%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM858_1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 : Tue Sep 29 12:17:18 PM UTC 2026
% Result : Theorem 5.08s 1.60s
% Output : Refutation 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 22
% Syntax : Number of formulae : 227 ( 13 unt; 0 typ; 11 def)
% Number of atoms : 708 ( 38 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 805 ( 324 ~; 398 |; 47 &)
% ( 29 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 363 ( 135 atm; 0 fun; 0 num; 228 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 16 usr; 12 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 228 ( 0 sgn 216 !; 12 ?; 228 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
summation: $int > $int ).
tff(func_def_1,type,
max: ( $int * $int ) > $int ).
tff(func_def_6,type,
sK0: $int ).
tff(func_def_7,type,
sK1: $int ).
tff(func_def_8,type,
sK2: $int ).
tff(func_def_9,type,
sK3: ( $int * $int * $int ) > $int ).
tff(func_def_10,type,
sK4: ( $int * $int * $int ) > $int ).
tff(pred_def_1,type,
ub: ( $int * $int * $int ) > $o ).
tff(pred_def_2,type,
model_max: ( $int * $int * $int ) > $o ).
tff(pred_def_3,type,
model_ub: ( $int * $int * $int ) > $o ).
tff(pred_def_4,type,
minsol_model_max: ( $int * $int * $int ) > $o ).
tff(pred_def_5,type,
minsol_model_ub: ( $int * $int * $int ) > $o ).
tff(f2,axiom,
! [X1: $int,X0: $int] :
( ( max(X0,X1) = X0 )
| ~ $lesseq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1) ).
tff(f3,axiom,
! [X0: $int,X1: $int] :
( ~ $lesseq(X0,X1)
| ( max(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2) ).
tff(f4,axiom,
! [X1: $int,X2: $int,X0: $int] :
( ub(X0,X1,X2)
<=> ( $lesseq(X1,X2)
& $lesseq(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub) ).
tff(f5,axiom,
! [X0: $int,X2: $int,X1: $int] :
( model_max(X0,X1,X2)
<=> ( X2 = max(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_1) ).
tff(f6,axiom,
! [X1: $int,X2: $int,X0: $int] :
( model_ub(X0,X1,X2)
<=> ub(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1) ).
tff(f7,axiom,
! [X1: $int,X2: $int,X0: $int] :
( ( model_max(X0,X1,X2)
& ! [X3: $int] :
( model_max(X0,X1,X3)
=> $lesseq(X2,X3) ) )
<=> minsol_model_max(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max) ).
tff(f8,axiom,
! [X0: $int,X2: $int,X1: $int] :
( minsol_model_ub(X0,X1,X2)
<=> ( ! [X3: $int] :
( model_ub(X0,X1,X3)
=> $lesseq(X2,X3) )
& model_ub(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub) ).
tff(f9,conjecture,
! [X2: $int,X1: $int,X0: $int] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1) ).
tff(f10,negated_conjecture,
~ ! [X2: $int,X1: $int,X0: $int] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
tff(f11,plain,
! [X1: $int,X0: $int] :
( ( max(X0,X1) = X0 )
| $less(X0,X1) ),
inference(theory_normalization,[],[f2]) ).
tff(f12,plain,
! [X1: $int,X2: $int,X0: $int] :
( ( model_max(X0,X1,X2)
& ! [X3: $int] :
( model_max(X0,X1,X3)
=> ~ $less(X3,X2) ) )
<=> minsol_model_max(X0,X1,X2) ),
inference(theory_normalization,[],[f7]) ).
tff(f13,plain,
! [X1: $int,X2: $int,X0: $int] :
( ub(X0,X1,X2)
<=> ( ~ $less(X2,X1)
& ~ $less(X2,X0) ) ),
inference(theory_normalization,[],[f4]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| ( max(X0,X1) = X1 ) ),
inference(theory_normalization,[],[f3]) ).
tff(f16,plain,
! [X0: $int,X2: $int,X1: $int] :
( minsol_model_ub(X0,X1,X2)
<=> ( ! [X3: $int] :
( model_ub(X0,X1,X3)
=> ~ $less(X3,X2) )
& model_ub(X0,X1,X2) ) ),
inference(theory_normalization,[],[f8]) ).
tff(f22,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f23,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(definition,[],[tha_transitivity]) ).
tff(f24,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| ( X0 = X1 )
| $less(X1,X0) ),
introduced(definition,[],[tha_order_totality]) ).
tff(f29,plain,
! [X1: $int,X0: $int] :
( ( max(X1,X0) = X1 )
| $less(X1,X0) ),
inference(rectify,[],[f11]) ).
tff(f30,plain,
! [X1: $int,X0: $int,X2: $int] :
( ub(X2,X0,X1)
<=> model_ub(X2,X0,X1) ),
inference(rectify,[],[f6]) ).
tff(f31,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( ! [X3: $int] :
( model_max(X2,X0,X3)
=> ~ $less(X3,X1) )
& model_max(X2,X0,X1) )
<=> minsol_model_max(X2,X0,X1) ),
inference(rectify,[],[f12]) ).
tff(f32,plain,
! [X2: $int,X0: $int,X1: $int] :
( ub(X2,X0,X1)
<=> ( ~ $less(X1,X2)
& ~ $less(X1,X0) ) ),
inference(rectify,[],[f13]) ).
tff(f34,plain,
! [X2: $int,X1: $int,X0: $int] :
( minsol_model_ub(X0,X2,X1)
<=> ( ! [X3: $int] :
( model_ub(X0,X2,X3)
=> ~ $less(X3,X1) )
& model_ub(X0,X2,X1) ) ),
inference(rectify,[],[f16]) ).
tff(f35,plain,
~ ! [X1: $int,X0: $int,X2: $int] :
( minsol_model_max(X2,X1,X0)
<=> minsol_model_ub(X2,X1,X0) ),
inference(rectify,[],[f10]) ).
tff(f36,plain,
! [X1: $int,X2: $int,X0: $int] :
( ( max(X0,X2) = X1 )
<=> model_max(X0,X2,X1) ),
inference(rectify,[],[f5]) ).
tff(f37,plain,
! [X1: $int,X2: $int,X0: $int] :
( minsol_model_max(X2,X0,X1)
<=> ( ! [X3: $int] :
( ~ model_max(X2,X0,X3)
| ~ $less(X3,X1) )
& model_max(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f31]) ).
tff(f38,plain,
! [X0: $int,X1: $int,X2: $int] :
( minsol_model_ub(X0,X2,X1)
<=> ( ! [X3: $int] :
( ~ model_ub(X0,X2,X3)
| ~ $less(X3,X1) )
& model_ub(X0,X2,X1) ) ),
inference(ennf_transformation,[],[f34]) ).
tff(f39,plain,
? [X0: $int,X1: $int,X2: $int] :
( minsol_model_ub(X2,X1,X0)
<~> minsol_model_max(X2,X1,X0) ),
inference(ennf_transformation,[],[f35]) ).
tff(f40,plain,
? [X0: $int,X1: $int,X2: $int] :
( ( ~ minsol_model_max(X2,X1,X0)
| ~ minsol_model_ub(X2,X1,X0) )
& ( minsol_model_max(X2,X1,X0)
| minsol_model_ub(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f39]) ).
tff(f41,plain,
( ( ~ minsol_model_max(sK2,sK1,sK0)
| ~ minsol_model_ub(sK2,sK1,sK0) )
& ( minsol_model_max(sK2,sK1,sK0)
| minsol_model_ub(sK2,sK1,sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f40]) ).
tff(f42,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_ub(X0,X2,X1)
| ? [X3: $int] :
( model_ub(X0,X2,X3)
& $less(X3,X1) )
| ~ model_ub(X0,X2,X1) )
& ( ( ! [X3: $int] :
( ~ model_ub(X0,X2,X3)
| ~ $less(X3,X1) )
& model_ub(X0,X2,X1) )
| ~ minsol_model_ub(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f38]) ).
