TSTP Solution File: PUZ016-2.005 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:24:10 EDT 2022
% Result : Unsatisfiable 6.45s 6.68s
% Output : Refutation 6.45s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(unique_cover5_3_4,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_2_4 ),
input ).
cnf(unique_cover4_1_5,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_1_4 ),
input ).
cnf(unique_cover5_4_5,negated_conjecture,
( ~ vertical_4_5
| ~ vertical_3_5 ),
input ).
cnf(covered_3_5,negated_conjecture,
( vertical_3_5
| horizontal_3_4
| vertical_2_5 ),
input ).
cnf(covered_1_5,negated_conjecture,
( vertical_1_5
| horizontal_1_4 ),
input ).
cnf(unique_cover5_2_5,negated_conjecture,
( ~ vertical_2_5
| ~ vertical_1_5 ),
input ).
cnf(c31,plain,
( ~ vertical_2_5
| horizontal_1_4 ),
inference(resolution,status(thm),[unique_cover5_2_5,covered_1_5]) ).
cnf(c158,plain,
( horizontal_1_4
| vertical_3_5
| horizontal_3_4 ),
inference(resolution,status(thm),[c31,covered_3_5]) ).
cnf(c294,plain,
( horizontal_1_4
| horizontal_3_4
| ~ vertical_4_5 ),
inference(resolution,status(thm),[c158,unique_cover5_4_5]) ).
cnf(unique_cover6_4_5,negated_conjecture,
( ~ horizontal_4_4
| ~ vertical_3_5 ),
input ).
cnf(unique_cover2_3_4,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_3_3 ),
input ).
cnf(unique_cover3_5_3,negated_conjecture,
( ~ horizontal_5_3
| ~ vertical_4_3 ),
input ).
cnf(unique_cover2_5_3,negated_conjecture,
( ~ horizontal_5_3
| ~ horizontal_5_2 ),
input ).
cnf(covered_5_5,negated_conjecture,
( horizontal_5_4
| vertical_4_5 ),
input ).
cnf(covered_5_3,negated_conjecture,
( horizontal_5_3
| horizontal_5_2
| vertical_4_3 ),
input ).
cnf(unique_cover2_5_4,negated_conjecture,
( ~ horizontal_5_4
| ~ horizontal_5_3 ),
input ).
cnf(c143,plain,
( ~ horizontal_5_4
| horizontal_5_2
| vertical_4_3 ),
inference(resolution,status(thm),[unique_cover2_5_4,covered_5_3]) ).
cnf(c287,plain,
( horizontal_5_2
| vertical_4_3
| vertical_4_5 ),
inference(resolution,status(thm),[c143,covered_5_5]) ).
cnf(c376,plain,
( vertical_4_3
| vertical_4_5
| ~ horizontal_5_3 ),
inference(resolution,status(thm),[c287,unique_cover2_5_3]) ).
cnf(unique_cover3_5_1,negated_conjecture,
( ~ horizontal_5_1
| ~ vertical_4_1 ),
input ).
cnf(covered_5_1,negated_conjecture,
( horizontal_5_1
| vertical_4_1 ),
input ).
cnf(unique_cover2_5_2,negated_conjecture,
( ~ horizontal_5_2
| ~ horizontal_5_1 ),
input ).
cnf(c130,plain,
( ~ horizontal_5_2
| vertical_4_1 ),
inference(resolution,status(thm),[unique_cover2_5_2,covered_5_1]) ).
cnf(c168,plain,
( vertical_4_1
| horizontal_5_3
| vertical_4_3 ),
inference(resolution,status(thm),[c130,covered_5_3]) ).
cnf(c302,plain,
( horizontal_5_3
| vertical_4_3
| ~ horizontal_5_1 ),
inference(resolution,status(thm),[c168,unique_cover3_5_1]) ).
cnf(unique_cover3_5_2,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_4_2 ),
input ).
cnf(unique_cover4_3_2,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_1 ),
input ).
cnf(unique_cover5_4_1,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_3_1 ),
input ).
cnf(uncovered3_1_2,negated_conjecture,
~ horizontal_1_1,
input ).
cnf(covered_1_1,negated_conjecture,
( horizontal_1_1
| vertical_1_1 ),
input ).
cnf(c0,plain,
vertical_1_1,
inference(resolution,status(thm),[covered_1_1,uncovered3_1_2]) ).
cnf(unique_cover5_2_1,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_1_1 ),
input ).
cnf(c6,plain,
~ vertical_2_1,
inference(resolution,status(thm),[unique_cover5_2_1,c0]) ).
cnf(covered_3_1,negated_conjecture,
( horizontal_3_1
| vertical_3_1
| vertical_2_1 ),
input ).
cnf(c32,plain,
( horizontal_3_1
| vertical_3_1 ),
inference(resolution,status(thm),[covered_3_1,c6]) ).
