%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO179^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 : Wed Sep 30 08:49:06 AM UTC 2026
% Result : Theorem 0.36s 0.31s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 31
% Syntax : Number of formulae : 382 ( 16 unt; 0 typ; 30 def)
% Number of atoms : 2985 ( 450 equ; 0 cnn)
% Maximal formula atoms : 96 ( 7 avg)
% Number of connectives : 2769 ( 874 ~; 769 |; 104 &; 988 @)
% ( 30 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 42 ( 39 usr; 38 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 72 !; 24 ?; 96 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cG: $i > $i > $o ).
thf(func_def_1,type,
cR: $i > $i > $o ).
thf(f1,conjecture,
( ( ( ( cG @ cE @ cF )
| ( cR @ cE @ cF ) )
& ( ( cG @ cD @ cF )
| ( cR @ cD @ cF ) )
& ( ( cG @ cD @ cE )
| ( cR @ cD @ cE ) )
& ( ( cG @ cC @ cF )
| ( cR @ cC @ cF ) )
& ( ( cG @ cC @ cE )
| ( cR @ cC @ cE ) )
& ( ( cG @ cC @ cD )
| ( cR @ cC @ cD ) )
& ( ( cG @ cB @ cF )
| ( cR @ cB @ cF ) )
& ( ( cG @ cB @ cE )
| ( cR @ cB @ cE ) )
& ( ( cG @ cB @ cD )
| ( cR @ cB @ cD ) )
& ( ( cG @ cB @ cC )
| ( cR @ cB @ cC ) )
& ( ( cG @ cA @ cF )
| ( cR @ cA @ cF ) )
& ( ( cG @ cA @ cE )
| ( cR @ cA @ cE ) )
& ( ( cG @ cA @ cD )
| ( cR @ cA @ cD ) )
& ( ( cG @ cA @ cC )
| ( cR @ cA @ cC ) )
& ( ( cG @ cA @ cB )
| ( cR @ cA @ cB ) ) )
=> ( ? [X0: $i,X1: $i,X2: $i] :
( ( cG @ X1 @ X2 )
& ( cG @ X0 @ X2 )
& ( cG @ X0 @ X1 ) )
| ? [X0: $i,X1: $i,X2: $i] :
( ( cR @ X1 @ X2 )
& ( cR @ X0 @ X2 )
& ( cR @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSIX_THEOREM_B) ).
thf(f2,negated_conjecture,
~ ( ( ( ( cG @ cE @ cF )
| ( cR @ cE @ cF ) )
& ( ( cG @ cD @ cF )
| ( cR @ cD @ cF ) )
& ( ( cG @ cD @ cE )
| ( cR @ cD @ cE ) )
& ( ( cG @ cC @ cF )
| ( cR @ cC @ cF ) )
& ( ( cG @ cC @ cE )
| ( cR @ cC @ cE ) )
& ( ( cG @ cC @ cD )
| ( cR @ cC @ cD ) )
& ( ( cG @ cB @ cF )
| ( cR @ cB @ cF ) )
& ( ( cG @ cB @ cE )
| ( cR @ cB @ cE ) )
& ( ( cG @ cB @ cD )
| ( cR @ cB @ cD ) )
& ( ( cG @ cB @ cC )
| ( cR @ cB @ cC ) )
& ( ( cG @ cA @ cF )
| ( cR @ cA @ cF ) )
& ( ( cG @ cA @ cE )
| ( cR @ cA @ cE ) )
& ( ( cG @ cA @ cD )
| ( cR @ cA @ cD ) )
& ( ( cG @ cA @ cC )
| ( cR @ cA @ cC ) )
& ( ( cG @ cA @ cB )
| ( cR @ cA @ cB ) ) )
=> ( ? [X0: $i,X1: $i,X2: $i] :
( ( cG @ X1 @ X2 )
& ( cG @ X0 @ X2 )
& ( cG @ X0 @ X1 ) )
| ? [X0: $i,X1: $i,X2: $i] :
( ( cR @ X1 @ X2 )
& ( cR @ X0 @ X2 )
& ( cR @ X0 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ( ( cG @ cE @ cF )
| ( cR @ cE @ cF ) )
& ( ( cG @ cD @ cF )
| ( cR @ cD @ cF ) )
& ( ( cG @ cD @ cE )
| ( cR @ cD @ cE ) )
& ( ( cG @ cC @ cF )
| ( cR @ cC @ cF ) )
& ( ( cG @ cC @ cE )
| ( cR @ cC @ cE ) )
& ( ( cG @ cC @ cD )
| ( cR @ cC @ cD ) )
& ( ( cG @ cB @ cF )
| ( cR @ cB @ cF ) )
& ( ( cG @ cB @ cE )
| ( cR @ cB @ cE ) )
& ( ( cG @ cB @ cD )
| ( cR @ cB @ cD ) )
& ( ( cG @ cB @ cC )
| ( cR @ cB @ cC ) )
& ( ( cG @ cA @ cF )
| ( cR @ cA @ cF ) )
& ( ( cG @ cA @ cE )
| ( cR @ cA @ cE ) )
& ( ( cG @ cA @ cD )
| ( cR @ cA @ cD ) )
& ( ( cG @ cA @ cC )
| ( cR @ cA @ cC ) )
& ( ( cG @ cA @ cB )
| ( cR @ cA @ cB ) ) )
=> ( ? [X0: $i,X1: $i,X2: $i] :
( ( cG @ X1 @ X2 )
& ( cG @ X0 @ X2 )
& ( cG @ X0 @ X1 ) )
| ? [X3: $i,X4: $i,X5: $i] :
( ( cR @ X4 @ X5 )
& ( cR @ X3 @ X5 )
& ( cR @ X3 @ X4 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( ( ( cG @ cE @ cF )
= $true )
| ( ( cR @ cE @ cF )
= $true ) )
& ( ( ( cG @ cD @ cF )
= $true )
| ( ( cR @ cD @ cF )
= $true ) )
& ( ( ( cG @ cD @ cE )
= $true )
| ( ( cR @ cD @ cE )
= $true ) )
& ( ( ( cG @ cC @ cF )
= $true )
| ( ( cR @ cC @ cF )
= $true ) )
& ( ( ( cG @ cC @ cE )
= $true )
| ( ( cR @ cC @ cE )
= $true ) )
& ( ( ( cG @ cC @ cD )
= $true )
| ( ( cR @ cC @ cD )
= $true ) )
& ( ( ( cG @ cB @ cF )
= $true )
| ( ( cR @ cB @ cF )
= $true ) )
& ( ( ( cG @ cB @ cE )
= $true )
| ( ( cR @ cB @ cE )
= $true ) )
& ( ( ( cG @ cB @ cD )
= $true )
| ( ( cR @ cB @ cD )
= $true ) )
& ( ( ( cG @ cB @ cC )
= $true )
| ( ( cR @ cB @ cC )
= $true ) )
& ( ( ( cG @ cA @ cF )
= $true )
| ( ( cR @ cA @ cF )
= $true ) )
& ( ( ( cG @ cA @ cE )
= $true )
| ( ( cR @ cA @ cE )
= $true ) )
& ( ( ( cG @ cA @ cD )
= $true )
| ( ( cR @ cA @ cD )
= $true ) )
& ( ( ( cG @ cA @ cC )
= $true )
| ( ( cR @ cA @ cC )
= $true ) )
& ( ( ( cG @ cA @ cB )
= $true )
| ( ( cR @ cA @ cB )
= $true ) ) )
=> ( ? [X0: $i,X1: $i,X2: $i] :
( ( ( cG @ X1 @ X2 )
= $true )
& ( ( cG @ X0 @ X2 )
= $true )
& ( ( cG @ X0 @ X1 )
= $true ) )
| ? [X3: $i,X4: $i,X5: $i] :
( ( ( cR @ X4 @ X5 )
= $true )
& ( ( cR @ X3 @ X5 )
= $true )
& ( ( cR @ X3 @ X4 )
= $true ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( cG @ X1 @ X2 )
!= $true )
| ( ( cG @ X0 @ X2 )
!= $true )
| ( ( cG @ X0 @ X1 )
!= $true ) )
& ! [X3: $i,X4: $i,X5: $i] :
( ( ( cR @ X4 @ X5 )
!= $true )
| ( ( cR @ X3 @ X5 )
!= $true )
| ( ( cR @ X3 @ X4 )
