%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ016-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:21:54 AM UTC 2026
% Result : Unsatisfiable 13.93s 3.65s
% Output : CNFRefutation 13.93s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(uncovered2_1_2,negated_conjecture,
~ 'vertical$u1$u2' ).
cnf(uncovered3_1_2,negated_conjecture,
~ 'horizontal$u1$u1' ).
cnf(covered_1_1,negated_conjecture,
( 'vertical$u1$u1'
| 'horizontal$u1$u1' ) ).
cnf(covered_1_5,negated_conjecture,
( 'horizontal$u1$u4'
| 'vertical$u1$u5' ) ).
cnf(covered_2_2,negated_conjecture,
( 'vertical$u1$u2'
| 'horizontal$u2$u1'
| 'vertical$u2$u2'
| 'horizontal$u2$u2' ) ).
cnf(covered_2_4,negated_conjecture,
( 'vertical$u1$u4'
| 'horizontal$u2$u3'
| 'vertical$u2$u4'
| 'horizontal$u2$u4' ) ).
cnf(covered_3_1,negated_conjecture,
( 'vertical$u2$u1'
| 'vertical$u3$u1'
| 'horizontal$u3$u1' ) ).
cnf(covered_3_3,negated_conjecture,
( 'vertical$u2$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u3'
| 'horizontal$u3$u3' ) ).
cnf(covered_3_5,negated_conjecture,
( 'vertical$u2$u5'
| 'horizontal$u3$u4'
| 'vertical$u3$u5' ) ).
cnf(covered_4_2,negated_conjecture,
( 'vertical$u3$u2'
| 'horizontal$u4$u1'
| 'vertical$u4$u2'
| 'horizontal$u4$u2' ) ).
cnf(covered_4_4,negated_conjecture,
( 'vertical$u3$u4'
| 'horizontal$u4$u3'
| 'vertical$u4$u4'
| 'horizontal$u4$u4' ) ).
cnf(covered_5_1,negated_conjecture,
( 'vertical$u4$u1'
| 'horizontal$u5$u1' ) ).
cnf(covered_5_3,negated_conjecture,
( 'vertical$u4$u3'
| 'horizontal$u5$u2'
| 'horizontal$u5$u3' ) ).
cnf(covered_5_5,negated_conjecture,
( 'vertical$u4$u5'
| 'horizontal$u5$u4' ) ).
cnf(unique_cover1_1_4,negated_conjecture,
( ~ 'vertical$u1$u4'
| ~ 'horizontal$u1$u4' ) ).
cnf(unique_cover3_2_1,negated_conjecture,
( ~ 'vertical$u1$u1'
| ~ 'horizontal$u2$u1' ) ).
cnf(unique_cover5_2_1,negated_conjecture,
( ~ 'vertical$u1$u1'
| ~ 'vertical$u2$u1' ) ).
cnf(unique_cover1_2_3,negated_conjecture,
( ~ 'vertical$u2$u3'
| ~ 'horizontal$u2$u3' ) ).
cnf(unique_cover2_2_3,negated_conjecture,
( ~ 'horizontal$u2$u2'
| ~ 'horizontal$u2$u3' ) ).
cnf(unique_cover4_2_3,negated_conjecture,
( ~ 'horizontal$u2$u2'
| ~ 'vertical$u2$u3' ) ).
cnf(unique_cover4_2_5,negated_conjecture,
( ~ 'horizontal$u2$u4'
| ~ 'vertical$u2$u5' ) ).
cnf(unique_cover5_2_5,negated_conjecture,
( ~ 'vertical$u1$u5'
| ~ 'vertical$u2$u5' ) ).
cnf(unique_cover1_3_2,negated_conjecture,
( ~ 'vertical$u3$u2'
| ~ 'horizontal$u3$u2' ) ).
cnf(unique_cover2_3_2,negated_conjecture,
( ~ 'horizontal$u3$u1'
| ~ 'horizontal$u3$u2' ) ).
cnf(unique_cover3_3_2,negated_conjecture,
( ~ 'vertical$u2$u2'
| ~ 'horizontal$u3$u2' ) ).
cnf(unique_cover4_3_2,negated_conjecture,
( ~ 'horizontal$u3$u1'
| ~ 'vertical$u3$u2' ) ).
cnf(unique_cover5_3_2,negated_conjecture,
( ~ 'vertical$u2$u2'
| ~ 'vertical$u3$u2' ) ).
cnf(unique_cover6_3_2,negated_conjecture,
( ~ 'vertical$u2$u2'
| ~ 'horizontal$u3$u1' ) ).
cnf(unique_cover1_3_4,negated_conjecture,
( ~ 'vertical$u3$u4'
| ~ 'horizontal$u3$u4' ) ).
cnf(unique_cover2_3_4,negated_conjecture,
( ~ 'horizontal$u3$u3'
| ~ 'horizontal$u3$u4' ) ).
cnf(unique_cover4_3_4,negated_conjecture,
( ~ 'horizontal$u3$u3'
| ~ 'vertical$u3$u4' ) ).
cnf(unique_cover5_3_4,negated_conjecture,
( ~ 'vertical$u2$u4'
| ~ 'vertical$u3$u4' ) ).
cnf(unique_cover6_3_4,negated_conjecture,
( ~ 'vertical$u2$u4'
| ~ 'horizontal$u3$u3' ) ).
cnf(unique_cover1_4_1,negated_conjecture,
( ~ 'vertical$u4$u1'
| ~ 'horizontal$u4$u1' ) ).
cnf(unique_cover3_4_1,negated_conjecture,
( ~ 'vertical$u3$u1'
| ~ 'horizontal$u4$u1' ) ).
cnf(unique_cover5_4_1,negated_conjecture,
( ~ 'vertical$u3$u1'
| ~ 'vertical$u4$u1' ) ).
