TSTP Solution File: SWW188+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW188+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:31:30 EDT 2024
% Result : Theorem 6.32s 1.37s
% Output : Refutation 6.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 27
% Syntax : Number of formulae : 101 ( 18 unt; 0 def)
% Number of atoms : 230 ( 48 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 223 ( 94 ~; 93 |; 1 &)
% ( 17 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 15 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6311,plain,
$false,
inference(avatar_sat_refutation,[],[f5581,f5586,f5591,f5596,f5601,f5632,f5676,f5700,f5779,f5783,f5996,f6008,f6014,f6040,f6275]) ).
fof(f6275,plain,
( ~ spl14_2
| ~ spl14_4
| spl14_63 ),
inference(avatar_contradiction_clause,[],[f6245]) ).
fof(f6245,plain,
( $false
| ~ spl14_2
| ~ spl14_4
| spl14_63 ),
inference(resolution,[],[f5868,f6039]) ).
fof(f6039,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Polynomial_Odegree(t_a,v_p))
| spl14_63 ),
inference(avatar_component_clause,[],[f6037]) ).
fof(f6037,plain,
( spl14_63
<=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Polynomial_Odegree(t_a,v_p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_63])]) ).
fof(f5868,plain,
( ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Polynomial_Odegree(t_a,v_p))
| ~ spl14_2
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f5849,f5585]) ).
fof(f5585,plain,
( class_Rings_Ocomm__semiring__0(t_a)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f5583]) ).
fof(f5583,plain,
( spl14_2
<=> class_Rings_Ocomm__semiring__0(t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f5849,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Polynomial_Odegree(t_a,v_p))
| ~ class_Rings_Ocomm__semiring__0(t_a) )
| ~ spl14_4 ),
inference(superposition,[],[f3476,f5595]) ).
fof(f5595,plain,
( c_Polynomial_Odegree(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)) = c_Polynomial_Odegree(t_a,v_p)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f5593]) ).
fof(f5593,plain,
( spl14_4
<=> c_Polynomial_Odegree(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)) = c_Polynomial_Odegree(t_a,v_p) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f3476,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X0)),c_Polynomial_Odegree(X2,X0))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(cnf_transformation,[],[f2179]) ).
fof(f2179,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X0)),c_Polynomial_Odegree(X2,X0))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(ennf_transformation,[],[f1205]) ).
fof(f1205,plain,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__0(X2)
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X0)),c_Polynomial_Odegree(X2,X0)) ),
inference(rectify,[],[f157]) ).
fof(f157,axiom,
! [X9,X5,X4] :
( class_Rings_Ocomm__semiring__0(X4)
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X4,c_Polynomial_Osmult(X4,X5,X9)),c_Polynomial_Odegree(X4,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6040,plain,
( ~ spl14_63
| spl14_62 ),
inference(avatar_split_clause,[],[f6016,f6011,f6037]) ).
fof(f6011,plain,
( spl14_62
<=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Nat_OSuc(c_Polynomial_Odegree(t_a,v_p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_62])]) ).
fof(f6016,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Polynomial_Odegree(t_a,v_p))
| spl14_62 ),
inference(resolution,[],[f6013,f3606]) ).
fof(f3606,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
inference(cnf_transformation,[],[f2234]) ).
fof(f2234,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
inference(ennf_transformation,[],[f1290]) ).
fof(f1290,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0)) ),
inference(rectify,[],[f757]) ).
fof(f757,axiom,
! [X21,X18] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X18,X21)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,c_Nat_OSuc(X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6013,plain,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Nat_OSuc(c_Polynomial_Odegree(t_a,v_p)))
| spl14_62 ),
inference(avatar_component_clause,[],[f6011]) ).
fof(f6014,plain,
( ~ spl14_62
| ~ spl14_4
| spl14_30 ),
inference(avatar_split_clause,[],[f6009,f5775,f5593,f6011]) ).
