%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL759_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 12:00:29 PM UTC 2026
% Result : Theorem 5.82s 1.31s
% Output : Refutation 5.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 11 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 12 con; 0-5 aty)
% Number of variables : 53 ( 53 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
dB: $tType ).
tff(type_def_7,type,
list: $tType > $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(fun(X2,X0),fun(X2,X1))) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).
tff(func_def_2,type,
combi:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_3,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_4,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
plus_plus:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_6,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_7,type,
it: fun(dB,bool) ).
tff(func_def_8,type,
abs: dB > dB ).
tff(func_def_9,type,
app: fun(dB,fun(dB,dB)) ).
tff(func_def_10,type,
var: nat > dB ).
tff(func_def_11,type,
dB_size: dB > nat ).
tff(func_def_12,type,
lift: fun(dB,fun(nat,dB)) ).
tff(func_def_13,type,
liftn: ( nat * dB * nat ) > dB ).
tff(func_def_14,type,
subst: fun(dB,fun(dB,fun(nat,dB))) ).
tff(func_def_15,type,
substn: ( dB * dB * nat ) > dB ).
tff(func_def_16,type,
foldl:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).
tff(func_def_17,type,
map:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X1) ) ).
tff(func_def_18,type,
suc: nat > nat ).
tff(func_def_19,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_20,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_21,type,
fFalse: bool ).
tff(func_def_22,type,
fTrue: bool ).
tff(func_def_23,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_24,type,
ia: nat ).
tff(func_def_25,type,
ja: nat ).
tff(func_def_26,type,
ra: dB ).
tff(func_def_27,type,
s: dB ).
tff(func_def_28,type,
ss: list(dB) ).
tff(func_def_29,type,
sK0: dB > dB ).
tff(func_def_30,type,
sK1: dB > dB ).
tff(func_def_31,type,
sK2: dB > list(dB) ).
tff(func_def_32,type,
sK3: dB > dB ).
tff(func_def_33,type,
sK4: dB > list(dB) ).
tff(func_def_34,type,
sK5: dB > nat ).
tff(func_def_35,type,
sK6: nat > nat ).
tff(func_def_36,type,
sK7: fun(nat,bool) > nat ).
tff(func_def_37,type,
sK8: fun(nat,bool) > nat ).
tff(func_def_38,type,
sK9: nat > nat ).
tff(func_def_39,type,
sK10:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_40,type,
sK11: ( dB * dB ) > dB ).
tff(func_def_41,type,
sK12: ( dB * dB * dB ) > dB ).
tff(func_def_42,type,
sK13: ( dB * dB * dB ) > dB ).
tff(func_def_43,type,
sK14: ( dB * dB * dB ) > dB ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
beta: ( dB * dB ) > $o ).
tff(pred_def_11,type,
listsp:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_12,type,
pp: bool > $o ).
tff(f1,axiom,
! [X3: list(dB),X4: dB,X5: dB] :
( pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,X5),X4),zero_zero(nat)),X3)))
=> ( pp(aa(dB,bool,it,X4))
=> pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(X5)),X4),X3))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Beta) ).
tff(f109,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_U) ).
tff(f116,axiom,
! [X0: nat,X1: nat] : pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(X0))),suc(X1))),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(X0)),X1)),zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(X0)),X1),ss)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f118,axiom,
! [X0: nat,X1: nat] : pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(X0)),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
tff(f119,conjecture,
pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(ia))),suc(ja)))),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(ia)),ja)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(ia)),ja),ss)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
tff(f120,negated_conjecture,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(ia))),suc(ja)))),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(ia)),ja)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(ia)),ja),ss)))),
inference(negated_conjecture,[status(cth)],[f119]) ).
tff(f121,plain,
! [X0: list(dB),X1: dB,X2: dB] :
( pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,X2),X1),zero_zero(nat)),X0)))
=> ( pp(aa(dB,bool,it,X1))
=> pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(X2)),X1),X0))) ) ),
inference(rectify,[],[f1]) ).
tff(f124,plain,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(ia))),suc(ja)))),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(ia)),ja)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(ia)),ja),ss)))),
inference(flattening,[],[f120]) ).
tff(f128,plain,
! [X0: list(dB),X1: dB,X2: dB] :
( pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(X2)),X1),X0)))
| ~ pp(aa(dB,bool,it,X1))
| ~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,X2),X1),zero_zero(nat)),X0))) ),
inference(ennf_transformation,[],[f121]) ).
tff(f129,plain,
! [X0: list(dB),X1: dB,X2: dB] :
( pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(X2)),X1),X0)))
| ~ pp(aa(dB,bool,it,X1))
| ~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,X2),X1),zero_zero(nat)),X0))) ),
inference(flattening,[],[f128]) ).