!= $true ) )
& ( ( ( cG @ cE @ cF )
= $true )
| ( ( cR @ cE @ cF )
= $true ) )
& ( ( ( cG @ cD @ cF )
= $true )
| ( ( cR @ cD @ cF )
= $true ) )
& ( ( ( cG @ cD @ cE )
= $true )
| ( ( cR @ cD @ cE )
= $true ) )
& ( ( ( cG @ cC @ cF )
= $true )
| ( ( cR @ cC @ cF )
= $true ) )
& ( ( ( cG @ cC @ cE )
= $true )
| ( ( cR @ cC @ cE )
= $true ) )
& ( ( ( cG @ cC @ cD )
= $true )
| ( ( cR @ cC @ cD )
= $true ) )
& ( ( ( cG @ cB @ cF )
= $true )
| ( ( cR @ cB @ cF )
= $true ) )
& ( ( ( cG @ cB @ cE )
= $true )
| ( ( cR @ cB @ cE )
= $true ) )
& ( ( ( cG @ cB @ cD )
= $true )
| ( ( cR @ cB @ cD )
= $true ) )
& ( ( ( cG @ cB @ cC )
= $true )
| ( ( cR @ cB @ cC )
= $true ) )
& ( ( ( cG @ cA @ cF )
= $true )
| ( ( cR @ cA @ cF )
= $true ) )
& ( ( ( cG @ cA @ cE )
= $true )
| ( ( cR @ cA @ cE )
= $true ) )
& ( ( ( cG @ cA @ cD )
= $true )
| ( ( cR @ cA @ cD )
= $true ) )
& ( ( ( cG @ cA @ cC )
= $true )
| ( ( cR @ cA @ cC )
= $true ) )
& ( ( ( cG @ cA @ cB )
= $true )
| ( ( cR @ cA @ cB )
= $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( cG @ X1 @ X2 )
!= $true )
| ( ( cG @ X0 @ X2 )
!= $true )
| ( ( cG @ X0 @ X1 )
!= $true ) )
& ! [X3: $i,X4: $i,X5: $i] :
( ( ( cR @ X4 @ X5 )
!= $true )
| ( ( cR @ X3 @ X5 )
!= $true )
| ( ( cR @ X3 @ X4 )
!= $true ) )
& ( ( ( cG @ cE @ cF )
= $true )
| ( ( cR @ cE @ cF )
= $true ) )
& ( ( ( cG @ cD @ cF )
= $true )
| ( ( cR @ cD @ cF )
= $true ) )
& ( ( ( cG @ cD @ cE )
= $true )
| ( ( cR @ cD @ cE )
= $true ) )
& ( ( ( cG @ cC @ cF )
= $true )
| ( ( cR @ cC @ cF )
= $true ) )
& ( ( ( cG @ cC @ cE )
= $true )
| ( ( cR @ cC @ cE )
= $true ) )
& ( ( ( cG @ cC @ cD )
= $true )
| ( ( cR @ cC @ cD )
= $true ) )
& ( ( ( cG @ cB @ cF )
= $true )
| ( ( cR @ cB @ cF )
= $true ) )
& ( ( ( cG @ cB @ cE )
= $true )
| ( ( cR @ cB @ cE )
= $true ) )
& ( ( ( cG @ cB @ cD )
= $true )
| ( ( cR @ cB @ cD )
= $true ) )
& ( ( ( cG @ cB @ cC )
= $true )
| ( ( cR @ cB @ cC )
= $true ) )
& ( ( ( cG @ cA @ cF )
= $true )
| ( ( cR @ cA @ cF )
= $true ) )
& ( ( ( cG @ cA @ cE )
= $true )
| ( ( cR @ cA @ cE )
= $true ) )
& ( ( ( cG @ cA @ cD )
= $true )
| ( ( cR @ cA @ cD )
= $true ) )
& ( ( ( cG @ cA @ cC )
= $true )
| ( ( cR @ cA @ cC )
= $true ) )
& ( ( ( cG @ cA @ cB )
= $true )
| ( ( cR @ cA @ cB )
= $true ) ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
( ( ( cG @ cA @ cB )
= $true )
| ( ( cR @ cA @ cB )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( ( ( cG @ cA @ cC )
= $true )
| ( ( cR @ cA @ cC )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( ( ( cG @ cA @ cD )
= $true )
| ( ( cR @ cA @ cD )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f10,plain,
( ( ( cG @ cA @ cE )
= $true )
| ( ( cR @ cA @ cE )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f11,plain,
( ( ( cG @ cA @ cF )
= $true )
| ( ( cR @ cA @ cF )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f12,plain,
( ( ( cG @ cB @ cC )
= $true )
| ( ( cR @ cB @ cC )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f13,plain,
( ( ( cG @ cB @ cD )
= $true )
| ( ( cR @ cB @ cD )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f14,plain,
( ( ( cG @ cB @ cE )
= $true )
| ( ( cR @ cB @ cE )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f15,plain,
( ( ( cG @ cB @ cF )
= $true )
| ( ( cR @ cB @ cF )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f16,plain,
( ( ( cG @ cC @ cD )
= $true )
| ( ( cR @ cC @ cD )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f17,plain,
( ( ( cG @ cC @ cE )
= $true )
| ( ( cR @ cC @ cE )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f18,plain,
( ( ( cG @ cC @ cF )
= $true )
| ( ( cR @ cC @ cF )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f19,plain,
( ( ( cG @ cD @ cE )
= $true )
| ( ( cR @ cD @ cE )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f20,plain,
( ( ( cG @ cD @ cF )
= $true )
| ( ( cR @ cD @ cF )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f21,plain,
( ( ( cG @ cE @ cF )
= $true )
| ( ( cR @ cE @ cF )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f22,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( cR @ X4 @ X5 )
!= $true )
| ( ( cR @ X3 @ X5 )
!= $true )
| ( ( cR @ X3 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f23,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( cG @ X1 @ X2 )
!= $true )
| ( ( cG @ X0 @ X2 )
!= $true )
| ( ( cG @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f27,definition,
( spl0_1
<=> ( ( cR @ cA @ cB )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f29,plain,
( ( ( cR @ cA @ cB )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
thf(f31,definition,
( spl0_2
<=> ( ( cG @ cA @ cB )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f33,plain,
( ( ( cG @ cA @ cB )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
thf(f34,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f31,f27]) ).
