%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ROB014-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pyWYygj6CN 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 Oct 2 04:50:39 PM UTC 2025
% Result : Unsatisfiable 21.78s 3.73s
% Output : Refutation 21.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ROB014-2 : TPTP v9.2.0. Released v1.0.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pyWYygj6CN true
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 12:25:23 EDT 2025
% 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
% 0.14/0.36 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 21.78/3.73 % Solved by fo/fo3_bce.sh.
% 21.78/3.73 % BCE start: 11
% 21.78/3.73 % BCE eliminated: 0
% 21.78/3.73 % PE start: 11
% 21.78/3.73 logic: eq
% 21.78/3.73 % PE eliminated: 0
% 21.78/3.73 % done 500 iterations in 2.971s
% 21.78/3.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 21.78/3.73 % SZS output start Refutation
% 21.78/3.73 thf(d_type, type, d: $i).
% 21.78/3.73 thf(negate_type, type, negate: $i > $i).
% 21.78/3.73 thf(multiply_type, type, multiply: $i > $i > $i).
% 21.78/3.73 thf(e_type, type, e: $i).
% 21.78/3.73 thf(add_type, type, add: $i > $i > $i).
% 21.78/3.73 thf(one_type, type, one: $i).
% 21.78/3.73 thf(positive_integer_type, type, positive_integer: $i > $o).
% 21.78/3.73 thf(one_times_x, axiom, (( multiply @ one @ X ) = ( X ))).
% 21.78/3.73 thf(zip_derived_cl3, plain, (![X0 : $i]: ((multiply @ one @ X0) = (X0))),
% 21.78/3.73 inference('cnf', [status(esa)], [one_times_x])).
% 21.78/3.73 thf(lemma_3_4, axiom,
% 21.78/3.73 (( ( negate @ ( add @ X @ ( negate @ Y ) ) ) != ( Z ) ) |
% 21.78/3.73 ( ~( positive_integer @ Vk ) ) |
% 21.78/3.73 ( ( negate @
% 21.78/3.73 ( add @
% 21.78/3.73 X @ ( negate @ ( add @ Y @ ( multiply @ Vk @ ( add @ X @ Z ) ) ) ) ) ) =
% 21.78/3.73 ( Z ) ))).
% 21.78/3.73 thf(zip_derived_cl8, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.78/3.73 (((negate @ (add @ X1 @ (negate @ X2))) != (X0))
% 21.78/3.73 | ~ (positive_integer @ X3)
% 21.78/3.73 | ((negate @
% 21.78/3.73 (add @ X1 @
% 21.78/3.73 (negate @ (add @ X2 @ (multiply @ X3 @ (add @ X1 @ X0))))))
% 21.78/3.73 = (X0)))),
% 21.78/3.73 inference('cnf', [status(esa)], [lemma_3_4])).
% 21.78/3.73 thf(zip_derived_cl91, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.78/3.73 (((negate @ (add @ X1 @ (negate @ (add @ X2 @ (add @ X1 @ X0)))))
% 21.78/3.73 = (X0))
% 21.78/3.73 | ~ (positive_integer @ one)
% 21.78/3.73 | ((negate @ (add @ X1 @ (negate @ X2))) != (X0)))),
% 21.78/3.73 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 21.78/3.73 thf(one, axiom, (positive_integer @ one)).
% 21.78/3.73 thf(zip_derived_cl5, plain, ( (positive_integer @ one)),
% 21.78/3.73 inference('cnf', [status(esa)], [one])).
% 21.78/3.73 thf(zip_derived_cl97, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.78/3.73 (((negate @ (add @ X1 @ (negate @ (add @ X2 @ (add @ X1 @ X0)))))
% 21.78/3.73 = (X0))
% 21.78/3.73 | ((negate @ (add @ X1 @ (negate @ X2))) != (X0)))),
% 21.78/3.73 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl5])).
% 21.78/3.73 thf(condition, axiom,
% 21.78/3.73 (( negate @
% 21.78/3.73 ( add @ ( negate @ e ) @ ( negate @ ( add @ d @ ( negate @ e ) ) ) ) ) =
% 21.78/3.73 ( d ))).
