%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA172^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 08:02:58 AM UTC 2026
% Result : Unsatisfiable 28.84s 4.47s
% Output : Refutation 28.84s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( r @ X0 @ X1 )
| ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X2: $i,X1: $i,X0: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X0: $i,X2: $i,X1: $i] :
( ~ ( b @ X0 @ X2 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( b @ X0 @ X1 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X0 @ X2 ) ),
inference(rectify,[],[f7]) ).
thf(f9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r @ X1 @ X0 )
| ~ ( r @ X2 @ X1 )
| ~ ( r @ X2 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f13,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( r @ X1 @ X0 )
| ( b @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
! [X1: $i,X0: $i] :
( ( ( r @ X1 @ X0 )
= $true )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f17,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X1: $i,X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(rectify,[],[f18]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(rectify,[],[f15]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f26,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f27,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f29,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f30,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f31,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f32,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f28,f29]) ).
thf(f36,plain,
! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f28,f29]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f28,f32]) ).
thf(f40,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f28]) ).
thf(f41,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f40]) ).
thf(f42,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true ) ),
inference(constrained_superposition,[],[f27,f35]) ).
thf(f43,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ X1 @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f44,plain,
! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) ) ),
inference(constrained_superposition,[],[f26,f36]) ).
thf(f45,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f44]) ).
thf(f46,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( s @ X0 )
= X1 ) ),
inference(constrained_superposition,[],[f45,f28]) ).
thf(f47,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f46]) ).
thf(f48,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( b @ z @ X0 )
!= $true ) ),
inference(extensionality_resolution,[],[f41,f29]) ).
thf(f50,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X2 ) @ X1 ) )
| ( X0 = X2 )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ X2 ) @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f41,f32]) ).
thf(f52,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( ( r @ X2 @ X0 )
= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f41,f28]) ).
thf(f53,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( z = X1 ) ),
inference(constrained_superposition,[],[f41,f36]) ).
thf(f54,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X1 ) ),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f55,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X2 )
| ( X0 = X1 )
| ( ( r @ X2 @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[],[f52]) ).
thf(f56,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= X1 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f48,f28]) ).
thf(f57,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f58,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f29]) ).
thf(f59,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f29]) ).
thf(f60,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f37,f32]) ).
thf(f62,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(constrained_superposition,[],[f43,f37]) ).
thf(f63,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ X1 ) )
!= $true )
| ( ( r @ X2 @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(constrained_superposition,[],[f27,f37]) ).
thf(f64,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ X1 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( r @ X2 @ ( s @ X0 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f63]) ).
thf(f65,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true
= ( b @ ( s @ X1 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f62]) ).
thf(f66,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X2 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( X0 = X2 )
| ( ( r @ X2 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f55,f28]) ).
thf(f67,plain,
! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
= $true )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= X1 )
| ( z = X1 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f55,f36]) ).
thf(f68,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
= $true )
| ( ( r @ X0 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X2 )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f66]) ).
thf(f69,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= X1 )
| ( z = X1 )
| ( ( r @ z @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f67]) ).
thf(f78,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 ) ),
inference(constrained_superposition,[],[f54,f28]) ).
thf(f79,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) ),
inference(trivial_inequality_removal,[],[f78]) ).
thf(f81,plain,
! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(constrained_superposition,[],[f45,f58]) ).
thf(f82,plain,
! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f54,f58]) ).
thf(f85,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f58]) ).
thf(f87,plain,
! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f82]) ).
thf(f89,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f85]) ).
thf(f90,plain,
! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f81]) ).
thf(f92,plain,
! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ),
inference(forward_subsumption_resolution,[],[f87,f29]) ).
thf(f94,definition,
( spl0_1
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f95,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_1 ),
inference(avatar_component_clause,[],[f94]) ).
thf(f97,definition,
( spl0_2
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f98,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f97]) ).
thf(f99,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f90,f97,f94]) ).
thf(f101,definition,
( spl0_3
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f102,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f101]) ).
thf(f105,definition,
( spl0_4
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f106,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f107,plain,
( spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f92,f101,f105]) ).
thf(f108,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_1 ),
inference(constrained_superposition,[],[f95,f36]) ).
thf(f110,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_1 ),
inference(trivial_inequality_removal,[],[f108]) ).
thf(f112,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f110,f94,f105]) ).
thf(f115,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f27,f106]) ).
thf(f117,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f115]) ).
thf(f118,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f117,f37]) ).
thf(f122,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f118]) ).
thf(f129,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f122,f35]) ).
thf(f131,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f129]) ).
thf(f150,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f27,f102]) ).
thf(f151,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f150]) ).
thf(f158,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f27,f59]) ).
thf(f159,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f158]) ).
thf(f163,definition,
( spl0_5
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f164,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f163]) ).
thf(f166,definition,
( spl0_6
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f167,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_6 ),
inference(avatar_component_clause,[],[f166]) ).
thf(f169,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| spl0_6 ),
inference(constrained_superposition,[],[f167,f35]) ).
thf(f172,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f169]) ).
thf(f177,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| spl0_6 ),
inference(constrained_superposition,[],[f41,f172]) ).
thf(f181,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f177]) ).
thf(f253,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( ( r @ ( s @ X1 ) @ X0 )
= $true )
| ( ( r @ z @ X0 )
= $true ) ),
inference(constrained_superposition,[],[f47,f28]) ).
thf(f255,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( r @ ( s @ X1 ) @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( ( r @ z @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[],[f253]) ).
thf(f257,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ z @ X0 )
= $true )
| ( $true != $true )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ X1 ) @ X0 )
= $true ) ),
inference(constrained_superposition,[],[f57,f28]) ).
thf(f258,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X1 ) @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ X1 )
= X0 ) ),
inference(trivial_inequality_removal,[],[f257]) ).
thf(f321,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X1 ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f50,f29]) ).
thf(f326,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ X1 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f50,f131]) ).
thf(f327,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| spl0_6 ),
inference(constrained_superposition,[],[f50,f172]) ).
thf(f328,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X2 ) )
= $true )
| ( $true
!= ( b @ ( s @ X2 ) @ X1 ) )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( X0 = X2 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f50,f28]) ).
thf(f329,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X2 ) @ X1 ) )
| ( ( r @ ( s @ X0 ) @ ( s @ X2 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( X0 = X2 )
| ( ( s @ X0 )
= X1 ) ),
inference(trivial_inequality_removal,[],[f328]) ).
thf(f331,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f327]) ).
thf(f332,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X1 ) @ ( s @ z ) )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( z = X0 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f326]) ).
thf(f339,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= z )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| spl0_6 ),
inference(constrained_superposition,[],[f331,f28]) ).
thf(f340,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f339]) ).
thf(f341,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f340,f29]) ).
thf(f374,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ X1 ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ X1 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f64,f29]) ).
thf(f381,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X1 ) ) )
| ( $true
= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) ) )
| spl0_6 ),
inference(constrained_superposition,[],[f64,f341]) ).
thf(f388,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f64,f106]) ).
thf(f396,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( X0 = X1 )
| ( z = X0 ) )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f381]) ).
thf(f397,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f388]) ).
thf(f435,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f65,f29]) ).
thf(f436,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) ),
inference(extensionality_resolution,[],[f65,f29]) ).
thf(f440,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f65,f35]) ).
thf(f442,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f440]) ).
thf(f446,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f442,f29]) ).
thf(f592,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f60,f29]) ).
thf(f868,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X1 ) @ ( s @ X0 ) )
= $true )
| ( X0 = X1 )
| ( z = X0 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f332,f131]) ).
thf(f874,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ ( s @ X0 ) )
= $true )
| ( z = X1 )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f868]) ).
thf(f890,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( z = X1 )
| ( X0 = X1 ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f43,f874]) ).
thf(f916,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f890]) ).
thf(f917,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X1 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f916]) ).
thf(f925,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f917,f35]) ).
thf(f932,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= X1 )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ X1 ) @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f321,f925]) ).
thf(f934,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( z = X1 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_4
| spl0_6 ),
inference(constrained_superposition,[],[f181,f925]) ).
thf(f950,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X1 )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_4
| spl0_6 ),
inference(trivial_inequality_removal,[],[f934]) ).
thf(f951,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ X1 ) @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f932]) ).
thf(f954,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( z = X1 ) )
| ~ spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f950,f32]) ).
thf(f979,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( X0 = X1 )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X1 ) )
| ~ spl0_4
| spl0_6 ),
inference(constrained_superposition,[],[f117,f954]) ).
thf(f984,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X1 )
| ( z = X0 )
| ( X0 = X1 )
| ( $true
= ( b @ ( s @ X1 ) @ z ) ) )
| ~ spl0_4
| spl0_6 ),
inference(trivial_inequality_removal,[],[f979]) ).
thf(f1360,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) )
| spl0_6 ),
inference(constrained_superposition,[],[f396,f341]) ).
thf(f1369,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1360]) ).
thf(f1390,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( z = X1 )
| ( z = X0 )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| spl0_6 ),
inference(constrained_superposition,[],[f54,f1369]) ).
thf(f1405,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( z = X1 )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X0 )
= z )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| spl0_6 ),
inference(duplicate_literal_removal,[],[f1390]) ).
thf(f1406,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X0 )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= z ) )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1405]) ).
thf(f1412,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( z = X1 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1406,f29]) ).
thf(f1421,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_4
| spl0_6 ),
inference(constrained_superposition,[],[f122,f1412]) ).
thf(f1441,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X1 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( X0 = X1 )
| ( z = X0 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_4
| spl0_6 ),
inference(duplicate_literal_removal,[],[f1421]) ).
thf(f1442,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( X0 = X1 )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_4
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1441]) ).
thf(f1447,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1442,f397]) ).
thf(f1462,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X2 )
| ( $true != $true )
| ( z = X2 )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ X2 ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_4
| spl0_6 ),
inference(constrained_superposition,[],[f26,f1447]) ).
thf(f1471,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( z = X2 )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ X2 ) @ z )
= $true )
| ( X0 = X2 ) )
| ~ spl0_4
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1462]) ).
thf(f1516,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X1 ) @ z ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_4
| spl0_6 ),
inference(constrained_superposition,[],[f1471,f172]) ).
thf(f1518,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_4
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1516]) ).
thf(f1523,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X0 )
| ( X0 = X2 )
| ( z = X2 )
| ( z = X1 )
| ( ( b @ ( s @ X2 ) @ z )
= $true )
| ( $true != $true )
| ( X0 = X1 ) )
| ~ spl0_4
| spl0_6 ),
inference(constrained_superposition,[],[f1518,f925]) ).
thf(f1532,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X2 )
| ( X0 = X1 )
| ( X0 = X2 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( b @ ( s @ X2 ) @ z )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_4
| spl0_6 ),
inference(duplicate_literal_removal,[],[f1523]) ).
thf(f1533,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X2 )
| ( ( b @ ( s @ X2 ) @ z )
= $true )
| ( z = X0 )
| ( X0 = X2 )
| ( z = X1 )
| ( X0 = X1 ) )
| ~ spl0_4
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1532]) ).
thf(f1564,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( z = X0 )
| ( z = X0 )
| ( ( b @ ( s @ X2 ) @ z )
= $true )
| ( $true != $true )
| ( z = X3 )
| ( z = X2 )
| ( X0 = X1 )
| ( X2 = X3 )
| ( X0 = X3 ) )
| ~ spl0_4
| spl0_6 ),
inference(constrained_superposition,[],[f984,f1533]) ).
thf(f1577,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( b @ ( s @ X2 ) @ z )
= $true )
| ( z = X1 )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( z = X3 )
| ( $true != $true )
| ( X0 = X3 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( z = X2 ) )
| ~ spl0_4
| spl0_6 ),
inference(duplicate_literal_removal,[],[f1564]) ).
thf(f1578,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( X0 = X3 )
| ( z = X1 )
| ( z = X2 )
| ( z = X3 )
| ( z = X0 )
| ( ( b @ ( s @ X2 ) @ z )
= $true )
| ( X2 = X3 ) )
| ~ spl0_4
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1577]) ).
thf(f1654,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( z = X0 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X2 )
| ( z = X1 )
| ( X0 = X2 )
| ( z = X0 ) )
| ~ spl0_4
| spl0_6 ),
inference(equality_factoring,[],[f1578]) ).
thf(f1663,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X2 )
| ( X0 = X2 )
| ( z = X0 )
| ( X1 = X2 )
| ( $true != $true )
| ( X0 = X1 )
| ( z = X1 ) )
| ~ spl0_4
| spl0_6 ),
inference(duplicate_literal_removal,[],[f1654]) ).
thf(f1664,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X2 )
| ( X1 = X2 )
| ( z = X2 )
| ( z = X0 )
| ( z = X1 )
| ( X0 = X1 ) )
| ~ spl0_4
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1663]) ).
thf(f1682,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X0 )
| ( X2 = X3 )
| ( z = X2 )
| ( z = X0 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X3 )
| ( z = X3 ) )
| ~ spl0_4
| spl0_6 ),
inference(constrained_superposition,[],[f1518,f1664]) ).
thf(f1692,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X2 )
| ( z = X1 )
| ( X0 = X2 )
| ( X1 = X2 ) )
| ~ spl0_4
| spl0_6 ),
inference(constrained_superposition,[],[f181,f1664]) ).
thf(f1698,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( X0 = X2 )
| ( z = X2 )
| ( X0 = X1 )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z = X1 )
| ( X1 = X2 ) )
| ~ spl0_4
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1692]) ).
thf(f1705,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X2 )
| ( z = X3 )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true != $true )
| ( z = X2 )
| ( X0 = X3 )
| ( X2 = X3 )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_4
| spl0_6 ),
inference(duplicate_literal_removal,[],[f1682]) ).
thf(f1706,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X3 )
| ( X2 = X3 )
| ( z = X1 )
| ( X0 = X3 )
| ( z = X2 )
| ( X0 = X2 )
| ( z = X0 )
| ( X0 = X1 ) )
| ~ spl0_4
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1705]) ).
thf(f1715,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X2 )
| ( X1 = X2 )
| ( X0 = X2 )
| ( z = X0 )
| ( X0 = X1 )
| ( z = X1 ) )
| ~ spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1698,f32]) ).
thf(f1749,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X1 )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X2 )
| ( X0 = X1 )
| ( z = X2 )
| ( z = X0 )
| ( X1 = X2 ) )
| ~ spl0_4
| spl0_6 ),
inference(constrained_superposition,[],[f117,f1715]) ).
thf(f1755,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X1 )
| ( z = X0 )
| ( z = X2 )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X1 = X2 ) )
| ~ spl0_4
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1749]) ).
thf(f1794,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( z = X0 )
| ( z = X0 )
| ( X3 = X5 )
| ( X0 = X5 )
| ( X0 = X1 )
| ( z = X5 )
| ( z = X2 )
| ( X1 = X2 )
| ( X0 = X2 )
| ( X3 = X4 )
| ( z = X4 )
| ( $true != $true )
| ( z = X3 )
| ( X4 = X5 )
| ( z = X1 ) )
| ~ spl0_4
| spl0_6 ),
inference(constrained_superposition,[],[f1755,f1706]) ).
thf(f1806,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( z = X2 )
| ( z = X1 )
| ( z = X5 )
| ( X4 = X5 )
| ( X0 = X1 )
| ( z = X3 )
| ( z = X4 )
| ( z = X0 )
| ( X0 = X2 )
| ( X0 = X5 )
| ( X1 = X2 )
| ( X3 = X4 )
| ( $true != $true )
| ( X3 = X5 ) )
| ~ spl0_4
| spl0_6 ),
inference(duplicate_literal_removal,[],[f1794]) ).
thf(f1807,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( z = X5 )
| ( X4 = X5 )
| ( X3 = X5 )
| ( z = X4 )
| ( X0 = X1 )
| ( z = X1 )
| ( X0 = X2 )
| ( X1 = X2 )
| ( z = X0 )
| ( X3 = X4 )
| ( z = X2 )
| ( X0 = X5 )
| ( z = X3 ) )
| ~ spl0_4
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1806]) ).
thf(f2005,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( z = X2 )
| ( z = X0 )
| ( X2 = X3 )
| ( X2 = X4 )
| ( X3 = X4 )
| ( ( s @ z )
= X0 )
| ( z = X1 )
| ( $true
= ( b @ z @ z ) )
| ( ( s @ z )
= X1 )
| ( z = X3 )
| ( z = X4 )
| ( X0 = X1 )
| ( ( s @ z )
= X2 ) )
| ~ spl0_4
| spl0_6 ),
inference(constrained_superposition,[],[f172,f1807]) ).
thf(f2153,definition,
( spl0_8
<=> ! [X2: $i,X1: $i] :
( ( ( s @ z )
= X2 )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( z = X2 )
| ( X1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f2154,plain,
( ! [X2: $i,X1: $i] :
( ( ( s @ z )
= X2 )
| ( ( s @ z )
= X1 )
| ( z = X2 )
| ( X1 = X2 )
| ( z = X1 ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f2153]) ).
thf(f2156,definition,
( spl0_9
<=> ! [X4: $i,X5: $i,X3: $i] :
( ( X4 = X5 )
| ( z = X4 )
| ( ( s @ z )
= X3 )
| ( z = X5 )
| ( X3 = X4 )
| ( z = X3 )
| ( X3 = X5 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f2157,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ( ( s @ z )
= X3 )
| ( z = X3 )
| ( X4 = X5 )
| ( X3 = X4 )
| ( z = X5 )
| ( z = X4 )
| ( X3 = X5 ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f2156]) ).
thf(f2317,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( X2 = X3 )
| ( z = X0 )
| ( ( s @ z )
= X1 )
| ( X3 = X4 )
| ( ( s @ z )
= X0 )
| ( z = X3 )
| ( X2 = X4 )
| ( z = X4 )
| ( z = X2 )
| ( z = X1 )
| ( X0 = X1 )
| ( ( s @ z )
= X2 ) )
| ~ spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f2005,f30]) ).
thf(f2420,plain,
( spl0_8
| spl0_9
| ~ spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f2317,f166,f105,f2156,f2153]) ).
thf(f2435,definition,
( spl0_50
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f2436,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f2435]) ).
thf(f2442,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( z = X1 )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f951,f29]) ).
thf(f2443,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f436,f166,f163]) ).
thf(f2449,definition,
( spl0_53
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f2450,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f2449]) ).
thf(f2451,plain,
( spl0_50
| spl0_53 ),
inference(avatar_split_clause,[],[f435,f2449,f2435]) ).
thf(f2454,definition,
( spl0_54
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f2455,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f2454]) ).
thf(f2456,plain,
( spl0_50
| spl0_54 ),
inference(avatar_split_clause,[],[f446,f2454,f2435]) ).
thf(f2457,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_50 ),
inference(avatar_component_clause,[],[f2435]) ).
thf(f2459,definition,
( spl0_55
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= X1 )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f2460,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( z = X1 ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f2459]) ).
thf(f2461,plain,
( ~ spl0_50
| spl0_55
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f2442,f105,f2459,f2435]) ).
thf(f2632,plain,
! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f45,f592]) ).
thf(f2637,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f26,f592]) ).
thf(f2638,plain,
! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f2632]) ).
thf(f2647,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f2637]) ).
thf(f2655,definition,
( spl0_57
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f2656,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_57 ),
inference(avatar_component_clause,[],[f2655]) ).
thf(f2658,definition,
( spl0_58
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f2659,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f2658]) ).
thf(f2660,plain,
( ~ spl0_57
| spl0_58 ),
inference(avatar_split_clause,[],[f2638,f2658,f2655]) ).
thf(f2663,definition,
( spl0_59
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f2664,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_59 ),
inference(avatar_component_clause,[],[f2663]) ).
thf(f2687,definition,
( spl0_64
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
thf(f2688,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f2687]) ).
thf(f2696,definition,
( spl0_66
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f2697,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f2696]) ).
thf(f2700,definition,
( spl0_67
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f2701,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f2700]) ).
thf(f2703,definition,
( spl0_68
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f2704,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f2703]) ).
thf(f2716,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_4 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f2738,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f166]) ).
thf(f2745,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| spl0_6 ),
inference(constrained_superposition,[],[f167,f35]) ).
thf(f2748,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f2745]) ).
thf(f2751,plain,
( spl0_50
| spl0_6 ),
inference(avatar_split_clause,[],[f2748,f166,f2435]) ).
thf(f2775,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_57 ),
inference(constrained_superposition,[],[f2656,f36]) ).
thf(f2777,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_57 ),
inference(trivial_inequality_removal,[],[f2775]) ).
thf(f2779,plain,
( spl0_66
| spl0_57 ),
inference(avatar_split_clause,[],[f2777,f2655,f2696]) ).
thf(f2804,definition,
( spl0_77
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f2805,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_77 ),
inference(avatar_component_clause,[],[f2804]) ).
thf(f2879,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f27,f98]) ).
thf(f2883,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f2879]) ).
thf(f2977,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f159,f2659]) ).
thf(f2991,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f2977]) ).
thf(f3000,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f2991,f98]) ).
thf(f3003,definition,
( spl0_79
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f3004,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f3003]) ).
thf(f3006,definition,
( spl0_80
<=> ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f3007,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f3006]) ).
thf(f3010,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f2804]) ).
thf(f3012,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f2663]) ).
thf(f3013,plain,
( spl0_59
| spl0_80
| ~ spl0_2
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f3000,f2658,f97,f3006,f2663]) ).
thf(f3025,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f64,f2697]) ).
thf(f3028,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f27,f2697]) ).
thf(f3029,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f3028]) ).
thf(f3034,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f3025]) ).
thf(f3045,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f26,f3012]) ).
thf(f3048,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f3045]) ).
thf(f3055,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f3029,f37]) ).
thf(f3056,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f3029,f59]) ).
thf(f3074,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f3056]) ).
thf(f3075,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f3055]) ).
thf(f3086,definition,
( spl0_81
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f3087,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f3086]) ).
thf(f3089,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_59
| ~ spl0_64 ),
inference(constrained_superposition,[],[f3048,f2688]) ).
thf(f3090,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f321,f2688]) ).
thf(f3102,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f3090]) ).
thf(f3111,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_59
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f3089]) ).
thf(f3113,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_50
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f3102,f2436]) ).
thf(f3116,definition,
( spl0_82
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
thf(f3117,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f3116]) ).
thf(f3121,plain,
( $false
| ~ spl0_50
| ~ spl0_59
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f3111,f2436]) ).
thf(f3122,plain,
( ~ spl0_50
| ~ spl0_59
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f3121]) ).
thf(f3123,plain,
( spl0_67
| ~ spl0_50
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f3113,f2687,f2435,f2700]) ).
thf(f3125,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| spl0_59 ),
inference(constrained_superposition,[],[f2664,f442]) ).
thf(f3128,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ z ) )
| spl0_59 ),
inference(trivial_inequality_removal,[],[f3125]) ).
thf(f3181,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f3075,f35]) ).
thf(f3185,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f3181]) ).
thf(f3195,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_59
| ~ spl0_66 ),
inference(constrained_superposition,[],[f2664,f3185]) ).
thf(f3205,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| spl0_59
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f3195]) ).
thf(f3306,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f59,f2704]) ).
thf(f3377,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f3306,f31]) ).
thf(f3395,plain,
( $false
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f3377,f30]) ).
thf(f3396,plain,
~ spl0_68,
inference(avatar_contradiction_clause,[],[f3395]) ).
thf(f3405,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| spl0_59 ),
inference(forward_subsumption_resolution,[],[f3128,f29]) ).
thf(f3406,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| spl0_59
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f3205,f29]) ).
thf(f3412,plain,
( spl0_50
| spl0_64
| spl0_59 ),
inference(avatar_split_clause,[],[f3405,f2663,f2687,f2435]) ).
thf(f3413,plain,
( spl0_50
| spl0_59
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f3406,f2696,f2663,f2435]) ).
thf(f3437,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_66
| ~ spl0_67 ),
inference(constrained_superposition,[],[f3029,f2701]) ).
thf(f3452,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_66
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f3437]) ).
thf(f3652,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_64 ),
inference(avatar_component_clause,[],[f2687]) ).
thf(f3656,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_64 ),
inference(constrained_superposition,[],[f3652,f28]) ).
thf(f3658,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_64 ),
inference(trivial_inequality_removal,[],[f3656]) ).
thf(f3659,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f3658,f29]) ).
thf(f3660,plain,
( spl0_79
| spl0_64 ),
inference(avatar_split_clause,[],[f3659,f2687,f3003]) ).
thf(f3664,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f27,f3004]) ).
thf(f3667,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f3664]) ).
thf(f3737,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_54
| spl0_77 ),
inference(constrained_superposition,[],[f2805,f2455]) ).
thf(f3744,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_54
| spl0_77 ),
inference(trivial_inequality_removal,[],[f3737]) ).
thf(f3747,plain,
( $false
| ~ spl0_54
| spl0_64
| spl0_77 ),
inference(forward_subsumption_resolution,[],[f3744,f3652]) ).
thf(f3748,plain,
( ~ spl0_54
| spl0_64
| spl0_77 ),
inference(avatar_contradiction_clause,[],[f3747]) ).
thf(f3752,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f50,f3010]) ).
thf(f3757,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f41,f3010]) ).
thf(f3758,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f26,f3010]) ).
thf(f3759,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f3758]) ).
thf(f3760,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f3752]) ).
thf(f3766,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f3757]) ).
thf(f3769,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f3759,f442]) ).
thf(f3774,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f3759,f28]) ).
thf(f3776,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f3774]) ).
thf(f3780,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f3769]) ).
thf(f3783,plain,
( ~ spl0_6
| spl0_59
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f3074,f2696,f2663,f166]) ).
thf(f3784,plain,
( spl0_81
| spl0_64
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f3780,f2804,f2687,f3086]) ).
thf(f3797,plain,
( ~ spl0_6
| ~ spl0_66
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f3452,f2700,f2696,f166]) ).
thf(f3799,definition,
( spl0_89
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
thf(f3800,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f3799]) ).
thf(f3814,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f329,f2436]) ).
thf(f3815,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f50,f2436]) ).
thf(f3819,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f41,f2436]) ).
thf(f3820,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f26,f2436]) ).
thf(f3821,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( s @ X0 )
= z ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f3814]) ).
thf(f3823,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f3815]) ).
thf(f3824,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f3819]) ).
thf(f3826,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f3820]) ).
thf(f3828,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f3821,f29]) ).
thf(f3834,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f50,f3012]) ).
thf(f3839,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f41,f3012]) ).
thf(f3842,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f3839]) ).
thf(f3847,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f3834]) ).
thf(f3850,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_50
| ~ spl0_59 ),
inference(constrained_superposition,[],[f3826,f3012]) ).
thf(f3853,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f3826,f28]) ).
thf(f3857,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_50
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f3850]) ).
thf(f3858,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f3853]) ).
thf(f3880,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f3858,f36]) ).
thf(f3883,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f3880]) ).
thf(f3944,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( s @ X0 )
= z )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f3823,f28]) ).
thf(f3945,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= z )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f3944]) ).
thf(f3947,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f3945,f29]) ).
thf(f3953,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f27,f3828]) ).
thf(f3955,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f3953]) ).
thf(f3984,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f3842,f36]) ).
thf(f3988,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f3842,f442]) ).
thf(f3990,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f3988]) ).
thf(f3993,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f3984]) ).
thf(f3996,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_50
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f3990,f3824]) ).
thf(f3998,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f3996,f3652]) ).
thf(f4002,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64 ),
inference(constrained_superposition,[],[f27,f3998]) ).
thf(f4006,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64 ),
inference(trivial_inequality_removal,[],[f4002]) ).
thf(f4201,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f3766,f36]) ).
thf(f4207,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f4201]) ).
thf(f4213,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f3847,f442]) ).
thf(f4218,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f4213]) ).
thf(f4223,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_50
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f4218,f3823]) ).
thf(f4225,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f4223,f3652]) ).
thf(f4226,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64 ),
inference(constrained_superposition,[],[f43,f4225]) ).
thf(f4227,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( z = X0 )
| ( $true
= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X1 ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64 ),
inference(constrained_superposition,[],[f64,f4225]) ).
thf(f4239,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64 ),
inference(trivial_inequality_removal,[],[f4226]) ).
thf(f4241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X1 ) ) )
| ( $true
= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( X0 = X1 )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64 ),
inference(trivial_inequality_removal,[],[f4227]) ).
thf(f4256,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f43,f3883]) ).
thf(f4269,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f4256]) ).
thf(f4628,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( s @ z )
= X1 )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64 ),
inference(constrained_superposition,[],[f4241,f4225]) ).
thf(f4643,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( z = X0 )
| ( X0 = X1 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64 ),
inference(trivial_inequality_removal,[],[f4628]) ).
thf(f4880,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( z = X1 )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f58,f2154]) ).
thf(f4968,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( ( s @ z )
= X1 )
| ( z = X1 ) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f4880,f31]) ).
thf(f5031,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( z = X1 ) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f4968,f30]) ).
thf(f5035,definition,
( spl0_96
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X1 ) @ X0 )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
thf(f5036,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ X1 ) @ X0 )
!= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f5035]) ).
thf(f5066,definition,
( spl0_98
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
thf(f5067,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f5066]) ).
thf(f5080,definition,
( spl0_100
<=> ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ X1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
thf(f5081,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X1 ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( s @ X1 )
= ( s @ z ) ) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f5080]) ).
thf(f5085,definition,
( spl0_101
<=> ! [X2: $i,X1: $i] :
( ( z = X2 )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( ( s @ X1 )
= X2 )
| ( ( s @ z )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
thf(f5086,plain,
( ! [X2: $i,X1: $i] :
( ( ( s @ z )
= X2 )
| ( z = X2 )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( ( s @ X1 )
= X2 ) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f5085]) ).
thf(f5099,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ X0 ) )
= X1 )
| ( z = X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f5031,f29]) ).
thf(f5104,definition,
( spl0_105
<=> ! [X2: $i,X0: $i] :
( ( z = X2 )
| ( ( s @ ( s @ X0 ) )
= X2 )
| ( ( s @ z )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
thf(f5105,plain,
( ! [X2: $i,X0: $i] :
( ( ( s @ ( s @ X0 ) )
= X2 )
| ( z = X2 )
| ( ( s @ z )
= X2 ) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f5104]) ).
thf(f5127,definition,
( spl0_107
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f5128,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f5127]) ).
thf(f5150,plain,
( spl0_105
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f5099,f2153,f5104]) ).
thf(f7019,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f592,f5128]) ).
thf(f7091,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f7019,f30]) ).
thf(f7130,plain,
( ! [X0: $i] :
( z
= ( s @ ( s @ X0 ) ) )
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f7091,f31]) ).
thf(f7162,plain,
( $false
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f7130,f29]) ).
thf(f7163,plain,
~ spl0_107,
inference(avatar_contradiction_clause,[],[f7162]) ).
thf(f7352,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_67 ),
inference(avatar_component_clause,[],[f2700]) ).
thf(f7355,definition,
( spl0_137
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f7356,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f7355]) ).
thf(f7374,definition,
( spl0_139
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( ( r @ z @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
thf(f7375,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
= $true )
| ( ( s @ z )
= X1 )
| ( z = X1 ) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f7374]) ).
thf(f7967,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ z ) )
| spl0_68 ),
inference(avatar_component_clause,[],[f2703]) ).
thf(f8059,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_68 ),
inference(extensionality_resolution,[],[f60,f7967]) ).
thf(f8060,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_68 ),
inference(extensionality_resolution,[],[f60,f7967]) ).
thf(f8061,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_68 ),
inference(extensionality_resolution,[],[f442,f7967]) ).
thf(f8062,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_68 ),
inference(extensionality_resolution,[],[f442,f7967]) ).
thf(f8065,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_68 ),
inference(extensionality_resolution,[],[f64,f7967]) ).
thf(f8066,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_68 ),
inference(extensionality_resolution,[],[f64,f7967]) ).
thf(f8070,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_68 ),
inference(extensionality_resolution,[],[f37,f7967]) ).
thf(f8078,definition,
( spl0_163
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
thf(f8079,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f8078]) ).
thf(f8081,definition,
( spl0_164
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
thf(f8082,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f8081]) ).
thf(f8083,plain,
( spl0_163
| spl0_164
| spl0_68 ),
inference(avatar_split_clause,[],[f8060,f2703,f8081,f8078]) ).
thf(f8085,definition,
( spl0_165
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f8086,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f8085]) ).
thf(f8088,definition,
( spl0_166
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
thf(f8089,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f8088]) ).
thf(f8092,definition,
( spl0_167
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
thf(f8093,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f8092]) ).
thf(f8095,definition,
( spl0_168
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
thf(f8096,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f8095]) ).
thf(f8097,plain,
( spl0_167
| spl0_168
| spl0_68 ),
inference(avatar_split_clause,[],[f8065,f2703,f8095,f8092]) ).
thf(f8100,definition,
( spl0_169
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
thf(f8101,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f8100]) ).
thf(f8102,plain,
( spl0_166
| spl0_169
| spl0_68 ),
inference(avatar_split_clause,[],[f8070,f2703,f8100,f8088]) ).
thf(f8104,definition,
( spl0_170
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
thf(f8105,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f8104]) ).
thf(f8107,definition,
( spl0_171
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
thf(f8108,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f8107]) ).
thf(f8109,plain,
( spl0_170
| spl0_171
| spl0_68 ),
inference(avatar_split_clause,[],[f8059,f2703,f8107,f8104]) ).
thf(f8110,plain,
( spl0_169
| spl0_167
| spl0_68 ),
inference(avatar_split_clause,[],[f8066,f2703,f8092,f8100]) ).
thf(f8113,definition,
( spl0_172
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
thf(f8114,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_172 ),
inference(avatar_component_clause,[],[f8113]) ).
thf(f8117,definition,
( spl0_173
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
thf(f8118,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f8117]) ).
thf(f8124,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f89,f8096]) ).
thf(f8134,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f26,f8096]) ).
thf(f8136,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f8124]) ).
thf(f8140,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f8134]) ).
thf(f8148,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_59
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f8136,f3012]) ).
thf(f8149,plain,
( spl0_165
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f8140,f8095,f8085]) ).
thf(f8152,definition,
( spl0_174
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
thf(f8153,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f8152]) ).
thf(f8155,definition,
( spl0_175
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f8156,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f8155]) ).
thf(f8159,plain,
( spl0_175
| ~ spl0_59
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f8148,f8095,f2663,f8155]) ).
thf(f8202,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_77
| ~ spl0_169 ),
inference(constrained_superposition,[],[f3759,f8101]) ).
thf(f8203,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f321,f8101]) ).
thf(f8214,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_77
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f8202]) ).
thf(f8223,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f8203]) ).
thf(f8226,definition,
( spl0_176
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
thf(f8227,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_176 ),
inference(avatar_component_clause,[],[f8226]) ).
thf(f8229,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_67
| ~ spl0_169 ),
inference(forward_subsumption_resolution,[],[f8223,f7352]) ).
thf(f8230,plain,
( ~ spl0_176
| spl0_67
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f8229,f8100,f2700,f8226]) ).
thf(f8231,plain,
( ~ spl0_176
| ~ spl0_77
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f8214,f8100,f2804,f8226]) ).
thf(f8247,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_163 ),
inference(constrained_superposition,[],[f4006,f8079]) ).
thf(f8267,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f8247]) ).
thf(f8276,definition,
( spl0_177
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f8277,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f8276]) ).
thf(f8282,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_163
| ~ spl0_175 ),
inference(forward_subsumption_resolution,[],[f8267,f8156]) ).
thf(f8291,definition,
( spl0_178
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
thf(f8292,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f8291]) ).
thf(f8293,plain,
( spl0_174
| spl0_178
| ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_163
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f8282,f8155,f8078,f2687,f2663,f2435,f8291,f8152]) ).
thf(f8297,definition,
( spl0_179
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
thf(f8298,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f8297]) ).
thf(f8313,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f59,f8153]) ).
thf(f8425,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f8313,f30]) ).
thf(f8454,plain,
( $false
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f8425,f31]) ).
thf(f8455,plain,
~ spl0_174,
inference(avatar_contradiction_clause,[],[f8454]) ).
thf(f8494,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_50
| ~ spl0_173 ),
inference(constrained_superposition,[],[f3823,f8118]) ).
thf(f8502,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_173 ),
inference(constrained_superposition,[],[f26,f8118]) ).
thf(f8512,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f8502]) ).
thf(f8513,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_50
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f8494]) ).
thf(f8541,definition,
( spl0_181
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
thf(f8542,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f8541]) ).
thf(f8575,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_164 ),
inference(constrained_superposition,[],[f48,f8082]) ).
thf(f8591,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f8575]) ).
thf(f8595,definition,
( spl0_182
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
thf(f8596,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f8595]) ).
thf(f8598,definition,
( spl0_183
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f8599,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_183 ),
inference(avatar_component_clause,[],[f8598]) ).
thf(f8602,definition,
( spl0_184
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f8603,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_184 ),
inference(avatar_component_clause,[],[f8602]) ).
thf(f8605,definition,
( spl0_185
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f8606,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f8605]) ).
thf(f8608,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_164
| spl0_172 ),
inference(forward_subsumption_resolution,[],[f8591,f8114]) ).
thf(f8610,plain,
( ~ spl0_184
| ~ spl0_164
| spl0_172 ),
inference(avatar_split_clause,[],[f8608,f8113,f8081,f8602]) ).
thf(f8615,definition,
( spl0_186
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f8616,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f8615]) ).
thf(f8619,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_50
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f8513,f29]) ).
thf(f8622,plain,
( spl0_186
| ~ spl0_50
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f8619,f8117,f2435,f8615]) ).
thf(f8625,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f58,f8292]) ).
thf(f8715,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f8625,f31]) ).
thf(f8744,plain,
( $false
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f8715,f30]) ).
thf(f8745,plain,
~ spl0_178,
inference(avatar_contradiction_clause,[],[f8744]) ).
thf(f8784,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_184 ),
inference(constrained_superposition,[],[f8603,f36]) ).
thf(f8786,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_184 ),
inference(trivial_inequality_removal,[],[f8784]) ).
thf(f8788,plain,
( spl0_179
| spl0_184 ),
inference(avatar_split_clause,[],[f8786,f8602,f8297]) ).
thf(f8790,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_66
| ~ spl0_185 ),
inference(constrained_superposition,[],[f3034,f8606]) ).
thf(f8807,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_66
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f8790]) ).
thf(f8814,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_66
| spl0_68
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f8807,f7967]) ).
thf(f8815,plain,
( spl0_168
| ~ spl0_66
| spl0_68
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f8814,f8605,f2703,f2696,f8095]) ).
thf(f8822,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f43,f8616]) ).
thf(f8837,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f8822]) ).
thf(f8879,definition,
( spl0_187
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f8880,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f8879]) ).
thf(f8882,definition,
( spl0_188
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f8883,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f8882]) ).
thf(f8892,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_66
| ~ spl0_182 ),
inference(constrained_superposition,[],[f3029,f8596]) ).
thf(f8906,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_66
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f8892]) ).
thf(f8916,plain,
( ~ spl0_172
| ~ spl0_66
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f8906,f8595,f2696,f8113]) ).
thf(f8945,definition,
( spl0_189
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f8946,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f8945]) ).
thf(f8958,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f27,f8946]) ).
thf(f8964,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f8958]) ).
thf(f9002,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_188 ),
inference(constrained_superposition,[],[f2883,f8883]) ).
thf(f9024,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f9002]) ).
thf(f9025,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_82 ),
inference(avatar_component_clause,[],[f3116]) ).
thf(f9029,definition,
( spl0_190
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f9030,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f9029]) ).
thf(f9033,definition,
( spl0_191
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f9034,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f9033]) ).
thf(f9039,plain,
( spl0_179
| ~ spl0_82
| ~ spl0_2
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f9024,f8882,f97,f3116,f8297]) ).
thf(f9042,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_2
| spl0_82 ),
inference(constrained_superposition,[],[f9025,f98]) ).
thf(f9052,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_82 ),
inference(trivial_inequality_removal,[],[f9042]) ).
thf(f9086,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_164
| ~ spl0_173 ),
inference(constrained_superposition,[],[f8512,f8082]) ).
thf(f9094,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_164 ),
inference(constrained_superposition,[],[f54,f8082]) ).
thf(f9097,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_164 ),
inference(constrained_superposition,[],[f26,f8082]) ).
thf(f9098,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f9094]) ).
thf(f9104,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f9097]) ).
thf(f9105,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_164
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f9086]) ).
thf(f9110,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f9098,f29]) ).
thf(f9111,plain,
( ~ spl0_184
| ~ spl0_164
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f9105,f8117,f8081,f8602]) ).
thf(f9112,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f8113]) ).
thf(f9114,plain,
( spl0_172
| spl0_179
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f9110,f8081,f8297,f8113]) ).
thf(f9123,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_66
| ~ spl0_179 ),
inference(constrained_superposition,[],[f3034,f8298]) ).
thf(f9126,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f159,f8298]) ).
thf(f9134,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f27,f8298]) ).
thf(f9137,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f9126]) ).
thf(f9139,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f9134]) ).
thf(f9141,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_66
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f9123]) ).
thf(f9147,plain,
( spl0_174
| spl0_181
| ~ spl0_66
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f9141,f8297,f2696,f8541,f8152]) ).
thf(f9155,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_181 ),
inference(constrained_superposition,[],[f3847,f8542]) ).
thf(f9174,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f9155]) ).
thf(f9248,definition,
( spl0_192
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f9249,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_192 ),
inference(avatar_component_clause,[],[f9248]) ).
thf(f9251,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_192 ),
inference(constrained_superposition,[],[f9249,f36]) ).
thf(f9254,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_192 ),
inference(trivial_inequality_removal,[],[f9251]) ).
thf(f9334,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_179
| ~ spl0_188 ),
inference(constrained_superposition,[],[f9139,f8883]) ).
thf(f9351,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_179
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f9334]) ).
thf(f9363,plain,
( $false
| ~ spl0_79
| ~ spl0_179
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f9351,f3004]) ).