tff(f43,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_ub(X0,X2,X1)
| ? [X3: $int] :
( model_ub(X0,X2,X3)
& $less(X3,X1) )
| ~ model_ub(X0,X2,X1) )
& ( ( ! [X3: $int] :
( ~ model_ub(X0,X2,X3)
| ~ $less(X3,X1) )
& model_ub(X0,X2,X1) )
| ~ minsol_model_ub(X0,X2,X1) ) ),
inference(flattening,[],[f42]) ).
tff(f44,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_ub(X0,X2,X1)
| ? [X3: $int] :
( model_ub(X0,X2,X3)
& $less(X3,X1) )
| ~ model_ub(X0,X2,X1) )
& ( ( ! [X4: $int] :
( ~ model_ub(X0,X2,X4)
| ~ $less(X4,X1) )
& model_ub(X0,X2,X1) )
| ~ minsol_model_ub(X0,X2,X1) ) ),
inference(rectify,[],[f43]) ).
tff(f45,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_ub(X0,X2,X1)
| ( model_ub(X0,X2,sK3(X0,X1,X2))
& $less(sK3(X0,X1,X2),X1) )
| ~ model_ub(X0,X2,X1) )
& ( ( ! [X4: $int] :
( ~ model_ub(X0,X2,X4)
| ~ $less(X4,X1) )
& model_ub(X0,X2,X1) )
| ~ minsol_model_ub(X0,X2,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f44]) ).
tff(f48,plain,
! [X1: $int,X2: $int,X0: $int] :
( ( ( max(X0,X2) = X1 )
| ~ model_max(X0,X2,X1) )
& ( model_max(X0,X2,X1)
| ( max(X0,X2) != X1 ) ) ),
inference(nnf_transformation,[],[f36]) ).
tff(f49,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ( max(X2,X1) = X0 )
| ~ model_max(X2,X1,X0) )
& ( model_max(X2,X1,X0)
| ( max(X2,X1) != X0 ) ) ),
inference(rectify,[],[f48]) ).
tff(f50,plain,
! [X1: $int,X2: $int,X0: $int] :
( ( minsol_model_max(X2,X0,X1)
| ? [X3: $int] :
( model_max(X2,X0,X3)
& $less(X3,X1) )
| ~ model_max(X2,X0,X1) )
& ( ( ! [X3: $int] :
( ~ model_max(X2,X0,X3)
| ~ $less(X3,X1) )
& model_max(X2,X0,X1) )
| ~ minsol_model_max(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
tff(f51,plain,
! [X1: $int,X2: $int,X0: $int] :
( ( minsol_model_max(X2,X0,X1)
| ? [X3: $int] :
( model_max(X2,X0,X3)
& $less(X3,X1) )
| ~ model_max(X2,X0,X1) )
& ( ( ! [X3: $int] :
( ~ model_max(X2,X0,X3)
| ~ $less(X3,X1) )
& model_max(X2,X0,X1) )
| ~ minsol_model_max(X2,X0,X1) ) ),
inference(flattening,[],[f50]) ).
tff(f52,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_max(X1,X2,X0)
| ? [X3: $int] :
( model_max(X1,X2,X3)
& $less(X3,X0) )
| ~ model_max(X1,X2,X0) )
& ( ( ! [X4: $int] :
( ~ model_max(X1,X2,X4)
| ~ $less(X4,X0) )
& model_max(X1,X2,X0) )
| ~ minsol_model_max(X1,X2,X0) ) ),
inference(rectify,[],[f51]) ).
tff(f53,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( minsol_model_max(X1,X2,X0)
| ( model_max(X1,X2,sK4(X0,X1,X2))
& $less(sK4(X0,X1,X2),X0) )
| ~ model_max(X1,X2,X0) )
& ( ( ! [X4: $int] :
( ~ model_max(X1,X2,X4)
| ~ $less(X4,X0) )
& model_max(X1,X2,X0) )
| ~ minsol_model_max(X1,X2,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f52]) ).
tff(f54,plain,
! [X1: $int,X0: $int,X2: $int] :
( ( ub(X2,X0,X1)
| ~ model_ub(X2,X0,X1) )
& ( model_ub(X2,X0,X1)
| ~ ub(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
tff(f55,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ub(X2,X1,X0)
| ~ model_ub(X2,X1,X0) )
& ( model_ub(X2,X1,X0)
| ~ ub(X2,X1,X0) ) ),
inference(rectify,[],[f54]) ).
tff(f56,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( ub(X2,X0,X1)
| $less(X1,X2)
| $less(X1,X0) )
& ( ( ~ $less(X1,X2)
& ~ $less(X1,X0) )
| ~ ub(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
tff(f57,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( ub(X2,X0,X1)
| $less(X1,X2)
| $less(X1,X0) )
& ( ( ~ $less(X1,X2)
& ~ $less(X1,X0) )
| ~ ub(X2,X0,X1) ) ),
inference(flattening,[],[f56]) ).
tff(f58,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ub(X0,X1,X2)
| $less(X2,X0)
| $less(X2,X1) )
& ( ( ~ $less(X2,X0)
& ~ $less(X2,X1) )
| ~ ub(X0,X1,X2) ) ),
inference(rectify,[],[f57]) ).
tff(f59,plain,
! [X0: $int,X1: $int] :
( ( max(X0,X1) = X0 )
| $less(X0,X1) ),
inference(rectify,[],[f29]) ).
tff(f60,plain,
( minsol_model_max(sK2,sK1,sK0)
| minsol_model_ub(sK2,sK1,sK0) ),
inference(cnf_transformation,[],[f41]) ).
tff(f61,plain,
( ~ minsol_model_ub(sK2,sK1,sK0)
| ~ minsol_model_max(sK2,sK1,sK0) ),
inference(cnf_transformation,[],[f41]) ).
tff(f62,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ minsol_model_ub(X0,X2,X1)
| model_ub(X0,X2,X1) ),
inference(cnf_transformation,[],[f45]) ).
tff(f63,plain,
! [X2: $int,X0: $int,X1: $int,X4: $int] :
( ~ minsol_model_ub(X0,X2,X1)
| ~ $less(X4,X1)
| ~ model_ub(X0,X2,X4) ),
inference(cnf_transformation,[],[f45]) ).
tff(f64,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ model_ub(X0,X2,X1)
| $less(sK3(X0,X1,X2),X1)
| minsol_model_ub(X0,X2,X1) ),
inference(cnf_transformation,[],[f45]) ).
tff(f65,plain,
! [X2: $int,X0: $int,X1: $int] :
( model_ub(X0,X2,sK3(X0,X1,X2))
| ~ model_ub(X0,X2,X1)
| minsol_model_ub(X0,X2,X1) ),
inference(cnf_transformation,[],[f45]) ).
tff(f66,plain,
! [X0: $int,X1: $int] :
( ( max(X0,X1) = X1 )
| $less(X1,X0) ),
inference(cnf_transformation,[],[f15]) ).
tff(f69,plain,
! [X2: $int,X0: $int,X1: $int] :
( model_max(X2,X1,X0)
| ( max(X2,X1) != X0 ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f70,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ model_max(X2,X1,X0)
| ( max(X2,X1) = X0 ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f71,plain,
! [X2: $int,X0: $int,X1: $int] :
( model_max(X1,X2,X0)
| ~ minsol_model_max(X1,X2,X0) ),
inference(cnf_transformation,[],[f53]) ).
tff(f73,plain,
! [X2: $int,X0: $int,X1: $int] :
( minsol_model_max(X1,X2,X0)
| $less(sK4(X0,X1,X2),X0)
| ~ model_max(X1,X2,X0) ),
inference(cnf_transformation,[],[f53]) ).
tff(f74,plain,
! [X2: $int,X0: $int,X1: $int] :
( minsol_model_max(X1,X2,X0)
| model_max(X1,X2,sK4(X0,X1,X2))
| ~ model_max(X1,X2,X0) ),
inference(cnf_transformation,[],[f53]) ).
tff(f75,plain,
! [X2: $int,X0: $int,X1: $int] :
( model_ub(X2,X1,X0)
| ~ ub(X2,X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
tff(f76,plain,
! [X2: $int,X0: $int,X1: $int] :
( ub(X2,X1,X0)
| ~ model_ub(X2,X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
tff(f77,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,X1)
| ~ ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f58]) ).
