TSTP Solution File: SWV243-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV243-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 16 unt; 0 nHn; 16 RR)
% Number of literals : 43 ( 42 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 24 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_Message_Oanalz(c_Message_Osynth(v_H)) != c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) ).
cnf(cls_Message_Oanalz__synth__Un_0,axiom,
c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg) ).
cnf(cls_Set_OUn__empty__right_0,axiom,
c_union(V_y,c_emptyset,T_a) = V_y ).
cnf(refute_0_0,plain,
c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X_2,c_emptyset,tc_Message_Omsg)),c_Message_Osynth(X_2),tc_Message_Omsg),
inference(subst,[],[cls_Message_Oanalz__synth__Un_0:[bind(V_G,$fot(X_2)),bind(V_H,$fot(c_emptyset))]]) ).
cnf(refute_0_1,plain,
c_union(X_2,c_emptyset,tc_Message_Omsg) = X_2,
inference(subst,[],[cls_Set_OUn__empty__right_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_y,$fot(X_2))]]) ).
cnf(refute_0_2,plain,
( c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) != c_union(c_Message_Oanalz(c_union(X_2,c_emptyset,tc_Message_Omsg)),c_Message_Osynth(X_2),tc_Message_Omsg)
| c_union(X_2,c_emptyset,tc_Message_Omsg) != X_2
| c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) = c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg) ),
introduced(tautology,[equality,[$cnf( $equal(c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)),c_union(c_Message_Oanalz(c_union(X_2,c_emptyset,tc_Message_Omsg)),c_Message_Osynth(X_2),tc_Message_Omsg)) ),[1,0,0],$fot(X_2)]]) ).
cnf(refute_0_3,plain,
( c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) != c_union(c_Message_Oanalz(c_union(X_2,c_emptyset,tc_Message_Omsg)),c_Message_Osynth(X_2),tc_Message_Omsg)
| c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) = c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg) ),
inference(resolve,[$cnf( $equal(c_union(X_2,c_emptyset,tc_Message_Omsg),X_2) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) = c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg),
inference(resolve,[$cnf( $equal(c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)),c_union(c_Message_Oanalz(c_union(X_2,c_emptyset,tc_Message_Omsg)),c_Message_Osynth(X_2),tc_Message_Omsg)) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg) = c_Message_Osynth(X_2),
inference(subst,[],[cls_Set_OUn__empty__right_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_y,$fot(c_Message_Osynth(X_2)))]]) ).
cnf(refute_0_6,plain,
c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) = c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)),
introduced(tautology,[refl,[$fot(c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)))]]) ).
cnf(refute_0_7,plain,
( c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) != c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg))
| c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg) != c_Message_Osynth(X_2)
| c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Osynth(X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg))) ),[1,0],$fot(c_Message_Osynth(X_2))]]) ).
cnf(refute_0_8,plain,
( c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg) != c_Message_Osynth(X_2)
| c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Osynth(X_2)) ),
inference(resolve,[$cnf( $equal(c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) = c_Message_Oanalz(c_Message_Osynth(X_2)),
inference(resolve,[$cnf( $equal(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg),c_Message_Osynth(X_2)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) != c_Message_Oanalz(c_Message_Osynth(X_2))
| c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) != c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg)
| c_Message_Oanalz(c_Message_Osynth(X_2)) = c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg) ),
introduced(tautology,[equality,[$cnf( $equal(c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)),c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg)) ),[0],$fot(c_Message_Oanalz(c_Message_Osynth(X_2)))]]) ).
cnf(refute_0_11,plain,
( c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)) != c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg)
| c_Message_Oanalz(c_Message_Osynth(X_2)) = c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg) ),
inference(resolve,[$cnf( $equal(c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)),c_Message_Oanalz(c_Message_Osynth(X_2))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
c_Message_Oanalz(c_Message_Osynth(X_2)) = c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg),
inference(resolve,[$cnf( $equal(c_Message_Oanalz(c_union(c_Message_Osynth(X_2),c_emptyset,tc_Message_Omsg)),c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg)) )],[refute_0_4,refute_0_11]) ).
cnf(refute_0_13,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_14,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_15,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( c_Message_Oanalz(c_Message_Osynth(X_2)) != c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg)
| c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(X_2)) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(c_Message_Oanalz(c_Message_Osynth(X_2)))),bind(Y,$fot(c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg)))]]) ).
cnf(refute_0_17,plain,
c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(X_2)),
inference(resolve,[$cnf( $equal(c_Message_Oanalz(c_Message_Osynth(X_2)),c_union(c_Message_Oanalz(X_2),c_Message_Osynth(X_2),tc_Message_Omsg)) )],[refute_0_12,refute_0_16]) ).
cnf(refute_0_18,plain,
c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(v_H)),
inference(subst,[],[refute_0_17:[bind(X_2,$fot(v_H))]]) ).
cnf(refute_0_19,plain,
( c_Message_Oanalz(c_Message_Osynth(v_H)) != c_Message_Oanalz(c_Message_Osynth(v_H))
| c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) != c_Message_Oanalz(c_Message_Osynth(v_H))
| c_Message_Oanalz(c_Message_Osynth(v_H)) = c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_Message_Oanalz(c_Message_Osynth(v_H)),c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg)) ),[1],$fot(c_Message_Oanalz(c_Message_Osynth(v_H)))]]) ).
cnf(refute_0_20,plain,
( c_Message_Oanalz(c_Message_Osynth(v_H)) != c_Message_Oanalz(c_Message_Osynth(v_H))
| c_Message_Oanalz(c_Message_Osynth(v_H)) = c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(resolve,[$cnf( $equal(c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Oanalz(c_Message_Osynth(v_H))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
c_Message_Oanalz(c_Message_Osynth(v_H)) != c_Message_Oanalz(c_Message_Osynth(v_H)),
inference(resolve,[$cnf( $equal(c_Message_Oanalz(c_Message_Osynth(v_H)),c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg)) )],[refute_0_20,cls_conjecture_0]) ).
cnf(refute_0_22,plain,
c_Message_Oanalz(c_Message_Osynth(v_H)) = c_Message_Oanalz(c_Message_Osynth(v_H)),
introduced(tautology,[refl,[$fot(c_Message_Oanalz(c_Message_Osynth(v_H)))]]) ).
cnf(refute_0_23,plain,
$false,
inference(resolve,[$cnf( $equal(c_Message_Oanalz(c_Message_Osynth(v_H)),c_Message_Oanalz(c_Message_Osynth(v_H))) )],[refute_0_22,refute_0_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV243-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 22:41:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------