TSTP Solution File: PUZ016-2.004 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : PUZ016-2.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 18:24:09 EDT 2022

% Result   : Satisfiable 0.67s 0.88s
% Output   : Saturation 0.67s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(unique_cover5_3_2,negated_conjecture,
    ( ~ vertical_3_2
    | ~ vertical_2_2 ),
    input ).

cnf(unique_cover4_2_3,negated_conjecture,
    ( ~ vertical_2_3
    | ~ horizontal_2_2 ),
    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_cover3_2_1,negated_conjecture,
    ( ~ horizontal_2_1
    | ~ vertical_1_1 ),
    input ).

cnf(c2,plain,
    ~ horizontal_2_1,
    inference(resolution,status(thm),[unique_cover3_2_1,c0]) ).

cnf(uncovered2_1_2,negated_conjecture,
    ~ vertical_1_2,
    input ).

cnf(covered_2_2,negated_conjecture,
    ( horizontal_2_2
    | vertical_2_2
    | horizontal_2_1
    | vertical_1_2 ),
    input ).

cnf(c3,plain,
    ( horizontal_2_2
    | vertical_2_2
    | horizontal_2_1 ),
    inference(resolution,status(thm),[covered_2_2,uncovered2_1_2]) ).

cnf(c79,plain,
    ( horizontal_2_2
    | vertical_2_2 ),
    inference(resolution,status(thm),[c3,c2]) ).

cnf(c94,plain,
    ( vertical_2_2
    | ~ vertical_2_3 ),
    inference(resolution,status(thm),[c79,unique_cover4_2_3]) ).

cnf(covered_4_4,negated_conjecture,
    ( horizontal_4_3
    | vertical_3_4 ),
    input ).

cnf(covered_3_3,negated_conjecture,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    input ).

cnf(unique_cover4_3_4,negated_conjecture,
    ( ~ vertical_3_4
    | ~ horizontal_3_3 ),
    input ).

cnf(c46,plain,
    ( ~ vertical_3_4
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference(resolution,status(thm),[unique_cover4_3_4,covered_3_3]) ).

cnf(c283,plain,
    ( vertical_3_3
    | horizontal_3_2
    | vertical_2_3
    | horizontal_4_3 ),
    inference(resolution,status(thm),[c46,covered_4_4]) ).

cnf(c420,plain,
    ( vertical_3_3
    | horizontal_3_2
    | horizontal_4_3
    | vertical_2_2 ),
    inference(resolution,status(thm),[c283,c94]) ).

cnf(c579,plain,
    ( vertical_3_3
    | horizontal_3_2
    | horizontal_4_3
    | ~ vertical_3_2 ),
    inference(resolution,status(thm),[c420,unique_cover5_3_2]) ).

cnf(unique_cover1_2_2,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ vertical_2_2 ),
    input ).

cnf(c578,plain,
    ( vertical_3_3
    | horizontal_3_2
    | horizontal_4_3
    | ~ horizontal_2_2 ),
    inference(resolution,status(thm),[c420,unique_cover1_2_2]) ).

cnf(unique_cover2_3_3,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ horizontal_3_2 ),
    input ).

cnf(c565,plain,
    ( vertical_3_3
    | horizontal_4_3
    | vertical_2_2
    | ~ horizontal_3_3 ),
    inference(resolution,status(thm),[c420,unique_cover2_3_3]) ).

cnf(unique_cover6_4_3,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_3_3 ),
    input ).

cnf(c560,plain,
    ( horizontal_3_2
    | horizontal_4_3
    | vertical_2_2
    | ~ horizontal_4_2 ),
    inference(resolution,status(thm),[c420,unique_cover6_4_3]) ).

cnf(unique_cover1_3_3,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_3_3 ),
    input ).

cnf(c559,plain,
    ( horizontal_3_2
    | horizontal_4_3
    | vertical_2_2
    | ~ horizontal_3_3 ),
    inference(resolution,status(thm),[c420,unique_cover1_3_3]) ).

cnf(unique_cover2_4_2,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ horizontal_4_1 ),
    input ).

