TSTP Solution File: ALG434-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG434-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vbHQXxhi4o true

% Computer : n018.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 : Wed Aug 30 17:13:10 EDT 2023

% Result   : Unsatisfiable 1.34s 0.93s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG434-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vbHQXxhi4o true
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 03:15:01 EDT 2023
% 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
% 0.14/0.35  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.66/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.66/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.66/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.66/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.66/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.93  % Solved by fo/fo4.sh.
% 1.34/0.93  % done 269 iterations in 0.171s
% 1.34/0.93  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/0.93  % SZS output start Refutation
% 1.34/0.93  thf(tc_Polynomial_Opoly_type, type, tc_Polynomial_Opoly: $i > $i).
% 1.34/0.93  thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 1.34/0.93  thf(class_Ring__and__Field_Ofield_type, type, class_Ring__and__Field_Ofield: 
% 1.34/0.93      $i > $o).
% 1.34/0.93  thf(c_Polynomial_Osmult_type, type, c_Polynomial_Osmult: $i > $i > $i > $i).
% 1.34/0.93  thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 1.34/0.93  thf(class_Ring__and__Field_Oidom_type, type, class_Ring__and__Field_Oidom: 
% 1.34/0.93      $i > $o).
% 1.34/0.93  thf(v_p_type, type, v_p: $i).
% 1.34/0.93  thf(v_a_type, type, v_a: $i).
% 1.34/0.93  thf(class_Ring__and__Field_Ocomm__semiring__1_type, type, class_Ring__and__Field_Ocomm__semiring__1: 
% 1.34/0.93      $i > $o).
% 1.34/0.93  thf(c_Ring__and__Field_Odvd__class_Odvd_type, type, c_Ring__and__Field_Odvd__class_Odvd: 
% 1.34/0.93      $i > $i > $i > $o).
% 1.34/0.93  thf(v_q_type, type, v_q: $i).
% 1.34/0.93  thf(cls_smult__dvd__iff_3, axiom,
% 1.34/0.93    (( ~( class_Ring__and__Field_Ofield @ T_a ) ) | 
% 1.34/0.93     ( c_Ring__and__Field_Odvd__class_Odvd @
% 1.34/0.93       ( c_Polynomial_Osmult @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_p @ T_a ) @ 
% 1.34/0.93       ( c_HOL_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) @ 
% 1.34/0.93       ( tc_Polynomial_Opoly @ T_a ) ))).
% 1.34/0.93  thf(zip_derived_cl30, plain,
% 1.34/0.93      (![X0 : $i, X1 : $i]:
% 1.34/0.93         (~ (class_Ring__and__Field_Ofield @ X0)
% 1.34/0.93          |  (c_Ring__and__Field_Odvd__class_Odvd @ 
% 1.34/0.93              (c_Polynomial_Osmult @ (c_HOL_Ozero__class_Ozero @ X0) @ X1 @ X0) @ 
% 1.34/0.93              (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0)) @ 
% 1.34/0.93              (tc_Polynomial_Opoly @ X0)))),
% 1.34/0.93      inference('cnf', [status(esa)], [cls_smult__dvd__iff_3])).
% 1.34/0.93  thf(cls_smult__dvd__cancel_0, axiom,
% 1.34/0.93    (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) | 
% 1.34/0.93     ( c_Ring__and__Field_Odvd__class_Odvd @
% 1.34/0.93       V_p @ V_q @ ( tc_Polynomial_Opoly @ T_a ) ) | 
% 1.34/0.93     ( ~( c_Ring__and__Field_Odvd__class_Odvd @
% 1.34/0.93          ( c_Polynomial_Osmult @ V_a @ V_p @ T_a ) @ V_q @ 
% 1.34/0.93          ( tc_Polynomial_Opoly @ T_a ) ) ))).
% 1.34/0.93  thf(zip_derived_cl39, plain,
% 1.34/0.93      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/0.93         (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 1.34/0.93          |  (c_Ring__and__Field_Odvd__class_Odvd @ X1 @ X2 @ 
% 1.34/0.93              (tc_Polynomial_Opoly @ X0))
% 1.34/0.93          | ~ (c_Ring__and__Field_Odvd__class_Odvd @ 
% 1.34/0.93               (c_Polynomial_Osmult @ X3 @ X1 @ X0) @ X2 @ 
% 1.34/0.93               (tc_Polynomial_Opoly @ X0)))),
% 1.34/0.93      inference('cnf', [status(esa)], [cls_smult__dvd__cancel_0])).
% 1.34/0.93  thf(zip_derived_cl1264, plain,
% 1.34/0.93      (![X0 : $i, X1 : $i]:
% 1.34/0.93         (~ (class_Ring__and__Field_Ofield @ X0)
% 1.34/0.93          |  (c_Ring__and__Field_Odvd__class_Odvd @ X1 @ 
% 1.34/0.93              (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0)) @ 
% 1.34/0.93              (tc_Polynomial_Opoly @ X0))
% 1.34/0.93          | ~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0))),
% 1.34/0.93      inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl39])).
