%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ017-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:59:52 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.44s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 125
% Syntax : Number of formulae : 487 ( 7 unt; 117 def)
% Number of atoms : 1319 ( 0 equ)
% Maximal formula atoms : 25 ( 2 avg)
% Number of connectives : 1492 ( 660 ~; 715 |; 0 &)
% ( 117 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 123 ( 122 usr; 118 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 135 ( 135 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f74,axiom,
! [X] :
( hasperson(X,american)
| hasperson(X,russian)
| hasperson(X,swede)
| hasperson(X,italian)
| hasperson(X,englishman) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,axiom,
! [X] :
( hascolor(X,blue)
| hascolor(X,yellow)
| hascolor(X,green)
| hascolor(X,white)
| hascolor(X,red) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,axiom,
! [X] :
( hasdrink(X,unknown_drink)
| hasdrink(X,vodka)
| hasdrink(X,milk)
| hasdrink(X,coffee)
| hasdrink(X,lemonade) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [X] :
( hasgame(X,charades)
| hasgame(X,solitaire)
| hasgame(X,quoits)
| hasgame(X,racquetball)
| hasgame(X,backgammon) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,axiom,
! [X] :
( haspet(X,no_pet)
| haspet(X,rat)
| haspet(X,camel)
| haspet(X,toad)
| haspet(X,guppy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f146,hypothesis,
hasdrink(n3,milk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f147,hypothesis,
hasperson(n1,russian),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f148,negated_conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X11a,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23] :
( ~ haspet(n5,X23)
| ~ haspet(n4,X22)
| ~ haspet(n3,X21)
| ~ haspet(n2,X20)
| ~ haspet(n1,X19)
| ~ hasgame(n5,X18)
| ~ hasgame(n4,X17)
| ~ hasgame(n3,X16)
| ~ hasgame(n2,X15)
| ~ hasgame(n1,X14)
| ~ hasdrink(n5,X13)
| ~ hasdrink(n4,X12)
| ~ hasdrink(n3,X11a)
| ~ hasdrink(n2,X11)
| ~ hasdrink(n1,X10)
| ~ hascolor(n5,X9)
| ~ hascolor(n4,X8)
| ~ hascolor(n3,X7)
| ~ hascolor(n2,X6)
| ~ hascolor(n1,X5)
| ~ hasperson(n5,X4)
| ~ hasperson(n4,X3)
| ~ hasperson(n3,X2)
| ~ hasperson(n2,X1)
| ~ hasperson(n1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f222,plain,
! [X0] :
( hasperson(X0,american)
| hasperson(X0,russian)
| hasperson(X0,swede)
| hasperson(X0,italian)
| hasperson(X0,englishman) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f224,plain,
! [X0] :
( hascolor(X0,blue)
| hascolor(X0,yellow)
| hascolor(X0,green)
| hascolor(X0,white)
| hascolor(X0,red) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f226,plain,
! [X0] :
( hasdrink(X0,unknown_drink)
| hasdrink(X0,vodka)
| hasdrink(X0,milk)
| hasdrink(X0,coffee)
| hasdrink(X0,lemonade) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f228,plain,
! [X0] :
( hasgame(X0,charades)
| hasgame(X0,solitaire)
| hasgame(X0,quoits)
| hasgame(X0,racquetball)
| hasgame(X0,backgammon) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f230,plain,
! [X0] :
( haspet(X0,no_pet)
| haspet(X0,rat)
| haspet(X0,camel)
| haspet(X0,toad)
| haspet(X0,guppy) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f325,plain,
hasdrink(n3,milk),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f326,plain,
hasperson(n1,russian),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f327,plain,
( ! [X23] : ~ haspet(n5,X23)
| ! [X22] : ~ haspet(n4,X22)
| ! [X21] : ~ haspet(n3,X21)
| ! [X20] : ~ haspet(n2,X20)
| ! [X19] : ~ haspet(n1,X19)
| ! [X18] : ~ hasgame(n5,X18)
| ! [X17] : ~ hasgame(n4,X17)
| ! [X16] : ~ hasgame(n3,X16)
| ! [X15] : ~ hasgame(n2,X15)
| ! [X14] : ~ hasgame(n1,X14)
| ! [X13] : ~ hasdrink(n5,X13)
| ! [X12] : ~ hasdrink(n4,X12)
| ! [X11a] : ~ hasdrink(n3,X11a)
| ! [X11] : ~ hasdrink(n2,X11)
| ! [X10] : ~ hasdrink(n1,X10)
| ! [X9] : ~ hascolor(n5,X9)
| ! [X8] : ~ hascolor(n4,X8)
| ! [X7] : ~ hascolor(n3,X7)
| ! [X6] : ~ hascolor(n2,X6)
| ! [X5] : ~ hascolor(n1,X5)
| ! [X4] : ~ hasperson(n5,X4)
| ! [X3] : ~ hasperson(n4,X3)
| ! [X2] : ~ hasperson(n3,X2)
| ! [X1] : ~ hasperson(n2,X1)
| ! [X0] : ~ hasperson(n1,X0) ),
inference(miniscoping,[status(thm)],[f148]) ).
