%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV281-2 : 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 09:03:11 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.47s
% Output : Proof 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 56 ( 38 unt; 3 nHn; 44 RR)
% Number of literals : 86 ( 36 equ; 31 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 78 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(V_V),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| V_U = V_V ),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(cls_List_Olist_Odistinct__1_0,axiom,
c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
file('theBenchmark.p',cls_List_Olist_Odistinct__1_0) ).
cnf(cls_Nat_Ole__add2_0,axiom,
c_lessequals(V_n,c_plus(V_m,V_n,tc_nat),tc_nat),
file('theBenchmark.p',cls_Nat_Ole__add2_0) ).
cnf(cls_Nat_Onat__add__right__cancel_0,axiom,
( V_m = V_n
| c_plus(V_m,V_k,tc_nat) != c_plus(V_n,V_k,tc_nat) ),
file('theBenchmark.p',cls_Nat_Onat__add__right__cancel_0) ).
cnf(cls_Nat_Oop_A_L_Oadd__0_0,axiom,
c_plus(c_0,V_y,tc_nat) = V_y,
file('theBenchmark.p',cls_Nat_Oop_A_L_Oadd__0_0) ).
cnf(cls_Public_ONonce__supply__lemma_0,axiom,
( ~ c_lessequals(v_sko__urX(V_evs),V_U,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_10,axiom,
( c_lessequals(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_lessequals(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(t1,plain,
( ~ c_lessequals(v_sko__urX(v_evs),c_plus(c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat),tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(c_plus(c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat)),c_Event_Oused(v_evs),tc_Message_Omsg) ),
inference(start,[status(thm),parent(0:0)],[cls_Public_ONonce__supply__lemma_0]) ).
cnf(t2,plain,
( c_in(c_Message_Omsg_ONonce(c_plus(c_plus(c_plus(c_List_Olist_OCons(U_276,U_277,U_278),U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat)),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_plus(c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat) = c_plus(c_plus(c_plus(c_List_Olist_OCons(U_276,U_277,U_278),U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat)
| c_in(c_Message_Omsg_ONonce(c_plus(c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat)),c_Event_Oused(v_evs),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t1:1)],[cls_conjecture_0]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat) = c_plus(c_plus(c_List_Olist_OCons(U_276,U_277,U_278),U_274,tc_nat),U_271,tc_nat)
| c_plus(c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat) != c_plus(c_plus(c_plus(c_List_Olist_OCons(U_276,U_277,U_278),U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat) ),
inference(extension,[status(thm),parent(t2:2)],[cls_Nat_Onat__add__right__cancel_0]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( c_plus(c_List_Olist_ONil,U_274,tc_nat) = c_plus(c_List_Olist_OCons(U_276,U_277,U_278),U_274,tc_nat)
| c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat) != c_plus(c_plus(c_List_Olist_OCons(U_276,U_277,U_278),U_274,tc_nat),U_271,tc_nat) ),
inference(extension,[status(thm),parent(t4:2)],[cls_Nat_Onat__add__right__cancel_0]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( c_List_Olist_ONil = c_List_Olist_OCons(U_276,U_277,U_278)
| c_plus(c_List_Olist_ONil,U_274,tc_nat) != c_plus(c_List_Olist_OCons(U_276,U_277,U_278),U_274,tc_nat) ),
inference(extension,[status(thm),parent(t6:2)],[cls_Nat_Onat__add__right__cancel_0]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
c_List_Olist_ONil != c_List_Olist_OCons(U_276,U_277,U_278),
inference(extension,[status(thm),parent(t8:2)],[cls_List_Olist_Odistinct__1_0]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H),c_plus(c_plus(c_plus(c_List_Olist_OCons(U_276,U_277,U_278),U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat),tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(c_plus(c_plus(c_plus(c_List_Olist_OCons(U_276,U_277,U_278),U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat)),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t2:3)],[cls_Public_ONonce__supply__lemma_0]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:3]) ).
cnf(t14,plain,
c_lessequals(v_sko__urX(v_evs_H),c_plus(c_plus(c_plus(c_List_Olist_OCons(U_276,U_277,U_278),U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat),tc_nat),
inference(extension,[status(thm),parent(t12:2)],[cls_Nat_Ole__add2_0]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat) != c_plus(c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat)
| tc_nat != tc_nat
| ~ c_lessequals(c_plus(c_0,v_sko__urX(v_evs),tc_nat),c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat),tc_nat)
| c_plus(c_0,v_sko__urX(v_evs),tc_nat) != v_sko__urX(v_evs)
| c_lessequals(v_sko__urX(v_evs),c_plus(c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat),tc_nat) ),
inference(extension,[status(thm),parent(t1:2)],[equality_10]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t1:2]) ).