fof(f5775,plain,
( spl14_30
<=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
fof(f6009,plain,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Nat_OSuc(c_Polynomial_Odegree(t_a,v_p)))
| ~ spl14_4
| spl14_30 ),
inference(forward_demodulation,[],[f5777,f5595]) ).
fof(f5777,plain,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))))
| spl14_30 ),
inference(avatar_component_clause,[],[f5775]) ).
fof(f6008,plain,
( ~ spl14_2
| ~ spl14_16 ),
inference(avatar_contradiction_clause,[],[f6007]) ).
fof(f6007,plain,
( $false
| ~ spl14_2
| ~ spl14_16 ),
inference(subsumption_resolution,[],[f6006,f5585]) ).
fof(f6006,plain,
( ~ class_Rings_Ocomm__semiring__0(t_a)
| ~ spl14_16 ),
inference(resolution,[],[f5667,f5167]) ).
fof(f5167,plain,
! [X0] :
( ~ class_Groups_Ocomm__monoid__add(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(consistent_polarity_flipping,[],[f4192]) ).
fof(f4192,plain,
! [X0] :
( class_Groups_Ocomm__monoid__add(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f2640]) ).
fof(f2640,plain,
! [X0] :
( class_Groups_Ocomm__monoid__add(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(ennf_transformation,[],[f1729]) ).
fof(f1729,plain,
! [X0] :
( class_Rings_Ocomm__semiring__0(X0)
=> class_Groups_Ocomm__monoid__add(X0) ),
inference(rectify,[],[f998]) ).
fof(f998,axiom,
! [X87] :
( class_Rings_Ocomm__semiring__0(X87)
=> class_Groups_Ocomm__monoid__add(X87) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5667,plain,
( class_Groups_Ocomm__monoid__add(t_a)
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f5665]) ).
fof(f5665,plain,
( spl14_16
<=> class_Groups_Ocomm__monoid__add(t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f5996,plain,
( ~ spl14_2
| spl14_3
| ~ spl14_21 ),
inference(avatar_contradiction_clause,[],[f5995]) ).
fof(f5995,plain,
( $false
| ~ spl14_2
| spl14_3
| ~ spl14_21 ),
inference(subsumption_resolution,[],[f5994,f5585]) ).
fof(f5994,plain,
( ~ class_Rings_Ocomm__semiring__0(t_a)
| spl14_3
| ~ spl14_21 ),
inference(subsumption_resolution,[],[f5918,f5590]) ).
fof(f5590,plain,
( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| spl14_3 ),
inference(avatar_component_clause,[],[f5588]) ).
fof(f5588,plain,
( spl14_3
<=> v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f5918,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Ocomm__semiring__0(t_a)
| ~ spl14_21 ),
inference(trivial_inequality_removal,[],[f5916]) ).
fof(f5916,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Ocomm__semiring__0(t_a)
| ~ spl14_21 ),
inference(superposition,[],[f3458,f5693]) ).
fof(f5693,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f5691]) ).
fof(f5691,plain,
( spl14_21
<=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f3458,plain,
! [X2,X0,X1] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(cnf_transformation,[],[f3148]) ).
fof(f3148,plain,
! [X0,X1,X2] :
( ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X1 )
& ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) )
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(nnf_transformation,[],[f2158]) ).
fof(f2158,plain,
! [X0,X1,X2] :
( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1 )
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(ennf_transformation,[],[f1184]) ).
fof(f1184,plain,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__0(X2)
=> ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1 ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X6,X7,X8] :
( class_Rings_Ocomm__semiring__0(X8)
=> ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X8,X7,X6) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8))
<=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8)) = X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5783,plain,
( ~ spl14_6
| spl14_21
| ~ spl14_22
| spl14_18 ),
inference(avatar_split_clause,[],[f5781,f5673,f5695,f5691,f5605]) ).
fof(f5605,plain,
( spl14_6
<=> class_Groups_Ozero(t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f5695,plain,
( spl14_22
<=> sP13(c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f5673,plain,
( spl14_18
<=> sP13(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f5781,plain,
( ~ sP13(c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Groups_Ozero(t_a)
| spl14_18 ),
inference(superposition,[],[f5675,f4149]) ).