fof(f328,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24] :
( ~ haspet(n5,X24)
| ~ haspet(n4,X23)
| ~ haspet(n3,X22)
| ~ haspet(n2,X21)
| ~ haspet(n1,X20)
| ~ hasgame(n5,X19)
| ~ hasgame(n4,X18)
| ~ hasgame(n3,X17)
| ~ hasgame(n2,X16)
| ~ hasgame(n1,X15)
| ~ hasdrink(n5,X14)
| ~ hasdrink(n4,X13)
| ~ hasdrink(n3,X12)
| ~ hasdrink(n2,X11)
| ~ hasdrink(n1,X10)
| ~ hascolor(n5,X9)
| ~ hascolor(n4,X8)
| ~ hascolor(n3,X7)
| ~ hascolor(n2,X6)
| ~ hascolor(n1,X5)
| ~ hasperson(n5,X4)
| ~ hasperson(n4,X3)
| ~ hasperson(n3,X2)
| ~ hasperson(n2,X1)
| ~ hasperson(n1,X0) ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f329,definition,
! [X0] :
( sQ0_spl
<=> ~ hasperson(n1,X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f330,plain,
! [X0] :
( ~ sQ0_spl
| ~ hasperson(n1,X0) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,definition,
! [X1] :
( sQ1_spl
<=> ~ hasperson(n2,X1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f333,plain,
! [X0] :
( ~ sQ1_spl
| ~ hasperson(n2,X0) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,definition,
! [X2] :
( sQ2_spl
<=> ~ hasperson(n3,X2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f336,plain,
! [X0] :
( ~ sQ2_spl
| ~ hasperson(n3,X0) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,definition,
! [X3] :
( sQ3_spl
<=> ~ hasperson(n4,X3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f339,plain,
! [X0] :
( ~ sQ3_spl
| ~ hasperson(n4,X0) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,definition,
! [X4] :
( sQ4_spl
<=> ~ hasperson(n5,X4) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f342,plain,
! [X0] :
( ~ sQ4_spl
| ~ hasperson(n5,X0) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,definition,
! [X5] :
( sQ5_spl
<=> ~ hascolor(n1,X5) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f345,plain,
! [X0] :
( ~ sQ5_spl
| ~ hascolor(n1,X0) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,definition,
! [X6] :
( sQ6_spl
<=> ~ hascolor(n2,X6) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f348,plain,
! [X0] :
( ~ sQ6_spl
| ~ hascolor(n2,X0) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,definition,
! [X7] :
( sQ7_spl
<=> ~ hascolor(n3,X7) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f351,plain,
! [X0] :
( ~ sQ7_spl
| ~ hascolor(n3,X0) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,definition,
! [X8] :
( sQ8_spl
<=> ~ hascolor(n4,X8) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f354,plain,
! [X0] :
( ~ sQ8_spl
| ~ hascolor(n4,X0) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
! [X9] :
( sQ9_spl
<=> ~ hascolor(n5,X9) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f357,plain,
! [X0] :
( ~ sQ9_spl
| ~ hascolor(n5,X0) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
! [X10] :
( sQ10_spl
<=> ~ hasdrink(n1,X10) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f360,plain,
! [X0] :
( ~ sQ10_spl
| ~ hasdrink(n1,X0) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
! [X11] :
( sQ11_spl
<=> ~ hasdrink(n2,X11) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f363,plain,
! [X0] :
( ~ sQ11_spl
| ~ hasdrink(n2,X0) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,definition,
! [X12] :
( sQ12_spl
<=> ~ hasdrink(n3,X12) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f366,plain,
! [X0] :
( ~ sQ12_spl
| ~ hasdrink(n3,X0) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,definition,
! [X13] :
( sQ13_spl
<=> ~ hasdrink(n4,X13) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f369,plain,
! [X0] :
( ~ sQ13_spl
| ~ hasdrink(n4,X0) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,definition,
! [X14] :
( sQ14_spl
<=> ~ hasdrink(n5,X14) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f372,plain,
! [X0] :
( ~ sQ14_spl
| ~ hasdrink(n5,X0) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,definition,
! [X15] :
( sQ15_spl
<=> ~ hasgame(n1,X15) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f375,plain,
! [X0] :
( ~ sQ15_spl
| ~ hasgame(n1,X0) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,definition,
! [X16] :
( sQ16_spl
<=> ~ hasgame(n2,X16) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f378,plain,
! [X0] :
( ~ sQ16_spl
| ~ hasgame(n2,X0) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
! [X17] :
( sQ17_spl
<=> ~ hasgame(n3,X17) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f381,plain,
! [X0] :
( ~ sQ17_spl
| ~ hasgame(n3,X0) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
! [X18] :
( sQ18_spl
<=> ~ hasgame(n4,X18) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f384,plain,
! [X0] :
( ~ sQ18_spl
| ~ hasgame(n4,X0) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
! [X19] :
( sQ19_spl
<=> ~ hasgame(n5,X19) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f387,plain,
! [X0] :
( ~ sQ19_spl
| ~ hasgame(n5,X0) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
! [X20] :
( sQ20_spl
<=> ~ haspet(n1,X20) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f390,plain,
! [X0] :
( ~ sQ20_spl
| ~ haspet(n1,X0) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
! [X21] :
( sQ21_spl
<=> ~ haspet(n2,X21) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f393,plain,
! [X0] :
( ~ sQ21_spl
| ~ haspet(n2,X0) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
! [X22] :
( sQ22_spl
<=> ~ haspet(n3,X22) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f396,plain,
! [X0] :
( ~ sQ22_spl
| ~ haspet(n3,X0) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
! [X23] :
( sQ23_spl
<=> ~ haspet(n4,X23) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f399,plain,
! [X0] :
( ~ sQ23_spl
| ~ haspet(n4,X0) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
! [X24] :
( sQ24_spl
<=> ~ haspet(n5,X24) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f402,plain,
! [X0] :
( ~ sQ24_spl
| ~ haspet(n5,X0) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl
| sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f328,f329,f332,f335,f338,f341,f344,f347,f350,f353,f356,f359,f362,f365,f368,f371,f374,f377,f380,f383,f386,f389,f392,f395,f398,f401]) ).
fof(f406,plain,
( ~ sQ24_spl
| haspet(n5,rat)
| haspet(n5,camel)
| haspet(n5,toad)
| haspet(n5,guppy) ),
inference(resolution,[status(thm)],[f230,f402]) ).
fof(f407,definition,
( sQ25_spl
<=> haspet(n5,guppy) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ25_spl
| haspet(n5,guppy) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,definition,
( sQ26_spl
<=> haspet(n5,toad) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( ~ sQ26_spl
| haspet(n5,toad) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,definition,
( sQ27_spl
<=> haspet(n5,camel) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( ~ sQ27_spl
| haspet(n5,camel) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,definition,
( sQ28_spl
<=> haspet(n5,rat) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ28_spl
| haspet(n5,rat) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( ~ sQ24_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f406,f407,f410,f413,f416,f401]) ).