thf(f9364,plain,
( ~ spl0_79
| ~ spl0_179
| ~ spl0_188 ),
inference(avatar_contradiction_clause,[],[f9363]) ).
thf(f9423,plain,
( spl0_185
| spl0_192 ),
inference(avatar_split_clause,[],[f9254,f9248,f8605]) ).
thf(f9426,definition,
( spl0_194
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f9427,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f9426]) ).
thf(f9432,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f9174,f29]) ).
thf(f9454,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f27,f8089]) ).
thf(f9460,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f9454]) ).
thf(f9468,plain,
( spl0_167
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f9460,f8088,f8092]) ).
thf(f9478,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_59
| ~ spl0_179
| ~ spl0_181 ),
inference(constrained_superposition,[],[f9139,f9432]) ).
thf(f9504,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_59
| ~ spl0_179
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f9478]) ).
thf(f9507,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_167
| ~ spl0_186 ),
inference(constrained_superposition,[],[f8093,f8616]) ).
thf(f9523,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_167
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f9507]) ).
thf(f9548,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f8964,f69]) ).
thf(f9556,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f9548]) ).
thf(f9590,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_164
| ~ spl0_181 ),
inference(constrained_superposition,[],[f9104,f8542]) ).
thf(f9591,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_164 ),
inference(constrained_superposition,[],[f9104,f592]) ).
thf(f9593,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_66
| ~ spl0_164 ),
inference(constrained_superposition,[],[f9104,f3185]) ).
thf(f9595,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f9591]) ).
thf(f9600,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_66
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f9593]) ).
thf(f9601,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_164
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f9590]) ).
thf(f9604,plain,
( spl0_194
| ~ spl0_168
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f9595,f8081,f8095,f9426]) ).
thf(f9609,plain,
( ~ spl0_168
| spl0_174
| spl0_177
| ~ spl0_66
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f9600,f8081,f2696,f8276,f8152,f8095]) ).
thf(f9610,plain,
( ~ spl0_168
| ~ spl0_164
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f9601,f8541,f8081,f8095]) ).
thf(f9621,plain,
( ! [X2: $i,X0: $i] :
( ( z = X2 )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( s @ z )
= X2 )
| ( ( s @ X0 )
= X2 ) )
| ~ spl0_105 ),
inference(constrained_superposition,[],[f5105,f5105]) ).
thf(f9994,plain,
( spl0_101
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f9621,f5104,f5085]) ).
thf(f10282,definition,
( spl0_235
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f10283,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f10282]) ).
thf(f11147,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
!= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( z = X0 ) )
| spl0_68
| ~ spl0_101 ),
inference(constrained_superposition,[],[f7967,f5086]) ).
thf(f11218,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( z = X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| spl0_68
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f11147]) ).
thf(f11265,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| spl0_68
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f11218,f29]) ).
thf(f11355,definition,
( spl0_255
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).
thf(f11356,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f11355]) ).
thf(f11364,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 ) )
| spl0_68
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f11265,f32]) ).
thf(f11407,definition,
( spl0_258
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).
thf(f11408,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f11407]) ).
thf(f11443,definition,
( spl0_260
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).
thf(f11444,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f11443]) ).
thf(f11456,plain,
( spl0_107
| spl0_68
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f11364,f5085,f2703,f5127]) ).
thf(f12622,definition,
( spl0_300
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f12623,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f12622]) ).
thf(f12647,definition,
( spl0_305
<=> ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f12648,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f12647]) ).
thf(f12746,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_164 ),
inference(constrained_superposition,[],[f9104,f4643]) ).
thf(f12764,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f12746]) ).
thf(f12770,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f12764,f29]) ).
thf(f12777,definition,
( spl0_317
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
thf(f12778,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f12777]) ).
thf(f12779,plain,
( spl0_174
| spl0_317
| ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f12770,f8081,f2687,f2663,f2435,f12777,f8152]) ).
thf(f13110,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ z ) )
| spl0_174 ),
inference(avatar_component_clause,[],[f8152]) ).
thf(f13115,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_185 ),
inference(avatar_component_clause,[],[f8605]) ).
thf(f13128,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_255 ),
inference(avatar_component_clause,[],[f11355]) ).
thf(f13134,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_174 ),
inference(extensionality_resolution,[],[f60,f13110]) ).
thf(f13135,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_174 ),
inference(extensionality_resolution,[],[f60,f13110]) ).
thf(f13140,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_174 ),
inference(extensionality_resolution,[],[f64,f13110]) ).
thf(f13141,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_174 ),
inference(extensionality_resolution,[],[f64,f13110]) ).
thf(f13142,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_174 ),
inference(extensionality_resolution,[],[f50,f13110]) ).
thf(f13151,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f8598]) ).
thf(f13153,definition,
( spl0_322
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).
thf(f13154,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f13153]) ).
thf(f13155,plain,
( spl0_183
| spl0_322
| spl0_174 ),
inference(avatar_split_clause,[],[f13141,f8152,f13153,f8598]) ).
thf(f13159,definition,
( spl0_323
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).
thf(f13160,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_323 ),
inference(avatar_component_clause,[],[f13159]) ).
thf(f13162,definition,
( spl0_324
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f13163,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f13162]) ).
thf(f13164,plain,
( spl0_323
| spl0_324
| spl0_174 ),
inference(avatar_split_clause,[],[f13134,f8152,f13162,f13159]) ).
thf(f13166,definition,
( spl0_325
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
thf(f13167,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f13166]) ).
thf(f13169,definition,
( spl0_326
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).
thf(f13170,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_326 ),
inference(avatar_component_clause,[],[f13169]) ).
thf(f13171,plain,
( spl0_325
| spl0_326
| spl0_174 ),
inference(avatar_split_clause,[],[f13135,f8152,f13169,f13166]) ).
thf(f13185,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_77
| ~ spl0_183 ),
inference(constrained_superposition,[],[f3759,f13151]) ).
thf(f13195,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f26,f13151]) ).
thf(f13201,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f13195]) ).
thf(f13204,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_77
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f13185]) ).
thf(f13212,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_77
| ~ spl0_183 ),
inference(constrained_superposition,[],[f13204,f28]) ).
thf(f13214,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_77
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f13212]) ).
thf(f13241,definition,
( spl0_327
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).
thf(f13247,definition,
( spl0_328
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
thf(f13248,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f13247]) ).
thf(f13251,definition,
( spl0_329
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f13252,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f13251]) ).
thf(f13295,definition,
( spl0_330
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).
thf(f13296,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_330 ),
inference(avatar_component_clause,[],[f13295]) ).
thf(f13328,definition,
( spl0_331
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f13329,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f13328]) ).
thf(f13330,plain,
( spl0_331
| ~ spl0_6
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f4269,f2435,f166,f13328]) ).
thf(f13331,plain,
( ~ spl0_6
| ~ spl0_59
| ~ spl0_179
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f9504,f8541,f8297,f2663,f166]) ).
thf(f13334,plain,
( spl0_89
| ~ spl0_6
| ~ spl0_50
| ~ spl0_59
| spl0_64 ),
inference(avatar_split_clause,[],[f4239,f2687,f2663,f2435,f166,f3799]) ).
thf(f13355,definition,
( spl0_332
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).
thf(f13356,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f13355]) ).
thf(f13360,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f374,f13248]) ).
thf(f13361,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f159,f13248]) ).
thf(f13371,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f13361]) ).
thf(f13376,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f13360]) ).
thf(f13435,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_330 ),
inference(avatar_component_clause,[],[f13295]) ).
thf(f13444,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f27,f13435]) ).
thf(f13445,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f13444]) ).
thf(f13480,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f2647,f13160]) ).
thf(f13486,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f45,f13160]) ).
thf(f13490,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f26,f13160]) ).
thf(f13494,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f13480]) ).
thf(f13496,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f13486]) ).
thf(f13499,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f13490]) ).
thf(f13511,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_325 ),
inference(constrained_superposition,[],[f4006,f13167]) ).
thf(f13525,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f13511]) ).
thf(f13530,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_175
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f13525,f8156]) ).
thf(f13533,plain,
( spl0_329
| spl0_178
| ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_175
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f13530,f13166,f8155,f2687,f2663,f2435,f8291,f13251]) ).
thf(f13537,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_326 ),
inference(constrained_superposition,[],[f89,f13170]) ).
thf(f13554,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f13537]) ).
thf(f13602,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_328
| ~ spl0_330 ),
inference(constrained_superposition,[],[f13445,f13248]) ).
thf(f13612,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_328
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f13602]) ).
thf(f13644,definition,
( spl0_335
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).
thf(f13645,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f13644]) ).
thf(f13654,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f13499,f58]) ).
thf(f13657,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f13499,f592]) ).
thf(f13664,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f13657]) ).
thf(f13669,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f13654]) ).
thf(f13731,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_255 ),
inference(constrained_superposition,[],[f13128,f58]) ).
thf(f13733,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_255 ),
inference(constrained_superposition,[],[f13128,f28]) ).
thf(f13734,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_255 ),
inference(trivial_inequality_removal,[],[f13731]) ).
thf(f13735,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_255 ),
inference(trivial_inequality_removal,[],[f13733]) ).
thf(f13835,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_5
| ~ spl0_81 ),
inference(constrained_superposition,[],[f3087,f164]) ).
thf(f13854,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_5
| ~ spl0_81 ),
inference(duplicate_literal_removal,[],[f13835]) ).
thf(f13855,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_5
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f13854]) ).
thf(f13862,plain,
( spl0_300
| ~ spl0_5
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f13855,f3086,f163,f12622]) ).
thf(f17969,definition,
( spl0_350
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_350])],[avatar_definition]) ).
thf(f17970,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_350 ),
inference(avatar_component_clause,[],[f17969]) ).
thf(f17976,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_164
| ~ spl0_350 ),
inference(constrained_superposition,[],[f8082,f17970]) ).
thf(f18217,definition,
( spl0_351
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_351])],[avatar_definition]) ).
thf(f18218,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_351 ),
inference(avatar_component_clause,[],[f18217]) ).
thf(f18260,plain,
( $false
| ~ spl0_164
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f17976,f30]) ).
thf(f18261,plain,
( ~ spl0_164
| ~ spl0_350 ),
inference(avatar_contradiction_clause,[],[f18260]) ).
thf(f18385,definition,
( spl0_356
<=> ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_356])],[avatar_definition]) ).
thf(f18386,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_356 ),
inference(avatar_component_clause,[],[f18385]) ).
thf(f18398,definition,
( spl0_357
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_357])],[avatar_definition]) ).
thf(f18399,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_357 ),
inference(avatar_component_clause,[],[f18398]) ).
thf(f18400,plain,
( spl0_357
| spl0_188
| spl0_174 ),
inference(avatar_split_clause,[],[f13142,f8152,f8882,f18398]) ).
thf(f18434,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_66 ),
inference(avatar_component_clause,[],[f2696]) ).
thf(f18455,plain,
( ~ spl0_57
| ~ spl0_50
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f3857,f2663,f2435,f2655]) ).
thf(f18472,plain,
( spl0_357
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f13201,f8598,f18398]) ).
thf(f18474,definition,
( spl0_368
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_368])],[avatar_definition]) ).
thf(f18475,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f18474]) ).
thf(f18476,plain,
( spl0_178
| spl0_368
| ~ spl0_77
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f13214,f8598,f2804,f18474,f8291]) ).
thf(f18477,plain,
( spl0_181
| spl0_322
| spl0_174 ),
inference(avatar_split_clause,[],[f13140,f8152,f13153,f8541]) ).
thf(f18484,plain,
( spl0_66
| ~ spl0_2
| spl0_82 ),
inference(avatar_split_clause,[],[f9052,f3116,f97,f2696]) ).
thf(f18517,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| spl0_4
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f3993,f2716]) ).
thf(f18595,definition,
( spl0_373
<=> ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).
thf(f18596,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f18595]) ).
thf(f18604,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_4
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f18517,f29]) ).
thf(f18710,plain,
( spl0_66
| spl0_4
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f18604,f2663,f105,f2696]) ).
thf(f18793,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_77
| ~ spl0_179
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f9137,f13204]) ).
thf(f18803,definition,
( spl0_403
<=> ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= X1 )
| ( z = X1 )
| ( z = X0 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_403])],[avatar_definition]) ).
thf(f18804,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= X1 )
| ( ( s @ z )
= X0 )
| ( z = X1 )
| ( z = X0 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_403 ),
inference(avatar_component_clause,[],[f18803]) ).
thf(f18807,definition,
( spl0_404
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_404])],[avatar_definition]) ).
thf(f18808,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_404 ),
inference(avatar_component_clause,[],[f18807]) ).
thf(f18809,plain,
( spl0_404
| ~ spl0_4
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f13371,f13247,f105,f18807]) ).
thf(f18811,definition,
( spl0_405
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_405])],[avatar_definition]) ).
thf(f18812,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_405 ),
inference(avatar_component_clause,[],[f18811]) ).
thf(f18827,plain,
( ~ spl0_67
| ~ spl0_167
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f9523,f8615,f8092,f2700]) ).
thf(f18862,definition,
( spl0_414
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_414])],[avatar_definition]) ).
thf(f18863,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_414 ),
inference(avatar_component_clause,[],[f18862]) ).
thf(f18864,plain,
( spl0_414
| ~ spl0_4
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f13376,f13247,f105,f18862]) ).
thf(f18874,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f4207,f29]) ).
thf(f18875,plain,
( ~ spl0_4
| ~ spl0_328
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f13612,f13295,f13247,f105]) ).
thf(f18885,plain,
( ~ spl0_4
| ~ spl0_77
| ~ spl0_179
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f18793,f8598,f8297,f2804,f105]) ).
thf(f18898,plain,
( spl0_66
| spl0_4
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f18874,f2804,f105,f2696]) ).
thf(f18912,definition,
( spl0_419
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_419])],[avatar_definition]) ).
thf(f18913,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_419 ),
inference(avatar_component_clause,[],[f18912]) ).
thf(f18914,plain,
( ~ spl0_169
| spl0_419
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f13494,f13159,f18912,f8100]) ).
thf(f18919,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_404 ),
inference(avatar_component_clause,[],[f18807]) ).
thf(f18920,plain,
( spl0_175
| ~ spl0_404
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f13554,f13169,f18807,f8155]) ).
thf(f18928,plain,
( spl0_175
| spl0_255 ),
inference(avatar_split_clause,[],[f13734,f11355,f8155]) ).
thf(f18936,plain,
( ~ spl0_168
| spl0_419
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f13664,f13159,f18912,f8095]) ).
thf(f18941,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_174
| spl0_255 ),
inference(forward_subsumption_resolution,[],[f13735,f13110]) ).
thf(f18946,plain,
( spl0_175
| spl0_174
| spl0_255 ),
inference(avatar_split_clause,[],[f18941,f11355,f8152,f8155]) ).
thf(f18961,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_173 ),
inference(avatar_component_clause,[],[f8117]) ).
thf(f18963,plain,
( ~ spl0_192
| spl0_328
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f13496,f13159,f13247,f9248]) ).
thf(f18987,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f27,f2697]) ).
thf(f18993,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f18987]) ).
thf(f18998,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_59 ),
inference(constrained_superposition,[],[f2664,f28]) ).
thf(f18999,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_59 ),
inference(trivial_inequality_removal,[],[f18998]) ).
thf(f19001,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_59
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f18999,f7967]) ).
thf(f19002,plain,
( spl0_67
| spl0_59
| spl0_68 ),
inference(avatar_split_clause,[],[f19001,f2703,f2663,f2700]) ).
thf(f19022,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f27,f3007]) ).
thf(f19024,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f19022]) ).
thf(f19038,plain,
( spl0_235
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f19024,f3006,f10282]) ).
thf(f19309,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( z = X0 )
| ( X0 = X1 )
| ( X0 != X0 ) )
| ~ spl0_9 ),
inference(equality_factoring,[],[f2157]) ).
thf(f19320,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( X0 = X1 )
| ( z
= ( s @ z ) )
| ( z = X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f19309]) ).
thf(f19348,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( z = X0 )
| ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( z = X1 ) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f19320,f29]) ).
thf(f19436,plain,
( spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f19348,f2156,f2153]) ).
thf(f19539,definition,
( spl0_436
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_436])],[avatar_definition]) ).
thf(f19540,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_436 ),
inference(avatar_component_clause,[],[f19539]) ).
thf(f19622,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f27,f9112]) ).
thf(f19624,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f19622]) ).
thf(f19627,plain,
( spl0_260
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f19624,f8113,f11443]) ).
thf(f19654,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f59,f13252]) ).
thf(f19749,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f19654,f31]) ).
thf(f19776,plain,
( $false
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f19749,f30]) ).
thf(f19777,plain,
~ spl0_329,
inference(avatar_contradiction_clause,[],[f19776]) ).
thf(f19821,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_77
| ~ spl0_255 ),
inference(constrained_superposition,[],[f3760,f11356]) ).
thf(f19831,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_255 ),
inference(constrained_superposition,[],[f26,f11356]) ).
thf(f19839,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_77
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f19821]) ).
thf(f19844,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f19831]) ).
thf(f19848,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_68
| ~ spl0_77
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f19839,f7967]) ).
thf(f19850,plain,
( spl0_258
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f19844,f11355,f11407]) ).
thf(f19852,plain,
( spl0_166
| spl0_68
| ~ spl0_77
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f19848,f11355,f2804,f2703,f8088]) ).
thf(f19858,definition,
( spl0_439
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_439])],[avatar_definition]) ).
thf(f19859,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_439 ),
inference(avatar_component_clause,[],[f19858]) ).
thf(f19860,plain,
( spl0_439
| spl0_179
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f9556,f8945,f8297,f19858]) ).
thf(f19953,plain,
( spl0_436
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f18993,f2696,f19539]) ).
thf(f19954,plain,
( spl0_436
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f3667,f3003,f19539]) ).
thf(f19955,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_436 ),
inference(constrained_superposition,[],[f19540,f37]) ).
thf(f19972,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f19955]) ).
thf(f20115,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_351 ),
inference(constrained_superposition,[],[f592,f18218]) ).
thf(f20218,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f20115,f31]) ).
thf(f20237,plain,
( $false
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f20218,f30]) ).
thf(f20238,plain,
~ spl0_351,
inference(avatar_contradiction_clause,[],[f20237]) ).
thf(f20259,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_77
| ~ spl0_404 ),
inference(constrained_superposition,[],[f3776,f18808]) ).
thf(f20278,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_77
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f20259]) ).
thf(f20287,definition,
( spl0_440
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_440])],[avatar_definition]) ).
thf(f20288,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_440 ),
inference(avatar_component_clause,[],[f20287]) ).
thf(f20290,definition,
( spl0_441
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_441])],[avatar_definition]) ).
thf(f20291,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_441 ),
inference(avatar_component_clause,[],[f20290]) ).
thf(f20292,plain,
( spl0_440
| spl0_441
| ~ spl0_77
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f20278,f18807,f2804,f20290,f20287]) ).
thf(f20301,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_173
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f8837,f18961]) ).
thf(f20303,plain,
( ~ spl0_6
| spl0_173
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f20301,f8615,f8117,f166]) ).
thf(f20305,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( $true != $true ) )
| spl0_6 ),
inference(constrained_superposition,[],[f167,f258]) ).
thf(f20308,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f20305]) ).
thf(f20316,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_441 ),
inference(constrained_superposition,[],[f592,f20291]) ).
thf(f20397,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_441 ),
inference(forward_subsumption_resolution,[],[f20316,f30]) ).
thf(f20409,plain,
( $false
| ~ spl0_441 ),
inference(forward_subsumption_resolution,[],[f20397,f31]) ).
thf(f20410,plain,
~ spl0_441,
inference(avatar_contradiction_clause,[],[f20409]) ).
thf(f20436,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f26,f13645]) ).
thf(f20443,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f20436]) ).
thf(f20536,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_164 ),
inference(constrained_superposition,[],[f2647,f8082]) ).
thf(f20537,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_164 ),
inference(constrained_superposition,[],[f321,f8082]) ).
thf(f20538,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_164 ),
inference(constrained_superposition,[],[f89,f8082]) ).
thf(f20547,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f20536]) ).
thf(f20551,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f20537]) ).
thf(f20555,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f20538]) ).
thf(f20569,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_419
| ~ spl0_436 ),
inference(constrained_superposition,[],[f19540,f18913]) ).
thf(f20572,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f374,f18913]) ).
thf(f20577,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f27,f18913]) ).
thf(f20581,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f20577]) ).
thf(f20582,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f20572]) ).
thf(f20583,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_419
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f20569]) ).
thf(f20690,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f20443,f592]) ).
thf(f20701,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f20690]) ).
thf(f20790,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_50
| ~ spl0_419 ),
inference(constrained_superposition,[],[f20581,f3947]) ).
thf(f20808,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_50
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f20790]) ).
thf(f20861,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_89
| spl0_173 ),
inference(constrained_superposition,[],[f18961,f3800]) ).
thf(f20875,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_89
| spl0_173 ),
inference(trivial_inequality_removal,[],[f20861]) ).
thf(f20891,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_68
| ~ spl0_89
| spl0_173 ),
inference(forward_subsumption_resolution,[],[f20875,f7967]) ).
thf(f20893,plain,
( $false
| spl0_68
| ~ spl0_89
| spl0_173 ),
inference(forward_subsumption_resolution,[],[f20891,f29]) ).
thf(f20894,plain,
( spl0_68
| ~ spl0_89
| spl0_173 ),
inference(avatar_contradiction_clause,[],[f20893]) ).
thf(f20982,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_173
| ~ spl0_300 ),
inference(constrained_superposition,[],[f18961,f12623]) ).
thf(f20996,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_300 ),
inference(constrained_superposition,[],[f26,f12623]) ).
thf(f21003,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f20996]) ).
thf(f21004,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_173
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f20982]) ).
thf(f21015,plain,
( spl0_305
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f21003,f12622,f12647]) ).
thf(f21016,plain,
( $false
| spl0_68
| spl0_173
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f21004,f7967]) ).
thf(f21017,plain,
( spl0_68
| spl0_173
| ~ spl0_300 ),
inference(avatar_contradiction_clause,[],[f21016]) ).
thf(f21072,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| spl0_6 ),
inference(constrained_superposition,[],[f27,f20308]) ).
thf(f21104,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f21072]) ).
thf(f21109,plain,
( spl0_356
| spl0_6 ),
inference(avatar_split_clause,[],[f21104,f166,f18385]) ).
thf(f23938,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_172
| ~ spl0_436 ),
inference(constrained_superposition,[],[f19972,f9112]) ).
thf(f23942,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_172
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f23938]) ).
thf(f26202,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_55
| spl0_67 ),
inference(constrained_superposition,[],[f7352,f2460]) ).
thf(f26236,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_55
| spl0_67 ),
inference(trivial_inequality_removal,[],[f26202]) ).
thf(f26244,plain,
( spl0_89
| ~ spl0_55
| spl0_67 ),
inference(avatar_split_clause,[],[f26236,f2700,f2459,f3799]) ).
thf(f26297,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_330
| ~ spl0_439 ),
inference(constrained_superposition,[],[f19859,f13435]) ).
thf(f26318,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_330
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f26297]) ).
thf(f26330,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_330
| ~ spl0_439 ),
inference(forward_subsumption_resolution,[],[f26318,f29]) ).
thf(f26333,definition,
( spl0_1002
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1002])],[avatar_definition]) ).
thf(f26334,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1002 ),
inference(avatar_component_clause,[],[f26333]) ).
thf(f26335,plain,
( spl0_1002
| spl0_328
| ~ spl0_330
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f26330,f19858,f13295,f13247,f26333]) ).
thf(f26380,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_1002 ),
inference(constrained_superposition,[],[f32,f26334]) ).
thf(f26451,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_179 ),
inference(avatar_component_clause,[],[f8297]) ).
thf(f26492,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1002 ),
inference(equality_resolution,[],[f26380]) ).
thf(f26493,plain,
( spl0_350
| ~ spl0_1002 ),
inference(avatar_split_clause,[],[f26492,f26333,f17969]) ).
thf(f26498,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_68
| ~ spl0_172
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f23942,f7967]) ).
thf(f26516,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_191 ),
inference(avatar_component_clause,[],[f9033]) ).
thf(f26517,plain,
( ~ spl0_191
| spl0_175
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f20555,f8081,f8155,f9033]) ).
thf(f26532,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_330
| ~ spl0_419 ),
inference(forward_subsumption_resolution,[],[f20582,f13435]) ).
thf(f26534,plain,
( ~ spl0_191
| spl0_186
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f20551,f8081,f8615,f9033]) ).
thf(f26544,plain,
( spl0_182
| ~ spl0_183
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f20547,f8081,f8598,f8595]) ).
thf(f26548,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_50
| ~ spl0_419 ),
inference(forward_subsumption_resolution,[],[f20808,f29]) ).
thf(f26559,plain,
( spl0_168
| spl0_68
| ~ spl0_172
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f26498,f19539,f8113,f2703,f8095]) ).
thf(f26567,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_79 ),
inference(avatar_component_clause,[],[f3003]) ).
thf(f26573,plain,
( spl0_77
| ~ spl0_330
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f26532,f18912,f13295,f2804]) ).
thf(f26576,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_50
| ~ spl0_419
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f26548,f20583]) ).
thf(f26584,plain,
( ~ spl0_67
| ~ spl0_50
| ~ spl0_419
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f26576,f19539,f18912,f2435,f2700]) ).
thf(f26589,plain,
( spl0_419
| ~ spl0_57
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f20701,f13644,f2655,f18912]) ).
thf(f26596,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ X0 )
= z )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f329,f2688]) ).
thf(f26597,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
!= $true ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f50,f2688]) ).
thf(f26600,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_50
| ~ spl0_64 ),
inference(constrained_superposition,[],[f3824,f2688]) ).
thf(f26601,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f55,f2688]) ).
thf(f26607,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_50
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f26600]) ).
thf(f26608,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f26601]) ).
thf(f26612,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f26596]) ).
thf(f26613,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f26597]) ).
thf(f26616,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_50
| ~ spl0_64
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f26607,f7967]) ).
thf(f26619,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f26612,f29]) ).
thf(f26621,plain,
( spl0_82
| ~ spl0_50
| ~ spl0_64
| spl0_68 ),
inference(avatar_split_clause,[],[f26616,f2703,f2687,f2435,f3116]) ).
thf(f26643,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_77 ),
inference(constrained_superposition,[],[f2805,f28]) ).
thf(f26646,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_77 ),
inference(trivial_inequality_removal,[],[f26643]) ).
thf(f26647,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_68
| spl0_77 ),
inference(forward_subsumption_resolution,[],[f26646,f7967]) ).
thf(f26648,plain,
( spl0_82
| spl0_68
| spl0_77 ),
inference(avatar_split_clause,[],[f26647,f2804,f2703,f3116]) ).
thf(f26678,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_67 ),
inference(constrained_superposition,[],[f64,f2701]) ).
thf(f26689,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f26678]) ).
thf(f26695,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f27,f3117]) ).
thf(f26699,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f26695]) ).
thf(f26702,plain,
( spl0_137
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f26699,f3116,f7355]) ).
thf(f26719,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f592,f8880]) ).
thf(f26801,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f26719,f31]) ).
thf(f26808,plain,
( $false
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f26801,f30]) ).
thf(f26809,plain,
~ spl0_187,
inference(avatar_contradiction_clause,[],[f26808]) ).
thf(f27005,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f48,f13151]) ).
thf(f27006,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f45,f13151]) ).
thf(f27012,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f27006]) ).
thf(f27019,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f27005]) ).
thf(f27023,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_66
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f27012,f18434]) ).
thf(f27024,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_79
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f27019,f26567]) ).
thf(f27025,plain,
( ~ spl0_184
| spl0_66
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f27023,f8598,f2696,f8602]) ).
thf(f27026,plain,
( ~ spl0_184
| spl0_79
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f27024,f8598,f3003,f8602]) ).
thf(f27040,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f7356,f69]) ).
thf(f27056,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f27040]) ).
thf(f27057,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_66
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f27056,f18434]) ).
thf(f27161,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_66
| ~ spl0_137 ),
inference(constrained_superposition,[],[f27057,f98]) ).
thf(f27179,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_2
| spl0_66
| ~ spl0_137 ),
inference(duplicate_literal_removal,[],[f27161]) ).
thf(f27180,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_66
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f27179]) ).
thf(f27187,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_66
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f27180,f29]) ).
thf(f27231,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_2
| spl0_66
| ~ spl0_137 ),
inference(constrained_superposition,[],[f27,f27187]) ).
thf(f27234,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_2
| spl0_66
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f27231]) ).
thf(f27345,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= z )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_50
| ~ spl0_64 ),
inference(constrained_superposition,[],[f3955,f26608]) ).
thf(f27346,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_64 ),
inference(constrained_superposition,[],[f151,f26608]) ).
thf(f27367,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_64 ),
inference(duplicate_literal_removal,[],[f27346]) ).
thf(f27368,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f27367]) ).
thf(f27372,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_50
| ~ spl0_64 ),
inference(duplicate_literal_removal,[],[f27345]) ).
thf(f27373,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ X0 )
= z ) )
| ~ spl0_50
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f27372]) ).
thf(f27377,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_3
| ~ spl0_64
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f27368,f3117]) ).
thf(f27379,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_50
| ~ spl0_64
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f27373,f3117]) ).
thf(f27383,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_64
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f27377,f29]) ).
thf(f27384,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_50
| ~ spl0_64
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f27379,f29]) ).
thf(f27403,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_50
| ~ spl0_64
| ~ spl0_82 ),
inference(constrained_superposition,[],[f27,f27384]) ).
thf(f27404,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_50
| ~ spl0_64
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f27403]) ).
thf(f27583,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f374,f26619]) ).
thf(f27593,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f27583]) ).
thf(f27602,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_64
| spl0_77 ),
inference(forward_subsumption_resolution,[],[f27593,f2805]) ).
thf(f27608,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_50
| ~ spl0_64
| spl0_77 ),
inference(constrained_superposition,[],[f27602,f3828]) ).
thf(f27622,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_50
| ~ spl0_64
| spl0_77 ),
inference(duplicate_literal_removal,[],[f27608]) ).
thf(f27623,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_50
| ~ spl0_64
| spl0_77 ),
inference(trivial_inequality_removal,[],[f27622]) ).
thf(f27642,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_50
| ~ spl0_64
| spl0_77 ),
inference(constrained_superposition,[],[f27,f27623]) ).
thf(f27646,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_50
| ~ spl0_64
| spl0_77 ),
inference(trivial_inequality_removal,[],[f27642]) ).
thf(f27649,plain,
( spl0_373
| ~ spl0_50
| ~ spl0_64
| spl0_77 ),
inference(avatar_split_clause,[],[f27646,f2804,f2687,f2435,f18595]) ).
thf(f27717,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X1 )
| ( X0 = X1 ) )
| ~ spl0_373 ),
inference(constrained_superposition,[],[f18596,f37]) ).
thf(f27750,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) )
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f27717]) ).
thf(f27981,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( s @ z )
= X1 )
| ( X0 = X1 )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) )
| ~ spl0_50
| ~ spl0_64
| spl0_77
| ~ spl0_373 ),
inference(constrained_superposition,[],[f27750,f27623]) ).
thf(f28000,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( s @ z )
= X1 )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( X0 = X1 )
| ( z = X1 ) )
| ~ spl0_50
| ~ spl0_64
| spl0_77
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f27981]) ).
thf(f28157,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_255
| ~ spl0_323 ),
inference(forward_subsumption_resolution,[],[f13669,f11356]) ).
thf(f28160,plain,
( spl0_330
| ~ spl0_255
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f28157,f13159,f11355,f13295]) ).
thf(f28167,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_330 ),
inference(constrained_superposition,[],[f13296,f37]) ).
thf(f28172,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_330 ),
inference(trivial_inequality_removal,[],[f28167]) ).
thf(f28182,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_330 ),
inference(forward_subsumption_resolution,[],[f28172,f29]) ).
thf(f28185,plain,
( spl0_414
| spl0_330 ),
inference(avatar_split_clause,[],[f28182,f13295,f18862]) ).
thf(f28187,definition,
( spl0_1008
<=> ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1008])],[avatar_definition]) ).
thf(f28188,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_1008 ),
inference(avatar_component_clause,[],[f28187]) ).
thf(f28198,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_64
| ~ spl0_82
| spl0_172 ),
inference(constrained_superposition,[],[f8114,f27383]) ).
thf(f28201,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_50
| ~ spl0_64
| ~ spl0_82
| spl0_172 ),
inference(constrained_superposition,[],[f8114,f27384]) ).
thf(f28202,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_50
| ~ spl0_64
| spl0_77
| spl0_172 ),
inference(constrained_superposition,[],[f8114,f27623]) ).
thf(f28209,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_64
| ~ spl0_82
| spl0_172 ),
inference(trivial_inequality_removal,[],[f28198]) ).
thf(f28211,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_50
| ~ spl0_64
| ~ spl0_82
| spl0_172 ),
inference(trivial_inequality_removal,[],[f28201]) ).
thf(f28214,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_50
| ~ spl0_64
| spl0_77
| spl0_172 ),
inference(trivial_inequality_removal,[],[f28202]) ).
thf(f28217,plain,
( spl0_351
| ~ spl0_3
| ~ spl0_64
| ~ spl0_82
| spl0_172 ),
inference(avatar_split_clause,[],[f28209,f8113,f3116,f2687,f101,f18217]) ).
thf(f28219,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_50
| ~ spl0_64
| ~ spl0_82
| spl0_172 ),
inference(forward_subsumption_resolution,[],[f28211,f29]) ).
thf(f28223,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_50
| ~ spl0_64
| spl0_68
| spl0_77
| spl0_172 ),
inference(forward_subsumption_resolution,[],[f28214,f7967]) ).
thf(f28227,plain,
( spl0_351
| ~ spl0_50
| ~ spl0_64
| ~ spl0_82
| spl0_172 ),
inference(avatar_split_clause,[],[f28219,f8113,f3116,f2687,f2435,f18217]) ).
thf(f28229,plain,
( $false
| ~ spl0_50
| ~ spl0_64
| spl0_68
| spl0_77
| spl0_172 ),
inference(forward_subsumption_resolution,[],[f28223,f29]) ).
thf(f28230,plain,
( ~ spl0_50
| ~ spl0_64
| spl0_68
| spl0_77
| spl0_172 ),
inference(avatar_contradiction_clause,[],[f28229]) ).
thf(f28236,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_64
| ~ spl0_173 ),
inference(constrained_superposition,[],[f26613,f8118]) ).
thf(f28243,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_50
| ~ spl0_173 ),
inference(constrained_superposition,[],[f3824,f8118]) ).
thf(f28247,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_50
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f28243]) ).
thf(f28261,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_64
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f28236]) ).
thf(f28262,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_50
| ~ spl0_173
| spl0_174 ),
inference(forward_subsumption_resolution,[],[f28247,f13110]) ).
thf(f28271,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_64
| spl0_68
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f28261,f7967]) ).
thf(f28272,plain,
( spl0_175
| ~ spl0_50
| ~ spl0_173
| spl0_174 ),
inference(avatar_split_clause,[],[f28262,f8152,f8117,f2435,f8155]) ).
thf(f28274,plain,
( spl0_166
| ~ spl0_64
| spl0_68
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f28271,f8117,f2703,f2687,f8088]) ).
thf(f28415,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f45,f9030]) ).
thf(f28429,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f28415]) ).
thf(f28554,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f26,f18863]) ).
thf(f28559,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f28554]) ).
thf(f28576,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_164 ),
inference(constrained_superposition,[],[f26,f8082]) ).
thf(f28586,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f28576]) ).
thf(f28734,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_235
| ~ spl0_324 ),
inference(constrained_superposition,[],[f10283,f13163]) ).
thf(f28762,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_235
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f28734]) ).
thf(f28803,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_327 ),
inference(avatar_component_clause,[],[f13241]) ).
thf(f28805,plain,
( ~ spl0_327
| ~ spl0_235
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f28762,f13162,f10282,f13241]) ).
thf(f28902,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| spl0_66
| ~ spl0_137
| ~ spl0_325 ),
inference(constrained_superposition,[],[f27234,f13167]) ).
thf(f28907,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_50
| ~ spl0_64
| ~ spl0_82
| ~ spl0_325 ),
inference(constrained_superposition,[],[f27404,f13167]) ).
thf(f28919,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_50
| ~ spl0_64
| ~ spl0_82
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f28907]) ).
thf(f28923,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| spl0_66
| ~ spl0_137
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f28902]) ).
thf(f28931,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_50
| ~ spl0_64
| ~ spl0_82
| ~ spl0_172
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f28919,f9112]) ).
thf(f28933,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| spl0_66
| ~ spl0_137
| ~ spl0_172
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f28923,f9112]) ).
thf(f28937,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_50
| ~ spl0_64
| ~ spl0_82
| ~ spl0_172
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f28931,f29]) ).
thf(f28939,plain,
( spl0_441
| ~ spl0_2
| spl0_66
| ~ spl0_137
| ~ spl0_172
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f28933,f13166,f8113,f7355,f2696,f97,f20290]) ).
thf(f28941,plain,
( spl0_441
| ~ spl0_50
| ~ spl0_64
| ~ spl0_82
| ~ spl0_172
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f28937,f13166,f8113,f3116,f2687,f2435,f20290]) ).
thf(f29134,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_50
| ~ spl0_64
| spl0_77
| ~ spl0_164
| ~ spl0_373 ),
inference(constrained_superposition,[],[f28586,f28000]) ).
thf(f29155,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_50
| ~ spl0_64
| spl0_77
| ~ spl0_164
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f29134]) ).
thf(f29158,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z = X0 ) )
| ~ spl0_50
| ~ spl0_64
| spl0_77
| ~ spl0_164
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f29155,f29]) ).
thf(f29160,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_50
| ~ spl0_64
| spl0_77
| ~ spl0_164
| spl0_174
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f29158,f13110]) ).
thf(f29162,plain,
( spl0_317
| ~ spl0_50
| ~ spl0_64
| spl0_77
| ~ spl0_164
| spl0_174
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f29160,f18595,f8152,f8081,f2804,f2687,f2435,f12777]) ).
thf(f29416,definition,
( spl0_1014
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1014])],[avatar_definition]) ).
thf(f29417,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_1014 ),
inference(avatar_component_clause,[],[f29416]) ).
thf(f29422,definition,
( spl0_1015
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1015])],[avatar_definition]) ).
thf(f29423,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1015 ),
inference(avatar_component_clause,[],[f29422]) ).
thf(f29433,plain,
( ~ spl0_1
| spl0_179
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f28429,f9029,f8297,f94]) ).
thf(f29481,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_66
| ~ spl0_137 ),
inference(constrained_superposition,[],[f7356,f2697]) ).
thf(f29484,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f374,f2697]) ).
thf(f29486,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f64,f2697]) ).
thf(f29492,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f29486]) ).
thf(f29493,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f29484]) ).
thf(f29497,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_66
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f29481]) ).
thf(f29499,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f65,f3004]) ).
thf(f29503,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f29499]) ).
thf(f29506,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_64
| ~ spl0_331 ),
inference(constrained_superposition,[],[f3652,f13329]) ).
thf(f29509,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_64
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f29506]) ).
thf(f29607,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f27,f18475]) ).
thf(f29614,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f29607]) ).
thf(f29653,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_436 ),
inference(constrained_superposition,[],[f19540,f37]) ).
thf(f29672,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f29653]) ).
thf(f29681,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f321,f8542]) ).
thf(f29682,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f89,f8542]) ).
thf(f29686,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f45,f8542]) ).
thf(f29691,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f29686]) ).
thf(f29693,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f29682]) ).
thf(f29702,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f29681]) ).
thf(f29704,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f321,f13151]) ).
thf(f29720,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f29704]) ).
thf(f29786,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f374,f8079]) ).
thf(f29788,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f43,f8079]) ).
thf(f29792,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f27,f8079]) ).
thf(f29795,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f29792]) ).
thf(f29796,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f29788]) ).
thf(f29797,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f29786]) ).
thf(f29840,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f8226]) ).
thf(f29841,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_189 ),
inference(avatar_component_clause,[],[f8945]) ).
thf(f29908,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_332 ),
inference(constrained_superposition,[],[f26,f13356]) ).
thf(f29911,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f29908]) ).
thf(f29968,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f374,f13163]) ).
thf(f29974,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f27,f13163]) ).
thf(f29979,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f29968]) ).
thf(f29984,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f29974]) ).
thf(f29986,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_325 ),
inference(constrained_superposition,[],[f159,f13167]) ).
thf(f29994,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f29986]) ).
thf(f30004,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_163
| ~ spl0_368 ),
inference(constrained_superposition,[],[f29614,f8079]) ).
thf(f30028,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_163
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f30004]) ).
thf(f30035,plain,
( $false
| ~ spl0_163
| ~ spl0_175
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f30028,f8156]) ).
thf(f30036,plain,
( ~ spl0_163
| ~ spl0_175
| ~ spl0_368 ),
inference(avatar_contradiction_clause,[],[f30035]) ).
thf(f30113,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_357 ),
inference(constrained_superposition,[],[f18399,f58]) ).
thf(f30120,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f30113]) ).
thf(f30167,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f29795,f59]) ).
thf(f30168,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_50
| ~ spl0_163 ),
inference(constrained_superposition,[],[f29795,f3883]) ).
thf(f30174,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_163
| ~ spl0_179 ),
inference(constrained_superposition,[],[f29795,f8298]) ).
thf(f30181,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_163
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f30174]) ).
thf(f30183,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f30167]) ).
thf(f30190,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_50
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f30168]) ).
thf(f30196,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_332 ),
inference(constrained_superposition,[],[f29911,f58]) ).
thf(f30203,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f30196]) ).
thf(f30223,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_324
| ~ spl0_328 ),
inference(constrained_superposition,[],[f29984,f13248]) ).
thf(f30239,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_324
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f30223]) ).
thf(f30254,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_414
| ~ spl0_1014 ),
inference(constrained_superposition,[],[f28559,f29417]) ).
