%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA022-1 : 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 09:30:54 AM UTC 2026
% Result : Unsatisfiable 9.94s 2.30s
% Output : Refutation 9.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 30
% Syntax : Number of formulae : 110 ( 39 unt; 14 def)
% Number of atoms : 265 ( 20 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 300 ( 145 ~; 148 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 8 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-3 aty)
% Number of variables : 49 ( 0 sgn 49 !; 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(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(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(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_k(X0),v_f(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_k(v_x),v_g(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_k(v_x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f3615,plain,
v_k(v_x) = sF0,
inference(reorient_equations,[],[f3614]) ).
fof(f3616,definition,
sF1 = v_g(v_x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f3617,plain,
v_g(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_f(v_x),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f3623,plain,
v_f(v_x) = sF4,
inference(reorient_equations,[],[f3622]) ).
fof(f3624,definition,
sF5 = c_minus(sF4,sF1,t_b),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f3625,plain,
c_minus(sF4,sF1,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,f3617,f3623,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_k(v_x),sF4,t_b),
inference(superposition,[],[f3391,f3623]) ).
fof(f3781,plain,
c_lessequals(sF0,sF4,t_b),
inference(forward_demodulation,[],[f3780,f3615]) ).
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(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(f3837,plain,
( c_lessequals(c_0,sF6,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(superposition,[],[f1425,f3627]) ).
fof(f3839,definition,
( spl7_12
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
fof(f3840,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f3839]) ).
fof(f3841,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl7_12 ),
inference(avatar_component_clause,[],[f3839]) ).
fof(f3843,definition,
( spl7_13
<=> c_lessequals(c_0,sF6,t_b) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
fof(f3845,plain,
( c_lessequals(c_0,sF6,t_b)
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f3843]) ).
fof(f3846,plain,
( ~ spl7_12
| spl7_13 ),
inference(avatar_split_clause,[],[f3837,f3843,f3839]) ).
fof(f3848,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f3044,f3393]) ).
fof(f3849,plain,
( $false
| spl7_12 ),
inference(forward_subsumption_resolution,[],[f3848,f3841]) ).
fof(f3850,plain,
spl7_12,
inference(avatar_contradiction_clause,[],[f3849]) ).
fof(f3851,plain,
( ! [X0] :
( ~ c_lessequals(sF6,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,X0,t_b) )
| ~ spl7_13 ),
inference(resolution,[],[f3845,f3388]) ).
fof(f3852,plain,
( ! [X0] :
( ~ c_lessequals(sF6,X0,t_b)
| c_lessequals(c_0,X0,t_b) )
| ~ spl7_3
| ~ spl7_13 ),
inference(forward_subsumption_resolution,[],[f3851,f3772]) ).
fof(f3863,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f3025,f3393]) ).
fof(f3864,plain,
( $false
| spl7_5 ),
inference(forward_subsumption_resolution,[],[f3863,f3789]) ).
fof(f3865,plain,
spl7_5,
inference(avatar_contradiction_clause,[],[f3864]) ).
fof(f3869,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(f3872,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,[],[f3869,f3788]) ).
fof(f3888,plain,
( c_lessequals(sF3,sF6,t_b)
| c_less(sF6,sF2,t_b)
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13 ),
inference(resolution,[],[f3872,f3845]) ).
fof(f3895,plain,
( c_less(sF6,sF2,t_b)
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13 ),
inference(forward_subsumption_resolution,[],[f3888,f3628]) ).
fof(f3914,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF6,sF2,t_b)
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13 ),
inference(resolution,[],[f3895,f3389]) ).
fof(f3915,plain,
( c_lessequals(sF6,sF2,t_b)
| ~ spl7_3
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13 ),
inference(forward_subsumption_resolution,[],[f3914,f3772]) ).
fof(f3916,plain,
( ! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF6,X0,t_b) )
| ~ spl7_3
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13 ),
inference(resolution,[],[f3915,f3388]) ).
