%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN527+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 03:19:57 PM UTC 2026
% Result : CounterSatisfiable 0.15s 0.48s
% Output : Saturation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ~ c3_0
| ! [X10] :
( ndr1_0
=> ( c4_1(X10)
| c3_1(X10) ) )
| c1_0 )
& ( ! [X9] :
( ndr1_0
=> ( c3_1(X9)
| c4_1(X9)
| ~ c2_1(X9) ) )
| ( ~ c5_2(a275,a276)
& c4_2(a275,a276)
& c1_2(a275,a276)
& ndr1_1(a275)
& ! [X8] :
( ndr1_1(a275)
=> ( c2_2(a275,X8)
| c1_2(a275,X8) ) )
& ndr1_0 )
| c4_0 )
& ( ~ c5_0
| ~ c1_0
| ( c4_1(a274)
& c1_1(a274)
& ~ c5_1(a274)
& ndr1_0 ) )
& ( c2_0
| c5_0
| c4_0 )
& ( ! [X6] :
( ndr1_0
=> ( ( ~ c5_2(X6,a273)
& c2_2(X6,a273)
& ndr1_1(X6) )
| ( ~ c2_2(X6,a272)
& ~ c1_2(X6,a272)
& ndr1_1(X6) )
| ! [X7] :
( ndr1_1(X6)
=> ( ~ c2_2(X6,X7)
| ~ c3_2(X6,X7)
| c1_2(X6,X7) ) ) ) )
| ~ c3_0 )
& ( ! [X5] :
( ndr1_0
=> ( ~ c3_1(X5)
| c2_1(X5)
| ~ c5_1(X5) ) )
| ( ~ c2_2(a270,a271)
& c5_2(a270,a271)
& c3_2(a270,a271)
& ndr1_1(a270)
& ~ c5_1(a270)
& c4_1(a270)
& ndr1_0 )
| ! [X4] :
( ndr1_0
=> ( c4_1(X4)
| ( ~ c3_2(X4,a269)
& c5_2(X4,a269)
& ndr1_1(X4) )
| ~ c1_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c4_1(X3)
| c2_1(X3) ) )
| c3_0 )
& ( ( c3_2(a267,a268)
& ~ c4_2(a267,a268)
& c1_2(a267,a268)
& ndr1_1(a267)
& c5_1(a267)
& ndr1_0 )
| ~ c1_0
| ~ c5_0 )
& ( ( ! [X2] :
( ndr1_1(a265)
=> ( c3_2(a265,X2)
| ~ c2_2(a265,X2)
| c4_2(a265,X2) ) )
& c5_2(a265,a266)
& c1_2(a265,a266)
& ndr1_1(a265)
& ndr1_0 )
| ~ c4_0
| ~ c3_0 )
& ( c3_0
| c5_0
| ( c4_1(a264)
& ~ c5_1(a264)
& ~ c2_1(a264)
& ndr1_0 ) )
& ( ~ c1_0
| ( ~ c5_1(a262)
& ~ c3_2(a262,a263)
& ~ c5_2(a262,a263)
& c2_2(a262,a263)
& ndr1_1(a262)
& c4_1(a262)
& ndr1_0 ) )
& ( c2_0
| ! [X1] :
( ndr1_0
=> ( c1_1(X1)
| ( c3_2(X1,a261)
& c1_2(X1,a261)
& c4_2(X1,a261)
& ndr1_1(X1) ) ) ) )
& ( ~ c4_0
| ~ c1_0
| ~ c2_0 )
& ( ~ c2_0
| c1_0
| ( ~ c2_1(a260)
& c1_1(a260)
& ndr1_0 ) )
& ( ~ c2_0
| ( ~ c2_1(a258)
& ! [Z] :
( ndr1_1(a258)
=> ( c3_2(a258,Z)
| c1_2(a258,Z) ) )
& c5_2(a258,a259)
& c3_2(a258,a259)
& ndr1_1(a258)
& ndr1_0 ) )
& ( c2_0
| ~ c1_0 )
& ( c4_0
| ! [X] :
( ndr1_0
=> ( ! [Y] :
( ndr1_1(X)
=> ( ~ c2_2(X,Y)
| ~ c5_2(X,Y)
| ~ c4_2(X,Y) ) )
| ~ c4_1(X)
| ~ c1_1(X) ) )
| c1_0 )
& ( c2_0
| ( ~ c3_2(a256,a257)
& ~ c4_2(a256,a257)
& c1_2(a256,a257)
& ndr1_1(a256)
& ! [W] :
( ndr1_1(a256)
=> ( c3_2(a256,W)
| c4_2(a256,W)
| c1_2(a256,W) ) )
& ~ c4_1(a256)
& ndr1_0 )
| c4_0 )
& ( ~ c2_0
| ~ c5_0
| ~ c3_0 )
& ( c2_0
| ! [V] :
( ndr1_0
=> ( ( c4_2(V,a255)
& ~ c5_2(V,a255)
& ~ c1_2(V,a255)
& ndr1_1(V) )
| ( ~ c2_2(V,a254)
& c5_2(V,a254)
& ndr1_1(V) )
| ~ c2_1(V) ) )
| c3_0 )
& ( ( c5_2(a252,a253)
& c1_2(a252,a253)
& c4_2(a252,a253)
& ndr1_1(a252)
& ndr1_0 )
| ( c5_1(a251)
& ! [U] :
( ndr1_1(a251)
=> ( c4_2(a251,U)
| c2_2(a251,U) ) )
& ndr1_0 )
| c2_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( ~ c3_0
| ! [X10] :
( ndr1_0
=> ( c4_1(X10)
| c3_1(X10) ) )
| c1_0 )
& ( ! [X9] :
( ndr1_0
=> ( c3_1(X9)
| c4_1(X9)
| ~ c2_1(X9) ) )
| ( ~ c5_2(a275,a276)
& c4_2(a275,a276)
& c1_2(a275,a276)
& ndr1_1(a275)
& ! [X8] :
( ndr1_1(a275)
=> ( c2_2(a275,X8)
| c1_2(a275,X8) ) )
& ndr1_0 )
| c4_0 )
& ( ~ c5_0
| ~ c1_0
| ( c4_1(a274)
& c1_1(a274)
& ~ c5_1(a274)
& ndr1_0 ) )
& ( c2_0
| c5_0
| c4_0 )
& ( ! [X6] :
( ndr1_0
=> ( ( ~ c5_2(X6,a273)
& c2_2(X6,a273)
& ndr1_1(X6) )
| ( ~ c2_2(X6,a272)
& ~ c1_2(X6,a272)
& ndr1_1(X6) )
| ! [X7] :
( ndr1_1(X6)
=> ( ~ c2_2(X6,X7)
| ~ c3_2(X6,X7)
| c1_2(X6,X7) ) ) ) )
| ~ c3_0 )
& ( ! [X5] :
( ndr1_0
=> ( ~ c3_1(X5)
| c2_1(X5)
| ~ c5_1(X5) ) )
| ( ~ c2_2(a270,a271)
& c5_2(a270,a271)
& c3_2(a270,a271)
& ndr1_1(a270)
& ~ c5_1(a270)
& c4_1(a270)
