%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA026-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:30:55 AM UTC 2026
% Result : Unsatisfiable 12.85s 2.68s
% Output : Refutation 14.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 41
% Syntax : Number of formulae : 171 ( 57 unt; 19 def)
% Number of atoms : 388 ( 37 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 415 ( 198 ~; 205 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 13 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-3 aty)
% Number of variables : 92 ( 0 sgn 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1425,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f1434,axiom,
! [X0,X1] :
( ~ c_lessequals(c_0,X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f1454,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_minus(X1,X2,X0),c_0,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__le__0__iff__le_0) ).
fof(f1460,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,X1,X0) = c_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).
fof(f1461,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_0 = c_minus(X1,X1,X0) ),
inference(reorient_equations,[],[f1460]) ).
fof(f1536,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(X3,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
fof(f2262,axiom,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f3025,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f3032,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f3037,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f3044,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f3048,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f3365,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(c_minus(X1,X2,X0),X2,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__11_0) ).
fof(f3371,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(c_minus(X1,X2,X0),X3,X0) = c_minus(c_plus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).
fof(f3372,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(c_minus(X1,X2,X0),X3,X0) = c_minus(X1,c_plus(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__4_0) ).
fof(f3381,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,c_minus(X2,X3,X0),X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(c_plus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
fof(f3382,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_plus(X1,X2,X0),X3,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(X1,c_minus(X3,X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
fof(f3386,axiom,
! [X2,X0,X1] :
( c_lessequals(X2,X1,X0)
| c_less(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
fof(f3388,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f3389,axiom,
! [X2,X0,X1] :
( ~ c_less(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f3391,negated_conjecture,
! [X0] : c_lessequals(v_g(X0),v_k(X0),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3392,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3393,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3614,definition,
sF0 = v_f(v_x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f3615,plain,
v_f(v_x) = sF0,
inference(reorient_equations,[],[f3614]) ).
fof(f3616,definition,
sF1 = v_k(v_x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f3617,plain,
v_k(v_x) = sF1,
inference(reorient_equations,[],[f3616]) ).
fof(f3618,definition,
sF2 = c_minus(sF0,sF1,t_b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f3619,plain,
c_minus(sF0,sF1,t_b) = sF2,
inference(reorient_equations,[],[f3618]) ).
fof(f3620,definition,
sF3 = c_Orderings_Omax(sF2,c_0,t_b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f3621,plain,
c_Orderings_Omax(sF2,c_0,t_b) = sF3,
inference(reorient_equations,[],[f3620]) ).
fof(f3622,definition,
sF4 = v_g(v_x),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f3623,plain,
v_g(v_x) = sF4,
inference(reorient_equations,[],[f3622]) ).
fof(f3624,definition,
sF5 = c_minus(sF0,sF4,t_b),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f3625,plain,
c_minus(sF0,sF4,t_b) = sF5,
inference(reorient_equations,[],[f3624]) ).
fof(f3626,definition,
sF6 = c_HOL_Oabs(sF5,t_b),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f3627,plain,
c_HOL_Oabs(sF5,t_b) = sF6,
inference(reorient_equations,[],[f3626]) ).
fof(f3628,plain,
~ c_lessequals(sF3,sF6,t_b),
inference(definition_folding,[],[f3392,f3627,f3625,f3623,f3615,f3621,f3619,f3617,f3615]) ).
fof(f3771,definition,
( spl7_3
<=> class_Orderings_Oorder(t_b) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f3772,plain,
( class_Orderings_Oorder(t_b)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f3771]) ).
fof(f3773,plain,
( ~ class_Orderings_Oorder(t_b)
| spl7_3 ),
inference(avatar_component_clause,[],[f3771]) ).
fof(f3780,plain,
c_lessequals(v_g(v_x),sF1,t_b),
inference(superposition,[],[f3391,f3617]) ).
fof(f3781,plain,
c_lessequals(sF4,sF1,t_b),
inference(forward_demodulation,[],[f3780,f3623]) ).
fof(f3783,plain,
! [X0] :
( ~ c_lessequals(sF1,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF4,X0,t_b) ),
inference(resolution,[],[f3781,f3388]) ).
fof(f3785,plain,
! [X0] :
( c_lessequals(sF3,X0,t_b)
| ~ c_lessequals(c_0,X0,t_b)
| ~ c_lessequals(sF2,X0,t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(superposition,[],[f1536,f3621]) ).
fof(f3787,definition,
( spl7_5
<=> class_Orderings_Olinorder(t_b) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f3788,plain,
( class_Orderings_Olinorder(t_b)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f3787]) ).
fof(f3789,plain,
( ~ class_Orderings_Olinorder(t_b)
| spl7_5 ),
inference(avatar_component_clause,[],[f3787]) ).
