%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA023-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:31:19 AM UTC 2026
% Result : Unsatisfiable 6.66s 1.26s
% Output : Refutation 6.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 32
% Syntax : Number of formulae : 106 ( 45 unt; 8 def)
% Number of atoms : 186 ( 41 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 164 ( 84 ~; 77 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 4 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-3 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,axiom,
c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = c_0,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Ounit_Osize_0) ).
fof(f93,plain,
c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),
inference(reorient_equations,[],[f92]) ).
fof(f1402,axiom,
c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) = c_0,
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Numeral_Obit_Osize__2_0) ).
fof(f1403,plain,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),
inference(reorient_equations,[],[f1402]) ).
fof(f1428,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ c_lessequals(c_HOL_Oabs(X1,X0),c_0,X0)
| X1 = c_0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__le__zero__iff_0) ).
fof(f1429,plain,
! [X0,X1] :
( ~ c_lessequals(c_HOL_Oabs(X1,X0),c_0,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_0 = X1 ),
inference(reorient_equations,[],[f1428]) ).
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/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f1452,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,X2,X0) != c_0
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__eq__0__iff__eq_0) ).
fof(f1453,plain,
! [X2,X0,X1] :
( c_0 != c_minus(X1,X2,X0)
| ~ class_OrderedGroup_Oab__group__add(X0)
| X1 = X2 ),
inference(reorient_equations,[],[f1452]) ).
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/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__le__0__iff__le_0) ).
fof(f1455,axiom,
! [X2,X0,X1] :
( c_lessequals(c_minus(X1,X2,X0),c_0,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__le__0__iff__le_1) ).
fof(f1456,axiom,
! [X2,X0,X1] :
( ~ c_less(c_minus(X1,X2,X0),c_0,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_less(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__less__0__iff__less_0) ).
fof(f2720,axiom,
! [X0] :
( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_2) ).
fof(f2888,axiom,
! [X0] :
( ~ class_Ring__and__Field_Olordered__ring(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_2) ).
fof(f2893,axiom,
! [X0] :
( ~ class_Ring__and__Field_Olordered__ring(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Olordered__ring_24) ).
fof(f2912,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
| class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) ).
fof(f2920,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).
fof(f2998,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Ocomm__ring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_0) ).
fof(f3022,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_30) ).
fof(f3041,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Olordered__ring(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_48) ).
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(f3387,axiom,
! [X2,X0,X1] :
( ~ c_less(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0)
| ~ c_lessequals(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_1) ).
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,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3392,negated_conjecture,
c_lessequals(v_k(v_x),v_f(v_x),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3393,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3394,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3615,definition,
sF0 = v_k(v_x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f3616,plain,
v_k(v_x) = sF0,
inference(reorient_equations,[],[f3615]) ).
fof(f3617,definition,
sF1 = v_g(v_x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f3618,plain,
v_g(v_x) = sF1,
inference(reorient_equations,[],[f3617]) ).
fof(f3619,definition,
sF2 = c_minus(sF0,sF1,t_b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f3620,plain,
c_minus(sF0,sF1,t_b) = sF2,
inference(reorient_equations,[],[f3619]) ).
fof(f3621,plain,
c_lessequals(c_0,sF2,t_b),
inference(definition_folding,[],[f3391,f3620,f3618,f3616]) ).
fof(f3622,definition,
sF3 = v_f(v_x),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f3623,plain,
v_f(v_x) = sF3,
inference(reorient_equations,[],[f3622]) ).
fof(f3624,plain,
c_lessequals(sF0,sF3,t_b),
inference(definition_folding,[],[f3392,f3623,f3616]) ).
fof(f3625,definition,
sF4 = c_minus(sF3,sF1,t_b),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f3626,plain,
c_minus(sF3,sF1,t_b) = sF4,
inference(reorient_equations,[],[f3625]) ).
fof(f3627,plain,
~ c_lessequals(c_0,sF4,t_b),
inference(definition_folding,[],[f3393,f3626,f3618,f3623]) ).
