%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV322-1 : 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 : 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 : Sun Sep 27 09:07:24 AM UTC 2026
% Result : Unsatisfiable 20.17s 3.05s
% Output : CNFRefutation 20.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 15 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 4 ( 2 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Public_OshrK__in__used_0,axiom,
! [VAR_0,VAR_1] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(VAR_0)),c_Event_Oused(VAR_1),tc_Message_Omsg),
file('theBenchmark.p',cls_Public_OshrK__in__used_0) ).
cnf(c_1963,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(A)),c_Event_Oused(B),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_Public_OshrK__in__used_0]) ).
fof(cls_conjecture_1,axiom,
~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_1969,plain,
~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_conjecture_3,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(c_1971,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(clausify,[status(thm)],[cls_conjecture_3]) ).
fof(cls_conjecture_7,axiom,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_Public_OshrK(v_A) = v_KAB ),
file('theBenchmark.p',cls_conjecture_7) ).
cnf(c_1976,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_Public_OshrK(v_A) = v_KAB ),
inference(clausify,[status(thm)],[cls_conjecture_7]) ).
cnf(c_2116,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| v_KAB = c_Public_OshrK(v_A) ),
inference(copy,[status(thm)],[c_1976]) ).
cnf(c_1977,plain,
v_KAB = c_Public_OshrK(v_A),
inference(resolve,[status(thm)],[c_1971,c_2116]) ).
cnf(c_2117,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_1977,c_1969]) ).
cnf(c_2115,plain,
$false,
inference(resolve,[status(thm)],[c_1963,c_2117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV322-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n010.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 13:32:31 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43 % Process 3440017 was started by sandbox on n010,
% 0.16/0.43 % Sat Sep 26 13:32:31 2026
% 0.16/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.47
% 0.16/0.47 % From the command line: assign(max_seconds, 300).
% 20.17/3.05
% 20.17/3.05 % SZS status Unsatisfiable for theBenchmark
% 20.17/3.05
% 20.17/3.05 % Proof 1 at 2.52 (+ 0.04) seconds.
% 20.17/3.05 % Length of proof is 6.
% 20.17/3.05 % Level of proof is 2.
% 20.17/3.05 % Maximum clause weight is 13.000.
% 20.17/3.05 % Given clauses 0.
% 20.17/3.05
% 20.17/3.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------