fof(f3791,definition,
( spl7_6
<=> ! [X0] :
( c_lessequals(sF3,X0,t_b)
| ~ c_lessequals(sF2,X0,t_b)
| ~ c_lessequals(c_0,X0,t_b) ) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f3792,plain,
( ! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| c_lessequals(sF3,X0,t_b)
| ~ c_lessequals(c_0,X0,t_b) )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f3791]) ).
fof(f3793,plain,
( ~ spl7_5
| spl7_6 ),
inference(avatar_split_clause,[],[f3785,f3791,f3787]) ).
fof(f3798,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f3037,f3393]) ).
fof(f3799,plain,
( $false
| spl7_3 ),
inference(forward_subsumption_resolution,[],[f3798,f3773]) ).
fof(f3800,plain,
spl7_3,
inference(avatar_contradiction_clause,[],[f3799]) ).
fof(f3802,plain,
( ! [X0] :
( ~ c_lessequals(sF1,X0,t_b)
| c_lessequals(sF4,X0,t_b) )
| ~ spl7_3 ),
inference(forward_subsumption_resolution,[],[f3783,f3772]) ).
fof(f3815,definition,
( spl7_8
<=> class_OrderedGroup_Opordered__ab__group__add(t_b) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f3816,plain,
( class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f3815]) ).
fof(f3817,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| spl7_8 ),
inference(avatar_component_clause,[],[f3815]) ).
fof(f3836,plain,
( c_lessequals(c_0,sF6,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(superposition,[],[f1425,f3627]) ).
fof(f3838,definition,
( spl7_12
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
fof(f3839,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f3838]) ).
fof(f3840,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl7_12 ),
inference(avatar_component_clause,[],[f3838]) ).
fof(f3842,definition,
( spl7_13
<=> c_lessequals(c_0,sF6,t_b) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
fof(f3844,plain,
( c_lessequals(c_0,sF6,t_b)
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f3842]) ).
fof(f3845,plain,
( ~ spl7_12
| spl7_13 ),
inference(avatar_split_clause,[],[f3836,f3842,f3838]) ).
fof(f3847,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f3044,f3393]) ).
fof(f3848,plain,
( $false
| spl7_12 ),
inference(forward_subsumption_resolution,[],[f3847,f3840]) ).
fof(f3849,plain,
spl7_12,
inference(avatar_contradiction_clause,[],[f3848]) ).
fof(f3850,plain,
( ! [X0] :
( ~ c_lessequals(sF6,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,X0,t_b) )
| ~ spl7_13 ),
inference(resolution,[],[f3844,f3388]) ).
fof(f3851,plain,
( ! [X0] :
( ~ c_lessequals(sF6,X0,t_b)
| c_lessequals(c_0,X0,t_b) )
| ~ spl7_3
| ~ spl7_13 ),
inference(forward_subsumption_resolution,[],[f3850,f3772]) ).
fof(f3862,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f3025,f3393]) ).
fof(f3863,plain,
( $false
| spl7_5 ),
inference(forward_subsumption_resolution,[],[f3862,f3789]) ).
fof(f3864,plain,
spl7_5,
inference(avatar_contradiction_clause,[],[f3863]) ).
fof(f3868,plain,
( ! [X0] :
( c_lessequals(sF3,X0,t_b)
| ~ c_lessequals(c_0,X0,t_b)
| c_less(X0,sF2,t_b)
| ~ class_Orderings_Olinorder(t_b) )
| ~ spl7_6 ),
inference(resolution,[],[f3792,f3386]) ).
fof(f3869,plain,
( c_lessequals(sF3,sF2,t_b)
| ~ c_lessequals(c_0,sF2,t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ spl7_6 ),
inference(resolution,[],[f3792,f2262]) ).
fof(f3870,plain,
( c_lessequals(sF3,sF2,t_b)
| ~ c_lessequals(c_0,sF2,t_b)
| ~ spl7_3
| ~ spl7_6 ),
inference(forward_subsumption_resolution,[],[f3869,f3772]) ).
fof(f3871,plain,
( ! [X0] :
( ~ c_lessequals(c_0,X0,t_b)
| c_lessequals(sF3,X0,t_b)
| c_less(X0,sF2,t_b) )
| ~ spl7_5
| ~ spl7_6 ),
inference(forward_subsumption_resolution,[],[f3868,f3788]) ).
fof(f3873,definition,
( spl7_14
<=> c_lessequals(c_0,sF2,t_b) ),
introduced(definition,[new_symbols(definition,[spl7_14])],[avatar_definition]) ).
fof(f3874,plain,
( c_lessequals(c_0,sF2,t_b)
| ~ spl7_14 ),
inference(avatar_component_clause,[],[f3873]) ).
fof(f3875,plain,
( ~ c_lessequals(c_0,sF2,t_b)
| spl7_14 ),
inference(avatar_component_clause,[],[f3873]) ).
fof(f3877,definition,
( spl7_15
<=> c_lessequals(sF3,sF2,t_b) ),
introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition]) ).