cnf(unique_cover1_4_3,negated_conjecture,
( ~ 'vertical$u4$u3'
| ~ 'horizontal$u4$u3' ) ).
cnf(unique_cover2_4_3,negated_conjecture,
( ~ 'horizontal$u4$u2'
| ~ 'horizontal$u4$u3' ) ).
cnf(unique_cover3_4_3,negated_conjecture,
( ~ 'vertical$u3$u3'
| ~ 'horizontal$u4$u3' ) ).
cnf(unique_cover4_4_3,negated_conjecture,
( ~ 'horizontal$u4$u2'
| ~ 'vertical$u4$u3' ) ).
cnf(unique_cover5_4_3,negated_conjecture,
( ~ 'vertical$u3$u3'
| ~ 'vertical$u4$u3' ) ).
cnf(unique_cover6_4_3,negated_conjecture,
( ~ 'vertical$u3$u3'
| ~ 'horizontal$u4$u2' ) ).
cnf(unique_cover4_4_5,negated_conjecture,
( ~ 'horizontal$u4$u4'
| ~ 'vertical$u4$u5' ) ).
cnf(unique_cover5_4_5,negated_conjecture,
( ~ 'vertical$u3$u5'
| ~ 'vertical$u4$u5' ) ).
cnf(unique_cover6_4_5,negated_conjecture,
( ~ 'vertical$u3$u5'
| ~ 'horizontal$u4$u4' ) ).
cnf(unique_cover2_5_2,negated_conjecture,
( ~ 'horizontal$u5$u1'
| ~ 'horizontal$u5$u2' ) ).
cnf(unique_cover3_5_2,negated_conjecture,
( ~ 'vertical$u4$u2'
| ~ 'horizontal$u5$u2' ) ).
cnf(unique_cover6_5_2,negated_conjecture,
( ~ 'vertical$u4$u2'
| ~ 'horizontal$u5$u1' ) ).
cnf(unique_cover2_5_4,negated_conjecture,
( ~ 'horizontal$u5$u3'
| ~ 'horizontal$u5$u4' ) ).
cnf(unique_cover3_5_4,negated_conjecture,
( ~ 'vertical$u4$u4'
| ~ 'horizontal$u5$u4' ) ).
cnf(unique_cover6_5_4,negated_conjecture,
( ~ 'vertical$u4$u4'
| ~ 'horizontal$u5$u3' ) ).
cnf(c2,plain,
~ 'vertical$u1$u2',
inference(clausification,[status(esa)],[uncovered2_1_2]) ).
cnf(c4,plain,
~ 'horizontal$u1$u1',
inference(clausification,[status(esa)],[uncovered3_1_2]) ).
cnf(c6,plain,
( 'vertical$u1$u1'
| 'horizontal$u1$u1' ),
inference(clausification,[status(esa)],[covered_1_1]) ).
cnf(c8,plain,
( 'horizontal$u1$u4'
| 'vertical$u1$u5' ),
inference(clausification,[status(esa)],[covered_1_5]) ).
cnf(c10,plain,
( 'vertical$u1$u2'
| 'horizontal$u2$u1'
| 'vertical$u2$u2'
| 'horizontal$u2$u2' ),
inference(clausification,[status(esa)],[covered_2_2]) ).
cnf(c12,plain,
( 'vertical$u1$u4'
| 'horizontal$u2$u3'
| 'vertical$u2$u4'
| 'horizontal$u2$u4' ),
inference(clausification,[status(esa)],[covered_2_4]) ).
cnf(c14,plain,
( 'vertical$u2$u1'
| 'vertical$u3$u1'
| 'horizontal$u3$u1' ),
inference(clausification,[status(esa)],[covered_3_1]) ).
cnf(c16,plain,
( 'vertical$u2$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u3'
| 'horizontal$u3$u3' ),
inference(clausification,[status(esa)],[covered_3_3]) ).
cnf(c18,plain,
( 'vertical$u2$u5'
| 'horizontal$u3$u4'
| 'vertical$u3$u5' ),
inference(clausification,[status(esa)],[covered_3_5]) ).
cnf(c20,plain,
( 'vertical$u3$u2'
| 'horizontal$u4$u1'
| 'vertical$u4$u2'
| 'horizontal$u4$u2' ),
inference(clausification,[status(esa)],[covered_4_2]) ).
cnf(c22,plain,
( 'vertical$u3$u4'
| 'horizontal$u4$u3'
| 'vertical$u4$u4'
| 'horizontal$u4$u4' ),
inference(clausification,[status(esa)],[covered_4_4]) ).
cnf(c24,plain,
( 'vertical$u4$u1'
| 'horizontal$u5$u1' ),
inference(clausification,[status(esa)],[covered_5_1]) ).
cnf(c26,plain,
( 'vertical$u4$u3'
| 'horizontal$u5$u2'
| 'horizontal$u5$u3' ),
inference(clausification,[status(esa)],[covered_5_3]) ).
cnf(c28,plain,
( 'vertical$u4$u5'
| 'horizontal$u5$u4' ),
inference(clausification,[status(esa)],[covered_5_5]) ).
cnf(c30,plain,
( ~ 'vertical$u1$u4'
| ~ 'horizontal$u1$u4' ),
inference(clausification,[status(esa)],[unique_cover1_1_4]) ).
cnf(c35,plain,
( ~ 'vertical$u1$u1'
| ~ 'horizontal$u2$u1' ),
inference(clausification,[status(esa)],[unique_cover3_2_1]) ).
cnf(c36,plain,
( ~ 'vertical$u1$u1'
| ~ 'vertical$u2$u1' ),
inference(clausification,[status(esa)],[unique_cover5_2_1]) ).