fof(f4883,plain,
class_Ring__and__Field_Ocomm__ring__1(t_b),
inference(resolution,[],[f2998,f3394]) ).
fof(f4899,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[],[f4883,f2720]) ).
fof(f5051,plain,
class_Ring__and__Field_Oordered__comm__semiring__strict(t_b),
inference(resolution,[],[f3022,f3394]) ).
fof(f5058,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f5051,f2912]) ).
fof(f5066,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f5051,f2920]) ).
fof(f5207,plain,
class_Ring__and__Field_Olordered__ring(t_b),
inference(resolution,[],[f3041,f3394]) ).
fof(f5221,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[],[f5207,f2888]) ).
fof(f5226,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f5207,f2893]) ).
fof(f6154,plain,
~ c_lessequals(c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),sF4,t_b),
inference(superposition,[],[f3627,f93]) ).
fof(f6188,plain,
c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),
inference(superposition,[],[f93,f1403]) ).
fof(f8111,plain,
( c_less(sF4,c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(resolution,[],[f3386,f6154]) ).
fof(f8118,plain,
c_less(sF4,c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),t_b),
inference(forward_subsumption_resolution,[],[f8111,f5058]) ).
fof(f8166,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF4,c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),t_b) ),
inference(resolution,[],[f3389,f8118]) ).
fof(f8177,plain,
c_lessequals(sF4,c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),t_b),
inference(forward_subsumption_resolution,[],[f8166,f5066]) ).
fof(f8763,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| sF2 = c_HOL_Oabs(sF2,t_b) ),
inference(resolution,[],[f1434,f3621]) ).
fof(f8775,plain,
sF2 = c_HOL_Oabs(sF2,t_b),
inference(forward_subsumption_resolution,[],[f8763,f5226]) ).
fof(f8785,plain,
( ~ c_lessequals(sF2,c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_0 = sF2 ),
inference(superposition,[],[f1429,f8775]) ).
fof(f8790,plain,
( ~ c_lessequals(sF2,c_0,t_b)
| c_0 = sF2 ),
inference(forward_subsumption_resolution,[],[f8785,f5226]) ).
fof(f8792,plain,
( ~ c_lessequals(sF2,c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),t_b)
| c_0 = sF2 ),
inference(forward_demodulation,[],[f8790,f1403]) ).
fof(f8794,plain,
( ~ c_lessequals(sF2,c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),t_b)
| c_0 = sF2 ),
inference(forward_demodulation,[],[f8792,f6188]) ).
fof(f8795,plain,
( c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) = sF2
| ~ c_lessequals(sF2,c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),t_b) ),
inference(forward_demodulation,[],[f8794,f1403]) ).
fof(f8796,plain,
( c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = sF2
| ~ c_lessequals(sF2,c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),t_b) ),
inference(forward_demodulation,[],[f8795,f6188]) ).
fof(f8798,definition,
( spl5_16
<=> c_lessequals(sF2,c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),t_b) ),
introduced(definition,[new_symbols(definition,[spl5_16])],[avatar_definition]) ).
fof(f8800,plain,
( ~ c_lessequals(sF2,c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),t_b)
| spl5_16 ),
inference(avatar_component_clause,[],[f8798]) ).
fof(f8802,definition,
( spl5_17
<=> c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = sF2 ),
introduced(definition,[new_symbols(definition,[spl5_17])],[avatar_definition]) ).
fof(f8805,plain,
( ~ spl5_16
| spl5_17 ),
inference(avatar_split_clause,[],[f8796,f8802,f8798]) ).
fof(f8816,plain,
( c_0 != sF2
| ~ class_OrderedGroup_Oab__group__add(t_b)
| sF0 = sF1 ),
inference(superposition,[],[f1453,f3620]) ).
fof(f8819,plain,
( c_0 != sF2
| sF0 = sF1 ),
inference(forward_subsumption_resolution,[],[f8816,f4899]) ).
fof(f8831,plain,
( c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) != sF2
| sF0 = sF1 ),
inference(forward_demodulation,[],[f8819,f1403]) ).