thf(f30275,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_414
| ~ spl0_1014 ),
inference(trivial_inequality_removal,[],[f30254]) ).
thf(f30281,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_414
| ~ spl0_1014 ),
inference(forward_subsumption_resolution,[],[f30275,f29]) ).
thf(f30285,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_50
| ~ spl0_414
| ~ spl0_1014 ),
inference(forward_subsumption_resolution,[],[f30281,f2436]) ).
thf(f30287,plain,
( spl0_178
| spl0_187
| ~ spl0_50
| ~ spl0_414
| ~ spl0_1014 ),
inference(avatar_split_clause,[],[f30285,f29416,f18862,f2435,f8879,f8291]) ).
thf(f30700,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_166 ),
inference(avatar_component_clause,[],[f8088]) ).
thf(f34633,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_50
| ~ spl0_67 ),
inference(constrained_superposition,[],[f26689,f3947]) ).
thf(f34640,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_50
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f34633]) ).
thf(f34650,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_50
| ~ spl0_67
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f34640,f29672]) ).
thf(f34686,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_50
| ~ spl0_67
| ~ spl0_436 ),
inference(constrained_superposition,[],[f26,f34650]) ).
thf(f34705,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_50
| ~ spl0_67
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f34686]) ).
thf(f35008,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_50
| ~ spl0_67
| ~ spl0_169
| ~ spl0_436 ),
inference(constrained_superposition,[],[f34705,f8101]) ).
thf(f35009,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_50
| ~ spl0_67
| ~ spl0_183
| ~ spl0_436 ),
inference(constrained_superposition,[],[f34705,f13151]) ).
thf(f35025,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_50
| ~ spl0_67
| ~ spl0_183
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f35009]) ).
thf(f35026,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_50
| ~ spl0_67
| ~ spl0_169
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f35008]) ).
thf(f35043,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_50
| ~ spl0_67
| ~ spl0_169
| ~ spl0_436 ),
inference(constrained_superposition,[],[f35026,f442]) ).
thf(f35047,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_50
| ~ spl0_67
| ~ spl0_169
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f35043]) ).
thf(f35060,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_50
| ~ spl0_67
| ~ spl0_183
| ~ spl0_436 ),
inference(constrained_superposition,[],[f35025,f442]) ).
thf(f35064,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_50
| ~ spl0_67
| ~ spl0_183
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f35060]) ).
thf(f35068,definition,
( spl0_1024
<=> ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1024])],[avatar_definition]) ).
thf(f35069,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_1024 ),
inference(avatar_component_clause,[],[f35068]) ).
thf(f35070,plain,
( spl0_177
| spl0_1024
| ~ spl0_50
| ~ spl0_67
| ~ spl0_183
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f35064,f19539,f8598,f2700,f2435,f35068,f8276]) ).
thf(f35090,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_414
| ~ spl0_1024 ),
inference(constrained_superposition,[],[f28559,f35069]) ).
thf(f35105,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_414
| ~ spl0_1024 ),
inference(trivial_inequality_removal,[],[f35090]) ).
thf(f35121,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_50
| ~ spl0_414
| ~ spl0_1024 ),
inference(forward_subsumption_resolution,[],[f35105,f2436]) ).
thf(f35129,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_50
| ~ spl0_414
| ~ spl0_1024 ),
inference(forward_subsumption_resolution,[],[f35121,f29]) ).
thf(f35132,plain,
( spl0_350
| spl0_178
| ~ spl0_50
| ~ spl0_414
| ~ spl0_1024 ),
inference(avatar_split_clause,[],[f35129,f35068,f18862,f2435,f8291,f17969]) ).
thf(f35163,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_175 ),
inference(avatar_component_clause,[],[f8155]) ).
thf(f35168,plain,
( ~ spl0_185
| ~ spl0_324
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f30239,f13247,f13162,f8605]) ).
thf(f35188,plain,
( spl0_177
| ~ spl0_172
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f29796,f8078,f8113,f8276]) ).
thf(f35201,plain,
( spl0_255
| ~ spl0_330
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f29979,f13162,f13295,f11355]) ).
thf(f35205,plain,
( spl0_173
| spl0_1014
| ~ spl0_50
| ~ spl0_67
| ~ spl0_169
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f35047,f19539,f8100,f2700,f2435,f29416,f8117]) ).
thf(f35213,plain,
( ~ spl0_185
| ~ spl0_163
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f30181,f8297,f8078,f8605]) ).
thf(f35248,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_186 ),
inference(avatar_component_clause,[],[f8615]) ).
thf(f35296,plain,
( spl0_191
| ~ spl0_186
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f30183,f8078,f8615,f9033]) ).
thf(f35298,plain,
( ~ spl0_175
| spl0_190
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f29797,f8078,f9029,f8155]) ).
thf(f35303,plain,
( ~ spl0_186
| spl0_179
| spl0_178
| ~ spl0_50
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f30190,f8078,f2435,f8291,f8297,f8615]) ).
thf(f35307,plain,
( ~ spl0_175
| spl0_404
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f29994,f13166,f18807,f8155]) ).
thf(f35394,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_173
| ~ spl0_1024 ),
inference(constrained_superposition,[],[f18961,f35069]) ).
thf(f35400,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_173
| ~ spl0_1024 ),
inference(trivial_inequality_removal,[],[f35394]) ).
thf(f35401,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_173
| ~ spl0_1024 ),
inference(forward_subsumption_resolution,[],[f35400,f32]) ).
thf(f35402,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_68
| spl0_173
| ~ spl0_1024 ),
inference(forward_subsumption_resolution,[],[f35401,f7967]) ).
thf(f35403,plain,
( $false
| spl0_68
| spl0_173
| ~ spl0_1024 ),
inference(forward_subsumption_resolution,[],[f35402,f29]) ).
thf(f35404,plain,
( spl0_68
| spl0_173
| ~ spl0_1024 ),
inference(avatar_contradiction_clause,[],[f35403]) ).
thf(f35408,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f321,f8277]) ).
thf(f35409,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f89,f8277]) ).
thf(f35424,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f35409]) ).
thf(f35429,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f35408]) ).
thf(f35446,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_255 ),
inference(constrained_superposition,[],[f45,f11356]) ).
thf(f35447,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_255 ),
inference(constrained_superposition,[],[f54,f11356]) ).
thf(f35454,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f35446]) ).
thf(f35455,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f35447]) ).
thf(f35489,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_175 ),
inference(constrained_superposition,[],[f35163,f69]) ).
thf(f35495,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_175 ),
inference(trivial_inequality_removal,[],[f35489]) ).
thf(f35522,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_186 ),
inference(constrained_superposition,[],[f35248,f69]) ).
thf(f35530,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_186 ),
inference(trivial_inequality_removal,[],[f35522]) ).
thf(f35541,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163
| ~ spl0_350 ),
inference(constrained_superposition,[],[f8079,f17970]) ).
thf(f35653,plain,
( $false
| ~ spl0_163
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f35541,f31]) ).
thf(f35654,plain,
( ~ spl0_163
| ~ spl0_350 ),
inference(avatar_contradiction_clause,[],[f35653]) ).
thf(f35665,plain,
( spl0_77
| ~ spl0_4
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f29493,f2696,f105,f2804]) ).
thf(f35669,definition,
( spl0_1036
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( r @ z @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1036])],[avatar_definition]) ).
thf(f35670,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_1036 ),
inference(avatar_component_clause,[],[f35669]) ).
thf(f35673,plain,
( ~ spl0_1
| spl0_185
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f35454,f11355,f8605,f94]) ).
thf(f35674,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_186 ),
inference(forward_subsumption_resolution,[],[f35530,f29]) ).
thf(f35680,plain,
( ~ spl0_59
| spl0_368
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f29702,f8541,f18474,f2663]) ).
thf(f35686,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_174
| spl0_175 ),
inference(forward_subsumption_resolution,[],[f35495,f13110]) ).
thf(f35692,definition,
( spl0_1039
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1039])],[avatar_definition]) ).
thf(f35693,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_1039 ),
inference(avatar_component_clause,[],[f35692]) ).
thf(f35698,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f35455,f29]) ).
thf(f35703,plain,
( spl0_67
| ~ spl0_191
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f29720,f8598,f9033,f2700]) ).
thf(f35706,plain,
( ~ spl0_4
| ~ spl0_66
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f29497,f7355,f2696,f105]) ).
thf(f35707,plain,
( ~ spl0_59
| spl0_189
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f29693,f8541,f8945,f2663]) ).
thf(f35709,plain,
( ~ spl0_77
| spl0_330
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f30203,f13355,f13295,f2804]) ).
thf(f35710,plain,
( ~ spl0_50
| spl0_368
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f35429,f8276,f18474,f2435]) ).
thf(f35720,plain,
( spl0_189
| ~ spl0_77
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f30120,f18398,f2804,f8945]) ).
thf(f35722,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_64
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f8061,f3652]) ).
thf(f35723,plain,
( ~ spl0_50
| spl0_189
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f35424,f8276,f8945,f2435]) ).
thf(f35726,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_64
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f8062,f3652]) ).
thf(f35729,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_174
| spl0_186 ),
inference(forward_subsumption_resolution,[],[f35674,f13110]) ).
thf(f35732,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_174
| spl0_175 ),
inference(forward_subsumption_resolution,[],[f35686,f29]) ).
thf(f35739,plain,
( spl0_172
| spl0_4
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f35698,f11355,f105,f8113]) ).
thf(f35742,plain,
( spl0_173
| spl0_168
| spl0_64
| spl0_68 ),
inference(avatar_split_clause,[],[f35722,f2703,f2687,f8095,f8117]) ).
thf(f35744,plain,
( spl0_173
| spl0_169
| spl0_64
| spl0_68 ),
inference(avatar_split_clause,[],[f35726,f2703,f2687,f8100,f8117]) ).
thf(f35745,plain,
( spl0_185
| spl0_4
| spl0_174
| spl0_186 ),
inference(avatar_split_clause,[],[f35729,f8615,f8152,f105,f8605]) ).
thf(f35746,plain,
( spl0_185
| spl0_4
| spl0_174
| spl0_175 ),
inference(avatar_split_clause,[],[f35732,f8155,f8152,f105,f8605]) ).
thf(f35760,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_66 ),
inference(constrained_superposition,[],[f29492,f106]) ).
thf(f35762,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f64,f106]) ).
thf(f35764,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f27,f106]) ).
thf(f35765,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f35764]) ).
thf(f35766,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_4
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f35760]) ).
thf(f35769,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f35762]) ).
thf(f35770,plain,
( spl0_98
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f35765,f105,f5066]) ).
thf(f35771,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_4
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f35766,f29]) ).
thf(f35772,plain,
( spl0_59
| ~ spl0_4
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f35771,f2696,f105,f2663]) ).
thf(f35773,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f65,f2738]) ).
thf(f35777,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f27,f2738]) ).
thf(f35781,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f35777]) ).
thf(f35782,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f35773]) ).
thf(f35785,plain,
( spl0_98
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f35781,f166,f5066]) ).
thf(f35798,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f26,f3010]) ).
thf(f35808,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f35798]) ).
thf(f35876,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_98 ),
inference(constrained_superposition,[],[f5067,f37]) ).
thf(f35884,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f35876]) ).
thf(f35890,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_139
| ~ spl0_166 ),
inference(constrained_superposition,[],[f7375,f8089]) ).
thf(f35901,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_139
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f35890]) ).
thf(f35906,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_139
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f35901,f29]) ).
thf(f35908,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_139
| ~ spl0_166
| spl0_174 ),
inference(forward_subsumption_resolution,[],[f35906,f13110]) ).
thf(f35910,plain,
( $false
| ~ spl0_139
| ~ spl0_166
| spl0_174
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f35908,f13115]) ).
thf(f35911,plain,
( ~ spl0_139
| ~ spl0_166
| spl0_174
| spl0_185 ),
inference(avatar_contradiction_clause,[],[f35910]) ).
thf(f35961,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_327 ),
inference(constrained_superposition,[],[f28803,f35]) ).
thf(f35964,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_327 ),
inference(trivial_inequality_removal,[],[f35961]) ).
thf(f35967,plain,
( spl0_335
| spl0_327 ),
inference(avatar_split_clause,[],[f35964,f13241,f13644]) ).
thf(f36116,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_64
| spl0_68
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f29509,f7967]) ).
thf(f36118,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_179
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f29691,f26451]) ).
thf(f36126,plain,
( spl0_66
| spl0_64
| spl0_68
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f36116,f13328,f2703,f2687,f2696]) ).
thf(f36127,plain,
( ~ spl0_57
| spl0_179
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f36118,f8541,f8297,f2655]) ).
thf(f36137,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_66 ),
inference(constrained_superposition,[],[f18434,f255]) ).
thf(f36138,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_66 ),
inference(constrained_superposition,[],[f18434,f79]) ).
thf(f36140,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| spl0_66 ),
inference(trivial_inequality_removal,[],[f36137]) ).
thf(f36142,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_66 ),
inference(trivial_inequality_removal,[],[f36138]) ).
thf(f36143,plain,
( spl0_1036
| spl0_66 ),
inference(avatar_split_clause,[],[f36140,f2696,f35669]) ).
thf(f36145,plain,
( spl0_1039
| spl0_66 ),
inference(avatar_split_clause,[],[f36142,f2696,f35692]) ).
thf(f36146,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f159,f8606]) ).
thf(f36155,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f36146]) ).
thf(f36183,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_163
| ~ spl0_188 ),
inference(constrained_superposition,[],[f29795,f8883]) ).
thf(f36195,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_163
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f36183]) ).
thf(f36200,plain,
( ~ spl0_166
| ~ spl0_163
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f36195,f8882,f8078,f8088]) ).
thf(f36201,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f36155,f106]) ).
thf(f36203,plain,
( spl0_176
| ~ spl0_4
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f36201,f8605,f105,f8226]) ).
thf(f36231,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_98
| ~ spl0_175 ),
inference(constrained_superposition,[],[f5067,f8156]) ).
thf(f36232,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f43,f8156]) ).
thf(f36238,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_98
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f36231]) ).
thf(f36239,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f36232]) ).
thf(f36275,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_176 ),
inference(constrained_superposition,[],[f8227,f28]) ).
thf(f36277,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_176 ),
inference(trivial_inequality_removal,[],[f36275]) ).
thf(f36278,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_174
| spl0_176 ),
inference(forward_subsumption_resolution,[],[f36277,f13110]) ).
thf(f36279,plain,
( spl0_186
| spl0_174
| spl0_176 ),
inference(avatar_split_clause,[],[f36278,f8226,f8152,f8615]) ).
thf(f36340,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_189 ),
inference(constrained_superposition,[],[f29841,f37]) ).
thf(f36345,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_189 ),
inference(trivial_inequality_removal,[],[f36340]) ).
thf(f36347,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_189 ),
inference(forward_subsumption_resolution,[],[f36345,f29]) ).
thf(f36348,plain,
( spl0_190
| spl0_189 ),
inference(avatar_split_clause,[],[f36347,f8945,f9029]) ).
thf(f36359,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f26,f9030]) ).
thf(f36361,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f36359]) ).
thf(f36410,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_77
| ~ spl0_79 ),
inference(constrained_superposition,[],[f35808,f29503]) ).
thf(f36423,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_77
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f36410]) ).
thf(f36425,plain,
( spl0_81
| ~ spl0_77
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f36423,f3003,f2804,f3086]) ).
thf(f36689,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_163
| ~ spl0_322 ),
inference(constrained_superposition,[],[f13154,f8079]) ).
thf(f36698,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_163
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f36689]) ).
thf(f36983,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f3087,f442]) ).
thf(f36992,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_81 ),
inference(duplicate_literal_removal,[],[f36983]) ).
thf(f36993,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( b @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f36992]) ).
thf(f36995,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| spl0_50
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f36993,f2457]) ).
thf(f36996,plain,
( spl0_89
| spl0_50
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f36995,f3086,f2435,f3799]) ).
thf(f37012,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( s @ X0 )
= X1 )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_89 ),
inference(constrained_superposition,[],[f41,f3800]) ).
thf(f37022,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= X1 )
| ( z = X0 ) )
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f37012]) ).
thf(f37171,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_89 ),
inference(constrained_superposition,[],[f37022,f28]) ).
thf(f37183,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f37171]) ).
thf(f37187,plain,
( spl0_403
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f37183,f3799,f18803]) ).
thf(f37193,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_166
| ~ spl0_1036 ),
inference(constrained_superposition,[],[f30700,f35670]) ).
thf(f37210,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_166
| ~ spl0_1036 ),
inference(trivial_inequality_removal,[],[f37193]) ).
thf(f37225,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_166
| spl0_185
| ~ spl0_1036 ),
inference(forward_subsumption_resolution,[],[f37210,f13115]) ).
thf(f37227,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_166
| spl0_185
| ~ spl0_1036 ),
inference(forward_subsumption_resolution,[],[f37225,f29]) ).
thf(f37229,plain,
( spl0_351
| spl0_166
| spl0_185
| ~ spl0_1036 ),
inference(avatar_split_clause,[],[f37227,f35669,f8605,f8088,f18217]) ).
thf(f37237,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_163
| ~ spl0_322
| ~ spl0_1039 ),
inference(constrained_superposition,[],[f36698,f35693]) ).
thf(f37243,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_163
| ~ spl0_322
| ~ spl0_1039 ),
inference(trivial_inequality_removal,[],[f37237]) ).
thf(f37249,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_163
| ~ spl0_322
| ~ spl0_1039 ),
inference(forward_subsumption_resolution,[],[f37243,f29]) ).
thf(f37250,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_163
| spl0_172
| ~ spl0_322
| ~ spl0_1039 ),
inference(forward_subsumption_resolution,[],[f37249,f8114]) ).
thf(f37251,plain,
( spl0_351
| ~ spl0_163
| spl0_172
| ~ spl0_322
| ~ spl0_1039 ),
inference(avatar_split_clause,[],[f37250,f35692,f13153,f8113,f8078,f18217]) ).
thf(f37580,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_322
| ~ spl0_403 ),
inference(constrained_superposition,[],[f13154,f18804]) ).
thf(f37601,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_322
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f37580]) ).
thf(f37610,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_322
| ~ spl0_403
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f37601,f19540]) ).
thf(f37617,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| spl0_174
| ~ spl0_322
| ~ spl0_403
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f37610,f13110]) ).
thf(f37627,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| spl0_174
| ~ spl0_322
| ~ spl0_403
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f37617,f29]) ).
thf(f37642,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_174
| ~ spl0_322
| ~ spl0_403
| ~ spl0_419
| ~ spl0_436 ),
inference(constrained_superposition,[],[f37627,f18913]) ).
thf(f37652,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_174
| ~ spl0_322
| ~ spl0_403
| ~ spl0_419
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f37642]) ).
thf(f37655,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_174
| ~ spl0_322
| ~ spl0_403
| ~ spl0_419
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f37652,f29]) ).
thf(f37656,plain,
( spl0_1002
| spl0_174
| ~ spl0_322
| ~ spl0_403
| ~ spl0_419
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f37655,f19539,f18912,f18803,f13153,f8152,f26333]) ).
thf(f37679,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_50
| ~ spl0_175 ),
inference(forward_subsumption_resolution,[],[f36239,f2457]) ).
thf(f37688,plain,
( ~ spl0_172
| ~ spl0_98
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f36238,f8155,f5066,f8113]) ).
thf(f37698,plain,
( ~ spl0_172
| spl0_50
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f37679,f8155,f2435,f8113]) ).
thf(f37706,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f329,f2688]) ).
thf(f37707,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
!= $true ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f50,f2688]) ).
thf(f37711,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f55,f2688]) ).
thf(f37712,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f41,f2688]) ).
thf(f37714,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f37706]) ).
thf(f37717,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f37712]) ).
thf(f37723,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f37707]) ).
thf(f37724,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f37711]) ).
thf(f37725,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f37714,f29]) ).
thf(f37729,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| spl0_79 ),
inference(constrained_superposition,[],[f26567,f68]) ).
thf(f37732,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 ) )
| spl0_79 ),
inference(trivial_inequality_removal,[],[f37729]) ).
thf(f37734,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f37732,f29]) ).
thf(f37735,plain,
( spl0_1039
| spl0_79 ),
inference(avatar_split_clause,[],[f37734,f3003,f35692]) ).
thf(f37777,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f159,f8298]) ).
thf(f37788,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f37777]) ).
thf(f37791,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_4
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f37788,f106]) ).
thf(f37792,plain,
( spl0_191
| ~ spl0_4
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f37791,f8297,f105,f9033]) ).
thf(f37795,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_98
| ~ spl0_172 ),
inference(constrained_superposition,[],[f35884,f9112]) ).
thf(f37803,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_98
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f37795]) ).
thf(f37805,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_98
| ~ spl0_172 ),
inference(forward_subsumption_resolution,[],[f37803,f29]) ).
thf(f37807,plain,
( spl0_255
| ~ spl0_98
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f37805,f8113,f5066,f11355]) ).
thf(f37812,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_255 ),
inference(constrained_superposition,[],[f2647,f11356]) ).
thf(f37834,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f37812]) ).
thf(f37921,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_191 ),
inference(constrained_superposition,[],[f26516,f28]) ).
thf(f37923,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_191 ),
inference(trivial_inequality_removal,[],[f37921]) ).
thf(f37926,plain,
( spl0_178
| spl0_368
| spl0_191 ),
inference(avatar_split_clause,[],[f37923,f9033,f18474,f8291]) ).
thf(f37961,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f43,f18475]) ).
thf(f37968,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f37961]) ).
thf(f38019,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_404 ),
inference(constrained_superposition,[],[f18919,f28]) ).
thf(f38020,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_404 ),
inference(trivial_inequality_removal,[],[f38019]) ).
thf(f38024,plain,
( spl0_329
| spl0_405
| spl0_404 ),
inference(avatar_split_clause,[],[f38020,f18807,f18811,f13251]) ).
thf(f38059,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_235
| ~ spl0_405 ),
inference(constrained_superposition,[],[f10283,f18812]) ).
thf(f38068,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_235
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f38059]) ).
thf(f38080,plain,
( $false
| ~ spl0_6
| ~ spl0_235
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f38068,f2738]) ).
thf(f38081,plain,
( ~ spl0_6
| ~ spl0_235
| ~ spl0_405 ),
inference(avatar_contradiction_clause,[],[f38080]) ).
thf(f38107,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_164
| ~ spl0_305 ),
inference(constrained_superposition,[],[f12648,f8082]) ).
thf(f38118,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_164
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f38107]) ).
thf(f38131,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_68
| ~ spl0_164
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f38118,f7967]) ).
thf(f38132,plain,
( ~ spl0_184
| spl0_68
| ~ spl0_164
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f38131,f12647,f8081,f2703,f8602]) ).
thf(f38133,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_171
| ~ spl0_190 ),
inference(constrained_superposition,[],[f36361,f8108]) ).
thf(f38150,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_171
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f38133]) ).
thf(f38161,plain,
( $false
| ~ spl0_171
| ~ spl0_176
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f38150,f29840]) ).
thf(f38162,plain,
( ~ spl0_171
| ~ spl0_176
| ~ spl0_190 ),
inference(avatar_contradiction_clause,[],[f38161]) ).
thf(f38172,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f27,f8105]) ).
thf(f38177,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f38172]) ).
thf(f38192,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_258 ),
inference(constrained_superposition,[],[f11408,f442]) ).
thf(f38209,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f38192]) ).
thf(f38297,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f37968,f2738]) ).
thf(f38300,plain,
( spl0_1008
| spl0_173
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f38209,f11407,f8117,f28187]) ).
thf(f38311,plain,
( spl0_177
| ~ spl0_6
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f38297,f18474,f166,f8276]) ).
thf(f38324,plain,
( spl0_182
| ~ spl0_77
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f37834,f11355,f2804,f8595]) ).
thf(f38404,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f2647,f8277]) ).
thf(f38417,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f38404]) ).
thf(f38426,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_64
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f38417,f2688]) ).
thf(f38427,plain,
( spl0_194
| ~ spl0_64
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f38426,f8276,f2687,f9426]) ).
thf(f38560,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f159,f9427]) ).
thf(f38561,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f374,f9427]) ).
thf(f38568,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f38561]) ).
thf(f38569,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f38560]) ).
thf(f38572,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f159,f8883]) ).
thf(f38573,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f374,f8883]) ).
thf(f38579,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f38572]) ).
thf(f38583,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f38573]) ).
thf(f38638,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f2647,f18863]) ).
thf(f38659,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f38638]) ).
thf(f38769,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f27,f13163]) ).
thf(f38775,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f38769]) ).
thf(f38789,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f8086,f442]) ).
thf(f38808,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f38789]) ).
thf(f38811,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_165
| spl0_173 ),
inference(forward_subsumption_resolution,[],[f38808,f18961]) ).
thf(f38812,plain,
( spl0_1015
| ~ spl0_165
| spl0_173 ),
inference(avatar_split_clause,[],[f38811,f8117,f8085,f29422]) ).
thf(f38841,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_322 ),
inference(constrained_superposition,[],[f13154,f59]) ).
thf(f38848,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f38841]) ).
thf(f38882,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_177
| ~ spl0_357 ),
inference(constrained_superposition,[],[f18399,f8277]) ).
thf(f38895,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_177
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f38882]) ).
thf(f38900,plain,
( $false
| ~ spl0_64
| ~ spl0_177
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f38895,f2688]) ).
thf(f38901,plain,
( ~ spl0_64
| ~ spl0_177
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f38900]) ).
thf(f39177,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f374,f37724]) ).
thf(f39187,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f39177]) ).
thf(f39196,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_53
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f39187,f2450]) ).
thf(f39310,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_1039 ),
inference(constrained_superposition,[],[f159,f35693]) ).
thf(f39325,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_1039 ),
inference(trivial_inequality_removal,[],[f39310]) ).
thf(f39328,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_98
| ~ spl0_1039 ),
inference(forward_subsumption_resolution,[],[f39325,f5067]) ).
thf(f39381,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f37723,f28]) ).
thf(f39388,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= z )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f39381]) ).
thf(f39393,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f39388,f29]) ).
thf(f39394,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_324
| ~ spl0_440 ),
inference(constrained_superposition,[],[f38775,f20288]) ).
thf(f39406,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_324
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f39394]) ).
thf(f39437,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f374,f37725]) ).
thf(f39445,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f39437]) ).
thf(f39452,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_64
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f39445,f5067]) ).
thf(f39455,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_64
| spl0_77
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f39452,f2805]) ).
thf(f39457,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_64
| spl0_77
| ~ spl0_98 ),
inference(constrained_superposition,[],[f39455,f37]) ).
thf(f39460,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_64
| spl0_77
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f39457]) ).
thf(f39481,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_64
| spl0_77
| ~ spl0_98 ),
inference(constrained_superposition,[],[f26,f39460]) ).
thf(f39488,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true ) )
| ~ spl0_64
| spl0_77
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f39481]) ).
thf(f39501,plain,
( spl0_96
| ~ spl0_64
| spl0_77
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f39488,f5066,f2804,f2687,f5035]) ).
thf(f39502,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
!= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X1 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_96 ),
inference(constrained_superposition,[],[f5036,f35782]) ).
thf(f39514,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X1 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f39502]) ).
thf(f39563,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f374,f39393]) ).
thf(f39577,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f39563]) ).
thf(f39586,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_53
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f39577,f2450]) ).
thf(f39587,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_53
| ~ spl0_64
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f39586,f3117]) ).
thf(f39606,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_53
| ~ spl0_64
| ~ spl0_82 ),
inference(constrained_superposition,[],[f26,f39587]) ).
thf(f39609,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_53
| ~ spl0_64
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f39606]) ).
thf(f39626,plain,
( spl0_100
| ~ spl0_53
| ~ spl0_64
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f39609,f3116,f2687,f2449,f5080]) ).
thf(f39688,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_6
| ~ spl0_1008 ),
inference(constrained_superposition,[],[f28188,f35782]) ).
thf(f39692,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_5
| ~ spl0_1008 ),
inference(constrained_superposition,[],[f28188,f164]) ).
thf(f39694,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_1008 ),
inference(duplicate_literal_removal,[],[f39688]) ).
thf(f39695,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_1008 ),
inference(trivial_inequality_removal,[],[f39694]) ).
thf(f39700,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_5
| ~ spl0_1008 ),
inference(duplicate_literal_removal,[],[f39692]) ).
thf(f39701,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_1008 ),
inference(trivial_inequality_removal,[],[f39700]) ).
thf(f39721,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= X1 )
| ( $true != $true )
| ( z = X0 )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_6
| ~ spl0_1008 ),
inference(constrained_superposition,[],[f41,f39695]) ).
thf(f39738,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( z = X0 )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_6
| ~ spl0_1008 ),
inference(trivial_inequality_removal,[],[f39721]) ).
thf(f39749,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_5
| ~ spl0_1008 ),
inference(constrained_superposition,[],[f2647,f39701]) ).
thf(f39775,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_5
| ~ spl0_1008 ),
inference(trivial_inequality_removal,[],[f39749]) ).
thf(f39783,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_64
| ~ spl0_1008 ),
inference(forward_subsumption_resolution,[],[f39775,f2688]) ).
thf(f39844,definition,
( spl0_1057
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1057])],[avatar_definition]) ).
thf(f39845,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_1057 ),
inference(avatar_component_clause,[],[f39844]) ).
thf(f40012,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( z = X1 )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( b @ ( s @ X1 ) @ z ) ) )
| ~ spl0_6
| ~ spl0_96 ),
inference(constrained_superposition,[],[f39514,f442]) ).
thf(f40021,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( z = X1 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( $true != $true )
| ( X0 = X1 ) )
| ~ spl0_6
| ~ spl0_96 ),
inference(duplicate_literal_removal,[],[f40012]) ).
thf(f40022,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( z = X1 )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_6
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f40021]) ).
thf(f40217,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( z = X1 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_6
| ~ spl0_1008 ),
inference(constrained_superposition,[],[f39738,f28]) ).
thf(f40233,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_1008 ),
inference(trivial_inequality_removal,[],[f40217]) ).
thf(f41420,plain,
( spl0_1057
| ~ spl0_5
| ~ spl0_64
| ~ spl0_1008 ),
inference(avatar_split_clause,[],[f39783,f28187,f2687,f163,f39844]) ).
thf(f41432,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1057 ),
inference(constrained_superposition,[],[f27,f39845]) ).
thf(f41437,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1057 ),
inference(trivial_inequality_removal,[],[f41432]) ).
thf(f41464,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_325
| ~ spl0_1057 ),
inference(constrained_superposition,[],[f41437,f13167]) ).
thf(f41489,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_325
| ~ spl0_1057 ),
inference(trivial_inequality_removal,[],[f41464]) ).
thf(f42128,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1015 ),
inference(constrained_superposition,[],[f29423,f58]) ).
thf(f42132,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_1015 ),
inference(trivial_inequality_removal,[],[f42128]) ).
thf(f42517,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_82
| ~ spl0_356 ),
inference(constrained_superposition,[],[f18386,f3117]) ).
thf(f42533,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( z = X0 ) )
| ~ spl0_82
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f42517]) ).
thf(f42535,plain,
( spl0_139
| ~ spl0_82
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f42533,f18385,f3116,f7374]) ).
thf(f44524,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_170
| ~ spl0_1008 ),
inference(constrained_superposition,[],[f38177,f40233]) ).
thf(f44562,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_170
| ~ spl0_1008 ),
inference(trivial_inequality_removal,[],[f44524]) ).
thf(f44574,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_170
| ~ spl0_260
| ~ spl0_1008 ),
inference(forward_subsumption_resolution,[],[f44562,f11444]) ).
thf(f44583,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_170
| ~ spl0_260
| ~ spl0_1008 ),
inference(forward_subsumption_resolution,[],[f44574,f29]) ).
thf(f44594,definition,
( spl0_1077
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1077])],[avatar_definition]) ).
thf(f44595,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_1077 ),
inference(avatar_component_clause,[],[f44594]) ).
thf(f44596,plain,
( spl0_1077
| spl0_351
| ~ spl0_6
| ~ spl0_170
| ~ spl0_260
| ~ spl0_1008 ),
inference(avatar_split_clause,[],[f44583,f28187,f11443,f8104,f166,f18217,f44594]) ).
thf(f44603,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_324
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f44595,f13163]) ).
thf(f44627,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_324
| ~ spl0_1077 ),
inference(trivial_inequality_removal,[],[f44603]) ).
thf(f44634,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_324
| ~ spl0_1077 ),
inference(forward_subsumption_resolution,[],[f44627,f29]) ).
thf(f44639,plain,
( spl0_1002
| ~ spl0_324
| ~ spl0_1077 ),
inference(avatar_split_clause,[],[f44634,f44594,f13162,f26333]) ).
thf(f44643,plain,
( ~ spl0_189
| spl0_59
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f38569,f9426,f2663,f8945]) ).
thf(f44644,plain,
( spl0_191
| ~ spl0_67
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f38848,f13153,f2700,f9033]) ).
thf(f44651,plain,
( spl0_187
| ~ spl0_182
| ~ spl0_325
| ~ spl0_1057 ),
inference(avatar_split_clause,[],[f41489,f39844,f13166,f8595,f8879]) ).
thf(f44658,plain,
( ~ spl0_166
| ~ spl0_324
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f39406,f20287,f13162,f8088]) ).
thf(f44667,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_1015 ),
inference(forward_subsumption_resolution,[],[f42132,f29]) ).
thf(f44691,plain,
( spl0_190
| ~ spl0_82
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f38583,f8882,f3116,f9029]) ).
thf(f44694,definition,
( spl0_1087
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1087])],[avatar_definition]) ).
thf(f44695,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_1087 ),
inference(avatar_component_clause,[],[f44694]) ).
thf(f44696,plain,
( spl0_59
| spl0_1087
| ~ spl0_98
| ~ spl0_1039 ),
inference(avatar_split_clause,[],[f39328,f35692,f5066,f44694,f2663]) ).
thf(f44701,plain,
( spl0_77
| ~ spl0_189
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f38568,f9426,f8945,f2804]) ).
thf(f44703,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_53
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f39196,f29]) ).
thf(f44729,plain,
( ~ spl0_82
| spl0_191
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f38579,f8882,f9033,f3116]) ).
thf(f44750,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_50
| ~ spl0_1015 ),
inference(forward_subsumption_resolution,[],[f44667,f2457]) ).
thf(f44760,definition,
( spl0_1096
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1096])],[avatar_definition]) ).
thf(f44761,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_1096 ),
inference(avatar_component_clause,[],[f44760]) ).
thf(f44762,plain,
( spl0_1096
| ~ spl0_82
| ~ spl0_53
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f44703,f2687,f2449,f3116,f44760]) ).
thf(f44785,plain,
( spl0_82
| spl0_50
| ~ spl0_1015 ),
inference(avatar_split_clause,[],[f44750,f29422,f2435,f3116]) ).
thf(f44788,plain,
( ~ spl0_77
| spl0_419
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f38659,f18862,f18912,f2804]) ).
thf(f44938,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_179 ),
inference(constrained_superposition,[],[f35769,f8298]) ).
thf(f44947,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_4
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f44938]) ).
thf(f44953,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_4
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f44947,f29]) ).
thf(f44955,plain,
( spl0_190
| ~ spl0_4
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f44953,f8297,f105,f9029]) ).
thf(f44985,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f159,f8596]) ).
thf(f44986,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f374,f8596]) ).
thf(f44993,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f44986]) ).
thf(f44995,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f44985]) ).
thf(f45019,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f2647,f9030]) ).
thf(f45031,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f26,f9030]) ).
thf(f45038,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f45019]) ).
thf(f45040,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f45031]) ).
thf(f45260,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_167
| ~ spl0_324 ),
inference(constrained_superposition,[],[f8093,f13163]) ).
thf(f45281,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_167
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f45260]) ).
thf(f45309,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_167
| ~ spl0_324 ),
inference(constrained_superposition,[],[f45281,f37]) ).
thf(f45317,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_167
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f45309]) ).
thf(f45319,plain,
( spl0_178
| spl0_332
| ~ spl0_167
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f45317,f13162,f8092,f13355,f8291]) ).
thf(f45339,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_332 ),
inference(constrained_superposition,[],[f26,f13356]) ).
thf(f45340,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f45339]) ).
thf(f45425,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_96
| ~ spl0_357 ),
inference(constrained_superposition,[],[f18399,f40022]) ).
thf(f45430,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_6
| ~ spl0_96
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f45425]) ).
thf(f45443,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_64
| ~ spl0_96
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f45430,f2688]) ).
thf(f45446,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_6
| ~ spl0_64
| ~ spl0_96
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f45443,f29]) ).
thf(f45448,plain,
( spl0_1024
| ~ spl0_6
| ~ spl0_64
| ~ spl0_96
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f45446,f18398,f5035,f2687,f166,f35068]) ).
thf(f45602,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_332
| ~ spl0_1024 ),
inference(constrained_superposition,[],[f45340,f35069]) ).
thf(f45618,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_332
| ~ spl0_1024 ),
inference(trivial_inequality_removal,[],[f45602]) ).
thf(f45635,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_64
| ~ spl0_332
| ~ spl0_1024 ),
inference(forward_subsumption_resolution,[],[f45618,f2688]) ).
thf(f45638,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_64
| ~ spl0_332
| ~ spl0_1024 ),
inference(forward_subsumption_resolution,[],[f45635,f29]) ).
thf(f45639,plain,
( spl0_350
| spl0_178
| ~ spl0_64
| ~ spl0_332
| ~ spl0_1024 ),
inference(avatar_split_clause,[],[f45638,f35068,f13355,f2687,f8291,f17969]) ).
thf(f45642,plain,
( spl0_59
| ~ spl0_175
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f44995,f8595,f8155,f2663]) ).
thf(f45644,plain,
( spl0_194
| ~ spl0_77
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f45038,f9029,f2804,f9426]) ).
thf(f45649,plain,
( ~ spl0_175
| spl0_77
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f44993,f8595,f2804,f8155]) ).
thf(f45662,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f41,f3010]) ).
thf(f45673,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f45662]) ).
thf(f45730,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_175
| ~ spl0_1087 ),
inference(constrained_superposition,[],[f44695,f8156]) ).
thf(f45737,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_175
| ~ spl0_1087 ),
inference(trivial_inequality_removal,[],[f45730]) ).
thf(f45745,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_175
| ~ spl0_1087 ),
inference(forward_subsumption_resolution,[],[f45737,f29]) ).
thf(f45749,plain,
( spl0_351
| ~ spl0_175
| ~ spl0_1087 ),
inference(avatar_split_clause,[],[f45745,f44694,f8155,f18217]) ).
thf(f45810,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_183 ),
inference(constrained_superposition,[],[f8599,f28]) ).
thf(f45811,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_183 ),
inference(trivial_inequality_removal,[],[f45810]) ).
thf(f45814,plain,
( spl0_188
| spl0_187
| spl0_183 ),
inference(avatar_split_clause,[],[f45811,f8598,f8879,f8882]) ).
thf(f45871,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_100
| ~ spl0_164 ),
inference(constrained_superposition,[],[f5081,f8082]) ).
thf(f45873,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_96
| ~ spl0_164 ),
inference(constrained_superposition,[],[f39514,f8082]) ).
thf(f45882,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_164 ),
inference(constrained_superposition,[],[f26,f8082]) ).
thf(f45893,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_100
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f45871]) ).
thf(f45899,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_96
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f45873]) ).
thf(f45901,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f45882]) ).
thf(f45904,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_68
| ~ spl0_100
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f45893,f7967]) ).
thf(f45906,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_6
| spl0_68
| ~ spl0_96
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f45899,f7967]) ).
thf(f45911,plain,
( $false
| spl0_68
| ~ spl0_100
| ~ spl0_164
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f45904,f9034]) ).
thf(f45912,plain,
( spl0_68
| ~ spl0_100
| ~ spl0_164
| ~ spl0_191 ),
inference(avatar_contradiction_clause,[],[f45911]) ).
thf(f45913,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| spl0_68
| ~ spl0_96
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f45906,f29]) ).
thf(f45915,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_6
| spl0_68
| ~ spl0_96
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f45913,f29]) ).
thf(f45916,plain,
( spl0_177
| ~ spl0_6
| spl0_68
| ~ spl0_96
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f45915,f8081,f5035,f2703,f166,f8276]) ).
thf(f46010,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f26,f13160]) ).
thf(f46016,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f46010]) ).
thf(f46024,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_317
| ~ spl0_326 ),
inference(constrained_superposition,[],[f12778,f13170]) ).
thf(f46050,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_317
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f46024]) ).
thf(f46052,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_317
| ~ spl0_326 ),
inference(forward_subsumption_resolution,[],[f46050,f29]) ).
thf(f46053,plain,
( spl0_350
| spl0_178
| ~ spl0_317
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f46052,f13169,f12777,f8291,f17969]) ).
thf(f46138,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_323
| ~ spl0_1024 ),
inference(constrained_superposition,[],[f46016,f35069]) ).
thf(f46141,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_323
| ~ spl0_1024 ),
inference(trivial_inequality_removal,[],[f46138]) ).
thf(f46153,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_323
| ~ spl0_1024 ),
inference(forward_subsumption_resolution,[],[f46141,f29]) ).
thf(f46155,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_173
| ~ spl0_323
| ~ spl0_1024 ),
inference(forward_subsumption_resolution,[],[f46153,f8118]) ).
thf(f46156,plain,
( spl0_350
| spl0_178
| ~ spl0_173
| ~ spl0_323
| ~ spl0_1024 ),
inference(avatar_split_clause,[],[f46155,f35068,f13159,f8117,f8291,f17969]) ).
thf(f46165,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_255
| ~ spl0_1096 ),
inference(constrained_superposition,[],[f13128,f44761]) ).
thf(f46189,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_255
| ~ spl0_1096 ),
inference(trivial_inequality_removal,[],[f46165]) ).
