%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ015-2.006 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 : Fri Sep 25 02:31:51 PM UTC 2026
% Result : Unsatisfiable 21.05s 3.90s
% Output : Proof 21.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 138
% Number of leaves : 93
% Syntax : Number of formulae : 1416 ( 18 unt; 0 def)
% Number of atoms : 9583 ( 0 equ)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 8981 ( 814 ~;8167 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 61 ( 60 usr; 61 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f178,negated_conjecture,
( ~ horizontal_6_3
| ~ horizontal_6_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_6_4) ).
fof(f178_nnf,plain,
( ~ horizontal_6_3
| ~ horizontal_6_4 ),
inference(nnf_transformation,[status(thm)],[f178]) ).
fof(f178_sk,plain,
( ~ horizontal_6_3
| ~ horizontal_6_4 ),
inference(skolemisation,[status(esa)],[f178_nnf]) ).
cnf(c178,plain,
( ~ horizontal_6_3
| ~ horizontal_6_4 ),
inference(cnf_transformation,[status(esa)],[f178_sk]) ).
cnf(f37,negated_conjecture,
( vertical_5_5
| horizontal_6_4
| horizontal_6_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_6_5) ).
fof(f37_nnf,plain,
( vertical_5_5
| horizontal_6_4
| horizontal_6_5 ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
( vertical_5_5
| horizontal_6_4
| horizontal_6_5 ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c37,plain,
( vertical_5_5
| horizontal_6_4
| horizontal_6_5 ),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(p189,plain,
( vertical_5_5
| horizontal_6_5
| ~ horizontal_6_3 ),
inference(resolution,[status(thm)],[c178,c37]) ).
cnf(f35,negated_conjecture,
( vertical_5_3
| horizontal_6_2
| horizontal_6_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_6_3) ).
fof(f35_nnf,plain,
( vertical_5_3
| horizontal_6_2
| horizontal_6_3 ),
inference(nnf_transformation,[status(thm)],[f35]) ).
fof(f35_sk,plain,
( vertical_5_3
| horizontal_6_2
| horizontal_6_3 ),
inference(skolemisation,[status(esa)],[f35_nnf]) ).
cnf(c35,plain,
( vertical_5_3
| horizontal_6_2
| horizontal_6_3 ),
inference(cnf_transformation,[status(esa)],[f35_sk]) ).
cnf(p196,plain,
( vertical_5_3
| horizontal_6_2
| vertical_5_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p189,c35]) ).
cnf(f172,negated_conjecture,
( ~ horizontal_6_1
| ~ horizontal_6_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_6_2) ).
fof(f172_nnf,plain,
( ~ horizontal_6_1
| ~ horizontal_6_2 ),
inference(nnf_transformation,[status(thm)],[f172]) ).
fof(f172_sk,plain,
( ~ horizontal_6_1
| ~ horizontal_6_2 ),
inference(skolemisation,[status(esa)],[f172_nnf]) ).
cnf(c172,plain,
( ~ horizontal_6_1
| ~ horizontal_6_2 ),
inference(cnf_transformation,[status(esa)],[f172_sk]) ).
cnf(p202,plain,
( ~ horizontal_6_1
| vertical_5_3
| vertical_5_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p196,c172]) ).
cnf(f33,negated_conjecture,
( vertical_5_1
| horizontal_6_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_6_1) ).
fof(f33_nnf,plain,
( vertical_5_1
| horizontal_6_1 ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
( vertical_5_1
| horizontal_6_1 ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
( vertical_5_1
| horizontal_6_1 ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(p205,plain,
( vertical_5_1
| vertical_5_3
| vertical_5_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p202,c33]) ).
cnf(f166,negated_conjecture,
( ~ vertical_4_5
| ~ vertical_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_5_5) ).
fof(f166_nnf,plain,
( ~ vertical_4_5
| ~ vertical_5_5 ),
inference(nnf_transformation,[status(thm)],[f166]) ).
fof(f166_sk,plain,
( ~ vertical_4_5
| ~ vertical_5_5 ),
inference(skolemisation,[status(esa)],[f166_nnf]) ).
cnf(c166,plain,
( ~ vertical_4_5
| ~ vertical_5_5 ),
inference(cnf_transformation,[status(esa)],[f166_sk]) ).
cnf(p209,plain,
( ~ vertical_4_5
| vertical_5_1
| vertical_5_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p205,c166]) ).
cnf(f25,negated_conjecture,
( vertical_3_5
| horizontal_4_4
| vertical_4_5
| horizontal_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_5) ).
fof(f25_nnf,plain,
( vertical_3_5
| horizontal_4_4
| vertical_4_5
| horizontal_4_5 ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
( vertical_3_5
| horizontal_4_4
| vertical_4_5
| horizontal_4_5 ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( vertical_3_5
| horizontal_4_4
| vertical_4_5
| horizontal_4_5 ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p212,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_5_1
| vertical_5_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p209,c25]) ).
cnf(f154,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_5_3) ).
fof(f154_nnf,plain,
( ~ vertical_4_3
| ~ vertical_5_3 ),
inference(nnf_transformation,[status(thm)],[f154]) ).
fof(f154_sk,plain,
( ~ vertical_4_3
| ~ vertical_5_3 ),
inference(skolemisation,[status(esa)],[f154_nnf]) ).
cnf(c154,plain,
( ~ vertical_4_3
| ~ vertical_5_3 ),
inference(cnf_transformation,[status(esa)],[f154_sk]) ).
cnf(p237,plain,
( ~ vertical_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_5_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p212,c154]) ).
cnf(f23,negated_conjecture,
( vertical_3_3
| horizontal_4_2
| vertical_4_3
| horizontal_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_3) ).
fof(f23_nnf,plain,
( vertical_3_3
| horizontal_4_2
| vertical_4_3
| horizontal_4_3 ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
( vertical_3_3
| horizontal_4_2
| vertical_4_3
| horizontal_4_3 ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( vertical_3_3
| horizontal_4_2
| vertical_4_3
| horizontal_4_3 ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p256,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_5_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p237,c23]) ).
cnf(f143,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_5_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_5_1) ).
fof(f143_nnf,plain,
( ~ vertical_4_1
| ~ vertical_5_1 ),
inference(nnf_transformation,[status(thm)],[f143]) ).
fof(f143_sk,plain,
( ~ vertical_4_1
| ~ vertical_5_1 ),
inference(skolemisation,[status(esa)],[f143_nnf]) ).
cnf(c143,plain,
( ~ vertical_4_1
| ~ vertical_5_1 ),
inference(cnf_transformation,[status(esa)],[f143_sk]) ).
cnf(p311,plain,
( ~ vertical_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p256,c143]) ).
cnf(f21,negated_conjecture,
( vertical_3_1
| vertical_4_1
| horizontal_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_1) ).
fof(f21_nnf,plain,
( vertical_3_1
| vertical_4_1
| horizontal_4_1 ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
( vertical_3_1
| vertical_4_1
| horizontal_4_1 ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( vertical_3_1
| vertical_4_1
| horizontal_4_1 ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p378,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p311,c21]) ).
cnf(f162,negated_conjecture,
( ~ vertical_5_5
| ~ horizontal_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_5_5) ).
fof(f162_nnf,plain,
( ~ vertical_5_5
| ~ horizontal_5_5 ),
inference(nnf_transformation,[status(thm)],[f162]) ).
fof(f162_sk,plain,
( ~ vertical_5_5
| ~ horizontal_5_5 ),
inference(skolemisation,[status(esa)],[f162_nnf]) ).
cnf(c162,plain,
( ~ vertical_5_5
| ~ horizontal_5_5 ),
inference(cnf_transformation,[status(esa)],[f162_sk]) ).
cnf(f32,negated_conjecture,
( vertical_4_6
| horizontal_5_5
| vertical_5_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_5_6) ).
fof(f32_nnf,plain,
( vertical_4_6
| horizontal_5_5
| vertical_5_6 ),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
( vertical_4_6
| horizontal_5_5
| vertical_5_6 ),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,plain,
( vertical_4_6
| horizontal_5_5
| vertical_5_6 ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p184,plain,
( vertical_4_6
| vertical_5_6
| ~ vertical_5_5 ),
inference(resolution,[status(thm)],[c162,c32]) ).
cnf(p210,plain,
( vertical_4_6
| vertical_5_6
| vertical_5_1
| vertical_5_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p205,p184]) ).
cnf(p222,plain,
( ~ vertical_4_3
| vertical_4_6
| vertical_5_6
| vertical_5_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p210,c154]) ).
cnf(p235,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_5_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p222,c23]) ).
cnf(p275,plain,
( ~ vertical_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p235,c143]) ).
cnf(p313,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p275,c21]) ).
cnf(f138,negated_conjecture,
( ~ horizontal_4_5
| ~ vertical_4_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_4_6) ).
fof(f138_nnf,plain,
( ~ horizontal_4_5
| ~ vertical_4_6 ),
inference(nnf_transformation,[status(thm)],[f138]) ).
fof(f138_sk,plain,
( ~ horizontal_4_5
| ~ vertical_4_6 ),
inference(skolemisation,[status(esa)],[f138_nnf]) ).
cnf(c138,plain,
( ~ horizontal_4_5
| ~ vertical_4_6 ),
inference(cnf_transformation,[status(esa)],[f138_sk]) ).
cnf(p381,plain,
( ~ horizontal_4_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p313,c138]) ).
cnf(p512,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p378,p381]) ).
cnf(p705,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p512]) ).
cnf(p1022,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p705]) ).
cnf(p1325,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1022]) ).
cnf(p1692,plain,
( vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1325]) ).
cnf(p1906,plain,
( vertical_3_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1692]) ).
cnf(p1908,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1906]) ).
cnf(f126,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_4_4) ).
fof(f126_nnf,plain,
( ~ vertical_4_4
| ~ horizontal_4_4 ),
inference(nnf_transformation,[status(thm)],[f126]) ).
fof(f126_sk,plain,
( ~ vertical_4_4
| ~ horizontal_4_4 ),
inference(skolemisation,[status(esa)],[f126_nnf]) ).
cnf(c126,plain,
( ~ vertical_4_4
| ~ horizontal_4_4 ),
inference(cnf_transformation,[status(esa)],[f126_sk]) ).
cnf(p1911,plain,
( ~ vertical_4_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1908,c126]) ).
cnf(f180,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_6_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_6_4) ).
fof(f180_nnf,plain,
( ~ vertical_5_4
| ~ horizontal_6_3 ),
inference(nnf_transformation,[status(thm)],[f180]) ).
fof(f180_sk,plain,
( ~ vertical_5_4
| ~ horizontal_6_3 ),
inference(skolemisation,[status(esa)],[f180_nnf]) ).
cnf(c180,plain,
( ~ vertical_5_4
| ~ horizontal_6_3 ),
inference(cnf_transformation,[status(esa)],[f180_sk]) ).
cnf(p191,plain,
( vertical_5_3
| horizontal_6_2
| ~ vertical_5_4 ),
inference(resolution,[status(thm)],[c180,c35]) ).
cnf(f30,negated_conjecture,
( vertical_4_4
| horizontal_5_3
| vertical_5_4
| horizontal_5_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_5_4) ).
fof(f30_nnf,plain,
( vertical_4_4
| horizontal_5_3
| vertical_5_4
| horizontal_5_4 ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
( vertical_4_4
| horizontal_5_3
| vertical_5_4
| horizontal_5_4 ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( vertical_4_4
| horizontal_5_3
| vertical_5_4
| horizontal_5_4 ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p198,plain,
( vertical_4_4
| horizontal_5_3
| horizontal_5_4
| vertical_5_3
| horizontal_6_2 ),
inference(resolution,[status(thm)],[p191,c30]) ).
cnf(p215,plain,
( ~ horizontal_6_1
| vertical_4_4
| horizontal_5_3
| horizontal_5_4
| vertical_5_3 ),
inference(resolution,[status(thm)],[p198,c172]) ).
cnf(p226,plain,
( vertical_5_1
| vertical_4_4
| horizontal_5_3
| horizontal_5_4
| vertical_5_3 ),
inference(resolution,[status(thm)],[p215,c33]) ).
cnf(f165,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_5_5) ).
fof(f165_nnf,plain,
( ~ horizontal_5_4
| ~ vertical_5_5 ),
inference(nnf_transformation,[status(thm)],[f165]) ).
fof(f165_sk,plain,
( ~ horizontal_5_4
| ~ vertical_5_5 ),
inference(skolemisation,[status(esa)],[f165_nnf]) ).
cnf(c165,plain,
( ~ horizontal_5_4
| ~ vertical_5_5 ),
inference(cnf_transformation,[status(esa)],[f165_sk]) ).
cnf(p208,plain,
( ~ horizontal_5_4
| vertical_5_1
| vertical_5_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p205,c165]) ).
cnf(p241,plain,
( vertical_5_1
| vertical_5_3
| horizontal_6_5
| vertical_5_1
| vertical_4_4
| horizontal_5_3
| vertical_5_3 ),
inference(resolution,[status(thm)],[p226,p208]) ).
cnf(p277,plain,
( vertical_5_1
| horizontal_6_5
| vertical_5_1
| vertical_4_4
| horizontal_5_3
| vertical_5_3 ),
inference(factoring,[status(thm)],[p241]) ).
cnf(p279,plain,
( horizontal_6_5
| vertical_5_1
| vertical_4_4
| horizontal_5_3
| vertical_5_3 ),
inference(factoring,[status(thm)],[p277]) ).
cnf(p281,plain,
( ~ vertical_4_3
| horizontal_6_5
| vertical_5_1
| vertical_4_4
| horizontal_5_3 ),
inference(resolution,[status(thm)],[p279,c154]) ).
cnf(p285,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_5_1
| vertical_4_4
| horizontal_5_3 ),
inference(resolution,[status(thm)],[p281,c23]) ).
cnf(f152,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_5_3) ).
fof(f152_nnf,plain,
( ~ vertical_4_3
| ~ horizontal_5_3 ),
inference(nnf_transformation,[status(thm)],[f152]) ).
fof(f152_sk,plain,
( ~ vertical_4_3
| ~ horizontal_5_3 ),
inference(skolemisation,[status(esa)],[f152_nnf]) ).
cnf(c152,plain,
( ~ vertical_4_3
| ~ horizontal_5_3 ),
inference(cnf_transformation,[status(esa)],[f152_sk]) ).
cnf(p329,plain,
( ~ vertical_4_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_5_1
| vertical_4_4 ),
inference(resolution,[status(thm)],[p285,c152]) ).
cnf(p344,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_5_1
| vertical_4_4 ),
inference(resolution,[status(thm)],[p329,c23]) ).
cnf(p454,plain,
( vertical_3_3
| horizontal_4_2
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_5_1
| vertical_4_4 ),
inference(factoring,[status(thm)],[p344]) ).
cnf(p480,plain,
( vertical_3_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_5_1
| vertical_4_4 ),
inference(factoring,[status(thm)],[p454]) ).
cnf(p482,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_5_1
| vertical_4_4 ),
inference(factoring,[status(thm)],[p480]) ).
cnf(p486,plain,
( ~ vertical_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_4 ),
inference(resolution,[status(thm)],[p482,c143]) ).
cnf(p488,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_4 ),
inference(resolution,[status(thm)],[p486,c21]) ).
cnf(p1912,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1911,p488]) ).
cnf(p2330,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1912]) ).
cnf(p2804,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2330]) ).
cnf(p3321,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2804]) ).
cnf(p3327,plain,
( vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3321]) ).
cnf(p3330,plain,
( vertical_3_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3327]) ).
cnf(p3338,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3330]) ).
cnf(f179,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_6_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_6_4) ).
fof(f179_nnf,plain,
( ~ vertical_5_4
| ~ horizontal_6_4 ),
inference(nnf_transformation,[status(thm)],[f179]) ).
fof(f179_sk,plain,
( ~ vertical_5_4
| ~ horizontal_6_4 ),
inference(skolemisation,[status(esa)],[f179_nnf]) ).
cnf(c179,plain,
( ~ vertical_5_4
| ~ horizontal_6_4 ),
inference(cnf_transformation,[status(esa)],[f179_sk]) ).
cnf(p190,plain,
( vertical_5_5
| horizontal_6_5
| ~ vertical_5_4 ),
inference(resolution,[status(thm)],[c179,c37]) ).
cnf(p197,plain,
( vertical_4_4
| horizontal_5_3
| horizontal_5_4
| vertical_5_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p190,c30]) ).
cnf(p213,plain,
( ~ vertical_4_5
| vertical_4_4
| horizontal_5_3
| horizontal_5_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p197,c166]) ).
cnf(p225,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_5_3
| horizontal_5_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p213,c25]) ).
cnf(f167,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_5_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_5_5) ).
fof(f167_nnf,plain,
( ~ vertical_4_5
| ~ horizontal_5_4 ),
inference(nnf_transformation,[status(thm)],[f167]) ).
fof(f167_sk,plain,
( ~ vertical_4_5
| ~ horizontal_5_4 ),
inference(skolemisation,[status(esa)],[f167_nnf]) ).
cnf(c167,plain,
( ~ vertical_4_5
| ~ horizontal_5_4 ),
inference(cnf_transformation,[status(esa)],[f167_sk]) ).
cnf(p251,plain,
( ~ vertical_4_5
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_5_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p225,c167]) ).
cnf(p297,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_5_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p251,c25]) ).
cnf(p368,plain,
( vertical_3_5
| horizontal_4_4
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_5_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p297]) ).
cnf(p451,plain,
( vertical_3_5
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_5_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p368]) ).