cnf(covered_4_1,negated_conjecture,
    ( horizontal_4_1
    | vertical_3_1 ),
    input ).

cnf(unique_cover1_3_1,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_3_1 ),
    input ).

cnf(c20,plain,
    ( ~ horizontal_3_1
    | horizontal_4_1 ),
    inference(resolution,status(thm),[unique_cover1_3_1,covered_4_1]) ).

cnf(uncovered1_1_3,negated_conjecture,
    ~ horizontal_1_3,
    input ).

cnf(covered_1_4,negated_conjecture,
    ( vertical_1_4
    | horizontal_1_3 ),
    input ).

cnf(c1,plain,
    vertical_1_4,
    inference(resolution,status(thm),[covered_1_4,uncovered1_1_3]) ).

cnf(unique_cover6_2_4,negated_conjecture,
    ( ~ horizontal_2_3
    | ~ vertical_1_4 ),
    input ).

cnf(c16,plain,
    ~ horizontal_2_3,
    inference(resolution,status(thm),[unique_cover6_2_4,c1]) ).

cnf(uncovered2_1_3,negated_conjecture,
    ~ vertical_1_3,
    input ).

cnf(covered_2_3,negated_conjecture,
    ( horizontal_2_3
    | vertical_2_3
    | horizontal_2_2
    | vertical_1_3 ),
    input ).

cnf(c7,plain,
    ( horizontal_2_3
    | vertical_2_3
    | horizontal_2_2 ),
    inference(resolution,status(thm),[covered_2_3,uncovered2_1_3]) ).

cnf(c103,plain,
    ( vertical_2_3
    | horizontal_2_2 ),
    inference(resolution,status(thm),[c7,c16]) ).

cnf(covered_3_2,negated_conjecture,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    input ).

cnf(c18,plain,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | ~ horizontal_2_2 ),
    inference(resolution,status(thm),[covered_3_2,unique_cover1_2_2]) ).

cnf(c144,plain,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | vertical_2_3 ),
    inference(resolution,status(thm),[c18,c103]) ).

cnf(c360,plain,
    ( horizontal_3_2
    | vertical_3_2
    | vertical_2_3
    | horizontal_4_1 ),
    inference(resolution,status(thm),[c144,c20]) ).

cnf(c517,plain,
    ( horizontal_3_2
    | vertical_3_2
    | vertical_2_3
    | ~ horizontal_4_2 ),
    inference(resolution,status(thm),[c360,unique_cover2_4_2]) ).

cnf(unique_cover5_3_3,negated_conjecture,
    ( ~ vertical_3_3
    | ~ vertical_2_3 ),
    input ).

cnf(c512,plain,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_4_1
    | ~ vertical_3_3 ),
    inference(resolution,status(thm),[c360,unique_cover5_3_3]) ).

cnf(unique_cover3_3_3,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_2_3 ),
    input ).

cnf(c510,plain,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_4_1
    | ~ horizontal_3_3 ),
    inference(resolution,status(thm),[c360,unique_cover3_3_3]) ).

cnf(unique_cover3_4_2,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_3_2 ),
    input ).

cnf(c509,plain,
    ( horizontal_3_2
    | vertical_2_3
    | horizontal_4_1
    | ~ horizontal_4_2 ),
    inference(resolution,status(thm),[c360,unique_cover3_4_2]) ).

cnf(unique_cover4_3_3,negated_conjecture,
    ( ~ vertical_3_3
    | ~ horizontal_3_2 ),
    input ).

cnf(c503,plain,
    ( vertical_3_2
    | vertical_2_3
    | horizontal_4_1
    | ~ vertical_3_3 ),
    inference(resolution,status(thm),[c360,unique_cover4_3_3]) ).

cnf(c496,plain,
    ( vertical_3_2
    | vertical_2_3
    | horizontal_4_1
    | ~ horizontal_3_3 ),
    inference(resolution,status(thm),[c360,unique_cover2_3_3]) ).