tff(f78,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X2,X0)
| ~ ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f58]) ).
tff(f79,plain,
! [X2: $int,X0: $int,X1: $int] :
( ub(X0,X1,X2)
| $less(X2,X1)
| $less(X2,X0) ),
inference(cnf_transformation,[],[f58]) ).
tff(f80,plain,
! [X0: $int,X1: $int] :
( ( max(X0,X1) = X0 )
| $less(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
tff(f81,plain,
! [X2: $int,X1: $int] : model_max(X2,X1,max(X2,X1)),
inference(equality_resolution,[],[f69]) ).
tff(f83,definition,
( spl5_1
<=> minsol_model_ub(sK2,sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
tff(f84,plain,
( ~ minsol_model_ub(sK2,sK1,sK0)
| spl5_1 ),
inference(avatar_component_clause,[],[f83]) ).
tff(f85,plain,
( minsol_model_ub(sK2,sK1,sK0)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f83]) ).
tff(f87,definition,
( spl5_2
<=> minsol_model_max(sK2,sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
tff(f88,plain,
( ~ minsol_model_max(sK2,sK1,sK0)
| spl5_2 ),
inference(avatar_component_clause,[],[f87]) ).
tff(f89,plain,
( minsol_model_max(sK2,sK1,sK0)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f87]) ).
tff(f90,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f60,f87,f83]) ).
tff(f91,plain,
( ~ minsol_model_ub(sK2,sK1,sK0)
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f61,f89]) ).
tff(f92,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f91,f87,f83]) ).
tff(f93,plain,
! [X0: $int,X1: $int] :
( model_max(X1,X0,X0)
| $less(X0,X1) ),
inference(superposition,[],[f81,f66]) ).
tff(f96,plain,
! [X0: $int,X1: $int] :
( model_max(X0,X1,X0)
| $less(X0,X1) ),
inference(superposition,[],[f81,f80]) ).
tff(f98,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ minsol_model_max(X0,X1,X2)
| ( max(X0,X1) = X2 ) ),
inference(resolution,[],[f70,f71]) ).
tff(f104,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ ub(X1,X2,X0)
| ( X0 = X1 )
| $less(X1,X0) ),
inference(resolution,[],[f24,f78]) ).
tff(f105,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ ub(X2,X1,X0)
| ( X0 = X1 )
| $less(X1,X0) ),
inference(resolution,[],[f24,f77]) ).
tff(f109,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ ub(X0,X2,X1)
| $less(sK3(X0,X1,X2),X1)
| minsol_model_ub(X0,X2,X1) ),
inference(resolution,[],[f64,f75]) ).
tff(f111,plain,
( ( max(sK2,sK1) = sK0 )
| ~ spl5_2 ),
inference(resolution,[],[f98,f89]) ).
tff(f114,plain,
( $less(sK2,sK1)
| ( sK2 = sK0 )
| ~ spl5_2 ),
inference(superposition,[],[f111,f80]) ).
tff(f115,plain,
( ( sK1 = sK0 )
| $less(sK1,sK2)
| ~ spl5_2 ),
inference(superposition,[],[f111,f66]) ).
tff(f120,plain,
! [X2: $int,X0: $int,X1: $int] :
( minsol_model_ub(X0,X2,X1)
| $less(X1,X2)
| $less(X1,X0)
| $less(sK3(X0,X1,X2),X1) ),
inference(resolution,[],[f109,f79]) ).
tff(f123,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ model_ub(X1,X2,X0)
| ( X0 = X1 )
| $less(X1,X0) ),
inference(resolution,[],[f104,f76]) ).
tff(f127,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ model_ub(X2,X1,X0)
| $less(X1,X0)
| ( X0 = X1 ) ),
inference(resolution,[],[f105,f76]) ).
tff(f129,definition,
( spl5_3
<=> $less(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
tff(f130,plain,
( ~ $less(sK2,sK1)
| spl5_3 ),
inference(avatar_component_clause,[],[f129]) ).
tff(f131,plain,
( $less(sK2,sK1)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f129]) ).
tff(f133,definition,
( spl5_4
<=> ( sK2 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
tff(f135,plain,
( ( sK2 = sK0 )
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f133]) ).
tff(f136,plain,
( spl5_3
| spl5_4
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f114,f87,f133,f129]) ).
tff(f161,definition,
( spl5_5
<=> $less(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
tff(f163,plain,
( $less(sK1,sK2)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f161]) ).
tff(f165,definition,
( spl5_6
<=> ( sK1 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
tff(f167,plain,
( ( sK1 = sK0 )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f165]) ).
tff(f168,plain,
( spl5_5
| spl5_6
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f115,f87,f165,f161]) ).
tff(f169,plain,
( ! [X0: $int] :
( ~ $less(X0,sK0)
| ~ model_ub(sK2,sK1,X0) )
| ~ spl5_1 ),
inference(resolution,[],[f85,f63]) ).
tff(f170,plain,
( model_ub(sK2,sK1,sK0)
| ~ spl5_1 ),
inference(resolution,[],[f85,f62]) ).
tff(f171,plain,
( ~ model_max(sK2,sK1,sK0)
| model_max(sK2,sK1,sK4(sK0,sK2,sK1))
| spl5_2 ),
inference(resolution,[],[f88,f74]) ).
tff(f172,plain,
( ~ model_max(sK2,sK1,sK0)
| $less(sK4(sK0,sK2,sK1),sK0)
| spl5_2 ),
inference(resolution,[],[f88,f73]) ).
tff(f177,definition,
( spl5_7
<=> $less(sK4(sK0,sK2,sK1),sK0) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
tff(f179,plain,
( $less(sK4(sK0,sK2,sK1),sK0)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f177]) ).
tff(f181,definition,
( spl5_8
<=> model_max(sK2,sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition]) ).
tff(f182,plain,
( model_max(sK2,sK1,sK0)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f181]) ).
tff(f183,plain,
( ~ model_max(sK2,sK1,sK0)
| spl5_8 ),
inference(avatar_component_clause,[],[f181]) ).
tff(f184,plain,
( spl5_7
| ~ spl5_8
| spl5_2 ),
inference(avatar_split_clause,[],[f172,f87,f181,f177]) ).
tff(f228,plain,
( $less(sK2,sK0)
| ( sK2 = sK0 )
| ~ spl5_1 ),
inference(resolution,[],[f123,f170]) ).
tff(f232,definition,
( spl5_9
<=> $less(sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl5_9])],[avatar_definition]) ).
tff(f233,plain,
( ~ $less(sK2,sK0)
| spl5_9 ),
inference(avatar_component_clause,[],[f232]) ).
tff(f234,plain,
( $less(sK2,sK0)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f232]) ).
tff(f235,plain,
( spl5_4
| spl5_9
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f228,f83,f232,f133]) ).
tff(f236,plain,
( ~ model_max(sK2,sK1,sK2)
| ~ spl5_4
| spl5_8 ),
inference(superposition,[],[f183,f135]) ).
tff(f249,plain,
( $less(sK1,sK0)
| ( sK1 = sK0 )
| ~ spl5_1 ),
inference(resolution,[],[f127,f170]) ).
tff(f267,plain,
( $less(sK2,sK1)
| ~ spl5_4
| spl5_8 ),
inference(resolution,[],[f236,f96]) ).
tff(f269,plain,
( $false
| spl5_3
| ~ spl5_4
| spl5_8 ),
inference(forward_subsumption_resolution,[],[f267,f130]) ).
tff(f270,plain,
( spl5_3
| ~ spl5_4
| spl5_8 ),
inference(avatar_contradiction_clause,[],[f269]) ).
tff(f271,plain,
( model_max(sK2,sK1,sK2)
| ~ spl5_4
| ~ spl5_8 ),
inference(forward_demodulation,[],[f182,f135]) ).
tff(f272,plain,
( $less(sK4(sK2,sK2,sK1),sK2)
| ~ spl5_4
| ~ spl5_7 ),
inference(forward_demodulation,[],[f179,f135]) ).