fof(f3879,plain,
( c_lessequals(sF3,sF2,t_b)
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f3877]) ).
fof(f3880,plain,
( ~ spl7_14
| spl7_15
| ~ spl7_3
| ~ spl7_6 ),
inference(avatar_split_clause,[],[f3870,f3791,f3771,f3877,f3873]) ).
fof(f3887,plain,
( c_lessequals(sF3,sF6,t_b)
| c_less(sF6,sF2,t_b)
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13 ),
inference(resolution,[],[f3871,f3844]) ).
fof(f3894,plain,
( c_less(sF6,sF2,t_b)
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13 ),
inference(forward_subsumption_resolution,[],[f3887,f3628]) ).
fof(f3913,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF6,sF2,t_b)
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13 ),
inference(resolution,[],[f3894,f3389]) ).
fof(f3914,plain,
( c_lessequals(sF6,sF2,t_b)
| ~ spl7_3
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13 ),
inference(forward_subsumption_resolution,[],[f3913,f3772]) ).
fof(f3928,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[],[f3032,f3393]) ).
fof(f3942,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[],[f3048,f3393]) ).
fof(f3943,plain,
( $false
| spl7_8 ),
inference(forward_subsumption_resolution,[],[f3942,f3817]) ).
fof(f3944,plain,
spl7_8,
inference(avatar_contradiction_clause,[],[f3943]) ).
fof(f3978,plain,
( c_lessequals(c_0,sF2,t_b)
| ~ spl7_3
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13 ),
inference(resolution,[],[f3851,f3914]) ).
fof(f3983,plain,
( $false
| ~ spl7_3
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13
| spl7_14 ),
inference(forward_subsumption_resolution,[],[f3978,f3875]) ).
fof(f3984,plain,
( ~ spl7_3
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13
| spl7_14 ),
inference(avatar_contradiction_clause,[],[f3983]) ).
fof(f3987,plain,
( ! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF3,X0,t_b) )
| ~ spl7_15 ),
inference(resolution,[],[f3879,f3388]) ).
fof(f3988,plain,
( ! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| c_lessequals(sF3,X0,t_b) )
| ~ spl7_3
| ~ spl7_15 ),
inference(forward_subsumption_resolution,[],[f3987,f3772]) ).
fof(f4029,plain,
! [X0] :
( ~ c_lessequals(X0,sF2,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_plus(X0,sF1,t_b),sF0,t_b) ),
inference(superposition,[],[f3381,f3619]) ).
fof(f4032,plain,
( ! [X0] :
( c_lessequals(c_plus(X0,sF1,t_b),sF0,t_b)
| ~ c_lessequals(X0,sF2,t_b) )
| ~ spl7_8 ),
inference(forward_subsumption_resolution,[],[f4029,f3816]) ).
fof(f4138,plain,
! [X0] : c_0 = c_minus(X0,X0,t_b),
inference(resolution,[],[f3928,f1461]) ).
fof(f4139,plain,
! [X2,X0,X1] : c_minus(c_minus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_plus(X1,X2,t_b),t_b),
inference(resolution,[],[f3928,f3372]) ).
fof(f4140,plain,
! [X0,X1] : c_plus(c_minus(X0,X1,t_b),X1,t_b) = X0,
inference(resolution,[],[f3928,f3365]) ).
fof(f4141,plain,
! [X0] : c_minus(sF0,c_plus(sF1,X0,t_b),t_b) = c_minus(sF2,X0,t_b),
inference(superposition,[],[f4139,f3619]) ).
fof(f4142,plain,
! [X0] : c_minus(sF0,c_plus(sF4,X0,t_b),t_b) = c_minus(sF5,X0,t_b),
inference(superposition,[],[f4139,f3625]) ).
fof(f4152,plain,
! [X2,X0,X1] : c_minus(X0,X1,t_b) = c_plus(c_minus(X0,c_plus(X1,X2,t_b),t_b),X2,t_b),
inference(superposition,[],[f4140,f4139]) ).
fof(f4153,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X2,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_minus(X0,X1,t_b),c_minus(X2,X1,t_b),t_b) ),
inference(superposition,[],[f3382,f4140]) ).
fof(f4156,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_minus(X0,X1,t_b),c_minus(X2,X1,t_b),t_b)
| ~ c_lessequals(X0,X2,t_b) )
| ~ spl7_8 ),
inference(forward_subsumption_resolution,[],[f4153,f3816]) ).
fof(f4175,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(superposition,[],[f4140,f4138]) ).
fof(f4193,plain,
( c_lessequals(sF1,sF0,t_b)
| ~ c_lessequals(c_0,sF2,t_b)
| ~ spl7_8 ),
inference(superposition,[],[f4032,f4175]) ).
fof(f4196,definition,
( spl7_28
<=> c_lessequals(c_0,sF5,t_b) ),
introduced(definition,[new_symbols(definition,[spl7_28])],[avatar_definition]) ).
