%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV263-1 : 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 : n014.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 09:07:11 AM UTC 2026
% Result : Unsatisfiable 20.99s 18.14s
% Output : CNFRefutation 20.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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_1186,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_conjecture_0,axiom,
c_lessequals(v_G,v_H,tc_set(tc_Message_Omsg)),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_1188,plain,
c_lessequals(v_G,v_H,tc_set(tc_Message_Omsg)),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_1,axiom,
c_in(v_X,v_G,tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_1189,plain,
c_in(v_X,v_G,tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_conjecture_2,axiom,
~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_1190,plain,
~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
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_1705,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]) ).
cnf(c_2168,plain,
( c_in(A,v_H,tc_Message_Omsg)
| ~ c_in(A,v_G,tc_Message_Omsg) ),
inference(resolve,[status(thm)],[c_1705,c_1188]) ).
cnf(c_2947,plain,
c_in(v_X,v_H,tc_Message_Omsg),
inference(resolve,[status(thm)],[c_2168,c_1189]) ).
cnf(c_2965,plain,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(resolve,[status(thm)],[c_2947,c_1186]) ).
cnf(c_2964,plain,
$false,
inference(resolve,[status(thm)],[c_1190,c_2965]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV263-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/15.39 % Computer : n014.cluster.edu
% 0.11/15.39 % Model : x86_64 x86_64
% 0.11/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.39 % Memory : 8046.5625MB
% 0.11/15.39 % OS : Linux 6.8.0-71-generic
% 0.11/15.39 % CPULimit : 300
% 0.11/15.39 % WCLimit : 300
% 0.11/15.39 % DateTime : Sat Sep 26 13:24:32 UTC 2026
% 0.11/15.39 % CPUTime :
% 0.11/15.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/15.40 % Process 3252827 was started by sandbox2 on n014,
% 0.11/15.40 % Sat Sep 26 13:24:32 2026
% 0.11/15.40 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/15.43
% 0.15/15.43 % From the command line: assign(max_seconds, 300).
% 20.99/18.14
% 20.99/18.14 % given #500 (I,wt=24): 1716 c_in(A,c_Inter(B,C),C) | c_in(c_Main_OInterI__1(A,B,C),B,tc_set(C)) # tptp_name(cls_Set_OInterI_0) # clausal_fof(1). [assumption].
% 20.99/18.14
% 20.99/18.14 % SZS status Unsatisfiable for theBenchmark
% 20.99/18.14
% 20.99/18.14 % Proof 1 at 2.61 (+ 0.08) seconds.
% 20.99/18.14 % Length of proof is 8.
% 20.99/18.14 % Level of proof is 3.
% 20.99/18.14 % Maximum clause weight is 23.000.
% 20.99/18.14 % Given clauses 680.
% 20.99/18.14
% 20.99/18.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------