%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR059+1 : TPTP v9.3.1. Released v3.4.0.
% 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 07:06:59 AM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 5 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just2,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('theBenchmark.p',just2) ).
fof(just29,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('theBenchmark.p',just29) ).
fof(just31,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',just31) ).
fof(query59,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('theBenchmark.p',query59) ).
fof(query59_neg,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(assume_negation,[status(cth)],[query59]) ).
cnf(c_54,negated_conjecture,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(clausify,[status(thm)],[query59_neg]) ).
cnf(c_55,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(clausify,[status(thm)],[query59_neg]) ).
cnf(c_58,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[just31]) ).
cnf(c_60,plain,
( borderson(B,A)
| ~ borderson(A,B) ),
inference(clausify,[status(thm)],[just29]) ).
cnf(c_68,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(clausify,[status(thm)],[just2]) ).
fof(just1,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('theBenchmark.p',just1) ).
cnf(c_69,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(clausify,[status(thm)],[just1]) ).
cnf(c_70,plain,
~ borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
inference(resolve,[status(thm)],[c_60,c_54]) ).
cnf(c_71,plain,
~ mtvisible(c_tptpgeo_member5_mt),
inference(resolve,[status(thm)],[c_70,c_68]) ).
cnf(c_73,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_58,c_55]) ).
cnf(c_74,negated_conjecture,
mtvisible(c_tptpgeo_member5_mt),
inference(resolve,[status(thm)],[c_73,c_69]) ).
cnf(c_72,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_71,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR059+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 00:21:50 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 1989225 was started by sandbox2 on n017,
% 0.11/0.38 % Sun Sep 27 00:21:50 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/0.39
% 0.11/0.39 % From the command line: assign(max_seconds, 300).
% 0.11/0.40
% 0.11/0.40 % SZS status Theorem for theBenchmark
% 0.11/0.40
% 0.11/0.40 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.11/0.40 % Length of proof is 13.
% 0.11/0.40 % Level of proof is 4.
% 0.11/0.40 % Maximum clause weight is 7.000.
% 0.11/0.40 % Given clauses 19.
% 0.11/0.40
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------