%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV268-2 : 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 : 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 09:03:09 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.61s
% Output : Proof 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 20 unt; 0 nHn; 27 RR)
% Number of literals : 46 ( 22 equ; 19 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Message_Oparts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
file('theBenchmark.p',cls_Message_Oparts__idem_0) ).
cnf(cls_Message_Oparts__mono_0,axiom,
( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
file('theBenchmark.p',cls_Message_Oparts__mono_0) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_5,axiom,
( tc_set(Eq_x_0) = tc_set(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,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(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(start,[status(thm),parent(0:0)],[cls_conjecture_1]) ).
cnf(t2,plain,
( c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))) != c_Message_Oparts(v_H)
| tc_set(tc_Message_Omsg) != tc_set(tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Message_Oparts(v_G)),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))),tc_set(tc_Message_Omsg))
| c_Message_Oparts(c_Message_Oparts(v_G)) != c_Message_Oparts(v_G)
| c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) ),
inference(extension,[status(thm),parent(t1:1)],[equality_6]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
c_Message_Oparts(c_Message_Oparts(v_G)) = c_Message_Oparts(v_G),
inference(extension,[status(thm),parent(t2:2)],[cls_Message_Oparts__idem_0]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(v_H)),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Message_Oparts(v_G)),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))),tc_set(tc_Message_Omsg)) ),
inference(extension,[status(thm),parent(t2:3)],[cls_Message_Oparts__mono_0]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(v_H)),tc_set(tc_Message_Omsg)) ),
inference(extension,[status(thm),parent(t6:2)],[cls_Message_Oparts__mono_0]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(extension,[status(thm),parent(t8:2)],[cls_conjecture_0]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( tc_Message_Omsg != tc_Message_Omsg
| tc_set(tc_Message_Omsg) = tc_set(tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t2:4)],[equality_5]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:4]) ).
cnf(t14,plain,
tc_Message_Omsg = tc_Message_Omsg,
inference(extension,[status(thm),parent(t12:2)],[equality_1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( c_Message_Oparts(c_Message_Oparts(v_H)) != c_Message_Oparts(v_H)
| c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))) != c_Message_Oparts(c_Message_Oparts(v_H))
| c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))) = c_Message_Oparts(v_H) ),
inference(extension,[status(thm),parent(t2:5)],[equality_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:5]) ).
cnf(t18,plain,
c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_H))) = c_Message_Oparts(c_Message_Oparts(v_H)),
inference(extension,[status(thm),parent(t16:2)],[cls_Message_Oparts__idem_0]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
c_Message_Oparts(c_Message_Oparts(v_H)) = c_Message_Oparts(v_H),
inference(extension,[status(thm),parent(t16:3)],[cls_Message_Oparts__idem_0]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV268-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.58 % Computer : n020.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Sun Sep 20 03:16:02 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.61 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------