fof(f421,plain,
( ~ sQ23_spl
| haspet(n4,rat)
| haspet(n4,camel)
| haspet(n4,toad)
| haspet(n4,guppy) ),
inference(resolution,[status(thm)],[f399,f230]) ).
fof(f422,definition,
( sQ29_spl
<=> haspet(n4,guppy) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( ~ sQ29_spl
| haspet(n4,guppy) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,definition,
( sQ30_spl
<=> haspet(n4,toad) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ30_spl
| haspet(n4,toad) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
( sQ31_spl
<=> haspet(n4,camel) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ31_spl
| haspet(n4,camel) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,definition,
( sQ32_spl
<=> haspet(n4,rat) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ32_spl
| haspet(n4,rat) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( ~ sQ23_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f421,f422,f425,f428,f431,f398]) ).
fof(f436,plain,
( ~ sQ22_spl
| haspet(n3,rat)
| haspet(n3,camel)
| haspet(n3,toad)
| haspet(n3,guppy) ),
inference(resolution,[status(thm)],[f396,f230]) ).
fof(f437,definition,
( sQ33_spl
<=> haspet(n3,guppy) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ33_spl
| haspet(n3,guppy) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ34_spl
<=> haspet(n3,toad) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ34_spl
| haspet(n3,toad) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ35_spl
<=> haspet(n3,camel) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ35_spl
| haspet(n3,camel) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ36_spl
<=> haspet(n3,rat) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ36_spl
| haspet(n3,rat) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( ~ sQ22_spl
| sQ36_spl
| sQ35_spl
| sQ34_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f436,f437,f440,f443,f446,f395]) ).
fof(f451,plain,
( ~ sQ21_spl
| haspet(n2,rat)
| haspet(n2,camel)
| haspet(n2,toad)
| haspet(n2,guppy) ),
inference(resolution,[status(thm)],[f393,f230]) ).
fof(f452,definition,
( sQ37_spl
<=> haspet(n2,guppy) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ37_spl
| haspet(n2,guppy) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ38_spl
<=> haspet(n2,toad) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ38_spl
| haspet(n2,toad) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ39_spl
<=> haspet(n2,camel) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ39_spl
| haspet(n2,camel) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ40_spl
<=> haspet(n2,rat) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ40_spl
| haspet(n2,rat) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( ~ sQ21_spl
| sQ40_spl
| sQ39_spl
| sQ38_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f451,f452,f455,f458,f461,f392]) ).
fof(f466,plain,
( ~ sQ20_spl
| haspet(n1,rat)
| haspet(n1,camel)
| haspet(n1,toad)
| haspet(n1,guppy) ),
inference(resolution,[status(thm)],[f390,f230]) ).
fof(f467,definition,
( sQ41_spl
<=> haspet(n1,guppy) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ41_spl
| haspet(n1,guppy) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ42_spl
<=> haspet(n1,toad) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ42_spl
| haspet(n1,toad) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ43_spl
<=> haspet(n1,camel) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ43_spl
| haspet(n1,camel) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ44_spl
<=> haspet(n1,rat) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ44_spl
| haspet(n1,rat) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( ~ sQ20_spl
| sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f466,f467,f470,f473,f476,f389]) ).
fof(f481,plain,
( ~ sQ19_spl
| hasgame(n5,solitaire)
| hasgame(n5,quoits)
| hasgame(n5,racquetball)
| hasgame(n5,backgammon) ),
inference(resolution,[status(thm)],[f387,f228]) ).
fof(f482,definition,
( sQ45_spl
<=> hasgame(n5,backgammon) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ45_spl
| hasgame(n5,backgammon) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ46_spl
<=> hasgame(n5,racquetball) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ46_spl
| hasgame(n5,racquetball) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,definition,
( sQ47_spl
<=> hasgame(n5,quoits) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ47_spl
| hasgame(n5,quoits) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,definition,
( sQ48_spl
<=> hasgame(n5,solitaire) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ48_spl
| hasgame(n5,solitaire) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( ~ sQ19_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f481,f482,f485,f488,f491,f386]) ).
fof(f496,plain,
( ~ sQ18_spl
| hasgame(n4,solitaire)
| hasgame(n4,quoits)
| hasgame(n4,racquetball)
| hasgame(n4,backgammon) ),
inference(resolution,[status(thm)],[f384,f228]) ).
fof(f497,definition,
( sQ49_spl
<=> hasgame(n4,backgammon) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ49_spl
| hasgame(n4,backgammon) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ50_spl
<=> hasgame(n4,racquetball) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ50_spl
| hasgame(n4,racquetball) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ51_spl
<=> hasgame(n4,quoits) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ51_spl
| hasgame(n4,quoits) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ52_spl
<=> hasgame(n4,solitaire) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ52_spl
| hasgame(n4,solitaire) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( ~ sQ18_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f496,f497,f500,f503,f506,f383]) ).
fof(f511,plain,
( ~ sQ17_spl
| hasgame(n3,solitaire)
| hasgame(n3,quoits)
| hasgame(n3,racquetball)
| hasgame(n3,backgammon) ),
inference(resolution,[status(thm)],[f381,f228]) ).
fof(f512,definition,
( sQ53_spl
<=> hasgame(n3,backgammon) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ53_spl
| hasgame(n3,backgammon) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ54_spl
<=> hasgame(n3,racquetball) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ54_spl
| hasgame(n3,racquetball) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ55_spl
<=> hasgame(n3,quoits) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ55_spl
| hasgame(n3,quoits) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,definition,
( sQ56_spl
<=> hasgame(n3,solitaire) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( ~ sQ56_spl
| hasgame(n3,solitaire) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( ~ sQ17_spl
| sQ56_spl
| sQ55_spl
| sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f511,f512,f515,f518,f521,f380]) ).
