%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG421-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tGpHlmbipf true
% Computer : n021.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 04:28:45 PM UTC 2025
% Result : Unsatisfiable 23.27s 3.90s
% Output : Refutation 23.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG421-1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tGpHlmbipf true
% 0.14/0.35 % Computer : n021.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 16:58:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /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
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 23.27/3.90 % Solved by fo/fo3_bce.sh.
% 23.27/3.90 % BCE start: 566
% 23.27/3.90 % BCE eliminated: 101
% 23.27/3.90 % PE start: 465
% 23.27/3.90 logic: eq
% 23.27/3.90 % PE eliminated: -30
% 23.27/3.90 % done 1124 iterations in 3.166s
% 23.27/3.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 23.27/3.90 % SZS output start Refutation
% 23.27/3.90 thf(class_Ring__and__Field_Ocomm__semiring__1_type, type, class_Ring__and__Field_Ocomm__semiring__1:
% 23.27/3.90 $i > $o).
% 23.27/3.90 thf(c_Polynomial_Opoly_type, type, c_Polynomial_Opoly: $i > $i > $i > $i).
% 23.27/3.90 thf(v_r_____type, type, v_r____: $i).
% 23.27/3.90 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 23.27/3.90 thf(v_u_____type, type, v_u____: $i).
% 23.27/3.90 thf(class_Ring__and__Field_Ocomm__semiring__0_type, type, class_Ring__and__Field_Ocomm__semiring__0:
% 23.27/3.90 $i > $o).
% 23.27/3.90 thf(v_x_type, type, v_x: $i).
% 23.27/3.90 thf(c_Polynomial_Odegree_type, type, c_Polynomial_Odegree: $i > $i > $i).
% 23.27/3.90 thf(tc_Polynomial_Opoly_type, type, tc_Polynomial_Opoly: $i > $i).
% 23.27/3.90 thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower:
% 23.27/3.90 $i > $i > $i > $i).
% 23.27/3.90 thf(v_s_____type, type, v_s____: $i).
% 23.27/3.90 thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes:
% 23.27/3.90 $i > $i > $i > $i).
% 23.27/3.90 thf(cls_conjecture_0, conjecture,
% 23.27/3.90 (( c_HOL_Otimes__class_Otimes @
% 23.27/3.90 ( c_Polynomial_Opoly @ v_s____ @ v_x @ tc_Complex_Ocomplex ) @
% 23.27/3.90 ( c_Polynomial_Opoly @ v_u____ @ v_x @ tc_Complex_Ocomplex ) @
% 23.27/3.90 tc_Complex_Ocomplex ) =
% 23.27/3.90 ( c_Power_Opower__class_Opower @
% 23.27/3.90 ( c_Polynomial_Opoly @ v_r____ @ v_x @ tc_Complex_Ocomplex ) @
% 23.27/3.90 ( c_Polynomial_Odegree @ v_s____ @ tc_Complex_Ocomplex ) @
% 23.27/3.90 tc_Complex_Ocomplex ))).
% 23.27/3.90 thf(zf_stmt_0, negated_conjecture,
% 23.27/3.90 (( c_HOL_Otimes__class_Otimes @
% 23.27/3.90 ( c_Polynomial_Opoly @ v_s____ @ v_x @ tc_Complex_Ocomplex ) @
% 23.27/3.90 ( c_Polynomial_Opoly @ v_u____ @ v_x @ tc_Complex_Ocomplex ) @
% 23.27/3.90 tc_Complex_Ocomplex ) !=
% 23.27/3.90 ( c_Power_Opower__class_Opower @
% 23.27/3.90 ( c_Polynomial_Opoly @ v_r____ @ v_x @ tc_Complex_Ocomplex ) @
% 23.27/3.90 ( c_Polynomial_Odegree @ v_s____ @ tc_Complex_Ocomplex ) @
% 23.27/3.90 tc_Complex_Ocomplex )),
% 23.27/3.90 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 23.27/3.90 thf(zip_derived_cl565, plain,
% 23.27/3.90 (((c_HOL_Otimes__class_Otimes @
% 23.27/3.90 (c_Polynomial_Opoly @ v_s____ @ v_x @ tc_Complex_Ocomplex) @
% 23.27/3.90 (c_Polynomial_Opoly @ v_u____ @ v_x @ tc_Complex_Ocomplex) @
% 23.27/3.90 tc_Complex_Ocomplex)
% 23.27/3.90 != (c_Power_Opower__class_Opower @
% 23.27/3.90 (c_Polynomial_Opoly @ v_r____ @ v_x @ tc_Complex_Ocomplex) @
% 23.27/3.90 (c_Polynomial_Odegree @ v_s____ @ tc_Complex_Ocomplex) @
% 23.27/3.90 tc_Complex_Ocomplex))),
% 23.27/3.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.27/3.90 thf(cls_u_0, axiom,
% 23.27/3.90 (( c_Power_Opower__class_Opower @
% 23.27/3.90 v_r____ @ ( c_Polynomial_Odegree @ v_s____ @ tc_Complex_Ocomplex ) @
% 23.27/3.90 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) =
% 23.27/3.90 ( c_HOL_Otimes__class_Otimes @
% 23.27/3.90 v_s____ @ v_u____ @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ))).