% 21.78/3.73 thf(zip_derived_cl9, plain,
% 21.78/3.73 (((negate @ (add @ (negate @ e) @ (negate @ (add @ d @ (negate @ e)))))
% 21.78/3.73 = (d))),
% 21.78/3.73 inference('cnf', [status(esa)], [condition])).
% 21.78/3.73 thf(commutativity_of_add, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 21.78/3.73 thf(zip_derived_cl0, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 21.78/3.73 inference('cnf', [status(esa)], [commutativity_of_add])).
% 21.78/3.73 thf(robbins_axiom, axiom,
% 21.78/3.73 (( negate @
% 21.78/3.73 ( add @
% 21.78/3.73 ( negate @ ( add @ X @ Y ) ) @
% 21.78/3.73 ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) ) =
% 21.78/3.73 ( X ))).
% 21.78/3.73 thf(zip_derived_cl2, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i]:
% 21.78/3.73 ((negate @
% 21.78/3.73 (add @ (negate @ (add @ X0 @ X1)) @
% 21.78/3.73 (negate @ (add @ X0 @ (negate @ X1)))))
% 21.78/3.73 = (X0))),
% 21.78/3.73 inference('cnf', [status(esa)], [robbins_axiom])).
% 21.78/3.73 thf(zip_derived_cl60, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i]:
% 21.78/3.73 ((negate @
% 21.78/3.73 (add @ (negate @ (add @ X0 @ X1)) @
% 21.78/3.73 (negate @ (add @ (negate @ X1) @ X0))))
% 21.78/3.73 = (X0))),
% 21.78/3.73 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 21.78/3.73 thf(zip_derived_cl2693, plain,
% 21.78/3.73 (((negate @
% 21.78/3.73 (add @ (negate @ (add @ (negate @ (add @ d @ (negate @ e))) @ e)) @ d))
% 21.78/3.73 = (negate @ (add @ d @ (negate @ e))))),
% 21.78/3.73 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl60])).
% 21.78/3.73 thf(zip_derived_cl0, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 21.78/3.73 inference('cnf', [status(esa)], [commutativity_of_add])).
% 21.78/3.73 thf(zip_derived_cl0, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 21.78/3.73 inference('cnf', [status(esa)], [commutativity_of_add])).
% 21.78/3.73 thf(zip_derived_cl2765, plain,
% 21.78/3.73 (((negate @
% 21.78/3.73 (add @ d @ (negate @ (add @ e @ (negate @ (add @ d @ (negate @ e)))))))
% 21.78/3.73 = (negate @ (add @ d @ (negate @ e))))),
% 21.78/3.73 inference('demod', [status(thm)],
% 21.78/3.73 [zip_derived_cl2693, zip_derived_cl0, zip_derived_cl0])).
% 21.78/3.73 thf(zip_derived_cl2, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i]:
% 21.78/3.73 ((negate @
% 21.78/3.73 (add @ (negate @ (add @ X0 @ X1)) @
% 21.78/3.73 (negate @ (add @ X0 @ (negate @ X1)))))
% 21.78/3.73 = (X0))),
% 21.78/3.73 inference('cnf', [status(esa)], [robbins_axiom])).
% 21.78/3.73 thf(zip_derived_cl2831, plain,
% 21.78/3.73 (((negate @
% 21.78/3.73 (add @
% 21.78/3.73 (negate @ (add @ d @ (add @ e @ (negate @ (add @ d @ (negate @ e)))))) @
% 21.78/3.73 (negate @ (add @ d @ (negate @ e)))))
% 21.78/3.73 = (d))),
% 21.78/3.73 inference('sup+', [status(thm)], [zip_derived_cl2765, zip_derived_cl2])).
% 21.78/3.73 thf(zip_derived_cl0, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 21.78/3.73 inference('cnf', [status(esa)], [commutativity_of_add])).
% 21.78/3.73 thf(associativity_of_add, axiom,
% 21.78/3.73 (( add @ ( add @ X @ Y ) @ Z ) = ( add @ X @ ( add @ Y @ Z ) ))).
% 21.78/3.73 thf(zip_derived_cl1, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.78/3.73 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 21.78/3.73 inference('cnf', [status(esa)], [associativity_of_add])).
% 21.78/3.73 thf(zip_derived_cl0, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 21.78/3.73 inference('cnf', [status(esa)], [commutativity_of_add])).