fof(f526,plain,
( ~ sQ16_spl
| hasgame(n2,solitaire)
| hasgame(n2,quoits)
| hasgame(n2,racquetball)
| hasgame(n2,backgammon) ),
inference(resolution,[status(thm)],[f378,f228]) ).
fof(f527,definition,
( sQ57_spl
<=> hasgame(n2,backgammon) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( ~ sQ57_spl
| hasgame(n2,backgammon) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,definition,
( sQ58_spl
<=> hasgame(n2,racquetball) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( ~ sQ58_spl
| hasgame(n2,racquetball) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,definition,
( sQ59_spl
<=> hasgame(n2,quoits) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( ~ sQ59_spl
| hasgame(n2,quoits) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,definition,
( sQ60_spl
<=> hasgame(n2,solitaire) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ60_spl
| hasgame(n2,solitaire) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,plain,
( ~ sQ16_spl
| sQ60_spl
| sQ59_spl
| sQ58_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f526,f527,f530,f533,f536,f377]) ).
fof(f541,plain,
( ~ sQ15_spl
| hasgame(n1,solitaire)
| hasgame(n1,quoits)
| hasgame(n1,racquetball)
| hasgame(n1,backgammon) ),
inference(resolution,[status(thm)],[f375,f228]) ).
fof(f542,definition,
( sQ61_spl
<=> hasgame(n1,backgammon) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ61_spl
| hasgame(n1,backgammon) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ62_spl
<=> hasgame(n1,racquetball) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ62_spl
| hasgame(n1,racquetball) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,definition,
( sQ63_spl
<=> hasgame(n1,quoits) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ63_spl
| hasgame(n1,quoits) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ64_spl
<=> hasgame(n1,solitaire) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ64_spl
| hasgame(n1,solitaire) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( ~ sQ15_spl
| sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f541,f542,f545,f548,f551,f374]) ).
fof(f556,plain,
( ~ sQ14_spl
| hasdrink(n5,vodka)
| hasdrink(n5,milk)
| hasdrink(n5,coffee)
| hasdrink(n5,lemonade) ),
inference(resolution,[status(thm)],[f372,f226]) ).
fof(f557,definition,
( sQ65_spl
<=> hasdrink(n5,lemonade) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( ~ sQ65_spl
| hasdrink(n5,lemonade) ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,definition,
( sQ66_spl
<=> hasdrink(n5,coffee) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( ~ sQ66_spl
| hasdrink(n5,coffee) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,definition,
( sQ67_spl
<=> hasdrink(n5,milk) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f564,plain,
( ~ sQ67_spl
| hasdrink(n5,milk) ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,definition,
( sQ68_spl
<=> hasdrink(n5,vodka) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ68_spl
| hasdrink(n5,vodka) ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( ~ sQ14_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f556,f557,f560,f563,f566,f371]) ).
fof(f571,plain,
( ~ sQ13_spl
| hasdrink(n4,vodka)
| hasdrink(n4,milk)
| hasdrink(n4,coffee)
| hasdrink(n4,lemonade) ),
inference(resolution,[status(thm)],[f369,f226]) ).
fof(f572,definition,
( sQ69_spl
<=> hasdrink(n4,lemonade) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ69_spl
| hasdrink(n4,lemonade) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,definition,
( sQ70_spl
<=> hasdrink(n4,coffee) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ70_spl
| hasdrink(n4,coffee) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
( sQ71_spl
<=> hasdrink(n4,milk) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( ~ sQ71_spl
| hasdrink(n4,milk) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,definition,
( sQ72_spl
<=> hasdrink(n4,vodka) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( ~ sQ72_spl
| hasdrink(n4,vodka) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( ~ sQ13_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f571,f572,f575,f578,f581,f368]) ).
fof(f585,plain,
( ~ sQ12_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f325,f366]) ).
fof(f587,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f585]) ).
fof(f589,plain,
( ~ sQ11_spl
| hasdrink(n2,vodka)
| hasdrink(n2,milk)
| hasdrink(n2,coffee)
| hasdrink(n2,lemonade) ),
inference(resolution,[status(thm)],[f363,f226]) ).
fof(f590,definition,
( sQ73_spl
<=> hasdrink(n2,lemonade) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( ~ sQ73_spl
| hasdrink(n2,lemonade) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,definition,
( sQ74_spl
<=> hasdrink(n2,coffee) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ74_spl
| hasdrink(n2,coffee) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,definition,
( sQ75_spl
<=> hasdrink(n2,milk) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ75_spl
| hasdrink(n2,milk) ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,definition,
( sQ76_spl
<=> hasdrink(n2,vodka) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ76_spl
| hasdrink(n2,vodka) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( ~ sQ11_spl
| sQ76_spl
| sQ75_spl
| sQ74_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f589,f590,f593,f596,f599,f362]) ).
fof(f604,plain,
( ~ sQ10_spl
| hasdrink(n1,vodka)
| hasdrink(n1,milk)
| hasdrink(n1,coffee)
| hasdrink(n1,lemonade) ),
inference(resolution,[status(thm)],[f360,f226]) ).
fof(f605,definition,
( sQ77_spl
<=> hasdrink(n1,lemonade) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( ~ sQ77_spl
| hasdrink(n1,lemonade) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,definition,
( sQ78_spl
<=> hasdrink(n1,coffee) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( ~ sQ78_spl
| hasdrink(n1,coffee) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,definition,
( sQ79_spl
<=> hasdrink(n1,milk) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ79_spl
| hasdrink(n1,milk) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,definition,
( sQ80_spl
<=> hasdrink(n1,vodka) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ80_spl
| hasdrink(n1,vodka) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( ~ sQ10_spl
| sQ80_spl
| sQ79_spl
| sQ78_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f604,f605,f608,f611,f614,f359]) ).
fof(f619,plain,
( ~ sQ9_spl
| hascolor(n5,yellow)
| hascolor(n5,green)
| hascolor(n5,white)
| hascolor(n5,red) ),
inference(resolution,[status(thm)],[f357,f224]) ).