tff(f273,plain,
( ~ model_max(sK2,sK1,sK0)
| model_max(sK2,sK1,sK4(sK2,sK2,sK1))
| spl5_2
| ~ spl5_4 ),
inference(forward_demodulation,[],[f171,f135]) ).
tff(f274,plain,
( model_max(sK2,sK1,sK4(sK2,sK2,sK1))
| ~ model_max(sK2,sK1,sK2)
| spl5_2
| ~ spl5_4 ),
inference(forward_demodulation,[],[f273,f135]) ).
tff(f275,plain,
( ( max(sK2,sK1) = sK2 )
| ~ spl5_4
| ~ spl5_8 ),
inference(resolution,[],[f271,f70]) ).
tff(f282,plain,
( model_max(sK2,sK1,sK4(sK2,sK2,sK1))
| spl5_2
| ~ spl5_4
| ~ spl5_8 ),
inference(forward_subsumption_resolution,[],[f274,f271]) ).
tff(f283,plain,
( ( max(sK2,sK1) = sK4(sK2,sK2,sK1) )
| spl5_2
| ~ spl5_4
| ~ spl5_8 ),
inference(resolution,[],[f282,f70]) ).
tff(f305,plain,
( ( sK2 = sK4(sK2,sK2,sK1) )
| spl5_2
| ~ spl5_4
| ~ spl5_8 ),
inference(forward_demodulation,[],[f283,f275]) ).
tff(f312,plain,
( $less(sK2,sK2)
| spl5_2
| ~ spl5_4
| ~ spl5_7
| ~ spl5_8 ),
inference(superposition,[],[f272,f305]) ).
tff(f315,plain,
( $false
| spl5_2
| ~ spl5_4
| ~ spl5_7
| ~ spl5_8 ),
inference(forward_subsumption_resolution,[],[f312,f22]) ).
tff(f316,plain,
( spl5_2
| ~ spl5_4
| ~ spl5_7
| ~ spl5_8 ),
inference(avatar_contradiction_clause,[],[f315]) ).
tff(f325,definition,
( spl5_10
<=> model_max(sK2,sK1,sK4(sK0,sK2,sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_10])],[avatar_definition]) ).
tff(f327,plain,
( model_max(sK2,sK1,sK4(sK0,sK2,sK1))
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f325]) ).
tff(f328,plain,
( spl5_10
| ~ spl5_8
| spl5_2 ),
inference(avatar_split_clause,[],[f171,f87,f181,f325]) ).
tff(f332,plain,
( ~ model_ub(sK2,sK1,sK2)
| ~ spl5_1
| ~ spl5_9 ),
inference(resolution,[],[f234,f169]) ).
tff(f335,plain,
( ! [X0: $int] :
( ~ $less(X0,sK2)
| $less(X0,sK0) )
| ~ spl5_9 ),
inference(resolution,[],[f234,f23]) ).
tff(f355,plain,
( ~ ub(sK2,sK1,sK2)
| ~ spl5_1
| ~ spl5_9 ),
inference(resolution,[],[f332,f75]) ).
tff(f414,plain,
( $less(sK2,sK2)
| $less(sK2,sK1)
| ~ spl5_1
| ~ spl5_9 ),
inference(resolution,[],[f355,f79]) ).
tff(f416,plain,
( $less(sK2,sK1)
| ~ spl5_1
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f414,f22]) ).
tff(f417,plain,
( $false
| ~ spl5_1
| spl5_3
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f416,f130]) ).
tff(f418,plain,
( ~ spl5_1
| spl5_3
| ~ spl5_9 ),
inference(avatar_contradiction_clause,[],[f417]) ).
tff(f422,plain,
( ! [X0: $int] :
( $less(X0,sK1)
| ~ $less(X0,sK2) )
| ~ spl5_3 ),
inference(resolution,[],[f131,f23]) ).
tff(f561,definition,
( spl5_13
<=> $less(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl5_13])],[avatar_definition]) ).
tff(f563,plain,
( $less(sK1,sK0)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f561]) ).
tff(f564,plain,
( spl5_6
| spl5_13
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f249,f83,f561,f165]) ).
tff(f568,plain,
( model_ub(sK2,sK0,sK0)
| ~ spl5_1
| ~ spl5_6 ),
inference(superposition,[],[f170,f167]) ).
tff(f570,plain,
( $less(sK4(sK0,sK2,sK0),sK0)
| ~ spl5_6
| ~ spl5_7 ),
inference(superposition,[],[f179,f167]) ).
tff(f571,plain,
( ~ model_max(sK2,sK0,sK0)
| ~ spl5_6
| spl5_8 ),
inference(superposition,[],[f183,f167]) ).
tff(f609,plain,
( $less(sK0,sK2)
| ~ spl5_6
| spl5_8 ),
inference(resolution,[],[f571,f93]) ).
tff(f632,plain,
( ! [X0: $int] : ~ ub(sK2,X0,sK0)
| ~ spl5_6
| spl5_8 ),
inference(resolution,[],[f609,f78]) ).
tff(f645,plain,
( ! [X0: $int] : ~ model_ub(sK2,X0,sK0)
| ~ spl5_6
| spl5_8 ),
inference(resolution,[],[f632,f76]) ).
tff(f653,plain,
( $false
| ~ spl5_1
| ~ spl5_6
| spl5_8 ),
inference(resolution,[],[f645,f568]) ).
tff(f657,plain,
( ~ spl5_1
| ~ spl5_6
| spl5_8 ),
inference(avatar_contradiction_clause,[],[f653]) ).
tff(f666,plain,
( ~ model_ub(sK2,sK1,sK1)
| ~ spl5_1
| ~ spl5_13 ),
inference(resolution,[],[f563,f169]) ).
tff(f685,plain,
( ~ ub(sK2,sK1,sK1)
| ~ spl5_1
| ~ spl5_13 ),
inference(resolution,[],[f666,f75]) ).
tff(f747,plain,
( $less(sK1,sK1)
| $less(sK1,sK2)
| ~ spl5_1
| ~ spl5_13 ),
inference(resolution,[],[f685,f79]) ).
tff(f749,plain,
( $less(sK1,sK2)
| ~ spl5_1
| ~ spl5_13 ),
inference(forward_subsumption_resolution,[],[f747,f22]) ).
tff(f771,plain,
( spl5_5
| ~ spl5_1
| ~ spl5_13 ),
inference(avatar_split_clause,[],[f749,f561,f83,f161]) ).
tff(f913,plain,
( ~ $less(sK1,sK2)
| ~ spl5_3 ),
inference(resolution,[],[f422,f22]) ).
tff(f920,plain,
( $false
| ~ spl5_3
| ~ spl5_5 ),
inference(forward_subsumption_resolution,[],[f913,f163]) ).
tff(f921,plain,
( ~ spl5_3
| ~ spl5_5 ),
inference(avatar_contradiction_clause,[],[f920]) ).
tff(f924,plain,
( ( max(sK2,sK1) = sK0 )
| ~ spl5_8 ),
inference(resolution,[],[f182,f70]) ).
tff(f927,plain,
( ( sK4(sK0,sK2,sK1) = max(sK2,sK1) )
| ~ spl5_10 ),
inference(resolution,[],[f327,f70]) ).
tff(f933,plain,
( ( sK4(sK0,sK2,sK1) = sK0 )
| ~ spl5_8
| ~ spl5_10 ),
inference(forward_demodulation,[],[f927,f924]) ).
tff(f941,plain,
( $less(sK2,sK0)
| ~ spl5_3
| ~ spl5_6 ),
inference(superposition,[],[f131,f167]) ).
tff(f994,plain,
( ( sK4(sK0,sK2,sK0) = sK0 )
| ~ spl5_6
| ~ spl5_8
| ~ spl5_10 ),
inference(forward_demodulation,[],[f933,f167]) ).
tff(f1046,plain,
( $less(sK0,sK0)
| ~ spl5_6
| ~ spl5_7
| ~ spl5_8
| ~ spl5_10 ),
inference(forward_demodulation,[],[f570,f994]) ).