cnf(p453,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_5_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p451]) ).
cnf(f150,negated_conjecture,
( ~ vertical_5_3
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_5_3) ).
fof(f150_nnf,plain,
( ~ vertical_5_3
| ~ horizontal_5_3 ),
inference(nnf_transformation,[status(thm)],[f150]) ).
fof(f150_sk,plain,
( ~ vertical_5_3
| ~ horizontal_5_3 ),
inference(skolemisation,[status(esa)],[f150_nnf]) ).
cnf(c150,plain,
( ~ vertical_5_3
| ~ horizontal_5_3 ),
inference(cnf_transformation,[status(esa)],[f150_sk]) ).
cnf(p457,plain,
( ~ vertical_5_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p453,c150]) ).
cnf(p460,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_5_1
| horizontal_6_5
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p457,p212]) ).
cnf(p620,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p460]) ).
cnf(p632,plain,
( vertical_3_5
| horizontal_4_4
| vertical_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p620]) ).
cnf(p635,plain,
( vertical_3_5
| vertical_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p632]) ).
cnf(p637,plain,
( vertical_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p635]) ).
cnf(p640,plain,
( ~ vertical_4_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p637,c143]) ).
cnf(p641,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p640,c21]) ).
cnf(p214,plain,
( vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_5_3
| horizontal_5_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p197,p184]) ).
cnf(f163,negated_conjecture,
( ~ horizontal_5_4
| ~ horizontal_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_5_5) ).
fof(f163_nnf,plain,
( ~ horizontal_5_4
| ~ horizontal_5_5 ),
inference(nnf_transformation,[status(thm)],[f163]) ).
fof(f163_sk,plain,
( ~ horizontal_5_4
| ~ horizontal_5_5 ),
inference(skolemisation,[status(esa)],[f163_nnf]) ).
cnf(c163,plain,
( ~ horizontal_5_4
| ~ horizontal_5_5 ),
inference(cnf_transformation,[status(esa)],[f163_sk]) ).
cnf(p185,plain,
( vertical_4_6
| vertical_5_6
| ~ horizontal_5_4 ),
inference(resolution,[status(thm)],[c163,c32]) ).
cnf(p244,plain,
( vertical_4_6
| vertical_5_6
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_5_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p214,p185]) ).
cnf(p286,plain,
( vertical_4_6
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_5_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p244]) ).
cnf(p288,plain,
( vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_5_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p286]) ).
cnf(p291,plain,
( ~ vertical_5_3
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p288,c150]) ).
cnf(p294,plain,
( vertical_4_6
| vertical_5_6
| vertical_5_1
| horizontal_6_5
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p291,p210]) ).
cnf(p353,plain,
( vertical_4_6
| vertical_5_6
| vertical_5_1
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p294]) ).
cnf(p357,plain,
( vertical_4_6
| vertical_5_1
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p353]) ).
cnf(p359,plain,
( vertical_5_1
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p357]) ).
cnf(p363,plain,
( ~ vertical_4_1
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p359,c143]) ).
cnf(p365,plain,
( vertical_3_1
| horizontal_4_1
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p363,c21]) ).
cnf(p366,plain,
( ~ horizontal_4_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p365,c138]) ).
cnf(p644,plain,
( vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_4_4
| horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p641,p366]) ).
cnf(p940,plain,
( vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_4_4
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p644]) ).
cnf(p1041,plain,
( vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p940]) ).
cnf(p1044,plain,
( vertical_3_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1041]) ).
cnf(p1048,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1044]) ).
cnf(f129,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_4_4) ).
fof(f129_nnf,plain,
( ~ horizontal_4_3
| ~ vertical_4_4 ),
inference(nnf_transformation,[status(thm)],[f129]) ).
fof(f129_sk,plain,
( ~ horizontal_4_3
| ~ vertical_4_4 ),
inference(skolemisation,[status(esa)],[f129_nnf]) ).
cnf(c129,plain,
( ~ horizontal_4_3
| ~ vertical_4_4 ),
inference(cnf_transformation,[status(esa)],[f129_sk]) ).
cnf(p1049,plain,
( ~ horizontal_4_3
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1048,c129]) ).
cnf(p3341,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_4_4
| horizontal_6_5
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3338,p1049]) ).
cnf(p3897,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_4_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3341]) ).
cnf(p4250,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| horizontal_4_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3897]) ).
cnf(p4254,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4250]) ).
cnf(p4264,plain,
( vertical_5_6
| horizontal_4_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4254]) ).
cnf(p4266,plain,
( horizontal_4_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4264]) ).
cnf(f127,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_4_4) ).
fof(f127_nnf,plain,
( ~ horizontal_4_3
| ~ horizontal_4_4 ),
inference(nnf_transformation,[status(thm)],[f127]) ).
fof(f127_sk,plain,
( ~ horizontal_4_3
| ~ horizontal_4_4 ),
inference(skolemisation,[status(esa)],[f127_nnf]) ).
cnf(c127,plain,
( ~ horizontal_4_3
| ~ horizontal_4_4 ),
inference(cnf_transformation,[status(esa)],[f127_sk]) ).
cnf(p4268,plain,
( ~ horizontal_4_3
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4266,c127]) ).
cnf(p4271,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4268,p3338]) ).
cnf(p4850,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4271]) ).
cnf(p5449,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4850]) ).
cnf(p5726,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5449]) ).
cnf(p5731,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5726]) ).
cnf(p5735,plain,
( vertical_5_6
| vertical_3_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5731]) ).
cnf(p5738,plain,
( vertical_5_6
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5735]) ).
cnf(p5743,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5738]) ).
cnf(f114,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_4_2) ).
fof(f114_nnf,plain,
( ~ vertical_4_2
| ~ horizontal_4_2 ),
inference(nnf_transformation,[status(thm)],[f114]) ).
fof(f114_sk,plain,
( ~ vertical_4_2
| ~ horizontal_4_2 ),
inference(skolemisation,[status(esa)],[f114_nnf]) ).
cnf(c114,plain,
( ~ vertical_4_2
| ~ horizontal_4_2 ),
inference(cnf_transformation,[status(esa)],[f114_sk]) ).
cnf(p5744,plain,
( ~ vertical_4_2
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5743,c114]) ).
cnf(f153,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_5_3) ).
fof(f153_nnf,plain,
( ~ horizontal_5_2
| ~ vertical_5_3 ),
inference(nnf_transformation,[status(thm)],[f153]) ).
fof(f153_sk,plain,
( ~ horizontal_5_2
| ~ vertical_5_3 ),
inference(skolemisation,[status(esa)],[f153_nnf]) ).
cnf(c153,plain,
( ~ horizontal_5_2
| ~ vertical_5_3 ),
inference(cnf_transformation,[status(esa)],[f153_sk]) ).
cnf(p236,plain,
( ~ horizontal_5_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_5_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p212,c153]) ).
cnf(f174,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_6_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_6_2) ).
fof(f174_nnf,plain,
( ~ vertical_5_2
| ~ horizontal_6_1 ),
inference(nnf_transformation,[status(thm)],[f174]) ).
fof(f174_sk,plain,
( ~ vertical_5_2
| ~ horizontal_6_1 ),
inference(skolemisation,[status(esa)],[f174_nnf]) ).
cnf(c174,plain,
( ~ vertical_5_2
| ~ horizontal_6_1 ),
inference(cnf_transformation,[status(esa)],[f174_sk]) ).
cnf(p187,plain,
( vertical_5_1
| ~ vertical_5_2 ),
inference(resolution,[status(thm)],[c174,c33]) ).
cnf(f28,negated_conjecture,
( vertical_4_2
| horizontal_5_1
| vertical_5_2
| horizontal_5_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_5_2) ).
fof(f28_nnf,plain,
( vertical_4_2
| horizontal_5_1
| vertical_5_2
| horizontal_5_2 ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
( vertical_4_2
| horizontal_5_1
| vertical_5_2
| horizontal_5_2 ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( vertical_4_2
| horizontal_5_1
| vertical_5_2
| horizontal_5_2 ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p193,plain,
( vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_5_1 ),
inference(resolution,[status(thm)],[p187,c28]) ).
cnf(p255,plain,
( vertical_4_2
| horizontal_5_1
| vertical_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_5_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p236,p193]) ).
cnf(p306,plain,
( vertical_4_2
| horizontal_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_5_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p255]) ).
cnf(p336,plain,
( ~ vertical_4_1
| vertical_4_2
| horizontal_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p306,c143]) ).
cnf(p349,plain,
( vertical_3_1
| horizontal_4_1
| vertical_4_2
| horizontal_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p336,c21]) ).
cnf(f142,negated_conjecture,
( ~ vertical_4_1
| ~ horizontal_5_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_5_1) ).
fof(f142_nnf,plain,
( ~ vertical_4_1
| ~ horizontal_5_1 ),
inference(nnf_transformation,[status(thm)],[f142]) ).
fof(f142_sk,plain,
( ~ vertical_4_1
| ~ horizontal_5_1 ),
inference(skolemisation,[status(esa)],[f142_nnf]) ).
cnf(c142,plain,
( ~ vertical_4_1
| ~ horizontal_5_1 ),
inference(cnf_transformation,[status(esa)],[f142_sk]) ).
cnf(p450,plain,
( ~ vertical_4_1
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p349,c142]) ).
cnf(p479,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p450,c21]) ).
cnf(p561,plain,
( vertical_3_1
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p479]) ).
cnf(p563,plain,
( vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p561]) ).
cnf(p221,plain,
( ~ horizontal_5_2
| vertical_4_6
| vertical_5_6
| vertical_5_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p210,c153]) ).
cnf(p234,plain,
( vertical_4_2
| horizontal_5_1
| vertical_5_1
| vertical_4_6
| vertical_5_6
| vertical_5_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p221,p193]) ).
cnf(p273,plain,
( vertical_4_2
| horizontal_5_1
| vertical_4_6
| vertical_5_6
| vertical_5_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p234]) ).
cnf(p274,plain,
( ~ vertical_4_1
| vertical_4_2
| horizontal_5_1
| vertical_4_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p273,c143]) ).
cnf(p276,plain,
( vertical_3_1
| horizontal_4_1
| vertical_4_2
| horizontal_5_1
| vertical_4_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p274,c21]) ).
cnf(p315,plain,
( ~ vertical_4_1
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_4_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p276,c142]) ).
cnf(p342,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_4_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p315,c21]) ).
cnf(p432,plain,
( vertical_3_1
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_4_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p342]) ).
cnf(p434,plain,
( vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_4_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p432]) ).
cnf(p435,plain,
( ~ horizontal_4_5
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p434,c138]) ).
cnf(p566,plain,
( vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_5_6
| horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p563,p435]) ).
cnf(p810,plain,
( vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p566]) ).
cnf(p905,plain,
( vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p810]) ).
cnf(p908,plain,
( vertical_3_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p905]) ).
cnf(p910,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p908]) ).
cnf(p911,plain,
( ~ vertical_4_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p910,c126]) ).
cnf(p280,plain,
( ~ horizontal_5_2
| horizontal_6_5
| vertical_5_1
| vertical_4_4
| horizontal_5_3 ),
inference(resolution,[status(thm)],[p279,c153]) ).
cnf(p284,plain,
( vertical_4_2
| horizontal_5_1
| vertical_5_1
| horizontal_6_5
| vertical_5_1
| vertical_4_4
| horizontal_5_3 ),
inference(resolution,[status(thm)],[p280,p193]) ).
cnf(p319,plain,
( vertical_4_2
| horizontal_5_1
| horizontal_6_5
| vertical_5_1
| vertical_4_4
| horizontal_5_3 ),
inference(factoring,[status(thm)],[p284]) ).
cnf(f151,negated_conjecture,
( ~ horizontal_5_2
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_5_3) ).
fof(f151_nnf,plain,
( ~ horizontal_5_2
| ~ horizontal_5_3 ),
inference(nnf_transformation,[status(thm)],[f151]) ).
fof(f151_sk,plain,
( ~ horizontal_5_2
| ~ horizontal_5_3 ),
inference(skolemisation,[status(esa)],[f151_nnf]) ).
cnf(c151,plain,
( ~ horizontal_5_2
| ~ horizontal_5_3 ),
inference(cnf_transformation,[status(esa)],[f151_sk]) ).
cnf(p321,plain,
( ~ horizontal_5_2
| vertical_4_2
| horizontal_5_1
| horizontal_6_5
| vertical_5_1
| vertical_4_4 ),
inference(resolution,[status(thm)],[p319,c151]) ).
cnf(p326,plain,
( vertical_4_2
| horizontal_5_1
| vertical_5_1
| vertical_4_2
| horizontal_5_1
| horizontal_6_5
| vertical_5_1
| vertical_4_4 ),
inference(resolution,[status(thm)],[p321,p193]) ).
cnf(p386,plain,
( vertical_4_2
| horizontal_5_1
| vertical_4_2
| horizontal_5_1
| horizontal_6_5
| vertical_5_1
| vertical_4_4 ),
inference(factoring,[status(thm)],[p326]) ).
cnf(p389,plain,
( vertical_4_2
| vertical_4_2
| horizontal_5_1
| horizontal_6_5
| vertical_5_1
| vertical_4_4 ),
inference(factoring,[status(thm)],[p386]) ).
cnf(p391,plain,
( vertical_4_2
| horizontal_5_1
| horizontal_6_5
| vertical_5_1
| vertical_4_4 ),
inference(factoring,[status(thm)],[p389]) ).
cnf(p393,plain,
( ~ vertical_4_1
| vertical_4_2
| horizontal_5_1
| horizontal_6_5
| vertical_4_4 ),
inference(resolution,[status(thm)],[p391,c143]) ).
cnf(p395,plain,
( vertical_3_1
| horizontal_4_1
| vertical_4_2
| horizontal_5_1
| horizontal_6_5
| vertical_4_4 ),
inference(resolution,[status(thm)],[p393,c21]) ).
cnf(p397,plain,
( ~ vertical_4_1
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| horizontal_6_5
| vertical_4_4 ),
inference(resolution,[status(thm)],[p395,c142]) ).
cnf(p401,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| horizontal_6_5
| vertical_4_4 ),
inference(resolution,[status(thm)],[p397,c21]) ).
cnf(p402,plain,
( vertical_3_1
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| horizontal_6_5
| vertical_4_4 ),
inference(factoring,[status(thm)],[p401]) ).
cnf(p404,plain,
( vertical_3_1
| horizontal_4_1
| vertical_4_2
| horizontal_6_5
| vertical_4_4 ),
inference(factoring,[status(thm)],[p402]) ).
cnf(p912,plain,
( vertical_3_1
| horizontal_4_1
| vertical_4_2
| horizontal_6_5
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p911,p404]) ).
cnf(p997,plain,
( vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p912]) ).
cnf(p1001,plain,
( vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p997]) ).
cnf(p1004,plain,
( vertical_3_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1001]) ).
cnf(p1009,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1004]) ).
cnf(p5745,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_6_5
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5744,p1009]) ).
cnf(p5746,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5745]) ).
cnf(p5754,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5746]) ).
cnf(p5758,plain,
( vertical_5_6
| vertical_3_1
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5754]) ).
cnf(p5761,plain,
( vertical_5_6
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5758]) ).
cnf(p5763,plain,
( vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5761]) ).
cnf(f173,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_6_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_6_2) ).
fof(f173_nnf,plain,
( ~ vertical_5_2
| ~ horizontal_6_2 ),
inference(nnf_transformation,[status(thm)],[f173]) ).
fof(f173_sk,plain,
( ~ vertical_5_2
| ~ horizontal_6_2 ),
inference(skolemisation,[status(esa)],[f173_nnf]) ).
cnf(c173,plain,
( ~ vertical_5_2
| ~ horizontal_6_2 ),
inference(cnf_transformation,[status(esa)],[f173_sk]) ).
cnf(p203,plain,
( ~ vertical_5_2
| vertical_5_3
| vertical_5_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p196,c173]) ).
cnf(p206,plain,
( vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_5_3
| vertical_5_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p203,c28]) ).
cnf(p229,plain,
( ~ vertical_4_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_5_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p206,c166]) ).
cnf(p253,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_5_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p229,c25]) ).
cnf(p301,plain,
( ~ vertical_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p253,c154]) ).
cnf(p377,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p301,c23]) ).
cnf(f155,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_5_3) ).
fof(f155_nnf,plain,
( ~ vertical_4_3
| ~ horizontal_5_2 ),
inference(nnf_transformation,[status(thm)],[f155]) ).
fof(f155_sk,plain,
( ~ vertical_4_3
| ~ horizontal_5_2 ),
inference(skolemisation,[status(esa)],[f155_nnf]) ).
cnf(c155,plain,
( ~ vertical_4_3
| ~ horizontal_5_2 ),
inference(cnf_transformation,[status(esa)],[f155_sk]) ).
cnf(p506,plain,
( ~ vertical_4_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_5_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p377,c155]) ).
cnf(p687,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_5_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p506,c23]) ).
cnf(p1006,plain,
( vertical_3_3
| horizontal_4_2
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_5_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p687]) ).
cnf(p1279,plain,
( vertical_3_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_5_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1006]) ).
cnf(p1281,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_5_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1279]) ).
cnf(f141,negated_conjecture,
( ~ vertical_5_1
| ~ horizontal_5_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_5_1) ).
fof(f141_nnf,plain,
( ~ vertical_5_1
| ~ horizontal_5_1 ),
inference(nnf_transformation,[status(thm)],[f141]) ).