fof(f620,definition,
( sQ81_spl
<=> hascolor(n5,red) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ81_spl
| hascolor(n5,red) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ82_spl
<=> hascolor(n5,white) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ82_spl
| hascolor(n5,white) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,definition,
( sQ83_spl
<=> hascolor(n5,green) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( ~ sQ83_spl
| hascolor(n5,green) ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,definition,
( sQ84_spl
<=> hascolor(n5,yellow) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( ~ sQ84_spl
| hascolor(n5,yellow) ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( ~ sQ9_spl
| sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f619,f620,f623,f626,f629,f356]) ).
fof(f634,plain,
( ~ sQ8_spl
| hascolor(n4,yellow)
| hascolor(n4,green)
| hascolor(n4,white)
| hascolor(n4,red) ),
inference(resolution,[status(thm)],[f354,f224]) ).
fof(f635,definition,
( sQ85_spl
<=> hascolor(n4,red) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ85_spl
| hascolor(n4,red) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,definition,
( sQ86_spl
<=> hascolor(n4,white) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ86_spl
| hascolor(n4,white) ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,definition,
( sQ87_spl
<=> hascolor(n4,green) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ87_spl
| hascolor(n4,green) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,definition,
( sQ88_spl
<=> hascolor(n4,yellow) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ88_spl
| hascolor(n4,yellow) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,plain,
( ~ sQ8_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f634,f635,f638,f641,f644,f353]) ).
fof(f649,plain,
( ~ sQ7_spl
| hascolor(n3,yellow)
| hascolor(n3,green)
| hascolor(n3,white)
| hascolor(n3,red) ),
inference(resolution,[status(thm)],[f351,f224]) ).
fof(f650,definition,
( sQ89_spl
<=> hascolor(n3,red) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f651,plain,
( ~ sQ89_spl
| hascolor(n3,red) ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,definition,
( sQ90_spl
<=> hascolor(n3,white) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ90_spl
| hascolor(n3,white) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ91_spl
<=> hascolor(n3,green) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ91_spl
| hascolor(n3,green) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,definition,
( sQ92_spl
<=> hascolor(n3,yellow) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( ~ sQ92_spl
| hascolor(n3,yellow) ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,plain,
( ~ sQ7_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f649,f650,f653,f656,f659,f350]) ).
fof(f664,plain,
( ~ sQ6_spl
| hascolor(n2,yellow)
| hascolor(n2,green)
| hascolor(n2,white)
| hascolor(n2,red) ),
inference(resolution,[status(thm)],[f348,f224]) ).
fof(f665,definition,
( sQ93_spl
<=> hascolor(n2,red) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f666,plain,
( ~ sQ93_spl
| hascolor(n2,red) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,definition,
( sQ94_spl
<=> hascolor(n2,white) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f669,plain,
( ~ sQ94_spl
| hascolor(n2,white) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,definition,
( sQ95_spl
<=> hascolor(n2,green) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ95_spl
| hascolor(n2,green) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,definition,
( sQ96_spl
<=> hascolor(n2,yellow) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ96_spl
| hascolor(n2,yellow) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( ~ sQ6_spl
| sQ96_spl
| sQ95_spl
| sQ94_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f664,f665,f668,f671,f674,f347]) ).
fof(f679,plain,
( ~ sQ5_spl
| hascolor(n1,yellow)
| hascolor(n1,green)
| hascolor(n1,white)
| hascolor(n1,red) ),
inference(resolution,[status(thm)],[f345,f224]) ).
fof(f680,definition,
( sQ97_spl
<=> hascolor(n1,red) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ97_spl
| hascolor(n1,red) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,definition,
( sQ98_spl
<=> hascolor(n1,white) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ98_spl
| hascolor(n1,white) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,definition,
( sQ99_spl
<=> hascolor(n1,green) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( ~ sQ99_spl
| hascolor(n1,green) ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,definition,
( sQ100_spl
<=> hascolor(n1,yellow) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( ~ sQ100_spl
| hascolor(n1,yellow) ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f692,plain,
( ~ sQ5_spl
| sQ100_spl
| sQ99_spl
| sQ98_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f679,f680,f683,f686,f689,f344]) ).
fof(f694,plain,
( ~ sQ4_spl
| hasperson(n5,russian)
| hasperson(n5,swede)
| hasperson(n5,italian)
| hasperson(n5,englishman) ),
inference(resolution,[status(thm)],[f342,f222]) ).
fof(f695,definition,
( sQ101_spl
<=> hasperson(n5,englishman) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f696,plain,
( ~ sQ101_spl
| hasperson(n5,englishman) ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,definition,
( sQ102_spl
<=> hasperson(n5,italian) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f699,plain,
( ~ sQ102_spl
| hasperson(n5,italian) ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,definition,
( sQ103_spl
<=> hasperson(n5,swede) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( ~ sQ103_spl
| hasperson(n5,swede) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,definition,
( sQ104_spl
<=> hasperson(n5,russian) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( ~ sQ104_spl
| hasperson(n5,russian) ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f707,plain,
( ~ sQ4_spl
| sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f694,f695,f698,f701,f704,f341]) ).
fof(f709,plain,
( ~ sQ3_spl
| hasperson(n4,russian)
| hasperson(n4,swede)
| hasperson(n4,italian)
| hasperson(n4,englishman) ),
inference(resolution,[status(thm)],[f339,f222]) ).
fof(f710,definition,
( sQ105_spl
<=> hasperson(n4,englishman) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( ~ sQ105_spl
| hasperson(n4,englishman) ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,definition,
( sQ106_spl
<=> hasperson(n4,italian) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f714,plain,
( ~ sQ106_spl
| hasperson(n4,italian) ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,definition,
( sQ107_spl
<=> hasperson(n4,swede) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( ~ sQ107_spl
| hasperson(n4,swede) ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,definition,
( sQ108_spl
<=> hasperson(n4,russian) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f720,plain,
( ~ sQ108_spl
| hasperson(n4,russian) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,plain,
( ~ sQ3_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f709,f710,f713,f716,f719,f338]) ).