cnf(c163,plain,
( horizontal_3_1
| ~ vertical_4_1 ),
inference(resolution,status(thm),[c32,unique_cover5_4_1]) ).
cnf(c190,plain,
( horizontal_3_1
| horizontal_5_1 ),
inference(resolution,status(thm),[c163,covered_5_1]) ).
cnf(c205,plain,
( horizontal_5_1
| ~ vertical_3_2 ),
inference(resolution,status(thm),[c190,unique_cover4_3_2]) ).
cnf(covered_4_2,negated_conjecture,
( horizontal_4_2
| vertical_4_2
| horizontal_4_1
| vertical_3_2 ),
input ).
cnf(unique_cover1_4_1,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_4_1 ),
input ).
cnf(c80,plain,
( ~ horizontal_4_1
| horizontal_5_1 ),
inference(resolution,status(thm),[unique_cover1_4_1,covered_5_1]) ).
cnf(c166,plain,
( horizontal_5_1
| horizontal_4_2
| vertical_4_2
| vertical_3_2 ),
inference(resolution,status(thm),[c80,covered_4_2]) ).
cnf(c659,plain,
( horizontal_5_1
| horizontal_4_2
| vertical_4_2 ),
inference(resolution,status(thm),[c166,c205]) ).
cnf(unique_cover6_4_3,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_3_3 ),
input ).
cnf(unique_cover1_3_1,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_3_1 ),
input ).
cnf(unique_cover4_2_3,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_2 ),
input ).
cnf(unique_cover6_3_2,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_2_2 ),
input ).
cnf(uncovered2_1_2,negated_conjecture,
~ vertical_1_2,
input ).
cnf(unique_cover3_2_1,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_1_1 ),
input ).
cnf(c5,plain,
~ horizontal_2_1,
inference(resolution,status(thm),[unique_cover3_2_1,c0]) ).
cnf(covered_2_2,negated_conjecture,
( horizontal_2_2
| vertical_2_2
| horizontal_2_1
| vertical_1_2 ),
input ).
cnf(c7,plain,
( horizontal_2_2
| vertical_2_2
| vertical_1_2 ),
inference(resolution,status(thm),[covered_2_2,c5]) ).
cnf(c184,plain,
( horizontal_2_2
| vertical_2_2 ),
inference(resolution,status(thm),[c7,uncovered2_1_2]) ).
cnf(c202,plain,
( horizontal_2_2
| ~ horizontal_3_1 ),
inference(resolution,status(thm),[c184,unique_cover6_3_2]) ).
cnf(c215,plain,
( horizontal_2_2
| vertical_3_1 ),
inference(resolution,status(thm),[c202,c32]) ).
cnf(c238,plain,
( vertical_3_1
| ~ vertical_2_3 ),
inference(resolution,status(thm),[c215,unique_cover4_2_3]) ).
cnf(covered_3_3,negated_conjecture,
( horizontal_3_3
| vertical_3_3
| horizontal_3_2
| vertical_2_3 ),
input ).
cnf(unique_cover2_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_1 ),
input ).
cnf(c159,plain,
( vertical_3_1
| ~ horizontal_3_2 ),
inference(resolution,status(thm),[c32,unique_cover2_3_2]) ).
cnf(c176,plain,
( vertical_3_1
| horizontal_3_3
| vertical_3_3
| vertical_2_3 ),
inference(resolution,status(thm),[c159,covered_3_3]) ).
cnf(c741,plain,
( vertical_3_1
| horizontal_3_3
| vertical_3_3 ),
inference(resolution,status(thm),[c176,c238]) ).
cnf(c744,plain,
( horizontal_3_3
| vertical_3_3
| ~ horizontal_3_1 ),
inference(resolution,status(thm),[c741,unique_cover1_3_1]) ).
cnf(c764,plain,
( horizontal_3_3
| vertical_3_3
| horizontal_5_1 ),
inference(resolution,status(thm),[c744,c190]) ).
cnf(c829,plain,
( horizontal_3_3
| horizontal_5_1
| ~ horizontal_4_2 ),
inference(resolution,status(thm),[c764,unique_cover6_4_3]) ).
cnf(c855,plain,
( horizontal_3_3
| horizontal_5_1
| vertical_4_2 ),
inference(resolution,status(thm),[c829,c659]) ).
cnf(c904,plain,
( horizontal_3_3
| horizontal_5_1
| ~ horizontal_5_2 ),
inference(resolution,status(thm),[c855,unique_cover3_5_2]) ).
cnf(unique_cover5_4_3,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_3_3 ),
input ).
cnf(c828,plain,
( horizontal_3_3
| horizontal_5_1
| ~ vertical_4_3 ),
inference(resolution,status(thm),[c764,unique_cover5_4_3]) ).
