%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV259-2 : 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 : n017.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 09:07:10 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 3 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_1,axiom,
~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_1,plain,
~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_Message_Oparts__subset__iff_0,axiom,
! [VAR_0,VAR_1] :
( c_lessequals(VAR_0,c_Message_Oparts(VAR_1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(VAR_0),c_Message_Oparts(VAR_1),tc_set(tc_Message_Omsg)) ),
file('theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).
cnf(c_2,plain,
( c_lessequals(A,c_Message_Oparts(B),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(A),c_Message_Oparts(B),tc_set(tc_Message_Omsg)) ),
inference(clausify,[status(thm)],[cls_Message_Oparts__subset__iff_0]) ).
fof(cls_Message_Oparts__subset__iff_1,axiom,
! [VAR_0,VAR_1] :
( c_lessequals(c_Message_Oparts(VAR_0),c_Message_Oparts(VAR_1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(VAR_0,c_Message_Oparts(VAR_1),tc_set(tc_Message_Omsg)) ),
file('theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).
cnf(c_3,plain,
( c_lessequals(c_Message_Oparts(A),c_Message_Oparts(B),tc_set(tc_Message_Omsg))
| ~ c_lessequals(A,c_Message_Oparts(B),tc_set(tc_Message_Omsg)) ),
inference(clausify,[status(thm)],[cls_Message_Oparts__subset__iff_1]) ).
fof(cls_Set_Oinsert__subset_1,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_lessequals(VAR_1,VAR_3,tc_set(VAR_2))
| ~ c_lessequals(c_insert(VAR_0,VAR_1,VAR_2),VAR_3,tc_set(VAR_2)) ),
file('theBenchmark.p',cls_Set_Oinsert__subset_1) ).
cnf(c_4,plain,
( c_lessequals(B,D,tc_set(C))
| ~ c_lessequals(c_insert(A,B,C),D,tc_set(C)) ),
inference(clausify,[status(thm)],[cls_Set_Oinsert__subset_1]) ).
fof(cls_Set_Osubset__refl_0,axiom,
! [VAR_0,VAR_1] : c_lessequals(VAR_0,VAR_0,tc_set(VAR_1)),
file('theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(c_5,plain,
c_lessequals(A,A,tc_set(B)),
inference(clausify,[status(thm)],[cls_Set_Osubset__refl_0]) ).
cnf(c_7,plain,
~ c_lessequals(v_H,c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolve,[status(thm)],[c_3,c_1]) ).
cnf(c_11,plain,
c_lessequals(A,c_Message_Oparts(A),tc_set(tc_Message_Omsg)),
inference(resolve,[status(thm)],[c_2,c_5]) ).
cnf(c_14,plain,
~ c_lessequals(c_insert(A,v_H,tc_Message_Omsg),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolve,[status(thm)],[c_7,c_4]) ).
cnf(c_15,plain,
$false,
inference(resolve,[status(thm)],[c_14,c_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV259-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n017.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 13:19:18 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.44 % Process 806384 was started by sandbox2 on n017,
% 0.19/0.44 % Sat Sep 26 13:19:18 2026
% 0.19/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.19/0.45
% 0.19/0.45 % From the command line: assign(max_seconds, 300).
% 0.19/0.46
% 0.19/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.46
% 0.19/0.46 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.19/0.46 % Length of proof is 9.
% 0.19/0.46 % Level of proof is 3.
% 0.19/0.46 % Maximum clause weight is 13.000.
% 0.19/0.46 % Given clauses 7.
% 0.19/0.46
% 0.19/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------