fof(f3917,plain,
( ! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| c_lessequals(sF6,X0,t_b) )
| ~ spl7_3
| ~ spl7_5
| ~ spl7_6
| ~ spl7_13 ),
inference(forward_subsumption_resolution,[],[f3916,f3772]) ).
fof(f3933,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[],[f3032,f3393]) ).
fof(f3947,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[],[f3048,f3393]) ).
fof(f3948,plain,
( $false
| spl7_8 ),
inference(forward_subsumption_resolution,[],[f3947,f3817]) ).
fof(f3949,plain,
spl7_8,
inference(avatar_contradiction_clause,[],[f3948]) ).
fof(f4168,plain,
! [X0,X1] : c_plus(c_minus(X0,X1,t_b),X1,t_b) = X0,
inference(resolution,[],[f3933,f3365]) ).
fof(f4181,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,f4168]) ).
fof(f4184,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,[],[f4181,f3816]) ).
fof(f4233,definition,
( spl7_32
<=> c_lessequals(c_0,sF5,t_b) ),
introduced(definition,[new_symbols(definition,[spl7_32])],[avatar_definition]) ).
fof(f4234,plain,
( c_lessequals(c_0,sF5,t_b)
| ~ spl7_32 ),
inference(avatar_component_clause,[],[f4233]) ).
fof(f4235,plain,
( ~ c_lessequals(c_0,sF5,t_b)
| spl7_32 ),
inference(avatar_component_clause,[],[f4233]) ).
fof(f4250,plain,
( ! [X0] :
( c_lessequals(c_minus(X0,sF1,t_b),sF5,t_b)
| ~ c_lessequals(X0,sF4,t_b) )
| ~ spl7_8 ),
inference(superposition,[],[f4184,f3625]) ).
fof(f4292,plain,
( c_lessequals(sF2,sF5,t_b)
| ~ c_lessequals(sF0,sF4,t_b)
| ~ spl7_8 ),
inference(superposition,[],[f4250,f3619]) ).
fof(f4298,plain,
( c_lessequals(sF2,sF5,t_b)
| ~ spl7_8 ),
inference(forward_subsumption_resolution,[],[f4292,f3781]) ).
fof(f4303,plain,
( c_lessequals(sF6,sF5,t_b)
| ~ spl7_3
| ~ spl7_5
| ~ spl7_6
| ~ spl7_8
| ~ spl7_13 ),
inference(resolution,[],[f4298,f3917]) ).
fof(f4304,plain,
( c_lessequals(sF3,sF5,t_b)
| ~ c_lessequals(c_0,sF5,t_b)
| ~ spl7_6
| ~ spl7_8 ),
inference(resolution,[],[f4298,f3792]) ).
fof(f4309,plain,
( c_lessequals(c_0,sF5,t_b)
| ~ spl7_3
| ~ spl7_5
| ~ spl7_6
| ~ spl7_8
| ~ spl7_13 ),
inference(resolution,[],[f4303,f3852]) ).
fof(f4314,plain,
( $false
| ~ spl7_3
| ~ spl7_5
| ~ spl7_6
| ~ spl7_8
| ~ spl7_13
| spl7_32 ),
inference(forward_subsumption_resolution,[],[f4309,f4235]) ).
fof(f4315,plain,
( ~ spl7_3
| ~ spl7_5
| ~ spl7_6
| ~ spl7_8
| ~ spl7_13
| spl7_32 ),
inference(avatar_contradiction_clause,[],[f4314]) ).
fof(f4316,plain,
( c_lessequals(sF3,sF5,t_b)
| ~ spl7_6
| ~ spl7_8
| ~ spl7_32 ),
inference(forward_subsumption_resolution,[],[f4304,f4234]) ).
fof(f4355,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| sF5 = c_HOL_Oabs(sF5,t_b)
| ~ spl7_32 ),
inference(resolution,[],[f4234,f1434]) ).