fof(f8843,plain,
( c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) != sF2
| sF0 = sF1 ),
inference(forward_demodulation,[],[f8831,f6188]) ).
fof(f8872,definition,
( spl5_23
<=> sF0 = sF1 ),
introduced(definition,[new_symbols(definition,[spl5_23])],[avatar_definition]) ).
fof(f8874,plain,
( sF0 = sF1
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f8872]) ).
fof(f8875,plain,
( spl5_23
| ~ spl5_17 ),
inference(avatar_split_clause,[],[f8843,f8802,f8872]) ).
fof(f13762,plain,
( ~ c_lessequals(sF4,c_0,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(sF3,sF1,t_b) ),
inference(superposition,[],[f1454,f3626]) ).
fof(f13771,plain,
( ~ c_lessequals(sF4,c_0,t_b)
| c_lessequals(sF3,sF1,t_b) ),
inference(forward_subsumption_resolution,[],[f13762,f5221]) ).
fof(f13788,plain,
( ~ c_lessequals(sF4,c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),t_b)
| c_lessequals(sF3,sF1,t_b) ),
inference(forward_demodulation,[],[f13771,f1403]) ).
fof(f13805,plain,
( ~ c_lessequals(sF4,c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),t_b)
| c_lessequals(sF3,sF1,t_b) ),
inference(forward_demodulation,[],[f13788,f6188]) ).
fof(f13815,plain,
c_lessequals(sF3,sF1,t_b),
inference(forward_subsumption_resolution,[],[f13805,f8177]) ).
fof(f13860,plain,
( c_lessequals(sF2,c_0,t_b)
| ~ c_lessequals(sF0,sF1,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(superposition,[],[f1455,f3620]) ).
fof(f13873,plain,
( c_lessequals(sF2,c_0,t_b)
| ~ c_lessequals(sF0,sF1,t_b) ),
inference(forward_subsumption_resolution,[],[f13860,f5221]) ).
fof(f13899,plain,
( c_lessequals(sF2,c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),t_b)
| ~ c_lessequals(sF0,sF1,t_b) ),
inference(forward_demodulation,[],[f13873,f1403]) ).
fof(f13923,plain,
( c_lessequals(sF2,c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),t_b)
| ~ c_lessequals(sF0,sF1,t_b) ),
inference(forward_demodulation,[],[f13899,f6188]) ).
fof(f13939,plain,
( ~ c_lessequals(sF0,sF1,t_b)
| spl5_16 ),
inference(forward_subsumption_resolution,[],[f13923,f8800]) ).
fof(f13993,plain,
( ~ c_less(sF4,c_0,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_less(sF3,sF1,t_b) ),
inference(superposition,[],[f1456,f3626]) ).
fof(f14002,plain,
( ~ c_less(sF4,c_0,t_b)
| c_less(sF3,sF1,t_b) ),
inference(forward_subsumption_resolution,[],[f13993,f5221]) ).
fof(f14020,plain,
( ~ c_less(sF4,c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),t_b)
| c_less(sF3,sF1,t_b) ),
inference(forward_demodulation,[],[f14002,f1403]) ).
fof(f14038,plain,
( ~ c_less(sF4,c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),t_b)
| c_less(sF3,sF1,t_b) ),
inference(forward_demodulation,[],[f14020,f6188]) ).
fof(f14049,plain,
c_less(sF3,sF1,t_b),
inference(forward_subsumption_resolution,[],[f14038,f8118]) ).
fof(f14054,plain,
( ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(sF1,sF3,t_b) ),
inference(resolution,[],[f14049,f3387]) ).
fof(f14055,plain,
~ c_lessequals(sF1,sF3,t_b),
inference(forward_subsumption_resolution,[],[f14054,f5058]) ).
fof(f21664,plain,
! [X0] :
( ~ c_lessequals(sF3,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF0,X0,t_b) ),
inference(resolution,[],[f3388,f3624]) ).
fof(f21678,plain,
! [X0] :
( ~ c_lessequals(sF3,X0,t_b)
| c_lessequals(sF0,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f21664,f5066]) ).
