TSTP Solution File: SWV733-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV733-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 : 300s
% DateTime : Tue Apr 30 20:49:14 EDT 2024
% Result : Unsatisfiable 20.71s 3.03s
% Output : CNFRefutation 21.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 57 ( 23 unt; 0 def)
% Number of atoms : 96 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 79 ( 40 ~; 38 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f136,axiom,
! [V_A,V_B,T_a] :
( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
| c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f273,axiom,
! [V_G,V_H] :
( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f366,axiom,
! [V_X,V_H,V_G] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f483,axiom,
! [V_a,V_A,T_a] : c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f654,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f655,axiom,
! [V_x,V_A,T_a] : hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f662,axiom,
! [V_X,V_H] :
( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
| ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f668,axiom,
! [V_H] : c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f674,axiom,
! [V_X,V_H,V_K] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f689,axiom,
! [V_x,V_S,T_a] :
( c_in(V_x,V_S,T_a)
| ~ hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f704,axiom,
! [V_a,V_A,T_a] :
( c_Set_Oinsert(V_a,V_A,T_a) = V_A
| ~ c_in(V_a,V_A,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f715,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f716,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f717,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f940,plain,
! [X0,X1,X2] :
( c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) != X1
| c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f1157,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[status(esa)],[f273]) ).
fof(f1296,plain,
! [V_X,V_G] :
( ! [V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) )
| ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ),
inference(miniscoping,[status(esa)],[f366]) ).
fof(f1297,plain,
! [X0,X1,X2] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f1296]) ).
fof(f1459,plain,
! [X0,X1,X2] : c_Set_Oinsert(X0,X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X1,tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(esa)],[f483]) ).
fof(f1702,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f654]) ).
fof(f1703,plain,
! [X0,X1,X2] : hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)),
inference(cnf_transformation,[status(esa)],[f655]) ).
fof(f1711,plain,
! [X0,X1] :
( c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f662]) ).
fof(f1721,plain,
! [X0] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(esa)],[f668]) ).
fof(f1727,plain,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ! [V_K] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(esa)],[f674]) ).
fof(f1728,plain,
! [X0,X1,X2] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f1727]) ).
fof(f1746,plain,
! [V_x,V_S] :
( ! [T_a] : c_in(V_x,V_S,T_a)
| ~ hBOOL(hAPP(V_S,V_x)) ),
inference(miniscoping,[status(esa)],[f689]) ).
fof(f1747,plain,
! [X0,X1,X2] :
( c_in(X0,X1,X2)
| ~ hBOOL(hAPP(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f1746]) ).
fof(f1770,plain,
! [X0,X1,X2] :
( c_Set_Oinsert(X0,X1,X2) = X1
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f704]) ).
fof(f1785,plain,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f715]) ).
fof(f1786,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f716]) ).
fof(f1787,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f717]) ).
fof(f1861,plain,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_Set_Oinsert(X0,c_Message_Oparts(X1),tc_Message_Omsg) = c_Message_Oparts(X1) ),
inference(resolution,[status(thm)],[f1702,f1770]) ).
fof(f2844,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),
inference(resolution,[status(thm)],[f1711,f1785]) ).
fof(f3510,plain,
c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f1728,f1785]) ).
fof(f3549,plain,
c_Set_Oinsert(v_X,c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),
inference(resolution,[status(thm)],[f3510,f1861]) ).
fof(f3550,plain,
c_Set_Oinsert(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),
inference(forward_demodulation,[status(thm)],[f1721,f3549]) ).
fof(f3551,plain,
c_Set_Oinsert(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),
inference(forward_demodulation,[status(thm)],[f1721,f3550]) ).
fof(f4648,plain,
( spl0_38
<=> c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(split_symbol_definition) ).
fof(f4649,plain,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f4648]) ).
fof(f4650,plain,
( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| spl0_38 ),
inference(component_clause,[status(thm)],[f4648]) ).
fof(f4659,plain,
( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool))
| spl0_38 ),
inference(forward_demodulation,[status(thm)],[f2844,f4650]) ).
fof(f4666,plain,
( ~ c_lessequals(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool))
| spl0_38 ),
inference(resolution,[status(thm)],[f4659,f1157]) ).
fof(f4684,plain,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f2844,f4649]) ).
fof(f4898,plain,
! [X0] :
( c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),tc_Message_Omsg)
| ~ spl0_38 ),
inference(resolution,[status(thm)],[f4684,f1297]) ).
fof(f4899,plain,
! [X0] :
( c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f1721,f4898]) ).
fof(f4906,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ spl0_38 ),
inference(resolution,[status(thm)],[f4899,f1786]) ).
fof(f4907,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f4906,f1787]) ).
fof(f4908,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f4907]) ).
fof(f5248,plain,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),v_X)),
inference(paramodulation,[status(thm)],[f3551,f1703]) ).
fof(f6037,plain,
! [X0] : c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0),
inference(resolution,[status(thm)],[f1747,f5248]) ).
fof(f6220,plain,
! [X0] : c_Set_Oinsert(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),
inference(resolution,[status(thm)],[f6037,f1770]) ).
fof(f30773,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))
| spl0_38 ),
inference(resolution,[status(thm)],[f940,f4666]) ).
fof(f30774,plain,
( c_Set_Oinsert(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))
| spl0_38 ),
inference(forward_demodulation,[status(thm)],[f1459,f30773]) ).
fof(f30775,plain,
( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) != c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))
| spl0_38 ),
inference(forward_demodulation,[status(thm)],[f6220,f30774]) ).
fof(f30776,plain,
( $false
| spl0_38 ),
inference(trivial_equality_resolution,[status(esa)],[f30775]) ).
fof(f30777,plain,
spl0_38,
inference(contradiction_clause,[status(thm)],[f30776]) ).
fof(f30778,plain,
$false,
inference(sat_refutation,[status(thm)],[f4908,f30777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV733-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:47:14 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.40 % Drodi V3.6.0
% 20.71/3.03 % Refutation found
% 20.71/3.03 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 20.71/3.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.00/3.14 % Elapsed time: 2.775606 seconds
% 21.00/3.14 % CPU time: 21.302602 seconds
% 21.00/3.14 % Total memory used: 522.216 MB
% 21.00/3.14 % Net memory used: 513.144 MB
%------------------------------------------------------------------------------