%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PUZ015-2.006 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 08:54:18 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.42s
% Output : Proof 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(uncovered1_1_1,negated_conjecture,
~ horizontal_1_1,
file('theBenchmark.p',uncovered1_1_1) ).
cnf(uncovered2_1_1,negated_conjecture,
~ vertical_1_1,
file('theBenchmark.p',uncovered2_1_1) ).
cnf(uncovered3_6_6,negated_conjecture,
~ horizontal_6_5,
file('theBenchmark.p',uncovered3_6_6) ).
cnf(uncovered4_6_6,negated_conjecture,
~ vertical_5_6,
file('theBenchmark.p',uncovered4_6_6) ).
cnf(covered_1_2,negated_conjecture,
( horizontal_1_1
| vertical_1_2
| horizontal_1_2 ),
file('theBenchmark.p',covered_1_2) ).
cnf(covered_1_3,negated_conjecture,
( horizontal_1_2
| vertical_1_3
| horizontal_1_3 ),
file('theBenchmark.p',covered_1_3) ).
cnf(covered_1_4,negated_conjecture,
( horizontal_1_3
| vertical_1_4
| horizontal_1_4 ),
file('theBenchmark.p',covered_1_4) ).
cnf(covered_1_5,negated_conjecture,
( horizontal_1_4
| vertical_1_5
| horizontal_1_5 ),
file('theBenchmark.p',covered_1_5) ).
cnf(covered_1_6,negated_conjecture,
( horizontal_1_5
| vertical_1_6 ),
file('theBenchmark.p',covered_1_6) ).
cnf(covered_2_1,negated_conjecture,
( vertical_1_1
| vertical_2_1
| horizontal_2_1 ),
file('theBenchmark.p',covered_2_1) ).
cnf(covered_2_2,negated_conjecture,
( vertical_1_2
| horizontal_2_1
| vertical_2_2
| horizontal_2_2 ),
file('theBenchmark.p',covered_2_2) ).
cnf(covered_2_3,negated_conjecture,
( vertical_1_3
| horizontal_2_2
| vertical_2_3
| horizontal_2_3 ),
file('theBenchmark.p',covered_2_3) ).
cnf(covered_2_4,negated_conjecture,
( vertical_1_4
| horizontal_2_3
| vertical_2_4
| horizontal_2_4 ),
file('theBenchmark.p',covered_2_4) ).
cnf(covered_2_5,negated_conjecture,
( vertical_1_5
| horizontal_2_4
| vertical_2_5
| horizontal_2_5 ),
file('theBenchmark.p',covered_2_5) ).
cnf(covered_2_6,negated_conjecture,
( vertical_1_6
| horizontal_2_5
| vertical_2_6 ),
file('theBenchmark.p',covered_2_6) ).
cnf(covered_3_1,negated_conjecture,
( vertical_2_1
| vertical_3_1
| horizontal_3_1 ),
file('theBenchmark.p',covered_3_1) ).
cnf(covered_3_2,negated_conjecture,
( vertical_2_2
| horizontal_3_1
| vertical_3_2
| horizontal_3_2 ),
file('theBenchmark.p',covered_3_2) ).
cnf(covered_3_3,negated_conjecture,
( vertical_2_3
| horizontal_3_2
| vertical_3_3
| horizontal_3_3 ),
file('theBenchmark.p',covered_3_3) ).
cnf(covered_3_4,negated_conjecture,
( vertical_2_4
| horizontal_3_3
| vertical_3_4
| horizontal_3_4 ),
file('theBenchmark.p',covered_3_4) ).
cnf(covered_3_5,negated_conjecture,
( vertical_2_5
| horizontal_3_4
| vertical_3_5
| horizontal_3_5 ),
file('theBenchmark.p',covered_3_5) ).
cnf(covered_3_6,negated_conjecture,
( vertical_2_6
| horizontal_3_5
| vertical_3_6 ),
file('theBenchmark.p',covered_3_6) ).
cnf(covered_4_1,negated_conjecture,
( vertical_3_1
| vertical_4_1
| horizontal_4_1 ),
file('theBenchmark.p',covered_4_1) ).
