%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV675-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 02:49:19 PM UTC 2026
% Result : Unsatisfiable 0.21s 5.68s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 18 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f949,axiom,
! [V_n,V_m] :
( ~ c_lessequals(c_Suc(V_n),V_m,tc_nat)
| c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f961,axiom,
! [V_m,V_n] : c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f989,axiom,
! [V_m,V_n] :
( ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
| ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1224,axiom,
! [V_m] : c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1266,negated_conjecture,
c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2919,plain,
! [X0,X1] :
( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f949]) ).
fof(f2935,plain,
! [X0,X1] : c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat),
inference(cnf_transformation,[status(thm)],[f961]) ).
fof(f2978,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f989]) ).
fof(f3334,plain,
! [X0] : c_HOL_Ominus__class_Ominus(X0,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[status(thm)],[f1224]) ).
fof(f3401,plain,
c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(cnf_transformation,[status(thm)],[f1266]) ).
fof(f3599,plain,
! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat),
inference(paramodulation,[status(thm)],[f3334,f2935]) ).
fof(f3691,plain,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(resolution,[status(thm)],[f2978,f3599]) ).
fof(f3701,plain,
! [X0] : ~ c_lessequals(c_Suc(X0),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(resolution,[status(thm)],[f3691,f2919]) ).
fof(f3725,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f3401,f3701]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV675-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.42 % Computer : n007.cluster.edu
% 0.16/5.42 % Model : x86_64 x86_64
% 0.16/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.42 % Memory : 8046.5625MB
% 0.16/5.42 % OS : Linux 6.8.0-71-generic
% 0.16/5.42 % CPULimit : 300
% 0.16/5.42 % WCLimit : 300
% 0.16/5.42 % DateTime : Mon Sep 21 09:16:55 UTC 2026
% 0.16/5.42 % CPUTime :
% 0.21/5.57 % Drodi V4.1.1
% 0.21/5.68 % Refutation found
% 0.21/5.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/5.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/5.70 % Elapsed time: 0.270072 seconds
% 0.21/5.70 % CPU time: 0.889650 seconds
% 0.21/5.70 % Total memory used: 179.569 MB
% 0.21/5.70 % Net memory used: 178.715 MB
%------------------------------------------------------------------------------