%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV283-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /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 : Thu Sep 24 09:03:12 AM UTC 2026
% Result : Unsatisfiable 0.30s 0.56s
% Output : Proof 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 39 ( 18 unt; 7 nHn; 34 RR)
% Number of literals : 64 ( 0 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 31 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Omsg__Nonce__supply_0,axiom,
( ~ c_lessequals(v_sko__upX(V_msg),V_U,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U),c_Message_Oparts(c_insert(V_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
cnf(cls_Nat_Oadd__leE_0,axiom,
( c_lessequals(V_k,V_n,tc_nat)
| ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat) ),
file('theBenchmark.p',cls_Nat_Oadd__leE_0) ).
cnf(cls_Nat_Oadd__leE_1,axiom,
( c_lessequals(V_m,V_n,tc_nat)
| ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat) ),
file('theBenchmark.p',cls_Nat_Oadd__leE_1) ).
cnf(cls_conjecture_0,negated_conjecture,
( ~ c_lessequals(v_x,V_U,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_lessequals(V_U,v_xd(V_U),tc_nat)
| c_lessequals(V_W,v_xd(V_W),tc_nat) ),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_9,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_xd(V_U)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(V_U)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(V_X)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(V_X)),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('theBenchmark.p',cls_conjecture_9) ).
cnf(t1,plain,
( ~ c_lessequals(v_sko__upX(v_xc),v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat))),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(start,[status(thm),parent(0:0)],[cls_Message_Omsg__Nonce__supply_0]) ).
cnf(t2,plain,
( c_in(c_Message_Omsg_ONonce(v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat))),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat))),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t1:1)],[cls_conjecture_9]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ c_lessequals(v_x,v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat)),tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t2:2)],[cls_conjecture_0]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ c_lessequals(c_plus(v_x,v_sko__upX(v_xc),tc_nat),v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat)),tc_nat)
| c_lessequals(v_x,v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat)),tc_nat) ),
inference(extension,[status(thm),parent(t4:2)],[cls_Nat_Oadd__leE_1]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( c_lessequals(c_plus(v_x,v_sko__upX(v_xc),tc_nat),v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat)),tc_nat)
| c_lessequals(c_plus(v_x,v_sko__upX(v_xc),tc_nat),v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat)),tc_nat) ),
inference(extension,[status(thm),parent(t6:2)],[cls_conjecture_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
$false,
inference(reduction,[status(thm),parent(t8:2)],[t8:2,t6:2]) ).
cnf(t11,plain,
( ~ c_lessequals(v_x,v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t2:3)],[cls_conjecture_0]) ).
cnf(t12,plain,
$false,
inference(connection,[status(thm),parent(t11:1)],[t11:1,t2:3]) ).
cnf(t13,plain,
( ~ c_lessequals(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat),v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat)
| c_lessequals(v_x,v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat) ),
inference(extension,[status(thm),parent(t11:2)],[cls_Nat_Oadd__leE_1]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t11:2]) ).
cnf(t15,plain,
( c_lessequals(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat),v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat)
| c_lessequals(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat),v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat) ),
inference(extension,[status(thm),parent(t13:2)],[cls_conjecture_4]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t13:2]) ).
cnf(t17,plain,
$false,
inference(reduction,[status(thm),parent(t15:2)],[t15:2,t13:2]) ).
cnf(t18,plain,
( ~ c_lessequals(v_sko__upX(v_xc),v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat)),tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat))),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t2:4)],[cls_Message_Omsg__Nonce__supply_0]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:4]) ).
cnf(t20,plain,
( ~ c_lessequals(c_plus(v_x,v_sko__upX(v_xc),tc_nat),v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat)),tc_nat)
| c_lessequals(v_sko__upX(v_xc),v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat)),tc_nat) ),
inference(extension,[status(thm),parent(t18:2)],[cls_Nat_Oadd__leE_0]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( c_lessequals(c_plus(v_x,v_sko__upX(v_xc),tc_nat),v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat)),tc_nat)
| c_lessequals(c_plus(v_x,v_sko__upX(v_xc),tc_nat),v_xd(c_plus(v_x,v_sko__upX(v_xc),tc_nat)),tc_nat) ),
inference(extension,[status(thm),parent(t20:2)],[cls_conjecture_4]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
$false,
inference(reduction,[status(thm),parent(t22:2)],[t22:2,t20:2]) ).
cnf(t25,plain,
( ~ c_lessequals(c_plus(v_sko__upX(v_xc),U_104,tc_nat),v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat)
| c_lessequals(v_sko__upX(v_xc),v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat) ),
inference(extension,[status(thm),parent(t1:2)],[cls_Nat_Oadd__leE_1]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t1:2]) ).
cnf(t27,plain,
( ~ c_lessequals(c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat)
| c_lessequals(c_plus(v_sko__upX(v_xc),U_104,tc_nat),v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat) ),
inference(extension,[status(thm),parent(t25:2)],[cls_Nat_Oadd__leE_1]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t25:2]) ).
cnf(t29,plain,
( ~ c_lessequals(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat),v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat)
| c_lessequals(c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat) ),
inference(extension,[status(thm),parent(t27:2)],[cls_Nat_Oadd__leE_0]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t27:2]) ).
cnf(t31,plain,
( c_lessequals(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat),v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat)
| c_lessequals(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat),v_xd(c_plus(v_x,c_plus(c_plus(v_sko__upX(v_xc),U_104,tc_nat),U_107,tc_nat),tc_nat)),tc_nat) ),
inference(extension,[status(thm),parent(t29:2)],[cls_conjecture_4]) ).
cnf(t32,plain,
$false,
inference(connection,[status(thm),parent(t31:1)],[t31:1,t29:2]) ).
cnf(t33,plain,
$false,
inference(reduction,[status(thm),parent(t31:2)],[t31:2,t29:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV283-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 03:17:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.30/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.30/0.56 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------