fof(f4197,plain,
( c_lessequals(c_0,sF5,t_b)
| ~ spl7_28 ),
inference(avatar_component_clause,[],[f4196]) ).
fof(f4198,plain,
( ~ c_lessequals(c_0,sF5,t_b)
| spl7_28 ),
inference(avatar_component_clause,[],[f4196]) ).
fof(f4200,definition,
( spl7_29
<=> c_lessequals(sF4,sF0,t_b) ),
introduced(definition,[new_symbols(definition,[spl7_29])],[avatar_definition]) ).
fof(f4201,plain,
( ~ c_lessequals(sF4,sF0,t_b)
| spl7_29 ),
inference(avatar_component_clause,[],[f4200]) ).
fof(f4204,plain,
( c_lessequals(sF1,sF0,t_b)
| ~ spl7_8
| ~ spl7_14 ),
inference(forward_subsumption_resolution,[],[f4193,f3874]) ).
fof(f4214,plain,
( ! [X0] :
( c_lessequals(c_minus(X0,sF4,t_b),sF5,t_b)
| ~ c_lessequals(X0,sF0,t_b) )
| ~ spl7_8 ),
inference(superposition,[],[f4156,f3625]) ).
fof(f4216,plain,
( ! [X0,X1] :
( c_lessequals(c_minus(X0,X1,t_b),c_0,t_b)
| ~ c_lessequals(X0,X1,t_b) )
| ~ spl7_8 ),
inference(superposition,[],[f4156,f4138]) ).
fof(f4223,plain,
! [X0] : sF0 = c_plus(c_minus(sF5,X0,t_b),c_plus(sF4,X0,t_b),t_b),
inference(superposition,[],[f4140,f4142]) ).
fof(f4264,plain,
( c_lessequals(c_0,sF5,t_b)
| ~ c_lessequals(sF4,sF0,t_b)
| ~ spl7_8 ),
inference(superposition,[],[f4214,f4138]) ).
fof(f4265,plain,
( ~ c_lessequals(sF4,sF0,t_b)
| ~ spl7_8
| spl7_28 ),
inference(forward_subsumption_resolution,[],[f4264,f4198]) ).
fof(f4269,plain,
( ~ spl7_29
| ~ spl7_8
| spl7_28 ),
inference(avatar_split_clause,[],[f4265,f4196,f3815,f4200]) ).
fof(f4276,plain,
( c_lessequals(sF4,sF0,t_b)
| ~ spl7_3
| ~ spl7_8
| ~ spl7_14 ),
inference(resolution,[],[f4204,f3802]) ).
fof(f4281,plain,
( $false
| ~ spl7_3
| ~ spl7_8
| ~ spl7_14
| spl7_29 ),
inference(forward_subsumption_resolution,[],[f4276,f4201]) ).
fof(f4282,plain,
( ~ spl7_3
| ~ spl7_8
| ~ spl7_14
| spl7_29 ),
inference(avatar_contradiction_clause,[],[f4281]) ).
fof(f4288,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| sF5 = c_HOL_Oabs(sF5,t_b)
| ~ spl7_28 ),
inference(resolution,[],[f4197,f1434]) ).
fof(f4293,plain,
( sF5 = c_HOL_Oabs(sF5,t_b)
| ~ spl7_12
| ~ spl7_28 ),
inference(forward_subsumption_resolution,[],[f4288,f3839]) ).
fof(f4299,definition,
( spl7_31
<=> c_lessequals(sF3,sF5,t_b) ),
introduced(definition,[new_symbols(definition,[spl7_31])],[avatar_definition]) ).
fof(f4300,plain,
( ~ c_lessequals(sF3,sF5,t_b)
| spl7_31 ),
inference(avatar_component_clause,[],[f4299]) ).
fof(f4303,plain,
( sF5 = sF6
| ~ spl7_12
| ~ spl7_28 ),
inference(forward_demodulation,[],[f4293,f3627]) ).
fof(f4304,plain,
( ~ c_lessequals(sF3,sF5,t_b)
| ~ spl7_12
| ~ spl7_28 ),
inference(superposition,[],[f3628,f4303]) ).
fof(f4315,plain,
( ~ spl7_31
| ~ spl7_12
| ~ spl7_28 ),
inference(avatar_split_clause,[],[f4304,f4196,f3838,f4299]) ).
fof(f4778,plain,
sF0 = c_plus(c_0,c_plus(sF4,sF5,t_b),t_b),
inference(superposition,[],[f4223,f4138]) ).
fof(f4781,plain,
sF0 = c_plus(sF4,sF5,t_b),
inference(forward_demodulation,[],[f4778,f4175]) ).
fof(f4874,plain,
! [X2,X0,X1] : c_plus(c_minus(X0,X1,t_b),X2,t_b) = c_minus(c_plus(X0,X2,t_b),X1,t_b),
inference(resolution,[],[f3371,f3928]) ).
