TSTP Solution File: SWV772-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV772-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 20:40:08 EDT 2022
% Result : Unsatisfiable 0.59s 0.75s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 36 ( 18 unt; 0 nHn; 31 RR)
% Number of literals : 63 ( 62 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 22 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_knows__Nil_0,axiom,
c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ).
cnf(cls_knows__Spy__Says_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ).
cnf(cls_self__append__conv2_1,axiom,
V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
cnf(refute_0_0,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(c_Message_Oagent_OSpy),
inference(subst,[],[cls_knows__Nil_0:[bind(V_A,$fot(c_Message_Oagent_OSpy))]]) ).
cnf(refute_0_1,plain,
c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) = c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
introduced(tautology,[refl,[$fot(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))]]) ).
cnf(refute_0_2,plain,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_OinitState(c_Message_Oagent_OSpy)
| c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
| c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) = c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) ),
introduced(tautology,[equality,[$cnf( $equal(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),[1,1],$fot(c_Event_OinitState(c_Message_Oagent_OSpy))]]) ).
cnf(refute_0_3,plain,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_OinitState(c_Message_Oagent_OSpy)
| c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) = c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) ),
inference(resolve,[$cnf( $equal(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) = c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg),
inference(resolve,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_OinitState(c_Message_Oagent_OSpy)) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(subst,[],[cls_knows__Spy__Says_0:[bind(V_A,$fot(v_A)),bind(V_B,$fot(v_B)),bind(V_X,$fot(v_X)),bind(V_evs,$fot(c_List_Olist_ONil(tc_Event_Oevent)))]]) ).
cnf(refute_0_6,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_7,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_8,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_10,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
| c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)))),bind(Y,$fot(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg))),bind(Z,$fot(c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)))]]) ).
cnf(refute_0_12,plain,
( c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) ),
inference(resolve,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) )],[refute_0_5,refute_0_11]) ).
cnf(refute_0_13,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg),
inference(resolve,[$cnf( $equal(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)) )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
( V_ys != c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a)
| c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ),
inference(subst,[],[refute_0_8:[bind(X,$fot(V_ys)),bind(Y,$fot(c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a)))]]) ).
cnf(refute_0_15,plain,
c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys,
inference(resolve,[$cnf( $equal(V_ys,c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a)) )],[cls_self__append__conv2_1,refute_0_14]) ).
cnf(refute_0_16,plain,
c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) = c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),
inference(subst,[],[refute_0_15:[bind(T_a,$fot(tc_Event_Oevent)),bind(V_ys,$fot(c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)))]]) ).
cnf(refute_0_17,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
introduced(tautology,[refl,[$fot(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)))]]) ).
cnf(refute_0_18,plain,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))
| c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) != c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) ),
introduced(tautology,[equality,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))) ),[1,1],$fot(c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent))]]) ).
cnf(refute_0_19,plain,
( c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) != c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) ),
inference(resolve,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),
inference(resolve,[$cnf( $equal(c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent))
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)))),bind(Y,$fot(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)))),bind(Z,$fot(c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)))]]) ).
cnf(refute_0_22,plain,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) ),
inference(resolve,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg),
inference(resolve,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)) )],[refute_0_13,refute_0_22]) ).
cnf(refute_0_24,plain,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
| c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),[0],$fot(c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg))]]) ).
cnf(refute_0_25,plain,
( c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
inference(resolve,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
| c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
| c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) = c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg),c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ),[1],$fot(c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg))]]) ).
cnf(refute_0_27,plain,
( c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
| c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) = c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
inference(resolve,[$cnf( $equal(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)) )],[refute_0_4,refute_0_26]) ).
cnf(refute_0_28,plain,
( c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
inference(resolve,[$cnf( $equal(c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg),c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) )],[refute_0_27,refute_0_25]) ).
cnf(refute_0_29,plain,
c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg),
inference(resolve,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) )],[refute_0_28,cls_conjecture_0]) ).
cnf(refute_0_30,plain,
c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) = c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg),
introduced(tautology,[refl,[$fot(c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg))]]) ).
cnf(refute_0_31,plain,
$false,
inference(resolve,[$cnf( $equal(c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg),c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)) )],[refute_0_30,refute_0_29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV772-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 15:32:04 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.59/0.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.75
% 0.59/0.75 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.59/0.75
%------------------------------------------------------------------------------