cnf(c851,plain,
( horizontal_3_3
| horizontal_5_1
| horizontal_5_3
| horizontal_5_2 ),
inference(resolution,status(thm),[c828,covered_5_3]) ).
cnf(c3764,plain,
( horizontal_3_3
| horizontal_5_1
| horizontal_5_3 ),
inference(resolution,status(thm),[c851,c904]) ).
cnf(c3789,plain,
( horizontal_3_3
| horizontal_5_3
| vertical_4_3 ),
inference(resolution,status(thm),[c3764,c302]) ).
cnf(c3851,plain,
( horizontal_3_3
| vertical_4_3
| vertical_4_5 ),
inference(resolution,status(thm),[c3789,c376]) ).
cnf(c3963,plain,
( horizontal_3_3
| vertical_4_5
| ~ horizontal_5_3 ),
inference(resolution,status(thm),[c3851,unique_cover3_5_3]) ).
cnf(unique_cover1_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_2 ),
input ).
cnf(c206,plain,
( horizontal_3_1
| ~ horizontal_5_2 ),
inference(resolution,status(thm),[c190,unique_cover2_5_2]) ).
cnf(c233,plain,
( horizontal_3_1
| horizontal_5_3
| vertical_4_3 ),
inference(resolution,status(thm),[c206,covered_5_3]) ).
cnf(unique_cover4_4_3,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_4_2 ),
input ).
cnf(unique_cover3_4_1,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_3_1 ),
input ).
cnf(c162,plain,
( horizontal_3_1
| ~ horizontal_4_1 ),
inference(resolution,status(thm),[c32,unique_cover3_4_1]) ).
cnf(unique_cover6_5_2,negated_conjecture,
( ~ horizontal_5_1
| ~ vertical_4_2 ),
input ).
cnf(c134,plain,
( ~ horizontal_5_1
| horizontal_4_2
| horizontal_4_1
| vertical_3_2 ),
inference(resolution,status(thm),[unique_cover6_5_2,covered_4_2]) ).
cnf(c620,plain,
( horizontal_4_2
| horizontal_4_1
| vertical_3_2
| horizontal_3_1 ),
inference(resolution,status(thm),[c134,c190]) ).
cnf(c2175,plain,
( horizontal_4_2
| vertical_3_2
| horizontal_3_1 ),
inference(resolution,status(thm),[c620,c162]) ).
cnf(c2196,plain,
( vertical_3_2
| horizontal_3_1
| ~ vertical_4_3 ),
inference(resolution,status(thm),[c2175,unique_cover4_4_3]) ).
cnf(c2213,plain,
( vertical_3_2
| horizontal_3_1
| horizontal_5_3 ),
inference(resolution,status(thm),[c2196,c233]) ).
cnf(c757,plain,
( vertical_3_1
| horizontal_3_3
| ~ vertical_4_3 ),
inference(resolution,status(thm),[c741,unique_cover5_4_3]) ).
cnf(c3862,plain,
( horizontal_3_3
| horizontal_5_3
| vertical_3_1 ),
inference(resolution,status(thm),[c3789,c757]) ).
cnf(c3987,plain,
( horizontal_3_3
| horizontal_5_3
| ~ horizontal_3_1 ),
inference(resolution,status(thm),[c3862,unique_cover1_3_1]) ).
cnf(c4247,plain,
( horizontal_3_3
| horizontal_5_3
| vertical_3_2 ),
inference(resolution,status(thm),[c3987,c2213]) ).
cnf(c4422,plain,
( horizontal_3_3
| horizontal_5_3
| ~ horizontal_3_2 ),
inference(resolution,status(thm),[c4247,unique_cover1_3_2]) ).
cnf(c213,plain,
( horizontal_2_2
| horizontal_5_1 ),
inference(resolution,status(thm),[c202,c190]) ).
cnf(c237,plain,
( horizontal_2_2
| ~ horizontal_5_2 ),
inference(resolution,status(thm),[c213,unique_cover2_5_2]) ).
cnf(c247,plain,
( horizontal_2_2
| horizontal_5_3
| vertical_4_3 ),
inference(resolution,status(thm),[c237,covered_5_3]) ).
cnf(c241,plain,
( horizontal_2_2
| ~ horizontal_4_1 ),
inference(resolution,status(thm),[c215,unique_cover3_4_1]) ).
cnf(unique_cover5_3_2,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_2_2 ),
input ).
cnf(c203,plain,
( horizontal_2_2
| ~ vertical_3_2 ),
inference(resolution,status(thm),[c184,unique_cover5_3_2]) ).
cnf(c216,plain,
( horizontal_2_2
| horizontal_4_2
| vertical_4_2
| horizontal_4_1 ),
inference(resolution,status(thm),[c203,covered_4_2]) ).