cnf(c43,plain,
( ~ 'vertical$u2$u3'
| ~ 'horizontal$u2$u3' ),
inference(clausification,[status(esa)],[unique_cover1_2_3]) ).
cnf(c44,plain,
( ~ 'horizontal$u2$u2'
| ~ 'horizontal$u2$u3' ),
inference(clausification,[status(esa)],[unique_cover2_2_3]) ).
cnf(c46,plain,
( ~ 'horizontal$u2$u2'
| ~ 'vertical$u2$u3' ),
inference(clausification,[status(esa)],[unique_cover4_2_3]) ).
cnf(c55,plain,
( ~ 'horizontal$u2$u4'
| ~ 'vertical$u2$u5' ),
inference(clausification,[status(esa)],[unique_cover4_2_5]) ).
cnf(c56,plain,
( ~ 'vertical$u1$u5'
| ~ 'vertical$u2$u5' ),
inference(clausification,[status(esa)],[unique_cover5_2_5]) ).
cnf(c61,plain,
( ~ 'vertical$u3$u2'
| ~ 'horizontal$u3$u2' ),
inference(clausification,[status(esa)],[unique_cover1_3_2]) ).
cnf(c62,plain,
( ~ 'horizontal$u3$u1'
| ~ 'horizontal$u3$u2' ),
inference(clausification,[status(esa)],[unique_cover2_3_2]) ).
cnf(c63,plain,
( ~ 'vertical$u2$u2'
| ~ 'horizontal$u3$u2' ),
inference(clausification,[status(esa)],[unique_cover3_3_2]) ).
cnf(c64,plain,
( ~ 'horizontal$u3$u1'
| ~ 'vertical$u3$u2' ),
inference(clausification,[status(esa)],[unique_cover4_3_2]) ).
cnf(c65,plain,
( ~ 'vertical$u2$u2'
| ~ 'vertical$u3$u2' ),
inference(clausification,[status(esa)],[unique_cover5_3_2]) ).
cnf(c66,plain,
( ~ 'vertical$u2$u2'
| ~ 'horizontal$u3$u1' ),
inference(clausification,[status(esa)],[unique_cover6_3_2]) ).
cnf(c73,plain,
( ~ 'vertical$u3$u4'
| ~ 'horizontal$u3$u4' ),
inference(clausification,[status(esa)],[unique_cover1_3_4]) ).
cnf(c74,plain,
( ~ 'horizontal$u3$u3'
| ~ 'horizontal$u3$u4' ),
inference(clausification,[status(esa)],[unique_cover2_3_4]) ).
cnf(c76,plain,
( ~ 'horizontal$u3$u3'
| ~ 'vertical$u3$u4' ),
inference(clausification,[status(esa)],[unique_cover4_3_4]) ).
cnf(c77,plain,
( ~ 'vertical$u2$u4'
| ~ 'vertical$u3$u4' ),
inference(clausification,[status(esa)],[unique_cover5_3_4]) ).
cnf(c78,plain,
( ~ 'vertical$u2$u4'
| ~ 'horizontal$u3$u3' ),
inference(clausification,[status(esa)],[unique_cover6_3_4]) ).
cnf(c82,plain,
( ~ 'vertical$u4$u1'
| ~ 'horizontal$u4$u1' ),
inference(clausification,[status(esa)],[unique_cover1_4_1]) ).
cnf(c83,plain,
( ~ 'vertical$u3$u1'
| ~ 'horizontal$u4$u1' ),
inference(clausification,[status(esa)],[unique_cover3_4_1]) ).
cnf(c84,plain,
( ~ 'vertical$u3$u1'
| ~ 'vertical$u4$u1' ),
inference(clausification,[status(esa)],[unique_cover5_4_1]) ).
cnf(c91,plain,
( ~ 'vertical$u4$u3'
| ~ 'horizontal$u4$u3' ),
inference(clausification,[status(esa)],[unique_cover1_4_3]) ).
cnf(c92,plain,
( ~ 'horizontal$u4$u2'
| ~ 'horizontal$u4$u3' ),
inference(clausification,[status(esa)],[unique_cover2_4_3]) ).
cnf(c93,plain,
( ~ 'vertical$u3$u3'
| ~ 'horizontal$u4$u3' ),
inference(clausification,[status(esa)],[unique_cover3_4_3]) ).
cnf(c94,plain,
( ~ 'horizontal$u4$u2'
| ~ 'vertical$u4$u3' ),
inference(clausification,[status(esa)],[unique_cover4_4_3]) ).
cnf(c95,plain,
( ~ 'vertical$u3$u3'
| ~ 'vertical$u4$u3' ),
inference(clausification,[status(esa)],[unique_cover5_4_3]) ).
cnf(c96,plain,
( ~ 'vertical$u3$u3'
| ~ 'horizontal$u4$u2' ),
inference(clausification,[status(esa)],[unique_cover6_4_3]) ).
cnf(c103,plain,
( ~ 'horizontal$u4$u4'
| ~ 'vertical$u4$u5' ),
inference(clausification,[status(esa)],[unique_cover4_4_5]) ).
cnf(c104,plain,
( ~ 'vertical$u3$u5'
| ~ 'vertical$u4$u5' ),
inference(clausification,[status(esa)],[unique_cover5_4_5]) ).
cnf(c105,plain,
( ~ 'vertical$u3$u5'
| ~ 'horizontal$u4$u4' ),
inference(clausification,[status(esa)],[unique_cover6_4_5]) ).
cnf(c107,plain,
( ~ 'horizontal$u5$u1'
| ~ 'horizontal$u5$u2' ),
inference(clausification,[status(esa)],[unique_cover2_5_2]) ).
cnf(c108,plain,
( ~ 'vertical$u4$u2'
| ~ 'horizontal$u5$u2' ),
inference(clausification,[status(esa)],[unique_cover3_5_2]) ).