cnf(c414,plain,
    ( vertical_3_3
    | horizontal_3_2
    | horizontal_4_3
    | ~ horizontal_3_3 ),
    inference(resolution,status(thm),[c283,unique_cover3_3_3]) ).

cnf(c406,plain,
    ( vertical_3_3
    | vertical_2_3
    | horizontal_4_3
    | ~ horizontal_3_3 ),
    inference(resolution,status(thm),[c283,unique_cover2_3_3]) ).

cnf(c402,plain,
    ( horizontal_3_2
    | vertical_2_3
    | horizontal_4_3
    | ~ horizontal_4_2 ),
    inference(resolution,status(thm),[c283,unique_cover6_4_3]) ).

cnf(c401,plain,
    ( horizontal_3_2
    | vertical_2_3
    | horizontal_4_3
    | ~ horizontal_3_3 ),
    inference(resolution,status(thm),[c283,unique_cover1_3_3]) ).

cnf(c366,plain,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | ~ vertical_3_3 ),
    inference(resolution,status(thm),[c144,unique_cover5_3_3]) ).

cnf(c364,plain,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | ~ horizontal_3_3 ),
    inference(resolution,status(thm),[c144,unique_cover3_3_3]) ).

cnf(c357,plain,
    ( horizontal_3_2
    | horizontal_3_1
    | vertical_2_3
    | ~ horizontal_4_2 ),
    inference(resolution,status(thm),[c144,unique_cover3_4_2]) ).

cnf(c352,plain,
    ( vertical_3_2
    | horizontal_3_1
    | vertical_2_3
    | ~ vertical_3_3 ),
    inference(resolution,status(thm),[c144,unique_cover4_3_3]) ).

cnf(c345,plain,
    ( vertical_3_2
    | horizontal_3_1
    | vertical_2_3
    | ~ horizontal_3_3 ),
    inference(resolution,status(thm),[c144,unique_cover2_3_3]) ).

cnf(c100,plain,
    ( vertical_2_2
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_2 ),
    inference(resolution,status(thm),[c94,covered_3_3]) ).

cnf(c331,plain,
    ( vertical_2_2
    | horizontal_3_3
    | horizontal_3_2
    | ~ horizontal_4_2 ),
    inference(resolution,status(thm),[c100,unique_cover6_4_3]) ).

cnf(c327,plain,
    ( vertical_2_2
    | vertical_3_3
    | horizontal_3_2
    | ~ vertical_3_4 ),
    inference(resolution,status(thm),[c100,unique_cover4_3_4]) ).

cnf(c321,plain,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_3_2
    | ~ vertical_3_2 ),
    inference(resolution,status(thm),[c100,unique_cover5_3_2]) ).

cnf(c320,plain,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_3_2
    | ~ horizontal_2_2 ),
    inference(resolution,status(thm),[c100,unique_cover1_2_2]) ).

cnf(c69,plain,
    ( horizontal_4_1
    | horizontal_3_2
    | vertical_3_2
    | vertical_2_2 ),
    inference(resolution,status(thm),[c20,covered_3_2]) ).

cnf(c316,plain,
    ( horizontal_4_1
    | horizontal_3_2
    | vertical_3_2
    | ~ horizontal_2_2 ),
    inference(resolution,status(thm),[c69,unique_cover1_2_2]) ).

cnf(c314,plain,
    ( horizontal_4_1
    | horizontal_3_2
    | vertical_2_2
    | ~ horizontal_4_2 ),
    inference(resolution,status(thm),[c69,unique_cover3_4_2]) ).

cnf(c309,plain,
    ( horizontal_4_1
    | vertical_3_2
    | vertical_2_2
    | ~ vertical_3_3 ),
    inference(resolution,status(thm),[c69,unique_cover4_3_3]) ).

cnf(c302,plain,
    ( horizontal_4_1
    | vertical_3_2
    | vertical_2_2
    | ~ horizontal_3_3 ),
    inference(resolution,status(thm),[c69,unique_cover2_3_3]) ).

cnf(c295,plain,
    ( horizontal_3_2
    | vertical_3_2
    | vertical_2_2
    | ~ horizontal_4_2 ),
    inference(resolution,status(thm),[c69,unique_cover2_4_2]) ).