% 1.34/0.93  thf(cls_conjecture_0, conjecture,
% 1.34/0.93    (c_Ring__and__Field_Odvd__class_Odvd @
% 1.34/0.93     v_p @ ( c_Polynomial_Osmult @ v_a @ v_q @ tc_Complex_Ocomplex ) @ 
% 1.34/0.93     ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ))).
% 1.34/0.93  thf(zf_stmt_0, negated_conjecture,
% 1.34/0.93    (~( c_Ring__and__Field_Odvd__class_Odvd @
% 1.34/0.93        v_p @ ( c_Polynomial_Osmult @ v_a @ v_q @ tc_Complex_Ocomplex ) @ 
% 1.34/0.93        ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) )),
% 1.34/0.93    inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 1.34/0.93  thf(zip_derived_cl53, plain,
% 1.34/0.93      (~ (c_Ring__and__Field_Odvd__class_Odvd @ v_p @ 
% 1.34/0.93          (c_Polynomial_Osmult @ v_a @ v_q @ tc_Complex_Ocomplex) @ 
% 1.34/0.93          (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))),
% 1.34/0.93      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.34/0.93  thf(cls_pq_0, axiom,
% 1.34/0.93    (c_Ring__and__Field_Odvd__class_Odvd @
% 1.34/0.93     v_p @ v_q @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ))).
% 1.34/0.93  thf(zip_derived_cl43, plain,
% 1.34/0.93      ( (c_Ring__and__Field_Odvd__class_Odvd @ v_p @ v_q @ 
% 1.34/0.93         (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))),
% 1.34/0.93      inference('cnf', [status(esa)], [cls_pq_0])).
% 1.34/0.93  thf(cls_dvd__smult__iff_1, axiom,
% 1.34/0.93    (( ~( class_Ring__and__Field_Ofield @ T_a ) ) | 
% 1.34/0.93     ( c_Ring__and__Field_Odvd__class_Odvd @
% 1.34/0.93       V_p @ ( c_Polynomial_Osmult @ V_a @ V_q @ T_a ) @ 
% 1.34/0.93       ( tc_Polynomial_Opoly @ T_a ) ) | 
% 1.34/0.93     ( ~( c_Ring__and__Field_Odvd__class_Odvd @
% 1.34/0.93          V_p @ V_q @ ( tc_Polynomial_Opoly @ T_a ) ) ) | 
% 1.34/0.93     ( ( V_a ) = ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 1.34/0.93  thf(zip_derived_cl20, plain,
% 1.34/0.93      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/0.93         (~ (class_Ring__and__Field_Ofield @ X0)
% 1.34/0.93          |  (c_Ring__and__Field_Odvd__class_Odvd @ X1 @ 
% 1.34/0.93              (c_Polynomial_Osmult @ X2 @ X3 @ X0) @ (tc_Polynomial_Opoly @ X0))
% 1.34/0.93          | ~ (c_Ring__and__Field_Odvd__class_Odvd @ X1 @ X3 @ 
% 1.34/0.93               (tc_Polynomial_Opoly @ X0))
% 1.34/0.93          | ((X2) = (c_HOL_Ozero__class_Ozero @ X0)))),
% 1.34/0.93      inference('cnf', [status(esa)], [cls_dvd__smult__iff_1])).
% 1.34/0.93  thf(zip_derived_cl319, plain,
% 1.34/0.93      (![X0 : $i]:
% 1.34/0.93         (((X0) = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 1.34/0.93          |  (c_Ring__and__Field_Odvd__class_Odvd @ v_p @ 
% 1.34/0.93              (c_Polynomial_Osmult @ X0 @ v_q @ tc_Complex_Ocomplex) @ 
% 1.34/0.93              (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 1.34/0.93          | ~ (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex))),
% 1.34/0.93      inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl20])).
% 1.34/0.93  thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield, axiom,
% 1.34/0.93    (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex)).
% 1.34/0.93  thf(zip_derived_cl51, plain,
% 1.34/0.93      ( (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex)),
% 1.34/0.93      inference('cnf', [status(esa)],
% 1.34/0.93                [clsarity_Complex__Ocomplex__Ring__and__Field_Ofield])).
% 1.34/0.93  thf(zip_derived_cl322, plain,
% 1.34/0.93      (![X0 : $i]:
% 1.34/0.93         (((X0) = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 1.34/0.93          |  (c_Ring__and__Field_Odvd__class_Odvd @ v_p @ 
% 1.34/0.93              (c_Polynomial_Osmult @ X0 @ v_q @ tc_Complex_Ocomplex) @ 
% 1.34/0.93              (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 1.34/0.93      inference('demod', [status(thm)], [zip_derived_cl319, zip_derived_cl51])).
