%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET819-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 02:10:41 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.53s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f310,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1359,negated_conjecture,
! [V_U] : c_in(v_x(V_U),V_U,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1360,negated_conjecture,
! [V_U,V_V] :
( ~ c_in(V_V,v_F,tc_set(t_a))
| ~ c_lessequals(v_x(V_U),V_V,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1779,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(thm)],[f310]) ).
fof(f2837,plain,
! [X0] : c_in(v_x(X0),X0,tc_set(t_a)),
inference(cnf_transformation,[status(thm)],[f1359]) ).
fof(f2838,plain,
! [V_V] :
( ~ c_in(V_V,v_F,tc_set(t_a))
| ! [V_U] : ~ c_lessequals(v_x(V_U),V_V,tc_set(t_a)) ),
inference(miniscoping,[status(thm)],[f1360]) ).
fof(f2839,plain,
! [X0,X1] :
( ~ c_in(X1,v_F,tc_set(t_a))
| ~ c_lessequals(v_x(X0),X1,tc_set(t_a)) ),
inference(cnf_transformation,[status(thm)],[f2838]) ).
fof(f2840,plain,
! [X0] : ~ c_in(v_x(X0),v_F,tc_set(t_a)),
inference(resolution,[status(thm)],[f1779,f2839]) ).
fof(f2841,plain,
$false,
inference(resolution,[status(thm)],[f2840,f2837]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET819-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n020.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 05:40:17 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.49 % Drodi V4.1.1
% 0.27/0.53 % Refutation found
% 0.27/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.58 % Elapsed time: 0.133715 seconds
% 0.27/0.58 % CPU time: 0.189729 seconds
% 0.27/0.58 % Total memory used: 42.521 MB
% 0.27/0.58 % Net memory used: 42.398 MB
%------------------------------------------------------------------------------