cnf(covered_4_2,negated_conjecture,
( vertical_3_2
| horizontal_4_1
| vertical_4_2
| horizontal_4_2 ),
file('theBenchmark.p',covered_4_2) ).
cnf(covered_4_3,negated_conjecture,
( vertical_3_3
| horizontal_4_2
| vertical_4_3
| horizontal_4_3 ),
file('theBenchmark.p',covered_4_3) ).
cnf(covered_4_4,negated_conjecture,
( vertical_3_4
| horizontal_4_3
| vertical_4_4
| horizontal_4_4 ),
file('theBenchmark.p',covered_4_4) ).
cnf(covered_4_5,negated_conjecture,
( vertical_3_5
| horizontal_4_4
| vertical_4_5
| horizontal_4_5 ),
file('theBenchmark.p',covered_4_5) ).
cnf(covered_4_6,negated_conjecture,
( vertical_3_6
| horizontal_4_5
| vertical_4_6 ),
file('theBenchmark.p',covered_4_6) ).
cnf(covered_5_1,negated_conjecture,
( vertical_4_1
| vertical_5_1
| horizontal_5_1 ),
file('theBenchmark.p',covered_5_1) ).
cnf(covered_5_2,negated_conjecture,
( vertical_4_2
| horizontal_5_1
| vertical_5_2
| horizontal_5_2 ),
file('theBenchmark.p',covered_5_2) ).
cnf(covered_5_3,negated_conjecture,
( vertical_4_3
| horizontal_5_2
| vertical_5_3
| horizontal_5_3 ),
file('theBenchmark.p',covered_5_3) ).
cnf(covered_5_4,negated_conjecture,
( vertical_4_4
| horizontal_5_3
| vertical_5_4
| horizontal_5_4 ),
file('theBenchmark.p',covered_5_4) ).
cnf(covered_5_5,negated_conjecture,
( vertical_4_5
| horizontal_5_4
| vertical_5_5
| horizontal_5_5 ),
file('theBenchmark.p',covered_5_5) ).
cnf(covered_5_6,negated_conjecture,
( vertical_4_6
| horizontal_5_5
| vertical_5_6 ),
file('theBenchmark.p',covered_5_6) ).
cnf(covered_6_1,negated_conjecture,
( vertical_5_1
| horizontal_6_1 ),
file('theBenchmark.p',covered_6_1) ).
cnf(covered_6_2,negated_conjecture,
( vertical_5_2
| horizontal_6_1
| horizontal_6_2 ),
file('theBenchmark.p',covered_6_2) ).
cnf(covered_6_3,negated_conjecture,
( vertical_5_3
| horizontal_6_2
| horizontal_6_3 ),
file('theBenchmark.p',covered_6_3) ).
cnf(covered_6_4,negated_conjecture,
( vertical_5_4
| horizontal_6_3
| horizontal_6_4 ),
file('theBenchmark.p',covered_6_4) ).
cnf(covered_6_5,negated_conjecture,
( vertical_5_5
| horizontal_6_4
| horizontal_6_5 ),
file('theBenchmark.p',covered_6_5) ).
cnf(unique_cover1_1_2,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_1_2 ),
file('theBenchmark.p',unique_cover1_1_2) ).
cnf(unique_cover2_1_2,negated_conjecture,
( ~ horizontal_1_1
| ~ horizontal_1_2 ),
file('theBenchmark.p',unique_cover2_1_2) ).
cnf(unique_cover4_1_2,negated_conjecture,
( ~ horizontal_1_1
| ~ vertical_1_2 ),
file('theBenchmark.p',unique_cover4_1_2) ).
cnf(unique_cover1_1_3,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_1_3 ),
file('theBenchmark.p',unique_cover1_1_3) ).
cnf(unique_cover2_1_3,negated_conjecture,
( ~ horizontal_1_2
| ~ horizontal_1_3 ),
file('theBenchmark.p',unique_cover2_1_3) ).
cnf(unique_cover4_1_3,negated_conjecture,
( ~ horizontal_1_2
| ~ vertical_1_3 ),
file('theBenchmark.p',unique_cover4_1_3) ).
cnf(unique_cover1_1_4,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_1_4 ),
file('theBenchmark.p',unique_cover1_1_4) ).