fof(f141_sk,plain,
( ~ vertical_5_1
| ~ horizontal_5_1 ),
inference(skolemisation,[status(esa)],[f141_nnf]) ).
cnf(c141,plain,
( ~ vertical_5_1
| ~ horizontal_5_1 ),
inference(cnf_transformation,[status(esa)],[f141_sk]) ).
cnf(p1285,plain,
( ~ vertical_5_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1281,c141]) ).
cnf(p1286,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| horizontal_6_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1285,p256]) ).
cnf(p1642,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1286]) ).
cnf(p2061,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1642]) ).
cnf(p2539,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2061]) ).
cnf(p2917,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2539]) ).
cnf(p2922,plain,
( vertical_3_3
| horizontal_4_2
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2917]) ).
cnf(p2925,plain,
( vertical_3_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2922]) ).
cnf(p2927,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2925]) ).
cnf(p230,plain,
( vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_5_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p206,p184]) ).
cnf(p264,plain,
( ~ vertical_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p230,c154]) ).
cnf(p308,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p264,c23]) ).
cnf(p384,plain,
( ~ vertical_4_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_5_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p308,c155]) ).
cnf(p527,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_5_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p384,c23]) ).
cnf(p741,plain,
( vertical_3_3
| horizontal_4_2
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_5_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p527]) ).
cnf(p846,plain,
( vertical_3_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_5_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p741]) ).
cnf(p848,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_5_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p846]) ).
cnf(p849,plain,
( ~ vertical_5_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p848,c141]) ).
cnf(p851,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| horizontal_6_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p849,p235]) ).
cnf(p1229,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p851]) ).
cnf(p1557,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1229]) ).
cnf(p1727,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1557]) ).
cnf(p1731,plain,
( vertical_3_3
| horizontal_4_2
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1727]) ).
cnf(p1734,plain,
( vertical_3_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1731]) ).
cnf(p1736,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1734]) ).
cnf(p1741,plain,
( ~ horizontal_4_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1736,c138]) ).
cnf(p2930,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_4_2
| horizontal_6_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2927,p1741]) ).
cnf(p3520,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_4_2
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2930]) ).
cnf(p3958,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3520]) ).
cnf(p3962,plain,
( vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3958]) ).
cnf(p3971,plain,
( vertical_3_3
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3962]) ).
cnf(p3973,plain,
( vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3971]) ).
cnf(p3974,plain,
( ~ vertical_4_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3973,c126]) ).
cnf(p216,plain,
( ~ vertical_5_2
| vertical_4_4
| horizontal_5_3
| horizontal_5_4
| vertical_5_3 ),
inference(resolution,[status(thm)],[p198,c173]) ).
cnf(p227,plain,
( vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_4
| horizontal_5_3
| horizontal_5_4
| vertical_5_3 ),
inference(resolution,[status(thm)],[p216,c28]) ).
cnf(p228,plain,
( ~ horizontal_5_4
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_5_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p206,c165]) ).
cnf(p260,plain,
( vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_5_3
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_4
| horizontal_5_3
| vertical_5_3 ),
inference(resolution,[status(thm)],[p227,p228]) ).
cnf(p322,plain,
( vertical_4_2
| horizontal_5_1
| horizontal_5_2
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_4
| horizontal_5_3
| vertical_5_3 ),
inference(factoring,[status(thm)],[p260]) ).
cnf(p408,plain,
( vertical_4_2
| horizontal_5_1
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_4
| horizontal_5_3
| vertical_5_3 ),
inference(factoring,[status(thm)],[p322]) ).
cnf(p533,plain,
( vertical_4_2
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_4
| horizontal_5_3
| vertical_5_3 ),
inference(factoring,[status(thm)],[p408]) ).
cnf(p535,plain,
( horizontal_6_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_4
| horizontal_5_3
| vertical_5_3 ),
inference(factoring,[status(thm)],[p533]) ).
cnf(p536,plain,
( ~ vertical_4_3
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_4
| horizontal_5_3 ),
inference(resolution,[status(thm)],[p535,c154]) ).
cnf(p537,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_4
| horizontal_5_3 ),
inference(resolution,[status(thm)],[p536,c23]) ).
cnf(p598,plain,
( ~ vertical_4_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_4 ),
inference(resolution,[status(thm)],[p537,c152]) ).
cnf(p624,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_4 ),
inference(resolution,[status(thm)],[p598,c23]) ).
cnf(p923,plain,
( vertical_3_3
| horizontal_4_2
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_4 ),
inference(factoring,[status(thm)],[p624]) ).
cnf(p1019,plain,
( vertical_3_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_4 ),
inference(factoring,[status(thm)],[p923]) ).
cnf(p1021,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_4 ),
inference(factoring,[status(thm)],[p1019]) ).
cnf(p1028,plain,
( ~ vertical_4_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| vertical_4_4 ),
inference(resolution,[status(thm)],[p1021,c155]) ).
cnf(p1029,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| vertical_4_4 ),
inference(resolution,[status(thm)],[p1028,c23]) ).
cnf(p1119,plain,
( vertical_3_3
| horizontal_4_2
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| vertical_4_4 ),
inference(factoring,[status(thm)],[p1029]) ).
cnf(p1122,plain,
( vertical_3_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| vertical_4_4 ),
inference(factoring,[status(thm)],[p1119]) ).
cnf(p1124,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| vertical_4_4 ),
inference(factoring,[status(thm)],[p1122]) ).
cnf(p1126,plain,
( ~ vertical_5_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| vertical_4_4 ),
inference(resolution,[status(thm)],[p1124,c141]) ).
cnf(p1127,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_4
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| vertical_4_4 ),
inference(resolution,[status(thm)],[p1126,p482]) ).
cnf(p1389,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| vertical_4_4 ),
inference(factoring,[status(thm)],[p1127]) ).
cnf(p1394,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| vertical_4_4 ),
inference(factoring,[status(thm)],[p1389]) ).
cnf(p1402,plain,
( vertical_3_3
| horizontal_4_2
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| vertical_4_4 ),
inference(factoring,[status(thm)],[p1394]) ).
cnf(p1405,plain,
( vertical_3_3
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| vertical_4_4 ),
inference(factoring,[status(thm)],[p1402]) ).
cnf(p1407,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| vertical_4_4 ),
inference(factoring,[status(thm)],[p1405]) ).
cnf(p3975,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3974,p1407]) ).
cnf(p4343,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_2
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3975]) ).
cnf(p4348,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4343]) ).
cnf(p4352,plain,
( vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4348]) ).
cnf(p4355,plain,
( vertical_3_3
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4352]) ).
cnf(p4364,plain,
( vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4355]) ).
cnf(p461,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| horizontal_6_5
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p457,p253]) ).
cnf(p626,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p461]) ).
cnf(p930,plain,
( vertical_3_5
| horizontal_4_4
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p626]) ).
cnf(p1030,plain,
( vertical_3_5
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p930]) ).
cnf(p1033,plain,
( vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1030]) ).
cnf(p458,plain,
( ~ horizontal_5_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p453,c151]) ).
cnf(p1035,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1033,p458]) ).
cnf(p1334,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| vertical_4_2
| horizontal_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1035]) ).
cnf(p1550,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| horizontal_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1334]) ).
cnf(p1554,plain,
( vertical_3_5
| horizontal_4_4
| vertical_4_2
| horizontal_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1550]) ).
cnf(p1562,plain,
( vertical_3_5
| vertical_4_2
| horizontal_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1554]) ).
cnf(p1564,plain,
( vertical_4_2
| horizontal_5_1
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1562]) ).
cnf(p1565,plain,
( ~ vertical_5_1
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1564,c141]) ).
cnf(p1566,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1565,p637]) ).
cnf(p1753,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1566]) ).
cnf(p1758,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1753]) ).
cnf(p1762,plain,
( vertical_3_5
| horizontal_4_4
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1758]) ).
cnf(p1768,plain,
( vertical_3_5
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1762]) ).
cnf(p1770,plain,
( vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1768]) ).
cnf(p295,plain,
( vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| horizontal_6_5
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p291,p230]) ).
cnf(p360,plain,
( vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p295]) ).
cnf(p477,plain,
( vertical_4_6
| vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p360]) ).
cnf(p509,plain,
( vertical_4_2
| horizontal_5_1
| horizontal_5_2
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p477]) ).
cnf(p292,plain,
( ~ horizontal_5_2
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p288,c151]) ).
cnf(p514,plain,
( vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5
| vertical_4_2
| horizontal_5_1
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p509,p292]) ).
cnf(p695,plain,
( vertical_4_6
| vertical_5_6
| vertical_4_4
| vertical_4_2
| horizontal_5_1
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p514]) ).
cnf(p699,plain,
( vertical_4_6
| vertical_5_6
| vertical_4_2
| horizontal_5_1
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p695]) ).
cnf(p702,plain,
( vertical_4_6
| vertical_4_2
| horizontal_5_1
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p699]) ).
cnf(p704,plain,
( vertical_4_2
| horizontal_5_1
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p702]) ).
cnf(p711,plain,
( ~ vertical_5_1
| vertical_4_2
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p704,c141]) ).
cnf(p712,plain,
( vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5
| vertical_4_2
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p711,p359]) ).
cnf(p713,plain,
( vertical_4_6
| vertical_5_6
| vertical_4_4
| vertical_4_2
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p712]) ).
cnf(p717,plain,
( vertical_4_6
| vertical_5_6
| vertical_4_2
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p713]) ).
cnf(p723,plain,
( vertical_4_6
| vertical_4_2
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p717]) ).
cnf(p725,plain,
( vertical_4_2
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p723]) ).
cnf(p726,plain,
( ~ horizontal_4_5
| vertical_4_2
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p725,c138]) ).
cnf(p1773,plain,
( vertical_4_2
| vertical_5_6
| vertical_4_4
| horizontal_6_5
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1770,p726]) ).
cnf(p1785,plain,
( vertical_4_2
| vertical_5_6
| vertical_4_4
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1773]) ).
cnf(p1788,plain,
( vertical_4_2
| vertical_5_6
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1785]) ).
cnf(p1790,plain,
( vertical_5_6
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1788]) ).
cnf(p1791,plain,
( ~ horizontal_4_3
| vertical_5_6
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1790,c129]) ).
cnf(p4367,plain,
( vertical_5_6
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_6_5
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4364,p1791]) ).
cnf(p4374,plain,
( vertical_5_6
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4367]) ).
cnf(p4378,plain,
( vertical_5_6
| vertical_3_5
| horizontal_4_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4374]) ).
cnf(p4381,plain,
( vertical_5_6
| horizontal_4_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4378]) ).
cnf(p4383,plain,
( horizontal_4_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4381]) ).
cnf(p4387,plain,
( ~ horizontal_4_3
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4383,c127]) ).
cnf(p4388,plain,
( vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4387,p4364]) ).
cnf(p4693,plain,
( vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4388]) ).
cnf(p4699,plain,
( vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4693]) ).
cnf(p4704,plain,
( vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4699]) ).
cnf(p4716,plain,
( vertical_5_6
| vertical_3_3
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4704]) ).
cnf(p4719,plain,
( vertical_5_6
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4716]) ).
cnf(p4721,plain,
( vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4719]) ).
cnf(f117,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_4_2) ).
fof(f117_nnf,plain,
( ~ horizontal_4_1
| ~ vertical_4_2 ),
inference(nnf_transformation,[status(thm)],[f117]) ).
fof(f117_sk,plain,
( ~ horizontal_4_1
| ~ vertical_4_2 ),
inference(skolemisation,[status(esa)],[f117_nnf]) ).
cnf(c117,plain,
( ~ horizontal_4_1
| ~ vertical_4_2 ),
inference(cnf_transformation,[status(esa)],[f117_sk]) ).
cnf(p4722,plain,
( ~ horizontal_4_1
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4721,c117]) ).
cnf(p5771,plain,
( vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5
| vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5763,p4722]) ).
cnf(p5772,plain,
( vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5771]) ).
cnf(p5779,plain,
( vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5772]) ).
cnf(p5782,plain,
( vertical_5_6
| horizontal_4_2
| vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5779]) ).
cnf(p5784,plain,
( horizontal_4_2
| vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5782]) ).
cnf(f115,negated_conjecture,
( ~ horizontal_4_1
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_4_2) ).
fof(f115_nnf,plain,
( ~ horizontal_4_1
| ~ horizontal_4_2 ),
inference(nnf_transformation,[status(thm)],[f115]) ).
fof(f115_sk,plain,
( ~ horizontal_4_1
| ~ horizontal_4_2 ),
inference(skolemisation,[status(esa)],[f115_nnf]) ).
cnf(c115,plain,
( ~ horizontal_4_1
| ~ horizontal_4_2 ),
inference(cnf_transformation,[status(esa)],[f115_sk]) ).
cnf(p5786,plain,
( ~ horizontal_4_1
| vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5784,c115]) ).
cnf(p5790,plain,
( vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5
| vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5786,p5763]) ).
cnf(p5791,plain,
( vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5790]) ).
cnf(p5796,plain,
( vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5791]) ).
cnf(p5805,plain,
( vertical_5_6
| vertical_3_1
| vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5796]) ).
cnf(p5808,plain,
( vertical_5_6
| vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5805]) ).
cnf(p5810,plain,
( vertical_5_6
| vertical_3_1
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5808]) ).
cnf(f106,negated_conjecture,
( ~ vertical_2_5
| ~ vertical_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_3_5) ).
fof(f106_nnf,plain,
( ~ vertical_2_5
| ~ vertical_3_5 ),
inference(nnf_transformation,[status(thm)],[f106]) ).
fof(f106_sk,plain,
( ~ vertical_2_5
| ~ vertical_3_5 ),
inference(skolemisation,[status(esa)],[f106_nnf]) ).
cnf(c106,plain,
( ~ vertical_2_5
| ~ vertical_3_5 ),
inference(cnf_transformation,[status(esa)],[f106_sk]) ).
cnf(p5812,plain,
( ~ vertical_2_5
| vertical_5_6
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5810,c106]) ).
cnf(f13,negated_conjecture,
( vertical_1_5
| horizontal_2_4
| vertical_2_5
| horizontal_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_2_5) ).
fof(f13_nnf,plain,
( vertical_1_5
| horizontal_2_4
| vertical_2_5
| horizontal_2_5 ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
( vertical_1_5
| horizontal_2_4
| vertical_2_5
| horizontal_2_5 ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( vertical_1_5
| horizontal_2_4
| vertical_2_5
| horizontal_2_5 ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p5821,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5812,c13]) ).
cnf(f130,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_4_4) ).
fof(f130_nnf,plain,
( ~ vertical_3_4
| ~ vertical_4_4 ),
inference(nnf_transformation,[status(thm)],[f130]) ).
fof(f130_sk,plain,
( ~ vertical_3_4
| ~ vertical_4_4 ),
inference(skolemisation,[status(esa)],[f130_nnf]) ).
cnf(c130,plain,
( ~ vertical_3_4
| ~ vertical_4_4 ),
inference(cnf_transformation,[status(esa)],[f130_sk]) ).
cnf(p1792,plain,
( ~ vertical_3_4
| vertical_5_6
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1790,c130]) ).
cnf(f18,negated_conjecture,
( vertical_2_4
| horizontal_3_3
| vertical_3_4
| horizontal_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_3_4) ).
fof(f18_nnf,plain,
( vertical_2_4
| horizontal_3_3
| vertical_3_4
| horizontal_3_4 ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( vertical_2_4
| horizontal_3_3
| vertical_3_4
| horizontal_3_4 ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( vertical_2_4
| horizontal_3_3
| vertical_3_4
| horizontal_3_4 ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p1797,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_4_2
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1792,c18]) ).
cnf(f128,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_4_4) ).
fof(f128_nnf,plain,
( ~ vertical_3_4
| ~ horizontal_4_4 ),
inference(nnf_transformation,[status(thm)],[f128]) ).
fof(f128_sk,plain,
( ~ vertical_3_4
| ~ horizontal_4_4 ),
inference(skolemisation,[status(esa)],[f128_nnf]) ).
cnf(c128,plain,
( ~ vertical_3_4
| ~ horizontal_4_4 ),
inference(cnf_transformation,[status(esa)],[f128_sk]) ).
cnf(p1800,plain,
( ~ vertical_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1797,c128]) ).
cnf(p1805,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1800,c18]) ).
cnf(p1814,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1805]) ).
cnf(p1817,plain,
( vertical_2_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1814]) ).
cnf(p1826,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1817]) ).
cnf(p1827,plain,
( ~ horizontal_4_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1826,c117]) ).
cnf(p1050,plain,
( ~ vertical_3_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1048,c130]) ).
cnf(p1051,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1050,c18]) ).
cnf(p1061,plain,
( ~ vertical_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1051,c128]) ).
cnf(p1062,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1061,c18]) ).
cnf(p1314,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1062]) ).
cnf(p1320,plain,
( vertical_2_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1314]) ).
cnf(p1322,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1320]) ).
cnf(p1829,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_1
| vertical_3_5
| horizontal_6_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1827,p1322]) ).
cnf(p2229,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_1
| vertical_3_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1829]) ).
cnf(p2610,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2229]) ).
cnf(p2615,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2610]) ).
cnf(p2621,plain,
( vertical_2_4
| horizontal_3_3
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2615]) ).
cnf(p2624,plain,
( vertical_2_4
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2621]) ).
cnf(p2626,plain,
( vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2624]) ).
cnf(p2627,plain,
( ~ vertical_2_5
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2626,c106]) ).
cnf(p2637,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2627,c13]) ).
cnf(f107,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_3_5) ).
