%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV259-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 20:30:43 EDT 2022
% Result : Unsatisfiable 0.53s 0.74s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 9 RR)
% Number of literals : 22 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 25 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ).
cnf(cls_Message_Oparts__subset__iff_0,axiom,
( ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ) ).
cnf(cls_Message_Oparts__subset__iff_1,axiom,
( ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ) ).
cnf(cls_Set_Oinsert__subset_1,axiom,
( ~ c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a))
| c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(V_A,V_A,tc_set(T_a)) ).
cnf(refute_0_0,plain,
( ~ c_lessequals(X_205,c_Message_Oparts(c_insert(X_206,X_205,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X_205),c_Message_Oparts(c_insert(X_206,X_205,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Message_Oparts__subset__iff_1:[bind(V_G,$fot(X_205)),bind(V_H,$fot(c_insert(X_206,X_205,tc_Message_Omsg)))]]) ).
cnf(refute_0_1,plain,
c_lessequals(c_Message_Oparts(X_3),c_Message_Oparts(X_3),tc_set(tc_Message_Omsg)),
inference(subst,[],[cls_Set_Osubset__refl_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(c_Message_Oparts(X_3)))]]) ).
cnf(refute_0_2,plain,
( ~ c_lessequals(c_Message_Oparts(X_3),c_Message_Oparts(X_3),tc_set(tc_Message_Omsg))
| c_lessequals(X_3,c_Message_Oparts(X_3),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Message_Oparts__subset__iff_0:[bind(V_G,$fot(X_3)),bind(V_H,$fot(X_3))]]) ).
cnf(refute_0_3,plain,
c_lessequals(X_3,c_Message_Oparts(X_3),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_lessequals(c_Message_Oparts(X_3),c_Message_Oparts(X_3),tc_set(tc_Message_Omsg)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
c_lessequals(c_insert(X_185,X_183,tc_Message_Omsg),c_Message_Oparts(c_insert(X_185,X_183,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(subst,[],[refute_0_3:[bind(X_3,$fot(c_insert(X_185,X_183,tc_Message_Omsg)))]]) ).
cnf(refute_0_5,plain,
( ~ c_lessequals(c_insert(X_185,X_183,tc_Message_Omsg),c_Message_Oparts(c_insert(X_185,X_183,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| c_lessequals(X_183,c_Message_Oparts(c_insert(X_185,X_183,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Set_Oinsert__subset_1:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(X_183)),bind(V_B,$fot(c_Message_Oparts(c_insert(X_185,X_183,tc_Message_Omsg)))),bind(V_x,$fot(X_185))]]) ).
cnf(refute_0_6,plain,
c_lessequals(X_183,c_Message_Oparts(c_insert(X_185,X_183,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_lessequals(c_insert(X_185,X_183,tc_Message_Omsg),c_Message_Oparts(c_insert(X_185,X_183,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
c_lessequals(X_205,c_Message_Oparts(c_insert(X_206,X_205,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(subst,[],[refute_0_6:[bind(X_183,$fot(X_205)),bind(X_185,$fot(X_206))]]) ).
cnf(refute_0_8,plain,
c_lessequals(c_Message_Oparts(X_205),c_Message_Oparts(c_insert(X_206,X_205,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_lessequals(X_205,c_Message_Oparts(c_insert(X_206,X_205,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )],[refute_0_7,refute_0_0]) ).
cnf(refute_0_9,plain,
c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(subst,[],[refute_0_8:[bind(X_205,$fot(v_H)),bind(X_206,$fot(v_X))]]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )],[refute_0_9,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV259-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 10:55:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.53/0.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.74
% 0.53/0.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.53/0.75
%------------------------------------------------------------------------------