%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG424-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 11:49:23 AM UTC 2026
% Result : Unsatisfiable 63.23s 8.47s
% Output : CNFRefutation 63.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 33 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f900,axiom,
v_pa____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f903,axiom,
! [T_a,V_a,V_p] :
( c_Polynomial_Opoly(V_p,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
| V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
| c_Polynomial_Oorder(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Ring__and__Field_Oidom(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f904,axiom,
c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f905,axiom,
( c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f906,negated_conjecture,
~ c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f975,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2522,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____,
inference(cnf_transformation,[status(thm)],[f900]) ).
fof(f2526,plain,
! [X0,X1,X2] :
( ~ class_Ring__and__Field_Oidom(X0)
| X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| c_Polynomial_Oorder(X2,X1,X0) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Ozero__class_Ozero(X0) != c_Polynomial_Opoly(X1,X2,X0) ),
inference(cnf_transformation,[status(thm)],[f903]) ).
fof(f2527,plain,
c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f904]) ).
fof(f2528,plain,
( c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(cnf_transformation,[status(thm)],[f905]) ).
fof(f2529,plain,
~ c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[status(thm)],[f906]) ).
fof(f2598,plain,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f975]) ).
fof(f3232,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[f2528,f2529]) ).
fof(f7389,plain,
( ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| v_pa____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex) ),
inference(paramodulation,[status(thm)],[f3232,f2526]) ).
fof(f7390,plain,
( ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| v_pa____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(forward_demodulation,[status(thm)],[f2527,f7389]) ).
fof(f7391,plain,
( ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| v_pa____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(trivial_equality_resolution,[status(thm)],[f7390]) ).
fof(f7392,plain,
~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[status(thm)],[f7391,f2522]) ).
fof(f7396,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7392,f2598]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG424-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n014.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 13:20:34 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.42 % Drodi V4.1.1
% 63.23/8.47 % Refutation found
% 63.23/8.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 63.23/8.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.59/9.95 % Elapsed time: 9.595755 seconds
% 3.59/9.95 % CPU time: 65.958651 seconds
% 3.59/9.95 % Total memory used: 817.791 MB
% 3.59/9.95 % Net memory used: 773.140 MB
%------------------------------------------------------------------------------