& ndr1_0 )
| ! [X4] :
( ndr1_0
=> ( c4_1(X4)
| ( ~ c3_2(X4,a269)
& c5_2(X4,a269)
& ndr1_1(X4) )
| ~ c1_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c4_1(X3)
| c2_1(X3) ) )
| c3_0 )
& ( ( c3_2(a267,a268)
& ~ c4_2(a267,a268)
& c1_2(a267,a268)
& ndr1_1(a267)
& c5_1(a267)
& ndr1_0 )
| ~ c1_0
| ~ c5_0 )
& ( ( ! [X2] :
( ndr1_1(a265)
=> ( c3_2(a265,X2)
| ~ c2_2(a265,X2)
| c4_2(a265,X2) ) )
& c5_2(a265,a266)
& c1_2(a265,a266)
& ndr1_1(a265)
& ndr1_0 )
| ~ c4_0
| ~ c3_0 )
& ( c3_0
| c5_0
| ( c4_1(a264)
& ~ c5_1(a264)
& ~ c2_1(a264)
& ndr1_0 ) )
& ( ~ c1_0
| ( ~ c5_1(a262)
& ~ c3_2(a262,a263)
& ~ c5_2(a262,a263)
& c2_2(a262,a263)
& ndr1_1(a262)
& c4_1(a262)
& ndr1_0 ) )
& ( c2_0
| ! [X1] :
( ndr1_0
=> ( c1_1(X1)
| ( c3_2(X1,a261)
& c1_2(X1,a261)
& c4_2(X1,a261)
& ndr1_1(X1) ) ) ) )
& ( ~ c4_0
| ~ c1_0
| ~ c2_0 )
& ( ~ c2_0
| c1_0
| ( ~ c2_1(a260)
& c1_1(a260)
& ndr1_0 ) )
& ( ~ c2_0
| ( ~ c2_1(a258)
& ! [Z] :
( ndr1_1(a258)
=> ( c3_2(a258,Z)
| c1_2(a258,Z) ) )
& c5_2(a258,a259)
& c3_2(a258,a259)
& ndr1_1(a258)
& ndr1_0 ) )
& ( c2_0
| ~ c1_0 )
& ( c4_0
| ! [X] :
( ndr1_0
=> ( ! [Y] :
( ndr1_1(X)
=> ( ~ c2_2(X,Y)
| ~ c5_2(X,Y)
| ~ c4_2(X,Y) ) )
| ~ c4_1(X)
| ~ c1_1(X) ) )
| c1_0 )
& ( c2_0
| ( ~ c3_2(a256,a257)
& ~ c4_2(a256,a257)
& c1_2(a256,a257)
& ndr1_1(a256)
& ! [W] :
( ndr1_1(a256)
=> ( c3_2(a256,W)
| c4_2(a256,W)
| c1_2(a256,W) ) )
& ~ c4_1(a256)
& ndr1_0 )
| c4_0 )
& ( ~ c2_0
| ~ c5_0
| ~ c3_0 )
& ( c2_0
| ! [V] :
( ndr1_0
=> ( ( c4_2(V,a255)
& ~ c5_2(V,a255)
& ~ c1_2(V,a255)
& ndr1_1(V) )
| ( ~ c2_2(V,a254)
& c5_2(V,a254)
& ndr1_1(V) )
| ~ c2_1(V) ) )
| c3_0 )
& ( ( c5_2(a252,a253)
& c1_2(a252,a253)
& c4_2(a252,a253)
& ndr1_1(a252)
& ndr1_0 )
| ( c5_1(a251)
& ! [U] :
( ndr1_1(a251)
=> ( c4_2(a251,U)
| c2_2(a251,U) ) )
& ndr1_0 )
| c2_0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ~ c3_0
| ! [X10] :
( c4_1(X10)
| c3_1(X10)
| ~ ndr1_0 )
| c1_0 )
& ( ! [X9] :
( c3_1(X9)
| c4_1(X9)
| ~ c2_1(X9)
| ~ ndr1_0 )
| ( ~ c5_2(a275,a276)
& c4_2(a275,a276)
& c1_2(a275,a276)
& ndr1_1(a275)
& ! [X8] :
( c2_2(a275,X8)
| c1_2(a275,X8)
| ~ ndr1_1(a275) )
& ndr1_0 )
| c4_0 )
& ( ~ c5_0
| ~ c1_0
| ( c4_1(a274)
& c1_1(a274)
& ~ c5_1(a274)
& ndr1_0 ) )
& ( c2_0
| c5_0
| c4_0 )
& ( ! [X6] :
( ( ~ c5_2(X6,a273)
& c2_2(X6,a273)
& ndr1_1(X6) )
| ( ~ c2_2(X6,a272)
& ~ c1_2(X6,a272)
& ndr1_1(X6) )
| ! [X7] :
( ~ c2_2(X6,X7)
| ~ c3_2(X6,X7)
| c1_2(X6,X7)
| ~ ndr1_1(X6) )
| ~ ndr1_0 )
| ~ c3_0 )
& ( ! [X5] :
( ~ c3_1(X5)
| c2_1(X5)
| ~ c5_1(X5)
| ~ ndr1_0 )
| ( ~ c2_2(a270,a271)
& c5_2(a270,a271)
& c3_2(a270,a271)
& ndr1_1(a270)
& ~ c5_1(a270)
& c4_1(a270)
& ndr1_0 )
| ! [X4] :
( c4_1(X4)
| ( ~ c3_2(X4,a269)
& c5_2(X4,a269)
& ndr1_1(X4) )
| ~ c1_1(X4)
| ~ ndr1_0 ) )
& ( ! [X3] :
( ~ c4_1(X3)
| c2_1(X3)
| ~ ndr1_0 )
| c3_0 )
& ( ( c3_2(a267,a268)
& ~ c4_2(a267,a268)
& c1_2(a267,a268)
& ndr1_1(a267)
& c5_1(a267)
& ndr1_0 )
| ~ c1_0
| ~ c5_0 )
& ( ( ! [X2] :
( c3_2(a265,X2)
| ~ c2_2(a265,X2)
| c4_2(a265,X2)
| ~ ndr1_1(a265) )
& c5_2(a265,a266)
& c1_2(a265,a266)
& ndr1_1(a265)
& ndr1_0 )
| ~ c4_0
| ~ c3_0 )
& ( c3_0
| c5_0
| ( c4_1(a264)
& ~ c5_1(a264)
& ~ c2_1(a264)
& ndr1_0 ) )
& ( ~ c1_0
| ( ~ c5_1(a262)
& ~ c3_2(a262,a263)
& ~ c5_2(a262,a263)
& c2_2(a262,a263)
& ndr1_1(a262)
& c4_1(a262)
& ndr1_0 ) )
& ( c2_0
| ! [X1] :
( c1_1(X1)
| ( c3_2(X1,a261)
& c1_2(X1,a261)
& c4_2(X1,a261)
& ndr1_1(X1) )
| ~ ndr1_0 ) )
& ( ~ c4_0
| ~ c1_0
| ~ c2_0 )
& ( ~ c2_0
| c1_0
| ( ~ c2_1(a260)
& c1_1(a260)
& ndr1_0 ) )
& ( ~ c2_0
| ( ~ c2_1(a258)
& ! [Z] :
( c3_2(a258,Z)
| c1_2(a258,Z)
| ~ ndr1_1(a258) )
& c5_2(a258,a259)
& c3_2(a258,a259)
& ndr1_1(a258)
& ndr1_0 ) )
& ( c2_0
| ~ c1_0 )
& ( c4_0
| ! [X] :
