%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV341-1 : 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 : n004.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 99.22s 14.15s
% Output : CNFRefutation 99.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_8,axiom,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_8) ).
cnf(c_887,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_8]) ).
fof(cls_conjecture_1,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_894,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_Message_Oanalz__conj__parts_0,axiom,
! [VAR_0,VAR_1] :
( c_in(VAR_0,c_Message_Oparts(VAR_1),tc_Message_Omsg)
| ~ c_in(VAR_0,c_Message_Oanalz(VAR_1),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).
cnf(c_1007,plain,
( c_in(A,c_Message_Oparts(B),tc_Message_Omsg)
| ~ c_in(A,c_Message_Oanalz(B),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_Oanalz__conj__parts_0]) ).
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_1085,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]) ).
cnf(c_4503,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_1007,c_887]) ).
cnf(c_16206,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_4503,c_1085]) ).
cnf(c_16205,plain,
$false,
inference(resolve,[status(thm)],[c_894,c_16206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV341-1 : 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 : n004.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 13:34:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 1834817 was started by sandbox2 on n004,
% 0.10/0.37 % Sat Sep 26 13:34:06 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.41
% 0.10/0.41 % From the command line: assign(max_seconds, 300).
% 99.22/14.15
% 99.22/14.15 % given #500 (I,wt=14): 1071 c_Nat_Osize(c_Event_Oevent_OSays(A,B,C),tc_Event_Oevent) = c_0 # tptp_name(cls_Event_Oevent_Osize__1_0) # clausal_fof(1). [assumption].
% 99.22/14.15
% 99.22/14.15 % given #1000 (I,wt=16): 1683 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_0,B,A) | c_less(c_uminus(B,A),c_0,A) # tptp_name(cls_OrderedGroup_Oneg__less__0__iff__less_1) # clausal_fof(1). [assumption].
% 99.22/14.15
% 99.22/14.15 % given #1500 (I,wt=9): 2295 c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) = c_0 # tptp_name(cls_List_Onibble_Osize__1_0) # clausal_fof(1). [assumption].
% 99.22/14.15
% 99.22/14.15 % given #2000 (I,wt=6): 2925 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Osemigroup__add(A) # tptp_name(clsrel_Ring__and__Field_Osemiring__1__cancel_7) # clausal_fof(1). [assumption].
% 99.22/14.15
% 99.22/14.15 % given #2500 (I,wt=4): 3425 class_Ring__and__Field_Oring__1(tc_IntDef_Oint) # tptp_name(clsarity_IntDef__Oint_28) # clausal_fof(1). [assumption].
% 99.22/14.15
% 99.22/14.15 % given #3000 (I,wt=18): 3951 -class_Ring__and__Field_Oordered__idom(A) | -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | c_uminus(c_1,A) = B. [copy(3950),flip(d)].
% 99.22/14.15
% 99.22/14.15 % given #3500 (F,wt=11): 12245 -c_less(c_IntDef_Oint(A),c_HOL_Oabs(c_0,tc_IntDef_Oint),tc_IntDef_Oint). [para(7689(a,1),7560(a,2))].
% 99.22/14.15
% 99.22/14.15 % SZS status Unsatisfiable for theBenchmark
% 99.22/14.15
% 99.22/14.15 % Proof 1 at 5.11 (+ 0.37) seconds.
% 99.22/14.15 % Length of proof is 6.
% 99.22/14.15 % Level of proof is 2.
% 99.22/14.15 % Maximum clause weight is 18.000.
% 99.22/14.15 % Given clauses 3843.
% 99.22/14.15
% 99.22/14.15 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------