%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV284-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 0.02s 0.31s
% Output : Proof 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 11 unt; 2 nHn; 18 RR)
% Number of literals : 35 ( 0 equ; 14 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 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 : 29 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(V_U,v_x(V_U),tc_nat),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_lessequals(v_N,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_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('theBenchmark.p',cls_conjecture_2) ).
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(t1,plain,
( ~ c_lessequals(v_N,v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat)),tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(start,[status(thm),parent(0:0)],[cls_conjecture_1]) ).
cnf(t2,plain,
( c_in(c_Message_Omsg_ONonce(v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat))),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat))),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t1:1)],[cls_conjecture_2]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ c_lessequals(v_sko__upX(v_msg),v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat)),tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat))),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t2:2)],[cls_Message_Omsg__Nonce__supply_0]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ c_lessequals(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat),v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat)),tc_nat)
| c_lessequals(v_sko__upX(v_msg),v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),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_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat),v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat)),tc_nat),
inference(extension,[status(thm),parent(t6:2)],[cls_conjecture_0]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ c_lessequals(c_plus(v_N,U_67,tc_nat),v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat)),tc_nat)
| c_lessequals(v_N,v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat)),tc_nat) ),
inference(extension,[status(thm),parent(t1:2)],[cls_Nat_Oadd__leE_1]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t1:2]) ).
cnf(t12,plain,
( ~ c_lessequals(c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat)),tc_nat)
| c_lessequals(c_plus(v_N,U_67,tc_nat),v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat)),tc_nat) ),
inference(extension,[status(thm),parent(t10:2)],[cls_Nat_Oadd__leE_1]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ c_lessequals(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat),v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat)),tc_nat)
| c_lessequals(c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat)),tc_nat) ),
inference(extension,[status(thm),parent(t12:2)],[cls_Nat_Oadd__leE_0]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
c_lessequals(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat),v_x(c_plus(v_sko__upX(v_msg),c_plus(c_plus(v_N,U_67,tc_nat),U_70,tc_nat),tc_nat)),tc_nat),
inference(extension,[status(thm),parent(t14:2)],[cls_conjecture_0]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV284-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.01 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sun Sep 20 03:17:07 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.02/0.31 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------