cnf(c1014,plain,
( horizontal_2_2
| horizontal_4_2
| vertical_4_2 ),
inference(resolution,status(thm),[c216,c241]) ).
cnf(c1033,plain,
( horizontal_2_2
| horizontal_4_2
| ~ horizontal_5_1 ),
inference(resolution,status(thm),[c1014,unique_cover6_5_2]) ).
cnf(c1054,plain,
( horizontal_2_2
| horizontal_4_2 ),
inference(resolution,status(thm),[c1033,c213]) ).
cnf(c1066,plain,
( horizontal_2_2
| ~ vertical_4_3 ),
inference(resolution,status(thm),[c1054,unique_cover4_4_3]) ).
cnf(c1075,plain,
( horizontal_2_2
| horizontal_5_3 ),
inference(resolution,status(thm),[c1066,c247]) ).
cnf(c1086,plain,
( horizontal_5_3
| ~ vertical_2_3 ),
inference(resolution,status(thm),[c1075,unique_cover4_2_3]) ).
cnf(c1106,plain,
( horizontal_5_3
| horizontal_3_3
| vertical_3_3
| horizontal_3_2 ),
inference(resolution,status(thm),[c1086,covered_3_3]) ).
cnf(c7363,plain,
( horizontal_5_3
| horizontal_3_3
| vertical_3_3 ),
inference(resolution,status(thm),[c1106,c4422]) ).
cnf(c7386,plain,
( horizontal_5_3
| horizontal_3_3
| ~ vertical_4_3 ),
inference(resolution,status(thm),[c7363,unique_cover5_4_3]) ).
cnf(c7487,plain,
( horizontal_5_3
| horizontal_3_3 ),
inference(resolution,status(thm),[c7386,c3789]) ).
cnf(c7504,plain,
( horizontal_3_3
| vertical_4_5 ),
inference(resolution,status(thm),[c7487,c3963]) ).
cnf(c7536,plain,
( vertical_4_5
| ~ horizontal_3_4 ),
inference(resolution,status(thm),[c7504,unique_cover2_3_4]) ).
cnf(c7625,plain,
( vertical_4_5
| horizontal_1_4
| vertical_3_5 ),
inference(resolution,status(thm),[c7536,c158]) ).
cnf(c7875,plain,
( vertical_4_5
| horizontal_1_4
| ~ horizontal_4_4 ),
inference(resolution,status(thm),[c7625,unique_cover6_4_5]) ).
cnf(unique_cover1_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_4_3 ),
input ).
cnf(c377,plain,
( horizontal_5_2
| vertical_4_5
| ~ horizontal_4_3 ),
inference(resolution,status(thm),[c287,unique_cover1_4_3]) ).
cnf(covered_4_4,negated_conjecture,
( horizontal_4_4
| vertical_4_4
| horizontal_4_3
| vertical_3_4 ),
input ).
cnf(unique_cover3_5_4,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_4_4 ),
input ).
cnf(c144,plain,
( ~ horizontal_5_4
| horizontal_4_4
| horizontal_4_3
| vertical_3_4 ),
inference(resolution,status(thm),[unique_cover3_5_4,covered_4_4]) ).
cnf(c632,plain,
( horizontal_4_4
| horizontal_4_3
| vertical_3_4
| vertical_4_5 ),
inference(resolution,status(thm),[c144,covered_5_5]) ).
cnf(unique_cover4_3_4,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_3_3 ),
input ).
cnf(c7534,plain,
( vertical_4_5
| ~ vertical_3_4 ),
inference(resolution,status(thm),[c7504,unique_cover4_3_4]) ).
cnf(c7592,plain,
( vertical_4_5
| horizontal_4_4
| horizontal_4_3 ),
inference(resolution,status(thm),[c7534,c632]) ).
cnf(c7842,plain,
( vertical_4_5
| horizontal_4_4
| horizontal_5_2 ),
inference(resolution,status(thm),[c7592,c377]) ).
cnf(unique_cover6_5_3,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_4_3 ),
input ).
cnf(unique_cover2_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_2 ),
input ).
cnf(c676,plain,
( horizontal_5_1
| horizontal_4_2
| ~ horizontal_5_2 ),
inference(resolution,status(thm),[c659,unique_cover3_5_2]) ).
cnf(c694,plain,
( horizontal_5_1
| horizontal_4_2
| horizontal_5_3
| vertical_4_3 ),
inference(resolution,status(thm),[c676,covered_5_3]) ).
cnf(c2777,plain,
( horizontal_4_2
| horizontal_5_3
| vertical_4_3 ),
inference(resolution,status(thm),[c694,c302]) ).
cnf(c2818,plain,
( horizontal_4_2
| vertical_4_3
| vertical_4_5 ),
inference(resolution,status(thm),[c2777,c376]) ).
