%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV246-2 : 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 : n015.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 0.23s 0.52s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 12 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 43 ( 6 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_1,axiom,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_1,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_conjecture_2,axiom,
~ c_in(v_Y,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_2,plain,
~ c_in(v_Y,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
fof(cls_Message_OMPair__analz_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_in(VAR_1,c_Message_Oanalz(VAR_2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(VAR_0,VAR_1),c_Message_Oanalz(VAR_2),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_OMPair__analz_0) ).
cnf(c_3,plain,
( c_in(B,c_Message_Oanalz(C),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_OMPair__analz_0]) ).
fof(cls_Message_OMPair__synth_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_in(c_Message_Omsg_OMPair(VAR_0,VAR_1),VAR_2,tc_Message_Omsg)
| c_in(VAR_1,c_Message_Osynth(VAR_2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(VAR_0,VAR_1),c_Message_Osynth(VAR_2),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_OMPair__synth_0) ).
cnf(c_4,plain,
( c_in(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg)
| c_in(B,c_Message_Osynth(C),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(C),tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_OMPair__synth_0]) ).
fof(cls_Message_Oanalz_OInj_0,axiom,
! [VAR_0,VAR_1] :
( c_in(VAR_0,c_Message_Oanalz(VAR_1),tc_Message_Omsg)
| ~ c_in(VAR_0,VAR_1,tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
cnf(c_5,plain,
( c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)
| ~ c_in(A,B,tc_Message_Omsg) ),
inference(clausify,[status(thm)],[cls_Message_Oanalz_OInj_0]) ).
fof(cls_Set_OUnCI_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,c_union(VAR_3,VAR_1,VAR_2),VAR_2)
| ~ c_in(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_Set_OUnCI_0) ).
cnf(c_6,plain,
( c_in(A,c_union(D,B,C),C)
| ~ c_in(A,B,C) ),
inference(clausify,[status(thm)],[cls_Set_OUnCI_0]) ).
fof(cls_Set_OUnCI_1,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,c_union(VAR_1,VAR_3,VAR_2),VAR_2)
| ~ c_in(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_Set_OUnCI_1) ).
cnf(c_7,plain,
( c_in(A,c_union(B,D,C),C)
| ~ c_in(A,B,C) ),
inference(clausify,[status(thm)],[cls_Set_OUnCI_1]) ).
fof(cls_Set_OUnE_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,VAR_1,VAR_3)
| c_in(VAR_0,VAR_2,VAR_3)
| ~ c_in(VAR_0,c_union(VAR_1,VAR_2,VAR_3),VAR_3) ),
file('theBenchmark.p',cls_Set_OUnE_0) ).
cnf(c_8,plain,
( c_in(A,B,D)
| c_in(A,C,D)
| ~ c_in(A,c_union(B,C,D),D) ),
inference(clausify,[status(thm)],[cls_Set_OUnE_0]) ).
cnf(c_12,plain,
~ c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_6,c_2]) ).
cnf(c_14,plain,
~ c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_7,c_2]) ).
cnf(c_15,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_8,c_1]) ).
cnf(c_32,plain,
~ c_in(c_Message_Omsg_OMPair(A,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_3,c_14]) ).
cnf(c_33,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_32,c_15]) ).
cnf(c_219,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_33,c_4]) ).
cnf(c_65,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg),
inference(resolve,[status(thm)],[c_12,c_219]) ).
cnf(c_66,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,A,tc_Message_Omsg),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_65,c_7]) ).
cnf(c_217,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,A,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_66,c_5]) ).
cnf(c_218,plain,
$false,
inference(resolve,[status(thm)],[c_217,c_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV246-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n015.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
% 0.19/0.45 % DateTime : Sat Sep 26 13:25:43 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.45 % Process 4177176 was started by sandbox on n015,
% 0.19/0.45 % Sat Sep 26 13:25:43 2026
% 0.19/0.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.19/0.46
% 0.19/0.46 % From the command line: assign(max_seconds, 300).
% 0.23/0.52
% 0.23/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.52
% 0.23/0.52 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.23/0.52 % Length of proof is 17.
% 0.23/0.52 % Level of proof is 7.
% 0.23/0.52 % Maximum clause weight is 34.000.
% 0.23/0.52 % Given clauses 30.
% 0.23/0.52
% 0.23/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------