tff(f1047,plain,
( $false
| ~ spl5_6
| ~ spl5_7
| ~ spl5_8
| ~ spl5_10 ),
inference(forward_subsumption_resolution,[],[f1046,f22]) ).
tff(f1048,plain,
( ~ spl5_6
| ~ spl5_7
| ~ spl5_8
| ~ spl5_10 ),
inference(avatar_contradiction_clause,[],[f1047]) ).
tff(f1049,plain,
( ~ minsol_model_ub(sK2,sK0,sK0)
| spl5_1
| ~ spl5_6 ),
inference(forward_demodulation,[],[f84,f167]) ).
tff(f1056,plain,
( $less(sK0,sK0)
| $less(sK0,sK2)
| $less(sK3(sK2,sK0,sK0),sK0)
| spl5_1
| ~ spl5_6 ),
inference(resolution,[],[f1049,f120]) ).
tff(f1057,plain,
( $less(sK3(sK2,sK0,sK0),sK0)
| $less(sK0,sK0)
| spl5_1
| ~ spl5_6
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f1056,f335]) ).
tff(f1059,plain,
( $less(sK3(sK2,sK0,sK0),sK0)
| spl5_1
| ~ spl5_6
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f1057,f22]) ).
tff(f1090,plain,
( ! [X0: $int] : ~ ub(X0,sK0,sK3(sK2,sK0,sK0))
| spl5_1
| ~ spl5_6
| ~ spl5_9 ),
inference(resolution,[],[f1059,f77]) ).
tff(f1167,plain,
( ! [X0: $int] : ~ model_ub(X0,sK0,sK3(sK2,sK0,sK0))
| spl5_1
| ~ spl5_6
| ~ spl5_9 ),
inference(resolution,[],[f1090,f76]) ).
tff(f1280,plain,
( minsol_model_ub(sK2,sK0,sK0)
| ~ model_ub(sK2,sK0,sK0)
| spl5_1
| ~ spl5_6
| ~ spl5_9 ),
inference(resolution,[],[f1167,f65]) ).
tff(f1283,plain,
( ~ model_ub(sK2,sK0,sK0)
| spl5_1
| ~ spl5_6
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f1280,f1049]) ).
tff(f1285,plain,
( ~ ub(sK2,sK0,sK0)
| spl5_1
| ~ spl5_6
| ~ spl5_9 ),
inference(resolution,[],[f1283,f75]) ).
tff(f1339,plain,
( $less(sK0,sK2)
| $less(sK0,sK0)
| spl5_1
| ~ spl5_6
| ~ spl5_9 ),
inference(resolution,[],[f1285,f79]) ).
tff(f1341,plain,
( $less(sK0,sK0)
| spl5_1
| ~ spl5_6
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f1339,f335]) ).
tff(f1342,plain,
( $false
| spl5_1
| ~ spl5_6
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f1341,f22]) ).
tff(f1343,plain,
( spl5_1
| ~ spl5_6
| ~ spl5_9 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
tff(f1390,plain,
( $less(sK3(sK2,sK0,sK1),sK0)
| $less(sK0,sK1)
| $less(sK0,sK2)
| spl5_1 ),
inference(resolution,[],[f84,f120]) ).
tff(f1402,plain,
( ~ minsol_model_ub(sK2,sK1,sK2)
| spl5_1
| ~ spl5_4 ),
inference(superposition,[],[f84,f135]) ).
tff(f1568,plain,
( $less(sK3(sK2,sK2,sK1),sK2)
| $less(sK0,sK1)
| $less(sK0,sK2)
| spl5_1
| ~ spl5_4 ),
inference(forward_demodulation,[],[f1390,f135]) ).
tff(f1569,plain,
( $less(sK0,sK2)
| $less(sK3(sK2,sK2,sK1),sK2)
| $less(sK2,sK1)
| spl5_1
| ~ spl5_4 ),
inference(forward_demodulation,[],[f1568,f135]) ).
tff(f1570,plain,
( $less(sK0,sK2)
| $less(sK3(sK2,sK2,sK1),sK2)
| spl5_1
| spl5_3
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f1569,f130]) ).
tff(f1571,plain,
( $less(sK3(sK2,sK2,sK1),sK2)
| $less(sK2,sK2)
| spl5_1
| spl5_3
| ~ spl5_4 ),
inference(forward_demodulation,[],[f1570,f135]) ).
tff(f1572,plain,
( $less(sK3(sK2,sK2,sK1),sK2)
| spl5_1
| spl5_3
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f1571,f22]) ).
tff(f1577,plain,
( ! [X0: $int] : ~ ub(sK2,X0,sK3(sK2,sK2,sK1))
| spl5_1
| spl5_3
| ~ spl5_4 ),
inference(resolution,[],[f1572,f78]) ).
tff(f1640,plain,
( ! [X0: $int] : ~ model_ub(sK2,X0,sK3(sK2,sK2,sK1))
| spl5_1
| spl5_3
| ~ spl5_4 ),
inference(resolution,[],[f1577,f76]) ).
tff(f1708,plain,
( ~ model_ub(sK2,sK1,sK2)
| minsol_model_ub(sK2,sK1,sK2)
| spl5_1
| spl5_3
| ~ spl5_4 ),
inference(resolution,[],[f1640,f65]) ).
tff(f1711,plain,
( ~ model_ub(sK2,sK1,sK2)
| spl5_1
| spl5_3
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f1708,f1402]) ).
tff(f1713,plain,
( ~ ub(sK2,sK1,sK2)
| spl5_1
| spl5_3
| ~ spl5_4 ),
inference(resolution,[],[f1711,f75]) ).
tff(f1726,plain,
( $less(sK2,sK2)
| $less(sK2,sK1)
| spl5_1
| spl5_3
| ~ spl5_4 ),
inference(resolution,[],[f1713,f79]) ).
tff(f1739,plain,
( $less(sK2,sK1)
| spl5_1
| spl5_3
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f1726,f22]) ).
tff(f1746,plain,
( $false
| spl5_1
| spl5_3
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f1739,f130]) ).
tff(f1747,plain,
( spl5_1
| spl5_3
| ~ spl5_4 ),
inference(avatar_contradiction_clause,[],[f1746]) ).
tff(f1771,plain,
( $false
| ~ spl5_3
| ~ spl5_6
| spl5_9 ),
inference(forward_subsumption_resolution,[],[f941,f233]) ).
tff(f1772,plain,
( ~ spl5_3
| ~ spl5_6
| spl5_9 ),
inference(avatar_contradiction_clause,[],[f1771]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f90]) ).
cnf(s2,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(sat_conversion,[],[f92]) ).
cnf(s3,plain,
( ~ spl5_2
| spl5_3
| spl5_4 ),
inference(sat_conversion,[],[f136]) ).
cnf(s4,plain,
( ~ spl5_2
| spl5_5
| spl5_6 ),
inference(sat_conversion,[],[f168]) ).
cnf(s5,plain,
( spl5_2
| spl5_7
| ~ spl5_8 ),
inference(sat_conversion,[],[f184]) ).
cnf(s6,plain,
( ~ spl5_1
| spl5_4
| spl5_9 ),
inference(sat_conversion,[],[f235]) ).
cnf(s8,plain,
( spl5_3
| ~ spl5_4
| spl5_8 ),
inference(sat_conversion,[],[f270]) ).
cnf(s10,plain,
( spl5_2
| ~ spl5_4
| ~ spl5_7
| ~ spl5_8 ),
inference(sat_conversion,[],[f316]) ).
cnf(s11,plain,
( spl5_2
| ~ spl5_8
| spl5_10 ),
inference(sat_conversion,[],[f328]) ).
cnf(s12,plain,
( ~ spl5_1
| spl5_3
| ~ spl5_9 ),
inference(sat_conversion,[],[f418]) ).
cnf(s14,plain,
( ~ spl5_1
| spl5_6
| spl5_13 ),
inference(sat_conversion,[],[f564]) ).
cnf(s16,plain,
( ~ spl5_1
| ~ spl5_6
| spl5_8 ),
inference(sat_conversion,[],[f657]) ).