% 21.78/3.73 thf(zip_derived_cl22, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.78/3.73 ((add @ X0 @ (add @ X2 @ X1)) = (add @ X2 @ (add @ X1 @ X0)))),
% 21.78/3.73 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 21.78/3.73 thf(zip_derived_cl133, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.78/3.73 ((add @ X1 @ (add @ X2 @ X0)) = (add @ X2 @ (add @ X1 @ X0)))),
% 21.78/3.73 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl22])).
% 21.78/3.73 thf(zip_derived_cl0, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 21.78/3.73 inference('cnf', [status(esa)], [commutativity_of_add])).
% 21.78/3.73 thf(zip_derived_cl2842, plain,
% 21.78/3.73 (((negate @
% 21.78/3.73 (add @ (negate @ (add @ d @ (negate @ e))) @
% 21.78/3.73 (negate @ (add @ e @ (add @ d @ (negate @ (add @ d @ (negate @ e))))))))
% 21.78/3.73 = (d))),
% 21.78/3.73 inference('demod', [status(thm)],
% 21.78/3.73 [zip_derived_cl2831, zip_derived_cl133, zip_derived_cl0])).
% 21.78/3.73 thf(zip_derived_cl0, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 21.78/3.73 inference('cnf', [status(esa)], [commutativity_of_add])).
% 21.78/3.73 thf(zip_derived_cl0, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 21.78/3.73 inference('cnf', [status(esa)], [commutativity_of_add])).
% 21.78/3.73 thf(zip_derived_cl0, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 21.78/3.73 inference('cnf', [status(esa)], [commutativity_of_add])).
% 21.78/3.73 thf(lemma_3_2, axiom,
% 21.78/3.73 (( ( negate @ ( add @ X @ ( negate @ ( add @ Y @ Z ) ) ) ) !=
% 21.78/3.73 ( negate @ ( add @ Y @ ( negate @ ( add @ X @ Z ) ) ) ) ) |
% 21.78/3.73 ( ( X ) = ( Y ) ))).
% 21.78/3.73 thf(zip_derived_cl7, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.78/3.73 (((negate @ (add @ X1 @ (negate @ (add @ X0 @ X2))))
% 21.78/3.73 != (negate @ (add @ X0 @ (negate @ (add @ X1 @ X2)))))
% 21.78/3.73 | ((X1) = (X0)))),
% 21.78/3.73 inference('cnf', [status(esa)], [lemma_3_2])).
% 21.78/3.73 thf(zip_derived_cl31, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.78/3.73 (((negate @ (add @ (negate @ (add @ X2 @ X1)) @ X0))
% 21.78/3.73 != (negate @ (add @ X2 @ (negate @ (add @ X0 @ X1)))))
% 21.78/3.73 | ((X0) = (X2)))),
% 21.78/3.73 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7])).
% 21.78/3.73 thf(zip_derived_cl403, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.78/3.73 (((negate @ (add @ (negate @ (add @ X2 @ X1)) @ X0))
% 21.78/3.73 != (negate @ (add @ X2 @ (negate @ (add @ X1 @ X0)))))
% 21.78/3.73 | ((X0) = (X2)))),
% 21.78/3.73 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl31])).
% 21.78/3.73 thf(zip_derived_cl438, plain,
% 21.78/3.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.78/3.73 (((negate @ (add @ (negate @ (add @ X1 @ X0)) @ X2))
% 21.78/3.73 != (negate @ (add @ X0 @ (negate @ (add @ X1 @ X2)))))
% 21.78/3.73 | ((X2) = (X0)))),
% 21.78/3.73 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl403])).
% 21.78/3.73 thf(zip_derived_cl3827, plain,
% 21.78/3.73 ((((d)
% 21.78/3.73 != (negate @
% 21.78/3.73 (add @ (negate @ e) @
% 21.78/3.73 (negate @
% 21.78/3.73 (add @ d @
% 21.78/3.73 (negate @
% 21.78/3.73 (add @ e @ (add @ d @ (negate @ (add @ d @ (negate @ e)))))))))))
% 21.78/3.73 | ((negate @
% 21.78/3.73 (add @ e @ (add @ d @ (negate @ (add @ d @ (negate @ e))))))
% 21.78/3.73 = (negate @ e)))),
% 21.78/3.73 inference('sup-', [status(thm)], [zip_derived_cl2842, zip_derived_cl438])).