( ! [Y] :
( ~ c2_2(X,Y)
| ~ c5_2(X,Y)
| ~ c4_2(X,Y)
| ~ ndr1_1(X) )
| ~ c4_1(X)
| ~ c1_1(X)
| ~ ndr1_0 )
| c1_0 )
& ( c2_0
| ( ~ c3_2(a256,a257)
& ~ c4_2(a256,a257)
& c1_2(a256,a257)
& ndr1_1(a256)
& ! [W] :
( c3_2(a256,W)
| c4_2(a256,W)
| c1_2(a256,W)
| ~ ndr1_1(a256) )
& ~ c4_1(a256)
& ndr1_0 )
| c4_0 )
& ( ~ c2_0
| ~ c5_0
| ~ c3_0 )
& ( c2_0
| ! [V] :
( ( c4_2(V,a255)
& ~ c5_2(V,a255)
& ~ c1_2(V,a255)
& ndr1_1(V) )
| ( ~ c2_2(V,a254)
& c5_2(V,a254)
& ndr1_1(V) )
| ~ c2_1(V)
| ~ ndr1_0 )
| c3_0 )
& ( ( c5_2(a252,a253)
& c1_2(a252,a253)
& c4_2(a252,a253)
& ndr1_1(a252)
& ndr1_0 )
| ( c5_1(a251)
& ! [U] :
( c4_2(a251,U)
| c2_2(a251,U)
| ~ ndr1_1(a251) )
& ndr1_0 )
| c2_0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
( sP0_prd
<=> ( c5_1(a251)
& ! [U] :
( c4_2(a251,U)
| c2_2(a251,U)
| ~ ndr1_1(a251) )
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
! [V] :
( sP1_prd(V)
<=> ( ~ c2_2(V,a254)
& c5_2(V,a254)
& ndr1_1(V) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
! [X4] :
( sP2_prd(X4)
<=> ( ~ c3_2(X4,a269)
& c5_2(X4,a269)
& ndr1_1(X4) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
! [X6] :
( sP3_prd(X6)
<=> ( ~ c2_2(X6,a272)
& ~ c1_2(X6,a272)
& ndr1_1(X6) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,plain,
( ( ~ c3_0
| ! [X10] :
( c4_1(X10)
| c3_1(X10)
| ~ ndr1_0 )
| c1_0 )
& ( ! [X9] :
( c3_1(X9)
| c4_1(X9)
| ~ c2_1(X9)
| ~ ndr1_0 )
| ( ~ c5_2(a275,a276)
& c4_2(a275,a276)
& c1_2(a275,a276)
& ndr1_1(a275)
& ! [X8] :
( c2_2(a275,X8)
| c1_2(a275,X8)
| ~ ndr1_1(a275) )
& ndr1_0 )
| c4_0 )
& ( ~ c5_0
| ~ c1_0
| ( c4_1(a274)
& c1_1(a274)
& ~ c5_1(a274)
& ndr1_0 ) )
& ( c2_0
| c5_0
| c4_0 )
& ( ! [X6] :
( ( ~ c5_2(X6,a273)
& c2_2(X6,a273)
& ndr1_1(X6) )
| sP3_prd(X6)
| ! [X7] :
( ~ c2_2(X6,X7)
| ~ c3_2(X6,X7)
| c1_2(X6,X7)
| ~ ndr1_1(X6) )
| ~ ndr1_0 )
| ~ c3_0 )
& ( ! [X5] :
( ~ c3_1(X5)
| c2_1(X5)
| ~ c5_1(X5)
| ~ ndr1_0 )
| ( ~ c2_2(a270,a271)
& c5_2(a270,a271)
& c3_2(a270,a271)
& ndr1_1(a270)
& ~ c5_1(a270)
& c4_1(a270)
& ndr1_0 )
| ! [X4] :
( c4_1(X4)
| sP2_prd(X4)
| ~ c1_1(X4)
| ~ ndr1_0 ) )
& ( ! [X3] :
( ~ c4_1(X3)
| c2_1(X3)
| ~ ndr1_0 )
| c3_0 )
& ( ( c3_2(a267,a268)
& ~ c4_2(a267,a268)
& c1_2(a267,a268)
& ndr1_1(a267)
& c5_1(a267)
& ndr1_0 )
| ~ c1_0
| ~ c5_0 )
& ( ( ! [X2] :
( c3_2(a265,X2)
| ~ c2_2(a265,X2)
| c4_2(a265,X2)
| ~ ndr1_1(a265) )
& c5_2(a265,a266)
& c1_2(a265,a266)
& ndr1_1(a265)
& ndr1_0 )
| ~ c4_0
| ~ c3_0 )
& ( c3_0
| c5_0
| ( c4_1(a264)
& ~ c5_1(a264)
& ~ c2_1(a264)
& ndr1_0 ) )
& ( ~ c1_0
| ( ~ c5_1(a262)
& ~ c3_2(a262,a263)
& ~ c5_2(a262,a263)
& c2_2(a262,a263)
& ndr1_1(a262)
& c4_1(a262)
& ndr1_0 ) )
& ( c2_0
| ! [X1] :
( c1_1(X1)
| ( c3_2(X1,a261)
& c1_2(X1,a261)
& c4_2(X1,a261)
& ndr1_1(X1) )
| ~ ndr1_0 ) )
& ( ~ c4_0
| ~ c1_0
| ~ c2_0 )
& ( ~ c2_0
| c1_0
| ( ~ c2_1(a260)
& c1_1(a260)
& ndr1_0 ) )
& ( ~ c2_0
| ( ~ c2_1(a258)
& ! [Z] :
( c3_2(a258,Z)
| c1_2(a258,Z)
| ~ ndr1_1(a258) )
& c5_2(a258,a259)
& c3_2(a258,a259)
& ndr1_1(a258)
& ndr1_0 ) )
& ( c2_0
| ~ c1_0 )
& ( c4_0
| ! [X] :
( ! [Y] :
( ~ c2_2(X,Y)
| ~ c5_2(X,Y)
| ~ c4_2(X,Y)
| ~ ndr1_1(X) )
| ~ c4_1(X)
| ~ c1_1(X)
| ~ ndr1_0 )
| c1_0 )
& ( c2_0
| ( ~ c3_2(a256,a257)
& ~ c4_2(a256,a257)
& c1_2(a256,a257)
& ndr1_1(a256)
& ! [W] :
( c3_2(a256,W)
| c4_2(a256,W)
| c1_2(a256,W)
| ~ ndr1_1(a256) )
& ~ c4_1(a256)
& ndr1_0 )
| c4_0 )
& ( ~ c2_0
| ~ c5_0
| ~ c3_0 )
& ( c2_0
| ! [V] :
( ( c4_2(V,a255)
& ~ c5_2(V,a255)
& ~ c1_2(V,a255)
& ndr1_1(V) )
| sP1_prd(V)
| ~ c2_1(V)
| ~ ndr1_0 )
| c3_0 )
& ( ( c5_2(a252,a253)
& c1_2(a252,a253)
& c4_2(a252,a253)
& ndr1_1(a252)
& ndr1_0 )
| sP0_prd
| c2_0 ) ),
inference(formula_renaming,[status(thm)],[f3,f7,f6,f5,f4]) ).