fof(f4149,plain,
! [X2,X0,X1] :
( c_Polynomial_Odegree(X2,c_Polynomial_OpCons(X2,X0,X1)) = c_Nat_OSuc(c_Polynomial_Odegree(X2,X1))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| ~ class_Groups_Ozero(X2) ),
inference(cnf_transformation,[],[f2597]) ).
fof(f2597,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,c_Polynomial_OpCons(X2,X0,X1)) = c_Nat_OSuc(c_Polynomial_Odegree(X2,X1))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| ~ class_Groups_Ozero(X2) ),
inference(flattening,[],[f2596]) ).
fof(f2596,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,c_Polynomial_OpCons(X2,X0,X1)) = c_Nat_OSuc(c_Polynomial_Odegree(X2,X1))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| ~ class_Groups_Ozero(X2) ),
inference(ennf_transformation,[],[f1690]) ).
fof(f1690,plain,
! [X0,X1,X2] :
( class_Groups_Ozero(X2)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X1
=> c_Polynomial_Odegree(X2,c_Polynomial_OpCons(X2,X0,X1)) = c_Nat_OSuc(c_Polynomial_Odegree(X2,X1)) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X5,X9,X4] :
( class_Groups_Ozero(X4)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)) != X9
=> c_Polynomial_Odegree(X4,c_Polynomial_OpCons(X4,X5,X9)) = c_Nat_OSuc(c_Polynomial_Odegree(X4,X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5675,plain,
( ~ sP13(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))))
| spl14_18 ),
inference(avatar_component_clause,[],[f5673]) ).
fof(f5779,plain,
( ~ spl14_6
| spl14_21
| ~ spl14_30
| spl14_17 ),
inference(avatar_split_clause,[],[f5740,f5669,f5775,f5691,f5605]) ).
fof(f5669,plain,
( spl14_17
<=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f5740,plain,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Groups_Ozero(t_a)
| spl14_17 ),
inference(superposition,[],[f5671,f4149]) ).
fof(f5671,plain,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))))
| spl14_17 ),
inference(avatar_component_clause,[],[f5669]) ).
fof(f5700,plain,
( c_Polynomial_Odegree(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)) != c_Polynomial_Odegree(t_a,v_p)
| sP13(c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))))
| ~ sP13(c_Nat_OSuc(c_Polynomial_Odegree(t_a,v_p))) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f5676,plain,
( spl14_16
| ~ spl14_17
| ~ spl14_18
| spl14_5 ),
inference(avatar_split_clause,[],[f5637,f5598,f5673,f5669,f5665]) ).
fof(f5598,plain,
( spl14_5
<=> sP13(c_Polynomial_Odegree(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f5637,plain,
( ~ sP13(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))))
| class_Groups_Ocomm__monoid__add(t_a)
| spl14_5 ),
inference(superposition,[],[f5600,f5162]) ).
fof(f5162,plain,
! [X2,X0,X1] :
( c_Polynomial_Odegree(X2,X0) = c_Polynomial_Odegree(X2,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),X1,X0))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| class_Groups_Ocomm__monoid__add(X2) ),
inference(consistent_polarity_flipping,[],[f4187]) ).
fof(f4187,plain,
! [X2,X0,X1] :
( c_Polynomial_Odegree(X2,X0) = c_Polynomial_Odegree(X2,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),X1,X0))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| ~ class_Groups_Ocomm__monoid__add(X2) ),
inference(cnf_transformation,[],[f2635]) ).
fof(f2635,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,X0) = c_Polynomial_Odegree(X2,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),X1,X0))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| ~ class_Groups_Ocomm__monoid__add(X2) ),
inference(flattening,[],[f2634]) ).
fof(f2634,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,X0) = c_Polynomial_Odegree(X2,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),X1,X0))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| ~ class_Groups_Ocomm__monoid__add(X2) ),
inference(ennf_transformation,[],[f1724]) ).