fof(f724,plain,
( ~ sQ2_spl
| hasperson(n3,russian)
| hasperson(n3,swede)
| hasperson(n3,italian)
| hasperson(n3,englishman) ),
inference(resolution,[status(thm)],[f336,f222]) ).
fof(f725,definition,
( sQ109_spl
<=> hasperson(n3,englishman) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ109_spl
| hasperson(n3,englishman) ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,definition,
( sQ110_spl
<=> hasperson(n3,italian) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ110_spl
| hasperson(n3,italian) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,definition,
( sQ111_spl
<=> hasperson(n3,swede) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( ~ sQ111_spl
| hasperson(n3,swede) ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,definition,
( sQ112_spl
<=> hasperson(n3,russian) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ112_spl
| hasperson(n3,russian) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( ~ sQ2_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f724,f725,f728,f731,f734,f335]) ).
fof(f739,plain,
( ~ sQ1_spl
| hasperson(n2,russian)
| hasperson(n2,swede)
| hasperson(n2,italian)
| hasperson(n2,englishman) ),
inference(resolution,[status(thm)],[f333,f222]) ).
fof(f740,definition,
( sQ113_spl
<=> hasperson(n2,englishman) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( ~ sQ113_spl
| hasperson(n2,englishman) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,definition,
( sQ114_spl
<=> hasperson(n2,italian) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ114_spl
| hasperson(n2,italian) ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,definition,
( sQ115_spl
<=> hasperson(n2,swede) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ115_spl
| hasperson(n2,swede) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,definition,
( sQ116_spl
<=> hasperson(n2,russian) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ116_spl
| hasperson(n2,russian) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( ~ sQ1_spl
| sQ116_spl
| sQ115_spl
| sQ114_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f739,f740,f743,f746,f749,f332]) ).
fof(f753,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f326,f330]) ).
fof(f755,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f753]) ).
fof(f756,plain,
( ~ sQ113_spl
| ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f741,f333]) ).
fof(f757,plain,
( ~ sQ114_spl
| ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f744,f333]) ).
fof(f758,plain,
( ~ sQ115_spl
| ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f747,f333]) ).
fof(f759,plain,
( ~ sQ116_spl
| ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f750,f333]) ).
fof(f760,plain,
( ~ sQ113_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f756]) ).
fof(f761,plain,
( ~ sQ109_spl
| ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f726,f336]) ).
fof(f762,plain,
( ~ sQ110_spl
| ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f729,f336]) ).
fof(f763,plain,
( ~ sQ111_spl
| ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f732,f336]) ).
fof(f764,plain,
( ~ sQ112_spl
| ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f735,f336]) ).
fof(f765,plain,
( ~ sQ109_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f761]) ).
fof(f766,plain,
( ~ sQ105_spl
| ~ sQ3_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f711,f339]) ).
fof(f767,plain,
( ~ sQ106_spl
| ~ sQ3_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f714,f339]) ).
fof(f768,plain,
( ~ sQ107_spl
| ~ sQ3_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f717,f339]) ).
fof(f769,plain,
( ~ sQ108_spl
| ~ sQ3_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f720,f339]) ).
fof(f770,plain,
( ~ sQ105_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f766]) ).
fof(f771,plain,
( ~ sQ101_spl
| ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f696,f342]) ).
fof(f772,plain,
( ~ sQ102_spl
| ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f699,f342]) ).
fof(f773,plain,
( ~ sQ103_spl
| ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f702,f342]) ).
fof(f774,plain,
( ~ sQ104_spl
| ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f705,f342]) ).
fof(f775,plain,
( ~ sQ101_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f771]) ).
fof(f776,plain,
( ~ sQ97_spl
| ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f681,f345]) ).
fof(f777,plain,
( ~ sQ98_spl
| ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f684,f345]) ).
fof(f778,plain,
( ~ sQ99_spl
| ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f687,f345]) ).
fof(f779,plain,
( ~ sQ100_spl
| ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f690,f345]) ).
fof(f780,plain,
( ~ sQ97_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f776]) ).
fof(f781,plain,
( ~ sQ93_spl
| ~ sQ6_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f666,f348]) ).
fof(f782,plain,
( ~ sQ94_spl
| ~ sQ6_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f669,f348]) ).
fof(f783,plain,
( ~ sQ95_spl
| ~ sQ6_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f672,f348]) ).
fof(f784,plain,
( ~ sQ96_spl
| ~ sQ6_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f675,f348]) ).
fof(f785,plain,
( ~ sQ93_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f781]) ).
fof(f786,plain,
( ~ sQ89_spl
| ~ sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f651,f351]) ).
fof(f787,plain,
( ~ sQ90_spl
| ~ sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f654,f351]) ).
fof(f788,plain,
( ~ sQ91_spl
| ~ sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f657,f351]) ).
fof(f789,plain,
( ~ sQ92_spl
| ~ sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f660,f351]) ).
fof(f790,plain,
( ~ sQ89_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f786]) ).
fof(f791,plain,
( ~ sQ85_spl
| ~ sQ8_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f636,f354]) ).
fof(f792,plain,
( ~ sQ86_spl
| ~ sQ8_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f639,f354]) ).
fof(f793,plain,
( ~ sQ87_spl
| ~ sQ8_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f642,f354]) ).
fof(f794,plain,
( ~ sQ88_spl
| ~ sQ8_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f645,f354]) ).
fof(f795,plain,
( ~ sQ85_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f791]) ).
fof(f796,plain,
( ~ sQ81_spl
| ~ sQ9_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f621,f357]) ).
fof(f797,plain,
( ~ sQ82_spl
| ~ sQ9_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f624,f357]) ).
fof(f798,plain,
( ~ sQ83_spl
| ~ sQ9_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f627,f357]) ).
fof(f799,plain,
( ~ sQ84_spl
| ~ sQ9_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f630,f357]) ).