fof(f9,plain,
( ( ~ c3_0
| ! [X10] :
( c4_1(X10)
| c3_1(X10) )
| ~ ndr1_0
| c1_0 )
& ( ! [X9] :
( c3_1(X9)
| c4_1(X9)
| ~ c2_1(X9) )
| ~ ndr1_0
| ( ~ c5_2(a275,a276)
& c4_2(a275,a276)
& c1_2(a275,a276)
& ndr1_1(a275)
& ( ! [X8] :
( c2_2(a275,X8)
| c1_2(a275,X8) )
| ~ ndr1_1(a275) )
& ndr1_0 )
| c4_0 )
& ( ~ c5_0
| ~ c1_0
| ( c4_1(a274)
& c1_1(a274)
& ~ c5_1(a274)
& ndr1_0 ) )
& ( c2_0
| c5_0
| c4_0 )
& ( ! [X6] :
( ( ~ c5_2(X6,a273)
& c2_2(X6,a273)
& ndr1_1(X6) )
| sP3_prd(X6)
| ! [X7] :
( ~ c2_2(X6,X7)
| ~ c3_2(X6,X7)
| c1_2(X6,X7) )
| ~ ndr1_1(X6) )
| ~ ndr1_0
| ~ c3_0 )
& ( ! [X5] :
( ~ c3_1(X5)
| c2_1(X5)
| ~ c5_1(X5) )
| ~ ndr1_0
| ( ~ c2_2(a270,a271)
& c5_2(a270,a271)
& c3_2(a270,a271)
& ndr1_1(a270)
& ~ c5_1(a270)
& c4_1(a270)
& ndr1_0 )
| ! [X4] :
( c4_1(X4)
| sP2_prd(X4)
| ~ c1_1(X4) )
| ~ ndr1_0 )
& ( ! [X3] :
( ~ c4_1(X3)
| c2_1(X3) )
| ~ ndr1_0
| c3_0 )
& ( ( c3_2(a267,a268)
& ~ c4_2(a267,a268)
& c1_2(a267,a268)
& ndr1_1(a267)
& c5_1(a267)
& ndr1_0 )
| ~ c1_0
| ~ c5_0 )
& ( ( ( ! [X2] :
( c3_2(a265,X2)
| ~ c2_2(a265,X2)
| c4_2(a265,X2) )
| ~ ndr1_1(a265) )
& c5_2(a265,a266)
& c1_2(a265,a266)
& ndr1_1(a265)
& ndr1_0 )
| ~ c4_0
| ~ c3_0 )
& ( c3_0
| c5_0
| ( c4_1(a264)
& ~ c5_1(a264)
& ~ c2_1(a264)
& ndr1_0 ) )
& ( ~ c1_0
| ( ~ c5_1(a262)
& ~ c3_2(a262,a263)
& ~ c5_2(a262,a263)
& c2_2(a262,a263)
& ndr1_1(a262)
& c4_1(a262)
& ndr1_0 ) )
& ( c2_0
| ! [X1] :
( c1_1(X1)
| ( c3_2(X1,a261)
& c1_2(X1,a261)
& c4_2(X1,a261)
& ndr1_1(X1) ) )
| ~ ndr1_0 )
& ( ~ c4_0
| ~ c1_0
| ~ c2_0 )
& ( ~ c2_0
| c1_0
| ( ~ c2_1(a260)
& c1_1(a260)
& ndr1_0 ) )
& ( ~ c2_0
| ( ~ c2_1(a258)
& ( ! [Z] :
( c3_2(a258,Z)
| c1_2(a258,Z) )
| ~ ndr1_1(a258) )
& c5_2(a258,a259)
& c3_2(a258,a259)
& ndr1_1(a258)
& ndr1_0 ) )
& ( c2_0
| ~ c1_0 )
& ( c4_0
| ! [X] :
( ! [Y] :
( ~ c2_2(X,Y)
| ~ c5_2(X,Y)
| ~ c4_2(X,Y) )
| ~ ndr1_1(X)
| ~ c4_1(X)
| ~ c1_1(X) )
| ~ ndr1_0
| c1_0 )
& ( c2_0
| ( ~ c3_2(a256,a257)
& ~ c4_2(a256,a257)
& c1_2(a256,a257)
& ndr1_1(a256)
& ( ! [W] :
( c3_2(a256,W)
| c4_2(a256,W)
| c1_2(a256,W) )
| ~ ndr1_1(a256) )
& ~ c4_1(a256)
& ndr1_0 )
| c4_0 )
& ( ~ c2_0
| ~ c5_0
| ~ c3_0 )
& ( c2_0
| ! [V] :
( ( c4_2(V,a255)
& ~ c5_2(V,a255)
& ~ c1_2(V,a255)
& ndr1_1(V) )
| sP1_prd(V)
| ~ c2_1(V) )
| ~ ndr1_0
| c3_0 )
& ( ( c5_2(a252,a253)
& c1_2(a252,a253)
& c4_2(a252,a253)
& ndr1_1(a252)
& ndr1_0 )
| sP0_prd
| c2_0 ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f10,plain,
( ndr1_0
| sP0_prd
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
( ndr1_1(a252)
| sP0_prd
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f12,plain,
( c4_2(a252,a253)
| sP0_prd
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f13,plain,
( c1_2(a252,a253)
| sP0_prd
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f14,plain,
( c5_2(a252,a253)
| sP0_prd
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f15,plain,
! [X0] :
( c2_0
| ndr1_1(X0)
| sP1_prd(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f16,plain,
! [X0] :
( c2_0
| ~ c1_2(X0,a255)
| sP1_prd(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f17,plain,
! [X0] :
( c2_0
| ~ c5_2(X0,a255)
| sP1_prd(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f18,plain,
! [X0] :
( c2_0
| c4_2(X0,a255)
| sP1_prd(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f19,plain,
( ~ c2_0
| ~ c5_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
( c2_0
| ndr1_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
( c2_0
| ~ c4_1(a256)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,plain,
! [X0] :
( c2_0
| c3_2(a256,X0)
| c4_2(a256,X0)
| c1_2(a256,X0)
| ~ ndr1_1(a256)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f23,plain,
( c2_0
| ndr1_1(a256)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
( c2_0
| c1_2(a256,a257)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
( c2_0
| ~ c4_2(a256,a257)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f26,plain,
( c2_0
| ~ c3_2(a256,a257)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f27,plain,
! [X0,X1] :
( c4_0
| ~ c2_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
( c2_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f29,plain,
( ~ c2_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
( ~ c2_0
| ndr1_1(a258) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
( ~ c2_0
| c3_2(a258,a259) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f32,plain,
( ~ c2_0
| c5_2(a258,a259) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f33,plain,
! [X0] :
( ~ c2_0
| c3_2(a258,X0)
| c1_2(a258,X0)
| ~ ndr1_1(a258) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f34,plain,
( ~ c2_0
| ~ c2_1(a258) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f36,plain,
( ~ c2_0
| c1_0
| c1_1(a260) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f37,plain,
( ~ c2_0
| c1_0
| ~ c2_1(a260) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f38,plain,
( ~ c4_0
| ~ c1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f39,plain,
! [X0] :
( c2_0
| c1_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f40,plain,
! [X0] :
( c2_0
| c1_1(X0)
| c4_2(X0,a261)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f41,plain,
! [X0] :
( c2_0
| c1_1(X0)
| c1_2(X0,a261)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f42,plain,
! [X0] :
( c2_0
| c1_1(X0)
| c3_2(X0,a261)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f43,plain,
( ~ c1_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f44,plain,
( ~ c1_0
| c4_1(a262) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f45,plain,
( ~ c1_0
| ndr1_1(a262) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f46,plain,
( ~ c1_0
| c2_2(a262,a263) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f47,plain,
( ~ c1_0
| ~ c5_2(a262,a263) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f48,plain,
( ~ c1_0
| ~ c3_2(a262,a263) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f49,plain,
( ~ c1_0
| ~ c5_1(a262) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f50,plain,
( c3_0
| c5_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f51,plain,
( c3_0
| c5_0
| ~ c2_1(a264) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f52,plain,
( c3_0
| c5_0
| ~ c5_1(a264) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f53,plain,
( c3_0
| c5_0
| c4_1(a264) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f54,plain,
( ndr1_0
