TSTP Solution File: SWV273-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV273-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 20:30:48 EDT 2022
% Result : Unsatisfiable 15.40s 15.58s
% Output : CNFRefutation 15.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 11 unt; 0 nHn; 11 RR)
% Number of literals : 29 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 24 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)) ).
cnf(cls_Message_Oparts__mono_0,axiom,
( ~ c_lessequals(V_G,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_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_Osynth__increasing_0,axiom,
c_lessequals(V_H,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg)) ).
cnf(cls_Set_OUn__subset__iff_2,axiom,
( ~ c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_C,tc_set(T_a))
| c_lessequals(c_union(V_A,V_B,T_a),V_C,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_3,c_Message_Osynth(X_3),tc_set(tc_Message_Omsg)),
inference(subst,[],[cls_Message_Osynth__increasing_0:[bind(V_H,$fot(X_3))]]) ).
cnf(refute_0_1,plain,
( ~ c_lessequals(X_3,c_Message_Osynth(X_3),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X_3),c_Message_Oparts(c_Message_Osynth(X_3)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Message_Oparts__mono_0:[bind(V_G,$fot(X_3)),bind(V_H,$fot(c_Message_Osynth(X_3)))]]) ).
cnf(refute_0_2,plain,
c_lessequals(c_Message_Oparts(X_3),c_Message_Oparts(c_Message_Osynth(X_3)),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_lessequals(X_3,c_Message_Osynth(X_3),tc_set(tc_Message_Omsg)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
c_lessequals(c_Message_Oparts(X_23),c_Message_Oparts(X_23),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_23)))]]) ).
cnf(refute_0_4,plain,
( ~ c_lessequals(c_Message_Oparts(X_23),c_Message_Oparts(X_23),tc_set(tc_Message_Omsg))
| c_lessequals(X_23,c_Message_Oparts(X_23),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Message_Oparts__subset__iff_0:[bind(V_G,$fot(X_23)),bind(V_H,$fot(X_23))]]) ).
cnf(refute_0_5,plain,
c_lessequals(X_23,c_Message_Oparts(X_23),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_lessequals(c_Message_Oparts(X_23),c_Message_Oparts(X_23),tc_set(tc_Message_Omsg)) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
c_lessequals(X_2513,c_Message_Oparts(X_2513),tc_set(tc_Message_Omsg)),
inference(subst,[],[refute_0_5:[bind(X_23,$fot(X_2513))]]) ).
cnf(refute_0_7,plain,
( ~ c_lessequals(X_2512,c_Message_Oparts(X_2513),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X_2513,c_Message_Oparts(X_2513),tc_set(tc_Message_Omsg))
| c_lessequals(c_union(X_2512,X_2513,tc_Message_Omsg),c_Message_Oparts(X_2513),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Set_OUn__subset__iff_2:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(X_2512)),bind(V_B,$fot(X_2513)),bind(V_C,$fot(c_Message_Oparts(X_2513)))]]) ).
cnf(refute_0_8,plain,
( ~ c_lessequals(X_2512,c_Message_Oparts(X_2513),tc_set(tc_Message_Omsg))
| c_lessequals(c_union(X_2512,X_2513,tc_Message_Omsg),c_Message_Oparts(X_2513),tc_set(tc_Message_Omsg)) ),
inference(resolve,[$cnf( c_lessequals(X_2513,c_Message_Oparts(X_2513),tc_set(tc_Message_Omsg)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ c_lessequals(c_Message_Oparts(X_3),c_Message_Oparts(c_Message_Osynth(X_3)),tc_set(tc_Message_Omsg))
| c_lessequals(c_union(c_Message_Oparts(X_3),c_Message_Osynth(X_3),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(X_3)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[refute_0_8:[bind(X_2512,$fot(c_Message_Oparts(X_3))),bind(X_2513,$fot(c_Message_Osynth(X_3)))]]) ).
cnf(refute_0_10,plain,
c_lessequals(c_union(c_Message_Oparts(X_3),c_Message_Osynth(X_3),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(X_3)),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_lessequals(c_Message_Oparts(X_3),c_Message_Oparts(c_Message_Osynth(X_3)),tc_set(tc_Message_Omsg)) )],[refute_0_2,refute_0_9]) ).
cnf(refute_0_11,plain,
c_lessequals(c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)),
inference(subst,[],[refute_0_10:[bind(X_3,$fot(v_H))]]) ).
cnf(refute_0_12,plain,
$false,
inference(resolve,[$cnf( c_lessequals(c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)) )],[refute_0_11,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV273-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 06:50:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 15.40/15.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.40/15.58
% 15.40/15.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.40/15.58
%------------------------------------------------------------------------------