fof(f1724,plain,
! [X0,X1,X2] :
( class_Groups_Ocomm__monoid__add(X2)
=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
=> c_Polynomial_Odegree(X2,X0) = c_Polynomial_Odegree(X2,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),X1,X0)) ) ),
inference(rectify,[],[f780]) ).
fof(f780,axiom,
! [X12,X9,X4] :
( class_Groups_Ocomm__monoid__add(X4)
=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X4,X9),c_Polynomial_Odegree(X4,X12))
=> c_Polynomial_Odegree(X4,X12) = c_Polynomial_Odegree(X4,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),X9,X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5600,plain,
( ~ sP13(c_Polynomial_Odegree(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))))
| spl14_5 ),
inference(avatar_component_clause,[],[f5598]) ).
fof(f5632,plain,
( spl14_6
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f5616,f5583,f5605]) ).
fof(f5616,plain,
( class_Groups_Ozero(t_a)
| ~ spl14_2 ),
inference(resolution,[],[f5585,f4156]) ).
fof(f4156,plain,
! [X0] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| class_Groups_Ozero(X0) ),
inference(cnf_transformation,[],[f2602]) ).
fof(f2602,plain,
! [X0] :
( class_Groups_Ozero(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(ennf_transformation,[],[f1695]) ).
fof(f1695,plain,
! [X0] :
( class_Rings_Ocomm__semiring__0(X0)
=> class_Groups_Ozero(X0) ),
inference(rectify,[],[f1004]) ).
fof(f1004,axiom,
! [X87] :
( class_Rings_Ocomm__semiring__0(X87)
=> class_Groups_Ozero(X87) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5601,plain,
~ spl14_5,
inference(avatar_split_clause,[],[f4761,f5598]) ).
fof(f4761,plain,
~ sP13(c_Polynomial_Odegree(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP13])]) ).
fof(f5596,plain,
spl14_4,
inference(avatar_split_clause,[],[f3455,f5593]) ).
fof(f3455,plain,
c_Polynomial_Odegree(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)) = c_Polynomial_Odegree(t_a,v_p),
inference(cnf_transformation,[],[f1176]) ).
fof(f1176,axiom,
c_Polynomial_Odegree(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)) = c_Polynomial_Odegree(t_a,v_p),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5591,plain,
~ spl14_3,
inference(avatar_split_clause,[],[f3454,f5588]) ).
fof(f3454,plain,
v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(cnf_transformation,[],[f1177]) ).
fof(f1177,axiom,
v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5586,plain,
spl14_2,
inference(avatar_split_clause,[],[f3453,f5583]) ).
fof(f3453,plain,
class_Rings_Ocomm__semiring__0(t_a),
inference(cnf_transformation,[],[f1180]) ).
fof(f1180,axiom,
class_Rings_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5581,plain,
spl14_1,
inference(avatar_split_clause,[],[f4762,f5578]) ).
fof(f5578,plain,
( spl14_1
<=> sP13(c_Nat_OSuc(c_Polynomial_Odegree(t_a,v_p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f4762,plain,
sP13(c_Nat_OSuc(c_Polynomial_Odegree(t_a,v_p))),
inference(inequality_splitting,[],[f3452,f4761]) ).
fof(f3452,plain,
c_Polynomial_Odegree(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))) != c_Nat_OSuc(c_Polynomial_Odegree(t_a,v_p)),
inference(cnf_transformation,[],[f1181]) ).
fof(f1181,plain,
c_Polynomial_Odegree(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))) != c_Nat_OSuc(c_Polynomial_Odegree(t_a,v_p)),
inference(flattening,[],[f1179]) ).
fof(f1179,negated_conjecture,
c_Polynomial_Odegree(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))) != c_Nat_OSuc(c_Polynomial_Odegree(t_a,v_p)),
inference(negated_conjecture,[],[f1178]) ).
fof(f1178,conjecture,
c_Polynomial_Odegree(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,v_p)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW188+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 05:58:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.19/0.36 Running first-order theorem proving
% 0.19/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 % (23793)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (23799)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.21/0.47 % (23793)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (23797)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.21/0.47 % (23793)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (23800)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.21/0.47 % (23793)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (23798)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.21/0.47 % (23793)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (23801)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.21/0.47 % (23793)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (23796)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.21/0.47 % (23793)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47 % (23795)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 1.24/0.58 % (23799)Instruction limit reached!
