%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG367-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:49:16 AM UTC 2026
% Result : Unsatisfiable 50.86s 6.90s
% Output : CNFRefutation 50.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 32 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 20 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f747,axiom,
! [T_a,V_p,V_h,V_x] :
( c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_h,V_x,T_a),T_a)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f748,axiom,
! [T_a,V_p,V_h] :
( c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a) = c_Polynomial_Odegree(V_p,T_a)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f786,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f787,negated_conjecture,
! [V_qa] :
( v_thesis____
| c_Polynomial_Odegree(V_qa,tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(V_qa,v_q(V_qa),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(V_qa),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f895,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2242,plain,
! [T_a] :
( ! [V_p,V_h,V_x] : c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_h,V_x,T_a),T_a)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) ),
inference(miniscoping,[status(thm)],[f747]) ).
fof(f2243,plain,
! [X0,X1,X2,X3] :
( 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)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[status(thm)],[f2242]) ).
fof(f2244,plain,
! [T_a] :
( ! [V_p,V_h] : c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a) = c_Polynomial_Odegree(V_p,T_a)
| ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) ),
inference(miniscoping,[status(thm)],[f748]) ).
fof(f2245,plain,
! [X0,X1,X2] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X2)
| c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2),X2) = c_Polynomial_Odegree(X0,X2) ),
inference(cnf_transformation,[status(thm)],[f2244]) ).
fof(f2319,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f786]) ).
fof(f2320,plain,
( v_thesis____
| ! [V_qa] :
( c_Polynomial_Odegree(V_qa,tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(V_qa,v_q(V_qa),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(V_qa),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ) ),
inference(miniscoping,[status(thm)],[f787]) ).
fof(f2321,plain,
! [X0] :
( v_thesis____
| c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(X0,v_q(X0),tc_Complex_Ocomplex)
| c_Polynomial_Odegree(X0,tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) ),
inference(cnf_transformation,[status(thm)],[f2320]) ).
fof(f2429,plain,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f895]) ).
fof(f2501,plain,
! [X0] :
( c_Polynomial_Odegree(X0,tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,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_Opoly(X0,v_q(X0),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[f2321,f2319]) ).
fof(f6237,plain,
( 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)
| ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f2243,f2501]) ).
fof(f6238,plain,
c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[f6237,f2429]) ).
fof(f6250,plain,
~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(resolution,[status(thm)],[f6238,f2245]) ).
fof(f6251,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6250,f2429]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG367-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 13:13:12 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.42 % Drodi V4.1.1
% 50.86/6.90 % Refutation found
% 50.86/6.90 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 50.86/6.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 43.36/6.98 % Elapsed time: 6.603255 seconds
% 43.36/6.98 % CPU time: 51.612821 seconds
% 43.36/6.98 % Total memory used: 548.484 MB
% 43.36/6.98 % Net memory used: 519.597 MB
%------------------------------------------------------------------------------