cnf(s17,plain,
( ~ spl5_1
| spl5_5
| ~ spl5_13 ),
inference(sat_conversion,[],[f771]) ).
cnf(s18,plain,
( ~ spl5_3
| ~ spl5_5 ),
inference(sat_conversion,[],[f921]) ).
cnf(s19,plain,
( ~ spl5_6
| ~ spl5_7
| ~ spl5_8
| ~ spl5_10 ),
inference(sat_conversion,[],[f1048]) ).
cnf(s20,plain,
( spl5_1
| ~ spl5_6
| ~ spl5_9 ),
inference(sat_conversion,[],[f1343]) ).
cnf(s25,plain,
( spl5_1
| spl5_3
| ~ spl5_4 ),
inference(sat_conversion,[],[f1747]) ).
cnf(s31,plain,
( ~ spl5_3
| ~ spl5_6
| spl5_9 ),
inference(sat_conversion,[],[f1772]) ).
cnf(s33,plain,
( spl5_3
| spl5_1 ),
inference(rat,[],[s25,s3,s1]) ).
cnf(s34,plain,
spl5_1,
inference(rat,[],[s20,s31,s4,s18,s33,s1]) ).
cnf(s35,plain,
~ spl5_2,
inference(rat,[],[s2,s34]) ).
cnf(s36,plain,
( ~ spl5_4
| spl5_3 ),
inference(rat,[],[s10,s5,s8,s35]) ).
cnf(s37,plain,
spl5_3,
inference(rat,[],[s36,s6,s12,s34]) ).
cnf(s38,plain,
~ spl5_5,
inference(rat,[],[s18,s37]) ).
cnf(s40,plain,
~ spl5_13,
inference(rat,[],[s17,s34,s38]) ).
cnf(s42,plain,
spl5_6,
inference(rat,[],[s14,s34,s40]) ).
cnf(s43,plain,
spl5_8,
inference(rat,[],[s16,s34,s42]) ).
cnf(s44,plain,
spl5_10,
inference(rat,[],[s11,s35,s43]) ).
cnf(s45,plain,
spl5_7,
inference(rat,[],[s5,s35,s43]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s19,s42,s43,s44,s45]) ).
tff(f1777,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM858_1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 21:35:00 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.69/1.14 % (2415687)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.69/1.14 % (2415697)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=895519928:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.69/1.14 % (2415696)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3959397674:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.69/1.14 % (2415695)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=375272025:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.69/1.14 % (2415698)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2232336814:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.69/1.14 % (2415693)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=895734552:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.69/1.14 % (2415692)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4243770789:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.69/1.14 % (2415694)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1185028290:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.69/1.14 % (2415696)Instruction limit reached!
% 3.69/1.14 % (2415696)------------------------------
% 3.69/1.14 % (2415696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.14 % (2415696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.14 % (2415696)CaDiCaL version: 2.1.3
% 3.69/1.14 % (2415696)Termination reason: Instruction limit
% 3.69/1.14 % (2415696)Termination phase: Saturation
% 3.69/1.14 % (2415696)Time elapsed: 0.004 s
% 3.69/1.14 % (2415696)Peak memory usage: 89 MB
% 3.69/1.14 % (2415696)Instructions burned: 5 (million)
% 3.69/1.14 % (2415695)Instruction limit reached!
% 3.69/1.14 % (2415695)------------------------------
% 3.69/1.14 % (2415695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.14 % (2415695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.14 % (2415695)CaDiCaL version: 2.1.3
% 3.69/1.14 % (2415695)Termination reason: Instruction limit
% 3.69/1.14 % (2415695)Termination phase: Saturation
% 3.69/1.14 % (2415695)Time elapsed: 0.005 s
% 3.69/1.14 % (2415695)Peak memory usage: 88 MB
% 3.69/1.14 % (2415695)Instructions burned: 8 (million)
% 3.69/1.14 % (2415692)Instruction limit reached!
% 3.69/1.14 % (2415692)------------------------------
% 3.69/1.14 % (2415692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.14 % (2415692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.14 % (2415692)CaDiCaL version: 2.1.3
% 3.69/1.14 % (2415692)Termination reason: Instruction limit
% 3.69/1.14 % (2415692)Termination phase: Saturation
% 3.69/1.14 % (2415692)Time elapsed: 0.031 s
% 3.69/1.14 % (2415692)Peak memory usage: 115 MB
% 3.69/1.14 % (2415692)Instructions burned: 13 (million)
% 3.69/1.14 % (2415698)Instruction limit reached!
% 3.69/1.14 % (2415698)------------------------------
% 3.69/1.14 % (2415698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.14 % (2415698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.14 % (2415698)CaDiCaL version: 2.1.3
% 3.69/1.14 % (2415698)Termination reason: Instruction limit
% 3.69/1.14 % (2415698)Termination phase: Saturation
% 3.69/1.14 % (2415698)Time elapsed: 0.045 s
% 3.69/1.14 % (2415698)Peak memory usage: 115 MB
% 3.69/1.14 % (2415698)Instructions burned: 33 (million)
% 3.69/1.14 % (2415697)Instruction limit reached!
% 3.69/1.14 % (2415697)------------------------------
% 3.69/1.14 % (2415697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.14 % (2415697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.14 % (2415697)CaDiCaL version: 2.1.3
% 3.69/1.14 % (2415697)Termination reason: Instruction limit
% 3.69/1.14 % (2415697)Termination phase: Saturation
% 3.69/1.14 % (2415697)Time elapsed: 0.055 s
% 3.69/1.14 % (2415697)Peak memory usage: 115 MB
% 3.69/1.14 % (2415697)Instructions burned: 46 (million)
% 3.69/1.14 % (2415707)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1615669520:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.69/1.14 % (2415707)Instruction limit reached!
% 4.12/1.28 % (2415707)------------------------------
% 4.12/1.28 % (2415707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.28 % (2415707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.28 % (2415707)CaDiCaL version: 2.1.3
% 4.12/1.28 % (2415707)Termination reason: Instruction limit
% 4.12/1.28 % (2415707)Termination phase: Saturation
% 4.12/1.28 % (2415707)Time elapsed: 0.013 s
% 4.12/1.28 % (2415707)Peak memory usage: 89 MB
% 4.12/1.28 % (2415707)Instructions burned: 30 (million)
% 4.12/1.28 % (2415706)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=944395630:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.12/1.28 % (2415706)Instruction limit reached!
% 4.12/1.28 % (2415706)------------------------------
% 4.12/1.28 % (2415706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.28 % (2415706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.28 % (2415706)CaDiCaL version: 2.1.3
% 4.12/1.28 % (2415706)Termination reason: Instruction limit
% 4.12/1.28 % (2415706)Termination phase: Saturation
% 4.12/1.28 % (2415706)Time elapsed: 0.012 s
% 4.12/1.28 % (2415706)Peak memory usage: 88 MB
% 4.12/1.28 % (2415706)Instructions burned: 15 (million)
% 4.12/1.28 % (2415694)Instruction limit reached!
% 4.12/1.28 % (2415694)------------------------------
% 4.12/1.28 % (2415694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.28 % (2415694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.28 % (2415694)CaDiCaL version: 2.1.3
% 4.12/1.28 % (2415694)Termination reason: Instruction limit
% 4.12/1.28 % (2415694)Termination phase: Saturation
% 4.12/1.28 % (2415694)Time elapsed: 0.147 s
% 4.12/1.28 % (2415694)Peak memory usage: 118 MB
% 4.12/1.28 % (2415694)Instructions burned: 201 (million)
% 4.12/1.28 % (2415708)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3164975108:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.12/1.28 % (2415709)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=298077053:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 4.12/1.28 % (2415708)Instruction limit reached!
