%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG429-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 11:49:24 AM UTC 2026
% Result : Unsatisfiable 1.85s 1.10s
% Output : CNFRefutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 57 ( 10 unt; 0 def)
% Number of atoms : 149 ( 119 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 142 ( 50 ~; 92 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1152,axiom,
v_p != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1156,axiom,
! [V_x] :
( c_Polynomial_Opoly(v_q,V_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_p,V_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1158,axiom,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1160,axiom,
( c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1162,axiom,
! [V_x] :
( c_Polynomial_Opoly(v_q,V_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_p,V_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1164,axiom,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1165,axiom,
( c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1166,axiom,
( c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1167,negated_conjecture,
( c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1168,negated_conjecture,
( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1171,negated_conjecture,
! [V_xa] :
( c_Polynomial_Opoly(v_q,V_xa,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_p,V_xa,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3235,plain,
v_p != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[status(thm)],[f1152]) ).
fof(f3241,plain,
! [X0] :
( c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(cnf_transformation,[status(thm)],[f1156]) ).
fof(f3243,plain,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(cnf_transformation,[status(thm)],[f1158]) ).
fof(f3245,plain,
( c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(cnf_transformation,[status(thm)],[f1160]) ).
fof(f3247,plain,
! [X0] :
( c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(cnf_transformation,[status(thm)],[f1162]) ).
fof(f3249,plain,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(cnf_transformation,[status(thm)],[f1164]) ).
fof(f3250,plain,
( c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(cnf_transformation,[status(thm)],[f1165]) ).
fof(f3251,plain,
( c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(cnf_transformation,[status(thm)],[f1166]) ).
fof(f3252,plain,
( c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(cnf_transformation,[status(thm)],[f1167]) ).
fof(f3253,plain,
( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(cnf_transformation,[status(thm)],[f1168]) ).
fof(f3256,plain,
! [X0] :
( c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(cnf_transformation,[status(thm)],[f1171]) ).
fof(f3456,plain,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[f3243,f3235]) ).
fof(f3457,plain,
( c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3245,f3235]) ).
fof(f3458,plain,
! [X0] :
( c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[f3247,f3241]) ).
fof(f3460,plain,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[f3249,f3456]) ).
fof(f3461,plain,
( c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3250,f3457]) ).
fof(f3462,plain,
( c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3251,f3457]) ).
fof(f3463,plain,
! [X0] :
( c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(backward_subsumption_resolution,[status(thm)],[f3458,f3464]) ).
fof(f3464,plain,
! [X0] :
( c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[f3256,f3235]) ).
fof(f3465,plain,
( c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f3460,f3253]) ).
fof(f3466,plain,
( c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f3460,f3252]) ).
fof(f3467,plain,
( c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[f3465,f3235]) ).
fof(f3468,plain,
( c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[status(thm)],[f3466,f3235]) ).
fof(f3469,plain,
( c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(resolution,[status(thm)],[f3461,f3253]) ).
fof(f3470,plain,
( c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(resolution,[status(thm)],[f3461,f3252]) ).
fof(f3471,plain,
( c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(resolution,[status(thm)],[f3470,f3463]) ).
fof(f3473,plain,
( c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3471,f3468]) ).
fof(f3475,plain,
( c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(resolution,[status(thm)],[f3473,f3463]) ).
fof(f3477,plain,
( c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(backward_subsumption_resolution,[status(thm)],[f3469,f3475]) ).
fof(f3479,plain,
( c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(resolution,[status(thm)],[f3475,f3467]) ).
fof(f3482,plain,
( c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(resolution,[status(thm)],[f3477,f3463]) ).
fof(f3488,plain,
v_p != v_q,
inference(backward_demodulation,[status(thm)],[f3492,f3235]) ).
fof(f3490,plain,
( c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = v_q ),
inference(backward_demodulation,[status(thm)],[f3492,f3462]) ).
fof(f3492,plain,
v_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(forward_subsumption_resolution,[status(thm)],[f3482,f3479]) ).
fof(f3494,plain,
( c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3490,f3488]) ).
fof(f3495,plain,
( c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f3494,f3253]) ).
fof(f3496,plain,
( c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f3494,f3252]) ).
fof(f3501,plain,
( c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f3496,f3463]) ).
fof(f3506,plain,
c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[f3501,f3468]) ).
fof(f3507,plain,
c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(resolution,[status(thm)],[f3506,f3463]) ).
fof(f3509,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(backward_demodulation,[status(thm)],[f3507,f3495]) ).
fof(f3510,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(backward_demodulation,[status(thm)],[f3507,f3467]) ).
fof(f3513,plain,
c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(trivial_equality_resolution,[status(thm)],[f3509]) ).
fof(f3514,plain,
c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(trivial_equality_resolution,[status(thm)],[f3510]) ).
fof(f3516,plain,
c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(resolution,[status(thm)],[f3513,f3463]) ).
fof(f3518,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3516,f3514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG429-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 13:23:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.25/0.51 % Drodi V4.1.1
% 1.85/1.10 % Refutation found
% 1.85/1.10 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.85/1.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.85/1.13 % Elapsed time: 0.748471 seconds
% 1.85/1.13 % CPU time: 4.496097 seconds
% 1.85/1.13 % Total memory used: 237.525 MB
% 1.85/1.13 % Net memory used: 234.788 MB
%------------------------------------------------------------------------------