fof(f32351,plain,
c_lessequals(sF0,sF1,t_b),
inference(resolution,[],[f21678,f13815]) ).
fof(f32362,plain,
( $false
| spl5_16 ),
inference(forward_subsumption_resolution,[],[f32351,f13939]) ).
fof(f32363,plain,
spl5_16,
inference(avatar_contradiction_clause,[],[f32362]) ).
fof(f32460,plain,
( c_lessequals(sF1,sF3,t_b)
| ~ spl5_23 ),
inference(superposition,[],[f3624,f8874]) ).
fof(f32481,plain,
( $false
| ~ spl5_23 ),
inference(forward_subsumption_resolution,[],[f32460,f14055]) ).
fof(f32482,plain,
~ spl5_23,
inference(avatar_contradiction_clause,[],[f32481]) ).
cnf(s10,plain,
( ~ spl5_16
| spl5_17 ),
inference(sat_conversion,[],[f8805]) ).
cnf(s14,plain,
( ~ spl5_17
| spl5_23 ),
inference(sat_conversion,[],[f8875]) ).
cnf(s108,plain,
spl5_16,
inference(sat_conversion,[],[f32363]) ).
cnf(s109,plain,
~ spl5_23,
inference(sat_conversion,[],[f32482]) ).
cnf(s114,plain,
~ spl5_17,
inference(rat,[],[s14,s109]) ).
cnf(s115,plain,
$false,
inference(rat,[],[s10,s114,s108]) ).
fof(f32486,plain,
$false,
inference(avatar_sat_refutation,[],[s115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA023-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.17 % Computer : n012.cluster.edu
% 0.05/0.17 % Model : x86_64 x86_64
% 0.05/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.17 % Memory : 8046.5625MB
% 0.05/0.17 % OS : Linux 6.8.0-71-generic
% 0.05/0.17 % CPULimit : 300
% 0.05/0.17 % WCLimit : 300
% 0.05/0.17 % DateTime : Mon Sep 28 20:29:34 UTC 2026
% 0.05/0.17 % CPUTime :
% 0.05/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.20 Running first-order model finding
% 0.05/0.20 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
% 6.66/1.26 % (3707367)Will run a generic schedule for satisfiability detection.
% 6.66/1.26 % (3707373)% WARNING: option uhcvi not known.
% 6.66/1.26 % (3707374)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=610256201:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.66/1.26 % (3707377)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1989506:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.66/1.26 % (3707372)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2259732015_2999 on theBenchmark for (2999ds/0Mi)
% 6.66/1.26 % (3707376)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=158909283:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.66/1.26 % (3707378)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1143741879:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.66/1.26 % (3707373)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=620682901:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.66/1.26 % (3707375)dis+10_1_sil=32000:sp=arity:random_seed=2933090977:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.66/1.26 % (3707376)Instruction limit reached!
% 6.66/1.26 % (3707376)------------------------------
% 6.66/1.26 % (3707376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.26 % (3707376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.26 % (3707376)CaDiCaL version: 2.1.3
% 6.66/1.26 % (3707376)Termination reason: Instruction limit
% 6.66/1.26 % (3707376)Termination phase: Saturation
% 6.66/1.26 % (3707376)Time elapsed: 0.058 s
% 6.66/1.26 % (3707376)Peak memory usage: 15 MB
% 6.66/1.26 % (3707376)Instructions burned: 116 (million)
% 6.66/1.26 % (3707377)Instruction limit reached!
% 6.66/1.26 % (3707377)------------------------------
% 6.66/1.26 % (3707377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.26 % (3707377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.26 % (3707377)CaDiCaL version: 2.1.3
% 6.66/1.26 % (3707377)Termination reason: Instruction limit
% 6.66/1.26 % (3707377)Termination phase: Saturation
% 6.66/1.26 % (3707377)Time elapsed: 0.063 s
% 6.66/1.26 % (3707377)Peak memory usage: 16 MB
% 6.66/1.26 % (3707377)Instructions burned: 132 (million)
% 6.66/1.26 % (3707375)Instruction limit reached!