thf(f36,definition,
( spl0_3
<=> ( ( cR @ cA @ cC )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f38,plain,
( ( ( cR @ cA @ cC )
= $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
thf(f40,definition,
( spl0_4
<=> ( ( cG @ cA @ cC )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f42,plain,
( ( ( cG @ cA @ cC )
= $true )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f40]) ).
thf(f43,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f8,f40,f36]) ).
thf(f45,definition,
( spl0_5
<=> ( ( cR @ cA @ cD )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f47,plain,
( ( ( cR @ cA @ cD )
= $true )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f49,definition,
( spl0_6
<=> ( ( cG @ cA @ cD )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f51,plain,
( ( ( cG @ cA @ cD )
= $true )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f49]) ).
thf(f52,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f49,f45]) ).
thf(f54,definition,
( spl0_7
<=> ( ( cR @ cA @ cE )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f56,plain,
( ( ( cR @ cA @ cE )
= $true )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f54]) ).
thf(f58,definition,
( spl0_8
<=> ( ( cG @ cA @ cE )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f60,plain,
( ( ( cG @ cA @ cE )
= $true )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f58]) ).
thf(f61,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f58,f54]) ).
thf(f63,definition,
( spl0_9
<=> ( ( cR @ cA @ cF )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f65,plain,
( ( ( cR @ cA @ cF )
= $true )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f63]) ).
thf(f67,definition,
( spl0_10
<=> ( ( cG @ cA @ cF )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f69,plain,
( ( ( cG @ cA @ cF )
= $true )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f70,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f67,f63]) ).
thf(f72,definition,
( spl0_11
<=> ( ( cR @ cB @ cC )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f74,plain,
( ( ( cR @ cB @ cC )
= $true )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f76,definition,
( spl0_12
<=> ( ( cG @ cB @ cC )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f78,plain,
( ( ( cG @ cB @ cC )
= $true )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f76]) ).
thf(f79,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f12,f76,f72]) ).
thf(f81,definition,
( spl0_13
<=> ( ( cR @ cB @ cD )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f83,plain,
( ( ( cR @ cB @ cD )
= $true )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f81]) ).
thf(f85,definition,
( spl0_14
<=> ( ( cG @ cB @ cD )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f87,plain,
( ( ( cG @ cB @ cD )
= $true )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f85]) ).
thf(f88,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f13,f85,f81]) ).
thf(f90,definition,
( spl0_15
<=> ( ( cR @ cB @ cE )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f92,plain,
( ( ( cR @ cB @ cE )
= $true )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f90]) ).
thf(f94,definition,
( spl0_16
<=> ( ( cG @ cB @ cE )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f96,plain,
( ( ( cG @ cB @ cE )
= $true )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f94]) ).
thf(f97,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f14,f94,f90]) ).
thf(f99,definition,
( spl0_17
<=> ( ( cR @ cB @ cF )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f101,plain,
( ( ( cR @ cB @ cF )
= $true )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f103,definition,
( spl0_18
<=> ( ( cG @ cB @ cF )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f105,plain,
( ( ( cG @ cB @ cF )
= $true )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f103]) ).
thf(f106,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f15,f103,f99]) ).
thf(f108,definition,
( spl0_19
<=> ( ( cR @ cC @ cD )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f110,plain,
( ( ( cR @ cC @ cD )
= $true )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f108]) ).
thf(f112,definition,
( spl0_20
<=> ( ( cG @ cC @ cD )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f114,plain,
( ( ( cG @ cC @ cD )
= $true )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f115,plain,
( spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f16,f112,f108]) ).
thf(f117,definition,
( spl0_21
<=> ( ( cR @ cC @ cE )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f119,plain,
( ( ( cR @ cC @ cE )
= $true )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f117]) ).
thf(f121,definition,
( spl0_22
<=> ( ( cG @ cC @ cE )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f123,plain,
( ( ( cG @ cC @ cE )
= $true )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f121]) ).
thf(f124,plain,
( spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f17,f121,f117]) ).
thf(f126,definition,
( spl0_23
<=> ( ( cR @ cC @ cF )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f128,plain,
( ( ( cR @ cC @ cF )
= $true )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f126]) ).
thf(f130,definition,
( spl0_24
<=> ( ( cG @ cC @ cF )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f132,plain,
( ( ( cG @ cC @ cF )
= $true )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f133,plain,
( spl0_23
| spl0_24 ),
inference(avatar_split_clause,[],[f18,f130,f126]) ).
thf(f135,definition,
( spl0_25
<=> ( ( cR @ cD @ cE )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f137,plain,
( ( ( cR @ cD @ cE )
= $true )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f135]) ).
thf(f139,definition,
( spl0_26
<=> ( ( cG @ cD @ cE )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f141,plain,
( ( ( cG @ cD @ cE )
= $true )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f139]) ).
thf(f142,plain,
( spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f19,f139,f135]) ).
thf(f144,definition,
( spl0_27
<=> ( ( cR @ cD @ cF )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f146,plain,
( ( ( cR @ cD @ cF )
= $true )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f144]) ).
thf(f148,definition,
( spl0_28
<=> ( ( cG @ cD @ cF )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f150,plain,
( ( ( cG @ cD @ cF )
= $true )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f148]) ).
thf(f151,plain,
( spl0_27
| spl0_28 ),
inference(avatar_split_clause,[],[f20,f148,f144]) ).
thf(f153,definition,
( spl0_29
<=> ( ( cR @ cE @ cF )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f155,plain,
( ( ( cR @ cE @ cF )
= $true )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f153]) ).
thf(f157,definition,
( spl0_30
<=> ( ( cG @ cE @ cF )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f159,plain,
( ( ( cG @ cE @ cF )
= $true )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f157]) ).
thf(f160,plain,
( spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f21,f157,f153]) ).
thf(f161,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cF ) )
| ( $true
!= ( cR @ X0 @ cE ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f22,f155]) ).
thf(f163,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cF ) )
| ( $true
!= ( cR @ X0 @ cD ) ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f22,f146]) ).
thf(f164,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cD ) )
| ( $true
!= ( cR @ X0 @ cC ) ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f22,f110]) ).
thf(f165,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cE ) )
| ( $true
!= ( cR @ X0 @ cC ) ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f22,f119]) ).
thf(f166,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cF ) )
| ( $true
!= ( cR @ X0 @ cC ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f22,f128]) ).
thf(f168,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cE ) )
| ( $true
!= ( cR @ X0 @ cB ) ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f22,f92]) ).
thf(f181,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cB ) )
| ( $true
!= ( cR @ X0 @ cE ) ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f168]) ).
thf(f183,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cC ) )
| ( $true
!= ( cR @ X0 @ cF ) ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f166]) ).
thf(f184,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cC ) )
| ( $true
!= ( cR @ X0 @ cE ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f165]) ).
thf(f185,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cC ) )
| ( $true
!= ( cR @ X0 @ cD ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f186,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cD ) )
| ( $true
!= ( cR @ X0 @ cF ) ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f163]) ).
thf(f188,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cE ) )
| ( $true
!= ( cR @ X0 @ cF ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f161]) ).
thf(f218,plain,
( ( $true != $true )
| ( ( cR @ cB @ cF )
!= $true )
| ~ spl0_11
| ~ spl0_23 ),
inference(constrained_superposition,[],[f183,f74]) ).
