%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV763-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:09:04 AM UTC 2026
% Result : Unsatisfiable 5.36s 6.08s
% Output : CNFRefutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 24 ( 4 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_10,axiom,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
file('theBenchmark.p',cls_conjecture_10) ).
cnf(c_108,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
inference(clausify,[status(thm)],[cls_conjecture_10]) ).
fof(cls_conjecture_2,axiom,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_122,plain,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
fof(cls_conjecture_1,axiom,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_123,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_conjecture_0,axiom,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_124,plain,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_mem__def_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ hBOOL(c_in(VAR_1,VAR_0,VAR_2))
| hBOOL(hAPP(VAR_0,VAR_1)) ),
file('theBenchmark.p',cls_mem__def_0) ).
cnf(c_148,plain,
( ~ hBOOL(c_in(B,A,C))
| hBOOL(hAPP(A,B)) ),
inference(clausify,[status(thm)],[cls_mem__def_0]) ).
fof(cls_mem__def_1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ hBOOL(hAPP(VAR_1,VAR_0))
| hBOOL(c_in(VAR_0,VAR_1,VAR_2)) ),
file('theBenchmark.p',cls_mem__def_1) ).
cnf(c_149,plain,
( ~ hBOOL(hAPP(B,A))
| hBOOL(c_in(A,B,C)) ),
inference(clausify,[status(thm)],[cls_mem__def_1]) ).
fof(cls_new__keys__not__used_0,axiom,
! [VAR_0,VAR_1] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,VAR_0),c_Event_Oused(VAR_1),tc_Message_Omsg))
| ~ hBOOL(c_in(VAR_0,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(VAR_1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(VAR_0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_1))),tc_nat)) ),
file('theBenchmark.p',cls_new__keys__not__used_0) ).
cnf(c_205,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Event_Oused(B),tc_Message_Omsg))
| ~ hBOOL(c_in(A,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B))),tc_nat)) ),
inference(clausify,[status(thm)],[cls_new__keys__not__used_0]) ).
fof(cls_Crypt__imp__keysFor_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(VAR_0,VAR_2),VAR_1,tc_Message_Omsg))
| ~ hBOOL(c_in(VAR_0,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(VAR_0,c_Message_OkeysFor(VAR_1),tc_nat)) ),
file('theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
cnf(c_224,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg))
| ~ hBOOL(c_in(A,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(A,c_Message_OkeysFor(B),tc_nat)) ),
inference(clausify,[status(thm)],[cls_Crypt__imp__keysFor_0]) ).
cnf(c_777,plain,
hBOOL(hAPP(c_Message_OsymKeys,v_KAB)),
inference(resolve,[status(thm)],[c_148,c_122]) ).
cnf(c_801,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(A,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
inference(resolve,[status(thm)],[c_205,c_124]) ).
cnf(c_5289,plain,
( ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
inference(resolve,[status(thm)],[c_224,c_108]) ).
cnf(c_814,plain,
hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(resolve,[status(thm)],[c_122,c_5289]) ).
cnf(c_3163,plain,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,A)),
inference(resolve,[status(thm)],[c_777,c_149]) ).
cnf(c_5290,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
inference(resolve,[status(thm)],[c_801,c_3163]) ).
cnf(c_5291,plain,
hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(resolve,[status(thm)],[c_814,c_5290]) ).
cnf(c_5288,plain,
$false,
inference(resolve,[status(thm)],[c_123,c_5291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV763-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.36 % Computer : n001.cluster.edu
% 0.12/5.36 % Model : x86_64 x86_64
% 0.12/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.36 % Memory : 8046.5625MB
% 0.12/5.36 % OS : Linux 6.8.0-71-generic
% 0.12/5.36 % CPULimit : 300
% 0.12/5.36 % WCLimit : 300
% 0.12/5.36 % DateTime : Sat Sep 26 15:01:03 UTC 2026
% 0.12/5.37 % CPUTime :
% 0.12/5.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/5.37 % Process 2050966 was started by sandbox2 on n001,
% 0.12/5.37 % Sat Sep 26 15:01:03 2026
% 0.12/5.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/5.39
% 0.12/5.39 % From the command line: assign(max_seconds, 300).
% 5.36/6.08
% 5.36/6.08 % given #500 (F,wt=14): 2908 c_Message_Omsg_ONonce(A) != v_X. [para(671(a,1),147(a,2))].
% 5.36/6.08
% 5.36/6.08 % SZS status Unsatisfiable for theBenchmark
% 5.36/6.08
% 5.36/6.08 % Proof 1 at 0.55 (+ 0.13) seconds.
% 5.36/6.08 % Length of proof is 13.
% 5.36/6.08 % Level of proof is 3.
% 5.36/6.08 % Maximum clause weight is 53.000.
% 5.36/6.08 % Given clauses 860.
% 5.36/6.08
% 5.36/6.08 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------