% 1.24/0.58 % (23799)------------------------------
% 1.24/0.58 % (23799)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.24/0.58 % (23799)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.24/0.58 % (23799)Termination reason: Time limit
% 1.24/0.58 % (23799)Termination phase: Saturation
% 1.24/0.58
% 1.24/0.58 % (23799)Memory used [KB]: 6510
% 1.24/0.58 % (23799)Time elapsed: 0.103 s
% 1.24/0.58 % (23799)Instructions burned: 251 (million)
% 1.38/0.61 % (23793)Running in auto input_syntax mode. Trying TPTP
% 1.38/0.61 % (23802)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2998ds/125Mi)
% 1.38/0.62 % (23800)Instruction limit reached!
% 1.38/0.62 % (23800)------------------------------
% 1.38/0.62 % (23800)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.38/0.62 % (23800)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.38/0.62 % (23800)Termination reason: Time limit
% 1.38/0.62 % (23800)Termination phase: Saturation
% 1.38/0.62
% 1.38/0.62 % (23800)Memory used [KB]: 4580
% 1.38/0.62 % (23800)Time elapsed: 0.152 s
% 1.38/0.62 % (23800)Instructions burned: 346 (million)
% 1.62/0.63 % (23801)Instruction limit reached!
% 1.62/0.63 % (23801)------------------------------
% 1.62/0.63 % (23801)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.62/0.63 % (23801)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.62/0.63 % (23801)Termination reason: Time limit
% 1.62/0.63 % (23801)Termination phase: Saturation
% 1.62/0.63
% 1.62/0.63 % (23801)Memory used [KB]: 4629
% 1.62/0.63 % (23801)Time elapsed: 0.160 s
% 1.62/0.63 % (23801)Instructions burned: 283 (million)
% 1.69/0.65 % (23802)Instruction limit reached!
% 1.69/0.65 % (23802)------------------------------
% 1.69/0.65 % (23802)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.69/0.65 % (23802)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.69/0.65 % (23802)Termination reason: Time limit
% 1.69/0.65 % (23802)Termination phase: Saturation
% 1.69/0.65
% 1.69/0.65 % (23802)Memory used [KB]: 3651
% 1.69/0.65 % (23802)Time elapsed: 0.066 s
% 1.69/0.65 % (23802)Instructions burned: 125 (million)
% 1.69/0.66 % (23793)Running in auto input_syntax mode. Trying TPTP
% 1.69/0.66 % (23803)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2997ds/402Mi)
% 1.69/0.67 % (23793)Running in auto input_syntax mode. Trying TPTP
% 1.69/0.67 % (23804)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2997ds/325Mi)
% 1.69/0.69 % (23793)Running in auto input_syntax mode. Trying TPTP
% 1.69/0.69 % (23805)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2997ds/267Mi)
% 2.30/0.77 % (23804)Instruction limit reached!
% 2.30/0.77 % (23804)------------------------------
% 2.30/0.77 % (23804)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.30/0.77 % (23804)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.30/0.77 % (23804)Termination reason: Time limit
% 2.30/0.77 % (23804)Termination phase: Saturation
% 2.30/0.77
% 2.30/0.77 % (23804)Memory used [KB]: 4350
% 2.30/0.77 % (23804)Time elapsed: 0.121 s
% 2.30/0.77 % (23804)Instructions burned: 325 (million)
% 2.30/0.77 % (23805)Instruction limit reached!
% 2.30/0.77 % (23805)------------------------------
% 2.30/0.77 % (23805)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.30/0.77 % (23805)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.30/0.77 % (23805)Termination reason: Time limit
% 2.30/0.77 % (23805)Termination phase: Saturation
% 2.30/0.77
% 2.30/0.77 % (23805)Memory used [KB]: 3240
% 2.30/0.77 % (23805)Time elapsed: 0.105 s
% 2.30/0.77 % (23805)Instructions burned: 268 (million)
% 2.30/0.79 % (23803)Instruction limit reached!
