%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV243-2 : 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 : 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 09:07:07 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 12 ( 1 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
c_Message_Oanalz(c_Message_Osynth(v_H)) != c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_1,plain,
c_Message_Oanalz(c_Message_Osynth(v_H)) != c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
cnf(c_2,plain,
c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) != c_Message_Oanalz(c_Message_Osynth(v_H)),
inference(copy,[status(thm)],[c_1]) ).
fof(cls_Message_Oanalz__synth__Un_0,axiom,
! [VAR_0,VAR_1] : c_Message_Oanalz(c_union(c_Message_Osynth(VAR_0),VAR_1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(VAR_0,VAR_1,tc_Message_Omsg)),c_Message_Osynth(VAR_0),tc_Message_Omsg),
file('theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).
cnf(c_3,plain,
c_Message_Oanalz(c_union(c_Message_Osynth(A),B,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)),c_Message_Osynth(A),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_Message_Oanalz__synth__Un_0]) ).
cnf(c_4,plain,
c_union(c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)),c_Message_Osynth(A),tc_Message_Omsg) = c_Message_Oanalz(c_union(c_Message_Osynth(A),B,tc_Message_Omsg)),
inference(copy,[status(thm)],[c_3]) ).
fof(cls_Set_OUn__empty__right_0,axiom,
! [VAR_0,VAR_1] : c_union(VAR_0,c_emptyset,VAR_1) = VAR_0,
file('theBenchmark.p',cls_Set_OUn__empty__right_0) ).
cnf(c_5,plain,
c_union(A,c_emptyset,B) = A,
inference(clausify,[status(thm)],[cls_Set_OUn__empty__right_0]) ).
cnf(c_9,plain,
c_union(c_Message_Oanalz(A),c_Message_Osynth(A),tc_Message_Omsg) = c_Message_Oanalz(c_union(c_Message_Osynth(A),c_emptyset,tc_Message_Omsg)),
inference(paramod,[status(thm)],[c_5,c_4]) ).
cnf(c_7,plain,
c_union(c_Message_Oanalz(A),c_Message_Osynth(A),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(A)),
inference(paramod,[status(thm)],[c_5,c_9]) ).
cnf(c_8,plain,
$false,
inference(resolve,[status(thm)],[c_7,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV243-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 13:20:09 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.38 % Process 3831091 was started by sandbox2 on n007,
% 0.12/0.38 % Sat Sep 26 13:20:09 2026
% 0.12/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.38
% 0.12/0.38 % From the command line: assign(max_seconds, 300).
% 0.12/0.39
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.39
% 0.12/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.39 % Length of proof is 7.
% 0.12/0.39 % Level of proof is 3.
% 0.12/0.39 % Maximum clause weight is 16.000.
% 0.12/0.39 % Given clauses 3.
% 0.12/0.39
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------