fof(f107_nnf,plain,
( ~ vertical_2_5
| ~ horizontal_3_4 ),
inference(nnf_transformation,[status(thm)],[f107]) ).
fof(f107_sk,plain,
( ~ vertical_2_5
| ~ horizontal_3_4 ),
inference(skolemisation,[status(esa)],[f107_nnf]) ).
cnf(c107,plain,
( ~ vertical_2_5
| ~ horizontal_3_4 ),
inference(cnf_transformation,[status(esa)],[f107_sk]) ).
cnf(p2639,plain,
( ~ vertical_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2637,c107]) ).
cnf(p2640,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2639,c13]) ).
cnf(p2644,plain,
( vertical_1_5
| horizontal_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2640]) ).
cnf(p2647,plain,
( vertical_1_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2644]) ).
cnf(p2649,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2647]) ).
cnf(f90,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_3_3) ).
fof(f90_nnf,plain,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
inference(nnf_transformation,[status(thm)],[f90]) ).
fof(f90_sk,plain,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
inference(skolemisation,[status(esa)],[f90_nnf]) ).
cnf(c90,plain,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
inference(cnf_transformation,[status(esa)],[f90_sk]) ).
cnf(p2650,plain,
( ~ vertical_3_3
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2649,c90]) ).
cnf(p5824,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5821,p2650]) ).
cnf(p6450,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| vertical_5_6
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5824]) ).
cnf(p6935,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_5_6
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6450]) ).
cnf(p6940,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6935]) ).
cnf(p6945,plain,
( vertical_1_5
| horizontal_2_4
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6940]) ).
cnf(p6948,plain,
( vertical_1_5
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6945]) ).
cnf(p6950,plain,
( vertical_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6948]) ).
cnf(f83,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_3_1) ).
fof(f83_nnf,plain,
( ~ vertical_2_1
| ~ vertical_3_1 ),
inference(nnf_transformation,[status(thm)],[f83]) ).
fof(f83_sk,plain,
( ~ vertical_2_1
| ~ vertical_3_1 ),
inference(skolemisation,[status(esa)],[f83_nnf]) ).
cnf(c83,plain,
( ~ vertical_2_1
| ~ vertical_3_1 ),
inference(cnf_transformation,[status(esa)],[f83_sk]) ).
cnf(p6951,plain,
( ~ vertical_2_1
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6950,c83]) ).
cnf(f9,negated_conjecture,
( vertical_1_1
| vertical_2_1
| horizontal_2_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_2_1) ).
fof(f9_nnf,plain,
( vertical_1_1
| vertical_2_1
| horizontal_2_1 ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
( vertical_1_1
| vertical_2_1
| horizontal_2_1 ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( vertical_1_1
| vertical_2_1
| horizontal_2_1 ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p6962,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6951,c9]) ).
cnf(f139,negated_conjecture,
( ~ vertical_3_6
| ~ vertical_4_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_4_6) ).
fof(f139_nnf,plain,
( ~ vertical_3_6
| ~ vertical_4_6 ),
inference(nnf_transformation,[status(thm)],[f139]) ).
fof(f139_sk,plain,
( ~ vertical_3_6
| ~ vertical_4_6 ),
inference(skolemisation,[status(esa)],[f139_nnf]) ).
cnf(c139,plain,
( ~ vertical_3_6
| ~ vertical_4_6 ),
inference(cnf_transformation,[status(esa)],[f139_sk]) ).
cnf(p382,plain,
( ~ vertical_3_6
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p313,c139]) ).
cnf(f20,negated_conjecture,
( vertical_2_6
| horizontal_3_5
| vertical_3_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_3_6) ).
fof(f20_nnf,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_6 ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_6 ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_6 ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p467,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p382,c20]) ).
cnf(p367,plain,
( ~ vertical_3_6
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p365,c139]) ).
cnf(p371,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p367,c20]) ).
cnf(p372,plain,
( ~ horizontal_4_3
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p371,c129]) ).
cnf(p560,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| horizontal_6_5
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p467,p372]) ).
cnf(p797,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p560]) ).
cnf(p1108,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p797]) ).
cnf(p1398,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1108]) ).
cnf(p1618,plain,
( vertical_2_6
| horizontal_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1398]) ).
cnf(p1621,plain,
( vertical_2_6
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1618]) ).
cnf(p1626,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1621]) ).
cnf(p1627,plain,
( ~ vertical_4_2
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1626,c114]) ).
cnf(p436,plain,
( ~ vertical_3_6
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p434,c139]) ).
cnf(p438,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p436,c20]) ).
cnf(p1628,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| horizontal_6_5
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1627,p438]) ).
cnf(p2028,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1628]) ).
cnf(p2486,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2028]) ).
cnf(p2506,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2486]) ).
cnf(p2510,plain,
( vertical_2_6
| horizontal_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2506]) ).
cnf(p2517,plain,
( vertical_2_6
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2510]) ).
cnf(p2519,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2517]) ).
cnf(p1742,plain,
( ~ vertical_3_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1736,c139]) ).
cnf(p1745,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1742,c20]) ).
cnf(p727,plain,
( ~ vertical_3_6
| vertical_4_2
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p725,c139]) ).
cnf(p735,plain,
( vertical_2_6
| horizontal_3_5
| vertical_4_2
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p727,c20]) ).
cnf(p736,plain,
( ~ horizontal_4_3
| vertical_2_6
| horizontal_3_5
| vertical_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p735,c129]) ).
cnf(p1747,plain,
( vertical_2_6
| horizontal_3_5
| vertical_4_2
| vertical_5_6
| horizontal_6_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1745,p736]) ).
cnf(p2177,plain,
( vertical_2_6
| horizontal_3_5
| vertical_4_2
| vertical_5_6
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1747]) ).
cnf(p2199,plain,
( vertical_2_6
| horizontal_3_5
| vertical_5_6
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2177]) ).
cnf(p2206,plain,
( vertical_2_6
| horizontal_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2199]) ).
cnf(p2209,plain,
( vertical_2_6
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2206]) ).
cnf(p2211,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2209]) ).
cnf(p2212,plain,
( ~ horizontal_4_1
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2211,c117]) ).
cnf(p2522,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2519,p2212]) ).
cnf(p2856,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2522]) ).
cnf(p2861,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2856]) ).
cnf(p2866,plain,
( vertical_2_6
| horizontal_3_5
| horizontal_4_2
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2861]) ).
cnf(p2869,plain,
( vertical_2_6
| horizontal_4_2
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2866]) ).
cnf(p2871,plain,
( horizontal_4_2
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2869]) ).
cnf(p2873,plain,
( ~ horizontal_4_1
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2871,c115]) ).
cnf(p2880,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2873,p2519]) ).
cnf(p3363,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2880]) ).
cnf(p3369,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3363]) ).
cnf(p3374,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3369]) ).
cnf(p3378,plain,
( vertical_2_6
| horizontal_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3374]) ).
cnf(p3384,plain,
( vertical_2_6
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3378]) ).
cnf(p3386,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3384]) ).
cnf(f102,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_3_5) ).
fof(f102_nnf,plain,
( ~ vertical_3_5
| ~ horizontal_3_5 ),
inference(nnf_transformation,[status(thm)],[f102]) ).
fof(f102_sk,plain,
( ~ vertical_3_5
| ~ horizontal_3_5 ),
inference(skolemisation,[status(esa)],[f102_nnf]) ).
cnf(c102,plain,
( ~ vertical_3_5
| ~ horizontal_3_5 ),
inference(cnf_transformation,[status(esa)],[f102_sk]) ).
cnf(p3387,plain,
( ~ vertical_3_5
| vertical_2_6
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3386,c102]) ).
cnf(p5813,plain,
( vertical_2_6
| vertical_3_1
| vertical_3_3
| vertical_5_6
| horizontal_6_5
| vertical_5_6
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5810,p3387]) ).
cnf(p5829,plain,
( vertical_2_6
| vertical_3_1
| vertical_3_3
| vertical_5_6
| vertical_5_6
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5813]) ).
cnf(p5833,plain,
( vertical_2_6
| vertical_3_1
| vertical_5_6
| vertical_5_6
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5829]) ).
cnf(p5836,plain,
( vertical_2_6
| vertical_5_6
| vertical_5_6
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5833]) ).
cnf(p5842,plain,
( vertical_2_6
| vertical_5_6
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5836]) ).
cnf(p737,plain,
( ~ vertical_3_4
| vertical_2_6
| horizontal_3_5
| vertical_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p735,c130]) ).
cnf(p740,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p737,c18]) ).
cnf(p744,plain,
( ~ horizontal_4_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p740,c117]) ).
cnf(p373,plain,
( ~ vertical_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p371,c130]) ).
cnf(p375,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p373,c18]) ).
cnf(p746,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_5_6
| horizontal_6_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p744,p375]) ).
cnf(p1052,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_5_6
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p746]) ).
cnf(p1359,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1052]) ).
cnf(p1722,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1359]) ).
cnf(p2150,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1722]) ).
cnf(p2190,plain,
( vertical_2_4
| horizontal_3_3
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2150]) ).
cnf(p2193,plain,
( vertical_2_4
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2190]) ).
cnf(p2195,plain,
( vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2193]) ).
cnf(p2197,plain,
( ~ vertical_3_5
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2195,c102]) ).
cnf(p2628,plain,
( vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_5_6
| horizontal_6_5
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2626,p2197]) ).
cnf(p3117,plain,
( vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_5_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2628]) ).
cnf(p3462,plain,
( vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3117]) ).
cnf(p3467,plain,
( vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3462]) ).
cnf(p3471,plain,
( vertical_3_1
| vertical_2_4
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3467]) ).
cnf(p3477,plain,
( vertical_3_1
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3471]) ).
cnf(p3479,plain,
( vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3477]) ).
cnf(f164,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_5_5) ).
fof(f164_nnf,plain,
( ~ vertical_4_5
| ~ horizontal_5_5 ),
inference(nnf_transformation,[status(thm)],[f164]) ).
fof(f164_sk,plain,
( ~ vertical_4_5
| ~ horizontal_5_5 ),
inference(skolemisation,[status(esa)],[f164_nnf]) ).
cnf(c164,plain,
( ~ vertical_4_5
| ~ horizontal_5_5 ),
inference(cnf_transformation,[status(esa)],[f164_sk]) ).
cnf(p186,plain,
( vertical_4_6
| vertical_5_6
| ~ vertical_4_5 ),
inference(resolution,[status(thm)],[c164,c32]) ).
cnf(p194,plain,
( vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_6
| vertical_5_6 ),
inference(resolution,[status(thm)],[p186,c25]) ).
cnf(p201,plain,
( ~ vertical_3_6
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_5_6 ),
inference(resolution,[status(thm)],[p194,c139]) ).
cnf(p219,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_5_6 ),
inference(resolution,[status(thm)],[p201,c20]) ).
cnf(f140,negated_conjecture,
( ~ vertical_3_6
| ~ horizontal_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_6) ).
fof(f140_nnf,plain,
( ~ vertical_3_6
| ~ horizontal_4_5 ),
inference(nnf_transformation,[status(thm)],[f140]) ).
fof(f140_sk,plain,
( ~ vertical_3_6
| ~ horizontal_4_5 ),
inference(skolemisation,[status(esa)],[f140_nnf]) ).
cnf(c140,plain,
( ~ vertical_3_6
| ~ horizontal_4_5 ),
inference(cnf_transformation,[status(esa)],[f140_sk]) ).
cnf(p246,plain,
( ~ vertical_3_6
| vertical_2_6
| horizontal_3_5
| vertical_3_5
| horizontal_4_4
| vertical_5_6 ),
inference(resolution,[status(thm)],[p219,c140]) ).
cnf(p263,plain,
( vertical_2_6
| horizontal_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_5
| horizontal_4_4
| vertical_5_6 ),
inference(resolution,[status(thm)],[p246,c20]) ).
cnf(p299,plain,
( vertical_2_6
| vertical_2_6
| horizontal_3_5
| vertical_3_5
| horizontal_4_4
| vertical_5_6 ),
inference(factoring,[status(thm)],[p263]) ).
cnf(p302,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_5
| horizontal_4_4
| vertical_5_6 ),
inference(factoring,[status(thm)],[p299]) ).
cnf(p303,plain,
( ~ vertical_4_4
| vertical_2_6
| horizontal_3_5
| vertical_3_5
| vertical_5_6 ),
inference(resolution,[status(thm)],[p302,c126]) ).
cnf(p738,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_5
| vertical_5_6
| vertical_2_6
| horizontal_3_5
| vertical_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p735,p303]) ).
cnf(p756,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p738]) ).
cnf(p759,plain,
( vertical_2_6
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p756]) ).
cnf(p761,plain,
( vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p759]) ).
cnf(p762,plain,
( ~ horizontal_4_1
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p761,c117]) ).
cnf(p374,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_5
| vertical_5_6
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p371,p303]) ).
cnf(p483,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p374]) ).
cnf(p571,plain,
( vertical_2_6
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p483]) ).
cnf(p573,plain,
( vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p571]) ).
cnf(p764,plain,
( vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_5_6
| horizontal_6_5
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p762,p573]) ).
cnf(p1063,plain,
( vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_5_6
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p764]) ).
cnf(p1135,plain,
( vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1063]) ).
cnf(p1139,plain,
( vertical_3_5
| vertical_2_6
| vertical_3_1
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1135]) ).
cnf(p1142,plain,
( vertical_3_5
| vertical_3_1
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1139]) ).
cnf(p1147,plain,
( vertical_3_1
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1142]) ).
cnf(f105,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_3_5) ).
fof(f105_nnf,plain,
( ~ horizontal_3_4
| ~ vertical_3_5 ),
inference(nnf_transformation,[status(thm)],[f105]) ).
fof(f105_sk,plain,
( ~ horizontal_3_4
| ~ vertical_3_5 ),
inference(skolemisation,[status(esa)],[f105_nnf]) ).
cnf(c105,plain,
( ~ horizontal_3_4
| ~ vertical_3_5 ),
inference(cnf_transformation,[status(esa)],[f105_sk]) ).
cnf(p1148,plain,
( ~ horizontal_3_4
| vertical_3_1
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1147,c105]) ).
cnf(p3482,plain,
( vertical_3_1
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3479,p1148]) ).
cnf(p3491,plain,
( vertical_3_1
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3482]) ).
cnf(p3495,plain,
( vertical_3_1
| vertical_2_6
| horizontal_3_5
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3491]) ).
cnf(p3498,plain,
( vertical_2_6
| horizontal_3_5
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3495]) ).
cnf(p3508,plain,
( horizontal_3_5
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3498]) ).
cnf(f103,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_3_5) ).
fof(f103_nnf,plain,
( ~ horizontal_3_4
| ~ horizontal_3_5 ),
inference(nnf_transformation,[status(thm)],[f103]) ).
fof(f103_sk,plain,
( ~ horizontal_3_4
| ~ horizontal_3_5 ),
inference(skolemisation,[status(esa)],[f103_nnf]) ).
cnf(c103,plain,
( ~ horizontal_3_4
| ~ horizontal_3_5 ),
inference(cnf_transformation,[status(esa)],[f103_sk]) ).
cnf(p3510,plain,
( ~ horizontal_3_4
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3508,c103]) ).
cnf(p3511,plain,
( vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3510,p3479]) ).
cnf(p3838,plain,
( vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3511]) ).
cnf(p3844,plain,
( vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3838]) ).
cnf(p3849,plain,
( vertical_2_6
| vertical_3_1
| vertical_2_4
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3844]) ).
cnf(p3858,plain,
( vertical_2_6
| vertical_3_1
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3849]) ).
cnf(p3861,plain,
( vertical_2_6
| vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3858]) ).
cnf(p3863,plain,
( vertical_2_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3861]) ).
cnf(p3864,plain,
( ~ vertical_3_3
| vertical_2_6
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3863,c90]) ).
cnf(p5845,plain,
( vertical_2_6
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5
| vertical_2_6
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5842,p3864]) ).
cnf(p5898,plain,
( vertical_2_6
| vertical_3_1
| vertical_2_4
| vertical_5_6
| vertical_2_6
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5845]) ).
cnf(p5904,plain,
( vertical_2_6
| vertical_2_4
| vertical_5_6
| vertical_2_6
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5898]) ).
cnf(p5907,plain,
( vertical_2_6
| vertical_2_4
| vertical_2_6
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5904]) ).
cnf(p5909,plain,
( vertical_2_4
| vertical_2_6
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5907]) ).
cnf(p5910,plain,
( ~ vertical_2_1
| vertical_2_4
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5909,c83]) ).
cnf(p5916,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5910,c9]) ).
cnf(f78,negated_conjecture,
( ~ horizontal_2_5
| ~ vertical_2_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_2_6) ).
fof(f78_nnf,plain,
( ~ horizontal_2_5
| ~ vertical_2_6 ),
inference(nnf_transformation,[status(thm)],[f78]) ).
fof(f78_sk,plain,
( ~ horizontal_2_5
| ~ vertical_2_6 ),
inference(skolemisation,[status(esa)],[f78_nnf]) ).
cnf(c78,plain,
( ~ horizontal_2_5
| ~ vertical_2_6 ),
inference(cnf_transformation,[status(esa)],[f78_sk]) ).
cnf(p5917,plain,
( ~ horizontal_2_5
| vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5916,c78]) ).
cnf(p6964,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5
| vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6962,p5917]) ).
cnf(p7217,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_5_6
| vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6964]) ).
cnf(p7224,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7217]) ).
cnf(p7228,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7224]) ).