cnf(c2858,plain,
( vertical_4_3
| vertical_4_5
| ~ horizontal_4_3 ),
inference(resolution,status(thm),[c2818,unique_cover2_4_3]) ).
cnf(c7841,plain,
( vertical_4_5
| horizontal_4_4
| vertical_4_3 ),
inference(resolution,status(thm),[c7592,c2858]) ).
cnf(c8403,plain,
( vertical_4_5
| horizontal_4_4
| ~ horizontal_5_2 ),
inference(resolution,status(thm),[c7841,unique_cover6_5_3]) ).
cnf(c8973,plain,
( vertical_4_5
| horizontal_4_4 ),
inference(resolution,status(thm),[c8403,c7842]) ).
cnf(c8999,plain,
( vertical_4_5
| horizontal_1_4 ),
inference(resolution,status(thm),[c8973,c7875]) ).
cnf(c9035,plain,
( horizontal_1_4
| horizontal_3_4 ),
inference(resolution,status(thm),[c8999,c294]) ).
cnf(unique_cover1_3_4,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_3_4 ),
input ).
cnf(unique_cover6_5_4,negated_conjecture,
( ~ horizontal_5_3
| ~ vertical_4_4 ),
input ).
cnf(unique_cover4_4_5,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_4_4 ),
input ).
cnf(c121,plain,
( ~ vertical_4_5
| vertical_4_4
| horizontal_4_3
| vertical_3_4 ),
inference(resolution,status(thm),[unique_cover4_4_5,covered_4_4]) ).
cnf(unique_cover6_3_4,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_2_4 ),
input ).
cnf(c7628,plain,
( vertical_4_5
| vertical_3_5
| vertical_2_5 ),
inference(resolution,status(thm),[c7536,covered_3_5]) ).
cnf(c7889,plain,
( vertical_4_5
| vertical_2_5
| ~ horizontal_4_4 ),
inference(resolution,status(thm),[c7628,unique_cover6_4_5]) ).
cnf(c8998,plain,
( vertical_4_5
| vertical_2_5 ),
inference(resolution,status(thm),[c8973,c7889]) ).
cnf(unique_cover4_2_5,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_2_4 ),
input ).
cnf(c9041,plain,
( vertical_4_5
| ~ vertical_1_5 ),
inference(resolution,status(thm),[c8999,unique_cover4_1_5]) ).
cnf(unique_cover2_2_3,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_2_2 ),
input ).
cnf(c374,plain,
( vertical_4_3
| vertical_4_5
| horizontal_2_2 ),
inference(resolution,status(thm),[c287,c237]) ).
cnf(c1079,plain,
( horizontal_2_2
| vertical_4_5 ),
inference(resolution,status(thm),[c1066,c374]) ).
cnf(c1099,plain,
( vertical_4_5
| ~ horizontal_2_3 ),
inference(resolution,status(thm),[c1079,unique_cover2_2_3]) ).
cnf(unique_cover1_1_4,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_1_4 ),
input ).
cnf(covered_2_4,negated_conjecture,
( horizontal_2_4
| vertical_2_4
| horizontal_2_3
| vertical_1_4 ),
input ).
cnf(c16,plain,
( horizontal_2_4
| vertical_2_4
| horizontal_2_3
| ~ horizontal_1_4 ),
inference(resolution,status(thm),[covered_2_4,unique_cover1_1_4]) ).
cnf(c265,plain,
( horizontal_2_4
| vertical_2_4
| horizontal_2_3
| vertical_1_5 ),
inference(resolution,status(thm),[c16,covered_1_5]) ).
cnf(c1319,plain,
( horizontal_2_4
| vertical_2_4
| vertical_1_5
| vertical_4_5 ),
inference(resolution,status(thm),[c265,c1099]) ).
cnf(c10447,plain,
( horizontal_2_4
| vertical_2_4
| vertical_4_5 ),
inference(resolution,status(thm),[c1319,c9041]) ).
cnf(c10458,plain,
( vertical_2_4
| vertical_4_5
| ~ vertical_2_5 ),
inference(resolution,status(thm),[c10447,unique_cover4_2_5]) ).
cnf(c10479,plain,
( vertical_2_4
| vertical_4_5 ),
inference(resolution,status(thm),[c10458,c8998]) ).
cnf(c10485,plain,
( vertical_4_5
| ~ horizontal_3_3 ),
inference(resolution,status(thm),[c10479,unique_cover6_3_4]) ).
cnf(c10495,plain,
vertical_4_5,
inference(resolution,status(thm),[c10485,c7504]) ).
cnf(c10513,plain,
( vertical_4_4
| horizontal_4_3
| vertical_3_4 ),
inference(resolution,status(thm),[c10495,c121]) ).