cnf(c109,plain,
( ~ 'vertical$u4$u2'
| ~ 'horizontal$u5$u1' ),
inference(clausification,[status(esa)],[unique_cover6_5_2]) ).
cnf(c113,plain,
( ~ 'horizontal$u5$u3'
| ~ 'horizontal$u5$u4' ),
inference(clausification,[status(esa)],[unique_cover2_5_4]) ).
cnf(c114,plain,
( ~ 'vertical$u4$u4'
| ~ 'horizontal$u5$u4' ),
inference(clausification,[status(esa)],[unique_cover3_5_4]) ).
cnf(c115,plain,
( ~ 'vertical$u4$u4'
| ~ 'horizontal$u5$u3' ),
inference(clausification,[status(esa)],[unique_cover6_5_4]) ).
cnf(d0,plain,
'vertical$u1$u1',
inference(resolution,[status(thm)],[c4,c6]) ).
cnf(d1,plain,
~ 'vertical$u2$u1',
inference(resolution,[status(thm)],[d0,c36]) ).
cnf(d2,plain,
( 'horizontal$u3$u1'
| 'vertical$u3$u1' ),
inference(resolution,[status(thm)],[d1,c14]) ).
cnf(d3,plain,
( 'vertical$u4$u5'
| ~ 'horizontal$u5$u3' ),
inference(resolution,[status(thm)],[c113,c28]) ).
cnf(d4,plain,
( 'horizontal$u5$u2'
| 'vertical$u4$u3'
| 'vertical$u4$u5' ),
inference(resolution,[status(thm)],[d3,c26]) ).
cnf(d5,plain,
( ~ 'horizontal$u4$u4'
| 'horizontal$u5$u2'
| 'vertical$u4$u3' ),
inference(resolution,[status(thm)],[d4,c103]) ).
cnf(d6,plain,
( 'horizontal$u5$u2'
| 'vertical$u4$u3'
| ~ 'vertical$u4$u4' ),
inference(resolution,[status(thm)],[c115,c26]) ).
cnf(d7,plain,
( 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u5$u2'
| 'vertical$u4$u3' ),
inference(resolution,[status(thm)],[d6,c22]) ).
cnf(d8,plain,
( ~ 'horizontal$u5$u1'
| 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'vertical$u3$u4' ),
inference(resolution,[status(thm)],[d7,c107]) ).
cnf(d9,plain,
( 'vertical$u4$u1'
| 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'vertical$u3$u4' ),
inference(resolution,[status(thm)],[d8,c24]) ).
cnf(d10,plain,
( ~ 'vertical$u3$u1'
| 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'vertical$u3$u4' ),
inference(resolution,[status(thm)],[d9,c84]) ).
cnf(d11,plain,
( 'horizontal$u3$u1'
| 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'vertical$u3$u4' ),
inference(resolution,[status(thm)],[d10,d2]) ).
cnf(d12,plain,
( 'horizontal$u5$u2'
| 'vertical$u4$u3'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
( ~ 'horizontal$u5$u1'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d12,c107]) ).
cnf(d14,plain,
( 'vertical$u4$u1'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d13,c24]) ).
cnf(d15,plain,
( ~ 'vertical$u3$u1'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d14,c84]) ).
cnf(d16,plain,
( 'horizontal$u3$u1'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d15,d2]) ).
cnf(d17,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d16,c95]) ).
cnf(d18,plain,
( 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u3'
| ~ 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[c78,c16]) ).
cnf(d19,plain,
( 'vertical$u2$u2'
| 'horizontal$u2$u2'
| 'horizontal$u2$u1' ),
inference(resolution,[status(thm)],[c2,c10]) ).
cnf(d20,plain,
~ 'horizontal$u2$u1',
inference(resolution,[status(thm)],[d0,c35]) ).
cnf(d21,plain,
( 'vertical$u2$u2'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d20,d19]) ).
cnf(d22,plain,
( 'vertical$u4$u1'
| ~ 'vertical$u4$u2' ),
inference(resolution,[status(thm)],[c109,c24]) ).
cnf(d23,plain,
( 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'vertical$u3$u2'
| 'vertical$u4$u1' ),
inference(resolution,[status(thm)],[d22,c20]) ).
cnf(d24,plain,
( ~ 'vertical$u3$u1'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d23,c84]) ).
cnf(d25,plain,
( 'horizontal$u3$u1'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d24,d2]) ).
cnf(d26,plain,
( ~ 'vertical$u3$u1'
| 'horizontal$u4$u2'
| 'vertical$u3$u2'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d25,c83]) ).
cnf(d27,plain,
( 'horizontal$u3$u1'
| 'horizontal$u4$u2'
| 'vertical$u3$u2'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d26,d2]) ).
cnf(d28,plain,
( ~ 'vertical$u2$u2'
| 'horizontal$u4$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d27,c66]) ).
cnf(d29,plain,
( 'horizontal$u2$u2'
| 'horizontal$u4$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d28,d21]) ).
cnf(d30,plain,
( ~ 'vertical$u3$u3'
| 'vertical$u3$u2'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d29,c96]) ).
cnf(d31,plain,
( ~ 'horizontal$u4$u2'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d16,c94]) ).
cnf(d32,plain,
( 'vertical$u3$u2'
| 'horizontal$u2$u2'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d31,d29]) ).
cnf(d33,plain,
( ~ 'vertical$u2$u2'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d32,c66]) ).
cnf(d34,plain,
( 'horizontal$u2$u2'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d33,d21]) ).
cnf(d35,plain,
( ~ 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d34,c92]) ).
cnf(d36,plain,
( 'vertical$u3$u2'
| 'horizontal$u2$u2'
| 'vertical$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d35,d29]) ).
cnf(d37,plain,
( ~ 'horizontal$u3$u3'
| 'vertical$u3$u2'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d36,c76]) ).
