TSTP Solution File: SWW233+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW233+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n017.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 18:31:41 EDT 2024
% Result : Theorem 1.73s 0.71s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 98 ( 26 unt; 0 def)
% Number of atoms : 247 ( 14 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 252 ( 103 ~; 102 |; 11 &)
% ( 8 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 126 ( 126 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12208,plain,
$false,
inference(avatar_sat_refutation,[],[f5947,f8709,f12197,f12199]) ).
fof(f12199,plain,
( ~ spl80_115
| ~ spl80_2 ),
inference(avatar_split_clause,[],[f12198,f5936,f7066]) ).
fof(f7066,plain,
( spl80_115
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_115])]) ).
fof(f5936,plain,
( spl80_2
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),v_r____) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_2])]) ).
fof(f12198,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)))
| ~ spl80_2 ),
inference(subsumption_resolution,[],[f12061,f4047]) ).
fof(f4047,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1144]) ).
fof(f1144,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f12061,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)))
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal)
| ~ spl80_2 ),
inference(resolution,[],[f6961,f5010]) ).
fof(f5010,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| ~ class_Orderings_Opreorder(X2) ),
inference(cnf_transformation,[],[f3679]) ).
fof(f3679,plain,
! [X0,X1,X2] :
( ( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
| c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
& ( ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
| ~ class_Orderings_Opreorder(X2) ),
inference(flattening,[],[f3678]) ).
fof(f3678,plain,
! [X0,X1,X2] :
( ( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
| c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
& ( ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
| ~ class_Orderings_Opreorder(X2) ),
inference(nnf_transformation,[],[f2912]) ).
fof(f2912,plain,
! [X0,X1,X2] :
( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
<=> ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) )
| ~ class_Orderings_Opreorder(X2) ),
inference(ennf_transformation,[],[f1962]) ).
fof(f1962,plain,
! [X0,X1,X2] :
( class_Orderings_Opreorder(X2)
=> ( c_Orderings_Oord__class_Oless(X2,X1,X0)
<=> ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) ) ),
inference(rectify,[],[f219]) ).
fof(f219,axiom,
! [X12,X13,X4] :
( class_Orderings_Opreorder(X4)
=> ( c_Orderings_Oord__class_Oless(X4,X13,X12)
<=> ( ~ c_Orderings_Oord__class_Oless__eq(X4,X12,X13)
& c_Orderings_Oord__class_Oless__eq(X4,X13,X12) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6961,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),v_r____)
| ~ spl80_2 ),
inference(resolution,[],[f5988,f4074]) ).
fof(f4074,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5988,plain,
( ! [X0] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_r____) )
| ~ spl80_2 ),
inference(subsumption_resolution,[],[f5981,f4047]) ).
fof(f5981,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_r____)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal) )
| ~ spl80_2 ),
inference(resolution,[],[f5938,f5436]) ).
fof(f5436,plain,
! [X2,X3,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(X3,X1,X0)
| c_Orderings_Oord__class_Oless(X3,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Opreorder(X3) ),
inference(cnf_transformation,[],[f3269]) ).
fof(f3269,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,X2,X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Opreorder(X3) ),
inference(flattening,[],[f3268]) ).
fof(f3268,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,X2,X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Opreorder(X3) ),
inference(ennf_transformation,[],[f2220]) ).
fof(f2220,plain,
! [X0,X1,X2,X3] :
( class_Orderings_Opreorder(X3)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
=> ( c_Orderings_Oord__class_Oless(X3,X1,X0)
=> c_Orderings_Oord__class_Oless(X3,X2,X0) ) ) ),
inference(rectify,[],[f204]) ).
fof(f204,axiom,
! [X6,X11,X3,X4] :
( class_Orderings_Opreorder(X4)
=> ( c_Orderings_Oord__class_Oless__eq(X4,X3,X11)
=> ( c_Orderings_Oord__class_Oless(X4,X11,X6)
=> c_Orderings_Oord__class_Oless(X4,X3,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5938,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),v_r____)
| ~ spl80_2 ),
inference(avatar_component_clause,[],[f5936]) ).