thf(f219,plain,
( ( $true != $true )
| ( ( cR @ cA @ cF )
!= $true )
| ~ spl0_3
| ~ spl0_23 ),
inference(constrained_superposition,[],[f183,f38]) ).
thf(f222,plain,
( ( ( cR @ cA @ cF )
!= $true )
| ~ spl0_3
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f219]) ).
thf(f223,plain,
( ( ( cR @ cB @ cF )
!= $true )
| ~ spl0_11
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f218]) ).
thf(f224,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f222,f65]) ).
thf(f225,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f224]) ).
thf(f234,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cG @ X0 @ cC ) )
| ( $true
!= ( cG @ X0 @ cB ) ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f23,f78]) ).
thf(f235,plain,
( ! [X0: $i] :
( ( $true
!= ( cG @ X0 @ cB ) )
| ( $true
!= ( cG @ X0 @ cC ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f234]) ).
thf(f246,plain,
( ( $true != $true )
| ( ( cR @ cA @ cE )
!= $true )
| ~ spl0_3
| ~ spl0_21 ),
inference(constrained_superposition,[],[f184,f38]) ).
thf(f249,plain,
( ( ( cR @ cA @ cE )
!= $true )
| ~ spl0_3
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f246]) ).
thf(f250,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f249,f56]) ).
thf(f251,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f250]) ).
thf(f261,plain,
( ( $true != $true )
| ( ( cR @ cA @ cD )
!= $true )
| ~ spl0_3
| ~ spl0_19 ),
inference(constrained_superposition,[],[f185,f38]) ).
thf(f264,plain,
( ( ( cR @ cA @ cD )
!= $true )
| ~ spl0_3
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f261]) ).
thf(f265,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f264,f47]) ).
thf(f266,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f265]) ).
thf(f269,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cG @ X0 @ cD ) )
| ( $true
!= ( cG @ X0 @ cC ) ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f23,f114]) ).
thf(f270,plain,
( ! [X0: $i] :
( ( $true
!= ( cG @ X0 @ cC ) )
| ( $true
!= ( cG @ X0 @ cD ) ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f269]) ).
thf(f276,plain,
( ( $true != $true )
| ( ( cR @ cB @ cF )
!= $true )
| ~ spl0_13
| ~ spl0_27 ),
inference(constrained_superposition,[],[f186,f83]) ).
thf(f277,plain,
( ( $true != $true )
| ( ( cR @ cA @ cF )
!= $true )
| ~ spl0_5
| ~ spl0_27 ),
inference(constrained_superposition,[],[f186,f47]) ).
thf(f280,plain,
( ( ( cR @ cA @ cF )
!= $true )
| ~ spl0_5
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f277]) ).
thf(f281,plain,
( ( ( cR @ cB @ cF )
!= $true )
| ~ spl0_13
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f276]) ).
thf(f282,plain,
( $false
| ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f281,f101]) ).
thf(f283,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f282]) ).
thf(f286,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cG @ X0 @ cD ) )
| ( $true
!= ( cG @ X0 @ cB ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f23,f87]) ).
thf(f287,plain,
( ! [X0: $i] :
( ( $true
!= ( cG @ X0 @ cB ) )
| ( $true
!= ( cG @ X0 @ cD ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f286]) ).
thf(f299,plain,
( ( $true != $true )
| ( ( cR @ cD @ cF )
!= $true )
| ~ spl0_25
| ~ spl0_29 ),
inference(constrained_superposition,[],[f188,f137]) ).
thf(f300,plain,
( ( $true != $true )
| ( ( cR @ cC @ cF )
!= $true )
| ~ spl0_21
| ~ spl0_29 ),
inference(constrained_superposition,[],[f188,f119]) ).
thf(f301,plain,
( ( $true != $true )
| ( ( cR @ cB @ cF )
!= $true )
| ~ spl0_15
| ~ spl0_29 ),
inference(constrained_superposition,[],[f188,f92]) ).
thf(f305,plain,
( ( ( cR @ cB @ cF )
!= $true )
| ~ spl0_15
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f301]) ).
thf(f306,plain,
( ( ( cR @ cC @ cF )
!= $true )
| ~ spl0_21
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f300]) ).
thf(f307,plain,
( ( ( cR @ cD @ cF )
!= $true )
| ~ spl0_25
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f299]) ).
thf(f310,plain,
( $false
| ~ spl0_21
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f306,f128]) ).
thf(f311,plain,
( ~ spl0_21
| ~ spl0_23
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f310]) ).
thf(f312,plain,
( $false
| ~ spl0_25
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f307,f146]) ).
thf(f313,plain,
( ~ spl0_25
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f312]) ).
thf(f316,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cG @ X0 @ cF ) )
| ( $true
!= ( cG @ X0 @ cB ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f23,f105]) ).
thf(f317,plain,
( ! [X0: $i] :
( ( $true
!= ( cG @ X0 @ cB ) )
| ( $true
!= ( cG @ X0 @ cF ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f316]) ).
thf(f324,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cG @ X0 @ cE ) )
| ( $true
!= ( cG @ X0 @ cD ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f23,f141]) ).
thf(f325,plain,
( ! [X0: $i] :
( ( $true
!= ( cG @ X0 @ cD ) )
| ( $true
!= ( cG @ X0 @ cE ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f324]) ).
thf(f344,plain,
( ( $true != $true )
| ( ( cG @ cA @ cC )
!= $true )
| ~ spl0_2
| ~ spl0_12 ),
inference(constrained_superposition,[],[f235,f33]) ).
thf(f347,plain,
( ( ( cG @ cA @ cC )
!= $true )
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f344]) ).
thf(f348,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f347,f76,f31,f40]) ).
thf(f357,plain,
( ( $true != $true )
| ( ( cG @ cB @ cD )
!= $true )
| ~ spl0_12
| ~ spl0_20 ),
inference(constrained_superposition,[],[f270,f78]) ).
thf(f361,plain,
( ( ( cG @ cB @ cD )
!= $true )
| ~ spl0_12
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f357]) ).
thf(f362,plain,
( $false
| ~ spl0_12
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f361,f87]) ).
thf(f363,plain,
( ~ spl0_12
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f362]) ).
thf(f364,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cC ) )
| ( $true
!= ( cR @ X0 @ cB ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f22,f74]) ).
thf(f367,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cB ) )
| ( $true
!= ( cR @ X0 @ cC ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f364]) ).
thf(f375,plain,
( ( $true != $true )
| ( ( cG @ cA @ cD )
!= $true )
| ~ spl0_2
| ~ spl0_14 ),
inference(constrained_superposition,[],[f287,f33]) ).
thf(f378,plain,
( ( ( cG @ cA @ cD )
!= $true )
| ~ spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f375]) ).
thf(f379,plain,
( ~ spl0_6
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f378,f85,f31,f49]) ).
thf(f386,plain,
( ( $true != $true )
| ( ( cG @ cA @ cF )
!= $true )
| ~ spl0_2
| ~ spl0_18 ),
inference(constrained_superposition,[],[f317,f33]) ).
thf(f389,plain,
( ( ( cG @ cA @ cF )
!= $true )
| ~ spl0_2
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f386]) ).
thf(f390,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f389,f69]) ).
thf(f391,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f390]) ).
thf(f400,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cG @ X0 @ cF ) )
| ( $true
!= ( cG @ X0 @ cC ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f23,f132]) ).
