TSTP Solution File: SWV338-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV338-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n020.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 : Thu Aug 31 21:38:01 EDT 2023
% Result : Unsatisfiable 0.21s 0.59s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 27
% Syntax : Number of formulae : 41 ( 14 unt; 18 typ; 0 def)
% Number of atoms : 37 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 11 >; 7 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 19 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_23,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_24,type,
c_Message_Oparts: $i > $i ).
tff(decl_25,type,
tc_Message_Omsg: $i ).
tff(decl_26,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
c_Event_Oused: $i > $i ).
tff(decl_28,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
c_Message_OkeysFor: $i > $i ).
tff(decl_30,type,
tc_nat: $i ).
tff(decl_31,type,
c_Message_Oanalz: $i > $i ).
tff(decl_32,type,
c_Message_Osynth: $i > $i ).
tff(decl_33,type,
c_union: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
c_Message_OinvKey: $i > $i ).
tff(decl_35,type,
c_Message_Omsg_OKey: $i > $i ).
tff(decl_36,type,
c_Message_OsymKeys: $i ).
tff(decl_37,type,
v_K: $i ).
tff(decl_38,type,
v_X: $i ).
tff(decl_39,type,
v_evsf: $i ).
cnf(cls_Event_OkeysFor__parts__insert__dest_0,axiom,
( c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_union(X3,X4,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg))),tc_nat)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OkeysFor__parts__insert__dest_0) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_6,negated_conjecture,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Set_OUn__absorb_0,axiom,
c_union(X1,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
cnf(cls_Public_OinvKey__K_0,axiom,
( c_Message_OinvKey(X1) = X1
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OinvKey__K_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_9,axiom,
( c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_union(X3,X4,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg))),tc_nat)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
cls_Event_OkeysFor__parts__insert__dest_0 ).
cnf(c_0_10,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
cls_conjecture_5 ).
cnf(c_0_11,negated_conjecture,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
cls_conjecture_6 ).
cnf(c_0_12,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
cls_conjecture_4 ).
cnf(c_0_13,negated_conjecture,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X1,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,axiom,
c_union(X1,X1,X2) = X1,
cls_Set_OUn__absorb_0 ).
cnf(c_0_15,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
cls_conjecture_2 ).
cnf(c_0_16,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat),
inference(sr,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0 ).
cnf(c_0_18,negated_conjecture,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,axiom,
( c_Message_OinvKey(X1) = X1
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
cls_Public_OinvKey__K_0 ).
cnf(c_0_21,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
cls_conjecture_0 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV338-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 06:01:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 0.21/0.59 % Version : CSE_E---1.5
% 0.21/0.59 % Problem : theBenchmark.p
% 0.21/0.59 % Proof found
% 0.21/0.59 % SZS status Theorem for theBenchmark.p
% 0.21/0.59 % SZS output start Proof
% See solution above
% 0.21/0.60 % Total time : 0.005000 s
% 0.21/0.60 % SZS output end Proof
% 0.21/0.60 % Total time : 0.008000 s
%------------------------------------------------------------------------------