( b )),
% 1.56/0.85 inference('cnf.neg', [status(esa)], [prove_a_equals_b])).
% 1.56/0.85 thf(zip_derived_cl19, plain, (((a) != (b))),
% 1.56/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.56/0.85 thf(zip_derived_cl588, plain, ($false),
% 1.56/0.85 inference('simplify_reflect-', [status(thm)],
% 1.56/0.85 [zip_derived_cl587, zip_derived_cl19])).
% 1.56/0.85
% 1.56/0.85 % SZS output end Refutation
% 1.56/0.85
% 1.56/0.85
% 1.56/0.85 % Terminating...
% 1.95/0.96 % Runner terminated.
% 1.97/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------