%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV339-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 09:07:28 AM UTC 2026
% Result : Unsatisfiable 0.17s 10.48s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 17 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 2 ~; 5 |; 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 : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 6 ( 4 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_6,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_6) ).
cnf(c_1,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_6]) ).
fof(cls_conjecture_8,axiom,
( v_K = c_Public_OshrK(v_A)
| v_K = c_Public_OshrK(v_B) ),
file('theBenchmark.p',cls_conjecture_8) ).
cnf(c_2,plain,
( v_K = c_Public_OshrK(v_A)
| v_K = c_Public_OshrK(v_B) ),
inference(clausify,[status(thm)],[cls_conjecture_8]) ).
cnf(c_9,plain,
( v_K = c_Public_OshrK(v_A)
| c_Public_OshrK(v_B) = v_K ),
inference(copy,[status(thm)],[c_2]) ).
cnf(c_3,plain,
( c_Public_OshrK(v_A) = v_K
| c_Public_OshrK(v_B) = v_K ),
inference(copy,[status(thm)],[c_9]) ).
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_4,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]) ).
cnf(c_5,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(A),tc_Message_Omsg)
| c_Public_OshrK(v_A) = v_K ),
inference(paramod,[status(thm)],[c_3,c_4]) ).
cnf(c_6,plain,
c_Public_OshrK(v_A) = v_K,
inference(resolve,[status(thm)],[c_5,c_1]) ).
cnf(c_7,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(A),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_6,c_4]) ).
cnf(c_8,plain,
$false,
inference(resolve,[status(thm)],[c_7,c_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV339-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/10.46 % Computer : n018.cluster.edu
% 0.17/10.46 % Model : x86_64 x86_64
% 0.17/10.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.46 % Memory : 8046.5625MB
% 0.17/10.46 % OS : Linux 6.8.0-71-generic
% 0.17/10.46 % CPULimit : 300
% 0.17/10.46 % WCLimit : 300
% 0.17/10.46 % DateTime : Sat Sep 26 13:36:48 UTC 2026
% 0.17/10.46 % CPUTime :
% 0.17/10.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/10.46 % Process 567734 was started by sandbox2 on n018,
% 0.17/10.46 % Sat Sep 26 13:36:48 2026
% 0.17/10.46 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/10.47
% 0.17/10.47 % From the command line: assign(max_seconds, 300).
% 0.17/10.48
% 0.17/10.48 % SZS status Unsatisfiable for theBenchmark
% 0.17/10.48
% 0.17/10.48 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.17/10.48 % Length of proof is 8.
% 0.17/10.48 % Level of proof is 5.
% 0.17/10.48 % Maximum clause weight is 10.000.
% 0.17/10.48 % Given clauses 5.
% 0.17/10.48
% 0.17/10.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------