%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV338-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 : Fri Sep 25 03:12:58 PM UTC 2026
% Result : Unsatisfiable 5.25s 1.36s
% Output : Proof 5.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 21 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,axiom,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg))),tc_nat)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(V_X,V_G,tc_Message_Omsg))),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OkeysFor__parts__insert__dest_0) ).
fof(f1_nnf,plain,
! [V_K,V_X,V_G,V_H] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg))),tc_nat)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(V_X,V_G,tc_Message_Omsg))),tc_nat) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [V_K,V_X,V_G,V_H] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg))),tc_nat)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(V_X,V_G,tc_Message_Omsg))),tc_nat) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg))),tc_nat)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg))),tc_nat) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f7,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) ).
fof(f7_nnf,plain,
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),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
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),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(p10,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(X0),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_Message_Omsg))),tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[c1,c7]) ).
cnf(f5,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) ).
fof(f5_nnf,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(p11,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,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) ),
inference(resolution,[status(thm)],[p10,c5]) ).
cnf(f0,axiom,
( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_A_hb089c655767d51be) ).
fof(f0_nnf,plain,
! [V_c,V_evs] :
( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [V_c,V_evs] :
( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p12,plain,
( 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) ),
inference(resolution,[status(thm)],[p11,c0]) ).
cnf(f8,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) ).
fof(f8_nnf,plain,
( 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) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( 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) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( 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) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p13,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[p12,c8]) ).
cnf(p14,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(factoring,[status(thm)],[p13]) ).
cnf(f6,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) ).
fof(f6_nnf,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p15,plain,
$false,
inference(resolution,[status(thm)],[p14,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV338-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 19:17:14 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.25/1.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.25/1.36 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------