%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN134-1 : TPTP v9.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FWIdh8mukY true
% Computer : n017.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 04:49:02 PM UTC 2025
% Result : Unsatisfiable 1.61s 1.08s
% Output : Refutation 1.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUN134-1 : TPTP v9.2.0. Released v8.1.0.
% 0.11/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FWIdh8mukY true
% 0.11/0.31 % Computer : n017.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 12:12:38 EDT 2025
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.31 % Python version: Python 3.6.8
% 0.16/0.32 % Running in FO mode
% 0.16/0.57 % Total configuration time : 435
% 0.16/0.57 % Estimated wc time : 1092
% 0.16/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.89/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.89/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.89/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.89/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.89/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.89/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.89/0.69 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.61/1.08 % Solved by fo/fo7.sh.
% 1.61/1.08 % done 138 iterations in 0.361s
% 1.61/1.08 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.61/1.08 % SZS output start Refutation
% 1.61/1.08 thf(a_type, type, a: $i).
% 1.61/1.08 thf('+_type', type, '+': $i > $i > $i).
% 1.61/1.08 thf(sum_type, type, sum: $i > $i).
% 1.61/1.08 thf(one_type, type, one: $i).
% 1.61/1.08 thf(times_type, type, times: $i > $i > $i).
% 1.61/1.08 thf(s_type, type, s: $i > $i).
% 1.61/1.08 thf(goal, conjecture,
% 1.61/1.08 (( '+' @ ( sum @ ( s @ a ) ) @ ( sum @ ( s @ a ) ) ) =
% 1.61/1.08 ( times @ ( s @ a ) @ ( s @ ( s @ a ) ) ))).
% 1.61/1.08 thf(zf_stmt_0, negated_conjecture,
% 1.61/1.08 (( '+' @ ( sum @ ( s @ a ) ) @ ( sum @ ( s @ a ) ) ) !=
% 1.61/1.08 ( times @ ( s @ a ) @ ( s @ ( s @ a ) ) )),
% 1.61/1.08 inference('cnf.neg', [status(esa)], [goal])).
% 1.61/1.08 thf(zip_derived_cl14, plain,
% 1.61/1.08 ((('+' @ (sum @ (s @ a)) @ (sum @ (s @ a)))
% 1.61/1.08 != (times @ (s @ a) @ (s @ (s @ a))))),
% 1.61/1.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.61/1.08 thf(sum_s, axiom, (( sum @ ( s @ N ) ) = ( '+' @ ( s @ N ) @ ( sum @ N ) ))).
% 1.61/1.08 thf(zip_derived_cl12, plain,
% 1.61/1.08 (![X0 : $i]: ((sum @ (s @ X0)) = ('+' @ (s @ X0) @ (sum @ X0)))),
% 1.61/1.08 inference('cnf', [status(esa)], [sum_s])).
% 1.61/1.08 thf(zip_derived_cl12, plain,
% 1.61/1.08 (![X0 : $i]: ((sum @ (s @ X0)) = ('+' @ (s @ X0) @ (sum @ X0)))),
% 1.61/1.08 inference('cnf', [status(esa)], [sum_s])).
% 1.61/1.08 thf(zip_derived_cl31, plain,
% 1.61/1.08 ((('+' @ ('+' @ (s @ a) @ (sum @ a)) @ ('+' @ (s @ a) @ (sum @ a)))
% 1.61/1.08 != (times @ (s @ a) @ (s @ (s @ a))))),
% 1.61/1.08 inference('demod', [status(thm)],
% 1.61/1.08 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl12])).
% 1.61/1.08 thf(times_s, axiom,
% 1.61/1.08 (( times @ ( s @ X ) @ Y ) = ( '+' @ Y @ ( times @ X @ Y ) ))).
% 1.61/1.08 thf(zip_derived_cl10, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 ((times @ (s @ X1) @ X0) = ('+' @ X0 @ (times @ X1 @ X0)))),
% 1.61/1.08 inference('cnf', [status(esa)], [times_s])).
% 1.61/1.08 thf(zip_derived_cl49, plain,
% 1.61/1.08 ((('+' @ ('+' @ (s @ a) @ (sum @ a)) @ ('+' @ (s @ a) @ (sum @ a)))
% 1.61/1.08 != ('+' @ (s @ (s @ a)) @ (times @ a @ (s @ (s @ a)))))),
% 1.61/1.08 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl10])).
