%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG007-4 : 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.pmMH05DWba true
% Computer : n009.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 04:50:12 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.77s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : RNG007-4 : 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.pmMH05DWba true
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 17:19:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.56/0.68 % Total configuration time : 435
% 0.56/0.68 % Estimated wc time : 1092
% 0.56/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % Solved by fo/fo3_bce.sh.
% 0.57/0.77 % BCE start: 16
% 0.57/0.77 % BCE eliminated: 0
% 0.57/0.77 % PE start: 16
% 0.57/0.77 logic: eq
% 0.57/0.77 % PE eliminated: 0
% 0.57/0.77 % done 26 iterations in 0.017s
% 0.57/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.77 % SZS output start Refutation
% 0.57/0.77 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.57/0.77 thf(a_type, type, a: $i).
% 0.57/0.77 thf(additive_identity_type, type, additive_identity: $i).
% 0.57/0.77 thf(add_type, type, add: $i > $i > $i).
% 0.57/0.77 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 0.57/0.77 thf(prove_inverse, conjecture, (( add @ a @ a ) = ( additive_identity ))).
% 0.57/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.77 (( add @ a @ a ) != ( additive_identity )),
% 0.57/0.77 inference('cnf.neg', [status(esa)], [prove_inverse])).
% 0.57/0.77 thf(zip_derived_cl15, plain, (((add @ a @ a) != (additive_identity))),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.77 thf(left_additive_inverse, axiom,
% 0.57/0.77 (( add @ ( additive_inverse @ X ) @ X ) = ( additive_identity ))).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i]: ((add @ (additive_inverse @ X0) @ X0) = (additive_identity))),
% 0.57/0.77 inference('cnf', [status(esa)], [left_additive_inverse])).
% 0.57/0.77 thf(boolean_ring, axiom, (( multiply @ X @ X ) = ( X ))).
% 0.57/0.77 thf(zip_derived_cl14, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [boolean_ring])).
% 0.57/0.77 thf(multiply_additive_inverse2, axiom,
% 0.57/0.77 (( multiply @ ( additive_inverse @ X ) @ Y ) =
% 0.57/0.77 ( additive_inverse @ ( multiply @ X @ Y ) ))).
% 0.57/0.77 thf(zip_derived_cl10, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 ((multiply @ (additive_inverse @ X0) @ X1)
% 0.57/0.77 = (additive_inverse @ (multiply @ X0 @ X1)))),
% 0.57/0.77 inference('cnf', [status(esa)], [multiply_additive_inverse2])).
% 0.57/0.77 thf(zip_derived_cl51, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ((additive_inverse @ X0)
% 0.57/0.77 = (additive_inverse @ (multiply @ X0 @ (additive_inverse @ X0))))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl10])).
% 0.57/0.77 thf(multiply_additive_inverse1, axiom,
% 0.57/0.77 (( multiply @ X @ ( additive_inverse @ Y ) ) =
% 0.57/0.77 ( additive_inverse @ ( multiply @ X @ Y ) ))).
% 0.57/0.77 thf(zip_derived_cl9, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 ((multiply @ X0 @ (additive_inverse @ X1))
% 0.57/0.77 = (additive_inverse @ (multiply @ X0 @ X1)))),
% 0.57/0.77 inference('cnf', [status(esa)], [multiply_additive_inverse1])).
% 0.57/0.77 thf(zip_derived_cl14, plain, (![X0 : $i]: ((multiply @ X0 @ X0) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [boolean_ring])).
% 0.57/0.77 thf(additive_inverse_additive_inverse, axiom,
% 0.57/0.77 (( additive_inverse @ ( additive_inverse @ X ) ) = ( X ))).
% 0.57/0.77 thf(zip_derived_cl5, plain,
% 0.57/0.77 (![X0 : $i]: ((additive_inverse @ (additive_inverse @ X0)) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [additive_inverse_additive_inverse])).
% 0.57/0.77 thf(zip_derived_cl54, plain, (![X0 : $i]: ((additive_inverse @ X0) = (X0))),
% 0.57/0.77 inference('demod', [status(thm)],
% 0.57/0.77 [zip_derived_cl51, zip_derived_cl9, zip_derived_cl14,
% 0.57/0.77 zip_derived_cl5])).
% 0.57/0.77 thf(zip_derived_cl111, plain,
% 0.57/0.77 (![X0 : $i]: ((add @ X0 @ X0) = (additive_identity))),
% 0.57/0.77 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl54])).
% 0.57/0.77 thf(zip_derived_cl116, plain, (((additive_identity) != (additive_identity))),
% 0.57/0.77 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl111])).
% 0.57/0.77 thf(zip_derived_cl117, plain, ($false),
% 0.57/0.77 inference('simplify', [status(thm)], [zip_derived_cl116])).
% 0.57/0.77
% 0.57/0.77 % SZS output end Refutation
% 0.57/0.77
% 0.57/0.77
% 0.57/0.77 % Terminating...
% 0.65/0.90 % Runner terminated.
% 0.65/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------