cnf(p7231,plain,
( vertical_1_1
| vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7228]) ).
cnf(p7233,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7231]) ).
cnf(f70,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_2_4) ).
fof(f70_nnf,plain,
( ~ vertical_1_4
| ~ vertical_2_4 ),
inference(nnf_transformation,[status(thm)],[f70]) ).
fof(f70_sk,plain,
( ~ vertical_1_4
| ~ vertical_2_4 ),
inference(skolemisation,[status(esa)],[f70_nnf]) ).
cnf(c70,plain,
( ~ vertical_1_4
| ~ vertical_2_4 ),
inference(cnf_transformation,[status(esa)],[f70_sk]) ).
cnf(p7237,plain,
( ~ vertical_1_4
| vertical_1_1
| horizontal_2_1
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7233,c70]) ).
cnf(f6,negated_conjecture,
( horizontal_1_3
| vertical_1_4
| horizontal_1_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_1_4) ).
fof(f6_nnf,plain,
( horizontal_1_3
| vertical_1_4
| horizontal_1_4 ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( horizontal_1_3
| vertical_1_4
| horizontal_1_4 ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( horizontal_1_3
| vertical_1_4
| horizontal_1_4 ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p7238,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_1
| horizontal_2_1
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7237,c6]) ).
cnf(f68,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_2_4) ).
fof(f68_nnf,plain,
( ~ vertical_1_4
| ~ horizontal_2_4 ),
inference(nnf_transformation,[status(thm)],[f68]) ).
fof(f68_sk,plain,
( ~ vertical_1_4
| ~ horizontal_2_4 ),
inference(skolemisation,[status(esa)],[f68_nnf]) ).
cnf(c68,plain,
( ~ vertical_1_4
| ~ horizontal_2_4 ),
inference(cnf_transformation,[status(esa)],[f68_sk]) ).
cnf(p7241,plain,
( ~ vertical_1_4
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| horizontal_2_1
| vertical_1_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7238,c68]) ).
cnf(p7244,plain,
( horizontal_1_3
| horizontal_1_4
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| horizontal_2_1
| vertical_1_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7241,c6]) ).
cnf(p7245,plain,
( horizontal_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| horizontal_2_1
| vertical_1_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7244]) ).
cnf(p7252,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_1
| horizontal_2_1
| vertical_1_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7245]) ).
cnf(p293,plain,
( ~ vertical_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p288,c152]) ).
cnf(p296,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_6
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p293,c23]) ).
cnf(p335,plain,
( ~ vertical_3_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p296,c139]) ).
cnf(p348,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p335,c20]) ).
cnf(p447,plain,
( ~ vertical_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p348,c130]) ).
cnf(p476,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p447,c18]) ).
cnf(f131,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_4) ).
fof(f131_nnf,plain,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
inference(nnf_transformation,[status(thm)],[f131]) ).
fof(f131_sk,plain,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
inference(skolemisation,[status(esa)],[f131_nnf]) ).
cnf(c131,plain,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
inference(cnf_transformation,[status(esa)],[f131_sk]) ).
cnf(p660,plain,
( ~ vertical_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p476,c131]) ).
cnf(p827,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p660,c18]) ).
cnf(p1166,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p827]) ).
cnf(p1457,plain,
( vertical_2_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1166]) ).
cnf(p1459,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1457]) ).
cnf(p1460,plain,
( ~ vertical_4_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1459,c114]) ).
cnf(p1461,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1460,p740]) ).
cnf(p1819,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1461]) ).
cnf(p2221,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1819]) ).
cnf(p2729,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2221]) ).
cnf(p3210,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2729]) ).
cnf(p3214,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3210]) ).
cnf(p3222,plain,
( vertical_2_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3214]) ).
cnf(p3224,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3222]) ).
cnf(p3225,plain,
( ~ vertical_3_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3224,c102]) ).
cnf(p459,plain,
( ~ vertical_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p453,c152]) ).
cnf(p462,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_4_5
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p459,c23]) ).
cnf(p334,plain,
( ~ horizontal_4_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p296,c138]) ).
cnf(p495,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_4_4
| horizontal_6_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p462,p334]) ).
cnf(p663,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_4_4
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p495]) ).
cnf(p971,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p663]) ).
cnf(p1262,plain,
( vertical_3_3
| horizontal_4_2
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p971]) ).
cnf(p1265,plain,
( vertical_3_3
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1262]) ).
cnf(p1270,plain,
( vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1265]) ).
cnf(p1271,plain,
( ~ vertical_3_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1270,c130]) ).
cnf(p1272,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_4_4
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1271,c18]) ).
cnf(p1274,plain,
( ~ vertical_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1272,c128]) ).
cnf(p1278,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1274,c18]) ).
cnf(p1632,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1278]) ).
cnf(p1871,plain,
( vertical_2_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1632]) ).
cnf(p1876,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1871]) ).
cnf(p1878,plain,
( ~ vertical_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1876,c131]) ).
cnf(p1879,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1878,c18]) ).
cnf(p2082,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1879]) ).
cnf(p2091,plain,
( vertical_2_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2082]) ).
cnf(p2093,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_4_2
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2091]) ).
cnf(p2094,plain,
( ~ vertical_4_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2093,c114]) ).
cnf(p2095,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_5
| horizontal_6_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2094,p1826]) ).
cnf(p2554,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2095]) ).
cnf(p2943,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2554]) ).
cnf(p2948,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2943]) ).
cnf(p2955,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2948]) ).
cnf(p2958,plain,
( vertical_2_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2955]) ).
cnf(p2960,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2958]) ).
cnf(p3226,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_6_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3225,p2960]) ).
cnf(p3784,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3226]) ).
cnf(p4145,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3784]) ).
cnf(p4150,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4145]) ).
cnf(p4154,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4150]) ).
cnf(p4157,plain,
( vertical_2_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4154]) ).
cnf(p4159,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4157]) ).
cnf(p448,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_5
| vertical_5_6
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p348,p303]) ).
cnf(p613,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p448]) ).
cnf(p808,plain,
( vertical_2_6
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p613]) ).
cnf(p814,plain,
( vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p808]) ).
cnf(p304,plain,
( ~ horizontal_4_3
| vertical_2_6
| horizontal_3_5
| vertical_3_5
| vertical_5_6 ),
inference(resolution,[status(thm)],[p302,c127]) ).
cnf(p816,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_5
| vertical_5_6
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p814,p304]) ).
cnf(p1130,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_5
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p816]) ).
cnf(p1170,plain,
( vertical_2_6
| vertical_3_5
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1130]) ).
cnf(p1175,plain,
( vertical_3_5
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1170]) ).
cnf(p1177,plain,
( vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| horizontal_4_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1175]) ).
cnf(p1178,plain,
( ~ vertical_4_2
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1177,c114]) ).
cnf(p1179,plain,
( vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1178,p761]) ).
cnf(p1462,plain,
( vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1179]) ).
cnf(p1467,plain,
( vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1462]) ).
cnf(p1471,plain,
( vertical_3_5
| vertical_2_6
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1467]) ).
cnf(p1476,plain,
( vertical_3_5
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1471]) ).
cnf(p1478,plain,
( vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1476]) ).
cnf(p1479,plain,
( ~ horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1478,c105]) ).
cnf(p4162,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4159,p1479]) ).
cnf(p4165,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4162]) ).
cnf(p4169,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4165]) ).
cnf(p4175,plain,
( vertical_2_6
| horizontal_3_5
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4169]) ).
cnf(p4177,plain,
( horizontal_3_5
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4175]) ).
cnf(p4179,plain,
( ~ horizontal_3_4
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4177,c103]) ).
cnf(p4182,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4179,p4159]) ).
cnf(p4494,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4182]) ).
cnf(p4500,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4494]) ).
cnf(p4505,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4500]) ).
cnf(p4509,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4505]) ).
cnf(p4517,plain,
( vertical_2_4
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4509]) ).
cnf(p4519,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4517]) ).
cnf(f94,negated_conjecture,
( ~ vertical_2_3
| ~ vertical_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_3_3) ).
fof(f94_nnf,plain,
( ~ vertical_2_3
| ~ vertical_3_3 ),
inference(nnf_transformation,[status(thm)],[f94]) ).
fof(f94_sk,plain,
( ~ vertical_2_3
| ~ vertical_3_3 ),
inference(skolemisation,[status(esa)],[f94_nnf]) ).
cnf(c94,plain,
( ~ vertical_2_3
| ~ vertical_3_3 ),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(p4521,plain,
( ~ vertical_2_3
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4519,c94]) ).
cnf(f11,negated_conjecture,
( vertical_1_3
| horizontal_2_2
| vertical_2_3
| horizontal_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_2_3) ).
fof(f11_nnf,plain,
( vertical_1_3
| horizontal_2_2
| vertical_2_3
| horizontal_2_3 ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( vertical_1_3
| horizontal_2_2
| vertical_2_3
| horizontal_2_3 ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( vertical_1_3
| horizontal_2_2
| vertical_2_3
| horizontal_2_3 ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p4527,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4521,c11]) ).
cnf(f92,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_3_3) ).
fof(f92_nnf,plain,
( ~ vertical_2_3
| ~ horizontal_3_3 ),
inference(nnf_transformation,[status(thm)],[f92]) ).
fof(f92_sk,plain,
( ~ vertical_2_3
| ~ horizontal_3_3 ),
inference(skolemisation,[status(esa)],[f92_nnf]) ).
cnf(c92,plain,
( ~ vertical_2_3
| ~ horizontal_3_3 ),
inference(cnf_transformation,[status(esa)],[f92_sk]) ).
cnf(p4530,plain,
( ~ vertical_2_3
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4527,c92]) ).
cnf(p4536,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4530,c11]) ).
cnf(p4537,plain,
( vertical_1_3
| horizontal_2_2
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4536]) ).
cnf(p4540,plain,
( vertical_1_3
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4537]) ).
cnf(p4542,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4540]) ).
cnf(p4550,plain,
( ~ horizontal_2_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4542,c78]) ).
cnf(p2961,plain,
( ~ vertical_2_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2960,c106]) ).
cnf(p2970,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_5_6
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2961,c13]) ).
cnf(p2972,plain,
( ~ vertical_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2970,c107]) ).
cnf(p2973,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2972,c13]) ).
cnf(p2980,plain,
( vertical_1_5
| horizontal_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2973]) ).
cnf(p2983,plain,
( vertical_1_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2980]) ).
cnf(p2985,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2983]) ).
cnf(p2987,plain,
( ~ vertical_2_3
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2985,c94]) ).
cnf(p2991,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2987,c11]) ).
cnf(p2994,plain,
( ~ vertical_2_3
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2991,c92]) ).
cnf(p3002,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2994,c11]) ).
cnf(p3431,plain,
( vertical_1_3
| horizontal_2_2
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3002]) ).
cnf(p3434,plain,
( vertical_1_3
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3431]) ).
cnf(p3439,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3434]) ).
cnf(p4552,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| vertical_2_4
| vertical_5_6
| horizontal_6_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4550,p3439]) ).
cnf(p5118,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| vertical_2_4
| vertical_5_6
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4552]) ).
cnf(p5800,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| vertical_2_4
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5118]) ).
cnf(p6262,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5800]) ).
cnf(p6266,plain,
( vertical_1_3
| horizontal_2_2
| vertical_1_5
| horizontal_2_4
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6262]) ).
cnf(p6269,plain,
( vertical_1_3
| vertical_1_5
| horizontal_2_4
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6266]) ).
cnf(p6279,plain,
( vertical_1_5
| horizontal_2_4
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6269]) ).
cnf(p6280,plain,
( ~ vertical_1_4
| vertical_1_5
| horizontal_2_4
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6279,c70]) ).
cnf(p6281,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_5
| horizontal_2_4
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6280,c6]) ).
cnf(p6283,plain,
( ~ vertical_1_4
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6281,c68]) ).
cnf(p6292,plain,
( horizontal_1_3
| horizontal_1_4
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6283,c6]) ).
cnf(p6293,plain,
( horizontal_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6292]) ).
cnf(p6295,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6293]) ).
cnf(f71,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_2_4) ).
fof(f71_nnf,plain,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
inference(nnf_transformation,[status(thm)],[f71]) ).
fof(f71_sk,plain,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
inference(skolemisation,[status(esa)],[f71_nnf]) ).
cnf(c71,plain,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
inference(cnf_transformation,[status(esa)],[f71_sk]) ).
cnf(p6303,plain,
( ~ vertical_1_4
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6295,c71]) ).
cnf(p6304,plain,
( horizontal_1_3
| horizontal_1_4
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6303,c6]) ).
cnf(p6305,plain,
( horizontal_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6304]) ).
cnf(p6315,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6305]) ).
cnf(f55,negated_conjecture,
( ~ horizontal_2_1
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_2_2) ).
fof(f55_nnf,plain,
( ~ horizontal_2_1
| ~ horizontal_2_2 ),
inference(nnf_transformation,[status(thm)],[f55]) ).
fof(f55_sk,plain,
( ~ horizontal_2_1
| ~ horizontal_2_2 ),
inference(skolemisation,[status(esa)],[f55_nnf]) ).
cnf(c55,plain,
( ~ horizontal_2_1
| ~ horizontal_2_2 ),
inference(cnf_transformation,[status(esa)],[f55_sk]) ).
cnf(p6317,plain,
( ~ horizontal_2_1
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6315,c55]) ).
cnf(p7255,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_1_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7252,p6317]) ).
cnf(p7390,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_3
| vertical_5_6
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_1_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7255]) ).
cnf(p7402,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_1_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7390]) ).
cnf(p7406,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_1_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7402]) ).
cnf(p7409,plain,
( horizontal_1_3
| vertical_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_1_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7406]) ).
cnf(p7411,plain,
( vertical_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_1_5
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7409]) ).
cnf(f79,negated_conjecture,
( ~ vertical_1_6
| ~ vertical_2_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_2_6) ).
fof(f79_nnf,plain,
( ~ vertical_1_6
| ~ vertical_2_6 ),
inference(nnf_transformation,[status(thm)],[f79]) ).
fof(f79_sk,plain,
( ~ vertical_1_6
| ~ vertical_2_6 ),
inference(skolemisation,[status(esa)],[f79_nnf]) ).
cnf(c79,plain,
( ~ vertical_1_6
| ~ vertical_2_6 ),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
cnf(p5918,plain,
( ~ vertical_1_6
| vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5916,c79]) ).
cnf(f8,negated_conjecture,
( horizontal_1_5
| vertical_1_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_1_6) ).
fof(f8_nnf,plain,
( horizontal_1_5
| vertical_1_6 ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( horizontal_1_5
| vertical_1_6 ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( horizontal_1_5
| vertical_1_6 ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p5921,plain,
( horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5918,c8]) ).
cnf(f69,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_2_4) ).
fof(f69_nnf,plain,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
inference(nnf_transformation,[status(thm)],[f69]) ).
fof(f69_sk,plain,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
inference(skolemisation,[status(esa)],[f69_nnf]) ).
cnf(c69,plain,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
inference(cnf_transformation,[status(esa)],[f69_sk]) ).
cnf(p5927,plain,
( ~ horizontal_2_3
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5921,c69]) ).
cnf(p5844,plain,
( ~ vertical_2_3
| vertical_2_6
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5842,c94]) ).
cnf(p5847,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_6
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5844,c11]) ).
cnf(p5852,plain,
( ~ vertical_2_1
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5847,c83]) ).
cnf(p5854,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5852,c9]) ).
cnf(p5856,plain,
( ~ vertical_1_6
| vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5854,c79]) ).
cnf(p5861,plain,
( horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5856,c8]) ).
cnf(p5930,plain,
( horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5927,p5861]) ).
cnf(p6356,plain,
( horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5930]) ).
cnf(p6361,plain,
( horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6356]) ).
cnf(p6365,plain,
( horizontal_1_5
| vertical_1_1
| vertical_1_3
| horizontal_2_2
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6361]) ).
cnf(p6368,plain,
( horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6365]) ).
cnf(p6375,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6368]) ).
cnf(f54,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_2_2) ).
fof(f54_nnf,plain,
( ~ vertical_2_2
| ~ horizontal_2_2 ),
inference(nnf_transformation,[status(thm)],[f54]) ).
fof(f54_sk,plain,
( ~ vertical_2_2
| ~ horizontal_2_2 ),
inference(skolemisation,[status(esa)],[f54_nnf]) ).
cnf(c54,plain,
( ~ vertical_2_2
| ~ horizontal_2_2 ),
inference(cnf_transformation,[status(esa)],[f54_sk]) ).
cnf(p6376,plain,
( ~ vertical_2_2
| vertical_1_3
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6375,c54]) ).
cnf(f93,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_3_3) ).
fof(f93_nnf,plain,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
inference(nnf_transformation,[status(thm)],[f93]) ).
fof(f93_sk,plain,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
inference(skolemisation,[status(esa)],[f93_nnf]) ).
cnf(c93,plain,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
inference(cnf_transformation,[status(esa)],[f93_sk]) ).
cnf(p5843,plain,
( ~ horizontal_3_2
| vertical_2_6
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5842,c93]) ).
cnf(f118,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_4_2) ).
fof(f118_nnf,plain,
( ~ vertical_3_2
| ~ vertical_4_2 ),
inference(nnf_transformation,[status(thm)],[f118]) ).
fof(f118_sk,plain,
( ~ vertical_3_2
| ~ vertical_4_2 ),
inference(skolemisation,[status(esa)],[f118_nnf]) ).
cnf(c118,plain,
( ~ vertical_3_2
| ~ vertical_4_2 ),
inference(cnf_transformation,[status(esa)],[f118_sk]) ).