% 21.78/3.73 thf(prove_base_step, conjecture,
% 21.78/3.73 (( negate @
% 21.78/3.73 ( add @
% 21.78/3.73 e @
% 21.78/3.73 ( multiply @
% 21.78/3.73 one @ ( add @ d @ ( negate @ ( add @ d @ ( negate @ e ) ) ) ) ) ) ) =
% 21.78/3.73 ( negate @ e ))).
% 21.78/3.73 thf(zf_stmt_0, negated_conjecture,
% 21.78/3.73 (( negate @
% 21.78/3.73 ( add @
% 21.78/3.73 e @
% 21.78/3.73 ( multiply @
% 21.78/3.73 one @ ( add @ d @ ( negate @ ( add @ d @ ( negate @ e ) ) ) ) ) ) ) !=
% 21.78/3.73 ( negate @ e )),
% 21.78/3.73 inference('cnf.neg', [status(esa)], [prove_base_step])).
% 21.78/3.73 thf(zip_derived_cl10, plain,
% 21.78/3.73 (((negate @
% 21.78/3.73 (add @ e @
% 21.78/3.73 (multiply @ one @ (add @ d @ (negate @ (add @ d @ (negate @ e)))))))
% 21.78/3.73 != (negate @ e))),
% 21.78/3.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 21.78/3.73 thf(zip_derived_cl3, plain, (![X0 : $i]: ((multiply @ one @ X0) = (X0))),
% 21.78/3.73 inference('cnf', [status(esa)], [one_times_x])).
% 21.78/3.73 thf(zip_derived_cl21, plain,
% 21.78/3.73 (((negate @ (add @ e @ (add @ d @ (negate @ (add @ d @ (negate @ e))))))
% 21.78/3.73 != (negate @ e))),
% 21.78/3.73 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl3])).
% 21.78/3.73 thf(zip_derived_cl3846, plain,
% 21.78/3.73 (((d)
% 21.78/3.73 != (negate @
% 21.78/3.73 (add @ (negate @ e) @
% 21.78/3.73 (negate @
% 21.78/3.73 (add @ d @
% 21.78/3.73 (negate @
% 21.78/3.73 (add @ e @ (add @ d @ (negate @ (add @ d @ (negate @ e)))))))))))),
% 21.78/3.73 inference('simplify_reflect-', [status(thm)],
% 21.78/3.73 [zip_derived_cl3827, zip_derived_cl21])).
% 21.78/3.73 thf(zip_derived_cl6497, plain,
% 21.78/3.73 ((((d)
% 21.78/3.73 != (negate @
% 21.78/3.73 (add @ (negate @ e) @ (negate @ (add @ d @ (negate @ e))))))
% 21.78/3.73 | ((negate @ (add @ d @ (negate @ e)))
% 21.78/3.73 != (negate @ (add @ d @ (negate @ e)))))),
% 21.78/3.73 inference('sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl3846])).
% 21.78/3.73 thf(zip_derived_cl9, plain,
% 21.78/3.73 (((negate @ (add @ (negate @ e) @ (negate @ (add @ d @ (negate @ e)))))
% 21.78/3.73 = (d))),
% 21.78/3.73 inference('cnf', [status(esa)], [condition])).
% 21.78/3.73 thf(zip_derived_cl6602, plain,
% 21.78/3.73 ((((d) != (d))
% 21.78/3.73 | ((negate @ (add @ d @ (negate @ e)))
% 21.78/3.73 != (negate @ (add @ d @ (negate @ e)))))),
% 21.78/3.73 inference('demod', [status(thm)], [zip_derived_cl6497, zip_derived_cl9])).
% 21.78/3.73 thf(zip_derived_cl6603, plain, ($false),
% 21.78/3.73 inference('simplify', [status(thm)], [zip_derived_cl6602])).
% 21.78/3.73
% 21.78/3.73 % SZS output end Refutation
% 21.78/3.73
% 21.78/3.73
% 21.78/3.73 % Terminating...
% 21.78/3.77 % Runner terminated.
% 21.78/3.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------