% 1.34/0.93  thf(zip_derived_cl53, plain,
% 1.34/0.93      (~ (c_Ring__and__Field_Odvd__class_Odvd @ v_p @ 
% 1.34/0.93          (c_Polynomial_Osmult @ v_a @ v_q @ tc_Complex_Ocomplex) @ 
% 1.34/0.93          (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))),
% 1.34/0.93      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.34/0.93  thf(zip_derived_cl431, plain,
% 1.34/0.93      (((v_a) = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 1.34/0.93      inference('sup-', [status(thm)], [zip_derived_cl322, zip_derived_cl53])).
% 1.34/0.93  thf(cls_smult__eq__0__iff_1, axiom,
% 1.34/0.93    (( ~( class_Ring__and__Field_Oidom @ T_a ) ) | 
% 1.34/0.93     ( ( c_Polynomial_Osmult @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_p @ T_a ) =
% 1.34/0.93       ( c_HOL_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ))).
% 1.34/0.93  thf(zip_derived_cl5, plain,
% 1.34/0.93      (![X0 : $i, X1 : $i]:
% 1.34/0.93         (~ (class_Ring__and__Field_Oidom @ X0)
% 1.34/0.93          | ((c_Polynomial_Osmult @ (c_HOL_Ozero__class_Ozero @ X0) @ X1 @ X0)
% 1.34/0.93              = (c_HOL_Ozero__class_Ozero @ (tc_Polynomial_Opoly @ X0))))),
% 1.34/0.93      inference('cnf', [status(esa)], [cls_smult__eq__0__iff_1])).
% 1.34/0.93  thf(zip_derived_cl449, plain,
% 1.34/0.93      (![X0 : $i]:
% 1.34/0.93         (((c_Polynomial_Osmult @ v_a @ X0 @ tc_Complex_Ocomplex)
% 1.34/0.93            = (c_HOL_Ozero__class_Ozero @ 
% 1.34/0.93               (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 1.34/0.93          | ~ (class_Ring__and__Field_Oidom @ tc_Complex_Ocomplex))),
% 1.34/0.93      inference('sup+', [status(thm)], [zip_derived_cl431, zip_derived_cl5])).
% 1.34/0.93  thf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom, axiom,
% 1.34/0.93    (class_Ring__and__Field_Oidom @ tc_Complex_Ocomplex)).
% 1.34/0.93  thf(zip_derived_cl52, plain,
% 1.34/0.93      ( (class_Ring__and__Field_Oidom @ tc_Complex_Ocomplex)),
% 1.34/0.93      inference('cnf', [status(esa)],
% 1.34/0.93                [clsarity_Complex__Ocomplex__Ring__and__Field_Oidom])).
% 1.34/0.93  thf(zip_derived_cl455, plain,
% 1.34/0.93      (![X0 : $i]:
% 1.34/0.93         ((c_Polynomial_Osmult @ v_a @ X0 @ tc_Complex_Ocomplex)
% 1.34/0.93           = (c_HOL_Ozero__class_Ozero @ 
% 1.34/0.93              (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 1.34/0.93      inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl52])).
% 1.34/0.93  thf(zip_derived_cl674, plain,
% 1.34/0.93      (~ (c_Ring__and__Field_Odvd__class_Odvd @ v_p @ 
% 1.34/0.93          (c_HOL_Ozero__class_Ozero @ 
% 1.34/0.93           (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @ 
% 1.34/0.93          (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))),
% 1.34/0.93      inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl455])).
% 1.34/0.93  thf(zip_derived_cl1465, plain,
% 1.34/0.93      ((~ (class_Ring__and__Field_Ocomm__semiring__1 @ tc_Complex_Ocomplex)
% 1.34/0.93        | ~ (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex))),
% 1.34/0.93      inference('sup-', [status(thm)], [zip_derived_cl1264, zip_derived_cl674])).
% 1.34/0.93  thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1, axiom,
% 1.34/0.93    (class_Ring__and__Field_Ocomm__semiring__1 @ tc_Complex_Ocomplex)).
% 1.34/0.93  thf(zip_derived_cl47, plain,
% 1.34/0.93      ( (class_Ring__and__Field_Ocomm__semiring__1 @ tc_Complex_Ocomplex)),
% 1.34/0.93      inference('cnf', [status(esa)],
% 1.34/0.93                [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1])).
% 1.34/0.93  thf(zip_derived_cl51, plain,
% 1.34/0.93      ( (class_Ring__and__Field_Ofield @ tc_Complex_Ocomplex)),
% 1.34/0.93      inference('cnf', [status(esa)],
% 1.34/0.93                [clsarity_Complex__Ocomplex__Ring__and__Field_Ofield])).
% 1.34/0.93  thf(zip_derived_cl1486, plain, ($false),
% 1.34/0.93      inference('demod', [status(thm)],
% 1.34/0.93                [zip_derived_cl1465, zip_derived_cl47, zip_derived_cl51])).
% 1.34/0.93  
% 1.34/0.93  % SZS output end Refutation
% 1.34/0.93  
% 1.34/0.93  
% 1.34/0.93  % Terminating...
% 1.77/1.03  % Runner terminated.
% 1.77/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------