cnf(c10644,plain,
( horizontal_4_3
| vertical_3_4
| ~ horizontal_5_3 ),
inference(resolution,status(thm),[c10513,unique_cover6_5_4]) ).
cnf(c10704,plain,
( horizontal_4_3
| vertical_3_4
| horizontal_3_3 ),
inference(resolution,status(thm),[c10644,c7487]) ).
cnf(unique_cover3_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_3_3 ),
input ).
cnf(unique_cover3_4_2,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_3_2 ),
input ).
cnf(c239,plain,
( vertical_3_1
| ~ horizontal_2_3 ),
inference(resolution,status(thm),[c215,unique_cover2_2_3]) ).
cnf(c251,plain,
( vertical_3_1
| horizontal_2_4
| vertical_2_4
| vertical_1_4 ),
inference(resolution,status(thm),[c239,covered_2_4]) ).
cnf(c1158,plain,
( vertical_3_1
| horizontal_2_4
| vertical_2_4
| ~ horizontal_1_4 ),
inference(resolution,status(thm),[c251,unique_cover1_1_4]) ).
cnf(c123,plain,
( ~ vertical_4_5
| horizontal_3_4
| vertical_2_5 ),
inference(resolution,status(thm),[unique_cover5_4_5,covered_3_5]) ).
cnf(c270,plain,
( horizontal_3_4
| vertical_2_5
| horizontal_5_4 ),
inference(resolution,status(thm),[c123,covered_5_5]) ).
cnf(c753,plain,
( vertical_3_1
| vertical_3_3
| ~ horizontal_3_4 ),
inference(resolution,status(thm),[c741,unique_cover2_3_4]) ).
cnf(c780,plain,
( vertical_3_1
| vertical_3_3
| vertical_2_5
| horizontal_5_4 ),
inference(resolution,status(thm),[c753,c270]) ).
cnf(unique_cover6_5_5,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_4_5 ),
input ).
cnf(c9023,plain,
( vertical_2_5
| ~ horizontal_5_4 ),
inference(resolution,status(thm),[c8998,unique_cover6_5_5]) ).
cnf(c9053,plain,
( vertical_2_5
| vertical_3_1
| vertical_3_3 ),
inference(resolution,status(thm),[c9023,c780]) ).
cnf(c9308,plain,
( vertical_2_5
| vertical_3_1
| ~ horizontal_4_3 ),
inference(resolution,status(thm),[c9053,unique_cover3_4_3]) ).
cnf(c9025,plain,
( vertical_2_5
| horizontal_3_4 ),
inference(resolution,status(thm),[c8998,c123]) ).
cnf(c7511,plain,
( horizontal_5_3
| ~ horizontal_3_4 ),
inference(resolution,status(thm),[c7487,unique_cover2_3_4]) ).
cnf(c7582,plain,
( horizontal_5_3
| vertical_3_5
| vertical_2_5 ),
inference(resolution,status(thm),[c7511,covered_3_5]) ).
cnf(c7795,plain,
( horizontal_5_3
| vertical_2_5
| ~ vertical_4_5 ),
inference(resolution,status(thm),[c7582,unique_cover5_4_5]) ).
cnf(c9026,plain,
( vertical_2_5
| horizontal_5_3 ),
inference(resolution,status(thm),[c8998,c7795]) ).
cnf(c10700,plain,
( horizontal_4_3
| vertical_3_4
| vertical_2_5 ),
inference(resolution,status(thm),[c10644,c9026]) ).
cnf(c10832,plain,
( horizontal_4_3
| vertical_2_5
| ~ horizontal_3_4 ),
inference(resolution,status(thm),[c10700,unique_cover1_3_4]) ).
cnf(c11093,plain,
( horizontal_4_3
| vertical_2_5 ),
inference(resolution,status(thm),[c10832,c9025]) ).
cnf(c11101,plain,
( vertical_2_5
| vertical_3_1 ),
inference(resolution,status(thm),[c11093,c9308]) ).
cnf(c11139,plain,
( vertical_3_1
| horizontal_1_4 ),
inference(resolution,status(thm),[c11101,c31]) ).
cnf(c11288,plain,
( vertical_3_1
| horizontal_2_4
| vertical_2_4 ),
inference(resolution,status(thm),[c11139,c1158]) ).
cnf(unique_cover3_2_4,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_1_4 ),
input ).
cnf(c1144,plain,
( vertical_3_1
| vertical_2_4
| vertical_1_4
| ~ vertical_2_5 ),
inference(resolution,status(thm),[c251,unique_cover4_2_5]) ).
cnf(c11144,plain,
( vertical_3_1
| vertical_2_4
| vertical_1_4 ),
inference(resolution,status(thm),[c11101,c1144]) ).
cnf(c11907,plain,
( vertical_3_1
| vertical_2_4
| ~ horizontal_2_4 ),
inference(resolution,status(thm),[c11144,unique_cover3_2_4]) ).