cnf(unique_cover2_1_4,negated_conjecture,
( ~ horizontal_1_3
| ~ horizontal_1_4 ),
file('theBenchmark.p',unique_cover2_1_4) ).
cnf(unique_cover4_1_4,negated_conjecture,
( ~ horizontal_1_3
| ~ vertical_1_4 ),
file('theBenchmark.p',unique_cover4_1_4) ).
cnf(unique_cover1_1_5,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_1_5 ),
file('theBenchmark.p',unique_cover1_1_5) ).
cnf(unique_cover2_1_5,negated_conjecture,
( ~ horizontal_1_4
| ~ horizontal_1_5 ),
file('theBenchmark.p',unique_cover2_1_5) ).
cnf(unique_cover4_1_5,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_1_5 ),
file('theBenchmark.p',unique_cover4_1_5) ).
cnf(unique_cover4_1_6,negated_conjecture,
( ~ horizontal_1_5
| ~ vertical_1_6 ),
file('theBenchmark.p',unique_cover4_1_6) ).
cnf(unique_cover1_2_1,negated_conjecture,
( ~ vertical_2_1
| ~ horizontal_2_1 ),
file('theBenchmark.p',unique_cover1_2_1) ).
cnf(unique_cover3_2_1,negated_conjecture,
( ~ vertical_1_1
| ~ horizontal_2_1 ),
file('theBenchmark.p',unique_cover3_2_1) ).
cnf(unique_cover5_2_1,negated_conjecture,
( ~ vertical_1_1
| ~ vertical_2_1 ),
file('theBenchmark.p',unique_cover5_2_1) ).
cnf(unique_cover1_2_2,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_2 ),
file('theBenchmark.p',unique_cover1_2_2) ).
cnf(unique_cover2_2_2,negated_conjecture,
( ~ horizontal_2_1
| ~ horizontal_2_2 ),
file('theBenchmark.p',unique_cover2_2_2) ).
cnf(unique_cover3_2_2,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_2 ),
file('theBenchmark.p',unique_cover3_2_2) ).
cnf(unique_cover4_2_2,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_2_2 ),
file('theBenchmark.p',unique_cover4_2_2) ).
cnf(unique_cover5_2_2,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_2_2 ),
file('theBenchmark.p',unique_cover5_2_2) ).
cnf(unique_cover6_2_2,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_1 ),
file('theBenchmark.p',unique_cover6_2_2) ).
cnf(unique_cover1_2_3,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_3 ),
file('theBenchmark.p',unique_cover1_2_3) ).
cnf(unique_cover2_2_3,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_2_3 ),
file('theBenchmark.p',unique_cover2_2_3) ).
cnf(unique_cover3_2_3,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_2_3 ),
file('theBenchmark.p',unique_cover3_2_3) ).
cnf(unique_cover4_2_3,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_3 ),
file('theBenchmark.p',unique_cover4_2_3) ).
cnf(unique_cover5_2_3,negated_conjecture,
( ~ vertical_1_3
| ~ vertical_2_3 ),
file('theBenchmark.p',unique_cover5_2_3) ).
cnf(unique_cover6_2_3,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_2_2 ),
file('theBenchmark.p',unique_cover6_2_3) ).
cnf(unique_cover1_2_4,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_2_4 ),
file('theBenchmark.p',unique_cover1_2_4) ).
cnf(unique_cover2_2_4,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_2_4 ),
file('theBenchmark.p',unique_cover2_2_4) ).
cnf(unique_cover3_2_4,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_4 ),
file('theBenchmark.p',unique_cover3_2_4) ).
cnf(unique_cover4_2_4,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
file('theBenchmark.p',unique_cover4_2_4) ).
cnf(unique_cover5_2_4,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_2_4 ),
file('theBenchmark.p',unique_cover5_2_4) ).
cnf(unique_cover6_2_4,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
file('theBenchmark.p',unique_cover6_2_4) ).
cnf(unique_cover1_2_5,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_2_5 ),
file('theBenchmark.p',unique_cover1_2_5) ).
cnf(unique_cover2_2_5,negated_conjecture,
( ~ horizontal_2_4
| ~ horizontal_2_5 ),
file('theBenchmark.p',unique_cover2_2_5) ).