| ~ c4_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f55,plain,
( ndr1_1(a265)
| ~ c4_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f56,plain,
( c1_2(a265,a266)
| ~ c4_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f57,plain,
( c5_2(a265,a266)
| ~ c4_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f58,plain,
! [X0] :
( c3_2(a265,X0)
| ~ c2_2(a265,X0)
| c4_2(a265,X0)
| ~ ndr1_1(a265)
| ~ c4_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f59,plain,
( ndr1_0
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f60,plain,
( c5_1(a267)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f61,plain,
( ndr1_1(a267)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f62,plain,
( c1_2(a267,a268)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f63,plain,
( ~ c4_2(a267,a268)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f64,plain,
( c3_2(a267,a268)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f65,plain,
! [X0] :
( ~ c4_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f67,plain,
! [X0,X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c5_1(X1)
| ~ ndr1_0
| c4_1(a270)
| c4_1(X0)
| sP2_prd(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f68,plain,
! [X0,X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c5_1(X1)
| ~ ndr1_0
| ~ c5_1(a270)
| c4_1(X0)
| sP2_prd(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f69,plain,
! [X0,X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c5_1(X1)
| ~ ndr1_0
| ndr1_1(a270)
| c4_1(X0)
| sP2_prd(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f70,plain,
! [X0,X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c5_1(X1)
| ~ ndr1_0
| c3_2(a270,a271)
| c4_1(X0)
| sP2_prd(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f71,plain,
! [X0,X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c5_1(X1)
| ~ ndr1_0
| c5_2(a270,a271)
| c4_1(X0)
| sP2_prd(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f72,plain,
! [X0,X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c5_1(X1)
| ~ ndr1_0
| ~ c2_2(a270,a271)
| c4_1(X0)
| sP2_prd(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f73,plain,
! [X0,X1] :
( ndr1_1(X0)
| sP3_prd(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f74,plain,
! [X0,X1] :
( c2_2(X0,a273)
| sP3_prd(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f75,plain,
! [X0,X1] :
( ~ c5_2(X0,a273)
| sP3_prd(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f76,plain,
( c2_0
| c5_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f78,plain,
( ~ c5_0
| ~ c1_0
| ~ c5_1(a274) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f79,plain,
( ~ c5_0
| ~ c1_0
| c1_1(a274) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f80,plain,
( ~ c5_0
| ~ c1_0
| c4_1(a274) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f82,plain,
! [X0,X1] :
( c3_1(X1)
| c4_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| c2_2(a275,X0)
| c1_2(a275,X0)
| ~ ndr1_1(a275)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f83,plain,
! [X0] :
( c3_1(X0)
| c4_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ndr1_1(a275)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f84,plain,
! [X0] :
( c3_1(X0)
| c4_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c1_2(a275,a276)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f85,plain,
! [X0] :
( c3_1(X0)
| c4_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c4_2(a275,a276)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f86,plain,
! [X0] :
( c3_1(X0)
| c4_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c5_2(a275,a276)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f87,plain,
! [X0] :
( ~ c3_0
| c4_1(X0)
| c3_1(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f88,plain,
( ( ~ c5_1(a251)
| ? [U] :
( ~ c4_2(a251,U)
& ~ c2_2(a251,U)
& ndr1_1(a251) )
| ~ ndr1_0
| sP0_prd )
& ( ( c5_1(a251)
& ! [U] :
( c4_2(a251,U)
| c2_2(a251,U)
| ~ ndr1_1(a251) )
& ndr1_0 )
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f89,plain,
( ( ~ c5_1(a251)
| ( ? [U] :
( ~ c4_2(a251,U)
& ~ c2_2(a251,U) )
& ndr1_1(a251) )
| ~ ndr1_0
| sP0_prd )
& ( ( c5_1(a251)
& ( ! [U] :
( c4_2(a251,U)
| c2_2(a251,U) )
| ~ ndr1_1(a251) )
& ndr1_0 )
| ~ sP0_prd ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f90,plain,
( ( ~ c5_1(a251)
| ( ~ c4_2(a251,sK0_skl)
& ~ c2_2(a251,sK0_skl)
& ndr1_1(a251) )
| ~ ndr1_0
| sP0_prd )
& ( ( c5_1(a251)
& ( ! [U] :
( c4_2(a251,U)
| c2_2(a251,U) )
| ~ ndr1_1(a251) )
& ndr1_0 )
| ~ sP0_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl)],[f89]) ).
fof(f91,plain,
( ndr1_0
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f92,plain,
! [X0] :
( c4_2(a251,X0)
| c2_2(a251,X0)
| ~ ndr1_1(a251)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f93,plain,
( c5_1(a251)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f94,plain,
( ~ c5_1(a251)
| ndr1_1(a251)
| ~ ndr1_0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f95,plain,
( ~ c5_1(a251)
| ~ c2_2(a251,sK0_skl)
| ~ ndr1_0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f96,plain,
( ~ c5_1(a251)
| ~ c4_2(a251,sK0_skl)
| ~ ndr1_0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f97,plain,
! [V] :
( ( c2_2(V,a254)
| ~ c5_2(V,a254)
| ~ ndr1_1(V)
| sP1_prd(V) )
& ( ( ~ c2_2(V,a254)
& c5_2(V,a254)
& ndr1_1(V) )
| ~ sP1_prd(V) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f98,plain,
( ! [V] :
( c2_2(V,a254)
| ~ c5_2(V,a254)
| ~ ndr1_1(V)
| sP1_prd(V) )
& ! [V] :
( ( ~ c2_2(V,a254)
& c5_2(V,a254)
& ndr1_1(V) )
| ~ sP1_prd(V) ) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f99,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f100,plain,
! [X0] :
( c5_2(X0,a254)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f101,plain,
! [X0] :
( ~ c2_2(X0,a254)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f102,plain,
! [X0] :
( c2_2(X0,a254)
| ~ c5_2(X0,a254)
| ~ ndr1_1(X0)
| sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f103,plain,
! [X4] :
( ( c3_2(X4,a269)
| ~ c5_2(X4,a269)
| ~ ndr1_1(X4)
| sP2_prd(X4) )
& ( ( ~ c3_2(X4,a269)
& c5_2(X4,a269)
& ndr1_1(X4) )
| ~ sP2_prd(X4) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f104,plain,
( ! [X4] :
( c3_2(X4,a269)
| ~ c5_2(X4,a269)
| ~ ndr1_1(X4)
| sP2_prd(X4) )
& ! [X4] :
( ( ~ c3_2(X4,a269)
& c5_2(X4,a269)
& ndr1_1(X4) )
| ~ sP2_prd(X4) ) ),
inference(miniscoping,[status(thm)],[f103]) ).
