%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG367-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 Jul 24 09:46:15 AM UTC 2025
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(785,plain,
~ v_thesis____,
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
~ v_thesis____,
inference(instantiation,[status(thm)],[785]) ).
cnf(786,plain,
( c_Polynomial_Opoly(X0,v_q(X0),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Odegree(X0,tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)
| v_thesis____ ),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l1,plain,
( c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_z,tc_Complex_Ocomplex),v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_z,tc_Complex_Ocomplex)),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_z,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)
| v_thesis____ ),
inference(instantiation,[status(thm)],[786]) ).
cnf(747,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X0) = c_Polynomial_Odegree(X1,X0) ),
inference(cnf,[status(esa)],[cls_degree__offset__poly_0]) ).
cnf(l3,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) ),
inference(instantiation,[status(thm)],[747]) ).
cnf(894,plain,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf,[status(esa)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]) ).
cnf(l4,plain,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(instantiation,[status(thm)],[894]) ).
cnf(746,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X3,X0) = c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
inference(cnf,[status(esa)],[cls_poly__offset__poly_0]) ).
cnf(l2,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_z,tc_Complex_Ocomplex),v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_z,tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_z,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(instantiation,[status(thm)],[746]) ).
cnf(l10,plain,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(instantiation,[status(thm)],[894]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l2,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : ALG367-1 : TPTP v9.0.0. Released v4.1.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.28 % Computer : n020.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sun Jul 20 03:30:19 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.13/0.31 % launching worker at depth: 1
% 0.13/0.31 % launching worker at depth: 7
% 0.13/0.31 % launching worker at depth: 2
% 0.13/0.31 % launching worker at depth: 3
% 0.13/0.31 % launching worker at depth: 4
% 0.13/0.31 % launching worker at depth: 5
% 0.13/0.31 % launching worker at depth: 6
% 0.13/0.31 % launching worker at depth: 8
% 0.13/0.32 % launching worker at depth: 9
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------