cnf(d38,plain,
( 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u3'
| 'vertical$u3$u2'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d37,c16]) ).
cnf(d39,plain,
( 'vertical$u3$u2'
| 'horizontal$u2$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d38,d30]) ).
cnf(d40,plain,
( ~ 'vertical$u2$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d39,c63]) ).
cnf(d41,plain,
( 'horizontal$u2$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d40,d21]) ).
cnf(d42,plain,
( ~ 'vertical$u2$u2'
| 'vertical$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d41,c65]) ).
cnf(d43,plain,
( 'horizontal$u2$u2'
| 'vertical$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d42,d21]) ).
cnf(d44,plain,
( ~ 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d43,c43]) ).
cnf(d45,plain,
( ~ 'vertical$u2$u4'
| 'vertical$u3$u2'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d36,c77]) ).
cnf(d46,plain,
( ~ 'vertical$u3$u5'
| 'horizontal$u5$u2'
| 'vertical$u4$u3' ),
inference(resolution,[status(thm)],[d4,c104]) ).
cnf(d47,plain,
( 'horizontal$u3$u4'
| 'vertical$u2$u5'
| 'horizontal$u5$u2'
| 'vertical$u4$u3' ),
inference(resolution,[status(thm)],[d46,c18]) ).
cnf(d48,plain,
( ~ 'horizontal$u5$u1'
| 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u2$u5' ),
inference(resolution,[status(thm)],[d47,c107]) ).
cnf(d49,plain,
( 'vertical$u4$u1'
| 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u2$u5' ),
inference(resolution,[status(thm)],[d48,c24]) ).
cnf(d50,plain,
( ~ 'vertical$u3$u1'
| 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u2$u5' ),
inference(resolution,[status(thm)],[d49,c84]) ).
cnf(d51,plain,
( 'horizontal$u3$u1'
| 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u2$u5' ),
inference(resolution,[status(thm)],[d50,d2]) ).
cnf(d52,plain,
( ~ 'vertical$u1$u5'
| 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d51,c56]) ).
cnf(d53,plain,
( 'horizontal$u1$u4'
| 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d52,c8]) ).
cnf(d54,plain,
( ~ 'horizontal$u2$u4'
| 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d51,c55]) ).
cnf(d55,plain,
( 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4'
| 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d54,c12]) ).
cnf(d56,plain,
( ~ 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d55,c94]) ).
cnf(d57,plain,
( 'vertical$u3$u2'
| 'horizontal$u2$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d56,d29]) ).
cnf(d58,plain,
( ~ 'vertical$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d57,c73]) ).
cnf(d59,plain,
( 'vertical$u3$u2'
| 'horizontal$u2$u2'
| 'vertical$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d58,d36]) ).
cnf(d60,plain,
( ~ 'vertical$u2$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d59,c66]) ).
cnf(d61,plain,
( 'horizontal$u2$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d60,d21]) ).
cnf(d62,plain,
( ~ 'horizontal$u1$u4'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d61,c30]) ).
cnf(d63,plain,
( 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'horizontal$u3$u1'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d62,d53]) ).
cnf(d64,plain,
( ~ 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d63,c94]) ).
cnf(d65,plain,
( 'vertical$u3$u2'
| 'horizontal$u2$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d64,d29]) ).
cnf(d66,plain,
( ~ 'vertical$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d65,c73]) ).
cnf(d67,plain,
( 'vertical$u3$u2'
| 'horizontal$u2$u2'
| 'vertical$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d66,d36]) ).
cnf(d68,plain,
( ~ 'vertical$u2$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d67,c66]) ).
cnf(d69,plain,
( 'horizontal$u2$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d68,d21]) ).
cnf(d70,plain,
( ~ 'vertical$u2$u2'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d69,c65]) ).
cnf(d71,plain,
( 'horizontal$u2$u2'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d70,d21]) ).
cnf(d72,plain,
( 'vertical$u3$u2'
| 'horizontal$u2$u2'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d71,d45]) ).
cnf(d73,plain,
( ~ 'vertical$u2$u2'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d72,c65]) ).
cnf(d74,plain,
( 'horizontal$u2$u2'
| 'horizontal$u2$u3'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d73,d21]) ).
cnf(d75,plain,
( 'horizontal$u2$u2'
| 'horizontal$u2$u2' ),
inference(resolution,[status(thm)],[d74,d44]) ).
cnf(d76,plain,
~ 'vertical$u2$u3',
inference(resolution,[status(thm)],[d75,c46]) ).
cnf(d77,plain,
( 'vertical$u3$u3'
| 'horizontal$u3$u2'
| ~ 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d76,d18]) ).
cnf(d78,plain,
( 'horizontal$u3$u3'
| 'vertical$u3$u3'
| 'horizontal$u3$u2' ),
inference(resolution,[status(thm)],[d76,c16]) ).
cnf(d79,plain,
( 'vertical$u4$u5'
| ~ 'vertical$u4$u4' ),
inference(resolution,[status(thm)],[c114,c28]) ).
cnf(d80,plain,
( 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u4$u5' ),
inference(resolution,[status(thm)],[d79,c22]) ).
cnf(d81,plain,
( ~ 'vertical$u3$u5'
| 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'vertical$u3$u4' ),
inference(resolution,[status(thm)],[d80,c104]) ).
cnf(d82,plain,
( 'horizontal$u3$u4'
| 'vertical$u2$u5'
| 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'vertical$u3$u4' ),
inference(resolution,[status(thm)],[d81,c18]) ).
cnf(d83,plain,
( ~ 'horizontal$u2$u4'
| 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4' ),
inference(resolution,[status(thm)],[d82,c55]) ).
cnf(d84,plain,
( 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4'
| 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4' ),
inference(resolution,[status(thm)],[d83,c12]) ).