% 1.61/1.08 thf(zip_derived_cl10, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]:
% 1.61/1.08 ((times @ (s @ X1) @ X0) = ('+' @ X0 @ (times @ X1 @ X0)))),
% 1.61/1.08 inference('cnf', [status(esa)], [times_s])).
% 1.61/1.08 thf(times_one, axiom, (( times @ X @ one ) = ( X ))).
% 1.61/1.08 thf(zip_derived_cl6, plain, (![X0 : $i]: ((times @ X0 @ one) = (X0))),
% 1.61/1.08 inference('cnf', [status(esa)], [times_one])).
% 1.61/1.08 thf(zip_derived_cl53, plain,
% 1.61/1.08 (![X0 : $i]: (('+' @ one @ (times @ X0 @ one)) = (s @ X0))),
% 1.61/1.08 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 1.61/1.08 thf(zip_derived_cl6, plain, (![X0 : $i]: ((times @ X0 @ one) = (X0))),
% 1.61/1.08 inference('cnf', [status(esa)], [times_one])).
% 1.61/1.08 thf(zip_derived_cl57, plain, (![X0 : $i]: (('+' @ one @ X0) = (s @ X0))),
% 1.61/1.08 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl6])).
% 1.61/1.08 thf(plus_assoc, axiom,
% 1.61/1.08 (( '+' @ X @ ( '+' @ Y @ Z ) ) = ( '+' @ ( '+' @ X @ Y ) @ Z ))).
% 1.61/1.08 thf(zip_derived_cl1, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (('+' @ X0 @ ('+' @ X1 @ X2)) = ('+' @ ('+' @ X0 @ X1) @ X2))),
% 1.61/1.08 inference('cnf', [status(esa)], [plus_assoc])).
% 1.61/1.08 thf(zip_derived_cl57, plain, (![X0 : $i]: (('+' @ one @ X0) = (s @ X0))),
% 1.61/1.08 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl6])).
% 1.61/1.08 thf(zip_derived_cl1, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (('+' @ X0 @ ('+' @ X1 @ X2)) = ('+' @ ('+' @ X0 @ X1) @ X2))),
% 1.61/1.08 inference('cnf', [status(esa)], [plus_assoc])).
% 1.61/1.08 thf(zip_derived_cl1, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (('+' @ X0 @ ('+' @ X1 @ X2)) = ('+' @ ('+' @ X0 @ X1) @ X2))),
% 1.61/1.08 inference('cnf', [status(esa)], [plus_assoc])).
% 1.61/1.08 thf(zip_derived_cl1, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (('+' @ X0 @ ('+' @ X1 @ X2)) = ('+' @ ('+' @ X0 @ X1) @ X2))),
% 1.61/1.08 inference('cnf', [status(esa)], [plus_assoc])).
% 1.61/1.08 thf(zip_derived_cl57, plain, (![X0 : $i]: (('+' @ one @ X0) = (s @ X0))),
% 1.61/1.08 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl6])).
% 1.61/1.08 thf(zip_derived_cl57, plain, (![X0 : $i]: (('+' @ one @ X0) = (s @ X0))),
% 1.61/1.08 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl6])).
% 1.61/1.08 thf(zip_derived_cl57, plain, (![X0 : $i]: (('+' @ one @ X0) = (s @ X0))),
% 1.61/1.08 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl6])).
% 1.61/1.08 thf(zip_derived_cl57, plain, (![X0 : $i]: (('+' @ one @ X0) = (s @ X0))),
% 1.61/1.08 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl6])).
% 1.61/1.08 thf(zip_derived_cl1, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (('+' @ X0 @ ('+' @ X1 @ X2)) = ('+' @ ('+' @ X0 @ X1) @ X2))),
% 1.61/1.08 inference('cnf', [status(esa)], [plus_assoc])).
% 1.61/1.08 thf(zip_derived_cl1, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (('+' @ X0 @ ('+' @ X1 @ X2)) = ('+' @ ('+' @ X0 @ X1) @ X2))),
% 1.61/1.08 inference('cnf', [status(esa)], [plus_assoc])).