fof(f105,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
! [X0] :
( c5_2(X0,a269)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f107,plain,
! [X0] :
( ~ c3_2(X0,a269)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f108,plain,
! [X0] :
( c3_2(X0,a269)
| ~ c5_2(X0,a269)
| ~ ndr1_1(X0)
| sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f109,plain,
! [X6] :
( ( c2_2(X6,a272)
| c1_2(X6,a272)
| ~ ndr1_1(X6)
| sP3_prd(X6) )
& ( ( ~ c2_2(X6,a272)
& ~ c1_2(X6,a272)
& ndr1_1(X6) )
| ~ sP3_prd(X6) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f110,plain,
( ! [X6] :
( c2_2(X6,a272)
| c1_2(X6,a272)
| ~ ndr1_1(X6)
| sP3_prd(X6) )
& ! [X6] :
( ( ~ c2_2(X6,a272)
& ~ c1_2(X6,a272)
& ndr1_1(X6) )
| ~ sP3_prd(X6) ) ),
inference(miniscoping,[status(thm)],[f109]) ).
fof(f111,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f112,plain,
! [X0] :
( ~ c1_2(X0,a272)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f113,plain,
! [X0] :
( ~ c2_2(X0,a272)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f114,plain,
! [X0] :
( c2_2(X0,a272)
| c1_2(X0,a272)
| ~ ndr1_1(X0)
| sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f115,definition,
( sQ0_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ0_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
( sQ1_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( sQ1_spl
| ~ sP0_prd ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ2_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ2_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f115,f118,f121]) ).
fof(f125,definition,
( sQ3_spl
<=> ndr1_1(a252) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( sQ3_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f11,f115,f118,f125]) ).
fof(f129,definition,
( sQ4_spl
<=> c4_2(a252,a253) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( sQ4_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f12,f115,f118,f129]) ).
fof(f133,definition,
( sQ5_spl
<=> c1_2(a252,a253) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( sQ5_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f115,f118,f133]) ).
fof(f137,definition,
( sQ6_spl
<=> c5_2(a252,a253) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( sQ6_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f14,f115,f118,f137]) ).
fof(f141,definition,
( sQ7_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ7_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
! [X0] :
( sQ8_spl
<=> ( ndr1_1(X0)
| sP1_prd(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( sQ0_spl
| sQ8_spl
| ~ sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f15,f141,f121,f144,f115]) ).
fof(f148,definition,
! [X0] :
( sQ9_spl
<=> ( ~ c1_2(X0,a255)
| sP1_prd(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( sQ0_spl
| sQ9_spl
| ~ sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f16,f141,f121,f148,f115]) ).
fof(f152,definition,
! [X0] :
( sQ10_spl
<=> ( ~ c5_2(X0,a255)
| sP1_prd(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( sQ0_spl
| sQ10_spl
| ~ sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f17,f141,f121,f152,f115]) ).
fof(f156,definition,
! [X0] :
( sQ11_spl
<=> ( c4_2(X0,a255)
| sP1_prd(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( sQ0_spl
| sQ11_spl
| ~ sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f18,f141,f121,f156,f115]) ).
fof(f160,definition,
( sQ12_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( sQ12_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f19,f141,f160,f115]) ).
fof(f164,definition,
( sQ13_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( sQ13_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( sQ0_spl
| sQ2_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f20,f164,f121,f115]) ).
fof(f168,definition,
( sQ14_spl
<=> c4_1(a256) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( sQ0_spl
| ~ sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f21,f164,f168,f115]) ).
fof(f172,definition,
( sQ15_spl
<=> ndr1_1(a256) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f175,definition,
! [X0] :
( sQ16_spl
<=> ( c3_2(a256,X0)
| c4_2(a256,X0)
| c1_2(a256,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( sQ0_spl
| sQ16_spl
| ~ sQ15_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f22,f164,f172,f175,f115]) ).
fof(f179,plain,
( sQ0_spl
| sQ15_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f23,f164,f172,f115]) ).
fof(f180,definition,
( sQ17_spl
<=> c1_2(a256,a257) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( sQ0_spl
| sQ17_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f24,f164,f180,f115]) ).
fof(f184,definition,
( sQ18_spl
<=> c4_2(a256,a257) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( sQ0_spl
| ~ sQ18_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f25,f164,f184,f115]) ).
fof(f188,definition,
( sQ19_spl
<=> c3_2(a256,a257) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( sQ0_spl
| ~ sQ19_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f26,f164,f188,f115]) ).
fof(f192,definition,
( sQ20_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ20_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,definition,
! [X0,X1] :
( sQ21_spl
<=> ( ~ c2_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( sQ13_spl
| sQ21_spl
| ~ sQ2_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f27,f192,f121,f195,f164]) ).
fof(f199,plain,
( sQ0_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f28,f192,f115]) ).
fof(f200,plain,
( ~ sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f29,f121,f115]) ).
fof(f201,definition,
( sQ22_spl
<=> ndr1_1(a258) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ22_spl
| ndr1_1(a258) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,plain,
( ~ sQ0_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f30,f201,f115]) ).
fof(f205,definition,
( sQ23_spl
<=> c3_2(a258,a259) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ23_spl
| c3_2(a258,a259) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( ~ sQ0_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f31,f205,f115]) ).
fof(f209,definition,
( sQ24_spl
<=> c5_2(a258,a259) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ24_spl
| c5_2(a258,a259) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( ~ sQ0_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f32,f209,f115]) ).
fof(f213,definition,
! [X0] :
( sQ25_spl
<=> ( c3_2(a258,X0)
| c1_2(a258,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f214,plain,
! [X0] :
( ~ sQ25_spl
| c3_2(a258,X0)
| c1_2(a258,X0) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( ~ sQ0_spl
| sQ25_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f33,f201,f213,f115]) ).
fof(f217,definition,
( sQ26_spl
<=> c2_1(a258) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( sQ26_spl
| ~ c2_1(a258) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( ~ sQ0_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f34,f217,f115]) ).
fof(f222,definition,
( sQ27_spl
<=> c1_1(a260) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ0_spl
| sQ20_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f36,f222,f192,f115]) ).
fof(f226,definition,
( sQ28_spl
<=> c2_1(a260) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ0_spl
| sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f226,f192,f115]) ).
fof(f230,plain,
( ~ sQ13_spl
| ~ sQ20_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f38,f115,f192,f164]) ).
fof(f231,definition,
! [X0] :
( sQ29_spl
<=> ( c1_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( sQ0_spl
| sQ29_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f39,f121,f231,f115]) ).
fof(f235,definition,
! [X0] :
( sQ30_spl
<=> ( c1_1(X0)
| c4_2(X0,a261) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( sQ0_spl
| sQ30_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f40,f121,f235,f115]) ).
fof(f239,definition,
! [X0] :
( sQ31_spl
<=> ( c1_1(X0)
| c1_2(X0,a261) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( sQ0_spl
| sQ31_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f121,f239,f115]) ).
fof(f243,definition,
! [X0] :
( sQ32_spl
<=> ( c1_1(X0)
| c3_2(X0,a261) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( sQ0_spl
| sQ32_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f42,f121,f243,f115]) ).
fof(f247,plain,
( ~ sQ20_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f43,f121,f192]) ).
fof(f248,definition,
( sQ33_spl
<=> c4_1(a262) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ33_spl
| c4_1(a262) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( ~ sQ20_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f44,f248,f192]) ).
fof(f252,definition,
( sQ34_spl
<=> ndr1_1(a262) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ34_spl
| ndr1_1(a262) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( ~ sQ20_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f45,f252,f192]) ).
