%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR048+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 18.76s 14.18s
% Output : CNFRefutation 18.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% 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 : 15 ( 6 ~; 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 : 8 ( 1 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax4_540220,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax4_540220) ).
fof(ax4_234560,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
file('theBenchmark.p',ax4_234560) ).
fof(query248,conjecture,
? [ARG2] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,ARG2) ),
file('theBenchmark.p',query248) ).
fof(query248_neg,negated_conjecture,
~ ? [ARG2] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,ARG2) ),
inference(assume_negation,[status(cth)],[query248]) ).
cnf(c_40,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(clausify,[status(thm)],[ax4_234560]) ).
fof(ax4_45030,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
file('theBenchmark.p',ax4_45030) ).
cnf(c_59,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
inference(clausify,[status(thm)],[ax4_45030]) ).
cnf(c_86,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax4_540220]) ).
cnf(c_89,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(clausify,[status(thm)],[query248_neg]) ).
cnf(c_90,negated_conjecture,
~ borderson(c_georegion_l4_x45_y9,A),
inference(clausify,[status(thm)],[query248_neg]) ).
cnf(c_124,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_86,c_89]) ).
cnf(c_116,negated_conjecture,
mtvisible(c_tptpgeo_member1_mt),
inference(resolve,[status(thm)],[c_124,c_59]) ).
cnf(c_122,plain,
borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10),
inference(resolve,[status(thm)],[c_40,c_116]) ).
cnf(c_123,plain,
$false,
inference(resolve,[status(thm)],[c_122,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR048+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.39 % Computer : n002.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sun Sep 27 00:20:11 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/5.39 % Process 2987971 was started by sandbox on n002,
% 0.11/5.39 % Sun Sep 27 00:20:11 2026
% 0.11/5.39 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 18.76/14.18
% 18.76/14.18 % SInE (scan): 54 to sos (tol 1.5x), 6 to usable (tol 2.0x), 540189 zapped, of 540249 axioms (depth 3).
% 18.76/14.18
% 18.76/14.18 % From the command line: assign(max_seconds, 300).
% 18.76/14.18
% 18.76/14.18 % SZS status Theorem for theBenchmark
% 18.76/14.18
% 18.76/14.18 % Proof 1 at 0.77 (+ 0.73) seconds.
% 18.76/14.18 % Length of proof is 11.
% 18.76/14.18 % Level of proof is 4.
% 18.76/14.18 % Maximum clause weight is 107.000.
% 18.76/14.18 % Given clauses 61.
% 18.76/14.18
% 18.76/14.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------