%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV317-1 : 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 : n008.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 09:07:23 AM UTC 2026
% Result : Unsatisfiable 39.80s 6.25s
% Output : CNFRefutation 39.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 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 : 5 ( 3 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_3984,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_3997,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_3999,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_4003,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_4004,plain,
c_Public_OshrK(v_A) = v_KAB,
inference(resolve,[status(thm)],[c_3999,c_4003]) ).
cnf(c_14018,plain,
c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(A),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_4004,c_3984]) ).
cnf(c_14019,plain,
$false,
inference(resolve,[status(thm)],[c_14018,c_3997]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV317-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 13:32:40 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.37 % Process 3782076 was started by sandbox2 on n008,
% 0.15/0.37 % Sat Sep 26 13:32:40 2026
% 0.15/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/0.44
% 0.15/0.44 % From the command line: assign(max_seconds, 300).
% 39.80/6.25
% 39.80/6.25 % given #500 (I,wt=9): 871 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # tptp_name(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_22) # clausal_fof(1). [assumption].
% 39.80/6.25
% 39.80/6.25 % given #1000 (I,wt=22): 1393 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_lessequals(B,C,A) | c_SetInterval_OatLeastLessThan(C,B,A) = c_emptyset. [resolve(14,b,5,a)].
% 39.80/6.25
% 39.80/6.25 % given #1500 (I,wt=18): 1941 -class_Ring__and__Field_Osemiring__1(A) | c_plus(B,c_0,A) = B. [resolve(193,b,191,b)].
% 39.80/6.25
% 39.80/6.25 % given #2000 (I,wt=63): 2549 -c_in(c_Pair(c_List_Olist_OCons(A,B,C),c_List_Olist_OCons(D,E,C),tc_List_Olist(C),tc_List_Olist(C)),c_List_Olexord(F,C),tc_prod(tc_List_Olist(C),tc_List_Olist(C))) | c_in(c_Pair(A,D,C,C),F,tc_prod(C,C)) | c_in(c_Pair(B,E,tc_List_Olist(C),tc_List_Olist(C)),c_List_Olexord(F,C),tc_prod(tc_List_Olist(C),tc_List_Olist(C))) # tptp_name(cls_List_Olexord__cons__cons_1) # clausal_fof(1). [assumption].
% 39.80/6.25
% 39.80/6.25 % given #2500 (I,wt=18): 3151 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_lessequals(c_0,c_HOL_Oabs(B,A),A) # tptp_name(cls_OrderedGroup_Oabs__ge__zero_0) # clausal_fof(1). [assumption].
% 39.80/6.25
% 39.80/6.25 % given #3000 (I,wt=24): 3756 -c_less(A,B,tc_nat) | c_in(c_Pair(A,B,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) # tptp_name(cls_Wellfounded__Relations_Oless__than__iff_1) # clausal_fof(1). [assumption].
% 39.80/6.25
% 39.80/6.25 % SZS status Unsatisfiable for theBenchmark
% 39.80/6.25
% 39.80/6.25 % Proof 1 at 5.36 (+ 0.29) seconds.
% 39.80/6.25 % Length of proof is 7.
% 39.80/6.25 % Level of proof is 3.
% 39.80/6.25 % Maximum clause weight is 22.000.
% 39.80/6.25 % Given clauses 3191.
% 39.80/6.25
% 39.80/6.25 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------