fof(f800,plain,
( ~ sQ81_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f796]) ).
fof(f801,plain,
( ~ sQ77_spl
| ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f606,f360]) ).
fof(f802,plain,
( ~ sQ78_spl
| ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f609,f360]) ).
fof(f803,plain,
( ~ sQ79_spl
| ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f612,f360]) ).
fof(f804,plain,
( ~ sQ80_spl
| ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f615,f360]) ).
fof(f805,plain,
( ~ sQ77_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f801]) ).
fof(f806,plain,
( ~ sQ73_spl
| ~ sQ11_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f591,f363]) ).
fof(f807,plain,
( ~ sQ74_spl
| ~ sQ11_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f594,f363]) ).
fof(f808,plain,
( ~ sQ75_spl
| ~ sQ11_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f597,f363]) ).
fof(f809,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f600,f363]) ).
fof(f810,plain,
( ~ sQ73_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f806]) ).
fof(f811,plain,
( ~ sQ69_spl
| ~ sQ13_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f573,f369]) ).
fof(f812,plain,
( ~ sQ70_spl
| ~ sQ13_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f576,f369]) ).
fof(f813,plain,
( ~ sQ71_spl
| ~ sQ13_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f579,f369]) ).
fof(f814,plain,
( ~ sQ72_spl
| ~ sQ13_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f582,f369]) ).
fof(f815,plain,
( ~ sQ69_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f811]) ).
fof(f816,plain,
( ~ sQ65_spl
| ~ sQ14_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f558,f372]) ).
fof(f817,plain,
( ~ sQ66_spl
| ~ sQ14_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f561,f372]) ).
fof(f818,plain,
( ~ sQ67_spl
| ~ sQ14_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f564,f372]) ).
fof(f819,plain,
( ~ sQ68_spl
| ~ sQ14_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f567,f372]) ).
fof(f820,plain,
( ~ sQ65_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f816]) ).
fof(f821,plain,
( ~ sQ61_spl
| ~ sQ15_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f543,f375]) ).
fof(f822,plain,
( ~ sQ62_spl
| ~ sQ15_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f546,f375]) ).
fof(f823,plain,
( ~ sQ63_spl
| ~ sQ15_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f549,f375]) ).
fof(f824,plain,
( ~ sQ64_spl
| ~ sQ15_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f552,f375]) ).
fof(f825,plain,
( ~ sQ61_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f821]) ).
fof(f826,plain,
( ~ sQ57_spl
| ~ sQ16_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f528,f378]) ).
fof(f827,plain,
( ~ sQ58_spl
| ~ sQ16_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f531,f378]) ).
fof(f828,plain,
( ~ sQ59_spl
| ~ sQ16_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f534,f378]) ).
fof(f829,plain,
( ~ sQ60_spl
| ~ sQ16_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f537,f378]) ).
fof(f830,plain,
( ~ sQ57_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f826]) ).
fof(f831,plain,
( ~ sQ53_spl
| ~ sQ17_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f513,f381]) ).
fof(f832,plain,
( ~ sQ54_spl
| ~ sQ17_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f516,f381]) ).
fof(f833,plain,
( ~ sQ55_spl
| ~ sQ17_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f519,f381]) ).
fof(f834,plain,
( ~ sQ56_spl
| ~ sQ17_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f522,f381]) ).
fof(f835,plain,
( ~ sQ53_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f831]) ).
fof(f836,plain,
( ~ sQ49_spl
| ~ sQ18_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f498,f384]) ).
fof(f837,plain,
( ~ sQ50_spl
| ~ sQ18_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f501,f384]) ).
fof(f838,plain,
( ~ sQ51_spl
| ~ sQ18_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f504,f384]) ).
fof(f839,plain,
( ~ sQ52_spl
| ~ sQ18_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f507,f384]) ).
fof(f840,plain,
( ~ sQ49_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f836]) ).
fof(f841,plain,
( ~ sQ45_spl
| ~ sQ19_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f483,f387]) ).
fof(f842,plain,
( ~ sQ46_spl
| ~ sQ19_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f486,f387]) ).
fof(f843,plain,
( ~ sQ47_spl
| ~ sQ19_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f489,f387]) ).
fof(f844,plain,
( ~ sQ48_spl
| ~ sQ19_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f492,f387]) ).
fof(f845,plain,
( ~ sQ45_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f841]) ).
fof(f846,plain,
( ~ sQ41_spl
| ~ sQ20_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f468,f390]) ).
fof(f847,plain,
( ~ sQ42_spl
| ~ sQ20_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f471,f390]) ).
fof(f848,plain,
( ~ sQ43_spl
| ~ sQ20_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f474,f390]) ).
fof(f849,plain,
( ~ sQ44_spl
| ~ sQ20_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f477,f390]) ).
fof(f850,plain,
( ~ sQ41_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f846]) ).
fof(f851,plain,
( ~ sQ37_spl
| ~ sQ21_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f453,f393]) ).
fof(f852,plain,
( ~ sQ38_spl
| ~ sQ21_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f456,f393]) ).
fof(f853,plain,
( ~ sQ39_spl
| ~ sQ21_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f459,f393]) ).
fof(f854,plain,
( ~ sQ40_spl
| ~ sQ21_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f462,f393]) ).
fof(f855,plain,
( ~ sQ37_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f856,plain,
( ~ sQ33_spl
| ~ sQ22_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f438,f396]) ).
fof(f857,plain,
( ~ sQ34_spl
| ~ sQ22_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f441,f396]) ).
fof(f858,plain,
( ~ sQ35_spl
| ~ sQ22_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f444,f396]) ).
fof(f859,plain,
( ~ sQ36_spl
| ~ sQ22_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f447,f396]) ).
fof(f860,plain,
( ~ sQ33_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f856]) ).
fof(f861,plain,
( ~ sQ29_spl
| ~ sQ23_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f423,f399]) ).
fof(f862,plain,
( ~ sQ30_spl
| ~ sQ23_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f426,f399]) ).