fof(f12197,plain,
( spl80_115
| ~ spl80_153 ),
inference(avatar_contradiction_clause,[],[f12196]) ).
fof(f12196,plain,
( $false
| spl80_115
| ~ spl80_153 ),
inference(subsumption_resolution,[],[f12193,f5758]) ).
fof(f5758,plain,
! [X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
inference(equality_resolution,[],[f4667]) ).
fof(f4667,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f3561]) ).
fof(f3561,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ( X0 != X1
& ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
& ( X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
inference(flattening,[],[f3560]) ).
fof(f3560,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ( X0 != X1
& ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
& ( X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
inference(nnf_transformation,[],[f1743]) ).
fof(f1743,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
<=> ( X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(rectify,[],[f254]) ).
fof(f254,axiom,
! [X12,X13] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X12)
<=> ( X12 = X13
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f12193,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,v_r____)
| spl80_115
| ~ spl80_153 ),
inference(superposition,[],[f12188,f6669]) ).
fof(f6669,plain,
v_r____ = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____),
inference(subsumption_resolution,[],[f6642,f3886]) ).
fof(f3886,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1112]) ).
fof(f1112,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6642,plain,
( v_r____ = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)
| ~ class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
inference(resolution,[],[f6591,f4406]) ).
fof(f4406,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| c_Groups_Oabs__class_Oabs(X1,X0) = X0
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(cnf_transformation,[],[f2462]) ).
fof(f2462,plain,
! [X0,X1] :
( c_Groups_Oabs__class_Oabs(X1,X0) = X0
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(flattening,[],[f2461]) ).
fof(f2461,plain,
! [X0,X1] :
( c_Groups_Oabs__class_Oabs(X1,X0) = X0
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(ennf_transformation,[],[f1543]) ).
fof(f1543,plain,
! [X0,X1] :
( class_Groups_Oordered__ab__group__add__abs(X1)
=> ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
=> c_Groups_Oabs__class_Oabs(X1,X0) = X0 ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X15,X4] :
( class_Groups_Oordered__ab__group__add__abs(X4)
=> ( c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Ozero__class_Ozero(X4),X15)
=> c_Groups_Oabs__class_Oabs(X4,X15) = X15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6591,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____),
inference(subsumption_resolution,[],[f6564,f3866]) ).
fof(f3866,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1171]) ).
fof(f1171,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6564,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____)
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(resolution,[],[f5962,f4360]) ).
fof(f4360,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(cnf_transformation,[],[f2433]) ).
fof(f2433,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(ennf_transformation,[],[f1517]) ).
fof(f1517,plain,
! [X0,X1] :
( class_RealVector_Oreal__normed__vector(X1)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X3,X4] :
( class_RealVector_Oreal__normed__vector(X4)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5962,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_r____) ),
inference(subsumption_resolution,[],[f5930,f4051]) ).
fof(f4051,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1153]) ).
fof(f1153,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5930,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_r____)
| ~ class_Orderings_Oorder(tc_RealDef_Oreal) ),
inference(resolution,[],[f5908,f5445]) ).
fof(f5445,plain,
! [X2,X3,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
| c_Orderings_Oord__class_Oless__eq(X3,X0,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(cnf_transformation,[],[f3287]) ).
fof(f3287,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(flattening,[],[f3286]) ).
fof(f3286,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(ennf_transformation,[],[f2229]) ).
fof(f2229,plain,
! [X0,X1,X2,X3] :
( class_Orderings_Oorder(X3)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
=> c_Orderings_Oord__class_Oless__eq(X3,X0,X1) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X6,X3,X11,X4] :
( class_Orderings_Oorder(X4)
=> ( c_Orderings_Oord__class_Oless__eq(X4,X11,X3)
=> ( c_Orderings_Oord__class_Oless__eq(X4,X6,X11)
=> c_Orderings_Oord__class_Oless__eq(X4,X6,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5908,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),v_r____),
inference(resolution,[],[f3854,f4344]) ).
fof(f4344,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[],[f1505]) ).
fof(f1505,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X5,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X6)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3854,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f1263]) ).
fof(f1263,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(flattening,[],[f1262]) ).
fof(f1262,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(negated_conjecture,[],[f1261]) ).
