%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV262-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 : Fri Sep 25 03:12:40 PM UTC 2026
% Result : Unsatisfiable 4.94s 1.10s
% Output : CNFRefutation 4.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 6 RR)
% Number of literals : 16 ( 15 equ; 5 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 : 30 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg) = c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t4,plain,
c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg) = c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),
inference(orient,[status(thm)],[t1]) ).
cnf(t2,axiom,
c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t5,plain,
c_insert(X1,c_union(X2,X3,X4),X4) = c_union(c_insert(X1,X2,X4),X3,X4),
inference(orient,[status(thm)],[t2]) ).
cnf(t0,axiom,
c_union(c_emptyset,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t3,plain,
c_union(c_emptyset,X1,X2) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t6,plain,
c_union(c_insert(X1,c_emptyset,X2),X3,X2) = c_insert(X1,X3,X2),
inference(cp,[status(thm)],[t5,t3]) ).
cnf(t8,plain,
c_union(c_insert(X1,c_emptyset,X2),X3,X2) = c_insert(X1,X3,X2),
inference(orient,[status(thm)],[t6]) ).
cnf(t9,plain,
c_union(c_insert(X1,c_insert(X2,c_emptyset,X3),X3),X4,X3) = c_insert(X1,c_insert(X2,X4,X3),X3),
inference(cp,[status(thm)],[t5,t8]) ).
cnf(t12,plain,
c_union(c_insert(X1,c_insert(X2,c_emptyset,X3),X3),X4,X3) = c_insert(X1,c_insert(X2,X4,X3),X3),
inference(orient,[status(thm)],[t9]) ).
cnf(goal_0,negated_conjecture,
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) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
c_union(c_Message_Oparts(c_union(c_insert(v_X,c_emptyset,tc_Message_Omsg),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(rw,[status(thm)],[goal_0,t4]) ).
cnf(g0_1,plain,
c_Message_Oparts(c_union(c_union(c_insert(v_X,c_emptyset,tc_Message_Omsg),c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),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(rw,[status(thm)],[g0_0,t4]) ).
cnf(g0_2,plain,
c_Message_Oparts(c_union(c_insert(v_X,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),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(rw,[status(thm)],[g0_1,t8]) ).
cnf(g0_3,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),
inference(rw,[status(thm)],[g0_2,t12]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV262-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 18:56:03 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.94/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.94/1.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------