fof(f4360,plain,
( sF5 = c_HOL_Oabs(sF5,t_b)
| ~ spl7_12
| ~ spl7_32 ),
inference(forward_subsumption_resolution,[],[f4355,f3840]) ).
fof(f4361,plain,
( sF5 = sF6
| ~ spl7_12
| ~ spl7_32 ),
inference(forward_demodulation,[],[f4360,f3627]) ).
fof(f4362,plain,
( ~ c_lessequals(sF3,sF5,t_b)
| ~ spl7_12
| ~ spl7_32 ),
inference(superposition,[],[f3628,f4361]) ).
fof(f4379,plain,
( $false
| ~ spl7_6
| ~ spl7_8
| ~ spl7_12
| ~ spl7_32 ),
inference(forward_subsumption_resolution,[],[f4362,f4316]) ).
fof(f4380,plain,
( ~ spl7_6
| ~ spl7_8
| ~ spl7_12
| ~ spl7_32 ),
inference(avatar_contradiction_clause,[],[f4379]) ).
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,[],[f3846]) ).
cnf(s10,plain,
spl7_12,
inference(sat_conversion,[],[f3850]) ).
cnf(s11,plain,
spl7_5,
inference(sat_conversion,[],[f3865]) ).
cnf(s15,plain,
spl7_8,
inference(sat_conversion,[],[f3949]) ).
cnf(s27,plain,
( ~ spl7_3
| ~ spl7_5
| ~ spl7_6
| ~ spl7_8
| ~ spl7_13
| spl7_32 ),
inference(sat_conversion,[],[f4315]) ).
cnf(s31,plain,
( ~ spl7_6
| ~ spl7_8
| ~ spl7_12
| ~ spl7_32 ),
inference(sat_conversion,[],[f4380]) ).
cnf(s32,plain,
spl7_13,
inference(rat,[],[s9,s10]) ).
cnf(s35,plain,
spl7_6,
inference(rat,[],[s5,s11]) ).
cnf(s36,plain,
~ spl7_32,
inference(rat,[],[s31,s10,s15,s35]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s27,s6,s32,s15,s11,s36,s35]) ).
fof(f4381,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA022-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n008.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 20:30:09 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 9.59/2.10 % (2593101)Input is clausal, will run a generic CNF schedule.
% 9.59/2.10 % (2593109)lrs+10_1_sil=8000:sp=occurrence:random_seed=681904898:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.59/2.10 % (2593109)Instruction limit reached!
% 9.59/2.10 % (2593109)------------------------------
% 9.59/2.10 % (2593109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.10 % (2593109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.10 % (2593109)CaDiCaL version: 2.1.3
% 9.59/2.10 % (2593109)Termination reason: Instruction limit
% 9.59/2.10 % (2593109)Termination phase: Saturation
% 9.59/2.10 % (2593109)Time elapsed: 0.042 s
% 9.59/2.10 % (2593109)Peak memory usage: 91 MB
% 9.59/2.10 % (2593109)Instructions burned: 108 (million)
% 9.59/2.10 % (2593111)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3455574644:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.59/2.10 % (2593106)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=2588398626:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.59/2.10 % (2593108)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2915944339:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.59/2.10 % (2593110)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1503174126:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.59/2.10 % (2593107)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4121665275:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.59/2.10 % (2593112)dis-21_1_sil=8000:lcm=predicate:random_seed=568380677: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)
% 9.59/2.10 % (2593112)Instruction limit reached!
% 9.59/2.10 % (2593112)------------------------------
% 9.59/2.10 % (2593112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.10 % (2593112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.10 % (2593112)CaDiCaL version: 2.1.3
% 9.59/2.10 % (2593112)Termination reason: Instruction limit
% 9.59/2.10 % (2593112)Termination phase: Saturation
% 9.59/2.10 % (2593112)Time elapsed: 0.059 s
% 9.59/2.10 % (2593112)Peak memory usage: 90 MB
% 9.59/2.10 % (2593112)Instructions burned: 118 (million)
% 9.59/2.10 % (2593110)Instruction limit reached!
