%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR057+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 07:06:58 AM UTC 2026
% Result : Theorem 222.96s 171.27s
% Output : CNFRefutation 222.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 3 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax5_114691,axiom,
( mtvisible(c_tptpgeo_member8_mt)
=> borderson(c_georegion_l4_x75_y74,c_georegion_l4_x75_y75) ),
file('theBenchmark.p',ax5_114691) ).
fof(ax5_197843,axiom,
! [ARG1,ARG2] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('theBenchmark.p',ax5_197843) ).
fof(ax5_426245,axiom,
! [ARG1,ARG2] :
( borderson(ARG1,ARG2)
=> geographicalregion(ARG2) ),
file('theBenchmark.p',ax5_426245) ).
fof(ax5_3337976,axiom,
! [X] :
( geographicalregion(X)
=> geographicalsubregions(X,X) ),
file('theBenchmark.p',ax5_3337976) ).
fof(query307,conjecture,
? [X] :
( mtvisible(c_tptpgeo_member8_mt)
=> inregion(X,c_georegion_l4_x75_y75) ),
file('theBenchmark.p',query307) ).
fof(query307_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_tptpgeo_member8_mt)
=> inregion(X,c_georegion_l4_x75_y75) ),
inference(assume_negation,[status(cth)],[query307]) ).
cnf(c_304,plain,
( borderson(c_georegion_l4_x75_y74,c_georegion_l4_x75_y75)
| ~ mtvisible(c_tptpgeo_member8_mt) ),
inference(clausify,[status(thm)],[ax5_114691]) ).
cnf(c_307,plain,
( inregion(B,A)
| ~ geographicalsubregions(A,B) ),
inference(clausify,[status(thm)],[ax5_197843]) ).
cnf(c_315,plain,
( geographicalregion(B)
| ~ borderson(A,B) ),
inference(clausify,[status(thm)],[ax5_426245]) ).
cnf(c_374,plain,
( geographicalsubregions(A,A)
| ~ geographicalregion(A) ),
inference(clausify,[status(thm)],[ax5_3337976]) ).
cnf(c_381,negated_conjecture,
mtvisible(c_tptpgeo_member8_mt),
inference(clausify,[status(thm)],[query307_neg]) ).
cnf(c_382,negated_conjecture,
~ inregion(A,c_georegion_l4_x75_y75),
inference(clausify,[status(thm)],[query307_neg]) ).
cnf(c_404,negated_conjecture,
borderson(c_georegion_l4_x75_y74,c_georegion_l4_x75_y75),
inference(resolve,[status(thm)],[c_381,c_304]) ).
cnf(c_491,plain,
~ geographicalsubregions(c_georegion_l4_x75_y75,A),
inference(resolve,[status(thm)],[c_307,c_382]) ).
cnf(c_517,plain,
geographicalregion(c_georegion_l4_x75_y75),
inference(resolve,[status(thm)],[c_315,c_404]) ).
cnf(c_719,plain,
~ geographicalregion(c_georegion_l4_x75_y75),
inference(resolve,[status(thm)],[c_374,c_491]) ).
cnf(c_718,plain,
$false,
inference(resolve,[status(thm)],[c_517,c_719]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR057+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n005.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 27 00:24:02 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.37 % Process 3434135 was started by sandbox on n005,
% 0.08/0.37 % Sun Sep 27 00:24:02 2026
% 0.08/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 222.96/171.27
% 222.96/171.27 % SInE (scan): 192 to sos (tol 1.5x), 42 to usable (tol 2.0x), 3341743 zapped, of 3341977 axioms (depth 3).
% 222.96/171.27
% 222.96/171.27 % From the command line: assign(max_seconds, 300).
% 222.96/171.27
% 222.96/171.27 % SZS status Theorem for theBenchmark
% 222.96/171.27
% 222.96/171.27 % Proof 1 at 4.15 (+ 3.36) seconds.
% 222.96/171.27 % Length of proof is 15.
% 222.96/171.27 % Level of proof is 4.
% 222.96/171.27 % Maximum clause weight is 110.000.
% 222.96/171.27 % Given clauses 326.
% 222.96/171.27
% 222.96/171.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------