% 6.66/1.26 % (3707375)------------------------------
% 6.66/1.26 % (3707375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.26 % (3707375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.26 % (3707375)CaDiCaL version: 2.1.3
% 6.66/1.26 % (3707375)Termination reason: Instruction limit
% 6.66/1.26 % (3707375)Termination phase: Saturation
% 6.66/1.26 % (3707375)Time elapsed: 0.054 s
% 6.66/1.26 % (3707375)Peak memory usage: 15 MB
% 6.66/1.26 % (3707375)Instructions burned: 103 (million)
% 6.66/1.26 % (3707386)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1874646960:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 6.66/1.26 % (3707378)Instruction limit reached!
% 6.66/1.26 % (3707378)------------------------------
% 6.66/1.26 % (3707378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.26 % (3707378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.26 % (3707378)CaDiCaL version: 2.1.3
% 6.66/1.26 % (3707378)Termination reason: Instruction limit
% 6.66/1.26 % (3707378)Termination phase: Saturation
% 6.66/1.26 % (3707378)Time elapsed: 0.088 s
% 6.66/1.26 % (3707378)Peak memory usage: 16 MB
% 6.66/1.26 % (3707378)Instructions burned: 161 (million)
% 6.66/1.26 % (3707388)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=2056698386:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.66/1.26 % (3707387)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2643657338:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.66/1.26 % (3707390)ott-21_1_sil=16000:fs=off:random_seed=1817831156:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.66/1.26 % (3707390)Instruction limit reached!
% 6.66/1.26 % (3707390)------------------------------
% 6.66/1.26 % (3707390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.26 % (3707390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.26 % (3707390)CaDiCaL version: 2.1.3
% 6.66/1.26 % (3707390)Termination reason: Instruction limit
% 6.66/1.26 % (3707390)Termination phase: Saturation
% 6.66/1.26 % (3707390)Time elapsed: 0.057 s
% 6.66/1.26 % (3707390)Peak memory usage: 16 MB
% 6.66/1.26 % (3707390)Instructions burned: 182 (million)
% 6.66/1.26 % (3707387)Instruction limit reached!
% 6.66/1.26 % (3707387)------------------------------
% 6.66/1.26 % (3707387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.26 % (3707387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.26 % (3707387)CaDiCaL version: 2.1.3
% 6.66/1.26 % (3707387)Termination reason: Instruction limit
% 6.66/1.26 % (3707387)Termination phase: Saturation
% 6.66/1.26 % (3707387)Time elapsed: 0.073 s
% 6.66/1.26 % (3707387)Peak memory usage: 16 MB
% 6.66/1.26 % (3707387)Instructions burned: 137 (million)
% 6.66/1.26 % (3707394)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1156593821:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.66/1.26 % (3707395)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=76946963:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.66/1.26 % TRYING [1]
% 6.66/1.26 % TRYING [2]
% 6.66/1.26 % TRYING [1]
% 6.66/1.26 % TRYING [2]
% 6.66/1.26 % (3707386)Instruction limit reached!
% 6.66/1.26 % (3707386)------------------------------
% 6.66/1.26 % (3707386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.26 % (3707386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.26 % (3707386)CaDiCaL version: 2.1.3
% 6.66/1.26 % (3707386)Termination reason: Instruction limit
% 6.66/1.26 % (3707386)Termination phase: Finite model building constraint generation
% 6.66/1.26 % (3707386)Time elapsed: 0.314 s
% 6.66/1.26 % (3707386)Peak memory usage: 26 MB
% 6.66/1.26 % (3707386)Instructions burned: 717 (million)
% 6.66/1.26 % (3707398)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1266901329:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 6.66/1.26 % (3707388)Instruction limit reached!
% 6.66/1.26 % (3707388)------------------------------
% 6.66/1.26 % (3707388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.26 % (3707388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.26 % (3707388)CaDiCaL version: 2.1.3
% 6.66/1.26 % (3707388)Termination reason: Instruction limit
% 6.66/1.26 % (3707388)Termination phase: Saturation
% 6.66/1.26 % (3707388)Time elapsed: 0.344 s
% 6.66/1.26 % (3707388)Peak memory usage: 20 MB
% 6.66/1.26 % (3707388)Instructions burned: 685 (million)
% 6.66/1.26 % (3707400)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4162296786:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.66/1.26 % (3707394)Instruction limit reached!