cnf(unique_cover3_2_5,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_2_5 ),
file('theBenchmark.p',unique_cover3_2_5) ).
cnf(unique_cover4_2_5,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_2_5 ),
file('theBenchmark.p',unique_cover4_2_5) ).
cnf(unique_cover5_2_5,negated_conjecture,
( ~ vertical_1_5
| ~ vertical_2_5 ),
file('theBenchmark.p',unique_cover5_2_5) ).
cnf(unique_cover6_2_5,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_2_4 ),
file('theBenchmark.p',unique_cover6_2_5) ).
cnf(unique_cover4_2_6,negated_conjecture,
( ~ horizontal_2_5
| ~ vertical_2_6 ),
file('theBenchmark.p',unique_cover4_2_6) ).
cnf(unique_cover5_2_6,negated_conjecture,
( ~ vertical_1_6
| ~ vertical_2_6 ),
file('theBenchmark.p',unique_cover5_2_6) ).
cnf(unique_cover6_2_6,negated_conjecture,
( ~ vertical_1_6
| ~ horizontal_2_5 ),
file('theBenchmark.p',unique_cover6_2_6) ).
cnf(unique_cover1_3_1,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
file('theBenchmark.p',unique_cover1_3_1) ).
cnf(unique_cover3_3_1,negated_conjecture,
( ~ vertical_2_1
| ~ horizontal_3_1 ),
file('theBenchmark.p',unique_cover3_3_1) ).
cnf(unique_cover5_3_1,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_3_1 ),
file('theBenchmark.p',unique_cover5_3_1) ).
cnf(unique_cover1_3_2,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_2 ),
file('theBenchmark.p',unique_cover1_3_2) ).
cnf(unique_cover2_3_2,negated_conjecture,
( ~ horizontal_3_1
| ~ horizontal_3_2 ),
file('theBenchmark.p',unique_cover2_3_2) ).
cnf(unique_cover3_3_2,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_2 ),
file('theBenchmark.p',unique_cover3_3_2) ).
cnf(unique_cover4_3_2,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_3_2 ),
file('theBenchmark.p',unique_cover4_3_2) ).
cnf(unique_cover5_3_2,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_3_2 ),
file('theBenchmark.p',unique_cover5_3_2) ).
cnf(unique_cover6_3_2,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_1 ),
file('theBenchmark.p',unique_cover6_3_2) ).
cnf(unique_cover1_3_3,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
file('theBenchmark.p',unique_cover1_3_3) ).
cnf(unique_cover2_3_3,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_3 ),
file('theBenchmark.p',unique_cover2_3_3) ).
cnf(unique_cover3_3_3,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_3 ),
file('theBenchmark.p',unique_cover3_3_3) ).
cnf(unique_cover4_3_3,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
file('theBenchmark.p',unique_cover4_3_3) ).
cnf(unique_cover5_3_3,negated_conjecture,
( ~ vertical_2_3
| ~ vertical_3_3 ),
file('theBenchmark.p',unique_cover5_3_3) ).
cnf(unique_cover6_3_3,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
file('theBenchmark.p',unique_cover6_3_3) ).
cnf(unique_cover1_3_4,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_3_4 ),
file('theBenchmark.p',unique_cover1_3_4) ).
cnf(unique_cover2_3_4,negated_conjecture,
( ~ horizontal_3_3
| ~ horizontal_3_4 ),
file('theBenchmark.p',unique_cover2_3_4) ).
cnf(unique_cover3_3_4,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_3_4 ),
file('theBenchmark.p',unique_cover3_3_4) ).
cnf(unique_cover4_3_4,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_3_4 ),
file('theBenchmark.p',unique_cover4_3_4) ).
cnf(unique_cover5_3_4,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_4 ),
file('theBenchmark.p',unique_cover5_3_4) ).
cnf(unique_cover6_3_4,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_3_3 ),
file('theBenchmark.p',unique_cover6_3_4) ).
cnf(unique_cover1_3_5,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_3_5 ),
file('theBenchmark.p',unique_cover1_3_5) ).
cnf(unique_cover2_3_5,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_3_5 ),
file('theBenchmark.p',unique_cover2_3_5) ).