thf(f46194,plain,
( spl0_351
| spl0_255
| ~ spl0_1096 ),
inference(avatar_split_clause,[],[f46189,f44760,f11355,f18217]) ).
thf(f47404,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_54
| ~ spl0_77 ),
inference(constrained_superposition,[],[f45673,f2455]) ).
thf(f47419,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_54
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f47404]) ).
thf(f47424,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_54
| ~ spl0_64
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f47419,f37717]) ).
thf(f47430,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_54
| ~ spl0_64
| ~ spl0_77 ),
inference(constrained_superposition,[],[f27,f47424]) ).
thf(f47434,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_54
| ~ spl0_64
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f47430]) ).
thf(f47867,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_351 ),
inference(avatar_component_clause,[],[f18217]) ).
thf(f47876,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_351 ),
inference(extensionality_resolution,[],[f60,f47867]) ).
thf(f47894,definition,
( spl0_1129
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1129])],[avatar_definition]) ).
thf(f47895,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_1129 ),
inference(avatar_component_clause,[],[f47894]) ).
thf(f47897,definition,
( spl0_1130
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1130])],[avatar_definition]) ).
thf(f47898,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_1130 ),
inference(avatar_component_clause,[],[f47897]) ).
thf(f47899,plain,
( spl0_1129
| spl0_1130
| spl0_351 ),
inference(avatar_split_clause,[],[f47876,f18217,f47897,f47894]) ).
thf(f47908,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_164
| ~ spl0_1130 ),
inference(constrained_superposition,[],[f45901,f47898]) ).
thf(f47909,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_190
| ~ spl0_1130 ),
inference(constrained_superposition,[],[f45040,f47898]) ).
thf(f47925,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_164
| ~ spl0_1130 ),
inference(trivial_inequality_removal,[],[f47908]) ).
thf(f47926,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_190
| ~ spl0_1130 ),
inference(trivial_inequality_removal,[],[f47909]) ).
thf(f47937,plain,
( $false
| ~ spl0_164
| ~ spl0_326
| ~ spl0_1130 ),
inference(forward_subsumption_resolution,[],[f47925,f13170]) ).
thf(f47938,plain,
( ~ spl0_164
| ~ spl0_326
| ~ spl0_1130 ),
inference(avatar_contradiction_clause,[],[f47937]) ).
thf(f47939,plain,
( $false
| ~ spl0_190
| ~ spl0_404
| ~ spl0_1130 ),
inference(forward_subsumption_resolution,[],[f47926,f18808]) ).
thf(f47940,plain,
( ~ spl0_190
| ~ spl0_404
| ~ spl0_1130 ),
inference(avatar_contradiction_clause,[],[f47939]) ).
thf(f47953,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_64
| ~ spl0_77
| ~ spl0_1129 ),
inference(constrained_superposition,[],[f47434,f47895]) ).
thf(f47963,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_54
| ~ spl0_64
| ~ spl0_77
| ~ spl0_1129 ),
inference(trivial_inequality_removal,[],[f47953]) ).
thf(f47970,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_64
| ~ spl0_77
| ~ spl0_194
| ~ spl0_1129 ),
inference(forward_subsumption_resolution,[],[f47963,f9427]) ).
thf(f47978,plain,
( spl0_441
| ~ spl0_54
| ~ spl0_64
| ~ spl0_77
| ~ spl0_194
| ~ spl0_1129 ),
inference(avatar_split_clause,[],[f47970,f47894,f9426,f2804,f2687,f2454,f20290]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f99]) ).
cnf(s3,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f107]) ).
cnf(s4,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f112]) ).
cnf(s70,plain,
( ~ spl0_4
| spl0_6
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f2420]) ).
cnf(s86,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f2443]) ).
cnf(s88,plain,
( spl0_50
| spl0_53 ),
inference(sat_conversion,[],[f2451]) ).
cnf(s89,plain,
( spl0_50
| spl0_54 ),
inference(sat_conversion,[],[f2456]) ).
cnf(s90,plain,
( ~ spl0_4
| ~ spl0_50
| spl0_55 ),
inference(sat_conversion,[],[f2461]) ).
cnf(s95,plain,
( ~ spl0_57
| spl0_58 ),
inference(sat_conversion,[],[f2660]) ).
cnf(s115,plain,
( spl0_6
| spl0_50 ),
inference(sat_conversion,[],[f2751]) ).
cnf(s116,plain,
( spl0_57
| spl0_66 ),
inference(sat_conversion,[],[f2779]) ).
cnf(s124,plain,
( ~ spl0_2
| ~ spl0_58
| spl0_59
| spl0_80 ),
inference(sat_conversion,[],[f3013]) ).
cnf(s130,plain,
( ~ spl0_50
| ~ spl0_59
| ~ spl0_64 ),
inference(sat_conversion,[],[f3122]) ).
cnf(s131,plain,
( ~ spl0_50
| ~ spl0_64
| spl0_67 ),
inference(sat_conversion,[],[f3123]) ).
cnf(s146,plain,
~ spl0_68,
inference(sat_conversion,[],[f3396]) ).
cnf(s154,plain,
( spl0_50
| spl0_59
| spl0_64 ),
inference(sat_conversion,[],[f3412]) ).
cnf(s155,plain,
( spl0_50
| spl0_59
| ~ spl0_66 ),
inference(sat_conversion,[],[f3413]) ).
cnf(s164,plain,
( spl0_64
| spl0_79 ),
inference(sat_conversion,[],[f3660]) ).
cnf(s170,plain,
( ~ spl0_54
| spl0_64
| spl0_77 ),
inference(sat_conversion,[],[f3748]) ).
cnf(s172,plain,
( ~ spl0_6
| spl0_59
| ~ spl0_66 ),
inference(sat_conversion,[],[f3783]) ).
cnf(s173,plain,
( spl0_64
| ~ spl0_77
| spl0_81 ),
inference(sat_conversion,[],[f3784]) ).
cnf(s177,plain,
( ~ spl0_6
| ~ spl0_66
| ~ spl0_67 ),
inference(sat_conversion,[],[f3797]) ).
cnf(s235,plain,
( ~ spl0_8
| spl0_105 ),
inference(sat_conversion,[],[f5150]) ).
cnf(s449,plain,
~ spl0_107,
inference(sat_conversion,[],[f7163]) ).
cnf(s544,plain,
( spl0_68
| spl0_163
| spl0_164 ),
inference(sat_conversion,[],[f8083]) ).
cnf(s546,plain,
( spl0_68
| spl0_167
| spl0_168 ),
inference(sat_conversion,[],[f8097]) ).
cnf(s547,plain,
( spl0_68
| spl0_166
| spl0_169 ),
inference(sat_conversion,[],[f8102]) ).
cnf(s548,plain,
( spl0_68
| spl0_170
| spl0_171 ),
inference(sat_conversion,[],[f8109]) ).
cnf(s549,plain,
( spl0_68
| spl0_167
| spl0_169 ),
inference(sat_conversion,[],[f8110]) ).
cnf(s554,plain,
( spl0_165
| ~ spl0_168 ),
inference(sat_conversion,[],[f8149]) ).
cnf(s556,plain,
( ~ spl0_59
| ~ spl0_168
| spl0_175 ),
inference(sat_conversion,[],[f8159]) ).
cnf(s559,plain,
( spl0_67
| ~ spl0_169
| ~ spl0_176 ),
inference(sat_conversion,[],[f8230]) ).
cnf(s560,plain,
( ~ spl0_77
| ~ spl0_169
| ~ spl0_176 ),
inference(sat_conversion,[],[f8231]) ).
cnf(s565,plain,
( ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_163
| spl0_174
| ~ spl0_175
| spl0_178 ),
inference(sat_conversion,[],[f8293]) ).
cnf(s585,plain,
~ spl0_174,
inference(sat_conversion,[],[f8455]) ).
cnf(s605,plain,
( ~ spl0_164
| spl0_172
| ~ spl0_184 ),
inference(sat_conversion,[],[f8610]) ).
cnf(s611,plain,
( ~ spl0_50
| ~ spl0_173
| spl0_186 ),
inference(sat_conversion,[],[f8622]) ).
cnf(s621,plain,
~ spl0_178,
inference(sat_conversion,[],[f8745]) ).
cnf(s638,plain,
( spl0_179
| spl0_184 ),
inference(sat_conversion,[],[f8788]) ).
cnf(s640,plain,
( ~ spl0_66
| spl0_68
| spl0_168
| ~ spl0_185 ),
inference(sat_conversion,[],[f8815]) ).
cnf(s646,plain,
( ~ spl0_66
| ~ spl0_172
| ~ spl0_182 ),
inference(sat_conversion,[],[f8916]) ).
cnf(s658,plain,
( ~ spl0_2
| ~ spl0_82
| spl0_179
| ~ spl0_188 ),
inference(sat_conversion,[],[f9039]) ).
cnf(s662,plain,
( ~ spl0_164
| ~ spl0_173
| ~ spl0_184 ),
inference(sat_conversion,[],[f9111]) ).
cnf(s664,plain,
( ~ spl0_164
| spl0_172
| spl0_179 ),
inference(sat_conversion,[],[f9114]) ).
cnf(s665,plain,
( ~ spl0_66
| spl0_174
| ~ spl0_179
| spl0_181 ),
inference(sat_conversion,[],[f9147]) ).
cnf(s671,plain,
( ~ spl0_79
| ~ spl0_179
| ~ spl0_188 ),
inference(sat_conversion,[],[f9364]) ).
cnf(s676,plain,
( spl0_185
| spl0_192 ),
inference(sat_conversion,[],[f9423]) ).
cnf(s681,plain,
( ~ spl0_166
| spl0_167 ),
inference(sat_conversion,[],[f9468]) ).
cnf(s684,plain,
( ~ spl0_164
| ~ spl0_168
| spl0_194 ),
inference(sat_conversion,[],[f9604]) ).
cnf(s686,plain,
( ~ spl0_66
| ~ spl0_164
| ~ spl0_168
| spl0_174
| spl0_177 ),
inference(sat_conversion,[],[f9609]) ).
cnf(s687,plain,
( ~ spl0_164
| ~ spl0_168
| ~ spl0_181 ),
inference(sat_conversion,[],[f9610]) ).
cnf(s693,plain,
( spl0_101
| ~ spl0_105 ),
inference(sat_conversion,[],[f9994]) ).
cnf(s858,plain,
( spl0_68
| ~ spl0_101
| spl0_107 ),
inference(sat_conversion,[],[f11456]) ).
cnf(s1072,plain,
( ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_164
| spl0_174
| spl0_317 ),
inference(sat_conversion,[],[f12779]) ).
cnf(s1078,plain,
( spl0_174
| spl0_183
| spl0_322 ),
inference(sat_conversion,[],[f13155]) ).
cnf(s1079,plain,
( spl0_174
| spl0_323
| spl0_324 ),
inference(sat_conversion,[],[f13164]) ).
cnf(s1080,plain,
( spl0_174
| spl0_325
| spl0_326 ),
inference(sat_conversion,[],[f13171]) ).
cnf(s1101,plain,
( ~ spl0_6
| ~ spl0_50
| spl0_331 ),
inference(sat_conversion,[],[f13330]) ).
cnf(s1102,plain,
( ~ spl0_6
| ~ spl0_59
| ~ spl0_179
| ~ spl0_181 ),
inference(sat_conversion,[],[f13331]) ).
cnf(s1103,plain,
( ~ spl0_6
| ~ spl0_50
| ~ spl0_59
| spl0_64
| spl0_89 ),
inference(sat_conversion,[],[f13334]) ).
cnf(s1118,plain,
( ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_175
| spl0_178
| ~ spl0_325
| spl0_329 ),
inference(sat_conversion,[],[f13533]) ).
cnf(s1126,plain,
( ~ spl0_5
| ~ spl0_81
| spl0_300 ),
inference(sat_conversion,[],[f13862]) ).
cnf(s1198,plain,
( ~ spl0_164
| ~ spl0_350 ),
inference(sat_conversion,[],[f18261]) ).
cnf(s1237,plain,
( spl0_174
| spl0_188
| spl0_357 ),
inference(sat_conversion,[],[f18400]) ).
cnf(s1250,plain,
( ~ spl0_50
| ~ spl0_57
| ~ spl0_59 ),
inference(sat_conversion,[],[f18455]) ).
cnf(s1255,plain,
( ~ spl0_183
| spl0_357 ),
inference(sat_conversion,[],[f18472]) ).
cnf(s1256,plain,
( ~ spl0_77
| spl0_178
| ~ spl0_183
| spl0_368 ),
inference(sat_conversion,[],[f18476]) ).
cnf(s1257,plain,
( spl0_174
| spl0_181
| spl0_322 ),
inference(sat_conversion,[],[f18477]) ).
cnf(s1258,plain,
( ~ spl0_2
| spl0_66
| spl0_82 ),
inference(sat_conversion,[],[f18484]) ).
cnf(s1321,plain,
( spl0_4
| ~ spl0_59
| spl0_66 ),
inference(sat_conversion,[],[f18710]) ).
cnf(s1366,plain,
( ~ spl0_4
| ~ spl0_328
| spl0_404 ),
inference(sat_conversion,[],[f18809]) ).
cnf(s1370,plain,
( ~ spl0_67
| ~ spl0_167
| ~ spl0_186 ),
inference(sat_conversion,[],[f18827]) ).
cnf(s1380,plain,
( ~ spl0_4
| ~ spl0_328
| spl0_414 ),
inference(sat_conversion,[],[f18864]) ).
cnf(s1383,plain,
( ~ spl0_4
| ~ spl0_328
| ~ spl0_330 ),
inference(sat_conversion,[],[f18875]) ).
cnf(s1388,plain,
( ~ spl0_4
| ~ spl0_77
| ~ spl0_179
| ~ spl0_183 ),
inference(sat_conversion,[],[f18885]) ).
cnf(s1397,plain,
( spl0_4
| spl0_66
| ~ spl0_77 ),
inference(sat_conversion,[],[f18898]) ).
cnf(s1407,plain,
( ~ spl0_169
| ~ spl0_323
| spl0_419 ),
inference(sat_conversion,[],[f18914]) ).
cnf(s1409,plain,
( spl0_175
| ~ spl0_326
| ~ spl0_404 ),
inference(sat_conversion,[],[f18920]) ).
cnf(s1411,plain,
( spl0_175
| spl0_255 ),
inference(sat_conversion,[],[f18928]) ).
cnf(s1416,plain,
( ~ spl0_168
| ~ spl0_323
| spl0_419 ),
inference(sat_conversion,[],[f18936]) ).
cnf(s1423,plain,
( spl0_174
| spl0_175
| spl0_255 ),
inference(sat_conversion,[],[f18946]) ).
cnf(s1431,plain,
( ~ spl0_192
| ~ spl0_323
| spl0_328 ),
inference(sat_conversion,[],[f18963]) ).
cnf(s1438,plain,
( spl0_59
| spl0_67
| spl0_68 ),
inference(sat_conversion,[],[f19002]) ).
cnf(s1439,plain,
( ~ spl0_80
| spl0_235 ),
inference(sat_conversion,[],[f19038]) ).
cnf(s1443,plain,
( spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f19436]) ).
cnf(s1525,plain,
( ~ spl0_172
| spl0_260 ),
inference(sat_conversion,[],[f19627]) ).
cnf(s1545,plain,
~ spl0_329,
inference(sat_conversion,[],[f19777]) ).
cnf(s1557,plain,
( ~ spl0_255
| spl0_258 ),
inference(sat_conversion,[],[f19850]) ).
cnf(s1559,plain,
( spl0_68
| ~ spl0_77
| spl0_166
| ~ spl0_255 ),
inference(sat_conversion,[],[f19852]) ).
cnf(s1562,plain,
( spl0_179
| ~ spl0_189
| spl0_439 ),
inference(sat_conversion,[],[f19860]) ).
cnf(s1568,plain,
( ~ spl0_66
| spl0_436 ),
inference(sat_conversion,[],[f19953]) ).
cnf(s1569,plain,
( ~ spl0_79
| spl0_436 ),
inference(sat_conversion,[],[f19954]) ).
cnf(s1597,plain,
~ spl0_351,
inference(sat_conversion,[],[f20238]) ).
cnf(s1608,plain,
( ~ spl0_77
| ~ spl0_404
| spl0_440
| spl0_441 ),
inference(sat_conversion,[],[f20292]) ).
cnf(s1615,plain,
( ~ spl0_6
| spl0_173
| ~ spl0_186 ),
inference(sat_conversion,[],[f20303]) ).
cnf(s1622,plain,
~ spl0_441,
inference(sat_conversion,[],[f20410]) ).
cnf(s1650,plain,
( spl0_68
| ~ spl0_89
| spl0_173 ),
inference(sat_conversion,[],[f20894]) ).
cnf(s1658,plain,
( ~ spl0_300
| spl0_305 ),
inference(sat_conversion,[],[f21015]) ).
cnf(s1659,plain,
( spl0_68
| spl0_173
| ~ spl0_300 ),
inference(sat_conversion,[],[f21017]) ).
cnf(s1664,plain,
( spl0_6
| spl0_356 ),
inference(sat_conversion,[],[f21109]) ).
cnf(s2663,plain,
( ~ spl0_55
| spl0_67
| spl0_89 ),
inference(sat_conversion,[],[f26244]) ).
cnf(s2667,plain,
( spl0_328
| ~ spl0_330
| ~ spl0_439
| spl0_1002 ),
inference(sat_conversion,[],[f26335]) ).
cnf(s2675,plain,
( spl0_350
| ~ spl0_1002 ),
inference(sat_conversion,[],[f26493]) ).
cnf(s2681,plain,
( ~ spl0_164
| spl0_175
| ~ spl0_191 ),
inference(sat_conversion,[],[f26517]) ).
cnf(s2691,plain,
( ~ spl0_164
| spl0_186
| ~ spl0_191 ),
inference(sat_conversion,[],[f26534]) ).
cnf(s2698,plain,
( ~ spl0_164
| spl0_182
| ~ spl0_183 ),
inference(sat_conversion,[],[f26544]) ).
cnf(s2704,plain,
( spl0_68
| spl0_168
| ~ spl0_172
| ~ spl0_436 ),
inference(sat_conversion,[],[f26559]) ).
cnf(s2714,plain,
( spl0_77
| ~ spl0_330
| ~ spl0_419 ),
inference(sat_conversion,[],[f26573]) ).
cnf(s2723,plain,
( ~ spl0_50
| ~ spl0_67
| ~ spl0_419
| ~ spl0_436 ),
inference(sat_conversion,[],[f26584]) ).
cnf(s2728,plain,
( ~ spl0_57
| ~ spl0_335
| spl0_419 ),
inference(sat_conversion,[],[f26589]) ).
cnf(s2733,plain,
( ~ spl0_50
| ~ spl0_64
| spl0_68
| spl0_82 ),
inference(sat_conversion,[],[f26621]) ).
cnf(s2739,plain,
( spl0_68
| spl0_77
| spl0_82 ),
inference(sat_conversion,[],[f26648]) ).
cnf(s2742,plain,
( ~ spl0_82
| spl0_137 ),
inference(sat_conversion,[],[f26702]) ).
cnf(s2755,plain,
~ spl0_187,
inference(sat_conversion,[],[f26809]) ).
cnf(s2767,plain,
( spl0_66
| ~ spl0_183
| ~ spl0_184 ),
inference(sat_conversion,[],[f27025]) ).
cnf(s2768,plain,
( spl0_79
| ~ spl0_183
| ~ spl0_184 ),
inference(sat_conversion,[],[f27026]) ).
cnf(s2773,plain,
( ~ spl0_50
| ~ spl0_64
| spl0_77
| spl0_373 ),
inference(sat_conversion,[],[f27649]) ).
cnf(s2783,plain,
( ~ spl0_255
| ~ spl0_323
| spl0_330 ),
inference(sat_conversion,[],[f28160]) ).
cnf(s2787,plain,
( spl0_330
| spl0_414 ),
inference(sat_conversion,[],[f28185]) ).
cnf(s2794,plain,
( ~ spl0_3
| ~ spl0_64
| ~ spl0_82
| spl0_172
| spl0_351 ),
inference(sat_conversion,[],[f28217]) ).
cnf(s2797,plain,
( ~ spl0_50
| ~ spl0_64
| ~ spl0_82
| spl0_172
| spl0_351 ),
inference(sat_conversion,[],[f28227]) ).
cnf(s2799,plain,
( ~ spl0_50
| ~ spl0_64
| spl0_68
| spl0_77
| spl0_172 ),
inference(sat_conversion,[],[f28230]) ).
cnf(s2803,plain,
( ~ spl0_50
| ~ spl0_173
| spl0_174
| spl0_175 ),
inference(sat_conversion,[],[f28272]) ).
cnf(s2808,plain,
( ~ spl0_64
| spl0_68
| spl0_166
| ~ spl0_173 ),
inference(sat_conversion,[],[f28274]) ).
cnf(s2844,plain,
( ~ spl0_235
| ~ spl0_324
| ~ spl0_327 ),
inference(sat_conversion,[],[f28805]) ).
cnf(s2858,plain,
( ~ spl0_2
| spl0_66
| ~ spl0_137
| ~ spl0_172
| ~ spl0_325
| spl0_441 ),
inference(sat_conversion,[],[f28939]) ).
cnf(s2860,plain,
( ~ spl0_50
| ~ spl0_64
| ~ spl0_82
| ~ spl0_172
| ~ spl0_325
| spl0_441 ),
inference(sat_conversion,[],[f28941]) ).
cnf(s2871,plain,
( ~ spl0_50
| ~ spl0_64
| spl0_77
| ~ spl0_164
| spl0_174
| spl0_317
| ~ spl0_373 ),
inference(sat_conversion,[],[f29162]) ).
cnf(s2890,plain,
( ~ spl0_1
| spl0_179
| ~ spl0_190 ),
inference(sat_conversion,[],[f29433]) ).
cnf(s2953,plain,
( ~ spl0_163
| ~ spl0_175
| ~ spl0_368 ),
inference(sat_conversion,[],[f30036]) ).
cnf(s2957,plain,
( ~ spl0_50
| spl0_178
| spl0_187
| ~ spl0_414
| ~ spl0_1014 ),
inference(sat_conversion,[],[f30287]) ).
cnf(s3073,plain,
( ~ spl0_50
| ~ spl0_67
| spl0_177
| ~ spl0_183
| ~ spl0_436
| spl0_1024 ),
inference(sat_conversion,[],[f35070]) ).
cnf(s3074,plain,
( ~ spl0_50
| spl0_178
| spl0_350
| ~ spl0_414
| ~ spl0_1024 ),
inference(sat_conversion,[],[f35132]) ).
cnf(s3088,plain,
( ~ spl0_185
| ~ spl0_324
| ~ spl0_328 ),
inference(sat_conversion,[],[f35168]) ).
cnf(s3102,plain,
( ~ spl0_163
| ~ spl0_172
| spl0_177 ),
inference(sat_conversion,[],[f35188]) ).
cnf(s3108,plain,
( spl0_255
| ~ spl0_324
| ~ spl0_330 ),
inference(sat_conversion,[],[f35201]) ).
cnf(s3109,plain,
( ~ spl0_50
| ~ spl0_67
| ~ spl0_169
| spl0_173
| ~ spl0_436
| spl0_1014 ),
inference(sat_conversion,[],[f35205]) ).
cnf(s3113,plain,
( ~ spl0_163
| ~ spl0_179
| ~ spl0_185 ),
inference(sat_conversion,[],[f35213]) ).
cnf(s3145,plain,
( ~ spl0_163
| ~ spl0_186
| spl0_191 ),
inference(sat_conversion,[],[f35296]) ).
cnf(s3147,plain,
( ~ spl0_163
| ~ spl0_175
| spl0_190 ),
inference(sat_conversion,[],[f35298]) ).
cnf(s3151,plain,
( ~ spl0_50
| ~ spl0_163
| spl0_178
| spl0_179
| ~ spl0_186 ),
inference(sat_conversion,[],[f35303]) ).
cnf(s3152,plain,
( ~ spl0_175
| ~ spl0_325
| spl0_404 ),
inference(sat_conversion,[],[f35307]) ).
cnf(s3170,plain,
( spl0_68
| spl0_173
| ~ spl0_1024 ),
inference(sat_conversion,[],[f35404]) ).
cnf(s3183,plain,
( ~ spl0_163
| ~ spl0_350 ),
inference(sat_conversion,[],[f35654]) ).
cnf(s3188,plain,
( ~ spl0_4
| ~ spl0_66
| spl0_77 ),
inference(sat_conversion,[],[f35665]) ).
cnf(s3193,plain,
( ~ spl0_1
| spl0_185
| ~ spl0_255 ),
inference(sat_conversion,[],[f35673]) ).
cnf(s3195,plain,
( ~ spl0_59
| ~ spl0_181
| spl0_368 ),
inference(sat_conversion,[],[f35680]) ).
cnf(s3203,plain,
( spl0_67
| ~ spl0_183
| ~ spl0_191 ),
inference(sat_conversion,[],[f35703]) ).
cnf(s3205,plain,
( ~ spl0_4
| ~ spl0_66
| ~ spl0_137 ),
inference(sat_conversion,[],[f35706]) ).
cnf(s3206,plain,
( ~ spl0_59
| ~ spl0_181
| spl0_189 ),
inference(sat_conversion,[],[f35707]) ).
cnf(s3207,plain,
( ~ spl0_77
| spl0_330
| ~ spl0_332 ),
inference(sat_conversion,[],[f35709]) ).
cnf(s3208,plain,
( ~ spl0_50
| ~ spl0_177
| spl0_368 ),
inference(sat_conversion,[],[f35710]) ).
cnf(s3215,plain,
( ~ spl0_77
| spl0_189
| ~ spl0_357 ),
inference(sat_conversion,[],[f35720]) ).
cnf(s3217,plain,
( ~ spl0_50
| ~ spl0_177
| spl0_189 ),
inference(sat_conversion,[],[f35723]) ).
cnf(s3226,plain,
( spl0_4
| spl0_172
| ~ spl0_255 ),
inference(sat_conversion,[],[f35739]) ).
cnf(s3228,plain,
( spl0_64
| spl0_68
| spl0_168
| spl0_173 ),
inference(sat_conversion,[],[f35742]) ).
cnf(s3230,plain,
( spl0_64
| spl0_68
| spl0_169
| spl0_173 ),
inference(sat_conversion,[],[f35744]) ).
cnf(s3231,plain,
( spl0_4
| spl0_174
| spl0_185
| spl0_186 ),
inference(sat_conversion,[],[f35745]) ).
cnf(s3232,plain,
( spl0_4
| spl0_174
| spl0_175
| spl0_185 ),
inference(sat_conversion,[],[f35746]) ).
cnf(s3240,plain,
( ~ spl0_4
| spl0_98 ),
inference(sat_conversion,[],[f35770]) ).
cnf(s3241,plain,
( ~ spl0_4
| spl0_59
| ~ spl0_66 ),
inference(sat_conversion,[],[f35772]) ).
cnf(s3243,plain,
( ~ spl0_6
| spl0_98 ),
inference(sat_conversion,[],[f35785]) ).
cnf(s3254,plain,
( ~ spl0_139
| ~ spl0_166
| spl0_174
| spl0_185 ),
inference(sat_conversion,[],[f35911]) ).
cnf(s3258,plain,
( spl0_327
| spl0_335 ),
inference(sat_conversion,[],[f35967]) ).
cnf(s3271,plain,
( spl0_64
| spl0_66
| spl0_68
| ~ spl0_331 ),
inference(sat_conversion,[],[f36126]) ).
cnf(s3272,plain,
( ~ spl0_57
| spl0_179
| ~ spl0_181 ),
inference(sat_conversion,[],[f36127]) ).
cnf(s3276,plain,
( spl0_66
| spl0_1036 ),
inference(sat_conversion,[],[f36143]) ).
cnf(s3277,plain,
( spl0_66
| spl0_1039 ),
inference(sat_conversion,[],[f36145]) ).
cnf(s3285,plain,
( ~ spl0_163
| ~ spl0_166
| ~ spl0_188 ),
inference(sat_conversion,[],[f36200]) ).
cnf(s3286,plain,
( ~ spl0_4
| spl0_176
| ~ spl0_185 ),
inference(sat_conversion,[],[f36203]) ).
cnf(s3297,plain,
( spl0_174
| spl0_176
| spl0_186 ),
inference(sat_conversion,[],[f36279]) ).
cnf(s3302,plain,
( spl0_189
| spl0_190 ),
inference(sat_conversion,[],[f36348]) ).
cnf(s3304,plain,
( ~ spl0_77
| ~ spl0_79
| spl0_81 ),
inference(sat_conversion,[],[f36425]) ).
cnf(s3331,plain,
( spl0_50
| ~ spl0_81
| spl0_89 ),
inference(sat_conversion,[],[f36996]) ).
cnf(s3334,plain,
( ~ spl0_89
| spl0_403 ),
inference(sat_conversion,[],[f37187]) ).
cnf(s3336,plain,
( spl0_166
| spl0_185
| spl0_351
| ~ spl0_1036 ),
inference(sat_conversion,[],[f37229]) ).
cnf(s3337,plain,
( ~ spl0_163
| spl0_172
| ~ spl0_322
| spl0_351
| ~ spl0_1039 ),
inference(sat_conversion,[],[f37251]) ).
cnf(s3346,plain,
( spl0_174
| ~ spl0_322
| ~ spl0_403
| ~ spl0_419
| ~ spl0_436
| spl0_1002 ),
inference(sat_conversion,[],[f37656]) ).
cnf(s3359,plain,
( ~ spl0_98
| ~ spl0_172
| ~ spl0_175 ),
inference(sat_conversion,[],[f37688]) ).
cnf(s3365,plain,
( spl0_50
| ~ spl0_172
| ~ spl0_175 ),
inference(sat_conversion,[],[f37698]) ).
cnf(s3369,plain,
( spl0_79
| spl0_1039 ),
inference(sat_conversion,[],[f37735]) ).
cnf(s3380,plain,
( ~ spl0_4
| ~ spl0_179
| spl0_191 ),
inference(sat_conversion,[],[f37792]) ).
cnf(s3383,plain,
( ~ spl0_98
| ~ spl0_172
| spl0_255 ),
inference(sat_conversion,[],[f37807]) ).
cnf(s3394,plain,
( spl0_178
| spl0_191
| spl0_368 ),
inference(sat_conversion,[],[f37926]) ).
cnf(s3402,plain,
( spl0_329
| spl0_404
| spl0_405 ),
inference(sat_conversion,[],[f38024]) ).
cnf(s3404,plain,
( ~ spl0_6
| ~ spl0_235
| ~ spl0_405 ),
inference(sat_conversion,[],[f38081]) ).
cnf(s3406,plain,
( spl0_68
| ~ spl0_164
| ~ spl0_184
| ~ spl0_305 ),
inference(sat_conversion,[],[f38132]) ).
cnf(s3407,plain,
( ~ spl0_171
| ~ spl0_176
| ~ spl0_190 ),
inference(sat_conversion,[],[f38162]) ).
cnf(s3417,plain,
( spl0_173
| ~ spl0_258
| spl0_1008 ),
inference(sat_conversion,[],[f38300]) ).
cnf(s3422,plain,
( ~ spl0_6
| spl0_177
| ~ spl0_368 ),
inference(sat_conversion,[],[f38311]) ).
cnf(s3431,plain,
( ~ spl0_77
| spl0_182
| ~ spl0_255 ),
inference(sat_conversion,[],[f38324]) ).
cnf(s3439,plain,
( ~ spl0_64
| ~ spl0_177
| spl0_194 ),
inference(sat_conversion,[],[f38427]) ).
cnf(s3462,plain,
( ~ spl0_165
| spl0_173
| spl0_1015 ),
inference(sat_conversion,[],[f38812]) ).
cnf(s3467,plain,
( ~ spl0_64
| ~ spl0_177
| ~ spl0_357 ),
inference(sat_conversion,[],[f38901]) ).
cnf(s3486,plain,
( ~ spl0_64
| spl0_77
| spl0_96
| ~ spl0_98 ),
inference(sat_conversion,[],[f39501]) ).
cnf(s3487,plain,
( ~ spl0_53
| ~ spl0_64
| ~ spl0_82
| spl0_100 ),
inference(sat_conversion,[],[f39626]) ).
cnf(s3506,plain,
( ~ spl0_5
| ~ spl0_64
| ~ spl0_1008
| spl0_1057 ),
inference(sat_conversion,[],[f41420]) ).
cnf(s3511,plain,
( ~ spl0_82
| spl0_139
| ~ spl0_356 ),
inference(sat_conversion,[],[f42535]) ).
cnf(s3565,plain,
( ~ spl0_6
| ~ spl0_170
| ~ spl0_260
| spl0_351
| ~ spl0_1008
| spl0_1077 ),
inference(sat_conversion,[],[f44596]) ).
cnf(s3566,plain,
( ~ spl0_324
| spl0_1002
| ~ spl0_1077 ),
inference(sat_conversion,[],[f44639]) ).
cnf(s3567,plain,
( spl0_59
| ~ spl0_189
| ~ spl0_194 ),
inference(sat_conversion,[],[f44643]) ).
cnf(s3568,plain,
( ~ spl0_67
| spl0_191
| ~ spl0_322 ),
inference(sat_conversion,[],[f44644]) ).
cnf(s3570,plain,
( ~ spl0_182
| spl0_187
| ~ spl0_325
| ~ spl0_1057 ),
inference(sat_conversion,[],[f44651]) ).
cnf(s3572,plain,
( ~ spl0_166
| ~ spl0_324
| ~ spl0_440 ),
inference(sat_conversion,[],[f44658]) ).
cnf(s3580,plain,
( ~ spl0_82
| ~ spl0_188
| spl0_190 ),
inference(sat_conversion,[],[f44691]) ).
cnf(s3582,plain,
( spl0_59
| ~ spl0_98
| ~ spl0_1039
| spl0_1087 ),
inference(sat_conversion,[],[f44696]) ).
cnf(s3586,plain,
( spl0_77
| ~ spl0_189
| ~ spl0_194 ),
inference(sat_conversion,[],[f44701]) ).
cnf(s3594,plain,
( ~ spl0_82
| ~ spl0_188
| spl0_191 ),
inference(sat_conversion,[],[f44729]) ).
cnf(s3607,plain,
( ~ spl0_53
| ~ spl0_64
| ~ spl0_82
| spl0_1096 ),
inference(sat_conversion,[],[f44762]) ).
cnf(s3617,plain,
( spl0_50
| spl0_82
| ~ spl0_1015 ),
inference(sat_conversion,[],[f44785]) ).
cnf(s3620,plain,
( ~ spl0_77
| ~ spl0_414
| spl0_419 ),
inference(sat_conversion,[],[f44788]) ).
cnf(s3655,plain,
( ~ spl0_4
| ~ spl0_179
| spl0_190 ),
inference(sat_conversion,[],[f44955]) ).
cnf(s3671,plain,
( ~ spl0_167
| spl0_178
| ~ spl0_324
| spl0_332 ),
inference(sat_conversion,[],[f45319]) ).
cnf(s3676,plain,
( ~ spl0_6
| ~ spl0_64
| ~ spl0_96
| ~ spl0_357
| spl0_1024 ),
inference(sat_conversion,[],[f45448]) ).
cnf(s3679,plain,
( ~ spl0_64
| spl0_178
| ~ spl0_332
| spl0_350
| ~ spl0_1024 ),
inference(sat_conversion,[],[f45639]) ).
cnf(s3681,plain,
( spl0_59
| ~ spl0_175
| ~ spl0_182 ),
inference(sat_conversion,[],[f45642]) ).
cnf(s3683,plain,
( ~ spl0_77
| ~ spl0_190
| spl0_194 ),
inference(sat_conversion,[],[f45644]) ).
cnf(s3687,plain,
( spl0_77
| ~ spl0_175
| ~ spl0_182 ),
inference(sat_conversion,[],[f45649]) ).
cnf(s3694,plain,
( ~ spl0_175
| spl0_351
| ~ spl0_1087 ),
inference(sat_conversion,[],[f45749]) ).
cnf(s3702,plain,
( spl0_183
| spl0_187
| spl0_188 ),
inference(sat_conversion,[],[f45814]) ).
cnf(s3709,plain,
( spl0_68
| ~ spl0_100
| ~ spl0_164
| ~ spl0_191 ),
inference(sat_conversion,[],[f45912]) ).
cnf(s3711,plain,
( ~ spl0_6
| spl0_68
| ~ spl0_96
| ~ spl0_164
| spl0_177 ),
inference(sat_conversion,[],[f45916]) ).
cnf(s3715,plain,
( spl0_178
| ~ spl0_317
| ~ spl0_326
| spl0_350 ),
inference(sat_conversion,[],[f46053]) ).
cnf(s3718,plain,
( ~ spl0_173
| spl0_178
| ~ spl0_323
| spl0_350
| ~ spl0_1024 ),
inference(sat_conversion,[],[f46156]) ).
cnf(s3719,plain,
( spl0_255
| spl0_351
| ~ spl0_1096 ),
inference(sat_conversion,[],[f46194]) ).
cnf(s3784,plain,
( spl0_351
| spl0_1129
| spl0_1130 ),
inference(sat_conversion,[],[f47899]) ).
cnf(s3786,plain,
( ~ spl0_164
| ~ spl0_326
| ~ spl0_1130 ),
inference(sat_conversion,[],[f47938]) ).
cnf(s3787,plain,
( ~ spl0_190
| ~ spl0_404
| ~ spl0_1130 ),
inference(sat_conversion,[],[f47940]) ).
cnf(s3795,plain,
( ~ spl0_54
| ~ spl0_64
| ~ spl0_77
| ~ spl0_194
| spl0_441
| ~ spl0_1129 ),
inference(sat_conversion,[],[f47978]) ).
cnf(s3801,plain,
( ~ spl0_77
| ~ spl0_404
| spl0_440 ),
inference(rat,[],[s1608,s1622]) ).
cnf(s3825,plain,
( ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_175
| spl0_178
| ~ spl0_325 ),
inference(rat,[],[s1118,s1545]) ).
cnf(s3835,plain,
( ~ spl0_50
| ~ spl0_59
| spl0_64
| ~ spl0_163
| ~ spl0_175 ),
inference(rat,[],[s565,s621,s585]) ).
cnf(s3927,plain,
~ spl0_101,
inference(rat,[],[s858,s449,s146]) ).
cnf(s3929,plain,
~ spl0_105,
inference(rat,[],[s693,s3927]) ).
cnf(s3930,plain,
~ spl0_8,
inference(rat,[],[s235,s3929]) ).
cnf(s3931,plain,
~ spl0_9,
inference(rat,[],[s1443,s3930]) ).
cnf(s3937,plain,
( ~ spl0_4
| spl0_6 ),
inference(rat,[],[s70,s3931,s3930]) ).
cnf(s3973,plain,
( ~ spl0_179
| ~ spl0_59
| ~ spl0_66
| ~ spl0_6 ),
inference(rat,[],[s1102,s665,s585]) ).
cnf(s3974,plain,
( ~ spl0_324
| ~ spl0_167
| ~ spl0_166
| ~ spl0_439
| spl0_1002
| ~ spl0_77
| ~ spl0_4 ),
inference(rat,[],[s2667,s1366,s3207,s3801,s3671,s3572,s621]) ).
cnf(s3975,plain,
( ~ spl0_181
| ~ spl0_163
| ~ spl0_66
| ~ spl0_4 ),
inference(rat,[],[s1383,s1431,s2783,s1079,s3974,s676,s546,s640,s1559,s556,s1423,s2953,s1562,s3195,s3206,s3188,s3973,s3241,s3937,s2675,s3183,s585,s146]) ).
cnf(s3976,plain,
( ~ spl0_81
| ~ spl0_66
| spl0_50
| ~ spl0_4 ),
inference(rat,[],[s1079,s3108,s1407,s1559,s547,s3285,s1237,s3215,s1562,s2667,s1380,s2787,s3620,s3346,s1257,s3975,s2675,s3183,s544,s3406,s1658,s3334,s1126,s3331,s86,s1568,s3188,s638,s3973,s3241,s3937,s585,s146]) ).
cnf(s3978,plain,
( ~ spl0_163
| ~ spl0_322
| ~ spl0_188
| ~ spl0_1039
| ~ spl0_77
| ~ spl0_98 ),
inference(rat,[],[s3383,s1559,s3337,s3285,s146,s1597]) ).
cnf(s3979,plain,
( ~ spl0_66
| spl0_50
| ~ spl0_4 ),
inference(rat,[],[s554,s2704,s3462,s605,s662,s544,s3978,s1078,s3702,s2768,s3369,s3304,s3976,s638,s3973,s3617,s2742,s3205,s3241,s3188,s1568,s3240,s3937,s146,s585,s2755]) ).
cnf(s3980,plain,
( spl0_183
| ~ spl0_163
| ~ spl0_77
| ~ spl0_1039
| ~ spl0_98 ),
inference(rat,[],[s3978,s1078,s3702,s585,s2755]) ).
cnf(s3981,plain,
( ~ spl0_183
| ~ spl0_77
| spl0_66
| ~ spl0_4 ),
inference(rat,[],[s638,s1388,s2767]) ).
cnf(s3982,plain,
( ~ spl0_184
| ~ spl0_164
| ~ spl0_77
| ~ spl0_54
| ~ spl0_4 ),
inference(rat,[],[s3786,s3784,s1080,s3795,s3570,s3439,s3506,s3422,s3417,s3394,s173,s3431,s1557,s2691,s1126,s3383,s1615,s1659,s605,s662,s3240,s86,s3937,s1597,s585,s1622,s2755,s621,s146]) ).
cnf(s3983,plain,
( ~ spl0_77
| spl0_50
| ~ spl0_4 ),
inference(rat,[],[s3152,s1080,s3787,s3786,s3784,s3795,s164,s2681,s3683,s671,s3380,s3655,s638,s3982,s544,s3980,s3702,s3981,s3240,s89,s3277,s3979,s585,s1597,s1622,s146,s2755]) ).