cnf(t18,plain,
c_plus(c_0,v_sko__urX(v_evs),tc_nat) = v_sko__urX(v_evs),
inference(extension,[status(thm),parent(t16:2)],[cls_Nat_Oop_A_L_Oadd__0_0]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
c_lessequals(c_plus(c_0,v_sko__urX(v_evs),tc_nat),c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat),tc_nat),
inference(extension,[status(thm),parent(t16:3)],[cls_Nat_Ole__add2_0]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
cnf(t22,plain,
( c_plus(tc_nat,U_293,tc_nat) != c_plus(tc_nat,U_293,tc_nat)
| tc_nat = tc_nat ),
inference(extension,[status(thm),parent(t16:4)],[cls_Nat_Onat__add__right__cancel_0]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t16:4]) ).
cnf(t24,plain,
( c_plus(c_plus(tc_nat,U_293,tc_nat),U_296,tc_nat) != c_plus(c_plus(tc_nat,U_293,tc_nat),U_296,tc_nat)
| c_plus(tc_nat,U_293,tc_nat) = c_plus(tc_nat,U_293,tc_nat) ),
inference(extension,[status(thm),parent(t22:2)],[cls_Nat_Onat__add__right__cancel_0]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
( c_plus(c_plus(c_plus(tc_nat,U_293,tc_nat),U_296,tc_nat),U_299,tc_nat) != c_plus(c_plus(c_plus(tc_nat,U_293,tc_nat),U_296,tc_nat),U_299,tc_nat)
| c_plus(c_plus(tc_nat,U_293,tc_nat),U_296,tc_nat) = c_plus(c_plus(tc_nat,U_293,tc_nat),U_296,tc_nat) ),
inference(extension,[status(thm),parent(t24:2)],[cls_Nat_Onat__add__right__cancel_0]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
c_plus(c_plus(c_plus(tc_nat,U_293,tc_nat),U_296,tc_nat),U_299,tc_nat) = c_plus(c_plus(c_plus(tc_nat,U_293,tc_nat),U_296,tc_nat),U_299,tc_nat),
inference(extension,[status(thm),parent(t26:2)],[equality_1]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(l11,lemma,
tc_nat = tc_nat,
inference(lemma,[status(cth),parent(t16:4),below(t1:2)],[t16:4]) ).
cnf(t30,plain,
( c_in(c_Message_Omsg_ONonce(c_plus(c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat)),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat)),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat) = c_plus(c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat) ),
inference(extension,[status(thm),parent(t16:5)],[cls_conjecture_0]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t16:5]) ).
cnf(t32,plain,
( ~ c_lessequals(v_sko__urX(v_evs),c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat),tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat)),c_Event_Oused(v_evs),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t30:2)],[cls_Public_ONonce__supply__lemma_0]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat) != c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat)
| tc_nat != tc_nat
| ~ c_lessequals(c_plus(c_0,v_sko__urX(v_evs),tc_nat),c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat),tc_nat)
| c_plus(c_0,v_sko__urX(v_evs),tc_nat) != v_sko__urX(v_evs)
| c_lessequals(v_sko__urX(v_evs),c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat),tc_nat) ),
inference(extension,[status(thm),parent(t32:2)],[equality_10]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
c_plus(c_0,v_sko__urX(v_evs),tc_nat) = v_sko__urX(v_evs),
inference(extension,[status(thm),parent(t34:2)],[cls_Nat_Oop_A_L_Oadd__0_0]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
c_lessequals(c_plus(c_0,v_sko__urX(v_evs),tc_nat),c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat),tc_nat),
inference(extension,[status(thm),parent(t34:3)],[cls_Nat_Ole__add2_0]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t34:3]) ).
cnf(t40,plain,
tc_nat = tc_nat,
inference(lemma_extension,[status(thm),parent(t34:4)],[l11:1]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t34:4]) ).
cnf(t42,plain,
c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat) = c_plus(U_314,c_plus(c_0,v_sko__urX(v_evs),tc_nat),tc_nat),
inference(extension,[status(thm),parent(t34:5)],[equality_1]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t34:5]) ).
cnf(t44,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H),c_plus(c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat),tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(c_plus(c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat)),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t30:3)],[cls_Public_ONonce__supply__lemma_0]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t30:3]) ).
cnf(t46,plain,
c_lessequals(v_sko__urX(v_evs_H),c_plus(c_plus(c_plus(c_List_Olist_ONil,U_274,tc_nat),U_271,tc_nat),v_sko__urX(v_evs_H),tc_nat),tc_nat),
inference(extension,[status(thm),parent(t44:2)],[cls_Nat_Ole__add2_0]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV281-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_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
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 03:17:31 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.22/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.47 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------