cnf(unique_cover3_3_5,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_3_5 ),
file('theBenchmark.p',unique_cover3_3_5) ).
cnf(unique_cover4_3_5,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_3_5 ),
file('theBenchmark.p',unique_cover4_3_5) ).
cnf(unique_cover5_3_5,negated_conjecture,
( ~ vertical_2_5
| ~ vertical_3_5 ),
file('theBenchmark.p',unique_cover5_3_5) ).
cnf(unique_cover6_3_5,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_3_4 ),
file('theBenchmark.p',unique_cover6_3_5) ).
cnf(unique_cover4_3_6,negated_conjecture,
( ~ horizontal_3_5
| ~ vertical_3_6 ),
file('theBenchmark.p',unique_cover4_3_6) ).
cnf(unique_cover5_3_6,negated_conjecture,
( ~ vertical_2_6
| ~ vertical_3_6 ),
file('theBenchmark.p',unique_cover5_3_6) ).
cnf(unique_cover6_3_6,negated_conjecture,
( ~ vertical_2_6
| ~ horizontal_3_5 ),
file('theBenchmark.p',unique_cover6_3_6) ).
cnf(unique_cover1_4_1,negated_conjecture,
( ~ vertical_4_1
| ~ horizontal_4_1 ),
file('theBenchmark.p',unique_cover1_4_1) ).
cnf(unique_cover3_4_1,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_4_1 ),
file('theBenchmark.p',unique_cover3_4_1) ).
cnf(unique_cover5_4_1,negated_conjecture,
( ~ vertical_3_1
| ~ vertical_4_1 ),
file('theBenchmark.p',unique_cover5_4_1) ).
cnf(unique_cover1_4_2,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_4_2 ),
file('theBenchmark.p',unique_cover1_4_2) ).
cnf(unique_cover2_4_2,negated_conjecture,
( ~ horizontal_4_1
| ~ horizontal_4_2 ),
file('theBenchmark.p',unique_cover2_4_2) ).
cnf(unique_cover3_4_2,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
file('theBenchmark.p',unique_cover3_4_2) ).
cnf(unique_cover4_4_2,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_4_2 ),
file('theBenchmark.p',unique_cover4_4_2) ).
cnf(unique_cover5_4_2,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_4_2 ),
file('theBenchmark.p',unique_cover5_4_2) ).
cnf(unique_cover6_4_2,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_1 ),
file('theBenchmark.p',unique_cover6_4_2) ).
cnf(unique_cover1_4_3,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_4_3 ),
file('theBenchmark.p',unique_cover1_4_3) ).
cnf(unique_cover2_4_3,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_4_3 ),
file('theBenchmark.p',unique_cover2_4_3) ).
cnf(unique_cover3_4_3,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_3 ),
file('theBenchmark.p',unique_cover3_4_3) ).
cnf(unique_cover4_4_3,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_4_3 ),
file('theBenchmark.p',unique_cover4_4_3) ).
cnf(unique_cover5_4_3,negated_conjecture,
( ~ vertical_3_3
| ~ vertical_4_3 ),
file('theBenchmark.p',unique_cover5_4_3) ).
cnf(unique_cover6_4_3,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_2 ),
file('theBenchmark.p',unique_cover6_4_3) ).
cnf(unique_cover1_4_4,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_4_4 ),
file('theBenchmark.p',unique_cover1_4_4) ).
cnf(unique_cover2_4_4,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_4 ),
file('theBenchmark.p',unique_cover2_4_4) ).
cnf(unique_cover3_4_4,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_4 ),
file('theBenchmark.p',unique_cover3_4_4) ).
cnf(unique_cover4_4_4,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_4_4 ),
file('theBenchmark.p',unique_cover4_4_4) ).
cnf(unique_cover5_4_4,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_4_4 ),
file('theBenchmark.p',unique_cover5_4_4) ).
cnf(unique_cover6_4_4,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
file('theBenchmark.p',unique_cover6_4_4) ).
cnf(unique_cover1_4_5,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_4_5 ),
file('theBenchmark.p',unique_cover1_4_5) ).
cnf(unique_cover2_4_5,negated_conjecture,
( ~ horizontal_4_4
| ~ horizontal_4_5 ),
file('theBenchmark.p',unique_cover2_4_5) ).