% 4.12/1.28 % (2415708)------------------------------
% 4.12/1.28 % (2415708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.28 % (2415708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.28 % (2415708)CaDiCaL version: 2.1.3
% 4.12/1.28 % (2415708)Termination reason: Instruction limit
% 4.12/1.28 % (2415708)Termination phase: Saturation
% 4.12/1.28 % (2415708)Time elapsed: 0.011 s
% 4.12/1.28 % (2415708)Peak memory usage: 90 MB
% 4.12/1.28 % (2415708)Instructions burned: 18 (million)
% 4.12/1.28 % (2415710)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=367993890:i=27:canc=cautious:fsr=off:rtra=on_2998 on theBenchmark for (2998ds/27Mi)
% 4.12/1.28 % (2415710)Refutation not found, incomplete strategy
% 4.12/1.28 % (2415710)------------------------------
% 4.12/1.28 % (2415710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.28 % (2415710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.28 % (2415710)CaDiCaL version: 2.1.3
% 4.12/1.28 % (2415710)Termination reason: Refutation not found, incomplete strategy
% 4.12/1.28 % (2415710)Time elapsed: 0.002 s
% 4.12/1.28 % (2415710)Peak memory usage: 89 MB
% 4.12/1.28 % (2415710)Instructions burned: 2 (million)
% 4.12/1.28 % (2415709)Instruction limit reached!
% 4.12/1.28 % (2415709)------------------------------
% 4.12/1.28 % (2415709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.28 % (2415709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.28 % (2415709)CaDiCaL version: 2.1.3
% 4.12/1.28 % (2415709)Termination reason: Instruction limit
% 4.12/1.28 % (2415709)Termination phase: Saturation
% 4.12/1.28 % (2415709)Time elapsed: 0.019 s
% 4.12/1.28 % (2415709)Peak memory usage: 89 MB
% 4.12/1.28 % (2415709)Instructions burned: 25 (million)
% 4.12/1.28 % (2415693)Instruction limit reached!
% 4.12/1.28 % (2415693)------------------------------
% 4.12/1.28 % (2415693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.28 % (2415693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.42 % (2415693)CaDiCaL version: 2.1.3
% 4.94/1.42 % (2415693)Termination reason: Instruction limit
% 4.94/1.42 % (2415693)Termination phase: Saturation
% 4.94/1.42 % (2415693)Time elapsed: 0.193 s
% 4.94/1.42 % (2415693)Peak memory usage: 116 MB
% 4.94/1.42 % (2415693)Instructions burned: 308 (million)
% 4.94/1.42 % (2415712)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=362577937:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.94/1.42 % (2415712)Instruction limit reached!
% 4.94/1.42 % (2415712)------------------------------
% 4.94/1.42 % (2415712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.42 % (2415712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.42 % (2415712)CaDiCaL version: 2.1.3
% 4.94/1.42 % (2415712)Termination reason: Instruction limit
% 4.94/1.42 % (2415712)Termination phase: Saturation
% 4.94/1.42 % (2415712)Time elapsed: 0.026 s
% 4.94/1.42 % (2415712)Peak memory usage: 88 MB
% 4.94/1.42 % (2415712)Instructions burned: 87 (million)
% 4.94/1.42 % (2415714)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=4259372345:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 4.94/1.42 % (2415714)Instruction limit reached!
% 4.94/1.42 % (2415714)------------------------------
% 4.94/1.42 % (2415714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.42 % (2415714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.42 % (2415714)CaDiCaL version: 2.1.3
% 4.94/1.42 % (2415714)Termination reason: Instruction limit
% 4.94/1.42 % (2415714)Termination phase: Saturation
% 4.94/1.42 % (2415714)Time elapsed: 0.003 s
% 4.94/1.42 % (2415714)Peak memory usage: 89 MB
% 4.94/1.42 % (2415714)Instructions burned: 3 (million)
% 4.94/1.42 % (2415715)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3070014984:i=181:rtra=on:ss=axioms:ev=cautious_2997 on theBenchmark for (2997ds/181Mi)
% 4.94/1.42 % (2415720)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2233544530:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 4.94/1.42 % (2415719)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=4068788043:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.94/1.42 % (2415719)Instruction limit reached!
% 4.94/1.42 % (2415719)------------------------------
% 4.94/1.42 % (2415719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.42 % (2415719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.42 % (2415719)CaDiCaL version: 2.1.3
% 4.94/1.42 % (2415719)Termination reason: Instruction limit
% 4.94/1.42 % (2415719)Termination phase: Saturation
% 4.94/1.42 % (2415719)Time elapsed: 0.004 s
% 4.94/1.42 % (2415719)Peak memory usage: 88 MB
% 4.94/1.42 % (2415719)Instructions burned: 5 (million)
% 4.94/1.42 % (2415723)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=1574086054:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 4.94/1.42 % (2415723)Instruction limit reached!
% 4.94/1.42 % (2415723)------------------------------
% 4.94/1.42 % (2415723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.43 % (2415723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.43 % (2415723)CaDiCaL version: 2.1.3
% 4.94/1.43 % (2415723)Termination reason: Instruction limit
% 4.94/1.43 % (2415723)Termination phase: Saturation
% 4.94/1.43 % (2415723)Time elapsed: 0.004 s
% 4.94/1.43 % (2415723)Peak memory usage: 88 MB
% 4.94/1.43 % (2415723)Instructions burned: 10 (million)
% 4.94/1.43 % (2415722)lrs+10_1_thi=all:si=on:fd=off:random_seed=3634096013:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 4.94/1.43 % (2415722)Instruction limit reached!
% 4.94/1.43 % (2415722)------------------------------
% 4.94/1.43 % (2415722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.43 % (2415722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.43 % (2415722)CaDiCaL version: 2.1.3
% 4.94/1.43 % (2415722)Termination reason: Instruction limit
% 4.94/1.43 % (2415722)Termination phase: Saturation
% 4.94/1.43 % (2415722)Time elapsed: 0.064 s
% 4.94/1.43 % (2415722)Peak memory usage: 116 MB
% 4.94/1.43 % (2415722)Instructions burned: 53 (million)
% 4.94/1.43 % (2415720)Instruction limit reached!
% 5.08/1.60 % (2415720)------------------------------
% 5.08/1.60 % (2415720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415720)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415720)Termination reason: Instruction limit
% 5.08/1.60 % (2415720)Termination phase: Saturation
% 5.08/1.60 % (2415720)Time elapsed: 0.092 s
% 5.08/1.60 % (2415720)Peak memory usage: 133 MB
% 5.08/1.60 % (2415720)Instructions burned: 66 (million)
% 5.08/1.60 % (2415715)Instruction limit reached!
% 5.08/1.60 % (2415715)------------------------------
% 5.08/1.60 % (2415715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415715)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415715)Termination reason: Instruction limit
% 5.08/1.60 % (2415715)Termination phase: Saturation
% 5.08/1.60 % (2415715)Time elapsed: 0.117 s
% 5.08/1.60 % (2415715)Peak memory usage: 90 MB
% 5.08/1.60 % (2415715)Instructions burned: 182 (million)
% 5.08/1.60 % (2415731)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=728110255:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 5.08/1.60 % (2415725)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3832344078:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 5.08/1.60 % (2415725)Instruction limit reached!
% 5.08/1.60 % (2415725)------------------------------
% 5.08/1.60 % (2415725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415725)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415725)Termination reason: Instruction limit
% 5.08/1.60 % (2415725)Termination phase: Saturation
% 5.08/1.60 % (2415725)Time elapsed: 0.003 s
% 5.08/1.60 % (2415725)Peak memory usage: 90 MB
% 5.08/1.60 % (2415725)Instructions burned: 3 (million)
% 5.08/1.60 % (2415730)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=164465288:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 5.08/1.60 % (2415710)------------------------------
% 5.08/1.60 % (2415710)------------------------------
% 5.08/1.60 % (2415730)Instruction limit reached!
% 5.08/1.60 % (2415730)------------------------------
% 5.08/1.60 % (2415730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415730)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415730)Termination reason: Instruction limit
% 5.08/1.60 % (2415730)Termination phase: Saturation
% 5.08/1.60 % (2415730)Time elapsed: 0.003 s
% 5.08/1.60 % (2415730)Peak memory usage: 89 MB
% 5.08/1.60 % (2415730)Instructions burned: 3 (million)
% 5.08/1.60 % (2415731)Instruction limit reached!