thf(f401,plain,
( ! [X0: $i] :
( ( $true
!= ( cG @ X0 @ cC ) )
| ( $true
!= ( cG @ X0 @ cF ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f400]) ).
thf(f404,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cG @ X0 @ cF ) )
| ( $true
!= ( cG @ X0 @ cD ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f23,f150]) ).
thf(f405,plain,
( ! [X0: $i] :
( ( $true
!= ( cG @ X0 @ cD ) )
| ( $true
!= ( cG @ X0 @ cF ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f404]) ).
thf(f422,plain,
( ( $true != $true )
| ( ( cG @ cC @ cE )
!= $true )
| ~ spl0_20
| ~ spl0_26 ),
inference(constrained_superposition,[],[f325,f114]) ).
thf(f423,plain,
( ( $true != $true )
| ( ( cG @ cB @ cE )
!= $true )
| ~ spl0_14
| ~ spl0_26 ),
inference(constrained_superposition,[],[f325,f87]) ).
thf(f427,plain,
( ( ( cG @ cB @ cE )
!= $true )
| ~ spl0_14
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f423]) ).
thf(f428,plain,
( ( ( cG @ cC @ cE )
!= $true )
| ~ spl0_20
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f422]) ).
thf(f429,plain,
( ~ spl0_16
| ~ spl0_14
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f427,f139,f85,f94]) ).
thf(f430,plain,
( $false
| ~ spl0_20
| ~ spl0_22
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f428,f123]) ).
thf(f431,plain,
( ~ spl0_20
| ~ spl0_22
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f430]) ).
thf(f432,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cE ) )
| ( $true
!= ( cR @ X0 @ cD ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f22,f137]) ).
thf(f435,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cD ) )
| ( $true
!= ( cR @ X0 @ cE ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f432]) ).
thf(f450,plain,
( ( $true != $true )
| ( ( cG @ cC @ cF )
!= $true )
| ~ spl0_20
| ~ spl0_28 ),
inference(constrained_superposition,[],[f405,f114]) ).
thf(f451,plain,
( ( $true != $true )
| ( ( cG @ cB @ cF )
!= $true )
| ~ spl0_14
| ~ spl0_28 ),
inference(constrained_superposition,[],[f405,f87]) ).
thf(f455,plain,
( ( ( cG @ cB @ cF )
!= $true )
| ~ spl0_14
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f451]) ).
thf(f456,plain,
( ( ( cG @ cC @ cF )
!= $true )
| ~ spl0_20
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f450]) ).
thf(f457,plain,
( $false
| ~ spl0_14
| ~ spl0_18
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f455,f105]) ).
thf(f458,plain,
( ~ spl0_14
| ~ spl0_18
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f457]) ).
thf(f465,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cF ) )
| ( $true
!= ( cR @ X0 @ cB ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f22,f101]) ).
thf(f466,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cB ) )
| ( $true
!= ( cR @ X0 @ cF ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f465]) ).
thf(f469,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cF ) )
| ( $true
!= ( cR @ X0 @ cD ) ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f22,f146]) ).
thf(f470,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cD ) )
| ( $true
!= ( cR @ X0 @ cF ) ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f469]) ).
thf(f475,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cG @ X0 @ cF ) )
| ( $true
!= ( cG @ X0 @ cE ) ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f23,f159]) ).
thf(f476,plain,
( ! [X0: $i] :
( ( $true
!= ( cG @ X0 @ cE ) )
| ( $true
!= ( cG @ X0 @ cF ) ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f475]) ).
thf(f495,plain,
( ( $true != $true )
| ( ( cR @ cA @ cE )
!= $true )
| ~ spl0_5
| ~ spl0_25 ),
inference(constrained_superposition,[],[f435,f47]) ).
thf(f498,plain,
( ( ( cR @ cA @ cE )
!= $true )
| ~ spl0_5
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f495]) ).
thf(f510,plain,
( ( $true != $true )
| ( ( cG @ cC @ cF )
!= $true )
| ~ spl0_22
| ~ spl0_30 ),
inference(constrained_superposition,[],[f476,f123]) ).
thf(f511,plain,
( ( $true != $true )
| ( ( cG @ cA @ cF )
!= $true )
| ~ spl0_8
| ~ spl0_30 ),
inference(constrained_superposition,[],[f476,f60]) ).
thf(f514,plain,
( ( ( cG @ cA @ cF )
!= $true )
| ~ spl0_8
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f511]) ).
thf(f515,plain,
( ( ( cG @ cC @ cF )
!= $true )
| ~ spl0_22
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f510]) ).
thf(f516,plain,
( $false
| ~ spl0_8
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f514,f69]) ).
thf(f517,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f516]) ).
thf(f518,plain,
( $false
| ~ spl0_22
| ~ spl0_24
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f515,f132]) ).
thf(f519,plain,
( ~ spl0_22
| ~ spl0_24
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f518]) ).
thf(f521,plain,
( ( $true != $true )
| ( ( cR @ cA @ cF )
!= $true )
| ~ spl0_1
| ~ spl0_17 ),
inference(constrained_superposition,[],[f466,f29]) ).
thf(f522,plain,
( ( $true != $true )
| ( ( cR @ cA @ cC )
!= $true )
| ~ spl0_1
| ~ spl0_11 ),
inference(constrained_superposition,[],[f367,f29]) ).
thf(f523,plain,
( ( $true != $true )
| ( ( cR @ cA @ cE )
!= $true )
| ~ spl0_1
| ~ spl0_15 ),
inference(constrained_superposition,[],[f181,f29]) ).
thf(f524,plain,
( ( ( cR @ cA @ cE )
!= $true )
| ~ spl0_1
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f523]) ).
thf(f525,plain,
( ( ( cR @ cA @ cC )
!= $true )
| ~ spl0_1
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f522]) ).
thf(f526,plain,
( ( ( cR @ cA @ cF )
!= $true )
| ~ spl0_1
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f521]) ).
thf(f528,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f525,f38]) ).
thf(f529,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f528]) ).
thf(f532,plain,
( ~ spl0_9
| ~ spl0_5
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f280,f144,f45,f63]) ).
thf(f533,plain,
( ~ spl0_7
| ~ spl0_5
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f498,f135,f45,f54]) ).
thf(f543,plain,
( ( $true != $true )
| ( ( cG @ cA @ cF )
!= $true )
| ~ spl0_4
| ~ spl0_24 ),
inference(constrained_superposition,[],[f401,f42]) ).
thf(f544,plain,
( ( $true != $true )
| ( ( cG @ cA @ cD )
!= $true )
| ~ spl0_4
| ~ spl0_20 ),
inference(constrained_superposition,[],[f270,f42]) ).
thf(f545,plain,
( ( ( cG @ cA @ cD )
!= $true )
| ~ spl0_4
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f544]) ).
thf(f546,plain,
( ( ( cG @ cA @ cF )
!= $true )
| ~ spl0_4
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f543]) ).
thf(f548,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f546,f69]) ).
thf(f549,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f548]) ).
thf(f550,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f524,f56]) ).
thf(f551,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f550]) ).
thf(f577,plain,
( ( $true != $true )
| ( ( cG @ cB @ cF )
!= $true )
| ~ spl0_16
| ~ spl0_30 ),
inference(constrained_superposition,[],[f476,f96]) ).
thf(f578,plain,
( ( ( cG @ cB @ cF )
!= $true )
| ~ spl0_16
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f577]) ).