% 9.59/2.10 % (2593110)------------------------------
% 9.59/2.10 % (2593110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.10 % (2593110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.10 % (2593110)CaDiCaL version: 2.1.3
% 9.59/2.10 % (2593110)Termination reason: Instruction limit
% 9.59/2.10 % (2593110)Termination phase: Saturation
% 9.59/2.10 % (2593110)Time elapsed: 0.068 s
% 9.59/2.10 % (2593110)Peak memory usage: 90 MB
% 9.59/2.10 % (2593110)Instructions burned: 114 (million)
% 9.59/2.10 % (2593111)Instruction limit reached!
% 9.59/2.10 % (2593111)------------------------------
% 9.59/2.10 % (2593111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.10 % (2593111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.10 % (2593111)CaDiCaL version: 2.1.3
% 9.59/2.10 % (2593111)Termination reason: Instruction limit
% 9.59/2.10 % (2593111)Termination phase: Saturation
% 9.59/2.10 % (2593111)Time elapsed: 0.115 s
% 9.59/2.10 % (2593111)Peak memory usage: 91 MB
% 9.59/2.10 % (2593111)Instructions burned: 181 (million)
% 9.59/2.10 % (2593120)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=4136689053:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.59/2.10 % (2593120)Refutation not found, incomplete strategy
% 9.59/2.10 % (2593120)------------------------------
% 9.59/2.10 % (2593120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.10 % (2593120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.10 % (2593120)CaDiCaL version: 2.1.3
% 9.59/2.10 % (2593120)Termination reason: Refutation not found, incomplete strategy
% 9.59/2.10 % (2593120)Time elapsed: 0.009 s
% 9.59/2.10 % (2593120)Peak memory usage: 90 MB
% 9.59/2.10 % (2593120)Instructions burned: 23 (million)
% 9.59/2.10 % (2593121)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3449574197: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)
% 9.94/2.30 % (2593122)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2711524311:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 9.94/2.30 % (2593120)------------------------------
% 9.94/2.30 % (2593120)------------------------------
% 9.94/2.30 % (2593124)lrs+10_64_to=lpo:sil=8000:random_seed=649442774:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.94/2.30 % (2593121)Instruction limit reached!
% 9.94/2.30 % (2593121)------------------------------
% 9.94/2.30 % (2593121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.30 % (2593121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.30 % (2593121)CaDiCaL version: 2.1.3
% 9.94/2.30 % (2593121)Termination reason: Instruction limit
% 9.94/2.30 % (2593121)Termination phase: Saturation
% 9.94/2.30 % (2593121)Time elapsed: 0.111 s
% 9.94/2.30 % (2593121)Peak memory usage: 92 MB
% 9.94/2.30 % (2593121)Instructions burned: 190 (million)
% 9.94/2.30 % (2593124)Instruction limit reached!
% 9.94/2.30 % (2593124)------------------------------
% 9.94/2.30 % (2593124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.30 % (2593124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.30 % (2593124)CaDiCaL version: 2.1.3
% 9.94/2.30 % (2593124)Termination reason: Instruction limit
% 9.94/2.30 % (2593124)Termination phase: Saturation
% 9.94/2.30 % (2593124)Time elapsed: 0.073 s
% 9.94/2.30 % (2593124)Peak memory usage: 92 MB
% 9.94/2.30 % (2593124)Instructions burned: 127 (million)
% 9.94/2.30 % (2593122)Instruction limit reached!
