%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR067+2 : 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 07:07:04 AM UTC 2026
% Result : Theorem 3.36s 1.03s
% Output : CNFRefutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% 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 : 11 ( 5 ~; 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 : 8 ( 2 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_485,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
file('theBenchmark.p',ax1_485) ).
fof(ax1_900,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('theBenchmark.p',ax1_900) ).
fof(query117,conjecture,
? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x29_y75) ),
file('theBenchmark.p',query117) ).
fof(query117_neg,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x29_y75) ),
inference(assume_negation,[status(cth)],[query117]) ).
cnf(c_1543,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(clausify,[status(thm)],[ax1_485]) ).
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)],[query117_neg]) ).
cnf(c_1963,negated_conjecture,
~ borderson(A,c_georegion_l4_x29_y75),
inference(clausify,[status(thm)],[query117_neg]) ).
cnf(c_1964,negated_conjecture,
borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76),
inference(resolve,[status(thm)],[c_1962,c_1543]) ).
cnf(c_2017,plain,
~ borderson(c_georegion_l4_x29_y75,A),
inference(resolve,[status(thm)],[c_1802,c_1963]) ).
cnf(c_2018,plain,
$false,
inference(resolve,[status(thm)],[c_2017,c_1964]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR067+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 00:36:25 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 2295794 was started by sandbox2 on n026,
% 0.09/0.37 % Sun Sep 27 00:36:25 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.22/0.53
% 0.22/0.53 % From the command line: assign(max_seconds, 300).
% 0.22/0.53
% 0.22/0.53 % SInE: 749 to sos, 382 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 3.36/1.03
% 3.36/1.03 % SZS status Theorem for theBenchmark
% 3.36/1.03
% 3.36/1.03 % Proof 1 at 0.37 (+ 0.07) seconds.
% 3.36/1.03 % Length of proof is 10.
% 3.36/1.03 % Level of proof is 3.
% 3.36/1.03 % Maximum clause weight is 6.000.
% 3.36/1.03 % Given clauses 39.
% 3.36/1.03
% 3.36/1.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------