% 23.27/3.90 thf(zip_derived_cl519, plain,
% 23.27/3.90 (((c_Power_Opower__class_Opower @ v_r____ @
% 23.27/3.90 (c_Polynomial_Odegree @ v_s____ @ tc_Complex_Ocomplex) @
% 23.27/3.90 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 23.27/3.90 = (c_HOL_Otimes__class_Otimes @ v_s____ @ v_u____ @
% 23.27/3.90 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 23.27/3.90 inference('cnf', [status(esa)], [cls_u_0])).
% 23.27/3.90 thf(cls_poly__power_0, axiom,
% 23.27/3.90 (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) |
% 23.27/3.90 ( ( c_Polynomial_Opoly @
% 23.27/3.90 ( c_Power_Opower__class_Opower @
% 23.27/3.90 V_p @ V_n @ ( tc_Polynomial_Opoly @ T_a ) ) @
% 23.27/3.90 V_x @ T_a ) =
% 23.27/3.90 ( c_Power_Opower__class_Opower @
% 23.27/3.90 ( c_Polynomial_Opoly @ V_p @ V_x @ T_a ) @ V_n @ T_a ) ))).
% 23.27/3.90 thf(zip_derived_cl516, plain,
% 23.27/3.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.27/3.90 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 23.27/3.90 | ((c_Polynomial_Opoly @
% 23.27/3.90 (c_Power_Opower__class_Opower @ X1 @ X3 @
% 23.27/3.90 (tc_Polynomial_Opoly @ X0)) @
% 23.27/3.90 X2 @ X0)
% 23.27/3.90 = (c_Power_Opower__class_Opower @
% 23.27/3.90 (c_Polynomial_Opoly @ X1 @ X2 @ X0) @ X3 @ X0)))),
% 23.27/3.90 inference('cnf', [status(esa)], [cls_poly__power_0])).
% 23.27/3.90 thf(zip_derived_cl12571, plain,
% 23.27/3.90 (![X0 : $i]:
% 23.27/3.90 (((c_Polynomial_Opoly @
% 23.27/3.90 (c_HOL_Otimes__class_Otimes @ v_s____ @ v_u____ @
% 23.27/3.90 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 23.27/3.90 X0 @ tc_Complex_Ocomplex)
% 23.27/3.90 = (c_Power_Opower__class_Opower @
% 23.27/3.90 (c_Polynomial_Opoly @ v_r____ @ X0 @ tc_Complex_Ocomplex) @
% 23.27/3.90 (c_Polynomial_Odegree @ v_s____ @ tc_Complex_Ocomplex) @
% 23.27/3.90 tc_Complex_Ocomplex))
% 23.27/3.90 | ~ (class_Ring__and__Field_Ocomm__semiring__1 @ tc_Complex_Ocomplex))),
% 23.27/3.90 inference('sup+', [status(thm)], [zip_derived_cl519, zip_derived_cl516])).
% 23.27/3.90 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1, axiom,
% 23.27/3.90 (class_Ring__and__Field_Ocomm__semiring__1 @ tc_Complex_Ocomplex)).
% 23.27/3.90 thf(zip_derived_cl538, plain,
% 23.27/3.90 ( (class_Ring__and__Field_Ocomm__semiring__1 @ tc_Complex_Ocomplex)),
% 23.27/3.90 inference('cnf', [status(esa)],
% 23.27/3.90 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1])).
% 23.27/3.90 thf(zip_derived_cl12572, plain,
% 23.27/3.90 (![X0 : $i]:
% 23.27/3.90 ((c_Polynomial_Opoly @
% 23.27/3.90 (c_HOL_Otimes__class_Otimes @ v_s____ @ v_u____ @
% 23.27/3.90 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 23.27/3.90 X0 @ tc_Complex_Ocomplex)
% 23.27/3.90 = (c_Power_Opower__class_Opower @
% 23.27/3.90 (c_Polynomial_Opoly @ v_r____ @ X0 @ tc_Complex_Ocomplex) @
% 23.27/3.90 (c_Polynomial_Odegree @ v_s____ @ tc_Complex_Ocomplex) @
% 23.27/3.90 tc_Complex_Ocomplex))),
% 23.27/3.90 inference('demod', [status(thm)],
% 23.27/3.90 [zip_derived_cl12571, zip_derived_cl538])).
% 23.27/3.90 thf(cls_poly__mult_0, axiom,
% 23.27/3.90 (( ~( class_Ring__and__Field_Ocomm__semiring__0 @ T_a ) ) |
% 23.27/3.90 ( ( c_Polynomial_Opoly @
% 23.27/3.90 ( c_HOL_Otimes__class_Otimes @
% 23.27/3.90 V_p @ V_q @ ( tc_Polynomial_Opoly @ T_a ) ) @
% 23.27/3.90 V_x @ T_a ) =
% 23.27/3.90 ( c_HOL_Otimes__class_Otimes @
% 23.27/3.90 ( c_Polynomial_Opoly @ V_p @ V_x @ T_a ) @
% 23.27/3.90 ( c_Polynomial_Opoly @ V_q @ V_x @ T_a ) @ T_a ) ))).