% 2.30/0.79 % (23803)------------------------------
% 2.30/0.79 % (23803)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.30/0.79 % (23803)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.30/0.79 % (23803)Termination reason: Time limit
% 2.30/0.79 % (23803)Termination phase: Saturation
% 2.30/0.79
% 2.30/0.79 % (23803)Memory used [KB]: 6968
% 2.30/0.79 % (23803)Time elapsed: 0.155 s
% 2.30/0.79 % (23803)Instructions burned: 402 (million)
% 2.30/0.80 % (23793)Running in auto input_syntax mode. Trying TPTP
% 2.30/0.80 % (23807)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=200:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2996ds/200Mi)
% 2.30/0.80 % (23793)Running in auto input_syntax mode. Trying TPTP
% 2.30/0.80 % (23806)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=156:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2996ds/156Mi)
% 2.30/0.82 % (23793)Running in auto input_syntax mode. Trying TPTP
% 2.30/0.82 % (23808)dis-1010_1:4_sil=2000:tgt=ground:fd=off:i=203:sd=1:nm=4:av=off:ss=axioms:sgt=64:newcnf=on_0 on theBenchmark for (2996ds/203Mi)
% 2.30/0.85 % (23806)Instruction limit reached!
% 2.30/0.85 % (23806)------------------------------
% 2.30/0.85 % (23806)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.30/0.85 % (23806)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.30/0.85 % (23806)Termination reason: Time limit
% 2.30/0.85 % (23806)Termination phase: Saturation
% 2.30/0.85
% 2.30/0.85 % (23806)Memory used [KB]: 3610
% 2.30/0.85 % (23806)Time elapsed: 0.066 s
% 2.30/0.85 % (23806)Instructions burned: 158 (million)
% 3.13/0.86 % (23807)Instruction limit reached!
% 3.13/0.86 % (23807)------------------------------
% 3.13/0.86 % (23807)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.13/0.86 % (23807)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.13/0.86 % (23807)Termination reason: Time limit
% 3.13/0.86 % (23807)Termination phase: Saturation
% 3.13/0.86
% 3.13/0.86 % (23807)Memory used [KB]: 4238
% 3.13/0.86 % (23807)Time elapsed: 0.088 s
% 3.13/0.86 % (23807)Instructions burned: 200 (million)
% 3.13/0.88 % (23793)Running in auto input_syntax mode. Trying TPTP
% 3.13/0.88 % (23812)lrs+1002_1:8_sil=4000:sos=on:nicw=on:st=2.5:i=1027:ss=included:sd=7:ep=RS:erd=off_0 on theBenchmark for (2995ds/1027Mi)
% 3.35/0.89 % (23808)Instruction limit reached!
% 3.35/0.89 % (23808)------------------------------
% 3.35/0.89 % (23808)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.35/0.89 % (23808)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.35/0.89 % (23808)Termination reason: Time limit
% 3.35/0.89 % (23808)Termination phase: Saturation
% 3.35/0.89
% 3.35/0.89 % (23808)Memory used [KB]: 3554
% 3.35/0.89 % (23808)Time elapsed: 0.070 s
% 3.35/0.89 % (23808)Instructions burned: 204 (million)
% 3.35/0.90 % (23793)Running in auto input_syntax mode. Trying TPTP
% 3.35/0.90 % (23813)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=316:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2995ds/316Mi)
% 3.35/0.92 % (23793)Running in auto input_syntax mode. Trying TPTP
% 3.35/0.92 % (23820)lrs+10_8:1_bsr=unit_only:sil=4000:urr=on:lcm=reverse:rp=on:i=426:sd=1:nm=6:av=off:ss=included:sup=off:sos=on_0 on theBenchmark for (2995ds/426Mi)
% 3.68/1.00 % (23813)Instruction limit reached!