cnf(c61,plain,
    ( ~ horizontal_4_2
    | horizontal_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference(resolution,status(thm),[unique_cover6_4_3,covered_3_3]) ).

cnf(c53,plain,
    ( ~ horizontal_4_2
    | horizontal_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference(resolution,status(thm),[unique_cover3_4_2,covered_3_2]) ).

cnf(unique_cover2_3_2,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ horizontal_3_1 ),
    input ).

cnf(unique_cover3_4_1,negated_conjecture,
    ( ~ horizontal_4_1
    | ~ vertical_3_1 ),
    input ).

cnf(unique_cover5_2_1,negated_conjecture,
    ( ~ vertical_2_1
    | ~ vertical_1_1 ),
    input ).

cnf(c5,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(c13,plain,
    ( horizontal_3_1
    | vertical_3_1 ),
    inference(resolution,status(thm),[covered_3_1,c5]) ).

cnf(c66,plain,
    ( horizontal_3_1
    | ~ horizontal_4_1 ),
    inference(resolution,status(thm),[c13,unique_cover3_4_1]) ).

cnf(covered_4_2,negated_conjecture,
    ( horizontal_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    input ).

cnf(unique_cover2_4_3,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ horizontal_4_2 ),
    input ).

cnf(c57,plain,
    ( ~ horizontal_4_3
    | horizontal_4_1
    | vertical_3_2 ),
    inference(resolution,status(thm),[unique_cover2_4_3,covered_4_2]) ).

cnf(c139,plain,
    ( horizontal_4_1
    | vertical_3_2
    | vertical_3_4 ),
    inference(resolution,status(thm),[c57,covered_4_4]) ).

cnf(c187,plain,
    ( vertical_3_2
    | vertical_3_4
    | horizontal_3_1 ),
    inference(resolution,status(thm),[c139,c66]) ).

cnf(c240,plain,
    ( vertical_3_2
    | vertical_3_4
    | ~ horizontal_3_2 ),
    inference(resolution,status(thm),[c187,unique_cover2_3_2]) ).

cnf(c234,plain,
    ( vertical_3_4
    | horizontal_3_1
    | ~ horizontal_4_2 ),
    inference(resolution,status(thm),[c187,unique_cover3_4_2]) ).

cnf(unique_cover1_3_2,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ vertical_3_2 ),
    input ).

cnf(c231,plain,
    ( vertical_3_4
    | horizontal_3_1
    | ~ horizontal_3_2 ),
    inference(resolution,status(thm),[c187,unique_cover1_3_2]) ).

cnf(unique_cover6_4_4,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_3_4 ),
    input ).

cnf(unique_cover5_2_4,negated_conjecture,
    ( ~ vertical_2_4
    | ~ vertical_1_4 ),
    input ).

cnf(c15,plain,
    ~ vertical_2_4,
    inference(resolution,status(thm),[unique_cover5_2_4,c1]) ).

cnf(covered_3_4,negated_conjecture,
    ( vertical_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    input ).

cnf(c33,plain,
    ( vertical_3_4
    | horizontal_3_3 ),
    inference(resolution,status(thm),[covered_3_4,c15]) ).

cnf(c70,plain,
    ( horizontal_3_3
    | ~ horizontal_4_3 ),
    inference(resolution,status(thm),[c33,unique_cover6_4_4]) ).

cnf(covered_4_3,negated_conjecture,
    ( horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    input ).

cnf(c49,plain,
    ( ~ horizontal_4_2
    | vertical_3_1 ),
    inference(resolution,status(thm),[unique_cover2_4_2,covered_4_1]) ).

cnf(c72,plain,
    ( vertical_3_1
    | horizontal_4_3
    | vertical_3_3 ),
    inference(resolution,status(thm),[c49,covered_4_3]) ).

cnf(c148,plain,
    ( vertical_3_1
    | vertical_3_3
    | horizontal_3_3 ),
    inference(resolution,status(thm),[c72,c70]) ).

