%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG018-6 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wfmkLRMp5D 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 04:50:14 PM UTC 2025
% Result : Unsatisfiable 0.56s 1.02s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG018-6 : TPTP v9.2.0. Released v1.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wfmkLRMp5D true
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:22:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.51/0.62 % Total configuration time : 435
% 0.51/0.62 % Estimated wc time : 1092
% 0.51/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/1.02 % Solved by fo/fo1_av.sh.
% 0.56/1.02 % done 216 iterations in 0.296s
% 0.56/1.02 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/1.02 % SZS output start Refutation
% 0.56/1.02 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/1.02 thf(z_type, type, z: $i).
% 0.56/1.02 thf(y_type, type, y: $i).
% 0.56/1.02 thf(x_type, type, x: $i).
% 0.56/1.02 thf(additive_identity_type, type, additive_identity: $i).
% 0.56/1.02 thf(add_type, type, add: $i > $i > $i).
% 0.56/1.02 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 0.56/1.02 thf(prove_distributivity, conjecture,
% 0.56/1.02 (( multiply @ ( add @ x @ y ) @ ( additive_inverse @ z ) ) =
% 0.56/1.02 ( add @
% 0.56/1.02 ( additive_inverse @ ( multiply @ x @ z ) ) @
% 0.56/1.02 ( additive_inverse @ ( multiply @ y @ z ) ) ))).
% 0.56/1.02 thf(zf_stmt_0, negated_conjecture,
% 0.56/1.02 (( multiply @ ( add @ x @ y ) @ ( additive_inverse @ z ) ) !=
% 0.56/1.02 ( add @
% 0.56/1.02 ( additive_inverse @ ( multiply @ x @ z ) ) @
% 0.56/1.02 ( additive_inverse @ ( multiply @ y @ z ) ) )),
% 0.56/1.02 inference('cnf.neg', [status(esa)], [prove_distributivity])).
% 0.56/1.02 thf(zip_derived_cl15, plain,
% 0.56/1.02 (((multiply @ (add @ x @ y) @ (additive_inverse @ z))
% 0.56/1.02 != (add @ (additive_inverse @ (multiply @ x @ z)) @
% 0.56/1.02 (additive_inverse @ (multiply @ y @ z))))),
% 0.56/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/1.02 thf(left_additive_inverse, axiom,
% 0.56/1.02 (( add @ ( additive_inverse @ X ) @ X ) = ( additive_identity ))).
% 0.56/1.02 thf(zip_derived_cl4, plain,
% 0.56/1.02 (![X0 : $i]: ((add @ (additive_inverse @ X0) @ X0) = (additive_identity))),
% 0.56/1.02 inference('cnf', [status(esa)], [left_additive_inverse])).
% 0.56/1.02 thf(associativity_for_addition, axiom,
% 0.56/1.02 (( add @ X @ ( add @ Y @ Z ) ) = ( add @ ( add @ X @ Y ) @ Z ))).
% 0.56/1.02 thf(zip_derived_cl10, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.02 ((add @ X0 @ (add @ X1 @ X2)) = (add @ (add @ X0 @ X1) @ X2))),
% 0.56/1.02 inference('cnf', [status(esa)], [associativity_for_addition])).
% 0.56/1.02 thf(zip_derived_cl53, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]:
% 0.56/1.02 ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0))
% 0.56/1.02 = (add @ additive_identity @ X0))),
% 0.56/1.02 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 0.56/1.02 thf(left_additive_identity, axiom, (( add @ additive_identity @ X ) = ( X ))).
% 0.56/1.02 thf(zip_derived_cl0, plain,
% 0.56/1.02 (![X0 : $i]: ((add @ additive_identity @ X0) = (X0))),
% 0.56/1.02 inference('cnf', [status(esa)], [left_additive_identity])).
% 0.56/1.02 thf(zip_derived_cl57, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]:
% 0.56/1.02 ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 0.56/1.02 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.56/1.02 thf(commutativity_for_addition, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 0.56/1.02 thf(zip_derived_cl9, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.56/1.02 inference('cnf', [status(esa)], [commutativity_for_addition])).
% 0.56/1.02 thf(zip_derived_cl90, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]:
% 0.56/1.02 ((add @ (add @ X1 @ X0) @ (additive_inverse @ X1)) = (X0))),
% 0.56/1.02 inference('s_sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl9])).
% 0.56/1.02 thf(zip_derived_cl57, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]:
% 0.56/1.02 ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 0.56/1.02 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.56/1.02 thf(zip_derived_cl166, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]:
% 0.56/1.02 ((add @ (additive_inverse @ (add @ X1 @ X0)) @ X0)
% 0.56/1.02 = (additive_inverse @ X1))),
% 0.56/1.02 inference('s_sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl57])).
% 0.56/1.02 thf(zip_derived_cl9, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.56/1.02 inference('cnf', [status(esa)], [commutativity_for_addition])).
% 0.56/1.02 thf(zip_derived_cl57, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]:
% 0.56/1.02 ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 0.56/1.02 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.56/1.02 thf(zip_derived_cl95, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]:
% 0.56/1.02 ((add @ (additive_inverse @ X0) @ (add @ X1 @ X0)) = (X1))),
% 0.56/1.02 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl57])).