fof(f256,definition,
( sQ35_spl
<=> c2_2(a262,a263) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ35_spl
| c2_2(a262,a263) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,plain,
( ~ sQ20_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f46,f256,f192]) ).
fof(f260,definition,
( sQ36_spl
<=> c5_2(a262,a263) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( sQ36_spl
| ~ c5_2(a262,a263) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f47,f260,f192]) ).
fof(f264,definition,
( sQ37_spl
<=> c3_2(a262,a263) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( sQ37_spl
| ~ c3_2(a262,a263) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( ~ sQ20_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f48,f264,f192]) ).
fof(f268,definition,
( sQ38_spl
<=> c5_1(a262) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( sQ38_spl
| ~ c5_1(a262) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( ~ sQ20_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f49,f268,f192]) ).
fof(f272,plain,
( sQ7_spl
| sQ12_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f121,f160,f141]) ).
fof(f273,definition,
( sQ39_spl
<=> c2_1(a264) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( sQ39_spl
| ~ c2_1(a264) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,plain,
( sQ7_spl
| sQ12_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f51,f273,f160,f141]) ).
fof(f277,definition,
( sQ40_spl
<=> c5_1(a264) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( sQ40_spl
| ~ c5_1(a264) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,plain,
( sQ7_spl
| sQ12_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f52,f277,f160,f141]) ).
fof(f281,definition,
( sQ41_spl
<=> c4_1(a264) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ41_spl
| c4_1(a264) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( sQ7_spl
| sQ12_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f53,f281,f160,f141]) ).
fof(f285,plain,
( sQ2_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f54,f141,f164,f121]) ).
fof(f286,definition,
( sQ42_spl
<=> ndr1_1(a265) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( sQ42_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f55,f141,f164,f286]) ).
fof(f290,definition,
( sQ43_spl
<=> c1_2(a265,a266) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( sQ43_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f56,f141,f164,f290]) ).
fof(f294,definition,
( sQ44_spl
<=> c5_2(a265,a266) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( sQ44_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f57,f141,f164,f294]) ).
fof(f298,definition,
! [X0] :
( sQ45_spl
<=> ( c3_2(a265,X0)
| ~ c2_2(a265,X0)
| c4_2(a265,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( sQ45_spl
| ~ sQ42_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f58,f141,f164,f286,f298]) ).
fof(f302,plain,
( sQ2_spl
| ~ sQ20_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f59,f160,f192,f121]) ).
fof(f303,definition,
( sQ46_spl
<=> c5_1(a267) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( sQ46_spl
| ~ sQ20_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f60,f160,f192,f303]) ).
fof(f307,definition,
( sQ47_spl
<=> ndr1_1(a267) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( sQ47_spl
| ~ sQ20_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f61,f160,f192,f307]) ).
fof(f311,definition,
( sQ48_spl
<=> c1_2(a267,a268) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( sQ48_spl
| ~ sQ20_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f62,f160,f192,f311]) ).
fof(f315,definition,
( sQ49_spl
<=> c4_2(a267,a268) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ49_spl
| ~ sQ20_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f63,f160,f192,f315]) ).
fof(f319,definition,
( sQ50_spl
<=> c3_2(a267,a268) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( sQ50_spl
| ~ sQ20_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f64,f160,f192,f319]) ).
fof(f323,definition,
! [X0] :
( sQ51_spl
<=> ( ~ c4_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( sQ51_spl
| ~ sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f65,f141,f121,f323]) ).
fof(f327,definition,
! [X0] :
( sQ52_spl
<=> ( c4_1(X0)
| sP2_prd(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f328,plain,
! [X0] :
( ~ sQ52_spl
| c4_1(X0)
| sP2_prd(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
! [X1] :
( sQ53_spl
<=> ( ~ c3_1(X1)
| c2_1(X1)
| ~ c5_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f331,plain,
! [X0] :
( ~ sQ53_spl
| ~ c3_1(X0)
| c2_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f334,definition,
( sQ54_spl
<=> c4_1(a270) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( sQ53_spl
| sQ54_spl
| sQ52_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f67,f121,f327,f334,f330]) ).
fof(f338,definition,
( sQ55_spl
<=> c5_1(a270) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( sQ53_spl
| ~ sQ55_spl
| sQ52_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f68,f121,f327,f338,f330]) ).
fof(f342,definition,
( sQ56_spl
<=> ndr1_1(a270) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( sQ53_spl
| sQ56_spl
| sQ52_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f69,f121,f327,f342,f330]) ).
fof(f346,definition,
( sQ57_spl
<=> c3_2(a270,a271) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( sQ53_spl
| sQ57_spl
| sQ52_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f70,f121,f327,f346,f330]) ).
fof(f350,definition,
( sQ58_spl
<=> c5_2(a270,a271) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( sQ53_spl
| sQ58_spl
| sQ52_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f71,f121,f327,f350,f330]) ).
fof(f354,definition,
( sQ59_spl
<=> c2_2(a270,a271) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( sQ53_spl
| ~ sQ59_spl
| sQ52_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f72,f121,f327,f354,f330]) ).
fof(f358,definition,
! [X0,X1] :
( sQ60_spl
<=> ( ndr1_1(X0)
| sP3_prd(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( sQ60_spl
| ~ sQ2_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f73,f141,f121,f358]) ).
fof(f362,definition,
! [X0,X1] :
( sQ61_spl
<=> ( c2_2(X0,a273)
| sP3_prd(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f363,plain,
! [X0,X1] :
( ~ sQ61_spl
| c2_2(X0,a273)
| sP3_prd(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ61_spl
| ~ sQ2_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f74,f141,f121,f362]) ).
fof(f366,definition,
! [X0,X1] :
( sQ62_spl
<=> ( ~ c5_2(X0,a273)
| sP3_prd(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f367,plain,
! [X0,X1] :
( ~ sQ62_spl
| ~ c5_2(X0,a273)
| sP3_prd(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( sQ62_spl
| ~ sQ2_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f75,f141,f121,f366]) ).
fof(f370,plain,
( sQ0_spl
| sQ12_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f76,f164,f160,f115]) ).
fof(f372,definition,
( sQ63_spl
<=> c5_1(a274) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ12_spl
| ~ sQ20_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f78,f372,f192,f160]) ).
fof(f376,definition,
( sQ64_spl
<=> c1_1(a274) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( ~ sQ12_spl
| ~ sQ20_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f79,f376,f192,f160]) ).
fof(f380,definition,
( sQ65_spl
<=> c4_1(a274) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ12_spl
| ~ sQ20_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f80,f380,f192,f160]) ).
fof(f384,definition,
! [X0] :
( sQ66_spl
<=> ( c3_1(X0)
| c4_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f385,plain,
! [X0] :
( ~ sQ66_spl
| c3_1(X0)
| c4_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f388,definition,
( sQ67_spl
<=> ndr1_1(a275) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f391,definition,
! [X0] :
( sQ68_spl
<=> ( c2_2(a275,X0)
| c1_2(a275,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( sQ66_spl
| ~ sQ2_spl
| sQ68_spl
| ~ sQ67_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f82,f164,f388,f391,f121,f384]) ).
fof(f395,plain,
( sQ66_spl
| ~ sQ2_spl
| sQ67_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f83,f164,f388,f121,f384]) ).
fof(f396,definition,
( sQ69_spl
<=> c1_2(a275,a276) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( sQ66_spl
| ~ sQ2_spl
| sQ69_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f84,f164,f396,f121,f384]) ).
