%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV295-1 : 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 : n007.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 09:07:18 AM UTC 2026
% Result : Unsatisfiable 52.32s 8.13s
% Output : CNFRefutation 52.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 17 unt; 0 def)
% Number of atoms : 29 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
! [VAR_0,VAR_1] :
( c_in(VAR_0,c_Event_Oused(VAR_1),tc_Message_Omsg)
| ~ c_in(VAR_0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,VAR_1)),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
cnf(c_1790,plain,
( c_in(A,c_Event_Oused(B),tc_Message_Omsg)
| ~ c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0]) ).
fof(cls_Message_OMPair__parts_1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_in(VAR_0,c_Message_Oparts(VAR_2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(VAR_0,VAR_1),c_Message_Oparts(VAR_2),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_OMPair__parts_1) ).
cnf(c_1843,plain,
( c_in(A,c_Message_Oparts(C),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_OMPair__parts_1]) ).
fof(cls_Message_Oparts_OBody__dest_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_in(VAR_1,c_Message_Oparts(VAR_2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(VAR_0,VAR_1),c_Message_Oparts(VAR_2),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
cnf(c_1883,plain,
( c_in(B,c_Message_Oparts(C),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(C),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_Oparts_OBody__dest_0]) ).
fof(cls_conjecture_10,axiom,
v_A = v_Aa,
file('theBenchmark.p',cls_conjecture_10) ).
cnf(c_1920,plain,
v_A = v_Aa,
inference(clausify,[status(thm)],[cls_conjecture_10]) ).
cnf(c_1921,plain,
v_Aa = v_A,
inference(copy,[status(thm)],[c_1920]) ).
fof(cls_conjecture_12,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_12) ).
cnf(c_1924,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_12]) ).
cnf(c_1925,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_1921,c_1924]) ).
fof(cls_conjecture_2,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_1929,plain,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
fof(cls_conjecture_5,axiom,
v_NA = c_Message_Omsg_ONonce(v_NAa),
file('theBenchmark.p',cls_conjecture_5) ).
cnf(c_1932,plain,
v_NA = c_Message_Omsg_ONonce(v_NAa),
inference(clausify,[status(thm)],[cls_conjecture_5]) ).
cnf(c_1933,plain,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(copy,[status(thm)],[c_1932]) ).
cnf(c_1990,plain,
~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_1933,c_1929]) ).
cnf(c_1992,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_1933,c_1925]) ).
cnf(c_3283,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_1992,c_1883]) ).
cnf(c_20791,plain,
c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_3283,c_1843]) ).
cnf(c_20799,plain,
c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_20791,c_1790]) ).
cnf(c_20798,plain,
$false,
inference(resolve,[status(thm)],[c_1990,c_20799]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV295-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 13:26:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 3838271 was started by sandbox2 on n007,
% 0.10/0.38 % Sat Sep 26 13:26:54 2026
% 0.10/0.38 % 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).
% 52.32/8.13
% 52.32/8.13 % given #500 (I,wt=9): 1490 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Olordered__ab__group__abs(A) # tptp_name(clsrel_Ring__and__Field_Olordered__ring_24) # clausal_fof(1). [assumption].
% 52.32/8.13
% 52.32/8.13 % given #1000 (T,wt=16): 2500 c_in(A,c_SetInterval_OatLeast(c_0,tc_nat),tc_nat). [resolve(1732,b,1348,a),unit_del(a,1043)].
% 52.32/8.13
% 52.32/8.13 % given #1500 (F,wt=37): 5207 -c_in(A,c_minus(B,c_Pow(A,C),tc_set(tc_set(C))),tc_set(C)). [resolve(2720,a,1744,a)].
% 52.32/8.13
% 52.32/8.13 % given #2000 (T,wt=22): 13518 class_Finite__Set_Ofinite(tc_prod(tc_Datatype_Ooption(tc_Product__Type_Ounit),tc_fun(tc_bool,tc_Product__Type_Ounit))). [resolve(3377,b,3883,a)].
% 52.32/8.13
% 52.32/8.13 % given #2500 (A,wt=43): 2445 c_List_Olist_OCons(A,B,C) != c_List_Olist_OCons(D,E,C) | c_append(c_List_Orev(E,C),c_List_Olist_OCons(D,c_List_Olist_ONil,C),C) = c_append(c_List_Orev(B,C),c_List_Olist_OCons(A,c_List_Olist_ONil,C),C). [para(1679(a,1),1678(a,1))].
% 52.32/8.13
% 52.32/8.13 % given #3000 (T,wt=23): 20023 class_Finite__Set_Ofinite(tc_prod(tc_sum(tc_bool,tc_Product__Type_Ounit),tc_fun(tc_bool,tc_Product__Type_Ounit))). [resolve(3893,b,4217,a)].
% 52.32/8.13
% 52.32/8.13 % SZS status Unsatisfiable for theBenchmark
% 52.32/8.13
% 52.32/8.13 % Proof 1 at 5.73 (+ 1.55) seconds.
% 52.32/8.13 % Length of proof is 15.
% 52.32/8.13 % Level of proof is 6.
% 52.32/8.13 % Maximum clause weight is 34.000.
% 52.32/8.13 % Given clauses 3429.
% 52.32/8.13
% 52.32/8.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------