tff(f165,plain,
! [X2: dB,X0: list(dB),X1: dB] :
( ~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,X2),X1),zero_zero(nat)),X0)))
| ~ pp(aa(dB,bool,it,X1))
| pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(X2)),X1),X0))) ),
inference(cnf_transformation,[],[f129]) ).
tff(f321,plain,
! [X1: $tType,X0: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
inference(cnf_transformation,[],[f109]) ).
tff(f328,plain,
! [X0: nat,X1: nat] : pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(X0))),suc(X1))),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(X0)),X1)),zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(X0)),X1),ss)))),
inference(cnf_transformation,[],[f116]) ).
tff(f330,plain,
! [X0: nat,X1: nat] : pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(X0)),X1))),
inference(cnf_transformation,[],[f118]) ).
tff(f331,plain,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(ia))),suc(ja)))),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(ia)),ja)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(ia)),ja),ss)))),
inference(cnf_transformation,[],[f124]) ).
tff(f534,plain,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,combc(dB,dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(ia)),ja)),abs(aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(ia))),suc(ja)))),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(ia)),ja),ss)))),
inference(superposition,[],[f331,f321]) ).
tff(f552,plain,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,combc(dB,dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(ia)),ja)),abs(aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,ra),suc(ja)),var(suc(ia))))),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(ia)),ja),ss)))),
inference(forward_demodulation,[],[f534,f321]) ).
tff(f557,plain,
~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,combc(dB,dB,dB,app,aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,s),ja),var(ia))),abs(aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,ra),suc(ja)),var(suc(ia))))),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(ia)),ja),ss)))),
inference(forward_demodulation,[],[f552,f321]) ).
tff(f582,plain,
! [X0: nat,X1: nat] : pp(aa(dB,bool,it,aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,s),X1),var(X0)))),
inference(forward_demodulation,[],[f330,f321]) ).
tff(f1665,plain,
! [X2: dB,X0: list(dB),X1: dB] :
( ~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,X2),zero_zero(nat)),X1),X0)))
| ~ pp(aa(dB,bool,it,X1))
| pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(X2)),X1),X0))) ),
inference(forward_demodulation,[],[f165,f321]) ).
tff(f1666,plain,
! [X2: dB,X0: list(dB),X1: dB] :
( ~ pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,X2),zero_zero(nat)),X1),X0)))
| pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,combc(dB,dB,dB,app,X1),abs(X2)),X0)))
| ~ pp(aa(dB,bool,it,X1)) ),
inference(forward_demodulation,[],[f1665,f321]) ).
tff(f1898,plain,
! [X0: nat,X1: nat] : pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(X0))),suc(X1))),zero_zero(nat)),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,s),var(X0)),X1)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(X0)),X1),ss)))),
inference(forward_demodulation,[],[f328,f321]) ).
tff(f1899,plain,
! [X0: nat,X1: nat] : pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,ra),var(suc(X0))),suc(X1))),zero_zero(nat)),aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,s),X1),var(X0))),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(X0)),X1),ss)))),
inference(forward_demodulation,[],[f1898,f321]) ).
tff(f1900,plain,
! [X0: nat,X1: nat] : pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,ra),suc(X1)),var(suc(X0)))),zero_zero(nat)),aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,s),X1),var(X0))),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(X0)),X1),ss)))),
inference(forward_demodulation,[],[f1899,f321]) ).
tff(f1905,plain,
! [X0: nat,X1: nat] :
( pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,combc(dB,dB,dB,app,aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,s),X0),var(X1))),abs(aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,ra),suc(X0)),var(suc(X1))))),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(X1)),X0),ss))))
| ~ pp(aa(dB,bool,it,aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,s),X0),var(X1)))) ),
inference(resolution,[],[f1900,f1666]) ).
tff(f1918,plain,
! [X0: nat,X1: nat] : pp(aa(dB,bool,it,foldl(dB,dB,app,aa(dB,dB,combc(dB,dB,dB,app,aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,s),X0),var(X1))),abs(aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,ra),suc(X0)),var(suc(X1))))),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,var(X1)),X0),ss)))),
inference(forward_subsumption_resolution,[],[f1905,f582]) ).
tff(f17618,plain,
$false,
inference(resolution,[],[f1918,f557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL759_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.38 % Computer : n013.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sun Sep 27 16:44:06 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 Running first-order model finding
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.82/1.31 % (409802)Will run a generic schedule for satisfiability detection.
% 5.82/1.31 % (409812)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=47753869:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.82/1.31 % (409808)% WARNING: option uhcvi not known.