cnf(d85,plain,
( ~ 'vertical$u3$u5'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d84,c105]) ).
cnf(d86,plain,
( 'horizontal$u3$u4'
| 'vertical$u2$u5'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d85,c18]) ).
cnf(d87,plain,
( ~ 'horizontal$u2$u4'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d86,c55]) ).
cnf(d88,plain,
( 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d87,c12]) ).
cnf(d89,plain,
( ~ 'horizontal$u3$u3'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d88,c74]) ).
cnf(d90,plain,
( 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u3'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d89,c16]) ).
cnf(d91,plain,
~ 'horizontal$u2$u3',
inference(resolution,[status(thm)],[d75,c44]) ).
cnf(d92,plain,
( 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u2$u3'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d91,d90]) ).
cnf(d93,plain,
( 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d76,d92]) ).
cnf(d94,plain,
( ~ 'horizontal$u1$u4'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d93,c30]) ).
cnf(d95,plain,
( ~ 'vertical$u1$u5'
| 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4' ),
inference(resolution,[status(thm)],[d82,c56]) ).
cnf(d96,plain,
( 'horizontal$u1$u4'
| 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4' ),
inference(resolution,[status(thm)],[d95,c8]) ).
cnf(d97,plain,
( 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d94,d96]) ).
cnf(d98,plain,
( ~ 'vertical$u3$u5'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d97,c105]) ).
cnf(d99,plain,
( 'horizontal$u3$u4'
| 'vertical$u2$u5'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d98,c18]) ).
cnf(d100,plain,
( ~ 'vertical$u1$u5'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d99,c56]) ).
cnf(d101,plain,
( 'horizontal$u1$u4'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d100,c8]) ).
cnf(d102,plain,
( 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d101,d94]) ).
cnf(d103,plain,
( ~ 'horizontal$u3$u3'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d102,c74]) ).
cnf(d104,plain,
( 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d103,d78]) ).
cnf(d105,plain,
( ~ 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d104,c92]) ).
cnf(d106,plain,
( ~ 'vertical$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d104,c91]) ).
cnf(d107,plain,
( 'horizontal$u2$u4'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d91,c12]) ).
cnf(d108,plain,
( ~ 'vertical$u4$u2'
| 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u2$u5' ),
inference(resolution,[status(thm)],[d47,c108]) ).
cnf(d109,plain,
( 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'vertical$u3$u2'
| 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u2$u5' ),
inference(resolution,[status(thm)],[d108,c20]) ).
cnf(d110,plain,
( ~ 'horizontal$u2$u4'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d109,c55]) ).
cnf(d111,plain,
( 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d110,c12]) ).
cnf(d112,plain,
( 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d91,d111]) ).
cnf(d113,plain,
( 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d106,d112]) ).
cnf(d114,plain,
( ~ 'vertical$u4$u1'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d113,c82]) ).
cnf(d115,plain,
( 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u2$u5'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d114,d49]) ).
cnf(d116,plain,
( ~ 'horizontal$u2$u4'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d115,c55]) ).
cnf(d117,plain,
( 'vertical$u2$u4'
| 'vertical$u1$u4'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d116,d107]) ).
cnf(d118,plain,
( 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d117,d106]) ).
cnf(d119,plain,
( ~ 'horizontal$u3$u3'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d118,c74]) ).
cnf(d120,plain,
( 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d119,d78]) ).
cnf(d121,plain,
( ~ 'horizontal$u1$u4'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d120,c30]) ).
cnf(d122,plain,
( ~ 'vertical$u1$u5'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d109,c56]) ).
cnf(d123,plain,
( 'horizontal$u1$u4'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d122,c8]) ).
cnf(d124,plain,
( 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d121,d123]) ).
cnf(d125,plain,
( 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d124,d106]) ).
cnf(d126,plain,
( ~ 'vertical$u4$u1'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d125,c82]) ).
cnf(d127,plain,
( 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u2$u5'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d126,d49]) ).
cnf(d128,plain,
( ~ 'vertical$u1$u5'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d127,c56]) ).
cnf(d129,plain,
( 'horizontal$u1$u4'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d128,c8]) ).
cnf(d130,plain,
( 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d129,d121]) ).
cnf(d131,plain,
( 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d130,d106]) ).
cnf(d132,plain,
( ~ 'horizontal$u3$u3'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d131,c74]) ).
cnf(d133,plain,
( 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d132,d78]) ).
cnf(d134,plain,
( 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d133,d105]) ).
cnf(d135,plain,
( ~ 'horizontal$u3$u3'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d134,c76]) ).
cnf(d136,plain,
( 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d135,d78]) ).
cnf(d137,plain,
( ~ 'vertical$u4$u2'
| 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'vertical$u3$u4' ),
inference(resolution,[status(thm)],[d7,c108]) ).
cnf(d138,plain,
( 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'vertical$u3$u2'
| 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'vertical$u3$u4' ),
inference(resolution,[status(thm)],[d137,c20]) ).
cnf(d139,plain,
( 'horizontal$u5$u2'
| 'vertical$u4$u3'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'vertical$u3$u4'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d138,d5]) ).
cnf(d140,plain,
( ~ 'vertical$u4$u2'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'vertical$u3$u4'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d139,c108]) ).
cnf(d141,plain,
( 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'vertical$u3$u2'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'vertical$u3$u4'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d140,c20]) ).
cnf(d142,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'vertical$u3$u4'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d141,c95]) ).
cnf(d143,plain,
( 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'vertical$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d136,d142]) ).
cnf(d144,plain,
( ~ 'vertical$u4$u1'
| 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d143,c82]) ).
cnf(d145,plain,
( 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d144,d9]) ).