% 1.61/1.08 thf(zip_derived_cl89, plain,
% 1.61/1.08 ((('+' @ one @
% 1.61/1.08 ('+' @ a @ ('+' @ (sum @ a) @ ('+' @ one @ ('+' @ a @ (sum @ a))))))
% 1.61/1.08 != ('+' @ one @
% 1.61/1.08 ('+' @ one @
% 1.61/1.08 ('+' @ a @ (times @ a @ ('+' @ one @ ('+' @ one @ a)))))))),
% 1.61/1.08 inference('demod', [status(thm)],
% 1.61/1.08 [zip_derived_cl49, zip_derived_cl57, zip_derived_cl1,
% 1.61/1.08 zip_derived_cl57, zip_derived_cl1, zip_derived_cl1,
% 1.61/1.08 zip_derived_cl1, zip_derived_cl57, zip_derived_cl57,
% 1.61/1.08 zip_derived_cl57, zip_derived_cl57, zip_derived_cl1,
% 1.61/1.08 zip_derived_cl1])).
% 1.61/1.08 thf(distr, axiom,
% 1.61/1.08 (( times @ X @ ( '+' @ Y @ Z ) ) =
% 1.61/1.08 ( '+' @ ( times @ X @ Y ) @ ( times @ X @ Z ) ))).
% 1.61/1.08 thf(zip_derived_cl7, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 ((times @ X0 @ ('+' @ X1 @ X2))
% 1.61/1.08 = ('+' @ (times @ X0 @ X1) @ (times @ X0 @ X2)))),
% 1.61/1.08 inference('cnf', [status(esa)], [distr])).
% 1.61/1.08 thf(zip_derived_cl6, plain, (![X0 : $i]: ((times @ X0 @ one) = (X0))),
% 1.61/1.08 inference('cnf', [status(esa)], [times_one])).
% 1.61/1.08 thf(zip_derived_cl7, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 ((times @ X0 @ ('+' @ X1 @ X2))
% 1.61/1.08 = ('+' @ (times @ X0 @ X1) @ (times @ X0 @ X2)))),
% 1.61/1.08 inference('cnf', [status(esa)], [distr])).
% 1.61/1.08 thf(zip_derived_cl6, plain, (![X0 : $i]: ((times @ X0 @ one) = (X0))),
% 1.61/1.08 inference('cnf', [status(esa)], [times_one])).
% 1.61/1.08 thf(zip_derived_cl271, plain,
% 1.61/1.08 ((('+' @ one @
% 1.61/1.08 ('+' @ a @ ('+' @ (sum @ a) @ ('+' @ one @ ('+' @ a @ (sum @ a))))))
% 1.61/1.08 != ('+' @ one @
% 1.61/1.08 ('+' @ one @ ('+' @ a @ ('+' @ a @ ('+' @ a @ (times @ a @ a)))))))),
% 1.61/1.08 inference('demod', [status(thm)],
% 1.61/1.08 [zip_derived_cl89, zip_derived_cl7, zip_derived_cl6,
% 1.61/1.08 zip_derived_cl7, zip_derived_cl6])).
% 1.61/1.08 thf(plus_comm, axiom, (( '+' @ X @ Y ) = ( '+' @ Y @ X ))).
% 1.61/1.08 thf(zip_derived_cl0, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]: (('+' @ X1 @ X0) = ('+' @ X0 @ X1))),
% 1.61/1.08 inference('cnf', [status(esa)], [plus_comm])).
% 1.61/1.08 thf(zip_derived_cl1, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (('+' @ X0 @ ('+' @ X1 @ X2)) = ('+' @ ('+' @ X0 @ X1) @ X2))),
% 1.61/1.08 inference('cnf', [status(esa)], [plus_assoc])).
% 1.61/1.08 thf(zip_derived_cl77, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (('+' @ X0 @ ('+' @ X1 @ X2)) = ('+' @ ('+' @ X1 @ X0) @ X2))),
% 1.61/1.08 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.61/1.08 thf(zip_derived_cl1, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (('+' @ X0 @ ('+' @ X1 @ X2)) = ('+' @ ('+' @ X0 @ X1) @ X2))),
% 1.61/1.08 inference('cnf', [status(esa)], [plus_assoc])).
