%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV321-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 09:07:24 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 62 ( 25 ~; 37 |; 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; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 43 ( 7 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_1,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_1,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_conjecture_2,axiom,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_2,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
fof(cls_conjecture_4,axiom,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_3,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
fof(cls_conjecture_5,axiom,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_conjecture_5) ).
cnf(c_4,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_conjecture_5]) ).
fof(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_in(VAR_0,c_union(c_Message_Osynth(c_Message_Oanalz(VAR_2)),c_Message_Oparts(VAR_2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(VAR_1,c_Message_Osynth(c_Message_Oanalz(VAR_2)),tc_Message_Omsg)
| ~ c_in(VAR_0,c_Message_Oparts(c_insert(VAR_1,VAR_2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
cnf(c_5,plain,
( c_in(A,c_union(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg)
| ~ c_in(A,c_Message_Oparts(c_insert(B,C,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]) ).
fof(cls_Message_OKey__synth_0,axiom,
! [VAR_0,VAR_1] :
( c_in(c_Message_Omsg_OKey(VAR_0),VAR_1,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(VAR_0),c_Message_Osynth(VAR_1),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_OKey__synth_0) ).
cnf(c_6,plain,
( c_in(c_Message_Omsg_OKey(A),B,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(A),c_Message_Osynth(B),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_OKey__synth_0]) ).
fof(cls_Message_Oanalz__into__parts__dest_0,axiom,
! [VAR_0,VAR_1] :
( c_in(VAR_0,c_Message_Oparts(VAR_1),tc_Message_Omsg)
| ~ c_in(VAR_0,c_Message_Oanalz(VAR_1),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
cnf(c_7,plain,
( c_in(A,c_Message_Oparts(B),tc_Message_Omsg)
| ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_Oanalz__into__parts__dest_0]) ).
fof(cls_Message_Oparts_OInj_0,axiom,
! [VAR_0,VAR_1] :
( c_in(VAR_0,c_Message_Oparts(VAR_1),tc_Message_Omsg)
| ~ c_in(VAR_0,VAR_1,tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_Oparts_OInj_0) ).
cnf(c_8,plain,
( c_in(A,c_Message_Oparts(B),tc_Message_Omsg)
| ~ c_in(A,B,tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_Oparts_OInj_0]) ).
fof(cls_Public_OSpy__spies__bad__shrK_0,axiom,
! [VAR_0,VAR_1] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(VAR_0)),c_Event_Oknows(c_Message_Oagent_OSpy,VAR_1),tc_Message_Omsg)
| ~ c_in(VAR_0,c_Event_Obad,tc_Message_Oagent) ),
file('theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
cnf(c_9,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)
| ~ c_in(A,c_Event_Obad,tc_Message_Oagent) ),
inference(clausify,[status(thm)],[cls_Public_OSpy__spies__bad__shrK_0]) ).
fof(cls_Set_OUnE_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,VAR_1,VAR_3)
| c_in(VAR_0,VAR_2,VAR_3)
| ~ c_in(VAR_0,c_union(VAR_1,VAR_2,VAR_3),VAR_3) ),
file('theBenchmark.p',cls_Set_OUnE_0) ).
cnf(c_10,plain,
( c_in(A,B,D)
| c_in(A,C,D)
| ~ c_in(A,c_union(B,C,D),D) ),
inference(clausify,[status(thm)],[cls_Set_OUnE_0]) ).
fof(cls_Set_OinsertCI_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,c_insert(VAR_3,VAR_1,VAR_2),VAR_2)
| ~ c_in(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_Set_OinsertCI_0) ).
cnf(c_11,plain,
( c_in(A,c_insert(D,B,C),C)
| ~ c_in(A,B,C) ),
inference(clausify,[status(thm)],[cls_Set_OinsertCI_0]) ).
cnf(c_100,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_5,c_4]) ).
cnf(c_13,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_1,c_100]) ).
cnf(c_17,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,A),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_9,c_4]) ).
cnf(c_22,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[status(thm)],[c_13,c_10]) ).
cnf(c_36,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_17,c_11]) ).
cnf(c_101,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[status(thm)],[c_22,c_2]) ).
cnf(c_57,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(copy,[status(thm)],[c_101]) ).
cnf(c_68,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[status(thm)],[c_57,c_6]) ).
cnf(c_75,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[status(thm)],[c_68,c_7]) ).
cnf(c_102,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[status(thm)],[c_75,c_2]) ).
cnf(c_81,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(copy,[status(thm)],[c_102]) ).
cnf(c_84,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_81,c_3]) ).
cnf(c_87,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(A,c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_84,c_36]) ).
cnf(c_103,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_8,c_84]) ).
cnf(c_99,plain,
$false,
inference(resolve,[status(thm)],[c_87,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV321-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n016.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 13:37:00 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 987338 was started by sandbox on n016,
% 0.17/0.43 % Sat Sep 26 13:37:00 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.43
% 0.17/0.43 % From the command line: assign(max_seconds, 300).
% 0.17/0.45
% 0.17/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.45
% 0.17/0.45 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.17/0.45 % Length of proof is 22.
% 0.17/0.45 % Level of proof is 9.
% 0.17/0.45 % Maximum clause weight is 45.000.
% 0.17/0.45 % Given clauses 34.
% 0.17/0.45
% 0.17/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------