cnf(d146,plain,
( 'horizontal$u5$u2'
| 'vertical$u4$u3'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d145,d5]) ).
cnf(d147,plain,
( ~ 'horizontal$u5$u1'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d146,c107]) ).
cnf(d148,plain,
( 'vertical$u4$u1'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d147,c24]) ).
cnf(d149,plain,
( 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d148,d144]) ).
cnf(d150,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d149,c95]) ).
cnf(d151,plain,
( 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d150,d136]) ).
cnf(d152,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d151,c93]) ).
cnf(d153,plain,
( 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d152,d136]) ).
cnf(d154,plain,
( ~ 'vertical$u3$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d153,c96]) ).
cnf(d155,plain,
( 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d154,d136]) ).
cnf(d156,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d111,c95]) ).
cnf(d157,plain,
( 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| ~ 'vertical$u3$u3'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d91,d156]) ).
cnf(d158,plain,
( 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d136,d157]) ).
cnf(d159,plain,
( ~ 'vertical$u4$u1'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d158,c82]) ).
cnf(d160,plain,
( 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u2$u5'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d159,d49]) ).
cnf(d161,plain,
( ~ 'horizontal$u2$u4'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d160,c55]) ).
cnf(d162,plain,
( 'vertical$u2$u4'
| 'vertical$u1$u4'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d161,d107]) ).
cnf(d163,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d162,c95]) ).
cnf(d164,plain,
( 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d163,d136]) ).
cnf(d165,plain,
( ~ 'vertical$u3$u4'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d164,c73]) ).
cnf(d166,plain,
( 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d155,d165]) ).
cnf(d167,plain,
( ~ 'horizontal$u1$u4'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d166,c30]) ).
cnf(d168,plain,
( 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d167,d123]) ).
cnf(d169,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d168,c95]) ).
cnf(d170,plain,
( 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d169,d136]) ).
cnf(d171,plain,
( ~ 'vertical$u4$u1'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d170,c82]) ).
cnf(d172,plain,
( 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'vertical$u2$u5'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d171,d49]) ).
cnf(d173,plain,
( ~ 'vertical$u1$u5'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d172,c56]) ).
cnf(d174,plain,
( 'horizontal$u1$u4'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d173,c8]) ).
cnf(d175,plain,
( 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d174,d167]) ).
cnf(d176,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d175,c95]) ).
cnf(d177,plain,
( 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d176,d136]) ).
cnf(d178,plain,
( ~ 'vertical$u3$u4'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d177,c73]) ).
cnf(d179,plain,
( 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d178,d155]) ).
cnf(d180,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d179,c96]) ).
cnf(d181,plain,
( 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d180,d136]) ).
cnf(d182,plain,
( ~ 'horizontal$u3$u1'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d181,c62]) ).
cnf(d183,plain,
( 'horizontal$u4$u2'
| 'vertical$u3$u2'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d182,d27]) ).
cnf(d184,plain,
( 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u1'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d183,d31]) ).
cnf(d185,plain,
( 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d184,d182]) ).
cnf(d186,plain,
( ~ 'horizontal$u4$u2'
| 'vertical$u3$u4'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d185,c92]) ).
cnf(d187,plain,
( 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d186,d183]) ).
cnf(d188,plain,
( ~ 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d91,d56]) ).
cnf(d189,plain,
( 'horizontal$u3$u4'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'vertical$u1$u4'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d183,d188]) ).
cnf(d190,plain,
( ~ 'vertical$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d189,c73]) ).
cnf(d191,plain,
( 'vertical$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'vertical$u1$u4'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d187,d190]) ).
cnf(d192,plain,
( 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d191,d182]) ).
cnf(d193,plain,
( ~ 'horizontal$u1$u4'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d192,c30]) ).
cnf(d194,plain,
( 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'horizontal$u3$u1'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d193,d53]) ).
cnf(d195,plain,
( ~ 'horizontal$u4$u2'
| 'horizontal$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d194,c94]) ).
cnf(d196,plain,
( 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d195,d183]) ).
cnf(d197,plain,
( ~ 'vertical$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d196,c73]) ).
cnf(d198,plain,
( 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d197,d187]) ).
cnf(d199,plain,
( 'vertical$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d198,d182]) ).
cnf(d200,plain,
( ~ 'horizontal$u3$u1'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d199,c64]) ).
cnf(d201,plain,
( 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d91,d55]) ).
cnf(d202,plain,
( 'horizontal$u3$u4'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'vertical$u1$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d106,d201]) ).
cnf(d203,plain,
( ~ 'horizontal$u3$u3'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d202,c74]) ).
cnf(d204,plain,
( 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d203,d78]) ).
cnf(d205,plain,
( 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d200,d204]) ).
cnf(d206,plain,
( ~ 'horizontal$u1$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d205,c30]) ).
cnf(d207,plain,
( 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'horizontal$u3$u1'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d206,d53]) ).
cnf(d208,plain,
( 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u3$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d207,d106]) ).
cnf(d209,plain,
( ~ 'horizontal$u3$u3'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d208,c74]) ).
cnf(d210,plain,
( 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d209,d78]) ).
cnf(d211,plain,
( 'vertical$u2$u4'
| 'vertical$u3$u4'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d210,d200]) ).
cnf(d212,plain,
( ~ 'horizontal$u3$u3'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d211,c76]) ).
cnf(d213,plain,
( 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d212,d78]) ).
cnf(d214,plain,
( 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u1'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d213,d17]) ).
cnf(d215,plain,
( 'vertical$u2$u4'
| 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d214,d200]) ).
cnf(d216,plain,
( ~ 'vertical$u3$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d215,c93]) ).
cnf(d217,plain,
( 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d216,d213]) ).
cnf(d218,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u3$u4'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'horizontal$u2$u3'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d55,c95]) ).
