%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR048+4 : 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 : n026.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 07:06:51 AM UTC 2026
% Result : Theorem 0.99s 0.81s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 4 =>; 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 : 7 ( 1 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax3_6736,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
file('theBenchmark.p',ax3_6736) ).
fof(ax3_44208,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax3_44208) ).
fof(query198,conjecture,
? [ARG2] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,ARG2) ),
file('theBenchmark.p',query198) ).
fof(query198_neg,negated_conjecture,
~ ? [ARG2] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,ARG2) ),
inference(assume_negation,[status(cth)],[query198]) ).
fof(ax3_4063,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
file('theBenchmark.p',ax3_4063) ).
cnf(c_35,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
inference(clausify,[status(thm)],[ax3_4063]) ).
cnf(c_37,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(clausify,[status(thm)],[ax3_6736]) ).
cnf(c_55,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax3_44208]) ).
cnf(c_57,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(clausify,[status(thm)],[query198_neg]) ).
cnf(c_58,negated_conjecture,
~ borderson(c_georegion_l4_x45_y9,A),
inference(clausify,[status(thm)],[query198_neg]) ).
cnf(c_59,negated_conjecture,
~ mtvisible(c_tptpgeo_member1_mt),
inference(resolve,[status(thm)],[c_58,c_37]) ).
cnf(c_64,plain,
( mtvisible(c_tptpgeo_member1_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(resolve,[status(thm)],[c_55,c_35]) ).
cnf(c_65,negated_conjecture,
mtvisible(c_tptpgeo_member1_mt),
inference(resolve,[status(thm)],[c_57,c_64]) ).
cnf(c_63,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_59,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR048+4 : 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 : n026.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
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 00:19:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 2258818 was started by sandbox2 on n026,
% 0.11/0.38 % Sun Sep 27 00:19:25 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.99/0.81
% 0.99/0.81 % SInE (scan): 44 to sos (tol 1.5x), 4 to usable (tol 2.0x), 44168 zapped, of 44216 axioms (depth 3).
% 0.99/0.81
% 0.99/0.81 % From the command line: assign(max_seconds, 300).
% 0.99/0.81
% 0.99/0.81 % SZS status Theorem for theBenchmark
% 0.99/0.81
% 0.99/0.81 % Proof 1 at 0.04 (+ 0.04) seconds.
% 0.99/0.81 % Length of proof is 10.
% 0.99/0.81 % Level of proof is 3.
% 0.99/0.81 % Maximum clause weight is 12.000.
% 0.99/0.81 % Given clauses 17.
% 0.99/0.81
% 0.99/0.81 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------