fof(f1261,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f12188,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))
| spl80_115
| ~ spl80_153 ),
inference(subsumption_resolution,[],[f12187,f3946]) ).
fof(f3946,plain,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1114]) ).
fof(f1114,axiom,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f12187,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))
| ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
| spl80_115
| ~ spl80_153 ),
inference(subsumption_resolution,[],[f12183,f8785]) ).
fof(f8785,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ spl80_153 ),
inference(resolution,[],[f8313,f4666]) ).
fof(f4666,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f3561]) ).
fof(f8313,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ spl80_153 ),
inference(avatar_component_clause,[],[f8312]) ).
fof(f8312,plain,
( spl80_153
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl80_153])]) ).
fof(f12183,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
| spl80_115 ),
inference(resolution,[],[f7068,f5362]) ).
fof(f5362,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(cnf_transformation,[],[f3168]) ).
fof(f3168,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(flattening,[],[f3167]) ).
fof(f3167,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(ennf_transformation,[],[f2154]) ).
fof(f2154,plain,
! [X0,X1,X2,X3] :
( class_Groups_Oordered__comm__monoid__add(X3)
=> ( c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
=> c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0)) ) ) ),
inference(rectify,[],[f77]) ).
fof(f77,axiom,
! [X14,X16,X15,X4] :
( class_Groups_Oordered__comm__monoid__add(X4)
=> ( c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Ozero__class_Ozero(X4),X15)
=> ( c_Orderings_Oord__class_Oless__eq(X4,X16,X14)
=> c_Orderings_Oord__class_Oless__eq(X4,X16,c_Groups_Oplus__class_Oplus(X4,X15,X14)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f7068,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)))
| spl80_115 ),
inference(avatar_component_clause,[],[f7066]) ).
fof(f8709,plain,
spl80_153,
inference(avatar_contradiction_clause,[],[f8708]) ).
fof(f8708,plain,
( $false
| spl80_153 ),
inference(subsumption_resolution,[],[f8695,f3955]) ).
fof(f3955,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1127]) ).
fof(f1127,axiom,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f8695,plain,
( ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
| spl80_153 ),
inference(resolution,[],[f8314,f4196]) ).
fof(f4196,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
| ~ class_Rings_Olinordered__semidom(X0) ),
inference(cnf_transformation,[],[f2357]) ).
fof(f2357,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
| ~ class_Rings_Olinordered__semidom(X0) ),
inference(ennf_transformation,[],[f1382]) ).
fof(f1382,plain,
! [X0] :
( class_Rings_Olinordered__semidom(X0)
=> c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
inference(rectify,[],[f301]) ).
fof(f301,axiom,
! [X4] :
( class_Rings_Olinordered__semidom(X4)
=> c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),c_Groups_Oone__class_Oone(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f8314,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| spl80_153 ),
inference(avatar_component_clause,[],[f8312]) ).
fof(f5947,plain,
spl80_2,
inference(avatar_split_clause,[],[f5946,f5936]) ).
fof(f5946,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),v_r____),
inference(subsumption_resolution,[],[f5945,f4047]) ).
fof(f5945,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),v_r____)
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal) ),
inference(subsumption_resolution,[],[f5917,f3854]) ).
fof(f5917,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),v_r____)
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal) ),
inference(resolution,[],[f5908,f5011]) ).
fof(f5011,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Orderings_Opreorder(X2) ),
inference(cnf_transformation,[],[f3679]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW233+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.13 % Command : run_vampire %s %d THM
% 0.13/0.37 % Computer : n017.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Wed Jun 19 07:53:54 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.23/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.23/0.38 Running first-order theorem proving
% 0.23/0.38 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.45 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (21300)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.23/0.45 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (21298)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)
% 0.23/0.45 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (21296)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.23/0.46 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (21297)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)
% 0.23/0.46 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (21301)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.23/0.46 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (21299)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.23/0.47 % (21295)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47 % (21302)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)
% 0.23/0.52 % (21300)Instruction limit reached!