% 1.61/1.08 thf(zip_derived_cl137, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (('+' @ X1 @ ('+' @ X2 @ X0)) = ('+' @ X2 @ ('+' @ X1 @ X0)))),
% 1.61/1.08 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl1])).
% 1.61/1.08 thf(zip_derived_cl1, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (('+' @ X0 @ ('+' @ X1 @ X2)) = ('+' @ ('+' @ X0 @ X1) @ X2))),
% 1.61/1.08 inference('cnf', [status(esa)], [plus_assoc])).
% 1.61/1.08 thf(zip_derived_cl0, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i]: (('+' @ X1 @ X0) = ('+' @ X0 @ X1))),
% 1.61/1.08 inference('cnf', [status(esa)], [plus_comm])).
% 1.61/1.08 thf(zip_derived_cl73, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (('+' @ X0 @ ('+' @ X2 @ X1)) = ('+' @ X2 @ ('+' @ X1 @ X0)))),
% 1.61/1.08 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.61/1.08 thf(induction_hypothesis, axiom,
% 1.61/1.08 (( '+' @ ( sum @ a ) @ ( sum @ a ) ) = ( times @ a @ ( s @ a ) ))).
% 1.61/1.08 thf(zip_derived_cl13, plain,
% 1.61/1.08 ((('+' @ (sum @ a) @ (sum @ a)) = (times @ a @ (s @ a)))),
% 1.61/1.08 inference('cnf', [status(esa)], [induction_hypothesis])).
% 1.61/1.08 thf(zip_derived_cl57, plain, (![X0 : $i]: (('+' @ one @ X0) = (s @ X0))),
% 1.61/1.08 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl6])).
% 1.61/1.08 thf(zip_derived_cl61, plain,
% 1.61/1.08 ((('+' @ (sum @ a) @ (sum @ a)) = (times @ a @ ('+' @ one @ a)))),
% 1.61/1.08 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl57])).
% 1.61/1.08 thf(zip_derived_cl7, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 ((times @ X0 @ ('+' @ X1 @ X2))
% 1.61/1.08 = ('+' @ (times @ X0 @ X1) @ (times @ X0 @ X2)))),
% 1.61/1.08 inference('cnf', [status(esa)], [distr])).
% 1.61/1.08 thf(zip_derived_cl6, plain, (![X0 : $i]: ((times @ X0 @ one) = (X0))),
% 1.61/1.08 inference('cnf', [status(esa)], [times_one])).
% 1.61/1.08 thf(zip_derived_cl270, plain,
% 1.61/1.08 ((('+' @ (sum @ a) @ (sum @ a)) = ('+' @ a @ (times @ a @ a)))),
% 1.61/1.08 inference('demod', [status(thm)],
% 1.61/1.08 [zip_derived_cl61, zip_derived_cl7, zip_derived_cl6])).
% 1.61/1.08 thf(zip_derived_cl137, plain,
% 1.61/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.61/1.08 (('+' @ X1 @ ('+' @ X2 @ X0)) = ('+' @ X2 @ ('+' @ X1 @ X0)))),
% 1.61/1.08 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl1])).
% 1.61/1.08 thf(zip_derived_cl816, plain,
% 1.61/1.08 ((('+' @ one @
% 1.61/1.08 ('+' @ one @ ('+' @ a @ ('+' @ a @ ('+' @ a @ (times @ a @ a))))))
% 1.61/1.08 != ('+' @ one @
% 1.61/1.08 ('+' @ one @ ('+' @ a @ ('+' @ a @ ('+' @ a @ (times @ a @ a)))))))),
% 1.61/1.08 inference('demod', [status(thm)],
% 1.61/1.08 [zip_derived_cl271, zip_derived_cl137, zip_derived_cl73,
% 1.61/1.08 zip_derived_cl270, zip_derived_cl137])).
% 1.61/1.08 thf(zip_derived_cl817, plain, ($false),
% 1.61/1.08 inference('simplify', [status(thm)], [zip_derived_cl816])).
% 1.61/1.08
% 1.61/1.08 % SZS output end Refutation
% 1.61/1.08
% 1.61/1.08
% 1.61/1.08 % Terminating...
% 4.47/1.20 % Runner terminated.
% 4.47/1.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------