cnf(s3984,plain,
( spl0_183
| ~ spl0_163
| spl0_50
| ~ spl0_4 ),
inference(rat,[],[s2714,s1407,s2783,s1079,s3566,s3565,s548,s3407,s3286,s3417,s1525,s3336,s2808,s547,s3337,s3580,s3285,s1078,s3702,s3937,s3277,s3276,s3979,s1557,s3719,s3607,s2739,s88,s170,s3983,s89,s2675,s3183,s585,s1597,s146,s2755]) ).
cnf(s3985,plain,
( ~ spl0_163
| spl0_50
| ~ spl0_4 ),
inference(rat,[],[s3671,s681,s1079,s3336,s3679,s3718,s3170,s3113,s3676,s638,s1255,s2767,s3984,s3183,s3937,s3276,s3979,s3486,s170,s89,s3983,s3240,s621,s585,s1597,s146]) ).
cnf(s3986,plain,
( spl0_50
| ~ spl0_4 ),
inference(rat,[],[s1237,s3467,s3594,s3711,s3709,s544,s3985,s3486,s3487,s170,s2739,s3983,s88,s89,s3240,s3937,s585,s146]) ).
cnf(s3987,plain,
( ~ spl0_66
| ~ spl0_163
| ~ spl0_4 ),
inference(rat,[],[s2803,s1650,s3835,s2663,s130,s177,s3241,s3937,s90,s3986,s585,s146]) ).
cnf(s3988,plain,
( ~ spl0_77
| ~ spl0_163
| ~ spl0_4 ),
inference(rat,[],[s3980,s3981,s3240,s3277,s3987]) ).
cnf(s3989,plain,
( ~ spl0_163
| ~ spl0_4 ),
inference(rat,[],[s3586,s3217,s3439,s3102,s2799,s3988,s3271,s3987,s1101,s3986,s3937,s146]) ).
cnf(s3990,plain,
( ~ spl0_66
| ~ spl0_4 ),
inference(rat,[],[s662,s1650,s638,s2663,s3973,s177,s3241,s3937,s90,s3986,s544,s3989,s146]) ).
cnf(s3991,plain,
~ spl0_4,
inference(rat,[],[s1257,s3272,s3568,s3380,s2681,s3694,s3582,s131,s1250,s3271,s116,s3277,s3990,s544,s3989,s1101,s3986,s3937,s3240,s585,s1597,s146]) ).
cnf(s3992,plain,
spl0_1,
inference(rat,[],[s4,s3991]) ).
cnf(s3993,plain,
spl0_3,
inference(rat,[],[s3,s3991]) ).
cnf(s3994,plain,
spl0_2,
inference(rat,[],[s1,s3992]) ).
cnf(s3995,plain,
( spl0_50
| ~ spl0_163
| ~ spl0_66 ),
inference(rat,[],[s2704,s3226,s556,s1423,s3147,s2890,s3973,s155,s115,s1568,s146,s3991,s585,s3992]) ).
cnf(s3996,plain,
( ~ spl0_6
| ~ spl0_163
| ~ spl0_66 ),
inference(rat,[],[s2803,s1650,s3835,s1103,s130,s172,s3995,s585,s146]) ).
cnf(s3997,plain,
( spl0_186
| spl0_64
| ~ spl0_77
| ~ spl0_50 ),
inference(rat,[],[s3230,s560,s611,s3297,s146,s585]) ).
cnf(s3998,plain,
( spl0_64
| ~ spl0_77
| ~ spl0_50
| ~ spl0_163 ),
inference(rat,[],[s1256,s2953,s3702,s3232,s671,s3113,s3151,s3997,s164,s621,s2755,s585,s3991]) ).
cnf(s3999,plain,
( ~ spl0_64
| ~ spl0_50
| ~ spl0_163 ),
inference(rat,[],[s3567,s3439,s3217,s3102,s2797,s130,s2733,s1597,s146]) ).
cnf(s4000,plain,
( spl0_179
| ~ spl0_50
| ~ spl0_163
| ~ spl0_436 ),
inference(rat,[],[s2667,s3088,s2787,s1079,s2957,s1416,s3109,s2723,s559,s3228,s3230,s1562,s3231,s611,s3297,s3302,s3151,s2890,s2675,s3183,s3999,s585,s2755,s621,s146,s3991,s3992]) ).
cnf(s4001,plain,
( ~ spl0_163
| ~ spl0_66 ),
inference(rat,[],[s3108,s2787,s1079,s3074,s1407,s3073,s2723,s3208,s3203,s547,s2953,s3145,s3702,s3254,s3232,s3231,s3193,s671,s3113,s4000,s3511,s2739,s3998,s164,s3999,s1664,s3996,s3995,s3183,s1568,s585,s621,s146,s2755,s3991,s3992]) ).
cnf(s4002,plain,
( spl0_50
| ~ spl0_66 ),
inference(rat,[],[s556,s2704,s3365,s664,s3973,s155,s115,s1568,s544,s4001,s146]) ).
cnf(s4003,plain,
( spl0_179
| spl0_64
| ~ spl0_77
| ~ spl0_66 ),
inference(rat,[],[s3715,s1080,s1072,s3825,s3567,s1411,s684,s3431,s2704,s646,s3302,s664,s2890,s1568,s1198,s544,s4001,s4002,s621,s585,s146,s3992]) ).
cnf(s4004,plain,
( spl0_64
| ~ spl0_77
| ~ spl0_66 ),
inference(rat,[],[s3715,s1080,s1072,s3825,s3681,s2803,s3228,s2698,s687,s3702,s665,s671,s4003,s164,s1198,s544,s4001,s4002,s621,s585,s146,s2755]) ).
cnf(s4005,plain,
( ~ spl0_64
| ~ spl0_66 ),
inference(rat,[],[s3217,s3567,s686,s684,s2704,s2797,s130,s2733,s1568,s544,s4001,s4002,s585,s146,s1597]) ).
cnf(s4006,plain,
( spl0_179
| ~ spl0_66 ),
inference(rat,[],[s2698,s3702,s646,s658,s664,s544,s4001,s2739,s4004,s4005,s2755,s3994,s146]) ).
cnf(s4007,plain,
~ spl0_66,
inference(rat,[],[s2803,s3687,s3228,s2698,s687,s3702,s665,s671,s4006,s4004,s164,s4005,s4002,s544,s4001,s585,s146,s2755]) ).
cnf(s4012,plain,
~ spl0_77,
inference(rat,[],[s1397,s3991,s4007]) ).
cnf(s4013,plain,
spl0_82,
inference(rat,[],[s1258,s3994,s4007]) ).
cnf(s4014,plain,
spl0_57,
inference(rat,[],[s116,s4007]) ).
cnf(s4016,plain,
~ spl0_59,
inference(rat,[],[s1321,s3991,s4007]) ).
cnf(s4019,plain,
spl0_137,
inference(rat,[],[s2742,s4013]) ).
cnf(s4022,plain,
spl0_58,
inference(rat,[],[s95,s4014]) ).
cnf(s4024,plain,
spl0_67,
inference(rat,[],[s1438,s146,s4016]) ).
cnf(s4026,plain,
spl0_80,
inference(rat,[],[s124,s4016,s3994,s4022]) ).
cnf(s4028,plain,
spl0_235,
inference(rat,[],[s1439,s4026]) ).
cnf(s4029,plain,
spl0_50,
inference(rat,[],[s1080,s1409,s2858,s3402,s3359,s2794,s3404,s3243,s154,s115,s585,s3994,s4007,s4019,s1622,s1545,s3993,s4013,s1597,s4028,s4016]) ).
cnf(s4031,plain,
( spl0_169
| spl0_64 ),
inference(rat,[],[s1370,s611,s549,s3230,s146,s4029,s4024]) ).
cnf(s4032,plain,
spl0_64,
inference(rat,[],[s4031,s1407,s1079,s2844,s3258,s2728,s2723,s1569,s164,s585,s4028,s4014,s4029,s4024]) ).
cnf(s4035,plain,
~ spl0_163,
inference(rat,[],[s3999,s4029,s4032]) ).
cnf(s4036,plain,
spl0_172,
inference(rat,[],[s2799,s4012,s4029,s146,s4032]) ).
cnf(s4037,plain,
spl0_373,
inference(rat,[],[s2773,s4012,s4029,s4032]) ).
cnf(s4043,plain,
spl0_164,
inference(rat,[],[s544,s146,s4035]) ).
cnf(s4045,plain,
~ spl0_325,
inference(rat,[],[s2860,s1622,s4032,s4013,s4029,s4036]) ).
cnf(s4046,plain,
spl0_317,
inference(rat,[],[s2871,s4012,s4043,s585,s4032,s4029,s4037]) ).
cnf(s4047,plain,
~ spl0_350,
inference(rat,[],[s1198,s4043]) ).
cnf(s4049,plain,
spl0_326,
inference(rat,[],[s1080,s585,s4045]) ).
cnf(s4050,plain,
$false,
inference(rat,[],[s3715,s4047,s621,s4049,s4046]) ).
thf(f47979,plain,
$false,
inference(avatar_sat_refutation,[],[s4050]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRA172^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 19:07:03 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.12 Running higher-order theorem proving
% 0.09/0.13 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.20 % (548224)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.20 % (548248)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.09/0.20 % (548248)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.09/0.20 % (548247)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=46926072:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.09/0.20 % (548243)lrs+10_16_si=on:nwc=1.5:random_seed=1141450975:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.09/0.20 % (548244)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3260526707:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.09/0.20 % (548242)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2645889117:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.09/0.20 % (548245)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2838331949:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.09/0.20 % (548248)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2113890180:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.09/0.20 % (548246)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2632382091:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.09/0.20 % (548244)Instruction limit reached!
% 0.09/0.20 % (548244)------------------------------
% 0.09/0.20 % (548244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.20 % (548244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.20 % (548244)CaDiCaL version: 2.1.3
% 0.09/0.20 % (548244)Termination reason: Instruction limit
% 0.09/0.20 % (548244)Termination phase: Saturation
% 0.09/0.20 % (548244)Time elapsed: 0.001 s
% 0.09/0.20 % (548244)Peak memory usage: 11 MB
% 0.09/0.20 % (548244)Instructions burned: 3 (million)
% 0.09/0.20 % (548243)Instruction limit reached!
% 0.09/0.20 % (548243)------------------------------
% 0.09/0.20 % (548243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.20 % (548243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.20 % (548243)CaDiCaL version: 2.1.3
% 0.09/0.20 % (548243)Termination reason: Instruction limit
% 0.09/0.20 % (548243)Termination phase: Saturation
% 0.09/0.20 % (548243)Time elapsed: 0.005 s
% 0.09/0.20 % (548243)Peak memory usage: 11 MB
% 0.09/0.20 % (548243)Instructions burned: 20 (million)
% 0.09/0.20 % (548246)Instruction limit reached!
% 0.09/0.20 % (548246)------------------------------
% 0.09/0.20 % (548246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.20 % (548246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.20 % (548246)CaDiCaL version: 2.1.3
% 0.09/0.20 % (548246)Termination reason: Instruction limit
% 0.09/0.21 % (548246)Termination phase: Saturation
% 0.09/0.21 % (548246)Time elapsed: 0.006 s
% 0.09/0.21 % (548246)Peak memory usage: 11 MB
% 0.09/0.21 % (548246)Instructions burned: 26 (million)
% 0.09/0.21 % (548259)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1339399465:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.09/0.21 % (548259)Instruction limit reached!
% 0.09/0.21 % (548259)------------------------------
% 0.09/0.21 % (548259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.21 % (548259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.21 % (548259)CaDiCaL version: 2.1.3
% 0.09/0.21 % (548259)Termination reason: Instruction limit
% 0.09/0.21 % (548259)Termination phase: Saturation
% 0.09/0.21 % (548259)Time elapsed: 0.001 s
% 0.09/0.21 % (548259)Peak memory usage: 12 MB
% 0.09/0.21 % (548259)Instructions burned: 2 (million)
% 0.09/0.21 % (548265)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.09/0.21 % (548264)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2527470032:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.09/0.22 % (548265)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=236454694:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.09/0.22 % (548264)Instruction limit reached!
% 0.09/0.22 % (548264)------------------------------
% 0.09/0.22 % (548264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (548264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (548264)CaDiCaL version: 2.1.3
% 0.09/0.22 % (548264)Termination reason: Instruction limit
% 0.09/0.22 % (548264)Termination phase: Saturation
% 0.09/0.22 % (548264)Time elapsed: 0.002 s
% 0.09/0.22 % (548264)Peak memory usage: 11 MB
% 0.09/0.22 % (548264)Instructions burned: 6 (million)
% 0.09/0.22 % (548247)Instruction limit reached!
% 0.09/0.22 % (548247)------------------------------
% 0.09/0.22 % (548247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (548247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (548247)CaDiCaL version: 2.1.3
% 0.09/0.22 % (548247)Termination reason: Instruction limit
% 0.09/0.22 % (548247)Termination phase: Saturation
% 0.09/0.22 % (548247)Time elapsed: 0.020 s
% 0.09/0.22 % (548247)Peak memory usage: 12 MB
% 0.09/0.22 % (548247)Instructions burned: 78 (million)
% 0.09/0.22 % (548265)Instruction limit reached!
% 0.09/0.22 % (548265)------------------------------
% 0.09/0.22 % (548265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (548265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (548265)CaDiCaL version: 2.1.3
% 0.09/0.22 % (548265)Termination reason: Instruction limit
% 0.09/0.22 % (548265)Termination phase: Saturation
% 0.09/0.22 % (548265)Time elapsed: 0.003 s
% 0.09/0.22 % (548265)Peak memory usage: 12 MB
% 0.09/0.22 % (548265)Instructions burned: 10 (million)
% 0.09/0.22 % (548267)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3449622619:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.09/0.22 % (548242)Instruction limit reached!
% 0.09/0.22 % (548242)------------------------------
% 0.09/0.22 % (548242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (548242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (548242)CaDiCaL version: 2.1.3
% 0.09/0.22 % (548242)Termination reason: Instruction limit
% 0.09/0.22 % (548242)Termination phase: Saturation
% 0.09/0.22 % (548242)Time elapsed: 0.024 s
% 0.09/0.22 % (548242)Peak memory usage: 12 MB
% 0.09/0.22 % (548242)Instructions burned: 98 (million)
% 0.09/0.22 % (548270)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.09/0.22 % (548270)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.09/0.22 % (548267)Instruction limit reached!
% 0.09/0.22 % (548267)------------------------------
% 0.09/0.22 % (548267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.22 % (548267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.22 % (548267)CaDiCaL version: 2.1.3
% 0.09/0.22 % (548267)Termination reason: Instruction limit
% 0.09/0.22 % (548267)Termination phase: Saturation
% 0.09/0.22 % (548267)Time elapsed: 0.004 s
% 0.09/0.22 % (548267)Peak memory usage: 12 MB
% 0.09/0.22 % (548267)Instructions burned: 14 (million)
% 0.09/0.22 % (548270)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=329444830:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.09/0.22 % (548272)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1863783347:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.09/0.22 % (548276)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.09/0.22 % (548274)lrs+10_1_si=on:cs=on:random_seed=2108269108:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.09/0.24 % (548276)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=445701672:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.09/0.24 % (548270)Instruction limit reached!
% 0.09/0.24 % (548270)------------------------------
% 0.09/0.24 % (548270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (548270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (548270)CaDiCaL version: 2.1.3
% 0.09/0.24 % (548270)Termination reason: Instruction limit
% 0.09/0.24 % (548270)Termination phase: Saturation
% 0.09/0.24 % (548270)Time elapsed: 0.007 s
% 0.09/0.24 % (548270)Peak memory usage: 12 MB
% 0.09/0.24 % (548270)Instructions burned: 30 (million)
% 0.09/0.24 % (548276)Instruction limit reached!
% 0.09/0.24 % (548276)------------------------------
% 0.09/0.24 % (548276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (548276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (548276)CaDiCaL version: 2.1.3
% 0.09/0.24 % (548276)Termination reason: Instruction limit
% 0.09/0.24 % (548276)Termination phase: Saturation
% 0.09/0.24 % (548276)Time elapsed: 0.002 s
% 0.09/0.24 % (548276)Peak memory usage: 12 MB
% 0.09/0.24 % (548276)Instructions burned: 7 (million)
% 0.09/0.24 % (548274)Instruction limit reached!
% 0.09/0.24 % (548274)------------------------------
% 0.09/0.24 % (548274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (548274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (548274)CaDiCaL version: 2.1.3
% 0.09/0.24 % (548274)Termination reason: Instruction limit
% 0.09/0.24 % (548274)Termination phase: Saturation
% 0.09/0.24 % (548274)Time elapsed: 0.003 s
% 0.09/0.24 % (548274)Peak memory usage: 12 MB
% 0.09/0.24 % (548274)Instructions burned: 12 (million)
% 0.09/0.24 % (548280)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1303788612:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.09/0.24 % (548248)Instruction limit reached!
% 0.09/0.24 % (548248)------------------------------
% 0.09/0.24 % (548248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (548248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (548248)CaDiCaL version: 2.1.3
% 0.09/0.24 % (548248)Termination reason: Instruction limit
% 0.09/0.24 % (548248)Termination phase: Saturation
% 0.09/0.24 % (548248)Time elapsed: 0.038 s
% 0.09/0.24 % (548248)Peak memory usage: 12 MB
% 0.09/0.24 % (548248)Instructions burned: 157 (million)
% 0.09/0.24 % (548280)Refutation not found, incomplete strategy
% 0.09/0.24 % (548280)------------------------------
% 0.09/0.24 % (548280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (548280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (548280)CaDiCaL version: 2.1.3
% 0.09/0.24 % (548280)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.24 % (548280)Time elapsed: 0.0000 s
% 0.09/0.24 % (548280)Peak memory usage: 11 MB
% 0.09/0.24 % (548280)------------------------------
% 0.09/0.24 % (548280)------------------------------
% 0.09/0.24 % (548287)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2218318757:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.09/0.24 % (548287)Refutation not found, incomplete strategy
% 0.09/0.24 % (548287)------------------------------
% 0.09/0.24 % (548287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (548287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (548287)CaDiCaL version: 2.1.3
% 0.09/0.24 % (548287)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.24 % (548287)Time elapsed: 0.0000 s
% 0.09/0.24 % (548287)Peak memory usage: 11 MB
% 0.09/0.24 % (548287)------------------------------
% 0.09/0.24 % (548287)------------------------------
% 0.09/0.24 % (548291)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=798619299:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.09/0.24 % (548292)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=47880213:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.09/0.24 % (548292)Refutation not found, incomplete strategy
% 0.67/0.27 % (548292)------------------------------
% 0.67/0.27 % (548292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.27 % (548292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.27 % (548292)CaDiCaL version: 2.1.3
% 0.67/0.27 % (548292)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.27 % (548292)Time elapsed: 0.0000 s
% 0.67/0.27 % (548292)Peak memory usage: 12 MB
% 0.67/0.27 % (548293)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=862716597:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.67/0.27 % (548292)------------------------------
% 0.67/0.27 % (548292)------------------------------
% 0.67/0.27 % (548290)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=539760525:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.67/0.27 % (548290)Refutation not found, incomplete strategy
% 0.67/0.27 % (548290)------------------------------
% 0.67/0.27 % (548290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.27 % (548290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.27 % (548290)CaDiCaL version: 2.1.3
% 0.67/0.27 % (548290)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.27 % (548290)Time elapsed: 0.0000 s
% 0.67/0.27 % (548290)Peak memory usage: 11 MB
% 0.67/0.27 % (548290)------------------------------
% 0.67/0.27 % (548290)------------------------------
% 0.67/0.27 % (548272)Instruction limit reached!
% 0.67/0.27 % (548272)------------------------------
% 0.67/0.27 % (548272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.27 % (548272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.27 % (548272)CaDiCaL version: 2.1.3
% 0.67/0.27 % (548272)Termination reason: Instruction limit
% 0.67/0.27 % (548272)Termination phase: Saturation
% 0.67/0.27 % (548272)Time elapsed: 0.022 s
% 0.67/0.27 % (548272)Peak memory usage: 12 MB
% 0.67/0.27 % (548272)Instructions burned: 88 (million)
% 0.67/0.27 % (548293)Instruction limit reached!
% 0.67/0.27 % (548293)------------------------------
% 0.67/0.27 % (548293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.27 % (548293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.27 % (548293)CaDiCaL version: 2.1.3
% 0.67/0.27 % (548293)Termination reason: Instruction limit
% 0.67/0.27 % (548293)Termination phase: Saturation
% 0.67/0.27 % (548293)Time elapsed: 0.004 s
% 0.67/0.27 % (548293)Peak memory usage: 12 MB
% 0.67/0.27 % (548293)Instructions burned: 15 (million)
% 0.67/0.27 % (548291)Instruction limit reached!
% 0.67/0.27 % (548291)------------------------------
% 0.67/0.27 % (548291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.27 % (548291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.27 % (548291)CaDiCaL version: 2.1.3
% 0.67/0.27 % (548291)Termination reason: Instruction limit
% 0.67/0.27 % (548291)Termination phase: Saturation
% 0.67/0.27 % (548291)Time elapsed: 0.005 s
% 0.67/0.27 % (548291)Peak memory usage: 12 MB
% 0.67/0.27 % (548291)Instructions burned: 14 (million)
% 0.67/0.27 % (548300)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1928388366:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.67/0.27 % (548300)Refutation not found, incomplete strategy
% 0.67/0.27 % (548300)------------------------------
% 0.67/0.27 % (548300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.27 % (548300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.27 % (548300)CaDiCaL version: 2.1.3
% 0.67/0.27 % (548300)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.27 % (548300)Time elapsed: 0.0000 s
% 0.67/0.27 % (548300)Peak memory usage: 11 MB
% 0.67/0.27 % (548300)------------------------------
% 0.67/0.27 % (548300)------------------------------
% 0.67/0.27 % (548311)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.67/0.27 % (548311)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.67/0.27 % (548312)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.67/0.29 % (548309)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1500084407:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.67/0.29 % (548311)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3065250216:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.67/0.29 % (548312)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3411576933:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.67/0.29 % (548305)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2022318201:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.67/0.29 % (548312)Instruction limit reached!
% 0.67/0.29 % (548312)------------------------------
% 0.67/0.29 % (548312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.29 % (548312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.29 % (548312)CaDiCaL version: 2.1.3
% 0.67/0.29 % (548312)Termination reason: Instruction limit
% 0.67/0.29 % (548312)Termination phase: Saturation
% 0.67/0.29 % (548312)Time elapsed: 0.003 s
% 0.67/0.29 % (548312)Peak memory usage: 12 MB
% 0.67/0.29 % (548312)Instructions burned: 9 (million)
% 0.67/0.29 % (548311)Instruction limit reached!
% 0.67/0.29 % (548311)------------------------------
% 0.67/0.29 % (548311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.29 % (548311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.29 % (548311)CaDiCaL version: 2.1.3
% 0.67/0.29 % (548311)Termination reason: Instruction limit
% 0.67/0.29 % (548311)Termination phase: Saturation
% 0.67/0.29 % (548311)Time elapsed: 0.005 s
% 0.67/0.29 % (548311)Peak memory usage: 12 MB
% 0.67/0.29 % (548311)Instructions burned: 16 (million)
% 0.67/0.29 % (548316)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=913765827:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2999 on theBenchmark for (2999ds/31Mi)
% 0.67/0.29 % (548308)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2444212271:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.67/0.29 % (548309)Instruction limit reached!
% 0.67/0.29 % (548309)------------------------------
% 0.67/0.29 % (548309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.29 % (548309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.29 % (548309)CaDiCaL version: 2.1.3
% 0.67/0.29 % (548309)Termination reason: Instruction limit
% 0.67/0.29 % (548309)Termination phase: Saturation
% 0.67/0.29 % (548309)Time elapsed: 0.014 s
% 0.67/0.29 % (548309)Peak memory usage: 12 MB
% 0.67/0.29 % (548309)Instructions burned: 64 (million)
% 0.67/0.29 % (548308)Instruction limit reached!
% 0.67/0.29 % (548308)------------------------------
% 0.67/0.29 % (548308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.29 % (548308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.29 % (548308)CaDiCaL version: 2.1.3
% 0.67/0.29 % (548308)Termination reason: Instruction limit
% 0.67/0.29 % (548308)Termination phase: Saturation
% 0.67/0.29 % (548308)Time elapsed: 0.006 s
% 0.67/0.29 % (548308)Peak memory usage: 11 MB
% 0.67/0.29 % (548308)Instructions burned: 26 (million)
% 0.67/0.29 % (548305)Instruction limit reached!
% 0.67/0.29 % (548305)------------------------------
% 0.67/0.29 % (548305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.29 % (548305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.29 % (548305)CaDiCaL version: 2.1.3
% 0.67/0.29 % (548305)Termination reason: Instruction limit
% 0.67/0.29 % (548305)Termination phase: Saturation
% 0.67/0.29 % (548305)Time elapsed: 0.012 s
% 0.67/0.29 % (548305)Peak memory usage: 11 MB
% 0.67/0.29 % (548305)Instructions burned: 26 (million)
% 0.67/0.29 % (548324)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=830114016:i=7:hud=5:bd=preordered:rtra=on:bet=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.67/0.29 % (548316)Instruction limit reached!
% 0.67/0.29 % (548316)------------------------------
% 0.67/0.29 % (548316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.35 % (548316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.35 % (548316)CaDiCaL version: 2.1.3
% 0.67/0.35 % (548316)Termination reason: Instruction limit
% 0.67/0.35 % (548316)Termination phase: Saturation
% 0.67/0.35 % (548316)Time elapsed: 0.011 s
% 0.67/0.35 % (548316)Peak memory usage: 12 MB
% 0.67/0.35 % (548316)Instructions burned: 32 (million)
% 0.67/0.35 % (548327)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2187304115:i=23:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.67/0.35 % (548324)Instruction limit reached!
% 0.67/0.35 % (548324)------------------------------
% 0.67/0.35 % (548324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.35 % (548324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.35 % (548324)CaDiCaL version: 2.1.3
% 0.67/0.35 % (548324)Termination reason: Instruction limit
% 0.67/0.35 % (548324)Termination phase: Saturation
% 0.67/0.35 % (548324)Time elapsed: 0.004 s
% 0.67/0.35 % (548324)Peak memory usage: 12 MB
% 0.67/0.35 % (548324)Instructions burned: 9 (million)
% 0.67/0.35 % (548327)Instruction limit reached!
% 0.67/0.35 % (548327)------------------------------
% 0.67/0.35 % (548327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.35 % (548327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.35 % (548327)CaDiCaL version: 2.1.3
% 0.67/0.35 % (548327)Termination reason: Instruction limit
% 0.67/0.35 % (548327)Termination phase: Saturation
% 0.67/0.35 % (548327)Time elapsed: 0.010 s
% 0.67/0.35 % (548327)Peak memory usage: 12 MB
% 0.67/0.35 % (548327)Instructions burned: 24 (million)
% 0.67/0.35 % (548341)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1913203416:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 0.67/0.35 % (548344)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=511139014:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 0.67/0.35 % (548345)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1305710987:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 0.67/0.35 % (548343)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3616660089:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 0.67/0.35 % (548345)Refutation not found, incomplete strategy
% 0.67/0.35 % (548345)------------------------------
% 0.67/0.35 % (548345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.35 % (548345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.35 % (548345)CaDiCaL version: 2.1.3
% 0.67/0.35 % (548345)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.35 % (548345)Time elapsed: 0.0000 s
% 0.67/0.35 % (548345)Peak memory usage: 11 MB
% 0.67/0.35 % (548345)------------------------------
% 0.67/0.35 % (548345)------------------------------
% 0.67/0.35 % (548354)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.35 % (548347)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=599962939:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 0.67/0.35 % (548354)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3899992501:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 0.67/0.35 % (548354)Instruction limit reached!
% 0.67/0.35 % (548354)------------------------------
% 0.67/0.35 % (548354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.35 % (548354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.35 % (548354)CaDiCaL version: 2.1.3
% 0.67/0.35 % (548354)Termination reason: Instruction limit
% 0.67/0.35 % (548354)Termination phase: Saturation
% 0.67/0.35 % (548354)Time elapsed: 0.003 s
% 0.67/0.35 % (548354)Peak memory usage: 12 MB
% 0.67/0.35 % (548354)Instructions burned: 9 (million)
% 0.67/0.35 % (548341)Instruction limit reached!
% 0.67/0.35 % (548341)------------------------------
% 0.67/0.35 % (548341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.35 % (548341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.40 % (548341)CaDiCaL version: 2.1.3
% 1.23/0.40 % (548341)Termination reason: Instruction limit
% 1.23/0.40 % (548341)Termination phase: Saturation
% 1.23/0.40 % (548341)Time elapsed: 0.010 s
% 1.23/0.40 % (548341)Peak memory usage: 12 MB
% 1.23/0.40 % (548341)Instructions burned: 21 (million)
% 1.23/0.40 % (548361)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1936831535:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.23/0.40 % (548361)Refutation not found, incomplete strategy
% 1.23/0.40 % (548361)------------------------------
% 1.23/0.40 % (548361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.40 % (548361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.40 % (548361)CaDiCaL version: 2.1.3
% 1.23/0.40 % (548361)Termination reason: Refutation not found, incomplete strategy
% 1.23/0.40 % (548361)Time elapsed: 0.0000 s
% 1.23/0.40 % (548361)Peak memory usage: 11 MB
% 1.23/0.40 % (548364)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=800564483:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.23/0.40 % (548361)------------------------------
% 1.23/0.40 % (548361)------------------------------
% 1.23/0.40 % (548364)Refutation not found, incomplete strategy
% 1.23/0.40 % (548364)------------------------------
% 1.23/0.40 % (548364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.40 % (548364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.40 % (548364)CaDiCaL version: 2.1.3
% 1.23/0.40 % (548364)Termination reason: Refutation not found, incomplete strategy
% 1.23/0.40 % (548364)Time elapsed: 0.0000 s
% 1.23/0.40 % (548364)Peak memory usage: 12 MB
% 1.23/0.40 % (548364)------------------------------
% 1.23/0.40 % (548364)------------------------------
% 1.23/0.40 % (548347)Instruction limit reached!
% 1.23/0.40 % (548347)------------------------------
% 1.23/0.40 % (548347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.40 % (548347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.40 % (548347)CaDiCaL version: 2.1.3
% 1.23/0.40 % (548347)Termination reason: Instruction limit
% 1.23/0.40 % (548347)Termination phase: Saturation
% 1.23/0.40 % (548347)Time elapsed: 0.018 s
% 1.23/0.40 % (548347)Peak memory usage: 12 MB
% 1.23/0.40 % (548347)Instructions burned: 43 (million)
% 1.23/0.40 % (548365)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.23/0.40 % (548365)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2453096333:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.23/0.40 % (548365)Refutation not found, incomplete strategy
% 1.23/0.40 % (548365)------------------------------
% 1.23/0.40 % (548365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.40 % (548365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.40 % (548365)CaDiCaL version: 2.1.3
% 1.23/0.40 % (548365)Termination reason: Refutation not found, incomplete strategy
% 1.23/0.40 % (548365)Time elapsed: 0.001 s
% 1.23/0.40 % (548365)Peak memory usage: 11 MB
% 1.23/0.40 % (548365)Instructions burned: 1 (million)
% 1.23/0.40 % (548365)------------------------------
% 1.23/0.40 % (548365)------------------------------
% 1.23/0.40 % (548371)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=377780897:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.23/0.40 % (548371)Refutation not found, incomplete strategy
% 1.23/0.40 % (548371)------------------------------
% 1.23/0.40 % (548371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.40 % (548371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.40 % (548371)CaDiCaL version: 2.1.3
% 1.23/0.40 % (548371)Termination reason: Refutation not found, incomplete strategy
% 1.23/0.40 % (548371)Time elapsed: 0.001 s
% 1.23/0.40 % (548371)Peak memory usage: 12 MB
% 1.23/0.40 % (548371)Instructions burned: 2 (million)
% 1.23/0.40 % (548371)------------------------------
% 1.23/0.40 % (548371)------------------------------
% 1.23/0.40 % (548370)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1392374361:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.23/0.44 % (548372)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=3631457857:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.23/0.44 % (548375)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=3105379455:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.23/0.44 % (548370)Instruction limit reached!
% 1.23/0.44 % (548370)------------------------------
% 1.23/0.44 % (548370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.44 % (548370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.44 % (548370)CaDiCaL version: 2.1.3
% 1.23/0.44 % (548370)Termination reason: Instruction limit
% 1.23/0.44 % (548370)Termination phase: Saturation
% 1.23/0.44 % (548370)Time elapsed: 0.011 s
% 1.23/0.44 % (548370)Peak memory usage: 12 MB
% 1.23/0.44 % (548370)Instructions burned: 22 (million)
% 1.23/0.44 % (548378)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=963134222:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 1.23/0.44 % (548344)Instruction limit reached!
% 1.23/0.44 % (548344)------------------------------
% 1.23/0.44 % (548344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.44 % (548344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.44 % (548344)CaDiCaL version: 2.1.3
% 1.23/0.44 % (548344)Termination reason: Instruction limit
% 1.23/0.44 % (548344)Termination phase: Saturation
% 1.23/0.44 % (548344)Time elapsed: 0.053 s
% 1.23/0.44 % (548344)Peak memory usage: 12 MB
% 1.23/0.44 % (548344)Instructions burned: 144 (million)
% 1.23/0.44 % (548385)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1581075171:i=480:rtra=on_2998 on theBenchmark for (2998ds/480Mi)
% 1.23/0.44 % (548385)Refutation not found, incomplete strategy
% 1.23/0.44 % (548385)------------------------------
% 1.23/0.44 % (548385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.44 % (548385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.44 % (548385)CaDiCaL version: 2.1.3
% 1.23/0.44 % (548385)Termination reason: Refutation not found, incomplete strategy
% 1.23/0.44 % (548385)Time elapsed: 0.001 s
% 1.23/0.44 % (548385)Peak memory usage: 11 MB
% 1.23/0.44 % (548385)Instructions burned: 1 (million)
% 1.23/0.44 % (548385)------------------------------
% 1.23/0.44 % (548385)------------------------------
% 1.23/0.44 % (548387)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1350574618:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/21Mi)
% 1.23/0.44 % (548378)Instruction limit reached!
% 1.23/0.44 % (548378)------------------------------
% 1.23/0.44 % (548378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.44 % (548378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.44 % (548378)CaDiCaL version: 2.1.3
% 1.23/0.44 % (548378)Termination reason: Instruction limit
% 1.23/0.44 % (548378)Termination phase: Saturation
% 1.23/0.44 % (548378)Time elapsed: 0.029 s
% 1.23/0.44 % (548378)Peak memory usage: 12 MB
% 1.23/0.44 % (548378)Instructions burned: 47 (million)
% 1.23/0.44 % (548387)Instruction limit reached!
% 1.23/0.44 % (548387)------------------------------
% 1.23/0.44 % (548387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.44 % (548387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.44 % (548387)CaDiCaL version: 2.1.3
% 1.23/0.44 % (548387)Termination reason: Instruction limit
% 1.23/0.44 % (548387)Termination phase: Saturation
% 1.23/0.44 % (548387)Time elapsed: 0.010 s
% 1.23/0.44 % (548387)Peak memory usage: 12 MB
% 1.23/0.44 % (548387)Instructions burned: 22 (million)
% 1.23/0.44 % (548393)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.23/0.44 % (548393)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2470750242:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/200Mi)
% 2.23/0.48 % (548245)Instruction limit reached!
% 2.23/0.48 % (548245)------------------------------
% 2.23/0.48 % (548245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.48 % (548245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.48 % (548245)CaDiCaL version: 2.1.3
% 2.23/0.48 % (548245)Termination reason: Instruction limit
% 2.23/0.48 % (548245)Termination phase: Saturation
% 2.23/0.48 % (548245)Time elapsed: 0.200 s
% 2.23/0.48 % (548245)Peak memory usage: 12 MB
% 2.23/0.48 % (548245)Instructions burned: 636 (million)
% 2.23/0.48 % (548394)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1689419333:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.23/0.48 % (548395)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3076109715:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.23/0.48 % (548394)Instruction limit reached!
% 2.23/0.48 % (548394)------------------------------
% 2.23/0.48 % (548394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.48 % (548394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.48 % (548394)CaDiCaL version: 2.1.3
% 2.23/0.48 % (548394)Termination reason: Instruction limit
% 2.23/0.48 % (548394)Termination phase: Saturation
% 2.23/0.48 % (548394)Time elapsed: 0.007 s
% 2.23/0.48 % (548394)Peak memory usage: 12 MB
% 2.23/0.48 % (548394)Instructions burned: 15 (million)
% 2.23/0.48 % (548401)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2942455624:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.23/0.48 % (548401)Refutation not found, incomplete strategy
% 2.23/0.48 % (548401)------------------------------
% 2.23/0.48 % (548401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.48 % (548401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.48 % (548401)CaDiCaL version: 2.1.3
% 2.23/0.48 % (548401)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.48 % (548401)Time elapsed: 0.0000 s
% 2.23/0.48 % (548401)Peak memory usage: 11 MB
% 2.23/0.48 % (548401)Instructions burned: 1 (million)
% 2.23/0.48 % (548401)------------------------------
% 2.23/0.48 % (548401)------------------------------
% 2.23/0.48 % (548408)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2165800883:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.23/0.48 % (548405)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3323154419:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.23/0.48 % (548395)Instruction limit reached!
% 2.23/0.48 % (548395)------------------------------
% 2.23/0.48 % (548395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.48 % (548395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.48 % (548395)CaDiCaL version: 2.1.3
% 2.23/0.48 % (548395)Termination reason: Instruction limit
% 2.23/0.48 % (548395)Termination phase: Saturation
% 2.23/0.48 % (548395)Time elapsed: 0.029 s
% 2.23/0.48 % (548395)Peak memory usage: 13 MB
% 2.23/0.48 % (548395)Instructions burned: 67 (million)
% 2.23/0.48 % (548405)Instruction limit reached!
% 2.23/0.48 % (548405)------------------------------
% 2.23/0.48 % (548405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.48 % (548405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.48 % (548405)CaDiCaL version: 2.1.3
% 2.23/0.48 % (548405)Termination reason: Instruction limit
% 2.23/0.48 % (548405)Termination phase: Saturation
% 2.23/0.48 % (548405)Time elapsed: 0.015 s
% 2.23/0.48 % (548405)Peak memory usage: 12 MB
% 2.23/0.48 % (548405)Instructions burned: 31 (million)
% 2.23/0.48 % (548393)Instruction limit reached!
% 2.23/0.48 % (548393)------------------------------
% 2.23/0.48 % (548393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.48 % (548393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.48 % (548393)CaDiCaL version: 2.1.3
% 2.23/0.48 % (548393)Termination reason: Instruction limit
% 2.23/0.48 % (548393)Termination phase: Saturation
% 2.23/0.48 % (548393)Time elapsed: 0.058 s
% 2.23/0.53 % (548393)Peak memory usage: 11 MB
% 2.23/0.53 % (548393)Instructions burned: 200 (million)
% 2.23/0.53 % (548412)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3243652644:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.23/0.53 % (548414)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1895808683:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 2.23/0.53 % (548414)Refutation not found, incomplete strategy
% 2.23/0.53 % (548414)------------------------------
% 2.23/0.53 % (548414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.53 % (548414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.53 % (548414)CaDiCaL version: 2.1.3
% 2.23/0.53 % (548414)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.53 % (548414)Time elapsed: 0.0000 s
% 2.23/0.53 % (548414)Peak memory usage: 11 MB
% 2.23/0.53 % (548414)Instructions burned: 1 (million)
% 2.23/0.53 % (548414)------------------------------
% 2.23/0.53 % (548414)------------------------------
% 2.23/0.53 % (548372)Instruction limit reached!
% 2.23/0.53 % (548372)------------------------------
% 2.23/0.53 % (548372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.53 % (548372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.53 % (548372)CaDiCaL version: 2.1.3
% 2.23/0.53 % (548372)Termination reason: Instruction limit
% 2.23/0.53 % (548372)Termination phase: Saturation
% 2.23/0.53 % (548372)Time elapsed: 0.119 s
% 2.23/0.53 % (548372)Peak memory usage: 13 MB
% 2.23/0.53 % (548372)Instructions burned: 317 (million)
% 2.23/0.53 % (548415)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.23/0.53 % (548415)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=831685202:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2997 on theBenchmark for (2997ds/180Mi)
% 2.23/0.53 % (548419)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3006095372:st=2:i=246:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/246Mi)
% 2.23/0.53 % (548412)Instruction limit reached!
% 2.23/0.53 % (548412)------------------------------
% 2.23/0.53 % (548412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.53 % (548412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.53 % (548419)Refutation not found, incomplete strategy
% 2.23/0.53 % (548419)------------------------------
% 2.23/0.53 % (548419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.53 % (548412)CaDiCaL version: 2.1.3
% 2.23/0.53 % (548419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.53 % (548412)Termination reason: Instruction limit
% 2.23/0.53 % (548412)Termination phase: Saturation
% 2.23/0.53 % (548412)Time elapsed: 0.017 s
% 2.23/0.53 % (548419)CaDiCaL version: 2.1.3
% 2.23/0.53 % (548412)Peak memory usage: 12 MB
% 2.23/0.53 % (548419)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.53 % (548419)Time elapsed: 0.0000 s
% 2.23/0.53 % (548412)Instructions burned: 35 (million)
% 2.23/0.53 % (548419)Peak memory usage: 11 MB
% 2.23/0.53 % (548419)------------------------------
% 2.23/0.53 % (548419)------------------------------
% 2.23/0.53 % (548408)Instruction limit reached!