thf(f581,plain,
( ( $true != $true )
| ( ( cR @ cC @ cF )
!= $true )
| ~ spl0_19
| ~ spl0_27 ),
inference(constrained_superposition,[],[f470,f110]) ).
thf(f582,plain,
( ( ( cR @ cC @ cF )
!= $true )
| ~ spl0_19
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f581]) ).
thf(f586,plain,
( ~ spl0_17
| ~ spl0_11
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f223,f126,f72,f99]) ).
thf(f587,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f545,f51]) ).
thf(f588,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f587]) ).
thf(f589,plain,
( $false
| ~ spl0_16
| ~ spl0_18
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f578,f105]) ).
thf(f590,plain,
( ~ spl0_16
| ~ spl0_18
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f589]) ).
thf(f591,plain,
( ~ spl0_23
| ~ spl0_19
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f582,f144,f108,f126]) ).
thf(f612,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cD ) )
| ( $true
!= ( cR @ X0 @ cC ) ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f22,f110]) ).
thf(f615,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cC ) )
| ( $true
!= ( cR @ X0 @ cD ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f612]) ).
thf(f618,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cG @ X0 @ cE ) )
| ( $true
!= ( cG @ X0 @ cC ) ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f23,f123]) ).
thf(f619,plain,
( ! [X0: $i] :
( ( $true
!= ( cG @ X0 @ cC ) )
| ( $true
!= ( cG @ X0 @ cE ) ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f618]) ).
thf(f622,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cG @ X0 @ cF ) )
| ( $true
!= ( cG @ X0 @ cC ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f23,f132]) ).
thf(f623,plain,
( ! [X0: $i] :
( ( $true
!= ( cG @ X0 @ cC ) )
| ( $true
!= ( cG @ X0 @ cF ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f622]) ).
thf(f626,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cG @ X0 @ cE ) )
| ( $true
!= ( cG @ X0 @ cD ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f23,f141]) ).
thf(f627,plain,
( ! [X0: $i] :
( ( $true
!= ( cG @ X0 @ cD ) )
| ( $true
!= ( cG @ X0 @ cE ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f626]) ).
thf(f709,plain,
( ( $true != $true )
| ( ( cG @ cA @ cE )
!= $true )
| ~ spl0_4
| ~ spl0_22 ),
inference(constrained_superposition,[],[f619,f42]) ).
thf(f712,plain,
( ( ( cG @ cA @ cE )
!= $true )
| ~ spl0_4
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f709]) ).
thf(f713,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f712,f60]) ).
thf(f714,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f713]) ).
thf(f715,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cE ) )
| ( $true
!= ( cR @ X0 @ cC ) ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f22,f119]) ).
thf(f716,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cC ) )
| ( $true
!= ( cR @ X0 @ cE ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f715]) ).
thf(f730,plain,
( ( $true != $true )
| ( ( cG @ cA @ cE )
!= $true )
| ~ spl0_6
| ~ spl0_26 ),
inference(constrained_superposition,[],[f627,f51]) ).
thf(f733,plain,
( ( ( cG @ cA @ cE )
!= $true )
| ~ spl0_6
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f730]) ).
thf(f735,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f733,f60]) ).
thf(f736,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f735]) ).
thf(f744,plain,
( ( $true != $true )
| ( ( cG @ cB @ cF )
!= $true )
| ~ spl0_12
| ~ spl0_24 ),
inference(constrained_superposition,[],[f623,f78]) ).
thf(f745,plain,
( ( ( cG @ cB @ cF )
!= $true )
| ~ spl0_12
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f744]) ).
thf(f756,plain,
( ( $true != $true )
| ( ( cR @ cB @ cD )
!= $true )
| ~ spl0_11
| ~ spl0_19 ),
inference(constrained_superposition,[],[f615,f74]) ).
thf(f757,plain,
( ( ( cR @ cB @ cD )
!= $true )
| ~ spl0_11
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f756]) ).
thf(f787,plain,
( ( $true != $true )
| ( ( cR @ cB @ cE )
!= $true )
| ~ spl0_11
| ~ spl0_21 ),
inference(constrained_superposition,[],[f716,f74]) ).
thf(f791,plain,
( ( ( cR @ cB @ cE )
!= $true )
| ~ spl0_11
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f787]) ).
thf(f792,plain,
( $false
| ~ spl0_11
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f791,f92]) ).
thf(f793,plain,
( ~ spl0_11
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f792]) ).
thf(f796,plain,
( $false
| ~ spl0_11
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f757,f83]) ).
thf(f797,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f796]) ).
thf(f798,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f526,f99,f27,f63]) ).
thf(f799,plain,
( ~ spl0_18
| ~ spl0_12
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f745,f130,f76,f103]) ).
thf(f824,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cD ) )
| ( $true
!= ( cR @ X0 @ cB ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f22,f83]) ).
thf(f825,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cB ) )
| ( $true
!= ( cR @ X0 @ cD ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f824]) ).
thf(f838,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cG @ X0 @ cE ) )
| ( $true
!= ( cG @ X0 @ cC ) ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f23,f123]) ).
thf(f839,plain,
( ! [X0: $i] :
( ( $true
!= ( cG @ X0 @ cC ) )
| ( $true
!= ( cG @ X0 @ cE ) ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f838]) ).
thf(f846,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cG @ X0 @ cF ) )
| ( $true
!= ( cG @ X0 @ cD ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f23,f150]) ).
thf(f847,plain,
( ! [X0: $i] :
( ( $true
!= ( cG @ X0 @ cD ) )
| ( $true
!= ( cG @ X0 @ cF ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f846]) ).
thf(f913,plain,
( ( $true != $true )
| ( ( cR @ cA @ cD )
!= $true )
| ~ spl0_1
| ~ spl0_13 ),
inference(constrained_superposition,[],[f825,f29]) ).
thf(f916,plain,
( ( ( cR @ cA @ cD )
!= $true )
| ~ spl0_1
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f913]) ).
thf(f924,plain,
( ( $true != $true )
| ( ( cG @ cB @ cE )
!= $true )
| ~ spl0_12
| ~ spl0_22 ),
inference(constrained_superposition,[],[f839,f78]) ).
thf(f928,plain,
( ( ( cG @ cB @ cE )
!= $true )
| ~ spl0_12
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f924]) ).
thf(f929,plain,
( $false
| ~ spl0_12
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f928,f96]) ).
thf(f930,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f929]) ).
thf(f939,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( cR @ X0 @ cE ) )
| ( $true
!= ( cR @ X0 @ cD ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f22,f137]) ).
thf(f940,plain,
( ! [X0: $i] :
( ( $true
!= ( cR @ X0 @ cD ) )
| ( $true
!= ( cR @ X0 @ cE ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f939]) ).
thf(f957,plain,
( ( $true != $true )
| ( ( cG @ cA @ cF )
!= $true )
| ~ spl0_6
| ~ spl0_28 ),
inference(constrained_superposition,[],[f847,f51]) ).
thf(f960,plain,
( ( ( cG @ cA @ cF )
!= $true )
| ~ spl0_6
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f957]) ).
thf(f963,plain,
( ~ spl0_17
| ~ spl0_15
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f305,f153,f90,f99]) ).
thf(f964,plain,
( ~ spl0_24
| ~ spl0_20
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f456,f148,f112,f130]) ).
thf(f965,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f916,f47]) ).