% 5.82/1.31 % (409807)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=527392329_2999 on theBenchmark for (2999ds/0Mi)
% 5.82/1.31 % (409808)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2947389048:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.82/1.31 % (409809)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1968787758:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.82/1.31 % (409810)dis+10_1_sil=32000:sp=arity:random_seed=3345276144:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.82/1.31 % (409811)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3365972378:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.82/1.31 % (409813)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=231751770:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.82/1.31 % Exception at run slice level
% 5.82/1.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.82/1.31 % (409821)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2684896665:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.82/1.31 % Exception at run slice level
% 5.82/1.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.82/1.31 % (409812)Instruction limit reached!
% 5.82/1.31 % (409812)------------------------------
% 5.82/1.31 % (409812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.31 % (409812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.31 % (409812)CaDiCaL version: 2.1.3
% 5.82/1.31 % (409812)Termination reason: Instruction limit
% 5.82/1.31 % (409812)Termination phase: Saturation
% 5.82/1.31 % (409812)Time elapsed: 0.043 s
% 5.82/1.31 % (409812)Peak memory usage: 13 MB
% 5.82/1.31 % (409812)Instructions burned: 134 (million)
% 5.82/1.31 % (409824)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4090957791:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.82/1.31 % (409823)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=658046021:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.82/1.31 % (409810)Instruction limit reached!
% 5.82/1.31 % (409810)------------------------------
% 5.82/1.31 % (409810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.31 % (409810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.31 % (409810)CaDiCaL version: 2.1.3
% 5.82/1.31 % (409810)Termination reason: Instruction limit
% 5.82/1.31 % (409810)Termination phase: Saturation
% 5.82/1.31 % (409810)Time elapsed: 0.060 s
% 5.82/1.31 % (409810)Peak memory usage: 12 MB
% 5.82/1.31 % (409810)Instructions burned: 105 (million)
% 5.82/1.31 % (409811)Instruction limit reached!
% 5.82/1.31 % (409811)------------------------------
% 5.82/1.31 % (409811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.31 % (409811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.31 % (409811)CaDiCaL version: 2.1.3
% 5.82/1.31 % (409811)Termination reason: Instruction limit
% 5.82/1.31 % (409811)Termination phase: Saturation
% 5.82/1.31 % (409811)Time elapsed: 0.066 s
% 5.82/1.31 % (409811)Peak memory usage: 13 MB
% 5.82/1.31 % (409811)Instructions burned: 116 (million)
% 5.82/1.31 % (409827)ott-21_1_sil=16000:fs=off:random_seed=2970021537:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 5.82/1.31 % (409828)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2638166597:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.82/1.31 % (409813)Instruction limit reached!
% 5.82/1.31 % (409813)------------------------------
% 5.82/1.31 % (409813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.31 % (409813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.31 % (409813)CaDiCaL version: 2.1.3
% 5.82/1.31 % (409813)Termination reason: Instruction limit
% 5.82/1.31 % (409813)Termination phase: Saturation
% 5.82/1.31 % (409813)Time elapsed: 0.095 s
% 5.82/1.31 % (409813)Peak memory usage: 13 MB
% 5.82/1.31 % (409813)Instructions burned: 160 (million)
% 5.82/1.31 % (409831)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3100465240:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 5.82/1.31 % Exception at run slice level
% 5.82/1.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.82/1.31 % (409823)Instruction limit reached!
% 5.82/1.31 % (409823)------------------------------
% 5.82/1.31 % (409823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.31 % (409823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.31 % (409823)CaDiCaL version: 2.1.3
% 5.82/1.31 % (409823)Termination reason: Instruction limit
% 5.82/1.31 % (409823)Termination phase: Saturation
% 5.82/1.31 % (409823)Time elapsed: 0.082 s
% 5.82/1.31 % (409823)Peak memory usage: 13 MB
% 5.82/1.31 % (409823)Instructions burned: 132 (million)
% 5.82/1.31 % (409833)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=933493587:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 5.82/1.31 % (409834)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=417066181:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 5.82/1.31 % Exception at run slice level
% 5.82/1.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.82/1.31 % (409827)Instruction limit reached!
% 5.82/1.31 % (409827)------------------------------
% 5.82/1.31 % (409827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.31 % (409827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.31 % (409827)CaDiCaL version: 2.1.3
% 5.82/1.31 % (409827)Termination reason: Instruction limit
% 5.82/1.31 % (409827)Termination phase: Saturation
% 5.82/1.31 % (409827)Time elapsed: 0.092 s
% 5.82/1.31 % (409827)Peak memory usage: 12 MB
% 5.82/1.31 % (409827)Instructions burned: 181 (million)
% 5.82/1.31 % (409837)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3335987451:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 5.82/1.31 % (409838)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2333390164:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 5.82/1.31 % (409824)Instruction limit reached!