cnf(c209,plain,
    ( vertical_3_1
    | vertical_3_3
    | ~ vertical_3_4 ),
    inference(resolution,status(thm),[c148,unique_cover4_3_4]) ).

cnf(c39,plain,
    ( ~ vertical_3_3
    | vertical_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference(resolution,status(thm),[unique_cover4_3_3,covered_3_2]) ).

cnf(c203,plain,
    ( vertical_3_3
    | horizontal_3_3
    | ~ horizontal_3_1 ),
    inference(resolution,status(thm),[c148,unique_cover1_3_1]) ).

cnf(c202,plain,
    ( vertical_3_3
    | horizontal_3_3
    | ~ horizontal_4_1 ),
    inference(resolution,status(thm),[c148,unique_cover3_4_1]) ).

cnf(c194,plain,
    ( horizontal_4_1
    | vertical_3_4
    | ~ horizontal_4_2 ),
    inference(resolution,status(thm),[c139,unique_cover3_4_2]) ).

cnf(c191,plain,
    ( horizontal_4_1
    | vertical_3_4
    | ~ horizontal_3_2 ),
    inference(resolution,status(thm),[c139,unique_cover1_3_2]) ).

cnf(c188,plain,
    ( vertical_3_2
    | vertical_3_4
    | ~ horizontal_4_2 ),
    inference(resolution,status(thm),[c139,unique_cover2_4_2]) ).

cnf(c35,plain,
    ( ~ horizontal_3_3
    | vertical_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference(resolution,status(thm),[unique_cover2_3_3,covered_3_2]) ).

cnf(c93,plain,
    ( horizontal_3_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference(resolution,status(thm),[c70,covered_4_3]) ).

cnf(c166,plain,
    ( horizontal_4_2
    | vertical_3_3
    | ~ vertical_3_4 ),
    inference(resolution,status(thm),[c93,unique_cover4_3_4]) ).

cnf(c85,plain,
    ( horizontal_3_1
    | horizontal_4_2
    | vertical_3_2 ),
    inference(resolution,status(thm),[c66,covered_4_2]) ).

cnf(c161,plain,
    ( horizontal_3_1
    | horizontal_4_2
    | ~ horizontal_3_2 ),
    inference(resolution,status(thm),[c85,unique_cover1_3_2]) ).

cnf(c158,plain,
    ( horizontal_3_1
    | vertical_3_2
    | ~ horizontal_4_3 ),
    inference(resolution,status(thm),[c85,unique_cover2_4_3]) ).

cnf(c157,plain,
    ( horizontal_4_2
    | vertical_3_2
    | ~ horizontal_3_2 ),
    inference(resolution,status(thm),[c85,unique_cover2_3_2]) ).

cnf(c150,plain,
    ( vertical_3_1
    | horizontal_4_3
    | ~ horizontal_3_3 ),
    inference(resolution,status(thm),[c72,unique_cover1_3_3]) ).

cnf(c146,plain,
    ( horizontal_4_3
    | vertical_3_3
    | ~ horizontal_3_1 ),
    inference(resolution,status(thm),[c72,unique_cover1_3_1]) ).

cnf(c145,plain,
    ( horizontal_4_3
    | vertical_3_3
    | ~ horizontal_4_1 ),
    inference(resolution,status(thm),[c72,unique_cover3_4_1]) ).

cnf(unique_cover6_3_2,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_2_2 ),
    input ).

cnf(c98,plain,
    ( horizontal_2_2
    | ~ horizontal_3_1 ),
    inference(resolution,status(thm),[c79,unique_cover6_3_2]) ).

cnf(c111,plain,
    ( horizontal_2_2
    | vertical_3_1 ),
    inference(resolution,status(thm),[c98,c13]) ).

cnf(c119,plain,
    ( horizontal_2_2
    | ~ horizontal_4_1 ),
    inference(resolution,status(thm),[c111,unique_cover3_4_1]) ).

cnf(c97,plain,
    ( horizontal_2_2
    | ~ vertical_3_2 ),
    inference(resolution,status(thm),[c79,unique_cover5_3_2]) ).