cnf(d219,plain,
( 'horizontal$u3$u4'
| ~ 'vertical$u3$u3'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d91,d218]) ).
cnf(d220,plain,
( 'horizontal$u3$u4'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'vertical$u1$u4'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d213,d219]) ).
cnf(d221,plain,
( ~ 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d220,c73]) ).
cnf(d222,plain,
( 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d221,d217]) ).
cnf(d223,plain,
( 'vertical$u2$u4'
| 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'vertical$u1$u4' ),
inference(resolution,[status(thm)],[d222,d200]) ).
cnf(d224,plain,
( ~ 'horizontal$u1$u4'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d223,c30]) ).
cnf(d225,plain,
( 'vertical$u4$u3'
| 'horizontal$u3$u4'
| 'horizontal$u3$u1'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d224,d53]) ).
cnf(d226,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d225,c95]) ).
cnf(d227,plain,
( 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u3$u4'
| 'horizontal$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d226,d213]) ).
cnf(d228,plain,
( ~ 'vertical$u3$u4'
| 'horizontal$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d227,c73]) ).
cnf(d229,plain,
( 'horizontal$u3$u2'
| 'vertical$u2$u4'
| 'horizontal$u3$u2'
| 'horizontal$u3$u1'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d228,d217]) ).
cnf(d230,plain,
( 'vertical$u2$u4'
| 'horizontal$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d229,d200]) ).
cnf(d231,plain,
( ~ 'vertical$u3$u2'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d230,c61]) ).
cnf(d232,plain,
( 'vertical$u2$u4'
| 'vertical$u2$u4' ),
inference(resolution,[status(thm)],[d231,d199]) ).
cnf(d233,plain,
( 'vertical$u3$u3'
| 'horizontal$u3$u2' ),
inference(resolution,[status(thm)],[d232,d77]) ).
cnf(d234,plain,
( 'horizontal$u4$u3'
| 'vertical$u3$u4'
| 'horizontal$u3$u1'
| 'horizontal$u3$u2' ),
inference(resolution,[status(thm)],[d233,d17]) ).
cnf(d235,plain,
~ 'vertical$u3$u4',
inference(resolution,[status(thm)],[d232,c77]) ).
cnf(d236,plain,
( 'horizontal$u4$u3'
| 'horizontal$u3$u2'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d235,d234]) ).
cnf(d237,plain,
( 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'vertical$u3$u4'
| 'vertical$u3$u2'
| 'horizontal$u3$u2' ),
inference(resolution,[status(thm)],[d233,d142]) ).
cnf(d238,plain,
( 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u4$u1'
| 'horizontal$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d235,d237]) ).
cnf(d239,plain,
( ~ 'vertical$u4$u1'
| 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d238,c82]) ).
cnf(d240,plain,
( 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'vertical$u4$u1' ),
inference(resolution,[status(thm)],[d235,d9]) ).
cnf(d241,plain,
( 'horizontal$u4$u4'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d239,d240]) ).
cnf(d242,plain,
( 'horizontal$u5$u2'
| 'vertical$u4$u3'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d241,d5]) ).
cnf(d243,plain,
( ~ 'horizontal$u5$u1'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d242,c107]) ).
cnf(d244,plain,
( 'vertical$u4$u1'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d243,c24]) ).
cnf(d245,plain,
( 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2'
| 'horizontal$u4$u3'
| 'vertical$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d244,d239]) ).
cnf(d246,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d245,c95]) ).
cnf(d247,plain,
( 'horizontal$u3$u2'
| 'horizontal$u4$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d246,d233]) ).
cnf(d248,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d247,c93]) ).
cnf(d249,plain,
( 'horizontal$u3$u2'
| 'horizontal$u4$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d248,d233]) ).
cnf(d250,plain,
( ~ 'vertical$u3$u3'
| 'horizontal$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d249,c96]) ).
cnf(d251,plain,
( 'horizontal$u3$u2'
| 'horizontal$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d250,d233]) ).
cnf(d252,plain,
( ~ 'horizontal$u3$u1'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d251,c62]) ).
cnf(d253,plain,
( 'horizontal$u4$u2'
| 'vertical$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d252,d27]) ).
cnf(d254,plain,
( 'horizontal$u4$u3'
| ~ 'horizontal$u4$u2'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d235,d31]) ).
cnf(d255,plain,
( 'horizontal$u4$u3'
| 'horizontal$u3$u1'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d253,d254]) ).
cnf(d256,plain,
( 'vertical$u3$u2'
| 'horizontal$u4$u3'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d255,d252]) ).
cnf(d257,plain,
( ~ 'horizontal$u4$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d256,c92]) ).
cnf(d258,plain,
( 'vertical$u3$u2'
| 'vertical$u3$u2' ),
inference(resolution,[status(thm)],[d257,d253]) ).
cnf(d259,plain,
~ 'horizontal$u3$u2',
inference(resolution,[status(thm)],[d258,c61]) ).
cnf(d260,plain,
( 'horizontal$u4$u3'
| 'horizontal$u3$u1' ),
inference(resolution,[status(thm)],[d259,d236]) ).
cnf(d261,plain,
~ 'horizontal$u3$u1',
inference(resolution,[status(thm)],[d258,c64]) ).
cnf(d262,plain,
'horizontal$u4$u3',
inference(resolution,[status(thm)],[d261,d260]) ).
cnf(d263,plain,
'vertical$u3$u3',
inference(resolution,[status(thm)],[d259,d233]) ).
cnf(d264,plain,
~ 'horizontal$u4$u3',
inference(resolution,[status(thm)],[d263,c93]) ).
cnf(d265,plain,
$false,
inference(resolution,[status(thm)],[d264,d262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ016-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n004.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 05:04:37 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.93/3.65 % SZS status Unsatisfiable for theBenchmark.p
% 13.93/3.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------