%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWV243-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 : Tue Sep 29 01:06:33 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 4 RR)
% Number of literals : 16 ( 15 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 : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c2,axiom,
c_union(V_y,c_emptyset,T_a) = V_y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__right_0) ).
cnf(c3,plain,
c_union(X,c_emptyset,tc_Message_Omsg) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
X = c_union(X,c_emptyset,tc_Message_Omsg),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
c_Message_Oanalz(X) = c_Message_Oanalz(c_union(X,c_emptyset,tc_Message_Omsg)),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
c_union(c_Message_Oanalz(X),c_Message_Osynth(X),tc_Message_Omsg) = c_union(c_Message_Oanalz(c_union(X,c_emptyset,tc_Message_Omsg)),c_Message_Osynth(X),tc_Message_Omsg),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,axiom,
c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).
cnf(c8,plain,
c_Message_Oanalz(c_union(c_Message_Osynth(X),c_emptyset,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X,c_emptyset,tc_Message_Omsg)),c_Message_Osynth(X),tc_Message_Omsg),
inference(substitution,[status(thm)],[c7]) ).
cnf(c9,plain,
c_union(c_Message_Oanalz(c_union(X,c_emptyset,tc_Message_Omsg)),c_Message_Osynth(X),tc_Message_Omsg) = c_Message_Oanalz(c_union(c_Message_Osynth(X),c_emptyset,tc_Message_Omsg)),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c10,plain,
c_union(c_Message_Osynth(X),c_emptyset,tc_Message_Omsg) = c_Message_Osynth(X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c11,plain,
c_Message_Oanalz(c_union(c_Message_Osynth(X),c_emptyset,tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Osynth(X)),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
c_union(c_Message_Oanalz(c_union(X,c_emptyset,tc_Message_Omsg)),c_Message_Osynth(X),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(X)),
inference(transitivity,[status(thm)],[c9,c11]) ).
cnf(c13,plain,
c_union(c_Message_Oanalz(X),c_Message_Osynth(X),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(X)),
inference(transitivity,[status(thm)],[c6,c12]) ).
cnf(c14,plain,
c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(v_H)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,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(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
$false,
inference(resolution,[status(thm)],[c1,c15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV243-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 10:17:45 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.25 Command-line arguments: --no-flatten-goal
% 0.08/0.25
% 0.08/0.25 % SZS status Unsatisfiable
% 0.08/0.25
% 0.08/0.25 % SZS output start CNFRefutation
% See solution above
% 0.21/0.26
% 0.21/0.26 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------