%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV856-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 02:49:40 PM UTC 2026
% Result : Unsatisfiable 0.18s 5.53s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f563,axiom,
! [T_a,V_x] : ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f573,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1493,plain,
! [X0,X1] : ~ hBOOL(hAPP(hAPP(c_in(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f1507,plain,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))),
inference(cnf_transformation,[status(thm)],[f573]) ).
fof(f1572,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f1507,f1493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV856-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.40 % Computer : n002.cluster.edu
% 0.12/5.40 % Model : x86_64 x86_64
% 0.12/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.40 % Memory : 8046.5625MB
% 0.12/5.40 % OS : Linux 6.8.0-71-generic
% 0.12/5.40 % CPULimit : 300
% 0.12/5.40 % WCLimit : 300
% 0.12/5.40 % DateTime : Mon Sep 21 09:31:37 UTC 2026
% 0.12/5.41 % CPUTime :
% 0.12/5.48 % Drodi V4.1.1
% 0.18/5.53 % Refutation found
% 0.18/5.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/5.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/5.55 % Elapsed time: 0.131138 seconds
% 0.18/5.55 % CPU time: 0.290004 seconds
% 0.18/5.55 % Total memory used: 95.571 MB
% 0.18/5.55 % Net memory used: 95.331 MB
%------------------------------------------------------------------------------