TSTP Solution File: SWV242-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 20:30:37 EDT 2022
% Result : Unsatisfiable 3.04s 3.24s
% Output : CNFRefutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 14 unt; 0 nHn; 13 RR)
% Number of literals : 39 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 40 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ).
cnf(cls_Message_Oanalz__mono_0,axiom,
( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) ) ).
cnf(cls_Set_OUn__upper1_0,axiom,
c_lessequals(V_A,c_union(V_A,V_B,T_a),tc_set(T_a)) ).
cnf(cls_Set_OUn__upper2_0,axiom,
c_lessequals(V_B,c_union(V_A,V_B,T_a),tc_set(T_a)) ).
cnf(cls_Set_Osubset__trans_0,axiom,
( ~ c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_lessequals(V_A,V_C,tc_set(T_a)) ) ).
cnf(refute_0_0,plain,
c_lessequals(X_6,c_union(V_A,X_6,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(subst,[],[cls_Set_OUn__upper2_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_B,$fot(X_6))]]) ).
cnf(refute_0_1,plain,
( ~ c_lessequals(X_6,c_union(V_A,X_6,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X_6),c_Message_Oanalz(c_union(V_A,X_6,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Message_Oanalz__mono_0:[bind(V_G,$fot(X_6)),bind(V_H,$fot(c_union(V_A,X_6,tc_Message_Omsg)))]]) ).
cnf(refute_0_2,plain,
c_lessequals(c_Message_Oanalz(X_6),c_Message_Oanalz(c_union(V_A,X_6,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_lessequals(X_6,c_union(V_A,X_6,tc_Message_Omsg),tc_set(tc_Message_Omsg)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ c_lessequals(X_113,c_Message_Oanalz(X_6),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X_6),c_Message_Oanalz(c_union(V_A,X_6,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| c_lessequals(X_113,c_Message_Oanalz(c_union(V_A,X_6,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Set_Osubset__trans_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(X_113)),bind(V_B,$fot(c_Message_Oanalz(X_6))),bind(V_C,$fot(c_Message_Oanalz(c_union(V_A,X_6,tc_Message_Omsg))))]]) ).
cnf(refute_0_4,plain,
( ~ c_lessequals(X_113,c_Message_Oanalz(X_6),tc_set(tc_Message_Omsg))
| c_lessequals(X_113,c_Message_Oanalz(c_union(V_A,X_6,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolve,[$cnf( c_lessequals(c_Message_Oanalz(X_6),c_Message_Oanalz(c_union(V_A,X_6,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg))
| c_lessequals(v_H,c_Message_Oanalz(c_union(X_558,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[refute_0_4:[bind(V_A,$fot(X_558)),bind(X_113,$fot(v_H)),bind(X_6,$fot(v_H_H))]]) ).
cnf(refute_0_6,plain,
c_lessequals(v_H,c_Message_Oanalz(c_union(X_558,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)) )],[cls_conjecture_1,refute_0_5]) ).
cnf(refute_0_7,plain,
c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(subst,[],[refute_0_6:[bind(X_558,$fot(v_G_H))]]) ).
cnf(refute_0_8,plain,
~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )],[refute_0_7,cls_conjecture_2]) ).
cnf(refute_0_9,plain,
c_lessequals(X_6,c_union(X_6,V_B,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(subst,[],[cls_Set_OUn__upper1_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(X_6))]]) ).
cnf(refute_0_10,plain,
( ~ c_lessequals(X_6,c_union(X_6,V_B,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X_6),c_Message_Oanalz(c_union(X_6,V_B,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Message_Oanalz__mono_0:[bind(V_G,$fot(X_6)),bind(V_H,$fot(c_union(X_6,V_B,tc_Message_Omsg)))]]) ).
cnf(refute_0_11,plain,
c_lessequals(c_Message_Oanalz(X_6),c_Message_Oanalz(c_union(X_6,V_B,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_lessequals(X_6,c_union(X_6,V_B,tc_Message_Omsg),tc_set(tc_Message_Omsg)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ c_lessequals(X_113,c_Message_Oanalz(X_6),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X_6),c_Message_Oanalz(c_union(X_6,V_B,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| c_lessequals(X_113,c_Message_Oanalz(c_union(X_6,V_B,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Set_Osubset__trans_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(X_113)),bind(V_B,$fot(c_Message_Oanalz(X_6))),bind(V_C,$fot(c_Message_Oanalz(c_union(X_6,V_B,tc_Message_Omsg))))]]) ).
cnf(refute_0_13,plain,
( ~ c_lessequals(X_113,c_Message_Oanalz(X_6),tc_set(tc_Message_Omsg))
| c_lessequals(X_113,c_Message_Oanalz(c_union(X_6,V_B,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolve,[$cnf( c_lessequals(c_Message_Oanalz(X_6),c_Message_Oanalz(c_union(X_6,V_B,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg))
| c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,X_4119,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[refute_0_13:[bind(V_B,$fot(X_4119)),bind(X_113,$fot(v_G)),bind(X_6,$fot(v_G_H))]]) ).
cnf(refute_0_15,plain,
c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,X_4119,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)) )],[cls_conjecture_0,refute_0_14]) ).
cnf(refute_0_16,plain,
c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(subst,[],[refute_0_15:[bind(X_4119,$fot(v_H_H))]]) ).
cnf(refute_0_17,plain,
$false,
inference(resolve,[$cnf( c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )],[refute_0_16,refute_0_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n012.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 22:00:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.04/3.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.04/3.24
% 3.04/3.24 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.04/3.24
%------------------------------------------------------------------------------