cnf(unique_cover3_4_5,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_4_5 ),
file('theBenchmark.p',unique_cover3_4_5) ).
cnf(unique_cover4_4_5,negated_conjecture,
( ~ horizontal_4_4
| ~ vertical_4_5 ),
file('theBenchmark.p',unique_cover4_4_5) ).
cnf(unique_cover5_4_5,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_4_5 ),
file('theBenchmark.p',unique_cover5_4_5) ).
cnf(unique_cover6_4_5,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_4_4 ),
file('theBenchmark.p',unique_cover6_4_5) ).
cnf(unique_cover4_4_6,negated_conjecture,
( ~ horizontal_4_5
| ~ vertical_4_6 ),
file('theBenchmark.p',unique_cover4_4_6) ).
cnf(unique_cover5_4_6,negated_conjecture,
( ~ vertical_3_6
| ~ vertical_4_6 ),
file('theBenchmark.p',unique_cover5_4_6) ).
cnf(unique_cover6_4_6,negated_conjecture,
( ~ vertical_3_6
| ~ horizontal_4_5 ),
file('theBenchmark.p',unique_cover6_4_6) ).
cnf(unique_cover1_5_1,negated_conjecture,
( ~ vertical_5_1
| ~ horizontal_5_1 ),
file('theBenchmark.p',unique_cover1_5_1) ).
cnf(unique_cover3_5_1,negated_conjecture,
( ~ vertical_4_1
| ~ horizontal_5_1 ),
file('theBenchmark.p',unique_cover3_5_1) ).
cnf(unique_cover5_5_1,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_5_1 ),
file('theBenchmark.p',unique_cover5_5_1) ).
cnf(unique_cover1_5_2,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_5_2 ),
file('theBenchmark.p',unique_cover1_5_2) ).
cnf(unique_cover2_5_2,negated_conjecture,
( ~ horizontal_5_1
| ~ horizontal_5_2 ),
file('theBenchmark.p',unique_cover2_5_2) ).
cnf(unique_cover3_5_2,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_5_2 ),
file('theBenchmark.p',unique_cover3_5_2) ).
cnf(unique_cover4_5_2,negated_conjecture,
( ~ horizontal_5_1
| ~ vertical_5_2 ),
file('theBenchmark.p',unique_cover4_5_2) ).
cnf(unique_cover5_5_2,negated_conjecture,
( ~ vertical_4_2
| ~ vertical_5_2 ),
file('theBenchmark.p',unique_cover5_5_2) ).
cnf(unique_cover6_5_2,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_5_1 ),
file('theBenchmark.p',unique_cover6_5_2) ).
cnf(unique_cover1_5_3,negated_conjecture,
( ~ vertical_5_3
| ~ horizontal_5_3 ),
file('theBenchmark.p',unique_cover1_5_3) ).
cnf(unique_cover2_5_3,negated_conjecture,
( ~ horizontal_5_2
| ~ horizontal_5_3 ),
file('theBenchmark.p',unique_cover2_5_3) ).
cnf(unique_cover3_5_3,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_3 ),
file('theBenchmark.p',unique_cover3_5_3) ).
cnf(unique_cover4_5_3,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_5_3 ),
file('theBenchmark.p',unique_cover4_5_3) ).
cnf(unique_cover5_5_3,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_5_3 ),
file('theBenchmark.p',unique_cover5_5_3) ).
cnf(unique_cover6_5_3,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_2 ),
file('theBenchmark.p',unique_cover6_5_3) ).
cnf(unique_cover1_5_4,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_5_4 ),
file('theBenchmark.p',unique_cover1_5_4) ).
cnf(unique_cover2_5_4,negated_conjecture,
( ~ horizontal_5_3
| ~ horizontal_5_4 ),
file('theBenchmark.p',unique_cover2_5_4) ).
cnf(unique_cover3_5_4,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_5_4 ),
file('theBenchmark.p',unique_cover3_5_4) ).
cnf(unique_cover4_5_4,negated_conjecture,
( ~ horizontal_5_3
| ~ vertical_5_4 ),
file('theBenchmark.p',unique_cover4_5_4) ).
