%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV801-1 : 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 : n015.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 09:09:08 AM UTC 2026
% Result : Unsatisfiable 14.55s 2.38s
% Output : CNFRefutation 14.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 21 unt; 0 def)
% Number of atoms : 50 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 21 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-2 aty)
% Number of variables : 24 ( 5 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Crypt__imp__keysFor_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ c_in(c_Message_Omsg_OCrypt(VAR_0,VAR_2),VAR_1,tc_Message_Omsg)
| ~ c_in(VAR_0,c_Message_OsymKeys,tc_nat)
| c_in(VAR_0,c_Message_OkeysFor(VAR_1),tc_nat) ),
file('theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
cnf(c_418,plain,
( ~ c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg)
| ~ c_in(A,c_Message_OsymKeys,tc_nat)
| c_in(A,c_Message_OkeysFor(B),tc_nat) ),
inference(clausify,[status(thm)],[cls_Crypt__imp__keysFor_0]) ).
fof(cls_new__keys__not__used_0,axiom,
! [VAR_0,VAR_1] :
( c_in(hAPP(c_Message_Omsg_OKey,VAR_0),c_Event_Oused(VAR_1),tc_Message_Omsg)
| ~ c_in(VAR_0,c_Message_OsymKeys,tc_nat)
| ~ c_in(VAR_1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ 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_443,plain,
( c_in(hAPP(c_Message_Omsg_OKey,A),c_Event_Oused(B),tc_Message_Omsg)
| ~ c_in(A,c_Message_OsymKeys,tc_nat)
| ~ c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ 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_mem__def_1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ hBOOL(hAPP(VAR_1,VAR_0))
| c_in(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_mem__def_1) ).
cnf(c_515,plain,
( ~ hBOOL(hAPP(B,A))
| c_in(A,B,C) ),
inference(clausify,[status(thm)],[cls_mem__def_1]) ).
fof(cls_mem__def_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ c_in(VAR_1,VAR_0,VAR_2)
| hBOOL(hAPP(VAR_0,VAR_1)) ),
file('theBenchmark.p',cls_mem__def_0) ).
cnf(c_516,plain,
( ~ c_in(B,A,C)
| hBOOL(hAPP(A,B)) ),
inference(clausify,[status(thm)],[cls_mem__def_0]) ).
fof(cls_conjecture_2,axiom,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_540,plain,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
fof(cls_conjecture_3,axiom,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(c_541,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_3]) ).
fof(cls_conjecture_4,axiom,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_542,plain,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
fof(cls_conjecture_10,axiom,
v_K = v_KAB,
file('theBenchmark.p',cls_conjecture_10) ).
cnf(c_551,plain,
v_K = v_KAB,
inference(clausify,[status(thm)],[cls_conjecture_10]) ).
cnf(c_552,plain,
v_KAB = v_K,
inference(copy,[status(thm)],[c_551]) ).
fof(cls_conjecture_12,axiom,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_12) ).
cnf(c_555,plain,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_12]) ).
cnf(c_556,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_552,c_555]) ).
cnf(c_636,plain,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(paramod,[status(thm)],[c_552,c_542]) ).
cnf(c_637,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_552,c_541]) ).
cnf(c_2466,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
inference(resolve,[status(thm)],[c_540,c_516]) ).
cnf(c_5573,plain,
( ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat) ),
inference(resolve,[status(thm)],[c_556,c_418]) ).
cnf(c_2534,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat),
inference(resolve,[status(thm)],[c_636,c_5573]) ).
cnf(c_2720,plain,
hBOOL(hAPP(c_Message_OsymKeys,v_K)),
inference(resolve,[status(thm)],[c_636,c_516]) ).
cnf(c_2753,plain,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,A),
inference(resolve,[status(thm)],[c_2466,c_515]) ).
cnf(c_2829,plain,
c_in(v_K,c_Message_OsymKeys,A),
inference(resolve,[status(thm)],[c_2720,c_515]) ).
cnf(c_5574,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolve,[status(thm)],[c_2534,c_443]) ).
cnf(c_5575,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OsymKeys,tc_nat) ),
inference(resolve,[status(thm)],[c_2753,c_5574]) ).
cnf(c_5576,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_2829,c_5575]) ).
cnf(c_5572,plain,
$false,
inference(resolve,[status(thm)],[c_637,c_5576]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV801-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n015.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sat Sep 26 15:02:13 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.43 % Process 149623 was started by sandbox2 on n015,
% 0.18/0.43 % Sat Sep 26 15:02:13 2026
% 0.18/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.18/0.47
% 0.18/0.47 % From the command line: assign(max_seconds, 300).
% 14.55/2.38
% 14.55/2.38 % given #500 (T,wt=4): 2560 class_Orderings_Opreorder(tc_fun(A,tc_bool)). [resolve(574,a,563,b)].
% 14.55/2.38
% 14.55/2.38 % SZS status Unsatisfiable for theBenchmark
% 14.55/2.38
% 14.55/2.38 % Proof 1 at 1.48 (+ 0.36) seconds.
% 14.55/2.38 % Length of proof is 19.
% 14.55/2.38 % Level of proof is 5.
% 14.55/2.38 % Maximum clause weight is 24.000.
% 14.55/2.38 % Given clauses 934.
% 14.55/2.38
% 14.55/2.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------