thf(f966,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f965]) ).
thf(f967,plain,
( ~ spl0_10
| ~ spl0_6
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f960,f148,f49,f67]) ).
thf(f1045,plain,
( ( $true != $true )
| ( ( cR @ cC @ cE )
!= $true )
| ~ spl0_19
| ~ spl0_25 ),
inference(constrained_superposition,[],[f940,f110]) ).
thf(f1046,plain,
( ( $true != $true )
| ( ( cR @ cB @ cE )
!= $true )
| ~ spl0_13
| ~ spl0_25 ),
inference(constrained_superposition,[],[f940,f83]) ).
thf(f1050,plain,
( ( ( cR @ cB @ cE )
!= $true )
| ~ spl0_13
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f1046]) ).
thf(f1051,plain,
( ( ( cR @ cC @ cE )
!= $true )
| ~ spl0_19
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f1045]) ).
thf(f1052,plain,
( $false
| ~ spl0_13
| ~ spl0_15
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1050,f92]) ).
thf(f1053,plain,
( ~ spl0_13
| ~ spl0_15
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
thf(f1054,plain,
( $false
| ~ spl0_19
| ~ spl0_21
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1051,f119]) ).
thf(f1055,plain,
( ~ spl0_19
| ~ spl0_21
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1054]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f34]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f43]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f52]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f61]) ).
cnf(s5,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f70]) ).
cnf(s6,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f79]) ).
cnf(s7,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f88]) ).
cnf(s8,plain,
( spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f97]) ).
cnf(s9,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f106]) ).
cnf(s10,plain,
( spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f115]) ).
cnf(s11,plain,
( spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f124]) ).
cnf(s12,plain,
( spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f133]) ).
cnf(s13,plain,
( spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f142]) ).
cnf(s14,plain,
( spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f151]) ).
cnf(s15,plain,
( spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f160]) ).
cnf(s16,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_23 ),
inference(sat_conversion,[],[f225]) ).
cnf(s18,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_21 ),
inference(sat_conversion,[],[f251]) ).
cnf(s19,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_19 ),
inference(sat_conversion,[],[f266]) ).
cnf(s20,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_27 ),
inference(sat_conversion,[],[f283]) ).
cnf(s22,plain,
( ~ spl0_21
| ~ spl0_23
| ~ spl0_29 ),
inference(sat_conversion,[],[f311]) ).
cnf(s23,plain,
( ~ spl0_25
| ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f313]) ).
cnf(s24,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_12 ),
inference(sat_conversion,[],[f348]) ).
cnf(s25,plain,
( ~ spl0_12
| ~ spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f363]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_14 ),
inference(sat_conversion,[],[f379]) ).
cnf(s27,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_18 ),
inference(sat_conversion,[],[f391]) ).
cnf(s29,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_26 ),
inference(sat_conversion,[],[f429]) ).
cnf(s30,plain,
( ~ spl0_20
| ~ spl0_22
| ~ spl0_26 ),
inference(sat_conversion,[],[f431]) ).
cnf(s31,plain,
( ~ spl0_14
| ~ spl0_18
| ~ spl0_28 ),
inference(sat_conversion,[],[f458]) ).
cnf(s33,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_30 ),
inference(sat_conversion,[],[f517]) ).
cnf(s34,plain,
( ~ spl0_22
| ~ spl0_24
| ~ spl0_30 ),
inference(sat_conversion,[],[f519]) ).
cnf(s35,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_11 ),
inference(sat_conversion,[],[f529]) ).
cnf(s38,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_27 ),
inference(sat_conversion,[],[f532]) ).
cnf(s39,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_25 ),
inference(sat_conversion,[],[f533]) ).
cnf(s42,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_24 ),
inference(sat_conversion,[],[f549]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_15 ),
inference(sat_conversion,[],[f551]) ).
cnf(s45,plain,
( ~ spl0_11
| ~ spl0_17
| ~ spl0_23 ),
inference(sat_conversion,[],[f586]) ).
cnf(s47,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f588]) ).
cnf(s48,plain,
( ~ spl0_16
| ~ spl0_18
| ~ spl0_30 ),
inference(sat_conversion,[],[f590]) ).
cnf(s49,plain,
( ~ spl0_19
| ~ spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f591]) ).
cnf(s50,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_22 ),
inference(sat_conversion,[],[f714]) ).
cnf(s51,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_26 ),
inference(sat_conversion,[],[f736]) ).
cnf(s53,plain,
( ~ spl0_11
| ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f793]) ).
cnf(s55,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_19 ),
inference(sat_conversion,[],[f797]) ).
cnf(s56,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f798]) ).
cnf(s58,plain,
( ~ spl0_12
| ~ spl0_18
| ~ spl0_24 ),
inference(sat_conversion,[],[f799]) ).
cnf(s59,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_22 ),
inference(sat_conversion,[],[f930]) ).
cnf(s61,plain,
( ~ spl0_15
| ~ spl0_17
| ~ spl0_29 ),
inference(sat_conversion,[],[f963]) ).
cnf(s62,plain,
( ~ spl0_20
| ~ spl0_24
| ~ spl0_28 ),
inference(sat_conversion,[],[f964]) ).
cnf(s63,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_13 ),
inference(sat_conversion,[],[f966]) ).
cnf(s64,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_28 ),
inference(sat_conversion,[],[f967]) ).
cnf(s65,plain,
( ~ spl0_13
| ~ spl0_15
| ~ spl0_25 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s66,plain,
( ~ spl0_19
| ~ spl0_21
| ~ spl0_25 ),
inference(sat_conversion,[],[f1055]) ).
cnf(s67,plain,
( ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s55,s10,s7,s47,s26,s6,s24]) ).
cnf(s68,plain,
( ~ spl0_10
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s22,s15,s12,s33,s42,s11,s50]) ).
cnf(s69,plain,
( ~ spl0_8
| ~ spl0_20
| ~ spl0_5
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s48,s9,s15,s45,s22,s12,s62,s14,s38,s5,s68,s8,s53,s11,s50]) ).
cnf(s70,plain,
( ~ spl0_10
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s45,s9,s12,s27,s42,s6,s24]) ).
cnf(s71,plain,
( ~ spl0_20
| ~ spl0_28
| ~ spl0_5
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s48,s9,s15,s45,s22,s12,s62,s8,s53,s11,s30,s13,s39,s4,s69]) ).
cnf(s72,plain,
( ~ spl0_15
| ~ spl0_17
| ~ spl0_11 ),
inference(rat,[],[s34,s11,s15,s53,s61,s12,s45]) ).
cnf(s73,plain,
( ~ spl0_28
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(rat,[],[s50,s11,s4,s66,s39,s13,s29,s8,s72,s9,s31,s7,s55,s10,s71]) ).
cnf(s74,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s73,s14,s38,s5,s70,s3,s67,s6,s24]) ).
cnf(s75,plain,
( ~ spl0_19
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s26,s3,s7,s19,s55,s2,s74]) ).
cnf(s76,plain,
( ~ spl0_23
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s27,s9,s5,s45,s16,s2,s74]) ).
cnf(s77,plain,
( ~ spl0_17
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s33,s4,s15,s5,s39,s23,s38,s13,s3,s29,s26,s7,s8,s20,s72,s14,s62,s12,s76,s10,s75]) ).