cnf(unique_cover5_5_4,negated_conjecture,
( ~ vertical_4_4
| ~ vertical_5_4 ),
file('theBenchmark.p',unique_cover5_5_4) ).
cnf(unique_cover6_5_4,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_5_3 ),
file('theBenchmark.p',unique_cover6_5_4) ).
cnf(unique_cover1_5_5,negated_conjecture,
( ~ vertical_5_5
| ~ horizontal_5_5 ),
file('theBenchmark.p',unique_cover1_5_5) ).
cnf(unique_cover2_5_5,negated_conjecture,
( ~ horizontal_5_4
| ~ horizontal_5_5 ),
file('theBenchmark.p',unique_cover2_5_5) ).
cnf(unique_cover3_5_5,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_5_5 ),
file('theBenchmark.p',unique_cover3_5_5) ).
cnf(unique_cover4_5_5,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_5_5 ),
file('theBenchmark.p',unique_cover4_5_5) ).
cnf(unique_cover5_5_5,negated_conjecture,
( ~ vertical_4_5
| ~ vertical_5_5 ),
file('theBenchmark.p',unique_cover5_5_5) ).
cnf(unique_cover6_5_5,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_5_4 ),
file('theBenchmark.p',unique_cover6_5_5) ).
cnf(unique_cover4_5_6,negated_conjecture,
( ~ horizontal_5_5
| ~ vertical_5_6 ),
file('theBenchmark.p',unique_cover4_5_6) ).
cnf(unique_cover5_5_6,negated_conjecture,
( ~ vertical_4_6
| ~ vertical_5_6 ),
file('theBenchmark.p',unique_cover5_5_6) ).
cnf(unique_cover6_5_6,negated_conjecture,
( ~ vertical_4_6
| ~ horizontal_5_5 ),
file('theBenchmark.p',unique_cover6_5_6) ).
cnf(unique_cover3_6_1,negated_conjecture,
( ~ vertical_5_1
| ~ horizontal_6_1 ),
file('theBenchmark.p',unique_cover3_6_1) ).
cnf(unique_cover2_6_2,negated_conjecture,
( ~ horizontal_6_1
| ~ horizontal_6_2 ),
file('theBenchmark.p',unique_cover2_6_2) ).
cnf(unique_cover3_6_2,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_6_2 ),
file('theBenchmark.p',unique_cover3_6_2) ).
cnf(unique_cover6_6_2,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_6_1 ),
file('theBenchmark.p',unique_cover6_6_2) ).
cnf(unique_cover2_6_3,negated_conjecture,
( ~ horizontal_6_2
| ~ horizontal_6_3 ),
file('theBenchmark.p',unique_cover2_6_3) ).
cnf(unique_cover3_6_3,negated_conjecture,
( ~ vertical_5_3
| ~ horizontal_6_3 ),
file('theBenchmark.p',unique_cover3_6_3) ).
cnf(unique_cover6_6_3,negated_conjecture,
( ~ vertical_5_3
| ~ horizontal_6_2 ),
file('theBenchmark.p',unique_cover6_6_3) ).
cnf(unique_cover2_6_4,negated_conjecture,
( ~ horizontal_6_3
| ~ horizontal_6_4 ),
file('theBenchmark.p',unique_cover2_6_4) ).
cnf(unique_cover3_6_4,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_6_4 ),
file('theBenchmark.p',unique_cover3_6_4) ).
cnf(unique_cover6_6_4,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_6_3 ),
file('theBenchmark.p',unique_cover6_6_4) ).
cnf(unique_cover2_6_5,negated_conjecture,
( ~ horizontal_6_4
| ~ horizontal_6_5 ),
file('theBenchmark.p',unique_cover2_6_5) ).
cnf(unique_cover3_6_5,negated_conjecture,
( ~ vertical_5_5
| ~ horizontal_6_5 ),
file('theBenchmark.p',unique_cover3_6_5) ).
cnf(unique_cover6_6_5,negated_conjecture,
( ~ vertical_5_5
| ~ horizontal_6_4 ),
file('theBenchmark.p',unique_cover6_6_5) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ015-2.006 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 This is a CNF_UNS_PRP problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 19 19:53:04 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------