%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : CSR067+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 : Thu Sep 24 08:32:32 AM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 7 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 15 ( 1 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just1,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
file('theBenchmark.p',just1) ).
fof(just28,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('theBenchmark.p',just28) ).
fof(query67,conjecture,
? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x29_y75) ),
file('theBenchmark.p',query67) ).
fof(f_1_1,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(fof_nnf,[status(thm)],[just1]) ).
cnf(f_1_2,plain,
( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(clausify,[status(thm)],[f_1_1]) ).
fof(f_28_1,plain,
! [X,Y] :
( borderson(Y,X)
| ~ borderson(X,Y) ),
inference(fof_nnf,[status(thm)],[just28]) ).
fof(f_28_2,plain,
! [U_57,U_56] :
( borderson(U_56,U_57)
| ~ borderson(U_57,U_56) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
( borderson(U_56,U_57)
| ~ borderson(U_57,U_56) ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_30_1,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x29_y75) ),
inference(negate,[status(cth)],[query67]) ).
fof(f_30_2,negated_conjecture,
! [ARG1] :
( ~ borderson(ARG1,c_georegion_l4_x29_y75)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(fof_nnf,[status(thm)],[f_30_1]) ).
fof(f_30_3,negated_conjecture,
! [U_59] :
( ~ borderson(U_59,c_georegion_l4_x29_y75)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(variable_rename,[status(thm)],[f_30_2]) ).
fof(f_30_4,negated_conjecture,
( ! [U_59] : ~ borderson(U_59,c_georegion_l4_x29_y75)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(miniscope,[status(thm)],[f_30_3]) ).
fof(f_30_5,negated_conjecture,
( ! [U_59] : ~ borderson(U_59,c_georegion_l4_x29_y75)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(definitional_conversion,[status(esa)],[f_30_4]) ).
cnf(f_30_6,negated_conjecture,
mtvisible(c_tptpgeo_member7_mt),
inference(clausify,[status(thm)],[f_30_5]) ).
cnf(f_30_7,negated_conjecture,
~ borderson(U_59,c_georegion_l4_x29_y75),
inference(clausify,[status(thm)],[f_30_5]) ).
cnf(t1,plain,
~ borderson(c_georegion_l4_x29_y76,c_georegion_l4_x29_y75),
inference(start,[status(thm),parent(0:0)],[f_30_7]) ).
cnf(t2,plain,
( ~ borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
| borderson(c_georegion_l4_x29_y76,c_georegion_l4_x29_y75) ),
inference(extension,[status(thm),parent(t1:1)],[f_28_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
inference(extension,[status(thm),parent(t2:2)],[f_1_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(extension,[status(thm),parent(t4:2)],[f_30_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR067+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 16:15:30 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------