cnf(s78,plain,
( ~ spl0_26
| ~ spl0_6
| ~ spl0_20
| ~ spl0_3 ),
inference(rat,[],[s18,s4,s11,s51,s30]) ).
cnf(s79,plain,
( ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s48,s8,s15,s65,s23,s13,s78,s7,s26,s3,s38,s5,s27,s9,s77,s14,s62,s12,s76,s10,s75,s2,s74]) ).
cnf(s80,plain,
( ~ spl0_7
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s30,s11,s13,s18,s39,s10,s19]) ).
cnf(s81,plain,
( ~ spl0_10
| ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s59,s8,s11,s61,s22,s15,s33,s12,s62,s14,s20,s9,s27,s7,s25,s10,s19,s6,s79,s4,s80,s2,s74]) ).
cnf(s82,plain,
( ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s62,s12,s14,s16,s38,s5,s81,s10,s19,s2,s74]) ).
cnf(s83,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s20,s14,s9,s64,s27,s7,s26,s3,s82]) ).
cnf(s84,plain,
( ~ spl0_21
| ~ spl0_2 ),
inference(rat,[],[s51,s4,s13,s18,s66,s10,s62,s14,s20,s9,s58,s6,s79,s7,s26,s3,s82,s12,s16,s5,s83,s2,s74]) ).
cnf(s85,plain,
~ spl0_2,
inference(rat,[],[s61,s8,s15,s59,s34,s11,s84,s9,s58,s12,s16,s5,s83,s6,s79,s2,s74]) ).
cnf(s86,plain,
spl0_1,
inference(rat,[],[s1,s85]) ).
cnf(s87,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s29,s13,s8,s39,s43,s7,s63,s86]) ).
cnf(s88,plain,
( ~ spl0_5
| ~ spl0_10 ),
inference(rat,[],[s25,s10,s6,s19,s35,s2,s68,s4,s87,s7,s63,s86]) ).
cnf(s89,plain,
( ~ spl0_4
| ~ spl0_10 ),
inference(rat,[],[s49,s10,s12,s47,s42,s14,s64,s3,s88]) ).
cnf(s91,plain,
( ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s59,s11,s8,s18,s43,s6,s35,s86]) ).
cnf(s92,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(rat,[],[s23,s13,s15,s51,s33,s4,s91,s2,s89,s14,s64]) ).
cnf(s93,plain,
~ spl0_10,
inference(rat,[],[s92,s3,s88]) ).
cnf(s94,plain,
spl0_9,
inference(rat,[],[s5,s93]) ).
cnf(s95,plain,
~ spl0_17,
inference(rat,[],[s56,s86,s94]) ).
cnf(s96,plain,
spl0_18,
inference(rat,[],[s9,s95]) ).
cnf(s97,plain,
( ~ spl0_12
| ~ spl0_16 ),
inference(rat,[],[s22,s11,s12,s59,s58,s15,s48,s96]) ).
cnf(s98,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s23,s13,s14,s29,s31,s7,s55,s6,s97,s10,s15,s47,s48,s3,s8,s87,s43,s96,s86]) ).
cnf(s99,plain,
( ~ spl0_20
| ~ spl0_4 ),
inference(rat,[],[s25,s6,s7,s69,s63,s3,s47,s4,s98,s86]) ).
cnf(s100,plain,
~ spl0_5,
inference(rat,[],[s31,s14,s7,s38,s63,s96,s94,s86]) ).
cnf(s101,plain,
spl0_6,
inference(rat,[],[s3,s100]) ).
cnf(s102,plain,
~ spl0_4,
inference(rat,[],[s66,s13,s11,s51,s50,s10,s4,s99,s98,s101]) ).
cnf(s103,plain,
spl0_3,
inference(rat,[],[s2,s102]) ).
cnf(s104,plain,
~ spl0_11,
inference(rat,[],[s35,s86,s103]) ).
cnf(s106,plain,
~ spl0_23,
inference(rat,[],[s16,s94,s103]) ).
cnf(s107,plain,
spl0_12,
inference(rat,[],[s6,s104]) ).
cnf(s109,plain,
spl0_24,
inference(rat,[],[s12,s106]) ).
cnf(s110,plain,
$false,
inference(rat,[],[s58,s96,s107,s109]) ).
thf(f1056,plain,
$false,
inference(avatar_sat_refutation,[],[s110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO179^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n019.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 16:37:18 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.31 % (1021674)Will run a generic schedule for satisfiability detection.
% 0.36/0.31 % (1021683)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1570592382:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.31 % (1021683)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.36/0.31 % (1021680)% WARNING: option uhcvi not known.
% 0.36/0.31 % (1021679)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3675043501_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.31 % (1021681)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1733857769:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.31 % (1021682)dis+10_1_sil=32000:sp=arity:random_seed=240480135:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.31 % (1021684)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4076842337:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.31 % (1021685)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=926685913:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.31 % (1021680)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=771444541:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.31 % Exception at run slice level
% 0.36/0.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.36/0.31 % (1021680)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.36/0.31 % (1021680)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.36/0.31 % (1021693)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=62193410:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.36/0.31 % Exception at run slice level
% 0.36/0.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.36/0.31 % (1021683)Instruction limit reached!
% 0.36/0.31 % (1021683)------------------------------
% 0.36/0.31 % (1021683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.31 % (1021683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.31 % (1021683)CaDiCaL version: 2.1.3
% 0.36/0.31 % (1021683)Termination reason: Instruction limit
% 0.36/0.31 % (1021683)Termination phase: Saturation
% 0.36/0.31 % (1021683)Time elapsed: 0.031 s
% 0.36/0.31 % (1021683)Peak memory usage: 12 MB
% 0.36/0.31 % (1021683)Instructions burned: 119 (million)
% 0.36/0.31 % (1021696)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1134203482:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.36/0.31 % (1021696)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.36/0.31 % (1021696)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.36/0.31 % (1021695)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=584600247:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.31 % (1021682)Instruction limit reached!
% 0.36/0.31 % (1021682)------------------------------
% 0.36/0.31 % (1021682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.31 % (1021682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.31 % (1021682)CaDiCaL version: 2.1.3
% 0.36/0.31 % (1021682)Termination reason: Instruction limit
% 0.36/0.31 % (1021682)Termination phase: Saturation
% 0.36/0.31 % (1021682)Time elapsed: 0.050 s
% 0.36/0.31 % (1021682)Peak memory usage: 12 MB
% 0.36/0.31 % (1021682)Instructions burned: 103 (million)
% 0.36/0.31 % (1021684) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1021674-1021684"...
% 0.36/0.31 % (1021681) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1021674-1021681"...
% 0.36/0.31 % (1021684)...printing done.
% 0.36/0.31 % (1021684)Refutation found. Thanks to Tanya!
% 0.36/0.31 % SZS status Theorem for theBenchmark
% 0.36/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.31 % (1021684)------------------------------
% 0.36/0.31 % (1021684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.31 % (1021684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.31 % (1021684)CaDiCaL version: 2.1.3
% 0.36/0.31 % (1021684)Termination reason: Refutation
% 0.36/0.31 % (1021684)Time elapsed: 0.055 s
% 0.36/0.31 % (1021684)Peak memory usage: 13 MB
% 0.36/0.31 % (1021684)Instructions burned: 113 (million)
% 0.36/0.31 % (1021674)Success in time 0.079 s
% 0.36/0.31 % Vampire exiting
%------------------------------------------------------------------------------