fof(f863,plain,
( ~ sQ31_spl
| ~ sQ23_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f429,f399]) ).
fof(f864,plain,
( ~ sQ32_spl
| ~ sQ23_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f432,f399]) ).
fof(f865,plain,
( ~ sQ29_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f861]) ).
fof(f866,plain,
( ~ sQ114_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f757]) ).
fof(f867,plain,
( ~ sQ110_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f762]) ).
fof(f868,plain,
( ~ sQ106_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f767]) ).
fof(f869,plain,
( ~ sQ102_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f772]) ).
fof(f870,plain,
( ~ sQ98_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f777]) ).
fof(f871,plain,
( ~ sQ94_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f782]) ).
fof(f872,plain,
( ~ sQ90_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f787]) ).
fof(f873,plain,
( ~ sQ86_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f792]) ).
fof(f874,plain,
( ~ sQ82_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f797]) ).
fof(f875,plain,
( ~ sQ78_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f802]) ).
fof(f876,plain,
( ~ sQ74_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f807]) ).
fof(f877,plain,
( ~ sQ70_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f812]) ).
fof(f878,plain,
( ~ sQ66_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f817]) ).
fof(f879,plain,
( ~ sQ62_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f880,plain,
( ~ sQ58_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f827]) ).
fof(f881,plain,
( ~ sQ54_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f832]) ).
fof(f882,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f837]) ).
fof(f883,plain,
( ~ sQ46_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f842]) ).
fof(f884,plain,
( ~ sQ42_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f847]) ).
fof(f885,plain,
( ~ sQ38_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f852]) ).
fof(f886,plain,
( ~ sQ34_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f857]) ).
fof(f887,plain,
( ~ sQ30_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f862]) ).
fof(f888,plain,
( ~ sQ115_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f758]) ).
fof(f889,plain,
( ~ sQ111_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f763]) ).
fof(f890,plain,
( ~ sQ107_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f768]) ).
fof(f891,plain,
( ~ sQ103_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f773]) ).
fof(f892,plain,
( ~ sQ99_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f778]) ).
fof(f893,plain,
( ~ sQ95_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f783]) ).
fof(f894,plain,
( ~ sQ91_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f788]) ).
fof(f895,plain,
( ~ sQ87_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f793]) ).
fof(f896,plain,
( ~ sQ83_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f798]) ).
fof(f897,plain,
( ~ sQ79_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f803]) ).
fof(f898,plain,
( ~ sQ75_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f808]) ).
fof(f899,plain,
( ~ sQ71_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f813]) ).
fof(f900,plain,
( ~ sQ67_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f818]) ).
fof(f901,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f823]) ).
fof(f902,plain,
( ~ sQ59_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f828]) ).
fof(f903,plain,
( ~ sQ55_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f833]) ).
fof(f904,plain,
( ~ sQ51_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f838]) ).
fof(f905,plain,
( ~ sQ47_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f843]) ).
fof(f906,plain,
( ~ sQ43_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f848]) ).
fof(f907,plain,
( ~ sQ39_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f853]) ).
fof(f908,plain,
( ~ sQ35_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f858]) ).
fof(f909,plain,
( ~ sQ31_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f863]) ).
fof(f910,plain,
( ~ sQ116_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f759]) ).
fof(f911,plain,
( ~ sQ112_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f764]) ).
fof(f912,plain,
( ~ sQ108_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f769]) ).
fof(f913,plain,
( ~ sQ104_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f774]) ).
fof(f914,plain,
( ~ sQ100_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f779]) ).
fof(f915,plain,
( ~ sQ96_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f784]) ).
fof(f916,plain,
( ~ sQ92_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f789]) ).
fof(f917,plain,
( ~ sQ88_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f794]) ).
fof(f918,plain,
( ~ sQ84_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f799]) ).
fof(f919,plain,
( ~ sQ80_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f804]) ).
fof(f920,plain,
( ~ sQ76_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f809]) ).
fof(f921,plain,
( ~ sQ72_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f814]) ).
fof(f922,plain,
( ~ sQ68_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f819]) ).
fof(f923,plain,
( ~ sQ64_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f824]) ).
fof(f924,plain,
( ~ sQ60_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f829]) ).
fof(f925,plain,
( ~ sQ56_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f834]) ).
fof(f926,plain,
( ~ sQ52_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f839]) ).
fof(f927,plain,
( ~ sQ48_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f844]) ).
fof(f928,plain,
( ~ sQ44_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f849]) ).
fof(f929,plain,
( ~ sQ40_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f854]) ).
fof(f930,plain,
( ~ sQ36_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f859]) ).
fof(f931,plain,
( ~ sQ32_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f864]) ).
fof(f932,plain,
( ~ sQ28_spl
| ~ sQ24_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f417,f402]) ).
fof(f934,plain,
( ~ sQ28_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f932]) ).
fof(f935,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f414,f402]) ).
fof(f936,plain,
( ~ sQ27_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f935]) ).
fof(f937,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f408,f402]) ).
fof(f938,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f937]) ).
fof(f939,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f411,f402]) ).
fof(f940,plain,
( ~ sQ26_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f939]) ).
fof(f941,plain,
$false,
inference(sat_refutation,[status(thm)],[f404,f419,f434,f449,f464,f479,f494,f509,f524,f539,f554,f569,f584,f587,f602,f617,f632,f647,f662,f677,f692,f707,f722,f737,f752,f755,f760,f765,f770,f775,f780,f785,f790,f795,f800,f805,f810,f815,f820,f825,f830,f835,f840,f845,f850,f855,f860,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f934,f936,f938,f940]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ017-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 03:50:08 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.44 % Refutation found
% 0.11/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.46 % Elapsed time: 0.085089 seconds
% 0.11/0.46 % CPU time: 0.434085 seconds
% 0.11/0.46 % Total memory used: 25.781 MB
% 0.11/0.46 % Net memory used: 25.426 MB
%------------------------------------------------------------------------------