cnf(c12132,plain,
( vertical_3_1
| vertical_2_4 ),
inference(resolution,status(thm),[c11907,c11288]) ).
cnf(c12149,plain,
( vertical_3_1
| ~ vertical_3_4 ),
inference(resolution,status(thm),[c12132,unique_cover5_3_4]) ).
cnf(c759,plain,
( vertical_3_1
| horizontal_3_3
| ~ horizontal_4_3 ),
inference(resolution,status(thm),[c741,unique_cover3_4_3]) ).
cnf(c10866,plain,
( vertical_3_4
| horizontal_3_3
| vertical_3_1 ),
inference(resolution,status(thm),[c10704,c759]) ).
cnf(c12147,plain,
( vertical_3_1
| ~ horizontal_3_3 ),
inference(resolution,status(thm),[c12132,unique_cover6_3_4]) ).
cnf(c12193,plain,
( vertical_3_1
| vertical_3_4 ),
inference(resolution,status(thm),[c12147,c10866]) ).
cnf(c12279,plain,
vertical_3_1,
inference(resolution,status(thm),[c12193,c12149]) ).
cnf(c12285,plain,
~ horizontal_3_1,
inference(resolution,status(thm),[c12279,unique_cover1_3_1]) ).
cnf(c12291,plain,
( horizontal_4_2
| vertical_3_2 ),
inference(resolution,status(thm),[c12285,c2175]) ).
cnf(c12336,plain,
( vertical_3_2
| ~ horizontal_4_3 ),
inference(resolution,status(thm),[c12291,unique_cover2_4_3]) ).
cnf(c12288,plain,
( vertical_3_2
| horizontal_5_3 ),
inference(resolution,status(thm),[c12285,c2213]) ).
cnf(c12327,plain,
( vertical_3_2
| horizontal_4_3
| vertical_3_4 ),
inference(resolution,status(thm),[c12288,c10644]) ).
cnf(c12543,plain,
( vertical_3_2
| vertical_3_4 ),
inference(resolution,status(thm),[c12327,c12336]) ).
cnf(c12554,plain,
( vertical_3_4
| ~ horizontal_4_2 ),
inference(resolution,status(thm),[c12543,unique_cover3_4_2]) ).
cnf(c1058,plain,
( horizontal_4_2
| ~ vertical_2_3 ),
inference(resolution,status(thm),[c1054,unique_cover4_2_3]) ).
cnf(c1070,plain,
( horizontal_4_2
| horizontal_3_3
| vertical_3_3
| horizontal_3_2 ),
inference(resolution,status(thm),[c1058,covered_3_3]) ).
cnf(c12340,plain,
( horizontal_4_2
| ~ horizontal_3_2 ),
inference(resolution,status(thm),[c12291,unique_cover1_3_2]) ).
cnf(c12419,plain,
( horizontal_4_2
| horizontal_3_3
| vertical_3_3 ),
inference(resolution,status(thm),[c12340,c1070]) ).
cnf(c12638,plain,
( horizontal_3_3
| vertical_3_3
| vertical_3_4 ),
inference(resolution,status(thm),[c12419,c12554]) ).
cnf(c12735,plain,
( horizontal_3_3
| vertical_3_4
| ~ horizontal_4_3 ),
inference(resolution,status(thm),[c12638,unique_cover3_4_3]) ).
cnf(c12884,plain,
( horizontal_3_3
| vertical_3_4 ),
inference(resolution,status(thm),[c12735,c10704]) ).
cnf(c12897,plain,
( vertical_3_4
| ~ horizontal_3_4 ),
inference(resolution,status(thm),[c12884,unique_cover2_3_4]) ).
cnf(c12911,plain,
( vertical_3_4
| horizontal_1_4 ),
inference(resolution,status(thm),[c12897,c9035]) ).
cnf(c12943,plain,
( horizontal_1_4
| ~ horizontal_3_4 ),
inference(resolution,status(thm),[c12911,unique_cover1_3_4]) ).
cnf(c13001,plain,
horizontal_1_4,
inference(resolution,status(thm),[c12943,c9035]) ).
cnf(c13010,plain,
~ vertical_1_5,
inference(resolution,status(thm),[c13001,unique_cover4_1_5]) ).
cnf(c1298,plain,
( vertical_2_4
| horizontal_2_3
| vertical_1_5
| ~ vertical_2_5 ),
inference(resolution,status(thm),[c265,unique_cover4_2_5]) ).
cnf(c12914,plain,
( vertical_3_4
| vertical_2_5 ),
inference(resolution,status(thm),[c12897,c9025]) ).
cnf(c12958,plain,
( vertical_2_5
| ~ horizontal_3_4 ),
inference(resolution,status(thm),[c12914,unique_cover1_3_4]) ).