% 6.66/1.26 % (3707394)------------------------------
% 6.66/1.26 % (3707394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.26 % (3707394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.26 % (3707394)CaDiCaL version: 2.1.3
% 6.66/1.26 % (3707394)Termination reason: Instruction limit
% 6.66/1.26 % (3707394)Termination phase: Saturation
% 6.66/1.26 % (3707394)Time elapsed: 0.290 s
% 6.66/1.26 % (3707394)Peak memory usage: 17 MB
% 6.66/1.26 % (3707394)Instructions burned: 478 (million)
% 6.66/1.26 % TRYING [1]
% 6.66/1.26 % (3707402)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=4008885224:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.66/1.26 % (3707395)Instruction limit reached!
% 6.66/1.26 % (3707395)------------------------------
% 6.66/1.26 % (3707395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.26 % (3707395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.26 % (3707395)CaDiCaL version: 2.1.3
% 6.66/1.26 % (3707395)Termination reason: Instruction limit
% 6.66/1.26 % (3707395)Termination phase: Finite model building constraint generation
% 6.66/1.26 % (3707395)Time elapsed: 0.424 s
% 6.66/1.26 % (3707395)Peak memory usage: 50 MB
% 6.66/1.26 % (3707395)Instructions burned: 866 (million)
% 6.66/1.26 % (3707406)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=35683758:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 6.66/1.26 % (3707400)Cannot represent all propositional literals internally
% 6.66/1.26 % (3707400)Refutation not found, incomplete strategy
% 6.66/1.26 % (3707400)------------------------------
% 6.66/1.26 % (3707400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.26 % (3707400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.26 % (3707400)CaDiCaL version: 2.1.3
% 6.66/1.26 % (3707400)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.26 % (3707400)Time elapsed: 0.243 s
% 6.66/1.26 % (3707400)Peak memory usage: 23 MB
% 6.66/1.26 % (3707400)Instructions burned: 577 (million)
% 6.66/1.26 % (3707400)------------------------------
% 6.66/1.26 % (3707400)------------------------------
% 6.66/1.26 % (3707408)fmb+10_1_sil=64000:random_seed=2934311745:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 6.66/1.26 % (3707402)Instruction limit reached!
% 6.66/1.26 % (3707402)------------------------------
% 6.66/1.26 % (3707402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.26 % (3707402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.26 % (3707402)CaDiCaL version: 2.1.3
% 6.66/1.26 % (3707402)Termination reason: Instruction limit
% 6.66/1.26 % (3707402)Termination phase: Saturation
% 6.66/1.26 % (3707402)Time elapsed: 0.358 s
% 6.66/1.26 % (3707402)Peak memory usage: 20 MB
% 6.66/1.26 % (3707402)Instructions burned: 694 (million)
% 6.66/1.26 % (3707410)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3597966763:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.66/1.26 % (3707398) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3707367-3707398"...
% 6.66/1.26 % (3707398)...printing done.
% 6.66/1.26 % (3707398)Refutation found. Thanks to Tanya!
% 6.66/1.26 % SZS status Unsatisfiable for theBenchmark
% 6.66/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 6.66/1.26 % (3707398)------------------------------
% 6.66/1.26 % (3707398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.66/1.26 % (3707398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.26 % (3707398)CaDiCaL version: 2.1.3
% 6.66/1.26 % (3707398)Termination reason: Refutation
% 6.66/1.26 % (3707398)Time elapsed: 0.538 s
% 6.66/1.26 % (3707398)Peak memory usage: 26 MB
% 6.66/1.26 % (3707398)Instructions burned: 1055 (million)
% 6.66/1.26 % (3707367)Success in time 1.056 s
% 6.66/1.26 % Vampire exiting
%------------------------------------------------------------------------------