fof(f4881,plain,
! [X0] : c_minus(sF0,X0,t_b) = c_plus(c_minus(sF4,X0,t_b),sF5,t_b),
inference(superposition,[],[f4874,f4781]) ).
fof(f6025,plain,
! [X0] : c_minus(sF4,X0,t_b) = c_minus(sF0,c_plus(X0,sF5,t_b),t_b),
inference(superposition,[],[f4881,f4152]) ).
fof(f6865,definition,
( spl7_67
<=> c_lessequals(sF2,sF5,t_b) ),
introduced(definition,[new_symbols(definition,[spl7_67])],[avatar_definition]) ).
fof(f6866,plain,
( ~ c_lessequals(sF2,sF5,t_b)
| spl7_67 ),
inference(avatar_component_clause,[],[f6865]) ).
fof(f6867,plain,
( c_lessequals(sF2,sF5,t_b)
| ~ spl7_67 ),
inference(avatar_component_clause,[],[f6865]) ).
fof(f7248,plain,
c_minus(sF2,sF5,t_b) = c_minus(sF4,sF1,t_b),
inference(superposition,[],[f4141,f6025]) ).
fof(f7304,plain,
( c_lessequals(c_minus(sF2,sF5,t_b),c_0,t_b)
| ~ c_lessequals(sF4,sF1,t_b)
| ~ spl7_8 ),
inference(superposition,[],[f4216,f7248]) ).
fof(f7318,plain,
( c_lessequals(c_minus(sF2,sF5,t_b),c_0,t_b)
| ~ spl7_8 ),
inference(forward_subsumption_resolution,[],[f7304,f3781]) ).
fof(f7368,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(sF2,sF5,t_b)
| ~ spl7_8 ),
inference(resolution,[],[f7318,f1454]) ).
fof(f7384,plain,
( c_lessequals(sF2,sF5,t_b)
| ~ spl7_8 ),
inference(forward_subsumption_resolution,[],[f7368,f3816]) ).
fof(f7390,plain,
( $false
| ~ spl7_8
| spl7_67 ),
inference(forward_subsumption_resolution,[],[f7384,f6866]) ).
fof(f7391,plain,
( ~ spl7_8
| spl7_67 ),
inference(avatar_contradiction_clause,[],[f7390]) ).
fof(f7393,plain,
( c_lessequals(sF3,sF5,t_b)
| ~ spl7_3
| ~ spl7_15
| ~ spl7_67 ),
inference(resolution,[],[f6867,f3988]) ).
fof(f7411,plain,
( $false
| ~ spl7_3
| ~ spl7_15
| spl7_31
| ~ spl7_67 ),
inference(forward_subsumption_resolution,[],[f7393,f4300]) ).
fof(f7412,plain,
( ~ spl7_3
| ~ spl7_15
| spl7_31
| ~ spl7_67 ),
inference(avatar_contradiction_clause,[],[f7411]) ).
cnf(s5,plain,
( ~ spl7_5
| spl7_6 ),
inference(sat_conversion,[],[f3793]) ).
cnf(s6,plain,
spl7_3,
inference(sat_conversion,[],[f3800]) ).
cnf(s9,plain,
( ~ spl7_12
| spl7_13 ),
inference(sat_conversion,[],[f3845]) ).
cnf(s10,plain,
spl7_12,
inference(sat_conversion,[],[f3849]) ).
cnf(s11,plain,
spl7_5,
inference(sat_conversion,[],[f3864]) ).
cnf(s12,plain,
( ~ spl7_3
| ~ spl7_6
| ~ spl7_14
| spl7_15 ),
inference(sat_conversion,[],[f3880]) ).
cnf(s15,plain,
spl7_8,
inference(sat_conversion,[],[f3944]) ).
cnf(s16,plain,
( ~ spl7_3
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13
| spl7_14 ),
inference(sat_conversion,[],[f3984]) ).
cnf(s24,plain,
( ~ spl7_8
| spl7_28
| ~ spl7_29 ),
inference(sat_conversion,[],[f4269]) ).
cnf(s26,plain,
( ~ spl7_3
| ~ spl7_8
| ~ spl7_14
| spl7_29 ),
inference(sat_conversion,[],[f4282]) ).
cnf(s28,plain,
( ~ spl7_12
| ~ spl7_28
| ~ spl7_31 ),
inference(sat_conversion,[],[f4315]) ).
cnf(s78,plain,
( ~ spl7_8
| spl7_67 ),
inference(sat_conversion,[],[f7391]) ).
cnf(s79,plain,
( ~ spl7_3
| ~ spl7_15
| spl7_31
| ~ spl7_67 ),
inference(sat_conversion,[],[f7412]) ).
cnf(s81,plain,
spl7_67,
inference(rat,[],[s78,s15]) ).