cnf(p1010,plain,
( ~ vertical_3_2
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1009,c118]) ).
cnf(f16,negated_conjecture,
( vertical_2_2
| horizontal_3_1
| vertical_3_2
| horizontal_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_3_2) ).
fof(f16_nnf,plain,
( vertical_2_2
| horizontal_3_1
| vertical_3_2
| horizontal_3_2 ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
( vertical_2_2
| horizontal_3_1
| vertical_3_2
| horizontal_3_2 ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( vertical_2_2
| horizontal_3_1
| vertical_3_2
| horizontal_3_2 ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p1012,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_4_1
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1010,c16]) ).
cnf(f119,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_2) ).
fof(f119_nnf,plain,
( ~ vertical_3_2
| ~ horizontal_4_1 ),
inference(nnf_transformation,[status(thm)],[f119]) ).
fof(f119_sk,plain,
( ~ vertical_3_2
| ~ horizontal_4_1 ),
inference(skolemisation,[status(esa)],[f119_nnf]) ).
cnf(c119,plain,
( ~ vertical_3_2
| ~ horizontal_4_1 ),
inference(cnf_transformation,[status(esa)],[f119_sk]) ).
cnf(p1014,plain,
( ~ vertical_3_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1012,c119]) ).
cnf(p1018,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| vertical_3_5
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1014,c16]) ).
cnf(p1099,plain,
( vertical_2_2
| horizontal_3_1
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1018]) ).
cnf(p1102,plain,
( vertical_2_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1099]) ).
cnf(p1104,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| vertical_3_5
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1102]) ).
cnf(p439,plain,
( ~ vertical_3_2
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p438,c118]) ).
cnf(p442,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| horizontal_4_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p439,c16]) ).
cnf(p556,plain,
( ~ vertical_3_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p442,c119]) ).
cnf(p601,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p556,c16]) ).
cnf(p886,plain,
( vertical_2_2
| horizontal_3_1
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p601]) ).
cnf(p978,plain,
( vertical_2_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p886]) ).
cnf(p980,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| horizontal_3_5
| vertical_3_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p978]) ).
cnf(p981,plain,
( ~ vertical_3_5
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| vertical_3_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p980,c102]) ).
cnf(p1107,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| vertical_3_1
| vertical_5_6
| horizontal_6_5
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1104,p981]) ).
cnf(p1382,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| vertical_3_1
| vertical_5_6
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1107]) ).
cnf(p1748,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| vertical_5_6
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1382]) ).
cnf(p1987,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1748]) ).
cnf(p1991,plain,
( vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1987]) ).
cnf(p1994,plain,
( vertical_2_2
| vertical_2_6
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1991]) ).
cnf(p1999,plain,
( vertical_2_6
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1994]) ).
cnf(p5846,plain,
( vertical_2_6
| vertical_2_2
| horizontal_3_1
| vertical_5_6
| vertical_3_1
| horizontal_6_5
| vertical_2_6
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5843,p1999]) ).
cnf(p5942,plain,
( vertical_2_6
| vertical_2_2
| horizontal_3_1
| vertical_5_6
| vertical_3_1
| vertical_2_6
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5846]) ).
cnf(p5949,plain,
( vertical_2_6
| vertical_2_2
| horizontal_3_1
| vertical_5_6
| vertical_2_6
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5942]) ).
cnf(p5952,plain,
( vertical_2_6
| vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5949]) ).
cnf(p5954,plain,
( vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5952]) ).
cnf(p5955,plain,
( ~ vertical_2_1
| vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5954,c83]) ).
cnf(p5959,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5955,c9]) ).
cnf(f82,negated_conjecture,
( ~ vertical_2_1
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_3_1) ).
fof(f82_nnf,plain,
( ~ vertical_2_1
| ~ horizontal_3_1 ),
inference(nnf_transformation,[status(thm)],[f82]) ).
fof(f82_sk,plain,
( ~ vertical_2_1
| ~ horizontal_3_1 ),
inference(skolemisation,[status(esa)],[f82_nnf]) ).
cnf(c82,plain,
( ~ vertical_2_1
| ~ horizontal_3_1 ),
inference(cnf_transformation,[status(esa)],[f82_sk]) ).
cnf(p5961,plain,
( ~ vertical_2_1
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5959,c82]) ).
cnf(p5962,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5961,c9]) ).
cnf(p5970,plain,
( vertical_1_1
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5962]) ).
cnf(p5972,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5970]) ).
cnf(p5974,plain,
( ~ vertical_1_6
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5972,c79]) ).
cnf(p5980,plain,
( horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5974,c8]) ).
cnf(p6377,plain,
( horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5
| vertical_1_3
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6376,p5980]) ).
cnf(p6378,plain,
( horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| vertical_1_3
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6377]) ).
cnf(p6384,plain,
( horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6378]) ).
cnf(p6388,plain,
( horizontal_1_5
| vertical_1_1
| vertical_1_3
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6384]) ).
cnf(p6391,plain,
( horizontal_1_5
| vertical_1_3
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6388]) ).
cnf(p6393,plain,
( vertical_1_3
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6391]) ).
cnf(p4551,plain,
( ~ vertical_1_6
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4542,c79]) ).
cnf(p4553,plain,
( horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4551,c8]) ).
cnf(p4554,plain,
( ~ vertical_1_4
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4553,c70]) ).
cnf(p4562,plain,
( horizontal_1_3
| horizontal_1_4
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4554,c6]) ).
cnf(p4564,plain,
( ~ vertical_1_4
| horizontal_1_3
| horizontal_1_4
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4562,c71]) ).
cnf(p4565,plain,
( horizontal_1_3
| horizontal_1_4
| horizontal_1_3
| horizontal_1_4
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4564,c6]) ).
cnf(p4571,plain,
( horizontal_1_3
| horizontal_1_3
| horizontal_1_4
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4565]) ).
cnf(p4573,plain,
( horizontal_1_3
| horizontal_1_4
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4571]) ).
cnf(p4575,plain,
( ~ horizontal_2_1
| horizontal_1_3
| horizontal_1_4
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4573,c55]) ).
cnf(p6402,plain,
( horizontal_1_3
| horizontal_1_4
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5
| vertical_1_3
| horizontal_1_5
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6393,p4575]) ).
cnf(p6403,plain,
( horizontal_1_3
| horizontal_1_4
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| vertical_1_3
| horizontal_1_5
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6402]) ).
cnf(p6414,plain,
( horizontal_1_3
| horizontal_1_4
| horizontal_1_5
| vertical_1_3
| vertical_1_3
| horizontal_1_5
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6403]) ).
cnf(p6417,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_3
| vertical_1_3
| horizontal_1_5
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6414]) ).
cnf(p6419,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_3
| horizontal_1_5
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6417]) ).
cnf(f47,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_1_5) ).
fof(f47_nnf,plain,
( ~ vertical_1_5
| ~ horizontal_1_5 ),
inference(nnf_transformation,[status(thm)],[f47]) ).
fof(f47_sk,plain,
( ~ vertical_1_5
| ~ horizontal_1_5 ),
inference(skolemisation,[status(esa)],[f47_nnf]) ).
cnf(c47,plain,
( ~ vertical_1_5
| ~ horizontal_1_5 ),
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
cnf(p6420,plain,
( ~ vertical_1_5
| horizontal_1_3
| horizontal_1_4
| vertical_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6419,c47]) ).
cnf(p7420,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5
| vertical_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7411,p6420]) ).
cnf(p7506,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_3
| vertical_1_1
| vertical_5_6
| vertical_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7420]) ).
cnf(p7512,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_3
| vertical_1_1
| vertical_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7506]) ).
cnf(p7517,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_3
| vertical_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7512]) ).
cnf(p7523,plain,
( horizontal_1_3
| vertical_1_3
| vertical_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7517]) ).
cnf(p7526,plain,
( vertical_1_3
| vertical_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7523]) ).
cnf(p7528,plain,
( vertical_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7526]) ).
cnf(p1480,plain,
( ~ vertical_2_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1478,c106]) ).
cnf(p1484,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| horizontal_3_5
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1480,c13]) ).
cnf(f104,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_3_5) ).
fof(f104_nnf,plain,
( ~ vertical_2_5
| ~ horizontal_3_5 ),
inference(nnf_transformation,[status(thm)],[f104]) ).
fof(f104_sk,plain,
( ~ vertical_2_5
| ~ horizontal_3_5 ),
inference(skolemisation,[status(esa)],[f104_nnf]) ).
cnf(c104,plain,
( ~ vertical_2_5
| ~ horizontal_3_5 ),
inference(cnf_transformation,[status(esa)],[f104_sk]) ).
cnf(p1487,plain,
( ~ vertical_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1484,c104]) ).
cnf(p1488,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1487,c13]) ).
cnf(p1489,plain,
( vertical_1_5
| horizontal_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1488]) ).
cnf(p1492,plain,
( vertical_1_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1489]) ).
cnf(p1494,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_3_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1492]) ).
cnf(p1497,plain,
( ~ vertical_2_3
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1494,c94]) ).
cnf(p1499,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1497,c11]) ).
cnf(p1500,plain,
( ~ vertical_1_6
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1499,c79]) ).
cnf(p1502,plain,
( horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1500,c8]) ).
cnf(f80,negated_conjecture,
( ~ vertical_1_6
| ~ horizontal_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_2_6) ).
fof(f80_nnf,plain,
( ~ vertical_1_6
| ~ horizontal_2_5 ),
inference(nnf_transformation,[status(thm)],[f80]) ).
fof(f80_sk,plain,
( ~ vertical_1_6
| ~ horizontal_2_5 ),
inference(skolemisation,[status(esa)],[f80_nnf]) ).
cnf(c80,plain,
( ~ vertical_1_6
| ~ horizontal_2_5 ),
inference(cnf_transformation,[status(esa)],[f80_sk]) ).
cnf(p1504,plain,
( ~ vertical_1_6
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1502,c80]) ).
cnf(p1505,plain,
( horizontal_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1504,c8]) ).
cnf(p1510,plain,
( horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1505]) ).
cnf(f66,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_2_4) ).
fof(f66_nnf,plain,
( ~ vertical_2_4
| ~ horizontal_2_4 ),
inference(nnf_transformation,[status(thm)],[f66]) ).
fof(f66_sk,plain,
( ~ vertical_2_4
| ~ horizontal_2_4 ),
inference(skolemisation,[status(esa)],[f66_nnf]) ).
cnf(c66,plain,
( ~ vertical_2_4
| ~ horizontal_2_4 ),
inference(cnf_transformation,[status(esa)],[f66_sk]) ).
cnf(p1511,plain,
( ~ vertical_2_4
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1510,c66]) ).
cnf(p4556,plain,
( horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| vertical_5_6
| horizontal_6_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p4553,p1511]) ).
cnf(p5129,plain,
( horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| vertical_5_6
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4556]) ).
cnf(p5282,plain,
( horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5129]) ).
cnf(p5287,plain,
( horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5282]) ).
cnf(p5291,plain,
( horizontal_1_5
| vertical_1_3
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5287]) ).
cnf(p5294,plain,
( horizontal_1_5
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5291]) ).
cnf(p5302,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5294]) ).
cnf(p305,plain,
( ~ vertical_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_5
| vertical_5_6 ),
inference(resolution,[status(thm)],[p302,c128]) ).
cnf(p307,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_3_5
| vertical_5_6 ),
inference(resolution,[status(thm)],[p305,c18]) ).
cnf(p337,plain,
( ~ vertical_2_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_5_6 ),
inference(resolution,[status(thm)],[p307,c106]) ).
cnf(p350,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| horizontal_3_5
| vertical_5_6 ),
inference(resolution,[status(thm)],[p337,c13]) ).
cnf(p464,plain,
( ~ vertical_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_5_6 ),
inference(resolution,[status(thm)],[p350,c104]) ).
cnf(p558,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_5_6 ),
inference(resolution,[status(thm)],[p464,c13]) ).
cnf(p790,plain,
( vertical_1_5
| horizontal_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_5_6 ),
inference(factoring,[status(thm)],[p558]) ).
cnf(p867,plain,
( vertical_1_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_5_6 ),
inference(factoring,[status(thm)],[p790]) ).
cnf(p869,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_6
| vertical_5_6 ),
inference(factoring,[status(thm)],[p867]) ).
cnf(p873,plain,
( ~ vertical_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_5_6 ),
inference(resolution,[status(thm)],[p869,c107]) ).
cnf(p874,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_5_6 ),
inference(resolution,[status(thm)],[p873,c13]) ).
cnf(p945,plain,
( vertical_1_5
| horizontal_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_5_6 ),
inference(factoring,[status(thm)],[p874]) ).
cnf(p948,plain,
( vertical_1_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_5_6 ),
inference(factoring,[status(thm)],[p945]) ).
cnf(p950,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| horizontal_3_3
| vertical_2_6
| vertical_5_6 ),
inference(factoring,[status(thm)],[p948]) ).
cnf(p951,plain,
( ~ vertical_3_3
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_2_6
| vertical_5_6 ),
inference(resolution,[status(thm)],[p950,c90]) ).
cnf(p1498,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_2_6
| vertical_5_6
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1494,p951]) ).
cnf(p1857,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_2_6
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1498]) ).
cnf(p2054,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1857]) ).
cnf(p2058,plain,
( vertical_1_5
| horizontal_2_4
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2054]) ).
cnf(p2067,plain,
( vertical_1_5
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2058]) ).
cnf(p2069,plain,
( vertical_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2067]) ).
cnf(p2070,plain,
( ~ vertical_1_6
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2069,c79]) ).
cnf(p2071,plain,
( horizontal_1_5
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2070,c8]) ).
cnf(p2075,plain,
( ~ vertical_1_6
| horizontal_1_5
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2071,c80]) ).
cnf(p2076,plain,
( horizontal_1_5
| horizontal_1_5
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2075,c8]) ).
cnf(p2077,plain,
( horizontal_1_5
| vertical_2_4
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2076]) ).
cnf(p2080,plain,
( ~ horizontal_2_3
| horizontal_1_5
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2077,c69]) ).
cnf(p5306,plain,
( horizontal_1_5
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| horizontal_6_5
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5302,p2080]) ).
cnf(p5312,plain,
( horizontal_1_5
| vertical_1_5
| horizontal_2_4
| vertical_5_6
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5306]) ).
cnf(p5316,plain,
( horizontal_1_5
| vertical_1_5
| horizontal_2_4
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5312]) ).
cnf(p5319,plain,
( vertical_1_5
| horizontal_2_4
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5316]) ).
cnf(p5321,plain,
( horizontal_2_4
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5319]) ).
cnf(f67,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_2_4) ).
fof(f67_nnf,plain,
( ~ horizontal_2_3
| ~ horizontal_2_4 ),
inference(nnf_transformation,[status(thm)],[f67]) ).
fof(f67_sk,plain,
( ~ horizontal_2_3
| ~ horizontal_2_4 ),
inference(skolemisation,[status(esa)],[f67_nnf]) ).
cnf(c67,plain,
( ~ horizontal_2_3
| ~ horizontal_2_4 ),
inference(cnf_transformation,[status(esa)],[f67_sk]) ).
cnf(p5331,plain,
( ~ horizontal_2_3
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5321,c67]) ).
cnf(p5332,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5331,p5302]) ).
cnf(p5556,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5332]) ).
cnf(p5562,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5556]) ).
cnf(p5571,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5562]) ).
cnf(p5575,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5571]) ).
cnf(p5578,plain,
( vertical_1_5
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5575]) ).
cnf(p5580,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_3
| horizontal_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5578]) ).
cnf(p5590,plain,
( ~ vertical_2_2
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5580,c54]) ).
cnf(f91,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_3_3) ).
fof(f91_nnf,plain,
( ~ horizontal_3_2
| ~ horizontal_3_3 ),
inference(nnf_transformation,[status(thm)],[f91]) ).
fof(f91_sk,plain,
( ~ horizontal_3_2
| ~ horizontal_3_3 ),
inference(skolemisation,[status(esa)],[f91_nnf]) ).
cnf(c91,plain,
( ~ horizontal_3_2
| ~ horizontal_3_3 ),
inference(cnf_transformation,[status(esa)],[f91_sk]) ).
cnf(p3865,plain,
( ~ horizontal_3_2
| vertical_2_6
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3863,c91]) ).
cnf(p3873,plain,
( vertical_2_6
| vertical_2_2
| horizontal_3_1
| vertical_5_6
| vertical_3_1
| horizontal_6_5
| vertical_2_6
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3865,p1999]) ).
cnf(p3875,plain,
( vertical_2_6
| vertical_2_2
| horizontal_3_1
| vertical_5_6
| vertical_3_1
| vertical_2_6
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3873]) ).
cnf(p3881,plain,
( vertical_2_6
| vertical_2_2
| horizontal_3_1
| vertical_3_1
| vertical_2_6
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3875]) ).
cnf(p3884,plain,
( vertical_2_6
| vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3881]) ).
cnf(p3886,plain,
( vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3884]) ).
cnf(p3887,plain,
( ~ vertical_2_1
| vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3886,c83]) ).
cnf(p3893,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3887,c9]) ).
cnf(p3895,plain,
( ~ vertical_2_1
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_6
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3893,c82]) ).
cnf(p3896,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_6
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3895,c9]) ).
cnf(p3902,plain,
( vertical_1_1
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_6
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3896]) ).
cnf(p3904,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_6
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3902]) ).