cnf(c109,plain,
    ( horizontal_2_2
    | horizontal_4_2
    | horizontal_4_1 ),
    inference(resolution,status(thm),[c97,covered_4_2]) ).

cnf(c180,plain,
    ( horizontal_2_2
    | horizontal_4_2 ),
    inference(resolution,status(thm),[c109,c119]) ).

cnf(c182,plain,
    ( horizontal_4_2
    | ~ vertical_2_3 ),
    inference(resolution,status(thm),[c180,unique_cover4_2_3]) ).

cnf(c51,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | ~ horizontal_3_3 ),
    inference(resolution,status(thm),[covered_4_3,unique_cover1_3_3]) ).

cnf(c44,plain,
    ( horizontal_4_2
    | horizontal_4_1
    | ~ horizontal_3_2 ),
    inference(resolution,status(thm),[covered_4_2,unique_cover1_3_2]) ).

cnf(c113,plain,
    ( horizontal_2_2
    | ~ horizontal_3_3 ),
    inference(resolution,status(thm),[c103,unique_cover3_3_3]) ).

cnf(c121,plain,
    ( horizontal_2_2
    | vertical_3_4 ),
    inference(resolution,status(thm),[c113,c33]) ).

cnf(c130,plain,
    ( horizontal_2_2
    | ~ horizontal_4_3 ),
    inference(resolution,status(thm),[c121,unique_cover6_4_4]) ).

cnf(c129,plain,
    ( vertical_3_4
    | ~ vertical_2_3 ),
    inference(resolution,status(thm),[c121,unique_cover4_2_3]) ).

cnf(c118,plain,
    ( vertical_3_1
    | ~ vertical_2_3 ),
    inference(resolution,status(thm),[c111,unique_cover4_2_3]) ).

cnf(c114,plain,
    ( horizontal_2_2
    | ~ vertical_3_3 ),
    inference(resolution,status(thm),[c103,unique_cover5_3_3]) ).

cnf(unique_cover3_3_2,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ vertical_2_2 ),
    input ).

cnf(c95,plain,
    ( horizontal_2_2
    | ~ horizontal_3_2 ),
    inference(resolution,status(thm),[c79,unique_cover3_3_2]) ).

cnf(c65,plain,
    ( vertical_3_1
    | ~ horizontal_3_2 ),
    inference(resolution,status(thm),[c13,unique_cover2_3_2]) ).

cnf(unique_cover4_3_2,negated_conjecture,
    ( ~ vertical_3_2
    | ~ horizontal_3_1 ),
    input ).

cnf(c64,plain,
    ( vertical_3_1
    | ~ vertical_3_2 ),
    inference(resolution,status(thm),[c13,unique_cover4_3_2]) ).

cnf(unique_cover3_4_3,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_3_3 ),
    input ).

cnf(unique_cover6_4_2,negated_conjecture,
    ( ~ horizontal_4_1
    | ~ vertical_3_2 ),
    input ).

cnf(unique_cover6_3_3,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ vertical_2_3 ),
    input ).

cnf(uncovered1_1_2,negated_conjecture,
    ~ horizontal_1_2,
    input ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ016-2.004 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n019.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 22:25:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.67/0.88  # Version:  1.3
% 0.67/0.88  # SZS status Satisfiable
% 0.67/0.88  # SZS output start Saturation
% See solution above
% 0.67/0.88  
% 0.67/0.88  # Initial clauses    : 66
% 0.67/0.88  # Processed clauses  : 150
% 0.67/0.88  # Factors computed   : 0
% 0.67/0.88  # Resolvents computed: 645
% 0.67/0.88  # Tautologies deleted: 69
% 0.67/0.88  # Forward subsumed   : 492
% 0.67/0.88  # Backward subsumed  : 19
% 0.67/0.88  # -------- CPU Time ---------
% 0.67/0.88  # User time          : 0.530 s
% 0.67/0.88  # System time        : 0.014 s
% 0.67/0.88  # Total time         : 0.544 s
%------------------------------------------------------------------------------