%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : SWV262-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n002.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 08:12:08 AM UTC 2025
% Result : Unsatisfiable 0.21s 0.56s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 6 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 10 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c1,axiom,
c_union(c_emptyset,X,Y) = X,
file('theBenchmark.p',cls_Set_OUn__empty__left_0) ).
cnf(c2,axiom,
c_Message_Oparts(c_union(X,Y,tc_Message_Omsg)) = c_union(c_Message_Oparts(X),c_Message_Oparts(Y),tc_Message_Omsg),
file('theBenchmark.p',cls_Message_Oparts__Un_0) ).
cnf(c3,plain,
c_union(c_Message_Oparts(X),c_Message_Oparts(Y),tc_Message_Omsg) = c_Message_Oparts(c_union(X,Y,tc_Message_Omsg)),
inference(equational,[status(thm)],[c2]) ).
cnf(c4,axiom,
c_union(c_insert(X,Y,Z),W,Z) = c_insert(X,c_union(Y,W,Z),Z),
file('theBenchmark.p',cls_Set_OUn__insert__left_0) ).
cnf(g1,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) = c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(equational,[status(thm)],[c1,c3,c4]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV262-2 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 14 20:21:19 EDT 2025
% 0.20/0.33 % CPUTime :
% 0.21/0.56 % SZS status Unsatisfiable
% 0.21/0.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------