% 5.82/1.31 % (409824)------------------------------
% 5.82/1.31 % (409824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.31 % (409824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.31 % (409824)CaDiCaL version: 2.1.3
% 5.82/1.31 % (409824)Termination reason: Instruction limit
% 5.82/1.31 % (409824)Termination phase: Saturation
% 5.82/1.31 % (409824)Time elapsed: 0.199 s
% 5.82/1.31 % (409824)Peak memory usage: 17 MB
% 5.82/1.31 % (409824)Instructions burned: 685 (million)
% 5.82/1.31 % (409841)fmb+10_1_sil=64000:random_seed=596021793:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 5.82/1.31 % (409841)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.82/1.31 % Exception at run slice level
% 5.82/1.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.82/1.31 % (409843)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=321617887:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 5.82/1.31 % Exception at run slice level
% 5.82/1.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.82/1.31 % (409845)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3046660131:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 5.82/1.31 % Exception at run slice level
% 5.82/1.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.82/1.31 % (409847)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=538866334:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 5.82/1.31 % (409828)Instruction limit reached!
% 5.82/1.31 % (409828)------------------------------
% 5.82/1.31 % (409828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.31 % (409828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.31 % (409828)CaDiCaL version: 2.1.3
% 5.82/1.31 % (409828)Termination reason: Instruction limit
% 5.82/1.31 % (409828)Termination phase: Saturation
% 5.82/1.31 % (409828)Time elapsed: 0.292 s
% 5.82/1.31 % (409828)Peak memory usage: 14 MB
% 5.82/1.31 % (409828)Instructions burned: 477 (million)
% 5.82/1.31 % (409849)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2724351287:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 5.82/1.31 % (409849)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.82/1.31 % (409837)Instruction limit reached!
% 5.82/1.31 % (409837)------------------------------
% 5.82/1.31 % (409837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.31 % (409837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.31 % (409837)CaDiCaL version: 2.1.3
% 5.82/1.31 % (409837)Termination reason: Instruction limit
% 5.82/1.31 % (409837)Termination phase: Saturation
% 5.82/1.31 % (409837)Time elapsed: 0.406 s
% 5.82/1.31 % (409837)Peak memory usage: 20 MB
% 5.82/1.31 % (409837)Instructions burned: 693 (million)
% 5.82/1.31 % (409851)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=232655986:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 5.82/1.31 % Exception at run slice level
% 5.82/1.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.82/1.31 % (409853)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4245919055:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 5.82/1.31 % Exception at run slice level
% 5.82/1.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.82/1.31 % (409855)ott-2_1_sil=16000:newcnf=on:random_seed=3270092110:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 5.82/1.31 % (409838)Instruction limit reached!
% 5.82/1.31 % (409838)------------------------------
% 5.82/1.31 % (409838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.31 % (409838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.31 % (409838)CaDiCaL version: 2.1.3
% 5.82/1.31 % (409838)Termination reason: Instruction limit
% 5.82/1.31 % (409838)Termination phase: Saturation
% 5.82/1.31 % (409838)Time elapsed: 0.482 s
% 5.82/1.31 % (409838)Peak memory usage: 18 MB
% 5.82/1.31 % (409838)Instructions burned: 879 (million)
% 5.82/1.31 % (409857)ott+10_1_sil=32000:tgt=ground:random_seed=1717484456:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 5.82/1.31 % (409847) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-409802-409847"...
% 5.82/1.31 % (409847)...printing done.
% 5.82/1.31 % (409833)Instruction limit reached!
% 5.82/1.31 % (409833)------------------------------
% 5.82/1.31 % (409833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.31 % (409833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.31 % (409833)CaDiCaL version: 2.1.3
% 5.82/1.31 % (409833)Termination reason: Instruction limit
% 5.82/1.31 % (409833)Termination phase: Saturation
% 5.82/1.31 % (409833)Time elapsed: 0.704 s
% 5.82/1.31 % (409833)Peak memory usage: 20 MB
% 5.82/1.31 % (409833)Instructions burned: 1180 (million)
% 5.82/1.31 % (409847)Refutation found. Thanks to Tanya!
% 5.82/1.31 % SZS status Theorem for theBenchmark
% 5.82/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 5.82/1.31 % (409847)------------------------------
% 5.82/1.31 % (409847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.31 % (409847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.31 % (409847)CaDiCaL version: 2.1.3
% 5.82/1.31 % (409847)Termination reason: Refutation
% 5.82/1.31 % (409847)Time elapsed: 0.550 s
% 5.82/1.31 % (409847)Peak memory usage: 24 MB
% 5.82/1.31 % (409847)Instructions burned: 1957 (million)
% 5.82/1.31 % (409802)Success in time 0.891 s
% 5.82/1.31 % Vampire exiting
%------------------------------------------------------------------------------