% 5.08/1.60 % (2415731)------------------------------
% 5.08/1.60 % (2415731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415731)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415731)Termination reason: Instruction limit
% 5.08/1.60 % (2415731)Termination phase: Saturation
% 5.08/1.60 % (2415731)Time elapsed: 0.065 s
% 5.08/1.60 % (2415731)Peak memory usage: 117 MB
% 5.08/1.60 % (2415731)Instructions burned: 128 (million)
% 5.08/1.60 % (2415734)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2860840526:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 5.08/1.60 % (2415734)Refutation not found, incomplete strategy
% 5.08/1.60 % (2415734)------------------------------
% 5.08/1.60 % (2415734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415734)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415734)Termination reason: Refutation not found, incomplete strategy
% 5.08/1.60 % (2415734)Time elapsed: 0.002 s
% 5.08/1.60 % (2415734)Peak memory usage: 88 MB
% 5.08/1.60 % (2415734)Instructions burned: 2 (million)
% 5.08/1.60 % (2415733)dis+10_1_si=on:random_seed=485251522:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 5.08/1.60 % (2415733)Instruction limit reached!
% 5.08/1.60 % (2415733)------------------------------
% 5.08/1.60 % (2415733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415733)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415733)Termination reason: Instruction limit
% 5.08/1.60 % (2415733)Termination phase: Saturation
% 5.08/1.60 % (2415733)Time elapsed: 0.007 s
% 5.08/1.60 % (2415733)Peak memory usage: 88 MB
% 5.08/1.60 % (2415733)Instructions burned: 10 (million)
% 5.08/1.60 % (2415736)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3206402639:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 5.08/1.60 % (2415738)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=599269108:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 5.08/1.60 % (2415738)Instruction limit reached!
% 5.08/1.60 % (2415738)------------------------------
% 5.08/1.60 % (2415738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415738)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415738)Termination reason: Instruction limit
% 5.08/1.60 % (2415738)Termination phase: Saturation
% 5.08/1.60 % (2415738)Time elapsed: 0.003 s
% 5.08/1.60 % (2415738)Peak memory usage: 89 MB
% 5.08/1.60 % (2415738)Instructions burned: 3 (million)
% 5.08/1.60 % (2415742)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2520213704:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 5.08/1.60 % (2415740)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1830159725:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 5.08/1.60 % (2415736)Instruction limit reached!
% 5.08/1.60 % (2415736)------------------------------
% 5.08/1.60 % (2415736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415736)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415736)Termination reason: Instruction limit
% 5.08/1.60 % (2415736)Termination phase: Saturation
% 5.08/1.60 % (2415736)Time elapsed: 0.030 s
% 5.08/1.60 % (2415736)Peak memory usage: 89 MB
% 5.08/1.60 % (2415736)Instructions burned: 35 (million)
% 5.08/1.60 % (2415740)Instruction limit reached!
% 5.08/1.60 % (2415740)------------------------------
% 5.08/1.60 % (2415740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415740)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415740)Termination reason: Instruction limit
% 5.08/1.60 % (2415740)Termination phase: Saturation
% 5.08/1.60 % (2415740)Time elapsed: 0.007 s
% 5.08/1.60 % (2415740)Peak memory usage: 88 MB
% 5.08/1.60 % (2415740)Instructions burned: 8 (million)
% 5.08/1.60 % (2415742)Instruction limit reached!
% 5.08/1.60 % (2415742)------------------------------
% 5.08/1.60 % (2415742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415742)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415742)Termination reason: Instruction limit
% 5.08/1.60 % (2415742)Termination phase: Saturation
% 5.08/1.60 % (2415742)Time elapsed: 0.020 s
% 5.08/1.60 % (2415742)Peak memory usage: 116 MB
% 5.08/1.60 % (2415742)Instructions burned: 14 (million)
% 5.08/1.60 % (2415741)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=4147275328:i=370:ep=RS:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/370Mi)
% 5.08/1.60 % (2415746)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=1821317075:i=226:rtra=on:gtg=position:ss=axioms_2993 on theBenchmark for (2993ds/226Mi)
% 5.08/1.60 % (2415753)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1823759404:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2992 on theBenchmark for (2992ds/294Mi)
% 5.08/1.60 % (2415749)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=4101356173:i=10:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 5.08/1.60 % (2415749)Instruction limit reached!
% 5.08/1.60 % (2415749)------------------------------
% 5.08/1.60 % (2415749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415749)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415749)Termination reason: Instruction limit
% 5.08/1.60 % (2415749)Termination phase: Saturation
% 5.08/1.60 % (2415749)Time elapsed: 0.009 s
% 5.08/1.60 % (2415749)Peak memory usage: 88 MB
% 5.08/1.60 % (2415749)Instructions burned: 12 (million)
% 5.08/1.60 % (2415753)First to succeed.
% 5.08/1.60 % (2415753)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2415687"
% 5.08/1.60 % (2415751)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=34380331:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 5.08/1.60 % (2415752)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=1032459299:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 5.08/1.60 % (2415752)Instruction limit reached!
% 5.08/1.60 % (2415752)------------------------------
% 5.08/1.60 % (2415752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415752)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415752)Termination reason: Instruction limit
% 5.08/1.60 % (2415752)Termination phase: Saturation
% 5.08/1.60 % (2415752)Time elapsed: 0.053 s
% 5.08/1.60 % (2415752)Peak memory usage: 89 MB
% 5.08/1.60 % (2415752)Instructions burned: 76 (million)
% 5.08/1.60 % (2415734)------------------------------
% 5.08/1.60 % (2415734)------------------------------
% 5.08/1.60 % (2415741)Instruction limit reached!
% 5.08/1.60 % (2415741)------------------------------
% 5.08/1.60 % (2415741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415741)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415741)Termination reason: Instruction limit
% 5.08/1.60 % (2415741)Termination phase: Saturation
% 5.08/1.60 % (2415741)Time elapsed: 0.202 s
% 5.08/1.60 % (2415741)Peak memory usage: 91 MB
% 5.08/1.60 % (2415741)Instructions burned: 371 (million)
% 5.08/1.60 % (2415751)Instruction limit reached!
% 5.08/1.60 % (2415751)------------------------------
% 5.08/1.60 % (2415751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415751)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415751)Termination reason: Instruction limit
% 5.08/1.60 % (2415751)Termination phase: Saturation
% 5.08/1.60 % (2415751)Time elapsed: 0.096 s
% 5.08/1.60 % (2415751)Peak memory usage: 133 MB
% 5.08/1.60 % (2415751)Instructions burned: 72 (million)
% 5.08/1.60 % (2415758)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=4104541833:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2991 on theBenchmark for (2991ds/130Mi)
% 5.08/1.60 % (2415746)Instruction limit reached!
% 5.08/1.60 % (2415746)------------------------------
% 5.08/1.60 % (2415746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.60 % (2415746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.60 % (2415746)CaDiCaL version: 2.1.3
% 5.08/1.60 % (2415746)Termination reason: Instruction limit
% 5.08/1.60 % (2415746)Time elapsed: 0.173 s
% 5.08/1.60 % (2415746)Peak memory usage: 118 MB
% 5.08/1.60 % (2415746)Instructions burned: 227 (million)
% 5.08/1.60 % (2415753)Refutation found. Thanks to Tanya!
% 5.08/1.60 % SZS status Theorem for theBenchmark
% 5.08/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 7.34/1.79 % (2415753)------------------------------
% 7.34/1.79 % (2415753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.79 % (2415753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.79 % (2415753)CaDiCaL version: 2.1.3
% 7.34/1.79 % (2415753)Termination reason: Refutation
% 7.34/1.79 % (2415753)Time elapsed: 0.033 s
% 7.34/1.79 % (2415753)Peak memory usage: 90 MB
% 7.34/1.79 % (2415753)Instructions burned: 84 (million)
% 7.34/1.79 % (2415753)------------------------------
% 7.34/1.79 % (2415753)------------------------------
% 7.34/1.79 % (2415687)Success in time 0.99 s
% 7.34/1.79 % Vampire exiting
%------------------------------------------------------------------------------