cnf(s83,plain,
spl7_13,
inference(rat,[],[s9,s10]) ).
cnf(s88,plain,
spl7_6,
inference(rat,[],[s5,s11]) ).
cnf(s91,plain,
spl7_14,
inference(rat,[],[s16,s6,s83,s11,s88]) ).
cnf(s93,plain,
spl7_29,
inference(rat,[],[s26,s6,s15,s91]) ).
cnf(s94,plain,
spl7_15,
inference(rat,[],[s12,s88,s6,s91]) ).
cnf(s95,plain,
spl7_28,
inference(rat,[],[s24,s15,s93]) ).
cnf(s96,plain,
spl7_31,
inference(rat,[],[s79,s81,s6,s94]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s28,s10,s96,s95]) ).
fof(f7415,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA026-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n008.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:30:39 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.40/2.21 % (2594030)Input is clausal, will run a generic CNF schedule.
% 10.40/2.21 % (2594039)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4212120611:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.40/2.21 % (2594039)Instruction limit reached!
% 10.40/2.21 % (2594039)------------------------------
% 10.40/2.21 % (2594039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.21 % (2594039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.21 % (2594039)CaDiCaL version: 2.1.3
% 10.40/2.21 % (2594039)Termination reason: Instruction limit
% 10.40/2.21 % (2594039)Termination phase: Saturation
% 10.40/2.21 % (2594039)Time elapsed: 0.039 s
% 10.40/2.21 % (2594039)Peak memory usage: 91 MB
% 10.40/2.21 % (2594039)Instructions burned: 114 (million)
% 10.40/2.21 % (2594038)lrs+10_1_sil=8000:sp=occurrence:random_seed=833165540:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.40/2.21 % (2594036)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=59266336:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.40/2.22 % (2594035)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=767961546:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.40/2.22 % (2594037)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3016269028:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.40/2.22 % (2594040)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1478150725:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.40/2.22 % (2594041)dis-21_1_sil=8000:lcm=predicate:random_seed=2509634054:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.40/2.22 % (2594041)Instruction limit reached!
% 10.40/2.22 % (2594041)------------------------------
% 10.40/2.22 % (2594041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.22 % (2594041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.22 % (2594041)CaDiCaL version: 2.1.3
% 10.40/2.22 % (2594041)Termination reason: Instruction limit
% 10.40/2.22 % (2594041)Termination phase: Saturation
% 10.40/2.22 % (2594041)Time elapsed: 0.059 s
% 10.40/2.22 % (2594041)Peak memory usage: 90 MB
% 10.40/2.22 % (2594041)Instructions burned: 117 (million)
% 10.40/2.22 % (2594038)Instruction limit reached!
% 10.40/2.22 % (2594038)------------------------------
% 10.40/2.22 % (2594038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.22 % (2594038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.22 % (2594038)CaDiCaL version: 2.1.3
% 10.40/2.22 % (2594038)Termination reason: Instruction limit
% 10.40/2.22 % (2594038)Termination phase: Saturation
% 10.40/2.22 % (2594038)Time elapsed: 0.075 s
% 10.40/2.22 % (2594038)Peak memory usage: 91 MB
% 10.40/2.22 % (2594038)Instructions burned: 107 (million)
% 10.40/2.22 % (2594047)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=11473710:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.40/2.22 % (2594047)Refutation not found, incomplete strategy
% 10.40/2.22 % (2594047)------------------------------
% 10.40/2.22 % (2594047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.22 % (2594047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.22 % (2594047)CaDiCaL version: 2.1.3
% 10.40/2.22 % (2594047)Termination reason: Refutation not found, incomplete strategy
% 10.40/2.22 % (2594047)Time elapsed: 0.009 s
% 10.40/2.22 % (2594047)Peak memory usage: 90 MB
% 10.40/2.22 % (2594047)Instructions burned: 23 (million)
% 10.40/2.22 % (2594040)Instruction limit reached!
% 10.40/2.22 % (2594040)------------------------------
% 10.40/2.22 % (2594040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/2.22 % (2594040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.22 % (2594040)CaDiCaL version: 2.1.3
% 10.40/2.22 % (2594040)Termination reason: Instruction limit
% 10.40/2.22 % (2594040)Termination phase: Saturation
% 10.40/2.22 % (2594040)Time elapsed: 0.122 s
% 10.40/2.22 % (2594040)Peak memory usage: 91 MB
% 10.40/2.22 % (2594040)Instructions burned: 180 (million)
% 10.40/2.22 % (2594050)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2695172731:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 12.85/2.68 % (2594051)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2352063267:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 12.85/2.68 % (2594047)------------------------------
% 12.85/2.68 % (2594047)------------------------------
% 12.85/2.68 % (2594053)lrs+10_64_to=lpo:sil=8000:random_seed=1564640420:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 12.85/2.68 % (2594050)Instruction limit reached!