% 0.56/1.02 thf(zip_derived_cl647, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]:
% 0.56/1.02 ((add @ (additive_inverse @ X1) @ (additive_inverse @ X0))
% 0.56/1.02 = (additive_inverse @ (add @ X0 @ X1)))),
% 0.56/1.02 inference('s_sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl95])).
% 0.56/1.02 thf(distribute2, axiom,
% 0.56/1.02 (( multiply @ ( add @ X @ Y ) @ Z ) =
% 0.56/1.02 ( add @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ))).
% 0.56/1.02 thf(zip_derived_cl8, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.02 ((multiply @ (add @ X0 @ X2) @ X1)
% 0.56/1.02 = (add @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 0.56/1.02 inference('cnf', [status(esa)], [distribute2])).
% 0.56/1.02 thf(zip_derived_cl9, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 0.56/1.02 inference('cnf', [status(esa)], [commutativity_for_addition])).
% 0.56/1.02 thf(zip_derived_cl767, plain,
% 0.56/1.02 (((multiply @ (add @ x @ y) @ (additive_inverse @ z))
% 0.56/1.02 != (additive_inverse @ (multiply @ (add @ x @ y) @ z)))),
% 0.56/1.02 inference('demod', [status(thm)],
% 0.56/1.02 [zip_derived_cl15, zip_derived_cl647, zip_derived_cl8,
% 0.56/1.02 zip_derived_cl9])).
% 0.56/1.02 thf(right_additive_inverse, axiom,
% 0.56/1.02 (( add @ X @ ( additive_inverse @ X ) ) = ( additive_identity ))).
% 0.56/1.02 thf(zip_derived_cl5, plain,
% 0.56/1.02 (![X0 : $i]: ((add @ X0 @ (additive_inverse @ X0)) = (additive_identity))),
% 0.56/1.02 inference('cnf', [status(esa)], [right_additive_inverse])).
% 0.56/1.02 thf(distribute1, axiom,
% 0.56/1.02 (( multiply @ X @ ( add @ Y @ Z ) ) =
% 0.56/1.02 ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 0.56/1.02 thf(zip_derived_cl7, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.02 ((multiply @ X0 @ (add @ X1 @ X2))
% 0.56/1.02 = (add @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 0.56/1.02 inference('cnf', [status(esa)], [distribute1])).
% 0.56/1.02 thf(zip_derived_cl57, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]:
% 0.56/1.02 ((add @ (additive_inverse @ X1) @ (add @ X1 @ X0)) = (X0))),
% 0.56/1.02 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.56/1.02 thf(zip_derived_cl102, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.02 ((add @ (additive_inverse @ (multiply @ X2 @ X1)) @
% 0.56/1.02 (multiply @ X2 @ (add @ X1 @ X0))) = (multiply @ X2 @ X0))),
% 0.56/1.02 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl57])).
% 0.56/1.02 thf(zip_derived_cl1933, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]:
% 0.56/1.02 ((add @ (additive_inverse @ (multiply @ X1 @ X0)) @
% 0.56/1.02 (multiply @ X1 @ additive_identity))
% 0.56/1.02 = (multiply @ X1 @ (additive_inverse @ X0)))),
% 0.56/1.02 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl102])).
% 0.56/1.02 thf(right_multiplicative_zero, axiom,
% 0.56/1.02 (( multiply @ X @ additive_identity ) = ( additive_identity ))).
% 0.56/1.02 thf(zip_derived_cl3, plain,
% 0.56/1.02 (![X0 : $i]: ((multiply @ X0 @ additive_identity) = (additive_identity))),
% 0.56/1.02 inference('cnf', [status(esa)], [right_multiplicative_zero])).
% 0.56/1.02 thf(right_additive_identity, axiom,
% 0.56/1.02 (( add @ X @ additive_identity ) = ( X ))).
% 0.56/1.02 thf(zip_derived_cl1, plain,
% 0.56/1.02 (![X0 : $i]: ((add @ X0 @ additive_identity) = (X0))),
% 0.56/1.02 inference('cnf', [status(esa)], [right_additive_identity])).
% 0.56/1.02 thf(zip_derived_cl1970, plain,
% 0.56/1.02 (![X0 : $i, X1 : $i]:
% 0.56/1.02 ((additive_inverse @ (multiply @ X1 @ X0))
% 0.56/1.02 = (multiply @ X1 @ (additive_inverse @ X0)))),
% 0.56/1.02 inference('demod', [status(thm)],
% 0.56/1.02 [zip_derived_cl1933, zip_derived_cl3, zip_derived_cl1])).
% 0.56/1.02 thf(zip_derived_cl1987, plain,
% 0.56/1.02 (((multiply @ (add @ x @ y) @ (additive_inverse @ z))
% 0.56/1.02 != (multiply @ (add @ x @ y) @ (additive_inverse @ z)))),
% 0.56/1.02 inference('demod', [status(thm)], [zip_derived_cl767, zip_derived_cl1970])).
% 0.56/1.02 thf(zip_derived_cl1988, plain, ($false),
% 0.56/1.02 inference('simplify', [status(thm)], [zip_derived_cl1987])).
% 0.56/1.02
% 0.56/1.02 % SZS output end Refutation
% 0.56/1.02
% 0.56/1.02
% 0.56/1.02 % Terminating...
% 0.56/1.04 % Runner terminated.
% 0.56/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------