%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV339-2 : 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 : 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 : Thu Sep 24 09:03:25 AM UTC 2026
% Result : Unsatisfiable 30.16s 30.48s
% Output : Proof 30.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 36 ( 25 unt; 2 nHn; 34 RR)
% Number of literals : 56 ( 30 equ; 21 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_6,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_8,negated_conjecture,
( v_K = c_Public_OshrK(v_A)
| v_K = c_Public_OshrK(v_B) ),
file('theBenchmark.p',cls_conjecture_8) ).
cnf(cls_Public_OshrK__in__used_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
file('theBenchmark.p',cls_Public_OshrK__in__used_0) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_4,axiom,
( c_Message_Omsg_OKey(Eq_x_0) = c_Message_Omsg_OKey(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( c_in(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_in(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,
( v_K = c_Public_OshrK(v_A)
| v_K = c_Public_OshrK(v_B) ),
inference(start,[status(thm),parent(0:0)],[cls_conjecture_8]) ).
cnf(t2,plain,
( c_Message_Omsg_OKey(v_K) = c_Message_Omsg_OKey(c_Public_OshrK(v_B))
| v_K != c_Public_OshrK(v_B) ),
inference(extension,[status(thm),parent(t1:1)],[equality_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( c_Message_Omsg_OKey(c_Public_OshrK(v_B)) = c_Message_Omsg_OKey(v_K)
| c_Message_Omsg_OKey(v_K) != c_Message_Omsg_OKey(c_Public_OshrK(v_B)) ),
inference(extension,[status(thm),parent(t2:2)],[equality_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( c_Event_Oused(v_evs3) != c_Event_Oused(v_evs3)
| tc_Message_Omsg != tc_Message_Omsg
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Event_Oused(v_evs3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_B)) != c_Message_Omsg_OKey(v_K) ),
inference(extension,[status(thm),parent(t4:2)],[equality_7]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(extension,[status(thm),parent(t6:2)],[cls_conjecture_6]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(extension,[status(thm),parent(t6:3)],[cls_Public_OshrK__in__used_0]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
tc_Message_Omsg = tc_Message_Omsg,
inference(extension,[status(thm),parent(t6:4)],[equality_1]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).
cnf(t14,plain,
c_Event_Oused(v_evs3) = c_Event_Oused(v_evs3),
inference(extension,[status(thm),parent(t6:5)],[equality_1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:5]) ).
cnf(t16,plain,
( c_Message_Omsg_OKey(v_K) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| v_K != c_Public_OshrK(v_A) ),
inference(extension,[status(thm),parent(t1:2)],[equality_4]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t1:2]) ).
cnf(t18,plain,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_OKey(v_K)
| c_Message_Omsg_OKey(v_K) != c_Message_Omsg_OKey(c_Public_OshrK(v_A)) ),
inference(extension,[status(thm),parent(t16:2)],[equality_2]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( c_Event_Oused(v_evs3) != c_Event_Oused(v_evs3)
| tc_Message_Omsg != tc_Message_Omsg
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(v_evs3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) != c_Message_Omsg_OKey(v_K) ),
inference(extension,[status(thm),parent(t18:2)],[equality_7]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(extension,[status(thm),parent(t20:2)],[cls_conjecture_6]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(extension,[status(thm),parent(t20:3)],[cls_Public_OshrK__in__used_0]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
tc_Message_Omsg = tc_Message_Omsg,
inference(extension,[status(thm),parent(t20:4)],[equality_1]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t20:4]) ).
cnf(t28,plain,
c_Event_Oused(v_evs3) = c_Event_Oused(v_evs3),
inference(extension,[status(thm),parent(t20:5)],[equality_1]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t20:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV339-2 : 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
% 0.09/0.36 % 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 : Sun Sep 20 03:23:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 30.16/30.48 % SZS status Unsatisfiable for theBenchmark
% 30.16/30.48 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------