cnf(c13019,plain,
vertical_2_5,
inference(resolution,status(thm),[c12958,c9025]) ).
cnf(c13026,plain,
( vertical_2_4
| horizontal_2_3
| vertical_1_5 ),
inference(resolution,status(thm),[c13019,c1298]) ).
cnf(c13156,plain,
( vertical_2_4
| horizontal_2_3 ),
inference(resolution,status(thm),[c13026,c13010]) ).
cnf(c13159,plain,
( horizontal_2_3
| ~ vertical_3_4 ),
inference(resolution,status(thm),[c13156,unique_cover5_3_4]) ).
cnf(c13157,plain,
( horizontal_2_3
| ~ horizontal_3_3 ),
inference(resolution,status(thm),[c13156,unique_cover6_3_4]) ).
cnf(c13172,plain,
( horizontal_2_3
| vertical_3_4 ),
inference(resolution,status(thm),[c13157,c12884]) ).
cnf(c13269,plain,
horizontal_2_3,
inference(resolution,status(thm),[c13172,c13159]) ).
cnf(unique_cover1_2_3,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_3 ),
input ).
cnf(unique_cover3_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_2_2 ),
input ).
cnf(c201,plain,
( horizontal_2_2
| ~ horizontal_3_2 ),
inference(resolution,status(thm),[c184,unique_cover3_3_2]) ).
cnf(c211,plain,
( horizontal_2_2
| horizontal_3_3
| vertical_3_3
| vertical_2_3 ),
inference(resolution,status(thm),[c201,covered_3_3]) ).
cnf(c982,plain,
( horizontal_2_2
| horizontal_3_3
| vertical_2_3
| ~ horizontal_4_2 ),
inference(resolution,status(thm),[c211,unique_cover6_4_3]) ).
cnf(c5667,plain,
( horizontal_2_2
| horizontal_3_3
| vertical_2_3 ),
inference(resolution,status(thm),[c982,c1054]) ).
cnf(c5682,plain,
( horizontal_2_2
| vertical_2_3
| ~ vertical_3_4 ),
inference(resolution,status(thm),[c5667,unique_cover4_3_4]) ).
cnf(c1067,plain,
( horizontal_2_2
| ~ horizontal_4_3 ),
inference(resolution,status(thm),[c1054,unique_cover2_4_3]) ).
cnf(c145,plain,
( ~ horizontal_5_3
| horizontal_4_4
| horizontal_4_3
| vertical_3_4 ),
inference(resolution,status(thm),[unique_cover6_5_4,covered_4_4]) ).
cnf(c1096,plain,
( horizontal_2_2
| horizontal_4_4
| horizontal_4_3
| vertical_3_4 ),
inference(resolution,status(thm),[c1075,c145]) ).
cnf(c6281,plain,
( horizontal_2_2
| horizontal_4_4
| vertical_3_4 ),
inference(resolution,status(thm),[c1096,c1067]) ).
cnf(c6327,plain,
( horizontal_2_2
| vertical_3_4
| ~ vertical_4_5 ),
inference(resolution,status(thm),[c6281,unique_cover4_4_5]) ).
cnf(c6386,plain,
( horizontal_2_2
| vertical_3_4 ),
inference(resolution,status(thm),[c6327,c1079]) ).
cnf(c6419,plain,
( horizontal_2_2
| vertical_2_3 ),
inference(resolution,status(thm),[c6386,c5682]) ).
cnf(c6534,plain,
( vertical_2_3
| ~ horizontal_2_3 ),
inference(resolution,status(thm),[c6419,unique_cover2_2_3]) ).
cnf(c13285,plain,
vertical_2_3,
inference(resolution,status(thm),[c13269,c6534]) ).
cnf(c13302,plain,
~ horizontal_2_3,
inference(resolution,status(thm),[c13285,unique_cover1_2_3]) ).
cnf(c13319,plain,
$false,
inference(resolution,status(thm),[c13302,c13269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 23:05:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.45/6.68 # Version: 1.3
% 6.45/6.68 # SZS status Unsatisfiable
% 6.45/6.68 # SZS output start CNFRefutation
% See solution above
% 6.45/6.68
% 6.45/6.68 # Initial clauses : 117
% 6.45/6.68 # Processed clauses : 917
% 6.45/6.68 # Factors computed : 0
% 6.45/6.68 # Resolvents computed: 13320
% 6.45/6.68 # Tautologies deleted: 218
% 6.45/6.68 # Forward subsumed : 1746
% 6.45/6.68 # Backward subsumed : 855
% 6.45/6.68 # -------- CPU Time ---------
% 6.45/6.68 # User time : 6.302 s
% 6.45/6.68 # System time : 0.042 s
% 6.45/6.68 # Total time : 6.344 s
%------------------------------------------------------------------------------