% 2.23/0.53 % (548408)------------------------------
% 2.23/0.53 % (548408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.53 % (548408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.53 % (548408)CaDiCaL version: 2.1.3
% 2.23/0.53 % (548408)Termination reason: Instruction limit
% 2.23/0.53 % (548408)Termination phase: Saturation
% 2.23/0.53 % (548408)Time elapsed: 0.040 s
% 2.23/0.53 % (548408)Peak memory usage: 12 MB
% 2.23/0.53 % (548408)Instructions burned: 138 (million)
% 2.23/0.53 % (548420)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1394177154:cond=on:i=96:bd=all:rtra=on_2997 on theBenchmark for (2997ds/96Mi)
% 2.23/0.53 % (548424)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2723125063:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/874Mi)
% 2.23/0.53 % (548424)Refutation not found, incomplete strategy
% 2.23/0.53 % (548424)------------------------------
% 2.23/0.53 % (548424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.59 % (548424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.59 % (548424)CaDiCaL version: 2.1.3
% 2.91/0.59 % (548424)Termination reason: Refutation not found, incomplete strategy
% 2.91/0.59 % (548424)Time elapsed: 0.0000 s
% 2.91/0.59 % (548424)Peak memory usage: 12 MB
% 2.91/0.59 % (548423)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1039776727:i=427:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/427Mi)
% 2.91/0.59 % (548424)------------------------------
% 2.91/0.59 % (548424)------------------------------
% 2.91/0.59 % (548425)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1152692695:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/515Mi)
% 2.91/0.59 % (548423)Refutation not found, incomplete strategy
% 2.91/0.59 % (548423)------------------------------
% 2.91/0.59 % (548423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.59 % (548423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.59 % (548423)CaDiCaL version: 2.1.3
% 2.91/0.59 % (548423)Termination reason: Refutation not found, incomplete strategy
% 2.91/0.59 % (548423)Time elapsed: 0.0000 s
% 2.91/0.59 % (548423)Peak memory usage: 11 MB
% 2.91/0.59 % (548423)------------------------------
% 2.91/0.59 % (548423)------------------------------
% 2.91/0.59 % (548425)Refutation not found, incomplete strategy
% 2.91/0.59 % (548425)------------------------------
% 2.91/0.59 % (548425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.59 % (548425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.59 % (548425)CaDiCaL version: 2.1.3
% 2.91/0.59 % (548425)Termination reason: Refutation not found, incomplete strategy
% 2.91/0.59 % (548425)Time elapsed: 0.0000 s
% 2.91/0.59 % (548425)Peak memory usage: 12 MB
% 2.91/0.59 % (548425)------------------------------
% 2.91/0.59 % (548425)------------------------------
% 2.91/0.59 % (548430)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2594055064:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 2.91/0.59 % (548431)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2585288971:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 2.91/0.59 % (548430)Refutation not found, incomplete strategy
% 2.91/0.59 % (548430)------------------------------
% 2.91/0.59 % (548430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.59 % (548430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.59 % (548430)CaDiCaL version: 2.1.3
% 2.91/0.59 % (548430)Termination reason: Refutation not found, incomplete strategy
% 2.91/0.59 % (548430)Time elapsed: 0.001 s
% 2.91/0.59 % (548430)Peak memory usage: 11 MB
% 2.91/0.59 % (548430)Instructions burned: 1 (million)
% 2.91/0.59 % (548430)------------------------------
% 2.91/0.59 % (548430)------------------------------
% 2.91/0.59 % (548432)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=940592104:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 2.91/0.59 % (548432)Refutation not found, incomplete strategy
% 2.91/0.59 % (548432)------------------------------
% 2.91/0.59 % (548432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.59 % (548432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.59 % (548432)CaDiCaL version: 2.1.3
% 2.91/0.59 % (548432)Termination reason: Refutation not found, incomplete strategy
% 2.91/0.59 % (548432)Time elapsed: 0.001 s
% 2.91/0.59 % (548432)Peak memory usage: 12 MB
% 2.91/0.59 % (548432)Instructions burned: 1 (million)
% 2.91/0.59 % (548432)------------------------------
% 2.91/0.59 % (548432)------------------------------
% 2.91/0.59 % (548435)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2058357627:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 2.91/0.59 % (548431)Instruction limit reached!
% 2.91/0.59 % (548431)------------------------------
% 2.91/0.59 % (548431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.59 % (548431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.59 % (548431)CaDiCaL version: 2.1.3
% 2.91/0.59 % (548431)Termination reason: Instruction limit
% 2.91/0.59 % (548431)Termination phase: Saturation
% 2.91/0.59 % (548431)Time elapsed: 0.019 s
% 2.91/0.59 % (548431)Peak memory usage: 12 MB
% 3.22/0.67 % (548431)Instructions burned: 48 (million)
% 3.22/0.67 % (548437)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2445259287:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/95Mi)
% 3.22/0.67 % (548420)Instruction limit reached!
% 3.22/0.67 % (548420)------------------------------
% 3.22/0.67 % (548420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.67 % (548420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.67 % (548420)CaDiCaL version: 2.1.3
% 3.22/0.67 % (548420)Termination reason: Instruction limit
% 3.22/0.67 % (548420)Termination phase: Saturation
% 3.22/0.67 % (548420)Time elapsed: 0.054 s
% 3.22/0.67 % (548420)Peak memory usage: 12 MB
% 3.22/0.67 % (548420)Instructions burned: 96 (million)
% 3.22/0.67 % (548440)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3316458167:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2996 on theBenchmark for (2996ds/65Mi)
% 3.22/0.67 % (548415)Instruction limit reached!
% 3.22/0.67 % (548415)------------------------------
% 3.22/0.67 % (548415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.67 % (548415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.67 % (548415)CaDiCaL version: 2.1.3
% 3.22/0.67 % (548415)Termination reason: Instruction limit
% 3.22/0.67 % (548415)Termination phase: Saturation
% 3.22/0.67 % (548415)Time elapsed: 0.076 s
% 3.22/0.67 % (548415)Peak memory usage: 12 MB
% 3.22/0.67 % (548415)Instructions burned: 180 (million)
% 3.22/0.67 % (548442)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2901964740:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2996 on theBenchmark for (2996ds/105Mi)
% 3.22/0.67 % (548446)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=3395573499:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2996 on theBenchmark for (2996ds/5755Mi)
% 3.22/0.67 % (548446)Refutation not found, incomplete strategy
% 3.22/0.67 % (548446)------------------------------
% 3.22/0.67 % (548446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.67 % (548446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.67 % (548446)CaDiCaL version: 2.1.3
% 3.22/0.67 % (548446)Termination reason: Refutation not found, incomplete strategy
% 3.22/0.67 % (548446)Time elapsed: 0.0000 s
% 3.22/0.67 % (548446)Peak memory usage: 12 MB
% 3.22/0.67 % (548446)------------------------------
% 3.22/0.67 % (548446)------------------------------
% 3.22/0.67 % (548440)Instruction limit reached!
% 3.22/0.67 % (548440)------------------------------
% 3.22/0.67 % (548440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.67 % (548440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.67 % (548440)CaDiCaL version: 2.1.3
% 3.22/0.67 % (548440)Termination reason: Instruction limit
% 3.22/0.67 % (548440)Termination phase: Saturation
% 3.22/0.67 % (548440)Time elapsed: 0.022 s
% 3.22/0.67 % (548440)Peak memory usage: 12 MB
% 3.22/0.67 % (548440)Instructions burned: 66 (million)
% 3.22/0.67 % (548437)Instruction limit reached!
% 3.22/0.67 % (548437)------------------------------
% 3.22/0.67 % (548437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.67 % (548437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.67 % (548437)CaDiCaL version: 2.1.3
% 3.22/0.67 % (548437)Termination reason: Instruction limit
% 3.22/0.67 % (548437)Termination phase: Saturation
% 3.22/0.67 % (548437)Time elapsed: 0.037 s
% 3.22/0.67 % (548437)Peak memory usage: 12 MB
% 3.22/0.67 % (548437)Instructions burned: 97 (million)
% 3.22/0.67 % (548451)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1946536712:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/375Mi)
% 3.22/0.67 % (548451)Refutation not found, incomplete strategy
% 3.22/0.67 % (548451)------------------------------
% 3.22/0.67 % (548451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.67 % (548451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.73 % (548451)CaDiCaL version: 2.1.3
% 3.49/0.73 % (548451)Termination reason: Refutation not found, incomplete strategy
% 3.49/0.73 % (548451)Time elapsed: 0.0000 s
% 3.49/0.73 % (548451)Peak memory usage: 11 MB
% 3.49/0.73 % (548451)------------------------------
% 3.49/0.73 % (548451)------------------------------
% 3.49/0.73 % (548452)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2776990432:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/495Mi)
% 3.49/0.73 % (548456)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3740360514:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/91Mi)
% 3.49/0.73 % (548454)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=755632373:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.49/0.73 % (548454)Instruction limit reached!
% 3.49/0.73 % (548454)------------------------------
% 3.49/0.73 % (548454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.73 % (548454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.73 % (548454)CaDiCaL version: 2.1.3
% 3.49/0.73 % (548454)Termination reason: Instruction limit
% 3.49/0.73 % (548454)Termination phase: Saturation
% 3.49/0.73 % (548454)Time elapsed: 0.017 s
% 3.49/0.73 % (548454)Peak memory usage: 12 MB
% 3.49/0.73 % (548454)Instructions burned: 34 (million)
% 3.49/0.73 % (548442)Instruction limit reached!
% 3.49/0.73 % (548442)------------------------------
% 3.49/0.73 % (548442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.73 % (548442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.73 % (548442)CaDiCaL version: 2.1.3
% 3.49/0.73 % (548442)Termination reason: Instruction limit
% 3.49/0.73 % (548442)Termination phase: Saturation
% 3.49/0.73 % (548442)Time elapsed: 0.062 s
% 3.49/0.73 % (548442)Peak memory usage: 13 MB
% 3.49/0.73 % (548442)Instructions burned: 107 (million)
% 3.49/0.73 % (548456)Instruction limit reached!
% 3.49/0.73 % (548456)------------------------------
% 3.49/0.73 % (548456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.73 % (548456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.73 % (548456)CaDiCaL version: 2.1.3
% 3.49/0.73 % (548456)Termination reason: Instruction limit
% 3.49/0.73 % (548456)Termination phase: Saturation
% 3.49/0.73 % (548456)Time elapsed: 0.035 s
% 3.49/0.73 % (548456)Peak memory usage: 12 MB
% 3.49/0.73 % (548456)Instructions burned: 91 (million)
% 3.49/0.73 % (548464)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2702993394:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.49/0.73 % (548464)Refutation not found, incomplete strategy
% 3.49/0.73 % (548464)------------------------------
% 3.49/0.73 % (548464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.73 % (548464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.73 % (548464)CaDiCaL version: 2.1.3
% 3.49/0.73 % (548464)Termination reason: Refutation not found, incomplete strategy
% 3.49/0.73 % (548464)Time elapsed: 0.0000 s
% 3.49/0.73 % (548464)Peak memory usage: 11 MB
% 3.49/0.73 % (548464)------------------------------
% 3.49/0.73 % (548464)------------------------------
% 3.49/0.73 % (548375)Instruction limit reached!
% 3.49/0.73 % (548375)------------------------------
% 3.49/0.73 % (548375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.73 % (548375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.73 % (548375)CaDiCaL version: 2.1.3
% 3.49/0.73 % (548375)Termination reason: Instruction limit
% 3.49/0.73 % (548375)Termination phase: Saturation
% 3.49/0.73 % (548375)Time elapsed: 0.275 s
% 3.49/0.73 % (548375)Peak memory usage: 13 MB
% 3.49/0.73 % (548375)Instructions burned: 853 (million)
% 3.49/0.73 % (548465)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4174476965:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.49/0.73 % (548468)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1456934326:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/28Mi)
% 3.49/0.73 % (548468)Refutation not found, incomplete strategy
% 3.49/0.73 % (548468)------------------------------
% 3.49/0.73 % (548468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.79 % (548468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.79 % (548468)CaDiCaL version: 2.1.3
% 3.49/0.79 % (548468)Termination reason: Refutation not found, incomplete strategy
% 3.49/0.79 % (548468)Time elapsed: 0.0000 s
% 3.49/0.79 % (548468)Peak memory usage: 12 MB
% 3.49/0.79 % (548466)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=2529244116:i=338:bd=all:ins=4:rtra=on_2995 on theBenchmark for (2995ds/338Mi)
% 3.49/0.79 % (548468)------------------------------
% 3.49/0.79 % (548468)------------------------------
% 3.49/0.79 % (548469)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 3.49/0.79 % (548469)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2797659971:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.49/0.79 % (548465)Instruction limit reached!
% 3.49/0.79 % (548465)------------------------------
% 3.49/0.79 % (548465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.79 % (548465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.79 % (548465)CaDiCaL version: 2.1.3
% 3.49/0.79 % (548465)Termination reason: Instruction limit
% 3.49/0.79 % (548465)Termination phase: Saturation
% 3.49/0.79 % (548465)Time elapsed: 0.010 s
% 3.49/0.79 % (548465)Peak memory usage: 12 MB
% 3.49/0.79 % (548465)Instructions burned: 22 (million)
% 3.49/0.79 % (548473)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=1787490090:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2995 on theBenchmark for (2995ds/340Mi)
% 3.49/0.79 % (548475)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=152636414:i=227:sd=1:bd=all:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/227Mi)
% 3.49/0.79 % (548475)Refutation not found, incomplete strategy
% 3.49/0.79 % (548475)------------------------------
% 3.49/0.79 % (548475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.79 % (548475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.79 % (548475)CaDiCaL version: 2.1.3
% 3.49/0.79 % (548475)Termination reason: Refutation not found, incomplete strategy
% 3.49/0.79 % (548475)Time elapsed: 0.0000 s
% 3.49/0.79 % (548475)Peak memory usage: 11 MB
% 3.49/0.79 % (548475)------------------------------
% 3.49/0.79 % (548475)------------------------------
% 3.49/0.79 % (548435)Instruction limit reached!
% 3.49/0.79 % (548435)------------------------------
% 3.49/0.79 % (548435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.79 % (548435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.79 % (548435)CaDiCaL version: 2.1.3
% 3.49/0.79 % (548435)Termination reason: Instruction limit
% 3.49/0.79 % (548435)Termination phase: Saturation
% 3.49/0.79 % (548435)Time elapsed: 0.142 s
% 3.49/0.79 % (548435)Peak memory usage: 12 MB
% 3.49/0.79 % (548435)Instructions burned: 459 (million)
% 3.49/0.79 % (548478)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 3.49/0.79 % (548478)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4270706304:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/373Mi)
% 3.49/0.79 % (548479)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2085152852:i=116:ep=RSTC:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/116Mi)
% 3.49/0.79 % (548469)Instruction limit reached!
% 3.49/0.79 % (548469)------------------------------
% 3.49/0.79 % (548469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.79 % (548469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.79 % (548469)CaDiCaL version: 2.1.3
% 3.49/0.79 % (548469)Termination reason: Instruction limit
% 3.49/0.79 % (548469)Termination phase: Saturation
% 3.49/0.79 % (548469)Time elapsed: 0.053 s
% 3.49/0.79 % (548469)Peak memory usage: 12 MB
% 3.49/0.79 % (548469)Instructions burned: 138 (million)
% 3.49/0.79 % (548485)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3154116222:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 4.04/0.81 % (548485)Refutation not found, incomplete strategy
% 4.04/0.81 % (548485)------------------------------
% 4.04/0.81 % (548485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.81 % (548485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.81 % (548485)CaDiCaL version: 2.1.3
% 4.04/0.81 % (548485)Termination reason: Refutation not found, incomplete strategy
% 4.04/0.81 % (548485)Time elapsed: 0.001 s
% 4.04/0.81 % (548485)Peak memory usage: 11 MB
% 4.04/0.81 % (548485)Instructions burned: 1 (million)
% 4.04/0.81 % (548485)------------------------------
% 4.04/0.81 % (548485)------------------------------
% 4.04/0.81 % (548343)Instruction limit reached!
% 4.04/0.81 % (548343)------------------------------
% 4.04/0.81 % (548343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.81 % (548343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.81 % (548343)CaDiCaL version: 2.1.3
% 4.04/0.81 % (548343)Termination reason: Instruction limit
% 4.04/0.81 % (548343)Termination phase: Saturation
% 4.04/0.81 % (548343)Time elapsed: 0.421 s
% 4.04/0.81 % (548343)Peak memory usage: 13 MB
% 4.04/0.81 % (548343)Instructions burned: 1251 (million)
% 4.04/0.81 % (548479)Instruction limit reached!
% 4.04/0.81 % (548479)------------------------------
% 4.04/0.81 % (548479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.81 % (548479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.81 % (548479)CaDiCaL version: 2.1.3
% 4.04/0.81 % (548479)Termination reason: Instruction limit
% 4.04/0.81 % (548479)Termination phase: Saturation
% 4.04/0.81 % (548479)Time elapsed: 0.042 s
% 4.04/0.81 % (548479)Peak memory usage: 12 MB
% 4.04/0.81 % (548479)Instructions burned: 118 (million)
% 4.04/0.81 % (548489)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2932328873:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2994 on theBenchmark for (2994ds/270Mi)
% 4.04/0.81 % (548491)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1383864603:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/9840Mi)
% 4.04/0.81 % (548492)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2401029428:i=421:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/421Mi)
% 4.04/0.81 % (548473)Instruction limit reached!
% 4.04/0.81 % (548473)------------------------------
% 4.04/0.81 % (548473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.81 % (548473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.81 % (548492)Refutation not found, incomplete strategy
% 4.04/0.81 % (548492)------------------------------
% 4.04/0.81 % (548492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.81 % (548473)CaDiCaL version: 2.1.3
% 4.04/0.81 % (548492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.81 % (548473)Termination reason: Instruction limit
% 4.04/0.81 % (548473)Termination phase: Saturation
% 4.04/0.81 % (548473)Time elapsed: 0.099 s
% 4.04/0.81 % (548473)Peak memory usage: 13 MB
% 4.04/0.81 % (548492)CaDiCaL version: 2.1.3
% 4.04/0.81 % (548473)Instructions burned: 341 (million)
% 4.04/0.81 % (548492)Termination reason: Refutation not found, incomplete strategy
% 4.04/0.81 % (548492)Time elapsed: 0.0000 s
% 4.04/0.81 % (548492)Peak memory usage: 11 MB
% 4.04/0.81 % (548492)------------------------------
% 4.04/0.81 % (548492)------------------------------
% 4.04/0.81 % (548496)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 4.04/0.81 % (548496)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=3285600621:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/270Mi)
% 4.04/0.81 % (548497)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1961724956:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 4.04/0.81 % (548466)Instruction limit reached!
% 4.04/0.86 % (548466)------------------------------
% 4.04/0.86 % (548466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.86 % (548466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.86 % (548466)CaDiCaL version: 2.1.3
% 4.04/0.86 % (548466)Termination reason: Instruction limit
% 4.04/0.86 % (548466)Termination phase: Saturation
% 4.04/0.86 % (548466)Time elapsed: 0.139 s
% 4.04/0.86 % (548466)Peak memory usage: 14 MB
% 4.04/0.86 % (548466)Instructions burned: 339 (million)
% 4.04/0.86 % (548497)Instruction limit reached!
% 4.04/0.86 % (548497)------------------------------
% 4.04/0.86 % (548497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.86 % (548497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.86 % (548497)CaDiCaL version: 2.1.3
% 4.04/0.86 % (548497)Termination reason: Instruction limit
% 4.04/0.86 % (548497)Termination phase: Saturation
% 4.04/0.86 % (548497)Time elapsed: 0.015 s
% 4.04/0.86 % (548497)Peak memory usage: 12 MB
% 4.04/0.86 % (548497)Instructions burned: 32 (million)
% 4.04/0.86 % (548452)Instruction limit reached!
% 4.04/0.86 % (548452)------------------------------
% 4.04/0.86 % (548452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.86 % (548452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.86 % (548452)CaDiCaL version: 2.1.3
% 4.04/0.86 % (548452)Termination reason: Instruction limit
% 4.04/0.86 % (548452)Termination phase: Saturation
% 4.04/0.86 % (548452)Time elapsed: 0.205 s
% 4.04/0.86 % (548452)Peak memory usage: 13 MB
% 4.04/0.86 % (548452)Instructions burned: 496 (million)
% 4.04/0.86 % (548500)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 4.04/0.86 % (548500)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 4.04/0.86 % (548500)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3144049773:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2994 on theBenchmark for (2994ds/1440Mi)
% 4.04/0.86 % (548502)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1322513731:i=111:add=on:fgj=on:rtra=on:fdi=1024_2993 on theBenchmark for (2993ds/111Mi)
% 4.04/0.86 % (548501)dis+10_2_sil=128000:si=on:random_seed=2519671206:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2993 on theBenchmark for (2993ds/339Mi)
% 4.04/0.86 % (548501)Refutation not found, incomplete strategy
% 4.04/0.86 % (548501)------------------------------
% 4.04/0.86 % (548501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.86 % (548501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.86 % (548501)CaDiCaL version: 2.1.3
% 4.04/0.86 % (548501)Termination reason: Refutation not found, incomplete strategy
% 4.04/0.86 % (548501)Time elapsed: 0.0000 s
% 4.04/0.86 % (548501)Peak memory usage: 11 MB
% 4.04/0.86 % (548501)------------------------------
% 4.04/0.86 % (548501)------------------------------
% 4.04/0.86 % (548509)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3733473792:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/122Mi)
% 4.04/0.86 % (548509)Refutation not found, incomplete strategy
% 4.04/0.86 % (548509)------------------------------
% 4.04/0.86 % (548509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.86 % (548509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.86 % (548509)CaDiCaL version: 2.1.3
% 4.04/0.86 % (548509)Termination reason: Refutation not found, incomplete strategy
% 4.04/0.86 % (548509)Time elapsed: 0.0000 s
% 4.04/0.86 % (548509)Peak memory usage: 11 MB
% 4.04/0.86 % (548509)------------------------------
% 4.04/0.86 % (548509)------------------------------
% 4.04/0.86 % (548502)Instruction limit reached!
% 4.04/0.86 % (548502)------------------------------
% 4.04/0.86 % (548502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/0.86 % (548502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/0.86 % (548502)CaDiCaL version: 2.1.3
% 4.04/0.86 % (548502)Termination reason: Instruction limit
% 4.65/0.95 % (548502)Termination phase: Saturation
% 4.65/0.95 % (548502)Time elapsed: 0.030 s
% 4.65/0.95 % (548502)Peak memory usage: 12 MB
% 4.65/0.95 % (548502)Instructions burned: 112 (million)
% 4.65/0.95 % (548496)Instruction limit reached!
% 4.65/0.95 % (548496)------------------------------
% 4.65/0.95 % (548496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.65/0.95 % (548496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/0.95 % (548496)CaDiCaL version: 2.1.3
% 4.65/0.95 % (548496)Termination reason: Instruction limit
% 4.65/0.95 % (548496)Termination phase: Saturation
% 4.65/0.95 % (548496)Time elapsed: 0.079 s
% 4.65/0.95 % (548496)Peak memory usage: 12 MB
% 4.65/0.95 % (548496)Instructions burned: 272 (million)
% 4.65/0.95 % (548514)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=851549977:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/232Mi)
% 4.65/0.95 % (548514)Refutation not found, incomplete strategy
% 4.65/0.95 % (548514)------------------------------
% 4.65/0.95 % (548514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.65/0.95 % (548514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/0.95 % (548514)CaDiCaL version: 2.1.3
% 4.65/0.95 % (548514)Termination reason: Refutation not found, incomplete strategy
% 4.65/0.95 % (548514)Time elapsed: 0.0000 s
% 4.65/0.95 % (548514)Peak memory usage: 11 MB
% 4.65/0.95 % (548514)------------------------------
% 4.65/0.95 % (548514)------------------------------
% 4.65/0.95 % (548513)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=2819015497:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/136Mi)
% 4.65/0.95 % (548478)Instruction limit reached!
% 4.65/0.95 % (548478)------------------------------
% 4.65/0.95 % (548478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.65/0.95 % (548478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/0.95 % (548478)CaDiCaL version: 2.1.3
% 4.65/0.95 % (548478)Termination reason: Instruction limit
% 4.65/0.95 % (548478)Termination phase: Saturation
% 4.65/0.95 % (548478)Time elapsed: 0.164 s
% 4.65/0.95 % (548478)Peak memory usage: 13 MB
% 4.65/0.95 % (548478)Instructions burned: 374 (million)
% 4.65/0.95 % (548513)Refutation not found, incomplete strategy
% 4.65/0.95 % (548513)------------------------------
% 4.65/0.95 % (548513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.65/0.95 % (548513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/0.95 % (548513)CaDiCaL version: 2.1.3
% 4.65/0.95 % (548513)Termination reason: Refutation not found, incomplete strategy
% 4.65/0.95 % (548513)Time elapsed: 0.001 s
% 4.65/0.95 % (548513)Peak memory usage: 11 MB
% 4.65/0.95 % (548513)Instructions burned: 1 (million)
% 4.65/0.95 % (548513)------------------------------
% 4.65/0.95 % (548513)------------------------------
% 4.65/0.95 % (548518)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 4.65/0.95 % (548489)Instruction limit reached!
% 4.65/0.95 % (548489)------------------------------
% 4.65/0.95 % (548489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.65/0.95 % (548489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/0.95 % (548489)CaDiCaL version: 2.1.3
% 4.65/0.95 % (548489)Termination reason: Instruction limit
% 4.65/0.95 % (548489)Termination phase: Saturation
% 4.65/0.95 % (548489)Time elapsed: 0.116 s
% 4.65/0.95 % (548489)Peak memory usage: 12 MB
% 4.65/0.95 % (548489)Instructions burned: 279 (million)
% 4.65/0.95 % (548518)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=1590966926:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2993 on theBenchmark for (2993ds/281Mi)
% 4.65/0.95 % (548516)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=3633795423:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/1254Mi)
% 4.65/0.95 % (548516)Refutation not found, incomplete strategy
% 4.65/0.95 % (548516)------------------------------
% 4.65/0.95 % (548516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.65/0.95 % (548516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.04 % (548516)CaDiCaL version: 2.1.3
% 4.65/1.04 % (548516)Termination reason: Refutation not found, incomplete strategy
% 4.65/1.04 % (548516)Time elapsed: 0.001 s
% 4.65/1.04 % (548516)Peak memory usage: 12 MB
% 4.65/1.04 % (548516)Instructions burned: 2 (million)
% 4.65/1.04 % (548516)------------------------------
% 4.65/1.04 % (548516)------------------------------
% 4.65/1.04 % (548520)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4053007070:i=619:add=on:rtra=on_2993 on theBenchmark for (2993ds/619Mi)
% 4.65/1.04 % (548520)Refutation not found, incomplete strategy
% 4.65/1.04 % (548520)------------------------------
% 4.65/1.04 % (548520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.65/1.04 % (548520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.04 % (548520)CaDiCaL version: 2.1.3
% 4.65/1.04 % (548520)Termination reason: Refutation not found, incomplete strategy
% 4.65/1.04 % (548520)Time elapsed: 0.001 s
% 4.65/1.04 % (548520)Peak memory usage: 12 MB
% 4.65/1.04 % (548520)Instructions burned: 2 (million)
% 4.65/1.04 % (548520)------------------------------
% 4.65/1.04 % (548520)------------------------------
% 4.65/1.04 % (548521)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1304372607:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/865Mi)
% 4.65/1.04 % (548524)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1980829398:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/212Mi)
% 4.65/1.04 % (548524)Refutation not found, incomplete strategy
% 4.65/1.04 % (548524)------------------------------
% 4.65/1.04 % (548524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.65/1.04 % (548524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.04 % (548524)CaDiCaL version: 2.1.3
% 4.65/1.04 % (548524)Termination reason: Refutation not found, incomplete strategy
% 4.65/1.04 % (548524)Time elapsed: 0.0000 s
% 4.65/1.04 % (548524)Peak memory usage: 11 MB
% 4.65/1.04 % (548524)------------------------------
% 4.65/1.04 % (548524)------------------------------
% 4.65/1.04 % (548525)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1300045747:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 4.65/1.04 % (548525)Refutation not found, incomplete strategy
% 4.65/1.04 % (548525)------------------------------
% 4.65/1.04 % (548525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.65/1.04 % (548525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.04 % (548525)CaDiCaL version: 2.1.3
% 4.65/1.04 % (548525)Termination reason: Refutation not found, incomplete strategy
% 4.65/1.04 % (548525)Time elapsed: 0.0000 s
% 4.65/1.04 % (548525)Peak memory usage: 11 MB
% 4.65/1.04 % (548525)------------------------------
% 4.65/1.04 % (548525)------------------------------
% 4.65/1.04 % (548528)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3075090137:st=1.5:i=346:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/346Mi)
% 4.65/1.04 % (548528)Refutation not found, incomplete strategy
% 4.65/1.04 % (548528)------------------------------
% 4.65/1.04 % (548528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.65/1.04 % (548528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.04 % (548528)CaDiCaL version: 2.1.3
% 4.65/1.04 % (548528)Termination reason: Refutation not found, incomplete strategy
% 4.65/1.04 % (548528)Time elapsed: 0.001 s
% 4.65/1.04 % (548528)Peak memory usage: 11 MB
% 4.65/1.04 % (548528)Instructions burned: 1 (million)
% 4.65/1.04 % (548528)------------------------------
% 4.65/1.04 % (548528)------------------------------
% 4.65/1.04 % (548531)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=908377489:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/152Mi)
% 4.65/1.04 % (548532)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=455430554:i=75:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/75Mi)
% 4.65/1.04 % (548534)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3434913352:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/387Mi)
% 4.65/1.04 % (548534)Refutation not found, incomplete strategy
% 4.65/1.04 % (548534)------------------------------
% 7.17/1.23 % (548534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.23 % (548534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.23 % (548534)CaDiCaL version: 2.1.3
% 7.17/1.23 % (548534)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.23 % (548534)Time elapsed: 0.001 s
% 7.17/1.23 % (548534)Peak memory usage: 11 MB
% 7.17/1.23 % (548534)Instructions burned: 1 (million)
% 7.17/1.23 % (548534)------------------------------
% 7.17/1.23 % (548534)------------------------------
% 7.17/1.23 % (548538)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3845515719:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2992 on theBenchmark for (2992ds/148Mi)
% 7.17/1.23 % (548532)Instruction limit reached!
% 7.17/1.23 % (548532)------------------------------
% 7.17/1.23 % (548532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.23 % (548532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.23 % (548532)CaDiCaL version: 2.1.3
% 7.17/1.23 % (548532)Termination reason: Instruction limit
% 7.17/1.23 % (548532)Termination phase: Saturation
% 7.17/1.23 % (548532)Time elapsed: 0.031 s
% 7.17/1.23 % (548532)Peak memory usage: 12 MB
% 7.17/1.23 % (548532)Instructions burned: 77 (million)
% 7.17/1.23 % (548518)Instruction limit reached!
% 7.17/1.23 % (548518)------------------------------
% 7.17/1.23 % (548518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.23 % (548518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.23 % (548518)CaDiCaL version: 2.1.3
% 7.17/1.23 % (548518)Termination reason: Instruction limit
% 7.17/1.23 % (548518)Termination phase: Saturation
% 7.17/1.23 % (548518)Time elapsed: 0.085 s
% 7.17/1.23 % (548518)Peak memory usage: 13 MB
% 7.17/1.23 % (548518)Instructions burned: 283 (million)
% 7.17/1.23 % (548540)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1636734172:i=161:piset=and:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/161Mi)
% 7.17/1.23 % (548531)Instruction limit reached!
% 7.17/1.23 % (548531)------------------------------
% 7.17/1.23 % (548531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.23 % (548531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.23 % (548531)CaDiCaL version: 2.1.3
% 7.17/1.23 % (548531)Termination reason: Instruction limit
% 7.17/1.23 % (548531)Termination phase: Saturation
% 7.17/1.23 % (548531)Time elapsed: 0.068 s
% 7.17/1.23 % (548531)Peak memory usage: 12 MB
% 7.17/1.23 % (548531)Instructions burned: 153 (million)
% 7.17/1.23 % (548541)lrs+10_1_sil=128000:si=on:random_seed=3174147885:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/888Mi)
% 7.17/1.23 % (548541)Refutation not found, incomplete strategy
% 7.17/1.23 % (548541)------------------------------
% 7.17/1.23 % (548541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.23 % (548541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.23 % (548541)CaDiCaL version: 2.1.3
% 7.17/1.23 % (548541)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.23 % (548541)Time elapsed: 0.0000 s
% 7.17/1.23 % (548541)Peak memory usage: 11 MB
% 7.17/1.23 % (548541)------------------------------
% 7.17/1.23 % (548541)------------------------------
% 7.17/1.23 % (548545)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3699960762:i=88:s2at=3:nm=2:rtra=on:rawr=on_2992 on theBenchmark for (2992ds/88Mi)
% 7.17/1.23 % (548543)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=2650782255:i=136:add=on:ins=4:rtra=on:sup=off_2992 on theBenchmark for (2992ds/136Mi)
% 7.17/1.23 % (548538)Instruction limit reached!
% 7.17/1.23 % (548538)------------------------------
% 7.17/1.23 % (548538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.23 % (548538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.23 % (548538)CaDiCaL version: 2.1.3
% 7.17/1.23 % (548538)Termination reason: Instruction limit
% 7.17/1.23 % (548538)Termination phase: Saturation
% 7.17/1.23 % (548538)Time elapsed: 0.064 s
% 7.17/1.23 % (548538)Peak memory usage: 12 MB
% 7.17/1.23 % (548538)Instructions burned: 148 (million)
% 7.17/1.23 % (548540)Instruction limit reached!
% 7.60/1.37 % (548540)------------------------------
% 7.60/1.37 % (548540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.60/1.37 % (548540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/1.37 % (548540)CaDiCaL version: 2.1.3
% 7.60/1.37 % (548540)Termination reason: Instruction limit
% 7.60/1.37 % (548540)Termination phase: Saturation
% 7.60/1.37 % (548540)Time elapsed: 0.053 s
% 7.60/1.37 % (548540)Peak memory usage: 12 MB
% 7.60/1.37 % (548540)Instructions burned: 163 (million)
% 7.60/1.37 % (548545)Instruction limit reached!
% 7.60/1.37 % (548545)------------------------------
% 7.60/1.37 % (548545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.60/1.37 % (548545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/1.37 % (548545)CaDiCaL version: 2.1.3
% 7.60/1.37 % (548545)Termination reason: Instruction limit
% 7.60/1.37 % (548545)Termination phase: Saturation
% 7.60/1.37 % (548545)Time elapsed: 0.026 s
% 7.60/1.37 % (548545)Peak memory usage: 13 MB
% 7.60/1.37 % (548545)Instructions burned: 91 (million)
% 7.60/1.37 % (548549)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3231954491:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2991 on theBenchmark for (2991ds/93Mi)
% 7.60/1.37 % (548551)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2484601657:s2a=on:i=240:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/240Mi)
% 7.60/1.37 % (548550)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3830960861:i=2186:rtra=on:ixr=off_2991 on theBenchmark for (2991ds/2186Mi)
% 7.60/1.37 % (548543)Instruction limit reached!
% 7.60/1.37 % (548543)------------------------------
% 7.60/1.37 % (548543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.60/1.37 % (548543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/1.37 % (548543)CaDiCaL version: 2.1.3
% 7.60/1.37 % (548543)Termination reason: Instruction limit
% 7.60/1.37 % (548543)Termination phase: Saturation
% 7.60/1.37 % (548543)Time elapsed: 0.052 s
% 7.60/1.37 % (548543)Peak memory usage: 12 MB
% 7.60/1.37 % (548543)Instructions burned: 138 (million)
% 7.60/1.37 % (548556)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2298015711:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/805Mi)
% 7.60/1.37 % (548549)Instruction limit reached!
% 7.60/1.37 % (548549)------------------------------
% 7.60/1.37 % (548549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.60/1.37 % (548549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/1.37 % (548549)CaDiCaL version: 2.1.3
% 7.60/1.37 % (548549)Termination reason: Instruction limit
% 7.60/1.37 % (548549)Termination phase: Saturation
% 7.60/1.37 % (548549)Time elapsed: 0.044 s
% 7.60/1.37 % (548549)Peak memory usage: 12 MB
% 7.60/1.37 % (548549)Instructions burned: 94 (million)
% 7.60/1.37 % (548558)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 7.60/1.37 % (548558)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=3142452532:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2991 on theBenchmark for (2991ds/391Mi)
% 7.60/1.37 % (548558)Refutation not found, incomplete strategy
% 7.60/1.37 % (548558)------------------------------
% 7.60/1.37 % (548558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.60/1.37 % (548558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/1.37 % (548558)CaDiCaL version: 2.1.3
% 7.60/1.37 % (548558)Termination reason: Refutation not found, incomplete strategy
% 7.60/1.37 % (548558)Time elapsed: 0.001 s
% 7.60/1.37 % (548558)Peak memory usage: 11 MB
% 7.60/1.37 % (548558)Instructions burned: 1 (million)
% 7.60/1.37 % (548558)------------------------------
% 7.60/1.37 % (548558)------------------------------
% 7.60/1.37 % (548551)Instruction limit reached!
% 7.60/1.37 % (548551)------------------------------
% 7.60/1.37 % (548551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.60/1.37 % (548551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/1.37 % (548551)CaDiCaL version: 2.1.3
% 7.60/1.37 % (548551)Termination reason: Instruction limit
% 8.01/1.44 % (548551)Termination phase: Saturation
% 8.01/1.44 % (548551)Time elapsed: 0.069 s
% 8.01/1.44 % (548551)Peak memory usage: 12 MB
% 8.01/1.44 % (548551)Instructions burned: 243 (million)
% 8.01/1.44 % (548560)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3599399336:i=355:av=off:fsr=off:rtra=on:ixr=off_2991 on theBenchmark for (2991ds/355Mi)
% 8.01/1.44 % (548561)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=640704885:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/314Mi)
% 8.01/1.44 % (548561)Refutation not found, incomplete strategy
% 8.01/1.44 % (548561)------------------------------
% 8.01/1.44 % (548561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.01/1.44 % (548561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.01/1.44 % (548561)CaDiCaL version: 2.1.3
% 8.01/1.44 % (548561)Termination reason: Refutation not found, incomplete strategy
% 8.01/1.44 % (548561)Time elapsed: 0.0000 s
% 8.01/1.44 % (548561)Peak memory usage: 12 MB
% 8.01/1.44 % (548561)------------------------------
% 8.01/1.44 % (548561)------------------------------
% 8.01/1.44 % (548564)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3954350524:s2a=on:i=251:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/251Mi)
% 8.01/1.44 % (548564)Instruction limit reached!
% 8.01/1.44 % (548564)------------------------------
% 8.01/1.44 % (548564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.01/1.44 % (548564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.01/1.44 % (548564)CaDiCaL version: 2.1.3
% 8.01/1.44 % (548564)Termination reason: Instruction limit
% 8.01/1.44 % (548564)Termination phase: Saturation
% 8.01/1.44 % (548564)Time elapsed: 0.091 s
% 8.01/1.44 % (548564)Peak memory usage: 12 MB
% 8.01/1.44 % (548564)Instructions burned: 252 (million)
% 8.01/1.44 % (548521)Instruction limit reached!
% 8.01/1.44 % (548521)------------------------------
% 8.01/1.44 % (548521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.01/1.44 % (548521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.01/1.44 % (548521)CaDiCaL version: 2.1.3
% 8.01/1.44 % (548521)Termination reason: Instruction limit
% 8.01/1.44 % (548521)Termination phase: Saturation
% 8.01/1.44 % (548521)Time elapsed: 0.346 s
% 8.01/1.44 % (548521)Peak memory usage: 14 MB
% 8.01/1.44 % (548521)Instructions burned: 867 (million)
% 8.01/1.44 % (548567)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2171813878:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2989 on theBenchmark for (2989ds/2470Mi)
% 8.01/1.44 % (548560)Instruction limit reached!
% 8.01/1.44 % (548560)------------------------------
% 8.01/1.44 % (548560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.01/1.44 % (548560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.01/1.44 % (548560)CaDiCaL version: 2.1.3
% 8.01/1.44 % (548560)Termination reason: Instruction limit
% 8.01/1.44 % (548560)Termination phase: Saturation
% 8.01/1.44 % (548560)Time elapsed: 0.140 s
% 8.01/1.44 % (548560)Peak memory usage: 12 MB
% 8.01/1.44 % (548560)Instructions burned: 356 (million)
% 8.01/1.44 % (548569)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2399282207:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2989 on theBenchmark for (2989ds/673Mi)
% 8.01/1.44 % (548571)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3085643552:i=116:ep=RSTC:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/116Mi)
% 8.01/1.44 % (548571)Instruction limit reached!
% 8.01/1.44 % (548571)------------------------------
% 8.01/1.44 % (548571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.01/1.44 % (548571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.01/1.44 % (548571)CaDiCaL version: 2.1.3
% 8.01/1.44 % (548571)Termination reason: Instruction limit
% 8.01/1.44 % (548571)Termination phase: Saturation
% 8.01/1.44 % (548571)Time elapsed: 0.026 s
% 8.01/1.44 % (548571)Peak memory usage: 12 MB
% 8.01/1.44 % (548571)Instructions burned: 120 (million)
% 8.01/1.44 % (548574)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1657360689:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2989 on theBenchmark for (2989ds/270Mi)
% 9.16/1.60 % (548500)Instruction limit reached!
% 9.16/1.60 % (548500)------------------------------
% 9.16/1.60 % (548500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.60 % (548500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.60 % (548500)CaDiCaL version: 2.1.3
% 9.16/1.60 % (548500)Termination reason: Instruction limit
% 9.16/1.60 % (548500)Termination phase: Saturation
% 9.16/1.60 % (548500)Time elapsed: 0.481 s
% 9.16/1.60 % (548500)Peak memory usage: 13 MB
% 9.16/1.60 % (548500)Instructions burned: 1441 (million)
% 9.16/1.60 % (548576)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2856984988:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/30Mi)
% 9.16/1.60 % (548576)Instruction limit reached!
