%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV256-1 : 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 : n010.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 09:07:09 AM UTC 2026
% Result : Unsatisfiable 30.74s 5.11s
% Output : CNFRefutation 30.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
~ c_lessequals(c_Message_Oparts(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_515,plain,
~ c_lessequals(c_Message_Oparts(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(clausify,[status(thm)],[cls_conjecture_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_516,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_Message_Oanalz__subset__parts_0,axiom,
! [VAR_0] : c_lessequals(c_Message_Oanalz(VAR_0),c_Message_Oparts(VAR_0),tc_set(tc_Message_Omsg)),
file('theBenchmark.p',cls_Message_Oanalz__subset__parts_0) ).
cnf(c_538,plain,
c_lessequals(c_Message_Oanalz(A),c_Message_Oparts(A),tc_set(tc_Message_Omsg)),
inference(clausify,[status(thm)],[cls_Message_Oanalz__subset__parts_0]) ).
cnf(c_4006,plain,
c_lessequals(c_Message_Oparts(c_Message_Oanalz(A)),c_Message_Oparts(A),tc_set(tc_Message_Omsg)),
inference(resolve,[status(thm)],[c_538,c_516]) ).
cnf(c_4007,plain,
$false,
inference(resolve,[status(thm)],[c_4006,c_515]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV256-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.53 % Computer : n010.cluster.edu
% 0.09/0.53 % Model : x86_64 x86_64
% 0.09/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.53 % Memory : 8046.5625MB
% 0.09/0.53 % OS : Linux 6.8.0-71-generic
% 0.09/0.53 % CPULimit : 300
% 0.09/0.53 % WCLimit : 300
% 0.09/0.53 % DateTime : Sat Sep 26 13:23:46 UTC 2026
% 0.09/0.53 % CPUTime :
% 0.09/0.54 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.54 % Process 3427661 was started by sandbox on n010,
% 0.09/0.54 % Sat Sep 26 13:23:46 2026
% 0.09/0.54 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.61
% 0.13/0.61 % From the command line: assign(max_seconds, 300).
% 30.74/5.11
% 30.74/5.11 % SZS status Unsatisfiable for theBenchmark
% 30.74/5.11
% 30.74/5.11 % Proof 1 at 4.32 (+ 0.11) seconds.
% 30.74/5.11 % Length of proof is 5.
% 30.74/5.11 % Level of proof is 2.
% 30.74/5.11 % Maximum clause weight is 23.000.
% 30.74/5.11 % Given clauses 207.
% 30.74/5.11
% 30.74/5.11 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------