%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWV262-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/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 : Tue Sep 29 01:06:36 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.27s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 8 RR)
% Number of literals : 35 ( 34 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 : 74 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,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('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c2,axiom,
c_union(c_insert(V_a,V_B,T_a),V_C,T_a) = c_insert(V_a,c_union(V_B,V_C,T_a),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__insert__left_0) ).
cnf(c3,plain,
c_union(c_insert(X3,X2,tc_Message_Omsg),X,tc_Message_Omsg) = c_insert(X3,c_union(X2,X,tc_Message_Omsg),tc_Message_Omsg),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
c_insert(X3,c_union(X2,X,tc_Message_Omsg),tc_Message_Omsg) = c_union(c_insert(X3,X2,tc_Message_Omsg),X,tc_Message_Omsg),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
c_insert(X4,c_insert(X3,c_union(X2,X,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = c_insert(X4,c_union(c_insert(X3,X2,tc_Message_Omsg),X,tc_Message_Omsg),tc_Message_Omsg),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
c_Message_Oparts(c_insert(X4,c_insert(X3,c_union(X2,X,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(X4,c_union(c_insert(X3,X2,tc_Message_Omsg),X,tc_Message_Omsg),tc_Message_Omsg)),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,plain,
c_union(c_insert(X3,X2,tc_Message_Omsg),X,tc_Message_Omsg) = c_insert(X3,c_union(X2,X,tc_Message_Omsg),tc_Message_Omsg),
inference(substitution,[status(thm)],[c2]) ).
cnf(c8,plain,
c_insert(X3,c_union(X2,X,tc_Message_Omsg),tc_Message_Omsg) = c_union(c_insert(X3,X2,tc_Message_Omsg),X,tc_Message_Omsg),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,plain,
c_Message_Oparts(c_insert(X3,c_union(X2,X,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_union(c_insert(X3,X2,tc_Message_Omsg),X,tc_Message_Omsg)),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,axiom,
c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)) = c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).
cnf(c11,plain,
c_Message_Oparts(c_union(c_insert(X3,X2,tc_Message_Omsg),X,tc_Message_Omsg)) = c_union(c_Message_Oparts(c_insert(X3,X2,tc_Message_Omsg)),c_Message_Oparts(X),tc_Message_Omsg),
inference(substitution,[status(thm)],[c10]) ).
cnf(c12,plain,
c_Message_Oparts(c_insert(X3,c_union(X2,X,tc_Message_Omsg),tc_Message_Omsg)) = c_union(c_Message_Oparts(c_insert(X3,X2,tc_Message_Omsg)),c_Message_Oparts(X),tc_Message_Omsg),
inference(transitivity,[status(thm)],[c9,c11]) ).
cnf(c13,plain,
c_Message_Oparts(c_insert(X4,c_union(c_insert(X3,X2,tc_Message_Omsg),X,tc_Message_Omsg),tc_Message_Omsg)) = c_union(c_Message_Oparts(c_insert(X4,c_insert(X3,X2,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X),tc_Message_Omsg),
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,plain,
c_Message_Oparts(c_insert(X4,c_insert(X3,c_union(X2,X,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_union(c_Message_Oparts(c_insert(X4,c_insert(X3,X2,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X),tc_Message_Omsg),
inference(transitivity,[status(thm)],[c6,c13]) ).
cnf(c15,plain,
c_Message_Oparts(c_insert(X3,c_insert(X2,c_union(c_emptyset,X,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_union(c_Message_Oparts(c_insert(X3,c_insert(X2,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X),tc_Message_Omsg),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
c_union(c_Message_Oparts(c_insert(X3,c_insert(X2,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X),tc_Message_Omsg) = c_Message_Oparts(c_insert(X3,c_insert(X2,c_union(c_emptyset,X,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,axiom,
c_union(c_emptyset,V_y,T_a2) = V_y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).
cnf(c18,plain,
c_union(c_emptyset,X,tc_Message_Omsg) = X,
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
c_insert(X2,c_union(c_emptyset,X,tc_Message_Omsg),tc_Message_Omsg) = c_insert(X2,X,tc_Message_Omsg),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,plain,
c_insert(X3,c_insert(X2,c_union(c_emptyset,X,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) = c_insert(X3,c_insert(X2,X,tc_Message_Omsg),tc_Message_Omsg),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
c_Message_Oparts(c_insert(X3,c_insert(X2,c_union(c_emptyset,X,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(X3,c_insert(X2,X,tc_Message_Omsg),tc_Message_Omsg)),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
c_union(c_Message_Oparts(c_insert(X3,c_insert(X2,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(X),tc_Message_Omsg) = c_Message_Oparts(c_insert(X3,c_insert(X2,X,tc_Message_Omsg),tc_Message_Omsg)),
inference(transitivity,[status(thm)],[c16,c21]) ).
cnf(c23,plain,
c_union(c_Message_Oparts(c_insert(v_X,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(v_H),tc_Message_Omsg) = c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c24,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) = c_union(c_Message_Oparts(c_insert(v_X,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
c_Message_Oparts(c_insert(X2,c_union(c_emptyset,X,tc_Message_Omsg),tc_Message_Omsg)) = c_union(c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(X),tc_Message_Omsg),
inference(substitution,[status(thm)],[c12]) ).
cnf(c26,plain,
c_union(c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(X),tc_Message_Omsg) = c_Message_Oparts(c_insert(X2,c_union(c_emptyset,X,tc_Message_Omsg),tc_Message_Omsg)),
inference(symmetry,[status(thm)],[c25]) ).
cnf(c27,plain,
c_union(c_emptyset,X,tc_Message_Omsg) = X,
inference(substitution,[status(thm)],[c17]) ).
cnf(c28,plain,
c_insert(X2,c_union(c_emptyset,X,tc_Message_Omsg),tc_Message_Omsg) = c_insert(X2,X,tc_Message_Omsg),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
c_Message_Oparts(c_insert(X2,c_union(c_emptyset,X,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(X2,X,tc_Message_Omsg)),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,plain,
c_union(c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(X),tc_Message_Omsg) = c_Message_Oparts(c_insert(X2,X,tc_Message_Omsg)),
inference(transitivity,[status(thm)],[c26,c29]) ).
cnf(c31,plain,
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(c_insert(v_X,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)) = 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),
inference(symmetry,[status(thm)],[c31]) ).
cnf(c33,plain,
c_union(c_Message_Oparts(c_insert(v_X,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(v_H),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(congruence,[status(thm)],[c32]) ).
cnf(c34,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(transitivity,[status(thm)],[c24,c33]) ).
cnf(c35,plain,
$false,
inference(resolution,[status(thm)],[c1,c34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV262-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n020.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 10:20:49 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.27 Command-line arguments: --no-flatten-goal
% 0.08/0.27
% 0.08/0.27 % SZS status Unsatisfiable
% 0.08/0.27
% 0.08/0.27 % SZS output start CNFRefutation
% See solution above
% 0.22/0.29
% 0.22/0.29 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------