cnf(p3906,plain,
( ~ vertical_1_6
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3904,c79]) ).
cnf(p3910,plain,
( horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3906,c8]) ).
cnf(p763,plain,
( ~ vertical_3_2
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p761,c118]) ).
cnf(p766,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_3_5
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p763,c16]) ).
cnf(p768,plain,
( ~ vertical_2_5
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p766,c106]) ).
cnf(p769,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p768,c13]) ).
cnf(p866,plain,
( ~ vertical_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p769,c104]) ).
cnf(p944,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p866,c13]) ).
cnf(p1282,plain,
( vertical_1_5
| horizontal_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p944]) ).
cnf(p1542,plain,
( vertical_1_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1282]) ).
cnf(p1544,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1542]) ).
cnf(p1496,plain,
( ~ horizontal_3_2
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1494,c93]) ).
cnf(p1549,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_5_6
| horizontal_6_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1544,p1496]) ).
cnf(p1923,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_5_6
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1549]) ).
cnf(p2341,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1923]) ).
cnf(p2765,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2341]) ).
cnf(p2769,plain,
( vertical_1_5
| horizontal_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2765]) ).
cnf(p2772,plain,
( vertical_1_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2769]) ).
cnf(p2781,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| horizontal_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2772]) ).
cnf(f81,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_3_1) ).
fof(f81_nnf,plain,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
inference(nnf_transformation,[status(thm)],[f81]) ).
fof(f81_sk,plain,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
inference(skolemisation,[status(esa)],[f81_nnf]) ).
cnf(c81,plain,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
inference(cnf_transformation,[status(esa)],[f81_sk]) ).
cnf(p2782,plain,
( ~ vertical_3_1
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2781,c81]) ).
cnf(p1149,plain,
( ~ vertical_2_5
| vertical_3_1
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1147,c106]) ).
cnf(p1150,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_6
| horizontal_3_5
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1149,c13]) ).
cnf(p1155,plain,
( ~ vertical_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1150,c104]) ).
cnf(p1156,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1155,c13]) ).
cnf(p1184,plain,
( vertical_1_5
| horizontal_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1156]) ).
cnf(p1187,plain,
( vertical_1_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1184]) ).
cnf(p1189,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1187]) ).
cnf(p2783,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_5_6
| horizontal_6_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2782,p1189]) ).
cnf(p3286,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_5_6
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2783]) ).
cnf(p3731,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_6
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3286]) ).
cnf(p3739,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3731]) ).
cnf(p3743,plain,
( vertical_1_5
| horizontal_2_4
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3739]) ).
cnf(p3746,plain,
( vertical_1_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3743]) ).
cnf(p3748,plain,
( vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| vertical_2_6
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3746]) ).
cnf(p3757,plain,
( ~ vertical_1_6
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3748,c79]) ).
cnf(p3758,plain,
( horizontal_1_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3757,c8]) ).
cnf(p3760,plain,
( ~ vertical_1_6
| horizontal_1_5
| vertical_1_5
| horizontal_2_4
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3758,c80]) ).
cnf(p3764,plain,
( horizontal_1_5
| horizontal_1_5
| vertical_1_5
| horizontal_2_4
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3760,c8]) ).
cnf(p3765,plain,
( horizontal_1_5
| vertical_1_5
| horizontal_2_4
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3764]) ).
cnf(p3766,plain,
( ~ vertical_2_4
| horizontal_1_5
| vertical_1_5
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3765,c66]) ).
cnf(p3914,plain,
( horizontal_1_5
| vertical_1_5
| vertical_2_2
| vertical_5_6
| horizontal_6_5
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3910,p3766]) ).
cnf(p3938,plain,
( horizontal_1_5
| vertical_1_5
| vertical_2_2
| vertical_5_6
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3914]) ).
cnf(p3942,plain,
( horizontal_1_5
| vertical_1_5
| vertical_2_2
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3938]) ).
cnf(p3945,plain,
( horizontal_1_5
| vertical_1_5
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3942]) ).
cnf(p3947,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3945]) ).
cnf(p5593,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5590,p3947]) ).
cnf(p5603,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5593]) ).
cnf(p5607,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5603]) ).
cnf(p5610,plain,
( vertical_1_5
| vertical_1_1
| horizontal_2_1
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5607]) ).
cnf(p5612,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5610]) ).
cnf(p5591,plain,
( ~ horizontal_2_1
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5580,c55]) ).
cnf(p5621,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5
| vertical_1_1
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5612,p5591]) ).
cnf(p5622,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| vertical_1_1
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5621]) ).
cnf(p5627,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_1_1
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5622]) ).
cnf(p5636,plain,
( vertical_1_5
| horizontal_1_5
| vertical_1_1
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5627]) ).
cnf(p5639,plain,
( vertical_1_5
| vertical_1_1
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5636]) ).
cnf(p5641,plain,
( vertical_1_1
| vertical_1_5
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5639]) ).
cnf(f49,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_1_5) ).
fof(f49_nnf,plain,
( ~ horizontal_1_4
| ~ vertical_1_5 ),
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
( ~ horizontal_1_4
| ~ vertical_1_5 ),
inference(skolemisation,[status(esa)],[f49_nnf]) ).
cnf(c49,plain,
( ~ horizontal_1_4
| ~ vertical_1_5 ),
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(p5642,plain,
( ~ horizontal_1_4
| vertical_1_1
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5641,c49]) ).
cnf(p7530,plain,
( vertical_1_1
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| horizontal_6_5
| vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7528,p5642]) ).
cnf(p7533,plain,
( vertical_1_1
| horizontal_1_5
| vertical_1_3
| vertical_5_6
| vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7530]) ).
cnf(p7537,plain,
( vertical_1_1
| horizontal_1_5
| vertical_1_3
| vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7533]) ).
cnf(p7540,plain,
( horizontal_1_5
| vertical_1_3
| vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7537]) ).
cnf(p7550,plain,
( horizontal_1_5
| vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7540]) ).
cnf(f48,negated_conjecture,
( ~ horizontal_1_4
| ~ horizontal_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_1_5) ).
fof(f48_nnf,plain,
( ~ horizontal_1_4
| ~ horizontal_1_5 ),
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
( ~ horizontal_1_4
| ~ horizontal_1_5 ),
inference(skolemisation,[status(esa)],[f48_nnf]) ).
cnf(c48,plain,
( ~ horizontal_1_4
| ~ horizontal_1_5 ),
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
cnf(p7552,plain,
( ~ horizontal_1_4
| vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7550,c48]) ).
cnf(p7553,plain,
( vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5
| vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7552,p7528]) ).
cnf(p7562,plain,
( vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7553]) ).
cnf(p7567,plain,
( vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7562]) ).
cnf(p7571,plain,
( vertical_1_3
| horizontal_1_3
| vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7567]) ).
cnf(p7574,plain,
( vertical_1_3
| vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7571]) ).
cnf(p7583,plain,
( vertical_1_3
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7574]) ).
cnf(f43,negated_conjecture,
( ~ horizontal_1_2
| ~ vertical_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_1_3) ).
fof(f43_nnf,plain,
( ~ horizontal_1_2
| ~ vertical_1_3 ),
inference(nnf_transformation,[status(thm)],[f43]) ).
fof(f43_sk,plain,
( ~ horizontal_1_2
| ~ vertical_1_3 ),
inference(skolemisation,[status(esa)],[f43_nnf]) ).
cnf(c43,plain,
( ~ horizontal_1_2
| ~ vertical_1_3 ),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p7584,plain,
( ~ horizontal_1_2
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7583,c43]) ).
cnf(p5811,plain,
( ~ horizontal_3_4
| vertical_5_6
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5810,c105]) ).
cnf(p489,plain,
( ~ vertical_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p488,c130]) ).
cnf(p490,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p489,c18]) ).
cnf(p580,plain,
( ~ vertical_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p490,c131]) ).
cnf(p605,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p580,c18]) ).
cnf(p898,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p605]) ).
cnf(p987,plain,
( vertical_2_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p898]) ).
cnf(p989,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p987]) ).
cnf(p990,plain,
( ~ vertical_4_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p989,c114]) ).
cnf(p406,plain,
( ~ vertical_3_4
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p404,c130]) ).
cnf(p411,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p406,c18]) ).
cnf(p995,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| horizontal_6_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p990,p411]) ).
cnf(p1307,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p995]) ).
cnf(p1682,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1307]) ).
cnf(p1891,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1682]) ).
cnf(p1895,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1891]) ).
cnf(p1898,plain,
( vertical_2_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1895]) ).
cnf(p1900,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1898]) ).
cnf(p1408,plain,
( ~ vertical_3_4
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2 ),
inference(resolution,[status(thm)],[p1407,c130]) ).
cnf(p1419,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| horizontal_6_5
| vertical_4_2 ),
inference(resolution,[status(thm)],[p1408,c18]) ).
cnf(p1421,plain,
( ~ vertical_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_3
| horizontal_4_2
| horizontal_6_5
| vertical_4_2 ),
inference(resolution,[status(thm)],[p1419,c131]) ).
cnf(p1422,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_3
| horizontal_4_2
| horizontal_6_5
| vertical_4_2 ),
inference(resolution,[status(thm)],[p1421,c18]) ).
cnf(p1425,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_3
| horizontal_4_2
| horizontal_6_5
| vertical_4_2 ),
inference(factoring,[status(thm)],[p1422]) ).
cnf(p1428,plain,
( vertical_2_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_3
| horizontal_4_2
| horizontal_6_5
| vertical_4_2 ),
inference(factoring,[status(thm)],[p1425]) ).
cnf(p1430,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_3
| horizontal_4_2
| horizontal_6_5
| vertical_4_2 ),
inference(factoring,[status(thm)],[p1428]) ).
cnf(p1431,plain,
( ~ horizontal_4_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_3
| horizontal_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1430,c117]) ).
cnf(p1904,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_3
| horizontal_4_2
| horizontal_6_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1900,p1431]) ).
cnf(p2286,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_3
| horizontal_4_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1904]) ).
cnf(p2291,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| horizontal_4_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2286]) ).
cnf(p2295,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_4_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2291]) ).
cnf(p2298,plain,
( vertical_2_4
| horizontal_4_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2295]) ).
cnf(p2300,plain,
( horizontal_4_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2298]) ).
cnf(p2306,plain,
( ~ horizontal_4_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2300,c115]) ).
cnf(p2307,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2306,p1900]) ).
cnf(p2702,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2307]) ).
cnf(p2708,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2702]) ).
cnf(p2713,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2708]) ).
cnf(p2717,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2713]) ).
cnf(p2722,plain,
( vertical_2_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2717]) ).
cnf(p2724,plain,
( vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2722]) ).
cnf(p5820,plain,
( vertical_2_4
| horizontal_3_3
| vertical_3_1
| vertical_3_3
| horizontal_6_5
| vertical_5_6
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5811,p2724]) ).
cnf(p5868,plain,
( vertical_2_4
| horizontal_3_3
| vertical_3_1
| vertical_3_3
| vertical_5_6
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5820]) ).
cnf(p5871,plain,
( vertical_2_4
| horizontal_3_3
| vertical_3_1
| vertical_5_6
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5868]) ).
cnf(p5873,plain,
( vertical_2_4
| horizontal_3_3
| vertical_5_6
| vertical_3_1
| vertical_3_3
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5871]) ).
cnf(p5874,plain,
( ~ horizontal_3_2
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5873,c93]) ).
cnf(p1105,plain,
( ~ horizontal_3_4
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1104,c105]) ).
cnf(p412,plain,
( ~ vertical_3_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p411,c118]) ).
cnf(p413,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_4_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p412,c16]) ).
cnf(p539,plain,
( ~ vertical_3_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p413,c119]) ).
cnf(p599,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p539,c16]) ).
cnf(p878,plain,
( vertical_2_2
| horizontal_3_1
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p599]) ).
cnf(p968,plain,
( vertical_2_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p878]) ).
cnf(p970,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p968]) ).
cnf(p1113,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_4
| horizontal_3_3
| vertical_3_1
| horizontal_6_5
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p1105,p970]) ).
cnf(p1414,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_4
| horizontal_3_3
| vertical_3_1
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1113]) ).
cnf(p1793,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_4
| horizontal_3_3
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1414]) ).
cnf(p2012,plain,
( vertical_2_2
| horizontal_3_1
| vertical_2_4
| horizontal_3_3
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p1793]) ).
cnf(p2015,plain,
( vertical_2_2
| vertical_2_4
| horizontal_3_3
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2012]) ).
cnf(p2017,plain,
( vertical_2_4
| horizontal_3_3
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2015]) ).
cnf(p2018,plain,
( ~ vertical_3_3
| vertical_2_4
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2017,c90]) ).
cnf(p200,plain,
( ~ vertical_4_3
| vertical_4_2
| horizontal_5_1
| vertical_5_1 ),
inference(resolution,[status(thm)],[p193,c155]) ).
cnf(p204,plain,
( vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_2
| horizontal_5_1
| vertical_5_1 ),
inference(resolution,[status(thm)],[p200,c23]) ).
cnf(p223,plain,
( ~ vertical_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_2
| horizontal_5_1 ),
inference(resolution,[status(thm)],[p204,c143]) ).
cnf(p249,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_2
| horizontal_5_1 ),
inference(resolution,[status(thm)],[p223,c21]) ).
cnf(p290,plain,
( ~ vertical_4_1
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_2 ),
inference(resolution,[status(thm)],[p249,c142]) ).
cnf(p333,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_2 ),
inference(resolution,[status(thm)],[p290,c21]) ).
cnf(p415,plain,
( vertical_3_1
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_2 ),
inference(factoring,[status(thm)],[p333]) ).
cnf(p417,plain,
( vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| horizontal_4_3
| vertical_4_2 ),
inference(factoring,[status(thm)],[p415]) ).
cnf(p405,plain,
( ~ horizontal_4_3
| vertical_3_1
| horizontal_4_1
| vertical_4_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p404,c129]) ).
cnf(p422,plain,
( vertical_3_1
| horizontal_4_1
| vertical_4_2
| horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_4_2 ),
inference(resolution,[status(thm)],[p417,p405]) ).
cnf(p541,plain,
( vertical_3_1
| horizontal_4_1
| horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_4_2 ),
inference(factoring,[status(thm)],[p422]) ).
cnf(p544,plain,
( vertical_3_1
| horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_4_2 ),
inference(factoring,[status(thm)],[p541]) ).
cnf(p546,plain,
( horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2
| vertical_4_2 ),
inference(factoring,[status(thm)],[p544]) ).
cnf(p549,plain,
( ~ vertical_3_2
| horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2 ),
inference(resolution,[status(thm)],[p546,c118]) ).
cnf(p550,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3
| horizontal_4_2 ),
inference(resolution,[status(thm)],[p549,c16]) ).
cnf(f116,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_4_2) ).
fof(f116_nnf,plain,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
inference(nnf_transformation,[status(thm)],[f116]) ).
fof(f116_sk,plain,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
inference(skolemisation,[status(esa)],[f116_nnf]) ).
cnf(c116,plain,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
inference(cnf_transformation,[status(esa)],[f116_sk]) ).
cnf(p552,plain,
( ~ vertical_3_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3 ),
inference(resolution,[status(thm)],[p550,c116]) ).
cnf(p553,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3 ),
inference(resolution,[status(thm)],[p552,c16]) ).
cnf(p774,plain,
( vertical_2_2
| horizontal_3_1
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3 ),
inference(factoring,[status(thm)],[p553]) ).
cnf(p777,plain,
( vertical_2_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3 ),
inference(factoring,[status(thm)],[p774]) ).
cnf(p779,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1
| horizontal_4_1
| vertical_3_3 ),
inference(factoring,[status(thm)],[p777]) ).
cnf(p781,plain,
( ~ vertical_3_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1
| vertical_3_3 ),
inference(resolution,[status(thm)],[p779,c119]) ).
cnf(p783,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1
| vertical_3_3 ),
inference(resolution,[status(thm)],[p781,c16]) ).
cnf(p784,plain,
( vertical_2_2
| horizontal_3_1
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1
| vertical_3_3 ),
inference(factoring,[status(thm)],[p783]) ).
cnf(p787,plain,
( vertical_2_2
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1
| vertical_3_3 ),
inference(factoring,[status(thm)],[p784]) ).
cnf(p789,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1
| vertical_3_3 ),
inference(factoring,[status(thm)],[p787]) ).
cnf(p2021,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1
| vertical_2_4
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2018,p789]) ).
cnf(p2477,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_3_1
| vertical_2_4
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2021]) ).
cnf(p2482,plain,
( vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_2_4
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2477]) ).
cnf(p2491,plain,
( vertical_2_2
| horizontal_3_1
| vertical_2_4
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2482]) ).
cnf(p2494,plain,
( vertical_2_2
| vertical_2_4
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2491]) ).
cnf(p2496,plain,
( vertical_2_4
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2494]) ).
cnf(p5883,plain,
( vertical_2_4
| vertical_2_2
| horizontal_3_1
| vertical_5_6
| vertical_3_1
| horizontal_6_5
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5874,p2496]) ).
cnf(p6037,plain,
( vertical_2_4
| vertical_2_2
| horizontal_3_1
| vertical_5_6
| vertical_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5883]) ).
cnf(p6041,plain,
( vertical_2_4
| vertical_2_2
| horizontal_3_1
| vertical_5_6
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6037]) ).
cnf(p6044,plain,
( vertical_2_4
| vertical_2_2
| horizontal_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6041]) ).