% 3.68/1.00 % (23813)------------------------------
% 3.68/1.00 % (23813)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.68/1.00 % (23813)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.68/1.00 % (23813)Termination reason: Time limit
% 3.68/1.00 % (23813)Termination phase: Saturation
% 3.68/1.00
% 3.68/1.00 % (23813)Memory used [KB]: 5476
% 3.68/1.00 % (23813)Time elapsed: 0.104 s
% 3.68/1.00 % (23813)Instructions burned: 317 (million)
% 4.09/1.03 % (23793)Running in auto input_syntax mode. Trying TPTP
% 4.09/1.03 % (23833)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=260:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2994ds/260Mi)
% 4.09/1.03 % (23820)Instruction limit reached!
% 4.09/1.03 % (23820)------------------------------
% 4.09/1.03 % (23820)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.09/1.03 % (23820)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.09/1.03 % (23820)Termination reason: Time limit
% 4.09/1.03 % (23820)Termination phase: Saturation
% 4.09/1.03
% 4.09/1.03 % (23820)Memory used [KB]: 6221
% 4.09/1.03 % (23820)Time elapsed: 0.109 s
% 4.09/1.03 % (23820)Instructions burned: 426 (million)
% 4.09/1.06 % (23793)Running in auto input_syntax mode. Trying TPTP
% 4.09/1.06 % (23838)lrs+2_1:1_drc=encompass:sil=2000:urr=on:nwc=10.0:i=160:sd=3:fsr=off:ss=axioms:fd=preordered:bd=off:sup=off_0 on theBenchmark for (2993ds/160Mi)
% 4.87/1.11 % (23833)Instruction limit reached!
% 4.87/1.11 % (23833)------------------------------
% 4.87/1.11 % (23833)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.87/1.11 % (23833)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.87/1.11 % (23833)Termination reason: Time limit
% 4.87/1.11 % (23833)Termination phase: Saturation
% 4.87/1.11
% 4.87/1.11 % (23833)Memory used [KB]: 3878
% 4.87/1.11 % (23833)Time elapsed: 0.080 s
% 4.87/1.11 % (23833)Instructions burned: 261 (million)
% 4.87/1.11 % (23838)Instruction limit reached!
% 4.87/1.11 % (23838)------------------------------
% 4.87/1.11 % (23838)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.87/1.11 % (23838)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.87/1.11 % (23838)Termination reason: Time limit
% 4.87/1.11 % (23838)Termination phase: Saturation
% 4.87/1.11
% 4.87/1.11 % (23838)Memory used [KB]: 3585
% 4.87/1.11 % (23838)Time elapsed: 0.047 s
% 4.87/1.11 % (23838)Instructions burned: 162 (million)
% 4.87/1.14 % (23793)Running in auto input_syntax mode. Trying TPTP
% 4.87/1.14 % (23839)dis+11_5603931:1048576_bsr=on:sfv=off:slsqr=176855,1048576:sil=2000:plsq=on:plsqr=4348351,262144:sp=occurrence:spb=units:lcm=predicate:fd=off:nwc=1.37809:s2agt=10:slsq=on:s2a=on:i=462:bs=unit_only:sd=3:kws=arity_squared:slsql=off:bd=off:nm=26:av=off:ss=axioms:sgt=15:fsr=off_0 on theBenchmark for (2993ds/462Mi)
% 4.87/1.14 % (23793)Running in auto input_syntax mode. Trying TPTP
% 4.87/1.14 % (23840)dis+1010_3:2_sil=4000:plsq=on:s2agt=100:sac=on:s2a=on:i=2185:s2at=2.0:ep=RS:tgt=full_0 on theBenchmark for (2993ds/2185Mi)
% 5.39/1.18 % (23812)Instruction limit reached!
