%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR042+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 : n016.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 07:06:46 AM UTC 2026
% Result : Theorem 2.52s 0.90s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 7 ( 1 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_122,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
file('theBenchmark.p',ax1_122) ).
fof(ax1_900,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('theBenchmark.p',ax1_900) ).
fof(query92,conjecture,
? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x27_y64) ),
file('theBenchmark.p',query92) ).
fof(query92_neg,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(assume_negation,[status(cth)],[query92]) ).
cnf(c_1315,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(clausify,[status(thm)],[ax1_122]) ).
cnf(c_1802,plain,
( borderson(B,A)
| ~ borderson(A,B) ),
inference(clausify,[status(thm)],[ax1_900]) ).
cnf(c_1962,negated_conjecture,
mtvisible(c_tptpgeo_member7_mt),
inference(clausify,[status(thm)],[query92_neg]) ).
cnf(c_1963,negated_conjecture,
~ borderson(A,c_georegion_l4_x27_y64),
inference(clausify,[status(thm)],[query92_neg]) ).
cnf(c_1967,negated_conjecture,
borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65),
inference(resolve,[status(thm)],[c_1962,c_1315]) ).
cnf(c_2062,plain,
borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64),
inference(resolve,[status(thm)],[c_1802,c_1967]) ).
cnf(c_2061,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1963,c_2062]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR042+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 00:16:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 2042467 was started by sandbox on n016,
% 0.10/0.37 % Sun Sep 27 00:16:46 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.23/0.54
% 0.23/0.54 % From the command line: assign(max_seconds, 300).
% 0.23/0.54
% 0.23/0.54 % SInE: 749 to sos, 382 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 2.52/0.90
% 2.52/0.90 % SZS status Theorem for theBenchmark
% 2.52/0.90
% 2.52/0.90 % Proof 1 at 0.25 (+ 0.04) seconds.
% 2.52/0.90 % Length of proof is 9.
% 2.52/0.90 % Level of proof is 3.
% 2.52/0.90 % Maximum clause weight is 11.000.
% 2.52/0.90 % Given clauses 60.
% 2.52/0.90
% 2.52/0.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------