% 12.85/2.68 % (2594050)------------------------------
% 12.85/2.68 % (2594050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.68 % (2594050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.68 % (2594050)CaDiCaL version: 2.1.3
% 12.85/2.68 % (2594050)Termination reason: Instruction limit
% 12.85/2.68 % (2594050)Termination phase: Saturation
% 12.85/2.68 % (2594050)Time elapsed: 0.112 s
% 12.85/2.68 % (2594050)Peak memory usage: 92 MB
% 12.85/2.68 % (2594050)Instructions burned: 190 (million)
% 12.85/2.68 % (2594053)Instruction limit reached!
% 12.85/2.68 % (2594053)------------------------------
% 12.85/2.68 % (2594053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.68 % (2594053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.68 % (2594053)CaDiCaL version: 2.1.3
% 12.85/2.68 % (2594053)Termination reason: Instruction limit
% 12.85/2.68 % (2594053)Termination phase: Saturation
% 12.85/2.68 % (2594053)Time elapsed: 0.074 s
% 12.85/2.68 % (2594053)Peak memory usage: 92 MB
% 12.85/2.68 % (2594053)Instructions burned: 127 (million)
% 12.85/2.68 % (2594051)Instruction limit reached!
% 12.85/2.68 % (2594051)------------------------------
% 12.85/2.68 % (2594051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.68 % (2594051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.68 % (2594051)CaDiCaL version: 2.1.3
% 12.85/2.68 % (2594051)Termination reason: Instruction limit
% 12.85/2.68 % (2594051)Termination phase: Saturation
% 12.85/2.68 % (2594051)Time elapsed: 0.141 s
% 12.85/2.68 % (2594051)Peak memory usage: 92 MB
% 12.85/2.68 % (2594051)Instructions burned: 220 (million)
% 12.85/2.68 % (2594056)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=178025775:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 12.85/2.68 % (2594056)Instruction limit reached!
% 12.85/2.68 % (2594056)------------------------------
% 12.85/2.68 % (2594056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.68 % (2594056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.68 % (2594056)CaDiCaL version: 2.1.3
% 12.85/2.68 % (2594056)Termination reason: Instruction limit
% 12.85/2.68 % (2594056)Termination phase: Saturation
% 12.85/2.68 % (2594056)Time elapsed: 0.061 s
% 12.85/2.68 % (2594056)Peak memory usage: 92 MB
% 12.85/2.68 % (2594056)Instructions burned: 196 (million)
% 12.85/2.68 % (2594058)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4113498881:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 12.85/2.68 % (2594059)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1021366482:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 12.85/2.68 % (2594060)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1617797858:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 12.85/2.68 % (2594062)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2123065545:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 12.85/2.68 % (2594060)Instruction limit reached!
% 12.85/2.68 % (2594060)------------------------------
% 12.85/2.68 % (2594060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.68 % (2594060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.68 % (2594060)CaDiCaL version: 2.1.3
% 12.85/2.68 % (2594060)Termination reason: Instruction limit
% 12.85/2.68 % (2594060)Termination phase: Saturation
% 12.85/2.68 % (2594060)Time elapsed: 0.062 s
% 12.85/2.68 % (2594060)Peak memory usage: 90 MB
% 12.85/2.68 % (2594060)Instructions burned: 107 (million)
% 12.85/2.68 % (2594058)Instruction limit reached!
% 12.85/2.68 % (2594058)------------------------------
% 12.85/2.68 % (2594058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.68 % (2594058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.68 % (2594058)CaDiCaL version: 2.1.3
% 12.85/2.68 % (2594058)Termination reason: Instruction limit
% 12.85/2.68 % (2594058)Termination phase: Saturation
% 12.85/2.68 % (2594058)Time elapsed: 0.083 s
% 12.85/2.68 % (2594058)Peak memory usage: 92 MB
% 12.85/2.68 % (2594058)Instructions burned: 157 (million)
% 12.85/2.68 % (2594062)Instruction limit reached!
% 12.85/2.68 % (2594062)------------------------------
% 12.85/2.68 % (2594062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.68 % (2594062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.68 % (2594062)CaDiCaL version: 2.1.3
% 12.85/2.68 % (2594062)Termination reason: Instruction limit
% 12.85/2.68 % (2594062)Termination phase: Saturation
% 12.85/2.68 % (2594062)Time elapsed: 0.037 s
% 12.85/2.68 % (2594062)Peak memory usage: 92 MB
% 12.85/2.68 % (2594062)Instructions burned: 108 (million)
% 12.85/2.68 % (2594068)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3041849330:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 12.85/2.68 % (2594067)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2213968467:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 12.85/2.68 % (2594069)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=384170791:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 12.85/2.68 % (2594069)Instruction limit reached!