% 9.94/2.30 % (2593122)------------------------------
% 9.94/2.30 % (2593122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.30 % (2593122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.30 % (2593122)CaDiCaL version: 2.1.3
% 9.94/2.30 % (2593122)Termination reason: Instruction limit
% 9.94/2.30 % (2593122)Termination phase: Saturation
% 9.94/2.30 % (2593122)Time elapsed: 0.141 s
% 9.94/2.30 % (2593122)Peak memory usage: 93 MB
% 9.94/2.30 % (2593122)Instructions burned: 221 (million)
% 9.94/2.30 % (2593127)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3695445183:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 9.94/2.30 % (2593127)Instruction limit reached!
% 9.94/2.30 % (2593127)------------------------------
% 9.94/2.30 % (2593127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.30 % (2593127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.30 % (2593127)CaDiCaL version: 2.1.3
% 9.94/2.30 % (2593127)Termination reason: Instruction limit
% 9.94/2.30 % (2593127)Termination phase: Saturation
% 9.94/2.30 % (2593127)Time elapsed: 0.060 s
% 9.94/2.30 % (2593127)Peak memory usage: 92 MB
% 9.94/2.30 % (2593127)Instructions burned: 194 (million)
% 9.94/2.30 % (2593129)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1950538547:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 9.94/2.30 % (2593130)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3569049167:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 9.94/2.30 % (2593131)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=1993379904:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 9.94/2.30 % (2593129)Instruction limit reached!
% 9.94/2.30 % (2593129)------------------------------
% 9.94/2.30 % (2593129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.30 % (2593129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.30 % (2593129)CaDiCaL version: 2.1.3
% 9.94/2.30 % (2593129)Termination reason: Instruction limit
% 9.94/2.30 % (2593129)Termination phase: Saturation
% 9.94/2.30 % (2593129)Time elapsed: 0.084 s
% 9.94/2.30 % (2593129)Peak memory usage: 92 MB
% 9.94/2.30 % (2593129)Instructions burned: 158 (million)
% 9.94/2.30 % (2593133)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2963747416:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 9.94/2.30 % (2593131)Instruction limit reached!
% 9.94/2.30 % (2593131)------------------------------
% 9.94/2.30 % (2593131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.30 % (2593131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.30 % (2593131)CaDiCaL version: 2.1.3
% 9.94/2.30 % (2593131)Termination reason: Instruction limit
% 9.94/2.30 % (2593131)Termination phase: Saturation
% 9.94/2.30 % (2593131)Time elapsed: 0.061 s
% 9.94/2.30 % (2593131)Peak memory usage: 90 MB
% 9.94/2.30 % (2593131)Instructions burned: 107 (million)
% 9.94/2.30 % (2593133)Instruction limit reached!
% 9.94/2.30 % (2593133)------------------------------
% 9.94/2.30 % (2593133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.30 % (2593133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.30 % (2593133)CaDiCaL version: 2.1.3
% 9.94/2.30 % (2593133)Termination reason: Instruction limit
% 9.94/2.30 % (2593133)Termination phase: Saturation
% 9.94/2.30 % (2593133)Time elapsed: 0.036 s
% 9.94/2.30 % (2593133)Peak memory usage: 92 MB
% 9.94/2.30 % (2593133)Instructions burned: 107 (million)
% 9.94/2.30 % (2593137)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=83371958:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 9.94/2.30 % (2593140)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2276589033:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 9.94/2.30 % (2593139)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=436032772:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 9.94/2.30 % (2593140)Instruction limit reached!
% 9.94/2.30 % (2593140)------------------------------
% 9.94/2.30 % (2593140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.30 % (2593140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.30 % (2593140)CaDiCaL version: 2.1.3
% 9.94/2.30 % (2593140)Termination reason: Instruction limit
% 9.94/2.30 % (2593140)Termination phase: Saturation
% 9.94/2.30 % (2593140)Time elapsed: 0.049 s
% 9.94/2.30 % (2593140)Peak memory usage: 91 MB
% 9.94/2.30 % (2593140)Instructions burned: 137 (million)
% 9.94/2.30 % (2593137)Instruction limit reached!