% 9.16/1.60 % (548576)------------------------------
% 9.16/1.60 % (548576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.60 % (548576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.60 % (548576)CaDiCaL version: 2.1.3
% 9.16/1.60 % (548576)Termination reason: Instruction limit
% 9.16/1.60 % (548576)Termination phase: Saturation
% 9.16/1.60 % (548576)Time elapsed: 0.014 s
% 9.16/1.60 % (548576)Peak memory usage: 12 MB
% 9.16/1.60 % (548576)Instructions burned: 30 (million)
% 9.16/1.60 % (548578)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 9.16/1.60 % (548578)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1386139151:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2988 on theBenchmark for (2988ds/39Mi)
% 9.16/1.60 % (548556)Instruction limit reached!
% 9.16/1.60 % (548556)------------------------------
% 9.16/1.60 % (548556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.60 % (548556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.60 % (548556)CaDiCaL version: 2.1.3
% 9.16/1.60 % (548556)Termination reason: Instruction limit
% 9.16/1.60 % (548556)Termination phase: Saturation
% 9.16/1.60 % (548556)Time elapsed: 0.289 s
% 9.16/1.60 % (548556)Peak memory usage: 13 MB
% 9.16/1.60 % (548556)Instructions burned: 806 (million)
% 9.16/1.60 % (548574)Instruction limit reached!
% 9.16/1.60 % (548574)------------------------------
% 9.16/1.60 % (548574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.60 % (548574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.60 % (548574)CaDiCaL version: 2.1.3
% 9.16/1.60 % (548574)Termination reason: Instruction limit
% 9.16/1.60 % (548574)Termination phase: Saturation
% 9.16/1.60 % (548574)Time elapsed: 0.067 s
% 9.16/1.60 % (548574)Peak memory usage: 12 MB
% 9.16/1.60 % (548574)Instructions burned: 272 (million)
% 9.16/1.60 % (548578)Instruction limit reached!
% 9.16/1.60 % (548578)------------------------------
% 9.16/1.60 % (548578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.60 % (548578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.60 % (548578)CaDiCaL version: 2.1.3
% 9.16/1.60 % (548578)Termination reason: Instruction limit
% 9.16/1.60 % (548578)Termination phase: Saturation
% 9.16/1.60 % (548578)Time elapsed: 0.020 s
% 9.16/1.60 % (548578)Peak memory usage: 12 MB
% 9.16/1.60 % (548578)Instructions burned: 39 (million)
% 9.16/1.60 % (548580)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1541309686:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/365Mi)
% 9.16/1.60 % (548581)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3268626421:i=158:av=off:rtra=on_2988 on theBenchmark for (2988ds/158Mi)
% 9.16/1.60 % (548582)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 9.16/1.60 % (548582)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=632863495:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/252Mi)
% 9.16/1.60 % (548581)Instruction limit reached!
% 9.16/1.68 % (548581)------------------------------
% 9.16/1.68 % (548581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.68 % (548581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.68 % (548581)CaDiCaL version: 2.1.3
% 9.16/1.68 % (548581)Termination reason: Instruction limit
% 9.16/1.68 % (548581)Termination phase: Saturation
% 9.16/1.68 % (548581)Time elapsed: 0.057 s
% 9.16/1.68 % (548581)Peak memory usage: 11 MB
% 9.16/1.68 % (548581)Instructions burned: 161 (million)
% 9.16/1.68 % (548586)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3598453781:i=213:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/213Mi)
% 9.16/1.68 % (548586)Refutation not found, incomplete strategy
% 9.16/1.68 % (548586)------------------------------
% 9.16/1.68 % (548586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.68 % (548586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.68 % (548586)CaDiCaL version: 2.1.3
% 9.16/1.68 % (548586)Termination reason: Refutation not found, incomplete strategy
% 9.16/1.68 % (548586)Time elapsed: 0.001 s
% 9.16/1.68 % (548586)Peak memory usage: 12 MB
% 9.16/1.68 % (548586)------------------------------
% 9.16/1.68 % (548586)------------------------------
% 9.16/1.68 % (548582)Instruction limit reached!
% 9.16/1.68 % (548582)------------------------------
% 9.16/1.68 % (548582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.68 % (548582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.68 % (548582)CaDiCaL version: 2.1.3
% 9.16/1.68 % (548582)Termination reason: Instruction limit
% 9.16/1.68 % (548582)Termination phase: Saturation
% 9.16/1.68 % (548582)Time elapsed: 0.084 s
% 9.16/1.68 % (548582)Peak memory usage: 12 MB
% 9.16/1.68 % (548582)Instructions burned: 253 (million)
% 9.16/1.68 % (548588)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=3672876245:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/160Mi)
% 9.16/1.68 % (548588)Refutation not found, incomplete strategy
% 9.16/1.68 % (548588)------------------------------
% 9.16/1.68 % (548588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.68 % (548588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.68 % (548588)CaDiCaL version: 2.1.3
% 9.16/1.68 % (548588)Termination reason: Refutation not found, incomplete strategy
% 9.16/1.68 % (548588)Time elapsed: 0.001 s
% 9.16/1.68 % (548588)Peak memory usage: 12 MB
% 9.16/1.68 % (548588)------------------------------
% 9.16/1.68 % (548588)------------------------------
% 9.16/1.68 % (548589)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2945638492:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/763Mi)
% 9.16/1.68 % (548569)Instruction limit reached!
% 9.16/1.68 % (548569)------------------------------
% 9.16/1.68 % (548569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.68 % (548569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.68 % (548569)CaDiCaL version: 2.1.3
% 9.16/1.68 % (548569)Termination reason: Instruction limit
% 9.16/1.68 % (548569)Termination phase: Saturation
% 9.16/1.68 % (548569)Time elapsed: 0.237 s
% 9.16/1.68 % (548569)Peak memory usage: 12 MB
% 9.16/1.68 % (548569)Instructions burned: 675 (million)
% 9.16/1.68 % (548591)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 9.16/1.68 % (548591)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3122219623:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2987 on theBenchmark for (2987ds/237Mi)
% 9.16/1.68 % (548591)Refutation not found, incomplete strategy
% 9.16/1.68 % (548591)------------------------------
% 9.16/1.68 % (548591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.16/1.68 % (548591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/1.68 % (548591)CaDiCaL version: 2.1.3
% 9.16/1.68 % (548591)Termination reason: Refutation not found, incomplete strategy
% 9.16/1.68 % (548591)Time elapsed: 0.0000 s
% 9.16/1.68 % (548591)Peak memory usage: 11 MB
% 9.16/1.68 % (548591)------------------------------
% 10.10/1.74 % (548591)------------------------------
% 10.10/1.74 % (548580)Instruction limit reached!
% 10.10/1.74 % (548580)------------------------------
% 10.10/1.74 % (548580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.10/1.74 % (548580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/1.74 % (548580)CaDiCaL version: 2.1.3
% 10.10/1.74 % (548580)Termination reason: Instruction limit
% 10.10/1.74 % (548580)Termination phase: Saturation
% 10.10/1.74 % (548580)Time elapsed: 0.131 s
% 10.10/1.74 % (548580)Peak memory usage: 13 MB
% 10.10/1.74 % (548580)Instructions burned: 366 (million)
% 10.10/1.74 % (548593)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2151126735:s2a=on:i=386:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/386Mi)
% 10.10/1.74 % (548595)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=3609821245:i=300:piset=and:nm=32:rtra=on_2986 on theBenchmark for (2986ds/300Mi)
% 10.10/1.74 % (548596)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1721143598:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/567Mi)
% 10.10/1.74 % (548596)Refutation not found, incomplete strategy
% 10.10/1.74 % (548596)------------------------------
% 10.10/1.74 % (548596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.10/1.74 % (548596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/1.74 % (548596)CaDiCaL version: 2.1.3
% 10.10/1.74 % (548596)Termination reason: Refutation not found, incomplete strategy
% 10.10/1.74 % (548596)Time elapsed: 0.001 s
% 10.10/1.74 % (548596)Peak memory usage: 11 MB
% 10.10/1.74 % (548596)Instructions burned: 1 (million)
% 10.10/1.74 % (548596)------------------------------
% 10.10/1.74 % (548596)------------------------------
% 10.10/1.74 % (548600)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1331982255:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2986 on theBenchmark for (2986ds/379Mi)
% 10.10/1.74 % (548600)Refutation not found, incomplete strategy
% 10.10/1.74 % (548600)------------------------------
% 10.10/1.74 % (548600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.10/1.74 % (548600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/1.74 % (548600)CaDiCaL version: 2.1.3
% 10.10/1.74 % (548600)Termination reason: Refutation not found, incomplete strategy
% 10.10/1.74 % (548600)Time elapsed: 0.0000 s
% 10.10/1.74 % (548600)Peak memory usage: 11 MB
% 10.10/1.74 % (548600)------------------------------
% 10.10/1.74 % (548600)------------------------------
% 10.10/1.74 % (548602)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3984530528:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2986 on theBenchmark for (2986ds/429Mi)
% 10.10/1.74 % (548595)Instruction limit reached!
% 10.10/1.74 % (548595)------------------------------
% 10.10/1.74 % (548595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.10/1.74 % (548595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/1.74 % (548595)CaDiCaL version: 2.1.3
% 10.10/1.74 % (548595)Termination reason: Instruction limit
% 10.10/1.74 % (548595)Termination phase: Saturation
% 10.10/1.74 % (548595)Time elapsed: 0.126 s
% 10.10/1.74 % (548595)Peak memory usage: 12 MB
% 10.10/1.74 % (548595)Instructions burned: 300 (million)
% 10.10/1.74 % (548604)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3561543579:i=478:bd=all:rtra=on_2985 on theBenchmark for (2985ds/478Mi)
% 10.10/1.74 % (548593)Instruction limit reached!
% 10.10/1.74 % (548593)------------------------------
% 10.10/1.74 % (548593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.10/1.74 % (548593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/1.74 % (548593)CaDiCaL version: 2.1.3
% 10.10/1.74 % (548593)Termination reason: Instruction limit
% 10.10/1.74 % (548593)Termination phase: Saturation
% 10.10/1.74 % (548593)Time elapsed: 0.158 s
% 10.10/1.74 % (548593)Peak memory usage: 13 MB
% 10.10/1.74 % (548593)Instructions burned: 386 (million)
% 10.10/1.74 % (548604)Refutation not found, incomplete strategy
% 10.10/1.74 % (548604)------------------------------
% 10.10/1.74 % (548604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.10/1.74 % (548604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/1.74 % (548604)CaDiCaL version: 2.1.3
% 10.10/1.74 % (548604)Termination reason: Refutation not found, incomplete strategy
% 10.56/1.84 % (548604)Time elapsed: 0.001 s
% 10.56/1.84 % (548604)Peak memory usage: 12 MB
% 10.56/1.84 % (548604)Instructions burned: 1 (million)
% 10.56/1.84 % (548604)------------------------------
% 10.56/1.84 % (548604)------------------------------
% 10.56/1.84 % (548606)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=612771520:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2985 on theBenchmark for (2985ds/445Mi)
% 10.56/1.84 % (548607)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2151348308:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/71Mi)
% 10.56/1.84 % (548589)Instruction limit reached!
% 10.56/1.84 % (548589)------------------------------
% 10.56/1.84 % (548589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.56/1.84 % (548589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/1.84 % (548589)CaDiCaL version: 2.1.3
% 10.56/1.84 % (548589)Termination reason: Instruction limit
% 10.56/1.84 % (548589)Termination phase: Saturation
% 10.56/1.84 % (548589)Time elapsed: 0.231 s
% 10.56/1.84 % (548589)Peak memory usage: 14 MB
% 10.56/1.84 % (548589)Instructions burned: 766 (million)
% 10.56/1.84 % (548607)Instruction limit reached!
% 10.56/1.84 % (548607)------------------------------
% 10.56/1.84 % (548607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.56/1.84 % (548607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/1.84 % (548607)CaDiCaL version: 2.1.3
% 10.56/1.84 % (548607)Termination reason: Instruction limit
% 10.56/1.84 % (548607)Termination phase: Saturation
% 10.56/1.84 % (548607)Time elapsed: 0.038 s
% 10.56/1.84 % (548607)Peak memory usage: 12 MB
% 10.56/1.84 % (548607)Instructions burned: 79 (million)
% 10.56/1.84 % (548610)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2802092218:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/302Mi)
% 10.56/1.84 % (548610)Refutation not found, incomplete strategy
% 10.56/1.84 % (548610)------------------------------
% 10.56/1.84 % (548610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.56/1.84 % (548610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/1.84 % (548610)CaDiCaL version: 2.1.3
% 10.56/1.84 % (548610)Termination reason: Refutation not found, incomplete strategy
% 10.56/1.84 % (548610)Time elapsed: 0.0000 s
% 10.56/1.84 % (548610)Peak memory usage: 11 MB
% 10.56/1.84 % (548610)------------------------------
% 10.56/1.84 % (548610)------------------------------
% 10.56/1.84 % (548611)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3876927644:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2984 on theBenchmark for (2984ds/4980Mi)
% 10.56/1.84 % (548613)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 10.56/1.84 % (548613)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 10.56/1.84 % (548602)Instruction limit reached!
% 10.56/1.84 % (548602)------------------------------
% 10.56/1.84 % (548602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.56/1.84 % (548602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/1.84 % (548602)CaDiCaL version: 2.1.3
% 10.56/1.84 % (548602)Termination reason: Instruction limit
% 10.56/1.84 % (548602)Termination phase: Saturation
% 10.56/1.84 % (548602)Time elapsed: 0.182 s
% 10.56/1.84 % (548602)Peak memory usage: 12 MB
% 10.56/1.84 % (548602)Instructions burned: 431 (million)
% 10.56/1.84 % (548611)Refutation not found, incomplete strategy
% 10.56/1.84 % (548611)------------------------------
% 10.56/1.84 % (548611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.56/1.84 % (548611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/1.84 % (548611)CaDiCaL version: 2.1.3
% 10.56/1.84 % (548611)Termination reason: Refutation not found, incomplete strategy
% 10.56/1.84 % (548611)Time elapsed: 0.0000 s
% 10.56/1.84 % (548611)Peak memory usage: 12 MB
% 10.56/1.84 % (548611)------------------------------
% 10.56/1.84 % (548611)------------------------------
% 10.56/1.84 % (548613)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3360060193:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2984 on theBenchmark for (2984ds/100Mi)
% 10.73/2.01 % (548550)Instruction limit reached!
% 10.73/2.01 % (548550)------------------------------
% 10.73/2.01 % (548550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.73/2.01 % (548550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.01 % (548550)CaDiCaL version: 2.1.3
% 10.73/2.01 % (548550)Termination reason: Instruction limit
% 10.73/2.01 % (548550)Termination phase: Saturation
% 10.73/2.01 % (548550)Time elapsed: 0.728 s
% 10.73/2.01 % (548550)Peak memory usage: 13 MB
% 10.73/2.01 % (548550)Instructions burned: 2188 (million)
% 10.73/2.01 % (548615)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3208882561:i=76:piset=equals:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/76Mi)
% 10.73/2.01 % (548616)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2388466911:i=289:rtra=on_2984 on theBenchmark for (2984ds/289Mi)
% 10.73/2.01 % (548616)Refutation not found, incomplete strategy
% 10.73/2.01 % (548616)------------------------------
% 10.73/2.01 % (548616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.73/2.01 % (548616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.01 % (548616)CaDiCaL version: 2.1.3
% 10.73/2.01 % (548616)Termination reason: Refutation not found, incomplete strategy
% 10.73/2.01 % (548616)Time elapsed: 0.001 s
% 10.73/2.01 % (548616)Peak memory usage: 12 MB
% 10.73/2.01 % (548616)Instructions burned: 1 (million)
% 10.73/2.01 % (548616)------------------------------
% 10.73/2.01 % (548616)------------------------------
% 10.73/2.01 % (548613)Instruction limit reached!
% 10.73/2.01 % (548613)------------------------------
% 10.73/2.01 % (548613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.73/2.01 % (548613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.01 % (548613)CaDiCaL version: 2.1.3
% 10.73/2.01 % (548613)Termination reason: Instruction limit
% 10.73/2.01 % (548613)Termination phase: Saturation
% 10.73/2.01 % (548613)Time elapsed: 0.025 s
% 10.73/2.01 % (548613)Peak memory usage: 12 MB
% 10.73/2.01 % (548613)Instructions burned: 102 (million)
% 10.73/2.01 % (548619)lrs+2_64_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_first:bsr=unit_only:cbe=off:uwa=interpreted_only:nwc=0.5:slsqc=5:sac=on:slsq=on:random_seed=2513403400:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2984 on theBenchmark for (2984ds/493Mi)
% 10.73/2.01 % (548622)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 10.73/2.01 % (548621)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3529620500:cond=on:i=34:hud=10:nm=10:rtra=on_2984 on theBenchmark for (2984ds/34Mi)
% 10.73/2.01 % (548622)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=2740669966:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2984 on theBenchmark for (2984ds/372Mi)
% 10.73/2.01 % (548622)Refutation not found, incomplete strategy
% 10.73/2.01 % (548622)------------------------------
% 10.73/2.01 % (548622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.73/2.01 % (548622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.01 % (548622)CaDiCaL version: 2.1.3
% 10.73/2.01 % (548622)Termination reason: Refutation not found, incomplete strategy
% 10.73/2.01 % (548622)Time elapsed: 0.001 s
% 10.73/2.01 % (548622)Peak memory usage: 11 MB
% 10.73/2.01 % (548622)Instructions burned: 2 (million)
% 10.73/2.01 % (548622)------------------------------
% 10.73/2.01 % (548622)------------------------------
% 10.73/2.01 % (548615)Instruction limit reached!
% 10.73/2.01 % (548615)------------------------------
% 10.73/2.01 % (548615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.73/2.01 % (548615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.01 % (548615)CaDiCaL version: 2.1.3
% 10.73/2.01 % (548615)Termination reason: Instruction limit
% 10.73/2.01 % (548615)Termination phase: Saturation
% 10.73/2.01 % (548615)Time elapsed: 0.034 s
% 10.73/2.01 % (548615)Peak memory usage: 12 MB
% 10.73/2.01 % (548615)Instructions burned: 78 (million)
% 10.73/2.01 % (548621)Instruction limit reached!
% 10.73/2.01 % (548621)------------------------------
% 10.73/2.01 % (548621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.06 % (548621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.06 % (548621)CaDiCaL version: 2.1.3
% 13.08/2.06 % (548621)Termination reason: Instruction limit
% 13.08/2.06 % (548621)Termination phase: Saturation
% 13.08/2.06 % (548621)Time elapsed: 0.017 s
% 13.08/2.06 % (548621)Peak memory usage: 12 MB
% 13.08/2.06 % (548621)Instructions burned: 35 (million)
% 13.08/2.06 % (548626)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=3209999636:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2984 on theBenchmark for (2984ds/670Mi)
% 13.08/2.06 % (548628)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=741636300:i=857:add=off:kws=frequency:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/857Mi)
% 13.08/2.06 % (548627)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3301959967:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/647Mi)
% 13.08/2.06 % (548627)Refutation not found, incomplete strategy
% 13.08/2.06 % (548627)------------------------------
% 13.08/2.06 % (548627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.06 % (548627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.06 % (548627)CaDiCaL version: 2.1.3
% 13.08/2.06 % (548627)Termination reason: Refutation not found, incomplete strategy
% 13.08/2.06 % (548627)Time elapsed: 0.0000 s
% 13.08/2.06 % (548627)Peak memory usage: 11 MB
% 13.08/2.06 % (548627)------------------------------
% 13.08/2.06 % (548627)------------------------------
% 13.08/2.06 % (548632)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=3399935798:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2983 on theBenchmark for (2983ds/693Mi)
% 13.08/2.06 % (548606)Instruction limit reached!
% 13.08/2.06 % (548606)------------------------------
% 13.08/2.06 % (548606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.06 % (548606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.06 % (548606)CaDiCaL version: 2.1.3
% 13.08/2.06 % (548606)Termination reason: Instruction limit
% 13.08/2.06 % (548606)Termination phase: Saturation
% 13.08/2.06 % (548606)Time elapsed: 0.175 s
% 13.08/2.06 % (548606)Peak memory usage: 14 MB
% 13.08/2.06 % (548606)Instructions burned: 447 (million)
% 13.08/2.06 % (548634)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=2145899979:i=285:hud=10:bd=all:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/285Mi)
% 13.08/2.06 % (548634)Refutation not found, incomplete strategy
% 13.08/2.06 % (548634)------------------------------
% 13.08/2.06 % (548634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.06 % (548634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.06 % (548634)CaDiCaL version: 2.1.3
% 13.08/2.06 % (548634)Termination reason: Refutation not found, incomplete strategy
% 13.08/2.06 % (548634)Time elapsed: 0.0000 s
% 13.08/2.06 % (548634)Peak memory usage: 11 MB
% 13.08/2.06 % (548634)Instructions burned: 1 (million)
% 13.08/2.06 % (548634)------------------------------
% 13.08/2.06 % (548634)------------------------------
% 13.08/2.06 % (548636)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 13.08/2.06 % (548636)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=1642090403:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/52Mi)
% 13.08/2.06 % (548636)Instruction limit reached!
% 13.08/2.06 % (548636)------------------------------
% 13.08/2.06 % (548636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.06 % (548636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.06 % (548636)CaDiCaL version: 2.1.3
% 13.08/2.06 % (548636)Termination reason: Instruction limit
% 13.08/2.06 % (548636)Termination phase: Saturation
% 13.08/2.06 % (548636)Time elapsed: 0.013 s
% 13.08/2.06 % (548636)Peak memory usage: 12 MB
% 13.08/2.06 % (548636)Instructions burned: 54 (million)
% 13.08/2.06 % (548638)dis+10_1_si=on:random_seed=120209276:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2983 on theBenchmark for (2983ds/407Mi)
% 13.67/2.25 % (548638)Refutation not found, incomplete strategy
% 13.67/2.25 % (548638)------------------------------
% 13.67/2.25 % (548638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.67/2.25 % (548638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.67/2.25 % (548638)CaDiCaL version: 2.1.3
% 13.67/2.25 % (548638)Termination reason: Refutation not found, incomplete strategy
% 13.67/2.25 % (548638)Time elapsed: 0.0000 s
% 13.67/2.25 % (548638)Peak memory usage: 12 MB
% 13.67/2.25 % (548638)------------------------------
% 13.67/2.25 % (548638)------------------------------
% 13.67/2.25 % (548640)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=653571174:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/2240Mi)
% 13.67/2.25 % (548619)Instruction limit reached!
% 13.67/2.25 % (548619)------------------------------
% 13.67/2.25 % (548619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.67/2.25 % (548619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.67/2.25 % (548619)CaDiCaL version: 2.1.3
% 13.67/2.25 % (548619)Termination reason: Instruction limit
% 13.67/2.25 % (548619)Termination phase: Saturation
% 13.67/2.25 % (548619)Time elapsed: 0.202 s
% 13.67/2.25 % (548619)Peak memory usage: 13 MB
% 13.67/2.25 % (548619)Instructions burned: 494 (million)
% 13.67/2.25 % (548643)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=1385661042:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/336Mi)
% 13.67/2.25 % (548643)Refutation not found, incomplete strategy
% 13.67/2.25 % (548643)------------------------------
% 13.67/2.25 % (548643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.67/2.25 % (548643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.67/2.25 % (548643)CaDiCaL version: 2.1.3
% 13.67/2.25 % (548643)Termination reason: Refutation not found, incomplete strategy
% 13.67/2.25 % (548643)Time elapsed: 0.0000 s
% 13.67/2.25 % (548643)Peak memory usage: 11 MB
% 13.67/2.25 % (548643)------------------------------
% 13.67/2.25 % (548643)------------------------------
% 13.67/2.25 % (548647)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=4120828787:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2981 on theBenchmark for (2981ds/1142Mi)
% 13.67/2.25 % (548628)Instruction limit reached!
% 13.67/2.25 % (548628)------------------------------
% 13.67/2.25 % (548628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.67/2.25 % (548628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.67/2.25 % (548628)CaDiCaL version: 2.1.3
% 13.67/2.25 % (548628)Termination reason: Instruction limit
% 13.67/2.25 % (548628)Termination phase: Saturation
% 13.67/2.25 % (548628)Time elapsed: 0.236 s
% 13.67/2.25 % (548628)Peak memory usage: 12 MB
% 13.67/2.25 % (548628)Instructions burned: 857 (million)
% 13.67/2.25 % (548626)Instruction limit reached!
% 13.67/2.25 % (548626)------------------------------
% 13.67/2.25 % (548626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.67/2.25 % (548626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.67/2.25 % (548626)CaDiCaL version: 2.1.3
% 13.67/2.25 % (548626)Termination reason: Instruction limit
% 13.67/2.25 % (548626)Termination phase: Saturation
% 13.67/2.25 % (548626)Time elapsed: 0.250 s
% 13.67/2.25 % (548626)Peak memory usage: 12 MB
% 13.67/2.25 % (548626)Instructions burned: 673 (million)
% 13.67/2.25 % (548650)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1386486405:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/376Mi)
% 13.67/2.25 % (548650)Refutation not found, incomplete strategy
% 13.67/2.25 % (548650)------------------------------
% 13.67/2.25 % (548650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.67/2.25 % (548650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.67/2.25 % (548650)CaDiCaL version: 2.1.3
% 13.67/2.25 % (548650)Termination reason: Refutation not found, incomplete strategy
% 13.67/2.25 % (548650)Time elapsed: 0.0000 s
% 13.67/2.25 % (548650)Peak memory usage: 11 MB
% 13.67/2.25 % (548650)------------------------------
% 13.67/2.25 % (548650)------------------------------
% 13.67/2.25 % (548651)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3686615227:i=766:bd=all:rtra=on_2981 on theBenchmark for (2981ds/766Mi)
% 14.84/2.41 % (548651)Refutation not found, incomplete strategy
% 14.84/2.41 % (548651)------------------------------
% 14.84/2.41 % (548651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.41 % (548651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.41 % (548651)CaDiCaL version: 2.1.3
% 14.84/2.41 % (548651)Termination reason: Refutation not found, incomplete strategy
% 14.84/2.41 % (548651)Time elapsed: 0.001 s
% 14.84/2.41 % (548651)Peak memory usage: 12 MB
% 14.84/2.41 % (548651)Instructions burned: 1 (million)
% 14.84/2.41 % (548653)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 14.84/2.41 % (548651)------------------------------
% 14.84/2.41 % (548651)------------------------------
% 14.84/2.41 % (548653)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=1631671079:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2981 on theBenchmark for (2981ds/959Mi)
% 14.84/2.41 % (548653)Refutation not found, incomplete strategy
% 14.84/2.41 % (548653)------------------------------
% 14.84/2.41 % (548653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.41 % (548653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.41 % (548653)CaDiCaL version: 2.1.3
% 14.84/2.41 % (548653)Termination reason: Refutation not found, incomplete strategy
% 14.84/2.41 % (548653)Time elapsed: 0.0000 s
% 14.84/2.41 % (548653)Peak memory usage: 11 MB
% 14.84/2.41 % (548653)------------------------------
% 14.84/2.41 % (548653)------------------------------
% 14.84/2.41 % (548632)Instruction limit reached!
% 14.84/2.41 % (548632)------------------------------
% 14.84/2.41 % (548632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.41 % (548632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.41 % (548632)CaDiCaL version: 2.1.3
% 14.84/2.41 % (548632)Termination reason: Instruction limit
% 14.84/2.41 % (548632)Termination phase: Saturation
% 14.84/2.41 % (548632)Time elapsed: 0.252 s
% 14.84/2.41 % (548632)Peak memory usage: 12 MB
% 14.84/2.41 % (548632)Instructions burned: 701 (million)
% 14.84/2.41 % (548657)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=455283069:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2981 on theBenchmark for (2981ds/35Mi)
% 14.84/2.41 % (548657)Refutation not found, incomplete strategy
% 14.84/2.41 % (548657)------------------------------
% 14.84/2.41 % (548657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.41 % (548657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.41 % (548657)CaDiCaL version: 2.1.3
% 14.84/2.41 % (548657)Termination reason: Refutation not found, incomplete strategy
% 14.84/2.41 % (548657)Time elapsed: 0.0000 s
% 14.84/2.41 % (548657)Peak memory usage: 11 MB
% 14.84/2.41 % (548657)------------------------------
% 14.84/2.41 % (548657)------------------------------
% 14.84/2.41 % (548655)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=2839400713:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2981 on theBenchmark for (2981ds/6359Mi)
% 14.84/2.41 % (548658)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2187603517:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2981 on theBenchmark for (2981ds/53Mi)
% 14.84/2.41 % (548660)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3476979203:s2a=on:i=876:s2at=6:nm=2:rtra=on_2981 on theBenchmark for (2981ds/876Mi)
% 14.84/2.41 % (548658)Instruction limit reached!
% 14.84/2.41 % (548658)------------------------------
% 14.84/2.41 % (548658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.41 % (548658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.41 % (548658)CaDiCaL version: 2.1.3
% 14.84/2.41 % (548658)Termination reason: Instruction limit
% 14.84/2.41 % (548658)Termination phase: Saturation
% 14.84/2.41 % (548658)Time elapsed: 0.017 s
% 14.84/2.41 % (548658)Peak memory usage: 12 MB
% 14.84/2.41 % (548658)Instructions burned: 53 (million)
% 14.84/2.41 % (548664)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1447738955:i=57:ep=R:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/57Mi)
% 14.84/2.50 % (548567)Instruction limit reached!
% 14.84/2.50 % (548567)------------------------------
% 14.84/2.50 % (548567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.50 % (548567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.50 % (548567)CaDiCaL version: 2.1.3
% 14.84/2.50 % (548567)Termination reason: Instruction limit
% 14.84/2.50 % (548567)Termination phase: Saturation
% 14.84/2.50 % (548567)Time elapsed: 0.882 s
% 14.84/2.50 % (548567)Peak memory usage: 18 MB
% 14.84/2.50 % (548567)Instructions burned: 2472 (million)
% 14.84/2.50 % (548664)Instruction limit reached!
% 14.84/2.50 % (548664)------------------------------
% 14.84/2.50 % (548664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.50 % (548666)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 14.84/2.50 % (548664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.50 % (548664)CaDiCaL version: 2.1.3
% 14.84/2.50 % (548664)Termination reason: Instruction limit
% 14.84/2.50 % (548664)Termination phase: Saturation
% 14.84/2.50 % (548664)Time elapsed: 0.015 s
% 14.84/2.50 % (548664)Peak memory usage: 12 MB
% 14.84/2.50 % (548664)Instructions burned: 60 (million)
% 14.84/2.50 % (548666)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3103600323:i=306:bd=all:rtra=on_2980 on theBenchmark for (2980ds/306Mi)
% 14.84/2.50 % (548666)Refutation not found, incomplete strategy
% 14.84/2.50 % (548666)------------------------------
% 14.84/2.50 % (548666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.50 % (548666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.50 % (548666)CaDiCaL version: 2.1.3
% 14.84/2.50 % (548666)Termination reason: Refutation not found, incomplete strategy
% 14.84/2.50 % (548666)Time elapsed: 0.001 s
% 14.84/2.50 % (548666)Peak memory usage: 11 MB
% 14.84/2.50 % (548666)Instructions burned: 1 (million)
% 14.84/2.50 % (548666)------------------------------
% 14.84/2.50 % (548666)------------------------------
% 14.84/2.50 % (548667)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=4075922756:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/262Mi)
% 14.84/2.50 % (548667)Refutation not found, incomplete strategy
% 14.84/2.50 % (548667)------------------------------
% 14.84/2.50 % (548667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.50 % (548667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.50 % (548667)CaDiCaL version: 2.1.3
% 14.84/2.50 % (548667)Termination reason: Refutation not found, incomplete strategy
% 14.84/2.50 % (548667)Time elapsed: 0.0000 s
% 14.84/2.50 % (548667)Peak memory usage: 11 MB
% 14.84/2.50 % (548667)------------------------------
% 14.84/2.50 % (548667)------------------------------
% 14.84/2.50 % (548669)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 14.84/2.50 % (548669)ott+1002_16_sil=128000:si=on:random_seed=2641303293:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2980 on theBenchmark for (2980ds/409Mi)
% 14.84/2.50 % (548672)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2489166863:s2a=on:i=381:rtra=on_2980 on theBenchmark for (2980ds/381Mi)
% 14.84/2.50 % (548669)Instruction limit reached!
% 14.84/2.50 % (548669)------------------------------
% 14.84/2.50 % (548669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.50 % (548669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.50 % (548669)CaDiCaL version: 2.1.3
% 14.84/2.50 % (548669)Termination reason: Instruction limit
% 14.84/2.50 % (548669)Termination phase: Saturation
% 14.84/2.50 % (548669)Time elapsed: 0.146 s
% 14.84/2.50 % (548669)Peak memory usage: 13 MB
% 14.84/2.50 % (548669)Instructions burned: 411 (million)
% 14.84/2.50 % (548672)Instruction limit reached!
% 14.84/2.50 % (548672)------------------------------
% 14.84/2.50 % (548672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.50 % (548672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.50 % (548672)CaDiCaL version: 2.1.3
% 14.84/2.50 % (548672)Termination reason: Instruction limit
% 14.84/2.50 % (548672)Termination phase: Saturation
% 14.84/2.50 % (548672)Time elapsed: 0.141 s
% 14.84/2.50 % (548672)Peak memory usage: 12 MB
% 16.17/2.67 % (548672)Instructions burned: 385 (million)
% 16.17/2.67 % (548676)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2966939785:cond=on:i=324:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/324Mi)
% 16.17/2.67 % (548677)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=1137864891:i=240:kws=inv_precedence:rtra=on_2978 on theBenchmark for (2978ds/240Mi)
% 16.17/2.67 % (548677)Refutation not found, incomplete strategy
% 16.17/2.67 % (548677)------------------------------
% 16.17/2.67 % (548677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.67 % (548677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.67 % (548677)CaDiCaL version: 2.1.3
% 16.17/2.67 % (548677)Termination reason: Refutation not found, incomplete strategy
% 16.17/2.67 % (548677)Time elapsed: 0.001 s
% 16.17/2.67 % (548677)Peak memory usage: 11 MB
% 16.17/2.67 % (548677)Instructions burned: 1 (million)
% 16.17/2.67 % (548677)------------------------------
% 16.17/2.67 % (548677)------------------------------
% 16.17/2.67 % (548680)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.17/2.67 % (548680)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3001789938:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/124Mi)
% 16.17/2.67 % (548676)Instruction limit reached!
% 16.17/2.67 % (548676)------------------------------
% 16.17/2.67 % (548676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.67 % (548676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.67 % (548676)CaDiCaL version: 2.1.3
% 16.17/2.67 % (548676)Termination reason: Instruction limit
% 16.17/2.67 % (548676)Termination phase: Saturation
% 16.17/2.67 % (548676)Time elapsed: 0.074 s
% 16.17/2.67 % (548676)Peak memory usage: 12 MB
% 16.17/2.67 % (548676)Instructions burned: 329 (million)
% 16.17/2.67 % (548680)Instruction limit reached!
% 16.17/2.67 % (548680)------------------------------
% 16.17/2.67 % (548680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.67 % (548680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.67 % (548680)CaDiCaL version: 2.1.3
% 16.17/2.67 % (548680)Termination reason: Instruction limit
% 16.17/2.67 % (548680)Termination phase: Saturation
% 16.17/2.67 % (548680)Time elapsed: 0.048 s
% 16.17/2.67 % (548680)Peak memory usage: 12 MB
% 16.17/2.67 % (548680)Instructions burned: 124 (million)
% 16.17/2.67 % (548687)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2656033284:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2977 on theBenchmark for (2977ds/223Mi)
% 16.17/2.67 % (548688)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=784178403:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2977 on theBenchmark for (2977ds/282Mi)
% 16.17/2.67 % (548687)Instruction limit reached!
% 16.17/2.67 % (548687)------------------------------
% 16.17/2.67 % (548687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.67 % (548687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.67 % (548687)CaDiCaL version: 2.1.3
% 16.17/2.67 % (548687)Termination reason: Instruction limit
% 16.17/2.67 % (548687)Termination phase: Saturation
% 16.17/2.67 % (548687)Time elapsed: 0.044 s
% 16.17/2.67 % (548687)Peak memory usage: 12 MB
% 16.17/2.67 % (548687)Instructions burned: 228 (million)
% 16.17/2.67 % (548660)Instruction limit reached!
% 16.17/2.67 % (548660)------------------------------
% 16.17/2.67 % (548660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.67 % (548660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.67 % (548660)CaDiCaL version: 2.1.3
% 16.17/2.67 % (548660)Termination reason: Instruction limit
% 16.17/2.67 % (548660)Termination phase: Saturation
% 16.17/2.67 % (548660)Time elapsed: 0.355 s
% 16.17/2.67 % (548660)Peak memory usage: 13 MB
% 16.17/2.67 % (548660)Instructions burned: 877 (million)
% 16.17/2.67 % (548647)Instruction limit reached!
% 16.17/2.67 % (548647)------------------------------
% 16.17/2.67 % (548647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.67 % (548647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.67 % (548647)CaDiCaL version: 2.1.3
% 16.17/2.67 % (548647)Termination reason: Instruction limit
% 16.17/2.67 % (548647)Termination phase: Saturation
% 16.17/2.67 % (548647)Time elapsed: 0.445 s
% 16.50/2.77 % (548647)Peak memory usage: 14 MB
% 16.50/2.77 % (548647)Instructions burned: 1143 (million)
% 16.50/2.77 % (548696)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=548787130:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/464Mi)
% 16.50/2.77 % (548696)Refutation not found, incomplete strategy
% 16.50/2.77 % (548696)------------------------------
% 16.50/2.77 % (548696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.50/2.77 % (548696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/2.77 % (548696)CaDiCaL version: 2.1.3
% 16.50/2.77 % (548696)Termination reason: Refutation not found, incomplete strategy
% 16.50/2.77 % (548696)Time elapsed: 0.0000 s
% 16.50/2.77 % (548696)Peak memory usage: 11 MB
% 16.50/2.77 % (548696)Instructions burned: 1 (million)
% 16.50/2.77 % (548696)------------------------------
% 16.50/2.77 % (548696)------------------------------
% 16.50/2.77 % (548700)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 16.50/2.77 % (548700)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3306505204:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/4386Mi)
% 16.50/2.77 % (548697)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1763181923:i=88:s2at=3:nm=2:rtra=on:rawr=on_2977 on theBenchmark for (2977ds/88Mi)
% 16.50/2.77 % (548698)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1078858565:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2977 on theBenchmark for (2977ds/280Mi)
% 16.50/2.77 % (548697)Instruction limit reached!
% 16.50/2.77 % (548697)------------------------------
% 16.50/2.77 % (548697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.50/2.77 % (548697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/2.77 % (548697)CaDiCaL version: 2.1.3
% 16.50/2.77 % (548697)Termination reason: Instruction limit
% 16.50/2.77 % (548697)Termination phase: Saturation
% 16.50/2.77 % (548697)Time elapsed: 0.036 s
% 16.50/2.77 % (548697)Peak memory usage: 13 MB
% 16.50/2.77 % (548697)Instructions burned: 90 (million)
% 16.50/2.77 % (548704)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 16.50/2.77 % (548704)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 16.50/2.77 % (548704)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=3567373585:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2976 on theBenchmark for (2976ds/483Mi)
% 16.50/2.77 % (548704)Refutation not found, incomplete strategy
% 16.50/2.77 % (548704)------------------------------
% 16.50/2.77 % (548704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.50/2.77 % (548704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/2.77 % (548704)CaDiCaL version: 2.1.3
% 16.50/2.77 % (548704)Termination reason: Refutation not found, incomplete strategy
% 16.50/2.77 % (548704)Time elapsed: 0.001 s
% 16.50/2.77 % (548704)Peak memory usage: 12 MB
% 16.50/2.77 % (548688)Instruction limit reached!
% 16.50/2.77 % (548688)------------------------------
% 16.50/2.77 % (548688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.50/2.77 % (548688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/2.77 % (548688)CaDiCaL version: 2.1.3
% 16.50/2.77 % (548688)Termination reason: Instruction limit
% 16.50/2.77 % (548688)Termination phase: Saturation
% 16.50/2.77 % (548688)Time elapsed: 0.118 s
% 16.50/2.77 % (548688)Peak memory usage: 12 MB
% 16.50/2.77 % (548688)Instructions burned: 283 (million)
% 16.50/2.77 % (548704)------------------------------
% 16.50/2.77 % (548704)------------------------------
% 16.50/2.77 % (548706)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3409765814:i=73:rtra=on_2976 on theBenchmark for (2976ds/73Mi)
% 16.50/2.77 % (548706)Refutation not found, incomplete strategy
% 16.50/2.77 % (548706)------------------------------
% 16.50/2.77 % (548706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.50/2.77 % (548706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.99 % (548706)CaDiCaL version: 2.1.3
% 17.23/2.99 % (548706)Termination reason: Refutation not found, incomplete strategy
% 17.23/2.99 % (548706)Time elapsed: 0.001 s
% 17.23/2.99 % (548706)Peak memory usage: 11 MB
% 17.23/2.99 % (548706)Instructions burned: 1 (million)
% 17.23/2.99 % (548706)------------------------------
% 17.23/2.99 % (548706)------------------------------
% 17.23/2.99 % (548707)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1255821897:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2976 on theBenchmark for (2976ds/176Mi)
% 17.23/2.99 % (548710)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 17.23/2.99 % (548710)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1343199188:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2976 on theBenchmark for (2976ds/39Mi)
% 17.23/2.99 % (548710)Instruction limit reached!
