%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV254-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 02:47:02 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 14 unt; 0 def)
% Number of atoms : 22 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [T_a,V_n,V_m] :
( c_SetInterval_OatLeastLessThan(V_m,V_n,T_a) = c_emptyset
| ~ c_lessequals(V_n,V_m,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [V_m] : c_SetInterval_OatLeastLessThan(V_m,c_Suc(V_m),tc_nat) = c_insert(V_m,c_emptyset,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_a,V_A,T_a] : c_emptyset != c_insert(V_a,V_A,T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [V_U] : c_lessequals(V_U,v_x(V_U),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [V_U] : v_x(V_U) = v_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1,X2] :
( c_SetInterval_OatLeastLessThan(X2,X1,X0) = c_emptyset
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0] : c_SetInterval_OatLeastLessThan(X0,c_Suc(X0),tc_nat) = c_insert(X0,c_emptyset,tc_nat),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] : c_emptyset != c_insert(X0,X1,X2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0] : c_lessequals(X0,v_x(X0),tc_nat),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0] : v_x(X0) = v_nat,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
class_Orderings_Oorder(tc_nat),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,plain,
! [X0] : c_lessequals(X0,v_nat,tc_nat),
inference(backward_demodulation,[status(thm)],[f11,f10]) ).
fof(f14,plain,
! [X0,X1] :
( c_SetInterval_OatLeastLessThan(X1,X0,tc_nat) = c_emptyset
| ~ c_lessequals(X0,X1,tc_nat) ),
inference(resolution,[status(thm)],[f12,f7]) ).
fof(f15,plain,
! [X0] : c_SetInterval_OatLeastLessThan(v_nat,X0,tc_nat) = c_emptyset,
inference(resolution,[status(thm)],[f14,f13]) ).
fof(f16,plain,
c_emptyset = c_insert(v_nat,c_emptyset,tc_nat),
inference(paramodulation,[status(thm)],[f15,f8]) ).
fof(f18,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f16,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV254-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n007.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 08:34:21 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.47 % Drodi V4.1.1
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.57 % Elapsed time: 0.108618 seconds
% 0.26/0.57 % CPU time: 0.099014 seconds
% 0.26/0.57 % Total memory used: 2.072 MB
% 0.26/0.57 % Net memory used: 2.070 MB
%------------------------------------------------------------------------------