% 0.23/0.52 % (21300)------------------------------
% 0.23/0.52 % (21300)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.52 % (21300)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.52 % (21300)Termination reason: Time limit
% 0.23/0.52 % (21300)Termination phase: Saturation
% 0.23/0.52
% 0.23/0.52 % (21300)Memory used [KB]: 2654
% 0.23/0.52 % (21300)Time elapsed: 0.070 s
% 0.23/0.52 % (21300)Instructions burned: 251 (million)
% 1.10/0.56 % (21295)Running in auto input_syntax mode. Trying TPTP
% 1.10/0.56 % (21332)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)
% 1.10/0.57 % (21302)Instruction limit reached!
% 1.10/0.57 % (21302)------------------------------
% 1.10/0.57 % (21302)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.10/0.57 % (21302)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.10/0.57 % (21302)Termination reason: Time limit
% 1.10/0.57 % (21302)Termination phase: Saturation
% 1.10/0.57
% 1.10/0.57 % (21302)Memory used [KB]: 5177
% 1.10/0.57 % (21302)Time elapsed: 0.101 s
% 1.10/0.57 % (21302)Instructions burned: 283 (million)
% 1.10/0.57 % (21301)Instruction limit reached!
% 1.10/0.57 % (21301)------------------------------
% 1.10/0.57 % (21301)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.10/0.57 % (21301)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.10/0.57 % (21301)Termination reason: Time limit
% 1.10/0.57 % (21301)Termination phase: Saturation
% 1.10/0.57
% 1.10/0.57 % (21301)Memory used [KB]: 2910
% 1.10/0.57 % (21301)Time elapsed: 0.106 s
% 1.10/0.57 % (21301)Instructions burned: 346 (million)
% 1.10/0.60 % (21332)Instruction limit reached!
% 1.10/0.60 % (21332)------------------------------
% 1.10/0.60 % (21332)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.10/0.60 % (21332)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.10/0.60 % (21332)Termination reason: Time limit
% 1.10/0.60 % (21332)Termination phase: Saturation
% 1.10/0.60
% 1.10/0.60 % (21332)Memory used [KB]: 3808
% 1.10/0.60 % (21332)Time elapsed: 0.041 s
% 1.10/0.60 % (21332)Instructions burned: 125 (million)
% 1.10/0.60 % (21295)Running in auto input_syntax mode. Trying TPTP
% 1.10/0.60 % (21355)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 (2998ds/325Mi)
% 1.10/0.60 % (21295)Running in auto input_syntax mode. Trying TPTP
% 1.10/0.60 % (21354)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.53/0.63 % (21295)Running in auto input_syntax mode. Trying TPTP
% 1.53/0.63 % (21367)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 (2998ds/267Mi)
% 1.73/0.70 % (21355)Instruction limit reached!
% 1.73/0.70 % (21355)------------------------------
% 1.73/0.70 % (21355)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.73/0.70 % (21355)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.73/0.70 % (21355)Termination reason: Time limit
% 1.73/0.70 % (21355)Termination phase: Saturation
% 1.73/0.70
% 1.73/0.70 % (21355)Memory used [KB]: 3065
% 1.73/0.70 % (21355)Time elapsed: 0.096 s
% 1.73/0.70 % (21355)Instructions burned: 328 (million)
% 1.73/0.71 % (21354)First to succeed.
% 1.73/0.71 % (21354)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21295"
% 1.73/0.71 % (21295)Running in auto input_syntax mode. Trying TPTP
% 1.73/0.71 % (21354)Refutation found. Thanks to Tanya!
% 1.73/0.71 % SZS status Theorem for theBenchmark
% 1.73/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.71 % (21354)------------------------------
% 1.73/0.71 % (21354)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.73/0.71 % (21354)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.73/0.71 % (21354)Termination reason: Refutation
% 1.73/0.71
% 1.73/0.71 % (21354)Memory used [KB]: 6316
% 1.73/0.71 % (21354)Time elapsed: 0.108 s
% 1.73/0.71 % (21354)Instructions burned: 328 (million)
% 1.73/0.71 % (21354)------------------------------
% 1.73/0.71 % (21354)------------------------------
% 1.73/0.71 % (21295)Success in time 0.281 s
%------------------------------------------------------------------------------