cnf(p6046,plain,
( vertical_2_2
| horizontal_3_1
| vertical_2_4
| horizontal_3_3
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6044]) ).
cnf(p6048,plain,
( ~ horizontal_3_2
| vertical_2_2
| horizontal_3_1
| vertical_2_4
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6046,c91]) ).
cnf(p6049,plain,
( vertical_2_4
| vertical_2_2
| horizontal_3_1
| vertical_5_6
| vertical_3_1
| horizontal_6_5
| vertical_2_2
| horizontal_3_1
| vertical_2_4
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6048,p2496]) ).
cnf(p6561,plain,
( vertical_2_4
| vertical_2_2
| horizontal_3_1
| vertical_5_6
| vertical_3_1
| vertical_2_2
| horizontal_3_1
| vertical_2_4
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6049]) ).
cnf(p6567,plain,
( vertical_2_4
| vertical_2_2
| horizontal_3_1
| vertical_5_6
| vertical_2_2
| horizontal_3_1
| vertical_2_4
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6561]) ).
cnf(p6572,plain,
( vertical_2_4
| vertical_2_2
| horizontal_3_1
| vertical_2_2
| horizontal_3_1
| vertical_2_4
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6567]) ).
cnf(p6576,plain,
( vertical_2_2
| horizontal_3_1
| vertical_2_2
| horizontal_3_1
| vertical_2_4
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6572]) ).
cnf(p6583,plain,
( vertical_2_2
| vertical_2_2
| horizontal_3_1
| vertical_2_4
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6576]) ).
cnf(p6585,plain,
( vertical_2_2
| horizontal_3_1
| vertical_2_4
| vertical_5_6
| vertical_3_1
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6583]) ).
cnf(p6586,plain,
( ~ vertical_2_1
| vertical_2_2
| horizontal_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6585,c83]) ).
cnf(p6587,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_2
| horizontal_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6586,c9]) ).
cnf(p6594,plain,
( ~ vertical_2_1
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6587,c82]) ).
cnf(p6595,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6594,c9]) ).
cnf(p6596,plain,
( vertical_1_1
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6595]) ).
cnf(p6600,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6596]) ).
cnf(p6601,plain,
( ~ horizontal_2_3
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6600,c69]) ).
cnf(p793,plain,
( ~ vertical_2_3
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1 ),
inference(resolution,[status(thm)],[p789,c94]) ).
cnf(p794,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_6_5
| vertical_3_1 ),
inference(resolution,[status(thm)],[p793,c11]) ).
cnf(f95,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_3_3) ).
fof(f95_nnf,plain,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
inference(nnf_transformation,[status(thm)],[f95]) ).
fof(f95_sk,plain,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
inference(skolemisation,[status(esa)],[f95_nnf]) ).
cnf(c95,plain,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p796,plain,
( ~ vertical_2_3
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_2
| horizontal_3_1
| horizontal_6_5
| vertical_3_1 ),
inference(resolution,[status(thm)],[p794,c95]) ).
cnf(p803,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_2
| horizontal_3_1
| horizontal_6_5
| vertical_3_1 ),
inference(resolution,[status(thm)],[p796,c11]) ).
cnf(p875,plain,
( vertical_1_3
| horizontal_2_2
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_2
| horizontal_3_1
| horizontal_6_5
| vertical_3_1 ),
inference(factoring,[status(thm)],[p803]) ).
cnf(p881,plain,
( vertical_1_3
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_2
| horizontal_3_1
| horizontal_6_5
| vertical_3_1 ),
inference(factoring,[status(thm)],[p875]) ).
cnf(p883,plain,
( vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_2
| horizontal_3_1
| horizontal_6_5
| vertical_3_1 ),
inference(factoring,[status(thm)],[p881]) ).
cnf(p884,plain,
( ~ vertical_2_1
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_2
| horizontal_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p883,c83]) ).
cnf(p885,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_2
| horizontal_3_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p884,c9]) ).
cnf(p890,plain,
( ~ vertical_2_1
| vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p885,c82]) ).
cnf(p891,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_2
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p890,c9]) ).
cnf(p892,plain,
( vertical_1_1
| vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p891]) ).
cnf(p894,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| horizontal_2_3
| vertical_2_2
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p892]) ).
cnf(p6604,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| vertical_2_2
| horizontal_6_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6601,p894]) ).
cnf(p6615,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| vertical_2_2
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6604]) ).
cnf(p6619,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_3
| horizontal_2_2
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6615]) ).
cnf(p6626,plain,
( vertical_1_1
| vertical_1_3
| horizontal_2_2
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6619]) ).
cnf(p6628,plain,
( vertical_1_3
| horizontal_2_2
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6626]) ).
cnf(f58,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_2_2) ).
fof(f58_nnf,plain,
( ~ vertical_1_2
| ~ vertical_2_2 ),
inference(nnf_transformation,[status(thm)],[f58]) ).
fof(f58_sk,plain,
( ~ vertical_1_2
| ~ vertical_2_2 ),
inference(skolemisation,[status(esa)],[f58_nnf]) ).
cnf(c58,plain,
( ~ vertical_1_2
| ~ vertical_2_2 ),
inference(cnf_transformation,[status(esa)],[f58_sk]) ).
cnf(p6629,plain,
( ~ vertical_1_2
| vertical_1_3
| horizontal_2_2
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6628,c58]) ).
cnf(f4,negated_conjecture,
( horizontal_1_1
| vertical_1_2
| horizontal_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_1_2) ).
fof(f4_nnf,plain,
( horizontal_1_1
| vertical_1_2
| horizontal_1_2 ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( horizontal_1_1
| vertical_1_2
| horizontal_1_2 ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( horizontal_1_1
| vertical_1_2
| horizontal_1_2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p6630,plain,
( horizontal_1_1
| horizontal_1_2
| vertical_1_3
| horizontal_2_2
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6629,c4]) ).
cnf(f56,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_2_2) ).
fof(f56_nnf,plain,
( ~ vertical_1_2
| ~ horizontal_2_2 ),
inference(nnf_transformation,[status(thm)],[f56]) ).
fof(f56_sk,plain,
( ~ vertical_1_2
| ~ horizontal_2_2 ),
inference(skolemisation,[status(esa)],[f56_nnf]) ).
cnf(c56,plain,
( ~ vertical_1_2
| ~ horizontal_2_2 ),
inference(cnf_transformation,[status(esa)],[f56_sk]) ).
cnf(p6632,plain,
( ~ vertical_1_2
| horizontal_1_1
| horizontal_1_2
| vertical_1_3
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6630,c56]) ).
cnf(p6633,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_1
| horizontal_1_2
| vertical_1_3
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6632,c4]) ).
cnf(p6634,plain,
( horizontal_1_1
| horizontal_1_1
| horizontal_1_2
| vertical_1_3
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6633]) ).
cnf(p6637,plain,
( horizontal_1_1
| horizontal_1_2
| vertical_1_3
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6634]) ).
cnf(f59,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_2_2) ).
fof(f59_nnf,plain,
( ~ vertical_1_2
| ~ horizontal_2_1 ),
inference(nnf_transformation,[status(thm)],[f59]) ).
fof(f59_sk,plain,
( ~ vertical_1_2
| ~ horizontal_2_1 ),
inference(skolemisation,[status(esa)],[f59_nnf]) ).
cnf(c59,plain,
( ~ vertical_1_2
| ~ horizontal_2_1 ),
inference(cnf_transformation,[status(esa)],[f59_sk]) ).
cnf(p6639,plain,
( ~ vertical_1_2
| horizontal_1_1
| horizontal_1_2
| vertical_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6637,c59]) ).
cnf(p6640,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_1
| horizontal_1_2
| vertical_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6639,c4]) ).
cnf(p6641,plain,
( horizontal_1_1
| horizontal_1_1
| horizontal_1_2
| vertical_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6640]) ).
cnf(p6643,plain,
( horizontal_1_1
| horizontal_1_2
| vertical_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6641]) ).
cnf(p5981,plain,
( ~ vertical_1_2
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5980,c58]) ).
cnf(p5982,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5981,c4]) ).
cnf(p5984,plain,
( ~ vertical_1_2
| horizontal_1_1
| horizontal_1_2
| horizontal_1_5
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5982,c59]) ).
cnf(p5987,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_1
| horizontal_1_2
| horizontal_1_5
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5984,c4]) ).
cnf(p5988,plain,
( horizontal_1_1
| horizontal_1_1
| horizontal_1_2
| horizontal_1_5
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5987]) ).
cnf(p5990,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_5
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5988]) ).
cnf(p5993,plain,
( ~ vertical_1_5
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5990,c47]) ).
cnf(p3905,plain,
( ~ horizontal_2_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3904,c78]) ).
cnf(p2651,plain,
( ~ horizontal_3_2
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2649,c91]) ).
cnf(p2656,plain,
( vertical_2_4
| vertical_2_2
| horizontal_3_1
| vertical_5_6
| vertical_3_1
| horizontal_6_5
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p2651,p2496]) ).
cnf(p3162,plain,
( vertical_2_4
| vertical_2_2
| horizontal_3_1
| vertical_5_6
| vertical_3_1
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p2656]) ).
cnf(p3560,plain,
( vertical_2_4
| vertical_2_2
| horizontal_3_1
| vertical_3_1
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3162]) ).
cnf(p3563,plain,
( vertical_2_2
| horizontal_3_1
| vertical_3_1
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3560]) ).
cnf(p3565,plain,
( vertical_2_2
| horizontal_3_1
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_3_1
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3563]) ).
cnf(p3568,plain,
( ~ vertical_2_1
| vertical_2_2
| horizontal_3_1
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3565,c83]) ).
cnf(p3569,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_2
| horizontal_3_1
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3568,c9]) ).
cnf(p3571,plain,
( ~ vertical_2_1
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3569,c82]) ).
cnf(p3575,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3571,c9]) ).
cnf(p3576,plain,
( vertical_1_1
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3575]) ).
cnf(p3578,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_1_5
| horizontal_2_4
| horizontal_2_5
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3576]) ).
cnf(p3907,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_1_5
| horizontal_2_4
| vertical_2_4
| vertical_5_6
| horizontal_6_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p3905,p3578]) ).
cnf(p4450,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_1_5
| horizontal_2_4
| vertical_2_4
| vertical_5_6
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p3907]) ).
cnf(p5023,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_1_5
| horizontal_2_4
| vertical_2_4
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p4450]) ).
cnf(p5149,plain,
( vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_1_5
| horizontal_2_4
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5023]) ).
cnf(p5153,plain,
( vertical_1_1
| horizontal_2_1
| vertical_1_5
| horizontal_2_4
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5149]) ).
cnf(p5156,plain,
( vertical_1_1
| vertical_1_5
| horizontal_2_4
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5153]) ).
cnf(p5158,plain,
( vertical_1_5
| horizontal_2_4
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_2_4
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5156]) ).
cnf(p5165,plain,
( ~ vertical_1_4
| vertical_1_5
| horizontal_2_4
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5158,c70]) ).
cnf(p5167,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_5
| horizontal_2_4
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5165,c6]) ).
cnf(p5170,plain,
( ~ vertical_1_4
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5167,c68]) ).
cnf(p5176,plain,
( horizontal_1_3
| horizontal_1_4
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5170,c6]) ).
cnf(p5177,plain,
( horizontal_1_3
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5176]) ).
cnf(p5184,plain,
( horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_1
| horizontal_2_1
| vertical_2_2
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5177]) ).
cnf(p5185,plain,
( ~ vertical_1_2
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5184,c58]) ).
cnf(p5186,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_1
| horizontal_2_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5185,c4]) ).
cnf(p5188,plain,
( ~ vertical_1_2
| horizontal_1_1
| horizontal_1_2
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5186,c59]) ).
cnf(p5193,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_1
| horizontal_1_2
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5188,c4]) ).
cnf(p5194,plain,
( horizontal_1_1
| horizontal_1_1
| horizontal_1_2
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5193]) ).
cnf(p5196,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_3
| horizontal_1_4
| vertical_1_5
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5194]) ).
cnf(p5995,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_5_6
| horizontal_6_5
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5993,p5196]) ).
cnf(p6429,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| vertical_5_6
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p5995]) ).
cnf(p6434,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_3
| horizontal_1_4
| vertical_1_1
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6429]) ).
cnf(p6438,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_3
| horizontal_1_4
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6434]) ).
cnf(p6445,plain,
( horizontal_1_1
| horizontal_1_3
| horizontal_1_4
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6438]) ).
cnf(p6447,plain,
( horizontal_1_3
| horizontal_1_4
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6445]) ).
cnf(p5994,plain,
( ~ horizontal_1_4
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p5990,c48]) ).
cnf(p6449,plain,
( horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5
| horizontal_1_3
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6447,p5994]) ).
cnf(p6456,plain,
( horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_1_3
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6449]) ).
cnf(p6461,plain,
( horizontal_1_1
| horizontal_1_2
| vertical_1_1
| horizontal_1_3
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6456]) ).
cnf(p6465,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_3
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6461]) ).
cnf(p6468,plain,
( horizontal_1_1
| horizontal_1_3
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6465]) ).
cnf(p6476,plain,
( horizontal_1_3
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6468]) ).
cnf(f41,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_1_3) ).
fof(f41_nnf,plain,
( ~ vertical_1_3
| ~ horizontal_1_3 ),
inference(nnf_transformation,[status(thm)],[f41]) ).
fof(f41_sk,plain,
( ~ vertical_1_3
| ~ horizontal_1_3 ),
inference(skolemisation,[status(esa)],[f41_nnf]) ).
cnf(c41,plain,
( ~ vertical_1_3
| ~ horizontal_1_3 ),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
cnf(p6477,plain,
( ~ vertical_1_3
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6476,c41]) ).
cnf(p6644,plain,
( horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p6643,p6477]) ).
cnf(p6645,plain,
( horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6644]) ).
cnf(p6651,plain,
( horizontal_1_1
| horizontal_1_2
| vertical_1_1
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6645]) ).
cnf(p6655,plain,
( horizontal_1_1
| horizontal_1_2
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6651]) ).
cnf(p6658,plain,
( horizontal_1_1
| horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6655]) ).
cnf(p6660,plain,
( horizontal_1_1
| horizontal_1_2
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p6658]) ).
cnf(p7585,plain,
( horizontal_1_1
| vertical_1_1
| vertical_5_6
| horizontal_6_5
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7584,p6660]) ).
cnf(p7586,plain,
( horizontal_1_1
| vertical_1_1
| vertical_5_6
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7585]) ).
cnf(p7590,plain,
( horizontal_1_1
| vertical_1_1
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7586]) ).
cnf(p7592,plain,
( horizontal_1_1
| horizontal_1_3
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7590]) ).
cnf(f42,negated_conjecture,
( ~ horizontal_1_2
| ~ horizontal_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_1_3) ).
fof(f42_nnf,plain,
( ~ horizontal_1_2
| ~ horizontal_1_3 ),
inference(nnf_transformation,[status(thm)],[f42]) ).
fof(f42_sk,plain,
( ~ horizontal_1_2
| ~ horizontal_1_3 ),
inference(skolemisation,[status(esa)],[f42_nnf]) ).
cnf(c42,plain,
( ~ horizontal_1_2
| ~ horizontal_1_3 ),
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
cnf(p7594,plain,
( ~ horizontal_1_2
| horizontal_1_1
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7592,c42]) ).
cnf(p7598,plain,
( horizontal_1_1
| vertical_1_1
| vertical_5_6
| horizontal_6_5
| horizontal_1_1
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7594,p6660]) ).
cnf(p7599,plain,
( horizontal_1_1
| vertical_1_1
| vertical_5_6
| horizontal_1_1
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7598]) ).
cnf(p7603,plain,
( horizontal_1_1
| vertical_1_1
| horizontal_1_1
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7599]) ).
cnf(p7606,plain,
( horizontal_1_1
| horizontal_1_1
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7603]) ).
cnf(p7616,plain,
( horizontal_1_1
| vertical_1_1
| vertical_5_6
| horizontal_6_5 ),
inference(factoring,[status(thm)],[p7606]) ).
cnf(f3,negated_conjecture,
~ vertical_5_6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered4_6_6) ).
fof(f3_nnf,plain,
~ vertical_5_6,
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
~ vertical_5_6,
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
~ vertical_5_6,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p7617,plain,
( horizontal_1_1
| vertical_1_1
| horizontal_6_5 ),
inference(resolution,[status(thm)],[p7616,c3]) ).
cnf(f2,negated_conjecture,
~ horizontal_6_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered3_6_6) ).
fof(f2_nnf,plain,
~ horizontal_6_5,
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
~ horizontal_6_5,
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ horizontal_6_5,
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p7618,plain,
( horizontal_1_1
| vertical_1_1 ),
inference(resolution,[status(thm)],[p7617,c2]) ).
cnf(f1,negated_conjecture,
~ vertical_1_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered2_1_1) ).
fof(f1_nnf,plain,
~ vertical_1_1,
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
~ vertical_1_1,
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
~ vertical_1_1,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p7619,plain,
horizontal_1_1,
inference(resolution,[status(thm)],[p7618,c1]) ).
cnf(f0,negated_conjecture,
~ horizontal_1_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered1_1_1) ).
fof(f0_nnf,plain,
~ horizontal_1_1,
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
~ horizontal_1_1,
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
~ horizontal_1_1,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p7626,plain,
$false,
inference(resolution,[status(thm)],[p7619,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ015-2.006 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.42 % Computer : n002.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Thu Sep 24 06:41:57 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 21.05/3.90 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.05/3.90 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------