%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG428-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 60 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 27 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [T_a,V_x,V_y] :
( c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| c_HOL_Oord__class_Oless(V_y,V_x,T_a)
| V_x = V_y
| ~ class_Orderings_Olinorder(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [V_m,V_n] :
( ~ c_lessequals(V_m,V_n,tc_nat)
| ~ c_lessequals(V_n,V_m,tc_nat)
| V_m = V_n ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,axiom,
! [V_n] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
| c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f206,axiom,
! [V_m,V_n] :
( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
| c_lessequals(c_Suc(V_m),V_n,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f328,axiom,
! [V_m,V_n] :
( ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
| c_lessequals(V_m,V_n,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f423,axiom,
! [V_x] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f743,axiom,
! [V_m,V_n] :
( ~ c_lessequals(c_Suc(V_m),V_n,tc_nat)
| c_lessequals(V_m,V_n,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f787,axiom,
c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f792,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f793,negated_conjecture,
! [V_x] :
( v_thesis____
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Suc(V_x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f828,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f928,plain,
! [X0,X1,X2] :
( c_HOL_Oord__class_Oless(X1,X2,X0)
| c_HOL_Oord__class_Oless(X2,X1,X0)
| X1 = X2
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f932,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_nat)
| ~ c_lessequals(X1,X0,tc_nat)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f1019,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f1226,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_lessequals(c_Suc(X0),X1,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f1432,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
| c_lessequals(X0,X1,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f328]) ).
fof(f1587,plain,
! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat),
inference(cnf_transformation,[status(thm)],[f423]) ).
fof(f2099,plain,
! [X0,X1] :
( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
| c_lessequals(X0,X1,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f743]) ).
fof(f2150,plain,
c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[status(thm)],[f787]) ).
fof(f2155,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f2156,plain,
( v_thesis____
| ! [V_x] : c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Suc(V_x) ),
inference(miniscoping,[status(thm)],[f793]) ).
fof(f2157,plain,
! [X0] :
( v_thesis____
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Suc(X0) ),
inference(cnf_transformation,[status(thm)],[f2156]) ).
fof(f2192,plain,
class_Orderings_Olinorder(tc_nat),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f2257,plain,
! [X0] : c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Suc(X0),
inference(forward_subsumption_resolution,[status(thm)],[f2157,f2155]) ).
fof(f2259,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_nat),
inference(resolution,[status(thm)],[f1019,f2257]) ).
fof(f2302,plain,
! [X0] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),
inference(resolution,[status(thm)],[f1432,f1587]) ).
fof(f2357,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_lessequals(X0,X1,tc_nat) ),
inference(resolution,[status(thm)],[f2099,f1226]) ).
fof(f2575,plain,
( c_HOL_Oord__class_Oless(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Orderings_Olinorder(tc_nat) ),
inference(resolution,[status(thm)],[f928,f2259]) ).
fof(f2586,plain,
( c_HOL_Oord__class_Oless(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[f2575,f2192]) ).
fof(f2591,plain,
c_HOL_Oord__class_Oless(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[f2586,f2150]) ).
fof(f2592,plain,
c_lessequals(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(resolution,[status(thm)],[f2591,f2357]) ).
fof(f2672,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_nat)
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) ),
inference(resolution,[status(thm)],[f932,f2592]) ).
fof(f2700,plain,
~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[f2672,f2150]) ).
fof(f2718,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2700,f2302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG428-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n012.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
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 13:20:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 0.12/0.43 % Refutation found
% 0.12/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.47 % Elapsed time: 0.105700 seconds
% 0.12/0.47 % CPU time: 0.272186 seconds
% 0.12/0.47 % Total memory used: 146.659 MB
% 0.12/0.47 % Net memory used: 146.044 MB
%------------------------------------------------------------------------------