TSTP Solution File: SWV811-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV811-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 20:40:16 EDT 2022
% Result : Unsatisfiable 0.69s 0.90s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 11 RR)
% Number of literals : 21 ( 12 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 10 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_emptyE_0,axiom,
~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
cnf(cls_set__empty2_1,axiom,
c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_List_Oset(c_List_Olist_ONil(T_a),T_a)
| c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),bind(Y,$fot(c_List_Oset(c_List_Olist_ONil(T_a),T_a)))]]) ).
cnf(refute_0_4,plain,
c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
inference(resolve,[$cnf( $equal(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_List_Oset(c_List_Olist_ONil(T_a),T_a)) )],[cls_set__empty2_1,refute_0_3]) ).
cnf(refute_0_5,plain,
c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent) = c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),
inference(subst,[],[refute_0_4:[bind(T_a,$fot(tc_Event_Oevent))]]) ).
cnf(refute_0_6,plain,
( c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent) != c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool))
| ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent) ),
introduced(tautology,[equality,[$cnf( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ),[1],$fot(c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)))]]) ).
cnf(refute_0_7,plain,
( ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent) ),
inference(resolve,[$cnf( $equal(c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent),
inference(resolve,[$cnf( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) )],[cls_conjecture_3,refute_0_7]) ).
cnf(refute_0_9,plain,
~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent),
inference(subst,[],[cls_emptyE_0:[bind(T_a,$fot(tc_Event_Oevent)),bind(V_a,$fot(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))))))]]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent) )],[refute_0_8,refute_0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV811-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.14/0.33 % Computer : n006.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Wed Jun 15 00:50:11 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.69/0.90 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.90
% 0.69/0.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.69/0.90
%------------------------------------------------------------------------------