% 9.94/2.30 % (2593137)------------------------------
% 9.94/2.30 % (2593137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.30 % (2593137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.30 % (2593137)CaDiCaL version: 2.1.3
% 9.94/2.30 % (2593137)Termination reason: Instruction limit
% 9.94/2.30 % (2593137)Termination phase: Saturation
% 9.94/2.30 % (2593137)Time elapsed: 0.130 s
% 9.94/2.30 % (2593137)Peak memory usage: 91 MB
% 9.94/2.30 % (2593137)Instructions burned: 242 (million)
% 9.94/2.30 % (2593144)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=232108779:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 9.94/2.30 % (2593145)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4067565036:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 9.94/2.30 % (2593144)Instruction limit reached!
% 9.94/2.30 % (2593144)------------------------------
% 9.94/2.30 % (2593144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.30 % (2593144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.30 % (2593144)CaDiCaL version: 2.1.3
% 9.94/2.30 % (2593144)Termination reason: Instruction limit
% 9.94/2.30 % (2593144)Termination phase: Saturation
% 9.94/2.30 % (2593144)Time elapsed: 0.181 s
% 9.94/2.30 % (2593144)Peak memory usage: 99 MB
% 9.94/2.30 % (2593144)Instructions burned: 501 (million)
% 9.94/2.30 % (2593106)First to succeed.
% 9.94/2.30 % (2593106)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2593101"
% 9.94/2.30 % (2593145)Instruction limit reached!
% 9.94/2.30 % (2593145)------------------------------
% 9.94/2.30 % (2593145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.30 % (2593145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.30 % (2593145)CaDiCaL version: 2.1.3
% 9.94/2.30 % (2593145)Termination reason: Instruction limit
% 9.94/2.30 % (2593145)Termination phase: Saturation
% 9.94/2.30 % (2593145)Time elapsed: 0.114 s
% 9.94/2.30 % (2593145)Peak memory usage: 92 MB
% 9.94/2.30 % (2593145)Instructions burned: 192 (million)
% 9.94/2.30 % (2593108)Also succeeded, but the first one will report.
% 9.94/2.30 % (2593148)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2592007946:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 9.94/2.30 % (2593148)Instruction limit reached!
% 9.94/2.30 % (2593148)------------------------------
% 9.94/2.30 % (2593148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.30 % (2593148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.30 % (2593148)CaDiCaL version: 2.1.3
% 9.94/2.30 % (2593148)Termination reason: Instruction limit
% 9.94/2.30 % (2593148)Termination phase: Saturation
% 9.94/2.30 % (2593148)Time elapsed: 0.064 s
% 9.94/2.30 % (2593148)Peak memory usage: 94 MB
% 9.94/2.30 % (2593148)Instructions burned: 266 (million)
% 9.94/2.30 % (2593149)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=74567799:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 9.94/2.30 % (2593106)Refutation found. Thanks to Tanya!
% 9.94/2.30 % SZS status Unsatisfiable for theBenchmark
% 9.94/2.30 % SZS output start Proof for theBenchmark
% See solution above
% 9.94/2.40 % (2593106)------------------------------
% 9.94/2.40 % (2593106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.40 % (2593106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.40 % (2593106)CaDiCaL version: 2.1.3
% 9.94/2.40 % (2593106)Termination reason: Refutation
% 9.94/2.40 % (2593106)Time elapsed: 1.106 s
% 9.94/2.40 % (2593106)Peak memory usage: 151 MB
% 9.94/2.40 % (2593106)Instructions burned: 1798 (million)
% 9.94/2.40 % (2593106)------------------------------
% 9.94/2.40 % (2593106)------------------------------
% 9.94/2.40 % (2593101)Success in time 1.623 s
% 9.94/2.40 % Vampire exiting
%------------------------------------------------------------------------------