%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : SWV243-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Jul 15 08:12:05 AM UTC 2025
% Result : Unsatisfiable 0.38s 0.55s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 5 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 5 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
c_Message_Oanalz(c_Message_Osynth(v_H)) != c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c1,axiom,
c_union(X,c_emptyset,Y) = X,
file('theBenchmark.p',cls_Set_OUn__empty__right_0) ).
cnf(c2,axiom,
c_Message_Oanalz(c_union(c_Message_Osynth(X),Y,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X,Y,tc_Message_Omsg)),c_Message_Osynth(X),tc_Message_Omsg),
file('theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).
cnf(c3,plain,
c_Message_Oanalz(c_Message_Osynth(X)) = c_union(c_Message_Oanalz(X),c_Message_Osynth(X),tc_Message_Omsg),
inference(equational,[status(thm)],[c1,c2]) ).
cnf(g1,plain,
c_Message_Oanalz(c_Message_Osynth(v_H)) = c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),
inference(equational,[status(thm)],[c3]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV243-2 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.11 % Command : run_Leo-III %s %d THM
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Jul 14 20:19:34 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.38/0.55 % SZS status Unsatisfiable
% 0.38/0.55 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------