%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV320-1 : 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 : 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 09:07:23 AM UTC 2026
% Result : Unsatisfiable 46.38s 7.36s
% Output : CNFRefutation 46.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_OtwayRees_OSpy__see__shrK_0,axiom,
! [VAR_0,VAR_1] :
( c_in(VAR_1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(VAR_1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_0)),tc_Message_Omsg)
| ~ c_in(VAR_0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('theBenchmark.p',cls_OtwayRees_OSpy__see__shrK_0) ).
cnf(c_3452,plain,
( c_in(B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)
| ~ c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(clausify,[status(thm)],[cls_OtwayRees_OSpy__see__shrK_0]) ).
fof(cls_conjecture_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_3454,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_1,axiom,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_3455,plain,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_conjecture_2,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_3456,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
cnf(c_15024,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolve,[status(thm)],[c_3454,c_3452]) ).
cnf(c_15025,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(resolve,[status(thm)],[c_3455,c_15024]) ).
cnf(c_15023,plain,
$false,
inference(resolve,[status(thm)],[c_3456,c_15025]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV320-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n016.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 13:36:45 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.45 % Process 986965 was started by sandbox on n016,
% 0.19/0.45 % Sat Sep 26 13:36:45 2026
% 0.19/0.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.22/0.59
% 0.22/0.59 % From the command line: assign(max_seconds, 300).
% 46.38/7.36
% 46.38/7.36 % given #500 (I,wt=9): 749 -class_OrderedGroup_Ocomm__monoid__mult(A) | class_OrderedGroup_Osemigroup__mult(A) # tptp_name(clsrel_OrderedGroup_Ocomm__monoid__mult_2) # clausal_fof(1). [assumption].
% 46.38/7.36
% 46.38/7.36 % given #1000 (I,wt=9): 1249 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Opordered__semiring(A) # tptp_name(clsrel_Ring__and__Field_Oordered__semidom_36) # clausal_fof(1). [assumption].
% 46.38/7.36
% 46.38/7.36 % given #1500 (I,wt=24): 1842 c_Divides_Oop_Amod(c_times(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) = c_0 # tptp_name(cls_IntDiv_Ozmod__zmult__self2_0) # clausal_fof(1). [assumption].
% 46.38/7.36
% 46.38/7.36 % given #2000 (I,wt=12): 2457 -c_less(A,c_1,tc_nat) | c_0 = A. [copy(2456),flip(b)].
% 46.38/7.36
% 46.38/7.36 % given #2500 (I,wt=22): 3054 c_minus(A,c_UNIV,tc_set(B)) = c_emptyset # tptp_name(cls_Set_ODiff__UNIV_0) # clausal_fof(1). [assumption].
% 46.38/7.36
% 46.38/7.36 % SZS status Unsatisfiable for theBenchmark
% 46.38/7.36
% 46.38/7.36 % Proof 1 at 6.08 (+ 0.48) seconds.
% 46.38/7.36 % Length of proof is 5.
% 46.38/7.36 % Level of proof is 1.
% 46.38/7.36 % Maximum clause weight is 33.000.
% 46.38/7.36 % Given clauses 2813.
% 46.38/7.36
% 46.38/7.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------