% 12.85/2.68 % (2594069)------------------------------
% 12.85/2.68 % (2594069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.68 % (2594069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.68 % (2594069)CaDiCaL version: 2.1.3
% 12.85/2.68 % (2594069)Termination reason: Instruction limit
% 12.85/2.68 % (2594069)Termination phase: Saturation
% 12.85/2.68 % (2594069)Time elapsed: 0.048 s
% 12.85/2.68 % (2594069)Peak memory usage: 91 MB
% 12.85/2.68 % (2594069)Instructions burned: 136 (million)
% 12.85/2.68 % (2594067)Instruction limit reached!
% 12.85/2.68 % (2594067)------------------------------
% 12.85/2.68 % (2594067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.68 % (2594067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.68 % (2594067)CaDiCaL version: 2.1.3
% 12.85/2.68 % (2594067)Termination reason: Instruction limit
% 12.85/2.68 % (2594067)Termination phase: Saturation
% 12.85/2.68 % (2594067)Time elapsed: 0.128 s
% 12.85/2.68 % (2594067)Peak memory usage: 91 MB
% 12.85/2.68 % (2594067)Instructions burned: 242 (million)
% 12.85/2.68 % (2594073)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2288553037:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 12.85/2.68 % (2594074)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3210530630:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 12.85/2.68 % (2594073)Instruction limit reached!
% 12.85/2.68 % (2594073)------------------------------
% 12.85/2.68 % (2594073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.68 % (2594073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.68 % (2594073)CaDiCaL version: 2.1.3
% 12.85/2.68 % (2594073)Termination reason: Instruction limit
% 12.85/2.68 % (2594073)Termination phase: Saturation
% 12.85/2.68 % (2594073)Time elapsed: 0.192 s
% 12.85/2.68 % (2594073)Peak memory usage: 100 MB
% 12.85/2.68 % (2594073)Instructions burned: 501 (million)
% 12.85/2.68 % (2594074)Instruction limit reached!
% 12.85/2.68 % (2594074)------------------------------
% 12.85/2.68 % (2594074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.68 % (2594074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.68 % (2594074)CaDiCaL version: 2.1.3
% 12.85/2.68 % (2594074)Termination reason: Instruction limit
% 12.85/2.68 % (2594074)Termination phase: Saturation
% 12.85/2.68 % (2594074)Time elapsed: 0.113 s
% 12.85/2.68 % (2594074)Peak memory usage: 92 MB
% 12.85/2.68 % (2594074)Instructions burned: 192 (million)
% 12.85/2.68 % (2594077)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2538272333:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 12.85/2.68 % (2594078)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2358826128:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 12.85/2.68 % (2594077)Instruction limit reached!
% 12.85/2.68 % (2594077)------------------------------
% 12.85/2.68 % (2594077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.68 % (2594077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.68 % (2594077)CaDiCaL version: 2.1.3
% 12.85/2.68 % (2594077)Termination reason: Instruction limit
% 12.85/2.68 % (2594077)Termination phase: Saturation
% 12.85/2.68 % (2594077)Time elapsed: 0.062 s
% 12.85/2.68 % (2594077)Peak memory usage: 94 MB
% 12.85/2.68 % (2594077)Instructions burned: 265 (million)
% 12.85/2.68 % (2594078)Instruction limit reached!
% 12.85/2.68 % (2594078)------------------------------
% 12.85/2.68 % (2594078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.68 % (2594078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.68 % (2594078)CaDiCaL version: 2.1.3
% 12.85/2.68 % (2594078)Termination reason: Instruction limit
% 12.85/2.68 % (2594078)Termination phase: Saturation
% 12.85/2.68 % (2594078)Time elapsed: 0.083 s
% 12.85/2.68 % (2594078)Peak memory usage: 91 MB
% 12.85/2.68 % (2594078)Instructions burned: 157 (million)
% 12.85/2.68 % (2594081)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3094651915:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 12.85/2.68 % (2594035)First to succeed.
% 12.85/2.68 % (2594035)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2594030"
% 12.85/2.68 % (2594082)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1118400093:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 12.85/2.68 % (2594035)Refutation found. Thanks to Tanya!
% 12.85/2.68 % SZS status Unsatisfiable for theBenchmark
% 12.85/2.68 % SZS output start Proof for theBenchmark
% See solution above
% 14.06/2.77 % (2594035)------------------------------
% 14.06/2.77 % (2594035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.06/2.77 % (2594035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.77 % (2594035)CaDiCaL version: 2.1.3
% 14.06/2.77 % (2594035)Termination reason: Refutation
% 14.06/2.77 % (2594035)Time elapsed: 1.478 s
% 14.06/2.77 % (2594035)Peak memory usage: 157 MB
% 14.06/2.77 % (2594035)Instructions burned: 2339 (million)
% 14.06/2.77 % (2594035)------------------------------
% 14.06/2.77 % (2594035)------------------------------
% 14.06/2.77 % (2594030)Success in time 1.999 s
% 14.06/2.77 % Vampire exiting
%------------------------------------------------------------------------------