% 17.23/2.99 % (548710)------------------------------
% 17.23/2.99 % (548710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.99 % (548710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.99 % (548710)CaDiCaL version: 2.1.3
% 17.23/2.99 % (548710)Termination reason: Instruction limit
% 17.23/2.99 % (548710)Termination phase: Saturation
% 17.23/2.99 % (548710)Time elapsed: 0.019 s
% 17.23/2.99 % (548710)Peak memory usage: 12 MB
% 17.23/2.99 % (548710)Instructions burned: 39 (million)
% 17.23/2.99 % (548714)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3332268641:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2975 on theBenchmark for (2975ds/708Mi)
% 17.23/2.99 % (548698)Instruction limit reached!
% 17.23/2.99 % (548698)------------------------------
% 17.23/2.99 % (548698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.99 % (548698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.99 % (548698)CaDiCaL version: 2.1.3
% 17.23/2.99 % (548698)Termination reason: Instruction limit
% 17.23/2.99 % (548698)Termination phase: Saturation
% 17.23/2.99 % (548698)Time elapsed: 0.127 s
% 17.23/2.99 % (548698)Peak memory usage: 12 MB
% 17.23/2.99 % (548698)Instructions burned: 280 (million)
% 17.23/2.99 % (548716)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 17.23/2.99 % (548716)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1908323265:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/252Mi)
% 17.23/2.99 % (548707)Instruction limit reached!
% 17.23/2.99 % (548707)------------------------------
% 17.23/2.99 % (548707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.99 % (548707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.99 % (548707)CaDiCaL version: 2.1.3
% 17.23/2.99 % (548707)Termination reason: Instruction limit
% 17.23/2.99 % (548707)Termination phase: Saturation
% 17.23/2.99 % (548707)Time elapsed: 0.075 s
% 17.23/2.99 % (548707)Peak memory usage: 12 MB
% 17.23/2.99 % (548707)Instructions burned: 177 (million)
% 17.23/2.99 % (548719)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=838356700:i=823:fsr=off:rtra=on_2975 on theBenchmark for (2975ds/823Mi)
% 17.23/2.99 % (548716)Instruction limit reached!
% 17.23/2.99 % (548716)------------------------------
% 17.23/2.99 % (548716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.99 % (548716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.99 % (548716)CaDiCaL version: 2.1.3
% 17.23/2.99 % (548716)Termination reason: Instruction limit
% 17.23/2.99 % (548716)Termination phase: Saturation
% 17.23/2.99 % (548716)Time elapsed: 0.083 s
% 17.23/2.99 % (548716)Peak memory usage: 12 MB
% 17.23/2.99 % (548716)Instructions burned: 252 (million)
% 17.23/2.99 % (548721)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 17.23/2.99 % (548721)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2902147837:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/16202Mi)
% 17.23/2.99 % (548721)Refutation not found, incomplete strategy
% 19.94/3.06 % (548721)------------------------------
% 19.94/3.06 % (548721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.94/3.06 % (548721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.94/3.06 % (548721)CaDiCaL version: 2.1.3
% 19.94/3.06 % (548721)Termination reason: Refutation not found, incomplete strategy
% 19.94/3.06 % (548721)Time elapsed: 0.001 s
% 19.94/3.06 % (548721)Peak memory usage: 11 MB
% 19.94/3.06 % (548721)Instructions burned: 1 (million)
% 19.94/3.06 % (548721)------------------------------
% 19.94/3.06 % (548721)------------------------------
% 19.94/3.06 % (548723)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=134233546:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/300Mi)
% 19.94/3.06 % (548714)Instruction limit reached!
% 19.94/3.06 % (548714)------------------------------
% 19.94/3.06 % (548714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.94/3.06 % (548714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.94/3.06 % (548714)CaDiCaL version: 2.1.3
% 19.94/3.06 % (548714)Termination reason: Instruction limit
% 19.94/3.06 % (548714)Termination phase: Saturation
% 19.94/3.06 % (548714)Time elapsed: 0.160 s
% 19.94/3.06 % (548714)Peak memory usage: 13 MB
% 19.94/3.06 % (548714)Instructions burned: 709 (million)
% 19.94/3.06 % (548725)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 19.94/3.06 % (548725)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 19.94/3.06 % (548725)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=2615726425:i=177:add=on:bd=preordered:rtra=on:rawr=on_2974 on theBenchmark for (2974ds/177Mi)
% 19.94/3.06 % (548640)Instruction limit reached!
% 19.94/3.06 % (548640)------------------------------
% 19.94/3.06 % (548640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.94/3.06 % (548640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.94/3.06 % (548640)CaDiCaL version: 2.1.3
% 19.94/3.06 % (548640)Termination reason: Instruction limit
% 19.94/3.06 % (548640)Termination phase: Saturation
% 19.94/3.06 % (548640)Time elapsed: 0.867 s
% 19.94/3.06 % (548640)Peak memory usage: 17 MB
% 19.94/3.06 % (548640)Instructions burned: 2240 (million)
% 19.94/3.06 % (548727)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1885316120:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/715Mi)
% 19.94/3.06 % (548727)Refutation not found, incomplete strategy
% 19.94/3.06 % (548727)------------------------------
% 19.94/3.06 % (548727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.94/3.06 % (548727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.94/3.06 % (548727)CaDiCaL version: 2.1.3
% 19.94/3.06 % (548727)Termination reason: Refutation not found, incomplete strategy
% 19.94/3.06 % (548727)Time elapsed: 0.001 s
% 19.94/3.06 % (548727)Peak memory usage: 11 MB
% 19.94/3.06 % (548727)Instructions burned: 1 (million)
% 19.94/3.06 % (548727)------------------------------
% 19.94/3.06 % (548727)------------------------------
% 19.94/3.06 % (548729)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 19.94/3.06 % (548729)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 19.94/3.06 % (548725)Instruction limit reached!
% 19.94/3.06 % (548725)------------------------------
% 19.94/3.06 % (548725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.94/3.06 % (548725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.94/3.06 % (548725)CaDiCaL version: 2.1.3
% 19.94/3.06 % (548725)Termination reason: Instruction limit
% 19.94/3.06 % (548725)Termination phase: Saturation
% 19.94/3.06 % (548725)Time elapsed: 0.045 s
% 19.94/3.06 % (548725)Peak memory usage: 12 MB
% 19.94/3.06 % (548725)Instructions burned: 180 (million)
% 19.94/3.06 % (548729)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=382118574:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2973 on theBenchmark for (2973ds/230Mi)
% 19.94/3.06 % (548729)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.99/3.24 % (548730)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2128787744:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2973 on theBenchmark for (2973ds/606Mi)
% 20.99/3.24 % (548723)Instruction limit reached!
% 20.99/3.24 % (548723)------------------------------
% 20.99/3.24 % (548723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.99/3.24 % (548723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/3.24 % (548723)CaDiCaL version: 2.1.3
% 20.99/3.24 % (548723)Termination reason: Instruction limit
% 20.99/3.24 % (548723)Termination phase: Saturation
% 20.99/3.24 % (548723)Time elapsed: 0.111 s
% 20.99/3.24 % (548723)Peak memory usage: 12 MB
% 20.99/3.24 % (548723)Instructions burned: 301 (million)
% 20.99/3.24 % (548733)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 20.99/3.24 % (548733)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2872801291:lrd=on:i=841:nm=0:rtra=on_2973 on theBenchmark for (2973ds/841Mi)
% 20.99/3.24 % (548729)Instruction limit reached!
% 20.99/3.24 % (548729)------------------------------
% 20.99/3.24 % (548729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.99/3.24 % (548729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/3.24 % (548729)CaDiCaL version: 2.1.3
% 20.99/3.24 % (548729)Termination reason: Instruction limit
% 20.99/3.24 % (548729)Termination phase: Saturation
% 20.99/3.24 % (548729)Time elapsed: 0.100 s
% 20.99/3.24 % (548729)Peak memory usage: 13 MB
% 20.99/3.24 % (548729)Instructions burned: 231 (million)
% 20.99/3.24 % (548735)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3251224263:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2972 on theBenchmark for (2972ds/445Mi)
% 20.99/3.24 % (548719)Instruction limit reached!
% 20.99/3.24 % (548719)------------------------------
% 20.99/3.24 % (548719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.99/3.24 % (548719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/3.24 % (548719)CaDiCaL version: 2.1.3
% 20.99/3.24 % (548719)Termination reason: Instruction limit
% 20.99/3.24 % (548719)Termination phase: Saturation
% 20.99/3.24 % (548719)Time elapsed: 0.324 s
% 20.99/3.24 % (548719)Peak memory usage: 14 MB
% 20.99/3.24 % (548719)Instructions burned: 824 (million)
% 20.99/3.24 % (548737)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=290371383:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2972 on theBenchmark for (2972ds/71Mi)
% 20.99/3.24 % (548737)Instruction limit reached!
% 20.99/3.24 % (548737)------------------------------
% 20.99/3.24 % (548737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.99/3.24 % (548737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/3.24 % (548737)CaDiCaL version: 2.1.3
% 20.99/3.24 % (548737)Termination reason: Instruction limit
% 20.99/3.24 % (548737)Termination phase: Saturation
% 20.99/3.24 % (548737)Time elapsed: 0.032 s
% 20.99/3.24 % (548737)Peak memory usage: 12 MB
% 20.99/3.24 % (548737)Instructions burned: 72 (million)
% 20.99/3.24 % (548730)Instruction limit reached!
% 20.99/3.24 % (548730)------------------------------
% 20.99/3.24 % (548730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.99/3.24 % (548730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/3.24 % (548730)CaDiCaL version: 2.1.3
% 20.99/3.24 % (548730)Termination reason: Instruction limit
% 20.99/3.24 % (548730)Termination phase: Saturation
% 20.99/3.24 % (548730)Time elapsed: 0.197 s
% 20.99/3.24 % (548730)Peak memory usage: 13 MB
% 20.99/3.24 % (548730)Instructions burned: 608 (million)
% 20.99/3.24 % (548739)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 20.99/3.24 % (548739)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 20.99/3.24 % (548740)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 20.99/3.24 % (548739)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1435633005:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2971 on theBenchmark for (2971ds/100Mi)
% 21.41/3.30 % (548740)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=2805593630:i=1352:add=on:aac=none:rtra=on_2971 on theBenchmark for (2971ds/1352Mi)
% 21.41/3.30 % (548740)Refutation not found, incomplete strategy
% 21.41/3.30 % (548740)------------------------------
% 21.41/3.30 % (548740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.41/3.30 % (548740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.41/3.30 % (548740)CaDiCaL version: 2.1.3
% 21.41/3.30 % (548740)Termination reason: Refutation not found, incomplete strategy
% 21.41/3.30 % (548740)Time elapsed: 0.001 s
% 21.41/3.30 % (548740)Peak memory usage: 11 MB
% 21.41/3.30 % (548740)Instructions burned: 2 (million)
% 21.41/3.30 % (548740)------------------------------
% 21.41/3.30 % (548740)------------------------------
% 21.41/3.30 % (548743)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=370655571:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2971 on theBenchmark for (2971ds/646Mi)
% 21.41/3.30 % (548739)Instruction limit reached!
% 21.41/3.30 % (548739)------------------------------
% 21.41/3.30 % (548739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.41/3.30 % (548739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.41/3.30 % (548739)CaDiCaL version: 2.1.3
% 21.41/3.30 % (548739)Termination reason: Instruction limit
% 21.41/3.30 % (548739)Termination phase: Saturation
% 21.41/3.30 % (548739)Time elapsed: 0.039 s
% 21.41/3.30 % (548739)Peak memory usage: 12 MB
% 21.41/3.30 % (548739)Instructions burned: 101 (million)
% 21.41/3.30 % (548735)Instruction limit reached!
% 21.41/3.30 % (548735)------------------------------
% 21.41/3.30 % (548735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.41/3.30 % (548735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.41/3.30 % (548735)CaDiCaL version: 2.1.3
% 21.41/3.30 % (548735)Termination reason: Instruction limit
% 21.41/3.30 % (548735)Termination phase: Saturation
% 21.41/3.30 % (548735)Time elapsed: 0.145 s
% 21.41/3.30 % (548735)Peak memory usage: 14 MB
% 21.41/3.30 % (548735)Instructions burned: 447 (million)
% 21.41/3.30 % (548745)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=516142507:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2971 on theBenchmark for (2971ds/1924Mi)
% 21.41/3.30 % (548745)Refutation not found, incomplete strategy
% 21.41/3.30 % (548745)------------------------------
% 21.41/3.30 % (548745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.41/3.30 % (548745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.41/3.30 % (548745)CaDiCaL version: 2.1.3
% 21.41/3.30 % (548745)Termination reason: Refutation not found, incomplete strategy
% 21.41/3.30 % (548745)Time elapsed: 0.0000 s
% 21.41/3.30 % (548745)Peak memory usage: 11 MB
% 21.41/3.30 % (548745)------------------------------
% 21.41/3.30 % (548745)------------------------------
% 21.41/3.30 % (548746)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1843064187:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/984Mi)
% 21.41/3.30 % (548746)Refutation not found, incomplete strategy
% 21.41/3.30 % (548746)------------------------------
% 21.41/3.30 % (548746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.41/3.30 % (548746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.41/3.30 % (548746)CaDiCaL version: 2.1.3
% 21.41/3.30 % (548746)Termination reason: Refutation not found, incomplete strategy
% 21.41/3.30 % (548746)Time elapsed: 0.001 s
% 21.41/3.30 % (548746)Peak memory usage: 12 MB
% 21.41/3.30 % (548746)Instructions burned: 1 (million)
% 21.41/3.30 % (548746)------------------------------
% 21.41/3.30 % (548746)------------------------------
% 21.41/3.30 % (548748)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=2811234266:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2970 on theBenchmark for (2970ds/592Mi)
% 21.41/3.30 % (548750)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=2136344752:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2970 on theBenchmark for (2970ds/872Mi)
% 21.41/3.30 % (548750)Refutation not found, incomplete strategy
% 22.35/3.47 % (548750)------------------------------
% 22.35/3.47 % (548750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.35/3.47 % (548750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.47 % (548750)CaDiCaL version: 2.1.3
% 22.35/3.47 % (548750)Termination reason: Refutation not found, incomplete strategy
% 22.35/3.47 % (548750)Time elapsed: 0.0000 s
% 22.35/3.47 % (548750)Peak memory usage: 11 MB
% 22.35/3.47 % (548750)------------------------------
% 22.35/3.47 % (548750)------------------------------
% 22.35/3.47 % (548753)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 22.35/3.47 % (548753)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2559800921:i=999:add=on:rtra=on_2970 on theBenchmark for (2970ds/999Mi)
% 22.35/3.47 % (548733)Instruction limit reached!
% 22.35/3.47 % (548733)------------------------------
% 22.35/3.47 % (548733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.35/3.47 % (548733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.47 % (548733)CaDiCaL version: 2.1.3
% 22.35/3.47 % (548733)Termination reason: Instruction limit
% 22.35/3.47 % (548733)Termination phase: Saturation
% 22.35/3.47 % (548733)Time elapsed: 0.350 s
% 22.35/3.47 % (548733)Peak memory usage: 13 MB
% 22.35/3.47 % (548733)Instructions burned: 842 (million)
% 22.35/3.47 % (548755)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.35/3.47 % (548755)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=2236019244:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2969 on theBenchmark for (2969ds/244Mi)
% 22.35/3.47 % (548755)Refutation not found, incomplete strategy
% 22.35/3.47 % (548755)------------------------------
% 22.35/3.47 % (548755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.35/3.47 % (548755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.47 % (548755)CaDiCaL version: 2.1.3
% 22.35/3.47 % (548755)Termination reason: Refutation not found, incomplete strategy
% 22.35/3.47 % (548755)Time elapsed: 0.002 s
% 22.35/3.47 % (548755)Peak memory usage: 12 MB
% 22.35/3.47 % (548755)Instructions burned: 2 (million)
% 22.35/3.47 % (548755)------------------------------
% 22.35/3.47 % (548755)------------------------------
% 22.35/3.47 % (548757)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3797820751:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2969 on theBenchmark for (2969ds/113Mi)
% 22.35/3.47 % (548757)Refutation not found, incomplete strategy
% 22.35/3.47 % (548757)------------------------------
% 22.35/3.47 % (548757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.35/3.47 % (548757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.47 % (548757)CaDiCaL version: 2.1.3
% 22.35/3.47 % (548757)Termination reason: Refutation not found, incomplete strategy
% 22.35/3.47 % (548757)Time elapsed: 0.001 s
% 22.35/3.47 % (548757)Peak memory usage: 11 MB
% 22.35/3.47 % (548757)Instructions burned: 1 (million)
% 22.35/3.47 % (548757)------------------------------
% 22.35/3.47 % (548757)------------------------------
% 22.35/3.47 % (548759)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1301453385:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/7795Mi)
% 22.35/3.47 % (548759)Refutation not found, incomplete strategy
% 22.35/3.47 % (548759)------------------------------
% 22.35/3.47 % (548759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.35/3.47 % (548759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.47 % (548759)CaDiCaL version: 2.1.3
% 22.35/3.47 % (548759)Termination reason: Refutation not found, incomplete strategy
% 22.35/3.47 % (548759)Time elapsed: 0.0000 s
% 22.35/3.47 % (548759)Peak memory usage: 11 MB
% 22.35/3.47 % (548759)------------------------------
% 22.35/3.47 % (548759)------------------------------
% 22.35/3.47 % (548761)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3142685017:st=2:i=5026:sd=1:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/5026Mi)
% 22.35/3.47 % (548761)Refutation not found, incomplete strategy
% 22.35/3.47 % (548761)------------------------------
% 23.38/3.61 % (548761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.38/3.61 % (548761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.38/3.61 % (548761)CaDiCaL version: 2.1.3
% 23.38/3.61 % (548761)Termination reason: Refutation not found, incomplete strategy
% 23.38/3.61 % (548761)Time elapsed: 0.0000 s
% 23.38/3.61 % (548761)Peak memory usage: 12 MB
% 23.38/3.61 % (548761)------------------------------
% 23.38/3.61 % (548761)------------------------------
% 23.38/3.61 % (548743)Instruction limit reached!
% 23.38/3.61 % (548743)------------------------------
% 23.38/3.61 % (548743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.38/3.61 % (548743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.38/3.61 % (548743)CaDiCaL version: 2.1.3
% 23.38/3.61 % (548743)Termination reason: Instruction limit
% 23.38/3.61 % (548743)Termination phase: Saturation
% 23.38/3.61 % (548743)Time elapsed: 0.235 s
% 23.38/3.61 % (548743)Peak memory usage: 14 MB
% 23.38/3.61 % (548743)Instructions burned: 646 (million)
% 23.38/3.61 % (548763)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 23.38/3.61 % (548763)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=745796477:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2968 on theBenchmark for (2968ds/763Mi)
% 23.38/3.61 % (548763)Refutation not found, incomplete strategy
% 23.38/3.61 % (548763)------------------------------
% 23.38/3.61 % (548763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.38/3.61 % (548763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.38/3.61 % (548763)CaDiCaL version: 2.1.3
% 23.38/3.61 % (548763)Termination reason: Refutation not found, incomplete strategy
% 23.38/3.61 % (548763)Time elapsed: 0.001 s
% 23.38/3.61 % (548763)Peak memory usage: 11 MB
% 23.38/3.61 % (548763)Instructions burned: 1 (million)
% 23.38/3.61 % (548763)------------------------------
% 23.38/3.61 % (548763)------------------------------
% 23.38/3.61 % (548764)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3574566667:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/1144Mi)
% 23.38/3.61 % (548764)Refutation not found, incomplete strategy
% 23.38/3.61 % (548764)------------------------------
% 23.38/3.61 % (548764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.38/3.61 % (548764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.38/3.61 % (548764)CaDiCaL version: 2.1.3
% 23.38/3.61 % (548764)Termination reason: Refutation not found, incomplete strategy
% 23.38/3.61 % (548764)Time elapsed: 0.0000 s
% 23.38/3.61 % (548764)Peak memory usage: 11 MB
% 23.38/3.61 % (548764)------------------------------
% 23.38/3.61 % (548764)------------------------------
% 23.38/3.61 % (548766)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 23.38/3.61 % (548768)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=2091779005:i=1724:fsr=off:rtra=on:fe=abstraction_2968 on theBenchmark for (2968ds/1724Mi)
% 23.38/3.61 % (548766)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=3632803142:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2968 on theBenchmark for (2968ds/52Mi)
% 23.38/3.61 % (548766)Instruction limit reached!
% 23.38/3.61 % (548766)------------------------------
% 23.38/3.61 % (548766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.38/3.61 % (548766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.38/3.61 % (548766)CaDiCaL version: 2.1.3
% 23.38/3.61 % (548766)Termination reason: Instruction limit
% 23.38/3.61 % (548766)Termination phase: Saturation
% 23.38/3.61 % (548766)Time elapsed: 0.021 s
% 23.38/3.61 % (548766)Peak memory usage: 12 MB
% 23.38/3.61 % (548766)Instructions burned: 52 (million)
% 23.38/3.61 % (548748)Instruction limit reached!
% 23.38/3.61 % (548748)------------------------------
% 23.38/3.61 % (548748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.38/3.61 % (548748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.38/3.61 % (548748)CaDiCaL version: 2.1.3
% 23.38/3.61 % (548748)Termination reason: Instruction limit
% 23.38/3.61 % (548748)Termination phase: Saturation
% 23.38/3.61 % (548748)Time elapsed: 0.244 s
% 25.10/4.01 % (548748)Peak memory usage: 12 MB
% 25.10/4.01 % (548748)Instructions burned: 595 (million)
% 25.10/4.01 % (548771)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=2282076754:i=439:add=on:slsql=off:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/439Mi)
% 25.10/4.01 % (548772)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3495260426:i=6395:sd=1:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/6395Mi)
% 25.10/4.01 % (548772)Refutation not found, incomplete strategy
% 25.10/4.01 % (548772)------------------------------
% 25.10/4.01 % (548772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.10/4.01 % (548772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.10/4.01 % (548772)CaDiCaL version: 2.1.3
% 25.10/4.01 % (548772)Termination reason: Refutation not found, incomplete strategy
% 25.10/4.01 % (548772)Time elapsed: 0.0000 s
% 25.10/4.01 % (548772)Peak memory usage: 12 MB
% 25.10/4.01 % (548772)------------------------------
% 25.10/4.01 % (548772)------------------------------
% 25.10/4.01 % (548775)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 25.10/4.01 % (548775)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=304827206:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/6762Mi)
% 25.10/4.01 % (548775)Refutation not found, incomplete strategy
% 25.10/4.01 % (548775)------------------------------
% 25.10/4.01 % (548775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.10/4.01 % (548775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.10/4.01 % (548775)CaDiCaL version: 2.1.3
% 25.10/4.01 % (548775)Termination reason: Refutation not found, incomplete strategy
% 25.10/4.01 % (548775)Time elapsed: 0.0000 s
% 25.10/4.01 % (548775)Peak memory usage: 11 MB
% 25.10/4.01 % (548775)------------------------------
% 25.10/4.01 % (548775)------------------------------
% 25.10/4.01 % (548777)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 25.10/4.01 % (548777)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=2948907416:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2967 on theBenchmark for (2967ds/376Mi)
% 25.10/4.01 % (548753)Instruction limit reached!
% 25.10/4.01 % (548753)------------------------------
% 25.10/4.01 % (548753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.10/4.01 % (548753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.10/4.01 % (548753)CaDiCaL version: 2.1.3
% 25.10/4.01 % (548753)Termination reason: Instruction limit
% 25.10/4.01 % (548753)Termination phase: Saturation
% 25.10/4.01 % (548753)Time elapsed: 0.303 s
% 25.10/4.01 % (548753)Peak memory usage: 14 MB
% 25.10/4.01 % (548753)Instructions burned: 999 (million)
% 25.10/4.01 % (548779)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=4293158199:i=965:bd=all:ins=4:rtra=on_2967 on theBenchmark for (2967ds/965Mi)
% 25.10/4.01 % (548771)Instruction limit reached!
% 25.10/4.01 % (548771)------------------------------
% 25.10/4.01 % (548771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.10/4.01 % (548771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.10/4.01 % (548771)CaDiCaL version: 2.1.3
% 25.10/4.01 % (548771)Termination reason: Instruction limit
% 25.10/4.01 % (548771)Termination phase: Saturation
% 25.10/4.01 % (548771)Time elapsed: 0.135 s
% 25.10/4.01 % (548771)Peak memory usage: 12 MB
% 25.10/4.01 % (548771)Instructions burned: 440 (million)
% 25.10/4.01 % (548781)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1957225831:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/5013Mi)
% 25.10/4.01 % (548781)Refutation not found, incomplete strategy
% 25.10/4.01 % (548781)------------------------------
% 25.10/4.01 % (548781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.10/4.01 % (548781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.10/4.01 % (548781)CaDiCaL version: 2.1.3
% 25.10/4.01 % (548781)Termination reason: Refutation not found, incomplete strategy
% 25.10/4.01 % (548781)Time elapsed: 0.001 s
% 25.10/4.01 % (548781)Peak memory usage: 12 MB
% 25.10/4.01 % (548781)------------------------------
% 27.58/4.14 % (548781)------------------------------
% 27.58/4.14 % (548783)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=1556072666:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2966 on theBenchmark for (2966ds/1583Mi)
% 27.58/4.14 % (548777)Instruction limit reached!
% 27.58/4.14 % (548777)------------------------------
% 27.58/4.14 % (548777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.58/4.14 % (548777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.58/4.14 % (548777)CaDiCaL version: 2.1.3
% 27.58/4.14 % (548777)Termination reason: Instruction limit
% 27.58/4.14 % (548777)Termination phase: Saturation
% 27.58/4.14 % (548777)Time elapsed: 0.183 s
% 27.58/4.14 % (548777)Peak memory usage: 14 MB
% 27.58/4.14 % (548777)Instructions burned: 378 (million)
% 27.58/4.14 % (548785)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 27.58/4.14 % (548785)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 27.58/4.14 % (548785)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 27.58/4.14 % (548785)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 27.58/4.14 % (548785)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=4057866027:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2965 on theBenchmark for (2965ds/1774Mi)
% 27.58/4.14 % (548785)Refutation not found, incomplete strategy
% 27.58/4.14 % (548785)------------------------------
% 27.58/4.14 % (548785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.58/4.14 % (548785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.58/4.14 % (548785)CaDiCaL version: 2.1.3
% 27.58/4.14 % (548785)Termination reason: Refutation not found, incomplete strategy
% 27.58/4.14 % (548785)Time elapsed: 0.001 s
% 27.58/4.14 % (548785)Peak memory usage: 12 MB
% 27.58/4.14 % (548785)------------------------------
% 27.58/4.14 % (548785)------------------------------
% 27.58/4.14 % (548787)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3325096058:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/515Mi)
% 27.58/4.14 % (548787)Refutation not found, incomplete strategy
% 27.58/4.14 % (548787)------------------------------
% 27.58/4.14 % (548787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.58/4.14 % (548787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.58/4.14 % (548787)CaDiCaL version: 2.1.3
% 27.58/4.14 % (548787)Termination reason: Refutation not found, incomplete strategy
% 27.58/4.14 % (548787)Time elapsed: 0.001 s
% 27.58/4.14 % (548787)Peak memory usage: 12 MB
% 27.58/4.14 % (548787)------------------------------
% 27.58/4.14 % (548787)------------------------------
% 27.58/4.14 % (548491)Instruction limit reached!
% 27.58/4.14 % (548491)------------------------------
% 27.58/4.14 % (548491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.58/4.14 % (548491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.58/4.14 % (548491)CaDiCaL version: 2.1.3
% 27.58/4.14 % (548491)Termination reason: Instruction limit
% 27.58/4.14 % (548491)Termination phase: Saturation
% 27.58/4.14 % (548491)Time elapsed: 2.898 s
% 27.58/4.14 % (548491)Peak memory usage: 14 MB
% 27.58/4.14 % (548491)Instructions burned: 9840 (million)
% 27.58/4.14 % (548789)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 27.58/4.14 % (548789)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=3696369987:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2965 on theBenchmark for (2965ds/1297Mi)
% 27.58/4.14 % (548790)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=3778057433:s2a=on:i=611:rtra=on:gsp=on_2965 on theBenchmark for (2965ds/611Mi)
% 27.58/4.14 % (548790)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 28.28/4.34 % (548768)Instruction limit reached!
% 28.28/4.34 % (548768)------------------------------
% 28.28/4.34 % (548768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.28/4.34 % (548768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.28/4.34 % (548768)CaDiCaL version: 2.1.3
% 28.28/4.34 % (548768)Termination reason: Instruction limit
% 28.28/4.34 % (548768)Termination phase: Saturation
% 28.28/4.34 % (548768)Time elapsed: 0.418 s
% 28.28/4.34 % (548768)Peak memory usage: 13 MB
% 28.28/4.34 % (548768)Instructions burned: 1726 (million)
% 28.28/4.34 % (548793)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 28.28/4.34 % (548793)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2596304290:i=72:bd=all:rtra=on_2964 on theBenchmark for (2964ds/72Mi)
% 28.28/4.34 % (548793)Refutation not found, incomplete strategy
% 28.28/4.34 % (548793)------------------------------
% 28.28/4.34 % (548793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.28/4.34 % (548793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.28/4.34 % (548793)CaDiCaL version: 2.1.3
% 28.28/4.34 % (548793)Termination reason: Refutation not found, incomplete strategy
% 28.28/4.34 % (548793)Time elapsed: 0.0000 s
% 28.28/4.34 % (548793)Peak memory usage: 12 MB
% 28.28/4.34 % (548793)Instructions burned: 1 (million)
% 28.28/4.34 % (548793)------------------------------
% 28.28/4.34 % (548793)------------------------------
% 28.28/4.34 % (548795)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1683420304:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2964 on theBenchmark for (2964ds/6580Mi)
% 28.28/4.34 % (548779)Instruction limit reached!
% 28.28/4.34 % (548779)------------------------------
% 28.28/4.34 % (548779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.28/4.34 % (548779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.28/4.34 % (548779)CaDiCaL version: 2.1.3
% 28.28/4.34 % (548779)Termination reason: Instruction limit
% 28.28/4.34 % (548779)Termination phase: Saturation
% 28.28/4.34 % (548779)Time elapsed: 0.373 s
% 28.28/4.34 % (548779)Peak memory usage: 16 MB
% 28.28/4.34 % (548779)Instructions burned: 965 (million)
% 28.28/4.34 % (548797)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2132997138:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2963 on theBenchmark for (2963ds/6209Mi)
% 28.28/4.34 % (548797)Refutation not found, incomplete strategy
% 28.28/4.34 % (548797)------------------------------
% 28.28/4.34 % (548797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.28/4.34 % (548797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.28/4.34 % (548797)CaDiCaL version: 2.1.3
% 28.28/4.34 % (548797)Termination reason: Refutation not found, incomplete strategy
% 28.28/4.34 % (548797)Time elapsed: 0.001 s
% 28.28/4.34 % (548797)Peak memory usage: 12 MB
% 28.28/4.34 % (548797)------------------------------
% 28.28/4.34 % (548797)------------------------------
% 28.28/4.34 % (548799)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=3076855166:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2963 on theBenchmark for (2963ds/1003Mi)
% 28.28/4.34 % (548790)Instruction limit reached!
% 28.28/4.34 % (548790)------------------------------
% 28.28/4.34 % (548790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.28/4.34 % (548790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.28/4.34 % (548790)CaDiCaL version: 2.1.3
% 28.28/4.34 % (548790)Termination reason: Instruction limit
% 28.28/4.34 % (548790)Termination phase: Saturation
% 28.28/4.34 % (548790)Time elapsed: 0.234 s
% 28.28/4.34 % (548790)Peak memory usage: 13 MB
% 28.28/4.34 % (548790)Instructions burned: 612 (million)
% 28.28/4.34 % (548802)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 28.28/4.34 % (548802)ott+1002_16_sil=128000:si=on:random_seed=2001410812:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2962 on theBenchmark for (2962ds/409Mi)
% 28.28/4.34 % (548802)Instruction limit reached!
% 28.28/4.34 % (548802)------------------------------
% 28.28/4.34 % (548802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.47 % (548802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.47 % (548802)CaDiCaL version: 2.1.3
% 28.84/4.47 % (548802)Termination reason: Instruction limit
% 28.84/4.47 % (548802)Termination phase: Saturation
% 28.84/4.47 % (548802)Time elapsed: 0.142 s
% 28.84/4.47 % (548802)Peak memory usage: 12 MB
% 28.84/4.47 % (548802)Instructions burned: 411 (million)
% 28.84/4.47 % (548805)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=1431723253:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2961 on theBenchmark for (2961ds/403Mi)
% 28.84/4.47 % (548805)Refutation not found, incomplete strategy
% 28.84/4.47 % (548805)------------------------------
% 28.84/4.47 % (548805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.47 % (548805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.47 % (548805)CaDiCaL version: 2.1.3
% 28.84/4.47 % (548805)Termination reason: Refutation not found, incomplete strategy
% 28.84/4.47 % (548805)Time elapsed: 0.001 s
% 28.84/4.47 % (548805)Peak memory usage: 11 MB
% 28.84/4.47 % (548805)Instructions burned: 1 (million)
% 28.84/4.47 % (548805)------------------------------
% 28.84/4.47 % (548805)------------------------------
% 28.84/4.47 % (548807)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=3473366937:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2961 on theBenchmark for (2961ds/6843Mi)
% 28.84/4.47 % (548807)Refutation not found, incomplete strategy
% 28.84/4.47 % (548807)------------------------------
% 28.84/4.47 % (548807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.47 % (548807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.47 % (548807)CaDiCaL version: 2.1.3
% 28.84/4.47 % (548807)Termination reason: Refutation not found, incomplete strategy
% 28.84/4.47 % (548807)Time elapsed: 0.0000 s
% 28.84/4.47 % (548807)Peak memory usage: 11 MB
% 28.84/4.47 % (548807)Instructions burned: 1 (million)
% 28.84/4.47 % (548807)------------------------------
% 28.84/4.47 % (548807)------------------------------
% 28.84/4.47 % (548809)lrs+10_2:1_si=on:random_seed=2224998776:s2a=on:i=506:rtra=on:fe=abstraction_2960 on theBenchmark for (2960ds/506Mi)
% 28.84/4.47 % (548799)Instruction limit reached!
% 28.84/4.47 % (548799)------------------------------
% 28.84/4.47 % (548799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.47 % (548799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.47 % (548799)CaDiCaL version: 2.1.3
% 28.84/4.47 % (548799)Termination reason: Instruction limit
% 28.84/4.47 % (548799)Termination phase: Saturation
% 28.84/4.47 % (548799)Time elapsed: 0.255 s
% 28.84/4.47 % (548799)Peak memory usage: 13 MB
% 28.84/4.47 % (548799)Instructions burned: 1004 (million)
% 28.84/4.47 % (548811)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2474486278:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2960 on theBenchmark for (2960ds/888Mi)
% 28.84/4.47 % (548783)Instruction limit reached!
% 28.84/4.47 % (548783)------------------------------
% 28.84/4.47 % (548783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.47 % (548783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.47 % (548783)CaDiCaL version: 2.1.3
% 28.84/4.47 % (548783)Termination reason: Instruction limit
% 28.84/4.47 % (548783)Termination phase: Saturation
% 28.84/4.47 % (548783)Time elapsed: 0.626 s
% 28.84/4.47 % (548783)Peak memory usage: 14 MB
% 28.84/4.47 % (548783)Instructions burned: 1584 (million)
% 28.84/4.47 % (548789)Instruction limit reached!
% 28.84/4.47 % (548789)------------------------------
% 28.84/4.47 % (548789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.47 % (548789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.47 % (548789)CaDiCaL version: 2.1.3
% 28.84/4.47 % (548789)Termination reason: Instruction limit
% 28.84/4.47 % (548789)Termination phase: Saturation
% 28.84/4.47 % (548789)Time elapsed: 0.516 s
% 28.84/4.47 % (548789)Peak memory usage: 12 MB
% 28.84/4.47 % (548789)Instructions burned: 1298 (million)
% 28.84/4.47 % (548813)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 28.84/4.47 % (548814)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=3615551415:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2960 on theBenchmark for (2960ds/13534Mi)
% 28.84/4.47 % (548813)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=1629480654:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2960 on theBenchmark for (2960ds/416Mi)
% 28.84/4.47 % (548814)Refutation not found, incomplete strategy
% 28.84/4.47 % (548814)------------------------------
% 28.84/4.47 % (548814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.47 % (548814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.47 % (548814)CaDiCaL version: 2.1.3
% 28.84/4.47 % (548814)Termination reason: Refutation not found, incomplete strategy
% 28.84/4.47 % (548814)Time elapsed: 0.0000 s
% 28.84/4.47 % (548814)Peak memory usage: 11 MB
% 28.84/4.47 % (548814)------------------------------
% 28.84/4.47 % (548814)------------------------------
% 28.84/4.47 % (548817)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 28.84/4.47 % (548700)Instruction limit reached!
% 28.84/4.47 % (548700)------------------------------
% 28.84/4.47 % (548700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.47 % (548700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.47 % (548700)CaDiCaL version: 2.1.3
% 28.84/4.47 % (548700)Termination reason: Instruction limit
% 28.84/4.47 % (548700)Termination phase: Saturation
% 28.84/4.47 % (548700)Time elapsed: 1.730 s
% 28.84/4.47 % (548700)Peak memory usage: 16 MB
% 28.84/4.47 % (548700)Instructions burned: 4387 (million)
% 28.84/4.47 % (548817)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=2765167134:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2959 on theBenchmark for (2959ds/206Mi)
% 28.84/4.47 % (548819)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=2081850870:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2959 on theBenchmark for (2959ds/2295Mi)
% 28.84/4.47 % (548817)Instruction limit reached!
% 28.84/4.47 % (548817)------------------------------
% 28.84/4.47 % (548817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.47 % (548817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.47 % (548817)CaDiCaL version: 2.1.3
% 28.84/4.47 % (548817)Termination reason: Instruction limit
% 28.84/4.47 % (548817)Termination phase: Saturation
% 28.84/4.47 % (548817)Time elapsed: 0.043 s
% 28.84/4.47 % (548817)Peak memory usage: 12 MB
% 28.84/4.47 % (548817)Instructions burned: 211 (million)
% 28.84/4.47 % (548821)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=1913121896:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2959 on theBenchmark for (2959ds/637Mi)
% 28.84/4.47 % (548809)Instruction limit reached!
% 28.84/4.47 % (548809)------------------------------
% 28.84/4.47 % (548809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.47 % (548809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.47 % (548809)CaDiCaL version: 2.1.3
% 28.84/4.47 % (548809)Termination reason: Instruction limit
% 28.84/4.47 % (548809)Termination phase: Saturation
% 28.84/4.47 % (548809)Time elapsed: 0.187 s
% 28.84/4.47 % (548809)Peak memory usage: 13 MB
% 28.84/4.47 % (548809)Instructions burned: 508 (million)
% 28.84/4.47 % (548825)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=307152393:hsq=on:i=667:rtra=on:ixr=off_2958 on theBenchmark for (2958ds/667Mi)
% 28.84/4.47 % (548813)Instruction limit reached!
% 28.84/4.47 % (548813)------------------------------
% 28.84/4.47 % (548813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.47 % (548813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.47 % (548813)CaDiCaL version: 2.1.3
% 28.84/4.47 % (548813)Termination reason: Instruction limit
% 28.84/4.47 % (548813)Termination phase: Saturation
% 28.84/4.47 % (548813)Time elapsed: 0.183 s
% 28.84/4.47 % (548813)Peak memory usage: 14 MB
% 28.84/4.47 % (548813)Instructions burned: 417 (million)
% 28.84/4.47 % (548827)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=1585998355:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2958 on theBenchmark for (2958ds/1801Mi)
% 28.84/4.47 % (548821)Instruction limit reached!
% 28.84/4.47 % (548821)------------------------------
% 28.84/4.47 % (548821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.47 % (548821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.47 % (548821)CaDiCaL version: 2.1.3
% 28.84/4.47 % (548821)Termination reason: Instruction limit
% 28.84/4.47 % (548821)Termination phase: Saturation
% 28.84/4.47 % (548821)Time elapsed: 0.147 s
% 28.84/4.47 % (548821)Peak memory usage: 13 MB
% 28.84/4.47 % (548821)Instructions burned: 640 (million)
% 28.84/4.47 % (548829)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=2782562745:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2957 on theBenchmark for (2957ds/555Mi)
% 28.84/4.47 % (548655) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-548224-548655"...
% 28.84/4.47 % (548811)Instruction limit reached!
% 28.84/4.47 % (548811)------------------------------
% 28.84/4.47 % (548811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.47 % (548811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.47 % (548811)CaDiCaL version: 2.1.3
% 28.84/4.47 % (548811)Termination reason: Instruction limit
% 28.84/4.47 % (548811)Termination phase: Saturation
% 28.84/4.47 % (548811)Time elapsed: 0.352 s
% 28.84/4.47 % (548811)Peak memory usage: 12 MB
% 28.84/4.47 % (548811)Instructions burned: 890 (million)
% 28.84/4.47 % (548831)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3948304910:i=88:s2at=3:nm=2:rtra=on:rawr=on_2956 on theBenchmark for (2956ds/88Mi)
% 28.84/4.47 % (548655)...printing done.
% 28.84/4.47 % (548655)Refutation found. Thanks to Tanya!
% 28.84/4.47 % SZS status Unsatisfiable for theBenchmark
% 28.84/4.47 % SZS output start Proof for theBenchmark
% See solution above
% 28.84/4.48 % (548655)------------------------------
% 28.84/4.48 % (548655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.84/4.48 % (548655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.84/4.48 % (548655)CaDiCaL version: 2.1.3
% 28.84/4.48 % (548655)Termination reason: Refutation
% 28.84/4.48 % (548655)Time elapsed: 2.435 s
% 28.84/4.48 % (548655)Peak memory usage: 24 MB
% 28.84/4.48 % (548655)Instructions burned: 5644 (million)
% 28.84/4.48 % (548224)Success in time 4.337 s
% 28.84/4.48 % Vampire exiting
%------------------------------------------------------------------------------