TSTP Solution File: SWV339-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV339-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 20:31:13 EDT 2022
% Result : Unsatisfiable 121.42s 121.65s
% Output : CNFRefutation 121.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 10 unt; 5 nHn; 16 RR)
% Number of literals : 38 ( 21 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 15 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Public_OshrK__in__used_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
cnf(cls_conjecture_6,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ).
cnf(cls_conjecture_8,negated_conjecture,
( v_K = c_Public_OshrK(v_B)
| v_K = c_Public_OshrK(v_A) ) ).
cnf(refute_0_0,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
inference(subst,[],[cls_Public_OshrK__in__used_0:[bind(V_A,$fot(v_A))]]) ).
cnf(refute_0_1,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Event_Oused(X_171),tc_Message_Omsg),
inference(subst,[],[cls_Public_OshrK__in__used_0:[bind(V_A,$fot(v_B)),bind(V_evs,$fot(X_171))]]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( v_K != c_Public_OshrK(v_B)
| c_Public_OshrK(v_B) = v_K ),
inference(subst,[],[refute_0_4:[bind(X,$fot(v_K)),bind(Y,$fot(c_Public_OshrK(v_B)))]]) ).
cnf(refute_0_6,plain,
( c_Public_OshrK(v_B) = v_K
| v_K = c_Public_OshrK(v_A) ),
inference(resolve,[$cnf( $equal(v_K,c_Public_OshrK(v_B)) )],[cls_conjecture_8,refute_0_5]) ).
cnf(refute_0_7,plain,
( c_Public_OshrK(v_B) != v_K
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Event_Oused(X_171),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X_171),tc_Message_Omsg) ),
introduced(tautology,[equality,[$cnf( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Event_Oused(X_171),tc_Message_Omsg) ),[0,0],$fot(v_K)]]) ).
cnf(refute_0_8,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Event_Oused(X_171),tc_Message_Omsg)
| v_K = c_Public_OshrK(v_A)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X_171),tc_Message_Omsg) ),
inference(resolve,[$cnf( $equal(c_Public_OshrK(v_B),v_K) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( v_K = c_Public_OshrK(v_A)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X_171),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Event_Oused(X_171),tc_Message_Omsg) )],[refute_0_1,refute_0_8]) ).
cnf(refute_0_10,plain,
( v_K = c_Public_OshrK(v_A)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
inference(subst,[],[refute_0_9:[bind(X_171,$fot(v_evs3))]]) ).
cnf(refute_0_11,plain,
v_K = c_Public_OshrK(v_A),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) )],[refute_0_10,cls_conjecture_6]) ).
cnf(refute_0_12,plain,
( v_K != c_Public_OshrK(v_A)
| c_Public_OshrK(v_A) = v_K ),
inference(subst,[],[refute_0_4:[bind(X,$fot(v_K)),bind(Y,$fot(c_Public_OshrK(v_A)))]]) ).
cnf(refute_0_13,plain,
c_Public_OshrK(v_A) = v_K,
inference(resolve,[$cnf( $equal(v_K,c_Public_OshrK(v_A)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( c_Public_OshrK(v_A) != v_K
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(V_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(V_evs),tc_Message_Omsg) ),
introduced(tautology,[equality,[$cnf( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ),[0,0],$fot(v_K)]]) ).
cnf(refute_0_15,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(V_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(V_evs),tc_Message_Omsg) ),
inference(resolve,[$cnf( $equal(c_Public_OshrK(v_A),v_K) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(V_evs),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(V_evs),tc_Message_Omsg) )],[refute_0_0,refute_0_15]) ).
cnf(refute_0_17,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(subst,[],[refute_0_16:[bind(V_evs,$fot(v_evs3))]]) ).
cnf(refute_0_18,plain,
$false,
inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) )],[refute_0_17,cls_conjecture_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV339-1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 11:37:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 121.42/121.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 121.42/121.65
% 121.42/121.65 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 121.42/121.65
%------------------------------------------------------------------------------