% 5.39/1.18 % (23812)------------------------------
% 5.39/1.18 % (23812)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.39/1.18 % (23812)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.39/1.18 % (23812)Termination reason: Time limit
% 5.39/1.18 % (23812)Termination phase: Saturation
% 5.39/1.18
% 5.39/1.18 % (23812)Memory used [KB]: 8927
% 5.39/1.18 % (23812)Time elapsed: 0.296 s
% 5.39/1.18 % (23812)Instructions burned: 1029 (million)
% 5.53/1.21 % (23793)Running in auto input_syntax mode. Trying TPTP
% 5.53/1.21 % (23876)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=308:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2992ds/308Mi)
% 5.63/1.29 % (23839)Instruction limit reached!
% 5.63/1.29 % (23839)------------------------------
% 5.63/1.29 % (23839)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.63/1.29 % (23839)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.63/1.29 % (23839)Termination reason: Time limit
% 5.63/1.29 % (23839)Termination phase: Saturation
% 5.63/1.29
% 5.63/1.29 % (23839)Memory used [KB]: 6127
% 5.63/1.29 % (23839)Time elapsed: 0.152 s
% 5.63/1.29 % (23839)Instructions burned: 464 (million)
% 5.63/1.31 % (23876)Instruction limit reached!
% 5.63/1.31 % (23876)------------------------------
% 5.63/1.31 % (23876)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.63/1.31 % (23876)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.63/1.31 % (23876)Termination reason: Time limit
% 5.63/1.31 % (23876)Termination phase: Saturation
% 5.63/1.31
% 5.63/1.31 % (23876)Memory used [KB]: 7684
% 5.63/1.31 % (23876)Time elapsed: 0.098 s
% 5.63/1.31 % (23876)Instructions burned: 311 (million)
% 6.32/1.33 % (23793)Running in auto input_syntax mode. Trying TPTP
% 6.32/1.33 % (23947)dis+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:spb=goal:rp=on:i=336:bd=off:ins=4:ss=axioms:sgt=32:acc=on:fde=none_0 on theBenchmark for (2991ds/336Mi)
% 6.32/1.34 % (23793)Running in auto input_syntax mode. Trying TPTP
% 6.32/1.34 % (23952)dis+1010_16550053:1048576_to=lpo:ccuc=small_ones:sil=4000:fde=none:plsq=on:avsql=on:plsqr=34063,1048576:sp=const_min:sos=on:acc=model:plsql=on:nwc=10.3787:avsq=on:i=349:sd=1:avsqr=1084175,1048576:nm=0:amm=off:ss=axioms:bce=on:rawr=on:sup=off:bd=off_0 on theBenchmark for (2991ds/349Mi)
% 6.32/1.35 % (23952)Refutation not found, incomplete strategy% (23952)------------------------------
% 6.32/1.35 % (23952)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.32/1.35 % (23952)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.32/1.35 % (23952)Termination reason: Refutation not found, incomplete strategy
% 6.32/1.35
% 6.32/1.35 % (23952)Memory used [KB]: 2171
% 6.32/1.35 % (23952)Time elapsed: 0.010 s
% 6.32/1.35 % (23952)Instructions burned: 20 (million)
% 6.32/1.35 % (23952)------------------------------
% 6.32/1.35 % (23952)------------------------------
% 6.32/1.37 % (23947)First to succeed.
% 6.32/1.37 % (23947)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23793"
% 6.32/1.37 % (23793)Running in auto input_syntax mode. Trying TPTP
% 6.32/1.37 % (23947)Refutation found. Thanks to Tanya!
% 6.32/1.37 % SZS status Theorem for theBenchmark
% 6.32/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 6.32/1.37 % (23947)------------------------------
% 6.32/1.37 % (23947)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.32/1.37 % (23947)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.32/1.37 % (23947)Termination reason: Refutation
% 6.32/1.37
% 6.32/1.37 % (23947)Memory used [KB]: 4325
% 6.32/1.37 % (23947)Time elapsed: 0.038 s
% 6.32/1.37 % (23947)Instructions burned: 129 (million)
% 6.32/1.37 % (23947)------------------------------
% 6.32/1.37 % (23947)------------------------------
% 6.32/1.37 % (23793)Success in time 0.953 s
%------------------------------------------------------------------------------