% 23.27/3.90 thf(zip_derived_cl514, plain,
% 23.27/3.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.27/3.90 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 23.27/3.90 | ((c_Polynomial_Opoly @
% 23.27/3.90 (c_HOL_Otimes__class_Otimes @ X1 @ X3 @
% 23.27/3.90 (tc_Polynomial_Opoly @ X0)) @
% 23.27/3.90 X2 @ X0)
% 23.27/3.90 = (c_HOL_Otimes__class_Otimes @
% 23.27/3.90 (c_Polynomial_Opoly @ X1 @ X2 @ X0) @
% 23.27/3.90 (c_Polynomial_Opoly @ X3 @ X2 @ X0) @ X0)))),
% 23.27/3.90 inference('cnf', [status(esa)], [cls_poly__mult_0])).
% 23.27/3.90 thf(zip_derived_cl21431, plain,
% 23.27/3.90 (![X0 : $i]:
% 23.27/3.90 (((c_Power_Opower__class_Opower @
% 23.27/3.90 (c_Polynomial_Opoly @ v_r____ @ X0 @ tc_Complex_Ocomplex) @
% 23.27/3.90 (c_Polynomial_Odegree @ v_s____ @ tc_Complex_Ocomplex) @
% 23.27/3.90 tc_Complex_Ocomplex)
% 23.27/3.90 = (c_HOL_Otimes__class_Otimes @
% 23.27/3.90 (c_Polynomial_Opoly @ v_s____ @ X0 @ tc_Complex_Ocomplex) @
% 23.27/3.90 (c_Polynomial_Opoly @ v_u____ @ X0 @ tc_Complex_Ocomplex) @
% 23.27/3.90 tc_Complex_Ocomplex))
% 23.27/3.90 | ~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex))),
% 23.27/3.90 inference('sup+', [status(thm)], [zip_derived_cl12572, zip_derived_cl514])).
% 23.27/3.90 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0, axiom,
% 23.27/3.90 (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)).
% 23.27/3.90 thf(zip_derived_cl539, plain,
% 23.27/3.90 ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 23.27/3.90 inference('cnf', [status(esa)],
% 23.27/3.90 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 23.27/3.90 thf(zip_derived_cl21432, plain,
% 23.27/3.90 (![X0 : $i]:
% 23.27/3.90 ((c_Power_Opower__class_Opower @
% 23.27/3.90 (c_Polynomial_Opoly @ v_r____ @ X0 @ tc_Complex_Ocomplex) @
% 23.27/3.90 (c_Polynomial_Odegree @ v_s____ @ tc_Complex_Ocomplex) @
% 23.27/3.90 tc_Complex_Ocomplex)
% 23.27/3.90 = (c_HOL_Otimes__class_Otimes @
% 23.27/3.90 (c_Polynomial_Opoly @ v_s____ @ X0 @ tc_Complex_Ocomplex) @
% 23.27/3.90 (c_Polynomial_Opoly @ v_u____ @ X0 @ tc_Complex_Ocomplex) @
% 23.27/3.90 tc_Complex_Ocomplex))),
% 23.27/3.90 inference('demod', [status(thm)],
% 23.27/3.90 [zip_derived_cl21431, zip_derived_cl539])).
% 23.27/3.90 thf(zip_derived_cl22382, plain,
% 23.27/3.90 (((c_Power_Opower__class_Opower @
% 23.27/3.90 (c_Polynomial_Opoly @ v_r____ @ v_x @ tc_Complex_Ocomplex) @
% 23.27/3.90 (c_Polynomial_Odegree @ v_s____ @ tc_Complex_Ocomplex) @
% 23.27/3.90 tc_Complex_Ocomplex)
% 23.27/3.90 != (c_Power_Opower__class_Opower @
% 23.27/3.90 (c_Polynomial_Opoly @ v_r____ @ v_x @ tc_Complex_Ocomplex) @
% 23.27/3.90 (c_Polynomial_Odegree @ v_s____ @ tc_Complex_Ocomplex) @
% 23.27/3.90 tc_Complex_Ocomplex))),
% 23.27/3.90 inference('demod', [status(thm)],
% 23.27/3.90 [zip_derived_cl565, zip_derived_cl21432])).
% 23.27/3.90 thf(zip_derived_cl22383, plain, ($false),
% 23.27/3.90 inference('simplify', [status(thm)], [zip_derived_cl22382])).
% 23.27/3.90
% 23.27/3.90 % SZS output end Refutation
% 23.27/3.90
% 23.27/3.90
% 23.27/3.90 % Terminating...
% 23.27/3.95 % Runner terminated.
% 23.27/3.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------