%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR048+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 0.14s 5.93s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% 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 : 8 ( 1 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_207,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
file('theBenchmark.p',ax1_207) ).
fof(ax1_1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax1_1123) ).
fof(query98,conjecture,
? [ARG2] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,ARG2) ),
file('theBenchmark.p',query98) ).
fof(query98_neg,negated_conjecture,
~ ? [ARG2] :
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x45_y9,ARG2) ),
inference(assume_negation,[status(cth)],[query98]) ).
fof(ax1_140,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
file('theBenchmark.p',ax1_140) ).
cnf(c_1323,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
inference(clausify,[status(thm)],[ax1_140]) ).
cnf(c_1368,plain,
( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10)
| ~ mtvisible(c_tptpgeo_member1_mt) ),
inference(clausify,[status(thm)],[ax1_207]) ).
cnf(c_1957,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax1_1123]) ).
cnf(c_1962,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(clausify,[status(thm)],[query98_neg]) ).
cnf(c_1963,negated_conjecture,
~ borderson(c_georegion_l4_x45_y9,A),
inference(clausify,[status(thm)],[query98_neg]) ).
cnf(c_1964,negated_conjecture,
~ mtvisible(c_tptpgeo_member1_mt),
inference(resolve,[status(thm)],[c_1963,c_1368]) ).
cnf(c_1983,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptpgeo_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_1957,c_1962]) ).
cnf(c_1984,negated_conjecture,
mtvisible(c_tptpgeo_member1_mt),
inference(resolve,[status(thm)],[c_1983,c_1323]) ).
cnf(c_1982,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1964,c_1984]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR048+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n009.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sun Sep 27 00:17:05 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.38 % Process 1462228 was started by sandbox on n009,
% 0.10/5.38 % Sun Sep 27 00:17:05 2026
% 0.10/5.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/5.55
% 0.14/5.55 % From the command line: assign(max_seconds, 300).
% 0.14/5.55
% 0.14/5.55 % SInE: 749 to sos, 382 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.14/5.93
% 0.14/5.93 % SZS status Theorem for theBenchmark
% 0.14/5.93
% 0.14/5.93 % Proof 1 at 0.22 (+ 0.03) seconds.
% 0.14/5.93 % Length of proof is 10.
% 0.14/5.93 % Level of proof is 3.
% 0.14/5.93 % Maximum clause weight is 9.000.
% 0.14/5.93 % Given clauses 21.
% 0.14/5.93
% 0.14/5.93 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------