fof(f400,definition,
( sQ70_spl
<=> c4_2(a275,a276) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( sQ66_spl
| ~ sQ2_spl
| sQ70_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f85,f164,f400,f121,f384]) ).
fof(f404,definition,
( sQ71_spl
<=> c5_2(a275,a276) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( sQ66_spl
| ~ sQ2_spl
| ~ sQ71_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f86,f164,f404,f121,f384]) ).
fof(f408,definition,
! [X0] :
( sQ72_spl
<=> ( c4_1(X0)
| c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( ~ sQ7_spl
| sQ72_spl
| ~ sQ2_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f87,f192,f121,f408,f141]) ).
fof(f412,plain,
( sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f91,f118,f121]) ).
fof(f413,definition,
( sQ73_spl
<=> ndr1_1(a251) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f416,definition,
! [X0] :
( sQ74_spl
<=> ( c4_2(a251,X0)
| c2_2(a251,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( sQ74_spl
| ~ sQ73_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f92,f118,f413,f416]) ).
fof(f420,definition,
( sQ75_spl
<=> c5_1(a251) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( sQ75_spl
| ~ c5_1(a251) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( sQ75_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f93,f118,f420]) ).
fof(f424,plain,
( ~ sQ75_spl
| sQ73_spl
| ~ sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f94,f118,f121,f413,f420]) ).
fof(f425,definition,
( sQ76_spl
<=> c2_2(a251,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ75_spl
| ~ sQ76_spl
| ~ sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f95,f118,f121,f425,f420]) ).
fof(f429,definition,
( sQ77_spl
<=> c4_2(a251,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ75_spl
| ~ sQ77_spl
| ~ sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f96,f118,f121,f429,f420]) ).
fof(f433,plain,
( ~ sQ34_spl
| c2_2(a262,a272)
| c1_2(a262,a272)
| sP3_prd(a262) ),
inference(resolution,[status(thm)],[f253,f114]) ).
fof(f434,definition,
( sQ78_spl
<=> sP3_prd(a262) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ78_spl
| sP3_prd(a262) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ79_spl
<=> c1_2(a262,a272) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f440,definition,
( sQ80_spl
<=> c2_2(a262,a272) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ80_spl
| c2_2(a262,a272) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( ~ sQ34_spl
| sQ80_spl
| sQ79_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f433,f434,f437,f440,f252]) ).
fof(f444,plain,
( ~ sQ25_spl
| c3_2(a258,a272)
| ~ sP3_prd(a258) ),
inference(resolution,[status(thm)],[f112,f214]) ).
fof(f445,definition,
( sQ81_spl
<=> sP3_prd(a258) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( sQ81_spl
| ~ sP3_prd(a258) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ82_spl
<=> c3_2(a258,a272) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ82_spl
| c3_2(a258,a272) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( ~ sQ25_spl
| sQ82_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f444,f445,f448,f213]) ).
fof(f452,plain,
( ~ sQ22_spl
| c2_2(a258,a272)
| c1_2(a258,a272)
| sP3_prd(a258) ),
inference(resolution,[status(thm)],[f202,f114]) ).
fof(f453,definition,
( sQ83_spl
<=> c1_2(a258,a272) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ83_spl
| c1_2(a258,a272) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,definition,
( sQ84_spl
<=> c2_2(a258,a272) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ84_spl
| c2_2(a258,a272) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( ~ sQ22_spl
| sQ84_spl
| sQ83_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f452,f445,f453,f456,f201]) ).
fof(f460,plain,
( ~ sQ62_spl
| ~ sQ35_spl
| ~ c5_2(a262,a273)
| sP3_prd(a262)
| ~ c3_2(a262,a263)
| c1_2(a262,a263)
| ~ ndr1_1(a262) ),
inference(resolution,[status(thm)],[f257,f367]) ).
fof(f461,plain,
( ~ sQ61_spl
| ~ sQ35_spl
| c2_2(a262,a273)
| sP3_prd(a262)
| ~ c3_2(a262,a263)
| c1_2(a262,a263)
| ~ ndr1_1(a262) ),
inference(resolution,[status(thm)],[f257,f363]) ).
fof(f462,definition,
( sQ85_spl
<=> c1_2(a262,a263) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ85_spl
| c1_2(a262,a263) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ86_spl
<=> c5_2(a262,a273) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( sQ86_spl
| ~ c5_2(a262,a273) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( ~ sQ62_spl
| ~ sQ35_spl
| ~ sQ86_spl
| sQ78_spl
| ~ sQ37_spl
| sQ85_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f460,f252,f462,f264,f434,f465,f256,f366]) ).
fof(f469,definition,
( sQ87_spl
<=> c2_2(a262,a273) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ87_spl
| c2_2(a262,a273) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( ~ sQ61_spl
| ~ sQ35_spl
| sQ87_spl
| sQ78_spl
| ~ sQ37_spl
| sQ85_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f461,f252,f462,f264,f434,f469,f256,f362]) ).
fof(f473,plain,
( ~ sQ78_spl
| ndr1_1(a262) ),
inference(resolution,[status(thm)],[f435,f111]) ).
fof(f474,plain,
( ~ sQ84_spl
| ~ sP3_prd(a258) ),
inference(resolution,[status(thm)],[f457,f113]) ).
fof(f475,plain,
( ~ sQ62_spl
| ~ sQ84_spl
| ~ c5_2(a258,a273)
| sP3_prd(a258)
| ~ c3_2(a258,a272)
| c1_2(a258,a272)
| ~ ndr1_1(a258) ),
inference(resolution,[status(thm)],[f457,f367]) ).
fof(f476,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| c2_2(a258,a273)
| sP3_prd(a258)
| ~ c3_2(a258,a272)
| c1_2(a258,a272)
| ~ ndr1_1(a258) ),
inference(resolution,[status(thm)],[f457,f363]) ).
fof(f477,definition,
( sQ88_spl
<=> c5_2(a258,a273) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ62_spl
| ~ sQ84_spl
| ~ sQ88_spl
| sQ81_spl
| ~ sQ82_spl
| sQ83_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f475,f201,f453,f448,f445,f477,f456,f366]) ).
fof(f481,definition,
( sQ89_spl
<=> c2_2(a258,a273) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ61_spl
| ~ sQ84_spl
| sQ89_spl
| sQ81_spl
| ~ sQ82_spl
| sQ83_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f476,f201,f453,f448,f445,f481,f456,f362]) ).
fof(f485,plain,
( ~ sQ83_spl
| ~ sP3_prd(a258) ),
inference(resolution,[status(thm)],[f454,f112]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| sQ2_spl
| sQ7_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sQ20_spl
| sQ22_spl
| sQ23_spl
| sQ24_spl
| sQ25_spl
| ~ sQ26_spl
| sQ33_spl
| sQ34_spl
| sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ sQ39_spl
| ~ sQ40_spl
| sQ41_spl
| sQ52_spl
| sQ53_spl
| sQ60_spl
| sQ61_spl
| sQ62_spl
| sQ66_spl
| ~ sQ75_spl
| sQ78_spl
| ~ sQ81_spl
| sQ83_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN527+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n005.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 11:05:48 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.48 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.15/0.48 % SZS output start Saturation for theBenchmark
% See solution above
% 0.15/0.51 % Elapsed time: 0.077582 seconds
% 0.15/0.51 % CPU time: 0.092868 seconds
% 0.15/0.51 % Total memory used: 3.975 MB
% 0.15/0.51 % Net memory used: 3.968 MB
%------------------------------------------------------------------------------