%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV279-2 : 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 : n026.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 09:07:15 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 27 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 47 ( 8 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Set_OsubsetD_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,VAR_3,VAR_2)
| ~ c_lessequals(VAR_1,VAR_3,tc_set(VAR_2))
| ~ c_in(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(c_1,plain,
( c_in(A,D,C)
| ~ c_lessequals(B,D,tc_set(C))
| ~ c_in(A,B,C) ),
inference(clausify,[status(thm)],[cls_Set_OsubsetD_0]) ).
fof(cls_Public_Oused__parts__subset__parts_0,axiom,
! [VAR_0,VAR_1] :
( c_lessequals(c_Message_Oparts(c_insert(VAR_0,c_emptyset,tc_Message_Omsg)),c_Event_Oused(VAR_1),tc_set(tc_Message_Omsg))
| ~ c_in(VAR_0,c_Event_Oused(VAR_1),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Public_Oused__parts__subset__parts_0) ).
cnf(c_2,plain,
( c_lessequals(c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),c_Event_Oused(B),tc_set(tc_Message_Omsg))
| ~ c_in(A,c_Event_Oused(B),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Public_Oused__parts__subset__parts_0]) ).
cnf(c_3,plain,
( ~ c_in(B,c_Event_Oused(C),tc_Message_Omsg)
| c_in(A,c_Event_Oused(C),tc_Message_Omsg)
| ~ c_in(A,c_Message_Oparts(c_insert(B,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(cls_Set_Oinsert__iff_1,axiom,
! [VAR_0,VAR_1,VAR_2] : c_in(VAR_0,c_insert(VAR_0,VAR_1,VAR_2),VAR_2),
file('theBenchmark.p',cls_Set_Oinsert__iff_1) ).
cnf(c_4,plain,
c_in(A,c_insert(A,B,C),C),
inference(clausify,[status(thm)],[cls_Set_Oinsert__iff_1]) ).
fof(cls_Message_Oparts_OInj_0,axiom,
! [VAR_0,VAR_1] :
( c_in(VAR_0,c_Message_Oparts(VAR_1),tc_Message_Omsg)
| ~ c_in(VAR_0,VAR_1,tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_Oparts_OInj_0) ).
cnf(c_5,plain,
( c_in(A,c_Message_Oparts(B),tc_Message_Omsg)
| ~ c_in(A,B,tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_Oparts_OInj_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_6,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_OMPair__parts_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_OMPair(VAR_0,VAR_1),c_Message_Oparts(VAR_2),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_OMPair__parts_0) ).
cnf(c_7,plain,
( c_in(B,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_0]) ).
fof(cls_conjecture_1,axiom,
( ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_8,plain,
( ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_conjecture_0,axiom,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_9,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
cnf(c_10,plain,
c_in(A,c_Message_Oparts(c_insert(A,B,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_5,c_4]) ).
cnf(c_11,plain,
( ~ c_in(A,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_8,c_3]) ).
cnf(c_16,plain,
c_in(A,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(B,A),C,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_7,c_10]) ).
cnf(c_17,plain,
c_in(A,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_6,c_10]) ).
cnf(c_31,plain,
( ~ c_in(v_Y,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_11,c_9]) ).
cnf(c_23,plain,
~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_16,c_31]) ).
cnf(c_32,plain,
( ~ c_in(A,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_insert(A,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_3,c_23]) ).
cnf(c_33,plain,
~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_32,c_9]) ).
cnf(c_30,plain,
$false,
inference(resolve,[status(thm)],[c_17,c_33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV279-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 13:29:27 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 1098996 was started by sandbox on n026,
% 0.08/0.36 % Sat Sep 26 13:29:27 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.37
% 0.08/0.37 % From the command line: assign(max_seconds, 300).
% 0.08/0.39
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.39
% 0.08/0.39 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.08/0.39 % Length of proof is 15.
% 0.08/0.39 % Level of proof is 4.
% 0.08/0.39 % Maximum clause weight is 33.000.
% 0.08/0.39 % Given clauses 11.
% 0.08/0.39
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------